Subgroups — #3505×D₆₇ #31763746

Order 17152.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574050	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574049	C₂	1	2	yes	maximal, complemented
3	#22574048	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574047	C₂	1	2	yes	maximal, complemented
5	#22574046	C₂	1	2	yes	maximal, complemented
6	#22574045	C₂	1	2	yes	maximal, complemented
7	#22574044	C₂	1	2	yes	maximal, complemented
8	#22574043	C₂	1	1	yes	maximal, characteristic, complemented
9	#22574042	C₂	1	4	yes	maximal, complemented
10	#22574041	C₂	1	2	yes	maximal, complemented
11	#22574040	C₂	1	4	yes	maximal, complemented
12	#22574039	C₂	1	2	yes	maximal, complemented
13	#22574038	C₂	1	2	yes	maximal, complemented
14	#22574037	C₂	1	2	yes	maximal, complemented
15	#22574036	C₂	1	2	yes	maximal, complemented
16	#553×D₆₇	C₂	1	4	yes	maximal, complemented
17	#553×D₆₇	C₂	1	2	yes	maximal, complemented
18	#552×D₆₇	C₂	1	2	yes	maximal, complemented
19	#551×D₆₇	C₂	1	4	yes	maximal, complemented
20	#548×D₆₇	C₂	1	2	yes	maximal, complemented
21	#546×D₆₇	C₂	1	2	yes	maximal, complemented
22	#539×D₆₇	C₂	1	2	yes	maximal, complemented
23	#538×D₆₇	C₂	1	2	yes	maximal, complemented
24	#534×D₆₇	C₂	1	2	yes	maximal, complemented
25	#529×D₆₇	C₂	1	2	yes	maximal, complemented
26	#525×D₆₇	C₂	1	2	yes	maximal, complemented
27	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#121×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#518×D₆₇	C₂	1	2	yes	maximal, complemented
30	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#3505	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
33	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
35	C₂²×D₄×D₆₇	C₂²	1	2	yes	—
36	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
37	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
39	#16864099	C₂²	1	4	yes	complemented
40	#16864099	C₂²	1	2	yes	complemented
41	#16864098	C₂²	1	4	yes	complemented
42	#16864098	C₂²	1	2	yes	complemented
43	#16864097	C₂²	1	4	yes	complemented
44	#16864097	C₂²	1	4	yes	complemented
45	#16864097	C₂²	1	4	yes	complemented
46	#16864096	C₂²	1	2	yes	complemented
47	#16864096	C₂²	1	4	yes	complemented
48	#16864095	C₂²	1	4	yes	complemented
49	#16864095	C₂²	1	4	yes	complemented
50	#16864095	C₂²	1	4	yes	complemented
51	#16864094	C₂²	1	2	yes	complemented
52	#16864094	C₂²	1	4	yes	complemented
53	#16864093	C₂²	1	2	yes	complemented
54	#16864093	C₂²	1	4	yes	complemented
55	#16864092	C₂²	1	4	yes	complemented
56	#16864092	C₂²	1	2	yes	complemented
57	#16864091	C₂²	1	4	yes	complemented
58	#16864091	C₂²	1	4	yes	complemented
59	#16864091	C₂²	1	4	yes	complemented
60	#16864090	C₂²	1	2	yes	complemented
61	#16864090	C₂²	1	4	yes	complemented
62	#16864089	C₂²	1	4	yes	complemented
63	#16864089	C₂²	1	4	yes	complemented
64	#16864089	C₂²	1	4	yes	complemented
65	#16864088	C₂²	1	2	yes	complemented
66	#16864087	C₂²	1	2	yes	complemented
67	#16864086	C₂²	1	2	yes	complemented
68	#16864085	C₂²	1	2	yes	complemented
69	#16864084	C₂²	1	2	yes	complemented
70	#16864083	C₂²	1	4	yes	complemented
71	#16864082	C₂²	1	4	yes	complemented
72	#16864081	C₂²	1	2	yes	complemented
73	#16864080	C₂²	1	2	yes	complemented
74	#16864079	C₂²	1	4	yes	complemented
75	#16864078	C₂²	1	4	yes	complemented
76	#16864077	C₂²	1	4	yes	complemented
77	#16864076	C₂²	1	4	yes	complemented
78	#16864075	C₂²	1	4	yes	complemented
79	#16864075	C₂²	1	4	yes	complemented
80	#16864074	C₂²	1	4	yes	complemented
81	#16864073	C₂²	1	4	yes	complemented
82	#16864073	C₂²	1	4	yes	complemented
83	#16864072	C₂²	1	4	yes	complemented
84	#16864072	C₂²	1	4	yes	complemented
85	#16864071	C₂²	1	4	yes	complemented
86	#16864071	C₂²	1	4	yes	complemented
87	#16864070	C₂²	1	4	yes	complemented
88	#16864070	C₂²	1	4	yes	complemented
89	#16864069	C₂²	1	4	yes	complemented
90	#16864069	C₂²	1	4	yes	complemented
91	#16864058	C₂²	1	2	yes	complemented
92	#16864057	C₂²	1	2	yes	complemented
93	#16864056	C₂²	1	2	yes	complemented
94	#16864056	C₂²	1	4	yes	complemented
95	#16864055	C₂²	1	2	yes	complemented
96	#16864055	C₂²	1	4	yes	complemented
97	#16864054	C₂²	1	2	yes	complemented
98	#16864054	C₂²	1	4	yes	complemented
99	#16864053	C₂²	1	2	yes	complemented
100	#16864052	C₂²	1	2	yes	complemented
101	#16864052	C₂²	1	4	yes	complemented
102	#16864043	C₂²	1	2	yes	complemented
103	#16864042	C₂²	1	2	yes	complemented
104	#16864041	C₂²	1	2	yes	complemented
105	#16864040	C₂²	1	2	yes	complemented
106	#16864039	C₂²	1	2	yes	complemented
107	#16864038	C₂²	1	4	yes	complemented
108	#16864037	C₂²	1	2	yes	complemented
109	#16864036	C₂²	1	4	yes	complemented
110	#16864035	C₂²	1	4	yes	complemented
111	#16864034	C₂²	1	2	yes	complemented
112	#16864033	C₂²	1	4	yes	complemented
113	#16863995	C₂²	1	2	yes	complemented
114	#16863994	C₂²	1	4	yes	complemented
115	#16863993	C₂²	1	2	yes	complemented
116	#16863992	C₂²	1	4	yes	complemented
117	#16863991	C₂²	1	2	yes	complemented
118	#16863990	C₂²	1	4	yes	complemented
119	#16863989	C₂²	1	4	yes	complemented
120	#16863988	C₂²	1	4	yes	complemented
121	#16863987	C₂²	1	4	yes	complemented
122	#16863986	C₂²	1	2	yes	complemented
123	#16863985	C₂²	1	4	yes	complemented
124	#16863984	C₂²	1	2	yes	complemented
125	#16863983	C₂²	1	2	yes	complemented
126	#16863982	C₂²	1	4	yes	complemented
127	#16863981	C₂²	1	4	yes	complemented
128	#16863980	C₂²	1	4	yes	complemented
129	#16863979	C₂²	1	4	yes	complemented
130	#16863978	C₂²	1	4	yes	complemented
131	#16863958	C₂²	1	2	yes	complemented
132	#16863957	C₂²	1	4	yes	complemented
133	#16863957	C₂²	1	4	yes	complemented
134	#16863956	C₂²	1	4	yes	complemented
135	#16863956	C₂²	1	4	yes	complemented
136	#16863955	C₂²	1	2	yes	complemented
137	#16863955	C₂²	1	2	yes	complemented
138	#16863954	C₂²	1	4	yes	complemented
139	#16863954	C₂²	1	4	yes	complemented
140	#16863933	C₂²	1	2	yes	complemented
141	#16863932	C₂²	1	2	yes	complemented
142	#16863931	C₂²	1	2	yes	complemented
143	#16863930	C₂²	1	2	yes	complemented
144	#16863929	C₂²	1	4	yes	complemented
145	#16863928	C₂²	1	2	yes	complemented
146	#16863927	C₂²	1	2	yes	complemented
147	#16863926	C₂²	1	4	yes	complemented
148	#16863925	C₂²	1	2	yes	complemented
149	#16863924	C₂²	1	4	yes	complemented
150	#16863923	C₂²	1	4	yes	complemented
151	#126×D₆₇	C₂²	1	4	yes	complemented
152	#126×D₆₇	C₂²	1	4	yes	complemented
153	#126×D₆₇	C₂²	1	4	yes	complemented
154	#125×D₆₇	C₂²	1	2	yes	complemented
155	#125×D₆₇	C₂²	1	4	yes	complemented
156	#124×D₆₇	C₂²	1	2	yes	complemented
157	#124×D₆₇	C₂²	1	4	yes	complemented
158	#16863909	C₂²	1	2	yes	complemented
159	#16863909	C₂²	1	2	yes	complemented
160	#16863908	C₂²	1	2	yes	complemented
161	#16863907	C₂²	1	2	yes	complemented
162	#16863906	C₂²	1	2	yes	complemented
163	#16863906	C₂²	1	2	yes	complemented
164	#16863905	C₂²	1	4	yes	complemented
165	#16863905	C₂²	1	4	yes	complemented
166	#16863904	C₂²	1	4	yes	complemented
167	#16863903	C₂²	1	2	yes	complemented
168	#16863902	C₂²	1	4	yes	complemented
169	#123×D₆₇	C₂²	1	4	yes	—
170	#123×D₆₇	C₂²	1	4	yes	complemented
171	#123×D₆₇	C₂²	1	4	yes	complemented
172	#123×D₆₇	C₂²	1	4	yes	complemented
173	#123×D₆₇	C₂²	1	4	yes	complemented
174	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14524021	C₂²	1	2	yes	complemented
177	C₂×#14524020	C₂²	1	2	yes	complemented
178	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
180	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
181	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
182	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
183	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
184	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
185	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
186	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
187	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
188	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
189	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
190	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
191	C₂×#14524016	C₂²	1	2	yes	complemented
192	C₂×#14524015	C₂²	1	2	yes	complemented
193	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
194	#121×D₆₇	C₂²	1	2	yes	—
195	#121×D₆₇	C₂²	1	2	yes	—
196	#121×D₆₇	C₂²	1	2	yes	complemented
197	#121×D₆₇	C₂²	1	2	yes	complemented
198	#121×D₆₇	C₂²	1	2	yes	complemented
199	#121×D₆₇	C₂²	1	4	yes	complemented
200	#121×D₆₇	C₂²	1	2	yes	complemented
201	#121×D₆₇	C₂²	1	4	yes	complemented
202	#121×D₆₇	C₂²	1	2	yes	complemented
203	#121×D₆₇	C₂²	1	4	yes	complemented
204	#121×D₆₇	C₂²	1	2	yes	complemented
205	#121×D₆₇	C₂²	1	2	yes	complemented
206	#120×D₆₇	C₂²	1	4	yes	—
207	#120×D₆₇	C₂²	1	4	yes	complemented
208	#16863871	C₂²	1	2	yes	complemented
209	#16863870	C₂²	1	4	yes	complemented
210	#16863869	C₂²	1	2	yes	complemented
211	#16863869	C₂²	1	2	yes	complemented
212	#16863869	C₂²	1	4	yes	complemented
213	#16863868	C₂²	1	4	yes	complemented
214	#16863868	C₂²	1	4	yes	complemented
215	#16863868	C₂²	1	4	yes	complemented
216	#16863868	C₂²	1	4	yes	complemented
217	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
218	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
219	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
220	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
221	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
222	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
223	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
224	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
225	C₄×D₄×D₆₇	C₂²	1	2	yes	—
226	C₄×D₄×D₆₇	C₂²	1	2	yes	—
227	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
228	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
229	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
230	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
231	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
232	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
233	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
234	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
235	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
236	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
237	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
238	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
239	#117×D₆₇	C₂²	1	4	yes	complemented
240	#117×D₆₇	C₂²	1	2	yes	complemented
241	#117×D₆₇	C₂²	1	4	yes	complemented
242	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
243	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
244	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
245	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
246	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
248	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
249	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
250	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
251	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
252	#553×C₆₇	C₂²	1	2	yes	complemented
253	#553×C₆₇	C₂²	1	4	yes	complemented
254	#552×C₆₇	C₂²	1	2	yes	complemented
255	#551×C₆₇	C₂²	1	4	yes	complemented
256	#548×C₆₇	C₂²	1	2	yes	complemented
257	#546×C₆₇	C₂²	1	2	yes	complemented
258	#539×C₆₇	C₂²	1	2	yes	complemented
259	#538×C₆₇	C₂²	1	2	yes	complemented
260	#534×C₆₇	C₂²	1	2	yes	complemented
261	#529×C₆₇	C₂²	1	2	yes	complemented
262	#525×C₆₇	C₂²	1	2	yes	complemented
263	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
264	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	#518×C₆₇	C₂²	1	2	yes	complemented
266	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	2	yes	—
268	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
269	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
270	C₂×#11761629	C₂³	1	2	yes	complemented
271	C₂×#11761628	C₂³	1	4	yes	complemented
272	C₂×#11761628	C₂³	1	2	yes	complemented
273	C₂×#11761627	C₂³	1	4	yes	complemented
274	C₂×#11761627	C₂³	1	2	yes	complemented
275	#41×D₆₇	—	4	8	no	—
276	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
277	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
278	C₂×Q₈×D₆₇	—	4	4	no	—
279	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
280	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
281	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
282	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
283	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
284	C₂²×D₂₆₈	C₂³	1	2	yes	—
285	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
286	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
289	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
290	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
291	C₂×D₄×D₆₇	—	2	8	no	—
292	C₂×D₄×D₆₇	—	2	16	no	—
293	C₂×D₄×D₆₇	—	4	4	no	—
294	C₂×D₄×D₆₇	C₂³	1	2	yes	—
295	C₂×D₄×D₆₇	C₂³	1	4	yes	—
296	C₂×D₄×D₆₇	C₂³	1	2	yes	—
297	C₂×D₄×D₆₇	C₂³	1	4	yes	—
298	C₂×D₄×D₆₇	C₂³	1	2	yes	—
299	C₂×D₄×D₆₇	C₂³	1	2	yes	—
300	C₂×D₄×D₆₇	C₂³	1	2	yes	—
301	C₂×D₄×D₆₇	C₂³	1	4	yes	—
302	C₂×D₄×D₆₇	C₂³	1	4	yes	—
303	C₂×D₄×D₆₇	C₂³	1	4	yes	—
304	C₂×D₄×D₆₇	C₂³	1	4	yes	—
305	C₂×D₄×D₆₇	C₂³	1	2	yes	—
306	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
307	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
308	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
309	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
310	C₂²×C₄×D₆₇	—	4	4	no	—
311	C₂²×C₄×D₆₇	—	4	4	no	—
312	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
313	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
314	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
315	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
316	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
317	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
318	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
319	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
320	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
321	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
322	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
325	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
326	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
328	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
329	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
330	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
335	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
336	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic, complemented
337	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic, complemented
338	#14524038	C₂³	1	4	yes	complemented
339	#14524038	C₂³	1	4	yes	complemented
340	#14524038	C₂³	1	4	yes	complemented
341	#14524038	C₂³	1	4	yes	complemented
342	#14524038	C₂³	1	4	yes	complemented
343	#14524038	C₂³	1	4	yes	complemented
344	#14524038	C₂³	1	4	yes	complemented
345	#14524038	C₂³	1	4	yes	complemented
346	#14524038	C₂³	1	4	yes	complemented
347	#14524037	C₂³	1	4	yes	complemented
348	#14524037	C₂³	1	4	yes	complemented
349	#14524037	C₂³	1	4	yes	complemented
350	#14524036	C₂³	1	4	yes	complemented
351	#14524036	C₂³	1	4	yes	complemented
352	#14524036	C₂³	1	4	yes	complemented
353	#14524036	C₂³	1	4	yes	complemented
354	#14524036	C₂³	1	4	yes	complemented
355	#14524036	C₂³	1	4	yes	complemented
356	#14524036	C₂³	1	4	yes	complemented
357	#14524036	C₂³	1	4	yes	complemented
358	#14524036	C₂³	1	4	yes	complemented
359	#14524035	C₂³	1	4	yes	complemented
360	#14524035	C₂³	1	2	yes	complemented
361	#14524034	C₂³	1	2	yes	complemented
362	#14524034	C₂³	1	4	yes	complemented
363	#14524034	C₂³	1	4	yes	complemented
364	#14524034	C₂³	1	2	yes	complemented
365	#14524033	C₂³	1	4	yes	complemented
366	#14524033	C₂³	1	4	yes	complemented
367	#14524033	C₂³	1	4	yes	complemented
368	#14524033	C₂³	1	4	yes	complemented
369	#14524033	C₂³	1	4	yes	complemented
370	#14524033	C₂³	1	4	yes	complemented
371	#14524032	C₂³	1	2	yes	complemented
372	#14524032	C₂³	1	4	yes	complemented
373	#14524031	C₂³	1	2	yes	complemented
374	#14524031	C₂³	1	4	yes	complemented
375	#14524030	C₂³	1	2	yes	complemented
376	#14524030	C₂³	1	4	yes	complemented
377	#14524029	C₂³	1	4	yes	complemented
378	#14524029	C₂³	1	4	yes	complemented
379	#14524029	C₂³	1	4	yes	complemented
380	#14524029	C₂³	1	4	yes	complemented
381	#14524029	C₂³	1	4	yes	complemented
382	#14524029	C₂³	1	4	yes	complemented
383	#14524028	C₂³	1	4	yes	—
384	#14524028	C₂³	1	4	yes	—
385	#14524028	C₂³	1	4	yes	complemented
386	#14524028	C₂³	1	4	yes	complemented
387	#14524028	C₂³	1	4	yes	complemented
388	#14524028	C₂³	1	4	yes	complemented
389	#14524028	C₂³	1	4	yes	complemented
390	#14524028	C₂³	1	4	yes	complemented
391	#14524028	C₂³	1	4	yes	complemented
392	#14524028	C₂³	1	4	yes	complemented
393	#14524027	C₂³	1	4	yes	—
394	#14524027	C₂³	1	4	yes	complemented
395	#14524027	C₂³	1	4	yes	complemented
396	#14524027	C₂³	1	4	yes	complemented
397	#14524027	C₂³	1	4	yes	complemented
398	#14524026	C₂³	1	4	yes	—
399	#14524026	C₂³	1	4	yes	complemented
400	#14524026	C₂³	1	4	yes	complemented
401	#14524026	C₂³	1	4	yes	complemented
402	#14524026	C₂³	1	4	yes	complemented
403	#14524025	C₂³	1	4	yes	—
404	#14524025	C₂³	1	4	yes	—
405	#14524025	C₂³	1	4	yes	complemented
406	#14524025	C₂³	1	4	yes	complemented
407	#14524025	C₂³	1	4	yes	complemented
408	#14524025	C₂³	1	4	yes	complemented
409	#14524025	C₂³	1	4	yes	complemented
410	#14524025	C₂³	1	4	yes	complemented
411	#14524025	C₂³	1	4	yes	complemented
412	#14524025	C₂³	1	4	yes	complemented
413	#14524024	C₂³	1	4	yes	—
414	#14524024	C₂³	1	4	yes	complemented
415	#14524024	C₂³	1	4	yes	complemented
416	#14524024	C₂³	1	4	yes	complemented
417	#14524024	C₂³	1	4	yes	complemented
418	#14524023	C₂³	1	2	yes	complemented
419	#14524023	C₂³	1	4	yes	complemented
420	#14524023	C₂³	1	2	yes	complemented
421	#14524023	C₂³	1	2	yes	complemented
422	#14524023	C₂³	1	2	yes	complemented
423	#14524023	C₂³	1	2	yes	complemented
424	#14524022	C₂³	1	2	yes	complemented
425	#14524022	C₂³	1	4	yes	complemented
426	#14524022	C₂³	1	2	yes	complemented
427	#14524022	C₂³	1	2	yes	complemented
428	#14524022	C₂³	1	2	yes	complemented
429	#14524022	C₂³	1	2	yes	complemented
430	#14524021	C₂³	1	4	yes	complemented
431	#14524021	C₂³	1	4	yes	complemented
432	#14524021	C₂³	1	4	yes	complemented
433	#14524021	C₂³	1	4	yes	complemented
434	#14524021	C₂³	1	4	yes	complemented
435	#14524021	C₂³	1	4	yes	complemented
436	#14524021	C₂³	1	4	yes	complemented
437	#14524020	C₂³	1	4	yes	complemented
438	#14524020	C₂³	1	4	yes	complemented
439	#14524020	C₂³	1	4	yes	complemented
440	#14524020	C₂³	1	4	yes	complemented
441	#14524020	C₂³	1	4	yes	complemented
442	#14524020	C₂³	1	4	yes	complemented
443	#14524020	C₂³	1	4	yes	complemented
444	#14524019	C₂³	1	2	yes	complemented
445	#14524019	C₂³	1	4	yes	complemented
446	#14524019	C₂³	1	2	yes	complemented
447	#14524019	C₂³	1	2	yes	complemented
448	#14524019	C₂³	1	2	yes	complemented
449	#14524019	C₂³	1	2	yes	complemented
450	#14524018	C₂³	1	2	yes	—
451	#14524018	C₂³	1	2	yes	—
452	#14524018	C₂³	1	4	yes	complemented
453	#14524018	C₂³	1	2	yes	complemented
454	#14524018	C₂³	1	2	yes	complemented
455	#14524018	C₂³	1	4	yes	complemented
456	#14524018	C₂³	1	4	yes	complemented
457	#14524018	C₂³	1	2	yes	complemented
458	#14524017	C₂³	1	2	yes	—
459	#14524017	C₂³	1	2	yes	—
460	#14524017	C₂³	1	2	yes	complemented
461	#14524017	C₂³	1	4	yes	complemented
462	#14524017	C₂³	1	2	yes	complemented
463	#14524017	C₂³	1	4	yes	complemented
464	#14524017	C₂³	1	4	yes	complemented
465	#14524017	C₂³	1	2	yes	complemented
466	#14524016	C₂³	1	4	yes	—
467	#14524016	C₂³	1	4	yes	—
468	#14524016	C₂³	1	4	yes	complemented
469	#14524016	C₂³	1	4	yes	complemented
470	#14524016	C₂³	1	4	yes	complemented
471	#14524016	C₂³	1	4	yes	complemented
472	#14524016	C₂³	1	4	yes	complemented
473	#14524016	C₂³	1	4	yes	complemented
474	#14524016	C₂³	1	4	yes	complemented
475	#14524016	C₂³	1	4	yes	complemented
476	#14524016	C₂³	1	4	yes	complemented
477	#14524015	C₂³	1	4	yes	—
478	#14524015	C₂³	1	4	yes	—
479	#14524015	C₂³	1	4	yes	complemented
480	#14524015	C₂³	1	4	yes	complemented
481	#14524015	C₂³	1	4	yes	complemented
482	#14524015	C₂³	1	4	yes	complemented
483	#14524015	C₂³	1	4	yes	complemented
484	#14524015	C₂³	1	4	yes	complemented
485	#14524015	C₂³	1	4	yes	complemented
486	#14524015	C₂³	1	4	yes	complemented
487	#14524015	C₂³	1	4	yes	complemented
488	#14524014	C₂³	1	2	yes	—
489	#14524014	C₂³	1	2	yes	—
490	#14524014	C₂³	1	4	yes	complemented
491	#14524014	C₂³	1	2	yes	complemented
492	#14524014	C₂³	1	4	yes	complemented
493	#14524014	C₂³	1	2	yes	complemented
494	#14524014	C₂³	1	2	yes	complemented
495	#14524014	C₂³	1	4	yes	complemented
496	#14524013	C₂³	1	4	yes	—
497	#14524013	C₂³	1	4	yes	—
498	#14524013	C₂³	1	4	yes	—
499	#14524013	C₂³	1	4	yes	complemented
500	#14524013	C₂³	1	4	yes	complemented
501	#14524013	C₂³	1	4	yes	complemented
502	#14524012	C₂³	1	4	yes	—
503	#14524012	C₂³	1	4	yes	complemented
504	#14524011	C₂³	1	4	yes	—
505	#14524011	C₂³	1	4	yes	—
506	#14524011	C₂³	1	4	yes	—
507	#14524011	C₂³	1	4	yes	complemented
508	#14524011	C₂³	1	4	yes	complemented
509	#14524011	C₂³	1	4	yes	complemented
510	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
511	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
512	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
513	#14524008	C₂³	1	4	yes	complemented
514	#14524008	C₂³	1	2	yes	complemented
515	C₄×D₂₆₈	C₂³	1	2	yes	—
516	C₄×D₂₆₈	C₂³	1	2	yes	—
517	C₄×D₂₆₈	C₂³	1	2	yes	complemented
518	C₄×D₂₆₈	C₂³	1	4	yes	complemented
519	C₄×D₂₆₈	C₂³	1	2	yes	complemented
520	C₄×D₂₆₈	C₂³	1	4	yes	complemented
521	C₄×D₂₆₈	C₂³	1	2	yes	complemented
522	C₄×D₂₆₈	C₂³	1	4	yes	complemented
523	C₄×D₂₆₈	C₂³	1	4	yes	complemented
524	C₄×D₂₆₈	C₂³	1	4	yes	complemented
525	D₄×Dic₆₇	C₂³	1	2	yes	—
526	D₄×Dic₆₇	C₂³	1	2	yes	—
527	D₄×Dic₆₇	C₂³	1	2	yes	complemented
528	D₄×Dic₆₇	C₂³	1	2	yes	complemented
529	D₄×Dic₆₇	C₂³	1	4	yes	complemented
530	D₄×Dic₆₇	C₂³	1	4	yes	complemented
531	D₄×Dic₆₇	C₂³	1	4	yes	complemented
532	D₄×Dic₆₇	C₂³	1	2	yes	complemented
533	D₄×Dic₆₇	C₂³	1	4	yes	complemented
534	D₄×Dic₆₇	C₂³	1	4	yes	complemented
535	#14524005	C₂³	1	2	yes	—
536	#14524005	C₂³	1	2	yes	—
537	#14524005	C₂³	1	2	yes	complemented
538	#14524005	C₂³	1	4	yes	complemented
539	#14524005	C₂³	1	2	yes	complemented
540	#14524005	C₂³	1	4	yes	complemented
541	#14524005	C₂³	1	2	yes	complemented
542	#14524005	C₂³	1	4	yes	complemented
543	#14524005	C₂³	1	4	yes	complemented
544	#14524005	C₂³	1	4	yes	complemented
545	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
546	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
547	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
548	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
549	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
550	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
551	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
552	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
553	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
554	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
555	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
556	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
557	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
558	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
559	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
560	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
561	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
562	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
563	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
564	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
565	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
566	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
567	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
568	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
569	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
570	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
571	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
572	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
573	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
574	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
575	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
576	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
577	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
578	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
579	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
580	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
581	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
582	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
583	#14524002	C₂³	1	4	yes	complemented
584	#14524002	C₂³	1	4	yes	complemented
585	#14524002	C₂³	1	2	yes	complemented
586	#14524001	C₂³	1	4	yes	complemented
587	#14524001	C₂³	1	4	yes	complemented
588	#14524001	C₂³	1	4	yes	complemented
589	#14524001	C₂³	1	4	yes	complemented
590	#14524001	C₂³	1	2	yes	complemented
591	#14524001	C₂³	1	2	yes	complemented
592	#14524000	C₂³	1	4	yes	complemented
593	#14524000	C₂³	1	4	yes	complemented
594	#14524000	C₂³	1	4	yes	complemented
595	#14524000	C₂³	1	4	yes	complemented
596	#14524000	C₂³	1	4	yes	complemented
597	#14523999	C₂³	1	4	yes	complemented
598	#14523999	C₂³	1	4	yes	complemented
599	#14523999	C₂³	1	4	yes	complemented
600	#14523999	C₂³	1	4	yes	complemented
601	#14523999	C₂³	1	4	yes	complemented
602	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
603	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
604	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
605	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
606	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
607	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
608	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
609	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
610	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
611	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
612	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
613	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
614	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
615	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
616	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
617	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
618	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
619	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
620	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
621	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
622	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
623	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
624	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
625	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
626	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
627	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
628	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
629	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
630	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
631	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
632	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
633	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
634	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
635	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
636	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
637	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
638	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
639	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
640	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
641	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
642	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
643	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
644	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
645	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
646	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
647	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
648	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
649	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
650	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
651	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
652	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
653	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
657	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
658	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
661	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
662	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
663	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
664	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
665	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
666	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
668	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
669	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
670	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
671	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	complemented
672	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	complemented
673	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
674	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
675	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
676	C₄²×D₆₇	C₂³	1	2	yes	—
677	C₄²×D₆₇	C₂³	1	2	yes	—
678	C₄²×D₆₇	C₂³	1	4	yes	—
679	C₄²×D₆₇	C₂³	1	4	yes	—
680	C₄²×D₆₇	C₂³	1	2	yes	complemented
681	C₄²×D₆₇	C₂³	1	2	yes	complemented
682	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
683	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
684	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
686	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
687	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
688	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
689	#126×C₆₇	C₂³	1	4	yes	complemented
690	#126×C₆₇	C₂³	1	4	yes	complemented
691	#126×C₆₇	C₂³	1	4	yes	complemented
692	#125×C₆₇	C₂³	1	4	yes	complemented
693	#125×C₆₇	C₂³	1	2	yes	complemented
694	#124×C₆₇	C₂³	1	2	yes	complemented
695	#124×C₆₇	C₂³	1	4	yes	complemented
696	#123×C₆₇	C₂³	1	4	yes	—
697	#123×C₆₇	C₂³	1	4	yes	complemented
698	#123×C₆₇	C₂³	1	4	yes	complemented
699	#123×C₆₇	C₂³	1	4	yes	complemented
700	#123×C₆₇	C₂³	1	4	yes	complemented
701	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
702	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
703	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
704	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
705	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
707	#121×C₆₇	C₂³	1	2	yes	—
708	#121×C₆₇	C₂³	1	2	yes	—
709	#121×C₆₇	C₂³	1	4	yes	complemented
710	#121×C₆₇	C₂³	1	2	yes	complemented
711	#121×C₆₇	C₂³	1	2	yes	complemented
712	#121×C₆₇	C₂³	1	4	yes	complemented
713	#121×C₆₇	C₂³	1	2	yes	complemented
714	#121×C₆₇	C₂³	1	4	yes	complemented
715	#120×C₆₇	C₂³	1	4	yes	—
716	#120×C₆₇	C₂³	1	4	yes	complemented
717	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
718	C₄×D₄×C₆₇	C₂³	1	2	yes	—
719	C₄×D₄×C₆₇	C₂³	1	2	yes	—
720	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
721	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
722	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
723	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
724	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
725	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
726	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
727	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
728	#117×C₆₇	C₂³	1	4	yes	complemented
729	#117×C₆₇	C₂³	1	4	yes	complemented
730	#117×C₆₇	C₂³	1	2	yes	complemented
731	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
732	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
733	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
734	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
735	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
736	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
737	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
739	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
740	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic, complemented
741	C₂³×D₆₇	—	2	4	no	—
742	C₂³×D₆₇	—	2	8	no	—
743	C₂³×D₆₇	—	4	2	no	—
744	C₂³×D₆₇	—	4	2	no	—
745	C₂³×D₆₇	—	4	2	no	—
746	C₂³×D₆₇	—	4	2	no	—
747	C₂³×D₆₇	—	4	4	no	—
748	C₂³×D₆₇	—	4	4	no	—
749	C₂³×D₆₇	#41	1	8	yes	complemented
750	C₂³×D₆₇	C₂⁴	1	2	yes	—
751	C₂³×D₆₇	C₂⁴	1	4	yes	—
752	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
753	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
754	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
755	C₂³×D₆₇	C₂⁴	1	4	yes	—
756	C₂³×D₆₇	C₂⁴	1	2	yes	—
757	C₂³×D₆₇	C₂⁴	1	2	yes	—
758	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
759	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
760	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
761	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
762	#11761629	—	4	4	no	—
763	#11761628	—	4	8	no	—
764	#11761628	—	4	4	no	—
765	#11761627	—	4	4	no	—
766	#11761627	—	4	8	no	—
767	C₂×Dic₁₃₄	—	4	4	no	—
768	C₂×Dic₁₃₄	—	4	2	no	—
769	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
770	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
771	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
772	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
773	Q₈×D₆₇	—	2	8	no	—
774	Q₈×D₆₇	—	4	4	no	—
775	Q₈×D₆₇	—	4	4	no	—
776	Q₈×D₆₇	—	4	4	no	—
777	C₂×D₂₆₈	—	2	4	no	—
778	C₂×D₂₆₈	—	2	8	no	—
779	C₂×D₂₆₈	—	4	2	no	—
780	C₂×D₂₆₈	C₂⁴	1	2	yes	—
781	C₂×D₂₆₈	C₂⁴	1	4	yes	—
782	C₂×D₂₆₈	C₂⁴	1	4	yes	—
783	C₂×D₂₆₈	C₂⁴	1	2	yes	—
784	C₂×D₂₆₈	C₂⁴	1	2	yes	—
785	C₂×D₂₆₈	C₂⁴	1	4	yes	—
786	C₂×D₂₆₈	C₂⁴	1	4	yes	—
787	C₂×D₂₆₈	C₂⁴	1	2	yes	—
788	C₂×C₂²⋊D₆₇	—	2	4	no	—
789	C₂×C₂²⋊D₆₇	—	2	8	no	—
790	C₂×C₂²⋊D₆₇	—	2	4	no	—
791	C₂×C₂²⋊D₆₇	—	2	8	no	—
792	C₂×C₂²⋊D₆₇	—	4	4	no	—
793	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
794	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
795	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
801	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
807	D₄×D₆₇	—	2	8	no	—
808	D₄×D₆₇	—	2	16	no	—
809	D₄×D₆₇	—	2	8	no	—
810	D₄×D₆₇	—	2	16	no	—
811	D₄×D₆₇	—	2	8	no	—
812	D₄×D₆₇	—	2	8	no	—
813	D₄×D₆₇	—	2	16	no	—
814	D₄×D₆₇	—	2	16	no	—
815	D₄×D₆₇	—	2	8	no	—
816	D₄×D₆₇	—	4	4	no	—
817	D₄×D₆₇	—	4	4	no	—
818	D₄×D₆₇	—	4	4	no	—
819	D₄×D₆₇	—	4	8	no	—
820	D₄×D₆₇	—	4	8	no	—
821	C₂²×Dic₆₇	—	4	2	no	—
822	C₂²×Dic₆₇	—	4	2	no	—
823	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
824	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
825	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
826	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
827	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
828	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
829	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
830	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
831	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
832	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
833	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
834	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
835	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
836	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
837	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
838	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
839	C₂×C₄×D₆₇	—	2	8	no	—
840	C₂×C₄×D₆₇	—	2	4	no	—
841	C₂×C₄×D₆₇	—	2	4	no	—
842	C₂×C₄×D₆₇	—	2	4	no	—
843	C₂×C₄×D₆₇	—	2	4	no	—
844	C₂×C₄×D₆₇	—	2	8	no	—
845	C₂×C₄×D₆₇	—	4	2	no	—
846	C₂×C₄×D₆₇	—	4	2	no	—
847	C₂×C₄×D₆₇	—	4	2	no	—
848	C₂×C₄×D₆₇	—	4	4	no	—
849	C₂×C₄×D₆₇	—	4	2	no	—
850	C₂×C₄×D₆₇	—	4	2	no	—
851	C₂×C₄×D₆₇	—	4	2	no	—
852	C₂×C₄×D₆₇	—	4	2	no	—
853	C₂×C₄×D₆₇	—	4	4	no	—
854	C₂×C₄×D₆₇	—	4	2	no	—
855	C₂×C₄×D₆₇	—	4	2	no	—
856	C₂×C₄×D₆₇	—	4	4	no	—
857	C₂×C₄×D₆₇	—	4	2	no	—
858	C₂×C₄×D₆₇	—	4	2	no	—
859	C₂×C₄×D₆₇	—	4	2	no	—
860	C₂×C₄×D₆₇	—	4	2	no	—
861	C₂×C₄×D₆₇	—	4	8	no	—
862	C₂×C₄×D₆₇	—	4	4	no	—
863	C₂×C₄×D₆₇	—	4	4	no	—
864	C₂×C₄×D₆₇	—	4	8	no	—
865	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
866	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
867	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
868	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
869	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
870	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
871	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
872	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
873	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
874	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
875	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
876	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
877	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
878	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
879	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
880	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
881	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
882	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
883	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
884	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
885	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
886	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
887	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
888	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
889	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
890	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
891	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
892	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
893	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
894	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
895	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
896	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
897	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
898	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
899	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
900	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
901	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
902	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
903	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
904	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
905	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
906	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
907	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
908	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
909	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
910	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
911	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
912	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
913	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
914	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
915	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
916	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
917	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
918	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
919	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
920	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
921	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
922	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
923	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
924	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
925	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
926	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
927	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
928	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
929	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
930	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
931	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
932	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
933	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
934	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
935	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
936	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
937	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
938	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
939	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
940	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
941	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
942	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
943	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
944	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
945	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
946	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
947	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
948	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
949	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
950	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
951	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
952	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
953	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
954	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
955	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
956	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
957	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
958	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
959	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
960	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
961	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
962	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
963	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
964	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
965	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
966	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
967	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
968	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
969	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
970	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
971	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
972	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
973	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
974	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
975	C₄×Dic₆₇	C₂⁴	1	2	yes	—
976	C₄×Dic₆₇	C₂⁴	1	2	yes	—
977	C₄×Dic₆₇	C₂⁴	1	2	yes	—
978	C₄×Dic₆₇	C₂⁴	1	2	yes	—
979	C₄×Dic₆₇	C₂⁴	1	2	yes	—
980	C₄×Dic₆₇	C₂⁴	1	2	yes	—
981	C₄×Dic₆₇	C₂⁴	1	4	yes	—
982	C₄×Dic₆₇	C₂⁴	1	4	yes	—
983	C₄×Dic₆₇	C₂⁴	1	4	yes	—
984	C₄×Dic₆₇	C₂⁴	1	4	yes	—
985	C₄×Dic₆₇	C₂⁴	1	4	yes	—
986	C₄×Dic₆₇	C₂⁴	1	4	yes	—
987	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
988	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
989	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
990	#41×C₆₇	—	4	4	no	—
991	C₂×Q₈×C₆₇	—	4	2	no	—
992	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
993	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
994	C₂×D₄×C₆₇	—	2	4	no	—
995	C₂×D₄×C₆₇	—	2	8	no	—
996	C₂×D₄×C₆₇	—	4	2	no	—
997	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
998	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
999	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1001	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1002	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1003	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1004	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1005	C₂²×C₄×C₆₇	—	4	2	no	—
1006	C₂²×C₄×C₆₇	—	4	2	no	—
1007	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1008	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1009	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1010	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1011	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1012	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1013	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1014	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1015	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1016	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1017	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1018	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1019	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1020	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1021	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1022	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1023	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1024	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1025	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1026	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1027	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1028	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1029	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1030	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1031	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1032	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1033	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1034	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1035	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1037	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1039	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1041	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1042	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1043	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1044	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1046	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1047	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1048	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1049	C₄²×C₆₇	C₂⁴	1	2	yes	—
1050	C₄²×C₆₇	C₂⁴	1	2	yes	—
1051	C₄²×C₆₇	C₂⁴	1	4	yes	—
1052	C₄²×C₆₇	C₂⁴	1	4	yes	—
1053	C₂³×C₆₇	—	2	2	no	—
1054	C₂³×C₆₇	—	2	4	no	—
1055	C₂³×C₆₇	—	4	1	no	—
1056	C₂³×C₆₇	—	4	1	no	—
1057	C₂³×C₆₇	—	4	1	no	—
1058	C₂³×C₆₇	—	4	1	no	—
1059	C₂³×C₆₇	—	4	2	no	—
1060	C₂³×C₆₇	—	4	2	no	—
1061	C₂³×C₆₇	C₂×#41	1	4	yes	complemented
1062	C₂³×C₆₇	C₂⁵	1	2	yes	—
1063	C₂³×C₆₇	C₂⁵	1	4	yes	—
1064	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1065	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1066	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1067	C₂²×D₆₇	—	2	2	no	—
1068	C₂²×D₆₇	—	2	2	no	—
1069	C₂²×D₆₇	—	2	2	no	—
1070	C₂²×D₆₇	—	2	2	no	—
1071	C₂²×D₆₇	—	2	2	no	—
1072	C₂²×D₆₇	—	2	2	no	—
1073	C₂²×D₆₇	—	2	2	no	—
1074	C₂²×D₆₇	—	2	4	no	—
1075	C₂²×D₆₇	—	2	4	no	—
1076	C₂²×D₆₇	—	2	4	no	—
1077	C₂²×D₆₇	—	2	8	no	—
1078	C₂²×D₆₇	—	2	4	no	—
1079	C₂²×D₆₇	—	2	8	no	—
1080	C₂²×D₆₇	—	2	8	no	—
1081	C₂²×D₆₇	—	2	4	no	—
1082	C₂²×D₆₇	—	2	8	no	—
1083	C₂²×D₆₇	—	4	16	no	—
1084	C₂²×D₆₇	—	4	1	no	—
1085	C₂²×D₆₇	—	4	1	no	—
1086	C₂²×D₆₇	—	4	1	no	—
1087	C₂²×D₆₇	—	4	2	no	—
1088	C₂²×D₆₇	—	4	1	no	—
1089	C₂²×D₆₇	—	4	1	no	—
1090	C₂²×D₆₇	—	4	1	no	—
1091	C₂²×D₆₇	—	4	1	no	—
1092	C₂²×D₆₇	—	4	2	no	—
1093	C₂²×D₆₇	—	4	1	no	—
1094	C₂²×D₆₇	—	4	4	no	—
1095	C₂²×D₆₇	—	4	2	no	—
1096	C₂²×D₆₇	—	4	4	no	—
1097	C₂²×D₆₇	—	4	2	no	—
1098	C₂²×D₆₇	—	4	16	no	—
1099	C₂²×D₆₇	—	8	16	no	—
1100	C₂²×D₆₇	C₂×#41	1	4	yes	—
1101	C₂²×D₆₇	C₂×#41	1	4	yes	—
1102	C₂²×D₆₇	C₂×#41	1	4	yes	—
1103	C₂²×D₆₇	C₂×#41	1	4	yes	complemented
1104	C₂²×D₆₇	C₂×#41	1	4	yes	complemented
1105	C₂²×D₆₇	C₂×#41	1	4	yes	complemented
1106	C₂²×D₆₇	C₂⁵	1	2	yes	—
1107	C₂²×D₆₇	C₂⁵	1	4	yes	—
1108	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1109	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1110	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1111	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1112	Q₈×C₆₇	—	2	4	no	—
1113	Q₈×C₆₇	—	4	2	no	—
1114	D₄×C₆₇	—	2	4	no	—
1115	D₄×C₆₇	—	2	8	no	—
1116	D₄×C₆₇	—	2	4	no	—
1117	D₄×C₆₇	—	2	8	no	—
1118	D₄×C₆₇	—	2	4	no	—
1119	D₄×C₆₇	—	4	2	no	—
1120	D₄×C₆₇	—	4	4	no	—
1121	D₄×C₆₇	—	4	4	no	—
1122	C₂×C₄×C₆₇	—	2	4	no	—
1123	C₂×C₄×C₆₇	—	2	2	no	—
1124	C₂×C₄×C₆₇	—	2	2	no	—
1125	C₂×C₄×C₆₇	—	2	2	no	—
1126	C₂×C₄×C₆₇	—	2	2	no	—
1127	C₂×C₄×C₆₇	—	2	4	no	—
1128	C₂×C₄×C₆₇	—	4	1	no	—
1129	C₂×C₄×C₆₇	—	4	1	no	—
1130	C₂×C₄×C₆₇	—	4	1	no	—
1131	C₂×C₄×C₆₇	—	4	2	no	—
1132	C₂×C₄×C₆₇	—	4	1	no	—
1133	C₂×C₄×C₆₇	—	4	2	no	—
1134	C₂×C₄×C₆₇	—	4	4	no	—
1135	C₂×C₄×C₆₇	—	4	1	no	—
1136	C₂×C₄×C₆₇	—	4	4	no	—
1137	C₂×C₄×C₆₇	—	4	2	no	—
1138	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1139	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1140	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1141	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1142	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1143	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1144	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1145	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1146	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1147	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1148	C₂²⋊D₆₇	—	2	4	no	—
1149	C₂²⋊D₆₇	—	2	8	no	—
1150	C₂²⋊D₆₇	—	2	4	no	—
1151	C₂²⋊D₆₇	—	2	8	no	—
1152	C₂²⋊D₆₇	—	2	4	no	—
1153	C₂²⋊D₆₇	—	2	8	no	—
1154	C₂²⋊D₆₇	—	2	4	no	—
1155	C₂²⋊D₆₇	—	2	8	no	—
1156	C₂²⋊D₆₇	—	2	8	no	—
1157	C₂²⋊D₆₇	—	4	4	no	—
1158	C₂²⋊D₆₇	—	4	4	no	—
1159	C₂²⋊D₆₇	—	4	4	no	—
1160	C₂²⋊D₆₇	—	4	4	no	—
1161	C₂²⋊D₆₇	—	4	4	no	—
1162	C₂×Dic₆₇	—	2	4	no	—
1163	C₂×Dic₆₇	—	2	2	no	—
1164	C₂×Dic₆₇	—	2	2	no	—
1165	C₂×Dic₆₇	—	2	2	no	—
1166	C₂×Dic₆₇	—	2	2	no	—
1167	C₂×Dic₆₇	—	2	4	no	—
1168	C₂×Dic₆₇	—	4	1	no	—
1169	C₂×Dic₆₇	—	4	1	no	—
1170	C₂×Dic₆₇	—	4	1	no	—
1171	C₂×Dic₆₇	—	4	2	no	—
1172	C₂×Dic₆₇	—	4	1	no	—
1173	C₂×Dic₆₇	—	4	1	no	—
1174	C₂×Dic₆₇	—	4	4	no	—
1175	C₂×Dic₆₇	—	4	2	no	—
1176	C₂×Dic₆₇	—	4	2	no	—
1177	C₂×Dic₆₇	—	4	4	no	—
1178	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1179	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1180	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1181	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1182	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1183	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1184	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1185	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1186	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1187	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1188	D₂₆₈	—	2	4	no	—
1189	D₂₆₈	—	2	8	no	—
1190	D₂₆₈	—	2	4	no	—
1191	D₂₆₈	—	2	8	no	—
1192	D₂₆₈	—	2	4	no	—
1193	D₂₆₈	—	4	2	no	—
1194	D₂₆₈	—	4	4	no	—
1195	D₂₆₈	—	4	4	no	—
1196	C₄×D₆₇	—	2	8	no	—
1197	C₄×D₆₇	—	2	4	no	—
1198	C₄×D₆₇	—	2	8	no	—
1199	C₄×D₆₇	—	2	4	no	—
1200	C₄×D₆₇	—	2	2	no	—
1201	C₄×D₆₇	—	2	4	no	—
1202	C₄×D₆₇	—	2	2	no	—
1203	C₄×D₆₇	—	2	2	no	—
1204	C₄×D₆₇	—	2	8	no	—
1205	C₄×D₆₇	—	2	4	no	—
1206	C₄×D₆₇	—	2	8	no	—
1207	C₄×D₆₇	—	2	2	no	—
1208	C₄×D₆₇	—	2	2	no	—
1209	C₄×D₆₇	—	2	2	no	—
1210	C₄×D₆₇	—	2	4	no	—
1211	C₄×D₆₇	—	2	2	no	—
1212	C₄×D₆₇	—	2	2	no	—
1213	C₄×D₆₇	—	2	2	no	—
1214	C₄×D₆₇	—	2	4	no	—
1215	C₄×D₆₇	—	4	1	no	—
1216	C₄×D₆₇	—	4	1	no	—
1217	C₄×D₆₇	—	4	1	no	—
1218	C₄×D₆₇	—	4	2	no	—
1219	C₄×D₆₇	—	4	2	no	—
1220	C₄×D₆₇	—	4	2	no	—
1221	C₄×D₆₇	—	4	1	no	—
1222	C₄×D₆₇	—	4	1	no	—
1223	C₄×D₆₇	—	4	1	no	—
1224	C₄×D₆₇	—	4	2	no	—
1225	C₄×D₆₇	—	4	4	no	—
1226	C₄×D₆₇	—	4	4	no	—
1227	C₄×D₆₇	—	4	4	no	—
1228	C₄×D₆₇	—	4	4	no	—
1229	C₄×D₆₇	—	4	4	no	—
1230	C₄×D₆₇	—	4	4	no	—
1231	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1232	Dic₁₃₄	—	2	4	no	—
1233	Dic₁₃₄	—	2	8	no	—
1234	Dic₁₃₄	—	4	2	no	—
1235	Dic₁₃₄	—	4	4	no	—
1236	C₂²×C₆₇	—	2	1	no	—
1237	C₂²×C₆₇	—	2	1	no	—
1238	C₂²×C₆₇	—	2	1	no	—
1239	C₂²×C₆₇	—	2	1	no	—
1240	C₂²×C₆₇	—	2	1	no	—
1241	C₂²×C₆₇	—	2	1	no	—
1242	C₂²×C₆₇	—	2	2	no	—
1243	C₂²×C₆₇	—	2	4	no	—
1244	C₂²×C₆₇	—	2	2	no	—
1245	C₂²×C₆₇	—	2	4	no	—
1246	C₂²×C₆₇	—	2	4	no	—
1247	C₂²×C₆₇	—	2	2	no	—
1248	C₂²×C₆₇	—	4	4	no	—
1249	C₂²×C₆₇	—	4	4	no	—
1250	C₂²×C₆₇	—	8	4	no	—
1251	C₂²×C₆₇	C₂²×#41	1	2	yes	—
1252	C₂²×C₆₇	C₂²×#41	1	2	yes	—
1253	C₂²×C₆₇	C₂²×#41	1	2	yes	—
1254	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1255	C₂×D₆₇	—	2	1	no	—
1256	C₂×D₆₇	—	2	1	no	—
1257	C₂×D₆₇	—	2	1	no	—
1258	C₂×D₆₇	—	2	1	no	—
1259	C₂×D₆₇	—	2	1	no	—
1260	C₂×D₆₇	—	2	1	no	—
1261	C₂×D₆₇	—	2	8	no	—
1262	C₂×D₆₇	—	2	8	no	—
1263	C₂×D₆₇	—	2	8	no	—
1264	C₂×D₆₇	—	2	2	no	—
1265	C₂×D₆₇	—	2	4	no	—
1266	C₂×D₆₇	—	2	2	no	—
1267	C₂×D₆₇	—	2	4	no	—
1268	C₂×D₆₇	—	2	4	no	—
1269	C₂×D₆₇	—	2	2	no	—
1270	C₂×D₆₇	—	4	4	no	—
1271	C₂×D₆₇	—	4	4	no	—
1272	C₂×D₆₇	—	4	4	no	—
1273	C₂×D₆₇	—	4	8	no	—
1274	C₂×D₆₇	—	4	4	no	—
1275	C₂×D₆₇	—	4	8	no	—
1276	C₂×D₆₇	—	4	16	no	—
1277	C₂×D₆₇	—	8	8	no	—
1278	C₂×D₆₇	—	8	4	no	—
1279	C₂×D₆₇	C₂²×#41	1	2	yes	—
1280	C₂×D₆₇	C₂²×#41	1	2	yes	—
1281	C₂×D₆₇	C₂²×#41	1	2	yes	—
1282	C₂×D₆₇	C₂²×#41	1	2	yes	—
1283	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1284	C₂×D₆₇	#585	1	2	yes	—
1285	C₄×C₆₇	—	2	4	no	—
1286	C₄×C₆₇	—	2	2	no	—
1287	C₄×C₆₇	—	2	4	no	—
1288	C₄×C₆₇	—	2	1	no	—
1289	C₄×C₆₇	—	2	1	no	—
1290	C₄×C₆₇	—	2	2	no	—
1291	C₄×C₆₇	—	2	1	no	—
1292	C₄×C₆₇	—	2	2	no	—
1293	C₄×C₆₇	—	2	4	no	—
1294	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1295	Dic₆₇	—	2	4	no	—
1296	Dic₆₇	—	2	2	no	—
1297	Dic₆₇	—	2	4	no	—
1298	Dic₆₇	—	2	1	no	—
1299	Dic₆₇	—	2	1	no	—
1300	Dic₆₇	—	2	2	no	—
1301	Dic₆₇	—	2	1	no	—
1302	Dic₆₇	—	2	2	no	—
1303	Dic₆₇	—	2	4	no	—
1304	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1305	C₂×#3505	—	67	1	no	maximal, Sylow
1306	C₂×C₆₇	—	2	2	no	—
1307	C₂×C₆₇	—	2	2	no	—
1308	C₂×C₆₇	—	2	2	no	—
1309	C₂×C₆₇	—	4	2	no	—
1310	C₂×C₆₇	—	4	4	no	—
1311	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
1312	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1313	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1314	D₆₇	—	2	2	no	—
1315	D₆₇	—	2	2	no	—
1316	D₆₇	—	2	2	no	—
1317	D₆₇	—	4	2	no	—
1318	D₆₇	—	4	4	no	—
1319	D₆₇	#3505	1	4	yes	direct product factor
1320	#3505	—	67	2	no	—
1321	#3505	—	67	4	no	—
1322	#3505	—	67	2	no	—
1323	#3505	—	67	4	no	—
1324	#3505	—	67	2	no	—
1325	#3505	—	67	2	no	—
1326	#3505	—	67	2	no	—
1327	#3505	—	67	2	no	—
1328	#3505	—	67	2	no	—
1329	#3505	—	67	2	no	—
1330	#3505	—	67	2	no	—
1331	#3505	—	67	1	no	—
1332	#3505	—	67	1	no	—
1333	#3505	—	67	2	no	—
1334	#3505	—	67	1	no	—
1335	#3505	D₆₇	1	1	yes	characteristic, direct product factor
1336	C₂×#553	—	67	2	no	—
1337	C₂×#553	—	67	4	no	—
1338	C₂×#552	—	67	2	no	—
1339	C₂×#551	—	67	4	no	—
1340	C₂×#548	—	67	2	no	—
1341	C₂×#546	—	67	2	no	—
1342	C₂×#539	—	67	2	no	—
1343	C₂×#538	—	67	2	no	—
1344	C₂×#534	—	67	2	no	—
1345	C₂×#529	—	67	2	no	—
1346	C₂×#525	—	67	2	no	—
1347	C₂²×C₂²⋊Q₈	—	67	1	no	—
1348	C₂²×#121	—	67	1	no	—
1349	C₂×#518	—	67	2	no	—
1350	C₂²×C₄×D₄	—	67	1	no	—
1351	C₆₇	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
1352	C₂²×#41	—	67	2	no	—
1353	C₂³×Q₈	—	67	1	no	—
1354	C₂³×D₄	—	67	1	no	—
1355	C₂³×D₄	—	67	1	no	—
1356	C₂³×D₄	—	67	2	no	—
1357	C₂⁴×C₄	—	67	1	no	—
1358	C₂⁴×C₄	—	67	1	no	—
1359	#553	—	67	4	no	—
1360	#553	—	67	4	no	—
1361	#553	—	67	4	no	—
1362	#553	—	67	2	no	—
1363	#553	—	67	4	no	—
1364	#553	—	67	4	no	—
1365	#553	—	67	4	no	—
1366	#553	—	67	4	no	—
1367	#553	—	67	4	no	—
1368	#553	—	67	4	no	—
1369	#553	—	67	4	no	—
1370	#553	—	67	2	no	—
1371	#553	—	67	4	no	—
1372	#553	—	67	2	no	—
1373	#553	—	67	4	no	—
1374	#553	—	67	2	no	—
1375	#553	—	67	4	no	—
1376	#553	—	67	4	no	—
1377	#553	—	67	4	no	—
1378	#553	—	67	4	no	—
1379	#553	—	67	2	no	—
1380	#553	—	67	4	no	—
1381	#553	—	67	2	no	—
1382	#553	—	67	4	no	—
1383	#553	—	67	2	no	—
1384	#553	—	67	4	no	—
1385	#553	C₂×D₆₇	1	2	yes	complemented
1386	#553	C₂×D₆₇	1	4	yes	complemented
1387	#552	—	67	4	no	—
1388	#552	—	67	4	no	—
1389	#552	—	67	2	no	—
1390	#552	—	67	4	no	—
1391	#552	—	67	2	no	—
1392	#552	—	67	2	no	—
1393	#552	—	67	2	no	—
1394	#552	—	67	2	no	—
1395	#552	—	67	4	no	—
1396	#552	—	67	2	no	—
1397	#552	—	67	2	no	—
1398	#552	C₂×D₆₇	1	2	yes	complemented
1399	#551	—	67	4	no	—
1400	#551	—	67	4	no	—
1401	#551	—	67	4	no	—
1402	#551	—	67	4	no	—
1403	#551	—	67	4	no	—
1404	#551	—	67	4	no	—
1405	#551	—	67	4	no	—
1406	#551	—	67	4	no	—
1407	#551	—	67	4	no	—
1408	#551	—	67	4	no	—
1409	#551	—	67	4	no	—
1410	#551	—	67	4	no	—
1411	#551	—	67	4	no	—
1412	#551	—	67	4	no	—
1413	#551	—	67	4	no	—
1414	#551	C₂×D₆₇	1	4	yes	complemented
1415	#548	—	67	2	no	—
1416	#548	—	67	2	no	—
1417	#548	—	67	4	no	—
1418	#548	—	67	2	no	—
1419	#548	—	67	2	no	—
1420	#548	—	67	4	no	—
1421	#548	—	67	4	no	—
1422	#548	—	67	2	no	—
1423	#548	—	67	2	no	—
1424	#548	—	67	4	no	—
1425	#548	—	67	2	no	—
1426	#548	C₂×D₆₇	1	2	yes	complemented
1427	#546	—	67	2	no	—
1428	#546	—	67	2	no	—
1429	#546	—	67	2	no	—
1430	#546	—	67	4	no	—
1431	#546	—	67	2	no	—
1432	#546	—	67	4	no	—
1433	#546	—	67	2	no	—
1434	#546	—	67	4	no	—
1435	#546	—	67	2	no	—
1436	#546	—	67	2	no	—
1437	#546	—	67	4	no	—
1438	#546	C₂×D₆₇	1	2	yes	complemented
1439	#539	—	67	4	no	—
1440	#539	—	67	4	no	—
1441	#539	—	67	4	no	—
1442	#539	—	67	4	no	—
1443	#539	—	67	4	no	—
1444	#539	—	67	2	no	—
1445	#539	—	67	2	no	—
1446	#539	—	67	4	no	—
1447	#539	—	67	2	no	—
1448	#539	C₂×D₆₇	1	2	yes	complemented
1449	#538	—	67	4	no	—
1450	#538	—	67	4	no	—
1451	#538	—	67	4	no	—
1452	#538	—	67	2	no	—
1453	#538	—	67	2	no	—
1454	#538	—	67	4	no	—
1455	#538	—	67	4	no	—
1456	#538	—	67	4	no	—
1457	#538	—	67	2	no	—
1458	#538	C₂×D₆₇	1	2	yes	complemented
1459	#534	—	67	2	no	—
1460	#534	—	67	2	no	—
1461	#534	—	67	4	no	—
1462	#534	—	67	4	no	—
1463	#534	—	67	4	no	—
1464	#534	—	67	4	no	—
1465	#534	—	67	4	no	—
1466	#534	—	67	4	no	—
1467	#534	—	67	2	no	—
1468	#534	C₂×D₆₇	1	2	yes	complemented
1469	#529	—	67	4	no	—
1470	#529	—	67	2	no	—
1471	#529	—	67	2	no	—
1472	#529	—	67	4	no	—
1473	#529	—	67	2	no	—
1474	#529	—	67	2	no	—
1475	#529	—	67	2	no	—
1476	#529	—	67	4	no	—
1477	#529	—	67	2	no	—
1478	#529	—	67	4	no	—
1479	#529	—	67	2	no	—
1480	#529	C₂×D₆₇	1	2	yes	complemented
1481	C₂×#126	—	67	4	no	—
1482	C₂×#126	—	67	4	no	—
1483	C₂×#126	—	67	4	no	—
1484	C₂×#125	—	67	2	no	—
1485	C₂×#125	—	67	4	no	—
1486	C₂×#124	—	67	2	no	—
1487	C₂×#124	—	67	4	no	—
1488	#525	—	67	2	no	—
1489	#525	—	67	2	no	—
1490	#525	—	67	4	no	—
1491	#525	—	67	2	no	—
1492	#525	—	67	2	no	—
1493	#525	—	67	2	no	—
1494	#525	—	67	2	no	—
1495	#525	—	67	4	no	—
1496	#525	—	67	4	no	—
1497	#525	—	67	4	no	—
1498	#525	—	67	2	no	—
1499	#525	C₂×D₆₇	1	2	yes	complemented
1500	C₂×#123	—	67	4	no	—
1501	C₂×#123	—	67	4	no	—
1502	C₂×#123	—	67	4	no	—
1503	C₂×#123	—	67	4	no	—
1504	C₂×#123	—	67	4	no	—
1505	C₂×C₂²⋊Q₈	—	67	1	no	—
1506	C₂×C₂²⋊Q₈	—	67	1	no	—
1507	C₂×C₂²⋊Q₈	—	67	2	no	—
1508	C₂×C₂²⋊Q₈	—	67	2	no	—
1509	C₂×C₂²⋊Q₈	—	67	2	no	—
1510	C₂×C₂²⋊Q₈	—	67	2	no	—
1511	C₂×C₂²⋊Q₈	—	67	2	no	—
1512	C₂×C₂²⋊Q₈	—	67	2	no	—
1513	C₂×C₂²⋊Q₈	—	67	2	no	—
1514	C₂×C₂²⋊Q₈	—	67	2	no	—
1515	C₂×C₂²⋊Q₈	—	67	2	no	—
1516	C₂×C₂²⋊Q₈	—	67	4	no	—
1517	C₂×C₂²⋊Q₈	—	67	2	no	—
1518	C₂×C₂²⋊Q₈	—	67	1	no	—
1519	C₂×C₂²⋊Q₈	—	67	2	no	—
1520	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1521	C₂×#121	—	67	2	no	—
1522	C₂×#121	—	67	1	no	—
1523	C₂×#121	—	67	1	no	—
1524	C₂×#121	—	67	2	no	—
1525	C₂×#121	—	67	2	no	—
1526	C₂×#121	—	67	2	no	—
1527	C₂×#121	—	67	2	no	—
1528	C₂×#121	—	67	2	no	—
1529	C₂×#121	—	67	2	no	—
1530	C₂×#121	—	67	2	no	—
1531	C₂×#121	—	67	2	no	—
1532	C₂×#121	—	67	2	no	—
1533	C₂×#121	—	67	4	no	—
1534	C₂×#121	—	67	4	no	—
1535	C₂×#121	—	67	4	no	—
1536	C₂×#121	—	67	1	no	—
1537	C₂×#121	—	67	2	no	—
1538	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1539	C₂×#120	—	67	4	no	—
1540	C₂×#120	—	67	4	no	—
1541	#518	—	67	2	no	—
1542	#518	—	67	4	no	—
1543	#518	—	67	4	no	—
1544	#518	—	67	4	no	—
1545	#518	—	67	4	no	—
1546	#518	—	67	4	no	—
1547	#518	—	67	2	no	—
1548	#518	—	67	2	no	—
1549	#518	—	67	4	no	—
1550	#518	C₂×D₆₇	1	2	yes	complemented
1551	C₂×C₄×Q₈	—	67	2	no	—
1552	C₂×C₄×D₄	—	67	1	no	—
1553	C₂×C₄×D₄	—	67	1	no	—
1554	C₂×C₄×D₄	—	67	1	no	—
1555	C₂×C₄×D₄	—	67	2	no	—
1556	C₂×C₄×D₄	—	67	2	no	—
1557	C₂×C₄×D₄	—	67	2	no	—
1558	C₂×C₄×D₄	—	67	2	no	—
1559	C₂×C₄×D₄	—	67	2	no	—
1560	C₂×C₄×D₄	—	67	2	no	—
1561	C₂×C₄×D₄	—	67	2	no	—
1562	C₂×C₄×D₄	—	67	2	no	—
1563	C₂×C₄×D₄	—	67	4	no	—
1564	C₂×C₄×D₄	—	67	4	no	—
1565	C₂×C₄×D₄	—	67	4	no	—
1566	C₂×C₄×D₄	—	67	4	no	—
1567	C₂×C₄×D₄	—	67	4	no	—
1568	C₂×C₄×D₄	—	67	2	no	—
1569	C₂×C₄×D₄	—	67	1	no	—
1570	C₂×C₄×D₄	—	67	1	no	—
1571	C₂×C₄×D₄	—	67	1	no	—
1572	C₂×C₄×D₄	—	67	1	no	—
1573	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1574	C₂×#117	—	67	4	no	—
1575	C₂×#117	—	67	2	no	—
1576	C₂×#117	—	67	4	no	—
1577	C₂²×C₄⋊C₄	—	67	1	no	—
1578	C₂²×C₄⋊C₄	—	67	1	no	—
1579	C₂²×C₄⋊C₄	—	67	1	no	—
1580	C₂²×C₄⋊C₄	—	67	2	no	—
1581	C₂²×C₂²⋊C₄	—	67	1	no	—
1582	C₂²×C₂²⋊C₄	—	67	2	no	—
1583	C₂²×C₂²⋊C₄	—	67	1	no	—
1584	C₂²×C₂²⋊C₄	—	67	4	no	—
1585	C₂²×C₂²⋊C₄	—	67	2	no	—
1586	C₂²×C₄²	—	67	1	no	—
1587	C₂⁵	—	67	1	no	—
1588	C₂⁵	—	67	2	no	—
1589	C₂⁵	—	67	1	no	—
1590	C₂×#41	—	268	8	no	—
1591	C₂×#41	—	67	2	no	—
1592	C₂×#41	—	67	2	no	—
1593	C₂×#41	—	67	4	no	—
1594	C₂×#41	—	67	2	no	—
1595	C₂×#41	—	67	4	no	—
1596	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1597	C₂²×Q₈	—	268	4	no	—
1598	C₂²×Q₈	—	67	2	no	—
1599	C₂²×Q₈	—	67	2	no	—
1600	C₂²×Q₈	—	67	2	no	—
1601	C₂²×Q₈	—	67	2	no	—
1602	C₂²×Q₈	—	67	1	no	—
1603	C₂²×Q₈	—	67	2	no	—
1604	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1605	C₂²×D₄	—	268	4	no	—
1606	C₂²×D₄	—	67	2	no	—
1607	C₂²×D₄	—	67	4	no	—
1608	C₂²×D₄	—	67	4	no	—
1609	C₂²×D₄	—	67	2	no	—
1610	C₂²×D₄	—	67	2	no	—
1611	C₂²×D₄	—	67	2	no	—
1612	C₂²×D₄	—	67	1	no	—
1613	C₂²×D₄	—	67	1	no	—
1614	C₂²×D₄	—	67	2	no	—
1615	C₂²×D₄	—	67	2	no	—
1616	C₂²×D₄	—	67	2	no	—
1617	C₂²×D₄	—	67	4	no	—
1618	C₂²×D₄	—	67	2	no	—
1619	C₂²×D₄	—	67	4	no	—
1620	C₂²×D₄	—	67	2	no	—
1621	C₂²×D₄	—	67	2	no	—
1622	C₂²×D₄	—	67	2	no	—
1623	C₂²×D₄	—	67	4	no	—
1624	C₂²×D₄	—	67	4	no	—
1625	C₂²×D₄	—	67	1	no	—
1626	C₂²×D₄	—	67	1	no	—
1627	C₂²×D₄	—	67	2	no	—
1628	C₂²×D₄	—	134	8	no	—
1629	C₂²×D₄	—	134	16	no	—
1630	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1631	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1632	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1633	C₂³×C₄	—	268	4	no	—
1634	C₂³×C₄	—	268	4	no	—
1635	C₂³×C₄	—	67	1	no	—
1636	C₂³×C₄	—	67	1	no	—
1637	C₂³×C₄	—	67	1	no	—
1638	C₂³×C₄	—	67	1	no	—
1639	C₂³×C₄	—	67	2	no	—
1640	C₂³×C₄	—	67	1	no	—
1641	C₂³×C₄	—	67	2	no	—
1642	C₂³×C₄	—	67	1	no	—
1643	C₂³×C₄	—	67	4	no	—
1644	C₂³×C₄	—	67	4	no	—
1645	C₂³×C₄	—	67	1	no	—
1646	C₂³×C₄	—	67	2	no	—
1647	C₂³×C₄	—	67	1	no	—
1648	C₂³×C₄	—	67	1	no	—
1649	C₂³×C₄	—	67	1	no	—
1650	C₂³×C₄	—	67	1	no	—
1651	C₂³×C₄	—	67	1	no	—
1652	C₂³×C₄	—	67	1	no	—
1653	C₂³×C₄	—	67	1	no	—
1654	C₂³×C₄	—	67	2	no	—
1655	C₂³×C₄	—	67	2	no	—
1656	C₂³×C₄	—	67	1	no	—
1657	C₂³×C₄	—	67	2	no	—
1658	C₂³×C₄	—	67	1	no	—
1659	C₂³×C₄	—	67	1	no	—
1660	C₂³×C₄	—	67	1	no	—
1661	C₂³×C₄	—	67	2	no	—
1662	C₂³×C₄	—	67	1	no	—
1663	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1664	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1665	#126	—	67	4	no	—
1666	#126	—	67	4	no	—
1667	#126	—	67	4	no	—
1668	#126	—	67	4	no	—
1669	#126	—	67	4	no	—
1670	#126	—	67	4	no	—
1671	#126	—	67	4	no	—
1672	#126	—	67	4	no	—
1673	#126	—	67	4	no	—
1674	#126	—	67	4	no	—
1675	#126	—	67	4	no	—
1676	#126	—	67	4	no	—
1677	#126	—	67	4	no	—
1678	#126	—	67	4	no	—
1679	#126	—	67	4	no	—
1680	#126	—	67	4	no	—
1681	#126	—	67	4	no	—
1682	#126	—	67	4	no	—
1683	#126	—	67	4	no	—
1684	#126	—	67	4	no	—
1685	#126	—	67	4	no	—
1686	#126	C₂²×D₆₇	1	4	yes	complemented
1687	#126	C₂²×D₆₇	1	4	yes	complemented
1688	#126	C₂²×D₆₇	1	4	yes	complemented
1689	#125	—	67	4	no	—
1690	#125	—	67	4	no	—
1691	#125	—	67	2	no	—
1692	#125	—	67	2	no	—
1693	#125	—	67	4	no	—
1694	#125	—	67	4	no	—
1695	#125	—	67	4	no	—
1696	#125	—	67	4	no	—
1697	#125	—	67	4	no	—
1698	#125	—	67	4	no	—
1699	#125	—	67	2	no	—
1700	#125	—	67	4	no	—
1701	#125	C₂²×D₆₇	1	2	yes	complemented
1702	#125	C₂²×D₆₇	1	4	yes	complemented
1703	#124	—	67	2	no	—
1704	#124	—	67	4	no	—
1705	#124	—	67	2	no	—
1706	#124	—	67	4	no	—
1707	#124	—	67	4	no	—
1708	#124	—	67	4	no	—
1709	#124	—	67	4	no	—
1710	#124	—	67	4	no	—
1711	#124	—	67	4	no	—
1712	#124	—	67	4	no	—
1713	#124	—	67	2	no	—
1714	#124	—	67	4	no	—
1715	#124	C₂²×D₆₇	1	2	yes	complemented
1716	#124	C₂²×D₆₇	1	4	yes	complemented
1717	#123	—	67	4	no	—
1718	#123	—	67	4	no	—
1719	#123	—	67	4	no	—
1720	#123	—	67	4	no	—
1721	#123	—	67	4	no	—
1722	#123	—	67	4	no	—
1723	#123	—	67	4	no	—
1724	#123	—	67	4	no	—
1725	#123	—	67	4	no	—
1726	#123	—	67	4	no	—
1727	#123	—	67	4	no	—
1728	#123	—	67	4	no	—
1729	#123	—	67	4	no	—
1730	#123	—	67	4	no	—
1731	#123	—	67	4	no	—
1732	#123	—	67	4	no	—
1733	#123	—	67	4	no	—
1734	#123	—	67	4	no	—
1735	#123	—	67	4	no	—
1736	#123	—	67	4	no	—
1737	#123	—	67	4	no	—
1738	#123	—	67	4	no	—
1739	#123	—	67	4	no	—
1740	#123	—	67	4	no	—
1741	#123	—	67	4	no	—
1742	#123	—	67	4	no	—
1743	#123	—	67	4	no	—
1744	#123	—	67	4	no	—
1745	#123	—	67	4	no	—
1746	#123	—	67	4	no	—
1747	#123	—	67	4	no	—
1748	#123	—	67	4	no	—
1749	#123	—	67	4	no	—
1750	#123	—	67	4	no	—
1751	#123	—	67	4	no	—
1752	#123	C₂²×D₆₇	1	4	yes	—
1753	#123	C₂²×D₆₇	1	4	yes	complemented
1754	#123	C₂²×D₆₇	1	4	yes	complemented
1755	#123	C₂²×D₆₇	1	4	yes	complemented
1756	#123	C₂²×D₆₇	1	4	yes	complemented
1757	C₂²⋊Q₈	—	67	2	no	—
1758	C₂²⋊Q₈	—	67	2	no	—
1759	C₂²⋊Q₈	—	67	2	no	—
1760	C₂²⋊Q₈	—	67	2	no	—
1761	C₂²⋊Q₈	—	67	2	no	—
1762	C₂²⋊Q₈	—	67	4	no	—
1763	C₂²⋊Q₈	—	67	2	no	—
1764	C₂²⋊Q₈	—	67	2	no	—
1765	C₂²⋊Q₈	—	67	2	no	—
1766	C₂²⋊Q₈	—	67	2	no	—
1767	C₂²⋊Q₈	—	67	2	no	—
1768	C₂²⋊Q₈	—	67	4	no	—
1769	C₂²⋊Q₈	—	67	4	no	—
1770	C₂²⋊Q₈	—	67	2	no	—
1771	C₂²⋊Q₈	—	67	4	no	—
1772	C₂²⋊Q₈	—	67	2	no	—
1773	C₂²⋊Q₈	—	67	4	no	—
1774	C₂²⋊Q₈	—	67	2	no	—
1775	C₂²⋊Q₈	—	67	4	no	—
1776	C₂²⋊Q₈	—	67	2	no	—
1777	C₂²⋊Q₈	—	67	4	no	—
1778	C₂²⋊Q₈	—	67	2	no	—
1779	C₂²⋊Q₈	—	67	4	no	—
1780	C₂²⋊Q₈	—	67	4	no	—
1781	C₂²⋊Q₈	—	67	4	no	—
1782	C₂²⋊Q₈	—	67	4	no	—
1783	C₂²⋊Q₈	—	67	4	no	—
1784	C₂²⋊Q₈	—	67	4	no	—
1785	C₂²⋊Q₈	—	67	4	no	—
1786	C₂²⋊Q₈	—	67	4	no	—
1787	C₂²⋊Q₈	—	67	4	no	—
1788	C₂²⋊Q₈	—	67	4	no	—
1789	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1790	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1791	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1792	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1793	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1794	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1795	#121	—	67	2	no	—
1796	#121	—	67	4	no	—
1797	#121	—	67	2	no	—
1798	#121	—	67	4	no	—
1799	#121	—	67	2	no	—
1800	#121	—	67	4	no	—
1801	#121	—	67	2	no	—
1802	#121	—	67	4	no	—
1803	#121	—	67	2	no	—
1804	#121	—	67	4	no	—
1805	#121	—	67	4	no	—
1806	#121	—	67	4	no	—
1807	#121	—	67	4	no	—
1808	#121	—	67	4	no	—
1809	#121	—	67	4	no	—
1810	#121	—	67	4	no	—
1811	#121	—	67	4	no	—
1812	#121	—	67	4	no	—
1813	#121	—	67	4	no	—
1814	#121	—	67	2	no	—
1815	#121	—	67	2	no	—
1816	#121	—	67	2	no	—
1817	#121	—	67	2	no	—
1818	#121	—	67	2	no	—
1819	#121	—	67	4	no	—
1820	#121	—	67	4	no	—
1821	#121	—	67	4	no	—
1822	#121	—	67	2	no	—
1823	#121	—	67	2	no	—
1824	#121	—	67	2	no	—
1825	#121	—	67	2	no	—
1826	#121	—	67	2	no	—
1827	#121	—	67	4	no	—
1828	#121	—	67	4	no	—
1829	#121	—	67	4	no	—
1830	#121	—	67	4	no	—
1831	#121	—	67	4	no	—
1832	#121	—	67	4	no	—
1833	#121	—	67	4	no	—
1834	#121	—	67	4	no	—
1835	#121	—	67	4	no	—
1836	#121	—	67	4	no	—
1837	#121	—	67	4	no	—
1838	#121	—	67	4	no	—
1839	#121	—	67	4	no	—
1840	#121	—	67	4	no	—
1841	#121	C₂²×D₆₇	1	2	yes	—
1842	#121	C₂²×D₆₇	1	2	yes	—
1843	#121	C₂²×D₆₇	1	2	yes	complemented
1844	#121	C₂²×D₆₇	1	2	yes	complemented
1845	#121	C₂²×D₆₇	1	2	yes	complemented
1846	#121	C₂²×D₆₇	1	4	yes	complemented
1847	#121	C₂²×D₆₇	1	4	yes	complemented
1848	#121	C₂²×D₆₇	1	4	yes	complemented
1849	#120	—	67	4	no	—
1850	#120	—	67	4	no	—
1851	#120	—	67	4	no	—
1852	#120	—	67	4	no	—
1853	#120	—	67	4	no	—
1854	#120	—	67	4	no	—
1855	#120	—	67	4	no	—
1856	#120	—	67	4	no	—
1857	#120	—	67	4	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	4	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	4	no	—
1862	#120	—	67	4	no	—
1863	#120	C₂²×D₆₇	1	4	yes	—
1864	#120	C₂²×D₆₇	1	4	yes	complemented
1865	C₄×Q₈	—	67	2	no	—
1866	C₄×Q₈	—	67	4	no	—
1867	C₄×Q₈	—	67	2	no	—
1868	C₄×Q₈	—	67	4	no	—
1869	C₄×Q₈	—	67	2	no	—
1870	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1871	C₄×D₄	—	67	2	no	—
1872	C₄×D₄	—	67	2	no	—
1873	C₄×D₄	—	67	2	no	—
1874	C₄×D₄	—	67	2	no	—
1875	C₄×D₄	—	67	4	no	—
1876	C₄×D₄	—	67	4	no	—
1877	C₄×D₄	—	67	4	no	—
1878	C₄×D₄	—	67	4	no	—
1879	C₄×D₄	—	67	4	no	—
1880	C₄×D₄	—	67	2	no	—
1881	C₄×D₄	—	67	2	no	—
1882	C₄×D₄	—	67	2	no	—
1883	C₄×D₄	—	67	2	no	—
1884	C₄×D₄	—	67	2	no	—
1885	C₄×D₄	—	67	2	no	—
1886	C₄×D₄	—	67	2	no	—
1887	C₄×D₄	—	67	2	no	—
1888	C₄×D₄	—	67	2	no	—
1889	C₄×D₄	—	67	4	no	—
1890	C₄×D₄	—	67	4	no	—
1891	C₄×D₄	—	67	4	no	—
1892	C₄×D₄	—	67	4	no	—
1893	C₄×D₄	—	67	4	no	—
1894	C₄×D₄	—	67	4	no	—
1895	C₄×D₄	—	67	4	no	—
1896	C₄×D₄	—	67	4	no	—
1897	C₄×D₄	—	67	4	no	—
1898	C₄×D₄	—	67	4	no	—
1899	C₄×D₄	—	67	4	no	—
1900	C₄×D₄	—	67	2	no	—
1901	C₄×D₄	—	67	2	no	—
1902	C₄×D₄	—	67	2	no	—
1903	C₄×D₄	—	67	2	no	—
1904	C₄×D₄	—	67	4	no	—
1905	C₄×D₄	—	67	4	no	—
1906	C₄×D₄	—	67	4	no	—
1907	C₄×D₄	—	67	4	no	—
1908	C₄×D₄	—	67	4	no	—
1909	C₄×D₄	—	67	2	no	—
1910	C₄×D₄	—	67	2	no	—
1911	C₄×D₄	—	67	2	no	—
1912	C₄×D₄	—	67	2	no	—
1913	C₄×D₄	—	67	2	no	—
1914	C₄×D₄	—	67	2	no	—
1915	C₄×D₄	—	67	2	no	—
1916	C₄×D₄	—	67	2	no	—
1917	C₄×D₄	—	67	2	no	—
1918	C₄×D₄	—	67	4	no	—
1919	C₄×D₄	—	67	4	no	—
1920	C₄×D₄	—	67	4	no	—
1921	C₄×D₄	—	67	4	no	—
1922	C₄×D₄	—	67	4	no	—
1923	C₄×D₄	—	67	4	no	—
1924	C₄×D₄	—	67	4	no	—
1925	C₄×D₄	—	67	4	no	—
1926	C₄×D₄	—	67	4	no	—
1927	C₄×D₄	—	67	4	no	—
1928	C₄×D₄	—	67	4	no	—
1929	C₄×D₄	—	67	2	no	—
1930	C₄×D₄	—	67	2	no	—
1931	C₄×D₄	—	67	2	no	—
1932	C₄×D₄	—	67	2	no	—
1933	C₄×D₄	—	67	4	no	—
1934	C₄×D₄	—	67	4	no	—
1935	C₄×D₄	—	67	4	no	—
1936	C₄×D₄	—	67	4	no	—
1937	C₄×D₄	—	67	4	no	—
1938	C₄×D₄	—	67	2	no	—
1939	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1940	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1941	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1942	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1943	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1944	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1945	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1946	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1947	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1948	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1949	#117	—	67	4	no	—
1950	#117	—	67	2	no	—
1951	#117	—	67	4	no	—
1952	#117	—	67	4	no	—
1953	#117	—	67	4	no	—
1954	#117	—	67	2	no	—
1955	#117	—	67	2	no	—
1956	#117	—	67	4	no	—
1957	#117	—	67	4	no	—
1958	#117	—	67	4	no	—
1959	#117	—	67	4	no	—
1960	#117	—	67	4	no	—
1961	#117	—	67	4	no	—
1962	#117	—	67	4	no	—
1963	#117	—	67	4	no	—
1964	#117	—	67	4	no	—
1965	#117	—	67	4	no	—
1966	#117	—	67	4	no	—
1967	#117	—	67	4	no	—
1968	#117	C₂²×D₆₇	1	4	yes	complemented
1969	#117	C₂²×D₆₇	1	2	yes	complemented
1970	#117	C₂²×D₆₇	1	4	yes	complemented
1971	C₂×C₄⋊C₄	—	67	1	no	—
1972	C₂×C₄⋊C₄	—	67	1	no	—
1973	C₂×C₄⋊C₄	—	67	1	no	—
1974	C₂×C₄⋊C₄	—	67	2	no	—
1975	C₂×C₄⋊C₄	—	67	1	no	—
1976	C₂×C₄⋊C₄	—	67	2	no	—
1977	C₂×C₄⋊C₄	—	67	2	no	—
1978	C₂×C₄⋊C₄	—	67	2	no	—
1979	C₂×C₄⋊C₄	—	67	1	no	—
1980	C₂×C₄⋊C₄	—	67	2	no	—
1981	C₂×C₄⋊C₄	—	67	2	no	—
1982	C₂×C₄⋊C₄	—	67	4	no	—
1983	C₂×C₄⋊C₄	—	67	2	no	—
1984	C₂×C₄⋊C₄	—	67	2	no	—
1985	C₂×C₄⋊C₄	—	67	2	no	—
1986	C₂×C₄⋊C₄	—	67	2	no	—
1987	C₂×C₄⋊C₄	—	67	2	no	—
1988	C₂×C₄⋊C₄	—	67	2	no	—
1989	C₂×C₄⋊C₄	—	67	2	no	—
1990	C₂×C₄⋊C₄	—	67	2	no	—
1991	C₂×C₄⋊C₄	—	67	4	no	—
1992	C₂×C₄⋊C₄	—	67	2	no	—
1993	C₂×C₄⋊C₄	—	67	2	no	—
1994	C₂×C₄⋊C₄	—	67	2	no	—
1995	C₂×C₄⋊C₄	—	67	4	no	—
1996	C₂×C₄⋊C₄	—	67	4	no	—
1997	C₂×C₄⋊C₄	—	67	4	no	—
1998	C₂×C₄⋊C₄	—	67	4	no	—
1999	C₂×C₄⋊C₄	—	67	4	no	—
2000	C₂×C₄⋊C₄	—	67	4	no	—
2001	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2002	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2003	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2004	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2005	C₂×C₂²⋊C₄	—	67	1	no	—
2006	C₂×C₂²⋊C₄	—	67	1	no	—
2007	C₂×C₂²⋊C₄	—	67	2	no	—
2008	C₂×C₂²⋊C₄	—	67	4	no	—
2009	C₂×C₂²⋊C₄	—	67	2	no	—
2010	C₂×C₂²⋊C₄	—	67	1	no	—
2011	C₂×C₂²⋊C₄	—	67	1	no	—
2012	C₂×C₂²⋊C₄	—	67	1	no	—
2013	C₂×C₂²⋊C₄	—	67	1	no	—
2014	C₂×C₂²⋊C₄	—	67	2	no	—
2015	C₂×C₂²⋊C₄	—	67	2	no	—
2016	C₂×C₂²⋊C₄	—	67	4	no	—
2017	C₂×C₂²⋊C₄	—	67	4	no	—
2018	C₂×C₂²⋊C₄	—	67	2	no	—
2019	C₂×C₂²⋊C₄	—	67	2	no	—
2020	C₂×C₂²⋊C₄	—	67	2	no	—
2021	C₂×C₂²⋊C₄	—	67	4	no	—
2022	C₂×C₂²⋊C₄	—	67	4	no	—
2023	C₂×C₂²⋊C₄	—	67	2	no	—
2024	C₂×C₂²⋊C₄	—	67	2	no	—
2025	C₂×C₂²⋊C₄	—	67	2	no	—
2026	C₂×C₂²⋊C₄	—	67	4	no	—
2027	C₂×C₂²⋊C₄	—	67	2	no	—
2028	C₂×C₂²⋊C₄	—	67	4	no	—
2029	C₂×C₂²⋊C₄	—	67	4	no	—
2030	C₂×C₂²⋊C₄	—	67	2	no	—
2031	C₂×C₂²⋊C₄	—	67	2	no	—
2032	C₂×C₂²⋊C₄	—	67	2	no	—
2033	C₂×C₂²⋊C₄	—	67	4	no	—
2034	C₂×C₂²⋊C₄	—	67	4	no	—
2035	C₂×C₂²⋊C₄	—	67	4	no	—
2036	C₂×C₂²⋊C₄	—	67	4	no	—
2037	C₂×C₂²⋊C₄	—	67	4	no	—
2038	C₂×C₂²⋊C₄	—	67	4	no	—
2039	C₂×C₂²⋊C₄	—	67	4	no	—
2040	C₂×C₂²⋊C₄	—	67	4	no	—
2041	C₂×C₂²⋊C₄	—	67	4	no	—
2042	C₂×C₂²⋊C₄	—	67	4	no	—
2043	C₂×C₂²⋊C₄	—	67	4	no	—
2044	C₂×C₂²⋊C₄	—	67	4	no	—
2045	C₂×C₂²⋊C₄	—	67	4	no	—
2046	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2047	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2048	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2049	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
2050	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2051	C₂×C₄²	—	67	1	no	—
2052	C₂×C₄²	—	67	1	no	—
2053	C₂×C₄²	—	67	1	no	—
2054	C₂×C₄²	—	67	4	no	—
2055	C₂×C₄²	—	67	4	no	—
2056	C₂×C₄²	—	67	2	no	—
2057	C₂×C₄²	—	67	2	no	—
2058	C₂×C₄²	—	67	2	no	—
2059	C₂×C₄²	—	67	2	no	—
2060	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic, complemented
2061	C₂⁴	—	268	2	no	—
2062	C₂⁴	—	268	2	no	—
2063	C₂⁴	—	268	2	no	—
2064	C₂⁴	—	268	2	no	—
2065	C₂⁴	—	268	4	no	—
2066	C₂⁴	—	268	4	no	—
2067	C₂⁴	—	67	8	no	—
2068	C₂⁴	—	67	1	no	—
2069	C₂⁴	—	67	1	no	—
2070	C₂⁴	—	67	1	no	—
2071	C₂⁴	—	67	4	no	—
2072	C₂⁴	—	67	2	no	—
2073	C₂⁴	—	67	2	no	—
2074	C₂⁴	—	67	1	no	—
2075	C₂⁴	—	67	1	no	—
2076	C₂⁴	—	67	1	no	—
2077	C₂⁴	—	67	1	no	—
2078	C₂⁴	—	67	2	no	—
2079	C₂⁴	—	67	4	no	—
2080	C₂⁴	—	134	4	no	—
2081	C₂⁴	—	134	8	no	—
2082	C₂⁴	C₂³×D₆₇	1	2	yes	—
2083	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2084	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2085	#41	—	4	4	no	—
2086	#41	—	268	4	no	—
2087	#41	—	268	8	no	—
2088	#41	—	268	4	no	—
2089	#41	—	268	8	no	—
2090	#41	—	268	4	no	—
2091	C₂×Q₈	—	4	2	no	—
2092	C₂×Q₈	—	268	2	no	—
2093	C₂×Q₈	—	268	4	no	—
2094	C₂×Q₈	—	268	4	no	—
2095	C₂×Q₈	—	268	4	no	—
2096	C₂×Q₈	—	268	4	no	—
2097	C₂×Q₈	—	67	2	no	—
2098	C₂×Q₈	—	67	4	no	—
2099	C₂×Q₈	—	67	4	no	—
2100	C₂×Q₈	—	67	2	no	—
2101	C₂×Q₈	—	134	8	no	—
2102	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2103	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2104	C₂×D₄	—	2	4	no	—
2105	C₂×D₄	—	2	8	no	—
2106	C₂×D₄	—	4	2	no	—
2107	C₂×D₄	—	268	2	no	—
2108	C₂×D₄	—	268	4	no	—
2109	C₂×D₄	—	268	4	no	—
2110	C₂×D₄	—	268	8	no	—
2111	C₂×D₄	—	268	8	no	—
2112	C₂×D₄	—	268	4	no	—
2113	C₂×D₄	—	268	4	no	—
2114	C₂×D₄	—	67	4	no	—
2115	C₂×D₄	—	67	4	no	—
2116	C₂×D₄	—	67	4	no	—
2117	C₂×D₄	—	67	4	no	—
2118	C₂×D₄	—	67	4	no	—
2119	C₂×D₄	—	67	2	no	—
2120	C₂×D₄	—	67	2	no	—
2121	C₂×D₄	—	67	4	no	—
2122	C₂×D₄	—	67	4	no	—
2123	C₂×D₄	—	67	2	no	—
2124	C₂×D₄	—	67	4	no	—
2125	C₂×D₄	—	67	2	no	—
2126	C₂×D₄	—	67	4	no	—
2127	C₂×D₄	—	67	4	no	—
2128	C₂×D₄	—	67	4	no	—
2129	C₂×D₄	—	67	4	no	—
2130	C₂×D₄	—	67	2	no	—
2131	C₂×D₄	—	67	2	no	—
2132	C₂×D₄	—	67	4	no	—
2133	C₂×D₄	—	67	2	no	—
2134	C₂×D₄	—	67	4	no	—
2135	C₂×D₄	—	67	2	no	—
2136	C₂×D₄	—	134	4	no	—
2137	C₂×D₄	—	134	8	no	—
2138	C₂×D₄	—	134	8	no	—
2139	C₂×D₄	—	134	8	no	—
2140	C₂×D₄	—	134	8	no	—
2141	C₂×D₄	—	134	16	no	—
2142	C₂×D₄	—	134	16	no	—
2143	C₂×D₄	—	134	8	no	—
2144	C₂×D₄	—	134	16	no	—
2145	C₂×D₄	—	134	8	no	—
2146	C₂×D₄	—	134	16	no	—
2147	C₂×D₄	—	134	4	no	—
2148	C₂×D₄	—	134	8	no	—
2149	C₂×D₄	—	134	4	no	—
2150	C₂×D₄	—	134	8	no	—
2151	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2152	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2153	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2154	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2155	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2156	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2157	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2158	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2159	C₂²×C₄	—	4	2	no	—
2160	C₂²×C₄	—	4	2	no	—
2161	C₂²×C₄	—	268	2	no	—
2162	C₂²×C₄	—	268	2	no	—
2163	C₂²×C₄	—	268	2	no	—
2164	C₂²×C₄	—	268	2	no	—
2165	C₂²×C₄	—	268	4	no	—
2166	C₂²×C₄	—	268	4	no	—
2167	C₂²×C₄	—	268	2	no	—
2168	C₂²×C₄	—	268	2	no	—
2169	C₂²×C₄	—	268	2	no	—
2170	C₂²×C₄	—	268	2	no	—
2171	C₂²×C₄	—	268	4	no	—
2172	C₂²×C₄	—	268	8	no	—
2173	C₂²×C₄	—	268	2	no	—
2174	C₂²×C₄	—	268	8	no	—
2175	C₂²×C₄	—	268	4	no	—
2176	C₂²×C₄	—	268	2	no	—
2177	C₂²×C₄	—	268	2	no	—
2178	C₂²×C₄	—	268	4	no	—
2179	C₂²×C₄	—	268	2	no	—
2180	C₂²×C₄	—	268	2	no	—
2181	C₂²×C₄	—	268	2	no	—
2182	C₂²×C₄	—	268	2	no	—
2183	C₂²×C₄	—	67	1	no	—
2184	C₂²×C₄	—	67	1	no	—
2185	C₂²×C₄	—	67	2	no	—
2186	C₂²×C₄	—	67	1	no	—
2187	C₂²×C₄	—	67	2	no	—
2188	C₂²×C₄	—	67	1	no	—
2189	C₂²×C₄	—	67	4	no	—
2190	C₂²×C₄	—	67	4	no	—
2191	C₂²×C₄	—	67	1	no	—
2192	C₂²×C₄	—	67	2	no	—
2193	C₂²×C₄	—	67	2	no	—
2194	C₂²×C₄	—	67	1	no	—
2195	C₂²×C₄	—	67	1	no	—
2196	C₂²×C₄	—	67	4	no	—
2197	C₂²×C₄	—	67	2	no	—
2198	C₂²×C₄	—	67	4	no	—
2199	C₂²×C₄	—	67	1	no	—
2200	C₂²×C₄	—	67	1	no	—
2201	C₂²×C₄	—	67	4	no	—
2202	C₂²×C₄	—	67	4	no	—
2203	C₂²×C₄	—	67	4	no	—
2204	C₂²×C₄	—	67	4	no	—
2205	C₂²×C₄	—	67	1	no	—
2206	C₂²×C₄	—	67	1	no	—
2207	C₂²×C₄	—	67	2	no	—
2208	C₂²×C₄	—	67	2	no	—
2209	C₂²×C₄	—	67	1	no	—
2210	C₂²×C₄	—	67	1	no	—
2211	C₂²×C₄	—	67	1	no	—
2212	C₂²×C₄	—	67	2	no	—
2213	C₂²×C₄	—	67	1	no	—
2214	C₂²×C₄	—	67	1	no	—
2215	C₂²×C₄	—	67	2	no	—
2216	C₂²×C₄	—	67	2	no	—
2217	C₂²×C₄	—	67	4	no	—
2218	C₂²×C₄	—	67	2	no	—
2219	C₂²×C₄	—	67	2	no	—
2220	C₂²×C₄	—	67	1	no	—
2221	C₂²×C₄	—	67	2	no	—
2222	C₂²×C₄	—	67	1	no	—
2223	C₂²×C₄	—	67	1	no	—
2224	C₂²×C₄	—	67	4	no	—
2225	C₂²×C₄	—	67	4	no	—
2226	C₂²×C₄	—	67	1	no	—
2227	C₂²×C₄	—	67	1	no	—
2228	C₂²×C₄	—	67	4	no	—
2229	C₂²×C₄	—	67	1	no	—
2230	C₂²×C₄	—	67	1	no	—
2231	C₂²×C₄	—	67	1	no	—
2232	C₂²×C₄	—	67	1	no	—
2233	C₂²×C₄	—	67	2	no	—
2234	C₂²×C₄	—	67	2	no	—
2235	C₂²×C₄	—	134	4	no	—
2236	C₂²×C₄	—	134	4	no	—
2237	C₂²×C₄	—	134	4	no	—
2238	C₂²×C₄	—	134	8	no	—
2239	C₂²×C₄	—	134	8	no	—
2240	C₂²×C₄	—	134	4	no	—
2241	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2242	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2243	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2244	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2245	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2246	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2247	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2248	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2249	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2250	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2251	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2252	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2253	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2254	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2255	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2256	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2257	C₄⋊C₄	—	67	4	no	—
2258	C₄⋊C₄	—	67	2	no	—
2259	C₄⋊C₄	—	67	4	no	—
2260	C₄⋊C₄	—	67	4	no	—
2261	C₄⋊C₄	—	67	4	no	—
2262	C₄⋊C₄	—	67	4	no	—
2263	C₄⋊C₄	—	67	2	no	—
2264	C₄⋊C₄	—	67	2	no	—
2265	C₄⋊C₄	—	67	2	no	—
2266	C₄⋊C₄	—	67	2	no	—
2267	C₄⋊C₄	—	67	2	no	—
2268	C₄⋊C₄	—	67	2	no	—
2269	C₄⋊C₄	—	67	2	no	—
2270	C₄⋊C₄	—	67	4	no	—
2271	C₄⋊C₄	—	67	2	no	—
2272	C₄⋊C₄	—	67	4	no	—
2273	C₄⋊C₄	—	67	4	no	—
2274	C₄⋊C₄	—	67	4	no	—
2275	C₄⋊C₄	—	67	4	no	—
2276	C₄⋊C₄	—	67	2	no	—
2277	C₄⋊C₄	—	67	4	no	—
2278	C₄⋊C₄	—	67	4	no	—
2279	C₄⋊C₄	—	67	4	no	—
2280	C₄⋊C₄	—	67	4	no	—
2281	C₄⋊C₄	—	67	4	no	—
2282	C₄⋊C₄	—	67	4	no	—
2283	C₄⋊C₄	—	67	4	no	—
2284	C₄⋊C₄	—	67	4	no	—
2285	C₄⋊C₄	—	67	4	no	—
2286	C₄⋊C₄	—	67	4	no	—
2287	C₄⋊C₄	—	67	4	no	—
2288	C₄⋊C₄	—	67	4	no	—
2289	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2290	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2291	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2292	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2293	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2294	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2295	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2296	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2297	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2298	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2299	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2300	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2301	C₂²⋊C₄	—	67	2	no	—
2302	C₂²⋊C₄	—	67	4	no	—
2303	C₂²⋊C₄	—	67	4	no	—
2304	C₂²⋊C₄	—	67	2	no	—
2305	C₂²⋊C₄	—	67	4	no	—
2306	C₂²⋊C₄	—	67	2	no	—
2307	C₂²⋊C₄	—	67	4	no	—
2308	C₂²⋊C₄	—	67	4	no	—
2309	C₂²⋊C₄	—	67	2	no	—
2310	C₂²⋊C₄	—	67	4	no	—
2311	C₂²⋊C₄	—	67	4	no	—
2312	C₂²⋊C₄	—	67	4	no	—
2313	C₂²⋊C₄	—	67	4	no	—
2314	C₂²⋊C₄	—	67	4	no	—
2315	C₂²⋊C₄	—	67	2	no	—
2316	C₂²⋊C₄	—	67	2	no	—
2317	C₂²⋊C₄	—	67	4	no	—
2318	C₂²⋊C₄	—	67	4	no	—
2319	C₂²⋊C₄	—	67	4	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	4	no	—
2328	C₂²⋊C₄	—	67	4	no	—
2329	C₂²⋊C₄	—	67	4	no	—
2330	C₂²⋊C₄	—	67	4	no	—
2331	C₂²⋊C₄	—	67	2	no	—
2332	C₂²⋊C₄	—	67	2	no	—
2333	C₂²⋊C₄	—	67	4	no	—
2334	C₂²⋊C₄	—	67	4	no	—
2335	C₂²⋊C₄	—	67	4	no	—
2336	C₂²⋊C₄	—	67	4	no	—
2337	C₂²⋊C₄	—	67	4	no	—
2338	C₂²⋊C₄	—	67	4	no	—
2339	C₂²⋊C₄	—	67	4	no	—
2340	C₂²⋊C₄	—	67	4	no	—
2341	C₂²⋊C₄	—	67	4	no	—
2342	C₂²⋊C₄	—	67	4	no	—
2343	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2344	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2345	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2346	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2347	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2348	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2349	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2350	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2351	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2352	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2353	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2354	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2355	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2356	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2357	C₄²	—	67	2	no	—
2358	C₄²	—	67	2	no	—
2359	C₄²	—	67	2	no	—
2360	C₄²	—	67	2	no	—
2361	C₄²	—	67	2	no	—
2362	C₄²	—	67	2	no	—
2363	C₄²	—	67	4	no	—
2364	C₄²	—	67	4	no	—
2365	C₄²	—	67	4	no	—
2366	C₄²	—	67	4	no	—
2367	C₄²	—	67	4	no	—
2368	C₄²	—	67	4	no	—
2369	C₄²	C₂³×D₆₇	1	2	yes	—
2370	C₄²	C₂³×D₆₇	1	2	yes	—
2371	C₄²	C₂³×D₆₇	1	4	yes	—
2372	C₄²	C₂³×D₆₇	1	4	yes	—
2373	C₂³	—	2	2	no	—
2374	C₂³	—	2	4	no	—
2375	C₂³	—	4	1	no	—
2376	C₂³	—	4	1	no	—
2377	C₂³	—	4	1	no	—
2378	C₂³	—	4	1	no	—
2379	C₂³	—	4	2	no	—
2380	C₂³	—	4	2	no	—
2381	C₂³	—	268	1	no	—
2382	C₂³	—	268	1	no	—
2383	C₂³	—	268	1	no	—
2384	C₂³	—	268	1	no	—
2385	C₂³	—	268	2	no	—
2386	C₂³	—	268	1	no	—
2387	C₂³	—	268	1	no	—
2388	C₂³	—	268	1	no	—
2389	C₂³	—	268	1	no	—
2390	C₂³	—	268	2	no	—
2391	C₂³	—	268	2	no	—
2392	C₂³	—	268	4	no	—
2393	C₂³	—	268	2	no	—
2394	C₂³	—	268	4	no	—
2395	C₂³	—	268	16	no	—
2396	C₂³	—	268	16	no	—
2397	C₂³	—	536	16	no	—
2398	C₂³	—	67	4	no	—
2399	C₂³	—	67	4	no	—
2400	C₂³	—	67	4	no	—
2401	C₂³	—	67	1	no	—
2402	C₂³	—	67	4	no	—
2403	C₂³	—	67	4	no	—
2404	C₂³	—	67	4	no	—
2405	C₂³	—	67	1	no	—
2406	C₂³	—	67	1	no	—
2407	C₂³	—	67	1	no	—
2408	C₂³	—	67	2	no	—
2409	C₂³	—	67	4	no	—
2410	C₂³	—	134	4	no	—
2411	C₂³	—	134	8	no	—
2412	C₂³	—	134	8	no	—
2413	C₂³	—	134	4	no	—
2414	C₂³	—	134	4	no	—
2415	C₂³	—	134	8	no	—
2416	C₂³	—	134	4	no	—
2417	C₂³	—	134	8	no	—
2418	C₂³	—	134	2	no	—
2419	C₂³	—	134	2	no	—
2420	C₂³	—	134	2	no	—
2421	C₂³	—	134	2	no	—
2422	C₂³	—	134	2	no	—
2423	C₂³	—	134	2	no	—
2424	C₂³	—	134	2	no	—
2425	C₂³	—	134	4	no	—
2426	C₂³	#41×D₆₇	1	4	yes	complemented
2427	C₂³	C₂⁴×D₆₇	1	2	yes	—
2428	C₂³	C₂⁴×D₆₇	1	4	yes	—
2429	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2430	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2431	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2432	Q₈	—	2	4	no	—
2433	Q₈	—	4	2	no	—
2434	Q₈	—	268	2	no	—
2435	Q₈	—	268	4	no	—
2436	Q₈	—	134	8	no	—
2437	Q₈	—	134	4	no	—
2438	D₄	—	2	4	no	—
2439	D₄	—	2	8	no	—
2440	D₄	—	2	4	no	—
2441	D₄	—	2	8	no	—
2442	D₄	—	2	4	no	—
2443	D₄	—	4	2	no	—
2444	D₄	—	4	4	no	—
2445	D₄	—	4	4	no	—
2446	D₄	—	268	2	no	—
2447	D₄	—	268	4	no	—
2448	D₄	—	268	4	no	—
2449	D₄	—	268	4	no	—
2450	D₄	—	268	4	no	—
2451	D₄	—	268	4	no	—
2452	D₄	—	268	4	no	—
2453	D₄	—	268	4	no	—
2454	D₄	—	134	4	no	—
2455	D₄	—	134	8	no	—
2456	D₄	—	134	4	no	—
2457	D₄	—	134	8	no	—
2458	D₄	—	134	8	no	—
2459	D₄	—	134	4	no	—
2460	D₄	—	134	8	no	—
2461	D₄	—	134	4	no	—
2462	D₄	—	134	8	no	—
2463	D₄	—	134	4	no	—
2464	D₄	—	134	8	no	—
2465	D₄	—	134	4	no	—
2466	D₄	—	134	8	no	—
2467	D₄	—	134	4	no	—
2468	C₂×C₄	—	2	4	no	—
2469	C₂×C₄	—	2	2	no	—
2470	C₂×C₄	—	2	2	no	—
2471	C₂×C₄	—	2	2	no	—
2472	C₂×C₄	—	2	2	no	—
2473	C₂×C₄	—	2	4	no	—
2474	C₂×C₄	—	4	1	no	—
2475	C₂×C₄	—	4	2	no	—
2476	C₂×C₄	—	4	1	no	—
2477	C₂×C₄	—	4	1	no	—
2478	C₂×C₄	—	4	1	no	—
2479	C₂×C₄	—	4	2	no	—
2480	C₂×C₄	—	4	4	no	—
2481	C₂×C₄	—	4	1	no	—
2482	C₂×C₄	—	4	4	no	—
2483	C₂×C₄	—	4	2	no	—
2484	C₂×C₄	—	268	2	no	—
2485	C₂×C₄	—	268	2	no	—
2486	C₂×C₄	—	268	2	no	—
2487	C₂×C₄	—	268	1	no	—
2488	C₂×C₄	—	268	1	no	—
2489	C₂×C₄	—	268	1	no	—
2490	C₂×C₄	—	268	1	no	—
2491	C₂×C₄	—	268	1	no	—
2492	C₂×C₄	—	268	1	no	—
2493	C₂×C₄	—	268	4	no	—
2494	C₂×C₄	—	268	4	no	—
2495	C₂×C₄	—	268	4	no	—
2496	C₂×C₄	—	268	2	no	—
2497	C₂×C₄	—	268	4	no	—
2498	C₂×C₄	—	268	4	no	—
2499	C₂×C₄	—	268	4	no	—
2500	C₂×C₄	—	268	1	no	—
2501	C₂×C₄	—	268	2	no	—
2502	C₂×C₄	—	268	1	no	—
2503	C₂×C₄	—	268	1	no	—
2504	C₂×C₄	—	268	1	no	—
2505	C₂×C₄	—	268	2	no	—
2506	C₂×C₄	—	268	4	no	—
2507	C₂×C₄	—	268	1	no	—
2508	C₂×C₄	—	268	4	no	—
2509	C₂×C₄	—	268	2	no	—
2510	C₂×C₄	—	67	1	no	—
2511	C₂×C₄	—	67	4	no	—
2512	C₂×C₄	—	67	2	no	—
2513	C₂×C₄	—	67	2	no	—
2514	C₂×C₄	—	67	4	no	—
2515	C₂×C₄	—	67	1	no	—
2516	C₂×C₄	—	67	2	no	—
2517	C₂×C₄	—	67	4	no	—
2518	C₂×C₄	—	67	4	no	—
2519	C₂×C₄	—	67	1	no	—
2520	C₂×C₄	—	67	1	no	—
2521	C₂×C₄	—	134	2	no	—
2522	C₂×C₄	—	134	2	no	—
2523	C₂×C₄	—	134	2	no	—
2524	C₂×C₄	—	134	4	no	—
2525	C₂×C₄	—	134	2	no	—
2526	C₂×C₄	—	134	4	no	—
2527	C₂×C₄	—	134	4	no	—
2528	C₂×C₄	—	134	2	no	—
2529	C₂×C₄	—	134	2	no	—
2530	C₂×C₄	—	134	8	no	—
2531	C₂×C₄	—	134	8	no	—
2532	C₂×C₄	—	134	8	no	—
2533	C₂×C₄	—	134	4	no	—
2534	C₂×C₄	—	134	8	no	—
2535	C₂×C₄	—	134	4	no	—
2536	C₂×C₄	—	134	2	no	—
2537	C₂×C₄	—	134	2	no	—
2538	C₂×C₄	—	134	2	no	—
2539	C₂×C₄	—	134	4	no	—
2540	C₂×C₄	—	134	4	no	—
2541	C₂×C₄	—	134	2	no	—
2542	C₂×C₄	—	134	2	no	—
2543	C₂×C₄	—	134	2	no	—
2544	C₂×C₄	—	134	2	no	—
2545	C₂×C₄	—	134	4	no	—
2546	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2547	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2548	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2549	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2550	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2551	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2552	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2553	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2554	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2555	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2556	C₂²	—	2	1	no	—
2557	C₂²	—	2	1	no	—
2558	C₂²	—	2	1	no	—
2559	C₂²	—	2	1	no	—
2560	C₂²	—	2	1	no	—
2561	C₂²	—	2	1	no	—
2562	C₂²	—	2	2	no	—
2563	C₂²	—	2	4	no	—
2564	C₂²	—	2	2	no	—
2565	C₂²	—	2	4	no	—
2566	C₂²	—	2	4	no	—
2567	C₂²	—	2	2	no	—
2568	C₂²	—	4	4	no	—
2569	C₂²	—	4	4	no	—
2570	C₂²	—	8	4	no	—
2571	C₂²	—	268	4	no	—
2572	C₂²	—	268	4	no	—
2573	C₂²	—	268	4	no	—
2574	C₂²	—	268	4	no	—
2575	C₂²	—	268	8	no	—
2576	C₂²	—	268	16	no	—
2577	C₂²	—	268	8	no	—
2578	C₂²	—	536	4	no	—
2579	C₂²	—	536	8	no	—
2580	C₂²	—	67	2	no	—
2581	C₂²	—	67	2	no	—
2582	C₂²	—	67	2	no	—
2583	C₂²	—	67	2	no	—
2584	C₂²	—	67	2	no	—
2585	C₂²	—	67	2	no	—
2586	C₂²	—	134	8	no	—
2587	C₂²	—	134	8	no	—
2588	C₂²	—	134	8	no	—
2589	C₂²	—	134	2	no	—
2590	C₂²	—	134	4	no	—
2591	C₂²	—	134	2	no	—
2592	C₂²	—	134	4	no	—
2593	C₂²	—	134	4	no	—
2594	C₂²	—	134	2	no	—
2595	C₂²	—	134	1	no	—
2596	C₂²	—	134	1	no	—
2597	C₂²	—	134	1	no	—
2598	C₂²	—	134	1	no	—
2599	C₂²	—	134	1	no	—
2600	C₂²	—	134	1	no	—
2601	C₂²	C₂×#41×D₆₇	1	2	yes	—
2602	C₂²	C₂×#41×D₆₇	1	2	yes	—
2603	C₂²	C₂×#41×D₆₇	1	2	yes	—
2604	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2605	C₄	—	2	4	no	—
2606	C₄	—	2	2	no	—
2607	C₄	—	2	1	no	—
2608	C₄	—	2	2	no	—
2609	C₄	—	2	1	no	—
2610	C₄	—	2	1	no	—
2611	C₄	—	2	4	no	—
2612	C₄	—	2	2	no	—
2613	C₄	—	2	4	no	—
2614	C₄	—	67	2	no	—
2615	C₄	—	134	2	no	—
2616	C₄	—	134	4	no	—
2617	C₄	—	134	1	no	—
2618	C₄	—	134	2	no	—
2619	C₄	—	134	1	no	—
2620	C₄	—	134	1	no	—
2621	C₄	—	134	4	no	—
2622	C₄	—	134	2	no	—
2623	C₄	—	134	4	no	—
2624	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2625	C₂	—	2	2	no	—
2626	C₂	—	2	2	no	—
2627	C₂	—	2	2	no	—
2628	C₂	—	4	2	no	—
2629	C₂	—	4	4	no	—
2630	C₂	—	268	2	no	—
2631	C₂	—	268	4	no	—
2632	C₂	—	67	4	no	—
2633	C₂	—	134	2	no	—
2634	C₂	—	134	2	no	—
2635	C₂	—	134	2	no	—
2636	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
2637	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2638	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3505	C₂
hypercenter	#3505	D₆₇
hypocenter	C₆₇	C₂×#3505
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3505

Complements

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

N	H ≅ G/N	type
1. #22574050	C₂	semidirect
2. #22574049	C₂	semidirect
3. #22574048	C₂	semidirect
4. #22574047	C₂	semidirect
5. #22574046	C₂	semidirect
6. #22574045	C₂	semidirect
7. #22574044	C₂	semidirect
8. #22574043	C₂	semidirect
9. #22574042	C₂	semidirect
10. #22574041	C₂	semidirect
11. #22574040	C₂	semidirect
12. #22574039	C₂	semidirect
13. #22574038	C₂	semidirect
14. #22574037	C₂	semidirect
15. #22574036	C₂	semidirect
16. #553×D₆₇	C₂	semidirect
17. #553×D₆₇	C₂	semidirect
18. #552×D₆₇	C₂	semidirect
19. #551×D₆₇	C₂	semidirect
20. #548×D₆₇	C₂	semidirect
21. #546×D₆₇	C₂	semidirect
22. #539×D₆₇	C₂	semidirect
23. #538×D₆₇	C₂	semidirect
24. #534×D₆₇	C₂	semidirect
25. #529×D₆₇	C₂	semidirect
26. #525×D₆₇	C₂	semidirect
27. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
28. C₂×#121×D₆₇	C₂	semidirect
29. #518×D₆₇	C₂	semidirect
30. C₂×C₄×D₄×D₆₇	C₂	semidirect
31. C₆₇×#3505	C₂	semidirect
32. C₂×#41×D₆₇	C₂²	semidirect
33. C₂²×Q₈×D₆₇	C₂²	semidirect
36. C₂²×D₄×D₆₇	C₂²	semidirect
38. C₂³×C₄×D₆₇	C₂²	semidirect
39. #16864099	C₂²	semidirect
40. #16864099	C₂²	semidirect
41. #16864098	C₂²	semidirect
42. #16864098	C₂²	semidirect
43. #16864097	C₂²	semidirect
44. #16864097	C₂²	semidirect
45. #16864097	C₂²	semidirect
46. #16864096	C₂²	semidirect
47. #16864096	C₂²	semidirect
48. #16864095	C₂²	semidirect
49. #16864095	C₂²	semidirect
50. #16864095	C₂²	semidirect
51. #16864094	C₂²	semidirect
52. #16864094	C₂²	semidirect
53. #16864093	C₂²	semidirect
54. #16864093	C₂²	semidirect
55. #16864092	C₂²	semidirect
56. #16864092	C₂²	semidirect
57. #16864091	C₂²	semidirect
58. #16864091	C₂²	semidirect
59. #16864091	C₂²	semidirect
60. #16864090	C₂²	semidirect
61. #16864090	C₂²	semidirect
62. #16864089	C₂²	semidirect
63. #16864089	C₂²	semidirect
64. #16864089	C₂²	semidirect
65. #16864088	C₂²	semidirect
66. #16864087	C₂²	semidirect
67. #16864086	C₂²	semidirect
68. #16864085	C₂²	semidirect
69. #16864084	C₂²	semidirect
70. #16864083	C₂²	semidirect
71. #16864082	C₂²	semidirect
72. #16864081	C₂²	semidirect
73. #16864080	C₂²	semidirect
74. #16864079	C₂²	semidirect
75. #16864078	C₂²	semidirect
76. #16864077	C₂²	semidirect
77. #16864076	C₂²	semidirect
78. #16864075	C₂²	semidirect
79. #16864075	C₂²	semidirect
80. #16864074	C₂²	semidirect
81. #16864073	C₂²	semidirect
82. #16864073	C₂²	semidirect
83. #16864072	C₂²	semidirect
84. #16864072	C₂²	semidirect
85. #16864071	C₂²	semidirect
86. #16864071	C₂²	semidirect
87. #16864070	C₂²	semidirect
88. #16864070	C₂²	semidirect
89. #16864069	C₂²	semidirect
90. #16864069	C₂²	semidirect
91. #16864058	C₂²	semidirect
92. #16864057	C₂²	semidirect
93. #16864056	C₂²	semidirect
94. #16864056	C₂²	semidirect
95. #16864055	C₂²	semidirect
96. #16864055	C₂²	semidirect
97. #16864054	C₂²	semidirect
98. #16864054	C₂²	semidirect
99. #16864053	C₂²	semidirect
100. #16864052	C₂²	semidirect
101. #16864052	C₂²	semidirect
102. #16864043	C₂²	semidirect
103. #16864042	C₂²	semidirect
104. #16864041	C₂²	semidirect
105. #16864040	C₂²	semidirect
106. #16864039	C₂²	semidirect
107. #16864038	C₂²	semidirect
108. #16864037	C₂²	semidirect
109. #16864036	C₂²	semidirect
110. #16864035	C₂²	semidirect
111. #16864034	C₂²	semidirect
112. #16864033	C₂²	semidirect
113. #16863995	C₂²	semidirect
114. #16863994	C₂²	semidirect
115. #16863993	C₂²	semidirect
116. #16863992	C₂²	semidirect
117. #16863991	C₂²	semidirect
118. #16863990	C₂²	semidirect
119. #16863989	C₂²	semidirect
120. #16863988	C₂²	semidirect
121. #16863987	C₂²	semidirect
122. #16863986	C₂²	semidirect
123. #16863985	C₂²	semidirect
124. #16863984	C₂²	semidirect
125. #16863983	C₂²	semidirect
126. #16863982	C₂²	semidirect
127. #16863981	C₂²	semidirect
128. #16863980	C₂²	semidirect
129. #16863979	C₂²	semidirect
130. #16863978	C₂²	semidirect
131. #16863958	C₂²	semidirect
132. #16863957	C₂²	semidirect
133. #16863957	C₂²	semidirect
134. #16863956	C₂²	semidirect
135. #16863956	C₂²	semidirect
136. #16863955	C₂²	semidirect
137. #16863955	C₂²	semidirect
138. #16863954	C₂²	semidirect
139. #16863954	C₂²	semidirect
140. #16863933	C₂²	semidirect
141. #16863932	C₂²	semidirect
142. #16863931	C₂²	semidirect
143. #16863930	C₂²	semidirect
144. #16863929	C₂²	semidirect
145. #16863928	C₂²	semidirect
146. #16863927	C₂²	semidirect
147. #16863926	C₂²	semidirect
148. #16863925	C₂²	semidirect
149. #16863924	C₂²	semidirect
150. #16863923	C₂²	semidirect
151. #126×D₆₇	C₂²	semidirect
152. #126×D₆₇	C₂²	semidirect
153. #126×D₆₇	C₂²	semidirect
154. #125×D₆₇	C₂²	semidirect
155. #125×D₆₇	C₂²	semidirect
156. #124×D₆₇	C₂²	semidirect
157. #124×D₆₇	C₂²	semidirect
158. #16863909	C₂²	semidirect
159. #16863909	C₂²	semidirect
160. #16863908	C₂²	semidirect
161. #16863907	C₂²	semidirect
162. #16863906	C₂²	semidirect
163. #16863906	C₂²	semidirect
164. #16863905	C₂²	semidirect
165. #16863905	C₂²	semidirect
166. #16863904	C₂²	semidirect
167. #16863903	C₂²	semidirect
168. #16863902	C₂²	semidirect
170. #123×D₆₇	C₂²	semidirect
171. #123×D₆₇	C₂²	semidirect
172. #123×D₆₇	C₂²	semidirect
173. #123×D₆₇	C₂²	semidirect
174. C₂×#14524023	C₂²	semidirect
175. C₂×#14524022	C₂²	semidirect
176. C₂×#14524021	C₂²	semidirect
177. C₂×#14524020	C₂²	semidirect
178. C₂×#14524019	C₂²	semidirect
179. C₂²⋊Q₈×D₆₇	C₂²	semidirect
180. C₂²⋊Q₈×D₆₇	C₂²	semidirect
181. C₂²⋊Q₈×D₆₇	C₂²	semidirect
182. C₂²⋊Q₈×D₆₇	C₂²	semidirect
183. C₂²⋊Q₈×D₆₇	C₂²	semidirect
184. C₂²⋊Q₈×D₆₇	C₂²	semidirect
185. C₂²⋊Q₈×D₆₇	C₂²	semidirect
186. C₂²⋊Q₈×D₆₇	C₂²	semidirect
187. C₂²⋊Q₈×D₆₇	C₂²	semidirect
188. C₂²⋊Q₈×D₆₇	C₂²	semidirect
189. C₂×#14524018	C₂²	semidirect
190. C₂×#14524017	C₂²	semidirect
191. C₂×#14524016	C₂²	semidirect
192. C₂×#14524015	C₂²	semidirect
193. C₂×#14524014	C₂²	semidirect
196. #121×D₆₇	C₂²	semidirect
197. #121×D₆₇	C₂²	semidirect
198. #121×D₆₇	C₂²	semidirect
199. #121×D₆₇	C₂²	semidirect
200. #121×D₆₇	C₂²	semidirect
201. #121×D₆₇	C₂²	semidirect
202. #121×D₆₇	C₂²	semidirect
203. #121×D₆₇	C₂²	semidirect
204. #121×D₆₇	C₂²	semidirect
205. #121×D₆₇	C₂²	semidirect
207. #120×D₆₇	C₂²	semidirect
208. #16863871	C₂²	semidirect
209. #16863870	C₂²	semidirect
210. #16863869	C₂²	semidirect
211. #16863869	C₂²	semidirect
212. #16863869	C₂²	semidirect
213. #16863868	C₂²	semidirect
214. #16863868	C₂²	semidirect
215. #16863868	C₂²	semidirect
216. #16863868	C₂²	semidirect
217. C₄×Q₈×D₆₇	C₂²	semidirect
218. C₂×C₄×D₂₆₈	C₂²	semidirect
219. C₂×D₄×Dic₆₇	C₂²	semidirect
220. C₂×#14524005	C₂²	semidirect
221. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
222. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
223. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
224. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
227. C₄×D₄×D₆₇	C₂²	semidirect
228. C₄×D₄×D₆₇	C₂²	semidirect
229. C₄×D₄×D₆₇	C₂²	semidirect
230. C₄×D₄×D₆₇	C₂²	semidirect
231. C₄×D₄×D₆₇	C₂²	semidirect
232. C₄×D₄×D₆₇	C₂²	semidirect
233. C₄×D₄×D₆₇	C₂²	semidirect
234. C₄×D₄×D₆₇	C₂²	semidirect
235. C₄×D₄×D₆₇	C₂²	semidirect
236. C₄×D₄×D₆₇	C₂²	semidirect
237. C₄×D₄×D₆₇	C₂²	semidirect
238. C₄×D₄×D₆₇	C₂²	semidirect
239. #117×D₆₇	C₂²	semidirect
240. #117×D₆₇	C₂²	semidirect
241. #117×D₆₇	C₂²	semidirect
242. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
243. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
244. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
245. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
248. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
249. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
250. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
251. C₂×C₄²×D₆₇	C₂²	semidirect
252. #553×C₆₇	C₂²	semidirect
253. #553×C₆₇	C₂²	semidirect
254. #552×C₆₇	C₂²	semidirect
255. #551×C₆₇	C₂²	semidirect
256. #548×C₆₇	C₂²	semidirect
257. #546×C₆₇	C₂²	semidirect
258. #539×C₆₇	C₂²	semidirect
259. #538×C₆₇	C₂²	semidirect
260. #534×C₆₇	C₂²	semidirect
261. #529×C₆₇	C₂²	semidirect
262. #525×C₆₇	C₂²	semidirect
263. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
264. C₂×#121×C₆₇	C₂²	semidirect
265. #518×C₆₇	C₂²	semidirect
266. C₂×C₄×D₄×C₆₇	C₂²	semidirect
270. C₂×#11761629	C₂³	semidirect
271. C₂×#11761628	C₂³	semidirect
272. C₂×#11761628	C₂³	semidirect
273. C₂×#11761627	C₂³	semidirect
274. C₂×#11761627	C₂³	semidirect
276. C₂²×Dic₁₃₄	C₂³	semidirect
277. C₂²×Dic₁₃₄	C₂³	semidirect
281. C₂×Q₈×D₆₇	C₂³	semidirect
282. C₂×Q₈×D₆₇	C₂³	semidirect
285. C₂²×D₂₆₈	C₂³	semidirect
290. C₂²×C₂²⋊D₆₇	C₂³	semidirect
306. C₂×D₄×D₆₇	C₂³	semidirect
307. C₂×D₄×D₆₇	C₂³	semidirect
309. C₂³×Dic₆₇	C₂³	semidirect
334. C₂²×C₄×D₆₇	C₂³	semidirect
335. C₂²×C₄×D₆₇	C₂³	semidirect
336. C₂²×C₄×D₆₇	C₂³	semidirect
337. C₂²×C₄×D₆₇	C₂³	semidirect
338. #14524038	C₂³	semidirect
339. #14524038	C₂³	semidirect
340. #14524038	C₂³	semidirect
341. #14524038	C₂³	semidirect
342. #14524038	C₂³	semidirect
343. #14524038	C₂³	semidirect
344. #14524038	C₂³	semidirect
345. #14524038	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524037	C₂³	semidirect
348. #14524037	C₂³	semidirect
349. #14524037	C₂³	semidirect
350. #14524036	C₂³	semidirect
351. #14524036	C₂³	semidirect
352. #14524036	C₂³	semidirect
353. #14524036	C₂³	semidirect
354. #14524036	C₂³	semidirect
355. #14524036	C₂³	semidirect
356. #14524036	C₂³	semidirect
357. #14524036	C₂³	semidirect
358. #14524036	C₂³	semidirect
359. #14524035	C₂³	semidirect
360. #14524035	C₂³	semidirect
361. #14524034	C₂³	semidirect
362. #14524034	C₂³	semidirect
363. #14524034	C₂³	semidirect
364. #14524034	C₂³	semidirect
365. #14524033	C₂³	semidirect
366. #14524033	C₂³	semidirect
367. #14524033	C₂³	semidirect
368. #14524033	C₂³	semidirect
369. #14524033	C₂³	semidirect
370. #14524033	C₂³	semidirect
371. #14524032	C₂³	semidirect
372. #14524032	C₂³	semidirect
373. #14524031	C₂³	semidirect
374. #14524031	C₂³	semidirect
375. #14524030	C₂³	semidirect
376. #14524030	C₂³	semidirect
377. #14524029	C₂³	semidirect
378. #14524029	C₂³	semidirect
379. #14524029	C₂³	semidirect
380. #14524029	C₂³	semidirect
381. #14524029	C₂³	semidirect
382. #14524029	C₂³	semidirect
385. #14524028	C₂³	semidirect
386. #14524028	C₂³	semidirect
387. #14524028	C₂³	semidirect
388. #14524028	C₂³	semidirect
389. #14524028	C₂³	semidirect
390. #14524028	C₂³	semidirect
391. #14524028	C₂³	semidirect
392. #14524028	C₂³	semidirect
394. #14524027	C₂³	semidirect
395. #14524027	C₂³	semidirect
396. #14524027	C₂³	semidirect
397. #14524027	C₂³	semidirect
399. #14524026	C₂³	semidirect
400. #14524026	C₂³	semidirect
401. #14524026	C₂³	semidirect
402. #14524026	C₂³	semidirect
405. #14524025	C₂³	semidirect
406. #14524025	C₂³	semidirect
407. #14524025	C₂³	semidirect
408. #14524025	C₂³	semidirect
409. #14524025	C₂³	semidirect
410. #14524025	C₂³	semidirect
411. #14524025	C₂³	semidirect
412. #14524025	C₂³	semidirect
414. #14524024	C₂³	semidirect
415. #14524024	C₂³	semidirect
416. #14524024	C₂³	semidirect
417. #14524024	C₂³	semidirect
418. #14524023	C₂³	semidirect
419. #14524023	C₂³	semidirect
420. #14524023	C₂³	semidirect
421. #14524023	C₂³	semidirect
422. #14524023	C₂³	semidirect
423. #14524023	C₂³	semidirect
424. #14524022	C₂³	semidirect
425. #14524022	C₂³	semidirect
426. #14524022	C₂³	semidirect
427. #14524022	C₂³	semidirect
428. #14524022	C₂³	semidirect
429. #14524022	C₂³	semidirect
430. #14524021	C₂³	semidirect
431. #14524021	C₂³	semidirect
432. #14524021	C₂³	semidirect
433. #14524021	C₂³	semidirect
434. #14524021	C₂³	semidirect
435. #14524021	C₂³	semidirect
436. #14524021	C₂³	semidirect
437. #14524020	C₂³	semidirect
438. #14524020	C₂³	semidirect
439. #14524020	C₂³	semidirect
440. #14524020	C₂³	semidirect
441. #14524020	C₂³	semidirect
442. #14524020	C₂³	semidirect
443. #14524020	C₂³	semidirect
444. #14524019	C₂³	semidirect
445. #14524019	C₂³	semidirect
446. #14524019	C₂³	semidirect
447. #14524019	C₂³	semidirect
448. #14524019	C₂³	semidirect
449. #14524019	C₂³	semidirect
452. #14524018	C₂³	semidirect
453. #14524018	C₂³	semidirect
454. #14524018	C₂³	semidirect
455. #14524018	C₂³	semidirect
456. #14524018	C₂³	semidirect
457. #14524018	C₂³	semidirect
460. #14524017	C₂³	semidirect
461. #14524017	C₂³	semidirect
462. #14524017	C₂³	semidirect
463. #14524017	C₂³	semidirect
464. #14524017	C₂³	semidirect
465. #14524017	C₂³	semidirect
468. #14524016	C₂³	semidirect
469. #14524016	C₂³	semidirect
470. #14524016	C₂³	semidirect
471. #14524016	C₂³	semidirect
472. #14524016	C₂³	semidirect
473. #14524016	C₂³	semidirect
474. #14524016	C₂³	semidirect
475. #14524016	C₂³	semidirect
476. #14524016	C₂³	semidirect
479. #14524015	C₂³	semidirect
480. #14524015	C₂³	semidirect
481. #14524015	C₂³	semidirect
482. #14524015	C₂³	semidirect
483. #14524015	C₂³	semidirect
484. #14524015	C₂³	semidirect
485. #14524015	C₂³	semidirect
486. #14524015	C₂³	semidirect
487. #14524015	C₂³	semidirect
490. #14524014	C₂³	semidirect
491. #14524014	C₂³	semidirect
492. #14524014	C₂³	semidirect
493. #14524014	C₂³	semidirect
494. #14524014	C₂³	semidirect
495. #14524014	C₂³	semidirect
499. #14524013	C₂³	semidirect
500. #14524013	C₂³	semidirect
501. #14524013	C₂³	semidirect
503. #14524012	C₂³	semidirect
507. #14524011	C₂³	semidirect
508. #14524011	C₂³	semidirect
509. #14524011	C₂³	semidirect
510. Q₈×Dic₆₇	C₂³	semidirect
511. C₄×Dic₁₃₄	C₂³	semidirect
512. C₄×Dic₁₃₄	C₂³	semidirect
513. #14524008	C₂³	semidirect
514. #14524008	C₂³	semidirect
517. C₄×D₂₆₈	C₂³	semidirect
518. C₄×D₂₆₈	C₂³	semidirect
519. C₄×D₂₆₈	C₂³	semidirect
520. C₄×D₂₆₈	C₂³	semidirect
521. C₄×D₂₆₈	C₂³	semidirect
522. C₄×D₂₆₈	C₂³	semidirect
523. C₄×D₂₆₈	C₂³	semidirect
524. C₄×D₂₆₈	C₂³	semidirect
527. D₄×Dic₆₇	C₂³	semidirect
528. D₄×Dic₆₇	C₂³	semidirect
529. D₄×Dic₆₇	C₂³	semidirect
530. D₄×Dic₆₇	C₂³	semidirect
531. D₄×Dic₆₇	C₂³	semidirect
532. D₄×Dic₆₇	C₂³	semidirect
533. D₄×Dic₆₇	C₂³	semidirect
534. D₄×Dic₆₇	C₂³	semidirect
537. #14524005	C₂³	semidirect
538. #14524005	C₂³	semidirect
539. #14524005	C₂³	semidirect
540. #14524005	C₂³	semidirect
541. #14524005	C₂³	semidirect
542. #14524005	C₂³	semidirect
543. #14524005	C₂³	semidirect
544. #14524005	C₂³	semidirect
549. C₄×C₂²⋊D₆₇	C₂³	semidirect
550. C₄×C₂²⋊D₆₇	C₂³	semidirect
551. C₄×C₂²⋊D₆₇	C₂³	semidirect
552. C₄×C₂²⋊D₆₇	C₂³	semidirect
553. C₄×C₂²⋊D₆₇	C₂³	semidirect
554. C₄×C₂²⋊D₆₇	C₂³	semidirect
555. C₄×C₂²⋊D₆₇	C₂³	semidirect
556. C₄×C₂²⋊D₆₇	C₂³	semidirect
557. C₄×C₂²⋊D₆₇	C₂³	semidirect
558. C₄×C₂²⋊D₆₇	C₂³	semidirect
559. C₄×C₂²⋊D₆₇	C₂³	semidirect
560. C₄×C₂²⋊D₆₇	C₂³	semidirect
561. C₄×C₂²⋊D₆₇	C₂³	semidirect
562. C₄×C₂²⋊D₆₇	C₂³	semidirect
563. C₄×C₂²⋊D₆₇	C₂³	semidirect
568. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
569. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
570. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
571. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
572. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
573. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
574. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
575. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
576. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
577. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
578. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
579. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
580. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
581. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
582. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
583. #14524002	C₂³	semidirect
584. #14524002	C₂³	semidirect
585. #14524002	C₂³	semidirect
586. #14524001	C₂³	semidirect
587. #14524001	C₂³	semidirect
588. #14524001	C₂³	semidirect
589. #14524001	C₂³	semidirect
590. #14524001	C₂³	semidirect
591. #14524001	C₂³	semidirect
592. #14524000	C₂³	semidirect
593. #14524000	C₂³	semidirect
594. #14524000	C₂³	semidirect
595. #14524000	C₂³	semidirect
596. #14524000	C₂³	semidirect
597. #14523999	C₂³	semidirect
598. #14523999	C₂³	semidirect
599. #14523999	C₂³	semidirect
600. #14523999	C₂³	semidirect
601. #14523999	C₂³	semidirect
602. C₂×C₄⋊Dic₆₇	C₂³	semidirect
603. C₂×C₄⋊Dic₆₇	C₂³	semidirect
604. C₂×C₄⋊Dic₆₇	C₂³	semidirect
605. C₂×C₄⋊Dic₆₇	C₂³	semidirect
606. C₂×Dic₆₇⋊C₄	C₂³	semidirect
607. C₂×Dic₆₇⋊C₄	C₂³	semidirect
608. C₂×Dic₆₇⋊C₄	C₂³	semidirect
609. C₂×Dic₆₇⋊C₄	C₂³	semidirect
610. C₂×Dic₆₇⋊C₄	C₂³	semidirect
611. C₂×Dic₆₇⋊C₄	C₂³	semidirect
624. C₄⋊C₄×D₆₇	C₂³	semidirect
625. C₄⋊C₄×D₆₇	C₂³	semidirect
626. C₄⋊C₄×D₆₇	C₂³	semidirect
627. C₄⋊C₄×D₆₇	C₂³	semidirect
628. C₄⋊C₄×D₆₇	C₂³	semidirect
629. C₄⋊C₄×D₆₇	C₂³	semidirect
630. C₄⋊C₄×D₆₇	C₂³	semidirect
631. C₄⋊C₄×D₆₇	C₂³	semidirect
634. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
635. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
636. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
641. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
642. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
643. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
644. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
645. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
646. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
665. C₂²⋊C₄×D₆₇	C₂³	semidirect
666. C₂²⋊C₄×D₆₇	C₂³	semidirect
667. C₂²⋊C₄×D₆₇	C₂³	semidirect
668. C₂²⋊C₄×D₆₇	C₂³	semidirect
669. C₂²⋊C₄×D₆₇	C₂³	semidirect
670. C₂²⋊C₄×D₆₇	C₂³	semidirect
671. C₂²⋊C₄×D₆₇	C₂³	semidirect
672. C₂²⋊C₄×D₆₇	C₂³	semidirect
673. C₂×C₄×Dic₆₇	C₂³	semidirect
674. C₂×C₄×Dic₆₇	C₂³	semidirect
675. C₂×C₄×Dic₆₇	C₂³	semidirect
680. C₄²×D₆₇	C₂³	semidirect
681. C₄²×D₆₇	C₂³	semidirect
682. C₂×#41×C₆₇	C₂³	semidirect
683. C₂²×Q₈×C₆₇	C₂³	semidirect
686. C₂²×D₄×C₆₇	C₂³	semidirect
688. C₂³×C₄×C₆₇	C₂³	semidirect
689. #126×C₆₇	C₂³	semidirect
690. #126×C₆₇	C₂³	semidirect
691. #126×C₆₇	C₂³	semidirect
692. #125×C₆₇	C₂³	semidirect
693. #125×C₆₇	C₂³	semidirect
694. #124×C₆₇	C₂³	semidirect
695. #124×C₆₇	C₂³	semidirect
697. #123×C₆₇	C₂³	semidirect
698. #123×C₆₇	C₂³	semidirect
699. #123×C₆₇	C₂³	semidirect
700. #123×C₆₇	C₂³	semidirect
701. C₂²⋊Q₈×C₆₇	C₂³	semidirect
702. C₂²⋊Q₈×C₆₇	C₂³	semidirect
703. C₂²⋊Q₈×C₆₇	C₂³	semidirect
704. C₂²⋊Q₈×C₆₇	C₂³	semidirect
705. C₂²⋊Q₈×C₆₇	C₂³	semidirect
706. C₂²⋊Q₈×C₆₇	C₂³	semidirect
709. #121×C₆₇	C₂³	semidirect
710. #121×C₆₇	C₂³	semidirect
711. #121×C₆₇	C₂³	semidirect
712. #121×C₆₇	C₂³	semidirect
713. #121×C₆₇	C₂³	semidirect
714. #121×C₆₇	C₂³	semidirect
716. #120×C₆₇	C₂³	semidirect
717. C₄×Q₈×C₆₇	C₂³	semidirect
720. C₄×D₄×C₆₇	C₂³	semidirect
721. C₄×D₄×C₆₇	C₂³	semidirect
722. C₄×D₄×C₆₇	C₂³	semidirect
723. C₄×D₄×C₆₇	C₂³	semidirect
724. C₄×D₄×C₆₇	C₂³	semidirect
725. C₄×D₄×C₆₇	C₂³	semidirect
726. C₄×D₄×C₆₇	C₂³	semidirect
727. C₄×D₄×C₆₇	C₂³	semidirect
728. #117×C₆₇	C₂³	semidirect
729. #117×C₆₇	C₂³	semidirect
730. #117×C₆₇	C₂³	semidirect
731. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
732. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
733. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
734. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
737. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
739. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
740. C₂×C₄²×C₆₇	C₂³	semidirect
749. C₂³×D₆₇	#41	semidirect
1061. C₂³×C₆₇	C₂×#41	semidirect
1103. C₂²×D₆₇	C₂×#41	semidirect
1104. C₂²×D₆₇	C₂×#41	semidirect
1105. C₂²×D₆₇	C₂×#41	semidirect
1319. D₆₇	#3505	direct (N × H)
1335. #3505	D₆₇	direct (N × H)
1351. C₆₇	C₂×#3505	semidirect
1385. #553	C₂×D₆₇	semidirect
1386. #553	C₂×D₆₇	semidirect
1398. #552	C₂×D₆₇	semidirect
1414. #551	C₂×D₆₇	semidirect
1426. #548	C₂×D₆₇	semidirect
1438. #546	C₂×D₆₇	semidirect
1448. #539	C₂×D₆₇	semidirect
1458. #538	C₂×D₆₇	semidirect
1468. #534	C₂×D₆₇	semidirect
1480. #529	C₂×D₆₇	semidirect
1499. #525	C₂×D₆₇	semidirect
1520. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1538. C₂×#121	C₂×D₆₇	semidirect
1550. #518	C₂×D₆₇	semidirect
1573. C₂×C₄×D₄	C₂×D₆₇	semidirect
1596. C₂×#41	C₂²×D₆₇	semidirect
1604. C₂²×Q₈	C₂²×D₆₇	semidirect
1632. C₂²×D₄	C₂²×D₆₇	semidirect
1664. C₂³×C₄	C₂²×D₆₇	semidirect
1686. #126	C₂²×D₆₇	semidirect
1687. #126	C₂²×D₆₇	semidirect
1688. #126	C₂²×D₆₇	semidirect
1701. #125	C₂²×D₆₇	semidirect
1702. #125	C₂²×D₆₇	semidirect
1715. #124	C₂²×D₆₇	semidirect
1716. #124	C₂²×D₆₇	semidirect
1753. #123	C₂²×D₆₇	semidirect
1754. #123	C₂²×D₆₇	semidirect
1755. #123	C₂²×D₆₇	semidirect
1756. #123	C₂²×D₆₇	semidirect
1789. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1790. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1791. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1792. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1793. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1794. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1843. #121	C₂²×D₆₇	semidirect
1844. #121	C₂²×D₆₇	semidirect
1845. #121	C₂²×D₆₇	semidirect
1846. #121	C₂²×D₆₇	semidirect
1847. #121	C₂²×D₆₇	semidirect
1848. #121	C₂²×D₆₇	semidirect
1864. #120	C₂²×D₆₇	semidirect
1870. C₄×Q₈	C₂²×D₆₇	semidirect
1941. C₄×D₄	C₂²×D₆₇	semidirect
1942. C₄×D₄	C₂²×D₆₇	semidirect
1943. C₄×D₄	C₂²×D₆₇	semidirect
1944. C₄×D₄	C₂²×D₆₇	semidirect
1945. C₄×D₄	C₂²×D₆₇	semidirect
1946. C₄×D₄	C₂²×D₆₇	semidirect
1947. C₄×D₄	C₂²×D₆₇	semidirect
1948. C₄×D₄	C₂²×D₆₇	semidirect
1968. #117	C₂²×D₆₇	semidirect
1969. #117	C₂²×D₆₇	semidirect
1970. #117	C₂²×D₆₇	semidirect
2001. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2002. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2003. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2004. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2048. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2049. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2050. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2060. C₂×C₄²	C₂²×D₆₇	semidirect
2426. C₂³	#41×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574050	2
#22574049	2
#22574048	2
#22574047	2
#22574046	2
#22574045	2
#22574044	2
#22574043	2
#22574042	2
#22574041	2
#22574040	2
#22574039	2
#22574038	2
#22574037	2
#22574036	2
#553×D₆₇	2
#552×D₆₇	2
#551×D₆₇	2
#548×D₆₇	2
#546×D₆₇	2
#539×D₆₇	2
#538×D₆₇	2
#534×D₆₇	2
#529×D₆₇	2
#525×D₆₇	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂×#121×D₆₇	2
#518×D₆₇	2
C₂×C₄×D₄×D₆₇	2
C₆₇×#3505	2
C₂×#3505	67

Subgroups — #3505×D67 #31763746

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3505×D₆₇ #31763746