Subgroups — #3520×D₆₇ #31763830

Order 17152.

7910 conjugacy classes of subgroups.

The subgroup lattice has 2740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574261	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574260	C₂	1	1	yes	maximal, characteristic, complemented
3	#22574259	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574258	C₂	1	1	yes	maximal, characteristic, complemented
5	#22574257	C₂	1	1	yes	maximal, characteristic, complemented
6	#22574256	C₂	1	2	yes	maximal, complemented
7	#22574255	C₂	1	2	yes	maximal, complemented
8	#22574254	C₂	1	2	yes	maximal, complemented
9	#22574253	C₂	1	1	yes	maximal, characteristic, complemented
10	#22574252	C₂	1	2	yes	maximal, complemented
11	#22574251	C₂	1	2	yes	maximal, complemented
12	#22574250	C₂	1	4	yes	maximal, complemented
13	#22574249	C₂	1	1	yes	maximal, characteristic, complemented
14	#22574248	C₂	1	2	yes	maximal, complemented
15	#22574247	C₂	1	4	yes	maximal, complemented
16	#22574246	C₂	1	2	yes	maximal, complemented
17	#22574245	C₂	1	2	yes	maximal, complemented
18	#556×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
19	#554×D₆₇	C₂	1	2	yes	maximal, complemented
20	#552×D₆₇	C₂	1	2	yes	maximal, complemented
21	#551×D₆₇	C₂	1	4	yes	maximal, complemented
22	D₄×Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
23	#548×D₆₇	C₂	1	2	yes	maximal, complemented
24	#547×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	#547×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
26	#546×D₆₇	C₂	1	2	yes	maximal, complemented
27	#542×D₆₇	C₂	1	2	yes	maximal, complemented
28	#539×D₆₇	C₂	1	4	yes	maximal, complemented
29	#533×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#529×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	#525×D₆₇	C₂	1	2	yes	maximal, complemented
32	C₂×C₂²⋊Q₈×D₆₇	C₂	1	2	yes	maximal, complemented
33	#520×D₆₇	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
35	C₆₇×#3520	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₆₇	C₂²	1	2	yes	—
37	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
38	C₂²×Q₈×D₆₇	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₆₇	C₂²	1	2	yes	—
41	#16864120	C₂²	1	1	yes	characteristic, complemented
42	#16864119	C₂²	1	1	yes	characteristic, complemented
43	#16864118	C₂²	1	2	yes	complemented
44	#16864117	C₂²	1	2	yes	complemented
45	#16864116	C₂²	1	1	yes	characteristic, complemented
46	#16864115	C₂²	1	2	yes	complemented
47	#16864114	C₂²	1	2	yes	complemented
48	#16864113	C₂²	1	4	yes	complemented
49	#16864107	C₂²	1	2	yes	complemented
50	#16864106	C₂²	1	2	yes	complemented
51	#16864105	C₂²	1	4	yes	complemented
52	#16864104	C₂²	1	2	yes	complemented
53	#16864104	C₂²	1	2	yes	complemented
54	#16864103	C₂²	1	2	yes	complemented
55	#16864102	C₂²	1	4	yes	complemented
56	#16864101	C₂²	1	2	yes	complemented
57	#16864101	C₂²	1	2	yes	complemented
58	#16864100	C₂²	1	4	yes	complemented
59	#16864100	C₂²	1	4	yes	complemented
60	#16864088	C₂²	1	2	yes	complemented
61	#16864087	C₂²	1	2	yes	complemented
62	#16864086	C₂²	1	2	yes	complemented
63	#16864085	C₂²	1	2	yes	complemented
64	#16864084	C₂²	1	2	yes	complemented
65	#16864083	C₂²	1	4	yes	complemented
66	#16864082	C₂²	1	4	yes	complemented
67	#16864081	C₂²	1	2	yes	complemented
68	#16864080	C₂²	1	2	yes	complemented
69	#16864079	C₂²	1	4	yes	complemented
70	#16864078	C₂²	1	4	yes	complemented
71	#16864077	C₂²	1	4	yes	complemented
72	#16864076	C₂²	1	4	yes	complemented
73	#16864075	C₂²	1	4	yes	complemented
74	#16864075	C₂²	1	4	yes	complemented
75	#16864074	C₂²	1	4	yes	complemented
76	#16864073	C₂²	1	4	yes	complemented
77	#16864073	C₂²	1	4	yes	complemented
78	#16864072	C₂²	1	4	yes	complemented
79	#16864072	C₂²	1	4	yes	complemented
80	#16864071	C₂²	1	4	yes	complemented
81	#16864071	C₂²	1	4	yes	complemented
82	#16864070	C₂²	1	4	yes	complemented
83	#16864070	C₂²	1	4	yes	complemented
84	#16864069	C₂²	1	4	yes	complemented
85	#16864069	C₂²	1	4	yes	complemented
86	Q₈×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
87	D₄×Dic₁₃₄	C₂²	1	2	yes	complemented
88	D₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
89	#16864061	C₂²	1	1	yes	characteristic, complemented
90	#16864061	C₂²	1	2	yes	complemented
91	Q₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
92	#16864059	C₂²	1	2	yes	complemented
93	#16864059	C₂²	1	4	yes	complemented
94	#16864058	C₂²	1	2	yes	complemented
95	#16864057	C₂²	1	2	yes	complemented
96	#16864056	C₂²	1	2	yes	complemented
97	#16864056	C₂²	1	4	yes	complemented
98	#16864055	C₂²	1	2	yes	complemented
99	#16864055	C₂²	1	4	yes	complemented
100	#16864054	C₂²	1	4	yes	complemented
101	#16864054	C₂²	1	2	yes	complemented
102	#16864053	C₂²	1	2	yes	complemented
103	#16864052	C₂²	1	4	yes	complemented
104	#16864052	C₂²	1	2	yes	complemented
105	#16864051	C₂²	1	1	yes	characteristic, complemented
106	#16864051	C₂²	1	1	yes	characteristic, complemented
107	#16864050	C₂²	1	1	yes	characteristic, complemented
108	#16864050	C₂²	1	1	yes	characteristic, complemented
109	#16864049	C₂²	1	1	yes	characteristic, complemented
110	#16864049	C₂²	1	1	yes	characteristic, complemented
111	#16864048	C₂²	1	2	yes	complemented
112	#16864048	C₂²	1	2	yes	complemented
113	#16864047	C₂²	1	2	yes	complemented
114	#16864047	C₂²	1	2	yes	complemented
115	#16864046	C₂²	1	2	yes	complemented
116	#16864046	C₂²	1	2	yes	complemented
117	#16864045	C₂²	1	2	yes	complemented
118	#16864045	C₂²	1	2	yes	complemented
119	#16864044	C₂²	1	4	yes	complemented
120	#16864044	C₂²	1	4	yes	complemented
121	#16864043	C₂²	1	2	yes	complemented
122	#16864042	C₂²	1	2	yes	complemented
123	#16864041	C₂²	1	2	yes	complemented
124	#16864040	C₂²	1	2	yes	complemented
125	#16864039	C₂²	1	2	yes	complemented
126	#16864038	C₂²	1	4	yes	complemented
127	#16864037	C₂²	1	2	yes	complemented
128	#16864036	C₂²	1	4	yes	complemented
129	#16864035	C₂²	1	4	yes	complemented
130	#16864034	C₂²	1	2	yes	complemented
131	#16864033	C₂²	1	4	yes	complemented
132	#16864020	C₂²	1	2	yes	complemented
133	#16864019	C₂²	1	2	yes	complemented
134	#16864018	C₂²	1	2	yes	complemented
135	#16864017	C₂²	1	2	yes	complemented
136	#16864016	C₂²	1	4	yes	complemented
137	#16864015	C₂²	1	2	yes	complemented
138	#16864014	C₂²	1	4	yes	complemented
139	#16864013	C₂²	1	2	yes	complemented
140	#16864012	C₂²	1	4	yes	complemented
141	#16864011	C₂²	1	2	yes	complemented
142	#16864010	C₂²	1	4	yes	complemented
143	#16863995	C₂²	1	4	yes	complemented
144	#16863994	C₂²	1	4	yes	complemented
145	#16863994	C₂²	1	4	yes	complemented
146	#16863993	C₂²	1	4	yes	complemented
147	#16863992	C₂²	1	4	yes	complemented
148	#16863992	C₂²	1	4	yes	complemented
149	#16863991	C₂²	1	4	yes	complemented
150	#16863990	C₂²	1	4	yes	complemented
151	#16863990	C₂²	1	4	yes	complemented
152	#16863989	C₂²	1	4	yes	complemented
153	#16863989	C₂²	1	4	yes	complemented
154	#16863988	C₂²	1	4	yes	complemented
155	#16863988	C₂²	1	4	yes	complemented
156	#16863987	C₂²	1	4	yes	complemented
157	#16863987	C₂²	1	4	yes	complemented
158	#16863953	C₂²	1	1	yes	characteristic, complemented
159	#16863952	C₂²	1	2	yes	complemented
160	#16863951	C₂²	1	1	yes	characteristic, complemented
161	#16863951	C₂²	1	1	yes	characteristic, complemented
162	#16863950	C₂²	1	2	yes	complemented
163	#16863950	C₂²	1	2	yes	complemented
164	#16863949	C₂²	1	2	yes	complemented
165	#16863948	C₂²	1	2	yes	complemented
166	#16863948	C₂²	1	2	yes	complemented
167	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
168	C₄⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
169	C₄⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
170	#16863933	C₂²	1	1	yes	characteristic, complemented
171	#16863932	C₂²	1	1	yes	characteristic, complemented
172	#16863931	C₂²	1	1	yes	characteristic, complemented
173	#16863930	C₂²	1	1	yes	characteristic, complemented
174	#16863929	C₂²	1	2	yes	complemented
175	#16863928	C₂²	1	1	yes	characteristic, complemented
176	#16863927	C₂²	1	1	yes	characteristic, complemented
177	#16863926	C₂²	1	2	yes	complemented
178	#16863925	C₂²	1	1	yes	characteristic, complemented
179	#16863924	C₂²	1	2	yes	complemented
180	#16863923	C₂²	1	2	yes	complemented
181	#126×D₆₇	C₂²	1	4	yes	complemented
182	#126×D₆₇	C₂²	1	4	yes	complemented
183	#126×D₆₇	C₂²	1	2	yes	complemented
184	#125×D₆₇	C₂²	1	1	yes	characteristic, complemented
185	#125×D₆₇	C₂²	1	4	yes	complemented
186	#125×D₆₇	C₂²	1	2	yes	complemented
187	#124×D₆₇	C₂²	1	2	yes	—
188	#124×D₆₇	C₂²	1	4	yes	complemented
189	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
190	#16863909	C₂²	1	2	yes	complemented
191	#16863909	C₂²	1	2	yes	complemented
192	#16863908	C₂²	1	2	yes	complemented
193	#16863907	C₂²	1	2	yes	complemented
194	#16863906	C₂²	1	2	yes	complemented
195	#16863906	C₂²	1	2	yes	complemented
196	#16863905	C₂²	1	4	yes	complemented
197	#16863905	C₂²	1	4	yes	complemented
198	#16863904	C₂²	1	4	yes	complemented
199	#16863903	C₂²	1	2	yes	complemented
200	#16863902	C₂²	1	4	yes	complemented
201	#123×D₆₇	C₂²	1	4	yes	—
202	#123×D₆₇	C₂²	1	2	yes	—
203	#123×D₆₇	C₂²	1	4	yes	complemented
204	#123×D₆₇	C₂²	1	4	yes	complemented
205	#123×D₆₇	C₂²	1	4	yes	complemented
206	C₂×#14524023	C₂²	1	2	yes	complemented
207	C₂×#14524022	C₂²	1	2	yes	complemented
208	C₂×#14524021	C₂²	1	4	yes	complemented
209	C₂×#14524020	C₂²	1	4	yes	complemented
210	C₂×#14524019	C₂²	1	2	yes	complemented
211	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	—
212	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic
213	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	—
214	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	—
215	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
216	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
217	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
218	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
219	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
220	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
221	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
222	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
223	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
224	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
225	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
226	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
228	#121×D₆₇	C₂²	1	2	yes	—
229	#121×D₆₇	C₂²	1	4	yes	—
230	#121×D₆₇	C₂²	1	1	yes	characteristic
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	#120×D₆₇	C₂²	1	4	yes	—
233	#16863879	C₂²	1	2	yes	complemented
234	#16863878	C₂²	1	2	yes	complemented
235	#16863878	C₂²	1	2	yes	complemented
236	#16863877	C₂²	1	4	yes	complemented
237	#16863877	C₂²	1	2	yes	complemented
238	#16863876	C₂²	1	4	yes	complemented
239	#16863876	C₂²	1	2	yes	complemented
240	#16863875	C₂²	1	2	yes	complemented
241	#16863875	C₂²	1	2	yes	complemented
242	#16863875	C₂²	1	4	yes	complemented
243	#16863875	C₂²	1	4	yes	complemented
244	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
245	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
246	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
247	C₄×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
248	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
249	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
250	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
252	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
253	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
254	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
255	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
256	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
257	C₄×D₄×D₆₇	C₂²	1	2	yes	—
258	C₄×D₄×D₆₇	C₂²	1	2	yes	—
259	C₄×D₄×D₆₇	C₂²	1	2	yes	—
260	C₄×D₄×D₆₇	C₂²	1	2	yes	—
261	C₄×D₄×D₆₇	C₂²	1	4	yes	—
262	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
263	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
264	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
265	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
266	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
268	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
269	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
270	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
271	#117×D₆₇	C₂²	1	2	yes	—
272	#117×D₆₇	C₂²	1	2	yes	complemented
273	#117×D₆₇	C₂²	1	4	yes	complemented
274	#117×D₆₇	C₂²	1	2	yes	complemented
275	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
276	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
277	C₂×C₄⋊C₄×D₆₇	C₂²	1	4	yes	complemented
278	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
279	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
280	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	—
281	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
282	#556×C₆₇	C₂²	1	1	yes	characteristic, complemented
283	#554×C₆₇	C₂²	1	2	yes	complemented
284	#552×C₆₇	C₂²	1	2	yes	complemented
285	#551×C₆₇	C₂²	1	4	yes	complemented
286	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
287	#548×C₆₇	C₂²	1	2	yes	complemented
288	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
289	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
290	#546×C₆₇	C₂²	1	2	yes	complemented
291	#542×C₆₇	C₂²	1	2	yes	complemented
292	#539×C₆₇	C₂²	1	4	yes	complemented
293	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
294	#529×C₆₇	C₂²	1	1	yes	characteristic, complemented
295	#525×C₆₇	C₂²	1	2	yes	complemented
296	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	complemented
297	#520×C₆₇	C₂²	1	2	yes	complemented
298	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₆₇	C₂³	1	2	yes	—
300	C₂×#11761629	C₂³	1	2	yes	—
301	C₂×#11761629	C₂³	1	2	yes	complemented
302	C₂×#11761628	C₂³	1	4	yes	—
303	C₂×#11761628	C₂³	1	2	yes	—
304	C₂×#11761628	C₂³	1	4	yes	complemented
305	C₂×#11761628	C₂³	1	2	yes	complemented
306	C₂×#11761627	C₂³	1	4	yes	—
307	C₂×#11761627	C₂³	1	2	yes	—
308	C₂×#11761627	C₂³	1	4	yes	complemented
309	C₂×#11761627	C₂³	1	2	yes	complemented
310	#41×D₆₇	—	2	16	no	—
311	#41×D₆₇	—	4	8	no	—
312	C₂²×Dic₁₃₄	C₂³	1	4	yes	complemented
313	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
314	C₂×Q₈×D₆₇	—	4	8	no	—
315	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
316	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
317	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
318	C₂×Q₈×D₆₇	C₂³	1	4	yes	—
319	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
320	C₂×Q₈×D₆₇	C₂³	1	4	yes	complemented
321	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
322	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
324	C₂×D₄×D₆₇	—	2	8	no	—
325	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
326	C₂×D₄×D₆₇	C₂³	1	2	yes	—
327	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
328	C₂×D₄×D₆₇	C₂³	1	2	yes	—
329	C₂×D₄×D₆₇	C₂³	1	2	yes	—
330	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₆₇	C₂³	1	4	yes	—
332	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₆₇	C₂³	1	4	yes	—
334	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
335	C₂³×Dic₆₇	C₂³	1	2	yes	—
336	C₂²×C₄×D₆₇	—	4	8	no	—
337	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
341	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
342	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
343	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
344	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
345	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
346	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
347	C₂²×C₄×D₆₇	C₂³	1	4	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	#14524043	C₂³	1	2	yes	complemented
356	#14524043	C₂³	1	1	yes	characteristic, complemented
357	#14524043	C₂³	1	1	yes	characteristic, complemented
358	#14524042	C₂³	1	2	yes	complemented
359	#14524042	C₂³	1	4	yes	complemented
360	#14524042	C₂³	1	2	yes	complemented
361	#14524042	C₂³	1	2	yes	complemented
362	#14524042	C₂³	1	2	yes	complemented
363	#14524042	C₂³	1	2	yes	complemented
364	#14524042	C₂³	1	2	yes	complemented
365	#14524041	C₂³	1	4	yes	complemented
366	#14524041	C₂³	1	2	yes	complemented
367	#14524041	C₂³	1	2	yes	complemented
368	#14524038	C₂³	1	4	yes	complemented
369	#14524038	C₂³	1	4	yes	complemented
370	#14524038	C₂³	1	4	yes	complemented
371	#14524038	C₂³	1	4	yes	complemented
372	#14524038	C₂³	1	4	yes	complemented
373	#14524038	C₂³	1	4	yes	complemented
374	#14524038	C₂³	1	2	yes	complemented
375	#14524038	C₂³	1	2	yes	complemented
376	#14524038	C₂³	1	2	yes	complemented
377	#14524037	C₂³	1	4	yes	complemented
378	#14524037	C₂³	1	4	yes	complemented
379	#14524037	C₂³	1	2	yes	complemented
380	#14524036	C₂³	1	4	yes	complemented
381	#14524036	C₂³	1	4	yes	complemented
382	#14524036	C₂³	1	4	yes	complemented
383	#14524036	C₂³	1	4	yes	complemented
384	#14524036	C₂³	1	4	yes	complemented
385	#14524036	C₂³	1	4	yes	complemented
386	#14524036	C₂³	1	2	yes	complemented
387	#14524036	C₂³	1	2	yes	complemented
388	#14524036	C₂³	1	2	yes	complemented
389	#14524035	C₂³	1	4	yes	complemented
390	#14524035	C₂³	1	1	yes	characteristic, complemented
391	#14524035	C₂³	1	2	yes	complemented
392	#14524034	C₂³	1	1	yes	characteristic, complemented
393	#14524034	C₂³	1	4	yes	complemented
394	#14524034	C₂³	1	4	yes	complemented
395	#14524034	C₂³	1	1	yes	characteristic, complemented
396	#14524034	C₂³	1	2	yes	complemented
397	#14524034	C₂³	1	2	yes	complemented
398	#14524033	C₂³	1	2	yes	complemented
399	#14524033	C₂³	1	4	yes	complemented
400	#14524033	C₂³	1	2	yes	complemented
401	#14524033	C₂³	1	4	yes	complemented
402	#14524033	C₂³	1	4	yes	complemented
403	#14524033	C₂³	1	4	yes	complemented
404	#14524033	C₂³	1	4	yes	complemented
405	#14524033	C₂³	1	4	yes	complemented
406	#14524032	C₂³	1	2	yes	—
407	#14524032	C₂³	1	4	yes	complemented
408	#14524032	C₂³	1	1	yes	characteristic, complemented
409	#14524031	C₂³	1	2	yes	—
410	#14524031	C₂³	1	4	yes	complemented
411	#14524031	C₂³	1	1	yes	characteristic, complemented
412	#14524030	C₂³	1	2	yes	—
413	#14524030	C₂³	1	4	yes	complemented
414	#14524030	C₂³	1	1	yes	characteristic, complemented
415	#14524029	C₂³	1	4	yes	—
416	#14524029	C₂³	1	4	yes	—
417	#14524029	C₂³	1	4	yes	complemented
418	#14524029	C₂³	1	4	yes	complemented
419	#14524029	C₂³	1	4	yes	complemented
420	#14524029	C₂³	1	4	yes	complemented
421	#14524029	C₂³	1	2	yes	complemented
422	#14524029	C₂³	1	2	yes	complemented
423	#14524028	C₂³	1	4	yes	—
424	#14524028	C₂³	1	4	yes	—
425	#14524028	C₂³	1	2	yes	—
426	#14524028	C₂³	1	2	yes	—
427	#14524028	C₂³	1	4	yes	complemented
428	#14524028	C₂³	1	4	yes	complemented
429	#14524028	C₂³	1	4	yes	complemented
430	#14524028	C₂³	1	4	yes	complemented
431	#14524028	C₂³	1	4	yes	complemented
432	#14524028	C₂³	1	4	yes	complemented
433	#14524027	C₂³	1	4	yes	—
434	#14524027	C₂³	1	2	yes	—
435	#14524027	C₂³	1	4	yes	complemented
436	#14524027	C₂³	1	4	yes	complemented
437	#14524027	C₂³	1	4	yes	complemented
438	#14524026	C₂³	1	4	yes	—
439	#14524026	C₂³	1	2	yes	—
440	#14524026	C₂³	1	4	yes	complemented
441	#14524026	C₂³	1	4	yes	complemented
442	#14524026	C₂³	1	4	yes	complemented
443	#14524025	C₂³	1	4	yes	—
444	#14524025	C₂³	1	4	yes	—
445	#14524025	C₂³	1	2	yes	—
446	#14524025	C₂³	1	2	yes	—
447	#14524025	C₂³	1	4	yes	complemented
448	#14524025	C₂³	1	4	yes	complemented
449	#14524025	C₂³	1	4	yes	complemented
450	#14524025	C₂³	1	4	yes	complemented
451	#14524025	C₂³	1	4	yes	complemented
452	#14524025	C₂³	1	4	yes	complemented
453	#14524024	C₂³	1	4	yes	—
454	#14524024	C₂³	1	2	yes	—
455	#14524024	C₂³	1	4	yes	complemented
456	#14524024	C₂³	1	4	yes	complemented
457	#14524024	C₂³	1	4	yes	complemented
458	#14524023	C₂³	1	2	yes	—
459	#14524023	C₂³	1	4	yes	—
460	#14524023	C₂³	1	1	yes	characteristic
461	#14524023	C₂³	1	2	yes	—
462	#14524023	C₂³	1	2	yes	complemented
463	#14524023	C₂³	1	4	yes	complemented
464	#14524023	C₂³	1	2	yes	complemented
465	#14524023	C₂³	1	4	yes	complemented
466	#14524023	C₂³	1	2	yes	complemented
467	#14524023	C₂³	1	4	yes	complemented
468	#14524023	C₂³	1	2	yes	complemented
469	#14524022	C₂³	1	2	yes	—
470	#14524022	C₂³	1	4	yes	—
471	#14524022	C₂³	1	1	yes	characteristic
472	#14524022	C₂³	1	2	yes	—
473	#14524022	C₂³	1	4	yes	complemented
474	#14524022	C₂³	1	2	yes	complemented
475	#14524022	C₂³	1	2	yes	complemented
476	#14524022	C₂³	1	4	yes	complemented
477	#14524022	C₂³	1	2	yes	complemented
478	#14524022	C₂³	1	4	yes	complemented
479	#14524022	C₂³	1	2	yes	complemented
480	#14524021	C₂³	1	4	yes	—
481	#14524021	C₂³	1	4	yes	—
482	#14524021	C₂³	1	4	yes	—
483	#14524021	C₂³	1	2	yes	—
484	#14524021	C₂³	1	4	yes	—
485	#14524021	C₂³	1	4	yes	complemented
486	#14524021	C₂³	1	4	yes	complemented
487	#14524021	C₂³	1	4	yes	complemented
488	#14524021	C₂³	1	4	yes	complemented
489	#14524021	C₂³	1	4	yes	complemented
490	#14524021	C₂³	1	4	yes	complemented
491	#14524021	C₂³	1	4	yes	complemented
492	#14524021	C₂³	1	4	yes	complemented
493	#14524021	C₂³	1	4	yes	complemented
494	#14524021	C₂³	1	4	yes	complemented
495	#14524020	C₂³	1	4	yes	—
496	#14524020	C₂³	1	4	yes	—
497	#14524020	C₂³	1	4	yes	—
498	#14524020	C₂³	1	2	yes	—
499	#14524020	C₂³	1	4	yes	—
500	#14524020	C₂³	1	4	yes	complemented
501	#14524020	C₂³	1	4	yes	complemented
502	#14524020	C₂³	1	4	yes	complemented
503	#14524020	C₂³	1	4	yes	complemented
504	#14524020	C₂³	1	4	yes	complemented
505	#14524020	C₂³	1	4	yes	complemented
506	#14524020	C₂³	1	4	yes	complemented
507	#14524020	C₂³	1	4	yes	complemented
508	#14524020	C₂³	1	4	yes	complemented
509	#14524020	C₂³	1	4	yes	complemented
510	#14524019	C₂³	1	2	yes	—
511	#14524019	C₂³	1	4	yes	—
512	#14524019	C₂³	1	1	yes	characteristic
513	#14524019	C₂³	1	2	yes	—
514	#14524019	C₂³	1	4	yes	complemented
515	#14524019	C₂³	1	2	yes	complemented
516	#14524019	C₂³	1	2	yes	complemented
517	#14524019	C₂³	1	4	yes	complemented
518	#14524019	C₂³	1	2	yes	complemented
519	#14524019	C₂³	1	4	yes	complemented
520	#14524019	C₂³	1	2	yes	complemented
521	#14524018	C₂³	1	2	yes	—
522	#14524018	C₂³	1	4	yes	—
523	#14524018	C₂³	1	1	yes	characteristic
524	#14524018	C₂³	1	2	yes	complemented
525	#14524017	C₂³	1	2	yes	—
526	#14524017	C₂³	1	4	yes	—
527	#14524017	C₂³	1	1	yes	characteristic
528	#14524017	C₂³	1	2	yes	complemented
529	#14524016	C₂³	1	4	yes	—
530	#14524016	C₂³	1	4	yes	—
531	#14524016	C₂³	1	4	yes	—
532	#14524016	C₂³	1	2	yes	—
533	#14524016	C₂³	1	4	yes	complemented
534	#14524015	C₂³	1	4	yes	—
535	#14524015	C₂³	1	4	yes	—
536	#14524015	C₂³	1	4	yes	—
537	#14524015	C₂³	1	2	yes	—
538	#14524015	C₂³	1	4	yes	complemented
539	#14524014	C₂³	1	2	yes	—
540	#14524014	C₂³	1	4	yes	—
541	#14524014	C₂³	1	1	yes	characteristic
542	#14524014	C₂³	1	2	yes	complemented
543	#14524013	C₂³	1	4	yes	—
544	#14524013	C₂³	1	4	yes	—
545	#14524013	C₂³	1	4	yes	—
546	#14524012	C₂³	1	4	yes	—
547	#14524011	C₂³	1	4	yes	—
548	#14524011	C₂³	1	4	yes	—
549	#14524011	C₂³	1	4	yes	—
550	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
551	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
552	Q₈×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
553	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
554	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
555	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
556	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
557	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
558	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
559	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
560	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
561	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
562	#14524008	C₂³	1	2	yes	complemented
563	#14524008	C₂³	1	4	yes	complemented
564	#14524008	C₂³	1	4	yes	complemented
565	#14524008	C₂³	1	2	yes	complemented
566	#14524008	C₂³	1	2	yes	complemented
567	#14524008	C₂³	1	1	yes	characteristic, complemented
568	#14524008	C₂³	1	4	yes	complemented
569	#14524008	C₂³	1	2	yes	complemented
570	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
571	C₄×D₂₆₈	C₂³	1	2	yes	—
572	C₄×D₂₆₈	C₂³	1	2	yes	—
573	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
574	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
575	C₄×D₂₆₈	C₂³	1	2	yes	—
576	C₄×D₂₆₈	C₂³	1	4	yes	—
577	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
578	C₄×D₂₆₈	C₂³	1	2	yes	—
579	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
580	C₄×D₂₆₈	C₂³	1	4	yes	complemented
581	C₄×D₂₆₈	C₂³	1	4	yes	complemented
582	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
583	D₄×Dic₆₇	C₂³	1	2	yes	—
584	D₄×Dic₆₇	C₂³	1	2	yes	—
585	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
586	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
587	D₄×Dic₆₇	C₂³	1	2	yes	—
588	D₄×Dic₆₇	C₂³	1	4	yes	—
589	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
590	D₄×Dic₆₇	C₂³	1	2	yes	—
591	D₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
592	D₄×Dic₆₇	C₂³	1	4	yes	complemented
593	D₄×Dic₆₇	C₂³	1	4	yes	complemented
594	#14524005	C₂³	1	1	yes	characteristic
595	#14524005	C₂³	1	2	yes	—
596	#14524005	C₂³	1	2	yes	—
597	#14524005	C₂³	1	1	yes	characteristic
598	#14524005	C₂³	1	1	yes	characteristic
599	#14524005	C₂³	1	2	yes	—
600	#14524005	C₂³	1	4	yes	—
601	#14524005	C₂³	1	1	yes	characteristic
602	#14524005	C₂³	1	2	yes	—
603	#14524005	C₂³	1	1	yes	characteristic, complemented
604	#14524005	C₂³	1	4	yes	complemented
605	#14524005	C₂³	1	4	yes	complemented
606	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
607	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
608	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
609	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
610	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
611	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
612	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
613	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
614	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
615	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
616	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
617	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
618	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
619	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
620	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
621	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
622	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
623	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
624	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
625	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
626	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
627	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
628	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
629	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
630	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
631	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
632	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
633	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
634	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
635	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
636	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
637	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
638	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
639	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
640	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
641	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
642	#14524002	C₂³	1	2	yes	—
643	#14524002	C₂³	1	2	yes	complemented
644	#14524002	C₂³	1	4	yes	complemented
645	#14524002	C₂³	1	2	yes	complemented
646	#14524001	C₂³	1	2	yes	—
647	#14524001	C₂³	1	2	yes	—
648	#14524001	C₂³	1	2	yes	complemented
649	#14524001	C₂³	1	2	yes	complemented
650	#14524001	C₂³	1	4	yes	complemented
651	#14524001	C₂³	1	4	yes	complemented
652	#14524001	C₂³	1	2	yes	complemented
653	#14524001	C₂³	1	2	yes	complemented
654	#14524000	C₂³	1	4	yes	—
655	#14524000	C₂³	1	2	yes	complemented
656	#14524000	C₂³	1	2	yes	complemented
657	#14524000	C₂³	1	4	yes	complemented
658	#14524000	C₂³	1	4	yes	complemented
659	#14524000	C₂³	1	4	yes	complemented
660	#14523999	C₂³	1	4	yes	—
661	#14523999	C₂³	1	2	yes	complemented
662	#14523999	C₂³	1	2	yes	complemented
663	#14523999	C₂³	1	4	yes	complemented
664	#14523999	C₂³	1	4	yes	complemented
665	#14523999	C₂³	1	4	yes	complemented
666	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
667	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
668	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
669	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
670	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
671	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
672	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
673	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
674	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
675	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
676	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
677	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
678	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
679	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
680	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
681	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
682	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
683	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
684	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
685	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
686	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
687	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
688	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
689	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
690	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
691	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
692	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
693	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
694	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
695	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
696	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
697	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
698	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
699	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
700	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
701	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
702	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
703	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
704	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
705	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
706	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
707	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
708	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
709	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
710	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
711	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
712	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
713	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
714	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
715	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
716	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
717	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
718	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
719	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
720	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₆₇	C₂³	1	2	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	2	yes	—
726	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
728	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
729	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
730	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
731	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
732	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
733	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
734	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
735	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
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	—
748	C₄²×D₆₇	C₂³	1	4	yes	—
749	C₄²×D₆₇	C₂³	1	2	yes	—
750	C₂×#41×C₆₇	C₂³	1	2	yes	—
751	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
752	C₂²×Q₈×C₆₇	C₂³	1	2	yes	complemented
753	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
754	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
755	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
756	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
757	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
758	#126×C₆₇	C₂³	1	4	yes	complemented
759	#126×C₆₇	C₂³	1	4	yes	complemented
760	#126×C₆₇	C₂³	1	2	yes	complemented
761	#125×C₆₇	C₂³	1	4	yes	complemented
762	#125×C₆₇	C₂³	1	1	yes	characteristic, complemented
763	#125×C₆₇	C₂³	1	2	yes	complemented
764	#124×C₆₇	C₂³	1	2	yes	—
765	#124×C₆₇	C₂³	1	4	yes	complemented
766	#124×C₆₇	C₂³	1	1	yes	characteristic, complemented
767	#123×C₆₇	C₂³	1	4	yes	—
768	#123×C₆₇	C₂³	1	2	yes	—
769	#123×C₆₇	C₂³	1	4	yes	complemented
770	#123×C₆₇	C₂³	1	4	yes	complemented
771	#123×C₆₇	C₂³	1	4	yes	complemented
772	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
773	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
774	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
775	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
776	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
777	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
778	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
779	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
780	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
781	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
782	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
783	#121×C₆₇	C₂³	1	2	yes	—
784	#121×C₆₇	C₂³	1	4	yes	—
785	#121×C₆₇	C₂³	1	1	yes	characteristic
786	#121×C₆₇	C₂³	1	2	yes	complemented
787	#120×C₆₇	C₂³	1	4	yes	—
788	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
789	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
790	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
791	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
792	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
793	C₄×D₄×C₆₇	C₂³	1	2	yes	—
794	C₄×D₄×C₆₇	C₂³	1	2	yes	—
795	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
796	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
797	C₄×D₄×C₆₇	C₂³	1	2	yes	—
798	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
799	C₄×D₄×C₆₇	C₂³	1	2	yes	—
800	C₄×D₄×C₆₇	C₂³	1	4	yes	—
801	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
802	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
803	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
804	#117×C₆₇	C₂³	1	2	yes	—
805	#117×C₆₇	C₂³	1	2	yes	complemented
806	#117×C₆₇	C₂³	1	4	yes	complemented
807	#117×C₆₇	C₂³	1	2	yes	complemented
808	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
809	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
810	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
811	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	complemented
812	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
813	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
814	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
815	C₂³×D₆₇	—	2	8	no	—
816	C₂³×D₆₇	—	2	8	no	—
817	C₂³×D₆₇	—	4	4	no	—
818	C₂³×D₆₇	C₂⁴	1	2	yes	—
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	2	yes	—
824	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
825	#11761629	—	2	8	no	—
826	#11761629	—	4	4	no	—
827	#11761628	—	2	16	no	—
828	#11761628	—	2	8	no	—
829	#11761628	—	4	8	no	—
830	#11761628	—	4	4	no	—
831	#11761627	—	2	8	no	—
832	#11761627	—	2	16	no	—
833	#11761627	—	4	4	no	—
834	#11761627	—	4	8	no	—
835	C₂×Dic₁₃₄	—	4	8	no	—
836	C₂×Dic₁₃₄	—	4	4	no	—
837	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
838	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
839	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
840	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
841	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
842	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
843	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
844	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
845	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
846	Q₈×D₆₇	—	2	8	no	—
847	Q₈×D₆₇	—	2	4	no	—
848	Q₈×D₆₇	—	2	8	no	—
849	Q₈×D₆₇	—	4	8	no	—
850	Q₈×D₆₇	—	4	4	no	—
851	Q₈×D₆₇	—	4	4	no	—
852	Q₈×D₆₇	—	4	8	no	—
853	C₂×D₂₆₈	—	2	4	no	—
854	C₂×D₂₆₈	C₂⁴	1	2	yes	—
855	C₂×D₂₆₈	C₂⁴	1	2	yes	—
856	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
857	C₂×D₂₆₈	C₂⁴	1	4	yes	—
858	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
859	C₂×D₂₆₈	C₂⁴	1	4	yes	—
860	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
861	C₂×C₂²⋊D₆₇	—	2	8	no	—
862	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
873	D₄×D₆₇	—	2	8	no	—
874	D₄×D₆₇	—	2	16	no	—
875	D₄×D₆₇	—	2	8	no	—
876	D₄×D₆₇	—	2	4	no	—
877	D₄×D₆₇	—	2	8	no	—
878	D₄×D₆₇	—	2	4	no	—
879	D₄×D₆₇	—	2	4	no	—
880	D₄×D₆₇	—	2	4	no	—
881	D₄×D₆₇	—	4	8	no	—
882	D₄×D₆₇	#41	1	8	yes	complemented
883	C₂²×Dic₆₇	—	4	4	no	—
884	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
885	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
886	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
887	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
888	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
889	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
890	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
891	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
892	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
893	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
894	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
895	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
896	C₂×C₄×D₆₇	—	2	16	no	—
897	C₂×C₄×D₆₇	—	2	4	no	—
898	C₂×C₄×D₆₇	—	2	4	no	—
899	C₂×C₄×D₆₇	—	2	8	no	—
900	C₂×C₄×D₆₇	—	2	4	no	—
901	C₂×C₄×D₆₇	—	2	8	no	—
902	C₂×C₄×D₆₇	—	2	8	no	—
903	C₂×C₄×D₆₇	—	4	4	no	—
904	C₂×C₄×D₆₇	—	4	4	no	—
905	C₂×C₄×D₆₇	—	4	4	no	—
906	C₂×C₄×D₆₇	—	4	4	no	—
907	C₂×C₄×D₆₇	—	4	4	no	—
908	C₂×C₄×D₆₇	—	4	4	no	—
909	C₂×C₄×D₆₇	—	4	4	no	—
910	C₂×C₄×D₆₇	—	4	4	no	—
911	C₂×C₄×D₆₇	—	4	4	no	—
912	C₂×C₄×D₆₇	—	4	8	no	—
913	C₂×C₄×D₆₇	—	4	8	no	—
914	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
915	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
916	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
917	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
918	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
919	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
920	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
921	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
922	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
923	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
924	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
925	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
926	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
927	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
928	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
929	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
930	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
931	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
932	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
933	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
934	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
935	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
936	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
937	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
938	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
939	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
940	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
941	C₂×C₄×D₆₇	C₂⁴	1	4	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	4	yes	—
946	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
947	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
948	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
949	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
950	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
951	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
952	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
953	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
954	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
955	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
956	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
957	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
958	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
959	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
960	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
961	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
962	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
963	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
964	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
965	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
966	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
967	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
968	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
969	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
970	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
971	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
972	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
973	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
974	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
975	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
976	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
977	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
978	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
979	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
980	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
981	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
982	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
983	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
984	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
985	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
986	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
987	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
988	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
989	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
990	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
991	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
992	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
993	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
994	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
995	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
996	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
997	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
998	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
999	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
1000	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1001	C₂²⋊Dic₆₇	C₂⁴	1	4	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	4	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	4	yes	—
1012	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1013	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1014	C₂²⋊Dic₆₇	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	4	yes	—
1018	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	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	2	yes	—
1024	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1025	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1026	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1027	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1028	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	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	2	yes	—
1033	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	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	2	yes	—
1042	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1043	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1044	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1045	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1046	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1047	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1048	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1049	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1050	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1058	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1059	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1060	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1061	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1062	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1063	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1064	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1065	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1066	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
1067	#41×C₆₇	—	2	8	no	—
1068	#41×C₆₇	—	4	4	no	—
1069	C₂×Q₈×C₆₇	—	4	4	no	—
1070	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
1071	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
1072	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
1073	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
1074	C₂×D₄×C₆₇	—	2	4	no	—
1075	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1076	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1077	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1078	C₂×D₄×C₆₇	C₂⁴	1	4	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	C₂²×C₄×C₆₇	—	4	4	no	—
1083	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1084	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1085	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1086	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1087	C₂²×C₄×C₆₇	C₂⁴	1	2	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	4	yes	—
1092	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1093	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1094	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1095	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1096	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1097	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1098	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1099	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1100	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1101	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1102	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1103	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1104	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1105	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1106	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1107	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1108	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1109	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1110	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1111	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1112	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1113	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1114	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1115	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1116	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1117	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1118	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1119	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1120	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1121	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1122	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1123	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1124	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1125	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1126	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1127	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1128	C₂²⋊C₄×C₆₇	C₂⁴	1	2	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	4	yes	—
1134	C₄²×C₆₇	C₂⁴	1	4	yes	—
1135	C₄²×C₆₇	C₂⁴	1	2	yes	—
1136	C₂³×C₆₇	—	2	4	no	—
1137	C₂³×C₆₇	—	2	4	no	—
1138	C₂³×C₆₇	—	4	2	no	—
1139	C₂³×C₆₇	C₂⁵	1	2	yes	—
1140	C₂³×C₆₇	C₂⁵	1	2	yes	—
1141	C₂³×C₆₇	C₂⁵	1	2	yes	—
1142	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1143	C₂²×D₆₇	—	2	2	no	—
1144	C₂²×D₆₇	—	2	4	no	—
1145	C₂²×D₆₇	—	2	2	no	—
1146	C₂²×D₆₇	—	2	4	no	—
1147	C₂²×D₆₇	—	2	4	no	—
1148	C₂²×D₆₇	—	2	4	no	—
1149	C₂²×D₆₇	—	2	4	no	—
1150	C₂²×D₆₇	—	2	4	no	—
1151	C₂²×D₆₇	—	2	4	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	4	no	—
1158	C₂²×D₆₇	—	2	4	no	—
1159	C₂²×D₆₇	—	4	2	no	—
1160	C₂²×D₆₇	—	4	2	no	—
1161	C₂²×D₆₇	—	4	2	no	—
1162	C₂²×D₆₇	—	4	32	no	—
1163	C₂²×D₆₇	C₂×#41	1	8	yes	—
1164	C₂²×D₆₇	2₋¹⁺⁴	1	4	yes	—
1165	C₂²×D₆₇	C₂⁵	1	2	yes	—
1166	C₂²×D₆₇	C₂⁵	1	2	yes	—
1167	C₂²×D₆₇	C₂⁵	1	2	yes	—
1168	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1169	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1170	Q₈×C₆₇	—	2	4	no	—
1171	Q₈×C₆₇	—	2	2	no	—
1172	Q₈×C₆₇	—	2	4	no	—
1173	Q₈×C₆₇	—	4	4	no	—
1174	D₄×C₆₇	—	2	4	no	—
1175	D₄×C₆₇	—	2	8	no	—
1176	D₄×C₆₇	—	2	4	no	—
1177	D₄×C₆₇	—	2	2	no	—
1178	D₄×C₆₇	—	2	2	no	—
1179	D₄×C₆₇	—	4	4	no	—
1180	D₄×C₆₇	C₂×#41	1	4	yes	complemented
1181	C₂×C₄×C₆₇	—	2	8	no	—
1182	C₂×C₄×C₆₇	—	2	2	no	—
1183	C₂×C₄×C₆₇	—	2	2	no	—
1184	C₂×C₄×C₆₇	—	2	4	no	—
1185	C₂×C₄×C₆₇	—	2	2	no	—
1186	C₂×C₄×C₆₇	—	2	4	no	—
1187	C₂×C₄×C₆₇	—	2	4	no	—
1188	C₂×C₄×C₆₇	—	4	2	no	—
1189	C₂×C₄×C₆₇	—	4	2	no	—
1190	C₂×C₄×C₆₇	—	4	2	no	—
1191	C₂×C₄×C₆₇	—	4	4	no	—
1192	C₂×C₄×C₆₇	—	4	4	no	—
1193	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1194	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1195	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1196	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1197	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1198	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1199	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1200	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1201	C₂×C₄×C₆₇	C₂⁵	1	4	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	1	yes	characteristic
1206	C₂²⋊D₆₇	—	2	4	no	—
1207	C₂²⋊D₆₇	—	2	8	no	—
1208	C₂²⋊D₆₇	—	2	4	no	—
1209	C₂²⋊D₆₇	—	2	4	no	—
1210	C₂²⋊D₆₇	—	2	8	no	—
1211	C₂²⋊D₆₇	—	2	4	no	—
1212	C₂²⋊D₆₇	—	2	4	no	—
1213	C₂²⋊D₆₇	—	2	4	no	—
1214	C₂²⋊D₆₇	—	4	4	no	—
1215	C₂²⋊D₆₇	—	4	4	no	—
1216	C₂²⋊D₆₇	C₂×#41	1	8	yes	complemented
1217	C₂×Dic₆₇	—	2	8	no	—
1218	C₂×Dic₆₇	—	2	2	no	—
1219	C₂×Dic₆₇	—	2	2	no	—
1220	C₂×Dic₆₇	—	2	4	no	—
1221	C₂×Dic₆₇	—	2	2	no	—
1222	C₂×Dic₆₇	—	2	4	no	—
1223	C₂×Dic₆₇	—	2	4	no	—
1224	C₂×Dic₆₇	—	4	2	no	—
1225	C₂×Dic₆₇	—	4	2	no	—
1226	C₂×Dic₆₇	—	4	2	no	—
1227	C₂×Dic₆₇	—	4	4	no	—
1228	C₂×Dic₆₇	—	4	4	no	—
1229	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1230	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1231	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1232	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1233	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1234	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1235	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1236	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1237	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1238	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1239	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1240	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1241	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1242	D₂₆₈	—	2	4	no	—
1243	D₂₆₈	—	2	8	no	—
1244	D₂₆₈	—	2	4	no	—
1245	D₂₆₈	—	2	2	no	—
1246	D₂₆₈	—	2	2	no	—
1247	D₂₆₈	—	4	4	no	—
1248	D₂₆₈	C₂×#41	1	4	yes	complemented
1249	C₄×D₆₇	—	2	4	no	—
1250	C₄×D₆₇	—	2	2	no	—
1251	C₄×D₆₇	—	2	8	no	—
1252	C₄×D₆₇	—	2	8	no	—
1253	C₄×D₆₇	—	2	8	no	—
1254	C₄×D₆₇	—	2	2	no	—
1255	C₄×D₆₇	—	2	4	no	—
1256	C₄×D₆₇	—	2	4	no	—
1257	C₄×D₆₇	—	2	8	no	—
1258	C₄×D₆₇	—	2	4	no	—
1259	C₄×D₆₇	—	2	2	no	—
1260	C₄×D₆₇	—	2	2	no	—
1261	C₄×D₆₇	—	2	2	no	—
1262	C₄×D₆₇	—	2	2	no	—
1263	C₄×D₆₇	—	2	4	no	—
1264	C₄×D₆₇	—	2	2	no	—
1265	C₄×D₆₇	—	2	4	no	—
1266	C₄×D₆₇	—	2	2	no	—
1267	C₄×D₆₇	—	2	4	no	—
1268	C₄×D₆₇	—	2	4	no	—
1269	C₄×D₆₇	—	2	2	no	—
1270	C₄×D₆₇	—	2	4	no	—
1271	C₄×D₆₇	—	2	2	no	—
1272	C₄×D₆₇	—	2	4	no	—
1273	C₄×D₆₇	—	2	4	no	—
1274	C₄×D₆₇	—	4	2	no	—
1275	C₄×D₆₇	—	4	2	no	—
1276	C₄×D₆₇	—	4	2	no	—
1277	C₄×D₆₇	—	4	2	no	—
1278	C₄×D₆₇	—	4	2	no	—
1279	C₄×D₆₇	—	4	2	no	—
1280	C₄×D₆₇	—	4	4	no	—
1281	C₄×D₆₇	—	4	4	no	—
1282	C₄×D₆₇	—	4	4	no	—
1283	C₄×D₆₇	—	4	4	no	—
1284	C₄×D₆₇	C₂×#41	1	4	yes	—
1285	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1286	Dic₁₃₄	—	2	4	no	—
1287	Dic₁₃₄	—	2	2	no	—
1288	Dic₁₃₄	—	2	4	no	—
1289	Dic₁₃₄	—	2	8	no	—
1290	Dic₁₃₄	—	2	4	no	—
1291	Dic₁₃₄	—	2	8	no	—
1292	Dic₁₃₄	—	4	4	no	—
1293	Dic₁₃₄	—	4	4	no	—
1294	Dic₁₃₄	—	4	4	no	—
1295	C₂²×C₆₇	—	2	1	no	—
1296	C₂²×C₆₇	—	2	2	no	—
1297	C₂²×C₆₇	—	2	1	no	—
1298	C₂²×C₆₇	—	2	2	no	—
1299	C₂²×C₆₇	—	2	2	no	—
1300	C₂²×C₆₇	—	2	2	no	—
1301	C₂²×C₆₇	—	2	2	no	—
1302	C₂²×C₆₇	—	2	2	no	—
1303	C₂²×C₆₇	—	2	2	no	—
1304	C₂²×C₆₇	—	2	2	no	—
1305	C₂²×C₆₇	—	4	8	no	—
1306	C₂²×C₆₇	C₂²×#41	1	4	yes	—
1307	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1308	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1309	C₂×D₆₇	—	2	1	no	—
1310	C₂×D₆₇	—	2	2	no	—
1311	C₂×D₆₇	—	2	1	no	—
1312	C₂×D₆₇	—	2	2	no	—
1313	C₂×D₆₇	—	2	8	no	—
1314	C₂×D₆₇	—	2	16	no	—
1315	C₂×D₆₇	—	2	2	no	—
1316	C₂×D₆₇	—	2	2	no	—
1317	C₂×D₆₇	—	2	2	no	—
1318	C₂×D₆₇	—	2	2	no	—
1319	C₂×D₆₇	—	2	2	no	—
1320	C₂×D₆₇	—	2	2	no	—
1321	C₂×D₆₇	—	4	8	no	—
1322	C₂×D₆₇	—	4	8	no	—
1323	C₂×D₆₇	—	4	8	no	—
1324	C₂×D₆₇	—	4	8	no	—
1325	C₂×D₆₇	—	4	8	no	—
1326	C₂×D₆₇	C₂²×#41	1	4	yes	—
1327	C₂×D₆₇	C₂²×#41	1	2	yes	—
1328	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1329	C₂×D₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1330	C₂×D₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1331	C₄×C₆₇	—	2	4	no	—
1332	C₄×C₆₇	—	2	2	no	—
1333	C₄×C₆₇	—	2	1	no	—
1334	C₄×C₆₇	—	2	2	no	—
1335	C₄×C₆₇	—	2	4	no	—
1336	C₄×C₆₇	—	2	2	no	—
1337	C₄×C₆₇	—	2	1	no	—
1338	C₄×C₆₇	—	2	2	no	—
1339	C₄×C₆₇	—	2	1	no	—
1340	C₄×C₆₇	—	2	1	no	—
1341	C₄×C₆₇	—	2	2	no	—
1342	C₄×C₆₇	C₂²×#41	1	2	yes	—
1343	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1344	Dic₆₇	—	2	4	no	—
1345	Dic₆₇	—	2	2	no	—
1346	Dic₆₇	—	2	1	no	—
1347	Dic₆₇	—	2	2	no	—
1348	Dic₆₇	—	2	4	no	—
1349	Dic₆₇	—	2	2	no	—
1350	Dic₆₇	—	2	1	no	—
1351	Dic₆₇	—	2	2	no	—
1352	Dic₆₇	—	2	1	no	—
1353	Dic₆₇	—	2	1	no	—
1354	Dic₆₇	—	2	2	no	—
1355	Dic₆₇	C₂²×#41	1	2	yes	—
1356	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1357	C₂×#3520	—	67	1	no	maximal, Sylow
1358	C₂×C₆₇	—	2	2	no	—
1359	C₂×C₆₇	—	2	4	no	—
1360	C₂×C₆₇	—	4	2	no	—
1361	C₂×C₆₇	—	4	2	no	—
1362	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
1363	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1364	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1365	D₆₇	—	2	2	no	—
1366	D₆₇	—	2	4	no	—
1367	D₆₇	—	4	2	no	—
1368	D₆₇	—	4	2	no	—
1369	D₆₇	#3520	1	4	yes	direct product factor
1370	#3520	—	67	1	no	—
1371	#3520	—	67	2	no	—
1372	#3520	—	67	2	no	—
1373	#3520	—	67	4	no	—
1374	#3520	—	67	1	no	—
1375	#3520	—	67	2	no	—
1376	#3520	—	67	1	no	—
1377	#3520	—	67	1	no	—
1378	#3520	—	67	2	no	—
1379	#3520	—	67	2	no	—
1380	#3520	—	67	4	no	—
1381	#3520	—	67	1	no	—
1382	#3520	—	67	1	no	—
1383	#3520	—	67	2	no	—
1384	#3520	—	67	2	no	—
1385	#3520	—	67	2	no	—
1386	#3520	—	67	1	no	—
1387	#3520	D₆₇	1	1	yes	characteristic, direct product factor
1388	C₂×#556	—	67	1	no	—
1389	C₂×#554	—	67	2	no	—
1390	C₂×#552	—	67	2	no	—
1391	C₂×#551	—	67	4	no	—
1392	C₂×D₄×Q₈	—	67	1	no	—
1393	C₂×#548	—	67	2	no	—
1394	C₂×#547	—	67	1	no	—
1395	C₂×#547	—	67	1	no	—
1396	C₂×#546	—	67	2	no	—
1397	C₂×#542	—	67	2	no	—
1398	C₂×#539	—	67	4	no	—
1399	C₂×#533	—	67	1	no	—
1400	C₂×#529	—	67	1	no	—
1401	C₂×#525	—	67	2	no	—
1402	C₂²×C₂²⋊Q₈	—	67	2	no	—
1403	C₂×#520	—	67	2	no	—
1404	C₂²×C₄×D₄	—	67	1	no	—
1405	C₆₇	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
1406	C₂²×#41	—	67	2	no	—
1407	C₂²×#41	—	67	2	no	—
1408	C₂³×Q₈	—	67	2	no	—
1409	C₂³×D₄	—	67	1	no	—
1410	C₂⁴×C₄	—	67	2	no	—
1411	#556	—	67	1	no	—
1412	#556	—	67	4	no	—
1413	#556	—	67	2	no	—
1414	#556	—	67	2	no	—
1415	#556	—	67	2	no	—
1416	#556	—	67	1	no	—
1417	#556	—	67	1	no	—
1418	#556	—	67	2	no	—
1419	#556	C₂×D₆₇	1	1	yes	characteristic, complemented
1420	#554	—	67	2	no	—
1421	#554	—	67	4	no	—
1422	#554	—	67	4	no	—
1423	#554	—	67	2	no	—
1424	#554	—	67	4	no	—
1425	#554	—	67	2	no	—
1426	#554	—	67	2	no	—
1427	#554	—	67	2	no	—
1428	#554	—	67	4	no	—
1429	#554	—	67	2	no	—
1430	#554	—	67	2	no	—
1431	#554	C₂×D₆₇	1	2	yes	complemented
1432	#552	—	67	4	no	—
1433	#552	—	67	4	no	—
1434	#552	—	67	2	no	—
1435	#552	—	67	4	no	—
1436	#552	—	67	2	no	—
1437	#552	—	67	2	no	—
1438	#552	—	67	2	no	—
1439	#552	—	67	2	no	—
1440	#552	—	67	4	no	—
1441	#552	—	67	2	no	—
1442	#552	—	67	2	no	—
1443	#552	C₂×D₆₇	1	2	yes	complemented
1444	#551	—	67	4	no	—
1445	#551	—	67	4	no	—
1446	#551	—	67	4	no	—
1447	#551	—	67	4	no	—
1448	#551	—	67	4	no	—
1449	#551	—	67	4	no	—
1450	#551	—	67	4	no	—
1451	#551	—	67	4	no	—
1452	#551	—	67	4	no	—
1453	#551	—	67	4	no	—
1454	#551	—	67	4	no	—
1455	#551	—	67	4	no	—
1456	#551	—	67	4	no	—
1457	#551	—	67	4	no	—
1458	#551	—	67	4	no	—
1459	#551	C₂×D₆₇	1	4	yes	complemented
1460	D₄×Q₈	—	67	2	no	—
1461	D₄×Q₈	—	67	2	no	—
1462	D₄×Q₈	—	67	1	no	—
1463	D₄×Q₈	—	67	2	no	—
1464	D₄×Q₈	—	67	4	no	—
1465	D₄×Q₈	—	67	1	no	—
1466	D₄×Q₈	—	67	2	no	—
1467	D₄×Q₈	—	67	1	no	—
1468	D₄×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1469	#548	—	67	2	no	—
1470	#548	—	67	2	no	—
1471	#548	—	67	4	no	—
1472	#548	—	67	2	no	—
1473	#548	—	67	2	no	—
1474	#548	—	67	4	no	—
1475	#548	—	67	4	no	—
1476	#548	—	67	2	no	—
1477	#548	—	67	2	no	—
1478	#548	—	67	2	no	—
1479	#548	—	67	4	no	—
1480	#548	C₂×D₆₇	1	2	yes	complemented
1481	#547	—	67	2	no	—
1482	#547	—	67	2	no	—
1483	#547	—	67	1	no	—
1484	#547	—	67	1	no	—
1485	#547	—	67	4	no	—
1486	#547	—	67	4	no	—
1487	#547	—	67	2	no	—
1488	#547	—	67	2	no	—
1489	#547	—	67	2	no	—
1490	#547	—	67	2	no	—
1491	#547	—	67	1	no	—
1492	#547	—	67	1	no	—
1493	#547	—	67	1	no	—
1494	#547	—	67	1	no	—
1495	#547	—	67	2	no	—
1496	#547	—	67	2	no	—
1497	#547	C₂×D₆₇	1	1	yes	characteristic, complemented
1498	#547	C₂×D₆₇	1	1	yes	characteristic, complemented
1499	#546	—	67	2	no	—
1500	#546	—	67	2	no	—
1501	#546	—	67	2	no	—
1502	#546	—	67	4	no	—
1503	#546	—	67	2	no	—
1504	#546	—	67	4	no	—
1505	#546	—	67	2	no	—
1506	#546	—	67	4	no	—
1507	#546	—	67	2	no	—
1508	#546	—	67	2	no	—
1509	#546	—	67	4	no	—
1510	#546	C₂×D₆₇	1	2	yes	complemented
1511	#542	—	67	2	no	—
1512	#542	—	67	4	no	—
1513	#542	—	67	2	no	—
1514	#542	—	67	4	no	—
1515	#542	—	67	4	no	—
1516	#542	—	67	4	no	—
1517	#542	—	67	2	no	—
1518	#542	—	67	2	no	—
1519	#542	—	67	2	no	—
1520	#542	—	67	2	no	—
1521	#542	—	67	2	no	—
1522	#542	C₂×D₆₇	1	2	yes	complemented
1523	#539	—	67	4	no	—
1524	#539	—	67	4	no	—
1525	#539	—	67	4	no	—
1526	#539	—	67	4	no	—
1527	#539	—	67	4	no	—
1528	#539	—	67	4	no	—
1529	#539	—	67	4	no	—
1530	#539	—	67	4	no	—
1531	#539	—	67	4	no	—
1532	#539	—	67	4	no	—
1533	#539	—	67	4	no	—
1534	#539	—	67	4	no	—
1535	#539	—	67	4	no	—
1536	#539	—	67	4	no	—
1537	#539	—	67	4	no	—
1538	#539	C₂×D₆₇	1	4	yes	complemented
1539	#533	—	67	1	no	—
1540	#533	—	67	1	no	—
1541	#533	—	67	2	no	—
1542	#533	—	67	2	no	—
1543	#533	—	67	2	no	—
1544	#533	—	67	2	no	—
1545	#533	—	67	2	no	—
1546	#533	—	67	2	no	—
1547	#533	—	67	1	no	—
1548	#533	C₂×D₆₇	1	1	yes	characteristic, complemented
1549	C₂×C₄⋊Q₈	—	67	1	no	—
1550	C₂×C₄⋊Q₈	—	67	1	no	—
1551	C₂×C₄⋊Q₈	—	67	2	no	—
1552	#529	—	67	2	no	—
1553	#529	—	67	1	no	—
1554	#529	—	67	1	no	—
1555	#529	—	67	2	no	—
1556	#529	—	67	1	no	—
1557	#529	—	67	1	no	—
1558	#529	—	67	1	no	—
1559	#529	—	67	2	no	—
1560	#529	—	67	1	no	—
1561	#529	—	67	2	no	—
1562	#529	—	67	1	no	—
1563	#529	C₂×D₆₇	1	1	yes	characteristic, complemented
1564	C₂×#126	—	67	2	no	—
1565	C₂×#126	—	67	4	no	—
1566	C₂×#126	—	67	4	no	—
1567	C₂×#125	—	67	1	no	—
1568	C₂×#125	—	67	2	no	—
1569	C₂×#125	—	67	4	no	—
1570	C₂×#124	—	67	2	no	—
1571	C₂×#124	—	67	1	no	—
1572	C₂×#124	—	67	4	no	—
1573	#525	—	67	2	no	—
1574	#525	—	67	2	no	—
1575	#525	—	67	4	no	—
1576	#525	—	67	2	no	—
1577	#525	—	67	2	no	—
1578	#525	—	67	2	no	—
1579	#525	—	67	2	no	—
1580	#525	—	67	4	no	—
1581	#525	—	67	4	no	—
1582	#525	—	67	4	no	—
1583	#525	—	67	2	no	—
1584	#525	C₂×D₆₇	1	2	yes	complemented
1585	C₂×#123	—	67	2	no	—
1586	C₂×#123	—	67	4	no	—
1587	C₂×#123	—	67	4	no	—
1588	C₂×#123	—	67	4	no	—
1589	C₂×#123	—	67	4	no	—
1590	C₂×C₂²⋊Q₈	—	67	2	no	—
1591	C₂×C₂²⋊Q₈	—	67	2	no	—
1592	C₂×C₂²⋊Q₈	—	67	1	no	—
1593	C₂×C₂²⋊Q₈	—	67	2	no	—
1594	C₂×C₂²⋊Q₈	—	67	4	no	—
1595	C₂×C₂²⋊Q₈	—	67	4	no	—
1596	C₂×C₂²⋊Q₈	—	67	2	no	—
1597	C₂×C₂²⋊Q₈	—	67	2	no	—
1598	C₂×C₂²⋊Q₈	—	67	2	no	—
1599	C₂×C₂²⋊Q₈	—	67	4	no	—
1600	C₂×C₂²⋊Q₈	—	67	2	no	—
1601	C₂×C₂²⋊Q₈	—	67	2	no	—
1602	C₂×C₂²⋊Q₈	—	67	2	no	—
1603	C₂×C₂²⋊Q₈	—	67	2	no	—
1604	C₂×C₂²⋊Q₈	—	67	4	no	—
1605	C₂×C₂²⋊Q₈	—	67	2	no	—
1606	C₂×C₂²⋊Q₈	—	67	4	no	—
1607	C₂×C₂²⋊Q₈	—	67	4	no	—
1608	C₂×C₂²⋊Q₈	—	67	2	no	—
1609	C₂×C₂²⋊Q₈	—	67	4	no	—
1610	C₂×C₂²⋊Q₈	—	67	2	no	—
1611	C₂×C₂²⋊Q₈	—	67	4	no	—
1612	C₂×C₂²⋊Q₈	C₂×D₆₇	1	2	yes	complemented
1613	C₂×#121	—	67	1	no	—
1614	C₂×#121	—	67	4	no	—
1615	C₂×#121	—	67	2	no	—
1616	C₂×#121	—	67	2	no	—
1617	C₂×#120	—	67	4	no	—
1618	#520	—	67	2	no	—
1619	#520	—	67	2	no	—
1620	#520	—	67	2	no	—
1621	#520	—	67	2	no	—
1622	#520	—	67	2	no	—
1623	#520	—	67	4	no	—
1624	#520	—	67	4	no	—
1625	#520	—	67	4	no	—
1626	#520	—	67	2	no	—
1627	#520	—	67	2	no	—
1628	#520	—	67	4	no	—
1629	#520	C₂×D₆₇	1	2	yes	complemented
1630	C₂×C₄×Q₈	—	67	2	no	—
1631	C₂×C₄×Q₈	—	67	2	no	—
1632	C₂×C₄×Q₈	—	67	1	no	—
1633	C₂×C₄×Q₈	—	67	2	no	—
1634	C₂×C₄×D₄	—	67	1	no	—
1635	C₂×C₄×D₄	—	67	2	no	—
1636	C₂×C₄×D₄	—	67	1	no	—
1637	C₂×C₄×D₄	—	67	2	no	—
1638	C₂×C₄×D₄	—	67	1	no	—
1639	C₂×C₄×D₄	—	67	1	no	—
1640	C₂×C₄×D₄	—	67	1	no	—
1641	C₂×C₄×D₄	—	67	2	no	—
1642	C₂×C₄×D₄	—	67	1	no	—
1643	C₂×C₄×D₄	—	67	2	no	—
1644	C₂×C₄×D₄	—	67	1	no	—
1645	C₂×C₄×D₄	—	67	1	no	—
1646	C₂×C₄×D₄	—	67	1	no	—
1647	C₂×C₄×D₄	—	67	2	no	—
1648	C₂×C₄×D₄	—	67	2	no	—
1649	C₂×C₄×D₄	—	67	4	no	—
1650	C₂×C₄×D₄	—	67	2	no	—
1651	C₂×C₄×D₄	—	67	4	no	—
1652	C₂×C₄×D₄	—	67	4	no	—
1653	C₂×C₄×D₄	—	67	1	no	—
1654	C₂×C₄×D₄	—	67	1	no	—
1655	C₂×C₄×D₄	—	67	2	no	—
1656	C₂×C₄×D₄	—	67	1	no	—
1657	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1658	C₂×#117	—	67	2	no	—
1659	C₂×#117	—	67	2	no	—
1660	C₂×#117	—	67	4	no	—
1661	C₂×#117	—	67	2	no	—
1662	C₂²×C₄⋊C₄	—	67	1	no	—
1663	C₂²×C₄⋊C₄	—	67	4	no	—
1664	C₂²×C₄⋊C₄	—	67	2	no	—
1665	C₂²×C₄⋊C₄	—	67	2	no	—
1666	C₂²×C₂²⋊C₄	—	67	2	no	—
1667	C₂²×C₂²⋊C₄	—	67	4	no	—
1668	C₂²×C₄²	—	67	1	no	—
1669	C₂⁵	—	67	2	no	—
1670	C₂×#41	—	268	8	no	—
1671	C₂×#41	—	67	2	no	—
1672	C₂×#41	—	67	2	no	—
1673	C₂×#41	—	67	2	no	—
1674	C₂×#41	—	67	4	no	—
1675	C₂×#41	—	67	2	no	—
1676	C₂×#41	—	67	4	no	—
1677	C₂×#41	—	67	2	no	—
1678	C₂×#41	—	67	4	no	—
1679	C₂×#41	—	67	2	no	—
1680	C₂×#41	—	67	4	no	—
1681	C₂×#41	—	134	16	no	—
1682	C₂×#41	C₂²×D₆₇	1	2	yes	—
1683	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1684	C₂²×Q₈	—	268	8	no	—
1685	C₂²×Q₈	—	67	4	no	—
1686	C₂²×Q₈	—	67	2	no	—
1687	C₂²×Q₈	—	67	2	no	—
1688	C₂²×Q₈	—	67	4	no	—
1689	C₂²×Q₈	—	67	2	no	—
1690	C₂²×Q₈	—	67	1	no	—
1691	C₂²×Q₈	—	67	2	no	—
1692	C₂²×Q₈	—	67	2	no	—
1693	C₂²×Q₈	—	67	4	no	—
1694	C₂²×Q₈	C₂²×D₆₇	1	2	yes	complemented
1695	C₂²×D₄	—	67	4	no	—
1696	C₂²×D₄	—	67	1	no	—
1697	C₂²×D₄	—	67	2	no	—
1698	C₂²×D₄	—	67	2	no	—
1699	C₂²×D₄	—	67	4	no	—
1700	C₂²×D₄	—	67	2	no	—
1701	C₂²×D₄	—	67	1	no	—
1702	C₂²×D₄	—	67	2	no	—
1703	C₂²×D₄	—	67	1	no	—
1704	C₂²×D₄	—	67	1	no	—
1705	C₂²×D₄	—	67	1	no	—
1706	C₂²×D₄	—	67	1	no	—
1707	C₂²×D₄	—	134	8	no	—
1708	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1709	C₂³×C₄	—	268	8	no	—
1710	C₂³×C₄	—	67	2	no	—
1711	C₂³×C₄	—	67	4	no	—
1712	C₂³×C₄	—	67	2	no	—
1713	C₂³×C₄	—	67	2	no	—
1714	C₂³×C₄	—	67	4	no	—
1715	C₂³×C₄	—	67	2	no	—
1716	C₂³×C₄	—	67	2	no	—
1717	C₂³×C₄	—	67	2	no	—
1718	C₂³×C₄	—	67	2	no	—
1719	C₂³×C₄	—	67	2	no	—
1720	C₂³×C₄	—	67	2	no	—
1721	C₂³×C₄	—	67	2	no	—
1722	C₂³×C₄	—	67	1	no	—
1723	C₂³×C₄	—	67	4	no	—
1724	C₂³×C₄	—	67	2	no	—
1725	C₂³×C₄	—	67	2	no	—
1726	C₂³×C₄	—	67	1	no	—
1727	C₂³×C₄	—	67	2	no	—
1728	C₂³×C₄	—	67	1	no	—
1729	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
1730	C₄⋊Q₈	—	67	2	no	—
1731	C₄⋊Q₈	—	67	2	no	—
1732	C₄⋊Q₈	—	67	4	no	—
1733	C₄⋊Q₈	—	67	2	no	—
1734	C₄⋊Q₈	—	67	2	no	—
1735	C₄⋊Q₈	—	67	2	no	—
1736	C₄⋊Q₈	—	67	2	no	—
1737	C₄⋊Q₈	—	67	4	no	—
1738	C₄⋊Q₈	—	67	2	no	—
1739	C₄⋊Q₈	—	67	2	no	—
1740	C₄⋊Q₈	—	67	1	no	—
1741	C₄⋊Q₈	—	67	1	no	—
1742	C₄⋊Q₈	—	67	2	no	—
1743	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1744	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1745	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1746	#126	—	67	2	no	—
1747	#126	—	67	2	no	—
1748	#126	—	67	2	no	—
1749	#126	—	67	4	no	—
1750	#126	—	67	4	no	—
1751	#126	—	67	4	no	—
1752	#126	—	67	4	no	—
1753	#126	—	67	4	no	—
1754	#126	—	67	4	no	—
1755	#126	—	67	2	no	—
1756	#126	—	67	2	no	—
1757	#126	—	67	2	no	—
1758	#126	—	67	4	no	—
1759	#126	—	67	4	no	—
1760	#126	—	67	4	no	—
1761	#126	—	67	4	no	—
1762	#126	—	67	4	no	—
1763	#126	—	67	4	no	—
1764	#126	—	67	2	no	—
1765	#126	—	67	4	no	—
1766	#126	—	67	4	no	—
1767	#126	C₂²×D₆₇	1	2	yes	complemented
1768	#126	C₂²×D₆₇	1	4	yes	complemented
1769	#126	C₂²×D₆₇	1	4	yes	complemented
1770	#125	—	67	2	no	—
1771	#125	—	67	2	no	—
1772	#125	—	67	1	no	—
1773	#125	—	67	1	no	—
1774	#125	—	67	4	no	—
1775	#125	—	67	4	no	—
1776	#125	—	67	2	no	—
1777	#125	—	67	2	no	—
1778	#125	—	67	4	no	—
1779	#125	—	67	4	no	—
1780	#125	—	67	4	no	—
1781	#125	—	67	4	no	—
1782	#125	—	67	4	no	—
1783	#125	—	67	4	no	—
1784	#125	—	67	1	no	—
1785	#125	—	67	2	no	—
1786	#125	—	67	4	no	—
1787	#125	C₂²×D₆₇	1	1	yes	characteristic, complemented
1788	#125	C₂²×D₆₇	1	2	yes	complemented
1789	#125	C₂²×D₆₇	1	4	yes	complemented
1790	#124	—	67	1	no	—
1791	#124	—	67	2	no	—
1792	#124	—	67	4	no	—
1793	#124	—	67	1	no	—
1794	#124	—	67	2	no	—
1795	#124	—	67	4	no	—
1796	#124	—	67	2	no	—
1797	#124	—	67	2	no	—
1798	#124	—	67	4	no	—
1799	#124	—	67	4	no	—
1800	#124	—	67	4	no	—
1801	#124	—	67	4	no	—
1802	#124	—	67	4	no	—
1803	#124	—	67	4	no	—
1804	#124	—	67	1	no	—
1805	#124	—	67	2	no	—
1806	#124	—	67	4	no	—
1807	#124	C₂²×D₆₇	1	2	yes	—
1808	#124	C₂²×D₆₇	1	1	yes	characteristic, complemented
1809	#124	C₂²×D₆₇	1	4	yes	complemented
1810	#123	—	67	4	no	—
1811	#123	—	67	2	no	—
1812	#123	—	67	4	no	—
1813	#123	—	67	4	no	—
1814	#123	—	67	4	no	—
1815	#123	—	67	4	no	—
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	2	no	—
1823	#123	—	67	2	no	—
1824	#123	—	67	4	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	2	no	—
1834	#123	—	67	2	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	4	no	—
1845	#123	C₂²×D₆₇	1	2	yes	—
1846	#123	C₂²×D₆₇	1	4	yes	—
1847	#123	C₂²×D₆₇	1	4	yes	complemented
1848	#123	C₂²×D₆₇	1	4	yes	complemented
1849	#123	C₂²×D₆₇	1	4	yes	complemented
1850	C₂²⋊Q₈	—	67	1	no	—
1851	C₂²⋊Q₈	—	67	2	no	—
1852	C₂²⋊Q₈	—	67	4	no	—
1853	C₂²⋊Q₈	—	67	2	no	—
1854	C₂²⋊Q₈	—	67	2	no	—
1855	C₂²⋊Q₈	—	67	4	no	—
1856	C₂²⋊Q₈	—	67	2	no	—
1857	C₂²⋊Q₈	—	67	2	no	—
1858	C₂²⋊Q₈	—	67	4	no	—
1859	C₂²⋊Q₈	—	67	4	no	—
1860	C₂²⋊Q₈	—	67	2	no	—
1861	C₂²⋊Q₈	—	67	1	no	—
1862	C₂²⋊Q₈	—	67	2	no	—
1863	C₂²⋊Q₈	—	67	4	no	—
1864	C₂²⋊Q₈	—	67	2	no	—
1865	C₂²⋊Q₈	—	67	2	no	—
1866	C₂²⋊Q₈	—	67	4	no	—
1867	C₂²⋊Q₈	—	67	2	no	—
1868	C₂²⋊Q₈	—	67	2	no	—
1869	C₂²⋊Q₈	—	67	4	no	—
1870	C₂²⋊Q₈	—	67	4	no	—
1871	C₂²⋊Q₈	—	67	2	no	—
1872	C₂²⋊Q₈	—	67	2	no	—
1873	C₂²⋊Q₈	—	67	1	no	—
1874	C₂²⋊Q₈	—	67	4	no	—
1875	C₂²⋊Q₈	—	67	2	no	—
1876	C₂²⋊Q₈	—	67	4	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	4	no	—
1882	C₂²⋊Q₈	—	67	2	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	2	no	—
1888	C₂²⋊Q₈	—	67	4	no	—
1889	C₂²⋊Q₈	—	67	2	no	—
1890	C₂²⋊Q₈	—	67	4	no	—
1891	C₂²⋊Q₈	—	67	4	no	—
1892	C₂²⋊Q₈	—	67	4	no	—
1893	C₂²⋊Q₈	—	67	4	no	—
1894	C₂²⋊Q₈	—	67	4	no	—
1895	C₂²⋊Q₈	—	67	4	no	—
1896	C₂²⋊Q₈	—	67	4	no	—
1897	C₂²⋊Q₈	—	67	2	no	—
1898	C₂²⋊Q₈	—	67	2	no	—
1899	C₂²⋊Q₈	—	67	4	no	—
1900	C₂²⋊Q₈	—	67	4	no	—
1901	C₂²⋊Q₈	—	67	4	no	—
1902	C₂²⋊Q₈	—	67	4	no	—
1903	C₂²⋊Q₈	—	67	4	no	—
1904	C₂²⋊Q₈	—	67	4	no	—
1905	C₂²⋊Q₈	—	67	4	no	—
1906	C₂²⋊Q₈	—	67	4	no	—
1907	C₂²⋊Q₈	—	67	4	no	—
1908	C₂²⋊Q₈	—	67	4	no	—
1909	C₂²⋊Q₈	—	67	4	no	—
1910	C₂²⋊Q₈	—	67	4	no	—
1911	C₂²⋊Q₈	—	67	4	no	—
1912	C₂²⋊Q₈	—	67	4	no	—
1913	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic
1914	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1915	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1916	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1917	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1918	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1919	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1920	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1921	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1922	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1923	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1924	#121	—	67	1	no	—
1925	#121	—	67	2	no	—
1926	#121	—	67	2	no	—
1927	#121	—	67	4	no	—
1928	#121	—	67	4	no	—
1929	#121	—	67	4	no	—
1930	#121	—	67	4	no	—
1931	#121	—	67	2	no	—
1932	#121	—	67	4	no	—
1933	#121	—	67	1	no	—
1934	#121	—	67	2	no	—
1935	#121	—	67	4	no	—
1936	#121	—	67	2	no	—
1937	#121	—	67	1	no	—
1938	#121	—	67	2	no	—
1939	#121	—	67	4	no	—
1940	#121	—	67	2	no	—
1941	#121	—	67	2	no	—
1942	#121	—	67	4	no	—
1943	#121	—	67	4	no	—
1944	#121	—	67	4	no	—
1945	#121	—	67	4	no	—
1946	#121	C₂²×D₆₇	1	1	yes	characteristic
1947	#121	C₂²×D₆₇	1	4	yes	—
1948	#121	C₂²×D₆₇	1	2	yes	—
1949	#121	C₂²×D₆₇	1	2	yes	complemented
1950	#120	—	67	4	no	—
1951	#120	—	67	4	no	—
1952	#120	—	67	4	no	—
1953	#120	—	67	4	no	—
1954	#120	—	67	4	no	—
1955	#120	—	67	4	no	—
1956	#120	—	67	4	no	—
1957	#120	C₂²×D₆₇	1	4	yes	—
1958	C₄×Q₈	—	67	2	no	—
1959	C₄×Q₈	—	67	2	no	—
1960	C₄×Q₈	—	67	1	no	—
1961	C₄×Q₈	—	67	2	no	—
1962	C₄×Q₈	—	67	4	no	—
1963	C₄×Q₈	—	67	2	no	—
1964	C₄×Q₈	—	67	4	no	—
1965	C₄×Q₈	—	67	2	no	—
1966	C₄×Q₈	—	67	2	no	—
1967	C₄×Q₈	—	67	1	no	—
1968	C₄×Q₈	—	67	4	no	—
1969	C₄×Q₈	—	67	2	no	—
1970	C₄×Q₈	—	67	4	no	—
1971	C₄×Q₈	—	67	2	no	—
1972	C₄×Q₈	—	67	2	no	—
1973	C₄×Q₈	—	67	4	no	—
1974	C₄×Q₈	—	67	2	no	—
1975	C₄×Q₈	—	67	1	no	—
1976	C₄×Q₈	—	67	4	no	—
1977	C₄×Q₈	—	67	2	no	—
1978	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1979	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1980	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1981	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1982	C₄×D₄	—	67	1	no	—
1983	C₄×D₄	—	67	2	no	—
1984	C₄×D₄	—	67	1	no	—
1985	C₄×D₄	—	67	1	no	—
1986	C₄×D₄	—	67	1	no	—
1987	C₄×D₄	—	67	2	no	—
1988	C₄×D₄	—	67	4	no	—
1989	C₄×D₄	—	67	2	no	—
1990	C₄×D₄	—	67	4	no	—
1991	C₄×D₄	—	67	4	no	—
1992	C₄×D₄	—	67	2	no	—
1993	C₄×D₄	—	67	1	no	—
1994	C₄×D₄	—	67	2	no	—
1995	C₄×D₄	—	67	2	no	—
1996	C₄×D₄	—	67	2	no	—
1997	C₄×D₄	—	67	2	no	—
1998	C₄×D₄	—	67	2	no	—
1999	C₄×D₄	—	67	2	no	—
2000	C₄×D₄	—	67	2	no	—
2001	C₄×D₄	—	67	2	no	—
2002	C₄×D₄	—	67	4	no	—
2003	C₄×D₄	—	67	4	no	—
2004	C₄×D₄	—	67	4	no	—
2005	C₄×D₄	—	67	4	no	—
2006	C₄×D₄	—	67	4	no	—
2007	C₄×D₄	—	67	4	no	—
2008	C₄×D₄	—	67	4	no	—
2009	C₄×D₄	—	67	2	no	—
2010	C₄×D₄	—	67	2	no	—
2011	C₄×D₄	—	67	2	no	—
2012	C₄×D₄	—	67	1	no	—
2013	C₄×D₄	—	67	2	no	—
2014	C₄×D₄	—	67	1	no	—
2015	C₄×D₄	—	67	1	no	—
2016	C₄×D₄	—	67	1	no	—
2017	C₄×D₄	—	67	2	no	—
2018	C₄×D₄	—	67	4	no	—
2019	C₄×D₄	—	67	2	no	—
2020	C₄×D₄	—	67	4	no	—
2021	C₄×D₄	—	67	4	no	—
2022	C₄×D₄	—	67	2	no	—
2023	C₄×D₄	—	67	1	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	2	no	—
2030	C₄×D₄	—	67	2	no	—
2031	C₄×D₄	—	67	2	no	—
2032	C₄×D₄	—	67	4	no	—
2033	C₄×D₄	—	67	4	no	—
2034	C₄×D₄	—	67	4	no	—
2035	C₄×D₄	—	67	4	no	—
2036	C₄×D₄	—	67	4	no	—
2037	C₄×D₄	—	67	4	no	—
2038	C₄×D₄	—	67	4	no	—
2039	C₄×D₄	—	67	2	no	—
2040	C₄×D₄	—	67	2	no	—
2041	C₄×D₄	—	67	2	no	—
2042	C₄×D₄	—	67	1	no	—
2043	C₄×D₄	—	67	2	no	—
2044	C₄×D₄	—	67	1	no	—
2045	C₄×D₄	—	67	1	no	—
2046	C₄×D₄	—	67	1	no	—
2047	C₄×D₄	—	67	2	no	—
2048	C₄×D₄	—	67	4	no	—
2049	C₄×D₄	—	67	2	no	—
2050	C₄×D₄	—	67	4	no	—
2051	C₄×D₄	—	67	4	no	—
2052	C₄×D₄	—	67	2	no	—
2053	C₄×D₄	—	67	1	no	—
2054	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2055	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2056	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2057	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2058	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2059	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2060	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2061	C₄×D₄	C₂²×D₆₇	1	4	yes	—
2062	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2063	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2064	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2065	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2066	#117	—	67	2	no	—
2067	#117	—	67	4	no	—
2068	#117	—	67	2	no	—
2069	#117	—	67	2	no	—
2070	#117	—	67	2	no	—
2071	#117	—	67	2	no	—
2072	#117	—	67	4	no	—
2073	#117	—	67	4	no	—
2074	#117	—	67	2	no	—
2075	#117	—	67	2	no	—
2076	#117	—	67	2	no	—
2077	#117	—	67	2	no	—
2078	#117	—	67	2	no	—
2079	#117	—	67	2	no	—
2080	#117	—	67	4	no	—
2081	#117	—	67	4	no	—
2082	#117	—	67	4	no	—
2083	#117	—	67	4	no	—
2084	#117	—	67	2	no	—
2085	#117	—	67	2	no	—
2086	#117	—	67	4	no	—
2087	#117	—	67	4	no	—
2088	#117	—	67	4	no	—
2089	#117	—	67	4	no	—
2090	#117	C₂²×D₆₇	1	2	yes	—
2091	#117	C₂²×D₆₇	1	2	yes	complemented
2092	#117	C₂²×D₆₇	1	4	yes	complemented
2093	#117	C₂²×D₆₇	1	2	yes	complemented
2094	C₂×C₄⋊C₄	—	67	2	no	—
2095	C₂×C₄⋊C₄	—	67	1	no	—
2096	C₂×C₄⋊C₄	—	67	4	no	—
2097	C₂×C₄⋊C₄	—	67	4	no	—
2098	C₂×C₄⋊C₄	—	67	4	no	—
2099	C₂×C₄⋊C₄	—	67	4	no	—
2100	C₂×C₄⋊C₄	—	67	2	no	—
2101	C₂×C₄⋊C₄	—	67	4	no	—
2102	C₂×C₄⋊C₄	—	67	2	no	—
2103	C₂×C₄⋊C₄	—	67	1	no	—
2104	C₂×C₄⋊C₄	—	67	2	no	—
2105	C₂×C₄⋊C₄	—	67	4	no	—
2106	C₂×C₄⋊C₄	—	67	1	no	—
2107	C₂×C₄⋊C₄	—	67	2	no	—
2108	C₂×C₄⋊C₄	—	67	2	no	—
2109	C₂×C₄⋊C₄	—	67	1	no	—
2110	C₂×C₄⋊C₄	—	67	2	no	—
2111	C₂×C₄⋊C₄	—	67	1	no	—
2112	C₂×C₄⋊C₄	—	67	1	no	—
2113	C₂×C₄⋊C₄	—	67	2	no	—
2114	C₂×C₄⋊C₄	—	67	4	no	—
2115	C₂×C₄⋊C₄	—	67	4	no	—
2116	C₂×C₄⋊C₄	—	67	4	no	—
2117	C₂×C₄⋊C₄	—	67	4	no	—
2118	C₂×C₄⋊C₄	—	67	4	no	—
2119	C₂×C₄⋊C₄	—	67	4	no	—
2120	C₂×C₄⋊C₄	—	67	4	no	—
2121	C₂×C₄⋊C₄	—	67	2	no	—
2122	C₂×C₄⋊C₄	—	67	2	no	—
2123	C₂×C₄⋊C₄	—	67	4	no	—
2124	C₂×C₄⋊C₄	—	67	4	no	—
2125	C₂×C₄⋊C₄	—	67	2	no	—
2126	C₂×C₄⋊C₄	—	67	2	no	—
2127	C₂×C₄⋊C₄	—	67	2	no	—
2128	C₂×C₄⋊C₄	—	67	1	no	—
2129	C₂×C₄⋊C₄	—	67	2	no	—
2130	C₂×C₄⋊C₄	—	67	2	no	—
2131	C₂×C₄⋊C₄	—	67	4	no	—
2132	C₂×C₄⋊C₄	—	67	2	no	—
2133	C₂×C₄⋊C₄	—	67	4	no	—
2134	C₂×C₄⋊C₄	—	67	2	no	—
2135	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2136	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	complemented
2137	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2138	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2139	C₂×C₂²⋊C₄	—	67	2	no	—
2140	C₂×C₂²⋊C₄	—	67	4	no	—
2141	C₂×C₂²⋊C₄	—	67	2	no	—
2142	C₂×C₂²⋊C₄	—	67	2	no	—
2143	C₂×C₂²⋊C₄	—	67	4	no	—
2144	C₂×C₂²⋊C₄	—	67	4	no	—
2145	C₂×C₂²⋊C₄	—	67	2	no	—
2146	C₂×C₂²⋊C₄	—	67	2	no	—
2147	C₂×C₂²⋊C₄	—	67	4	no	—
2148	C₂×C₂²⋊C₄	—	67	2	no	—
2149	C₂×C₂²⋊C₄	—	67	2	no	—
2150	C₂×C₂²⋊C₄	—	67	2	no	—
2151	C₂×C₂²⋊C₄	—	67	2	no	—
2152	C₂×C₂²⋊C₄	—	67	2	no	—
2153	C₂×C₂²⋊C₄	—	67	2	no	—
2154	C₂×C₂²⋊C₄	—	67	2	no	—
2155	C₂×C₂²⋊C₄	—	67	4	no	—
2156	C₂×C₂²⋊C₄	—	67	4	no	—
2157	C₂×C₂²⋊C₄	—	67	4	no	—
2158	C₂×C₂²⋊C₄	—	67	4	no	—
2159	C₂×C₂²⋊C₄	—	67	4	no	—
2160	C₂×C₂²⋊C₄	—	67	4	no	—
2161	C₂×C₂²⋊C₄	—	67	4	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	2	no	—
2166	C₂×C₂²⋊C₄	—	67	4	no	—
2167	C₂×C₂²⋊C₄	—	67	2	no	—
2168	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2169	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
2170	C₂×C₄²	—	67	1	no	—
2171	C₂×C₄²	—	67	1	no	—
2172	C₂×C₄²	—	67	1	no	—
2173	C₂×C₄²	—	67	1	no	—
2174	C₂×C₄²	—	67	4	no	—
2175	C₂×C₄²	—	67	4	no	—
2176	C₂×C₄²	—	67	2	no	—
2177	C₂×C₄²	—	67	1	no	—
2178	C₂×C₄²	—	67	1	no	—
2179	C₂×C₄²	—	67	1	no	—
2180	C₂×C₄²	—	67	1	no	—
2181	C₂×C₄²	—	67	1	no	—
2182	C₂×C₄²	—	67	1	no	—
2183	C₂×C₄²	—	67	1	no	—
2184	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
2185	C₂⁴	—	268	4	no	—
2186	C₂⁴	—	67	2	no	—
2187	C₂⁴	—	67	2	no	—
2188	C₂⁴	—	67	2	no	—
2189	C₂⁴	—	67	1	no	—
2190	C₂⁴	—	67	2	no	—
2191	C₂⁴	—	67	2	no	—
2192	C₂⁴	—	67	2	no	—
2193	C₂⁴	—	134	8	no	—
2194	C₂⁴	—	134	8	no	—
2195	C₂⁴	C₂³×D₆₇	1	2	yes	—
2196	#41	—	2	8	no	—
2197	#41	—	4	4	no	—
2198	#41	—	268	4	no	—
2199	#41	—	268	8	no	—
2200	#41	—	268	4	no	—
2201	#41	—	268	8	no	—
2202	#41	—	268	4	no	—
2203	#41	—	134	16	no	—
2204	#41	—	134	8	no	—
2205	#41	—	134	16	no	—
2206	#41	—	134	8	no	—
2207	#41	—	134	8	no	—
2208	C₂×Q₈	—	4	4	no	—
2209	C₂×Q₈	—	268	4	no	—
2210	C₂×Q₈	—	268	8	no	—
2211	C₂×Q₈	—	268	4	no	—
2212	C₂×Q₈	—	268	4	no	—
2213	C₂×Q₈	—	268	8	no	—
2214	C₂×Q₈	—	268	8	no	—
2215	C₂×Q₈	—	67	4	no	—
2216	C₂×Q₈	—	67	4	no	—
2217	C₂×Q₈	—	67	4	no	—
2218	C₂×Q₈	—	67	4	no	—
2219	C₂×Q₈	—	67	2	no	—
2220	C₂×Q₈	—	67	2	no	—
2221	C₂×Q₈	—	67	1	no	—
2222	C₂×Q₈	—	67	4	no	—
2223	C₂×Q₈	—	67	2	no	—
2224	C₂×Q₈	—	134	4	no	—
2225	C₂×Q₈	—	134	8	no	—
2226	C₂×Q₈	—	134	8	no	—
2227	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2228	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2229	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2230	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2231	C₂×D₄	—	2	4	no	—
2232	C₂×D₄	—	268	8	no	—
2233	C₂×D₄	—	67	4	no	—
2234	C₂×D₄	—	67	4	no	—
2235	C₂×D₄	—	67	2	no	—
2236	C₂×D₄	—	67	8	no	—
2237	C₂×D₄	—	67	2	no	—
2238	C₂×D₄	—	67	2	no	—
2239	C₂×D₄	—	67	4	no	—
2240	C₂×D₄	—	67	4	no	—
2241	C₂×D₄	—	67	2	no	—
2242	C₂×D₄	—	67	2	no	—
2243	C₂×D₄	—	67	2	no	—
2244	C₂×D₄	—	67	2	no	—
2245	C₂×D₄	—	67	4	no	—
2246	C₂×D₄	—	67	1	no	—
2247	C₂×D₄	—	67	2	no	—
2248	C₂×D₄	—	67	4	no	—
2249	C₂×D₄	—	67	2	no	—
2250	C₂×D₄	—	67	1	no	—
2251	C₂×D₄	—	67	1	no	—
2252	C₂×D₄	—	134	4	no	—
2253	C₂×D₄	—	134	4	no	—
2254	C₂×D₄	—	134	4	no	—
2255	C₂×D₄	—	134	8	no	—
2256	C₂×D₄	—	134	4	no	—
2257	C₂×D₄	—	134	8	no	—
2258	C₂×D₄	—	134	16	no	—
2259	C₂×D₄	—	134	8	no	—
2260	C₂×D₄	—	134	8	no	—
2261	C₂×D₄	—	134	4	no	—
2262	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2263	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2264	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2265	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2266	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2267	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2268	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2269	C₂²×C₄	—	4	4	no	—
2270	C₂²×C₄	—	268	4	no	—
2271	C₂²×C₄	—	268	4	no	—
2272	C₂²×C₄	—	268	4	no	—
2273	C₂²×C₄	—	268	4	no	—
2274	C₂²×C₄	—	268	4	no	—
2275	C₂²×C₄	—	268	4	no	—
2276	C₂²×C₄	—	268	8	no	—
2277	C₂²×C₄	—	268	8	no	—
2278	C₂²×C₄	—	268	4	no	—
2279	C₂²×C₄	—	268	4	no	—
2280	C₂²×C₄	—	268	4	no	—
2281	C₂²×C₄	—	268	4	no	—
2282	C₂²×C₄	—	67	4	no	—
2283	C₂²×C₄	—	67	2	no	—
2284	C₂²×C₄	—	67	2	no	—
2285	C₂²×C₄	—	67	4	no	—
2286	C₂²×C₄	—	67	2	no	—
2287	C₂²×C₄	—	67	4	no	—
2288	C₂²×C₄	—	67	4	no	—
2289	C₂²×C₄	—	67	2	no	—
2290	C₂²×C₄	—	67	2	no	—
2291	C₂²×C₄	—	67	2	no	—
2292	C₂²×C₄	—	67	2	no	—
2293	C₂²×C₄	—	67	4	no	—
2294	C₂²×C₄	—	67	4	no	—
2295	C₂²×C₄	—	67	2	no	—
2296	C₂²×C₄	—	67	2	no	—
2297	C₂²×C₄	—	67	1	no	—
2298	C₂²×C₄	—	67	1	no	—
2299	C₂²×C₄	—	67	1	no	—
2300	C₂²×C₄	—	67	1	no	—
2301	C₂²×C₄	—	67	1	no	—
2302	C₂²×C₄	—	67	4	no	—
2303	C₂²×C₄	—	67	2	no	—
2304	C₂²×C₄	—	67	2	no	—
2305	C₂²×C₄	—	67	2	no	—
2306	C₂²×C₄	—	67	1	no	—
2307	C₂²×C₄	—	67	2	no	—
2308	C₂²×C₄	—	67	1	no	—
2309	C₂²×C₄	—	67	4	no	—
2310	C₂²×C₄	—	67	1	no	—
2311	C₂²×C₄	—	67	1	no	—
2312	C₂²×C₄	—	67	1	no	—
2313	C₂²×C₄	—	67	1	no	—
2314	C₂²×C₄	—	67	2	no	—
2315	C₂²×C₄	—	67	1	no	—
2316	C₂²×C₄	—	67	1	no	—
2317	C₂²×C₄	—	67	1	no	—
2318	C₂²×C₄	—	67	1	no	—
2319	C₂²×C₄	—	67	2	no	—
2320	C₂²×C₄	—	67	4	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	2	no	—
2328	C₂²×C₄	—	67	2	no	—
2329	C₂²×C₄	—	67	2	no	—
2330	C₂²×C₄	—	67	2	no	—
2331	C₂²×C₄	—	134	4	no	—
2332	C₂²×C₄	—	134	8	no	—
2333	C₂²×C₄	—	134	8	no	—
2334	C₂²×C₄	—	134	4	no	—
2335	C₂²×C₄	—	134	8	no	—
2336	C₂²×C₄	—	134	16	no	—
2337	C₂²×C₄	—	134	4	no	—
2338	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2339	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2340	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2341	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2342	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2343	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2344	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2345	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2346	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2347	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2348	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2349	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2350	C₄⋊C₄	—	67	2	no	—
2351	C₄⋊C₄	—	67	1	no	—
2352	C₄⋊C₄	—	67	2	no	—
2353	C₄⋊C₄	—	67	2	no	—
2354	C₄⋊C₄	—	67	2	no	—
2355	C₄⋊C₄	—	67	4	no	—
2356	C₄⋊C₄	—	67	4	no	—
2357	C₄⋊C₄	—	67	4	no	—
2358	C₄⋊C₄	—	67	2	no	—
2359	C₄⋊C₄	—	67	1	no	—
2360	C₄⋊C₄	—	67	4	no	—
2361	C₄⋊C₄	—	67	2	no	—
2362	C₄⋊C₄	—	67	2	no	—
2363	C₄⋊C₄	—	67	2	no	—
2364	C₄⋊C₄	—	67	2	no	—
2365	C₄⋊C₄	—	67	2	no	—
2366	C₄⋊C₄	—	67	1	no	—
2367	C₄⋊C₄	—	67	4	no	—
2368	C₄⋊C₄	—	67	2	no	—
2369	C₄⋊C₄	—	67	4	no	—
2370	C₄⋊C₄	—	67	4	no	—
2371	C₄⋊C₄	—	67	4	no	—
2372	C₄⋊C₄	—	67	4	no	—
2373	C₄⋊C₄	—	67	4	no	—
2374	C₄⋊C₄	—	67	4	no	—
2375	C₄⋊C₄	—	67	4	no	—
2376	C₄⋊C₄	—	67	4	no	—
2377	C₄⋊C₄	—	67	4	no	—
2378	C₄⋊C₄	—	67	2	no	—
2379	C₄⋊C₄	—	67	2	no	—
2380	C₄⋊C₄	—	67	2	no	—
2381	C₄⋊C₄	—	67	2	no	—
2382	C₄⋊C₄	—	67	1	no	—
2383	C₄⋊C₄	—	67	4	no	—
2384	C₄⋊C₄	—	67	2	no	—
2385	C₄⋊C₄	—	67	4	no	—
2386	C₄⋊C₄	—	67	2	no	—
2387	C₄⋊C₄	—	67	4	no	—
2388	C₄⋊C₄	—	67	4	no	—
2389	C₄⋊C₄	—	67	4	no	—
2390	C₄⋊C₄	—	67	2	no	—
2391	C₄⋊C₄	—	67	2	no	—
2392	C₄⋊C₄	—	67	2	no	—
2393	C₄⋊C₄	—	67	4	no	—
2394	C₄⋊C₄	—	67	4	no	—
2395	C₄⋊C₄	—	67	4	no	—
2396	C₄⋊C₄	—	67	2	no	—
2397	C₄⋊C₄	—	67	2	no	—
2398	C₄⋊C₄	—	67	2	no	—
2399	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2400	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2401	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2402	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2403	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2404	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2405	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2406	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2407	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2408	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2409	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2410	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2411	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2412	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2413	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2414	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2415	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2416	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2417	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2418	C₂²⋊C₄	—	67	2	no	—
2419	C₂²⋊C₄	—	67	2	no	—
2420	C₂²⋊C₄	—	67	4	no	—
2421	C₂²⋊C₄	—	67	2	no	—
2422	C₂²⋊C₄	—	67	2	no	—
2423	C₂²⋊C₄	—	67	2	no	—
2424	C₂²⋊C₄	—	67	4	no	—
2425	C₂²⋊C₄	—	67	4	no	—
2426	C₂²⋊C₄	—	67	4	no	—
2427	C₂²⋊C₄	—	67	2	no	—
2428	C₂²⋊C₄	—	67	2	no	—
2429	C₂²⋊C₄	—	67	4	no	—
2430	C₂²⋊C₄	—	67	2	no	—
2431	C₂²⋊C₄	—	67	4	no	—
2432	C₂²⋊C₄	—	67	2	no	—
2433	C₂²⋊C₄	—	67	2	no	—
2434	C₂²⋊C₄	—	67	2	no	—
2435	C₂²⋊C₄	—	67	2	no	—
2436	C₂²⋊C₄	—	67	2	no	—
2437	C₂²⋊C₄	—	67	4	no	—
2438	C₂²⋊C₄	—	67	4	no	—
2439	C₂²⋊C₄	—	67	2	no	—
2440	C₂²⋊C₄	—	67	2	no	—
2441	C₂²⋊C₄	—	67	2	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	4	no	—
2447	C₂²⋊C₄	—	67	4	no	—
2448	C₂²⋊C₄	—	67	4	no	—
2449	C₂²⋊C₄	—	67	4	no	—
2450	C₂²⋊C₄	—	67	4	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	4	no	—
2456	C₂²⋊C₄	—	67	4	no	—
2457	C₂²⋊C₄	—	67	2	no	—
2458	C₂²⋊C₄	—	67	2	no	—
2459	C₂²⋊C₄	—	67	4	no	—
2460	C₂²⋊C₄	—	67	4	no	—
2461	C₂²⋊C₄	—	67	2	no	—
2462	C₂²⋊C₄	—	67	2	no	—
2463	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2464	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2465	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2466	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2467	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2468	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2469	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2470	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2471	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2472	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2473	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2474	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2475	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2476	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2477	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2478	C₄²	—	67	1	no	—
2479	C₄²	—	67	1	no	—
2480	C₄²	—	67	1	no	—
2481	C₄²	—	67	1	no	—
2482	C₄²	—	67	1	no	—
2483	C₄²	—	67	1	no	—
2484	C₄²	—	67	1	no	—
2485	C₄²	—	67	1	no	—
2486	C₄²	—	67	1	no	—
2487	C₄²	—	67	1	no	—
2488	C₄²	—	67	1	no	—
2489	C₄²	—	67	1	no	—
2490	C₄²	—	67	4	no	—
2491	C₄²	—	67	4	no	—
2492	C₄²	—	67	4	no	—
2493	C₄²	—	67	4	no	—
2494	C₄²	—	67	4	no	—
2495	C₄²	—	67	4	no	—
2496	C₄²	—	67	2	no	—
2497	C₄²	—	67	2	no	—
2498	C₄²	—	67	2	no	—
2499	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2500	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2501	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2502	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2503	C₄²	C₂³×D₆₇	1	4	yes	—
2504	C₄²	C₂³×D₆₇	1	4	yes	—
2505	C₄²	C₂³×D₆₇	1	2	yes	—
2506	C₂³	—	2	4	no	—
2507	C₂³	—	2	4	no	—
2508	C₂³	—	4	2	no	—
2509	C₂³	—	268	2	no	—
2510	C₂³	—	268	2	no	—
2511	C₂³	—	268	2	no	—
2512	C₂³	—	268	32	no	—
2513	C₂³	—	67	1	no	—
2514	C₂³	—	67	8	no	—
2515	C₂³	—	67	4	no	—
2516	C₂³	—	67	1	no	—
2517	C₂³	—	67	2	no	—
2518	C₂³	—	67	2	no	—
2519	C₂³	—	67	2	no	—
2520	C₂³	—	134	4	no	—
2521	C₂³	—	134	4	no	—
2522	C₂³	—	134	4	no	—
2523	C₂³	—	134	4	no	—
2524	C₂³	—	134	4	no	—
2525	C₂³	—	134	4	no	—
2526	C₂³	—	134	4	no	—
2527	C₂³	—	134	4	no	—
2528	C₂³	—	134	4	no	—
2529	C₂³	—	134	4	no	—
2530	C₂³	—	134	4	no	—
2531	C₂³	—	134	2	no	—
2532	C₂³	—	134	2	no	—
2533	C₂³	—	134	4	no	—
2534	C₂³	—	134	4	no	—
2535	C₂³	—	134	4	no	—
2536	C₂³	C₂⁴×D₆₇	1	2	yes	—
2537	C₂³	C₂⁴×D₆₇	1	2	yes	—
2538	C₂³	C₂⁴×D₆₇	1	2	yes	—
2539	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2540	Q₈	—	2	4	no	—
2541	Q₈	—	2	2	no	—
2542	Q₈	—	2	4	no	—
2543	Q₈	—	4	4	no	—
2544	Q₈	—	268	4	no	—
2545	Q₈	—	268	4	no	—
2546	Q₈	—	268	4	no	—
2547	Q₈	—	134	4	no	—
2548	Q₈	—	134	8	no	—
2549	Q₈	—	134	8	no	—
2550	Q₈	—	134	4	no	—
2551	Q₈	—	134	2	no	—
2552	Q₈	—	134	4	no	—
2553	D₄	—	2	4	no	—
2554	D₄	—	2	8	no	—
2555	D₄	—	2	4	no	—
2556	D₄	—	2	2	no	—
2557	D₄	—	2	2	no	—
2558	D₄	—	4	4	no	—
2559	D₄	—	268	4	no	—
2560	D₄	—	268	4	no	—
2561	D₄	—	268	4	no	—
2562	D₄	—	67	8	no	—
2563	D₄	—	67	4	no	—
2564	D₄	—	134	4	no	—
2565	D₄	—	134	8	no	—
2566	D₄	—	134	4	no	—
2567	D₄	—	134	4	no	—
2568	D₄	—	134	4	no	—
2569	D₄	—	134	4	no	—
2570	D₄	—	134	8	no	—
2571	D₄	—	134	4	no	—
2572	D₄	—	134	4	no	—
2573	D₄	—	134	8	no	—
2574	D₄	—	134	4	no	—
2575	D₄	—	134	2	no	—
2576	D₄	—	134	2	no	—
2577	D₄	#41×D₆₇	1	4	yes	complemented
2578	C₂×C₄	—	2	8	no	—
2579	C₂×C₄	—	2	2	no	—
2580	C₂×C₄	—	2	2	no	—
2581	C₂×C₄	—	2	4	no	—
2582	C₂×C₄	—	2	2	no	—
2583	C₂×C₄	—	2	4	no	—
2584	C₂×C₄	—	2	4	no	—
2585	C₂×C₄	—	4	2	no	—
2586	C₂×C₄	—	4	2	no	—
2587	C₂×C₄	—	4	2	no	—
2588	C₂×C₄	—	4	4	no	—
2589	C₂×C₄	—	4	4	no	—
2590	C₂×C₄	—	268	2	no	—
2591	C₂×C₄	—	268	2	no	—
2592	C₂×C₄	—	268	2	no	—
2593	C₂×C₄	—	268	2	no	—
2594	C₂×C₄	—	268	2	no	—
2595	C₂×C₄	—	268	2	no	—
2596	C₂×C₄	—	268	4	no	—
2597	C₂×C₄	—	268	4	no	—
2598	C₂×C₄	—	268	4	no	—
2599	C₂×C₄	—	268	4	no	—
2600	C₂×C₄	—	268	2	no	—
2601	C₂×C₄	—	268	2	no	—
2602	C₂×C₄	—	268	2	no	—
2603	C₂×C₄	—	268	4	no	—
2604	C₂×C₄	—	268	4	no	—
2605	C₂×C₄	—	67	1	no	—
2606	C₂×C₄	—	67	1	no	—
2607	C₂×C₄	—	67	4	no	—
2608	C₂×C₄	—	67	4	no	—
2609	C₂×C₄	—	67	1	no	—
2610	C₂×C₄	—	67	2	no	—
2611	C₂×C₄	—	67	1	no	—
2612	C₂×C₄	—	67	4	no	—
2613	C₂×C₄	—	67	1	no	—
2614	C₂×C₄	—	67	1	no	—
2615	C₂×C₄	—	67	2	no	—
2616	C₂×C₄	—	67	2	no	—
2617	C₂×C₄	—	67	4	no	—
2618	C₂×C₄	—	67	2	no	—
2619	C₂×C₄	—	67	2	no	—
2620	C₂×C₄	—	134	2	no	—
2621	C₂×C₄	—	134	4	no	—
2622	C₂×C₄	—	134	4	no	—
2623	C₂×C₄	—	134	2	no	—
2624	C₂×C₄	—	134	4	no	—
2625	C₂×C₄	—	134	2	no	—
2626	C₂×C₄	—	134	4	no	—
2627	C₂×C₄	—	134	4	no	—
2628	C₂×C₄	—	134	8	no	—
2629	C₂×C₄	—	134	4	no	—
2630	C₂×C₄	—	134	4	no	—
2631	C₂×C₄	—	134	2	no	—
2632	C₂×C₄	—	134	8	no	—
2633	C₂×C₄	—	134	8	no	—
2634	C₂×C₄	—	134	8	no	—
2635	C₂×C₄	—	134	2	no	—
2636	C₂×C₄	—	134	2	no	—
2637	C₂×C₄	—	134	2	no	—
2638	C₂×C₄	—	134	2	no	—
2639	C₂×C₄	—	134	4	no	—
2640	C₂×C₄	—	134	2	no	—
2641	C₂×C₄	—	134	4	no	—
2642	C₂×C₄	—	134	4	no	—
2643	C₂×C₄	—	134	2	no	—
2644	C₂×C₄	—	134	4	no	—
2645	C₂×C₄	—	134	8	no	—
2646	C₂×C₄	—	134	2	no	—
2647	C₂×C₄	—	134	2	no	—
2648	C₂×C₄	—	134	4	no	—
2649	C₂×C₄	—	134	2	no	—
2650	C₂×C₄	—	134	4	no	—
2651	C₂×C₄	—	134	4	no	—
2652	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2653	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2654	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2655	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2656	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2657	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2658	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2659	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2660	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2661	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2662	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2663	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2664	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2665	C₂²	—	2	1	no	—
2666	C₂²	—	2	2	no	—
2667	C₂²	—	2	1	no	—
2668	C₂²	—	2	2	no	—
2669	C₂²	—	2	2	no	—
2670	C₂²	—	2	2	no	—
2671	C₂²	—	2	2	no	—
2672	C₂²	—	2	2	no	—
2673	C₂²	—	2	2	no	—
2674	C₂²	—	2	2	no	—
2675	C₂²	—	4	8	no	—
2676	C₂²	—	268	8	no	—
2677	C₂²	—	268	8	no	—
2678	C₂²	—	268	8	no	—
2679	C₂²	—	268	8	no	—
2680	C₂²	—	268	8	no	—
2681	C₂²	—	67	2	no	—
2682	C₂²	—	67	2	no	—
2683	C₂²	—	67	2	no	—
2684	C₂²	—	67	4	no	—
2685	C₂²	—	67	2	no	—
2686	C₂²	—	134	8	no	—
2687	C₂²	—	134	16	no	—
2688	C₂²	—	134	2	no	—
2689	C₂²	—	134	2	no	—
2690	C₂²	—	134	2	no	—
2691	C₂²	—	134	2	no	—
2692	C₂²	—	134	2	no	—
2693	C₂²	—	134	2	no	—
2694	C₂²	—	134	1	no	—
2695	C₂²	—	134	2	no	—
2696	C₂²	—	134	1	no	—
2697	C₂²	—	134	2	no	—
2698	C₂²	C₂×#41×D₆₇	1	4	yes	—
2699	C₂²	2₋¹⁺⁴×D₆₇	1	2	yes	—
2700	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2701	C₄	—	2	2	no	—
2702	C₄	—	2	1	no	—
2703	C₄	—	2	4	no	—
2704	C₄	—	2	1	no	—
2705	C₄	—	2	2	no	—
2706	C₄	—	2	2	no	—
2707	C₄	—	2	4	no	—
2708	C₄	—	2	2	no	—
2709	C₄	—	2	1	no	—
2710	C₄	—	2	1	no	—
2711	C₄	—	2	2	no	—
2712	C₄	—	67	2	no	—
2713	C₄	—	67	2	no	—
2714	C₄	—	134	2	no	—
2715	C₄	—	134	1	no	—
2716	C₄	—	134	4	no	—
2717	C₄	—	134	1	no	—
2718	C₄	—	134	2	no	—
2719	C₄	—	134	2	no	—
2720	C₄	—	134	4	no	—
2721	C₄	—	134	2	no	—
2722	C₄	—	134	1	no	—
2723	C₄	—	134	1	no	—
2724	C₄	—	134	2	no	—
2725	C₄	C₂×#41×D₆₇	1	2	yes	—
2726	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2727	C₂	—	2	2	no	—
2728	C₂	—	2	4	no	—
2729	C₂	—	4	2	no	—
2730	C₂	—	4	2	no	—
2731	C₂	—	268	2	no	—
2732	C₂	—	268	2	no	—
2733	C₂	—	67	4	no	—
2734	C₂	—	134	2	no	—
2735	C₂	—	134	4	no	—
2736	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
2737	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2738	C₂	C₂×2₋¹⁺⁴×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3520	C₂
hypercenter	#3520	D₆₇
hypocenter	C₆₇	C₂×#3520
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3520

Complements

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

N	H ≅ G/N	type
1. #22574261	C₂	semidirect
2. #22574260	C₂	semidirect
3. #22574259	C₂	semidirect
4. #22574258	C₂	semidirect
5. #22574257	C₂	semidirect
6. #22574256	C₂	semidirect
7. #22574255	C₂	semidirect
8. #22574254	C₂	semidirect
9. #22574253	C₂	semidirect
10. #22574252	C₂	semidirect
11. #22574251	C₂	semidirect
12. #22574250	C₂	semidirect
13. #22574249	C₂	semidirect
14. #22574248	C₂	semidirect
15. #22574247	C₂	semidirect
16. #22574246	C₂	semidirect
17. #22574245	C₂	semidirect
18. #556×D₆₇	C₂	semidirect
19. #554×D₆₇	C₂	semidirect
20. #552×D₆₇	C₂	semidirect
21. #551×D₆₇	C₂	semidirect
22. D₄×Q₈×D₆₇	C₂	semidirect
23. #548×D₆₇	C₂	semidirect
24. #547×D₆₇	C₂	semidirect
25. #547×D₆₇	C₂	semidirect
26. #546×D₆₇	C₂	semidirect
27. #542×D₆₇	C₂	semidirect
28. #539×D₆₇	C₂	semidirect
29. #533×D₆₇	C₂	semidirect
30. #529×D₆₇	C₂	semidirect
31. #525×D₆₇	C₂	semidirect
32. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
33. #520×D₆₇	C₂	semidirect
34. C₂×C₄×D₄×D₆₇	C₂	semidirect
35. C₆₇×#3520	C₂	semidirect
37. C₂×#41×D₆₇	C₂²	semidirect
38. C₂²×Q₈×D₆₇	C₂²	semidirect
41. #16864120	C₂²	semidirect
42. #16864119	C₂²	semidirect
43. #16864118	C₂²	semidirect
44. #16864117	C₂²	semidirect
45. #16864116	C₂²	semidirect
46. #16864115	C₂²	semidirect
47. #16864114	C₂²	semidirect
48. #16864113	C₂²	semidirect
49. #16864107	C₂²	semidirect
50. #16864106	C₂²	semidirect
51. #16864105	C₂²	semidirect
52. #16864104	C₂²	semidirect
53. #16864104	C₂²	semidirect
54. #16864103	C₂²	semidirect
55. #16864102	C₂²	semidirect
56. #16864101	C₂²	semidirect
57. #16864101	C₂²	semidirect
58. #16864100	C₂²	semidirect
59. #16864100	C₂²	semidirect
60. #16864088	C₂²	semidirect
61. #16864087	C₂²	semidirect
62. #16864086	C₂²	semidirect
63. #16864085	C₂²	semidirect
64. #16864084	C₂²	semidirect
65. #16864083	C₂²	semidirect
66. #16864082	C₂²	semidirect
67. #16864081	C₂²	semidirect
68. #16864080	C₂²	semidirect
69. #16864079	C₂²	semidirect
70. #16864078	C₂²	semidirect
71. #16864077	C₂²	semidirect
72. #16864076	C₂²	semidirect
73. #16864075	C₂²	semidirect
74. #16864075	C₂²	semidirect
75. #16864074	C₂²	semidirect
76. #16864073	C₂²	semidirect
77. #16864073	C₂²	semidirect
78. #16864072	C₂²	semidirect
79. #16864072	C₂²	semidirect
80. #16864071	C₂²	semidirect
81. #16864071	C₂²	semidirect
82. #16864070	C₂²	semidirect
83. #16864070	C₂²	semidirect
84. #16864069	C₂²	semidirect
85. #16864069	C₂²	semidirect
86. Q₈×D₂₆₈	C₂²	semidirect
87. D₄×Dic₁₃₄	C₂²	semidirect
88. D₄×Dic₁₃₄	C₂²	semidirect
89. #16864061	C₂²	semidirect
90. #16864061	C₂²	semidirect
91. Q₈×C₂²⋊D₆₇	C₂²	semidirect
92. #16864059	C₂²	semidirect
93. #16864059	C₂²	semidirect
94. #16864058	C₂²	semidirect
95. #16864057	C₂²	semidirect
96. #16864056	C₂²	semidirect
97. #16864056	C₂²	semidirect
98. #16864055	C₂²	semidirect
99. #16864055	C₂²	semidirect
100. #16864054	C₂²	semidirect
101. #16864054	C₂²	semidirect
102. #16864053	C₂²	semidirect
103. #16864052	C₂²	semidirect
104. #16864052	C₂²	semidirect
105. #16864051	C₂²	semidirect
106. #16864051	C₂²	semidirect
107. #16864050	C₂²	semidirect
108. #16864050	C₂²	semidirect
109. #16864049	C₂²	semidirect
110. #16864049	C₂²	semidirect
111. #16864048	C₂²	semidirect
112. #16864048	C₂²	semidirect
113. #16864047	C₂²	semidirect
114. #16864047	C₂²	semidirect
115. #16864046	C₂²	semidirect
116. #16864046	C₂²	semidirect
117. #16864045	C₂²	semidirect
118. #16864045	C₂²	semidirect
119. #16864044	C₂²	semidirect
120. #16864044	C₂²	semidirect
121. #16864043	C₂²	semidirect
122. #16864042	C₂²	semidirect
123. #16864041	C₂²	semidirect
124. #16864040	C₂²	semidirect
125. #16864039	C₂²	semidirect
126. #16864038	C₂²	semidirect
127. #16864037	C₂²	semidirect
128. #16864036	C₂²	semidirect
129. #16864035	C₂²	semidirect
130. #16864034	C₂²	semidirect
131. #16864033	C₂²	semidirect
132. #16864020	C₂²	semidirect
133. #16864019	C₂²	semidirect
134. #16864018	C₂²	semidirect
135. #16864017	C₂²	semidirect
136. #16864016	C₂²	semidirect
137. #16864015	C₂²	semidirect
138. #16864014	C₂²	semidirect
139. #16864013	C₂²	semidirect
140. #16864012	C₂²	semidirect
141. #16864011	C₂²	semidirect
142. #16864010	C₂²	semidirect
143. #16863995	C₂²	semidirect
144. #16863994	C₂²	semidirect
145. #16863994	C₂²	semidirect
146. #16863993	C₂²	semidirect
147. #16863992	C₂²	semidirect
148. #16863992	C₂²	semidirect
149. #16863991	C₂²	semidirect
150. #16863990	C₂²	semidirect
151. #16863990	C₂²	semidirect
152. #16863989	C₂²	semidirect
153. #16863989	C₂²	semidirect
154. #16863988	C₂²	semidirect
155. #16863988	C₂²	semidirect
156. #16863987	C₂²	semidirect
157. #16863987	C₂²	semidirect
158. #16863953	C₂²	semidirect
159. #16863952	C₂²	semidirect
160. #16863951	C₂²	semidirect
161. #16863951	C₂²	semidirect
162. #16863950	C₂²	semidirect
163. #16863950	C₂²	semidirect
164. #16863949	C₂²	semidirect
165. #16863948	C₂²	semidirect
166. #16863948	C₂²	semidirect
167. C₄⋊Q₈×D₆₇	C₂²	semidirect
168. C₄⋊Q₈×D₆₇	C₂²	semidirect
169. C₄⋊Q₈×D₆₇	C₂²	semidirect
170. #16863933	C₂²	semidirect
171. #16863932	C₂²	semidirect
172. #16863931	C₂²	semidirect
173. #16863930	C₂²	semidirect
174. #16863929	C₂²	semidirect
175. #16863928	C₂²	semidirect
176. #16863927	C₂²	semidirect
177. #16863926	C₂²	semidirect
178. #16863925	C₂²	semidirect
179. #16863924	C₂²	semidirect
180. #16863923	C₂²	semidirect
181. #126×D₆₇	C₂²	semidirect
182. #126×D₆₇	C₂²	semidirect
183. #126×D₆₇	C₂²	semidirect
184. #125×D₆₇	C₂²	semidirect
185. #125×D₆₇	C₂²	semidirect
186. #125×D₆₇	C₂²	semidirect
188. #124×D₆₇	C₂²	semidirect
189. #124×D₆₇	C₂²	semidirect
190. #16863909	C₂²	semidirect
191. #16863909	C₂²	semidirect
192. #16863908	C₂²	semidirect
193. #16863907	C₂²	semidirect
194. #16863906	C₂²	semidirect
195. #16863906	C₂²	semidirect
196. #16863905	C₂²	semidirect
197. #16863905	C₂²	semidirect
198. #16863904	C₂²	semidirect
199. #16863903	C₂²	semidirect
200. #16863902	C₂²	semidirect
203. #123×D₆₇	C₂²	semidirect
204. #123×D₆₇	C₂²	semidirect
205. #123×D₆₇	C₂²	semidirect
206. C₂×#14524023	C₂²	semidirect
207. C₂×#14524022	C₂²	semidirect
208. C₂×#14524021	C₂²	semidirect
209. C₂×#14524020	C₂²	semidirect
210. C₂×#14524019	C₂²	semidirect
215. C₂²⋊Q₈×D₆₇	C₂²	semidirect
216. C₂²⋊Q₈×D₆₇	C₂²	semidirect
217. C₂²⋊Q₈×D₆₇	C₂²	semidirect
218. C₂²⋊Q₈×D₆₇	C₂²	semidirect
219. C₂²⋊Q₈×D₆₇	C₂²	semidirect
220. C₂²⋊Q₈×D₆₇	C₂²	semidirect
221. C₂²⋊Q₈×D₆₇	C₂²	semidirect
222. C₂²⋊Q₈×D₆₇	C₂²	semidirect
223. C₂²⋊Q₈×D₆₇	C₂²	semidirect
224. C₂²⋊Q₈×D₆₇	C₂²	semidirect
225. C₂²⋊Q₈×D₆₇	C₂²	semidirect
226. C₂²⋊Q₈×D₆₇	C₂²	semidirect
227. C₂²⋊Q₈×D₆₇	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
233. #16863879	C₂²	semidirect
234. #16863878	C₂²	semidirect
235. #16863878	C₂²	semidirect
236. #16863877	C₂²	semidirect
237. #16863877	C₂²	semidirect
238. #16863876	C₂²	semidirect
239. #16863876	C₂²	semidirect
240. #16863875	C₂²	semidirect
241. #16863875	C₂²	semidirect
242. #16863875	C₂²	semidirect
243. #16863875	C₂²	semidirect
244. C₄×Q₈×D₆₇	C₂²	semidirect
245. C₄×Q₈×D₆₇	C₂²	semidirect
246. C₄×Q₈×D₆₇	C₂²	semidirect
247. C₄×Q₈×D₆₇	C₂²	semidirect
248. C₂×C₄×D₂₆₈	C₂²	semidirect
249. C₂×D₄×Dic₆₇	C₂²	semidirect
250. C₂×#14524005	C₂²	semidirect
251. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
252. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
262. C₄×D₄×D₆₇	C₂²	semidirect
263. C₄×D₄×D₆₇	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
272. #117×D₆₇	C₂²	semidirect
273. #117×D₆₇	C₂²	semidirect
274. #117×D₆₇	C₂²	semidirect
276. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
277. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
278. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
282. #556×C₆₇	C₂²	semidirect
283. #554×C₆₇	C₂²	semidirect
284. #552×C₆₇	C₂²	semidirect
285. #551×C₆₇	C₂²	semidirect
286. D₄×Q₈×C₆₇	C₂²	semidirect
287. #548×C₆₇	C₂²	semidirect
288. #547×C₆₇	C₂²	semidirect
289. #547×C₆₇	C₂²	semidirect
290. #546×C₆₇	C₂²	semidirect
291. #542×C₆₇	C₂²	semidirect
292. #539×C₆₇	C₂²	semidirect
293. #533×C₆₇	C₂²	semidirect
294. #529×C₆₇	C₂²	semidirect
295. #525×C₆₇	C₂²	semidirect
296. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
297. #520×C₆₇	C₂²	semidirect
298. C₂×C₄×D₄×C₆₇	C₂²	semidirect
301. C₂×#11761629	C₂³	semidirect
304. C₂×#11761628	C₂³	semidirect
305. C₂×#11761628	C₂³	semidirect
308. C₂×#11761627	C₂³	semidirect
309. C₂×#11761627	C₂³	semidirect
312. C₂²×Dic₁₃₄	C₂³	semidirect
313. C₂²×Dic₁₃₄	C₂³	semidirect
319. C₂×Q₈×D₆₇	C₂³	semidirect
320. C₂×Q₈×D₆₇	C₂³	semidirect
321. C₂×Q₈×D₆₇	C₂³	semidirect
355. #14524043	C₂³	semidirect
356. #14524043	C₂³	semidirect
357. #14524043	C₂³	semidirect
358. #14524042	C₂³	semidirect
359. #14524042	C₂³	semidirect
360. #14524042	C₂³	semidirect
361. #14524042	C₂³	semidirect
362. #14524042	C₂³	semidirect
363. #14524042	C₂³	semidirect
364. #14524042	C₂³	semidirect
365. #14524041	C₂³	semidirect
366. #14524041	C₂³	semidirect
367. #14524041	C₂³	semidirect
368. #14524038	C₂³	semidirect
369. #14524038	C₂³	semidirect
370. #14524038	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. #14524037	C₂³	semidirect
378. #14524037	C₂³	semidirect
379. #14524037	C₂³	semidirect
380. #14524036	C₂³	semidirect
381. #14524036	C₂³	semidirect
382. #14524036	C₂³	semidirect
383. #14524036	C₂³	semidirect
384. #14524036	C₂³	semidirect
385. #14524036	C₂³	semidirect
386. #14524036	C₂³	semidirect
387. #14524036	C₂³	semidirect
388. #14524036	C₂³	semidirect
389. #14524035	C₂³	semidirect
390. #14524035	C₂³	semidirect
391. #14524035	C₂³	semidirect
392. #14524034	C₂³	semidirect
393. #14524034	C₂³	semidirect
394. #14524034	C₂³	semidirect
395. #14524034	C₂³	semidirect
396. #14524034	C₂³	semidirect
397. #14524034	C₂³	semidirect
398. #14524033	C₂³	semidirect
399. #14524033	C₂³	semidirect
400. #14524033	C₂³	semidirect
401. #14524033	C₂³	semidirect
402. #14524033	C₂³	semidirect
403. #14524033	C₂³	semidirect
404. #14524033	C₂³	semidirect
405. #14524033	C₂³	semidirect
407. #14524032	C₂³	semidirect
408. #14524032	C₂³	semidirect
410. #14524031	C₂³	semidirect
411. #14524031	C₂³	semidirect
413. #14524030	C₂³	semidirect
414. #14524030	C₂³	semidirect
417. #14524029	C₂³	semidirect
418. #14524029	C₂³	semidirect
419. #14524029	C₂³	semidirect
420. #14524029	C₂³	semidirect
421. #14524029	C₂³	semidirect
422. #14524029	C₂³	semidirect
427. #14524028	C₂³	semidirect
428. #14524028	C₂³	semidirect
429. #14524028	C₂³	semidirect
430. #14524028	C₂³	semidirect
431. #14524028	C₂³	semidirect
432. #14524028	C₂³	semidirect
435. #14524027	C₂³	semidirect
436. #14524027	C₂³	semidirect
437. #14524027	C₂³	semidirect
440. #14524026	C₂³	semidirect
441. #14524026	C₂³	semidirect
442. #14524026	C₂³	semidirect
447. #14524025	C₂³	semidirect
448. #14524025	C₂³	semidirect
449. #14524025	C₂³	semidirect
450. #14524025	C₂³	semidirect
451. #14524025	C₂³	semidirect
452. #14524025	C₂³	semidirect
455. #14524024	C₂³	semidirect
456. #14524024	C₂³	semidirect
457. #14524024	C₂³	semidirect
462. #14524023	C₂³	semidirect
463. #14524023	C₂³	semidirect
464. #14524023	C₂³	semidirect
465. #14524023	C₂³	semidirect
466. #14524023	C₂³	semidirect
467. #14524023	C₂³	semidirect
468. #14524023	C₂³	semidirect
473. #14524022	C₂³	semidirect
474. #14524022	C₂³	semidirect
475. #14524022	C₂³	semidirect
476. #14524022	C₂³	semidirect
477. #14524022	C₂³	semidirect
478. #14524022	C₂³	semidirect
479. #14524022	C₂³	semidirect
485. #14524021	C₂³	semidirect
486. #14524021	C₂³	semidirect
487. #14524021	C₂³	semidirect
488. #14524021	C₂³	semidirect
489. #14524021	C₂³	semidirect
490. #14524021	C₂³	semidirect
491. #14524021	C₂³	semidirect
492. #14524021	C₂³	semidirect
493. #14524021	C₂³	semidirect
494. #14524021	C₂³	semidirect
500. #14524020	C₂³	semidirect
501. #14524020	C₂³	semidirect
502. #14524020	C₂³	semidirect
503. #14524020	C₂³	semidirect
504. #14524020	C₂³	semidirect
505. #14524020	C₂³	semidirect
506. #14524020	C₂³	semidirect
507. #14524020	C₂³	semidirect
508. #14524020	C₂³	semidirect
509. #14524020	C₂³	semidirect
514. #14524019	C₂³	semidirect
515. #14524019	C₂³	semidirect
516. #14524019	C₂³	semidirect
517. #14524019	C₂³	semidirect
518. #14524019	C₂³	semidirect
519. #14524019	C₂³	semidirect
520. #14524019	C₂³	semidirect
524. #14524018	C₂³	semidirect
528. #14524017	C₂³	semidirect
533. #14524016	C₂³	semidirect
538. #14524015	C₂³	semidirect
542. #14524014	C₂³	semidirect
550. Q₈×Dic₆₇	C₂³	semidirect
551. Q₈×Dic₆₇	C₂³	semidirect
552. Q₈×Dic₆₇	C₂³	semidirect
553. Q₈×Dic₆₇	C₂³	semidirect
554. C₄×Dic₁₃₄	C₂³	semidirect
555. C₄×Dic₁₃₄	C₂³	semidirect
556. C₄×Dic₁₃₄	C₂³	semidirect
557. C₄×Dic₁₃₄	C₂³	semidirect
558. C₄×Dic₁₃₄	C₂³	semidirect
559. C₄×Dic₁₃₄	C₂³	semidirect
560. C₄×Dic₁₃₄	C₂³	semidirect
561. C₄×Dic₁₃₄	C₂³	semidirect
562. #14524008	C₂³	semidirect
563. #14524008	C₂³	semidirect
564. #14524008	C₂³	semidirect
565. #14524008	C₂³	semidirect
566. #14524008	C₂³	semidirect
567. #14524008	C₂³	semidirect
568. #14524008	C₂³	semidirect
569. #14524008	C₂³	semidirect
579. C₄×D₂₆₈	C₂³	semidirect
580. C₄×D₂₆₈	C₂³	semidirect
581. C₄×D₂₆₈	C₂³	semidirect
591. D₄×Dic₆₇	C₂³	semidirect
592. D₄×Dic₆₇	C₂³	semidirect
593. D₄×Dic₆₇	C₂³	semidirect
603. #14524005	C₂³	semidirect
604. #14524005	C₂³	semidirect
605. #14524005	C₂³	semidirect
619. C₄×C₂²⋊D₆₇	C₂³	semidirect
620. C₄×C₂²⋊D₆₇	C₂³	semidirect
621. C₄×C₂²⋊D₆₇	C₂³	semidirect
622. C₄×C₂²⋊D₆₇	C₂³	semidirect
623. C₄×C₂²⋊D₆₇	C₂³	semidirect
637. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
638. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
639. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
640. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
641. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
643. #14524002	C₂³	semidirect
644. #14524002	C₂³	semidirect
645. #14524002	C₂³	semidirect
648. #14524001	C₂³	semidirect
649. #14524001	C₂³	semidirect
650. #14524001	C₂³	semidirect
651. #14524001	C₂³	semidirect
652. #14524001	C₂³	semidirect
653. #14524001	C₂³	semidirect
655. #14524000	C₂³	semidirect
656. #14524000	C₂³	semidirect
657. #14524000	C₂³	semidirect
658. #14524000	C₂³	semidirect
659. #14524000	C₂³	semidirect
661. #14523999	C₂³	semidirect
662. #14523999	C₂³	semidirect
663. #14523999	C₂³	semidirect
664. #14523999	C₂³	semidirect
665. #14523999	C₂³	semidirect
667. C₂×C₄⋊Dic₆₇	C₂³	semidirect
668. C₂×C₄⋊Dic₆₇	C₂³	semidirect
669. C₂×C₄⋊Dic₆₇	C₂³	semidirect
671. C₂×Dic₆₇⋊C₄	C₂³	semidirect
672. C₂×Dic₆₇⋊C₄	C₂³	semidirect
673. C₂×Dic₆₇⋊C₄	C₂³	semidirect
674. C₂×Dic₆₇⋊C₄	C₂³	semidirect
697. C₄⋊C₄×D₆₇	C₂³	semidirect
698. C₄⋊C₄×D₆₇	C₂³	semidirect
699. C₄⋊C₄×D₆₇	C₂³	semidirect
700. C₄⋊C₄×D₆₇	C₂³	semidirect
701. C₄⋊C₄×D₆₇	C₂³	semidirect
702. C₄⋊C₄×D₆₇	C₂³	semidirect
703. C₄⋊C₄×D₆₇	C₂³	semidirect
704. C₄⋊C₄×D₆₇	C₂³	semidirect
705. C₄⋊C₄×D₆₇	C₂³	semidirect
706. C₄⋊C₄×D₆₇	C₂³	semidirect
751. C₂×#41×C₆₇	C₂³	semidirect
752. C₂²×Q₈×C₆₇	C₂³	semidirect
755. C₄⋊Q₈×C₆₇	C₂³	semidirect
756. C₄⋊Q₈×C₆₇	C₂³	semidirect
757. C₄⋊Q₈×C₆₇	C₂³	semidirect
758. #126×C₆₇	C₂³	semidirect
759. #126×C₆₇	C₂³	semidirect
760. #126×C₆₇	C₂³	semidirect
761. #125×C₆₇	C₂³	semidirect
762. #125×C₆₇	C₂³	semidirect
763. #125×C₆₇	C₂³	semidirect
765. #124×C₆₇	C₂³	semidirect
766. #124×C₆₇	C₂³	semidirect
769. #123×C₆₇	C₂³	semidirect
770. #123×C₆₇	C₂³	semidirect
771. #123×C₆₇	C₂³	semidirect
776. C₂²⋊Q₈×C₆₇	C₂³	semidirect
777. C₂²⋊Q₈×C₆₇	C₂³	semidirect
778. C₂²⋊Q₈×C₆₇	C₂³	semidirect
779. C₂²⋊Q₈×C₆₇	C₂³	semidirect
780. C₂²⋊Q₈×C₆₇	C₂³	semidirect
781. C₂²⋊Q₈×C₆₇	C₂³	semidirect
782. C₂²⋊Q₈×C₆₇	C₂³	semidirect
786. #121×C₆₇	C₂³	semidirect
788. C₄×Q₈×C₆₇	C₂³	semidirect
789. C₄×Q₈×C₆₇	C₂³	semidirect
790. C₄×Q₈×C₆₇	C₂³	semidirect
791. C₄×Q₈×C₆₇	C₂³	semidirect
801. C₄×D₄×C₆₇	C₂³	semidirect
802. C₄×D₄×C₆₇	C₂³	semidirect
803. C₄×D₄×C₆₇	C₂³	semidirect
805. #117×C₆₇	C₂³	semidirect
806. #117×C₆₇	C₂³	semidirect
807. #117×C₆₇	C₂³	semidirect
809. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
810. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
811. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
882. D₄×D₆₇	#41	semidirect
1180. D₄×C₆₇	C₂×#41	semidirect
1216. C₂²⋊D₆₇	C₂×#41	semidirect
1248. D₂₆₈	C₂×#41	semidirect
1369. D₆₇	#3520	direct (N × H)
1387. #3520	D₆₇	direct (N × H)
1405. C₆₇	C₂×#3520	semidirect
1419. #556	C₂×D₆₇	semidirect
1431. #554	C₂×D₆₇	semidirect
1443. #552	C₂×D₆₇	semidirect
1459. #551	C₂×D₆₇	semidirect
1468. D₄×Q₈	C₂×D₆₇	semidirect
1480. #548	C₂×D₆₇	semidirect
1497. #547	C₂×D₆₇	semidirect
1498. #547	C₂×D₆₇	semidirect
1510. #546	C₂×D₆₇	semidirect
1522. #542	C₂×D₆₇	semidirect
1538. #539	C₂×D₆₇	semidirect
1548. #533	C₂×D₆₇	semidirect
1563. #529	C₂×D₆₇	semidirect
1584. #525	C₂×D₆₇	semidirect
1612. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1629. #520	C₂×D₆₇	semidirect
1657. C₂×C₄×D₄	C₂×D₆₇	semidirect
1683. C₂×#41	C₂²×D₆₇	semidirect
1694. C₂²×Q₈	C₂²×D₆₇	semidirect
1743. C₄⋊Q₈	C₂²×D₆₇	semidirect
1744. C₄⋊Q₈	C₂²×D₆₇	semidirect
1745. C₄⋊Q₈	C₂²×D₆₇	semidirect
1767. #126	C₂²×D₆₇	semidirect
1768. #126	C₂²×D₆₇	semidirect
1769. #126	C₂²×D₆₇	semidirect
1787. #125	C₂²×D₆₇	semidirect
1788. #125	C₂²×D₆₇	semidirect
1789. #125	C₂²×D₆₇	semidirect
1808. #124	C₂²×D₆₇	semidirect
1809. #124	C₂²×D₆₇	semidirect
1847. #123	C₂²×D₆₇	semidirect
1848. #123	C₂²×D₆₇	semidirect
1849. #123	C₂²×D₆₇	semidirect
1917. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1918. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1919. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1920. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1921. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1922. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1923. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1949. #121	C₂²×D₆₇	semidirect
1978. C₄×Q₈	C₂²×D₆₇	semidirect
1979. C₄×Q₈	C₂²×D₆₇	semidirect
1980. C₄×Q₈	C₂²×D₆₇	semidirect
1981. C₄×Q₈	C₂²×D₆₇	semidirect
2063. C₄×D₄	C₂²×D₆₇	semidirect
2064. C₄×D₄	C₂²×D₆₇	semidirect
2065. C₄×D₄	C₂²×D₆₇	semidirect
2091. #117	C₂²×D₆₇	semidirect
2092. #117	C₂²×D₆₇	semidirect
2093. #117	C₂²×D₆₇	semidirect
2136. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2137. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2138. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2577. D₄	#41×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574261	2
#22574260	2
#22574259	2
#22574258	2
#22574257	2
#22574256	2
#22574255	2
#22574254	2
#22574253	2
#22574252	2
#22574251	2
#22574250	2
#22574249	2
#22574248	2
#22574247	2
#22574246	2
#22574245	2
#556×D₆₇	2
#554×D₆₇	2
#552×D₆₇	2
#551×D₆₇	2
D₄×Q₈×D₆₇	2
#548×D₆₇	2
#547×D₆₇	2
#546×D₆₇	2
#542×D₆₇	2
#539×D₆₇	2
#533×D₆₇	2
#529×D₆₇	2
#525×D₆₇	2
C₂×C₂²⋊Q₈×D₆₇	2
#520×D₆₇	2
C₂×C₄×D₄×D₆₇	2
C₆₇×#3520	2
C₂×#3520	67

Subgroups — #3520×D67 #31763830

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3520×D₆₇ #31763830