Subgroups — #31763864

Order 17152.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574261	C₂	1	2	yes	maximal, complemented
2	#22574257	C₂	1	2	yes	maximal, complemented
3	#22574244	C₂	1	2	yes	maximal, complemented
4	#22574240	C₂	1	2	yes	maximal, complemented
5	#22574156	C₂	1	4	yes	maximal, complemented
6	#22574148	C₂	1	4	yes	maximal, complemented
7	#22574061	C₂	1	1	yes	maximal, characteristic, complemented
8	#22574037	C₂	1	4	yes	maximal, complemented
9	#22574010	C₂	1	1	yes	maximal, characteristic, complemented
10	#22573971	C₂	1	1	yes	maximal, characteristic, complemented
11	#22573912	C₂	1	2	yes	maximal, complemented
12	#22573895	C₂	1	4	yes	maximal, complemented
13	#22573843	C₂	1	2	yes	maximal, complemented
14	#22573818	C₂	1	4	yes	maximal, complemented
15	#22573816	C₂	1	4	yes	maximal, complemented
16	#22573770	C₂	1	2	yes	maximal, complemented
17	#22573766	C₂	1	2	yes	maximal, complemented
18	#22573699	C₂	1	2	yes	maximal, complemented
19	#22573696	C₂	1	2	yes	maximal, complemented
20	#22573622	C₂	1	2	yes	maximal, complemented
21	#22573620	C₂	1	4	yes	maximal, complemented
22	#22573506	C₂	1	1	yes	maximal, characteristic, complemented
23	#22573504	C₂	1	1	yes	maximal, characteristic, complemented
24	#525×D₆₇	C₂	1	4	yes	maximal, complemented
25	#22573415	C₂	1	2	yes	maximal, complemented
26	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#14524089	C₂²	1	2	yes	—
29	C₂×#41×D₆₇	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₆₇	C₂²	1	2	yes	complemented
32	#16864129	C₂²	1	4	yes	complemented
33	#16864116	C₂²	1	2	yes	complemented
34	#16864111	C₂²	1	2	yes	complemented
35	#16864107	C₂²	1	2	yes	complemented
36	#16864106	C₂²	1	4	yes	complemented
37	#16864106	C₂²	1	4	yes	complemented
38	#16864106	C₂²	1	2	yes	complemented
39	#16864102	C₂²	1	4	yes	complemented
40	#16864101	C₂²	1	4	yes	complemented
41	#16864096	C₂²	1	4	yes	complemented
42	#16864096	C₂²	1	4	yes	complemented
43	#16864096	C₂²	1	8	yes	complemented
44	#16864093	C₂²	1	4	yes	complemented
45	#16864091	C₂²	1	8	yes	complemented
46	#16864090	C₂²	1	4	yes	complemented
47	#16864090	C₂²	1	4	yes	complemented
48	#16864087	C₂²	1	4	yes	complemented
49	#16864085	C₂²	1	4	yes	complemented
50	#16864085	C₂²	1	4	yes	complemented
51	#16864080	C₂²	1	4	yes	complemented
52	#16864076	C₂²	1	8	yes	complemented
53	#16864075	C₂²	1	8	yes	complemented
54	#16864074	C₂²	1	8	yes	complemented
55	#16864074	C₂²	1	8	yes	complemented
56	#16864071	C₂²	1	8	yes	complemented
57	#16864071	C₂²	1	8	yes	complemented
58	#16864067	C₂²	1	2	yes	complemented
59	Q₈×D₂₆₈	C₂²	1	2	yes	complemented
60	#16864061	C₂²	1	2	yes	complemented
61	#16864056	C₂²	1	4	yes	complemented
62	#16864053	C₂²	1	4	yes	complemented
63	#16864051	C₂²	1	2	yes	complemented
64	#16864051	C₂²	1	4	yes	complemented
65	#16864051	C₂²	1	2	yes	complemented
66	#16864049	C₂²	1	2	yes	complemented
67	#16864047	C₂²	1	4	yes	complemented
68	#16864043	C₂²	1	4	yes	complemented
69	#16864043	C₂²	1	4	yes	complemented
70	#16864043	C₂²	1	8	yes	complemented
71	#16864043	C₂²	1	4	yes	complemented
72	#16864042	C₂²	1	4	yes	complemented
73	#16864039	C₂²	1	4	yes	complemented
74	#16864039	C₂²	1	4	yes	complemented
75	#16864039	C₂²	1	8	yes	complemented
76	#16864039	C₂²	1	4	yes	complemented
77	#16864038	C₂²	1	8	yes	complemented
78	#16864035	C₂²	1	8	yes	complemented
79	#16864034	C₂²	1	4	yes	complemented
80	D₄×D₂₆₈	C₂²	1	2	yes	complemented
81	#16864031	C₂²	1	4	yes	complemented
82	#16864031	C₂²	1	4	yes	complemented
83	#16864031	C₂²	1	2	yes	complemented
84	#16864030	C₂²	1	4	yes	complemented
85	#16864030	C₂²	1	4	yes	complemented
86	#16864024	C₂²	1	2	yes	complemented
87	#16864021	C₂²	1	4	yes	complemented
88	#16864015	C₂²	1	4	yes	complemented
89	#16864013	C₂²	1	4	yes	complemented
90	#16864000	C₂²	1	4	yes	complemented
91	#16863999	C₂²	1	4	yes	complemented
92	#16863989	C₂²	1	8	yes	complemented
93	#16863988	C₂²	1	8	yes	complemented
94	#16863987	C₂²	1	8	yes	complemented
95	#16863984	C₂²	1	4	yes	complemented
96	#16863981	C₂²	1	8	yes	complemented
97	#16863980	C₂²	1	8	yes	complemented
98	#16863978	C₂²	1	8	yes	complemented
99	#16863974	C₂²	1	2	yes	complemented
100	#16863963	C₂²	1	2	yes	complemented
101	#16863956	C₂²	1	8	yes	complemented
102	#16863954	C₂²	1	4	yes	complemented
103	#16863953	C₂²	1	1	yes	characteristic, complemented
104	#16863951	C₂²	1	1	yes	characteristic, complemented
105	#16863951	C₂²	1	1	yes	characteristic, complemented
106	#16863951	C₂²	1	1	yes	characteristic, complemented
107	#16863951	C₂²	1	1	yes	characteristic, complemented
108	#16863947	C₂²	1	1	yes	characteristic, complemented
109	#16863947	C₂²	1	1	yes	characteristic, complemented
110	#16863946	C₂²	1	1	yes	characteristic, complemented
111	#16863944	C₂²	1	4	yes	complemented
112	#16863944	C₂²	1	1	yes	characteristic, complemented
113	#16863944	C₂²	1	1	yes	characteristic, complemented
114	#16863941	C₂²	1	4	yes	complemented
115	#16863933	C₂²	1	2	yes	complemented
116	#16863933	C₂²	1	2	yes	complemented
117	#16863932	C₂²	1	2	yes	complemented
118	#16863932	C₂²	1	2	yes	complemented
119	#16863931	C₂²	1	2	yes	complemented
120	#16863931	C₂²	1	2	yes	complemented
121	#16863929	C₂²	1	8	yes	complemented
122	#16863928	C₂²	1	2	yes	complemented
123	#16863928	C₂²	1	2	yes	complemented
124	#16863927	C₂²	1	2	yes	complemented
125	#16863927	C₂²	1	2	yes	complemented
126	#16863927	C₂²	1	4	yes	complemented
127	#16863925	C₂²	1	4	yes	complemented
128	#16863925	C₂²	1	2	yes	complemented
129	#16863925	C₂²	1	2	yes	complemented
130	#16863925	C₂²	1	8	yes	complemented
131	#16863909	C₂²	1	2	yes	complemented
132	#16863909	C₂²	1	2	yes	complemented
133	#16863909	C₂²	1	4	yes	complemented
134	#16863908	C₂²	1	2	yes	complemented
135	#16863908	C₂²	1	4	yes	complemented
136	#16863907	C₂²	1	4	yes	complemented
137	#16863906	C₂²	1	2	yes	complemented
138	#16863906	C₂²	1	2	yes	complemented
139	#16863906	C₂²	1	4	yes	complemented
140	#16863906	C₂²	1	8	yes	complemented
141	#16863905	C₂²	1	8	yes	complemented
142	#16863905	C₂²	1	8	yes	complemented
143	#16863904	C₂²	1	8	yes	complemented
144	#16863904	C₂²	1	8	yes	complemented
145	#16863903	C₂²	1	2	yes	complemented
146	#16863903	C₂²	1	4	yes	complemented
147	#16863902	C₂²	1	8	yes	complemented
148	#123×D₆₇	C₂²	1	8	yes	complemented
149	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
150	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
151	#121×D₆₇	C₂²	1	4	yes	complemented
152	#121×D₆₇	C₂²	1	4	yes	complemented
153	#120×D₆₇	C₂²	1	8	yes	complemented
154	#16863878	C₂²	1	4	yes	complemented
155	#16863877	C₂²	1	2	yes	complemented
156	#16863877	C₂²	1	4	yes	complemented
157	#16863870	C₂²	1	2	yes	—
158	#16863870	C₂²	1	4	yes	complemented
159	#16863868	C₂²	1	8	yes	complemented
160	#16863868	C₂²	1	4	yes	complemented
161	#41×Dic₆₇	C₂²	1	2	yes	complemented
162	C₄×#11761629	C₂²	1	2	yes	complemented
163	C₄×#11761629	C₂²	1	2	yes	complemented
164	C₄×#11761629	C₂²	1	4	yes	complemented
165	#16863864	C₂²	1	2	yes	complemented
166	#16863864	C₂²	1	4	yes	complemented
167	C₄×#11761627	C₂²	1	2	yes	complemented
168	C₄×#11761627	C₂²	1	2	yes	complemented
169	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
170	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
171	C₂×#14524005	C₂²	1	1	yes	characteristic
172	C₂×#14524005	C₂²	1	4	yes	complemented
173	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
174	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
175	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
176	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
177	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
178	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
179	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
180	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
181	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
182	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
183	C₄×D₄×D₆₇	C₂²	1	8	yes	complemented
184	C₄×D₄×D₆₇	C₂²	1	8	yes	complemented
185	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
186	#117×D₆₇	C₂²	1	4	yes	complemented
187	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
189	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
190	#559×C₆₇	C₂²	1	4	yes	complemented
191	#556×C₆₇	C₂²	1	2	yes	complemented
192	#555×C₆₇	C₂²	1	2	yes	complemented
193	#553×C₆₇	C₂²	1	4	yes	complemented
194	#550×C₆₇	C₂²	1	2	yes	complemented
195	#547×C₆₇	C₂²	1	2	yes	complemented
196	#538×C₆₇	C₂²	1	4	yes	complemented
197	#535×C₆₇	C₂²	1	2	yes	complemented
198	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
200	#525×C₆₇	C₂²	1	4	yes	complemented
201	#520×C₆₇	C₂²	1	2	yes	complemented
202	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₆₇	C₂³	1	2	yes	—
204	#14524089	—	2	16	no	—
205	C₂×#11761629	C₂³	1	4	yes	—
206	C₂×#11761629	C₂³	1	2	yes	—
207	C₂×#11761629	C₂³	1	2	yes	—
208	C₂×#11761628	C₂³	1	4	yes	—
209	C₂×#11761628	C₂³	1	2	yes	—
210	C₂×#11761628	C₂³	1	8	yes	—
211	C₂×#11761628	C₂³	1	4	yes	complemented
212	C₂×#11761627	C₂³	1	2	yes	—
213	C₂×#11761627	C₂³	1	2	yes	—
214	C₂×#11761627	C₂³	1	8	yes	complemented
215	#41×D₆₇	—	4	16	no	—
216	C₂×Q₈×D₆₇	C₂³	1	4	yes	complemented
217	C₂²×D₂₆₈	C₂³	1	4	yes	—
218	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
219	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
220	C₂×D₄×D₆₇	—	2	8	no	—
221	C₂×D₄×D₆₇	C₂³	1	2	yes	—
222	C₂×D₄×D₆₇	C₂³	1	2	yes	—
223	C₂×D₄×D₆₇	C₂³	1	4	yes	—
224	C₂×D₄×D₆₇	C₂³	1	2	yes	—
225	C₂×D₄×D₆₇	C₂³	1	2	yes	—
226	C₂×D₄×D₆₇	C₂³	1	8	yes	—
227	C₂×D₄×D₆₇	C₂³	1	8	yes	—
228	C₂×D₄×D₆₇	C₂³	1	8	yes	—
229	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
230	C₂³×Dic₆₇	C₂³	1	2	yes	—
231	C₂²×C₄×D₆₇	—	4	8	no	—
232	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
235	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
237	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
238	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
239	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
240	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
241	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
242	C₂²×C₄×D₆₇	C₂³	1	8	yes	complemented
243	#14524043	C₂³	1	4	yes	complemented
244	#14524043	C₂³	1	1	yes	characteristic, complemented
245	#14524043	C₂³	1	1	yes	characteristic, complemented
246	#14524043	C₂³	1	1	yes	characteristic, complemented
247	#14524042	C₂³	1	4	yes	complemented
248	#14524040	C₂³	1	1	yes	characteristic, complemented
249	#14524039	C₂³	1	4	yes	—
250	#14524038	C₂³	1	4	yes	complemented
251	#14524038	C₂³	1	4	yes	complemented
252	#14524037	C₂³	1	8	yes	complemented
253	#14524036	C₂³	1	8	yes	complemented
254	#14524036	C₂³	1	8	yes	complemented
255	#14524036	C₂³	1	4	yes	complemented
256	#14524036	C₂³	1	8	yes	complemented
257	#14524036	C₂³	1	8	yes	complemented
258	#14524036	C₂³	1	4	yes	complemented
259	#14524035	C₂³	1	4	yes	complemented
260	#14524035	C₂³	1	8	yes	complemented
261	#14524035	C₂³	1	2	yes	complemented
262	#14524034	C₂³	1	4	yes	complemented
263	#14524034	C₂³	1	2	yes	complemented
264	#14524034	C₂³	1	2	yes	complemented
265	#14524034	C₂³	1	2	yes	complemented
266	#14524034	C₂³	1	2	yes	complemented
267	#14524033	C₂³	1	8	yes	complemented
268	#14524032	C₂³	1	2	yes	complemented
269	#14524032	C₂³	1	2	yes	complemented
270	#14524031	C₂³	1	2	yes	complemented
271	#14524030	C₂³	1	4	yes	—
272	#14524030	C₂³	1	8	yes	complemented
273	#14524030	C₂³	1	2	yes	complemented
274	#14524030	C₂³	1	2	yes	complemented
275	#14524029	C₂³	1	8	yes	complemented
276	#14524029	C₂³	1	8	yes	complemented
277	#14524028	C₂³	1	4	yes	—
278	#14524028	C₂³	1	8	yes	—
279	#14524028	C₂³	1	4	yes	—
280	#14524028	C₂³	1	8	yes	complemented
281	#14524027	C₂³	1	4	yes	—
282	#14524027	C₂³	1	8	yes	complemented
283	#14524026	C₂³	1	8	yes	complemented
284	#14524026	C₂³	1	8	yes	complemented
285	#14524025	C₂³	1	4	yes	—
286	#14524025	C₂³	1	8	yes	—
287	#14524025	C₂³	1	8	yes	—
288	#14524025	C₂³	1	8	yes	—
289	#14524025	C₂³	1	4	yes	—
290	#14524025	C₂³	1	8	yes	complemented
291	#14524025	C₂³	1	8	yes	complemented
292	#14524025	C₂³	1	8	yes	complemented
293	#14524025	C₂³	1	8	yes	complemented
294	#14524024	C₂³	1	4	yes	—
295	#14524024	C₂³	1	8	yes	complemented
296	#14524024	C₂³	1	8	yes	complemented
297	#14524023	C₂³	1	2	yes	—
298	#14524023	C₂³	1	2	yes	—
299	#14524023	C₂³	1	2	yes	—
300	#14524023	C₂³	1	2	yes	—
301	#14524023	C₂³	1	8	yes	complemented
302	#14524023	C₂³	1	4	yes	complemented
303	#14524022	C₂³	1	2	yes	—
304	#14524022	C₂³	1	2	yes	—
305	#14524022	C₂³	1	4	yes	complemented
306	#14524022	C₂³	1	8	yes	complemented
307	#14524022	C₂³	1	4	yes	complemented
308	#14524021	C₂³	1	8	yes	—
309	#14524021	C₂³	1	8	yes	complemented
310	#14524021	C₂³	1	8	yes	complemented
311	#14524021	C₂³	1	8	yes	complemented
312	#14524021	C₂³	1	8	yes	complemented
313	#14524020	C₂³	1	8	yes	—
314	#14524020	C₂³	1	8	yes	complemented
315	#14524019	C₂³	1	2	yes	—
316	#14524019	C₂³	1	2	yes	—
317	#14524019	C₂³	1	2	yes	—
318	#14524019	C₂³	1	2	yes	—
319	#14524019	C₂³	1	4	yes	complemented
320	#14524019	C₂³	1	8	yes	complemented
321	#14524019	C₂³	1	4	yes	complemented
322	#14524018	C₂³	1	2	yes	—
323	#14524018	C₂³	1	2	yes	—
324	#14524018	C₂³	1	2	yes	—
325	#14524018	C₂³	1	2	yes	—
326	#14524018	C₂³	1	4	yes	complemented
327	#14524017	C₂³	1	2	yes	—
328	#14524017	C₂³	1	2	yes	—
329	#14524017	C₂³	1	4	yes	complemented
330	#14524017	C₂³	1	4	yes	complemented
331	#14524016	C₂³	1	8	yes	—
332	#14524016	C₂³	1	8	yes	—
333	#14524016	C₂³	1	8	yes	—
334	#14524016	C₂³	1	8	yes	complemented
335	#14524016	C₂³	1	8	yes	complemented
336	#14524015	C₂³	1	8	yes	—
337	#14524015	C₂³	1	8	yes	complemented
338	#14524015	C₂³	1	8	yes	complemented
339	#14524014	C₂³	1	4	yes	—
340	#14524014	C₂³	1	4	yes	—
341	#14524014	C₂³	1	2	yes	—
342	#14524014	C₂³	1	2	yes	—
343	#14524014	C₂³	1	8	yes	—
344	#14524014	C₂³	1	8	yes	—
345	#14524014	C₂³	1	2	yes	—
346	#14524014	C₂³	1	2	yes	—
347	#14524014	C₂³	1	4	yes	complemented
348	#14524014	C₂³	1	4	yes	complemented
349	#14524014	C₂³	1	8	yes	complemented
350	#14524013	C₂³	1	8	yes	—
351	#14524013	C₂³	1	8	yes	—
352	#14524013	C₂³	1	4	yes	—
353	#14524013	C₂³	1	8	yes	complemented
354	#14524012	C₂³	1	8	yes	—
355	#14524011	C₂³	1	8	yes	—
356	#14524011	C₂³	1	8	yes	—
357	#14524011	C₂³	1	8	yes	—
358	#14524011	C₂³	1	8	yes	—
359	#14524011	C₂³	1	4	yes	—
360	#14524011	C₂³	1	8	yes	complemented
361	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
362	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
363	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
364	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
365	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
366	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
367	#14524008	C₂³	1	2	yes	complemented
368	#14524008	C₂³	1	2	yes	complemented
369	#14524008	C₂³	1	4	yes	complemented
370	#14524008	C₂³	1	2	yes	complemented
371	#14524008	C₂³	1	2	yes	complemented
372	C₄×D₂₆₈	C₂³	1	4	yes	—
373	C₄×D₂₆₈	C₂³	1	4	yes	—
374	C₄×D₂₆₈	C₂³	1	4	yes	—
375	C₄×D₂₆₈	C₂³	1	4	yes	—
376	C₄×D₂₆₈	C₂³	1	2	yes	—
377	C₄×D₂₆₈	C₂³	1	2	yes	—
378	C₄×D₂₆₈	C₂³	1	2	yes	—
379	C₄×D₂₆₈	C₂³	1	8	yes	—
380	C₄×D₂₆₈	C₂³	1	2	yes	—
381	C₄×D₂₆₈	C₂³	1	2	yes	complemented
382	C₄×D₂₆₈	C₂³	1	2	yes	complemented
383	C₄×D₂₆₈	C₂³	1	8	yes	complemented
384	C₄×D₂₆₈	C₂³	1	8	yes	complemented
385	D₄×Dic₆₇	C₂³	1	2	yes	—
386	D₄×Dic₆₇	C₂³	1	2	yes	—
387	D₄×Dic₆₇	C₂³	1	2	yes	—
388	D₄×Dic₆₇	C₂³	1	2	yes	—
389	D₄×Dic₆₇	C₂³	1	4	yes	—
390	D₄×Dic₆₇	C₂³	1	4	yes	—
391	D₄×Dic₆₇	C₂³	1	2	yes	complemented
392	D₄×Dic₆₇	C₂³	1	2	yes	complemented
393	D₄×Dic₆₇	C₂³	1	2	yes	complemented
394	D₄×Dic₆₇	C₂³	1	8	yes	complemented
395	D₄×Dic₆₇	C₂³	1	2	yes	complemented
396	#14524005	C₂³	1	4	yes	—
397	#14524005	C₂³	1	4	yes	—
398	#14524005	C₂³	1	4	yes	—
399	#14524005	C₂³	1	2	yes	—
400	#14524005	C₂³	1	2	yes	—
401	#14524005	C₂³	1	2	yes	—
402	#14524005	C₂³	1	2	yes	—
403	#14524005	C₂³	1	4	yes	—
404	#14524005	C₂³	1	8	yes	complemented
405	#14524005	C₂³	1	2	yes	complemented
406	#14524005	C₂³	1	4	yes	complemented
407	#14524005	C₂³	1	8	yes	complemented
408	#14524005	C₂³	1	2	yes	complemented
409	#14524005	C₂³	1	2	yes	complemented
410	#14524005	C₂³	1	2	yes	complemented
411	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
412	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
413	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
414	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
415	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
416	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
417	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
418	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
419	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
420	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
421	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
422	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
423	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
424	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
425	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
426	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
427	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
428	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
429	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
430	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
431	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
432	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
433	#14524002	C₂³	1	2	yes	—
434	#14524002	C₂³	1	4	yes	complemented
435	#14524002	C₂³	1	4	yes	complemented
436	#14524001	C₂³	1	2	yes	—
437	#14524001	C₂³	1	2	yes	—
438	#14524001	C₂³	1	2	yes	—
439	#14524001	C₂³	1	2	yes	—
440	#14524001	C₂³	1	8	yes	complemented
441	#14524001	C₂³	1	4	yes	complemented
442	#14524001	C₂³	1	4	yes	complemented
443	#14524001	C₂³	1	4	yes	complemented
444	#14524000	C₂³	1	8	yes	—
445	#14524000	C₂³	1	4	yes	complemented
446	#14524000	C₂³	1	8	yes	complemented
447	#14523999	C₂³	1	4	yes	complemented
448	#14523999	C₂³	1	8	yes	complemented
449	#14523999	C₂³	1	4	yes	complemented
450	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
451	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
452	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
453	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
454	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
455	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
456	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
457	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
458	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
459	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
460	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
461	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
462	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
463	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
464	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	complemented
465	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
466	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
467	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
468	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
469	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
470	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
471	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
472	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
473	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
474	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
475	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
479	C₄²×D₆₇	C₂³	1	1	yes	characteristic
480	C₄²×D₆₇	C₂³	1	1	yes	characteristic
481	C₄²×D₆₇	C₂³	1	1	yes	characteristic
482	C₄²×D₆₇	C₂³	1	1	yes	characteristic
483	C₄²×D₆₇	C₂³	1	1	yes	characteristic
484	C₄²×D₆₇	C₂³	1	1	yes	characteristic
485	C₄²×D₆₇	C₂³	1	1	yes	characteristic
486	C₄²×D₆₇	C₂³	1	1	yes	characteristic
487	C₄²×D₆₇	C₂³	1	8	yes	complemented
488	C₄²×D₆₇	C₂³	1	4	yes	complemented
489	C₂×#41×C₆₇	C₂³	1	2	yes	—
490	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
491	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
492	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
493	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
494	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
495	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
496	#127×C₆₇	C₂³	1	4	yes	—
497	#127×C₆₇	C₂³	1	1	yes	characteristic, complemented
498	#126×C₆₇	C₂³	1	8	yes	complemented
499	#125×C₆₇	C₂³	1	2	yes	complemented
500	#124×C₆₇	C₂³	1	4	yes	—
501	#124×C₆₇	C₂³	1	2	yes	complemented
502	#124×C₆₇	C₂³	1	8	yes	complemented
503	#123×C₆₇	C₂³	1	8	yes	complemented
504	#123×C₆₇	C₂³	1	8	yes	complemented
505	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
506	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
507	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
508	#121×C₆₇	C₂³	1	4	yes	—
509	#121×C₆₇	C₂³	1	4	yes	—
510	#121×C₆₇	C₂³	1	2	yes	—
511	#121×C₆₇	C₂³	1	2	yes	—
512	#121×C₆₇	C₂³	1	8	yes	complemented
513	#121×C₆₇	C₂³	1	4	yes	complemented
514	#120×C₆₇	C₂³	1	8	yes	—
515	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
516	C₄×Q₈×C₆₇	C₂³	1	4	yes	complemented
517	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
518	C₄×D₄×C₆₇	C₂³	1	2	yes	—
519	C₄×D₄×C₆₇	C₂³	1	2	yes	—
520	C₄×D₄×C₆₇	C₂³	1	2	yes	—
521	C₄×D₄×C₆₇	C₂³	1	2	yes	—
522	C₄×D₄×C₆₇	C₂³	1	8	yes	—
523	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
524	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
525	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
526	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
527	#117×C₆₇	C₂³	1	2	yes	—
528	#117×C₆₇	C₂³	1	4	yes	complemented
529	#117×C₆₇	C₂³	1	4	yes	complemented
530	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
531	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	complemented
532	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
533	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
534	C₂³×D₆₇	—	2	8	no	—
535	C₂³×D₆₇	—	4	4	no	—
536	C₂³×D₆₇	—	4	4	no	—
537	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
538	C₂³×D₆₇	C₂⁴	1	4	yes	—
539	C₂³×D₆₇	C₂⁴	1	4	yes	—
540	C₂³×D₆₇	C₂⁴	1	8	yes	—
541	C₂³×D₆₇	C₂⁴	1	2	yes	—
542	#11761629	—	2	16	no	—
543	#11761629	—	2	8	no	—
544	#11761629	—	4	4	no	—
545	#11761628	—	2	8	no	—
546	#11761628	—	2	16	no	—
547	#11761628	—	4	8	no	—
548	#11761628	—	4	16	no	—
549	#11761627	—	2	8	no	—
550	#11761627	—	4	16	no	—
551	#11761627	—	4	4	no	—
552	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
553	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
554	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
555	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
556	Q₈×D₆₇	—	4	8	no	—
557	C₂×D₂₆₈	—	2	16	no	—
558	C₂×D₂₆₈	#41	1	8	yes	complemented
559	C₂×D₂₆₈	C₂⁴	1	4	yes	—
560	C₂×D₂₆₈	C₂⁴	1	4	yes	—
561	C₂×D₂₆₈	C₂⁴	1	2	yes	—
562	C₂×D₂₆₈	C₂⁴	1	8	yes	—
563	C₂×D₂₆₈	C₂⁴	1	2	yes	—
564	C₂×D₂₆₈	C₂⁴	1	2	yes	—
565	C₂×D₂₆₈	C₂⁴	1	2	yes	—
566	C₂×D₂₆₈	C₂⁴	1	2	yes	—
567	C₂×C₂²⋊D₆₇	—	2	8	no	—
568	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
569	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
570	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
572	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
573	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
574	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
575	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
576	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
577	D₄×D₆₇	—	2	32	no	—
578	D₄×D₆₇	—	2	8	no	—
579	D₄×D₆₇	—	2	8	no	—
580	D₄×D₆₇	—	2	8	no	—
581	D₄×D₆₇	—	2	8	no	—
582	D₄×D₆₇	—	2	16	no	—
583	D₄×D₆₇	—	4	8	no	—
584	D₄×D₆₇	—	4	16	no	—
585	D₄×D₆₇	—	4	16	no	—
586	C₂²×Dic₆₇	—	4	4	no	—
587	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
590	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
591	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
593	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
594	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
595	C₂×C₄×D₆₇	—	2	4	no	—
596	C₂×C₄×D₆₇	—	2	4	no	—
597	C₂×C₄×D₆₇	—	2	16	no	—
598	C₂×C₄×D₆₇	—	4	4	no	—
599	C₂×C₄×D₆₇	—	4	8	no	—
600	C₂×C₄×D₆₇	—	4	16	no	—
601	C₂×C₄×D₆₇	—	4	8	no	—
602	C₂×C₄×D₆₇	—	4	4	no	—
603	C₂×C₄×D₆₇	—	4	8	no	—
604	C₂×C₄×D₆₇	—	4	4	no	—
605	C₂×C₄×D₆₇	—	4	2	no	—
606	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
616	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
617	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
618	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
619	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
620	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
621	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
624	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
625	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
626	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
627	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
628	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
629	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
630	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
632	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
633	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
634	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
635	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
636	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
637	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
638	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
639	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
640	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
641	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
642	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
643	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
644	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
645	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
646	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
647	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
648	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
649	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
650	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
651	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
652	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
653	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
654	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
655	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
656	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
657	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
658	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
659	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
660	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
661	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
662	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
663	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
664	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
665	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
666	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
667	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
668	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
669	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
670	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
671	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
672	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
673	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
674	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
675	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
676	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
677	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
678	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
679	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
680	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
681	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
682	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
683	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
684	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₆₇	C₂⁴	1	4	yes	—
697	C₄×Dic₆₇	C₂⁴	1	4	yes	—
698	C₄×Dic₆₇	C₂⁴	1	8	yes	—
699	C₄×Dic₆₇	C₂⁴	1	4	yes	—
700	C₄×Dic₆₇	C₂⁴	1	4	yes	—
701	C₄×Dic₆₇	C₂⁴	1	4	yes	—
702	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
703	#41×C₆₇	—	2	8	no	—
704	#41×C₆₇	—	4	8	no	—
705	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
706	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
707	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
708	C₂×D₄×C₆₇	—	2	4	no	—
709	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
710	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
711	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
712	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
713	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
714	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
715	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
716	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
717	C₂²×C₄×C₆₇	—	4	4	no	—
718	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
719	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
720	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
721	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
722	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
723	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
724	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
725	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
726	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
727	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
728	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
729	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
730	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
731	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
732	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
733	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
734	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
735	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
737	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
738	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
739	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
740	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
741	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
742	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
743	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
744	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
745	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
746	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
747	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
748	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
749	C₄²×C₆₇	C₂⁴	1	4	yes	—
750	C₄²×C₆₇	C₂⁴	1	8	yes	—
751	C₂³×C₆₇	—	2	4	no	—
752	C₂³×C₆₇	—	4	2	no	—
753	C₂³×C₆₇	—	4	2	no	—
754	C₂³×C₆₇	C₂⁵	1	4	yes	—
755	C₂³×C₆₇	C₂⁵	1	4	yes	—
756	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
757	C₂²×D₆₇	—	2	2	no	—
758	C₂²×D₆₇	—	2	2	no	—
759	C₂²×D₆₇	—	2	2	no	—
760	C₂²×D₆₇	—	2	8	no	—
761	C₂²×D₆₇	—	2	8	no	—
762	C₂²×D₆₇	—	2	8	no	—
763	C₂²×D₆₇	—	2	8	no	—
764	C₂²×D₆₇	—	2	16	no	—
765	C₂²×D₆₇	—	4	2	no	—
766	C₂²×D₆₇	—	4	4	no	—
767	C₂²×D₆₇	—	4	2	no	—
768	C₂²×D₆₇	—	4	4	no	—
769	C₂²×D₆₇	—	4	8	no	—
770	C₂²×D₆₇	—	4	8	no	—
771	C₂²×D₆₇	—	4	32	no	—
772	C₂²×D₆₇	C₂×#41	1	8	yes	complemented
773	C₂²×D₆₇	C₂⁵	1	4	yes	—
774	C₂²×D₆₇	C₂⁵	1	4	yes	—
775	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
776	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
777	Q₈×C₆₇	—	2	4	no	—
778	Q₈×C₆₇	—	2	4	no	—
779	Q₈×C₆₇	—	4	2	no	—
780	D₄×C₆₇	—	2	8	no	—
781	D₄×C₆₇	—	2	4	no	—
782	D₄×C₆₇	—	2	4	no	—
783	D₄×C₆₇	—	2	4	no	—
784	D₄×C₆₇	—	2	4	no	—
785	D₄×C₆₇	—	4	8	no	—
786	D₄×C₆₇	—	4	8	no	—
787	D₄×C₆₇	—	4	2	no	—
788	C₂×C₄×C₆₇	—	2	8	no	—
789	C₂×C₄×C₆₇	—	2	2	no	—
790	C₂×C₄×C₆₇	—	2	8	no	—
791	C₂×C₄×C₆₇	—	4	2	no	—
792	C₂×C₄×C₆₇	—	4	4	no	—
793	C₂×C₄×C₆₇	—	4	8	no	—
794	C₂×C₄×C₆₇	—	4	1	no	—
795	C₂×C₄×C₆₇	C₂×#41	1	4	yes	complemented
796	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
797	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
799	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
800	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
801	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
802	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
803	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
804	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
805	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
806	C₂²⋊D₆₇	—	2	8	no	—
807	C₂²⋊D₆₇	—	2	8	no	—
808	C₂²⋊D₆₇	—	2	8	no	—
809	C₂²⋊D₆₇	—	2	16	no	—
810	C₂²⋊D₆₇	—	2	8	no	—
811	C₂²⋊D₆₇	—	2	8	no	—
812	C₂²⋊D₆₇	—	4	8	no	—
813	C₂²⋊D₆₇	—	4	8	no	—
814	C₂²⋊D₆₇	—	4	8	no	—
815	C₂×Dic₆₇	—	2	2	no	—
816	C₂×Dic₆₇	—	2	2	no	—
817	C₂×Dic₆₇	—	2	8	no	—
818	C₂×Dic₆₇	—	2	8	no	—
819	C₂×Dic₆₇	—	4	2	no	—
820	C₂×Dic₆₇	—	4	4	no	—
821	C₂×Dic₆₇	—	4	1	no	—
822	C₂×Dic₆₇	—	4	4	no	—
823	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
824	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
825	C₂×Dic₆₇	C₂⁵	1	4	yes	—
826	C₂×Dic₆₇	C₂⁵	1	4	yes	—
827	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
828	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
829	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
830	C₂×Dic₆₇	C₂⁵	1	4	yes	—
831	C₂×Dic₆₇	C₂⁵	1	4	yes	—
832	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
833	D₂₆₈	—	2	16	no	—
834	D₂₆₈	—	2	8	no	—
835	D₂₆₈	—	2	8	no	—
836	D₂₆₈	—	2	4	no	—
837	D₂₆₈	—	2	4	no	—
838	D₂₆₈	—	4	2	no	—
839	D₂₆₈	C₂×#41	1	8	yes	complemented
840	D₂₆₈	C₂×#41	1	8	yes	complemented
841	C₄×D₆₇	—	2	16	no	—
842	C₄×D₆₇	—	2	2	no	—
843	C₄×D₆₇	—	2	8	no	—
844	C₄×D₆₇	—	2	2	no	—
845	C₄×D₆₇	—	2	2	no	—
846	C₄×D₆₇	—	2	2	no	—
847	C₄×D₆₇	—	2	2	no	—
848	C₄×D₆₇	—	2	2	no	—
849	C₄×D₆₇	—	2	2	no	—
850	C₄×D₆₇	—	2	8	no	—
851	C₄×D₆₇	—	2	2	no	—
852	C₄×D₆₇	—	2	8	no	—
853	C₄×D₆₇	—	2	2	no	—
854	C₄×D₆₇	—	2	8	no	—
855	C₄×D₆₇	—	2	8	no	—
856	C₄×D₆₇	—	4	4	no	—
857	C₄×D₆₇	—	4	4	no	—
858	C₄×D₆₇	—	4	4	no	—
859	C₄×D₆₇	—	4	1	no	—
860	C₄×D₆₇	—	4	1	no	—
861	C₄×D₆₇	—	4	8	no	—
862	C₄×D₆₇	—	4	8	no	—
863	C₄×D₆₇	—	4	8	no	—
864	C₄×D₆₇	—	4	4	no	—
865	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	complemented
866	Dic₁₃₄	—	2	4	no	—
867	Dic₁₃₄	—	2	4	no	—
868	Dic₁₃₄	—	4	8	no	—
869	Dic₁₃₄	—	4	2	no	—
870	C₂²×C₆₇	—	2	1	no	—
871	C₂²×C₆₇	—	2	1	no	—
872	C₂²×C₆₇	—	2	4	no	—
873	C₂²×C₆₇	—	2	4	no	—
874	C₂²×C₆₇	—	2	4	no	—
875	C₂²×C₆₇	—	2	4	no	—
876	C₂²×C₆₇	—	2	4	no	—
877	C₂²×C₆₇	—	2	4	no	—
878	C₂²×C₆₇	—	4	8	no	—
879	C₂²×C₆₇	C₂²×#41	1	2	yes	—
880	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
881	C₂×D₆₇	—	2	8	no	—
882	C₂×D₆₇	—	2	1	no	—
883	C₂×D₆₇	—	2	1	no	—
884	C₂×D₆₇	—	2	1	no	—
885	C₂×D₆₇	—	2	4	no	—
886	C₂×D₆₇	—	2	1	no	—
887	C₂×D₆₇	—	2	4	no	—
888	C₂×D₆₇	—	2	4	no	—
889	C₂×D₆₇	—	2	4	no	—
890	C₂×D₆₇	—	2	4	no	—
891	C₂×D₆₇	—	4	8	no	—
892	C₂×D₆₇	—	4	16	no	—
893	C₂×D₆₇	—	4	16	no	—
894	C₂×D₆₇	—	8	16	no	—
895	C₂×D₆₇	C₂²×#41	1	8	yes	—
896	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
897	C₂×D₆₇	#585	1	2	yes	—
898	C₄×C₆₇	—	2	4	no	—
899	C₄×C₆₇	—	2	4	no	—
900	C₄×C₆₇	—	2	1	no	—
901	C₄×C₆₇	—	2	4	no	—
902	C₄×C₆₇	—	2	1	no	—
903	C₄×C₆₇	—	2	1	no	—
904	C₄×C₆₇	—	2	4	no	—
905	C₄×C₆₇	C₂²×#41	1	2	yes	—
906	C₄×C₆₇	C₂²×#41	1	2	yes	—
907	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
908	Dic₆₇	—	2	4	no	—
909	Dic₆₇	—	2	1	no	—
910	Dic₆₇	—	2	1	no	—
911	Dic₆₇	—	2	4	no	—
912	Dic₆₇	—	2	4	no	—
913	Dic₆₇	—	2	1	no	—
914	Dic₆₇	—	2	4	no	—
915	Dic₆₇	—	2	1	no	—
916	Dic₆₇	—	2	1	no	—
917	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
918	#62773	—	67	1	no	maximal, Sylow
919	C₂×C₆₇	—	2	2	no	—
920	C₂×C₆₇	—	4	4	no	—
921	C₂×C₆₇	—	4	4	no	—
922	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
923	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
924	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
925	D₆₇	—	2	2	no	—
926	D₆₇	—	2	2	no	—
927	D₆₇	—	2	8	no	—
928	D₆₇	—	4	4	no	—
929	#3520	—	67	2	no	—
930	#3520	—	67	2	no	—
931	#3519	—	67	2	no	—
932	#3519	—	67	2	no	—
933	#3513	—	67	4	no	—
934	#3513	—	67	4	no	—
935	#3506	—	67	1	no	—
936	#3506	D₆₇	1	1	yes	characteristic, complemented
937	#3505	—	67	4	no	—
938	#3501	—	67	1	no	—
939	#3496	—	67	1	no	—
940	#3492	—	67	2	no	—
941	#3490	—	67	4	no	—
942	#3484	—	67	2	no	—
943	#3481	—	67	4	no	—
944	#3481	—	67	4	no	—
945	#3475	—	67	2	no	—
946	#3475	—	67	2	no	—
947	D₄×#41	—	67	2	no	—
948	D₄×#41	—	67	2	no	—
949	#3460	—	67	2	no	—
950	#3459	—	67	4	no	—
951	#3444	—	67	1	no	—
952	#3444	—	67	1	no	—
953	C₂×#525	—	67	4	no	—
954	C₄×H(5,𝔽₂)	—	67	2	no	—
955	C₂²×C₄×D₄	—	67	1	no	—
956	C₆₇	#62773	1	1	yes	characteristic, complemented, Sylow
957	C₂×H(5,𝔽₂)	—	67	2	no	—
958	C₂²×#41	—	67	4	no	—
959	C₂³×D₄	—	67	1	no	—
960	C₂⁴×C₄	—	67	2	no	—
961	#559	—	67	4	no	—
962	#559	C₂×D₆₇	1	4	yes	complemented
963	#556	—	67	2	no	—
964	#556	C₂×D₆₇	1	2	yes	complemented
965	#555	—	67	2	no	—
966	#555	C₂×D₆₇	1	2	yes	complemented
967	#554	—	67	2	no	—
968	#554	—	67	4	no	—
969	#554	—	67	2	no	—
970	#554	—	67	4	no	—
971	#554	—	67	4	no	—
972	#554	—	67	4	no	—
973	#553	—	67	8	no	—
974	#553	—	67	4	no	—
975	#553	—	67	4	no	—
976	#553	—	67	4	no	—
977	#553	—	67	8	no	—
978	#553	—	67	4	no	—
979	#553	—	67	4	no	—
980	#553	C₂×D₆₇	1	4	yes	complemented
981	#552	—	67	4	no	—
982	#552	—	67	4	no	—
983	#552	—	67	4	no	—
984	#552	—	67	4	no	—
985	#551	—	67	8	no	—
986	#551	—	67	8	no	—
987	#551	—	67	8	no	—
988	#551	—	67	8	no	—
989	#551	—	67	8	no	—
990	#551	—	67	8	no	—
991	#550	—	67	2	no	—
992	#550	C₂×D₆₇	1	2	yes	complemented
993	D₄×Q₈	—	67	2	no	—
994	D₄×Q₈	—	67	2	no	—
995	#548	—	67	4	no	—
996	#548	—	67	4	no	—
997	#547	—	67	2	no	—
998	#547	—	67	2	no	—
999	#547	—	67	4	no	—
1000	#547	—	67	2	no	—
1001	#547	—	67	4	no	—
1002	#547	C₂×D₆₇	1	2	yes	complemented
1003	#546	—	67	4	no	—
1004	#546	—	67	4	no	—
1005	#546	—	67	4	no	—
1006	#546	—	67	8	no	—
1007	#546	—	67	4	no	—
1008	#546	—	67	8	no	—
1009	#546	—	67	4	no	—
1010	#546	—	67	4	no	—
1011	#546	—	67	8	no	—
1012	#546	—	67	8	no	—
1013	#546	—	67	4	no	—
1014	#546	—	67	4	no	—
1015	D₄²	—	67	4	no	—
1016	D₄²	—	67	4	no	—
1017	D₄²	—	67	2	no	—
1018	D₄²	—	67	4	no	—
1019	D₄²	—	67	4	no	—
1020	D₄²	—	67	2	no	—
1021	#544	—	67	2	no	—
1022	#543	—	67	4	no	—
1023	#542	—	67	4	no	—
1024	#542	—	67	4	no	—
1025	#540	—	67	4	no	—
1026	#540	—	67	4	no	—
1027	#539	—	67	8	no	—
1028	#539	—	67	8	no	—
1029	#539	—	67	8	no	—
1030	#538	—	67	8	no	—
1031	#538	—	67	8	no	—
1032	#538	—	67	8	no	—
1033	#538	—	67	4	no	—
1034	#538	C₂×D₆₇	1	4	yes	complemented
1035	#537	—	67	2	no	—
1036	#535	—	67	2	no	—
1037	#535	C₂×D₆₇	1	2	yes	complemented
1038	#534	—	67	4	no	—
1039	#534	—	67	8	no	—
1040	#533	—	67	1	no	—
1041	#533	—	67	1	no	—
1042	#533	—	67	1	no	—
1043	#533	—	67	1	no	—
1044	#533	—	67	1	no	—
1045	#533	C₂×D₆₇	1	1	yes	characteristic, complemented
1046	#532	—	67	1	no	—
1047	#532	—	67	1	no	—
1048	#532	—	67	4	no	—
1049	#532	—	67	1	no	—
1050	#532	—	67	1	no	—
1051	#532	—	67	4	no	—
1052	#532	—	67	1	no	—
1053	#532	C₂×D₆₇	1	1	yes	characteristic, complemented
1054	#529	—	67	8	no	—
1055	#529	—	67	2	no	—
1056	#529	—	67	2	no	—
1057	#529	—	67	4	no	—
1058	#529	—	67	2	no	—
1059	#529	—	67	2	no	—
1060	#529	—	67	8	no	—
1061	#529	—	67	2	no	—
1062	#529	—	67	2	no	—
1063	#529	—	67	2	no	—
1064	#529	—	67	2	no	—
1065	#529	—	67	4	no	—
1066	#529	—	67	2	no	—
1067	#529	—	67	2	no	—
1068	#529	—	67	2	no	—
1069	#529	—	67	2	no	—
1070	#525	—	67	2	no	—
1071	#525	—	67	4	no	—
1072	#525	—	67	4	no	—
1073	#525	—	67	8	no	—
1074	#525	—	67	8	no	—
1075	#525	—	67	2	no	—
1076	#525	—	67	2	no	—
1077	#525	—	67	4	no	—
1078	#525	—	67	2	no	—
1079	#525	—	67	2	no	—
1080	#525	—	67	4	no	—
1081	#525	—	67	8	no	—
1082	#525	—	67	8	no	—
1083	#525	—	67	8	no	—
1084	#525	—	67	8	no	—
1085	#525	—	67	2	no	—
1086	#525	—	67	4	no	—
1087	#525	C₂×D₆₇	1	4	yes	complemented
1088	C₂×#123	—	67	8	no	—
1089	C₂×C₂²⋊Q₈	—	67	4	no	—
1090	C₂×C₂²⋊Q₈	—	67	4	no	—
1091	C₂×#121	—	67	4	no	—
1092	C₂×#121	—	67	4	no	—
1093	C₂×#120	—	67	8	no	—
1094	#520	—	67	4	no	—
1095	#520	—	67	2	no	—
1096	#520	—	67	4	no	—
1097	#520	C₂×D₆₇	1	2	yes	complemented
1098	#518	—	67	8	no	—
1099	#518	—	67	4	no	—
1100	#518	—	67	2	no	—
1101	#518	—	67	4	no	—
1102	C₄×#41	—	67	2	no	—
1103	C₄×#41	—	67	4	no	—
1104	C₄×#41	—	67	2	no	—
1105	C₄×#41	—	67	2	no	—
1106	C₄×#41	—	67	2	no	—
1107	C₄×#41	—	67	2	no	—
1108	C₄×#41	—	67	2	no	—
1109	C₄×#41	—	67	4	no	—
1110	C₂×C₄×D₄	—	67	1	no	—
1111	C₂×C₄×D₄	—	67	2	no	—
1112	C₂×C₄×D₄	—	67	2	no	—
1113	C₂×C₄×D₄	—	67	2	no	—
1114	C₂×C₄×D₄	—	67	2	no	—
1115	C₂×C₄×D₄	—	67	2	no	—
1116	C₂×C₄×D₄	—	67	2	no	—
1117	C₂×C₄×D₄	—	67	2	no	—
1118	C₂×C₄×D₄	—	67	2	no	—
1119	C₂×C₄×D₄	—	67	2	no	—
1120	C₂×C₄×D₄	—	67	8	no	—
1121	C₂×C₄×D₄	—	67	4	no	—
1122	C₂×C₄×D₄	—	67	8	no	—
1123	C₂×C₄×D₄	—	67	1	no	—
1124	C₂×C₄×D₄	—	67	4	no	—
1125	C₂×C₄×D₄	—	67	2	no	—
1126	C₂×C₄×D₄	—	67	1	no	—
1127	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1128	C₂×#117	—	67	4	no	—
1129	C₂²×C₄⋊C₄	—	67	1	no	—
1130	C₂²×C₂²⋊C₄	—	67	2	no	—
1131	C₂²×C₄²	—	67	1	no	—
1132	C₂⁵	—	67	2	no	—
1133	H(5,𝔽₂)	—	134	16	no	—
1134	C₂×#41	—	268	16	no	—
1135	C₂×#41	—	67	2	no	—
1136	C₂×#41	—	67	4	no	—
1137	C₂×#41	—	67	2	no	—
1138	C₂×#41	—	67	2	no	—
1139	C₂×#41	—	67	8	no	—
1140	C₂×#41	—	67	2	no	—
1141	C₂×#41	—	67	8	no	—
1142	C₂×#41	—	67	4	no	—
1143	C₂×#41	—	67	2	no	—
1144	C₂×#41	—	67	4	no	—
1145	C₂×#41	C₂²×D₆₇	1	2	yes	—
1146	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1147	C₂²×Q₈	—	67	4	no	—
1148	C₂²×D₄	—	67	8	no	—
1149	C₂²×D₄	—	67	8	no	—
1150	C₂²×D₄	—	67	4	no	—
1151	C₂²×D₄	—	67	2	no	—
1152	C₂²×D₄	—	67	2	no	—
1153	C₂²×D₄	—	67	2	no	—
1154	C₂²×D₄	—	67	2	no	—
1155	C₂²×D₄	—	67	2	no	—
1156	C₂²×D₄	—	67	8	no	—
1157	C₂²×D₄	—	67	4	no	—
1158	C₂²×D₄	—	67	1	no	—
1159	C₂²×D₄	—	67	4	no	—
1160	C₂²×D₄	—	134	8	no	—
1161	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1162	C₂³×C₄	—	268	8	no	—
1163	C₂³×C₄	—	67	2	no	—
1164	C₂³×C₄	—	67	1	no	—
1165	C₂³×C₄	—	67	2	no	—
1166	C₂³×C₄	—	67	2	no	—
1167	C₂³×C₄	—	67	4	no	—
1168	C₂³×C₄	—	67	8	no	—
1169	C₂³×C₄	—	67	2	no	—
1170	C₂³×C₄	—	67	4	no	—
1171	C₂³×C₄	—	67	4	no	—
1172	C₂³×C₄	—	67	1	no	—
1173	C₂³×C₄	—	67	4	no	—
1174	C₂³×C₄	—	67	1	no	—
1175	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
1176	C₄⋊Q₈	—	67	4	no	—
1177	C₄⋊Q₈	—	67	1	no	—
1178	C₄⋊Q₈	—	67	1	no	—
1179	C₄⋊Q₈	—	67	1	no	—
1180	C₄⋊Q₈	—	67	4	no	—
1181	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1182	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1183	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1184	#127	—	67	4	no	—
1185	#127	—	67	1	no	—
1186	#127	C₂²×D₆₇	1	4	yes	—
1187	#127	C₂²×D₆₇	1	1	yes	characteristic, complemented
1188	#126	—	67	4	no	—
1189	#126	—	67	4	no	—
1190	#126	—	67	4	no	—
1191	#126	—	67	4	no	—
1192	#126	—	67	8	no	—
1193	#126	—	67	8	no	—
1194	#126	—	67	8	no	—
1195	#126	—	67	8	no	—
1196	#126	—	67	8	no	—
1197	#126	C₂²×D₆₇	1	8	yes	complemented
1198	#125	—	67	2	no	—
1199	#125	—	67	2	no	—
1200	#125	—	67	2	no	—
1201	#125	—	67	2	no	—
1202	#125	—	67	8	no	—
1203	#125	—	67	4	no	—
1204	#125	—	67	2	no	—
1205	#125	—	67	8	no	—
1206	#125	—	67	4	no	—
1207	#125	C₂²×D₆₇	1	2	yes	complemented
1208	#124	—	67	2	no	—
1209	#124	—	67	2	no	—
1210	#124	—	67	2	no	—
1211	#124	—	67	2	no	—
1212	#124	—	67	4	no	—
1213	#124	—	67	8	no	—
1214	#124	—	67	8	no	—
1215	#124	—	67	8	no	—
1216	#124	—	67	2	no	—
1217	#124	C₂²×D₆₇	1	4	yes	—
1218	#124	C₂²×D₆₇	1	2	yes	complemented
1219	#124	C₂²×D₆₇	1	8	yes	complemented
1220	#123	—	67	8	no	—
1221	#123	—	67	4	no	—
1222	#123	—	67	8	no	—
1223	#123	—	67	8	no	—
1224	#123	—	67	8	no	—
1225	#123	—	67	4	no	—
1226	#123	—	67	8	no	—
1227	#123	—	67	4	no	—
1228	#123	—	67	8	no	—
1229	#123	—	67	4	no	—
1230	#123	—	67	8	no	—
1231	#123	—	67	8	no	—
1232	#123	—	67	4	no	—
1233	#123	—	67	4	no	—
1234	#123	—	67	8	no	—
1235	#123	—	67	8	no	—
1236	#123	—	67	8	no	—
1237	#123	—	67	8	no	—
1238	#123	—	67	8	no	—
1239	#123	—	67	8	no	—
1240	#123	C₂²×D₆₇	1	8	yes	complemented
1241	#123	C₂²×D₆₇	1	8	yes	complemented
1242	C₂²⋊Q₈	—	67	2	no	—
1243	C₂²⋊Q₈	—	67	4	no	—
1244	C₂²⋊Q₈	—	67	2	no	—
1245	C₂²⋊Q₈	—	67	2	no	—
1246	C₂²⋊Q₈	—	67	2	no	—
1247	C₂²⋊Q₈	—	67	4	no	—
1248	C₂²⋊Q₈	—	67	8	no	—
1249	C₂²⋊Q₈	—	67	2	no	—
1250	C₂²⋊Q₈	—	67	4	no	—
1251	C₂²⋊Q₈	—	67	2	no	—
1252	C₂²⋊Q₈	—	67	8	no	—
1253	C₂²⋊Q₈	—	67	4	no	—
1254	C₂²⋊Q₈	—	67	2	no	—
1255	C₂²⋊Q₈	—	67	4	no	—
1256	C₂²⋊Q₈	—	67	8	no	—
1257	C₂²⋊Q₈	—	67	8	no	—
1258	C₂²⋊Q₈	—	67	2	no	—
1259	C₂²⋊Q₈	—	67	2	no	—
1260	C₂²⋊Q₈	—	67	2	no	—
1261	C₂²⋊Q₈	—	67	8	no	—
1262	C₂²⋊Q₈	—	67	8	no	—
1263	C₂²⋊Q₈	—	67	8	no	—
1264	C₂²⋊Q₈	—	67	8	no	—
1265	C₂²⋊Q₈	—	67	8	no	—
1266	C₂²⋊Q₈	—	67	8	no	—
1267	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1268	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1269	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1270	#121	—	67	2	no	—
1271	#121	—	67	8	no	—
1272	#121	—	67	8	no	—
1273	#121	—	67	4	no	—
1274	#121	—	67	2	no	—
1275	#121	—	67	2	no	—
1276	#121	—	67	2	no	—
1277	#121	—	67	8	no	—
1278	#121	—	67	8	no	—
1279	#121	—	67	4	no	—
1280	#121	—	67	4	no	—
1281	#121	—	67	4	no	—
1282	#121	—	67	8	no	—
1283	#121	—	67	8	no	—
1284	#121	—	67	2	no	—
1285	#121	—	67	4	no	—
1286	#121	—	67	2	no	—
1287	#121	—	67	4	no	—
1288	#121	—	67	2	no	—
1289	#121	—	67	4	no	—
1290	#121	—	67	2	no	—
1291	#121	—	67	2	no	—
1292	#121	—	67	2	no	—
1293	#121	—	67	8	no	—
1294	#121	—	67	8	no	—
1295	#121	—	67	8	no	—
1296	#121	—	67	8	no	—
1297	#121	—	67	8	no	—
1298	#121	C₂²×D₆₇	1	2	yes	—
1299	#121	C₂²×D₆₇	1	2	yes	—
1300	#121	C₂²×D₆₇	1	4	yes	—
1301	#121	C₂²×D₆₇	1	4	yes	—
1302	#121	C₂²×D₆₇	1	4	yes	complemented
1303	#121	C₂²×D₆₇	1	8	yes	complemented
1304	#120	—	67	8	no	—
1305	#120	—	67	4	no	—
1306	#120	—	67	8	no	—
1307	#120	—	67	8	no	—
1308	#120	—	67	8	no	—
1309	#120	—	67	8	no	—
1310	#120	—	67	8	no	—
1311	#120	—	67	4	no	—
1312	#120	—	67	8	no	—
1313	#120	—	67	8	no	—
1314	#120	—	67	8	no	—
1315	#120	C₂²×D₆₇	1	8	yes	—
1316	C₄×Q₈	—	67	2	no	—
1317	C₄×Q₈	—	67	2	no	—
1318	C₄×Q₈	—	67	2	no	—
1319	C₄×Q₈	—	67	2	no	—
1320	C₄×Q₈	—	67	2	no	—
1321	C₄×Q₈	—	67	2	no	—
1322	C₄×Q₈	—	67	4	no	—
1323	C₄×Q₈	—	67	2	no	—
1324	C₄×Q₈	—	67	2	no	—
1325	C₄×Q₈	—	67	2	no	—
1326	C₄×Q₈	—	67	2	no	—
1327	C₄×Q₈	C₂²×D₆₇	1	4	yes	complemented
1328	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1329	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1330	C₄×D₄	—	67	2	no	—
1331	C₄×D₄	—	67	2	no	—
1332	C₄×D₄	—	67	2	no	—
1333	C₄×D₄	—	67	2	no	—
1334	C₄×D₄	—	67	4	no	—
1335	C₄×D₄	—	67	2	no	—
1336	C₄×D₄	—	67	8	no	—
1337	C₄×D₄	—	67	4	no	—
1338	C₄×D₄	—	67	2	no	—
1339	C₄×D₄	—	67	2	no	—
1340	C₄×D₄	—	67	2	no	—
1341	C₄×D₄	—	67	4	no	—
1342	C₄×D₄	—	67	4	no	—
1343	C₄×D₄	—	67	4	no	—
1344	C₄×D₄	—	67	4	no	—
1345	C₄×D₄	—	67	8	no	—
1346	C₄×D₄	—	67	8	no	—
1347	C₄×D₄	—	67	8	no	—
1348	C₄×D₄	—	67	8	no	—
1349	C₄×D₄	—	67	8	no	—
1350	C₄×D₄	—	67	4	no	—
1351	C₄×D₄	—	67	4	no	—
1352	C₄×D₄	—	67	2	no	—
1353	C₄×D₄	—	67	2	no	—
1354	C₄×D₄	—	67	2	no	—
1355	C₄×D₄	—	67	2	no	—
1356	C₄×D₄	—	67	4	no	—
1357	C₄×D₄	—	67	8	no	—
1358	C₄×D₄	—	67	2	no	—
1359	C₄×D₄	—	67	4	no	—
1360	C₄×D₄	—	67	8	no	—
1361	C₄×D₄	—	67	4	no	—
1362	C₄×D₄	—	67	2	no	—
1363	C₄×D₄	—	67	4	no	—
1364	C₄×D₄	—	67	2	no	—
1365	C₄×D₄	—	67	4	no	—
1366	C₄×D₄	—	67	2	no	—
1367	C₄×D₄	—	67	4	no	—
1368	C₄×D₄	—	67	4	no	—
1369	C₄×D₄	—	67	4	no	—
1370	C₄×D₄	—	67	4	no	—
1371	C₄×D₄	—	67	4	no	—
1372	C₄×D₄	—	67	4	no	—
1373	C₄×D₄	—	67	8	no	—
1374	C₄×D₄	—	67	8	no	—
1375	C₄×D₄	—	67	4	no	—
1376	C₄×D₄	—	67	8	no	—
1377	C₄×D₄	—	67	4	no	—
1378	C₄×D₄	—	67	2	no	—
1379	C₄×D₄	—	67	2	no	—
1380	C₄×D₄	—	67	2	no	—
1381	C₄×D₄	—	67	2	no	—
1382	C₄×D₄	—	67	8	no	—
1383	C₄×D₄	—	67	4	no	—
1384	C₄×D₄	—	67	8	no	—
1385	C₄×D₄	—	67	4	no	—
1386	C₄×D₄	—	67	8	no	—
1387	C₄×D₄	—	67	4	no	—
1388	C₄×D₄	—	67	4	no	—
1389	C₄×D₄	—	67	2	no	—
1390	C₄×D₄	—	67	2	no	—
1391	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1392	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1393	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1394	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1395	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1396	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1397	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1398	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1399	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1400	#117	—	67	4	no	—
1401	#117	—	67	2	no	—
1402	#117	—	67	4	no	—
1403	#117	—	67	2	no	—
1404	#117	—	67	2	no	—
1405	#117	—	67	8	no	—
1406	#117	—	67	4	no	—
1407	#117	—	67	4	no	—
1408	#117	—	67	2	no	—
1409	#117	—	67	2	no	—
1410	#117	—	67	4	no	—
1411	#117	—	67	8	no	—
1412	#117	—	67	4	no	—
1413	#117	—	67	4	no	—
1414	#117	—	67	8	no	—
1415	#117	—	67	4	no	—
1416	#117	—	67	8	no	—
1417	#117	C₂²×D₆₇	1	2	yes	—
1418	#117	C₂²×D₆₇	1	4	yes	complemented
1419	#117	C₂²×D₆₇	1	4	yes	complemented
1420	C₂×C₄⋊C₄	—	67	1	no	—
1421	C₂×C₄⋊C₄	—	67	2	no	—
1422	C₂×C₄⋊C₄	—	67	2	no	—
1423	C₂×C₄⋊C₄	—	67	2	no	—
1424	C₂×C₄⋊C₄	—	67	2	no	—
1425	C₂×C₄⋊C₄	—	67	2	no	—
1426	C₂×C₄⋊C₄	—	67	4	no	—
1427	C₂×C₄⋊C₄	—	67	4	no	—
1428	C₂×C₄⋊C₄	—	67	8	no	—
1429	C₂×C₄⋊C₄	—	67	4	no	—
1430	C₂×C₄⋊C₄	—	67	8	no	—
1431	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1432	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1433	C₂×C₂²⋊C₄	—	67	2	no	—
1434	C₂×C₂²⋊C₄	—	67	2	no	—
1435	C₂×C₂²⋊C₄	—	67	2	no	—
1436	C₂×C₂²⋊C₄	—	67	8	no	—
1437	C₂×C₂²⋊C₄	—	67	4	no	—
1438	C₂×C₂²⋊C₄	—	67	4	no	—
1439	C₂×C₂²⋊C₄	—	67	4	no	—
1440	C₂×C₂²⋊C₄	—	67	4	no	—
1441	C₂×C₂²⋊C₄	—	67	8	no	—
1442	C₂×C₂²⋊C₄	—	67	8	no	—
1443	C₂×C₂²⋊C₄	—	67	8	no	—
1444	C₂×C₂²⋊C₄	—	67	8	no	—
1445	C₂×C₂²⋊C₄	—	67	8	no	—
1446	C₂×C₂²⋊C₄	—	67	8	no	—
1447	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1448	C₂×C₄²	—	67	1	no	—
1449	C₂×C₄²	—	67	1	no	—
1450	C₂×C₄²	—	67	1	no	—
1451	C₂×C₄²	—	67	4	no	—
1452	C₂×C₄²	—	67	8	no	—
1453	C₂×C₄²	—	67	1	no	—
1454	C₂×C₄²	—	67	1	no	—
1455	C₂×C₄²	—	67	1	no	—
1456	C₂×C₄²	—	67	1	no	—
1457	C₂×C₄²	—	67	1	no	—
1458	C₂×C₄²	—	67	1	no	—
1459	C₂×C₄²	—	67	1	no	—
1460	C₂×C₄²	—	67	1	no	—
1461	C₂×C₄²	—	67	4	no	—
1462	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1463	C₂⁴	—	268	4	no	—
1464	C₂⁴	—	268	4	no	—
1465	C₂⁴	—	67	2	no	—
1466	C₂⁴	—	67	8	no	—
1467	C₂⁴	—	67	4	no	—
1468	C₂⁴	—	67	4	no	—
1469	C₂⁴	—	67	1	no	—
1470	C₂⁴	—	134	8	no	—
1471	C₂⁴	C₂³×D₆₇	1	2	yes	—
1472	#41	—	2	8	no	—
1473	#41	—	4	8	no	—
1474	#41	—	268	8	no	—
1475	#41	—	268	16	no	—
1476	#41	—	268	4	no	—
1477	#41	—	268	4	no	—
1478	#41	—	268	16	no	—
1479	#41	—	134	16	no	—
1480	#41	—	134	8	no	—
1481	#41	—	134	8	no	—
1482	#41	—	134	16	no	—
1483	#41	—	134	8	no	—
1484	C₂×Q₈	—	268	8	no	—
1485	C₂×Q₈	—	67	2	no	—
1486	C₂×Q₈	—	67	8	no	—
1487	C₂×Q₈	—	67	2	no	—
1488	C₂×Q₈	—	67	2	no	—
1489	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1490	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1491	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1492	C₂×D₄	—	2	4	no	—
1493	C₂×D₄	—	268	16	no	—
1494	C₂×D₄	—	268	16	no	—
1495	C₂×D₄	—	268	8	no	—
1496	C₂×D₄	—	67	8	no	—
1497	C₂×D₄	—	67	8	no	—
1498	C₂×D₄	—	67	8	no	—
1499	C₂×D₄	—	67	4	no	—
1500	C₂×D₄	—	67	8	no	—
1501	C₂×D₄	—	67	4	no	—
1502	C₂×D₄	—	67	4	no	—
1503	C₂×D₄	—	67	4	no	—
1504	C₂×D₄	—	67	4	no	—
1505	C₂×D₄	—	67	8	no	—
1506	C₂×D₄	—	67	2	no	—
1507	C₂×D₄	—	67	2	no	—
1508	C₂×D₄	—	67	2	no	—
1509	C₂×D₄	—	67	8	no	—
1510	C₂×D₄	—	67	4	no	—
1511	C₂×D₄	—	67	2	no	—
1512	C₂×D₄	—	67	4	no	—
1513	C₂×D₄	—	67	2	no	—
1514	C₂×D₄	—	134	16	no	—
1515	C₂×D₄	—	134	8	no	—
1516	C₂×D₄	—	134	8	no	—
1517	C₂×D₄	—	134	8	no	—
1518	C₂×D₄	—	134	8	no	—
1519	C₂×D₄	—	134	16	no	—
1520	C₂×D₄	—	134	32	no	—
1521	C₂×D₄	—	134	8	no	—
1522	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1523	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1524	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1525	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1526	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1527	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1528	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1529	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1530	C₂²×C₄	—	4	4	no	—
1531	C₂²×C₄	—	268	4	no	—
1532	C₂²×C₄	—	268	8	no	—
1533	C₂²×C₄	—	268	8	no	—
1534	C₂²×C₄	—	268	4	no	—
1535	C₂²×C₄	—	268	2	no	—
1536	C₂²×C₄	—	268	4	no	—
1537	C₂²×C₄	—	268	8	no	—
1538	C₂²×C₄	—	268	16	no	—
1539	C₂²×C₄	—	268	4	no	—
1540	C₂²×C₄	—	67	1	no	—
1541	C₂²×C₄	—	67	4	no	—
1542	C₂²×C₄	—	67	2	no	—
1543	C₂²×C₄	—	67	4	no	—
1544	C₂²×C₄	—	67	1	no	—
1545	C₂²×C₄	—	67	1	no	—
1546	C₂²×C₄	—	67	8	no	—
1547	C₂²×C₄	—	67	4	no	—
1548	C₂²×C₄	—	67	4	no	—
1549	C₂²×C₄	—	67	4	no	—
1550	C₂²×C₄	—	67	4	no	—
1551	C₂²×C₄	—	67	8	no	—
1552	C₂²×C₄	—	67	8	no	—
1553	C₂²×C₄	—	67	1	no	—
1554	C₂²×C₄	—	67	1	no	—
1555	C₂²×C₄	—	67	1	no	—
1556	C₂²×C₄	—	67	4	no	—
1557	C₂²×C₄	—	67	4	no	—
1558	C₂²×C₄	—	67	1	no	—
1559	C₂²×C₄	—	67	1	no	—
1560	C₂²×C₄	—	67	1	no	—
1561	C₂²×C₄	—	67	1	no	—
1562	C₂²×C₄	—	67	1	no	—
1563	C₂²×C₄	—	67	1	no	—
1564	C₂²×C₄	—	67	4	no	—
1565	C₂²×C₄	—	67	1	no	—
1566	C₂²×C₄	—	67	1	no	—
1567	C₂²×C₄	—	67	1	no	—
1568	C₂²×C₄	—	67	8	no	—
1569	C₂²×C₄	—	67	4	no	—
1570	C₂²×C₄	—	67	4	no	—
1571	C₂²×C₄	—	67	4	no	—
1572	C₂²×C₄	—	67	4	no	—
1573	C₂²×C₄	—	134	4	no	—
1574	C₂²×C₄	—	134	16	no	—
1575	C₂²×C₄	—	134	4	no	—
1576	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1577	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1578	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1579	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1581	C₂²×C₄	C₂³×D₆₇	1	8	yes	—
1582	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1583	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1584	C₄⋊C₄	—	67	2	no	—
1585	C₄⋊C₄	—	67	2	no	—
1586	C₄⋊C₄	—	67	4	no	—
1587	C₄⋊C₄	—	67	4	no	—
1588	C₄⋊C₄	—	67	2	no	—
1589	C₄⋊C₄	—	67	2	no	—
1590	C₄⋊C₄	—	67	2	no	—
1591	C₄⋊C₄	—	67	4	no	—
1592	C₄⋊C₄	—	67	8	no	—
1593	C₄⋊C₄	—	67	4	no	—
1594	C₄⋊C₄	—	67	4	no	—
1595	C₄⋊C₄	—	67	8	no	—
1596	C₄⋊C₄	—	67	8	no	—
1597	C₄⋊C₄	—	67	8	no	—
1598	C₄⋊C₄	—	67	8	no	—
1599	C₄⋊C₄	—	67	2	no	—
1600	C₄⋊C₄	—	67	4	no	—
1601	C₄⋊C₄	—	67	4	no	—
1602	C₄⋊C₄	—	67	4	no	—
1603	C₄⋊C₄	—	67	4	no	—
1604	C₄⋊C₄	—	67	4	no	—
1605	C₄⋊C₄	—	67	4	no	—
1606	C₄⋊C₄	—	67	4	no	—
1607	C₄⋊C₄	—	67	2	no	—
1608	C₄⋊C₄	—	67	2	no	—
1609	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1610	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1611	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1612	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1613	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1614	C₄⋊C₄	C₂³×D₆₇	1	8	yes	—
1615	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1616	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1617	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1618	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1619	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1620	C₂²⋊C₄	—	67	4	no	—
1621	C₂²⋊C₄	—	67	4	no	—
1622	C₂²⋊C₄	—	67	4	no	—
1623	C₂²⋊C₄	—	67	4	no	—
1624	C₂²⋊C₄	—	67	4	no	—
1625	C₂²⋊C₄	—	67	8	no	—
1626	C₂²⋊C₄	—	67	8	no	—
1627	C₂²⋊C₄	—	67	8	no	—
1628	C₂²⋊C₄	—	67	4	no	—
1629	C₂²⋊C₄	—	67	4	no	—
1630	C₂²⋊C₄	—	67	4	no	—
1631	C₂²⋊C₄	—	67	4	no	—
1632	C₂²⋊C₄	—	67	4	no	—
1633	C₂²⋊C₄	—	67	4	no	—
1634	C₂²⋊C₄	—	67	4	no	—
1635	C₂²⋊C₄	—	67	4	no	—
1636	C₂²⋊C₄	—	67	8	no	—
1637	C₂²⋊C₄	—	67	4	no	—
1638	C₂²⋊C₄	—	67	4	no	—
1639	C₂²⋊C₄	—	67	8	no	—
1640	C₂²⋊C₄	—	67	8	no	—
1641	C₂²⋊C₄	—	67	4	no	—
1642	C₂²⋊C₄	—	67	4	no	—
1643	C₂²⋊C₄	—	67	4	no	—
1644	C₂²⋊C₄	—	67	8	no	—
1645	C₂²⋊C₄	—	67	4	no	—
1646	C₂²⋊C₄	—	67	4	no	—
1647	C₂²⋊C₄	—	67	4	no	—
1648	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1649	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1650	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1651	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1652	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1653	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1654	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1655	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1656	C₄²	—	67	1	no	—
1657	C₄²	—	67	1	no	—
1658	C₄²	—	67	4	no	—
1659	C₄²	—	67	4	no	—
1660	C₄²	—	67	1	no	—
1661	C₄²	—	67	1	no	—
1662	C₄²	—	67	1	no	—
1663	C₄²	—	67	1	no	—
1664	C₄²	—	67	1	no	—
1665	C₄²	—	67	1	no	—
1666	C₄²	—	67	1	no	—
1667	C₄²	—	67	1	no	—
1668	C₄²	—	67	1	no	—
1669	C₄²	—	67	1	no	—
1670	C₄²	—	67	8	no	—
1671	C₄²	—	67	4	no	—
1672	C₄²	—	67	4	no	—
1673	C₄²	—	67	4	no	—
1674	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1675	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1676	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1677	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1678	C₄²	C₂³×D₆₇	1	8	yes	—
1679	C₄²	C₂³×D₆₇	1	4	yes	—
1680	C₂³	—	2	4	no	—
1681	C₂³	—	4	2	no	—
1682	C₂³	—	4	2	no	—
1683	C₂³	—	268	2	no	—
1684	C₂³	—	268	4	no	—
1685	C₂³	—	268	2	no	—
1686	C₂³	—	268	4	no	—
1687	C₂³	—	268	8	no	—
1688	C₂³	—	268	8	no	—
1689	C₂³	—	268	32	no	—
1690	C₂³	—	67	8	no	—
1691	C₂³	—	67	4	no	—
1692	C₂³	—	67	1	no	—
1693	C₂³	—	67	1	no	—
1694	C₂³	—	67	4	no	—
1695	C₂³	—	134	8	no	—
1696	C₂³	—	134	8	no	—
1697	C₂³	—	134	8	no	—
1698	C₂³	—	134	8	no	—
1699	C₂³	—	134	16	no	—
1700	C₂³	—	134	2	no	—
1701	C₂³	—	134	2	no	—
1702	C₂³	—	134	2	no	—
1703	C₂³	C₂⁴×D₆₇	1	4	yes	—
1704	C₂³	C₂⁴×D₆₇	1	4	yes	—
1705	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1706	Q₈	—	2	4	no	—
1707	Q₈	—	2	4	no	—
1708	Q₈	—	4	2	no	—
1709	Q₈	—	268	8	no	—
1710	Q₈	—	268	2	no	—
1711	Q₈	—	134	4	no	—
1712	Q₈	—	134	4	no	—
1713	D₄	—	2	8	no	—
1714	D₄	—	2	4	no	—
1715	D₄	—	2	4	no	—
1716	D₄	—	2	4	no	—
1717	D₄	—	2	4	no	—
1718	D₄	—	4	8	no	—
1719	D₄	—	4	8	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	268	2	no	—
1722	D₄	—	268	8	no	—
1723	D₄	—	268	8	no	—
1724	D₄	—	268	8	no	—
1725	D₄	—	67	8	no	—
1726	D₄	—	67	8	no	—
1727	D₄	—	134	8	no	—
1728	D₄	—	134	8	no	—
1729	D₄	—	134	16	no	—
1730	D₄	—	134	8	no	—
1731	D₄	—	134	8	no	—
1732	D₄	—	134	8	no	—
1733	D₄	—	134	8	no	—
1734	D₄	—	134	16	no	—
1735	D₄	—	134	8	no	—
1736	D₄	—	134	4	no	—
1737	D₄	—	134	4	no	—
1738	C₂×C₄	—	2	8	no	—
1739	C₂×C₄	—	2	2	no	—
1740	C₂×C₄	—	2	8	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	4	no	—
1743	C₂×C₄	—	4	8	no	—
1744	C₂×C₄	—	4	1	no	—
1745	C₂×C₄	—	268	4	no	—
1746	C₂×C₄	—	268	4	no	—
1747	C₂×C₄	—	268	4	no	—
1748	C₂×C₄	—	268	8	no	—
1749	C₂×C₄	—	268	8	no	—
1750	C₂×C₄	—	268	1	no	—
1751	C₂×C₄	—	268	1	no	—
1752	C₂×C₄	—	268	8	no	—
1753	C₂×C₄	—	268	4	no	—
1754	C₂×C₄	—	268	4	no	—
1755	C₂×C₄	—	268	2	no	—
1756	C₂×C₄	—	268	1	no	—
1757	C₂×C₄	—	268	4	no	—
1758	C₂×C₄	—	67	1	no	—
1759	C₂×C₄	—	67	4	no	—
1760	C₂×C₄	—	67	1	no	—
1761	C₂×C₄	—	67	1	no	—
1762	C₂×C₄	—	67	4	no	—
1763	C₂×C₄	—	67	4	no	—
1764	C₂×C₄	—	67	1	no	—
1765	C₂×C₄	—	67	1	no	—
1766	C₂×C₄	—	67	1	no	—
1767	C₂×C₄	—	67	4	no	—
1768	C₂×C₄	—	67	4	no	—
1769	C₂×C₄	—	134	2	no	—
1770	C₂×C₄	—	134	8	no	—
1771	C₂×C₄	—	134	8	no	—
1772	C₂×C₄	—	134	2	no	—
1773	C₂×C₄	—	134	8	no	—
1774	C₂×C₄	—	134	2	no	—
1775	C₂×C₄	—	134	2	no	—
1776	C₂×C₄	—	134	16	no	—
1777	C₂×C₄	—	134	2	no	—
1778	C₂×C₄	—	134	8	no	—
1779	C₂×C₄	—	134	8	no	—
1780	C₂×C₄	—	134	2	no	—
1781	C₂×C₄	—	134	2	no	—
1782	C₂×C₄	—	134	2	no	—
1783	C₂×C₄	—	134	2	no	—
1784	C₂×C₄	—	134	2	no	—
1785	C₂×C₄	—	134	8	no	—
1786	C₂×C₄	—	134	2	no	—
1787	C₂×C₄	—	134	8	no	—
1788	C₂×C₄	#41×D₆₇	1	4	yes	complemented
1789	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1792	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1793	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1794	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1795	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1796	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1797	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1798	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	4	no	—
1802	C₂²	—	2	4	no	—
1803	C₂²	—	2	4	no	—
1804	C₂²	—	2	4	no	—
1805	C₂²	—	2	4	no	—
1806	C₂²	—	2	4	no	—
1807	C₂²	—	4	8	no	—
1808	C₂²	—	268	8	no	—
1809	C₂²	—	268	16	no	—
1810	C₂²	—	268	16	no	—
1811	C₂²	—	536	16	no	—
1812	C₂²	—	67	8	no	—
1813	C₂²	—	67	2	no	—
1814	C₂²	—	67	2	no	—
1815	C₂²	—	134	8	no	—
1816	C₂²	—	134	4	no	—
1817	C₂²	—	134	4	no	—
1818	C₂²	—	134	4	no	—
1819	C₂²	—	134	1	no	—
1820	C₂²	—	134	1	no	—
1821	C₂²	—	134	1	no	—
1822	C₂²	—	134	4	no	—
1823	C₂²	—	134	1	no	—
1824	C₂²	—	134	4	no	—
1825	C₂²	C₂×#41×D₆₇	1	2	yes	—
1826	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1827	C₄	—	2	4	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	4	no	—
1830	C₄	—	2	4	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	4	no	—
1834	C₄	—	67	2	no	—
1835	C₄	—	134	1	no	—
1836	C₄	—	134	1	no	—
1837	C₄	—	134	4	no	—
1838	C₄	—	134	1	no	—
1839	C₄	—	134	4	no	—
1840	C₄	—	134	4	no	—
1841	C₄	—	134	1	no	—
1842	C₄	—	134	1	no	—
1843	C₄	—	134	4	no	—
1844	C₄	C₂×#41×D₆₇	1	2	yes	—
1845	C₄	C₂×#41×D₆₇	1	2	yes	—
1846	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
1847	C₂	—	2	2	no	—
1848	C₂	—	4	4	no	—
1849	C₂	—	4	4	no	—
1850	C₂	—	268	4	no	—
1851	C₂	—	134	2	no	—
1852	C₂	—	134	2	no	—
1853	C₂	—	134	8	no	—
1854	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1855	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1856	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3506	C₂
hypercenter	#3506	D₆₇
hypocenter	C₆₇	#62773
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. #22574261	C₂	semidirect
2. #22574257	C₂	semidirect
3. #22574244	C₂	semidirect
4. #22574240	C₂	semidirect
5. #22574156	C₂	semidirect
6. #22574148	C₂	semidirect
7. #22574061	C₂	semidirect
8. #22574037	C₂	semidirect
9. #22574010	C₂	semidirect
10. #22573971	C₂	semidirect
11. #22573912	C₂	semidirect
12. #22573895	C₂	semidirect
13. #22573843	C₂	semidirect
14. #22573818	C₂	semidirect
15. #22573816	C₂	semidirect
16. #22573770	C₂	semidirect
17. #22573766	C₂	semidirect
18. #22573699	C₂	semidirect
19. #22573696	C₂	semidirect
20. #22573622	C₂	semidirect
21. #22573620	C₂	semidirect
22. #22573506	C₂	semidirect
23. #22573504	C₂	semidirect
24. #525×D₆₇	C₂	semidirect
25. #22573415	C₂	semidirect
26. C₂×C₄×D₄×D₆₇	C₂	semidirect
27. C₆₇×#3506	C₂	semidirect
29. C₂×#41×D₆₇	C₂²	semidirect
31. C₂³×C₄×D₆₇	C₂²	semidirect
32. #16864129	C₂²	semidirect
33. #16864116	C₂²	semidirect
34. #16864111	C₂²	semidirect
35. #16864107	C₂²	semidirect
36. #16864106	C₂²	semidirect
37. #16864106	C₂²	semidirect
38. #16864106	C₂²	semidirect
39. #16864102	C₂²	semidirect
40. #16864101	C₂²	semidirect
41. #16864096	C₂²	semidirect
42. #16864096	C₂²	semidirect
43. #16864096	C₂²	semidirect
44. #16864093	C₂²	semidirect
45. #16864091	C₂²	semidirect
46. #16864090	C₂²	semidirect
47. #16864090	C₂²	semidirect
48. #16864087	C₂²	semidirect
49. #16864085	C₂²	semidirect
50. #16864085	C₂²	semidirect
51. #16864080	C₂²	semidirect
52. #16864076	C₂²	semidirect
53. #16864075	C₂²	semidirect
54. #16864074	C₂²	semidirect
55. #16864074	C₂²	semidirect
56. #16864071	C₂²	semidirect
57. #16864071	C₂²	semidirect
58. #16864067	C₂²	semidirect
59. Q₈×D₂₆₈	C₂²	semidirect
60. #16864061	C₂²	semidirect
61. #16864056	C₂²	semidirect
62. #16864053	C₂²	semidirect
63. #16864051	C₂²	semidirect
64. #16864051	C₂²	semidirect
65. #16864051	C₂²	semidirect
66. #16864049	C₂²	semidirect
67. #16864047	C₂²	semidirect
68. #16864043	C₂²	semidirect
69. #16864043	C₂²	semidirect
70. #16864043	C₂²	semidirect
71. #16864043	C₂²	semidirect
72. #16864042	C₂²	semidirect
73. #16864039	C₂²	semidirect
74. #16864039	C₂²	semidirect
75. #16864039	C₂²	semidirect
76. #16864039	C₂²	semidirect
77. #16864038	C₂²	semidirect
78. #16864035	C₂²	semidirect
79. #16864034	C₂²	semidirect
80. D₄×D₂₆₈	C₂²	semidirect
81. #16864031	C₂²	semidirect
82. #16864031	C₂²	semidirect
83. #16864031	C₂²	semidirect
84. #16864030	C₂²	semidirect
85. #16864030	C₂²	semidirect
86. #16864024	C₂²	semidirect
87. #16864021	C₂²	semidirect
88. #16864015	C₂²	semidirect
89. #16864013	C₂²	semidirect
90. #16864000	C₂²	semidirect
91. #16863999	C₂²	semidirect
92. #16863989	C₂²	semidirect
93. #16863988	C₂²	semidirect
94. #16863987	C₂²	semidirect
95. #16863984	C₂²	semidirect
96. #16863981	C₂²	semidirect
97. #16863980	C₂²	semidirect
98. #16863978	C₂²	semidirect
99. #16863974	C₂²	semidirect
100. #16863963	C₂²	semidirect
101. #16863956	C₂²	semidirect
102. #16863954	C₂²	semidirect
103. #16863953	C₂²	semidirect
104. #16863951	C₂²	semidirect
105. #16863951	C₂²	semidirect
106. #16863951	C₂²	semidirect
107. #16863951	C₂²	semidirect
108. #16863947	C₂²	semidirect
109. #16863947	C₂²	semidirect
110. #16863946	C₂²	semidirect
111. #16863944	C₂²	semidirect
112. #16863944	C₂²	semidirect
113. #16863944	C₂²	semidirect
114. #16863941	C₂²	semidirect
115. #16863933	C₂²	semidirect
116. #16863933	C₂²	semidirect
117. #16863932	C₂²	semidirect
118. #16863932	C₂²	semidirect
119. #16863931	C₂²	semidirect
120. #16863931	C₂²	semidirect
121. #16863929	C₂²	semidirect
122. #16863928	C₂²	semidirect
123. #16863928	C₂²	semidirect
124. #16863927	C₂²	semidirect
125. #16863927	C₂²	semidirect
126. #16863927	C₂²	semidirect
127. #16863925	C₂²	semidirect
128. #16863925	C₂²	semidirect
129. #16863925	C₂²	semidirect
130. #16863925	C₂²	semidirect
131. #16863909	C₂²	semidirect
132. #16863909	C₂²	semidirect
133. #16863909	C₂²	semidirect
134. #16863908	C₂²	semidirect
135. #16863908	C₂²	semidirect
136. #16863907	C₂²	semidirect
137. #16863906	C₂²	semidirect
138. #16863906	C₂²	semidirect
139. #16863906	C₂²	semidirect
140. #16863906	C₂²	semidirect
141. #16863905	C₂²	semidirect
142. #16863905	C₂²	semidirect
143. #16863904	C₂²	semidirect
144. #16863904	C₂²	semidirect
145. #16863903	C₂²	semidirect
146. #16863903	C₂²	semidirect
147. #16863902	C₂²	semidirect
148. #123×D₆₇	C₂²	semidirect
149. C₂²⋊Q₈×D₆₇	C₂²	semidirect
150. C₂²⋊Q₈×D₆₇	C₂²	semidirect
151. #121×D₆₇	C₂²	semidirect
152. #121×D₆₇	C₂²	semidirect
153. #120×D₆₇	C₂²	semidirect
154. #16863878	C₂²	semidirect
155. #16863877	C₂²	semidirect
156. #16863877	C₂²	semidirect
158. #16863870	C₂²	semidirect
159. #16863868	C₂²	semidirect
160. #16863868	C₂²	semidirect
161. #41×Dic₆₇	C₂²	semidirect
162. C₄×#11761629	C₂²	semidirect
163. C₄×#11761629	C₂²	semidirect
164. C₄×#11761629	C₂²	semidirect
165. #16863864	C₂²	semidirect
166. #16863864	C₂²	semidirect
167. C₄×#11761627	C₂²	semidirect
168. C₄×#11761627	C₂²	semidirect
170. C₂×D₄×Dic₆₇	C₂²	semidirect
172. C₂×#14524005	C₂²	semidirect
173. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
174. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
175. C₄×D₄×D₆₇	C₂²	semidirect
176. C₄×D₄×D₆₇	C₂²	semidirect
177. C₄×D₄×D₆₇	C₂²	semidirect
178. C₄×D₄×D₆₇	C₂²	semidirect
179. C₄×D₄×D₆₇	C₂²	semidirect
180. C₄×D₄×D₆₇	C₂²	semidirect
181. C₄×D₄×D₆₇	C₂²	semidirect
182. C₄×D₄×D₆₇	C₂²	semidirect
183. C₄×D₄×D₆₇	C₂²	semidirect
184. C₄×D₄×D₆₇	C₂²	semidirect
185. C₄×D₄×D₆₇	C₂²	semidirect
186. #117×D₆₇	C₂²	semidirect
187. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
188. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
189. C₂×C₄²×D₆₇	C₂²	semidirect
190. #559×C₆₇	C₂²	semidirect
191. #556×C₆₇	C₂²	semidirect
192. #555×C₆₇	C₂²	semidirect
193. #553×C₆₇	C₂²	semidirect
194. #550×C₆₇	C₂²	semidirect
195. #547×C₆₇	C₂²	semidirect
196. #538×C₆₇	C₂²	semidirect
197. #535×C₆₇	C₂²	semidirect
198. #533×C₆₇	C₂²	semidirect
199. #532×C₆₇	C₂²	semidirect
200. #525×C₆₇	C₂²	semidirect
201. #520×C₆₇	C₂²	semidirect
202. C₂×C₄×D₄×C₆₇	C₂²	semidirect
211. C₂×#11761628	C₂³	semidirect
214. C₂×#11761627	C₂³	semidirect
216. C₂×Q₈×D₆₇	C₂³	semidirect
229. C₂×D₄×D₆₇	C₂³	semidirect
242. C₂²×C₄×D₆₇	C₂³	semidirect
243. #14524043	C₂³	semidirect
244. #14524043	C₂³	semidirect
245. #14524043	C₂³	semidirect
246. #14524043	C₂³	semidirect
247. #14524042	C₂³	semidirect
248. #14524040	C₂³	semidirect
250. #14524038	C₂³	semidirect
251. #14524038	C₂³	semidirect
252. #14524037	C₂³	semidirect
253. #14524036	C₂³	semidirect
254. #14524036	C₂³	semidirect
255. #14524036	C₂³	semidirect
256. #14524036	C₂³	semidirect
257. #14524036	C₂³	semidirect
258. #14524036	C₂³	semidirect
259. #14524035	C₂³	semidirect
260. #14524035	C₂³	semidirect
261. #14524035	C₂³	semidirect
262. #14524034	C₂³	semidirect
263. #14524034	C₂³	semidirect
264. #14524034	C₂³	semidirect
265. #14524034	C₂³	semidirect
266. #14524034	C₂³	semidirect
267. #14524033	C₂³	semidirect
268. #14524032	C₂³	semidirect
269. #14524032	C₂³	semidirect
270. #14524031	C₂³	semidirect
272. #14524030	C₂³	semidirect
273. #14524030	C₂³	semidirect
274. #14524030	C₂³	semidirect
275. #14524029	C₂³	semidirect
276. #14524029	C₂³	semidirect
280. #14524028	C₂³	semidirect
282. #14524027	C₂³	semidirect
283. #14524026	C₂³	semidirect
284. #14524026	C₂³	semidirect
290. #14524025	C₂³	semidirect
291. #14524025	C₂³	semidirect
292. #14524025	C₂³	semidirect
293. #14524025	C₂³	semidirect
295. #14524024	C₂³	semidirect
296. #14524024	C₂³	semidirect
301. #14524023	C₂³	semidirect
302. #14524023	C₂³	semidirect
305. #14524022	C₂³	semidirect
306. #14524022	C₂³	semidirect
307. #14524022	C₂³	semidirect
309. #14524021	C₂³	semidirect
310. #14524021	C₂³	semidirect
311. #14524021	C₂³	semidirect
312. #14524021	C₂³	semidirect
314. #14524020	C₂³	semidirect
319. #14524019	C₂³	semidirect
320. #14524019	C₂³	semidirect
321. #14524019	C₂³	semidirect
326. #14524018	C₂³	semidirect
329. #14524017	C₂³	semidirect
330. #14524017	C₂³	semidirect
334. #14524016	C₂³	semidirect
335. #14524016	C₂³	semidirect
337. #14524015	C₂³	semidirect
338. #14524015	C₂³	semidirect
347. #14524014	C₂³	semidirect
348. #14524014	C₂³	semidirect
349. #14524014	C₂³	semidirect
353. #14524013	C₂³	semidirect
360. #14524011	C₂³	semidirect
361. Q₈×Dic₆₇	C₂³	semidirect
362. Q₈×Dic₆₇	C₂³	semidirect
363. Q₈×Dic₆₇	C₂³	semidirect
364. Q₈×Dic₆₇	C₂³	semidirect
365. C₄×Dic₁₃₄	C₂³	semidirect
366. C₄×Dic₁₃₄	C₂³	semidirect
367. #14524008	C₂³	semidirect
368. #14524008	C₂³	semidirect
369. #14524008	C₂³	semidirect
370. #14524008	C₂³	semidirect
371. #14524008	C₂³	semidirect
381. C₄×D₂₆₈	C₂³	semidirect
382. C₄×D₂₆₈	C₂³	semidirect
383. C₄×D₂₆₈	C₂³	semidirect
384. C₄×D₂₆₈	C₂³	semidirect
391. D₄×Dic₆₇	C₂³	semidirect
392. D₄×Dic₆₇	C₂³	semidirect
393. D₄×Dic₆₇	C₂³	semidirect
394. D₄×Dic₆₇	C₂³	semidirect
395. D₄×Dic₆₇	C₂³	semidirect
404. #14524005	C₂³	semidirect
405. #14524005	C₂³	semidirect
406. #14524005	C₂³	semidirect
407. #14524005	C₂³	semidirect
408. #14524005	C₂³	semidirect
409. #14524005	C₂³	semidirect
410. #14524005	C₂³	semidirect
419. C₄×C₂²⋊D₆₇	C₂³	semidirect
420. C₄×C₂²⋊D₆₇	C₂³	semidirect
421. C₄×C₂²⋊D₆₇	C₂³	semidirect
430. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
431. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
432. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
434. #14524002	C₂³	semidirect
435. #14524002	C₂³	semidirect
440. #14524001	C₂³	semidirect
441. #14524001	C₂³	semidirect
442. #14524001	C₂³	semidirect
443. #14524001	C₂³	semidirect
445. #14524000	C₂³	semidirect
446. #14524000	C₂³	semidirect
447. #14523999	C₂³	semidirect
448. #14523999	C₂³	semidirect
449. #14523999	C₂³	semidirect
456. C₄⋊C₄×D₆₇	C₂³	semidirect
457. C₄⋊C₄×D₆₇	C₂³	semidirect
458. C₄⋊C₄×D₆₇	C₂³	semidirect
459. C₄⋊C₄×D₆₇	C₂³	semidirect
460. C₄⋊C₄×D₆₇	C₂³	semidirect
464. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
472. C₂²⋊C₄×D₆₇	C₂³	semidirect
473. C₂²⋊C₄×D₆₇	C₂³	semidirect
474. C₂²⋊C₄×D₆₇	C₂³	semidirect
478. C₂×C₄×Dic₆₇	C₂³	semidirect
487. C₄²×D₆₇	C₂³	semidirect
488. C₄²×D₆₇	C₂³	semidirect
490. C₂×#41×C₆₇	C₂³	semidirect
493. C₄⋊Q₈×C₆₇	C₂³	semidirect
494. C₄⋊Q₈×C₆₇	C₂³	semidirect
495. C₄⋊Q₈×C₆₇	C₂³	semidirect
497. #127×C₆₇	C₂³	semidirect
498. #126×C₆₇	C₂³	semidirect
499. #125×C₆₇	C₂³	semidirect
501. #124×C₆₇	C₂³	semidirect
502. #124×C₆₇	C₂³	semidirect
503. #123×C₆₇	C₂³	semidirect
504. #123×C₆₇	C₂³	semidirect
507. C₂²⋊Q₈×C₆₇	C₂³	semidirect
512. #121×C₆₇	C₂³	semidirect
513. #121×C₆₇	C₂³	semidirect
515. C₄×Q₈×C₆₇	C₂³	semidirect
516. C₄×Q₈×C₆₇	C₂³	semidirect
517. C₄×Q₈×C₆₇	C₂³	semidirect
523. C₄×D₄×C₆₇	C₂³	semidirect
524. C₄×D₄×C₆₇	C₂³	semidirect
525. C₄×D₄×C₆₇	C₂³	semidirect
526. C₄×D₄×C₆₇	C₂³	semidirect
528. #117×C₆₇	C₂³	semidirect
529. #117×C₆₇	C₂³	semidirect
531. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
558. C₂×D₂₆₈	#41	semidirect
772. C₂²×D₆₇	C₂×#41	semidirect
795. C₂×C₄×C₆₇	C₂×#41	semidirect
839. D₂₆₈	C₂×#41	semidirect
840. D₂₆₈	C₂×#41	semidirect
865. C₄×D₆₇	H(5,𝔽₂)	semidirect
936. #3506	D₆₇	semidirect
956. C₆₇	#62773	semidirect
962. #559	C₂×D₆₇	semidirect
964. #556	C₂×D₆₇	semidirect
966. #555	C₂×D₆₇	semidirect
980. #553	C₂×D₆₇	semidirect
992. #550	C₂×D₆₇	semidirect
1002. #547	C₂×D₆₇	semidirect
1034. #538	C₂×D₆₇	semidirect
1037. #535	C₂×D₆₇	semidirect
1045. #533	C₂×D₆₇	semidirect
1053. #532	C₂×D₆₇	semidirect
1087. #525	C₂×D₆₇	semidirect
1097. #520	C₂×D₆₇	semidirect
1127. C₂×C₄×D₄	C₂×D₆₇	semidirect
1146. C₂×#41	C₂²×D₆₇	semidirect
1181. C₄⋊Q₈	C₂²×D₆₇	semidirect
1182. C₄⋊Q₈	C₂²×D₆₇	semidirect
1183. C₄⋊Q₈	C₂²×D₆₇	semidirect
1187. #127	C₂²×D₆₇	semidirect
1197. #126	C₂²×D₆₇	semidirect
1207. #125	C₂²×D₆₇	semidirect
1218. #124	C₂²×D₆₇	semidirect
1219. #124	C₂²×D₆₇	semidirect
1240. #123	C₂²×D₆₇	semidirect
1241. #123	C₂²×D₆₇	semidirect
1269. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1302. #121	C₂²×D₆₇	semidirect
1303. #121	C₂²×D₆₇	semidirect
1327. C₄×Q₈	C₂²×D₆₇	semidirect
1328. C₄×Q₈	C₂²×D₆₇	semidirect
1329. C₄×Q₈	C₂²×D₆₇	semidirect
1396. C₄×D₄	C₂²×D₆₇	semidirect
1397. C₄×D₄	C₂²×D₆₇	semidirect
1398. C₄×D₄	C₂²×D₆₇	semidirect
1399. C₄×D₄	C₂²×D₆₇	semidirect
1418. #117	C₂²×D₆₇	semidirect
1419. #117	C₂²×D₆₇	semidirect
1432. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
1788. C₂×C₄	#41×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574261	2
#22574257	2
#22574244	2
#22574240	2
#22574156	2
#22574148	2
#22574061	2
#22574037	2
#22574010	2
#22573971	2
#22573912	2
#22573895	2
#22573843	2
#22573818	2
#22573816	2
#22573770	2
#22573766	2
#22573699	2
#22573696	2
#22573622	2
#22573620	2
#22573506	2
#22573504	2
#525×D₆₇	2
#22573415	2
C₂×C₄×D₄×D₆₇	2
C₆₇×#3506	2
#62773	67