Subgroups — #31764458

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574518	C₂	1	4	yes	maximal, complemented
2	#22574510	C₂	1	4	yes	maximal, complemented
3	#22574446	C₂	1	2	yes	maximal, complemented
4	#22574441	C₂	1	2	yes	maximal, complemented
5	#22574435	C₂	1	2	yes	maximal, complemented
6	#22574430	C₂	1	2	yes	maximal, complemented
7	#22574402	C₂	1	4	yes	maximal, complemented
8	#22574391	C₂	1	4	yes	maximal, complemented
9	#22574233	C₂	1	4	yes	maximal, complemented
10	#22574231	C₂	1	4	yes	maximal, complemented
11	#22574040	C₂	1	4	yes	maximal, complemented
12	#22573969	C₂	1	4	yes	maximal, complemented
13	#22573935	C₂	1	4	yes	maximal, complemented
14	#22573910	C₂	1	2	yes	maximal, complemented
15	#22573898	C₂	1	1	yes	maximal, characteristic, complemented
16	#22573892	C₂	1	2	yes	maximal, complemented
17	#22573872	C₂	1	4	yes	maximal, complemented
18	#22573842	C₂	1	2	yes	maximal, complemented
19	#22573838	C₂	1	2	yes	maximal, complemented
20	#22573838	C₂	1	2	yes	maximal, complemented
21	#525×D₆₇	C₂	1	2	yes	maximal, complemented
22	C₂²×#14524016	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3490	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14524089	C₂²	1	2	yes	complemented
25	C₂×#14524088	C₂²	1	2	yes	complemented
26	C₂×#14524088	C₂²	1	2	yes	complemented
27	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
28	C₂³×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
29	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
32	#16864143	C₂²	1	4	yes	complemented
33	#16864142	C₂²	1	4	yes	complemented
34	#16864142	C₂²	1	4	yes	complemented
35	#16864140	C₂²	1	4	yes	complemented
36	#16864137	C₂²	1	4	yes	complemented
37	#16864136	C₂²	1	4	yes	complemented
38	#16864135	C₂²	1	4	yes	complemented
39	#16864134	C₂²	1	4	yes	complemented
40	#16864109	C₂²	1	4	yes	complemented
41	#16864108	C₂²	1	4	yes	complemented
42	#16864105	C₂²	1	4	yes	complemented
43	#16864100	C₂²	1	4	yes	complemented
44	#16864097	C₂²	1	4	yes	complemented
45	#16864097	C₂²	1	4	yes	complemented
46	#16864097	C₂²	1	4	yes	complemented
47	#16864096	C₂²	1	4	yes	complemented
48	#16864095	C₂²	1	4	yes	complemented
49	#16864095	C₂²	1	4	yes	complemented
50	#16864091	C₂²	1	4	yes	complemented
51	#16864091	C₂²	1	4	yes	complemented
52	#16864090	C₂²	1	4	yes	complemented
53	#16864089	C₂²	1	4	yes	complemented
54	#16864083	C₂²	1	4	yes	complemented
55	#16864079	C₂²	1	4	yes	complemented
56	#16864075	C₂²	1	4	yes	complemented
57	#16864073	C₂²	1	4	yes	complemented
58	#16864072	C₂²	1	4	yes	complemented
59	#16864072	C₂²	1	4	yes	complemented
60	#16864070	C₂²	1	4	yes	complemented
61	#16864069	C₂²	1	4	yes	complemented
62	#16864067	C₂²	1	4	yes	complemented
63	#16864064	C₂²	1	4	yes	complemented
64	#16864056	C₂²	1	4	yes	complemented
65	#16864054	C₂²	1	4	yes	complemented
66	#16864048	C₂²	1	4	yes	complemented
67	#16864045	C₂²	1	4	yes	complemented
68	#16864044	C₂²	1	4	yes	complemented
69	#16864044	C₂²	1	4	yes	complemented
70	#16864042	C₂²	1	4	yes	complemented
71	#16864042	C₂²	1	4	yes	complemented
72	#16864042	C₂²	1	4	yes	complemented
73	#16864041	C₂²	1	4	yes	complemented
74	#16864039	C₂²	1	4	yes	complemented
75	#16864038	C₂²	1	4	yes	complemented
76	#16864038	C₂²	1	4	yes	complemented
77	#16864037	C₂²	1	4	yes	complemented
78	#16864037	C₂²	1	4	yes	complemented
79	#16864036	C₂²	1	4	yes	complemented
80	#16864036	C₂²	1	4	yes	complemented
81	#16864036	C₂²	1	4	yes	complemented
82	#16864036	C₂²	1	4	yes	complemented
83	#16864036	C₂²	1	4	yes	complemented
84	#16864036	C₂²	1	4	yes	complemented
85	#16864036	C₂²	1	4	yes	complemented
86	#16864036	C₂²	1	4	yes	complemented
87	#16864035	C₂²	1	4	yes	complemented
88	#16864035	C₂²	1	4	yes	complemented
89	#16864034	C₂²	1	4	yes	complemented
90	#16864033	C₂²	1	4	yes	complemented
91	#16864033	C₂²	1	4	yes	complemented
92	#16864033	C₂²	1	4	yes	complemented
93	#16864033	C₂²	1	4	yes	complemented
94	D₄×D₂₆₈	C₂²	1	4	yes	complemented
95	D₄×D₂₆₈	C₂²	1	4	yes	complemented
96	#16864030	C₂²	1	4	yes	complemented
97	#16864030	C₂²	1	4	yes	complemented
98	#16864030	C₂²	1	4	yes	complemented
99	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
100	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
101	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
102	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
103	#16864028	C₂²	1	4	yes	complemented
104	#16864028	C₂²	1	4	yes	complemented
105	#16864028	C₂²	1	4	yes	complemented
106	#16864028	C₂²	1	4	yes	complemented
107	#16864028	C₂²	1	4	yes	complemented
108	#16864025	C₂²	1	2	yes	complemented
109	#16864022	C₂²	1	1	yes	characteristic, complemented
110	#16864021	C₂²	1	2	yes	complemented
111	#16864016	C₂²	1	4	yes	complemented
112	#16864012	C₂²	1	4	yes	complemented
113	#16864001	C₂²	1	4	yes	complemented
114	#16863998	C₂²	1	4	yes	complemented
115	#16863998	C₂²	1	4	yes	complemented
116	#16863998	C₂²	1	4	yes	complemented
117	#16863997	C₂²	1	4	yes	complemented
118	#16863996	C₂²	1	4	yes	complemented
119	#16863995	C₂²	1	2	yes	complemented
120	#16863992	C₂²	1	4	yes	complemented
121	#16863991	C₂²	1	2	yes	complemented
122	#16863988	C₂²	1	4	yes	complemented
123	#16863987	C₂²	1	4	yes	complemented
124	#16863986	C₂²	1	2	yes	complemented
125	#16863985	C₂²	1	4	yes	complemented
126	#16863984	C₂²	1	2	yes	complemented
127	#16863984	C₂²	1	2	yes	complemented
128	#16863984	C₂²	1	4	yes	complemented
129	#16863983	C₂²	1	2	yes	complemented
130	#16863982	C₂²	1	4	yes	complemented
131	#16863980	C₂²	1	4	yes	complemented
132	#16863980	C₂²	1	4	yes	complemented
133	#16863979	C₂²	1	4	yes	complemented
134	#16863979	C₂²	1	4	yes	complemented
135	#16863976	C₂²	1	4	yes	complemented
136	#16863976	C₂²	1	4	yes	complemented
137	#16863975	C₂²	1	4	yes	complemented
138	#16863973	C₂²	1	2	yes	complemented
139	#16863973	C₂²	1	4	yes	complemented
140	#16863965	C₂²	1	2	yes	complemented
141	#16863964	C₂²	1	4	yes	complemented
142	#16863961	C₂²	1	4	yes	complemented
143	#16863961	C₂²	1	4	yes	complemented
144	#16863961	C₂²	1	4	yes	complemented
145	#16863960	C₂²	1	2	yes	complemented
146	#16863958	C₂²	1	2	yes	complemented
147	#16863958	C₂²	1	2	yes	complemented
148	#16863958	C₂²	1	1	yes	characteristic, complemented
149	#16863957	C₂²	1	4	yes	complemented
150	#16863957	C₂²	1	4	yes	complemented
151	#16863957	C₂²	1	4	yes	complemented
152	#16863956	C₂²	1	4	yes	complemented
153	#16863956	C₂²	1	4	yes	complemented
154	#16863956	C₂²	1	4	yes	complemented
155	#16863955	C₂²	1	2	yes	complemented
156	#16863955	C₂²	1	2	yes	complemented
157	#16863954	C₂²	1	2	yes	complemented
158	#16863945	C₂²	1	4	yes	complemented
159	#16863943	C₂²	1	4	yes	complemented
160	#16863929	C₂²	1	4	yes	complemented
161	#16863924	C₂²	1	4	yes	complemented
162	#16863909	C₂²	1	2	yes	complemented
163	#16863909	C₂²	1	2	yes	complemented
164	#16863908	C₂²	1	2	yes	complemented
165	#16863907	C₂²	1	2	yes	complemented
166	#16863907	C₂²	1	2	yes	complemented
167	#16863906	C₂²	1	2	yes	complemented
168	#16863906	C₂²	1	2	yes	complemented
169	#16863905	C₂²	1	4	yes	complemented
170	#16863905	C₂²	1	4	yes	complemented
171	#16863905	C₂²	1	4	yes	complemented
172	#16863904	C₂²	1	4	yes	complemented
173	#16863904	C₂²	1	4	yes	complemented
174	#16863903	C₂²	1	2	yes	complemented
175	#16863902	C₂²	1	4	yes	complemented
176	#16863902	C₂²	1	4	yes	complemented
177	#123×D₆₇	C₂²	1	4	yes	complemented
178	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
179	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
180	C₂×#14524016	C₂²	1	4	yes	complemented
181	C₂×#14524016	C₂²	1	4	yes	complemented
182	C₂×#14524016	C₂²	1	2	yes	complemented
183	C₂×#14524016	C₂²	1	2	yes	complemented
184	C₂×#14524016	C₂²	1	4	yes	complemented
185	C₂×#14524016	C₂²	1	2	yes	complemented
186	C₂×#14524016	C₂²	1	2	yes	complemented
187	C₂×#14524016	C₂²	1	4	yes	complemented
188	C₂×#14524016	C₂²	1	4	yes	complemented
189	#121×D₆₇	C₂²	1	2	yes	complemented
190	#121×D₆₇	C₂²	1	2	yes	complemented
191	#121×D₆₇	C₂²	1	4	yes	complemented
192	C₂×#14524012	C₂²	1	2	yes	complemented
193	#120×D₆₇	C₂²	1	4	yes	complemented
194	#120×D₆₇	C₂²	1	4	yes	complemented
195	#16863875	C₂²	1	4	yes	complemented
196	#16863870	C₂²	1	2	yes	complemented
197	#16863869	C₂²	1	2	yes	complemented
198	#16863869	C₂²	1	2	yes	complemented
199	#16863869	C₂²	1	2	yes	complemented
200	#16863868	C₂²	1	4	yes	complemented
201	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
202	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
203	#117×D₆₇	C₂²	1	2	yes	complemented
204	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
205	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
206	#551×C₆₇	C₂²	1	4	yes	complemented
207	#551×C₆₇	C₂²	1	4	yes	complemented
208	#546×C₆₇	C₂²	1	4	yes	complemented
209	#546×C₆₇	C₂²	1	4	yes	complemented
210	#543×C₆₇	C₂²	1	1	yes	characteristic, complemented
211	#538×C₆₇	C₂²	1	2	yes	complemented
212	#538×C₆₇	C₂²	1	2	yes	complemented
213	#534×C₆₇	C₂²	1	1	yes	characteristic, complemented
214	#525×C₆₇	C₂²	1	2	yes	complemented
215	#525×C₆₇	C₂²	1	2	yes	complemented
216	C₂×#120×C₆₇	C₂²	1	2	yes	complemented
217	#518×C₆₇	C₂²	1	2	yes	complemented
218	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
221	#14524089	—	4	8	no	—
222	#14524088	—	4	8	no	—
223	#14524088	—	4	8	no	—
224	C₂×#11761629	C₂³	1	4	yes	complemented
225	C₂×#11761629	C₂³	1	2	yes	complemented
226	C₂×#11761628	C₂³	1	2	yes	—
227	C₂×#11761628	C₂³	1	2	yes	—
228	C₂×#11761628	C₂³	1	4	yes	complemented
229	C₂×#11761628	C₂³	1	4	yes	complemented
230	C₂×#11761628	C₂³	1	4	yes	complemented
231	C₂×#11761628	C₂³	1	4	yes	complemented
232	C₂×#11761627	C₂³	1	4	yes	—
233	C₂×#11761627	C₂³	1	4	yes	—
234	C₂×#11761627	C₂³	1	4	yes	complemented
235	C₂×#11761627	C₂³	1	4	yes	complemented
236	C₂×#11761627	C₂³	1	2	yes	complemented
237	#41×D₆₇	—	4	8	no	—
238	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
239	C₂²×D₂₆₈	—	4	4	no	—
240	C₂²×D₂₆₈	C₂³	1	2	yes	—
241	C₂²×D₂₆₈	C₂³	1	2	yes	—
242	C₂²×D₂₆₈	C₂³	1	4	yes	—
243	C₂²×D₂₆₈	C₂³	1	2	yes	—
244	C₂²×D₂₆₈	C₂³	1	2	yes	—
245	C₂²×D₂₆₈	C₂³	1	4	yes	complemented
246	C₂²×C₂²⋊D₆₇	—	4	4	no	—
247	C₂²×C₂²⋊D₆₇	—	4	4	no	—
248	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
249	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
250	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
251	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
252	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
253	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
254	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
255	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
256	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
257	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
258	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
259	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
260	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
261	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
262	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
263	C₂×D₄×D₆₇	C₂³	1	4	yes	—
264	C₂×D₄×D₆₇	C₂³	1	4	yes	—
265	C₂×D₄×D₆₇	C₂³	1	4	yes	—
266	C₂×D₄×D₆₇	C₂³	1	4	yes	—
267	C₂×D₄×D₆₇	C₂³	1	4	yes	—
268	C₂×D₄×D₆₇	C₂³	1	4	yes	—
269	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
270	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
271	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
272	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
273	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
274	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₆₇	—	4	4	no	—
276	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
277	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
278	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
279	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
280	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
281	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
282	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
283	#14524042	C₂³	1	4	yes	complemented
284	#14524041	C₂³	1	4	yes	complemented
285	#14524040	C₂³	1	4	yes	complemented
286	#14524039	C₂³	1	4	yes	complemented
287	#14524039	C₂³	1	4	yes	complemented
288	#14524039	C₂³	1	4	yes	complemented
289	#14524039	C₂³	1	4	yes	complemented
290	#14524039	C₂³	1	4	yes	complemented
291	#14524038	C₂³	1	4	yes	complemented
292	#14524038	C₂³	1	4	yes	complemented
293	#14524038	C₂³	1	4	yes	complemented
294	#14524038	C₂³	1	4	yes	complemented
295	#14524037	C₂³	1	4	yes	complemented
296	#14524037	C₂³	1	4	yes	complemented
297	#14524036	C₂³	1	4	yes	complemented
298	#14524036	C₂³	1	4	yes	complemented
299	#14524036	C₂³	1	4	yes	complemented
300	#14524036	C₂³	1	4	yes	complemented
301	#14524035	C₂³	1	4	yes	complemented
302	#14524034	C₂³	1	4	yes	complemented
303	#14524033	C₂³	1	4	yes	complemented
304	#14524033	C₂³	1	4	yes	complemented
305	#14524033	C₂³	1	4	yes	complemented
306	#14524033	C₂³	1	4	yes	complemented
307	#14524032	C₂³	1	4	yes	complemented
308	#14524032	C₂³	1	4	yes	complemented
309	#14524031	C₂³	1	4	yes	complemented
310	#14524031	C₂³	1	4	yes	complemented
311	#14524029	C₂³	1	4	yes	complemented
312	#14524029	C₂³	1	4	yes	complemented
313	#14524029	C₂³	1	4	yes	complemented
314	#14524029	C₂³	1	4	yes	complemented
315	#14524029	C₂³	1	4	yes	complemented
316	#14524029	C₂³	1	4	yes	complemented
317	#14524029	C₂³	1	4	yes	complemented
318	#14524029	C₂³	1	4	yes	complemented
319	#14524028	C₂³	1	4	yes	complemented
320	#14524028	C₂³	1	4	yes	complemented
321	#14524028	C₂³	1	4	yes	complemented
322	#14524028	C₂³	1	4	yes	complemented
323	#14524028	C₂³	1	4	yes	complemented
324	#14524028	C₂³	1	4	yes	complemented
325	#14524028	C₂³	1	4	yes	complemented
326	#14524028	C₂³	1	4	yes	complemented
327	#14524028	C₂³	1	4	yes	complemented
328	#14524028	C₂³	1	4	yes	complemented
329	#14524027	C₂³	1	4	yes	—
330	#14524027	C₂³	1	4	yes	—
331	#14524027	C₂³	1	4	yes	complemented
332	#14524027	C₂³	1	4	yes	complemented
333	#14524027	C₂³	1	4	yes	complemented
334	#14524027	C₂³	1	4	yes	complemented
335	#14524026	C₂³	1	4	yes	—
336	#14524026	C₂³	1	4	yes	—
337	#14524026	C₂³	1	4	yes	complemented
338	#14524026	C₂³	1	4	yes	complemented
339	#14524026	C₂³	1	4	yes	complemented
340	#14524026	C₂³	1	4	yes	complemented
341	#14524025	C₂³	1	4	yes	complemented
342	#14524025	C₂³	1	4	yes	complemented
343	#14524025	C₂³	1	4	yes	complemented
344	#14524025	C₂³	1	4	yes	complemented
345	#14524025	C₂³	1	4	yes	complemented
346	#14524025	C₂³	1	4	yes	complemented
347	#14524025	C₂³	1	4	yes	complemented
348	#14524025	C₂³	1	4	yes	complemented
349	#14524025	C₂³	1	4	yes	complemented
350	#14524025	C₂³	1	4	yes	complemented
351	#14524024	C₂³	1	4	yes	—
352	#14524024	C₂³	1	4	yes	—
353	#14524024	C₂³	1	4	yes	complemented
354	#14524023	C₂³	1	4	yes	complemented
355	#14524023	C₂³	1	2	yes	complemented
356	#14524023	C₂³	1	2	yes	complemented
357	#14524022	C₂³	1	2	yes	—
358	#14524022	C₂³	1	2	yes	—
359	#14524022	C₂³	1	2	yes	—
360	#14524022	C₂³	1	2	yes	—
361	#14524022	C₂³	1	4	yes	complemented
362	#14524021	C₂³	1	4	yes	complemented
363	#14524021	C₂³	1	4	yes	complemented
364	#14524021	C₂³	1	4	yes	complemented
365	#14524021	C₂³	1	4	yes	complemented
366	#14524021	C₂³	1	4	yes	complemented
367	#14524021	C₂³	1	4	yes	complemented
368	#14524020	C₂³	1	4	yes	—
369	#14524020	C₂³	1	4	yes	—
370	#14524020	C₂³	1	4	yes	—
371	#14524020	C₂³	1	4	yes	—
372	#14524020	C₂³	1	4	yes	complemented
373	#14524020	C₂³	1	4	yes	complemented
374	#14524020	C₂³	1	4	yes	complemented
375	#14524020	C₂³	1	4	yes	complemented
376	#14524019	C₂³	1	4	yes	complemented
377	#14524019	C₂³	1	4	yes	complemented
378	#14524019	C₂³	1	2	yes	complemented
379	#14524019	C₂³	1	2	yes	complemented
380	#14524018	C₂³	1	4	yes	complemented
381	#14524018	C₂³	1	4	yes	complemented
382	#14524018	C₂³	1	4	yes	complemented
383	#14524018	C₂³	1	4	yes	complemented
384	#14524018	C₂³	1	4	yes	complemented
385	#14524018	C₂³	1	4	yes	complemented
386	#14524018	C₂³	1	4	yes	complemented
387	#14524018	C₂³	1	2	yes	complemented
388	#14524018	C₂³	1	2	yes	complemented
389	#14524017	C₂³	1	2	yes	—
390	#14524017	C₂³	1	2	yes	—
391	#14524017	C₂³	1	2	yes	—
392	#14524017	C₂³	1	2	yes	—
393	#14524017	C₂³	1	4	yes	complemented
394	#14524017	C₂³	1	4	yes	complemented
395	#14524017	C₂³	1	4	yes	complemented
396	#14524017	C₂³	1	4	yes	complemented
397	#14524017	C₂³	1	4	yes	complemented
398	#14524017	C₂³	1	4	yes	complemented
399	#14524017	C₂³	1	4	yes	complemented
400	#14524016	C₂³	1	4	yes	—
401	#14524016	C₂³	1	4	yes	—
402	#14524016	C₂³	1	4	yes	—
403	#14524016	C₂³	1	4	yes	—
404	#14524016	C₂³	1	4	yes	—
405	#14524016	C₂³	1	4	yes	—
406	#14524016	C₂³	1	4	yes	—
407	#14524016	C₂³	1	4	yes	—
408	#14524016	C₂³	1	4	yes	—
409	#14524016	C₂³	1	4	yes	—
410	#14524016	C₂³	1	4	yes	—
411	#14524016	C₂³	1	4	yes	—
412	#14524016	C₂³	1	4	yes	—
413	#14524016	C₂³	1	4	yes	—
414	#14524016	C₂³	1	4	yes	—
415	#14524016	C₂³	1	4	yes	—
416	#14524016	C₂³	1	4	yes	complemented
417	#14524016	C₂³	1	4	yes	complemented
418	#14524016	C₂³	1	4	yes	complemented
419	#14524016	C₂³	1	4	yes	complemented
420	#14524016	C₂³	1	4	yes	complemented
421	#14524016	C₂³	1	4	yes	complemented
422	#14524016	C₂³	1	4	yes	complemented
423	#14524016	C₂³	1	4	yes	complemented
424	#14524016	C₂³	1	4	yes	complemented
425	#14524016	C₂³	1	4	yes	complemented
426	#14524016	C₂³	1	4	yes	complemented
427	#14524016	C₂³	1	4	yes	complemented
428	#14524016	C₂³	1	4	yes	complemented
429	#14524016	C₂³	1	4	yes	complemented
430	#14524016	C₂³	1	4	yes	complemented
431	#14524016	C₂³	1	4	yes	complemented
432	#14524016	C₂³	1	4	yes	complemented
433	#14524016	C₂³	1	4	yes	complemented
434	#14524015	C₂³	1	4	yes	—
435	#14524015	C₂³	1	4	yes	—
436	#14524015	C₂³	1	4	yes	—
437	#14524015	C₂³	1	4	yes	—
438	#14524015	C₂³	1	4	yes	complemented
439	#14524015	C₂³	1	4	yes	complemented
440	#14524015	C₂³	1	4	yes	complemented
441	#14524015	C₂³	1	4	yes	complemented
442	#14524015	C₂³	1	4	yes	complemented
443	#14524015	C₂³	1	4	yes	complemented
444	#14524015	C₂³	1	4	yes	complemented
445	#14524015	C₂³	1	4	yes	complemented
446	#14524015	C₂³	1	4	yes	complemented
447	#14524015	C₂³	1	4	yes	complemented
448	#14524014	C₂³	1	4	yes	complemented
449	#14524014	C₂³	1	4	yes	complemented
450	#14524014	C₂³	1	4	yes	complemented
451	#14524014	C₂³	1	4	yes	complemented
452	#14524014	C₂³	1	2	yes	complemented
453	#14524014	C₂³	1	2	yes	complemented
454	#14524013	C₂³	1	4	yes	—
455	#14524013	C₂³	1	4	yes	—
456	#14524013	C₂³	1	4	yes	—
457	#14524013	C₂³	1	4	yes	—
458	#14524013	C₂³	1	4	yes	—
459	#14524013	C₂³	1	4	yes	—
460	#14524013	C₂³	1	4	yes	complemented
461	#14524013	C₂³	1	4	yes	complemented
462	#14524013	C₂³	1	4	yes	complemented
463	#14524013	C₂³	1	4	yes	complemented
464	#14524013	C₂³	1	4	yes	complemented
465	#14524013	C₂³	1	4	yes	complemented
466	#14524013	C₂³	1	4	yes	complemented
467	#14524013	C₂³	1	4	yes	complemented
468	#14524012	C₂³	1	4	yes	—
469	#14524012	C₂³	1	4	yes	—
470	#14524012	C₂³	1	4	yes	—
471	#14524012	C₂³	1	4	yes	—
472	#14524012	C₂³	1	4	yes	complemented
473	#14524012	C₂³	1	4	yes	complemented
474	#14524011	C₂³	1	4	yes	—
475	#14524011	C₂³	1	4	yes	—
476	#14524011	C₂³	1	4	yes	—
477	#14524011	C₂³	1	4	yes	—
478	#14524011	C₂³	1	4	yes	—
479	#14524011	C₂³	1	4	yes	—
480	#14524011	C₂³	1	4	yes	complemented
481	#14524011	C₂³	1	4	yes	complemented
482	#14524011	C₂³	1	4	yes	complemented
483	#14524011	C₂³	1	4	yes	complemented
484	#14524011	C₂³	1	4	yes	complemented
485	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
486	#14524008	C₂³	1	4	yes	complemented
487	C₄×D₂₆₈	C₂³	1	4	yes	complemented
488	C₄×D₂₆₈	C₂³	1	4	yes	complemented
489	C₄×D₂₆₈	C₂³	1	4	yes	complemented
490	C₄×D₂₆₈	C₂³	1	4	yes	complemented
491	C₄×D₂₆₈	C₂³	1	4	yes	complemented
492	D₄×Dic₆₇	C₂³	1	4	yes	—
493	D₄×Dic₆₇	C₂³	1	4	yes	—
494	D₄×Dic₆₇	C₂³	1	4	yes	—
495	D₄×Dic₆₇	C₂³	1	4	yes	—
496	#14524005	C₂³	1	4	yes	complemented
497	#14524005	C₂³	1	4	yes	complemented
498	#14524005	C₂³	1	4	yes	complemented
499	#14524005	C₂³	1	4	yes	complemented
500	#14524005	C₂³	1	4	yes	complemented
501	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
502	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
503	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
504	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
505	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
506	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
507	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
508	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
509	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
510	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
511	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
512	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
513	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
514	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
515	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
516	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
517	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
518	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
519	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
520	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
521	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
522	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
523	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
524	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
525	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
526	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
527	#14524002	C₂³	1	2	yes	—
528	#14524002	C₂³	1	2	yes	—
529	#14524001	C₂³	1	2	yes	complemented
530	#14524001	C₂³	1	2	yes	complemented
531	#14524001	C₂³	1	4	yes	complemented
532	#14524000	C₂³	1	4	yes	complemented
533	#14524000	C₂³	1	4	yes	complemented
534	#14524000	C₂³	1	4	yes	complemented
535	#14523999	C₂³	1	4	yes	—
536	#14523999	C₂³	1	4	yes	—
537	#14523999	C₂³	1	4	yes	complemented
538	#14523999	C₂³	1	4	yes	complemented
539	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
540	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	—
541	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
542	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
543	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
544	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
545	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
546	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
547	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
548	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
549	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
550	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
551	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
552	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
553	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
554	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
555	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
556	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
557	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
558	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
559	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
560	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
561	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
562	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
563	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
564	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
565	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
566	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
567	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
568	C₄²×D₆₇	C₂³	1	4	yes	complemented
569	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
570	C₂×#41×C₆₇	C₂³	1	2	yes	—
571	C₂×#41×C₆₇	C₂³	1	2	yes	—
572	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
573	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
574	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
575	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
576	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
577	#126×C₆₇	C₂³	1	4	yes	complemented
578	#126×C₆₇	C₂³	1	4	yes	complemented
579	#124×C₆₇	C₂³	1	4	yes	complemented
580	#124×C₆₇	C₂³	1	4	yes	complemented
581	#123×C₆₇	C₂³	1	4	yes	—
582	#123×C₆₇	C₂³	1	4	yes	—
583	#123×C₆₇	C₂³	1	4	yes	complemented
584	#123×C₆₇	C₂³	1	4	yes	complemented
585	#123×C₆₇	C₂³	1	4	yes	complemented
586	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
587	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
588	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
589	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
590	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
591	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
592	#121×C₆₇	C₂³	1	2	yes	—
593	#121×C₆₇	C₂³	1	2	yes	—
594	#121×C₆₇	C₂³	1	2	yes	—
595	#121×C₆₇	C₂³	1	2	yes	—
596	#121×C₆₇	C₂³	1	4	yes	complemented
597	#121×C₆₇	C₂³	1	4	yes	complemented
598	#120×C₆₇	C₂³	1	4	yes	—
599	#120×C₆₇	C₂³	1	4	yes	—
600	#120×C₆₇	C₂³	1	4	yes	—
601	#120×C₆₇	C₂³	1	4	yes	—
602	#120×C₆₇	C₂³	1	4	yes	complemented
603	C₄×D₄×C₆₇	C₂³	1	4	yes	—
604	C₄×D₄×C₆₇	C₂³	1	4	yes	—
605	C₄×D₄×C₆₇	C₂³	1	4	yes	—
606	C₄×D₄×C₆₇	C₂³	1	4	yes	—
607	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
608	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
609	#117×C₆₇	C₂³	1	2	yes	—
610	#117×C₆₇	C₂³	1	2	yes	—
611	#117×C₆₇	C₂³	1	4	yes	complemented
612	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
613	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
614	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
615	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
616	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
617	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
618	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
619	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
620	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
621	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
622	C₂³×D₆₇	—	2	4	no	—
623	C₂³×D₆₇	—	4	2	no	—
624	C₂³×D₆₇	—	4	2	no	—
625	C₂³×D₆₇	—	4	2	no	—
626	C₂³×D₆₇	—	4	2	no	—
627	C₂³×D₆₇	—	4	2	no	—
628	C₂³×D₆₇	C₂⁴	1	2	yes	—
629	C₂³×D₆₇	C₂⁴	1	2	yes	—
630	C₂³×D₆₇	C₂⁴	1	2	yes	—
631	C₂³×D₆₇	C₂⁴	1	2	yes	—
632	C₂³×D₆₇	C₂⁴	1	2	yes	—
633	C₂³×D₆₇	C₂⁴	1	4	yes	—
634	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
635	C₂³×D₆₇	C₂⁴	1	2	yes	—
636	C₂³×D₆₇	C₂⁴	1	4	yes	—
637	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
638	#11761629	—	4	4	no	—
639	#11761629	—	4	8	no	—
640	#11761628	—	4	8	no	—
641	#11761628	—	4	8	no	—
642	#11761628	—	4	8	no	—
643	#11761628	—	4	8	no	—
644	#11761628	—	4	4	no	—
645	#11761628	—	4	4	no	—
646	#11761627	—	2	16	no	—
647	#11761627	—	4	8	no	—
648	#11761627	—	4	4	no	—
649	#11761627	—	4	8	no	—
650	#11761627	—	4	8	no	—
651	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
652	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
653	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
654	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
655	Q₈×D₆₇	—	4	4	no	—
656	C₂×D₂₆₈	—	2	8	no	—
657	C₂×D₂₆₈	—	4	4	no	—
658	C₂×D₂₆₈	—	4	8	no	—
659	C₂×D₂₆₈	—	4	4	no	—
660	C₂×D₂₆₈	—	4	8	no	—
661	C₂×D₂₆₈	—	4	4	no	—
662	C₂×D₂₆₈	C₂⁴	1	4	yes	—
663	C₂×D₂₆₈	C₂⁴	1	4	yes	—
664	C₂×D₂₆₈	C₂⁴	1	4	yes	—
665	C₂×D₂₆₈	C₂⁴	1	4	yes	—
666	C₂×D₂₆₈	C₂⁴	1	4	yes	—
667	C₂×D₂₆₈	C₂⁴	1	4	yes	—
668	C₂×D₂₆₈	C₂⁴	1	4	yes	—
669	C₂×D₂₆₈	C₂⁴	1	4	yes	—
670	C₂×D₂₆₈	C₂⁴	1	2	yes	—
671	C₂×D₂₆₈	C₂⁴	1	2	yes	—
672	C₂×D₂₆₈	C₂⁴	1	4	yes	—
673	C₂×D₂₆₈	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊D₆₇	—	2	8	no	—
675	C₂×C₂²⋊D₆₇	—	2	8	no	—
676	C₂×C₂²⋊D₆₇	—	4	4	no	—
677	C₂×C₂²⋊D₆₇	—	4	8	no	—
678	C₂×C₂²⋊D₆₇	—	4	4	no	—
679	C₂×C₂²⋊D₆₇	—	4	8	no	—
680	C₂×C₂²⋊D₆₇	—	4	4	no	—
681	C₂×C₂²⋊D₆₇	—	4	4	no	—
682	C₂×C₂²⋊D₆₇	—	4	4	no	—
683	C₂×C₂²⋊D₆₇	—	4	8	no	—
684	C₂×C₂²⋊D₆₇	—	4	4	no	—
685	C₂×C₂²⋊D₆₇	—	4	8	no	—
686	C₂×C₂²⋊D₆₇	—	4	4	no	—
687	C₂×C₂²⋊D₆₇	—	4	4	no	—
688	C₂×C₂²⋊D₆₇	—	4	4	no	—
689	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
690	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
691	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
692	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
693	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
694	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
695	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
696	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
698	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
709	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
711	D₄×D₆₇	—	2	16	no	—
712	D₄×D₆₇	—	4	4	no	—
713	D₄×D₆₇	—	4	8	no	—
714	D₄×D₆₇	—	4	8	no	—
715	D₄×D₆₇	—	4	8	no	—
716	D₄×D₆₇	—	4	8	no	—
717	D₄×D₆₇	—	4	8	no	—
718	D₄×D₆₇	—	4	8	no	—
719	D₄×D₆₇	—	4	8	no	—
720	D₄×D₆₇	—	4	8	no	—
721	C₂²×Dic₆₇	—	2	4	no	—
722	C₂²×Dic₆₇	—	4	2	no	—
723	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
724	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
725	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
726	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
727	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
728	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
729	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
730	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
731	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
732	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
733	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
734	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
735	C₂×C₄×D₆₇	—	2	8	no	—
736	C₂×C₄×D₆₇	—	4	4	no	—
737	C₂×C₄×D₆₇	—	4	4	no	—
738	C₂×C₄×D₆₇	—	4	4	no	—
739	C₂×C₄×D₆₇	—	4	4	no	—
740	C₂×C₄×D₆₇	—	4	8	no	—
741	C₂×C₄×D₆₇	—	4	4	no	—
742	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
743	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
744	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
745	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
746	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
747	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
748	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
749	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
750	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
751	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
752	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
753	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
754	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
755	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
756	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
757	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
758	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
759	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
760	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
761	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
762	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
763	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
764	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
765	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
766	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
767	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
768	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
769	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
770	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
771	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
772	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
773	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
774	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
775	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
776	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
777	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
778	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
779	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
780	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
781	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
782	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
783	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
784	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
785	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
786	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
787	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
788	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
789	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
790	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
791	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
792	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
793	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
794	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
795	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
796	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
797	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
798	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
799	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
800	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
801	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
802	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
803	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
804	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
805	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
806	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
807	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
808	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
809	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
810	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
811	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
812	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
813	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
814	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
815	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
816	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
817	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
818	C₄×Dic₆₇	C₂⁴	1	4	yes	—
819	C₄×Dic₆₇	C₂⁴	1	4	yes	—
820	C₄×Dic₆₇	C₂⁴	1	4	yes	—
821	C₄×Dic₆₇	C₂⁴	1	4	yes	—
822	C₄×Dic₆₇	C₂⁴	1	4	yes	—
823	C₄×Dic₆₇	C₂⁴	1	4	yes	—
824	C₂⁴×C₆₇	—	4	2	no	—
825	C₂⁴×C₆₇	—	4	2	no	—
826	C₂⁴×C₆₇	—	4	2	no	—
827	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
828	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
829	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
830	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
831	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
832	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
833	#41×C₆₇	—	4	4	no	—
834	#41×C₆₇	—	4	4	no	—
835	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
836	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
837	C₂×D₄×C₆₇	—	4	4	no	—
838	C₂×D₄×C₆₇	—	4	4	no	—
839	C₂×D₄×C₆₇	—	4	4	no	—
840	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
841	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
842	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
843	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
844	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
845	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
846	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
847	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₆₇	—	4	2	no	—
849	C₂²×C₄×C₆₇	—	4	2	no	—
850	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
851	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
852	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
853	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
854	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
855	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
856	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
857	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
858	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
859	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
860	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
861	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
862	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
863	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
864	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
865	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
866	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
867	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
868	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
869	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
870	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
871	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
872	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
873	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
874	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
875	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
876	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
877	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
878	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
879	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
880	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
881	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
882	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
883	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
884	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
885	C₄²×C₆₇	C₂⁴	1	4	yes	—
886	C₄²×C₆₇	C₂⁴	1	4	yes	—
887	C₂³×C₆₇	—	2	2	no	—
888	C₂³×C₆₇	—	2	2	no	—
889	C₂³×C₆₇	—	2	2	no	—
890	C₂³×C₆₇	—	2	4	no	—
891	C₂³×C₆₇	—	2	4	no	—
892	C₂³×C₆₇	—	2	2	no	—
893	C₂³×C₆₇	—	2	2	no	—
894	C₂³×C₆₇	—	4	2	no	—
895	C₂³×C₆₇	—	4	2	no	—
896	C₂³×C₆₇	—	4	1	no	—
897	C₂³×C₆₇	—	4	2	no	—
898	C₂³×C₆₇	—	4	1	no	—
899	C₂³×C₆₇	—	4	1	no	—
900	C₂³×C₆₇	—	4	2	no	—
901	C₂³×C₆₇	—	4	1	no	—
902	C₂³×C₆₇	—	4	2	no	—
903	C₂³×C₆₇	—	4	2	no	—
904	C₂³×C₆₇	—	4	2	no	—
905	C₂³×C₆₇	—	8	8	no	—
906	C₂³×C₆₇	C₂⁵	1	2	yes	—
907	C₂³×C₆₇	C₂⁵	1	2	yes	—
908	C₂³×C₆₇	C₂⁵	1	4	yes	—
909	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
910	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
911	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
912	C₂²×D₆₇	—	2	4	no	—
913	C₂²×D₆₇	—	2	2	no	—
914	C₂²×D₆₇	—	2	4	no	—
915	C₂²×D₆₇	—	2	4	no	—
916	C₂²×D₆₇	—	2	4	no	—
917	C₂²×D₆₇	—	2	4	no	—
918	C₂²×D₆₇	—	2	4	no	—
919	C₂²×D₆₇	—	2	4	no	—
920	C₂²×D₆₇	—	2	8	no	—
921	C₂²×D₆₇	—	4	1	no	—
922	C₂²×D₆₇	—	4	2	no	—
923	C₂²×D₆₇	—	4	1	no	—
924	C₂²×D₆₇	—	4	1	no	—
925	C₂²×D₆₇	—	4	2	no	—
926	C₂²×D₆₇	—	4	1	no	—
927	C₂²×D₆₇	—	4	4	no	—
928	C₂²×D₆₇	—	4	4	no	—
929	C₂²×D₆₇	—	4	2	no	—
930	C₂²×D₆₇	—	4	2	no	—
931	C₂²×D₆₇	—	4	2	no	—
932	C₂²×D₆₇	—	4	2	no	—
933	C₂²×D₆₇	—	4	2	no	—
934	C₂²×D₆₇	—	4	2	no	—
935	C₂²×D₆₇	—	4	2	no	—
936	C₂²×D₆₇	—	4	4	no	—
937	C₂²×D₆₇	—	4	2	no	—
938	C₂²×D₆₇	—	4	4	no	—
939	C₂²×D₆₇	—	4	4	no	—
940	C₂²×D₆₇	—	4	2	no	—
941	C₂²×D₆₇	—	4	16	no	—
942	C₂²×D₆₇	—	8	8	no	—
943	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	complemented
944	C₂²×D₆₇	C₂⁵	1	4	yes	—
945	C₂²×D₆₇	C₂⁵	1	2	yes	—
946	C₂²×D₆₇	C₂⁵	1	4	yes	—
947	C₂²×D₆₇	C₂⁵	1	2	yes	—
948	Q₈×C₆₇	—	4	2	no	—
949	Q₈×C₆₇	—	4	2	no	—
950	D₄×C₆₇	—	2	8	no	—
951	D₄×C₆₇	—	2	8	no	—
952	D₄×C₆₇	—	2	8	no	—
953	D₄×C₆₇	—	4	4	no	—
954	D₄×C₆₇	—	4	4	no	—
955	D₄×C₆₇	—	4	4	no	—
956	D₄×C₆₇	—	4	2	no	—
957	D₄×C₆₇	—	4	2	no	—
958	C₂×C₄×C₆₇	—	2	4	no	—
959	C₂×C₄×C₆₇	—	2	4	no	—
960	C₂×C₄×C₆₇	—	4	1	no	—
961	C₂×C₄×C₆₇	—	4	2	no	—
962	C₂×C₄×C₆₇	—	4	1	no	—
963	C₂×C₄×C₆₇	—	4	1	no	—
964	C₂×C₄×C₆₇	—	4	2	no	—
965	C₂×C₄×C₆₇	—	4	1	no	—
966	C₂×C₄×C₆₇	—	4	2	no	—
967	C₂×C₄×C₆₇	—	4	2	no	—
968	C₂×C₄×C₆₇	—	4	2	no	—
969	C₂×C₄×C₆₇	—	4	4	no	—
970	C₂×C₄×C₆₇	—	4	4	no	—
971	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
972	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
973	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
974	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
975	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
976	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
977	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
978	C₂²⋊D₆₇	—	2	8	no	—
979	C₂²⋊D₆₇	—	2	8	no	—
980	C₂²⋊D₆₇	—	2	8	no	—
981	C₂²⋊D₆₇	—	2	8	no	—
982	C₂²⋊D₆₇	—	2	8	no	—
983	C₂²⋊D₆₇	—	2	8	no	—
984	C₂²⋊D₆₇	—	2	8	no	—
985	C₂²⋊D₆₇	—	2	8	no	—
986	C₂²⋊D₆₇	—	2	8	no	—
987	C₂²⋊D₆₇	—	4	4	no	—
988	C₂²⋊D₆₇	—	4	4	no	—
989	C₂²⋊D₆₇	—	4	4	no	—
990	C₂²⋊D₆₇	—	4	4	no	—
991	C₂²⋊D₆₇	—	4	4	no	—
992	C₂²⋊D₆₇	—	4	4	no	—
993	C₂²⋊D₆₇	—	4	4	no	—
994	C₂²⋊D₆₇	—	4	4	no	—
995	C₂²⋊D₆₇	—	4	4	no	—
996	C₂²⋊D₆₇	—	4	4	no	—
997	C₂²⋊D₆₇	—	4	4	no	—
998	C₂²⋊D₆₇	—	4	4	no	—
999	C₂²⋊D₆₇	—	4	4	no	—
1000	C₂×Dic₆₇	—	2	2	no	—
1001	C₂×Dic₆₇	—	2	4	no	—
1002	C₂×Dic₆₇	—	2	4	no	—
1003	C₂×Dic₆₇	—	2	4	no	—
1004	C₂×Dic₆₇	—	2	8	no	—
1005	C₂×Dic₆₇	—	4	2	no	—
1006	C₂×Dic₆₇	—	4	2	no	—
1007	C₂×Dic₆₇	—	4	2	no	—
1008	C₂×Dic₆₇	—	4	2	no	—
1009	C₂×Dic₆₇	—	4	2	no	—
1010	C₂×Dic₆₇	—	4	4	no	—
1011	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	complemented
1012	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1013	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1014	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1015	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1016	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1017	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1018	D₂₆₈	—	2	8	no	—
1019	D₂₆₈	—	2	8	no	—
1020	D₂₆₈	—	2	8	no	—
1021	D₂₆₈	—	4	4	no	—
1022	D₂₆₈	—	4	4	no	—
1023	D₂₆₈	—	4	4	no	—
1024	D₂₆₈	—	4	4	no	—
1025	D₂₆₈	—	4	4	no	—
1026	D₂₆₈	—	4	2	no	—
1027	D₂₆₈	—	4	4	no	—
1028	D₂₆₈	—	4	4	no	—
1029	D₂₆₈	—	4	2	no	—
1030	C₄×D₆₇	—	2	8	no	—
1031	C₄×D₆₇	—	2	4	no	—
1032	C₄×D₆₇	—	2	4	no	—
1033	C₄×D₆₇	—	2	4	no	—
1034	C₄×D₆₇	—	2	4	no	—
1035	C₄×D₆₇	—	2	8	no	—
1036	C₄×D₆₇	—	4	2	no	—
1037	C₄×D₆₇	—	4	2	no	—
1038	C₄×D₆₇	—	4	2	no	—
1039	C₄×D₆₇	—	4	2	no	—
1040	C₄×D₆₇	—	4	4	no	—
1041	C₄×D₆₇	—	4	4	no	—
1042	C₄×D₆₇	—	4	4	no	—
1043	C₄×D₆₇	—	4	4	no	—
1044	C₄×D₆₇	—	4	4	no	—
1045	C₄×D₆₇	—	4	4	no	—
1046	C₄×D₆₇	—	4	4	no	—
1047	C₄×D₆₇	—	4	4	no	—
1048	Dic₁₃₄	—	2	8	no	—
1049	Dic₁₃₄	—	4	2	no	—
1050	Dic₁₃₄	—	4	4	no	—
1051	Dic₁₃₄	—	4	2	no	—
1052	C₂²×C₆₇	—	2	8	no	—
1053	C₂²×C₆₇	—	2	1	no	—
1054	C₂²×C₆₇	—	2	1	no	—
1055	C₂²×C₆₇	—	2	1	no	—
1056	C₂²×C₆₇	—	2	1	no	—
1057	C₂²×C₆₇	—	2	1	no	—
1058	C₂²×C₆₇	—	2	1	no	—
1059	C₂²×C₆₇	—	2	4	no	—
1060	C₂²×C₆₇	—	2	2	no	—
1061	C₂²×C₆₇	—	2	2	no	—
1062	C₂²×C₆₇	—	2	4	no	—
1063	C₂²×C₆₇	—	2	2	no	—
1064	C₂²×C₆₇	—	2	2	no	—
1065	C₂²×C₆₇	—	2	2	no	—
1066	C₂²×C₆₇	—	2	4	no	—
1067	C₂²×C₆₇	—	2	2	no	—
1068	C₂²×C₆₇	—	8	4	no	—
1069	C₂²×C₆₇	—	8	4	no	—
1070	C₂²×C₆₇	—	8	2	no	—
1071	C₂²×C₆₇	—	8	2	no	—
1072	C₂²×C₆₇	—	16	2	no	—
1073	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1074	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1075	C₂²×C₆₇	#585	1	2	yes	—
1076	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1077	C₂×D₆₇	—	2	2	no	—
1078	C₂×D₆₇	—	2	2	no	—
1079	C₂×D₆₇	—	2	2	no	—
1080	C₂×D₆₇	—	2	4	no	—
1081	C₂×D₆₇	—	2	4	no	—
1082	C₂×D₆₇	—	2	4	no	—
1083	C₂×D₆₇	—	2	4	no	—
1084	C₂×D₆₇	—	2	2	no	—
1085	C₂×D₆₇	—	2	4	no	—
1086	C₂×D₆₇	—	2	4	no	—
1087	C₂×D₆₇	—	2	2	no	—
1088	C₂×D₆₇	—	4	4	no	—
1089	C₂×D₆₇	—	4	8	no	—
1090	C₂×D₆₇	—	4	8	no	—
1091	C₂×D₆₇	—	4	4	no	—
1092	C₂×D₆₇	—	8	8	no	—
1093	C₂×D₆₇	—	8	4	no	—
1094	C₂×D₆₇	—	8	4	no	—
1095	C₂×D₆₇	—	8	4	no	—
1096	C₂×D₆₇	—	16	4	no	—
1097	C₂×D₆₇	—	16	2	no	—
1098	C₂×D₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
1099	C₄×C₆₇	—	2	4	no	—
1100	C₄×C₆₇	—	2	2	no	—
1101	C₄×C₆₇	—	2	4	no	—
1102	C₄×C₆₇	—	2	2	no	—
1103	C₄×C₆₇	—	2	2	no	—
1104	C₄×C₆₇	—	2	2	no	—
1105	C₄×C₆₇	—	2	4	no	—
1106	Dic₆₇	—	2	4	no	—
1107	Dic₆₇	—	2	4	no	—
1108	Dic₆₇	—	2	4	no	—
1109	Dic₆₇	—	2	2	no	—
1110	Dic₆₇	—	2	4	no	—
1111	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
1112	#62818	—	67	1	no	maximal, Sylow
1113	C₂×C₆₇	—	2	2	no	—
1114	C₂×C₆₇	—	2	2	no	—
1115	C₂×C₆₇	—	2	2	no	—
1116	C₂×C₆₇	—	4	4	no	—
1117	C₂×C₆₇	—	4	2	no	—
1118	C₂×C₆₇	—	4	2	no	—
1119	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1120	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1121	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1122	D₆₇	—	2	4	no	—
1123	D₆₇	—	4	2	no	—
1124	D₆₇	—	4	4	no	—
1125	D₆₇	—	4	4	no	—
1126	#3542	—	67	4	no	—
1127	#3542	—	67	4	no	—
1128	#3537	—	67	2	no	—
1129	#3537	—	67	2	no	—
1130	#3536	—	67	2	no	—
1131	#3536	—	67	2	no	—
1132	#3534	—	67	4	no	—
1133	#3534	—	67	4	no	—
1134	#3519	—	67	4	no	—
1135	#3519	—	67	4	no	—
1136	#3505	—	67	4	no	—
1137	#3496	—	67	4	no	—
1138	#3494	—	67	4	no	—
1139	#3492	—	67	2	no	—
1140	#3490	—	67	2	no	—
1141	#3490	—	67	1	no	—
1142	#3490	D₆₇	1	1	yes	characteristic, complemented
1143	#3488	—	67	4	no	—
1144	#3484	—	67	2	no	—
1145	#3484	—	67	2	no	—
1146	#3484	—	67	2	no	—
1147	C₂×#525	—	67	2	no	—
1148	C₂²×#121	—	67	1	no	—
1149	C₆₇	#62818	1	1	yes	characteristic, complemented, Sylow
1150	C₂×H(5,𝔽₂)	—	67	2	no	—
1151	C₂×H(5,𝔽₂)	—	67	2	no	—
1152	C₂×H(5,𝔽₂)	—	67	2	no	—
1153	C₂²×#41	—	67	2	no	—
1154	C₂³×D₄	—	67	1	no	—
1155	C₂³×D₄	—	67	1	no	—
1156	C₂³×D₄	—	67	1	no	—
1157	C₂⁴×C₄	—	67	1	no	—
1158	#562	—	67	4	no	—
1159	#562	—	67	4	no	—
1160	#562	—	67	4	no	—
1161	#562	—	67	4	no	—
1162	#560	—	67	4	no	—
1163	#560	—	67	4	no	—
1164	#560	—	67	4	no	—
1165	#560	—	67	4	no	—
1166	#555	—	67	4	no	—
1167	#555	—	67	4	no	—
1168	#554	—	67	4	no	—
1169	#554	—	67	4	no	—
1170	#553	—	67	4	no	—
1171	#553	—	67	4	no	—
1172	#553	—	67	4	no	—
1173	#553	—	67	4	no	—
1174	#553	—	67	4	no	—
1175	#553	—	67	4	no	—
1176	#553	—	67	4	no	—
1177	#553	—	67	4	no	—
1178	#553	—	67	4	no	—
1179	#553	—	67	4	no	—
1180	#552	—	67	4	no	—
1181	#552	—	67	4	no	—
1182	#551	—	67	4	no	—
1183	#551	—	67	4	no	—
1184	#551	—	67	4	no	—
1185	#551	—	67	4	no	—
1186	#551	—	67	4	no	—
1187	#551	—	67	4	no	—
1188	#551	C₂×D₆₇	1	4	yes	complemented
1189	#551	C₂×D₆₇	1	4	yes	complemented
1190	#550	—	67	4	no	—
1191	#550	—	67	4	no	—
1192	#548	—	67	4	no	—
1193	#548	—	67	4	no	—
1194	#547	—	67	4	no	—
1195	#547	—	67	4	no	—
1196	#547	—	67	4	no	—
1197	#547	—	67	4	no	—
1198	#546	—	67	4	no	—
1199	#546	—	67	4	no	—
1200	#546	—	67	4	no	—
1201	#546	—	67	4	no	—
1202	#546	—	67	4	no	—
1203	#546	—	67	4	no	—
1204	#546	—	67	4	no	—
1205	#546	—	67	4	no	—
1206	#546	—	67	4	no	—
1207	#546	—	67	4	no	—
1208	#546	—	67	4	no	—
1209	#546	—	67	4	no	—
1210	#546	—	67	4	no	—
1211	#546	—	67	4	no	—
1212	#546	—	67	4	no	—
1213	#546	—	67	4	no	—
1214	#546	—	67	4	no	—
1215	#546	—	67	4	no	—
1216	#546	—	67	4	no	—
1217	#546	—	67	4	no	—
1218	#546	—	67	4	no	—
1219	#546	—	67	4	no	—
1220	#546	—	67	4	no	—
1221	#546	—	67	4	no	—
1222	#546	C₂×D₆₇	1	4	yes	complemented
1223	#546	C₂×D₆₇	1	4	yes	complemented
1224	D₄²	—	67	4	no	—
1225	D₄²	—	67	4	no	—
1226	D₄²	—	67	4	no	—
1227	D₄²	—	67	4	no	—
1228	D₄²	—	67	4	no	—
1229	D₄²	—	67	4	no	—
1230	D₄²	—	67	4	no	—
1231	D₄²	—	67	4	no	—
1232	D₄²	—	67	4	no	—
1233	D₄²	—	67	4	no	—
1234	D₄²	—	67	4	no	—
1235	D₄²	—	67	4	no	—
1236	D₄²	—	67	4	no	—
1237	D₄²	—	67	4	no	—
1238	#544	—	67	2	no	—
1239	#543	—	67	2	no	—
1240	#543	—	67	1	no	—
1241	#543	C₂×D₆₇	1	1	yes	characteristic, complemented
1242	#542	—	67	4	no	—
1243	#542	—	67	4	no	—
1244	#540	—	67	4	no	—
1245	#540	—	67	4	no	—
1246	#540	—	67	4	no	—
1247	#540	—	67	4	no	—
1248	#540	—	67	4	no	—
1249	#540	—	67	4	no	—
1250	#539	—	67	4	no	—
1251	#539	—	67	2	no	—
1252	#539	—	67	4	no	—
1253	#539	—	67	2	no	—
1254	#539	—	67	4	no	—
1255	#538	—	67	4	no	—
1256	#538	—	67	4	no	—
1257	#538	—	67	4	no	—
1258	#538	—	67	4	no	—
1259	#538	—	67	2	no	—
1260	#538	—	67	2	no	—
1261	#538	—	67	4	no	—
1262	#538	—	67	4	no	—
1263	#538	—	67	2	no	—
1264	#538	—	67	2	no	—
1265	#538	—	67	4	no	—
1266	#538	C₂×D₆₇	1	2	yes	complemented
1267	#538	C₂×D₆₇	1	2	yes	complemented
1268	#537	—	67	4	no	—
1269	#537	—	67	4	no	—
1270	#537	—	67	2	no	—
1271	#537	—	67	4	no	—
1272	#537	—	67	4	no	—
1273	#535	—	67	2	no	—
1274	#535	—	67	4	no	—
1275	#535	—	67	4	no	—
1276	#535	—	67	4	no	—
1277	#535	—	67	4	no	—
1278	#535	—	67	2	no	—
1279	#534	—	67	2	no	—
1280	#534	—	67	2	no	—
1281	#534	—	67	4	no	—
1282	#534	—	67	4	no	—
1283	#534	—	67	4	no	—
1284	#534	—	67	2	no	—
1285	#534	—	67	4	no	—
1286	#534	—	67	4	no	—
1287	#534	—	67	4	no	—
1288	#534	—	67	2	no	—
1289	#534	—	67	2	no	—
1290	#534	—	67	1	no	—
1291	#534	C₂×D₆₇	1	1	yes	characteristic, complemented
1292	#532	—	67	4	no	—
1293	#532	—	67	4	no	—
1294	#529	—	67	4	no	—
1295	#529	—	67	4	no	—
1296	#525	—	67	2	no	—
1297	#525	—	67	2	no	—
1298	#525	—	67	2	no	—
1299	#525	—	67	4	no	—
1300	#525	—	67	4	no	—
1301	#525	—	67	2	no	—
1302	#525	—	67	2	no	—
1303	#525	—	67	2	no	—
1304	#525	—	67	2	no	—
1305	#525	—	67	4	no	—
1306	#525	—	67	4	no	—
1307	#525	—	67	4	no	—
1308	#525	—	67	4	no	—
1309	#525	—	67	4	no	—
1310	#525	—	67	2	no	—
1311	#525	C₂×D₆₇	1	2	yes	complemented
1312	#525	C₂×D₆₇	1	2	yes	complemented
1313	C₂×#123	—	67	4	no	—
1314	C₂×C₂²⋊Q₈	—	67	2	no	—
1315	C₂×C₂²⋊Q₈	—	67	2	no	—
1316	C₂×#121	—	67	2	no	—
1317	C₂×#121	—	67	2	no	—
1318	C₂×#121	—	67	4	no	—
1319	C₂×#121	—	67	4	no	—
1320	C₂×#121	—	67	4	no	—
1321	C₂×#121	—	67	2	no	—
1322	C₂×#121	—	67	2	no	—
1323	C₂×#121	—	67	4	no	—
1324	C₂×#121	—	67	2	no	—
1325	C₂×#121	—	67	2	no	—
1326	C₂×#121	—	67	4	no	—
1327	C₂×#121	—	67	4	no	—
1328	C₂×#120	—	67	2	no	—
1329	C₂×#120	—	67	4	no	—
1330	C₂×#120	—	67	4	no	—
1331	C₂×#120	C₂×D₆₇	1	2	yes	complemented
1332	#520	—	67	4	no	—
1333	#518	—	67	4	no	—
1334	#518	—	67	2	no	—
1335	#518	—	67	2	no	—
1336	#518	—	67	2	no	—
1337	#518	—	67	2	no	—
1338	#518	C₂×D₆₇	1	2	yes	complemented
1339	C₂×C₄×D₄	—	67	4	no	—
1340	C₂×C₄×D₄	—	67	4	no	—
1341	C₂×#117	—	67	2	no	—
1342	C₂²×C₄⋊C₄	—	67	1	no	—
1343	C₂²×C₂²⋊C₄	—	67	1	no	—
1344	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1345	C₂⁵	—	67	1	no	—
1346	C₂⁵	—	67	1	no	—
1347	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
1348	H(5,𝔽₂)	—	268	8	no	—
1349	H(5,𝔽₂)	—	268	8	no	—
1350	H(5,𝔽₂)	—	268	8	no	—
1351	C₂×#41	—	268	8	no	—
1352	C₂×#41	—	67	2	no	—
1353	C₂×#41	—	67	4	no	—
1354	C₂×#41	—	67	2	no	—
1355	C₂×#41	—	67	4	no	—
1356	C₂×#41	—	67	4	no	—
1357	C₂×#41	—	67	4	no	—
1358	C₂×#41	—	67	4	no	—
1359	C₂×#41	—	67	2	no	—
1360	C₂×#41	—	67	4	no	—
1361	C₂×#41	—	67	2	no	—
1362	C₂×#41	—	67	4	no	—
1363	C₂×#41	—	67	4	no	—
1364	C₂×#41	—	67	4	no	—
1365	C₂×#41	C₂²×D₆₇	1	2	yes	—
1366	C₂×#41	C₂²×D₆₇	1	2	yes	—
1367	C₂²×Q₈	—	67	2	no	—
1368	C₂²×D₄	—	268	4	no	—
1369	C₂²×D₄	—	268	4	no	—
1370	C₂²×D₄	—	268	4	no	—
1371	C₂²×D₄	—	67	2	no	—
1372	C₂²×D₄	—	67	2	no	—
1373	C₂²×D₄	—	67	2	no	—
1374	C₂²×D₄	—	67	2	no	—
1375	C₂²×D₄	—	67	2	no	—
1376	C₂²×D₄	—	67	2	no	—
1377	C₂²×D₄	—	67	4	no	—
1378	C₂²×D₄	—	67	2	no	—
1379	C₂²×D₄	—	67	2	no	—
1380	C₂²×D₄	—	67	4	no	—
1381	C₂²×D₄	—	67	2	no	—
1382	C₂²×D₄	—	67	4	no	—
1383	C₂²×D₄	—	67	4	no	—
1384	C₂²×D₄	—	67	4	no	—
1385	C₂²×D₄	—	67	4	no	—
1386	C₂²×D₄	—	67	4	no	—
1387	C₂²×D₄	—	67	4	no	—
1388	C₂²×D₄	—	67	4	no	—
1389	C₂²×D₄	—	67	2	no	—
1390	C₂²×D₄	—	67	4	no	—
1391	C₂²×D₄	—	67	4	no	—
1392	C₂²×D₄	—	67	4	no	—
1393	C₂²×D₄	—	67	2	no	—
1394	C₂²×D₄	—	67	2	no	—
1395	C₂²×D₄	—	67	4	no	—
1396	C₂²×D₄	—	67	2	no	—
1397	C₂²×D₄	—	67	2	no	—
1398	C₂²×D₄	—	67	4	no	—
1399	C₂²×D₄	—	67	2	no	—
1400	C₂²×D₄	—	67	4	no	—
1401	C₂²×D₄	—	67	2	no	—
1402	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1403	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1404	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1405	C₂³×C₄	—	268	4	no	—
1406	C₂³×C₄	—	67	1	no	—
1407	C₂³×C₄	—	67	2	no	—
1408	C₂³×C₄	—	67	2	no	—
1409	C₂³×C₄	—	67	4	no	—
1410	C₂³×C₄	—	67	2	no	—
1411	C₂³×C₄	—	67	2	no	—
1412	C₂³×C₄	—	67	2	no	—
1413	C₂³×C₄	—	67	1	no	—
1414	C₂³×C₄	—	67	2	no	—
1415	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1416	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1417	C₄⋊Q₈	—	67	4	no	—
1418	C₄⋊Q₈	—	67	4	no	—
1419	#127	—	67	4	no	—
1420	#127	—	67	4	no	—
1421	#127	—	67	4	no	—
1422	#127	—	67	4	no	—
1423	#127	—	67	4	no	—
1424	#127	—	67	4	no	—
1425	#126	—	67	4	no	—
1426	#126	—	67	4	no	—
1427	#126	—	67	4	no	—
1428	#126	—	67	4	no	—
1429	#126	—	67	4	no	—
1430	#126	—	67	4	no	—
1431	#126	—	67	4	no	—
1432	#126	—	67	4	no	—
1433	#126	—	67	4	no	—
1434	#126	—	67	4	no	—
1435	#126	C₂²×D₆₇	1	4	yes	complemented
1436	#126	C₂²×D₆₇	1	4	yes	complemented
1437	#125	—	67	4	no	—
1438	#125	—	67	4	no	—
1439	#125	—	67	4	no	—
1440	#125	—	67	4	no	—
1441	#125	—	67	4	no	—
1442	#125	—	67	4	no	—
1443	#124	—	67	4	no	—
1444	#124	—	67	4	no	—
1445	#124	—	67	4	no	—
1446	#124	—	67	4	no	—
1447	#124	—	67	4	no	—
1448	#124	—	67	4	no	—
1449	#124	—	67	4	no	—
1450	#124	—	67	4	no	—
1451	#124	—	67	4	no	—
1452	#124	—	67	4	no	—
1453	#124	—	67	4	no	—
1454	#124	—	67	4	no	—
1455	#124	C₂²×D₆₇	1	4	yes	complemented
1456	#124	C₂²×D₆₇	1	4	yes	complemented
1457	#123	—	67	4	no	—
1458	#123	—	67	4	no	—
1459	#123	—	67	4	no	—
1460	#123	—	67	4	no	—
1461	#123	—	67	4	no	—
1462	#123	—	67	4	no	—
1463	#123	—	67	4	no	—
1464	#123	—	67	4	no	—
1465	#123	—	67	4	no	—
1466	#123	—	67	4	no	—
1467	#123	—	67	4	no	—
1468	#123	—	67	4	no	—
1469	#123	—	67	4	no	—
1470	#123	—	67	4	no	—
1471	#123	—	67	4	no	—
1472	#123	—	67	4	no	—
1473	#123	—	67	4	no	—
1474	#123	—	67	4	no	—
1475	#123	—	67	4	no	—
1476	#123	—	67	4	no	—
1477	#123	—	67	4	no	—
1478	#123	—	67	4	no	—
1479	#123	—	67	4	no	—
1480	#123	—	67	4	no	—
1481	#123	—	67	4	no	—
1482	#123	—	67	4	no	—
1483	#123	—	67	4	no	—
1484	#123	—	67	4	no	—
1485	#123	—	67	4	no	—
1486	#123	—	67	4	no	—
1487	#123	—	67	4	no	—
1488	#123	—	67	4	no	—
1489	#123	—	67	4	no	—
1490	#123	—	67	4	no	—
1491	#123	—	67	4	no	—
1492	#123	C₂²×D₆₇	1	4	yes	—
1493	#123	C₂²×D₆₇	1	4	yes	—
1494	#123	C₂²×D₆₇	1	4	yes	complemented
1495	#123	C₂²×D₆₇	1	4	yes	complemented
1496	#123	C₂²×D₆₇	1	4	yes	complemented
1497	C₂²⋊Q₈	—	67	2	no	—
1498	C₂²⋊Q₈	—	67	2	no	—
1499	C₂²⋊Q₈	—	67	4	no	—
1500	C₂²⋊Q₈	—	67	4	no	—
1501	C₂²⋊Q₈	—	67	2	no	—
1502	C₂²⋊Q₈	—	67	2	no	—
1503	C₂²⋊Q₈	—	67	2	no	—
1504	C₂²⋊Q₈	—	67	2	no	—
1505	C₂²⋊Q₈	—	67	4	no	—
1506	C₂²⋊Q₈	—	67	4	no	—
1507	C₂²⋊Q₈	—	67	4	no	—
1508	C₂²⋊Q₈	—	67	2	no	—
1509	C₂²⋊Q₈	—	67	2	no	—
1510	C₂²⋊Q₈	—	67	4	no	—
1511	C₂²⋊Q₈	—	67	4	no	—
1512	C₂²⋊Q₈	—	67	4	no	—
1513	C₂²⋊Q₈	—	67	4	no	—
1514	C₂²⋊Q₈	—	67	4	no	—
1515	C₂²⋊Q₈	—	67	4	no	—
1516	C₂²⋊Q₈	—	67	4	no	—
1517	C₂²⋊Q₈	—	67	4	no	—
1518	C₂²⋊Q₈	—	67	4	no	—
1519	C₂²⋊Q₈	—	67	4	no	—
1520	C₂²⋊Q₈	—	67	4	no	—
1521	C₂²⋊Q₈	—	67	4	no	—
1522	C₂²⋊Q₈	—	67	4	no	—
1523	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1524	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1525	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1526	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1527	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1528	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1529	#121	—	67	2	no	—
1530	#121	—	67	4	no	—
1531	#121	—	67	4	no	—
1532	#121	—	67	2	no	—
1533	#121	—	67	4	no	—
1534	#121	—	67	4	no	—
1535	#121	—	67	4	no	—
1536	#121	—	67	4	no	—
1537	#121	—	67	4	no	—
1538	#121	—	67	4	no	—
1539	#121	—	67	4	no	—
1540	#121	—	67	4	no	—
1541	#121	—	67	4	no	—
1542	#121	—	67	4	no	—
1543	#121	—	67	4	no	—
1544	#121	—	67	4	no	—
1545	#121	—	67	4	no	—
1546	#121	—	67	4	no	—
1547	#121	—	67	4	no	—
1548	#121	—	67	4	no	—
1549	#121	—	67	2	no	—
1550	#121	—	67	2	no	—
1551	#121	—	67	4	no	—
1552	#121	—	67	2	no	—
1553	#121	—	67	2	no	—
1554	#121	—	67	4	no	—
1555	#121	—	67	4	no	—
1556	#121	—	67	4	no	—
1557	#121	—	67	4	no	—
1558	#121	—	67	4	no	—
1559	#121	—	67	4	no	—
1560	#121	—	67	2	no	—
1561	#121	—	67	2	no	—
1562	#121	—	67	4	no	—
1563	#121	—	67	4	no	—
1564	#121	—	67	4	no	—
1565	#121	—	67	4	no	—
1566	#121	—	67	4	no	—
1567	#121	—	67	4	no	—
1568	#121	—	67	4	no	—
1569	#121	—	67	4	no	—
1570	#121	—	67	4	no	—
1571	#121	—	67	4	no	—
1572	#121	—	67	4	no	—
1573	#121	—	67	4	no	—
1574	#121	—	67	4	no	—
1575	#121	—	67	4	no	—
1576	#121	—	67	4	no	—
1577	#121	—	67	4	no	—
1578	#121	—	67	4	no	—
1579	#121	—	67	4	no	—
1580	#121	—	67	4	no	—
1581	#121	—	67	4	no	—
1582	#121	—	67	4	no	—
1583	#121	—	67	4	no	—
1584	#121	—	67	4	no	—
1585	#121	—	67	4	no	—
1586	#121	—	67	4	no	—
1587	#121	—	67	4	no	—
1588	#121	—	67	4	no	—
1589	#121	—	67	4	no	—
1590	#121	—	67	4	no	—
1591	#121	—	67	4	no	—
1592	#121	—	67	4	no	—
1593	#121	—	67	4	no	—
1594	#121	—	67	4	no	—
1595	#121	—	67	4	no	—
1596	#121	—	67	4	no	—
1597	#121	—	67	4	no	—
1598	#121	—	67	4	no	—
1599	#121	—	67	4	no	—
1600	#121	—	67	4	no	—
1601	#121	—	67	4	no	—
1602	#121	—	67	4	no	—
1603	#121	C₂²×D₆₇	1	2	yes	—
1604	#121	C₂²×D₆₇	1	2	yes	—
1605	#121	C₂²×D₆₇	1	2	yes	—
1606	#121	C₂²×D₆₇	1	2	yes	—
1607	#121	C₂²×D₆₇	1	4	yes	complemented
1608	#121	C₂²×D₆₇	1	4	yes	complemented
1609	#120	—	67	4	no	—
1610	#120	—	67	4	no	—
1611	#120	—	67	4	no	—
1612	#120	—	67	4	no	—
1613	#120	—	67	4	no	—
1614	#120	—	67	4	no	—
1615	#120	—	67	4	no	—
1616	#120	—	67	4	no	—
1617	#120	—	67	4	no	—
1618	#120	—	67	4	no	—
1619	#120	—	67	4	no	—
1620	#120	—	67	4	no	—
1621	#120	—	67	4	no	—
1622	#120	—	67	4	no	—
1623	#120	—	67	4	no	—
1624	#120	—	67	4	no	—
1625	#120	—	67	4	no	—
1626	#120	—	67	4	no	—
1627	#120	—	67	4	no	—
1628	#120	—	67	4	no	—
1629	#120	—	67	4	no	—
1630	#120	—	67	4	no	—
1631	#120	—	67	4	no	—
1632	#120	—	67	4	no	—
1633	#120	—	67	4	no	—
1634	#120	—	67	4	no	—
1635	#120	—	67	4	no	—
1636	#120	—	67	4	no	—
1637	#120	—	67	4	no	—
1638	#120	—	67	4	no	—
1639	#120	—	67	4	no	—
1640	#120	C₂²×D₆₇	1	4	yes	—
1641	#120	C₂²×D₆₇	1	4	yes	—
1642	#120	C₂²×D₆₇	1	4	yes	—
1643	#120	C₂²×D₆₇	1	4	yes	—
1644	#120	C₂²×D₆₇	1	4	yes	complemented
1645	C₄×Q₈	—	67	4	no	—
1646	C₄×Q₈	—	67	4	no	—
1647	C₄×D₄	—	67	4	no	—
1648	C₄×D₄	—	67	4	no	—
1649	C₄×D₄	—	67	4	no	—
1650	C₄×D₄	—	67	4	no	—
1651	C₄×D₄	—	67	4	no	—
1652	C₄×D₄	—	67	4	no	—
1653	C₄×D₄	—	67	4	no	—
1654	C₄×D₄	—	67	4	no	—
1655	C₄×D₄	—	67	4	no	—
1656	C₄×D₄	—	67	4	no	—
1657	C₄×D₄	—	67	4	no	—
1658	C₄×D₄	—	67	4	no	—
1659	C₄×D₄	—	67	4	no	—
1660	C₄×D₄	—	67	4	no	—
1661	C₄×D₄	—	67	4	no	—
1662	C₄×D₄	—	67	4	no	—
1663	C₄×D₄	—	67	4	no	—
1664	C₄×D₄	—	67	4	no	—
1665	C₄×D₄	—	67	4	no	—
1666	C₄×D₄	—	67	4	no	—
1667	C₄×D₄	—	67	4	no	—
1668	C₄×D₄	—	67	4	no	—
1669	C₄×D₄	—	67	4	no	—
1670	C₄×D₄	—	67	4	no	—
1671	C₄×D₄	—	67	4	no	—
1672	C₄×D₄	—	67	4	no	—
1673	C₄×D₄	—	67	4	no	—
1674	C₄×D₄	—	67	4	no	—
1675	C₄×D₄	—	67	4	no	—
1676	C₄×D₄	—	67	4	no	—
1677	C₄×D₄	—	67	4	no	—
1678	C₄×D₄	—	67	4	no	—
1679	C₄×D₄	—	67	4	no	—
1680	C₄×D₄	—	67	4	no	—
1681	C₄×D₄	—	67	4	no	—
1682	C₄×D₄	—	67	4	no	—
1683	C₄×D₄	—	67	4	no	—
1684	C₄×D₄	—	67	4	no	—
1685	C₄×D₄	—	67	4	no	—
1686	C₄×D₄	—	67	4	no	—
1687	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1688	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1689	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1690	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1691	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1692	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1693	#117	—	67	2	no	—
1694	#117	—	67	2	no	—
1695	#117	—	67	2	no	—
1696	#117	—	67	2	no	—
1697	#117	—	67	4	no	—
1698	#117	—	67	4	no	—
1699	#117	—	67	4	no	—
1700	#117	—	67	4	no	—
1701	#117	—	67	4	no	—
1702	#117	—	67	4	no	—
1703	#117	—	67	4	no	—
1704	#117	—	67	4	no	—
1705	#117	C₂²×D₆₇	1	2	yes	—
1706	#117	C₂²×D₆₇	1	2	yes	—
1707	#117	C₂²×D₆₇	1	4	yes	complemented
1708	C₂×C₄⋊C₄	—	67	2	no	—
1709	C₂×C₄⋊C₄	—	67	2	no	—
1710	C₂×C₄⋊C₄	—	67	4	no	—
1711	C₂×C₄⋊C₄	—	67	2	no	—
1712	C₂×C₄⋊C₄	—	67	2	no	—
1713	C₂×C₄⋊C₄	—	67	4	no	—
1714	C₂×C₄⋊C₄	—	67	2	no	—
1715	C₂×C₄⋊C₄	—	67	2	no	—
1716	C₂×C₄⋊C₄	—	67	4	no	—
1717	C₂×C₄⋊C₄	—	67	4	no	—
1718	C₂×C₄⋊C₄	—	67	4	no	—
1719	C₂×C₂²⋊C₄	—	67	2	no	—
1720	C₂×C₂²⋊C₄	—	67	2	no	—
1721	C₂×C₂²⋊C₄	—	67	2	no	—
1722	C₂×C₂²⋊C₄	—	67	2	no	—
1723	C₂×C₂²⋊C₄	—	67	2	no	—
1724	C₂×C₂²⋊C₄	—	67	4	no	—
1725	C₂×C₂²⋊C₄	—	67	4	no	—
1726	C₂×C₂²⋊C₄	—	67	4	no	—
1727	C₂×C₂²⋊C₄	—	67	4	no	—
1728	C₂×C₂²⋊C₄	—	67	4	no	—
1729	C₂×C₂²⋊C₄	—	67	4	no	—
1730	C₂×C₂²⋊C₄	—	67	4	no	—
1731	C₂×C₂²⋊C₄	—	67	4	no	—
1732	C₂×C₂²⋊C₄	—	67	4	no	—
1733	C₂×C₂²⋊C₄	—	67	4	no	—
1734	C₂×C₂²⋊C₄	—	67	4	no	—
1735	C₂×C₂²⋊C₄	—	67	4	no	—
1736	C₂×C₂²⋊C₄	—	67	4	no	—
1737	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1738	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1739	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1740	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1741	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1742	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1743	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1744	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1745	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1746	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1747	C₂×C₄²	—	67	4	no	—
1748	C₂⁴	—	4	2	no	—
1749	C₂⁴	—	4	2	no	—
1750	C₂⁴	—	4	2	no	—
1751	C₂⁴	—	268	2	no	—
1752	C₂⁴	—	268	2	no	—
1753	C₂⁴	—	268	2	no	—
1754	C₂⁴	—	268	2	no	—
1755	C₂⁴	—	268	2	no	—
1756	C₂⁴	—	67	4	no	—
1757	C₂⁴	—	67	2	no	—
1758	C₂⁴	—	67	1	no	—
1759	C₂⁴	—	67	2	no	—
1760	C₂⁴	—	67	2	no	—
1761	C₂⁴	—	67	2	no	—
1762	C₂⁴	—	67	4	no	—
1763	C₂⁴	—	67	1	no	—
1764	C₂⁴	—	67	2	no	—
1765	C₂⁴	—	67	2	no	—
1766	C₂⁴	—	134	4	no	—
1767	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1768	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1769	C₂⁴	C₂³×D₆₇	1	2	yes	—
1770	C₂⁴	C₂³×D₆₇	1	2	yes	—
1771	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1772	C₂⁴	C₂³×D₆₇	1	2	yes	—
1773	#41	—	4	4	no	—
1774	#41	—	4	4	no	—
1775	#41	—	268	4	no	—
1776	#41	—	268	4	no	—
1777	#41	—	268	8	no	—
1778	#41	—	268	8	no	—
1779	#41	—	268	8	no	—
1780	#41	—	268	8	no	—
1781	#41	—	268	8	no	—
1782	#41	—	268	8	no	—
1783	#41	—	268	8	no	—
1784	#41	—	268	8	no	—
1785	#41	—	268	4	no	—
1786	#41	—	268	4	no	—
1787	#41	—	134	16	no	—
1788	C₂×Q₈	—	268	4	no	—
1789	C₂×Q₈	—	67	2	no	—
1790	C₂×Q₈	—	67	2	no	—
1791	C₂×Q₈	—	67	4	no	—
1792	C₂×Q₈	—	67	4	no	—
1793	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1794	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1795	C₂×D₄	—	4	4	no	—
1796	C₂×D₄	—	4	4	no	—
1797	C₂×D₄	—	4	4	no	—
1798	C₂×D₄	—	268	4	no	—
1799	C₂×D₄	—	268	4	no	—
1800	C₂×D₄	—	268	8	no	—
1801	C₂×D₄	—	268	4	no	—
1802	C₂×D₄	—	268	8	no	—
1803	C₂×D₄	—	268	8	no	—
1804	C₂×D₄	—	268	8	no	—
1805	C₂×D₄	—	268	8	no	—
1806	C₂×D₄	—	268	8	no	—
1807	C₂×D₄	—	268	8	no	—
1808	C₂×D₄	—	268	8	no	—
1809	C₂×D₄	—	268	8	no	—
1810	C₂×D₄	—	268	4	no	—
1811	C₂×D₄	—	268	4	no	—
1812	C₂×D₄	—	268	4	no	—
1813	C₂×D₄	—	268	4	no	—
1814	C₂×D₄	—	268	8	no	—
1815	C₂×D₄	—	268	4	no	—
1816	C₂×D₄	—	268	8	no	—
1817	C₂×D₄	—	268	4	no	—
1818	C₂×D₄	—	268	8	no	—
1819	C₂×D₄	—	268	4	no	—
1820	C₂×D₄	—	268	4	no	—
1821	C₂×D₄	—	268	4	no	—
1822	C₂×D₄	—	268	8	no	—
1823	C₂×D₄	—	268	4	no	—
1824	C₂×D₄	—	268	8	no	—
1825	C₂×D₄	—	67	4	no	—
1826	C₂×D₄	—	67	4	no	—
1827	C₂×D₄	—	67	4	no	—
1828	C₂×D₄	—	67	4	no	—
1829	C₂×D₄	—	67	4	no	—
1830	C₂×D₄	—	67	4	no	—
1831	C₂×D₄	—	67	4	no	—
1832	C₂×D₄	—	67	4	no	—
1833	C₂×D₄	—	67	4	no	—
1834	C₂×D₄	—	67	4	no	—
1835	C₂×D₄	—	67	4	no	—
1836	C₂×D₄	—	67	4	no	—
1837	C₂×D₄	—	67	4	no	—
1838	C₂×D₄	—	67	4	no	—
1839	C₂×D₄	—	67	4	no	—
1840	C₂×D₄	—	67	4	no	—
1841	C₂×D₄	—	67	4	no	—
1842	C₂×D₄	—	67	4	no	—
1843	C₂×D₄	—	67	4	no	—
1844	C₂×D₄	—	67	4	no	—
1845	C₂×D₄	—	67	4	no	—
1846	C₂×D₄	—	67	4	no	—
1847	C₂×D₄	—	67	4	no	—
1848	C₂×D₄	—	67	4	no	—
1849	C₂×D₄	—	67	2	no	—
1850	C₂×D₄	—	67	4	no	—
1851	C₂×D₄	—	67	4	no	—
1852	C₂×D₄	—	67	4	no	—
1853	C₂×D₄	—	67	2	no	—
1854	C₂×D₄	—	67	4	no	—
1855	C₂×D₄	—	67	4	no	—
1856	C₂×D₄	—	67	4	no	—
1857	C₂×D₄	—	67	4	no	—
1858	C₂×D₄	—	67	4	no	—
1859	C₂×D₄	—	134	8	no	—
1860	C₂×D₄	—	134	8	no	—
1861	C₂×D₄	—	134	16	no	—
1862	C₂×D₄	—	134	8	no	—
1863	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1864	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1865	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1866	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1867	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1868	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1869	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1870	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1871	C₂²×C₄	—	4	2	no	—
1872	C₂²×C₄	—	4	2	no	—
1873	C₂²×C₄	—	268	4	no	—
1874	C₂²×C₄	—	268	4	no	—
1875	C₂²×C₄	—	268	4	no	—
1876	C₂²×C₄	—	268	4	no	—
1877	C₂²×C₄	—	268	4	no	—
1878	C₂²×C₄	—	268	8	no	—
1879	C₂²×C₄	—	268	2	no	—
1880	C₂²×C₄	—	67	2	no	—
1881	C₂²×C₄	—	67	2	no	—
1882	C₂²×C₄	—	67	2	no	—
1883	C₂²×C₄	—	67	2	no	—
1884	C₂²×C₄	—	67	2	no	—
1885	C₂²×C₄	—	67	4	no	—
1886	C₂²×C₄	—	67	4	no	—
1887	C₂²×C₄	—	67	2	no	—
1888	C₂²×C₄	—	67	4	no	—
1889	C₂²×C₄	—	67	2	no	—
1890	C₂²×C₄	—	67	4	no	—
1891	C₂²×C₄	—	67	4	no	—
1892	C₂²×C₄	—	67	4	no	—
1893	C₂²×C₄	—	67	4	no	—
1894	C₂²×C₄	—	67	4	no	—
1895	C₂²×C₄	—	67	4	no	—
1896	C₂²×C₄	—	67	2	no	—
1897	C₂²×C₄	—	67	2	no	—
1898	C₂²×C₄	—	67	1	no	—
1899	C₂²×C₄	—	67	2	no	—
1900	C₂²×C₄	—	67	2	no	—
1901	C₂²×C₄	—	67	2	no	—
1902	C₂²×C₄	—	67	1	no	—
1903	C₂²×C₄	—	67	4	no	—
1904	C₂²×C₄	—	67	2	no	—
1905	C₂²×C₄	—	67	4	no	—
1906	C₂²×C₄	—	67	2	no	—
1907	C₂²×C₄	—	67	4	no	—
1908	C₂²×C₄	—	67	2	no	—
1909	C₂²×C₄	—	67	2	no	—
1910	C₂²×C₄	—	134	8	no	—
1911	C₂²×C₄	—	134	4	no	—
1912	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1913	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1914	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1915	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1916	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1917	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1918	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1919	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1920	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1921	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1922	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1923	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1924	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1925	C₄⋊C₄	—	67	4	no	—
1926	C₄⋊C₄	—	67	4	no	—
1927	C₄⋊C₄	—	67	4	no	—
1928	C₄⋊C₄	—	67	4	no	—
1929	C₄⋊C₄	—	67	4	no	—
1930	C₄⋊C₄	—	67	4	no	—
1931	C₄⋊C₄	—	67	4	no	—
1932	C₄⋊C₄	—	67	2	no	—
1933	C₄⋊C₄	—	67	2	no	—
1934	C₄⋊C₄	—	67	4	no	—
1935	C₄⋊C₄	—	67	4	no	—
1936	C₄⋊C₄	—	67	4	no	—
1937	C₄⋊C₄	—	67	4	no	—
1938	C₄⋊C₄	—	67	4	no	—
1939	C₄⋊C₄	—	67	4	no	—
1940	C₄⋊C₄	—	67	4	no	—
1941	C₄⋊C₄	—	67	4	no	—
1942	C₄⋊C₄	—	67	4	no	—
1943	C₄⋊C₄	—	67	2	no	—
1944	C₄⋊C₄	—	67	4	no	—
1945	C₄⋊C₄	—	67	2	no	—
1946	C₄⋊C₄	—	67	4	no	—
1947	C₄⋊C₄	—	67	4	no	—
1948	C₄⋊C₄	—	67	4	no	—
1949	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1950	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1951	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1952	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1953	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1954	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1955	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1956	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1957	C₂²⋊C₄	—	67	4	no	—
1958	C₂²⋊C₄	—	67	4	no	—
1959	C₂²⋊C₄	—	67	4	no	—
1960	C₂²⋊C₄	—	67	4	no	—
1961	C₂²⋊C₄	—	67	4	no	—
1962	C₂²⋊C₄	—	67	4	no	—
1963	C₂²⋊C₄	—	67	4	no	—
1964	C₂²⋊C₄	—	67	4	no	—
1965	C₂²⋊C₄	—	67	4	no	—
1966	C₂²⋊C₄	—	67	4	no	—
1967	C₂²⋊C₄	—	67	4	no	—
1968	C₂²⋊C₄	—	67	4	no	—
1969	C₂²⋊C₄	—	67	4	no	—
1970	C₂²⋊C₄	—	67	4	no	—
1971	C₂²⋊C₄	—	67	4	no	—
1972	C₂²⋊C₄	—	67	4	no	—
1973	C₂²⋊C₄	—	67	4	no	—
1974	C₂²⋊C₄	—	67	4	no	—
1975	C₂²⋊C₄	—	67	4	no	—
1976	C₂²⋊C₄	—	67	4	no	—
1977	C₂²⋊C₄	—	67	4	no	—
1978	C₂²⋊C₄	—	67	4	no	—
1979	C₂²⋊C₄	—	67	4	no	—
1980	C₂²⋊C₄	—	67	4	no	—
1981	C₂²⋊C₄	—	67	4	no	—
1982	C₂²⋊C₄	—	67	4	no	—
1983	C₂²⋊C₄	—	67	4	no	—
1984	C₂²⋊C₄	—	67	4	no	—
1985	C₂²⋊C₄	—	67	4	no	—
1986	C₂²⋊C₄	—	67	4	no	—
1987	C₂²⋊C₄	—	67	4	no	—
1988	C₂²⋊C₄	—	67	4	no	—
1989	C₂²⋊C₄	—	67	4	no	—
1990	C₂²⋊C₄	—	67	4	no	—
1991	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1992	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1993	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1994	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1995	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1996	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1997	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1998	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1999	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2000	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2001	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2002	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2003	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2004	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2005	C₄²	—	67	4	no	—
2006	C₄²	—	67	4	no	—
2007	C₄²	—	67	4	no	—
2008	C₄²	—	67	4	no	—
2009	C₄²	—	67	4	no	—
2010	C₄²	—	67	4	no	—
2011	C₄²	C₂³×D₆₇	1	4	yes	—
2012	C₄²	C₂³×D₆₇	1	4	yes	—
2013	C₂³	—	2	2	no	—
2014	C₂³	—	2	2	no	—
2015	C₂³	—	2	2	no	—
2016	C₂³	—	2	4	no	—
2017	C₂³	—	2	4	no	—
2018	C₂³	—	2	2	no	—
2019	C₂³	—	2	2	no	—
2020	C₂³	—	4	1	no	—
2021	C₂³	—	4	2	no	—
2022	C₂³	—	4	1	no	—
2023	C₂³	—	4	1	no	—
2024	C₂³	—	4	2	no	—
2025	C₂³	—	4	1	no	—
2026	C₂³	—	4	2	no	—
2027	C₂³	—	4	2	no	—
2028	C₂³	—	4	2	no	—
2029	C₂³	—	4	2	no	—
2030	C₂³	—	4	2	no	—
2031	C₂³	—	8	8	no	—
2032	C₂³	—	268	16	no	—
2033	C₂³	—	268	1	no	—
2034	C₂³	—	268	2	no	—
2035	C₂³	—	268	1	no	—
2036	C₂³	—	268	1	no	—
2037	C₂³	—	268	2	no	—
2038	C₂³	—	268	1	no	—
2039	C₂³	—	268	4	no	—
2040	C₂³	—	268	2	no	—
2041	C₂³	—	268	2	no	—
2042	C₂³	—	268	2	no	—
2043	C₂³	—	268	2	no	—
2044	C₂³	—	268	4	no	—
2045	C₂³	—	268	2	no	—
2046	C₂³	—	268	2	no	—
2047	C₂³	—	268	4	no	—
2048	C₂³	—	268	4	no	—
2049	C₂³	—	268	2	no	—
2050	C₂³	—	268	2	no	—
2051	C₂³	—	268	2	no	—
2052	C₂³	—	268	4	no	—
2053	C₂³	—	536	8	no	—
2054	C₂³	—	67	4	no	—
2055	C₂³	—	67	2	no	—
2056	C₂³	—	67	4	no	—
2057	C₂³	—	67	2	no	—
2058	C₂³	—	67	4	no	—
2059	C₂³	—	134	4	no	—
2060	C₂³	—	134	4	no	—
2061	C₂³	—	134	8	no	—
2062	C₂³	—	134	4	no	—
2063	C₂³	—	134	2	no	—
2064	C₂³	—	134	4	no	—
2065	C₂³	—	134	4	no	—
2066	C₂³	—	134	4	no	—
2067	C₂³	—	134	4	no	—
2068	C₂³	C₂⁴×D₆₇	1	2	yes	—
2069	C₂³	C₂⁴×D₆₇	1	4	yes	—
2070	C₂³	C₂⁴×D₆₇	1	2	yes	—
2071	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2072	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2073	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2074	Q₈	—	4	2	no	—
2075	Q₈	—	4	2	no	—
2076	Q₈	—	268	2	no	—
2077	Q₈	—	268	2	no	—
2078	Q₈	—	268	4	no	—
2079	Q₈	—	134	8	no	—
2080	D₄	—	2	8	no	—
2081	D₄	—	2	8	no	—
2082	D₄	—	2	8	no	—
2083	D₄	—	4	4	no	—
2084	D₄	—	4	4	no	—
2085	D₄	—	4	4	no	—
2086	D₄	—	4	2	no	—
2087	D₄	—	4	2	no	—
2088	D₄	—	268	4	no	—
2089	D₄	—	268	4	no	—
2090	D₄	—	268	2	no	—
2091	D₄	—	268	4	no	—
2092	D₄	—	268	4	no	—
2093	D₄	—	268	2	no	—
2094	D₄	—	268	4	no	—
2095	D₄	—	268	4	no	—
2096	D₄	—	268	4	no	—
2097	D₄	—	268	4	no	—
2098	D₄	—	268	4	no	—
2099	D₄	—	268	4	no	—
2100	D₄	—	268	4	no	—
2101	D₄	—	268	4	no	—
2102	D₄	—	268	4	no	—
2103	D₄	—	268	4	no	—
2104	D₄	—	268	4	no	—
2105	D₄	—	268	4	no	—
2106	D₄	—	268	4	no	—
2107	D₄	—	268	4	no	—
2108	D₄	—	268	4	no	—
2109	D₄	—	268	4	no	—
2110	D₄	—	134	8	no	—
2111	D₄	—	134	8	no	—
2112	D₄	—	134	8	no	—
2113	D₄	—	134	8	no	—
2114	D₄	—	134	8	no	—
2115	D₄	—	134	8	no	—
2116	D₄	—	134	8	no	—
2117	D₄	—	134	8	no	—
2118	D₄	—	134	8	no	—
2119	D₄	—	134	8	no	—
2120	D₄	—	134	8	no	—
2121	D₄	—	134	8	no	—
2122	C₂×C₄	—	2	4	no	—
2123	C₂×C₄	—	2	4	no	—
2124	C₂×C₄	—	4	1	no	—
2125	C₂×C₄	—	4	2	no	—
2126	C₂×C₄	—	4	1	no	—
2127	C₂×C₄	—	4	1	no	—
2128	C₂×C₄	—	4	2	no	—
2129	C₂×C₄	—	4	1	no	—
2130	C₂×C₄	—	4	4	no	—
2131	C₂×C₄	—	4	2	no	—
2132	C₂×C₄	—	4	2	no	—
2133	C₂×C₄	—	4	2	no	—
2134	C₂×C₄	—	4	4	no	—
2135	C₂×C₄	—	268	2	no	—
2136	C₂×C₄	—	268	2	no	—
2137	C₂×C₄	—	268	2	no	—
2138	C₂×C₄	—	268	2	no	—
2139	C₂×C₄	—	268	4	no	—
2140	C₂×C₄	—	268	4	no	—
2141	C₂×C₄	—	268	4	no	—
2142	C₂×C₄	—	268	4	no	—
2143	C₂×C₄	—	268	4	no	—
2144	C₂×C₄	—	268	4	no	—
2145	C₂×C₄	—	268	4	no	—
2146	C₂×C₄	—	268	4	no	—
2147	C₂×C₄	—	268	2	no	—
2148	C₂×C₄	—	268	2	no	—
2149	C₂×C₄	—	268	4	no	—
2150	C₂×C₄	—	268	2	no	—
2151	C₂×C₄	—	268	2	no	—
2152	C₂×C₄	—	268	2	no	—
2153	C₂×C₄	—	67	4	no	—
2154	C₂×C₄	—	67	2	no	—
2155	C₂×C₄	—	67	4	no	—
2156	C₂×C₄	—	67	4	no	—
2157	C₂×C₄	—	67	4	no	—
2158	C₂×C₄	—	67	4	no	—
2159	C₂×C₄	—	67	2	no	—
2160	C₂×C₄	—	134	4	no	—
2161	C₂×C₄	—	134	4	no	—
2162	C₂×C₄	—	134	4	no	—
2163	C₂×C₄	—	134	4	no	—
2164	C₂×C₄	—	134	8	no	—
2165	C₂×C₄	—	134	8	no	—
2166	C₂×C₄	—	134	4	no	—
2167	C₂×C₄	—	134	4	no	—
2168	C₂×C₄	—	134	8	no	—
2169	C₂×C₄	—	134	2	no	—
2170	C₂×C₄	—	134	4	no	—
2171	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2172	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2173	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2174	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2175	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2176	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2177	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2178	C₂²	—	2	8	no	—
2179	C₂²	—	2	1	no	—
2180	C₂²	—	2	1	no	—
2181	C₂²	—	2	1	no	—
2182	C₂²	—	2	1	no	—
2183	C₂²	—	2	1	no	—
2184	C₂²	—	2	1	no	—
2185	C₂²	—	2	4	no	—
2186	C₂²	—	2	4	no	—
2187	C₂²	—	2	2	no	—
2188	C₂²	—	2	2	no	—
2189	C₂²	—	2	2	no	—
2190	C₂²	—	2	2	no	—
2191	C₂²	—	2	2	no	—
2192	C₂²	—	2	2	no	—
2193	C₂²	—	2	4	no	—
2194	C₂²	—	8	4	no	—
2195	C₂²	—	8	4	no	—
2196	C₂²	—	8	2	no	—
2197	C₂²	—	8	2	no	—
2198	C₂²	—	268	4	no	—
2199	C₂²	—	268	8	no	—
2200	C₂²	—	268	8	no	—
2201	C₂²	—	268	4	no	—
2202	C₂²	—	16	2	no	—
2203	C₂²	—	536	4	no	—
2204	C₂²	—	536	4	no	—
2205	C₂²	—	536	4	no	—
2206	C₂²	—	536	8	no	—
2207	C₂²	—	1072	2	no	—
2208	C₂²	—	1072	4	no	—
2209	C₂²	—	67	4	no	—
2210	C₂²	—	134	2	no	—
2211	C₂²	—	134	4	no	—
2212	C₂²	—	134	4	no	—
2213	C₂²	—	134	4	no	—
2214	C₂²	—	134	4	no	—
2215	C₂²	—	134	2	no	—
2216	C₂²	—	134	4	no	—
2217	C₂²	—	134	2	no	—
2218	C₂²	—	134	4	no	—
2219	C₂²	—	134	2	no	—
2220	C₂²	—	134	2	no	—
2221	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2222	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2223	C₂²	#16864232	1	2	yes	—
2224	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2225	C₄	—	2	2	no	—
2226	C₄	—	2	2	no	—
2227	C₄	—	2	2	no	—
2228	C₄	—	2	2	no	—
2229	C₄	—	2	4	no	—
2230	C₄	—	2	4	no	—
2231	C₄	—	2	4	no	—
2232	C₄	—	67	4	no	—
2233	C₄	—	134	2	no	—
2234	C₄	—	134	4	no	—
2235	C₄	—	134	4	no	—
2236	C₄	—	134	4	no	—
2237	C₄	—	134	4	no	—
2238	C₂	—	2	2	no	—
2239	C₂	—	2	2	no	—
2240	C₂	—	2	2	no	—
2241	C₂	—	4	2	no	—
2242	C₂	—	4	2	no	—
2243	C₂	—	4	4	no	—
2244	C₂	—	268	2	no	—
2245	C₂	—	268	4	no	—
2246	C₂	—	268	4	no	—
2247	C₂	—	134	4	no	—
2248	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2249	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2250	C₂	C₂×#16864232	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3490	C₂
hypercenter	#3490	D₆₇
hypocenter	C₆₇	#62818
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #22574518	C₂	semidirect
2. #22574510	C₂	semidirect
3. #22574446	C₂	semidirect
4. #22574441	C₂	semidirect
5. #22574435	C₂	semidirect
6. #22574430	C₂	semidirect
7. #22574402	C₂	semidirect
8. #22574391	C₂	semidirect
9. #22574233	C₂	semidirect
10. #22574231	C₂	semidirect
11. #22574040	C₂	semidirect
12. #22573969	C₂	semidirect
13. #22573935	C₂	semidirect
14. #22573910	C₂	semidirect
15. #22573898	C₂	semidirect
16. #22573892	C₂	semidirect
17. #22573872	C₂	semidirect
18. #22573842	C₂	semidirect
19. #22573838	C₂	semidirect
20. #22573838	C₂	semidirect
21. #525×D₆₇	C₂	semidirect
22. C₂²×#14524016	C₂	semidirect
23. C₆₇×#3490	C₂	semidirect
24. C₂×#14524089	C₂²	semidirect
25. C₂×#14524088	C₂²	semidirect
26. C₂×#14524088	C₂²	semidirect
27. C₂×#41×D₆₇	C₂²	semidirect
28. C₂³×D₂₆₈	C₂²	semidirect
29. C₂³×C₂²⋊D₆₇	C₂²	semidirect
30. C₂³×C₂²⋊D₆₇	C₂²	semidirect
31. C₂³×C₄×D₆₇	C₂²	semidirect
32. #16864143	C₂²	semidirect
33. #16864142	C₂²	semidirect
34. #16864142	C₂²	semidirect
35. #16864140	C₂²	semidirect
36. #16864137	C₂²	semidirect
37. #16864136	C₂²	semidirect
38. #16864135	C₂²	semidirect
39. #16864134	C₂²	semidirect
40. #16864109	C₂²	semidirect
41. #16864108	C₂²	semidirect
42. #16864105	C₂²	semidirect
43. #16864100	C₂²	semidirect
44. #16864097	C₂²	semidirect
45. #16864097	C₂²	semidirect
46. #16864097	C₂²	semidirect
47. #16864096	C₂²	semidirect
48. #16864095	C₂²	semidirect
49. #16864095	C₂²	semidirect
50. #16864091	C₂²	semidirect
51. #16864091	C₂²	semidirect
52. #16864090	C₂²	semidirect
53. #16864089	C₂²	semidirect
54. #16864083	C₂²	semidirect
55. #16864079	C₂²	semidirect
56. #16864075	C₂²	semidirect
57. #16864073	C₂²	semidirect
58. #16864072	C₂²	semidirect
59. #16864072	C₂²	semidirect
60. #16864070	C₂²	semidirect
61. #16864069	C₂²	semidirect
62. #16864067	C₂²	semidirect
63. #16864064	C₂²	semidirect
64. #16864056	C₂²	semidirect
65. #16864054	C₂²	semidirect
66. #16864048	C₂²	semidirect
67. #16864045	C₂²	semidirect
68. #16864044	C₂²	semidirect
69. #16864044	C₂²	semidirect
70. #16864042	C₂²	semidirect
71. #16864042	C₂²	semidirect
72. #16864042	C₂²	semidirect
73. #16864041	C₂²	semidirect
74. #16864039	C₂²	semidirect
75. #16864038	C₂²	semidirect
76. #16864038	C₂²	semidirect
77. #16864037	C₂²	semidirect
78. #16864037	C₂²	semidirect
79. #16864036	C₂²	semidirect
80. #16864036	C₂²	semidirect
81. #16864036	C₂²	semidirect
82. #16864036	C₂²	semidirect
83. #16864036	C₂²	semidirect
84. #16864036	C₂²	semidirect
85. #16864036	C₂²	semidirect
86. #16864036	C₂²	semidirect
87. #16864035	C₂²	semidirect
88. #16864035	C₂²	semidirect
89. #16864034	C₂²	semidirect
90. #16864033	C₂²	semidirect
91. #16864033	C₂²	semidirect
92. #16864033	C₂²	semidirect
93. #16864033	C₂²	semidirect
94. D₄×D₂₆₈	C₂²	semidirect
95. D₄×D₂₆₈	C₂²	semidirect
96. #16864030	C₂²	semidirect
97. #16864030	C₂²	semidirect
98. #16864030	C₂²	semidirect
99. D₄×C₂²⋊D₆₇	C₂²	semidirect
100. D₄×C₂²⋊D₆₇	C₂²	semidirect
101. D₄×C₂²⋊D₆₇	C₂²	semidirect
102. D₄×C₂²⋊D₆₇	C₂²	semidirect
103. #16864028	C₂²	semidirect
104. #16864028	C₂²	semidirect
105. #16864028	C₂²	semidirect
106. #16864028	C₂²	semidirect
107. #16864028	C₂²	semidirect
108. #16864025	C₂²	semidirect
109. #16864022	C₂²	semidirect
110. #16864021	C₂²	semidirect
111. #16864016	C₂²	semidirect
112. #16864012	C₂²	semidirect
113. #16864001	C₂²	semidirect
114. #16863998	C₂²	semidirect
115. #16863998	C₂²	semidirect
116. #16863998	C₂²	semidirect
117. #16863997	C₂²	semidirect
118. #16863996	C₂²	semidirect
119. #16863995	C₂²	semidirect
120. #16863992	C₂²	semidirect
121. #16863991	C₂²	semidirect
122. #16863988	C₂²	semidirect
123. #16863987	C₂²	semidirect
124. #16863986	C₂²	semidirect
125. #16863985	C₂²	semidirect
126. #16863984	C₂²	semidirect
127. #16863984	C₂²	semidirect
128. #16863984	C₂²	semidirect
129. #16863983	C₂²	semidirect
130. #16863982	C₂²	semidirect
131. #16863980	C₂²	semidirect
132. #16863980	C₂²	semidirect
133. #16863979	C₂²	semidirect
134. #16863979	C₂²	semidirect
135. #16863976	C₂²	semidirect
136. #16863976	C₂²	semidirect
137. #16863975	C₂²	semidirect
138. #16863973	C₂²	semidirect
139. #16863973	C₂²	semidirect
140. #16863965	C₂²	semidirect
141. #16863964	C₂²	semidirect
142. #16863961	C₂²	semidirect
143. #16863961	C₂²	semidirect
144. #16863961	C₂²	semidirect
145. #16863960	C₂²	semidirect
146. #16863958	C₂²	semidirect
147. #16863958	C₂²	semidirect
148. #16863958	C₂²	semidirect
149. #16863957	C₂²	semidirect
150. #16863957	C₂²	semidirect
151. #16863957	C₂²	semidirect
152. #16863956	C₂²	semidirect
153. #16863956	C₂²	semidirect
154. #16863956	C₂²	semidirect
155. #16863955	C₂²	semidirect
156. #16863955	C₂²	semidirect
157. #16863954	C₂²	semidirect
158. #16863945	C₂²	semidirect
159. #16863943	C₂²	semidirect
160. #16863929	C₂²	semidirect
161. #16863924	C₂²	semidirect
162. #16863909	C₂²	semidirect
163. #16863909	C₂²	semidirect
164. #16863908	C₂²	semidirect
165. #16863907	C₂²	semidirect
166. #16863907	C₂²	semidirect
167. #16863906	C₂²	semidirect
168. #16863906	C₂²	semidirect
169. #16863905	C₂²	semidirect
170. #16863905	C₂²	semidirect
171. #16863905	C₂²	semidirect
172. #16863904	C₂²	semidirect
173. #16863904	C₂²	semidirect
174. #16863903	C₂²	semidirect
175. #16863902	C₂²	semidirect
176. #16863902	C₂²	semidirect
177. #123×D₆₇	C₂²	semidirect
178. C₂²⋊Q₈×D₆₇	C₂²	semidirect
179. C₂²⋊Q₈×D₆₇	C₂²	semidirect
180. C₂×#14524016	C₂²	semidirect
181. C₂×#14524016	C₂²	semidirect
182. C₂×#14524016	C₂²	semidirect
183. C₂×#14524016	C₂²	semidirect
184. C₂×#14524016	C₂²	semidirect
185. C₂×#14524016	C₂²	semidirect
186. C₂×#14524016	C₂²	semidirect
187. C₂×#14524016	C₂²	semidirect
188. C₂×#14524016	C₂²	semidirect
189. #121×D₆₇	C₂²	semidirect
190. #121×D₆₇	C₂²	semidirect
191. #121×D₆₇	C₂²	semidirect
192. C₂×#14524012	C₂²	semidirect
193. #120×D₆₇	C₂²	semidirect
194. #120×D₆₇	C₂²	semidirect
195. #16863875	C₂²	semidirect
196. #16863870	C₂²	semidirect
197. #16863869	C₂²	semidirect
198. #16863869	C₂²	semidirect
199. #16863869	C₂²	semidirect
200. #16863868	C₂²	semidirect
201. C₄×D₄×D₆₇	C₂²	semidirect
202. C₄×D₄×D₆₇	C₂²	semidirect
203. #117×D₆₇	C₂²	semidirect
204. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
205. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
206. #551×C₆₇	C₂²	semidirect
207. #551×C₆₇	C₂²	semidirect
208. #546×C₆₇	C₂²	semidirect
209. #546×C₆₇	C₂²	semidirect
210. #543×C₆₇	C₂²	semidirect
211. #538×C₆₇	C₂²	semidirect
212. #538×C₆₇	C₂²	semidirect
213. #534×C₆₇	C₂²	semidirect
214. #525×C₆₇	C₂²	semidirect
215. #525×C₆₇	C₂²	semidirect
216. C₂×#120×C₆₇	C₂²	semidirect
217. #518×C₆₇	C₂²	semidirect
218. C₂²×C₂²⋊C₄×C₆₇	C₂²	semidirect
224. C₂×#11761629	C₂³	semidirect
225. C₂×#11761629	C₂³	semidirect
228. C₂×#11761628	C₂³	semidirect
229. C₂×#11761628	C₂³	semidirect
230. C₂×#11761628	C₂³	semidirect
231. C₂×#11761628	C₂³	semidirect
234. C₂×#11761627	C₂³	semidirect
235. C₂×#11761627	C₂³	semidirect
236. C₂×#11761627	C₂³	semidirect
238. C₂×Q₈×D₆₇	C₂³	semidirect
245. C₂²×D₂₆₈	C₂³	semidirect
261. C₂²×C₂²⋊D₆₇	C₂³	semidirect
262. C₂²×C₂²⋊D₆₇	C₂³	semidirect
269. C₂×D₄×D₆₇	C₂³	semidirect
270. C₂×D₄×D₆₇	C₂³	semidirect
271. C₂×D₄×D₆₇	C₂³	semidirect
272. C₂×D₄×D₆₇	C₂³	semidirect
282. C₂²×C₄×D₆₇	C₂³	semidirect
283. #14524042	C₂³	semidirect
284. #14524041	C₂³	semidirect
285. #14524040	C₂³	semidirect
286. #14524039	C₂³	semidirect
287. #14524039	C₂³	semidirect
288. #14524039	C₂³	semidirect
289. #14524039	C₂³	semidirect
290. #14524039	C₂³	semidirect
291. #14524038	C₂³	semidirect
292. #14524038	C₂³	semidirect
293. #14524038	C₂³	semidirect
294. #14524038	C₂³	semidirect
295. #14524037	C₂³	semidirect
296. #14524037	C₂³	semidirect
297. #14524036	C₂³	semidirect
298. #14524036	C₂³	semidirect
299. #14524036	C₂³	semidirect
300. #14524036	C₂³	semidirect
301. #14524035	C₂³	semidirect
302. #14524034	C₂³	semidirect
303. #14524033	C₂³	semidirect
304. #14524033	C₂³	semidirect
305. #14524033	C₂³	semidirect
306. #14524033	C₂³	semidirect
307. #14524032	C₂³	semidirect
308. #14524032	C₂³	semidirect
309. #14524031	C₂³	semidirect
310. #14524031	C₂³	semidirect
311. #14524029	C₂³	semidirect
312. #14524029	C₂³	semidirect
313. #14524029	C₂³	semidirect
314. #14524029	C₂³	semidirect
315. #14524029	C₂³	semidirect
316. #14524029	C₂³	semidirect
317. #14524029	C₂³	semidirect
318. #14524029	C₂³	semidirect
319. #14524028	C₂³	semidirect
320. #14524028	C₂³	semidirect
321. #14524028	C₂³	semidirect
322. #14524028	C₂³	semidirect
323. #14524028	C₂³	semidirect
324. #14524028	C₂³	semidirect
325. #14524028	C₂³	semidirect
326. #14524028	C₂³	semidirect
327. #14524028	C₂³	semidirect
328. #14524028	C₂³	semidirect
331. #14524027	C₂³	semidirect
332. #14524027	C₂³	semidirect
333. #14524027	C₂³	semidirect
334. #14524027	C₂³	semidirect
337. #14524026	C₂³	semidirect
338. #14524026	C₂³	semidirect
339. #14524026	C₂³	semidirect
340. #14524026	C₂³	semidirect
341. #14524025	C₂³	semidirect
342. #14524025	C₂³	semidirect
343. #14524025	C₂³	semidirect
344. #14524025	C₂³	semidirect
345. #14524025	C₂³	semidirect
346. #14524025	C₂³	semidirect
347. #14524025	C₂³	semidirect
348. #14524025	C₂³	semidirect
349. #14524025	C₂³	semidirect
350. #14524025	C₂³	semidirect
353. #14524024	C₂³	semidirect
354. #14524023	C₂³	semidirect
355. #14524023	C₂³	semidirect
356. #14524023	C₂³	semidirect
361. #14524022	C₂³	semidirect
362. #14524021	C₂³	semidirect
363. #14524021	C₂³	semidirect
364. #14524021	C₂³	semidirect
365. #14524021	C₂³	semidirect
366. #14524021	C₂³	semidirect
367. #14524021	C₂³	semidirect
372. #14524020	C₂³	semidirect
373. #14524020	C₂³	semidirect
374. #14524020	C₂³	semidirect
375. #14524020	C₂³	semidirect
376. #14524019	C₂³	semidirect
377. #14524019	C₂³	semidirect
378. #14524019	C₂³	semidirect
379. #14524019	C₂³	semidirect
380. #14524018	C₂³	semidirect
381. #14524018	C₂³	semidirect
382. #14524018	C₂³	semidirect
383. #14524018	C₂³	semidirect
384. #14524018	C₂³	semidirect
385. #14524018	C₂³	semidirect
386. #14524018	C₂³	semidirect
387. #14524018	C₂³	semidirect
388. #14524018	C₂³	semidirect
393. #14524017	C₂³	semidirect
394. #14524017	C₂³	semidirect
395. #14524017	C₂³	semidirect
396. #14524017	C₂³	semidirect
397. #14524017	C₂³	semidirect
398. #14524017	C₂³	semidirect
399. #14524017	C₂³	semidirect
416. #14524016	C₂³	semidirect
417. #14524016	C₂³	semidirect
418. #14524016	C₂³	semidirect
419. #14524016	C₂³	semidirect
420. #14524016	C₂³	semidirect
421. #14524016	C₂³	semidirect
422. #14524016	C₂³	semidirect
423. #14524016	C₂³	semidirect
424. #14524016	C₂³	semidirect
425. #14524016	C₂³	semidirect
426. #14524016	C₂³	semidirect
427. #14524016	C₂³	semidirect
428. #14524016	C₂³	semidirect
429. #14524016	C₂³	semidirect
430. #14524016	C₂³	semidirect
431. #14524016	C₂³	semidirect
432. #14524016	C₂³	semidirect
433. #14524016	C₂³	semidirect
438. #14524015	C₂³	semidirect
439. #14524015	C₂³	semidirect
440. #14524015	C₂³	semidirect
441. #14524015	C₂³	semidirect
442. #14524015	C₂³	semidirect
443. #14524015	C₂³	semidirect
444. #14524015	C₂³	semidirect
445. #14524015	C₂³	semidirect
446. #14524015	C₂³	semidirect
447. #14524015	C₂³	semidirect
448. #14524014	C₂³	semidirect
449. #14524014	C₂³	semidirect
450. #14524014	C₂³	semidirect
451. #14524014	C₂³	semidirect
452. #14524014	C₂³	semidirect
453. #14524014	C₂³	semidirect
460. #14524013	C₂³	semidirect
461. #14524013	C₂³	semidirect
462. #14524013	C₂³	semidirect
463. #14524013	C₂³	semidirect
464. #14524013	C₂³	semidirect
465. #14524013	C₂³	semidirect
466. #14524013	C₂³	semidirect
467. #14524013	C₂³	semidirect
472. #14524012	C₂³	semidirect
473. #14524012	C₂³	semidirect
480. #14524011	C₂³	semidirect
481. #14524011	C₂³	semidirect
482. #14524011	C₂³	semidirect
483. #14524011	C₂³	semidirect
484. #14524011	C₂³	semidirect
485. C₄×Dic₁₃₄	C₂³	semidirect
486. #14524008	C₂³	semidirect
487. C₄×D₂₆₈	C₂³	semidirect
488. C₄×D₂₆₈	C₂³	semidirect
489. C₄×D₂₆₈	C₂³	semidirect
490. C₄×D₂₆₈	C₂³	semidirect
491. C₄×D₂₆₈	C₂³	semidirect
496. #14524005	C₂³	semidirect
497. #14524005	C₂³	semidirect
498. #14524005	C₂³	semidirect
499. #14524005	C₂³	semidirect
500. #14524005	C₂³	semidirect
505. C₄×C₂²⋊D₆₇	C₂³	semidirect
506. C₄×C₂²⋊D₆₇	C₂³	semidirect
507. C₄×C₂²⋊D₆₇	C₂³	semidirect
508. C₄×C₂²⋊D₆₇	C₂³	semidirect
509. C₄×C₂²⋊D₆₇	C₂³	semidirect
510. C₄×C₂²⋊D₆₇	C₂³	semidirect
511. C₄×C₂²⋊D₆₇	C₂³	semidirect
512. C₄×C₂²⋊D₆₇	C₂³	semidirect
517. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
518. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
519. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
520. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
521. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
522. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
523. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
524. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
525. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
526. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
529. #14524001	C₂³	semidirect
530. #14524001	C₂³	semidirect
531. #14524001	C₂³	semidirect
532. #14524000	C₂³	semidirect
533. #14524000	C₂³	semidirect
534. #14524000	C₂³	semidirect
537. #14523999	C₂³	semidirect
538. #14523999	C₂³	semidirect
544. C₂×Dic₆₇⋊C₄	C₂³	semidirect
545. C₄⋊C₄×D₆₇	C₂³	semidirect
546. C₄⋊C₄×D₆₇	C₂³	semidirect
547. C₄⋊C₄×D₆₇	C₂³	semidirect
548. C₄⋊C₄×D₆₇	C₂³	semidirect
549. C₄⋊C₄×D₆₇	C₂³	semidirect
557. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
564. C₂²⋊C₄×D₆₇	C₂³	semidirect
565. C₂²⋊C₄×D₆₇	C₂³	semidirect
566. C₂²⋊C₄×D₆₇	C₂³	semidirect
567. C₂²⋊C₄×D₆₇	C₂³	semidirect
568. C₄²×D₆₇	C₂³	semidirect
577. #126×C₆₇	C₂³	semidirect
578. #126×C₆₇	C₂³	semidirect
579. #124×C₆₇	C₂³	semidirect
580. #124×C₆₇	C₂³	semidirect
583. #123×C₆₇	C₂³	semidirect
584. #123×C₆₇	C₂³	semidirect
585. #123×C₆₇	C₂³	semidirect
590. C₂²⋊Q₈×C₆₇	C₂³	semidirect
591. C₂²⋊Q₈×C₆₇	C₂³	semidirect
596. #121×C₆₇	C₂³	semidirect
597. #121×C₆₇	C₂³	semidirect
602. #120×C₆₇	C₂³	semidirect
607. C₄×D₄×C₆₇	C₂³	semidirect
608. C₄×D₄×C₆₇	C₂³	semidirect
611. #117×C₆₇	C₂³	semidirect
621. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
943. C₂²×D₆₇	H(5,𝔽₂)	semidirect
1011. C₂×Dic₆₇	H(5,𝔽₂)	semidirect
1142. #3490	D₆₇	semidirect
1149. C₆₇	#62818	semidirect
1188. #551	C₂×D₆₇	semidirect
1189. #551	C₂×D₆₇	semidirect
1222. #546	C₂×D₆₇	semidirect
1223. #546	C₂×D₆₇	semidirect
1241. #543	C₂×D₆₇	semidirect
1266. #538	C₂×D₆₇	semidirect
1267. #538	C₂×D₆₇	semidirect
1291. #534	C₂×D₆₇	semidirect
1311. #525	C₂×D₆₇	semidirect
1312. #525	C₂×D₆₇	semidirect
1331. C₂×#120	C₂×D₆₇	semidirect
1338. #518	C₂×D₆₇	semidirect
1344. C₂²×C₂²⋊C₄	C₂×D₆₇	semidirect
1435. #126	C₂²×D₆₇	semidirect
1436. #126	C₂²×D₆₇	semidirect
1455. #124	C₂²×D₆₇	semidirect
1456. #124	C₂²×D₆₇	semidirect
1494. #123	C₂²×D₆₇	semidirect
1495. #123	C₂²×D₆₇	semidirect
1496. #123	C₂²×D₆₇	semidirect
1527. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1528. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1607. #121	C₂²×D₆₇	semidirect
1608. #121	C₂²×D₆₇	semidirect
1644. #120	C₂²×D₆₇	semidirect
1691. C₄×D₄	C₂²×D₆₇	semidirect
1692. C₄×D₄	C₂²×D₆₇	semidirect
1707. #117	C₂²×D₆₇	semidirect
1746. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574518	2
#22574510	2
#22574446	2
#22574441	2
#22574435	2
#22574430	2
#22574402	2
#22574391	2
#22574233	2
#22574231	2
#22574040	2
#22573969	2
#22573935	2
#22573910	2
#22573898	2
#22573892	2
#22573872	2
#22573842	2
#22573838	2
#525×D₆₇	2
C₂²×#14524016	2
C₆₇×#3490	2
#62818	67