Subgroups — #31763144

Order 17152.

7346 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574525	C₂	1	4	yes	maximal, complemented
2	#22574502	C₂	1	4	yes	maximal, complemented
3	#22574484	C₂	1	2	yes	maximal, complemented
4	#22574469	C₂	1	2	yes	maximal, complemented
5	#22574458	C₂	1	1	yes	maximal, characteristic, complemented
6	#22574448	C₂	1	1	yes	maximal, characteristic, complemented
7	#22574436	C₂	1	2	yes	maximal, complemented
8	#22574418	C₂	1	4	yes	maximal, complemented
9	#22574399	C₂	1	4	yes	maximal, complemented
10	#22574380	C₂	1	4	yes	maximal, complemented
11	#22574364	C₂	1	4	yes	maximal, complemented
12	#22574347	C₂	1	4	yes	maximal, complemented
13	#22573811	C₂	1	4	yes	maximal, complemented
14	#22573767	C₂	1	4	yes	maximal, complemented
15	D₄×#11761628	C₂	1	4	yes	maximal, complemented
16	#22573627	C₂	1	4	yes	maximal, complemented
17	#22573616	C₂	1	4	yes	maximal, complemented
18	#22573599	C₂	1	2	yes	maximal, complemented
19	#22573538	C₂	1	2	yes	maximal, complemented
20	C₂×#16863907	C₂	1	2	yes	maximal, complemented
21	C₂×#525×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#11761628	C₂²	1	2	yes	complemented
23	C₂²×#11761628	C₂²	1	2	yes	complemented
24	#16864149	C₂²	1	4	yes	complemented
25	#16864147	C₂²	1	8	yes	complemented
26	#16864143	C₂²	1	8	yes	complemented
27	#16864142	C₂²	1	8	yes	complemented
28	#16864141	C₂²	1	8	yes	complemented
29	#16864139	C₂²	1	4	yes	complemented
30	#16864136	C₂²	1	4	yes	complemented
31	#16864135	C₂²	1	8	yes	complemented
32	#16864135	C₂²	1	4	yes	complemented
33	#16864134	C₂²	1	8	yes	complemented
34	#16864130	C₂²	1	4	yes	complemented
35	#16864116	C₂²	1	4	yes	complemented
36	#16864111	C₂²	1	4	yes	complemented
37	#16864103	C₂²	1	4	yes	complemented
38	#16864100	C₂²	1	8	yes	complemented
39	#16864092	C₂²	1	4	yes	complemented
40	#16864092	C₂²	1	4	yes	complemented
41	#16864091	C₂²	1	8	yes	complemented
42	#16864089	C₂²	1	8	yes	complemented
43	#16864086	C₂²	1	4	yes	complemented
44	#16864086	C₂²	1	4	yes	complemented
45	#16864081	C₂²	1	8	yes	complemented
46	#16864077	C₂²	1	4	yes	complemented
47	#16864074	C₂²	1	4	yes	complemented
48	#16864073	C₂²	1	8	yes	complemented
49	#16864072	C₂²	1	8	yes	complemented
50	#16864072	C₂²	1	8	yes	complemented
51	#16864067	C₂²	1	4	yes	complemented
52	D₄×Dic₁₃₄	C₂²	1	4	yes	complemented
53	#16864055	C₂²	1	4	yes	complemented
54	#16864055	C₂²	1	4	yes	complemented
55	#16864051	C₂²	1	4	yes	complemented
56	#16864050	C₂²	1	4	yes	complemented
57	#16864047	C₂²	1	8	yes	complemented
58	#16864042	C₂²	1	4	yes	complemented
59	#16864042	C₂²	1	4	yes	complemented
60	#16864040	C₂²	1	8	yes	complemented
61	#16864036	C₂²	1	8	yes	complemented
62	#16864036	C₂²	1	8	yes	complemented
63	#16864035	C₂²	1	8	yes	complemented
64	#16864033	C₂²	1	8	yes	complemented
65	D₄×D₂₆₈	C₂²	1	4	yes	complemented
66	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
67	#16864028	C₂²	1	4	yes	complemented
68	#16864025	C₂²	1	4	yes	complemented
69	#16864021	C₂²	1	4	yes	complemented
70	#16864017	C₂²	1	4	yes	complemented
71	#16864017	C₂²	1	4	yes	complemented
72	#16864016	C₂²	1	8	yes	complemented
73	#16864014	C₂²	1	8	yes	complemented
74	#16864008	C₂²	1	2	yes	complemented
75	#16864008	C₂²	1	2	yes	complemented
76	#16864001	C₂²	1	2	yes	complemented
77	#16864001	C₂²	1	2	yes	complemented
78	#16863998	C₂²	1	8	yes	complemented
79	#16863996	C₂²	1	8	yes	complemented
80	#16863995	C₂²	1	4	yes	complemented
81	#16863993	C₂²	1	8	yes	complemented
82	#16863992	C₂²	1	8	yes	complemented
83	#16863991	C₂²	1	4	yes	complemented
84	#16863989	C₂²	1	8	yes	complemented
85	#16863986	C₂²	1	4	yes	complemented
86	#16863984	C₂²	1	8	yes	complemented
87	#16863983	C₂²	1	4	yes	complemented
88	#16863982	C₂²	1	8	yes	complemented
89	#16863981	C₂²	1	8	yes	complemented
90	#16863981	C₂²	1	8	yes	complemented
91	#16863978	C₂²	1	8	yes	complemented
92	#16863974	C₂²	1	4	yes	complemented
93	#16863974	C₂²	1	4	yes	complemented
94	#16863973	C₂²	1	4	yes	complemented
95	#16863970	C₂²	1	4	yes	complemented
96	#16863967	C₂²	1	2	yes	complemented
97	#16863967	C₂²	1	2	yes	complemented
98	#16863963	C₂²	1	4	yes	complemented
99	#16863961	C₂²	1	8	yes	complemented
100	#16863960	C₂²	1	2	yes	complemented
101	#16863960	C₂²	1	2	yes	complemented
102	#16863956	C₂²	1	8	yes	complemented
103	#16863955	C₂²	1	4	yes	complemented
104	#16863955	C₂²	1	4	yes	complemented
105	#16863954	C₂²	1	4	yes	complemented
106	#16863953	C₂²	1	2	yes	complemented
107	#16863946	C₂²	1	2	yes	complemented
108	#16863943	C₂²	1	8	yes	complemented
109	#16863942	C₂²	1	4	yes	complemented
110	#16863942	C₂²	1	4	yes	complemented
111	#16863928	C₂²	1	8	yes	complemented
112	#16863926	C₂²	1	8	yes	complemented
113	#16863926	C₂²	1	8	yes	complemented
114	#16863924	C₂²	1	8	yes	complemented
115	#16863924	C₂²	1	8	yes	complemented
116	#16863907	C₂²	1	4	yes	complemented
117	#16863907	C₂²	1	4	yes	complemented
118	#16863907	C₂²	1	4	yes	complemented
119	#16863907	C₂²	1	4	yes	complemented
120	#16863907	C₂²	1	4	yes	complemented
121	#16863907	C₂²	1	4	yes	complemented
122	#16863907	C₂²	1	4	yes	complemented
123	#16863907	C₂²	1	4	yes	complemented
124	#16863907	C₂²	1	4	yes	complemented
125	#16863905	C₂²	1	8	yes	complemented
126	#16863905	C₂²	1	8	yes	complemented
127	#16863903	C₂²	1	4	yes	complemented
128	#16863903	C₂²	1	4	yes	complemented
129	C₂×#14524026	C₂²	1	4	yes	complemented
130	C₂×#14524022	C₂²	1	2	yes	complemented
131	C₂×#14524022	C₂²	1	2	yes	complemented
132	C₂×#14524017	C₂²	1	2	yes	complemented
133	C₂×#14524017	C₂²	1	2	yes	complemented
134	C₂×#14524012	C₂²	1	4	yes	complemented
135	C₄×#11761628	C₂²	1	4	yes	complemented
136	C₄×#11761627	C₂²	1	8	yes	complemented
137	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
138	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
139	C₄×D₄×D₆₇	C₂²	1	8	yes	complemented
140	C₂×#14524002	C₂²	1	2	yes	complemented
141	C₂×#14524002	C₂²	1	2	yes	complemented
142	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	C₂⁴×C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#525×C₆₇	C₂²	1	1	yes	characteristic
145	#525×C₆₇	C₂²	1	2	yes	complemented
146	#525×C₆₇	C₂²	1	2	yes	complemented
147	#525×C₆₇	C₂²	1	2	yes	complemented
148	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#525×C₆₇	C₂²	1	4	yes	complemented
152	#525×C₆₇	C₂²	1	2	yes	complemented
153	C₂×#123×C₆₇	C₂²	1	2	yes	complemented
154	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	complemented
155	C₂×#121×C₆₇	C₂²	1	2	yes	complemented
156	C₂×#120×C₆₇	C₂²	1	2	yes	complemented
157	C₂×C₄×D₄×C₆₇	C₂²	1	4	yes	complemented
158	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	C₂×#11761628	—	4	8	no	—
160	C₂×#11761628	—	4	8	no	—
161	C₂×#11761628	C₂³	1	4	yes	—
162	C₂×#11761628	C₂³	1	4	yes	—
163	C₂×#11761628	C₂³	1	4	yes	—
164	C₂×#11761628	C₂³	1	4	yes	—
165	C₂×#11761628	C₂³	1	4	yes	—
166	C₂×#11761628	C₂³	1	4	yes	complemented
167	C₂×#11761628	C₂³	1	4	yes	complemented
168	C₂×#11761627	C₂³	1	8	yes	—
169	C₂²×Dic₁₃₄	C₂³	1	2	yes	—
170	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
171	C₂²×D₂₆₈	C₂³	1	2	yes	—
172	C₂²×D₂₆₈	C₂³	1	2	yes	complemented
173	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
174	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
175	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
176	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
177	C₂×D₄×D₆₇	C₂³	1	8	yes	—
178	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
179	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
180	#14524043	C₂³	1	2	yes	complemented
181	#14524043	C₂³	1	4	yes	complemented
182	#14524042	C₂³	1	8	yes	complemented
183	#14524041	C₂³	1	4	yes	complemented
184	#14524041	C₂³	1	4	yes	complemented
185	#14524040	C₂³	1	2	yes	complemented
186	#14524039	C₂³	1	4	yes	—
187	#14524039	C₂³	1	8	yes	—
188	#14524039	C₂³	1	4	yes	—
189	#14524038	C₂³	1	8	yes	complemented
190	#14524038	C₂³	1	8	yes	complemented
191	#14524038	C₂³	1	8	yes	complemented
192	#14524038	C₂³	1	8	yes	complemented
193	#14524036	C₂³	1	8	yes	—
194	#14524036	C₂³	1	8	yes	—
195	#14524036	C₂³	1	8	yes	—
196	#14524036	C₂³	1	8	yes	—
197	#14524036	C₂³	1	8	yes	complemented
198	#14524036	C₂³	1	8	yes	complemented
199	#14524035	C₂³	1	2	yes	complemented
200	#14524035	C₂³	1	2	yes	complemented
201	#14524034	C₂³	1	8	yes	complemented
202	#14524033	C₂³	1	8	yes	complemented
203	#14524033	C₂³	1	8	yes	complemented
204	#14524033	C₂³	1	8	yes	complemented
205	#14524033	C₂³	1	8	yes	complemented
206	#14524032	C₂³	1	4	yes	complemented
207	#14524032	C₂³	1	4	yes	complemented
208	#14524031	C₂³	1	4	yes	complemented
209	#14524030	C₂³	1	4	yes	—
210	#14524030	C₂³	1	8	yes	—
211	#14524030	C₂³	1	4	yes	—
212	#14524029	C₂³	1	8	yes	—
213	#14524029	C₂³	1	8	yes	—
214	#14524029	C₂³	1	8	yes	—
215	#14524029	C₂³	1	8	yes	—
216	#14524029	C₂³	1	8	yes	complemented
217	#14524029	C₂³	1	8	yes	complemented
218	#14524028	C₂³	1	8	yes	complemented
219	#14524028	C₂³	1	8	yes	complemented
220	#14524028	C₂³	1	8	yes	complemented
221	#14524028	C₂³	1	8	yes	complemented
222	#14524027	C₂³	1	8	yes	—
223	#14524027	C₂³	1	8	yes	complemented
224	#14524026	C₂³	1	8	yes	—
225	#14524026	C₂³	1	8	yes	—
226	#14524026	C₂³	1	8	yes	—
227	#14524026	C₂³	1	8	yes	—
228	#14524026	C₂³	1	8	yes	—
229	#14524025	C₂³	1	8	yes	—
230	#14524025	C₂³	1	8	yes	—
231	#14524025	C₂³	1	8	yes	—
232	#14524025	C₂³	1	8	yes	—
233	#14524025	C₂³	1	8	yes	complemented
234	#14524025	C₂³	1	8	yes	complemented
235	#14524024	C₂³	1	8	yes	—
236	#14524024	C₂³	1	8	yes	—
237	#14524024	C₂³	1	4	yes	—
238	#14524024	C₂³	1	4	yes	—
239	#14524024	C₂³	1	4	yes	complemented
240	#14524024	C₂³	1	4	yes	complemented
241	#14524023	C₂³	1	8	yes	complemented
242	#14524022	C₂³	1	4	yes	—
243	#14524022	C₂³	1	4	yes	—
244	#14524022	C₂³	1	4	yes	—
245	#14524022	C₂³	1	4	yes	—
246	#14524022	C₂³	1	8	yes	—
247	#14524022	C₂³	1	4	yes	—
248	#14524022	C₂³	1	4	yes	—
249	#14524022	C₂³	1	4	yes	—
250	#14524022	C₂³	1	4	yes	—
251	#14524022	C₂³	1	4	yes	complemented
252	#14524022	C₂³	1	4	yes	complemented
253	#14524021	C₂³	1	8	yes	complemented
254	#14524021	C₂³	1	8	yes	complemented
255	#14524021	C₂³	1	8	yes	complemented
256	#14524021	C₂³	1	8	yes	complemented
257	#14524020	C₂³	1	8	yes	—
258	#14524020	C₂³	1	8	yes	—
259	#14524020	C₂³	1	8	yes	complemented
260	#14524020	C₂³	1	8	yes	complemented
261	#14524019	C₂³	1	8	yes	complemented
262	#14524019	C₂³	1	8	yes	complemented
263	#14524018	C₂³	1	8	yes	complemented
264	#14524017	C₂³	1	4	yes	—
265	#14524017	C₂³	1	4	yes	—
266	#14524017	C₂³	1	8	yes	—
267	#14524017	C₂³	1	4	yes	—
268	#14524017	C₂³	1	4	yes	—
269	#14524017	C₂³	1	4	yes	—
270	#14524017	C₂³	1	4	yes	—
271	#14524017	C₂³	1	4	yes	—
272	#14524017	C₂³	1	4	yes	—
273	#14524017	C₂³	1	4	yes	complemented
274	#14524017	C₂³	1	4	yes	complemented
275	#14524016	C₂³	1	8	yes	—
276	#14524016	C₂³	1	8	yes	—
277	#14524016	C₂³	1	8	yes	—
278	#14524016	C₂³	1	8	yes	—
279	#14524016	C₂³	1	8	yes	complemented
280	#14524016	C₂³	1	8	yes	complemented
281	#14524015	C₂³	1	8	yes	—
282	#14524015	C₂³	1	8	yes	—
283	#14524015	C₂³	1	8	yes	—
284	#14524015	C₂³	1	8	yes	—
285	#14524015	C₂³	1	8	yes	—
286	#14524015	C₂³	1	8	yes	—
287	#14524015	C₂³	1	8	yes	complemented
288	#14524015	C₂³	1	8	yes	complemented
289	#14524014	C₂³	1	8	yes	—
290	#14524014	C₂³	1	8	yes	—
291	#14524014	C₂³	1	8	yes	—
292	#14524014	C₂³	1	8	yes	—
293	#14524013	C₂³	1	8	yes	—
294	#14524013	C₂³	1	8	yes	complemented
295	#14524012	C₂³	1	8	yes	—
296	#14524012	C₂³	1	8	yes	—
297	#14524012	C₂³	1	8	yes	—
298	#14524012	C₂³	1	8	yes	—
299	#14524012	C₂³	1	8	yes	—
300	#14524011	C₂³	1	4	yes	—
301	#14524011	C₂³	1	8	yes	—
302	#14524011	C₂³	1	8	yes	—
303	#14524011	C₂³	1	4	yes	—
304	#14524011	C₂³	1	4	yes	complemented
305	#14524011	C₂³	1	4	yes	complemented
306	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
307	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
308	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
309	#14524008	C₂³	1	8	yes	complemented
310	C₄×D₂₆₈	C₂³	1	4	yes	complemented
311	C₄×D₂₆₈	C₂³	1	4	yes	complemented
312	C₄×D₂₆₈	C₂³	1	8	yes	complemented
313	D₄×Dic₆₇	C₂³	1	8	yes	—
314	D₄×Dic₆₇	C₂³	1	8	yes	—
315	#14524005	C₂³	1	8	yes	complemented
316	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
317	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
318	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
319	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
320	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
321	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
322	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
323	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
324	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
325	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
326	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
327	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
328	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
329	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
330	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
331	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
332	#14524002	C₂³	1	4	yes	—
333	#14524002	C₂³	1	4	yes	—
334	#14524002	C₂³	1	4	yes	—
335	#14524002	C₂³	1	4	yes	—
336	#14524002	C₂³	1	4	yes	—
337	#14524002	C₂³	1	2	yes	complemented
338	#14524002	C₂³	1	2	yes	complemented
339	#14524002	C₂³	1	4	yes	complemented
340	#14524001	C₂³	1	8	yes	complemented
341	#14524000	C₂³	1	8	yes	complemented
342	#14523999	C₂³	1	8	yes	—
343	#14523999	C₂³	1	8	yes	complemented
344	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
345	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
346	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
347	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	—
348	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	—
349	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
350	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
351	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
352	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
353	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
354	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
355	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
356	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
357	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
358	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
359	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
360	C₄²×D₆₇	C₂³	1	8	yes	complemented
361	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
362	C₂×#41×C₆₇	—	4	4	no	—
363	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
364	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
365	C₂×#41×C₆₇	C₂³	1	2	yes	—
366	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
367	C₂×#41×C₆₇	C₂³	1	2	yes	—
368	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
369	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
370	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
371	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
372	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
373	C₂³×C₄×C₆₇	—	4	4	no	—
374	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
375	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
376	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
377	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
378	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
379	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
380	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
381	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
382	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
383	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
384	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
385	#123×C₆₇	C₂³	1	4	yes	—
386	#123×C₆₇	C₂³	1	2	yes	—
387	#123×C₆₇	C₂³	1	2	yes	—
388	#123×C₆₇	C₂³	1	2	yes	—
389	#123×C₆₇	C₂³	1	2	yes	—
390	#123×C₆₇	C₂³	1	4	yes	—
391	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
392	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
393	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
394	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
395	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
396	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
397	#121×C₆₇	C₂³	1	4	yes	—
398	#121×C₆₇	C₂³	1	2	yes	—
399	#121×C₆₇	C₂³	1	4	yes	—
400	#121×C₆₇	C₂³	1	2	yes	—
401	#121×C₆₇	C₂³	1	2	yes	—
402	#121×C₆₇	C₂³	1	2	yes	—
403	#120×C₆₇	C₂³	1	2	yes	—
404	#120×C₆₇	C₂³	1	2	yes	—
405	#120×C₆₇	C₂³	1	2	yes	—
406	#120×C₆₇	C₂³	1	2	yes	—
407	#120×C₆₇	C₂³	1	4	yes	—
408	#120×C₆₇	C₂³	1	4	yes	—
409	C₄×D₄×C₆₇	C₂³	1	4	yes	—
410	C₄×D₄×C₆₇	C₂³	1	4	yes	—
411	C₄×D₄×C₆₇	C₂³	1	4	yes	—
412	C₄×D₄×C₆₇	C₂³	1	4	yes	—
413	C₄×D₄×C₆₇	C₂³	1	4	yes	—
414	C₄×D₄×C₆₇	C₂³	1	4	yes	—
415	C₄×D₄×C₆₇	C₂³	1	4	yes	—
416	C₄×D₄×C₆₇	C₂³	1	4	yes	—
417	#117×C₆₇	C₂³	1	1	yes	characteristic
418	#117×C₆₇	C₂³	1	2	yes	—
419	#117×C₆₇	C₂³	1	1	yes	characteristic
420	#117×C₆₇	C₂³	1	2	yes	—
421	#117×C₆₇	C₂³	1	2	yes	—
422	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
423	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
424	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
425	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
426	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
427	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
428	C₂³×D₆₇	C₂⁴	1	4	yes	—
429	C₂³×D₆₇	C₂⁴	1	4	yes	—
430	#11761628	—	2	16	no	—
431	#11761628	—	4	8	no	—
432	#11761628	—	4	8	no	—
433	#11761628	—	4	8	no	—
434	#11761628	—	4	8	no	—
435	#11761628	—	4	8	no	—
436	#11761628	—	4	8	no	—
437	#11761627	—	4	16	no	—
438	C₂×Dic₁₃₄	—	4	4	no	—
439	C₂×Dic₁₃₄	—	4	4	no	—
440	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
441	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
442	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
443	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
444	C₂×D₂₆₈	—	4	4	no	—
445	C₂×D₂₆₈	—	4	4	no	—
446	C₂×D₂₆₈	C₂⁴	1	4	yes	—
447	C₂×D₂₆₈	C₂⁴	1	8	yes	—
448	C₂×D₂₆₈	C₂⁴	1	4	yes	—
449	C₂×D₂₆₈	C₂⁴	1	4	yes	—
450	C₂×C₂²⋊D₆₇	—	4	8	no	—
451	C₂×C₂²⋊D₆₇	—	4	8	no	—
452	C₂×C₂²⋊D₆₇	—	4	8	no	—
453	C₂×C₂²⋊D₆₇	—	4	8	no	—
454	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
455	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
456	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
457	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
458	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
459	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
460	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
461	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
462	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
463	D₄×D₆₇	—	4	16	no	—
464	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
465	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
466	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
467	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
468	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
469	C₂×C₄×D₆₇	—	4	8	no	—
470	C₂×C₄×D₆₇	—	4	8	no	—
471	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
472	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
473	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
474	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
475	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
476	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
477	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
478	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
479	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
480	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
481	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
482	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
483	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
484	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
485	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
486	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
487	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
488	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
489	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
490	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
491	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
492	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
494	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
495	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
496	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
497	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
498	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
499	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
500	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
501	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
503	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
506	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
509	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
510	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
511	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
512	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
513	C₄×Dic₆₇	C₂⁴	1	8	yes	—
514	C₄×Dic₆₇	C₂⁴	1	8	yes	—
515	C₄×Dic₆₇	C₂⁴	1	8	yes	—
516	C₄×Dic₆₇	C₂⁴	1	8	yes	—
517	C₄×Dic₆₇	C₂⁴	1	4	yes	—
518	C₄×Dic₆₇	C₂⁴	1	4	yes	—
519	C₂⁴×C₆₇	—	4	2	no	—
520	C₂⁴×C₆₇	—	4	4	no	—
521	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
522	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
523	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
524	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
525	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
526	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
527	#41×C₆₇	—	4	2	no	—
528	#41×C₆₇	—	4	4	no	—
529	#41×C₆₇	—	4	2	no	—
530	#41×C₆₇	—	4	4	no	—
531	#41×C₆₇	—	4	2	no	—
532	#41×C₆₇	—	4	2	no	—
533	C₂×Q₈×C₆₇	—	4	2	no	—
534	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
536	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₆₇	—	4	2	no	—
538	C₂×D₄×C₆₇	—	4	4	no	—
539	C₂×D₄×C₆₇	—	4	8	no	—
540	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
541	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
542	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
543	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
544	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
545	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
546	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
547	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
548	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
550	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₆₇	—	2	4	no	—
552	C₂²×C₄×C₆₇	—	2	8	no	—
553	C₂²×C₄×C₆₇	—	2	8	no	—
554	C₂²×C₄×C₆₇	—	4	2	no	—
555	C₂²×C₄×C₆₇	—	4	4	no	—
556	C₂²×C₄×C₆₇	—	4	2	no	—
557	C₂²×C₄×C₆₇	—	4	4	no	—
558	C₂²×C₄×C₆₇	—	4	2	no	—
559	C₂²×C₄×C₆₇	—	4	2	no	—
560	C₂²×C₄×C₆₇	—	4	4	no	—
561	C₂²×C₄×C₆₇	—	4	2	no	—
562	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
563	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
570	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
571	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
572	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
573	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
574	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
575	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
576	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
577	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
578	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
579	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
580	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
581	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
582	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
584	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
587	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
588	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
589	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
590	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
591	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
593	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
594	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
595	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
596	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
597	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
598	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
599	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
600	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
601	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
602	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
604	C₄²×C₆₇	C₂⁴	1	4	yes	—
605	C₄²×C₆₇	C₂⁴	1	2	yes	—
606	C₄²×C₆₇	C₂⁴	1	2	yes	—
607	C₂³×C₆₇	—	2	2	no	—
608	C₂³×C₆₇	—	2	4	no	—
609	C₂³×C₆₇	—	2	4	no	—
610	C₂³×C₆₇	—	2	4	no	—
611	C₂³×C₆₇	—	2	4	no	—
612	C₂³×C₆₇	—	2	4	no	—
613	C₂³×C₆₇	—	4	1	no	—
614	C₂³×C₆₇	—	4	2	no	—
615	C₂³×C₆₇	—	4	1	no	—
616	C₂³×C₆₇	—	4	2	no	—
617	C₂³×C₆₇	—	4	2	no	—
618	C₂³×C₆₇	—	4	2	no	—
619	C₂³×C₆₇	—	4	2	no	—
620	C₂³×C₆₇	—	4	4	no	—
621	C₂³×C₆₇	—	4	16	no	—
622	C₂³×C₆₇	C₂⁵	1	2	yes	—
623	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
624	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
625	C₂³×C₆₇	C₂⁵	1	2	yes	—
626	C₂³×C₆₇	C₂⁵	1	2	yes	—
627	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
628	C₂³×C₆₇	C₂⁵	1	2	yes	—
629	C₂²×D₆₇	—	2	8	no	—
630	C₂²×D₆₇	—	4	4	no	—
631	C₂²×D₆₇	—	4	4	no	—
632	C₂²×D₆₇	—	4	8	no	—
633	C₂²×D₆₇	—	4	4	no	—
634	C₂²×D₆₇	C₂⁵	1	8	yes	—
635	Q₈×C₆₇	—	4	1	no	—
636	Q₈×C₆₇	—	4	2	no	—
637	Q₈×C₆₇	—	4	1	no	—
638	D₄×C₆₇	—	2	8	no	—
639	D₄×C₆₇	—	2	8	no	—
640	D₄×C₆₇	—	4	4	no	—
641	D₄×C₆₇	—	4	4	no	—
642	D₄×C₆₇	—	4	2	no	—
643	D₄×C₆₇	—	4	2	no	—
644	D₄×C₆₇	—	4	2	no	—
645	D₄×C₆₇	—	4	2	no	—
646	D₄×C₆₇	—	4	1	no	—
647	D₄×C₆₇	—	4	2	no	—
648	D₄×C₆₇	—	4	1	no	—
649	C₂×C₄×C₆₇	—	2	2	no	—
650	C₂×C₄×C₆₇	—	2	4	no	—
651	C₂×C₄×C₆₇	—	2	4	no	—
652	C₂×C₄×C₆₇	—	2	2	no	—
653	C₂×C₄×C₆₇	—	2	2	no	—
654	C₂×C₄×C₆₇	—	2	2	no	—
655	C₂×C₄×C₆₇	—	2	2	no	—
656	C₂×C₄×C₆₇	—	2	4	no	—
657	C₂×C₄×C₆₇	—	2	4	no	—
658	C₂×C₄×C₆₇	—	2	4	no	—
659	C₂×C₄×C₆₇	—	2	4	no	—
660	C₂×C₄×C₆₇	—	2	4	no	—
661	C₂×C₄×C₆₇	—	2	4	no	—
662	C₂×C₄×C₆₇	—	2	4	no	—
663	C₂×C₄×C₆₇	—	2	4	no	—
664	C₂×C₄×C₆₇	—	4	1	no	—
665	C₂×C₄×C₆₇	—	4	2	no	—
666	C₂×C₄×C₆₇	—	4	2	no	—
667	C₂×C₄×C₆₇	—	4	2	no	—
668	C₂×C₄×C₆₇	—	4	1	no	—
669	C₂×C₄×C₆₇	—	4	2	no	—
670	C₂×C₄×C₆₇	—	4	2	no	—
671	C₂×C₄×C₆₇	—	4	4	no	—
672	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	—
673	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
674	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
675	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
676	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
677	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
678	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
679	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
680	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
681	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
682	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
683	C₂²⋊D₆₇	—	2	16	no	—
684	C₂²⋊D₆₇	—	2	16	no	—
685	C₂²⋊D₆₇	—	4	8	no	—
686	C₂²⋊D₆₇	—	4	8	no	—
687	C₂²⋊D₆₇	—	4	8	no	—
688	C₂²⋊D₆₇	—	4	8	no	—
689	C₂²⋊D₆₇	—	4	8	no	—
690	C₂²⋊D₆₇	—	4	8	no	—
691	C₂²⋊D₆₇	—	4	8	no	—
692	C₂×Dic₆₇	—	2	8	no	—
693	C₂×Dic₆₇	—	4	4	no	—
694	C₂×Dic₆₇	—	4	4	no	—
695	C₂×Dic₆₇	—	4	4	no	—
696	C₂×Dic₆₇	—	4	8	no	—
697	C₂×Dic₆₇	C₂⁵	1	8	yes	—
698	C₂×Dic₆₇	C₂⁵	1	8	yes	—
699	C₂×Dic₆₇	C₂⁵	1	8	yes	—
700	D₂₆₈	—	2	8	no	—
701	D₂₆₈	—	4	8	no	—
702	D₂₆₈	—	4	4	no	—
703	D₂₆₈	—	4	4	no	—
704	C₄×D₆₇	—	2	16	no	—
705	C₄×D₆₇	—	4	8	no	—
706	C₄×D₆₇	—	4	8	no	—
707	C₄×D₆₇	—	4	8	no	—
708	C₄×D₆₇	—	4	8	no	—
709	Dic₁₃₄	—	2	8	no	—
710	Dic₁₃₄	—	4	4	no	—
711	Dic₁₃₄	—	4	4	no	—
712	Dic₁₃₄	—	4	8	no	—
713	C₂²×C₆₇	—	2	2	no	—
714	C₂²×C₆₇	—	2	2	no	—
715	C₂²×C₆₇	—	2	2	no	—
716	C₂²×C₆₇	—	2	2	no	—
717	C₂²×C₆₇	—	2	2	no	—
718	C₂²×C₆₇	—	2	2	no	—
719	C₂²×C₆₇	—	2	1	no	—
720	C₂²×C₆₇	—	2	1	no	—
721	C₂²×C₆₇	—	2	4	no	—
722	C₂²×C₆₇	—	2	2	no	—
723	C₂²×C₆₇	—	2	2	no	—
724	C₂²×C₆₇	—	2	2	no	—
725	C₂²×C₆₇	—	2	4	no	—
726	C₂²×C₆₇	—	2	2	no	—
727	C₂²×C₆₇	—	4	4	no	—
728	C₂²×C₆₇	—	4	8	no	—
729	C₂²×C₆₇	—	4	8	no	—
730	C₂²×C₆₇	—	4	4	no	—
731	C₂²×C₆₇	—	4	4	no	—
732	C₂²×C₆₇	—	8	4	no	—
733	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
734	C₂²×C₆₇	#585	1	4	yes	—
735	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
736	C₂×D₆₇	—	2	8	no	—
737	C₂×D₆₇	—	2	8	no	—
738	C₂×D₆₇	—	2	8	no	—
739	C₂×D₆₇	—	8	8	no	—
740	C₂×D₆₇	—	8	8	no	—
741	C₄×C₆₇	—	2	2	no	—
742	C₄×C₆₇	—	2	2	no	—
743	C₄×C₆₇	—	2	2	no	—
744	C₄×C₆₇	—	2	2	no	—
745	C₄×C₆₇	—	2	1	no	—
746	C₄×C₆₇	—	2	1	no	—
747	C₄×C₆₇	—	2	4	no	—
748	C₄×C₆₇	—	2	4	no	—
749	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
750	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
751	Dic₆₇	—	2	8	no	—
752	Dic₆₇	—	2	8	no	—
753	Dic₆₇	—	2	8	no	—
754	#62729	—	67	1	no	maximal, Sylow
755	C₂×C₆₇	—	2	4	no	—
756	C₂×C₆₇	—	2	2	no	—
757	C₂×C₆₇	—	4	2	no	—
758	C₂×C₆₇	—	4	2	no	—
759	C₂×C₆₇	—	4	1	no	—
760	C₂×C₆₇	—	4	1	no	—
761	C₂×C₆₇	—	4	2	no	—
762	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂×C₆₇	C₂×#585	1	2	yes	—
764	D₆₇	—	4	8	no	—
765	#3542	—	67	4	no	—
766	#3541	—	67	4	no	—
767	#3540	—	67	2	no	—
768	#3539	—	67	2	no	—
769	#3538	—	67	1	no	—
770	#3537	—	67	1	no	—
771	#3536	—	67	2	no	—
772	#3535	—	67	4	no	—
773	#3534	—	67	4	no	—
774	#3533	—	67	4	no	—
775	#3532	—	67	4	no	—
776	#3529	—	67	4	no	—
777	#3481	—	67	4	no	—
778	#3475	—	67	4	no	—
779	D₄×#41	—	67	4	no	—
780	#3460	—	67	4	no	—
781	#3459	—	67	4	no	—
782	#3455	—	67	2	no	—
783	#3449	—	67	2	no	—
784	C₂×#525	—	67	2	no	—
785	C₂×#525	D₆₇	1	1	yes	characteristic, complemented
786	C₆₇	#62729	1	1	yes	characteristic, complemented, Sylow
787	C₂²×#41	—	67	2	no	—
788	C₂²×#41	—	67	2	no	—
789	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
790	C₂⁴×C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
791	#563	—	67	4	no	—
792	#563	—	67	8	no	—
793	#562	—	67	8	no	—
794	#562	—	67	8	no	—
795	#562	—	67	8	no	—
796	H(3,𝔽₄)	—	67	4	no	—
797	#560	—	67	4	no	—
798	#560	—	67	8	no	—
799	#560	—	67	8	no	—
800	#560	—	67	4	no	—
801	#559	—	67	4	no	—
802	#556	—	67	4	no	—
803	#555	—	67	4	no	—
804	#554	—	67	8	no	—
805	#554	—	67	4	no	—
806	#553	—	67	8	no	—
807	#553	—	67	8	no	—
808	#553	—	67	4	no	—
809	#553	—	67	4	no	—
810	#552	—	67	4	no	—
811	#552	—	67	4	no	—
812	#552	—	67	8	no	—
813	#551	—	67	4	no	—
814	#551	—	67	8	no	—
815	#551	—	67	4	no	—
816	#551	—	67	8	no	—
817	#551	—	67	8	no	—
818	#550	—	67	4	no	—
819	D₄×Q₈	—	67	4	no	—
820	#548	—	67	4	no	—
821	#548	—	67	4	no	—
822	#547	—	67	4	no	—
823	#547	—	67	4	no	—
824	#547	—	67	8	no	—
825	#546	—	67	8	no	—
826	#546	—	67	8	no	—
827	#546	—	67	8	no	—
828	#546	—	67	4	no	—
829	#546	—	67	4	no	—
830	#546	—	67	8	no	—
831	#546	—	67	8	no	—
832	D₄²	—	67	8	no	—
833	D₄²	—	67	4	no	—
834	D₄²	—	67	4	no	—
835	#544	—	67	4	no	—
836	#543	—	67	4	no	—
837	#542	—	67	8	no	—
838	#542	—	67	8	no	—
839	#542	—	67	4	no	—
840	#542	—	67	4	no	—
841	#541	—	67	2	no	—
842	#541	—	67	2	no	—
843	#540	—	67	8	no	—
844	#540	—	67	8	no	—
845	#540	—	67	2	no	—
846	#540	—	67	2	no	—
847	#539	—	67	8	no	—
848	#539	—	67	4	no	—
849	#539	—	67	8	no	—
850	#539	—	67	4	no	—
851	#539	—	67	8	no	—
852	#538	—	67	8	no	—
853	#538	—	67	4	no	—
854	#538	—	67	8	no	—
855	#538	—	67	4	no	—
856	#538	—	67	8	no	—
857	#538	—	67	8	no	—
858	#538	—	67	8	no	—
859	#537	—	67	4	no	—
860	#537	—	67	4	no	—
861	#537	—	67	4	no	—
862	#536	—	67	2	no	—
863	#536	—	67	2	no	—
864	#536	—	67	4	no	—
865	#535	—	67	2	no	—
866	#535	—	67	2	no	—
867	#535	—	67	4	no	—
868	#535	—	67	8	no	—
869	#534	—	67	4	no	—
870	#534	—	67	4	no	—
871	#534	—	67	4	no	—
872	#534	—	67	8	no	—
873	#533	—	67	2	no	—
874	#532	—	67	4	no	—
875	#532	—	67	4	no	—
876	#532	—	67	8	no	—
877	#532	—	67	2	no	—
878	#529	—	67	8	no	—
879	#529	—	67	8	no	—
880	#529	—	67	8	no	—
881	#529	—	67	8	no	—
882	#529	—	67	8	no	—
883	#525	—	67	4	no	—
884	#525	—	67	4	no	—
885	#525	—	67	4	no	—
886	#525	—	67	4	no	—
887	#525	—	67	4	no	—
888	#525	—	67	4	no	—
889	#525	—	67	4	no	—
890	#525	—	67	4	no	—
891	#525	—	67	4	no	—
892	#525	—	67	4	no	—
893	#525	—	67	4	no	—
894	#525	—	67	8	no	—
895	#525	—	67	8	no	—
896	#525	C₂×D₆₇	1	1	yes	characteristic
897	#525	C₂×D₆₇	1	2	yes	complemented
898	#525	C₂×D₆₇	1	2	yes	complemented
899	#525	C₂×D₆₇	1	2	yes	complemented
900	#525	C₂×D₆₇	1	2	yes	complemented
901	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
902	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
903	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
904	#525	C₂×D₆₇	1	4	yes	complemented
905	C₂×#123	—	67	4	no	—
906	C₂×#123	C₂×D₆₇	1	2	yes	complemented
907	C₂×C₂²⋊Q₈	—	67	2	no	—
908	C₂×C₂²⋊Q₈	—	67	2	no	—
909	C₂×C₂²⋊Q₈	C₂×D₆₇	1	2	yes	complemented
910	C₂×#121	—	67	2	no	—
911	C₂×#121	—	67	2	no	—
912	C₂×#121	C₂×D₆₇	1	2	yes	complemented
913	C₂×#120	—	67	4	no	—
914	C₂×#120	C₂×D₆₇	1	2	yes	complemented
915	C₄×#41	—	67	8	no	—
916	C₄×#41	—	67	4	no	—
917	C₂×C₄×D₄	—	67	4	no	—
918	C₂×C₄×D₄	—	67	4	no	—
919	C₂×C₄×D₄	—	67	8	no	—
920	C₂×C₄×D₄	C₂×D₆₇	1	4	yes	complemented
921	C₂×#117	—	67	2	no	—
922	C₂×#117	—	67	2	no	—
923	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
924	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
925	C₂×#41	—	4	4	no	—
926	C₂×#41	—	268	8	no	—
927	C₂×#41	—	268	8	no	—
928	C₂×#41	—	67	8	no	—
929	C₂×#41	—	67	4	no	—
930	C₂×#41	—	67	4	no	—
931	C₂×#41	—	67	4	no	—
932	C₂×#41	—	67	4	no	—
933	C₂×#41	—	67	4	no	—
934	C₂×#41	—	67	4	no	—
935	C₂×#41	—	67	4	no	—
936	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
937	C₂×#41	C₂²×D₆₇	1	2	yes	—
938	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
939	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
940	C₂×#41	C₂²×D₆₇	1	2	yes	—
941	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
942	C₂²×Q₈	—	67	2	no	—
943	C₂²×Q₈	—	67	2	no	—
944	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
945	C₂²×D₄	—	67	4	no	—
946	C₂²×D₄	—	67	4	no	—
947	C₂²×D₄	—	67	4	no	—
948	C₂²×D₄	—	67	4	no	—
949	C₂²×D₄	—	67	8	no	—
950	C₂²×D₄	—	67	2	no	—
951	C₂²×D₄	—	67	2	no	—
952	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
953	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
954	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
955	C₂³×C₄	—	4	4	no	—
956	C₂³×C₄	—	67	4	no	—
957	C₂³×C₄	—	67	4	no	—
958	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
959	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
960	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
961	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
962	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
963	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
964	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
965	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
966	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
967	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
968	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
969	C₄⋊Q₈	—	67	4	no	—
970	C₄⋊Q₈	—	67	4	no	—
971	C₄⋊Q₈	—	67	8	no	—
972	C₄⋊Q₈	—	67	2	no	—
973	C₄⋊Q₈	—	67	4	no	—
974	#127	—	67	4	no	—
975	#127	—	67	4	no	—
976	#127	—	67	8	no	—
977	#127	—	67	2	no	—
978	#126	—	67	8	no	—
979	#126	—	67	8	no	—
980	#126	—	67	8	no	—
981	#126	—	67	8	no	—
982	#126	—	67	8	no	—
983	#126	—	67	8	no	—
984	#126	—	67	8	no	—
985	#126	—	67	8	no	—
986	#126	—	67	8	no	—
987	#126	—	67	8	no	—
988	#125	—	67	8	no	—
989	#125	—	67	8	no	—
990	#125	—	67	8	no	—
991	#125	—	67	8	no	—
992	#125	—	67	8	no	—
993	#125	—	67	2	no	—
994	#125	—	67	2	no	—
995	#124	—	67	4	no	—
996	#124	—	67	4	no	—
997	#124	—	67	8	no	—
998	#124	—	67	4	no	—
999	#124	—	67	4	no	—
1000	#124	—	67	8	no	—
1001	#124	—	67	8	no	—
1002	#124	—	67	8	no	—
1003	#124	—	67	8	no	—
1004	#124	—	67	8	no	—
1005	#124	—	67	8	no	—
1006	#124	—	67	4	no	—
1007	#123	—	67	4	no	—
1008	#123	—	67	4	no	—
1009	#123	—	67	4	no	—
1010	#123	—	67	4	no	—
1011	#123	—	67	8	no	—
1012	#123	—	67	8	no	—
1013	#123	—	67	8	no	—
1014	#123	—	67	8	no	—
1015	#123	—	67	8	no	—
1016	#123	—	67	8	no	—
1017	#123	—	67	8	no	—
1018	#123	—	67	8	no	—
1019	#123	—	67	8	no	—
1020	#123	—	67	8	no	—
1021	#123	—	67	8	no	—
1022	#123	—	67	8	no	—
1023	#123	—	67	8	no	—
1024	#123	—	67	8	no	—
1025	#123	—	67	8	no	—
1026	#123	—	67	8	no	—
1027	#123	—	67	8	no	—
1028	#123	—	67	8	no	—
1029	#123	—	67	8	no	—
1030	#123	C₂²×D₆₇	1	2	yes	—
1031	#123	C₂²×D₆₇	1	4	yes	—
1032	#123	C₂²×D₆₇	1	4	yes	—
1033	#123	C₂²×D₆₇	1	2	yes	—
1034	#123	C₂²×D₆₇	1	2	yes	—
1035	#123	C₂²×D₆₇	1	2	yes	—
1036	C₂²⋊Q₈	—	67	8	no	—
1037	C₂²⋊Q₈	—	67	8	no	—
1038	C₂²⋊Q₈	—	67	4	no	—
1039	C₂²⋊Q₈	—	67	4	no	—
1040	C₂²⋊Q₈	—	67	4	no	—
1041	C₂²⋊Q₈	—	67	4	no	—
1042	C₂²⋊Q₈	—	67	4	no	—
1043	C₂²⋊Q₈	—	67	4	no	—
1044	C₂²⋊Q₈	—	67	4	no	—
1045	C₂²⋊Q₈	—	67	4	no	—
1046	C₂²⋊Q₈	—	67	4	no	—
1047	C₂²⋊Q₈	—	67	4	no	—
1048	C₂²⋊Q₈	—	67	8	no	—
1049	C₂²⋊Q₈	—	67	8	no	—
1050	C₂²⋊Q₈	—	67	8	no	—
1051	C₂²⋊Q₈	—	67	8	no	—
1052	C₂²⋊Q₈	—	67	8	no	—
1053	C₂²⋊Q₈	—	67	8	no	—
1054	C₂²⋊Q₈	—	67	8	no	—
1055	C₂²⋊Q₈	—	67	8	no	—
1056	C₂²⋊Q₈	—	67	8	no	—
1057	C₂²⋊Q₈	—	67	8	no	—
1058	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1059	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1060	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1061	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1062	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1063	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1064	#121	—	67	8	no	—
1065	#121	—	67	8	no	—
1066	#121	—	67	8	no	—
1067	#121	—	67	8	no	—
1068	#121	—	67	8	no	—
1069	#121	—	67	8	no	—
1070	#121	—	67	8	no	—
1071	#121	—	67	8	no	—
1072	#121	—	67	8	no	—
1073	#121	—	67	8	no	—
1074	#121	—	67	8	no	—
1075	#121	—	67	8	no	—
1076	#121	—	67	4	no	—
1077	#121	—	67	4	no	—
1078	#121	—	67	4	no	—
1079	#121	—	67	4	no	—
1080	#121	—	67	4	no	—
1081	#121	—	67	4	no	—
1082	#121	—	67	4	no	—
1083	#121	—	67	4	no	—
1084	#121	—	67	4	no	—
1085	#121	—	67	4	no	—
1086	#121	—	67	8	no	—
1087	#121	—	67	8	no	—
1088	#121	—	67	8	no	—
1089	#121	—	67	8	no	—
1090	#121	—	67	8	no	—
1091	#121	—	67	8	no	—
1092	#121	—	67	8	no	—
1093	#121	—	67	8	no	—
1094	#121	C₂²×D₆₇	1	2	yes	—
1095	#121	C₂²×D₆₇	1	2	yes	—
1096	#121	C₂²×D₆₇	1	2	yes	—
1097	#121	C₂²×D₆₇	1	2	yes	—
1098	#121	C₂²×D₆₇	1	4	yes	—
1099	#121	C₂²×D₆₇	1	4	yes	—
1100	#120	—	67	8	no	—
1101	#120	—	67	8	no	—
1102	#120	—	67	8	no	—
1103	#120	—	67	8	no	—
1104	#120	—	67	8	no	—
1105	#120	—	67	4	no	—
1106	#120	—	67	4	no	—
1107	#120	—	67	4	no	—
1108	#120	—	67	4	no	—
1109	#120	—	67	8	no	—
1110	#120	—	67	8	no	—
1111	#120	—	67	8	no	—
1112	#120	—	67	8	no	—
1113	#120	C₂²×D₆₇	1	2	yes	—
1114	#120	C₂²×D₆₇	1	4	yes	—
1115	#120	C₂²×D₆₇	1	4	yes	—
1116	#120	C₂²×D₆₇	1	2	yes	—
1117	#120	C₂²×D₆₇	1	2	yes	—
1118	#120	C₂²×D₆₇	1	2	yes	—
1119	C₄×Q₈	—	67	8	no	—
1120	C₄×Q₈	—	67	8	no	—
1121	C₄×Q₈	—	67	4	no	—
1122	C₄×Q₈	—	67	4	no	—
1123	C₄×D₄	—	67	8	no	—
1124	C₄×D₄	—	67	8	no	—
1125	C₄×D₄	—	67	8	no	—
1126	C₄×D₄	—	67	8	no	—
1127	C₄×D₄	—	67	8	no	—
1128	C₄×D₄	—	67	8	no	—
1129	C₄×D₄	—	67	8	no	—
1130	C₄×D₄	—	67	8	no	—
1131	C₄×D₄	—	67	8	no	—
1132	C₄×D₄	—	67	8	no	—
1133	C₄×D₄	—	67	8	no	—
1134	C₄×D₄	—	67	8	no	—
1135	C₄×D₄	—	67	8	no	—
1136	C₄×D₄	—	67	8	no	—
1137	C₄×D₄	—	67	8	no	—
1138	C₄×D₄	—	67	8	no	—
1139	C₄×D₄	—	67	8	no	—
1140	C₄×D₄	—	67	8	no	—
1141	C₄×D₄	—	67	8	no	—
1142	C₄×D₄	—	67	8	no	—
1143	C₄×D₄	—	67	4	no	—
1144	C₄×D₄	—	67	4	no	—
1145	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1146	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1147	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1148	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1149	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1150	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1151	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1152	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1153	#117	—	67	4	no	—
1154	#117	—	67	4	no	—
1155	#117	—	67	4	no	—
1156	#117	—	67	4	no	—
1157	#117	—	67	4	no	—
1158	#117	—	67	4	no	—
1159	#117	—	67	2	no	—
1160	#117	—	67	2	no	—
1161	#117	—	67	8	no	—
1162	#117	—	67	8	no	—
1163	#117	—	67	8	no	—
1164	#117	—	67	8	no	—
1165	#117	C₂²×D₆₇	1	1	yes	characteristic
1166	#117	C₂²×D₆₇	1	2	yes	—
1167	#117	C₂²×D₆₇	1	2	yes	—
1168	#117	C₂²×D₆₇	1	2	yes	—
1169	#117	C₂²×D₆₇	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	—	67	2	no	—
1171	C₂×C₄⋊C₄	—	67	2	no	—
1172	C₂×C₄⋊C₄	—	67	4	no	—
1173	C₂×C₄⋊C₄	—	67	4	no	—
1174	C₂×C₄⋊C₄	—	67	4	no	—
1175	C₂×C₄⋊C₄	—	67	8	no	—
1176	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	—
1177	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	—
1178	C₂×C₂²⋊C₄	—	67	4	no	—
1179	C₂×C₂²⋊C₄	—	67	4	no	—
1180	C₂×C₂²⋊C₄	—	67	4	no	—
1181	C₂×C₂²⋊C₄	—	67	4	no	—
1182	C₂×C₂²⋊C₄	—	67	4	no	—
1183	C₂×C₂²⋊C₄	—	67	4	no	—
1184	C₂×C₂²⋊C₄	—	67	8	no	—
1185	C₂×C₂²⋊C₄	—	67	8	no	—
1186	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1187	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1188	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1189	C₂×C₄²	—	67	4	no	—
1190	C₂×C₄²	—	67	4	no	—
1191	C₂×C₄²	—	67	8	no	—
1192	C₂×C₄²	C₂²×D₆₇	1	2	yes	—
1193	C₂⁴	—	4	2	no	—
1194	C₂⁴	—	4	4	no	—
1195	C₂⁴	—	67	4	no	—
1196	C₂⁴	—	67	4	no	—
1197	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1198	C₂⁴	C₂³×D₆₇	1	2	yes	—
1199	C₂⁴	C₂³×D₆₇	1	2	yes	—
1200	C₂⁴	C₂³×D₆₇	1	2	yes	—
1201	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1202	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1203	#41	—	4	2	no	—
1204	#41	—	4	4	no	—
1205	#41	—	4	2	no	—
1206	#41	—	4	4	no	—
1207	#41	—	4	2	no	—
1208	#41	—	4	2	no	—
1209	#41	—	268	8	no	—
1210	#41	—	268	8	no	—
1211	#41	—	268	8	no	—
1212	#41	—	268	8	no	—
1213	#41	—	268	8	no	—
1214	#41	—	268	8	no	—
1215	#41	—	268	16	no	—
1216	#41	—	134	16	no	—
1217	C₂×Q₈	—	4	2	no	—
1218	C₂×Q₈	—	268	4	no	—
1219	C₂×Q₈	—	268	4	no	—
1220	C₂×Q₈	—	67	8	no	—
1221	C₂×Q₈	—	67	4	no	—
1222	C₂×Q₈	—	67	4	no	—
1223	C₂×Q₈	—	67	4	no	—
1224	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
1225	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1226	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
1227	C₂×D₄	—	4	2	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	8	no	—
1230	C₂×D₄	—	268	4	no	—
1231	C₂×D₄	—	268	4	no	—
1232	C₂×D₄	—	268	16	no	—
1233	C₂×D₄	—	268	8	no	—
1234	C₂×D₄	—	268	8	no	—
1235	C₂×D₄	—	268	8	no	—
1236	C₂×D₄	—	268	8	no	—
1237	C₂×D₄	—	67	8	no	—
1238	C₂×D₄	—	67	8	no	—
1239	C₂×D₄	—	67	8	no	—
1240	C₂×D₄	—	67	8	no	—
1241	C₂×D₄	—	67	8	no	—
1242	C₂×D₄	—	67	8	no	—
1243	C₂×D₄	—	67	8	no	—
1244	C₂×D₄	—	67	8	no	—
1245	C₂×D₄	—	67	8	no	—
1246	C₂×D₄	—	67	8	no	—
1247	C₂×D₄	—	67	4	no	—
1248	C₂×D₄	—	67	4	no	—
1249	C₂×D₄	—	67	4	no	—
1250	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1251	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1252	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1253	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1254	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
1255	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1256	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1257	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1258	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1259	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1260	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
1261	C₂²×C₄	—	2	4	no	—
1262	C₂²×C₄	—	2	8	no	—
1263	C₂²×C₄	—	2	8	no	—
1264	C₂²×C₄	—	4	2	no	—
1265	C₂²×C₄	—	4	4	no	—
1266	C₂²×C₄	—	4	2	no	—
1267	C₂²×C₄	—	4	4	no	—
1268	C₂²×C₄	—	4	2	no	—
1269	C₂²×C₄	—	4	2	no	—
1270	C₂²×C₄	—	4	4	no	—
1271	C₂²×C₄	—	4	2	no	—
1272	C₂²×C₄	—	268	8	no	—
1273	C₂²×C₄	—	268	8	no	—
1274	C₂²×C₄	—	67	4	no	—
1275	C₂²×C₄	—	67	8	no	—
1276	C₂²×C₄	—	67	4	no	—
1277	C₂²×C₄	—	67	4	no	—
1278	C₂²×C₄	—	67	8	no	—
1279	C₂²×C₄	—	67	8	no	—
1280	C₂²×C₄	—	67	8	no	—
1281	C₂²×C₄	—	67	8	no	—
1282	C₂²×C₄	—	67	4	no	—
1283	C₂²×C₄	—	67	8	no	—
1284	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1285	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1286	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1287	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1288	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1290	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1291	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1294	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1295	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1296	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1297	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1300	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1301	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1302	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1303	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1304	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1305	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1306	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1307	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1308	C₄⋊C₄	—	67	4	no	—
1309	C₄⋊C₄	—	67	4	no	—
1310	C₄⋊C₄	—	67	8	no	—
1311	C₄⋊C₄	—	67	8	no	—
1312	C₄⋊C₄	—	67	4	no	—
1313	C₄⋊C₄	—	67	4	no	—
1314	C₄⋊C₄	—	67	8	no	—
1315	C₄⋊C₄	—	67	8	no	—
1316	C₄⋊C₄	—	67	8	no	—
1317	C₄⋊C₄	—	67	8	no	—
1318	C₄⋊C₄	—	67	8	no	—
1319	C₄⋊C₄	—	67	8	no	—
1320	C₄⋊C₄	—	67	8	no	—
1321	C₄⋊C₄	—	67	8	no	—
1322	C₄⋊C₄	—	67	8	no	—
1323	C₄⋊C₄	—	67	8	no	—
1324	C₄⋊C₄	—	67	8	no	—
1325	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1326	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1327	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1328	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1329	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1330	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1331	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1332	C₂²⋊C₄	—	67	8	no	—
1333	C₂²⋊C₄	—	67	8	no	—
1334	C₂²⋊C₄	—	67	4	no	—
1335	C₂²⋊C₄	—	67	4	no	—
1336	C₂²⋊C₄	—	67	8	no	—
1337	C₂²⋊C₄	—	67	8	no	—
1338	C₂²⋊C₄	—	67	8	no	—
1339	C₂²⋊C₄	—	67	8	no	—
1340	C₂²⋊C₄	—	67	8	no	—
1341	C₂²⋊C₄	—	67	8	no	—
1342	C₂²⋊C₄	—	67	8	no	—
1343	C₂²⋊C₄	—	67	8	no	—
1344	C₂²⋊C₄	—	67	8	no	—
1345	C₂²⋊C₄	—	67	8	no	—
1346	C₂²⋊C₄	—	67	8	no	—
1347	C₂²⋊C₄	—	67	8	no	—
1348	C₂²⋊C₄	—	67	8	no	—
1349	C₂²⋊C₄	—	67	8	no	—
1350	C₂²⋊C₄	—	67	8	no	—
1351	C₂²⋊C₄	—	67	8	no	—
1352	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1353	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1354	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1355	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1356	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
1357	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1358	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
1359	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1360	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1361	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1362	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1363	C₄²	—	67	4	no	—
1364	C₄²	—	67	8	no	—
1365	C₄²	—	67	8	no	—
1366	C₄²	—	67	4	no	—
1367	C₄²	—	67	8	no	—
1368	C₄²	—	67	8	no	—
1369	C₄²	C₂³×D₆₇	1	2	yes	—
1370	C₄²	C₂³×D₆₇	1	2	yes	—
1371	C₄²	C₂³×D₆₇	1	4	yes	—
1372	C₂³	—	2	2	no	—
1373	C₂³	—	2	4	no	—
1374	C₂³	—	2	4	no	—
1375	C₂³	—	2	4	no	—
1376	C₂³	—	2	4	no	—
1377	C₂³	—	2	4	no	—
1378	C₂³	—	4	1	no	—
1379	C₂³	—	4	2	no	—
1380	C₂³	—	4	1	no	—
1381	C₂³	—	4	2	no	—
1382	C₂³	—	4	2	no	—
1383	C₂³	—	4	2	no	—
1384	C₂³	—	4	2	no	—
1385	C₂³	—	4	4	no	—
1386	C₂³	—	4	16	no	—
1387	C₂³	—	268	4	no	—
1388	C₂³	—	268	4	no	—
1389	C₂³	—	268	4	no	—
1390	C₂³	—	268	8	no	—
1391	C₂³	—	67	8	no	—
1392	C₂³	—	134	8	no	—
1393	C₂³	C₂⁴×D₆₇	1	2	yes	—
1394	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1395	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1396	C₂³	C₂⁴×D₆₇	1	2	yes	—
1397	C₂³	C₂⁴×D₆₇	1	2	yes	—
1398	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1399	C₂³	C₂⁴×D₆₇	1	2	yes	—
1400	Q₈	—	4	1	no	—
1401	Q₈	—	4	2	no	—
1402	Q₈	—	4	1	no	—
1403	Q₈	—	268	4	no	—
1404	Q₈	—	268	4	no	—
1405	Q₈	—	268	8	no	—
1406	Q₈	—	134	8	no	—
1407	D₄	—	2	8	no	—
1408	D₄	—	2	8	no	—
1409	D₄	—	4	1	no	—
1410	D₄	—	4	2	no	—
1411	D₄	—	4	1	no	—
1412	D₄	—	4	2	no	—
1413	D₄	—	4	2	no	—
1414	D₄	—	4	2	no	—
1415	D₄	—	4	2	no	—
1416	D₄	—	4	4	no	—
1417	D₄	—	4	4	no	—
1418	D₄	—	268	4	no	—
1419	D₄	—	268	4	no	—
1420	D₄	—	268	8	no	—
1421	D₄	—	268	8	no	—
1422	D₄	—	268	8	no	—
1423	D₄	—	268	8	no	—
1424	D₄	—	268	8	no	—
1425	D₄	—	268	8	no	—
1426	D₄	—	268	8	no	—
1427	D₄	—	268	8	no	—
1428	D₄	—	134	16	no	—
1429	D₄	—	134	16	no	—
1430	D₄	—	134	8	no	—
1431	C₂×C₄	—	2	2	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	2	4	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	4	no	—
1436	C₂×C₄	—	2	2	no	—
1437	C₂×C₄	—	2	2	no	—
1438	C₂×C₄	—	2	2	no	—
1439	C₂×C₄	—	2	2	no	—
1440	C₂×C₄	—	2	4	no	—
1441	C₂×C₄	—	2	4	no	—
1442	C₂×C₄	—	2	4	no	—
1443	C₂×C₄	—	2	4	no	—
1444	C₂×C₄	—	2	4	no	—
1445	C₂×C₄	—	2	4	no	—
1446	C₂×C₄	—	4	1	no	—
1447	C₂×C₄	—	4	2	no	—
1448	C₂×C₄	—	4	2	no	—
1449	C₂×C₄	—	4	2	no	—
1450	C₂×C₄	—	4	2	no	—
1451	C₂×C₄	—	4	2	no	—
1452	C₂×C₄	—	4	1	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	268	8	no	—
1455	C₂×C₄	—	268	8	no	—
1456	C₂×C₄	—	268	8	no	—
1457	C₂×C₄	—	268	8	no	—
1458	C₂×C₄	—	268	4	no	—
1459	C₂×C₄	—	268	4	no	—
1460	C₂×C₄	—	268	4	no	—
1461	C₂×C₄	—	268	8	no	—
1462	C₂×C₄	—	67	8	no	—
1463	C₂×C₄	—	67	8	no	—
1464	C₂×C₄	—	67	8	no	—
1465	C₂×C₄	—	134	8	no	—
1466	C₂×C₄	—	134	16	no	—
1467	C₂×C₄	#14524088	1	4	yes	—
1468	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1469	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1470	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1471	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1472	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1473	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1474	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1475	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1476	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1477	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	1	no	—
1482	C₂²	—	2	1	no	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	4	no	—
1487	C₂²	—	2	4	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	4	8	no	—
1493	C₂²	—	4	4	no	—
1494	C₂²	—	4	4	no	—
1495	C₂²	—	4	8	no	—
1496	C₂²	—	4	4	no	—
1497	C₂²	—	8	4	no	—
1498	C₂²	—	536	8	no	—
1499	C₂²	—	536	8	no	—
1500	C₂²	—	134	8	no	—
1501	C₂²	—	134	8	no	—
1502	C₂²	—	134	8	no	—
1503	C₂²	C₂×#14524088	1	2	yes	—
1504	C₂²	#16864232	1	4	yes	—
1505	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1506	C₄	—	2	2	no	—
1507	C₄	—	2	1	no	—
1508	C₄	—	2	1	no	—
1509	C₄	—	2	2	no	—
1510	C₄	—	2	2	no	—
1511	C₄	—	2	2	no	—
1512	C₄	—	2	4	no	—
1513	C₄	—	2	4	no	—
1514	C₄	—	134	8	no	—
1515	C₄	—	134	8	no	—
1516	C₄	—	134	8	no	—
1517	C₄	C₂×#14524088	1	2	yes	—
1518	C₄	C₂×#14524088	1	2	yes	—
1519	C₂	—	2	2	no	—
1520	C₂	—	2	4	no	—
1521	C₂	—	4	1	no	—
1522	C₂	—	4	1	no	—
1523	C₂	—	4	2	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	268	8	no	—
1527	C₂	C₂²×#14524088	1	1	yes	characteristic
1528	C₂	C₂×#16864232	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂×#525×C₆₇	C₂
hypercenter	C₂×#525	D₆₇
hypocenter	C₆₇	#62729
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #22574525	C₂	semidirect
2. #22574502	C₂	semidirect
3. #22574484	C₂	semidirect
4. #22574469	C₂	semidirect
5. #22574458	C₂	semidirect
6. #22574448	C₂	semidirect
7. #22574436	C₂	semidirect
8. #22574418	C₂	semidirect
9. #22574399	C₂	semidirect
10. #22574380	C₂	semidirect
11. #22574364	C₂	semidirect
12. #22574347	C₂	semidirect
13. #22573811	C₂	semidirect
14. #22573767	C₂	semidirect
15. D₄×#11761628	C₂	semidirect
16. #22573627	C₂	semidirect
17. #22573616	C₂	semidirect
18. #22573599	C₂	semidirect
19. #22573538	C₂	semidirect
20. C₂×#16863907	C₂	semidirect
21. C₂×#525×C₆₇	C₂	semidirect
22. C₂²×#11761628	C₂²	semidirect
23. C₂²×#11761628	C₂²	semidirect
24. #16864149	C₂²	semidirect
25. #16864147	C₂²	semidirect
26. #16864143	C₂²	semidirect
27. #16864142	C₂²	semidirect
28. #16864141	C₂²	semidirect
29. #16864139	C₂²	semidirect
30. #16864136	C₂²	semidirect
31. #16864135	C₂²	semidirect
32. #16864135	C₂²	semidirect
33. #16864134	C₂²	semidirect
34. #16864130	C₂²	semidirect
35. #16864116	C₂²	semidirect
36. #16864111	C₂²	semidirect
37. #16864103	C₂²	semidirect
38. #16864100	C₂²	semidirect
39. #16864092	C₂²	semidirect
40. #16864092	C₂²	semidirect
41. #16864091	C₂²	semidirect
42. #16864089	C₂²	semidirect
43. #16864086	C₂²	semidirect
44. #16864086	C₂²	semidirect
45. #16864081	C₂²	semidirect
46. #16864077	C₂²	semidirect
47. #16864074	C₂²	semidirect
48. #16864073	C₂²	semidirect
49. #16864072	C₂²	semidirect
50. #16864072	C₂²	semidirect
51. #16864067	C₂²	semidirect
52. D₄×Dic₁₃₄	C₂²	semidirect
53. #16864055	C₂²	semidirect
54. #16864055	C₂²	semidirect
55. #16864051	C₂²	semidirect
56. #16864050	C₂²	semidirect
57. #16864047	C₂²	semidirect
58. #16864042	C₂²	semidirect
59. #16864042	C₂²	semidirect
60. #16864040	C₂²	semidirect
61. #16864036	C₂²	semidirect
62. #16864036	C₂²	semidirect
63. #16864035	C₂²	semidirect
64. #16864033	C₂²	semidirect
65. D₄×D₂₆₈	C₂²	semidirect
66. D₄×C₂²⋊D₆₇	C₂²	semidirect
67. #16864028	C₂²	semidirect
68. #16864025	C₂²	semidirect
69. #16864021	C₂²	semidirect
70. #16864017	C₂²	semidirect
71. #16864017	C₂²	semidirect
72. #16864016	C₂²	semidirect
73. #16864014	C₂²	semidirect
74. #16864008	C₂²	semidirect
75. #16864008	C₂²	semidirect
76. #16864001	C₂²	semidirect
77. #16864001	C₂²	semidirect
78. #16863998	C₂²	semidirect
79. #16863996	C₂²	semidirect
80. #16863995	C₂²	semidirect
81. #16863993	C₂²	semidirect
82. #16863992	C₂²	semidirect
83. #16863991	C₂²	semidirect
84. #16863989	C₂²	semidirect
85. #16863986	C₂²	semidirect
86. #16863984	C₂²	semidirect
87. #16863983	C₂²	semidirect
88. #16863982	C₂²	semidirect
89. #16863981	C₂²	semidirect
90. #16863981	C₂²	semidirect
91. #16863978	C₂²	semidirect
92. #16863974	C₂²	semidirect
93. #16863974	C₂²	semidirect
94. #16863973	C₂²	semidirect
95. #16863970	C₂²	semidirect
96. #16863967	C₂²	semidirect
97. #16863967	C₂²	semidirect
98. #16863963	C₂²	semidirect
99. #16863961	C₂²	semidirect
100. #16863960	C₂²	semidirect
101. #16863960	C₂²	semidirect
102. #16863956	C₂²	semidirect
103. #16863955	C₂²	semidirect
104. #16863955	C₂²	semidirect
105. #16863954	C₂²	semidirect
106. #16863953	C₂²	semidirect
107. #16863946	C₂²	semidirect
108. #16863943	C₂²	semidirect
109. #16863942	C₂²	semidirect
110. #16863942	C₂²	semidirect
111. #16863928	C₂²	semidirect
112. #16863926	C₂²	semidirect
113. #16863926	C₂²	semidirect
114. #16863924	C₂²	semidirect
115. #16863924	C₂²	semidirect
116. #16863907	C₂²	semidirect
117. #16863907	C₂²	semidirect
118. #16863907	C₂²	semidirect
119. #16863907	C₂²	semidirect
120. #16863907	C₂²	semidirect
121. #16863907	C₂²	semidirect
122. #16863907	C₂²	semidirect
123. #16863907	C₂²	semidirect
124. #16863907	C₂²	semidirect
125. #16863905	C₂²	semidirect
126. #16863905	C₂²	semidirect
127. #16863903	C₂²	semidirect
128. #16863903	C₂²	semidirect
129. C₂×#14524026	C₂²	semidirect
130. C₂×#14524022	C₂²	semidirect
131. C₂×#14524022	C₂²	semidirect
132. C₂×#14524017	C₂²	semidirect
133. C₂×#14524017	C₂²	semidirect
134. C₂×#14524012	C₂²	semidirect
135. C₄×#11761628	C₂²	semidirect
136. C₄×#11761627	C₂²	semidirect
137. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
138. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
139. C₄×D₄×D₆₇	C₂²	semidirect
140. C₂×#14524002	C₂²	semidirect
141. C₂×#14524002	C₂²	semidirect
142. C₂²×#41×C₆₇	C₂²	semidirect
143. C₂⁴×C₄×C₆₇	C₂²	semidirect
145. #525×C₆₇	C₂²	semidirect
146. #525×C₆₇	C₂²	semidirect
147. #525×C₆₇	C₂²	semidirect
148. #525×C₆₇	C₂²	semidirect
149. #525×C₆₇	C₂²	semidirect
150. #525×C₆₇	C₂²	semidirect
151. #525×C₆₇	C₂²	semidirect
152. #525×C₆₇	C₂²	semidirect
153. C₂×#123×C₆₇	C₂²	semidirect
154. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
155. C₂×#121×C₆₇	C₂²	semidirect
156. C₂×#120×C₆₇	C₂²	semidirect
157. C₂×C₄×D₄×C₆₇	C₂²	semidirect
158. C₂×#117×C₆₇	C₂²	semidirect
166. C₂×#11761628	C₂³	semidirect
167. C₂×#11761628	C₂³	semidirect
170. C₂²×Dic₁₃₄	C₂³	semidirect
172. C₂²×D₂₆₈	C₂³	semidirect
179. C₂²×C₄×D₆₇	C₂³	semidirect
180. #14524043	C₂³	semidirect
181. #14524043	C₂³	semidirect
182. #14524042	C₂³	semidirect
183. #14524041	C₂³	semidirect
184. #14524041	C₂³	semidirect
185. #14524040	C₂³	semidirect
189. #14524038	C₂³	semidirect
190. #14524038	C₂³	semidirect
191. #14524038	C₂³	semidirect
192. #14524038	C₂³	semidirect
197. #14524036	C₂³	semidirect
198. #14524036	C₂³	semidirect
199. #14524035	C₂³	semidirect
200. #14524035	C₂³	semidirect
201. #14524034	C₂³	semidirect
202. #14524033	C₂³	semidirect
203. #14524033	C₂³	semidirect
204. #14524033	C₂³	semidirect
205. #14524033	C₂³	semidirect
206. #14524032	C₂³	semidirect
207. #14524032	C₂³	semidirect
208. #14524031	C₂³	semidirect
216. #14524029	C₂³	semidirect
217. #14524029	C₂³	semidirect
218. #14524028	C₂³	semidirect
219. #14524028	C₂³	semidirect
220. #14524028	C₂³	semidirect
221. #14524028	C₂³	semidirect
223. #14524027	C₂³	semidirect
233. #14524025	C₂³	semidirect
234. #14524025	C₂³	semidirect
239. #14524024	C₂³	semidirect
240. #14524024	C₂³	semidirect
241. #14524023	C₂³	semidirect
251. #14524022	C₂³	semidirect
252. #14524022	C₂³	semidirect
253. #14524021	C₂³	semidirect
254. #14524021	C₂³	semidirect
255. #14524021	C₂³	semidirect
256. #14524021	C₂³	semidirect
259. #14524020	C₂³	semidirect
260. #14524020	C₂³	semidirect
261. #14524019	C₂³	semidirect
262. #14524019	C₂³	semidirect
263. #14524018	C₂³	semidirect
273. #14524017	C₂³	semidirect
274. #14524017	C₂³	semidirect
279. #14524016	C₂³	semidirect
280. #14524016	C₂³	semidirect
287. #14524015	C₂³	semidirect
288. #14524015	C₂³	semidirect
294. #14524013	C₂³	semidirect
304. #14524011	C₂³	semidirect
305. #14524011	C₂³	semidirect
306. C₄×Dic₁₃₄	C₂³	semidirect
307. C₄×Dic₁₃₄	C₂³	semidirect
308. C₄×Dic₁₃₄	C₂³	semidirect
309. #14524008	C₂³	semidirect
310. C₄×D₂₆₈	C₂³	semidirect
311. C₄×D₂₆₈	C₂³	semidirect
312. C₄×D₂₆₈	C₂³	semidirect
315. #14524005	C₂³	semidirect
326. C₄×C₂²⋊D₆₇	C₂³	semidirect
327. C₄×C₂²⋊D₆₇	C₂³	semidirect
330. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
331. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
337. #14524002	C₂³	semidirect
338. #14524002	C₂³	semidirect
339. #14524002	C₂³	semidirect
340. #14524001	C₂³	semidirect
341. #14524000	C₂³	semidirect
343. #14523999	C₂³	semidirect
346. C₂×C₄⋊Dic₆₇	C₂³	semidirect
349. C₄⋊C₄×D₆₇	C₂³	semidirect
357. C₂²⋊C₄×D₆₇	C₂³	semidirect
359. C₂×C₄×Dic₆₇	C₂³	semidirect
360. C₄²×D₆₇	C₂³	semidirect
785. C₂×#525	D₆₇	semidirect
786. C₆₇	#62729	semidirect
789. C₂²×#41	C₂×D₆₇	semidirect
790. C₂⁴×C₄	C₂×D₆₇	semidirect
897. #525	C₂×D₆₇	semidirect
898. #525	C₂×D₆₇	semidirect
899. #525	C₂×D₆₇	semidirect
900. #525	C₂×D₆₇	semidirect
901. #525	C₂×D₆₇	semidirect
902. #525	C₂×D₆₇	semidirect
903. #525	C₂×D₆₇	semidirect
904. #525	C₂×D₆₇	semidirect
906. C₂×#123	C₂×D₆₇	semidirect
909. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
912. C₂×#121	C₂×D₆₇	semidirect
914. C₂×#120	C₂×D₆₇	semidirect
920. C₂×C₄×D₄	C₂×D₆₇	semidirect
923. C₂×#117	C₂×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574525	2
#22574502	2
#22574484	2
#22574469	2
#22574458	2
#22574448	2
#22574436	2
#22574418	2
#22574399	2
#22574380	2
#22574364	2
#22574347	2
#22573811	2
#22573767	2
D₄×#11761628	2
#22573627	2
#22573616	2
#22573599	2
#22573538	2
C₂×#16863907	2
C₂×#525×C₆₇	2
#62729	67