Subgroups — #31763853

Order 17152.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574257	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574255	C₂	1	2	yes	maximal, complemented
3	#22574249	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574244	C₂	1	1	yes	maximal, characteristic, complemented
5	#22574242	C₂	1	1	yes	maximal, characteristic, complemented
6	#22574234	C₂	1	2	yes	maximal, complemented
7	#22574154	C₂	1	2	yes	maximal, complemented
8	#22574150	C₂	1	2	yes	maximal, complemented
9	#22574136	C₂	1	4	yes	maximal, complemented
10	#22574062	C₂	1	1	yes	maximal, characteristic, complemented
11	#22574051	C₂	1	1	yes	maximal, characteristic, complemented
12	#22574049	C₂	1	2	yes	maximal, complemented
13	#22574038	C₂	1	2	yes	maximal, complemented
14	#22574006	C₂	1	1	yes	maximal, characteristic, complemented
15	#22573967	C₂	1	1	yes	maximal, characteristic, complemented
16	#22573909	C₂	1	2	yes	maximal, complemented
17	#22573893	C₂	1	4	yes	maximal, complemented
18	#22573839	C₂	1	2	yes	maximal, complemented
19	#22573819	C₂	1	2	yes	maximal, complemented
20	#22573815	C₂	1	4	yes	maximal, complemented
21	#22573815	C₂	1	2	yes	maximal, complemented
22	#22573776	C₂	1	1	yes	maximal, characteristic, complemented
23	#22573763	C₂	1	2	yes	maximal, complemented
24	#41×D₂₆₈	C₂	1	1	yes	maximal, characteristic, complemented
25	D₄×#11761628	C₂	1	1	yes	maximal, characteristic, complemented
26	#22573692	C₂	1	2	yes	maximal, complemented
27	#22573630	C₂	1	2	yes	maximal, complemented
28	#22573619	C₂	1	4	yes	maximal, complemented
29	#22573506	C₂	1	1	yes	maximal, characteristic, complemented
30	#22573502	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16863908	C₂	1	2	yes	maximal, complemented
32	#525×D₆₇	C₂	1	2	yes	maximal, complemented
33	C₄×#14524089	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
35	C₆₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#14524089	C₂²	1	2	yes	—
37	C₂²×#11761628	C₂²	1	2	yes	complemented
38	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₆₇	C₂²	1	2	yes	complemented
41	#16864131	C₂²	1	2	yes	complemented
42	#16864128	C₂²	1	2	yes	complemented
43	#16864128	C₂²	1	4	yes	complemented
44	#16864120	C₂²	1	1	yes	characteristic, complemented
45	#16864114	C₂²	1	2	yes	complemented
46	#16864112	C₂²	1	1	yes	characteristic, complemented
47	#16864109	C₂²	1	2	yes	complemented
48	#16864107	C₂²	1	1	yes	characteristic, complemented
49	#16864106	C₂²	1	2	yes	complemented
50	#16864104	C₂²	1	2	yes	complemented
51	#16864104	C₂²	1	4	yes	complemented
52	#16864103	C₂²	1	2	yes	complemented
53	#16864102	C₂²	1	4	yes	complemented
54	#16864102	C₂²	1	2	yes	complemented
55	#16864101	C₂²	1	2	yes	complemented
56	#16864099	C₂²	1	2	yes	complemented
57	#16864099	C₂²	1	4	yes	complemented
58	#16864099	C₂²	1	2	yes	complemented
59	#16864098	C₂²	1	2	yes	complemented
60	#16864098	C₂²	1	4	yes	complemented
61	#16864097	C₂²	1	4	yes	complemented
62	#16864097	C₂²	1	4	yes	complemented
63	#16864097	C₂²	1	4	yes	complemented
64	#16864094	C₂²	1	2	yes	complemented
65	#16864092	C₂²	1	4	yes	complemented
66	#16864090	C₂²	1	2	yes	complemented
67	#16864090	C₂²	1	2	yes	complemented
68	#16864090	C₂²	1	2	yes	complemented
69	#16864088	C₂²	1	2	yes	complemented
70	#16864085	C₂²	1	2	yes	complemented
71	#16864084	C₂²	1	2	yes	complemented
72	#16864081	C₂²	1	2	yes	complemented
73	#16864079	C₂²	1	4	yes	complemented
74	#16864073	C₂²	1	4	yes	complemented
75	#16864072	C₂²	1	4	yes	complemented
76	#16864071	C₂²	1	4	yes	complemented
77	#16864071	C₂²	1	4	yes	complemented
78	#16864071	C₂²	1	4	yes	complemented
79	#16864070	C₂²	1	4	yes	complemented
80	#16864070	C₂²	1	4	yes	complemented
81	#16864070	C₂²	1	4	yes	complemented
82	#16864069	C₂²	1	4	yes	complemented
83	#16864069	C₂²	1	4	yes	complemented
84	#16864069	C₂²	1	4	yes	complemented
85	#16864068	C₂²	1	1	yes	characteristic, complemented
86	#16864067	C₂²	1	1	yes	characteristic, complemented
87	#16864064	C₂²	1	2	yes	complemented
88	Q₈×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
89	D₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
90	#16864059	C₂²	1	2	yes	complemented
91	#16864058	C₂²	1	2	yes	complemented
92	#16864056	C₂²	1	2	yes	complemented
93	#16864055	C₂²	1	2	yes	complemented
94	#16864052	C₂²	1	2	yes	complemented
95	#16864051	C₂²	1	1	yes	characteristic, complemented
96	#16864050	C₂²	1	2	yes	complemented
97	#16864050	C₂²	1	1	yes	characteristic, complemented
98	#16864049	C₂²	1	1	yes	characteristic, complemented
99	#16864048	C₂²	1	2	yes	complemented
100	#16864047	C₂²	1	2	yes	complemented
101	#16864047	C₂²	1	2	yes	complemented
102	#16864044	C₂²	1	4	yes	complemented
103	#16864043	C₂²	1	2	yes	complemented
104	#16864042	C₂²	1	2	yes	complemented
105	#16864042	C₂²	1	4	yes	complemented
106	#16864041	C₂²	1	4	yes	complemented
107	#16864041	C₂²	1	2	yes	complemented
108	#16864039	C₂²	1	2	yes	complemented
109	#16864039	C₂²	1	4	yes	complemented
110	#16864038	C₂²	1	4	yes	complemented
111	#16864038	C₂²	1	4	yes	complemented
112	#16864038	C₂²	1	4	yes	complemented
113	#16864038	C₂²	1	4	yes	complemented
114	#16864037	C₂²	1	2	yes	complemented
115	#16864037	C₂²	1	4	yes	complemented
116	#16864037	C₂²	1	2	yes	complemented
117	#16864037	C₂²	1	2	yes	complemented
118	#16864036	C₂²	1	4	yes	complemented
119	#16864036	C₂²	1	4	yes	complemented
120	#16864034	C₂²	1	2	yes	complemented
121	#16864034	C₂²	1	2	yes	complemented
122	#16864033	C₂²	1	4	yes	complemented
123	D₄×D₂₆₈	C₂²	1	2	yes	complemented
124	D₄×D₂₆₈	C₂²	1	2	yes	complemented
125	D₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
126	D₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
127	#16864030	C₂²	1	4	yes	complemented
128	#16864030	C₂²	1	2	yes	complemented
129	#16864030	C₂²	1	2	yes	complemented
130	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
131	#16864028	C₂²	1	4	yes	complemented
132	#16864026	C₂²	1	2	yes	complemented
133	#16864021	C₂²	1	4	yes	complemented
134	#16864019	C₂²	1	2	yes	complemented
135	#16864015	C₂²	1	2	yes	complemented
136	#16864012	C₂²	1	4	yes	complemented
137	#16864002	C₂²	1	2	yes	complemented
138	#16863999	C₂²	1	2	yes	complemented
139	#16863998	C₂²	1	4	yes	complemented
140	#16863994	C₂²	1	4	yes	complemented
141	#16863994	C₂²	1	4	yes	complemented
142	#16863990	C₂²	1	4	yes	complemented
143	#16863990	C₂²	1	4	yes	complemented
144	#16863987	C₂²	1	4	yes	complemented
145	#16863987	C₂²	1	4	yes	complemented
146	#16863986	C₂²	1	4	yes	complemented
147	#16863985	C₂²	1	4	yes	complemented
148	#16863985	C₂²	1	4	yes	complemented
149	#16863985	C₂²	1	4	yes	complemented
150	#16863983	C₂²	1	4	yes	complemented
151	#16863982	C₂²	1	4	yes	complemented
152	#16863980	C₂²	1	4	yes	complemented
153	#16863980	C₂²	1	4	yes	complemented
154	#16863976	C₂²	1	2	yes	complemented
155	#16863964	C₂²	1	2	yes	complemented
156	#16863962	C₂²	1	2	yes	complemented
157	#16863957	C₂²	1	4	yes	complemented
158	#16863957	C₂²	1	4	yes	complemented
159	#16863954	C₂²	1	4	yes	complemented
160	#16863951	C₂²	1	1	yes	characteristic, complemented
161	#16863951	C₂²	1	1	yes	characteristic, complemented
162	#16863950	C₂²	1	1	yes	characteristic, complemented
163	#16863950	C₂²	1	1	yes	characteristic, complemented
164	#16863949	C₂²	1	1	yes	characteristic, complemented
165	#16863947	C₂²	1	1	yes	characteristic, complemented
166	#16863947	C₂²	1	1	yes	characteristic, complemented
167	#16863946	C₂²	1	1	yes	characteristic, complemented
168	#16863946	C₂²	1	2	yes	complemented
169	#16863943	C₂²	1	2	yes	complemented
170	#16863943	C₂²	1	1	yes	characteristic, complemented
171	#16863943	C₂²	1	1	yes	characteristic, complemented
172	#16863943	C₂²	1	4	yes	complemented
173	#16863942	C₂²	1	1	yes	characteristic, complemented
174	#16863933	C₂²	1	2	yes	complemented
175	#16863933	C₂²	1	1	yes	characteristic, complemented
176	#16863933	C₂²	1	1	yes	characteristic, complemented
177	#16863933	C₂²	1	2	yes	complemented
178	#16863933	C₂²	1	4	yes	complemented
179	#16863933	C₂²	1	2	yes	complemented
180	#16863932	C₂²	1	2	yes	complemented
181	#16863932	C₂²	1	2	yes	complemented
182	#16863931	C₂²	1	2	yes	complemented
183	#16863931	C₂²	1	2	yes	complemented
184	#16863930	C₂²	1	4	yes	complemented
185	#16863928	C₂²	1	1	yes	characteristic, complemented
186	#16863928	C₂²	1	1	yes	characteristic, complemented
187	#16863926	C₂²	1	2	yes	complemented
188	#16863926	C₂²	1	2	yes	complemented
189	#16863924	C₂²	1	2	yes	complemented
190	#16863924	C₂²	1	2	yes	complemented
191	#16863924	C₂²	1	4	yes	complemented
192	#16863924	C₂²	1	4	yes	complemented
193	#16863909	C₂²	1	2	yes	complemented
194	#16863909	C₂²	1	2	yes	complemented
195	#16863909	C₂²	1	2	yes	complemented
196	#16863909	C₂²	1	2	yes	complemented
197	#16863908	C₂²	1	4	yes	complemented
198	#16863908	C₂²	1	2	yes	complemented
199	#16863908	C₂²	1	1	yes	characteristic, complemented
200	#16863908	C₂²	1	4	yes	complemented
201	#16863908	C₂²	1	2	yes	complemented
202	#16863908	C₂²	1	2	yes	complemented
203	#16863908	C₂²	1	4	yes	complemented
204	#16863908	C₂²	1	2	yes	complemented
205	#16863908	C₂²	1	2	yes	complemented
206	#16863908	C₂²	1	2	yes	complemented
207	#16863908	C₂²	1	2	yes	complemented
208	#16863908	C₂²	1	4	yes	complemented
209	#16863908	C₂²	1	4	yes	complemented
210	#16863907	C₂²	1	2	yes	complemented
211	#16863906	C₂²	1	2	yes	complemented
212	#16863906	C₂²	1	2	yes	complemented
213	#16863905	C₂²	1	2	yes	complemented
214	#16863905	C₂²	1	2	yes	complemented
215	#16863905	C₂²	1	4	yes	complemented
216	#16863905	C₂²	1	4	yes	complemented
217	#16863905	C₂²	1	4	yes	complemented
218	#16863905	C₂²	1	4	yes	complemented
219	#16863905	C₂²	1	4	yes	complemented
220	#16863904	C₂²	1	4	yes	complemented
221	#16863903	C₂²	1	1	yes	characteristic, complemented
222	#16863902	C₂²	1	4	yes	complemented
223	C₂×#14524027	C₂²	1	4	yes	complemented
224	#123×D₆₇	C₂²	1	4	yes	complemented
225	C₂×#14524023	C₂²	1	2	yes	complemented
226	C₂×#14524023	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
228	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
229	C₂×#14524018	C₂²	1	2	yes	complemented
230	C₂×#14524018	C₂²	1	2	yes	complemented
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	#121×D₆₇	C₂²	1	2	yes	complemented
233	C₂×#14524013	C₂²	1	4	yes	complemented
234	#120×D₆₇	C₂²	1	4	yes	complemented
235	#16863879	C₂²	1	2	yes	complemented
236	#16863878	C₂²	1	2	yes	complemented
237	#16863878	C₂²	1	2	yes	complemented
238	#16863876	C₂²	1	2	yes	complemented
239	#16863876	C₂²	1	4	yes	complemented
240	#16863870	C₂²	1	4	yes	complemented
241	#16863870	C₂²	1	2	yes	complemented
242	#16863868	C₂²	1	2	yes	—
243	#16863868	C₂²	1	2	yes	complemented
244	#16863868	C₂²	1	4	yes	complemented
245	#16863868	C₂²	1	4	yes	complemented
246	C₄×#11761629	C₂²	1	2	yes	complemented
247	C₄×#11761629	C₂²	1	2	yes	complemented
248	C₄×#11761629	C₂²	1	2	yes	complemented
249	C₄×#11761628	C₂²	1	1	yes	characteristic, complemented
250	C₄×#11761628	C₂²	1	2	yes	complemented
251	C₄×#11761628	C₂²	1	2	yes	complemented
252	C₄×#11761628	C₂²	1	4	yes	complemented
253	#16863864	C₂²	1	2	yes	complemented
254	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
255	C₂×C₄×D₂₆₈	C₂²	1	4	yes	complemented
256	C₂×C₄×D₂₆₈	C₂²	1	4	yes	complemented
257	C₂×C₄×D₂₆₈	C₂²	1	2	yes	complemented
258	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
259	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
261	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
262	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
263	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
264	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
265	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
266	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
267	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
268	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
269	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
270	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
271	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
272	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
273	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
274	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
275	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
276	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
277	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
278	#117×D₆₇	C₂²	1	2	yes	complemented
279	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
280	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
281	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
282	#556×C₆₇	C₂²	1	1	yes	characteristic, complemented
283	#555×C₆₇	C₂²	1	1	yes	characteristic, complemented
284	#554×C₆₇	C₂²	1	1	yes	characteristic, complemented
285	#553×C₆₇	C₂²	1	2	yes	complemented
286	#552×C₆₇	C₂²	1	2	yes	complemented
287	#552×C₆₇	C₂²	1	2	yes	complemented
288	#551×C₆₇	C₂²	1	4	yes	complemented
289	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
290	#546×C₆₇	C₂²	1	2	yes	complemented
291	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
292	#529×C₆₇	C₂²	1	4	yes	complemented
293	#529×C₆₇	C₂²	1	2	yes	complemented
294	#525×C₆₇	C₂²	1	2	yes	complemented
295	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
296	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
297	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₆₇	C₂²	1	2	yes	complemented
299	C₂⁴×D₆₇	C₂³	1	2	yes	—
300	#14524089	—	2	16	no	—
301	C₂×#11761629	C₂³	1	2	yes	—
302	C₂×#11761629	C₂³	1	2	yes	—
303	C₂×#11761629	C₂³	1	2	yes	—
304	C₂×#11761629	C₂³	1	2	yes	complemented
305	C₂×#11761628	—	4	8	no	—
306	C₂×#11761628	C₂³	1	4	yes	—
307	C₂×#11761628	C₂³	1	2	yes	—
308	C₂×#11761628	C₂³	1	2	yes	—
309	C₂×#11761628	C₂³	1	1	yes	characteristic
310	C₂×#11761628	C₂³	1	4	yes	—
311	C₂×#11761628	C₂³	1	2	yes	—
312	C₂×#11761628	C₂³	1	2	yes	complemented
313	C₂×#11761628	C₂³	1	2	yes	complemented
314	C₂×#11761628	C₂³	1	4	yes	complemented
315	C₂×#11761628	C₂³	1	4	yes	complemented
316	C₂×#11761627	C₂³	1	4	yes	—
317	C₂×#11761627	C₂³	1	2	yes	complemented
318	#41×D₆₇	—	4	8	no	—
319	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
320	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
321	C₂²×D₂₆₈	C₂³	1	2	yes	—
322	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
323	C₂²×D₂₆₈	C₂³	1	4	yes	—
324	C₂²×D₂₆₈	C₂³	1	4	yes	—
325	C₂²×D₂₆₈	C₂³	1	2	yes	complemented
326	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
327	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
328	C₂×D₄×D₆₇	—	2	8	no	—
329	C₂×D₄×D₆₇	C₂³	1	4	yes	—
330	C₂×D₄×D₆₇	C₂³	1	2	yes	—
331	C₂×D₄×D₆₇	C₂³	1	2	yes	—
332	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
334	C₂×D₄×D₆₇	C₂³	1	2	yes	—
335	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
336	C₂×D₄×D₆₇	C₂³	1	4	yes	—
337	C₂×D₄×D₆₇	C₂³	1	4	yes	—
338	C₂×D₄×D₆₇	C₂³	1	4	yes	—
339	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
341	C₂³×Dic₆₇	C₂³	1	2	yes	—
342	C₂²×C₄×D₆₇	—	4	8	no	—
343	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
345	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
346	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
347	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
348	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
349	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
350	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
351	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
352	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
353	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
354	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
355	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
356	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
357	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
358	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
359	#14524043	C₂³	1	2	yes	complemented
360	#14524043	C₂³	1	1	yes	characteristic, complemented
361	#14524042	C₂³	1	4	yes	complemented
362	#14524042	C₂³	1	2	yes	complemented
363	#14524042	C₂³	1	1	yes	characteristic, complemented
364	#14524042	C₂³	1	1	yes	characteristic, complemented
365	#14524041	C₂³	1	1	yes	characteristic, complemented
366	#14524040	C₂³	1	2	yes	—
367	#14524040	C₂³	1	1	yes	characteristic, complemented
368	#14524039	C₂³	1	4	yes	—
369	#14524039	C₂³	1	2	yes	—
370	#14524039	C₂³	1	1	yes	characteristic, complemented
371	#14524038	C₂³	1	4	yes	complemented
372	#14524038	C₂³	1	4	yes	complemented
373	#14524038	C₂³	1	2	yes	complemented
374	#14524038	C₂³	1	4	yes	complemented
375	#14524038	C₂³	1	4	yes	complemented
376	#14524038	C₂³	1	4	yes	complemented
377	#14524038	C₂³	1	4	yes	complemented
378	#14524038	C₂³	1	2	yes	complemented
379	#14524038	C₂³	1	4	yes	complemented
380	#14524037	C₂³	1	4	yes	complemented
381	#14524037	C₂³	1	4	yes	complemented
382	#14524036	C₂³	1	4	yes	complemented
383	#14524036	C₂³	1	2	yes	complemented
384	#14524036	C₂³	1	4	yes	complemented
385	#14524036	C₂³	1	2	yes	complemented
386	#14524035	C₂³	1	4	yes	complemented
387	#14524034	C₂³	1	2	yes	complemented
388	#14524034	C₂³	1	1	yes	characteristic, complemented
389	#14524034	C₂³	1	4	yes	complemented
390	#14524034	C₂³	1	1	yes	characteristic, complemented
391	#14524034	C₂³	1	2	yes	complemented
392	#14524034	C₂³	1	2	yes	complemented
393	#14524033	C₂³	1	4	yes	complemented
394	#14524033	C₂³	1	4	yes	complemented
395	#14524033	C₂³	1	2	yes	complemented
396	#14524033	C₂³	1	2	yes	complemented
397	#14524032	C₂³	1	2	yes	—
398	#14524032	C₂³	1	2	yes	complemented
399	#14524032	C₂³	1	1	yes	characteristic, complemented
400	#14524032	C₂³	1	4	yes	complemented
401	#14524032	C₂³	1	2	yes	complemented
402	#14524031	C₂³	1	4	yes	complemented
403	#14524031	C₂³	1	2	yes	complemented
404	#14524031	C₂³	1	4	yes	complemented
405	#14524030	C₂³	1	1	yes	characteristic, complemented
406	#14524029	C₂³	1	4	yes	—
407	#14524029	C₂³	1	4	yes	complemented
408	#14524029	C₂³	1	4	yes	complemented
409	#14524029	C₂³	1	4	yes	complemented
410	#14524029	C₂³	1	2	yes	complemented
411	#14524029	C₂³	1	4	yes	complemented
412	#14524029	C₂³	1	2	yes	complemented
413	#14524028	C₂³	1	2	yes	—
414	#14524028	C₂³	1	4	yes	—
415	#14524028	C₂³	1	4	yes	—
416	#14524028	C₂³	1	2	yes	—
417	#14524028	C₂³	1	4	yes	—
418	#14524028	C₂³	1	4	yes	complemented
419	#14524028	C₂³	1	4	yes	complemented
420	#14524028	C₂³	1	4	yes	complemented
421	#14524028	C₂³	1	4	yes	complemented
422	#14524028	C₂³	1	4	yes	complemented
423	#14524028	C₂³	1	4	yes	complemented
424	#14524028	C₂³	1	4	yes	complemented
425	#14524028	C₂³	1	4	yes	complemented
426	#14524028	C₂³	1	4	yes	complemented
427	#14524027	C₂³	1	4	yes	—
428	#14524027	C₂³	1	4	yes	—
429	#14524027	C₂³	1	4	yes	—
430	#14524027	C₂³	1	2	yes	—
431	#14524027	C₂³	1	4	yes	complemented
432	#14524027	C₂³	1	4	yes	complemented
433	#14524027	C₂³	1	4	yes	complemented
434	#14524027	C₂³	1	4	yes	complemented
435	#14524027	C₂³	1	4	yes	complemented
436	#14524027	C₂³	1	4	yes	complemented
437	#14524026	C₂³	1	4	yes	—
438	#14524026	C₂³	1	4	yes	—
439	#14524026	C₂³	1	4	yes	complemented
440	#14524025	C₂³	1	4	yes	—
441	#14524025	C₂³	1	2	yes	—
442	#14524025	C₂³	1	2	yes	—
443	#14524025	C₂³	1	4	yes	complemented
444	#14524025	C₂³	1	4	yes	complemented
445	#14524025	C₂³	1	4	yes	complemented
446	#14524025	C₂³	1	4	yes	complemented
447	#14524025	C₂³	1	4	yes	complemented
448	#14524025	C₂³	1	4	yes	complemented
449	#14524024	C₂³	1	2	yes	—
450	#14524023	C₂³	1	4	yes	—
451	#14524023	C₂³	1	4	yes	—
452	#14524023	C₂³	1	2	yes	—
453	#14524023	C₂³	1	2	yes	—
454	#14524023	C₂³	1	1	yes	characteristic
455	#14524023	C₂³	1	1	yes	characteristic
456	#14524023	C₂³	1	4	yes	complemented
457	#14524023	C₂³	1	4	yes	complemented
458	#14524023	C₂³	1	2	yes	complemented
459	#14524023	C₂³	1	2	yes	complemented
460	#14524023	C₂³	1	2	yes	complemented
461	#14524023	C₂³	1	4	yes	complemented
462	#14524023	C₂³	1	2	yes	complemented
463	#14524023	C₂³	1	4	yes	complemented
464	#14524022	C₂³	1	4	yes	complemented
465	#14524022	C₂³	1	2	yes	complemented
466	#14524022	C₂³	1	2	yes	complemented
467	#14524021	C₂³	1	2	yes	—
468	#14524021	C₂³	1	4	yes	—
469	#14524021	C₂³	1	2	yes	—
470	#14524021	C₂³	1	4	yes	—
471	#14524021	C₂³	1	4	yes	complemented
472	#14524021	C₂³	1	4	yes	complemented
473	#14524021	C₂³	1	4	yes	complemented
474	#14524021	C₂³	1	4	yes	complemented
475	#14524021	C₂³	1	4	yes	complemented
476	#14524020	C₂³	1	2	yes	—
477	#14524020	C₂³	1	2	yes	—
478	#14524020	C₂³	1	4	yes	complemented
479	#14524020	C₂³	1	4	yes	complemented
480	#14524020	C₂³	1	4	yes	complemented
481	#14524020	C₂³	1	4	yes	complemented
482	#14524020	C₂³	1	4	yes	complemented
483	#14524019	C₂³	1	2	yes	—
484	#14524019	C₂³	1	2	yes	—
485	#14524019	C₂³	1	1	yes	characteristic
486	#14524019	C₂³	1	1	yes	characteristic
487	#14524019	C₂³	1	2	yes	complemented
488	#14524019	C₂³	1	4	yes	complemented
489	#14524018	C₂³	1	2	yes	—
490	#14524018	C₂³	1	2	yes	—
491	#14524018	C₂³	1	4	yes	—
492	#14524018	C₂³	1	4	yes	—
493	#14524018	C₂³	1	4	yes	—
494	#14524018	C₂³	1	2	yes	—
495	#14524018	C₂³	1	2	yes	—
496	#14524018	C₂³	1	1	yes	characteristic
497	#14524018	C₂³	1	1	yes	characteristic
498	#14524018	C₂³	1	4	yes	—
499	#14524018	C₂³	1	2	yes	—
500	#14524018	C₂³	1	2	yes	complemented
501	#14524018	C₂³	1	4	yes	complemented
502	#14524018	C₂³	1	4	yes	complemented
503	#14524018	C₂³	1	2	yes	complemented
504	#14524018	C₂³	1	2	yes	complemented
505	#14524018	C₂³	1	4	yes	complemented
506	#14524018	C₂³	1	4	yes	complemented
507	#14524018	C₂³	1	2	yes	complemented
508	#14524018	C₂³	1	2	yes	complemented
509	#14524017	C₂³	1	2	yes	—
510	#14524017	C₂³	1	2	yes	—
511	#14524017	C₂³	1	4	yes	—
512	#14524017	C₂³	1	2	yes	—
513	#14524017	C₂³	1	2	yes	complemented
514	#14524017	C₂³	1	2	yes	complemented
515	#14524017	C₂³	1	4	yes	complemented
516	#14524017	C₂³	1	2	yes	complemented
517	#14524016	C₂³	1	4	yes	—
518	#14524016	C₂³	1	4	yes	—
519	#14524016	C₂³	1	2	yes	—
520	#14524016	C₂³	1	4	yes	—
521	#14524016	C₂³	1	4	yes	—
522	#14524016	C₂³	1	4	yes	—
523	#14524016	C₂³	1	4	yes	—
524	#14524016	C₂³	1	2	yes	—
525	#14524016	C₂³	1	4	yes	complemented
526	#14524016	C₂³	1	4	yes	complemented
527	#14524016	C₂³	1	4	yes	complemented
528	#14524016	C₂³	1	4	yes	complemented
529	#14524015	C₂³	1	2	yes	—
530	#14524015	C₂³	1	4	yes	—
531	#14524015	C₂³	1	4	yes	—
532	#14524015	C₂³	1	2	yes	—
533	#14524015	C₂³	1	4	yes	complemented
534	#14524015	C₂³	1	4	yes	complemented
535	#14524015	C₂³	1	4	yes	complemented
536	#14524014	C₂³	1	2	yes	—
537	#14524014	C₂³	1	1	yes	characteristic
538	#14524014	C₂³	1	1	yes	characteristic
539	#14524014	C₂³	1	4	yes	complemented
540	#14524013	C₂³	1	4	yes	—
541	#14524013	C₂³	1	4	yes	—
542	#14524013	C₂³	1	4	yes	—
543	#14524013	C₂³	1	4	yes	—
544	#14524013	C₂³	1	4	yes	—
545	#14524013	C₂³	1	4	yes	—
546	#14524013	C₂³	1	4	yes	—
547	#14524013	C₂³	1	4	yes	—
548	#14524013	C₂³	1	4	yes	—
549	#14524013	C₂³	1	2	yes	—
550	#14524013	C₂³	1	4	yes	—
551	#14524013	C₂³	1	4	yes	—
552	#14524013	C₂³	1	4	yes	complemented
553	#14524013	C₂³	1	4	yes	complemented
554	#14524013	C₂³	1	4	yes	complemented
555	#14524012	C₂³	1	4	yes	—
556	#14524011	C₂³	1	4	yes	—
557	#14524011	C₂³	1	4	yes	—
558	#14524011	C₂³	1	4	yes	—
559	#14524011	C₂³	1	2	yes	—
560	#14524011	C₂³	1	4	yes	—
561	#14524011	C₂³	1	4	yes	complemented
562	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
563	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
564	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
565	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
566	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
567	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
568	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
569	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
570	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
571	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
572	#14524008	C₂³	1	2	yes	complemented
573	#14524008	C₂³	1	2	yes	complemented
574	C₄×D₂₆₈	C₂³	1	2	yes	—
575	C₄×D₂₆₈	C₂³	1	2	yes	—
576	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
577	C₄×D₂₆₈	C₂³	1	4	yes	—
578	C₄×D₂₆₈	C₂³	1	2	yes	—
579	C₄×D₂₆₈	C₂³	1	4	yes	—
580	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
581	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
582	C₄×D₂₆₈	C₂³	1	2	yes	—
583	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
584	C₄×D₂₆₈	C₂³	1	4	yes	—
585	C₄×D₂₆₈	C₂³	1	4	yes	—
586	C₄×D₂₆₈	C₂³	1	2	yes	—
587	C₄×D₂₆₈	C₂³	1	2	yes	—
588	C₄×D₂₆₈	C₂³	1	4	yes	—
589	C₄×D₂₆₈	C₂³	1	4	yes	—
590	C₄×D₂₆₈	C₂³	1	2	yes	—
591	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
592	C₄×D₂₆₈	C₂³	1	4	yes	complemented
593	C₄×D₂₆₈	C₂³	1	4	yes	complemented
594	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
595	C₄×D₂₆₈	C₂³	1	2	yes	complemented
596	C₄×D₂₆₈	C₂³	1	4	yes	complemented
597	C₄×D₂₆₈	C₂³	1	4	yes	complemented
598	C₄×D₂₆₈	C₂³	1	4	yes	complemented
599	C₄×D₂₆₈	C₂³	1	2	yes	complemented
600	C₄×D₂₆₈	C₂³	1	4	yes	complemented
601	C₄×D₂₆₈	C₂³	1	4	yes	complemented
602	C₄×D₂₆₈	C₂³	1	4	yes	complemented
603	C₄×D₂₆₈	C₂³	1	4	yes	complemented
604	C₄×D₂₆₈	C₂³	1	4	yes	complemented
605	C₄×D₂₆₈	C₂³	1	2	yes	complemented
606	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
607	D₄×Dic₆₇	C₂³	1	2	yes	—
608	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
609	D₄×Dic₆₇	C₂³	1	2	yes	—
610	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
611	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
612	D₄×Dic₆₇	C₂³	1	2	yes	—
613	D₄×Dic₆₇	C₂³	1	4	yes	complemented
614	D₄×Dic₆₇	C₂³	1	4	yes	complemented
615	D₄×Dic₆₇	C₂³	1	4	yes	complemented
616	#14524005	C₂³	1	1	yes	characteristic
617	#14524005	C₂³	1	2	yes	—
618	#14524005	C₂³	1	4	yes	—
619	#14524005	C₂³	1	1	yes	characteristic
620	#14524005	C₂³	1	4	yes	—
621	#14524005	C₂³	1	2	yes	—
622	#14524005	C₂³	1	1	yes	characteristic
623	#14524005	C₂³	1	1	yes	characteristic
624	#14524005	C₂³	1	2	yes	—
625	#14524005	C₂³	1	4	yes	—
626	#14524005	C₂³	1	4	yes	—
627	#14524005	C₂³	1	2	yes	complemented
628	#14524005	C₂³	1	2	yes	complemented
629	#14524005	C₂³	1	2	yes	complemented
630	#14524005	C₂³	1	2	yes	complemented
631	#14524005	C₂³	1	4	yes	complemented
632	#14524005	C₂³	1	4	yes	complemented
633	#14524005	C₂³	1	2	yes	complemented
634	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
635	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
636	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
637	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
638	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
639	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
640	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
641	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
642	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
643	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
644	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
645	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
646	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
647	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
648	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
649	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
650	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
651	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
652	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
653	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
654	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
655	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
656	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
657	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
658	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
659	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
660	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
661	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
662	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
663	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
664	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
665	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
666	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
667	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
668	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
669	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
670	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
671	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
672	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
673	#14524002	C₂³	1	1	yes	characteristic
674	#14524002	C₂³	1	2	yes	complemented
675	#14524002	C₂³	1	4	yes	complemented
676	#14524002	C₂³	1	2	yes	complemented
677	#14524001	C₂³	1	2	yes	—
678	#14524001	C₂³	1	2	yes	—
679	#14524001	C₂³	1	4	yes	complemented
680	#14524001	C₂³	1	4	yes	complemented
681	#14524001	C₂³	1	4	yes	complemented
682	#14524001	C₂³	1	2	yes	complemented
683	#14524001	C₂³	1	2	yes	complemented
684	#14524001	C₂³	1	2	yes	complemented
685	#14524000	C₂³	1	2	yes	—
686	#14524000	C₂³	1	2	yes	—
687	#14524000	C₂³	1	2	yes	complemented
688	#14524000	C₂³	1	2	yes	complemented
689	#14524000	C₂³	1	4	yes	complemented
690	#14524000	C₂³	1	4	yes	complemented
691	#14524000	C₂³	1	4	yes	complemented
692	#14524000	C₂³	1	4	yes	complemented
693	#14524000	C₂³	1	2	yes	complemented
694	#14523999	C₂³	1	4	yes	—
695	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
696	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
697	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
698	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
699	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
700	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
701	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
702	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
703	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
704	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
705	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
706	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
707	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
708	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
709	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
710	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
711	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
712	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
713	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
714	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
715	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
716	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
717	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
718	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
719	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
720	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
722	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
723	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
724	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
726	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
728	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
729	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
730	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
731	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
732	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
733	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
734	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
735	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
736	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
737	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
738	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
739	C₄²×D₆₇	C₂³	1	1	yes	characteristic
740	C₄²×D₆₇	C₂³	1	1	yes	characteristic
741	C₄²×D₆₇	C₂³	1	1	yes	characteristic
742	C₄²×D₆₇	C₂³	1	1	yes	characteristic
743	C₄²×D₆₇	C₂³	1	1	yes	characteristic
744	C₄²×D₆₇	C₂³	1	1	yes	characteristic
745	C₄²×D₆₇	C₂³	1	1	yes	characteristic
746	C₄²×D₆₇	C₂³	1	1	yes	characteristic
747	C₄²×D₆₇	C₂³	1	4	yes	complemented
748	C₄²×D₆₇	C₂³	1	4	yes	complemented
749	C₄²×D₆₇	C₂³	1	2	yes	complemented
750	C₂×#41×C₆₇	C₂³	1	2	yes	—
751	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
752	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
753	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
754	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
755	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
756	#126×C₆₇	C₂³	1	4	yes	complemented
757	#126×C₆₇	C₂³	1	4	yes	complemented
758	#126×C₆₇	C₂³	1	4	yes	complemented
759	#125×C₆₇	C₂³	1	2	yes	complemented
760	#125×C₆₇	C₂³	1	4	yes	complemented
761	#125×C₆₇	C₂³	1	2	yes	complemented
762	#124×C₆₇	C₂³	1	2	yes	—
763	#124×C₆₇	C₂³	1	4	yes	complemented
764	#123×C₆₇	C₂³	1	4	yes	—
765	#123×C₆₇	C₂³	1	4	yes	—
766	#123×C₆₇	C₂³	1	4	yes	complemented
767	#123×C₆₇	C₂³	1	4	yes	complemented
768	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
769	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
770	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
771	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
772	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
773	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
774	#121×C₆₇	C₂³	1	4	yes	—
775	#121×C₆₇	C₂³	1	2	yes	—
776	#121×C₆₇	C₂³	1	2	yes	complemented
777	#121×C₆₇	C₂³	1	2	yes	complemented
778	#120×C₆₇	C₂³	1	4	yes	—
779	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
780	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
781	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
782	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
783	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
784	C₄×D₄×C₆₇	C₂³	1	2	yes	—
785	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
786	C₄×D₄×C₆₇	C₂³	1	2	yes	—
787	C₄×D₄×C₆₇	C₂³	1	2	yes	—
788	C₄×D₄×C₆₇	C₂³	1	2	yes	—
789	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
790	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
791	C₄×D₄×C₆₇	C₂³	1	2	yes	—
792	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
793	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
794	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
795	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
796	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
797	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
798	#117×C₆₇	C₂³	1	1	yes	characteristic
799	#117×C₆₇	C₂³	1	4	yes	—
800	#117×C₆₇	C₂³	1	2	yes	—
801	#117×C₆₇	C₂³	1	4	yes	complemented
802	#117×C₆₇	C₂³	1	2	yes	complemented
803	#117×C₆₇	C₂³	1	2	yes	complemented
804	#117×C₆₇	C₂³	1	4	yes	complemented
805	#117×C₆₇	C₂³	1	2	yes	complemented
806	#117×C₆₇	C₂³	1	2	yes	complemented
807	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
808	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
809	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
810	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
811	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
812	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
813	C₂×C₄²×C₆₇	C₂³	1	4	yes	complemented
814	C₂×C₄²×C₆₇	C₂³	1	2	yes	complemented
815	C₂³×D₆₇	—	2	8	no	—
816	C₂³×D₆₇	—	4	4	no	—
817	C₂³×D₆₇	—	4	4	no	—
818	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
819	C₂³×D₆₇	C₂⁴	1	2	yes	—
820	C₂³×D₆₇	C₂⁴	1	2	yes	—
821	C₂³×D₆₇	C₂⁴	1	2	yes	—
822	C₂³×D₆₇	C₂⁴	1	2	yes	—
823	C₂³×D₆₇	C₂⁴	1	4	yes	—
824	C₂³×D₆₇	C₂⁴	1	4	yes	—
825	C₂³×D₆₇	C₂⁴	1	2	yes	—
826	#11761629	—	2	8	no	—
827	#11761629	—	2	8	no	—
828	#11761629	—	4	4	no	—
829	#11761629	—	4	4	no	—
830	#11761628	—	2	8	no	—
831	#11761628	—	2	4	no	—
832	#11761628	—	2	16	no	—
833	#11761628	—	2	8	no	—
834	#11761628	—	4	4	no	—
835	#11761628	—	4	4	no	—
836	#11761628	—	4	8	no	—
837	#11761628	—	4	8	no	—
838	#11761628	—	4	4	no	—
839	#11761628	—	4	8	no	—
840	#11761627	—	4	4	no	—
841	#11761627	—	4	8	no	—
842	C₂×Dic₁₃₄	—	4	4	no	—
843	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
844	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
845	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
846	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
847	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
848	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
849	Q₈×D₆₇	—	4	4	no	—
850	C₂×D₂₆₈	—	2	16	no	—
851	C₂×D₂₆₈	—	2	4	no	—
852	C₂×D₂₆₈	—	2	8	no	—
853	C₂×D₂₆₈	—	4	4	no	—
854	C₂×D₂₆₈	—	4	8	no	—
855	C₂×D₂₆₈	C₂⁴	1	4	yes	—
856	C₂×D₂₆₈	C₂⁴	1	4	yes	—
857	C₂×D₂₆₈	C₂⁴	1	2	yes	—
858	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
859	C₂×D₂₆₈	C₂⁴	1	4	yes	—
860	C₂×D₂₆₈	C₂⁴	1	2	yes	—
861	C₂×D₂₆₈	C₂⁴	1	2	yes	—
862	C₂×D₂₆₈	C₂⁴	1	2	yes	—
863	C₂×D₂₆₈	C₂⁴	1	2	yes	—
864	C₂×D₂₆₈	C₂⁴	1	4	yes	—
865	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
866	C₂×D₂₆₈	C₂⁴	1	2	yes	—
867	C₂×D₂₆₈	C₂⁴	1	4	yes	—
868	C₂×D₂₆₈	C₂⁴	1	4	yes	—
869	C₂×D₂₆₈	C₂⁴	1	4	yes	—
870	C₂×D₂₆₈	C₂⁴	1	4	yes	—
871	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
872	C₂×C₂²⋊D₆₇	—	2	8	no	—
873	C₂×C₂²⋊D₆₇	—	4	8	no	—
874	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
879	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
883	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
885	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
890	D₄×D₆₇	—	2	8	no	—
891	D₄×D₆₇	—	2	16	no	—
892	D₄×D₆₇	—	2	4	no	—
893	D₄×D₆₇	—	2	8	no	—
894	D₄×D₆₇	—	2	8	no	—
895	D₄×D₆₇	—	2	16	no	—
896	D₄×D₆₇	—	2	4	no	—
897	D₄×D₆₇	—	2	4	no	—
898	D₄×D₆₇	—	4	4	no	—
899	D₄×D₆₇	—	4	8	no	—
900	D₄×D₆₇	—	4	8	no	—
901	D₄×D₆₇	#41	1	8	yes	complemented
902	C₂²×Dic₆₇	—	4	4	no	—
903	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
904	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
905	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
906	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
907	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
908	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
909	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
910	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
911	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
912	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
913	C₂×C₄×D₆₇	—	2	4	no	—
914	C₂×C₄×D₆₇	—	2	8	no	—
915	C₂×C₄×D₆₇	—	2	4	no	—
916	C₂×C₄×D₆₇	—	4	4	no	—
917	C₂×C₄×D₆₇	—	4	4	no	—
918	C₂×C₄×D₆₇	—	4	4	no	—
919	C₂×C₄×D₆₇	—	4	4	no	—
920	C₂×C₄×D₆₇	—	4	4	no	—
921	C₂×C₄×D₆₇	—	4	4	no	—
922	C₂×C₄×D₆₇	—	4	4	no	—
923	C₂×C₄×D₆₇	—	4	4	no	—
924	C₂×C₄×D₆₇	—	4	8	no	—
925	C₂×C₄×D₆₇	—	4	8	no	—
926	C₂×C₄×D₆₇	—	4	2	no	—
927	C₂×C₄×D₆₇	—	4	4	no	—
928	C₂×C₄×D₆₇	—	4	4	no	—
929	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
930	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
931	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
932	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
933	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
934	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
935	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
936	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
937	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
938	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
939	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
940	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
941	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
942	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
943	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
944	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
945	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
946	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
947	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
948	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
949	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
950	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
951	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
952	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
953	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
954	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
955	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
956	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
957	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
958	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
959	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
960	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
961	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
962	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
963	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
964	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
965	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
966	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
967	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
968	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
969	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
970	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
971	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
972	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
973	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
974	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
975	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
976	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
977	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
978	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
979	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
980	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
981	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
982	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
983	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
984	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
985	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
986	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
987	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
988	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
989	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
990	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
991	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
992	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
993	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
994	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
995	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
996	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
997	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
998	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
999	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
1000	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
1001	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
1002	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1003	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1004	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1005	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1006	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1007	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1008	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1009	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1010	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1011	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1012	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1013	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1014	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1015	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1016	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1017	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1018	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1019	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1020	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1021	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1022	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1023	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1024	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1025	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1026	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1027	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1028	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1029	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1030	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1031	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1032	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1033	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1034	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1035	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1036	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1037	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1038	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1039	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1040	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1041	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1042	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1043	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1044	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1045	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1046	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1047	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1048	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1049	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1050	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1051	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1052	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1053	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1054	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1055	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1056	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1057	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1058	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1059	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1060	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1061	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1062	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1063	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1064	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1065	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1066	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1067	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1068	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1069	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1070	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
1071	#41×C₆₇	—	2	8	no	—
1072	#41×C₆₇	—	2	4	no	—
1073	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
1074	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
1075	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
1076	C₂×D₄×C₆₇	—	2	4	no	—
1077	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1078	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1079	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1080	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1081	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1082	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1083	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1084	C₂²×C₄×C₆₇	—	2	8	no	—
1085	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1086	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1087	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1088	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1089	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1090	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1091	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1092	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1093	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1094	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1095	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1096	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1097	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1098	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1099	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1100	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1101	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1102	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1103	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1104	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1105	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1106	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1107	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1108	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1109	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1110	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1111	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1112	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1113	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1114	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1115	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1116	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1117	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1118	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1119	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1120	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1121	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1122	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1123	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1124	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1125	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1126	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1127	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1128	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1129	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1130	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1131	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1132	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1133	C₄²×C₆₇	C₂⁴	1	2	yes	—
1134	C₄²×C₆₇	C₂⁴	1	4	yes	—
1135	C₄²×C₆₇	C₂⁴	1	4	yes	—
1136	C₄²×C₆₇	C₂⁴	1	4	yes	—
1137	C₄²×C₆₇	C₂⁴	1	2	yes	—
1138	C₄²×C₆₇	C₂⁴	1	2	yes	—
1139	C₂³×C₆₇	—	2	4	no	—
1140	C₂³×C₆₇	—	2	4	no	—
1141	C₂³×C₆₇	—	4	2	no	—
1142	C₂³×C₆₇	C₂⁵	1	2	yes	—
1143	C₂³×C₆₇	C₂⁵	1	2	yes	—
1144	C₂³×C₆₇	C₂⁵	1	2	yes	—
1145	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1146	C₂²×D₆₇	—	2	2	no	—
1147	C₂²×D₆₇	—	2	2	no	—
1148	C₂²×D₆₇	—	2	2	no	—
1149	C₂²×D₆₇	—	2	4	no	—
1150	C₂²×D₆₇	—	2	4	no	—
1151	C₂²×D₆₇	—	2	8	no	—
1152	C₂²×D₆₇	—	2	4	no	—
1153	C₂²×D₆₇	—	2	4	no	—
1154	C₂²×D₆₇	—	2	4	no	—
1155	C₂²×D₆₇	—	2	4	no	—
1156	C₂²×D₆₇	—	2	4	no	—
1157	C₂²×D₆₇	—	2	8	no	—
1158	C₂²×D₆₇	—	4	2	no	—
1159	C₂²×D₆₇	—	4	2	no	—
1160	C₂²×D₆₇	—	4	2	no	—
1161	C₂²×D₆₇	—	4	2	no	—
1162	C₂²×D₆₇	—	4	2	no	—
1163	C₂²×D₆₇	—	4	2	no	—
1164	C₂²×D₆₇	—	4	2	no	—
1165	C₂²×D₆₇	—	4	4	no	—
1166	C₂²×D₆₇	—	4	4	no	—
1167	C₂²×D₆₇	—	4	4	no	—
1168	C₂²×D₆₇	—	4	4	no	—
1169	C₂²×D₆₇	—	4	32	no	—
1170	C₂²×D₆₇	C₂×#41	1	8	yes	complemented
1171	C₂²×D₆₇	C₂⁵	1	2	yes	—
1172	C₂²×D₆₇	C₂⁵	1	4	yes	—
1173	C₂²×D₆₇	C₂⁵	1	2	yes	—
1174	C₂²×D₆₇	C₂⁵	1	2	yes	—
1175	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1176	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1177	Q₈×C₆₇	—	2	4	no	—
1178	Q₈×C₆₇	—	2	2	no	—
1179	Q₈×C₆₇	—	4	2	no	—
1180	D₄×C₆₇	—	2	4	no	—
1181	D₄×C₆₇	—	2	8	no	—
1182	D₄×C₆₇	—	2	4	no	—
1183	D₄×C₆₇	—	2	2	no	—
1184	D₄×C₆₇	—	2	2	no	—
1185	D₄×C₆₇	—	4	4	no	—
1186	D₄×C₆₇	C₂×#41	1	4	yes	complemented
1187	C₂×C₄×C₆₇	—	2	8	no	—
1188	C₂×C₄×C₆₇	—	2	4	no	—
1189	C₂×C₄×C₆₇	—	2	2	no	—
1190	C₂×C₄×C₆₇	—	2	4	no	—
1191	C₂×C₄×C₆₇	—	2	4	no	—
1192	C₂×C₄×C₆₇	—	2	4	no	—
1193	C₂×C₄×C₆₇	—	2	4	no	—
1194	C₂×C₄×C₆₇	—	2	4	no	—
1195	C₂×C₄×C₆₇	—	2	4	no	—
1196	C₂×C₄×C₆₇	—	4	1	no	—
1197	C₂×C₄×C₆₇	—	4	4	no	—
1198	C₂×C₄×C₆₇	—	4	2	no	—
1199	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	complemented
1200	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1201	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1202	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1203	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1204	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1206	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1207	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1208	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1209	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1210	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1211	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1212	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1213	C₂²⋊D₆₇	—	2	4	no	—
1214	C₂²⋊D₆₇	—	2	8	no	—
1215	C₂²⋊D₆₇	—	2	8	no	—
1216	C₂²⋊D₆₇	—	2	4	no	—
1217	C₂²⋊D₆₇	—	2	4	no	—
1218	C₂²⋊D₆₇	—	2	4	no	—
1219	C₂²⋊D₆₇	—	2	4	no	—
1220	C₂²⋊D₆₇	—	2	4	no	—
1221	C₂²⋊D₆₇	—	2	4	no	—
1222	C₂²⋊D₆₇	—	4	4	no	—
1223	C₂²⋊D₆₇	—	4	4	no	—
1224	C₂²⋊D₆₇	—	4	4	no	—
1225	C₂²⋊D₆₇	—	4	4	no	—
1226	C₂²⋊D₆₇	—	4	4	no	—
1227	C₂²⋊D₆₇	—	4	2	no	—
1228	C₂²⋊D₆₇	C₂×#41	1	8	yes	complemented
1229	C₂×Dic₆₇	—	2	2	no	—
1230	C₂×Dic₆₇	—	2	4	no	—
1231	C₂×Dic₆₇	—	2	2	no	—
1232	C₂×Dic₆₇	—	4	2	no	—
1233	C₂×Dic₆₇	—	4	2	no	—
1234	C₂×Dic₆₇	—	4	2	no	—
1235	C₂×Dic₆₇	—	4	2	no	—
1236	C₂×Dic₆₇	—	4	1	no	—
1237	C₂×Dic₆₇	—	4	4	no	—
1238	C₂×Dic₆₇	—	4	4	no	—
1239	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1240	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1241	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1242	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1243	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1244	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1245	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1246	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1247	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1248	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1249	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1250	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1251	D₂₆₈	—	2	4	no	—
1252	D₂₆₈	—	2	8	no	—
1253	D₂₆₈	—	2	8	no	—
1254	D₂₆₈	—	2	8	no	—
1255	D₂₆₈	—	2	4	no	—
1256	D₂₆₈	—	2	8	no	—
1257	D₂₆₈	—	2	4	no	—
1258	D₂₆₈	—	2	2	no	—
1259	D₂₆₈	—	2	4	no	—
1260	D₂₆₈	—	2	4	no	—
1261	D₂₆₈	—	2	2	no	—
1262	D₂₆₈	—	4	4	no	—
1263	D₂₆₈	—	4	4	no	—
1264	D₂₆₈	—	4	4	no	—
1265	D₂₆₈	—	4	4	no	—
1266	D₂₆₈	—	4	2	no	—
1267	D₂₆₈	C₂×#41	1	4	yes	complemented
1268	C₄×D₆₇	—	2	2	no	—
1269	C₄×D₆₇	—	2	8	no	—
1270	C₄×D₆₇	—	2	2	no	—
1271	C₄×D₆₇	—	2	2	no	—
1272	C₄×D₆₇	—	2	2	no	—
1273	C₄×D₆₇	—	2	4	no	—
1274	C₄×D₆₇	—	2	2	no	—
1275	C₄×D₆₇	—	2	2	no	—
1276	C₄×D₆₇	—	2	2	no	—
1277	C₄×D₆₇	—	2	2	no	—
1278	C₄×D₆₇	—	2	4	no	—
1279	C₄×D₆₇	—	2	4	no	—
1280	C₄×D₆₇	—	2	4	no	—
1281	C₄×D₆₇	—	2	4	no	—
1282	C₄×D₆₇	—	2	8	no	—
1283	C₄×D₆₇	—	2	4	no	—
1284	C₄×D₆₇	—	2	2	no	—
1285	C₄×D₆₇	—	2	8	no	—
1286	C₄×D₆₇	—	4	2	no	—
1287	C₄×D₆₇	—	4	2	no	—
1288	C₄×D₆₇	—	4	2	no	—
1289	C₄×D₆₇	—	4	2	no	—
1290	C₄×D₆₇	—	4	2	no	—
1291	C₄×D₆₇	—	4	2	no	—
1292	C₄×D₆₇	—	4	2	no	—
1293	C₄×D₆₇	—	4	2	no	—
1294	C₄×D₆₇	—	4	1	no	—
1295	C₄×D₆₇	—	4	1	no	—
1296	C₄×D₆₇	—	4	4	no	—
1297	C₄×D₆₇	—	4	4	no	—
1298	C₄×D₆₇	—	4	4	no	—
1299	C₄×D₆₇	—	4	4	no	—
1300	C₄×D₆₇	—	4	4	no	—
1301	C₄×D₆₇	—	4	2	no	—
1302	C₄×D₆₇	—	4	4	no	—
1303	C₄×D₆₇	C₂×#41	1	4	yes	complemented
1304	Dic₁₃₄	—	2	4	no	—
1305	Dic₁₃₄	—	2	2	no	—
1306	Dic₁₃₄	—	2	4	no	—
1307	Dic₁₃₄	—	4	4	no	—
1308	Dic₁₃₄	—	4	4	no	—
1309	Dic₁₃₄	—	4	2	no	—
1310	C₂²×C₆₇	—	2	1	no	—
1311	C₂²×C₆₇	—	2	2	no	—
1312	C₂²×C₆₇	—	2	1	no	—
1313	C₂²×C₆₇	—	2	2	no	—
1314	C₂²×C₆₇	—	2	2	no	—
1315	C₂²×C₆₇	—	2	2	no	—
1316	C₂²×C₆₇	—	2	2	no	—
1317	C₂²×C₆₇	—	2	2	no	—
1318	C₂²×C₆₇	—	2	2	no	—
1319	C₂²×C₆₇	—	2	2	no	—
1320	C₂²×C₆₇	—	4	8	no	—
1321	C₂²×C₆₇	C₂²×#41	1	4	yes	—
1322	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1323	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1324	C₂×D₆₇	—	2	8	no	—
1325	C₂×D₆₇	—	2	1	no	—
1326	C₂×D₆₇	—	2	1	no	—
1327	C₂×D₆₇	—	2	1	no	—
1328	C₂×D₆₇	—	2	2	no	—
1329	C₂×D₆₇	—	2	1	no	—
1330	C₂×D₆₇	—	2	2	no	—
1331	C₂×D₆₇	—	2	2	no	—
1332	C₂×D₆₇	—	2	4	no	—
1333	C₂×D₆₇	—	2	2	no	—
1334	C₂×D₆₇	—	2	2	no	—
1335	C₂×D₆₇	—	2	4	no	—
1336	C₂×D₆₇	—	2	2	no	—
1337	C₂×D₆₇	—	2	2	no	—
1338	C₂×D₆₇	—	2	4	no	—
1339	C₂×D₆₇	—	2	2	no	—
1340	C₂×D₆₇	—	4	8	no	—
1341	C₂×D₆₇	—	4	8	no	—
1342	C₂×D₆₇	—	4	8	no	—
1343	C₂×D₆₇	—	4	8	no	—
1344	C₂×D₆₇	—	4	8	no	—
1345	C₂×D₆₇	—	8	8	no	—
1346	C₂×D₆₇	—	8	8	no	—
1347	C₂×D₆₇	C₂²×#41	1	4	yes	—
1348	C₂×D₆₇	C₂²×#41	1	2	yes	—
1349	C₂×D₆₇	#585	1	2	yes	—
1350	C₄×C₆₇	—	2	2	no	—
1351	C₄×C₆₇	—	2	1	no	—
1352	C₄×C₆₇	—	2	4	no	—
1353	C₄×C₆₇	—	2	2	no	—
1354	C₄×C₆₇	—	2	2	no	—
1355	C₄×C₆₇	—	2	2	no	—
1356	C₄×C₆₇	—	2	2	no	—
1357	C₄×C₆₇	—	2	1	no	—
1358	C₄×C₆₇	—	2	1	no	—
1359	C₄×C₆₇	—	2	4	no	—
1360	C₄×C₆₇	C₂²×#41	1	2	yes	—
1361	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1362	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1363	Dic₆₇	—	2	2	no	—
1364	Dic₆₇	—	2	1	no	—
1365	Dic₆₇	—	2	4	no	—
1366	Dic₆₇	—	2	2	no	—
1367	Dic₆₇	—	2	2	no	—
1368	Dic₆₇	—	2	1	no	—
1369	Dic₆₇	—	2	1	no	—
1370	Dic₆₇	—	2	2	no	—
1371	Dic₆₇	—	2	1	no	—
1372	Dic₆₇	—	2	2	no	—
1373	Dic₆₇	—	2	1	no	—
1374	Dic₆₇	C₂²×#41	1	2	yes	—
1375	#62773	—	67	1	no	maximal, Sylow
1376	C₂×C₆₇	—	2	2	no	—
1377	C₂×C₆₇	—	2	4	no	—
1378	C₂×C₆₇	—	4	2	no	—
1379	C₂×C₆₇	—	4	2	no	—
1380	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
1381	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1382	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1383	D₆₇	—	2	2	no	—
1384	D₆₇	—	2	2	no	—
1385	D₆₇	—	2	4	no	—
1386	D₆₇	—	4	2	no	—
1387	D₆₇	—	4	4	no	—
1388	D₆₇	—	4	2	no	—
1389	#3520	—	67	1	no	—
1390	#3520	—	67	2	no	—
1391	#3520	—	67	1	no	—
1392	#3519	—	67	1	no	—
1393	#3519	—	67	1	no	—
1394	#3519	—	67	2	no	—
1395	#3513	—	67	2	no	—
1396	#3513	—	67	4	no	—
1397	#3513	—	67	2	no	—
1398	#3506	—	67	1	no	—
1399	#3506	—	67	1	no	—
1400	#3505	—	67	2	no	—
1401	#3505	—	67	2	no	—
1402	#3501	—	67	1	no	—
1403	#3496	—	67	1	no	—
1404	#3492	—	67	2	no	—
1405	#3490	—	67	4	no	—
1406	#3484	—	67	2	no	—
1407	#3481	—	67	4	no	—
1408	#3481	—	67	2	no	—
1409	#3481	—	67	2	no	—
1410	#3475	—	67	1	no	—
1411	#3475	—	67	2	no	—
1412	#3475	D₆₇	1	1	yes	characteristic, complemented
1413	D₄×#41	—	67	2	no	—
1414	D₄×#41	—	67	1	no	—
1415	D₄×#41	—	67	1	no	—
1416	#3460	—	67	2	no	—
1417	#3459	—	67	4	no	—
1418	#3444	—	67	1	no	—
1419	#3444	—	67	1	no	—
1420	C₂×#525	—	67	2	no	—
1421	C₂×#525	—	67	2	no	—
1422	C₄×H(5,𝔽₂)	—	67	2	no	—
1423	C₂²×C₄×D₄	—	67	1	no	—
1424	C₆₇	#62773	1	1	yes	characteristic, complemented, Sylow
1425	C₂×H(5,𝔽₂)	—	67	2	no	—
1426	C₂²×#41	—	67	2	no	—
1427	C₂²×#41	—	67	2	no	—
1428	C₂³×D₄	—	67	1	no	—
1429	C₂⁴×C₄	—	67	2	no	—
1430	#559	—	67	2	no	—
1431	#559	—	67	4	no	—
1432	#559	—	67	2	no	—
1433	#556	—	67	1	no	—
1434	#556	—	67	2	no	—
1435	#556	C₂×D₆₇	1	1	yes	characteristic, complemented
1436	#555	—	67	1	no	—
1437	#555	—	67	2	no	—
1438	#555	C₂×D₆₇	1	1	yes	characteristic, complemented
1439	#554	—	67	1	no	—
1440	#554	—	67	4	no	—
1441	#554	—	67	2	no	—
1442	#554	—	67	2	no	—
1443	#554	—	67	4	no	—
1444	#554	—	67	2	no	—
1445	#554	—	67	2	no	—
1446	#554	—	67	2	no	—
1447	#554	C₂×D₆₇	1	1	yes	characteristic, complemented
1448	#553	—	67	4	no	—
1449	#553	—	67	4	no	—
1450	#553	—	67	4	no	—
1451	#553	—	67	2	no	—
1452	#553	—	67	2	no	—
1453	#553	—	67	4	no	—
1454	#553	—	67	4	no	—
1455	#553	—	67	2	no	—
1456	#553	—	67	4	no	—
1457	#553	—	67	2	no	—
1458	#553	—	67	2	no	—
1459	#553	—	67	2	no	—
1460	#553	—	67	2	no	—
1461	#553	C₂×D₆₇	1	2	yes	complemented
1462	#552	—	67	2	no	—
1463	#552	—	67	2	no	—
1464	#552	—	67	4	no	—
1465	#552	—	67	2	no	—
1466	#552	—	67	2	no	—
1467	#552	C₂×D₆₇	1	2	yes	complemented
1468	#552	C₂×D₆₇	1	2	yes	complemented
1469	#551	—	67	4	no	—
1470	#551	—	67	4	no	—
1471	#551	—	67	4	no	—
1472	#551	—	67	4	no	—
1473	#551	—	67	4	no	—
1474	#551	—	67	4	no	—
1475	#551	—	67	4	no	—
1476	#551	—	67	4	no	—
1477	#551	—	67	4	no	—
1478	#551	—	67	4	no	—
1479	#551	—	67	4	no	—
1480	#551	C₂×D₆₇	1	4	yes	complemented
1481	#550	—	67	2	no	—
1482	#550	—	67	1	no	—
1483	#550	—	67	1	no	—
1484	D₄×Q₈	—	67	2	no	—
1485	D₄×Q₈	—	67	1	no	—
1486	D₄×Q₈	—	67	1	no	—
1487	#548	—	67	2	no	—
1488	#548	—	67	2	no	—
1489	#548	—	67	2	no	—
1490	#548	—	67	2	no	—
1491	#547	—	67	1	no	—
1492	#547	—	67	4	no	—
1493	#547	—	67	2	no	—
1494	#547	—	67	2	no	—
1495	#547	—	67	1	no	—
1496	#547	—	67	1	no	—
1497	#547	—	67	2	no	—
1498	#547	—	67	2	no	—
1499	#547	C₂×D₆₇	1	1	yes	characteristic, complemented
1500	#546	—	67	2	no	—
1501	#546	—	67	2	no	—
1502	#546	—	67	2	no	—
1503	#546	—	67	4	no	—
1504	#546	—	67	4	no	—
1505	#546	—	67	4	no	—
1506	#546	—	67	4	no	—
1507	#546	—	67	4	no	—
1508	#546	—	67	2	no	—
1509	#546	—	67	2	no	—
1510	#546	—	67	4	no	—
1511	#546	—	67	2	no	—
1512	#546	—	67	2	no	—
1513	#546	—	67	4	no	—
1514	#546	—	67	4	no	—
1515	#546	—	67	2	no	—
1516	#546	—	67	2	no	—
1517	#546	—	67	4	no	—
1518	#546	—	67	4	no	—
1519	#546	—	67	4	no	—
1520	#546	C₂×D₆₇	1	2	yes	complemented
1521	D₄²	—	67	2	no	—
1522	D₄²	—	67	4	no	—
1523	D₄²	—	67	2	no	—
1524	D₄²	—	67	2	no	—
1525	D₄²	—	67	4	no	—
1526	D₄²	—	67	2	no	—
1527	D₄²	—	67	1	no	—
1528	D₄²	—	67	2	no	—
1529	D₄²	—	67	1	no	—
1530	#544	—	67	2	no	—
1531	#543	—	67	4	no	—
1532	#542	—	67	4	no	—
1533	#542	—	67	2	no	—
1534	#542	—	67	2	no	—
1535	#540	—	67	2	no	—
1536	#540	—	67	4	no	—
1537	#540	—	67	2	no	—
1538	#539	—	67	4	no	—
1539	#539	—	67	4	no	—
1540	#539	—	67	4	no	—
1541	#539	—	67	4	no	—
1542	#539	—	67	4	no	—
1543	#539	—	67	4	no	—
1544	#538	—	67	4	no	—
1545	#538	—	67	4	no	—
1546	#538	—	67	4	no	—
1547	#538	—	67	4	no	—
1548	#538	—	67	4	no	—
1549	#538	—	67	4	no	—
1550	#538	—	67	4	no	—
1551	#538	—	67	4	no	—
1552	#537	—	67	2	no	—
1553	#535	—	67	2	no	—
1554	#535	—	67	2	no	—
1555	#534	—	67	4	no	—
1556	#534	—	67	4	no	—
1557	#534	—	67	4	no	—
1558	#533	—	67	1	no	—
1559	#533	—	67	1	no	—
1560	#533	—	67	1	no	—
1561	#533	—	67	1	no	—
1562	#533	—	67	1	no	—
1563	#533	C₂×D₆₇	1	1	yes	characteristic, complemented
1564	#532	—	67	1	no	—
1565	#532	—	67	1	no	—
1566	#532	—	67	1	no	—
1567	#532	—	67	2	no	—
1568	#532	—	67	1	no	—
1569	#532	—	67	1	no	—
1570	#532	—	67	4	no	—
1571	#532	—	67	1	no	—
1572	#532	—	67	2	no	—
1573	#529	—	67	2	no	—
1574	#529	—	67	2	no	—
1575	#529	—	67	2	no	—
1576	#529	—	67	2	no	—
1577	#529	—	67	2	no	—
1578	#529	—	67	2	no	—
1579	#529	—	67	1	no	—
1580	#529	—	67	1	no	—
1581	#529	—	67	4	no	—
1582	#529	—	67	2	no	—
1583	#529	—	67	2	no	—
1584	#529	—	67	2	no	—
1585	#529	—	67	1	no	—
1586	#529	—	67	1	no	—
1587	#529	—	67	2	no	—
1588	#529	—	67	2	no	—
1589	#529	—	67	4	no	—
1590	#529	—	67	4	no	—
1591	#529	—	67	4	no	—
1592	#529	C₂×D₆₇	1	4	yes	complemented
1593	#529	C₂×D₆₇	1	2	yes	complemented
1594	#525	—	67	1	no	—
1595	#525	—	67	2	no	—
1596	#525	—	67	4	no	—
1597	#525	—	67	2	no	—
1598	#525	—	67	2	no	—
1599	#525	—	67	2	no	—
1600	#525	—	67	2	no	—
1601	#525	—	67	2	no	—
1602	#525	—	67	2	no	—
1603	#525	—	67	4	no	—
1604	#525	—	67	2	no	—
1605	#525	—	67	2	no	—
1606	#525	—	67	4	no	—
1607	#525	—	67	4	no	—
1608	#525	—	67	4	no	—
1609	#525	—	67	4	no	—
1610	#525	—	67	4	no	—
1611	#525	—	67	2	no	—
1612	#525	—	67	1	no	—
1613	#525	—	67	2	no	—
1614	#525	—	67	2	no	—
1615	#525	—	67	4	no	—
1616	#525	—	67	4	no	—
1617	#525	—	67	4	no	—
1618	#525	—	67	4	no	—
1619	#525	—	67	2	no	—
1620	#525	—	67	2	no	—
1621	#525	—	67	2	no	—
1622	#525	—	67	2	no	—
1623	#525	—	67	4	no	—
1624	#525	C₂×D₆₇	1	2	yes	complemented
1625	C₂×#123	—	67	4	no	—
1626	C₂×#123	—	67	4	no	—
1627	C₂×C₂²⋊Q₈	—	67	2	no	—
1628	C₂×C₂²⋊Q₈	—	67	2	no	—
1629	C₂×C₂²⋊Q₈	—	67	2	no	—
1630	C₂×C₂²⋊Q₈	—	67	2	no	—
1631	C₂×#121	—	67	2	no	—
1632	C₂×#121	—	67	2	no	—
1633	C₂×#121	—	67	2	no	—
1634	C₂×#121	—	67	2	no	—
1635	C₂×#120	—	67	4	no	—
1636	C₂×#120	—	67	4	no	—
1637	#520	—	67	2	no	—
1638	#520	—	67	2	no	—
1639	#520	—	67	2	no	—
1640	#520	—	67	2	no	—
1641	#520	—	67	4	no	—
1642	#518	—	67	2	no	—
1643	#518	—	67	2	no	—
1644	#518	—	67	4	no	—
1645	#518	—	67	4	no	—
1646	#518	—	67	4	no	—
1647	#518	—	67	2	no	—
1648	C₄×#41	—	67	2	no	—
1649	C₄×#41	—	67	2	no	—
1650	C₄×#41	—	67	2	no	—
1651	C₄×#41	—	67	2	no	—
1652	C₄×#41	—	67	1	no	—
1653	C₄×#41	—	67	2	no	—
1654	C₄×#41	—	67	4	no	—
1655	C₄×#41	—	67	2	no	—
1656	C₄×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
1657	C₄×#41	C₂×D₆₇	1	2	yes	complemented
1658	C₂×C₄×D₄	—	67	1	no	—
1659	C₂×C₄×D₄	—	67	2	no	—
1660	C₂×C₄×D₄	—	67	1	no	—
1661	C₂×C₄×D₄	—	67	1	no	—
1662	C₂×C₄×D₄	—	67	2	no	—
1663	C₂×C₄×D₄	—	67	1	no	—
1664	C₂×C₄×D₄	—	67	1	no	—
1665	C₂×C₄×D₄	—	67	2	no	—
1666	C₂×C₄×D₄	—	67	1	no	—
1667	C₂×C₄×D₄	—	67	2	no	—
1668	C₂×C₄×D₄	—	67	1	no	—
1669	C₂×C₄×D₄	—	67	1	no	—
1670	C₂×C₄×D₄	—	67	2	no	—
1671	C₂×C₄×D₄	—	67	1	no	—
1672	C₂×C₄×D₄	—	67	2	no	—
1673	C₂×C₄×D₄	—	67	4	no	—
1674	C₂×C₄×D₄	—	67	4	no	—
1675	C₂×C₄×D₄	—	67	4	no	—
1676	C₂×C₄×D₄	—	67	1	no	—
1677	C₂×C₄×D₄	—	67	2	no	—
1678	C₂×C₄×D₄	—	67	1	no	—
1679	C₂×C₄×D₄	—	67	4	no	—
1680	C₂×C₄×D₄	—	67	2	no	—
1681	C₂×C₄×D₄	—	67	4	no	—
1682	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1683	C₂×#117	—	67	2	no	—
1684	C₂×#117	C₂×D₆₇	1	2	yes	complemented
1685	C₂²×C₄⋊C₄	—	67	1	no	—
1686	C₂²×C₂²⋊C₄	—	67	2	no	—
1687	C₂²×C₄²	—	67	1	no	—
1688	C₂⁵	—	67	2	no	—
1689	H(5,𝔽₂)	—	134	16	no	—
1690	C₂×#41	—	268	8	no	—
1691	C₂×#41	—	268	8	no	—
1692	C₂×#41	—	67	2	no	—
1693	C₂×#41	—	67	2	no	—
1694	C₂×#41	—	67	2	no	—
1695	C₂×#41	—	67	2	no	—
1696	C₂×#41	—	67	4	no	—
1697	C₂×#41	—	67	2	no	—
1698	C₂×#41	—	67	2	no	—
1699	C₂×#41	—	67	4	no	—
1700	C₂×#41	—	67	4	no	—
1701	C₂×#41	—	67	4	no	—
1702	C₂×#41	—	67	2	no	—
1703	C₂×#41	—	67	2	no	—
1704	C₂×#41	—	67	2	no	—
1705	C₂×#41	—	67	4	no	—
1706	C₂×#41	—	67	2	no	—
1707	C₂×#41	—	67	1	no	—
1708	C₂×#41	C₂²×D₆₇	1	2	yes	—
1709	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1710	C₂²×Q₈	—	67	2	no	—
1711	C₂²×Q₈	—	67	2	no	—
1712	C₂²×D₄	—	67	4	no	—
1713	C₂²×D₄	—	67	4	no	—
1714	C₂²×D₄	—	67	4	no	—
1715	C₂²×D₄	—	67	2	no	—
1716	C₂²×D₄	—	67	1	no	—
1717	C₂²×D₄	—	67	2	no	—
1718	C₂²×D₄	—	67	2	no	—
1719	C₂²×D₄	—	67	1	no	—
1720	C₂²×D₄	—	67	2	no	—
1721	C₂²×D₄	—	67	1	no	—
1722	C₂²×D₄	—	67	1	no	—
1723	C₂²×D₄	—	67	4	no	—
1724	C₂²×D₄	—	67	4	no	—
1725	C₂²×D₄	—	67	2	no	—
1726	C₂²×D₄	—	67	4	no	—
1727	C₂²×D₄	—	67	2	no	—
1728	C₂²×D₄	—	67	1	no	—
1729	C₂²×D₄	—	67	4	no	—
1730	C₂²×D₄	—	67	2	no	—
1731	C₂²×D₄	—	134	8	no	—
1732	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1733	C₂³×C₄	—	268	8	no	—
1734	C₂³×C₄	—	67	2	no	—
1735	C₂³×C₄	—	67	1	no	—
1736	C₂³×C₄	—	67	2	no	—
1737	C₂³×C₄	—	67	2	no	—
1738	C₂³×C₄	—	67	2	no	—
1739	C₂³×C₄	—	67	2	no	—
1740	C₂³×C₄	—	67	4	no	—
1741	C₂³×C₄	—	67	4	no	—
1742	C₂³×C₄	—	67	2	no	—
1743	C₂³×C₄	—	67	2	no	—
1744	C₂³×C₄	—	67	2	no	—
1745	C₂³×C₄	—	67	2	no	—
1746	C₂³×C₄	—	67	2	no	—
1747	C₂³×C₄	—	67	2	no	—
1748	C₂³×C₄	—	67	1	no	—
1749	C₂³×C₄	—	67	2	no	—
1750	C₂³×C₄	—	67	1	no	—
1751	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
1752	C₄⋊Q₈	—	67	1	no	—
1753	C₄⋊Q₈	—	67	1	no	—
1754	C₄⋊Q₈	—	67	1	no	—
1755	C₄⋊Q₈	—	67	4	no	—
1756	C₄⋊Q₈	—	67	2	no	—
1757	C₄⋊Q₈	—	67	1	no	—
1758	C₄⋊Q₈	—	67	2	no	—
1759	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1760	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1761	#127	—	67	1	no	—
1762	#127	—	67	2	no	—
1763	#127	—	67	4	no	—
1764	#127	—	67	1	no	—
1765	#127	—	67	2	no	—
1766	#126	—	67	2	no	—
1767	#126	—	67	4	no	—
1768	#126	—	67	2	no	—
1769	#126	—	67	4	no	—
1770	#126	—	67	4	no	—
1771	#126	—	67	4	no	—
1772	#126	—	67	4	no	—
1773	#126	—	67	4	no	—
1774	#126	—	67	4	no	—
1775	#126	—	67	2	no	—
1776	#126	—	67	2	no	—
1777	#126	—	67	4	no	—
1778	#126	—	67	4	no	—
1779	#126	—	67	4	no	—
1780	#126	—	67	4	no	—
1781	#126	C₂²×D₆₇	1	4	yes	complemented
1782	#126	C₂²×D₆₇	1	4	yes	complemented
1783	#126	C₂²×D₆₇	1	4	yes	complemented
1784	#125	—	67	2	no	—
1785	#125	—	67	2	no	—
1786	#125	—	67	1	no	—
1787	#125	—	67	1	no	—
1788	#125	—	67	2	no	—
1789	#125	—	67	2	no	—
1790	#125	—	67	4	no	—
1791	#125	—	67	4	no	—
1792	#125	—	67	4	no	—
1793	#125	—	67	2	no	—
1794	#125	—	67	4	no	—
1795	#125	C₂²×D₆₇	1	2	yes	complemented
1796	#125	C₂²×D₆₇	1	4	yes	complemented
1797	#125	C₂²×D₆₇	1	2	yes	complemented
1798	#124	—	67	2	no	—
1799	#124	—	67	1	no	—
1800	#124	—	67	2	no	—
1801	#124	—	67	2	no	—
1802	#124	—	67	4	no	—
1803	#124	—	67	1	no	—
1804	#124	—	67	2	no	—
1805	#124	—	67	2	no	—
1806	#124	—	67	4	no	—
1807	#124	—	67	4	no	—
1808	#124	—	67	4	no	—
1809	#124	—	67	4	no	—
1810	#124	—	67	4	no	—
1811	#124	—	67	2	no	—
1812	#124	—	67	4	no	—
1813	#124	—	67	4	no	—
1814	#124	C₂²×D₆₇	1	2	yes	—
1815	#124	C₂²×D₆₇	1	4	yes	complemented
1816	#123	—	67	2	no	—
1817	#123	—	67	4	no	—
1818	#123	—	67	4	no	—
1819	#123	—	67	4	no	—
1820	#123	—	67	4	no	—
1821	#123	—	67	4	no	—
1822	#123	—	67	4	no	—
1823	#123	—	67	2	no	—
1824	#123	—	67	2	no	—
1825	#123	—	67	4	no	—
1826	#123	—	67	4	no	—
1827	#123	—	67	4	no	—
1828	#123	—	67	4	no	—
1829	#123	—	67	4	no	—
1830	#123	—	67	4	no	—
1831	#123	—	67	4	no	—
1832	#123	—	67	4	no	—
1833	#123	—	67	4	no	—
1834	#123	—	67	4	no	—
1835	#123	—	67	2	no	—
1836	#123	—	67	4	no	—
1837	#123	—	67	4	no	—
1838	#123	—	67	4	no	—
1839	#123	—	67	4	no	—
1840	#123	—	67	4	no	—
1841	#123	—	67	4	no	—
1842	#123	—	67	4	no	—
1843	#123	—	67	4	no	—
1844	#123	—	67	2	no	—
1845	#123	—	67	2	no	—
1846	#123	—	67	4	no	—
1847	#123	—	67	4	no	—
1848	#123	—	67	4	no	—
1849	#123	—	67	4	no	—
1850	#123	—	67	4	no	—
1851	#123	—	67	4	no	—
1852	#123	—	67	4	no	—
1853	#123	C₂²×D₆₇	1	4	yes	—
1854	#123	C₂²×D₆₇	1	4	yes	—
1855	#123	C₂²×D₆₇	1	4	yes	complemented
1856	#123	C₂²×D₆₇	1	4	yes	complemented
1857	C₂²⋊Q₈	—	67	1	no	—
1858	C₂²⋊Q₈	—	67	1	no	—
1859	C₂²⋊Q₈	—	67	2	no	—
1860	C₂²⋊Q₈	—	67	2	no	—
1861	C₂²⋊Q₈	—	67	2	no	—
1862	C₂²⋊Q₈	—	67	4	no	—
1863	C₂²⋊Q₈	—	67	2	no	—
1864	C₂²⋊Q₈	—	67	2	no	—
1865	C₂²⋊Q₈	—	67	4	no	—
1866	C₂²⋊Q₈	—	67	2	no	—
1867	C₂²⋊Q₈	—	67	2	no	—
1868	C₂²⋊Q₈	—	67	1	no	—
1869	C₂²⋊Q₈	—	67	1	no	—
1870	C₂²⋊Q₈	—	67	4	no	—
1871	C₂²⋊Q₈	—	67	4	no	—
1872	C₂²⋊Q₈	—	67	4	no	—
1873	C₂²⋊Q₈	—	67	2	no	—
1874	C₂²⋊Q₈	—	67	2	no	—
1875	C₂²⋊Q₈	—	67	2	no	—
1876	C₂²⋊Q₈	—	67	2	no	—
1877	C₂²⋊Q₈	—	67	4	no	—
1878	C₂²⋊Q₈	—	67	4	no	—
1879	C₂²⋊Q₈	—	67	4	no	—
1880	C₂²⋊Q₈	—	67	2	no	—
1881	C₂²⋊Q₈	—	67	2	no	—
1882	C₂²⋊Q₈	—	67	4	no	—
1883	C₂²⋊Q₈	—	67	4	no	—
1884	C₂²⋊Q₈	—	67	4	no	—
1885	C₂²⋊Q₈	—	67	4	no	—
1886	C₂²⋊Q₈	—	67	4	no	—
1887	C₂²⋊Q₈	—	67	4	no	—
1888	C₂²⋊Q₈	—	67	4	no	—
1889	C₂²⋊Q₈	—	67	4	no	—
1890	C₂²⋊Q₈	—	67	4	no	—
1891	C₂²⋊Q₈	—	67	2	no	—
1892	C₂²⋊Q₈	—	67	2	no	—
1893	C₂²⋊Q₈	—	67	4	no	—
1894	C₂²⋊Q₈	—	67	4	no	—
1895	C₂²⋊Q₈	—	67	4	no	—
1896	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1897	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1898	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1899	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1900	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1901	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1902	#121	—	67	1	no	—
1903	#121	—	67	1	no	—
1904	#121	—	67	4	no	—
1905	#121	—	67	4	no	—
1906	#121	—	67	2	no	—
1907	#121	—	67	2	no	—
1908	#121	—	67	4	no	—
1909	#121	—	67	4	no	—
1910	#121	—	67	4	no	—
1911	#121	—	67	2	no	—
1912	#121	—	67	4	no	—
1913	#121	—	67	2	no	—
1914	#121	—	67	2	no	—
1915	#121	—	67	2	no	—
1916	#121	—	67	2	no	—
1917	#121	—	67	4	no	—
1918	#121	—	67	2	no	—
1919	#121	—	67	2	no	—
1920	#121	—	67	4	no	—
1921	#121	—	67	2	no	—
1922	#121	—	67	2	no	—
1923	#121	—	67	1	no	—
1924	#121	—	67	1	no	—
1925	#121	—	67	4	no	—
1926	#121	—	67	4	no	—
1927	#121	—	67	2	no	—
1928	#121	—	67	2	no	—
1929	#121	—	67	4	no	—
1930	#121	—	67	4	no	—
1931	#121	—	67	2	no	—
1932	#121	—	67	2	no	—
1933	#121	—	67	2	no	—
1934	#121	—	67	2	no	—
1935	#121	—	67	4	no	—
1936	#121	—	67	4	no	—
1937	#121	—	67	4	no	—
1938	#121	—	67	2	no	—
1939	#121	—	67	2	no	—
1940	#121	—	67	4	no	—
1941	#121	—	67	4	no	—
1942	#121	—	67	4	no	—
1943	#121	—	67	2	no	—
1944	#121	—	67	2	no	—
1945	#121	—	67	4	no	—
1946	#121	—	67	4	no	—
1947	#121	—	67	4	no	—
1948	#121	—	67	4	no	—
1949	#121	—	67	4	no	—
1950	#121	—	67	4	no	—
1951	#121	—	67	4	no	—
1952	#121	—	67	4	no	—
1953	#121	C₂²×D₆₇	1	4	yes	—
1954	#121	C₂²×D₆₇	1	2	yes	—
1955	#121	C₂²×D₆₇	1	2	yes	complemented
1956	#121	C₂²×D₆₇	1	2	yes	complemented
1957	#120	—	67	4	no	—
1958	#120	—	67	2	no	—
1959	#120	—	67	4	no	—
1960	#120	—	67	4	no	—
1961	#120	—	67	4	no	—
1962	#120	—	67	4	no	—
1963	#120	—	67	4	no	—
1964	#120	—	67	4	no	—
1965	#120	—	67	2	no	—
1966	#120	—	67	4	no	—
1967	#120	—	67	4	no	—
1968	#120	—	67	4	no	—
1969	#120	—	67	4	no	—
1970	#120	—	67	4	no	—
1971	#120	—	67	4	no	—
1972	#120	—	67	4	no	—
1973	#120	—	67	4	no	—
1974	#120	—	67	4	no	—
1975	#120	—	67	4	no	—
1976	#120	—	67	4	no	—
1977	#120	—	67	4	no	—
1978	#120	—	67	4	no	—
1979	#120	C₂²×D₆₇	1	4	yes	—
1980	C₄×Q₈	—	67	2	no	—
1981	C₄×Q₈	—	67	2	no	—
1982	C₄×Q₈	—	67	2	no	—
1983	C₄×Q₈	—	67	2	no	—
1984	C₄×Q₈	—	67	2	no	—
1985	C₄×Q₈	—	67	2	no	—
1986	C₄×Q₈	—	67	2	no	—
1987	C₄×Q₈	—	67	4	no	—
1988	C₄×Q₈	—	67	2	no	—
1989	C₄×Q₈	—	67	1	no	—
1990	C₄×Q₈	—	67	1	no	—
1991	C₄×Q₈	—	67	2	no	—
1992	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1993	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1994	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1995	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1996	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1997	C₄×D₄	—	67	1	no	—
1998	C₄×D₄	—	67	2	no	—
1999	C₄×D₄	—	67	1	no	—
2000	C₄×D₄	—	67	1	no	—
2001	C₄×D₄	—	67	2	no	—
2002	C₄×D₄	—	67	1	no	—
2003	C₄×D₄	—	67	4	no	—
2004	C₄×D₄	—	67	2	no	—
2005	C₄×D₄	—	67	4	no	—
2006	C₄×D₄	—	67	4	no	—
2007	C₄×D₄	—	67	2	no	—
2008	C₄×D₄	—	67	2	no	—
2009	C₄×D₄	—	67	2	no	—
2010	C₄×D₄	—	67	2	no	—
2011	C₄×D₄	—	67	2	no	—
2012	C₄×D₄	—	67	2	no	—
2013	C₄×D₄	—	67	2	no	—
2014	C₄×D₄	—	67	2	no	—
2015	C₄×D₄	—	67	2	no	—
2016	C₄×D₄	—	67	2	no	—
2017	C₄×D₄	—	67	4	no	—
2018	C₄×D₄	—	67	2	no	—
2019	C₄×D₄	—	67	4	no	—
2020	C₄×D₄	—	67	2	no	—
2021	C₄×D₄	—	67	2	no	—
2022	C₄×D₄	—	67	4	no	—
2023	C₄×D₄	—	67	4	no	—
2024	C₄×D₄	—	67	2	no	—
2025	C₄×D₄	—	67	2	no	—
2026	C₄×D₄	—	67	2	no	—
2027	C₄×D₄	—	67	2	no	—
2028	C₄×D₄	—	67	2	no	—
2029	C₄×D₄	—	67	1	no	—
2030	C₄×D₄	—	67	2	no	—
2031	C₄×D₄	—	67	1	no	—
2032	C₄×D₄	—	67	1	no	—
2033	C₄×D₄	—	67	2	no	—
2034	C₄×D₄	—	67	1	no	—
2035	C₄×D₄	—	67	4	no	—
2036	C₄×D₄	—	67	4	no	—
2037	C₄×D₄	—	67	2	no	—
2038	C₄×D₄	—	67	4	no	—
2039	C₄×D₄	—	67	4	no	—
2040	C₄×D₄	—	67	2	no	—
2041	C₄×D₄	—	67	2	no	—
2042	C₄×D₄	—	67	4	no	—
2043	C₄×D₄	—	67	4	no	—
2044	C₄×D₄	—	67	2	no	—
2045	C₄×D₄	—	67	2	no	—
2046	C₄×D₄	—	67	2	no	—
2047	C₄×D₄	—	67	2	no	—
2048	C₄×D₄	—	67	2	no	—
2049	C₄×D₄	—	67	2	no	—
2050	C₄×D₄	—	67	2	no	—
2051	C₄×D₄	—	67	2	no	—
2052	C₄×D₄	—	67	2	no	—
2053	C₄×D₄	—	67	2	no	—
2054	C₄×D₄	—	67	2	no	—
2055	C₄×D₄	—	67	4	no	—
2056	C₄×D₄	—	67	4	no	—
2057	C₄×D₄	—	67	4	no	—
2058	C₄×D₄	—	67	4	no	—
2059	C₄×D₄	—	67	4	no	—
2060	C₄×D₄	—	67	4	no	—
2061	C₄×D₄	—	67	4	no	—
2062	C₄×D₄	—	67	4	no	—
2063	C₄×D₄	—	67	4	no	—
2064	C₄×D₄	—	67	1	no	—
2065	C₄×D₄	—	67	2	no	—
2066	C₄×D₄	—	67	1	no	—
2067	C₄×D₄	—	67	1	no	—
2068	C₄×D₄	—	67	2	no	—
2069	C₄×D₄	—	67	1	no	—
2070	C₄×D₄	—	67	4	no	—
2071	C₄×D₄	—	67	4	no	—
2072	C₄×D₄	—	67	2	no	—
2073	C₄×D₄	—	67	2	no	—
2074	C₄×D₄	—	67	4	no	—
2075	C₄×D₄	—	67	4	no	—
2076	C₄×D₄	—	67	2	no	—
2077	C₄×D₄	—	67	4	no	—
2078	C₄×D₄	—	67	4	no	—
2079	C₄×D₄	—	67	4	no	—
2080	C₄×D₄	—	67	4	no	—
2081	C₄×D₄	—	67	2	no	—
2082	C₄×D₄	—	67	4	no	—
2083	C₄×D₄	—	67	2	no	—
2084	C₄×D₄	—	67	4	no	—
2085	C₄×D₄	—	67	4	no	—
2086	C₄×D₄	—	67	4	no	—
2087	C₄×D₄	—	67	4	no	—
2088	C₄×D₄	—	67	4	no	—
2089	C₄×D₄	—	67	4	no	—
2090	C₄×D₄	—	67	2	no	—
2091	C₄×D₄	—	67	4	no	—
2092	C₄×D₄	—	67	2	no	—
2093	C₄×D₄	—	67	2	no	—
2094	C₄×D₄	—	67	1	no	—
2095	C₄×D₄	—	67	1	no	—
2096	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2097	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2098	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2099	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2100	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2101	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2102	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2103	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2104	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2105	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2106	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2107	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2108	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2109	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2110	#117	—	67	1	no	—
2111	#117	—	67	2	no	—
2112	#117	—	67	4	no	—
2113	#117	—	67	2	no	—
2114	#117	—	67	2	no	—
2115	#117	—	67	2	no	—
2116	#117	—	67	2	no	—
2117	#117	—	67	4	no	—
2118	#117	—	67	4	no	—
2119	#117	—	67	2	no	—
2120	#117	—	67	2	no	—
2121	#117	—	67	4	no	—
2122	#117	—	67	4	no	—
2123	#117	—	67	4	no	—
2124	#117	—	67	2	no	—
2125	#117	—	67	2	no	—
2126	#117	—	67	4	no	—
2127	#117	—	67	4	no	—
2128	#117	—	67	2	no	—
2129	#117	—	67	4	no	—
2130	#117	—	67	2	no	—
2131	#117	—	67	2	no	—
2132	#117	C₂²×D₆₇	1	2	yes	—
2133	#117	C₂²×D₆₇	1	1	yes	characteristic
2134	#117	C₂²×D₆₇	1	4	yes	—
2135	#117	C₂²×D₆₇	1	4	yes	complemented
2136	#117	C₂²×D₆₇	1	2	yes	complemented
2137	#117	C₂²×D₆₇	1	2	yes	complemented
2138	#117	C₂²×D₆₇	1	4	yes	complemented
2139	#117	C₂²×D₆₇	1	2	yes	complemented
2140	#117	C₂²×D₆₇	1	2	yes	complemented
2141	C₂×C₄⋊C₄	—	67	2	no	—
2142	C₂×C₄⋊C₄	—	67	1	no	—
2143	C₂×C₄⋊C₄	—	67	4	no	—
2144	C₂×C₄⋊C₄	—	67	2	no	—
2145	C₂×C₄⋊C₄	—	67	4	no	—
2146	C₂×C₄⋊C₄	—	67	1	no	—
2147	C₂×C₄⋊C₄	—	67	1	no	—
2148	C₂×C₄⋊C₄	—	67	2	no	—
2149	C₂×C₄⋊C₄	—	67	2	no	—
2150	C₂×C₄⋊C₄	—	67	1	no	—
2151	C₂×C₄⋊C₄	—	67	1	no	—
2152	C₂×C₄⋊C₄	—	67	2	no	—
2153	C₂×C₄⋊C₄	—	67	2	no	—
2154	C₂×C₄⋊C₄	—	67	4	no	—
2155	C₂×C₄⋊C₄	—	67	4	no	—
2156	C₂×C₄⋊C₄	—	67	2	no	—
2157	C₂×C₄⋊C₄	—	67	4	no	—
2158	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2159	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2160	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2161	C₂×C₂²⋊C₄	—	67	2	no	—
2162	C₂×C₂²⋊C₄	—	67	2	no	—
2163	C₂×C₂²⋊C₄	—	67	2	no	—
2164	C₂×C₂²⋊C₄	—	67	4	no	—
2165	C₂×C₂²⋊C₄	—	67	4	no	—
2166	C₂×C₂²⋊C₄	—	67	4	no	—
2167	C₂×C₂²⋊C₄	—	67	4	no	—
2168	C₂×C₂²⋊C₄	—	67	4	no	—
2169	C₂×C₂²⋊C₄	—	67	2	no	—
2170	C₂×C₂²⋊C₄	—	67	2	no	—
2171	C₂×C₂²⋊C₄	—	67	2	no	—
2172	C₂×C₂²⋊C₄	—	67	2	no	—
2173	C₂×C₂²⋊C₄	—	67	2	no	—
2174	C₂×C₂²⋊C₄	—	67	2	no	—
2175	C₂×C₂²⋊C₄	—	67	2	no	—
2176	C₂×C₂²⋊C₄	—	67	2	no	—
2177	C₂×C₂²⋊C₄	—	67	4	no	—
2178	C₂×C₂²⋊C₄	—	67	4	no	—
2179	C₂×C₂²⋊C₄	—	67	4	no	—
2180	C₂×C₂²⋊C₄	—	67	4	no	—
2181	C₂×C₂²⋊C₄	—	67	4	no	—
2182	C₂×C₂²⋊C₄	—	67	4	no	—
2183	C₂×C₂²⋊C₄	—	67	4	no	—
2184	C₂×C₂²⋊C₄	—	67	4	no	—
2185	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2186	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
2187	C₂×C₄²	—	67	1	no	—
2188	C₂×C₄²	—	67	1	no	—
2189	C₂×C₄²	—	67	1	no	—
2190	C₂×C₄²	—	67	4	no	—
2191	C₂×C₄²	—	67	1	no	—
2192	C₂×C₄²	—	67	1	no	—
2193	C₂×C₄²	—	67	1	no	—
2194	C₂×C₄²	—	67	1	no	—
2195	C₂×C₄²	—	67	1	no	—
2196	C₂×C₄²	—	67	1	no	—
2197	C₂×C₄²	—	67	1	no	—
2198	C₂×C₄²	—	67	1	no	—
2199	C₂×C₄²	—	67	4	no	—
2200	C₂×C₄²	—	67	2	no	—
2201	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
2202	C₂×C₄²	C₂²×D₆₇	1	4	yes	complemented
2203	C₂×C₄²	C₂²×D₆₇	1	2	yes	complemented
2204	C₂⁴	—	268	4	no	—
2205	C₂⁴	—	268	4	no	—
2206	C₂⁴	—	67	2	no	—
2207	C₂⁴	—	67	4	no	—
2208	C₂⁴	—	67	4	no	—
2209	C₂⁴	—	67	2	no	—
2210	C₂⁴	—	67	2	no	—
2211	C₂⁴	—	67	2	no	—
2212	C₂⁴	—	67	2	no	—
2213	C₂⁴	—	67	1	no	—
2214	C₂⁴	—	134	8	no	—
2215	C₂⁴	C₂³×D₆₇	1	2	yes	—
2216	#41	—	2	8	no	—
2217	#41	—	2	4	no	—
2218	#41	—	268	4	no	—
2219	#41	—	268	4	no	—
2220	#41	—	268	8	no	—
2221	#41	—	268	8	no	—
2222	#41	—	268	8	no	—
2223	#41	—	268	4	no	—
2224	#41	—	268	4	no	—
2225	#41	—	268	8	no	—
2226	#41	—	268	4	no	—
2227	#41	—	268	4	no	—
2228	#41	—	134	8	no	—
2229	#41	—	134	16	no	—
2230	#41	—	134	8	no	—
2231	#41	—	134	8	no	—
2232	#41	—	134	4	no	—
2233	#41	—	134	8	no	—
2234	C₂×Q₈	—	268	4	no	—
2235	C₂×Q₈	—	268	4	no	—
2236	C₂×Q₈	—	67	2	no	—
2237	C₂×Q₈	—	67	4	no	—
2238	C₂×Q₈	—	67	4	no	—
2239	C₂×Q₈	—	67	2	no	—
2240	C₂×Q₈	—	67	2	no	—
2241	C₂×Q₈	—	67	1	no	—
2242	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2243	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2244	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2245	C₂×D₄	—	2	4	no	—
2246	C₂×D₄	—	268	4	no	—
2247	C₂×D₄	—	268	8	no	—
2248	C₂×D₄	—	268	8	no	—
2249	C₂×D₄	—	268	8	no	—
2250	C₂×D₄	—	268	8	no	—
2251	C₂×D₄	—	268	4	no	—
2252	C₂×D₄	—	67	2	no	—
2253	C₂×D₄	—	67	4	no	—
2254	C₂×D₄	—	67	4	no	—
2255	C₂×D₄	—	67	4	no	—
2256	C₂×D₄	—	67	4	no	—
2257	C₂×D₄	—	67	4	no	—
2258	C₂×D₄	—	67	2	no	—
2259	C₂×D₄	—	67	8	no	—
2260	C₂×D₄	—	67	2	no	—
2261	C₂×D₄	—	67	2	no	—
2262	C₂×D₄	—	67	4	no	—
2263	C₂×D₄	—	67	2	no	—
2264	C₂×D₄	—	67	2	no	—
2265	C₂×D₄	—	67	2	no	—
2266	C₂×D₄	—	67	2	no	—
2267	C₂×D₄	—	67	2	no	—
2268	C₂×D₄	—	67	4	no	—
2269	C₂×D₄	—	67	2	no	—
2270	C₂×D₄	—	67	4	no	—
2271	C₂×D₄	—	67	4	no	—
2272	C₂×D₄	—	67	4	no	—
2273	C₂×D₄	—	67	4	no	—
2274	C₂×D₄	—	67	1	no	—
2275	C₂×D₄	—	67	4	no	—
2276	C₂×D₄	—	67	4	no	—
2277	C₂×D₄	—	67	4	no	—
2278	C₂×D₄	—	67	2	no	—
2279	C₂×D₄	—	67	2	no	—
2280	C₂×D₄	—	67	4	no	—
2281	C₂×D₄	—	67	2	no	—
2282	C₂×D₄	—	67	1	no	—
2283	C₂×D₄	—	67	2	no	—
2284	C₂×D₄	—	67	2	no	—
2285	C₂×D₄	—	67	1	no	—
2286	C₂×D₄	—	134	4	no	—
2287	C₂×D₄	—	134	8	no	—
2288	C₂×D₄	—	134	16	no	—
2289	C₂×D₄	—	134	4	no	—
2290	C₂×D₄	—	134	8	no	—
2291	C₂×D₄	—	134	4	no	—
2292	C₂×D₄	—	134	16	no	—
2293	C₂×D₄	—	134	8	no	—
2294	C₂×D₄	—	134	16	no	—
2295	C₂×D₄	—	134	8	no	—
2296	C₂×D₄	—	134	4	no	—
2297	C₂×D₄	—	134	8	no	—
2298	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2299	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2300	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2301	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2302	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2303	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2304	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2305	C₂²×C₄	—	2	8	no	—
2306	C₂²×C₄	—	268	4	no	—
2307	C₂²×C₄	—	268	4	no	—
2308	C₂²×C₄	—	268	4	no	—
2309	C₂²×C₄	—	268	4	no	—
2310	C₂²×C₄	—	268	4	no	—
2311	C₂²×C₄	—	268	4	no	—
2312	C₂²×C₄	—	268	4	no	—
2313	C₂²×C₄	—	268	4	no	—
2314	C₂²×C₄	—	268	4	no	—
2315	C₂²×C₄	—	268	4	no	—
2316	C₂²×C₄	—	268	8	no	—
2317	C₂²×C₄	—	268	8	no	—
2318	C₂²×C₄	—	268	2	no	—
2319	C₂²×C₄	—	268	4	no	—
2320	C₂²×C₄	—	67	1	no	—
2321	C₂²×C₄	—	67	2	no	—
2322	C₂²×C₄	—	67	2	no	—
2323	C₂²×C₄	—	67	4	no	—
2324	C₂²×C₄	—	67	4	no	—
2325	C₂²×C₄	—	67	2	no	—
2326	C₂²×C₄	—	67	2	no	—
2327	C₂²×C₄	—	67	1	no	—
2328	C₂²×C₄	—	67	1	no	—
2329	C₂²×C₄	—	67	4	no	—
2330	C₂²×C₄	—	67	4	no	—
2331	C₂²×C₄	—	67	2	no	—
2332	C₂²×C₄	—	67	2	no	—
2333	C₂²×C₄	—	67	2	no	—
2334	C₂²×C₄	—	67	2	no	—
2335	C₂²×C₄	—	67	2	no	—
2336	C₂²×C₄	—	67	2	no	—
2337	C₂²×C₄	—	67	4	no	—
2338	C₂²×C₄	—	67	2	no	—
2339	C₂²×C₄	—	67	4	no	—
2340	C₂²×C₄	—	67	4	no	—
2341	C₂²×C₄	—	67	4	no	—
2342	C₂²×C₄	—	67	2	no	—
2343	C₂²×C₄	—	67	2	no	—
2344	C₂²×C₄	—	67	1	no	—
2345	C₂²×C₄	—	67	1	no	—
2346	C₂²×C₄	—	67	1	no	—
2347	C₂²×C₄	—	67	2	no	—
2348	C₂²×C₄	—	67	1	no	—
2349	C₂²×C₄	—	67	1	no	—
2350	C₂²×C₄	—	67	1	no	—
2351	C₂²×C₄	—	67	1	no	—
2352	C₂²×C₄	—	67	1	no	—
2353	C₂²×C₄	—	67	1	no	—
2354	C₂²×C₄	—	67	1	no	—
2355	C₂²×C₄	—	67	4	no	—
2356	C₂²×C₄	—	67	4	no	—
2357	C₂²×C₄	—	67	2	no	—
2358	C₂²×C₄	—	67	2	no	—
2359	C₂²×C₄	—	67	2	no	—
2360	C₂²×C₄	—	67	2	no	—
2361	C₂²×C₄	—	67	1	no	—
2362	C₂²×C₄	—	67	1	no	—
2363	C₂²×C₄	—	67	4	no	—
2364	C₂²×C₄	—	67	2	no	—
2365	C₂²×C₄	—	67	2	no	—
2366	C₂²×C₄	—	134	4	no	—
2367	C₂²×C₄	—	134	4	no	—
2368	C₂²×C₄	—	134	8	no	—
2369	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2370	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2371	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2372	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2373	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2374	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2375	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2376	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2377	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2378	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2379	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2380	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2381	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2382	C₄⋊C₄	—	67	2	no	—
2383	C₄⋊C₄	—	67	1	no	—
2384	C₄⋊C₄	—	67	2	no	—
2385	C₄⋊C₄	—	67	1	no	—
2386	C₄⋊C₄	—	67	2	no	—
2387	C₄⋊C₄	—	67	2	no	—
2388	C₄⋊C₄	—	67	2	no	—
2389	C₄⋊C₄	—	67	1	no	—
2390	C₄⋊C₄	—	67	1	no	—
2391	C₄⋊C₄	—	67	2	no	—
2392	C₄⋊C₄	—	67	2	no	—
2393	C₄⋊C₄	—	67	2	no	—
2394	C₄⋊C₄	—	67	2	no	—
2395	C₄⋊C₄	—	67	4	no	—
2396	C₄⋊C₄	—	67	4	no	—
2397	C₄⋊C₄	—	67	4	no	—
2398	C₄⋊C₄	—	67	4	no	—
2399	C₄⋊C₄	—	67	2	no	—
2400	C₄⋊C₄	—	67	4	no	—
2401	C₄⋊C₄	—	67	2	no	—
2402	C₄⋊C₄	—	67	4	no	—
2403	C₄⋊C₄	—	67	4	no	—
2404	C₄⋊C₄	—	67	4	no	—
2405	C₄⋊C₄	—	67	4	no	—
2406	C₄⋊C₄	—	67	4	no	—
2407	C₄⋊C₄	—	67	2	no	—
2408	C₄⋊C₄	—	67	2	no	—
2409	C₄⋊C₄	—	67	2	no	—
2410	C₄⋊C₄	—	67	4	no	—
2411	C₄⋊C₄	—	67	2	no	—
2412	C₄⋊C₄	—	67	2	no	—
2413	C₄⋊C₄	—	67	4	no	—
2414	C₄⋊C₄	—	67	2	no	—
2415	C₄⋊C₄	—	67	2	no	—
2416	C₄⋊C₄	—	67	2	no	—
2417	C₄⋊C₄	—	67	2	no	—
2418	C₄⋊C₄	—	67	2	no	—
2419	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2420	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2421	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2422	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2423	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2424	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2425	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2426	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2427	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2428	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2429	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2430	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2431	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2432	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2433	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2434	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2435	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2436	C₂²⋊C₄	—	67	2	no	—
2437	C₂²⋊C₄	—	67	2	no	—
2438	C₂²⋊C₄	—	67	2	no	—
2439	C₂²⋊C₄	—	67	2	no	—
2440	C₂²⋊C₄	—	67	2	no	—
2441	C₂²⋊C₄	—	67	4	no	—
2442	C₂²⋊C₄	—	67	2	no	—
2443	C₂²⋊C₄	—	67	2	no	—
2444	C₂²⋊C₄	—	67	2	no	—
2445	C₂²⋊C₄	—	67	4	no	—
2446	C₂²⋊C₄	—	67	2	no	—
2447	C₂²⋊C₄	—	67	2	no	—
2448	C₂²⋊C₄	—	67	2	no	—
2449	C₂²⋊C₄	—	67	2	no	—
2450	C₂²⋊C₄	—	67	2	no	—
2451	C₂²⋊C₄	—	67	2	no	—
2452	C₂²⋊C₄	—	67	2	no	—
2453	C₂²⋊C₄	—	67	2	no	—
2454	C₂²⋊C₄	—	67	2	no	—
2455	C₂²⋊C₄	—	67	2	no	—
2456	C₂²⋊C₄	—	67	2	no	—
2457	C₂²⋊C₄	—	67	4	no	—
2458	C₂²⋊C₄	—	67	4	no	—
2459	C₂²⋊C₄	—	67	4	no	—
2460	C₂²⋊C₄	—	67	2	no	—
2461	C₂²⋊C₄	—	67	4	no	—
2462	C₂²⋊C₄	—	67	2	no	—
2463	C₂²⋊C₄	—	67	4	no	—
2464	C₂²⋊C₄	—	67	4	no	—
2465	C₂²⋊C₄	—	67	4	no	—
2466	C₂²⋊C₄	—	67	4	no	—
2467	C₂²⋊C₄	—	67	2	no	—
2468	C₂²⋊C₄	—	67	4	no	—
2469	C₂²⋊C₄	—	67	2	no	—
2470	C₂²⋊C₄	—	67	2	no	—
2471	C₂²⋊C₄	—	67	4	no	—
2472	C₂²⋊C₄	—	67	4	no	—
2473	C₂²⋊C₄	—	67	4	no	—
2474	C₂²⋊C₄	—	67	4	no	—
2475	C₂²⋊C₄	—	67	4	no	—
2476	C₂²⋊C₄	—	67	4	no	—
2477	C₂²⋊C₄	—	67	4	no	—
2478	C₂²⋊C₄	—	67	4	no	—
2479	C₂²⋊C₄	—	67	2	no	—
2480	C₂²⋊C₄	—	67	4	no	—
2481	C₂²⋊C₄	—	67	2	no	—
2482	C₂²⋊C₄	—	67	4	no	—
2483	C₂²⋊C₄	—	67	4	no	—
2484	C₂²⋊C₄	—	67	2	no	—
2485	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2486	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2487	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2488	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2489	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2490	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2491	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2492	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2493	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2494	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2495	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2496	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2497	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2498	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2499	C₄²	—	67	1	no	—
2500	C₄²	—	67	1	no	—
2501	C₄²	—	67	1	no	—
2502	C₄²	—	67	1	no	—
2503	C₄²	—	67	1	no	—
2504	C₄²	—	67	1	no	—
2505	C₄²	—	67	1	no	—
2506	C₄²	—	67	1	no	—
2507	C₄²	—	67	1	no	—
2508	C₄²	—	67	1	no	—
2509	C₄²	—	67	4	no	—
2510	C₄²	—	67	4	no	—
2511	C₄²	—	67	4	no	—
2512	C₄²	—	67	2	no	—
2513	C₄²	—	67	4	no	—
2514	C₄²	—	67	2	no	—
2515	C₄²	—	67	1	no	—
2516	C₄²	—	67	1	no	—
2517	C₄²	—	67	2	no	—
2518	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2519	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2520	C₄²	C₂³×D₆₇	1	4	yes	—
2521	C₄²	C₂³×D₆₇	1	2	yes	—
2522	C₄²	C₂³×D₆₇	1	2	yes	—
2523	C₄²	C₂³×D₆₇	1	4	yes	—
2524	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2525	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2526	C₄²	C₂³×D₆₇	1	4	yes	—
2527	C₄²	C₂³×D₆₇	1	2	yes	—
2528	C₂³	—	2	4	no	—
2529	C₂³	—	2	4	no	—
2530	C₂³	—	4	2	no	—
2531	C₂³	—	268	2	no	—
2532	C₂³	—	268	2	no	—
2533	C₂³	—	268	2	no	—
2534	C₂³	—	268	2	no	—
2535	C₂³	—	268	2	no	—
2536	C₂³	—	268	2	no	—
2537	C₂³	—	268	2	no	—
2538	C₂³	—	268	4	no	—
2539	C₂³	—	268	4	no	—
2540	C₂³	—	268	4	no	—
2541	C₂³	—	268	4	no	—
2542	C₂³	—	268	32	no	—
2543	C₂³	—	67	8	no	—
2544	C₂³	—	67	1	no	—
2545	C₂³	—	67	2	no	—
2546	C₂³	—	67	1	no	—
2547	C₂³	—	67	2	no	—
2548	C₂³	—	67	2	no	—
2549	C₂³	—	67	4	no	—
2550	C₂³	—	134	4	no	—
2551	C₂³	—	134	4	no	—
2552	C₂³	—	134	4	no	—
2553	C₂³	—	134	4	no	—
2554	C₂³	—	134	4	no	—
2555	C₂³	—	134	8	no	—
2556	C₂³	—	134	2	no	—
2557	C₂³	—	134	2	no	—
2558	C₂³	—	134	4	no	—
2559	C₂³	—	134	4	no	—
2560	C₂³	—	134	8	no	—
2561	C₂³	—	134	2	no	—
2562	C₂³	C₂⁴×D₆₇	1	2	yes	—
2563	C₂³	C₂⁴×D₆₇	1	2	yes	—
2564	C₂³	C₂⁴×D₆₇	1	2	yes	—
2565	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2566	Q₈	—	2	4	no	—
2567	Q₈	—	2	2	no	—
2568	Q₈	—	4	2	no	—
2569	Q₈	—	268	4	no	—
2570	Q₈	—	268	4	no	—
2571	Q₈	—	268	2	no	—
2572	Q₈	—	134	4	no	—
2573	Q₈	—	134	2	no	—
2574	Q₈	—	134	4	no	—
2575	D₄	—	2	4	no	—
2576	D₄	—	2	8	no	—
2577	D₄	—	2	4	no	—
2578	D₄	—	2	2	no	—
2579	D₄	—	2	2	no	—
2580	D₄	—	4	4	no	—
2581	D₄	—	268	4	no	—
2582	D₄	—	268	4	no	—
2583	D₄	—	268	4	no	—
2584	D₄	—	268	4	no	—
2585	D₄	—	268	2	no	—
2586	D₄	—	268	4	no	—
2587	D₄	—	268	4	no	—
2588	D₄	—	268	4	no	—
2589	D₄	—	268	4	no	—
2590	D₄	—	268	4	no	—
2591	D₄	—	268	2	no	—
2592	D₄	—	67	8	no	—
2593	D₄	—	67	4	no	—
2594	D₄	—	134	4	no	—
2595	D₄	—	134	8	no	—
2596	D₄	—	134	4	no	—
2597	D₄	—	134	4	no	—
2598	D₄	—	134	8	no	—
2599	D₄	—	134	8	no	—
2600	D₄	—	134	8	no	—
2601	D₄	—	134	4	no	—
2602	D₄	—	134	4	no	—
2603	D₄	—	134	4	no	—
2604	D₄	—	134	4	no	—
2605	D₄	—	134	4	no	—
2606	D₄	—	134	4	no	—
2607	D₄	—	134	8	no	—
2608	D₄	—	134	8	no	—
2609	D₄	—	134	4	no	—
2610	D₄	—	134	2	no	—
2611	D₄	—	134	4	no	—
2612	D₄	—	134	2	no	—
2613	D₄	—	134	4	no	—
2614	D₄	#41×D₆₇	1	4	yes	complemented
2615	C₂×C₄	—	2	8	no	—
2616	C₂×C₄	—	2	4	no	—
2617	C₂×C₄	—	2	2	no	—
2618	C₂×C₄	—	2	4	no	—
2619	C₂×C₄	—	2	4	no	—
2620	C₂×C₄	—	2	4	no	—
2621	C₂×C₄	—	2	4	no	—
2622	C₂×C₄	—	2	4	no	—
2623	C₂×C₄	—	2	4	no	—
2624	C₂×C₄	—	4	1	no	—
2625	C₂×C₄	—	4	4	no	—
2626	C₂×C₄	—	4	2	no	—
2627	C₂×C₄	—	268	2	no	—
2628	C₂×C₄	—	268	2	no	—
2629	C₂×C₄	—	268	2	no	—
2630	C₂×C₄	—	268	2	no	—
2631	C₂×C₄	—	268	2	no	—
2632	C₂×C₄	—	268	2	no	—
2633	C₂×C₄	—	268	2	no	—
2634	C₂×C₄	—	268	2	no	—
2635	C₂×C₄	—	268	4	no	—
2636	C₂×C₄	—	268	4	no	—
2637	C₂×C₄	—	268	4	no	—
2638	C₂×C₄	—	268	4	no	—
2639	C₂×C₄	—	268	1	no	—
2640	C₂×C₄	—	268	1	no	—
2641	C₂×C₄	—	268	4	no	—
2642	C₂×C₄	—	268	2	no	—
2643	C₂×C₄	—	268	4	no	—
2644	C₂×C₄	—	268	2	no	—
2645	C₂×C₄	—	268	2	no	—
2646	C₂×C₄	—	268	2	no	—
2647	C₂×C₄	—	268	2	no	—
2648	C₂×C₄	—	268	4	no	—
2649	C₂×C₄	—	268	4	no	—
2650	C₂×C₄	—	268	1	no	—
2651	C₂×C₄	—	67	1	no	—
2652	C₂×C₄	—	67	4	no	—
2653	C₂×C₄	—	67	1	no	—
2654	C₂×C₄	—	67	1	no	—
2655	C₂×C₄	—	67	2	no	—
2656	C₂×C₄	—	67	2	no	—
2657	C₂×C₄	—	67	1	no	—
2658	C₂×C₄	—	67	1	no	—
2659	C₂×C₄	—	67	1	no	—
2660	C₂×C₄	—	67	2	no	—
2661	C₂×C₄	—	67	4	no	—
2662	C₂×C₄	—	67	2	no	—
2663	C₂×C₄	—	67	2	no	—
2664	C₂×C₄	—	134	2	no	—
2665	C₂×C₄	—	134	8	no	—
2666	C₂×C₄	—	134	2	no	—
2667	C₂×C₄	—	134	2	no	—
2668	C₂×C₄	—	134	2	no	—
2669	C₂×C₄	—	134	8	no	—
2670	C₂×C₄	—	134	2	no	—
2671	C₂×C₄	—	134	2	no	—
2672	C₂×C₄	—	134	4	no	—
2673	C₂×C₄	—	134	2	no	—
2674	C₂×C₄	—	134	4	no	—
2675	C₂×C₄	—	134	2	no	—
2676	C₂×C₄	—	134	2	no	—
2677	C₂×C₄	—	134	4	no	—
2678	C₂×C₄	—	134	2	no	—
2679	C₂×C₄	—	134	2	no	—
2680	C₂×C₄	—	134	4	no	—
2681	C₂×C₄	—	134	4	no	—
2682	C₂×C₄	—	134	4	no	—
2683	C₂×C₄	—	134	8	no	—
2684	C₂×C₄	—	134	4	no	—
2685	C₂×C₄	#14524089	1	4	yes	complemented
2686	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2687	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2688	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2689	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2690	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2691	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2692	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2693	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2694	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2695	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2696	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2697	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2698	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2699	C₂²	—	2	1	no	—
2700	C₂²	—	2	2	no	—
2701	C₂²	—	2	2	no	—
2702	C₂²	—	2	1	no	—
2703	C₂²	—	2	2	no	—
2704	C₂²	—	2	2	no	—
2705	C₂²	—	2	2	no	—
2706	C₂²	—	2	2	no	—
2707	C₂²	—	2	2	no	—
2708	C₂²	—	2	2	no	—
2709	C₂²	—	4	8	no	—
2710	C₂²	—	268	8	no	—
2711	C₂²	—	268	8	no	—
2712	C₂²	—	268	8	no	—
2713	C₂²	—	268	8	no	—
2714	C₂²	—	268	8	no	—
2715	C₂²	—	536	8	no	—
2716	C₂²	—	536	8	no	—
2717	C₂²	—	67	2	no	—
2718	C₂²	—	67	4	no	—
2719	C₂²	—	67	2	no	—
2720	C₂²	—	134	8	no	—
2721	C₂²	—	134	4	no	—
2722	C₂²	—	134	2	no	—
2723	C₂²	—	134	2	no	—
2724	C₂²	—	134	2	no	—
2725	C₂²	—	134	2	no	—
2726	C₂²	—	134	4	no	—
2727	C₂²	—	134	2	no	—
2728	C₂²	—	134	4	no	—
2729	C₂²	—	134	2	no	—
2730	C₂²	—	134	1	no	—
2731	C₂²	—	134	1	no	—
2732	C₂²	—	134	1	no	—
2733	C₂²	—	134	2	no	—
2734	C₂²	—	134	1	no	—
2735	C₂²	—	134	2	no	—
2736	C₂²	C₂×#41×D₆₇	1	4	yes	—
2737	C₂²	C₂×#14524089	1	2	yes	—
2738	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2739	C₄	—	2	2	no	—
2740	C₄	—	2	1	no	—
2741	C₄	—	2	4	no	—
2742	C₄	—	2	2	no	—
2743	C₄	—	2	2	no	—
2744	C₄	—	2	2	no	—
2745	C₄	—	2	1	no	—
2746	C₄	—	2	2	no	—
2747	C₄	—	2	4	no	—
2748	C₄	—	2	1	no	—
2749	C₄	—	67	2	no	—
2750	C₄	—	134	1	no	—
2751	C₄	—	134	2	no	—
2752	C₄	—	134	1	no	—
2753	C₄	—	134	1	no	—
2754	C₄	—	134	2	no	—
2755	C₄	—	134	2	no	—
2756	C₄	—	134	4	no	—
2757	C₄	—	134	2	no	—
2758	C₄	—	134	1	no	—
2759	C₄	—	134	2	no	—
2760	C₄	—	134	1	no	—
2761	C₄	C₂×#41×D₆₇	1	2	yes	—
2762	C₄	C₂×#14524089	1	2	yes	—
2763	C₄	C₂×#14524089	1	2	yes	—
2764	C₂	—	2	2	no	—
2765	C₂	—	2	4	no	—
2766	C₂	—	4	2	no	—
2767	C₂	—	4	2	no	—
2768	C₂	—	268	2	no	—
2769	C₂	—	268	2	no	—
2770	C₂	—	268	4	no	—
2771	C₂	—	134	2	no	—
2772	C₂	—	134	2	no	—
2773	C₂	—	134	4	no	—
2774	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
2775	C₂	C₂²×#14524089	1	1	yes	characteristic
2776	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₆₇×#3475	C₂
hypercenter	#3475	D₆₇
hypocenter	C₆₇	#62773
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #22574257	C₂	semidirect
2. #22574255	C₂	semidirect
3. #22574249	C₂	semidirect
4. #22574244	C₂	semidirect
5. #22574242	C₂	semidirect
6. #22574234	C₂	semidirect
7. #22574154	C₂	semidirect
8. #22574150	C₂	semidirect
9. #22574136	C₂	semidirect
10. #22574062	C₂	semidirect
11. #22574051	C₂	semidirect
12. #22574049	C₂	semidirect
13. #22574038	C₂	semidirect
14. #22574006	C₂	semidirect
15. #22573967	C₂	semidirect
16. #22573909	C₂	semidirect
17. #22573893	C₂	semidirect
18. #22573839	C₂	semidirect
19. #22573819	C₂	semidirect
20. #22573815	C₂	semidirect
21. #22573815	C₂	semidirect
22. #22573776	C₂	semidirect
23. #22573763	C₂	semidirect
24. #41×D₂₆₈	C₂	semidirect
25. D₄×#11761628	C₂	semidirect
26. #22573692	C₂	semidirect
27. #22573630	C₂	semidirect
28. #22573619	C₂	semidirect
29. #22573506	C₂	semidirect
30. #22573502	C₂	semidirect
31. C₂×#16863908	C₂	semidirect
32. #525×D₆₇	C₂	semidirect
33. C₄×#14524089	C₂	semidirect
34. C₂×C₄×D₄×D₆₇	C₂	semidirect
35. C₆₇×#3475	C₂	semidirect
37. C₂²×#11761628	C₂²	semidirect
38. C₂×#41×D₆₇	C₂²	semidirect
40. C₂³×C₄×D₆₇	C₂²	semidirect
41. #16864131	C₂²	semidirect
42. #16864128	C₂²	semidirect
43. #16864128	C₂²	semidirect
44. #16864120	C₂²	semidirect
45. #16864114	C₂²	semidirect
46. #16864112	C₂²	semidirect
47. #16864109	C₂²	semidirect
48. #16864107	C₂²	semidirect
49. #16864106	C₂²	semidirect
50. #16864104	C₂²	semidirect
51. #16864104	C₂²	semidirect
52. #16864103	C₂²	semidirect
53. #16864102	C₂²	semidirect
54. #16864102	C₂²	semidirect
55. #16864101	C₂²	semidirect
56. #16864099	C₂²	semidirect
57. #16864099	C₂²	semidirect
58. #16864099	C₂²	semidirect
59. #16864098	C₂²	semidirect
60. #16864098	C₂²	semidirect
61. #16864097	C₂²	semidirect
62. #16864097	C₂²	semidirect
63. #16864097	C₂²	semidirect
64. #16864094	C₂²	semidirect
65. #16864092	C₂²	semidirect
66. #16864090	C₂²	semidirect
67. #16864090	C₂²	semidirect
68. #16864090	C₂²	semidirect
69. #16864088	C₂²	semidirect
70. #16864085	C₂²	semidirect
71. #16864084	C₂²	semidirect
72. #16864081	C₂²	semidirect
73. #16864079	C₂²	semidirect
74. #16864073	C₂²	semidirect
75. #16864072	C₂²	semidirect
76. #16864071	C₂²	semidirect
77. #16864071	C₂²	semidirect
78. #16864071	C₂²	semidirect
79. #16864070	C₂²	semidirect
80. #16864070	C₂²	semidirect
81. #16864070	C₂²	semidirect
82. #16864069	C₂²	semidirect
83. #16864069	C₂²	semidirect
84. #16864069	C₂²	semidirect
85. #16864068	C₂²	semidirect
86. #16864067	C₂²	semidirect
87. #16864064	C₂²	semidirect
88. Q₈×D₂₆₈	C₂²	semidirect
89. D₄×Dic₁₃₄	C₂²	semidirect
90. #16864059	C₂²	semidirect
91. #16864058	C₂²	semidirect
92. #16864056	C₂²	semidirect
93. #16864055	C₂²	semidirect
94. #16864052	C₂²	semidirect
95. #16864051	C₂²	semidirect
96. #16864050	C₂²	semidirect
97. #16864050	C₂²	semidirect
98. #16864049	C₂²	semidirect
99. #16864048	C₂²	semidirect
100. #16864047	C₂²	semidirect
101. #16864047	C₂²	semidirect
102. #16864044	C₂²	semidirect
103. #16864043	C₂²	semidirect
104. #16864042	C₂²	semidirect
105. #16864042	C₂²	semidirect
106. #16864041	C₂²	semidirect
107. #16864041	C₂²	semidirect
108. #16864039	C₂²	semidirect
109. #16864039	C₂²	semidirect
110. #16864038	C₂²	semidirect
111. #16864038	C₂²	semidirect
112. #16864038	C₂²	semidirect
113. #16864038	C₂²	semidirect
114. #16864037	C₂²	semidirect
115. #16864037	C₂²	semidirect
116. #16864037	C₂²	semidirect
117. #16864037	C₂²	semidirect
118. #16864036	C₂²	semidirect
119. #16864036	C₂²	semidirect
120. #16864034	C₂²	semidirect
121. #16864034	C₂²	semidirect
122. #16864033	C₂²	semidirect
123. D₄×D₂₆₈	C₂²	semidirect
124. D₄×D₂₆₈	C₂²	semidirect
125. D₄×D₂₆₈	C₂²	semidirect
126. D₄×D₂₆₈	C₂²	semidirect
127. #16864030	C₂²	semidirect
128. #16864030	C₂²	semidirect
129. #16864030	C₂²	semidirect
130. D₄×C₂²⋊D₆₇	C₂²	semidirect
131. #16864028	C₂²	semidirect
132. #16864026	C₂²	semidirect
133. #16864021	C₂²	semidirect
134. #16864019	C₂²	semidirect
135. #16864015	C₂²	semidirect
136. #16864012	C₂²	semidirect
137. #16864002	C₂²	semidirect
138. #16863999	C₂²	semidirect
139. #16863998	C₂²	semidirect
140. #16863994	C₂²	semidirect
141. #16863994	C₂²	semidirect
142. #16863990	C₂²	semidirect
143. #16863990	C₂²	semidirect
144. #16863987	C₂²	semidirect
145. #16863987	C₂²	semidirect
146. #16863986	C₂²	semidirect
147. #16863985	C₂²	semidirect
148. #16863985	C₂²	semidirect
149. #16863985	C₂²	semidirect
150. #16863983	C₂²	semidirect
151. #16863982	C₂²	semidirect
152. #16863980	C₂²	semidirect
153. #16863980	C₂²	semidirect
154. #16863976	C₂²	semidirect
155. #16863964	C₂²	semidirect
156. #16863962	C₂²	semidirect
157. #16863957	C₂²	semidirect
158. #16863957	C₂²	semidirect
159. #16863954	C₂²	semidirect
160. #16863951	C₂²	semidirect
161. #16863951	C₂²	semidirect
162. #16863950	C₂²	semidirect
163. #16863950	C₂²	semidirect
164. #16863949	C₂²	semidirect
165. #16863947	C₂²	semidirect
166. #16863947	C₂²	semidirect
167. #16863946	C₂²	semidirect
168. #16863946	C₂²	semidirect
169. #16863943	C₂²	semidirect
170. #16863943	C₂²	semidirect
171. #16863943	C₂²	semidirect
172. #16863943	C₂²	semidirect
173. #16863942	C₂²	semidirect
174. #16863933	C₂²	semidirect
175. #16863933	C₂²	semidirect
176. #16863933	C₂²	semidirect
177. #16863933	C₂²	semidirect
178. #16863933	C₂²	semidirect
179. #16863933	C₂²	semidirect
180. #16863932	C₂²	semidirect
181. #16863932	C₂²	semidirect
182. #16863931	C₂²	semidirect
183. #16863931	C₂²	semidirect
184. #16863930	C₂²	semidirect
185. #16863928	C₂²	semidirect
186. #16863928	C₂²	semidirect
187. #16863926	C₂²	semidirect
188. #16863926	C₂²	semidirect
189. #16863924	C₂²	semidirect
190. #16863924	C₂²	semidirect
191. #16863924	C₂²	semidirect
192. #16863924	C₂²	semidirect
193. #16863909	C₂²	semidirect
194. #16863909	C₂²	semidirect
195. #16863909	C₂²	semidirect
196. #16863909	C₂²	semidirect
197. #16863908	C₂²	semidirect
198. #16863908	C₂²	semidirect
199. #16863908	C₂²	semidirect
200. #16863908	C₂²	semidirect
201. #16863908	C₂²	semidirect
202. #16863908	C₂²	semidirect
203. #16863908	C₂²	semidirect
204. #16863908	C₂²	semidirect
205. #16863908	C₂²	semidirect
206. #16863908	C₂²	semidirect
207. #16863908	C₂²	semidirect
208. #16863908	C₂²	semidirect
209. #16863908	C₂²	semidirect
210. #16863907	C₂²	semidirect
211. #16863906	C₂²	semidirect
212. #16863906	C₂²	semidirect
213. #16863905	C₂²	semidirect
214. #16863905	C₂²	semidirect
215. #16863905	C₂²	semidirect
216. #16863905	C₂²	semidirect
217. #16863905	C₂²	semidirect
218. #16863905	C₂²	semidirect
219. #16863905	C₂²	semidirect
220. #16863904	C₂²	semidirect
221. #16863903	C₂²	semidirect
222. #16863902	C₂²	semidirect
223. C₂×#14524027	C₂²	semidirect
224. #123×D₆₇	C₂²	semidirect
225. C₂×#14524023	C₂²	semidirect
226. C₂×#14524023	C₂²	semidirect
227. C₂²⋊Q₈×D₆₇	C₂²	semidirect
228. C₂²⋊Q₈×D₆₇	C₂²	semidirect
229. C₂×#14524018	C₂²	semidirect
230. C₂×#14524018	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. #121×D₆₇	C₂²	semidirect
233. C₂×#14524013	C₂²	semidirect
234. #120×D₆₇	C₂²	semidirect
235. #16863879	C₂²	semidirect
236. #16863878	C₂²	semidirect
237. #16863878	C₂²	semidirect
238. #16863876	C₂²	semidirect
239. #16863876	C₂²	semidirect
240. #16863870	C₂²	semidirect
241. #16863870	C₂²	semidirect
243. #16863868	C₂²	semidirect
244. #16863868	C₂²	semidirect
245. #16863868	C₂²	semidirect
246. C₄×#11761629	C₂²	semidirect
247. C₄×#11761629	C₂²	semidirect
248. C₄×#11761629	C₂²	semidirect
249. C₄×#11761628	C₂²	semidirect
250. C₄×#11761628	C₂²	semidirect
251. C₄×#11761628	C₂²	semidirect
252. C₄×#11761628	C₂²	semidirect
253. #16863864	C₂²	semidirect
254. C₂×C₄×D₂₆₈	C₂²	semidirect
255. C₂×C₄×D₂₆₈	C₂²	semidirect
256. C₂×C₄×D₂₆₈	C₂²	semidirect
257. C₂×C₄×D₂₆₈	C₂²	semidirect
258. C₂×D₄×Dic₆₇	C₂²	semidirect
259. C₂×#14524005	C₂²	semidirect
260. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
261. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
264. C₄×D₄×D₆₇	C₂²	semidirect
265. C₄×D₄×D₆₇	C₂²	semidirect
266. C₄×D₄×D₆₇	C₂²	semidirect
267. C₄×D₄×D₆₇	C₂²	semidirect
268. C₄×D₄×D₆₇	C₂²	semidirect
269. C₄×D₄×D₆₇	C₂²	semidirect
270. C₄×D₄×D₆₇	C₂²	semidirect
271. C₄×D₄×D₆₇	C₂²	semidirect
272. C₄×D₄×D₆₇	C₂²	semidirect
273. C₄×D₄×D₆₇	C₂²	semidirect
274. C₄×D₄×D₆₇	C₂²	semidirect
275. C₄×D₄×D₆₇	C₂²	semidirect
276. C₄×D₄×D₆₇	C₂²	semidirect
277. C₄×D₄×D₆₇	C₂²	semidirect
278. #117×D₆₇	C₂²	semidirect
279. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
281. C₂×C₄²×D₆₇	C₂²	semidirect
282. #556×C₆₇	C₂²	semidirect
283. #555×C₆₇	C₂²	semidirect
284. #554×C₆₇	C₂²	semidirect
285. #553×C₆₇	C₂²	semidirect
286. #552×C₆₇	C₂²	semidirect
287. #552×C₆₇	C₂²	semidirect
288. #551×C₆₇	C₂²	semidirect
289. #547×C₆₇	C₂²	semidirect
290. #546×C₆₇	C₂²	semidirect
291. #533×C₆₇	C₂²	semidirect
292. #529×C₆₇	C₂²	semidirect
293. #529×C₆₇	C₂²	semidirect
294. #525×C₆₇	C₂²	semidirect
295. C₄×#41×C₆₇	C₂²	semidirect
296. C₄×#41×C₆₇	C₂²	semidirect
297. C₂×C₄×D₄×C₆₇	C₂²	semidirect
298. C₂×#117×C₆₇	C₂²	semidirect
304. C₂×#11761629	C₂³	semidirect
312. C₂×#11761628	C₂³	semidirect
313. C₂×#11761628	C₂³	semidirect
314. C₂×#11761628	C₂³	semidirect
315. C₂×#11761628	C₂³	semidirect
317. C₂×#11761627	C₂³	semidirect
319. C₂²×Dic₁₃₄	C₂³	semidirect
320. C₂×Q₈×D₆₇	C₂³	semidirect
325. C₂²×D₂₆₈	C₂³	semidirect
340. C₂×D₄×D₆₇	C₂³	semidirect
357. C₂²×C₄×D₆₇	C₂³	semidirect
358. C₂²×C₄×D₆₇	C₂³	semidirect
359. #14524043	C₂³	semidirect
360. #14524043	C₂³	semidirect
361. #14524042	C₂³	semidirect
362. #14524042	C₂³	semidirect
363. #14524042	C₂³	semidirect
364. #14524042	C₂³	semidirect
365. #14524041	C₂³	semidirect
367. #14524040	C₂³	semidirect
370. #14524039	C₂³	semidirect
371. #14524038	C₂³	semidirect
372. #14524038	C₂³	semidirect
373. #14524038	C₂³	semidirect
374. #14524038	C₂³	semidirect
375. #14524038	C₂³	semidirect
376. #14524038	C₂³	semidirect
377. #14524038	C₂³	semidirect
378. #14524038	C₂³	semidirect
379. #14524038	C₂³	semidirect
380. #14524037	C₂³	semidirect
381. #14524037	C₂³	semidirect
382. #14524036	C₂³	semidirect
383. #14524036	C₂³	semidirect
384. #14524036	C₂³	semidirect
385. #14524036	C₂³	semidirect
386. #14524035	C₂³	semidirect
387. #14524034	C₂³	semidirect
388. #14524034	C₂³	semidirect
389. #14524034	C₂³	semidirect
390. #14524034	C₂³	semidirect
391. #14524034	C₂³	semidirect
392. #14524034	C₂³	semidirect
393. #14524033	C₂³	semidirect
394. #14524033	C₂³	semidirect
395. #14524033	C₂³	semidirect
396. #14524033	C₂³	semidirect
398. #14524032	C₂³	semidirect
399. #14524032	C₂³	semidirect
400. #14524032	C₂³	semidirect
401. #14524032	C₂³	semidirect
402. #14524031	C₂³	semidirect
403. #14524031	C₂³	semidirect
404. #14524031	C₂³	semidirect
405. #14524030	C₂³	semidirect
407. #14524029	C₂³	semidirect
408. #14524029	C₂³	semidirect
409. #14524029	C₂³	semidirect
410. #14524029	C₂³	semidirect
411. #14524029	C₂³	semidirect
412. #14524029	C₂³	semidirect
418. #14524028	C₂³	semidirect
419. #14524028	C₂³	semidirect
420. #14524028	C₂³	semidirect
421. #14524028	C₂³	semidirect
422. #14524028	C₂³	semidirect
423. #14524028	C₂³	semidirect
424. #14524028	C₂³	semidirect
425. #14524028	C₂³	semidirect
426. #14524028	C₂³	semidirect
431. #14524027	C₂³	semidirect
432. #14524027	C₂³	semidirect
433. #14524027	C₂³	semidirect
434. #14524027	C₂³	semidirect
435. #14524027	C₂³	semidirect
436. #14524027	C₂³	semidirect
439. #14524026	C₂³	semidirect
443. #14524025	C₂³	semidirect
444. #14524025	C₂³	semidirect
445. #14524025	C₂³	semidirect
446. #14524025	C₂³	semidirect
447. #14524025	C₂³	semidirect
448. #14524025	C₂³	semidirect
456. #14524023	C₂³	semidirect
457. #14524023	C₂³	semidirect
458. #14524023	C₂³	semidirect
459. #14524023	C₂³	semidirect
460. #14524023	C₂³	semidirect
461. #14524023	C₂³	semidirect
462. #14524023	C₂³	semidirect
463. #14524023	C₂³	semidirect
464. #14524022	C₂³	semidirect
465. #14524022	C₂³	semidirect
466. #14524022	C₂³	semidirect
471. #14524021	C₂³	semidirect
472. #14524021	C₂³	semidirect
473. #14524021	C₂³	semidirect
474. #14524021	C₂³	semidirect
475. #14524021	C₂³	semidirect
478. #14524020	C₂³	semidirect
479. #14524020	C₂³	semidirect
480. #14524020	C₂³	semidirect
481. #14524020	C₂³	semidirect
482. #14524020	C₂³	semidirect
487. #14524019	C₂³	semidirect
488. #14524019	C₂³	semidirect
500. #14524018	C₂³	semidirect
501. #14524018	C₂³	semidirect
502. #14524018	C₂³	semidirect
503. #14524018	C₂³	semidirect
504. #14524018	C₂³	semidirect
505. #14524018	C₂³	semidirect
506. #14524018	C₂³	semidirect
507. #14524018	C₂³	semidirect
508. #14524018	C₂³	semidirect
513. #14524017	C₂³	semidirect
514. #14524017	C₂³	semidirect
515. #14524017	C₂³	semidirect
516. #14524017	C₂³	semidirect
525. #14524016	C₂³	semidirect
526. #14524016	C₂³	semidirect
527. #14524016	C₂³	semidirect
528. #14524016	C₂³	semidirect
533. #14524015	C₂³	semidirect
534. #14524015	C₂³	semidirect
535. #14524015	C₂³	semidirect
539. #14524014	C₂³	semidirect
552. #14524013	C₂³	semidirect
553. #14524013	C₂³	semidirect
554. #14524013	C₂³	semidirect
561. #14524011	C₂³	semidirect
562. Q₈×Dic₆₇	C₂³	semidirect
563. Q₈×Dic₆₇	C₂³	semidirect
564. Q₈×Dic₆₇	C₂³	semidirect
565. C₄×Dic₁₃₄	C₂³	semidirect
566. C₄×Dic₁₃₄	C₂³	semidirect
567. C₄×Dic₁₃₄	C₂³	semidirect
568. C₄×Dic₁₃₄	C₂³	semidirect
569. C₄×Dic₁₃₄	C₂³	semidirect
570. C₄×Dic₁₃₄	C₂³	semidirect
571. C₄×Dic₁₃₄	C₂³	semidirect
572. #14524008	C₂³	semidirect
573. #14524008	C₂³	semidirect
591. C₄×D₂₆₈	C₂³	semidirect
592. C₄×D₂₆₈	C₂³	semidirect
593. C₄×D₂₆₈	C₂³	semidirect
594. C₄×D₂₆₈	C₂³	semidirect
595. C₄×D₂₆₈	C₂³	semidirect
596. C₄×D₂₆₈	C₂³	semidirect
597. C₄×D₂₆₈	C₂³	semidirect
598. C₄×D₂₆₈	C₂³	semidirect
599. C₄×D₂₆₈	C₂³	semidirect
600. C₄×D₂₆₈	C₂³	semidirect
601. C₄×D₂₆₈	C₂³	semidirect
602. C₄×D₂₆₈	C₂³	semidirect
603. C₄×D₂₆₈	C₂³	semidirect
604. C₄×D₂₆₈	C₂³	semidirect
605. C₄×D₂₆₈	C₂³	semidirect
613. D₄×Dic₆₇	C₂³	semidirect
614. D₄×Dic₆₇	C₂³	semidirect
615. D₄×Dic₆₇	C₂³	semidirect
627. #14524005	C₂³	semidirect
628. #14524005	C₂³	semidirect
629. #14524005	C₂³	semidirect
630. #14524005	C₂³	semidirect
631. #14524005	C₂³	semidirect
632. #14524005	C₂³	semidirect
633. #14524005	C₂³	semidirect
649. C₄×C₂²⋊D₆₇	C₂³	semidirect
650. C₄×C₂²⋊D₆₇	C₂³	semidirect
651. C₄×C₂²⋊D₆₇	C₂³	semidirect
652. C₄×C₂²⋊D₆₇	C₂³	semidirect
653. C₄×C₂²⋊D₆₇	C₂³	semidirect
654. C₄×C₂²⋊D₆₇	C₂³	semidirect
655. C₄×C₂²⋊D₆₇	C₂³	semidirect
669. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
670. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
671. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
672. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
674. #14524002	C₂³	semidirect
675. #14524002	C₂³	semidirect
676. #14524002	C₂³	semidirect
679. #14524001	C₂³	semidirect
680. #14524001	C₂³	semidirect
681. #14524001	C₂³	semidirect
682. #14524001	C₂³	semidirect
683. #14524001	C₂³	semidirect
684. #14524001	C₂³	semidirect
687. #14524000	C₂³	semidirect
688. #14524000	C₂³	semidirect
689. #14524000	C₂³	semidirect
690. #14524000	C₂³	semidirect
691. #14524000	C₂³	semidirect
692. #14524000	C₂³	semidirect
693. #14524000	C₂³	semidirect
696. C₂×C₄⋊Dic₆₇	C₂³	semidirect
697. C₂×C₄⋊Dic₆₇	C₂³	semidirect
698. C₂×C₄⋊Dic₆₇	C₂³	semidirect
706. C₄⋊C₄×D₆₇	C₂³	semidirect
707. C₄⋊C₄×D₆₇	C₂³	semidirect
708. C₄⋊C₄×D₆₇	C₂³	semidirect
709. C₄⋊C₄×D₆₇	C₂³	semidirect
710. C₄⋊C₄×D₆₇	C₂³	semidirect
711. C₄⋊C₄×D₆₇	C₂³	semidirect
717. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
718. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
719. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
731. C₂²⋊C₄×D₆₇	C₂³	semidirect
732. C₂²⋊C₄×D₆₇	C₂³	semidirect
733. C₂²⋊C₄×D₆₇	C₂³	semidirect
734. C₂²⋊C₄×D₆₇	C₂³	semidirect
735. C₂²⋊C₄×D₆₇	C₂³	semidirect
747. C₄²×D₆₇	C₂³	semidirect
748. C₄²×D₆₇	C₂³	semidirect
749. C₄²×D₆₇	C₂³	semidirect
754. C₄⋊Q₈×C₆₇	C₂³	semidirect
755. C₄⋊Q₈×C₆₇	C₂³	semidirect
756. #126×C₆₇	C₂³	semidirect
757. #126×C₆₇	C₂³	semidirect
758. #126×C₆₇	C₂³	semidirect
759. #125×C₆₇	C₂³	semidirect
760. #125×C₆₇	C₂³	semidirect
761. #125×C₆₇	C₂³	semidirect
763. #124×C₆₇	C₂³	semidirect
766. #123×C₆₇	C₂³	semidirect
767. #123×C₆₇	C₂³	semidirect
770. C₂²⋊Q₈×C₆₇	C₂³	semidirect
771. C₂²⋊Q₈×C₆₇	C₂³	semidirect
772. C₂²⋊Q₈×C₆₇	C₂³	semidirect
773. C₂²⋊Q₈×C₆₇	C₂³	semidirect
776. #121×C₆₇	C₂³	semidirect
777. #121×C₆₇	C₂³	semidirect
779. C₄×Q₈×C₆₇	C₂³	semidirect
780. C₄×Q₈×C₆₇	C₂³	semidirect
781. C₄×Q₈×C₆₇	C₂³	semidirect
782. C₄×Q₈×C₆₇	C₂³	semidirect
783. C₄×Q₈×C₆₇	C₂³	semidirect
793. C₄×D₄×C₆₇	C₂³	semidirect
794. C₄×D₄×C₆₇	C₂³	semidirect
795. C₄×D₄×C₆₇	C₂³	semidirect
796. C₄×D₄×C₆₇	C₂³	semidirect
797. C₄×D₄×C₆₇	C₂³	semidirect
801. #117×C₆₇	C₂³	semidirect
802. #117×C₆₇	C₂³	semidirect
803. #117×C₆₇	C₂³	semidirect
804. #117×C₆₇	C₂³	semidirect
805. #117×C₆₇	C₂³	semidirect
806. #117×C₆₇	C₂³	semidirect
808. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
809. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
813. C₂×C₄²×C₆₇	C₂³	semidirect
814. C₂×C₄²×C₆₇	C₂³	semidirect
901. D₄×D₆₇	#41	semidirect
1170. C₂²×D₆₇	C₂×#41	semidirect
1186. D₄×C₆₇	C₂×#41	semidirect
1199. C₂×C₄×C₆₇	H(5,𝔽₂)	semidirect
1228. C₂²⋊D₆₇	C₂×#41	semidirect
1267. D₂₆₈	C₂×#41	semidirect
1303. C₄×D₆₇	C₂×#41	semidirect
1412. #3475	D₆₇	semidirect
1424. C₆₇	#62773	semidirect
1435. #556	C₂×D₆₇	semidirect
1438. #555	C₂×D₆₇	semidirect
1447. #554	C₂×D₆₇	semidirect
1461. #553	C₂×D₆₇	semidirect
1467. #552	C₂×D₆₇	semidirect
1468. #552	C₂×D₆₇	semidirect
1480. #551	C₂×D₆₇	semidirect
1499. #547	C₂×D₆₇	semidirect
1520. #546	C₂×D₆₇	semidirect
1563. #533	C₂×D₆₇	semidirect
1592. #529	C₂×D₆₇	semidirect
1593. #529	C₂×D₆₇	semidirect
1624. #525	C₂×D₆₇	semidirect
1656. C₄×#41	C₂×D₆₇	semidirect
1657. C₄×#41	C₂×D₆₇	semidirect
1682. C₂×C₄×D₄	C₂×D₆₇	semidirect
1684. C₂×#117	C₂×D₆₇	semidirect
1759. C₄⋊Q₈	C₂²×D₆₇	semidirect
1760. C₄⋊Q₈	C₂²×D₆₇	semidirect
1781. #126	C₂²×D₆₇	semidirect
1782. #126	C₂²×D₆₇	semidirect
1783. #126	C₂²×D₆₇	semidirect
1795. #125	C₂²×D₆₇	semidirect
1796. #125	C₂²×D₆₇	semidirect
1797. #125	C₂²×D₆₇	semidirect
1815. #124	C₂²×D₆₇	semidirect
1855. #123	C₂²×D₆₇	semidirect
1856. #123	C₂²×D₆₇	semidirect
1898. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1899. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1900. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1901. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1955. #121	C₂²×D₆₇	semidirect
1956. #121	C₂²×D₆₇	semidirect
1992. C₄×Q₈	C₂²×D₆₇	semidirect
1993. C₄×Q₈	C₂²×D₆₇	semidirect
1994. C₄×Q₈	C₂²×D₆₇	semidirect
1995. C₄×Q₈	C₂²×D₆₇	semidirect
1996. C₄×Q₈	C₂²×D₆₇	semidirect
2105. C₄×D₄	C₂²×D₆₇	semidirect
2106. C₄×D₄	C₂²×D₆₇	semidirect
2107. C₄×D₄	C₂²×D₆₇	semidirect
2108. C₄×D₄	C₂²×D₆₇	semidirect
2109. C₄×D₄	C₂²×D₆₇	semidirect
2135. #117	C₂²×D₆₇	semidirect
2136. #117	C₂²×D₆₇	semidirect
2137. #117	C₂²×D₆₇	semidirect
2138. #117	C₂²×D₆₇	semidirect
2139. #117	C₂²×D₆₇	semidirect
2140. #117	C₂²×D₆₇	semidirect
2159. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2160. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2202. C₂×C₄²	C₂²×D₆₇	semidirect
2203. C₂×C₄²	C₂²×D₆₇	semidirect
2614. D₄	#41×D₆₇	semidirect
2685. C₂×C₄	#14524089	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#22574257	2
#22574255	2
#22574249	2
#22574244	2
#22574242	2
#22574234	2
#22574154	2
#22574150	2
#22574136	2
#22574062	2
#22574051	2
#22574049	2
#22574038	2
#22574006	2
#22573967	2
#22573909	2
#22573893	2
#22573839	2
#22573819	2
#22573815	2
#22573776	2
#22573763	2
#41×D₂₆₈	2
D₄×#11761628	2
#22573692	2
#22573630	2
#22573619	2
#22573506	2
#22573502	2
C₂×#16863908	2
#525×D₆₇	2
C₄×#14524089	2
C₂×C₄×D₄×D₆₇	2
C₆₇×#3475	2
#62773	67