Subgroups — #31720838

Order 17152.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22573612	C₂	1	1	yes	maximal, characteristic
2	#22569314	C₂	1	1	yes	maximal, characteristic, complemented
3	#22569313	C₂	1	1	yes	maximal, characteristic, complemented
4	#22569312	C₂	1	1	yes	maximal, characteristic, complemented
5	#22569312	C₂	1	1	yes	maximal, characteristic, complemented
6	#22569310	C₂	1	1	yes	maximal, characteristic, complemented
7	#22569309	C₂	1	1	yes	maximal, characteristic, complemented
8	#22569308	C₂	1	1	yes	maximal, characteristic, complemented
9	#22569307	C₂	1	1	yes	maximal, characteristic, complemented
10	#22569305	C₂	1	1	yes	maximal, characteristic, complemented
11	#22569304	C₂	1	1	yes	maximal, characteristic, complemented
12	#22569302	C₂	1	1	yes	maximal, characteristic, complemented
13	#22569302	C₂	1	1	yes	maximal, characteristic, complemented
14	#22569301	C₂	1	1	yes	maximal, characteristic, complemented
15	#22569301	C₂	1	1	yes	maximal, characteristic, complemented
16	#22569300	C₂	1	1	yes	maximal, characteristic, complemented
17	#22569157	C₂	1	1	yes	maximal, characteristic, complemented
18	#22569154	C₂	1	1	yes	maximal, characteristic, complemented
19	#22569154	C₂	1	1	yes	maximal, characteristic, complemented
20	#22569151	C₂	1	1	yes	maximal, characteristic, complemented
21	#22569145	C₂	1	1	yes	maximal, characteristic, complemented
22	#22569145	C₂	1	1	yes	maximal, characteristic, complemented
23	#22569140	C₂	1	1	yes	maximal, characteristic, complemented
24	#22569138	C₂	1	1	yes	maximal, characteristic, complemented
25	#22568868	C₂	1	1	yes	maximal, characteristic
26	#22568865	C₂	1	1	yes	maximal, characteristic
27	#22568865	C₂	1	1	yes	maximal, characteristic
28	#22568862	C₂	1	1	yes	maximal, characteristic
29	#22568843	C₂	1	1	yes	maximal, characteristic
30	#433×D₆₇	C₂	1	1	yes	maximal, characteristic
31	C₆₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	#16864026	C₄	1	1	yes	characteristic
33	#16864026	C₄	1	1	yes	characteristic
34	#16864026	C₄	1	1	yes	characteristic
35	#16864026	C₄	1	1	yes	characteristic
36	#16864025	C₄	1	1	yes	characteristic
37	#16864025	C₄	1	1	yes	characteristic
38	#16864025	C₄	1	1	yes	characteristic
39	#16864025	C₄	1	1	yes	characteristic
40	#16864023	C₄	1	1	yes	characteristic
41	#16864023	C₄	1	1	yes	characteristic
42	#16864023	C₄	1	1	yes	characteristic
43	#16864023	C₄	1	1	yes	characteristic
44	#16864021	C₄	1	1	yes	characteristic
45	#16864021	C₄	1	1	yes	characteristic
46	#16864021	C₄	1	1	yes	characteristic
47	#16864021	C₄	1	1	yes	characteristic
48	#16863953	C₂²	1	1	yes	characteristic
49	#16863950	C₂²	1	1	yes	characteristic
50	#16863950	C₂²	1	1	yes	characteristic
51	#16863950	C₂²	1	1	yes	characteristic
52	#16863950	C₂²	1	1	yes	characteristic
53	#16863950	C₂²	1	1	yes	characteristic
54	#16863950	C₂²	1	1	yes	characteristic
55	#16863950	C₂²	1	1	yes	characteristic
56	#16863950	C₂²	1	1	yes	characteristic
57	#16863949	C₂²	1	1	yes	characteristic
58	#16863949	C₂²	1	1	yes	characteristic
59	C₂×#14524000	C₂²	1	1	yes	characteristic
60	#117×D₆₇	C₂²	1	1	yes	characteristic
61	#117×D₆₇	C₂²	1	1	yes	characteristic
62	#16863527	C₂²	1	1	yes	characteristic, complemented
63	#16863527	C₂²	1	1	yes	characteristic, complemented
64	#16863527	C₂²	1	1	yes	characteristic, complemented
65	#16863527	C₂²	1	1	yes	characteristic, complemented
66	#16863527	C₂²	1	1	yes	characteristic, complemented
67	#16863527	C₂²	1	1	yes	characteristic, complemented
68	#16863526	C₂²	1	1	yes	characteristic, complemented
69	#16863526	C₂²	1	1	yes	characteristic, complemented
70	#16863526	C₂²	1	1	yes	characteristic, complemented
71	#16863526	C₂²	1	1	yes	characteristic, complemented
72	#16863526	C₂²	1	1	yes	characteristic, complemented
73	#16863526	C₂²	1	1	yes	characteristic, complemented
74	#16863525	C₂²	1	1	yes	characteristic, complemented
75	#16863525	C₂²	1	1	yes	characteristic, complemented
76	#16863525	C₂²	1	1	yes	characteristic, complemented
77	#16863525	C₂²	1	1	yes	characteristic, complemented
78	#16863525	C₂²	1	1	yes	characteristic, complemented
79	#16863525	C₂²	1	1	yes	characteristic, complemented
80	#16863525	C₂²	1	1	yes	characteristic, complemented
81	#16863525	C₂²	1	1	yes	characteristic, complemented
82	#16863525	C₂²	1	1	yes	characteristic, complemented
83	#16863525	C₂²	1	1	yes	characteristic, complemented
84	#16863525	C₂²	1	1	yes	characteristic, complemented
85	#16863525	C₂²	1	1	yes	characteristic, complemented
86	#16863524	C₂²	1	1	yes	characteristic, complemented
87	#16863524	C₂²	1	1	yes	characteristic, complemented
88	#16863524	C₂²	1	1	yes	characteristic, complemented
89	#16863524	C₂²	1	1	yes	characteristic, complemented
90	#16863524	C₂²	1	1	yes	characteristic, complemented
91	#16863524	C₂²	1	1	yes	characteristic, complemented
92	#16863524	C₂²	1	1	yes	characteristic, complemented
93	#16863524	C₂²	1	1	yes	characteristic, complemented
94	#16863524	C₂²	1	1	yes	characteristic, complemented
95	#16863524	C₂²	1	1	yes	characteristic, complemented
96	#16863524	C₂²	1	1	yes	characteristic, complemented
97	#16863524	C₂²	1	1	yes	characteristic, complemented
98	#16863523	C₂²	1	1	yes	characteristic, complemented
99	#16863523	C₂²	1	1	yes	characteristic, complemented
100	#16863523	C₂²	1	1	yes	characteristic, complemented
101	#16863523	C₂²	1	1	yes	characteristic, complemented
102	#16863523	C₂²	1	1	yes	characteristic, complemented
103	#16863523	C₂²	1	1	yes	characteristic, complemented
104	Q₈×C₆₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
105	Q₈×C₆₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
106	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
107	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
108	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
109	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
110	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
111	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
112	#16863520	C₂²	1	1	yes	characteristic, complemented
113	#16863520	C₂²	1	1	yes	characteristic, complemented
114	#16863520	C₂²	1	1	yes	characteristic, complemented
115	#16863520	C₂²	1	1	yes	characteristic, complemented
116	#16863520	C₂²	1	1	yes	characteristic, complemented
117	#16863520	C₂²	1	1	yes	characteristic, complemented
118	#16863458	C₂²	1	1	yes	characteristic
119	#16863458	C₂²	1	1	yes	characteristic
120	#16863458	C₂²	1	1	yes	characteristic
121	#16863458	C₂²	1	1	yes	characteristic
122	#16863457	C₂²	1	1	yes	characteristic
123	#16863457	C₂²	1	1	yes	characteristic
124	#16863457	C₂²	1	1	yes	characteristic
125	#16863457	C₂²	1	1	yes	characteristic
126	#16863456	C₂²	1	1	yes	characteristic
127	#16863456	C₂²	1	1	yes	characteristic
128	#16863456	C₂²	1	1	yes	characteristic
129	#16863456	C₂²	1	1	yes	characteristic
130	#16863456	C₂²	1	1	yes	characteristic
131	#16863456	C₂²	1	1	yes	characteristic
132	#16863456	C₂²	1	1	yes	characteristic
133	#16863456	C₂²	1	1	yes	characteristic
134	#16863455	C₂²	1	1	yes	characteristic
135	#16863455	C₂²	1	1	yes	characteristic
136	#16863455	C₂²	1	1	yes	characteristic
137	#16863455	C₂²	1	1	yes	characteristic
138	#16863454	C₂²	1	1	yes	characteristic
139	#16863454	C₂²	1	1	yes	characteristic
140	#16863454	C₂²	1	1	yes	characteristic
141	#16863454	C₂²	1	1	yes	characteristic
142	#16863454	C₂²	1	1	yes	characteristic
143	#16863454	C₂²	1	1	yes	characteristic
144	#16863454	C₂²	1	1	yes	characteristic
145	#16863454	C₂²	1	1	yes	characteristic
146	#16863453	C₂²	1	1	yes	characteristic
147	#16863452	C₂²	1	1	yes	characteristic
148	#16863452	C₂²	1	1	yes	characteristic
149	#16863451	C₂²	1	1	yes	characteristic
150	#16863451	C₂²	1	1	yes	characteristic
151	#16863450	C₂²	1	1	yes	characteristic
152	#16863450	C₂²	1	1	yes	characteristic
153	#16863449	C₂²	1	1	yes	characteristic
154	#16863448	C₂²	1	1	yes	characteristic
155	#16863448	C₂²	1	1	yes	characteristic
156	#16863447	C₂²	1	1	yes	characteristic
157	#16863447	C₂²	1	1	yes	characteristic
158	#16863446	C₂²	1	1	yes	characteristic
159	#16863446	C₂²	1	1	yes	characteristic
160	#16863421	C₂²	1	1	yes	characteristic
161	#16863421	C₂²	1	1	yes	characteristic
162	#16863421	C₂²	1	1	yes	characteristic
163	#16863421	C₂²	1	1	yes	characteristic
164	#16863421	C₂²	1	1	yes	characteristic
165	#16863421	C₂²	1	1	yes	characteristic
166	#16863421	C₂²	1	1	yes	characteristic
167	#16863421	C₂²	1	1	yes	characteristic
168	#16863418	C₂²	1	1	yes	characteristic
169	#16863418	C₂²	1	1	yes	characteristic
170	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
171	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
172	#16863358	C₂²	1	1	yes	characteristic
173	#16863358	C₂²	1	1	yes	characteristic
174	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
175	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
176	#16863353	C₂²	1	1	yes	characteristic
177	#16863353	C₂²	1	1	yes	characteristic
178	#16863353	C₂²	1	1	yes	characteristic
179	#16863353	C₂²	1	1	yes	characteristic
180	#16863350	C₂²	1	1	yes	characteristic
181	#16863350	C₂²	1	1	yes	characteristic
182	#16863350	C₂²	1	1	yes	characteristic
183	#16863350	C₂²	1	1	yes	characteristic
184	#16863348	C₂²	1	1	yes	characteristic
185	C₄×#11761611	C₂²	1	1	yes	characteristic
186	#97×D₆₇	C₂²	1	1	yes	characteristic
187	C₄×C₈×D₆₇	C₂²	1	1	yes	characteristic
188	#533×C₆₇	C₂²	1	1	yes	characteristic
189	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
190	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
191	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
192	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
193	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	#433×C₆₇	C₂²	1	1	yes	characteristic
198	#433×C₆₇	C₂²	1	1	yes	characteristic
199	#433×C₆₇	C₂²	1	1	yes	characteristic
200	#433×C₆₇	C₂²	1	1	yes	characteristic
201	#432×C₆₇	C₂²	1	1	yes	characteristic
202	#431×C₆₇	C₂²	1	1	yes	characteristic
203	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
204	C₂×#11761611	C₂³	1	1	yes	characteristic
205	C₂×#11761611	C₂³	1	1	yes	characteristic
206	C₂×#11761611	C₂³	1	1	yes	characteristic
207	C₂×#11761611	C₂³	1	1	yes	characteristic
208	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
209	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
210	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
211	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
212	#14524043	C₂×C₄	1	1	yes	characteristic
213	#14524043	C₂×C₄	1	1	yes	characteristic
214	#14524042	C₂×C₄	1	1	yes	characteristic
215	#14524042	C₂×C₄	1	1	yes	characteristic
216	#14524042	C₂×C₄	1	1	yes	characteristic
217	#14524042	C₂×C₄	1	1	yes	characteristic
218	#14524042	C₂×C₄	1	1	yes	characteristic
219	#14524042	C₂×C₄	1	1	yes	characteristic
220	#14524042	C₂×C₄	1	1	yes	characteristic
221	#14524042	C₂×C₄	1	1	yes	characteristic
222	#14524042	C₂×C₄	1	1	yes	characteristic
223	#14524042	C₂×C₄	1	1	yes	characteristic
224	#14524042	C₂×C₄	1	1	yes	characteristic
225	#14524042	C₂×C₄	1	1	yes	characteristic
226	#14524041	C₂×C₄	1	1	yes	characteristic
227	#14524041	C₂×C₄	1	1	yes	characteristic
228	#14524041	C₂×C₄	1	1	yes	characteristic
229	#14524041	C₂×C₄	1	1	yes	characteristic
230	#14524041	C₂×C₄	1	1	yes	characteristic
231	#14524041	C₂×C₄	1	1	yes	characteristic
232	#14524041	C₂×C₄	1	1	yes	characteristic
233	#14524041	C₂×C₄	1	1	yes	characteristic
234	#14524035	C₂×C₄	1	1	yes	characteristic
235	#14524035	C₂×C₄	1	1	yes	characteristic
236	#14524034	C₂×C₄	1	1	yes	characteristic
237	#14524034	C₂×C₄	1	1	yes	characteristic
238	#14524034	C₂×C₄	1	1	yes	characteristic
239	#14524034	C₂×C₄	1	1	yes	characteristic
240	#14524033	C₂×C₄	1	1	yes	characteristic
241	#14524033	C₂×C₄	1	1	yes	characteristic
242	#14524033	C₂×C₄	1	1	yes	characteristic
243	#14524033	C₂×C₄	1	1	yes	characteristic
244	#14524033	C₂×C₄	1	1	yes	characteristic
245	#14524033	C₂×C₄	1	1	yes	characteristic
246	#14524033	C₂×C₄	1	1	yes	characteristic
247	#14524033	C₂×C₄	1	1	yes	characteristic
248	#14524033	C₂×C₄	1	1	yes	characteristic
249	#14524033	C₂×C₄	1	1	yes	characteristic
250	#14524033	C₂×C₄	1	1	yes	characteristic
251	#14524033	C₂×C₄	1	1	yes	characteristic
252	#14524033	C₂×C₄	1	1	yes	characteristic
253	#14524033	C₂×C₄	1	1	yes	characteristic
254	#14524033	C₂×C₄	1	1	yes	characteristic
255	#14524033	C₂×C₄	1	1	yes	characteristic
256	#14524023	C₂×C₄	1	1	yes	characteristic
257	#14524023	C₂×C₄	1	1	yes	characteristic
258	#14524023	C₂×C₄	1	1	yes	characteristic
259	#14524023	C₂×C₄	1	1	yes	characteristic
260	#14524023	C₂×C₄	1	1	yes	characteristic
261	#14524023	C₂×C₄	1	1	yes	characteristic
262	#14524023	C₂×C₄	1	1	yes	characteristic
263	#14524023	C₂×C₄	1	1	yes	characteristic
264	#14524022	C₂×C₄	1	1	yes	characteristic
265	#14524022	C₂×C₄	1	1	yes	characteristic
266	#14524022	C₂×C₄	1	1	yes	characteristic
267	#14524022	C₂×C₄	1	1	yes	characteristic
268	#14524021	C₂×C₄	1	1	yes	characteristic
269	#14524021	C₂×C₄	1	1	yes	characteristic
270	#14524021	C₂×C₄	1	1	yes	characteristic
271	#14524021	C₂×C₄	1	1	yes	characteristic
272	#14524021	C₂×C₄	1	1	yes	characteristic
273	#14524021	C₂×C₄	1	1	yes	characteristic
274	#14524021	C₂×C₄	1	1	yes	characteristic
275	#14524021	C₂×C₄	1	1	yes	characteristic
276	#14524021	C₂×C₄	1	1	yes	characteristic
277	#14524021	C₂×C₄	1	1	yes	characteristic
278	#14524021	C₂×C₄	1	1	yes	characteristic
279	#14524021	C₂×C₄	1	1	yes	characteristic
280	#14524021	C₂×C₄	1	1	yes	characteristic
281	#14524021	C₂×C₄	1	1	yes	characteristic
282	#14524021	C₂×C₄	1	1	yes	characteristic
283	#14524021	C₂×C₄	1	1	yes	characteristic
284	#14524020	C₂×C₄	1	1	yes	characteristic
285	#14524020	C₂×C₄	1	1	yes	characteristic
286	#14524020	C₂×C₄	1	1	yes	characteristic
287	#14524020	C₂×C₄	1	1	yes	characteristic
288	#14524020	C₂×C₄	1	1	yes	characteristic
289	#14524020	C₂×C₄	1	1	yes	characteristic
290	#14524020	C₂×C₄	1	1	yes	characteristic
291	#14524020	C₂×C₄	1	1	yes	characteristic
292	#14524019	C₂×C₄	1	1	yes	characteristic
293	#14524019	C₂×C₄	1	1	yes	characteristic
294	#14524019	C₂×C₄	1	1	yes	characteristic
295	#14524019	C₂×C₄	1	1	yes	characteristic
296	#14524019	C₂×C₄	1	1	yes	characteristic
297	#14524019	C₂×C₄	1	1	yes	characteristic
298	#14524019	C₂×C₄	1	1	yes	characteristic
299	#14524019	C₂×C₄	1	1	yes	characteristic
300	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
301	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
302	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
305	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
306	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
307	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
308	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
309	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
310	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
311	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
312	#14524002	C₂³	1	1	yes	characteristic
313	#14524002	C₂³	1	1	yes	characteristic
314	#14524001	C₂×C₄	1	1	yes	characteristic
315	#14524001	C₂×C₄	1	1	yes	characteristic
316	#14524001	C₂×C₄	1	1	yes	characteristic
317	#14524001	C₂×C₄	1	1	yes	characteristic
318	#14524000	C₂×C₄	1	1	yes	characteristic
319	#14524000	C₂×C₄	1	1	yes	characteristic
320	#14524000	C₂×C₄	1	1	yes	characteristic
321	#14524000	C₂×C₄	1	1	yes	characteristic
322	#14524000	C₂³	1	1	yes	characteristic
323	#14524000	C₂³	1	1	yes	characteristic
324	#14524000	C₂³	1	1	yes	characteristic
325	#14524000	C₂³	1	1	yes	characteristic
326	#14524000	C₂³	1	1	yes	characteristic
327	#14524000	C₂³	1	1	yes	characteristic
328	#14524000	C₂³	1	1	yes	characteristic
329	#14524000	C₂³	1	1	yes	characteristic
330	#14523999	C₂×C₄	1	1	yes	characteristic
331	#14523999	C₂×C₄	1	1	yes	characteristic
332	#14523999	C₂×C₄	1	1	yes	characteristic
333	#14523999	C₂×C₄	1	1	yes	characteristic
334	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
335	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
336	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
337	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
338	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
339	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
340	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
341	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
342	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
343	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
344	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
345	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
346	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
347	C₄²×D₆₇	C₂³	1	1	yes	characteristic
348	C₄²×D₆₇	C₂³	1	1	yes	characteristic
349	C₄²×D₆₇	C₂³	1	1	yes	characteristic
350	C₄²×D₆₇	C₂³	1	1	yes	characteristic
351	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
352	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
353	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
354	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
355	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
356	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
357	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
358	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
359	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
360	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
361	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
362	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
363	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
364	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
365	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
366	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
367	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
368	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
369	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
370	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
371	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
372	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
373	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
374	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
375	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
376	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
377	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
378	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
379	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
380	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
381	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
382	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
383	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
384	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
385	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
386	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
387	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
388	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
389	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
390	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
391	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
392	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
393	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
394	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
395	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
396	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
397	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
398	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
399	#14523954	C₂³	1	1	yes	characteristic
400	#14523954	C₂³	1	1	yes	characteristic
401	#14523954	C₂³	1	1	yes	characteristic
402	#14523954	C₂³	1	1	yes	characteristic
403	#14523954	C₂³	1	1	yes	characteristic
404	#14523954	C₂³	1	1	yes	characteristic
405	#14523953	C₂³	1	1	yes	characteristic
406	#14523953	C₂³	1	1	yes	characteristic
407	#14523953	C₂³	1	1	yes	characteristic
408	#14523953	C₂³	1	1	yes	characteristic
409	#14523953	C₂³	1	1	yes	characteristic
410	#14523953	C₂³	1	1	yes	characteristic
411	#14523953	C₂³	1	1	yes	characteristic
412	#14523953	C₂³	1	1	yes	characteristic
413	#14523953	C₂³	1	1	yes	characteristic
414	#14523953	C₂³	1	1	yes	characteristic
415	#14523953	C₂³	1	1	yes	characteristic
416	#14523953	C₂³	1	1	yes	characteristic
417	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
418	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
419	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
420	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
421	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
422	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
423	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
424	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
425	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
426	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
427	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
428	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
429	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
430	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
431	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
432	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
433	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
434	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
435	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
436	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
437	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
438	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
439	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
440	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
441	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
442	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
443	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
444	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
445	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
446	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
447	#117×C₆₇	C₂³	1	1	yes	characteristic
448	#117×C₆₇	C₂³	1	1	yes	characteristic
449	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
450	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
451	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
452	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
453	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
454	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
455	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
456	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
457	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
458	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
459	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
460	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
461	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
466	#97×C₆₇	C₂³	1	1	yes	characteristic
467	#97×C₆₇	C₂³	1	1	yes	characteristic
468	#97×C₆₇	C₂³	1	1	yes	characteristic
469	#97×C₆₇	C₂³	1	1	yes	characteristic
470	#97×C₆₇	C₂³	1	1	yes	characteristic
471	#97×C₆₇	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
478	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
479	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
480	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
481	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
482	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
483	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
484	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
485	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
486	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
487	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
488	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
489	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
490	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
491	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
492	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
493	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
494	C₂×C₄×D₆₇	—	2	2	no	—
495	C₂×C₄×D₆₇	—	2	2	no	—
496	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
507	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
508	#11761611	—	2	2	no	—
509	#11761611	—	2	2	no	—
510	#11761611	—	2	2	no	—
511	#11761611	—	2	2	no	—
512	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
513	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
520	C₈×D₆₇	—	2	2	no	—
521	C₈×D₆₇	—	2	2	no	—
522	C₈×D₆₇	—	2	2	no	—
523	C₈×D₆₇	—	2	2	no	—
524	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
525	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
526	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
527	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
528	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
529	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
530	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
531	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
532	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
533	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
534	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
535	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
536	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
537	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
538	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
539	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
540	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
582	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
584	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
601	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
602	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
603	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
604	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
605	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
606	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
607	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
608	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
609	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
610	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
611	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
612	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
613	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
614	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
615	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
616	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
617	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
618	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
619	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
620	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
621	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
622	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
623	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
624	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
625	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
626	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
627	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
632	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
633	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
634	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
635	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
636	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
638	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
639	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
640	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
641	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
642	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
651	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
652	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
653	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
654	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
655	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
656	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
657	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
658	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
659	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
660	C₂²×D₆₇	—	2	2	no	—
661	C₂²×D₆₇	—	4	1	no	—
662	C₂²×D₆₇	—	4	1	no	—
663	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
664	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
665	Q₈×C₆₇	—	4	1	no	—
666	Q₈×C₆₇	—	4	1	no	—
667	Q₈×C₆₇	—	4	1	no	—
668	Q₈×C₆₇	—	4	1	no	—
669	C₂×C₄×C₆₇	—	2	1	no	—
670	C₂×C₄×C₆₇	—	2	1	no	—
671	C₂×C₄×C₆₇	—	4	1	no	—
672	C₂×C₄×C₆₇	—	4	1	no	—
673	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
674	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
675	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
676	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
677	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
678	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
679	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
680	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
681	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
682	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
683	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
684	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
685	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
686	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
687	C₂×Dic₆₇	—	2	2	no	—
688	C₂×Dic₆₇	—	4	1	no	—
689	C₂×Dic₆₇	—	4	1	no	—
690	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
691	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
692	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
693	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
694	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
695	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
696	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
697	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
698	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
699	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
700	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
701	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
704	C₄×D₆₇	—	2	2	no	—
705	C₄×D₆₇	—	2	1	no	—
706	C₄×D₆₇	—	2	1	no	—
707	C₄×D₆₇	—	2	2	no	—
708	C₄×D₆₇	—	4	1	no	—
709	C₄×D₆₇	—	4	1	no	—
710	C₄×D₆₇	—	4	1	no	—
711	C₄×D₆₇	—	4	1	no	—
712	C₄×D₆₇	—	4	1	no	—
713	C₄×D₆₇	—	4	1	no	—
714	C₄×D₆₇	—	4	1	no	—
715	C₄×D₆₇	—	4	1	no	—
716	C₄×D₆₇	2₋¹⁺⁴	1	2	yes	—
717	C₄×D₆₇	2₋¹⁺⁴	1	2	yes	—
718	Dic₁₃₄	—	4	1	no	—
719	Dic₁₃₄	—	4	1	no	—
720	Dic₁₃₄	—	4	1	no	—
721	Dic₁₃₄	—	4	1	no	—
722	Dic₁₃₄	—	4	1	no	—
723	Dic₁₃₄	—	4	1	no	—
724	Dic₁₃₄	—	4	1	no	—
725	Dic₁₃₄	—	4	1	no	—
726	Dic₁₃₄	—	4	1	no	—
727	Dic₁₃₄	—	4	1	no	—
728	Dic₁₃₄	—	4	1	no	—
729	Dic₁₃₄	—	4	1	no	—
730	C₈×C₆₇	—	2	1	no	—
731	C₈×C₆₇	—	2	1	no	—
732	C₈×C₆₇	—	2	1	no	—
733	C₈×C₆₇	—	2	1	no	—
734	C₈×C₆₇	—	2	1	no	—
735	C₈×C₆₇	—	2	1	no	—
736	C₈×C₆₇	—	2	1	no	—
737	C₈×C₆₇	—	2	1	no	—
738	C₆₇⋊C₈	—	2	1	no	—
739	C₆₇⋊C₈	—	2	1	no	—
740	C₆₇⋊C₈	—	2	1	no	—
741	C₆₇⋊C₈	—	2	1	no	—
742	C₆₇⋊C₈	—	2	1	no	—
743	C₆₇⋊C₈	—	2	1	no	—
744	C₆₇⋊C₈	—	2	1	no	—
745	C₆₇⋊C₈	—	2	1	no	—
746	C₂²×C₆₇	—	2	1	no	—
747	C₂²×C₆₇	—	2	1	no	—
748	C₂²×C₆₇	—	2	1	no	—
749	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
750	C₂×D₆₇	—	2	1	no	—
751	C₂×D₆₇	—	2	1	no	—
752	C₂×D₆₇	—	2	1	no	—
753	C₂×D₆₇	—	2	1	no	—
754	C₂×D₆₇	—	2	1	no	—
755	C₂×D₆₇	—	8	2	no	—
756	C₂×D₆₇	#519	1	2	yes	—
757	C₄×C₆₇	—	2	1	no	—
758	C₄×C₆₇	—	2	1	no	—
759	C₄×C₆₇	—	2	1	no	—
760	C₄×C₆₇	—	2	1	no	—
761	C₄×C₆₇	—	2	1	no	—
762	C₄×C₆₇	—	2	1	no	—
763	C₄×C₆₇	—	2	1	no	—
764	C₄×C₆₇	—	2	1	no	—
765	C₄×C₆₇	—	2	1	no	—
766	C₄×C₆₇	—	2	1	no	—
767	C₄×C₆₇	—	2	1	no	—
768	C₄×C₆₇	—	2	1	no	—
769	C₄×C₆₇	—	2	1	no	—
770	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
771	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
772	Dic₆₇	—	2	1	no	—
773	Dic₆₇	—	2	1	no	—
774	Dic₆₇	—	2	1	no	—
775	Dic₆₇	—	2	1	no	—
776	Dic₆₇	—	2	1	no	—
777	Dic₆₇	—	2	1	no	—
778	Dic₆₇	—	2	1	no	—
779	Dic₆₇	—	2	1	no	—
780	Dic₆₇	—	2	1	no	—
781	Dic₆₇	—	2	1	no	—
782	Dic₆₇	—	2	1	no	—
783	Dic₆₇	—	2	1	no	—
784	Dic₆₇	—	2	1	no	—
785	Dic₆₇	#519	1	2	yes	—
786	#60252	—	67	1	no	maximal, Sylow
787	C₂×C₆₇	—	4	1	no	—
788	C₂×C₆₇	C₂×#519	1	1	yes	characteristic
789	C₂×C₆₇	#3573	1	1	yes	characteristic
790	C₂×C₆₇	#3573	1	1	yes	characteristic
791	D₆₇	—	2	2	no	—
792	D₆₇	—	4	1	no	—
793	#3458	—	67	1	no	—
794	#2987	—	67	1	no	—
795	#2987	—	67	1	no	—
796	#2987	—	67	1	no	—
797	#2987	—	67	1	no	—
798	#2986	—	67	1	no	—
799	#2986	—	67	1	no	—
800	#2986	—	67	1	no	—
801	#2986	—	67	1	no	—
802	#2985	—	67	1	no	—
803	#2985	—	67	1	no	—
804	#2985	—	67	1	no	—
805	#2985	—	67	1	no	—
806	#2985	—	67	1	no	—
807	#2985	—	67	1	no	—
808	#2985	—	67	1	no	—
809	#2985	D₆₇	1	1	yes	characteristic, complemented
810	#2962	—	67	1	no	—
811	#2962	—	67	1	no	—
812	#2962	—	67	1	no	—
813	#2962	—	67	1	no	—
814	#2961	—	67	1	no	—
815	#2961	—	67	1	no	—
816	#2960	—	67	1	no	—
817	#2960	—	67	1	no	—
818	#2924	—	67	1	no	—
819	#2924	—	67	1	no	—
820	#2924	—	67	1	no	—
821	#2924	—	67	1	no	—
822	#2921	—	67	1	no	—
823	C₂×#433	—	67	1	no	—
824	C₆₇	#60252	1	1	yes	characteristic, complemented, Sylow
825	#544	—	67	1	no	—
826	#544	—	67	1	no	—
827	#544	—	67	1	no	—
828	#544	—	67	1	no	—
829	#544	—	67	1	no	—
830	#544	—	67	1	no	—
831	#544	—	67	1	no	—
832	#544	—	67	1	no	—
833	#544	—	67	1	no	—
834	#544	—	67	1	no	—
835	#544	—	67	1	no	—
836	#544	—	67	1	no	—
837	#543	—	67	1	no	—
838	#543	—	67	1	no	—
839	#543	—	67	1	no	—
840	#543	—	67	1	no	—
841	#533	—	67	1	no	—
842	#533	—	67	1	no	—
843	#533	—	67	1	no	—
844	#533	—	67	1	no	—
845	#533	—	67	1	no	—
846	#533	—	67	1	no	—
847	#533	—	67	1	no	—
848	#533	—	67	1	no	—
849	#533	—	67	1	no	—
850	#533	—	67	1	no	—
851	#533	—	67	1	no	—
852	#533	C₂×D₆₇	1	1	yes	characteristic
853	C₂×#117	—	67	1	no	—
854	C₂×#117	—	67	1	no	—
855	C₂×#117	—	67	1	no	—
856	#446	—	67	1	no	—
857	#446	—	67	1	no	—
858	#446	—	67	1	no	—
859	#446	—	67	1	no	—
860	#446	—	67	1	no	—
861	#446	—	67	1	no	—
862	#446	—	67	1	no	—
863	#446	—	67	1	no	—
864	#446	—	67	1	no	—
865	#446	—	67	1	no	—
866	#446	—	67	1	no	—
867	#446	—	67	1	no	—
868	#446	—	67	1	no	—
869	#446	—	67	1	no	—
870	#446	—	67	1	no	—
871	#446	—	67	1	no	—
872	#446	—	67	1	no	—
873	#446	—	67	1	no	—
874	#446	—	67	1	no	—
875	#446	—	67	1	no	—
876	#446	—	67	1	no	—
877	#446	—	67	1	no	—
878	#446	—	67	1	no	—
879	#446	—	67	1	no	—
880	#446	—	67	1	no	—
881	#446	—	67	1	no	—
882	#446	—	67	1	no	—
883	#446	—	67	1	no	—
884	#446	—	67	1	no	—
885	#446	—	67	1	no	—
886	#446	—	67	1	no	—
887	#446	—	67	1	no	—
888	#446	—	67	1	no	—
889	#446	—	67	1	no	—
890	#446	—	67	1	no	—
891	#446	—	67	1	no	—
892	#446	—	67	1	no	—
893	#446	—	67	1	no	—
894	#446	—	67	1	no	—
895	#446	—	67	1	no	—
896	#446	—	67	1	no	—
897	#446	—	67	1	no	—
898	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
899	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
900	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
901	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
902	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
903	#446	C₂×D₆₇	1	1	yes	characteristic, complemented
904	C₈×Q₈	—	67	1	no	—
905	C₈×Q₈	—	67	1	no	—
906	C₈×Q₈	—	67	1	no	—
907	C₈×Q₈	—	67	1	no	—
908	C₈×Q₈	—	67	1	no	—
909	C₈×Q₈	—	67	1	no	—
910	C₈×Q₈	—	67	1	no	—
911	C₈×Q₈	—	67	1	no	—
912	C₈×Q₈	—	67	1	no	—
913	C₈×Q₈	—	67	1	no	—
914	C₈×Q₈	—	67	1	no	—
915	C₈×Q₈	—	67	1	no	—
916	C₈×Q₈	—	67	1	no	—
917	C₈×Q₈	—	67	1	no	—
918	C₈×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
919	C₈×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
920	#433	—	67	1	no	—
921	#433	—	67	1	no	—
922	#433	—	67	1	no	—
923	#433	—	67	1	no	—
924	#433	—	67	1	no	—
925	#433	—	67	1	no	—
926	#433	—	67	1	no	—
927	#433	—	67	1	no	—
928	#433	—	67	1	no	—
929	#433	—	67	1	no	—
930	#433	—	67	1	no	—
931	#433	—	67	1	no	—
932	#433	—	67	1	no	—
933	#433	—	67	1	no	—
934	#433	—	67	1	no	—
935	#433	—	67	1	no	—
936	#433	—	67	1	no	—
937	#433	—	67	1	no	—
938	#433	—	67	1	no	—
939	#433	—	67	1	no	—
940	#433	—	67	1	no	—
941	#433	—	67	1	no	—
942	#433	—	67	1	no	—
943	#433	—	67	1	no	—
944	#433	—	67	1	no	—
945	#433	—	67	1	no	—
946	#433	—	67	1	no	—
947	#433	—	67	1	no	—
948	#433	C₂×D₆₇	1	1	yes	characteristic
949	#433	C₂×D₆₇	1	1	yes	characteristic
950	#433	C₂×D₆₇	1	1	yes	characteristic
951	#433	C₂×D₆₇	1	1	yes	characteristic
952	#432	—	67	1	no	—
953	#432	—	67	1	no	—
954	#432	—	67	1	no	—
955	#432	—	67	1	no	—
956	#432	—	67	1	no	—
957	#432	—	67	1	no	—
958	#432	—	67	1	no	—
959	#432	C₂×D₆₇	1	1	yes	characteristic
960	#431	—	67	1	no	—
961	#431	—	67	1	no	—
962	#431	—	67	1	no	—
963	#431	—	67	1	no	—
964	#431	—	67	1	no	—
965	#431	—	67	1	no	—
966	#431	—	67	1	no	—
967	#431	C₂×D₆₇	1	1	yes	characteristic
968	#424	—	67	1	no	—
969	#424	—	67	1	no	—
970	#424	—	67	1	no	—
971	#424	—	67	1	no	—
972	#424	—	67	1	no	—
973	#424	—	67	1	no	—
974	#424	—	67	1	no	—
975	#424	—	67	1	no	—
976	#423	—	67	1	no	—
977	#423	—	67	1	no	—
978	C₂×C₄⋊C₈	—	67	1	no	—
979	C₂×C₄⋊C₈	—	67	1	no	—
980	#407	—	67	1	no	—
981	#407	—	67	1	no	—
982	C₂×C₂²⋊C₈	—	67	1	no	—
983	C₂×C₂²⋊C₈	—	67	1	no	—
984	#405	—	67	1	no	—
985	#405	—	67	1	no	—
986	#405	—	67	1	no	—
987	#405	—	67	1	no	—
988	#405	—	67	1	no	—
989	#405	—	67	1	no	—
990	#405	—	67	1	no	—
991	#405	—	67	1	no	—
992	C₄×M₁₆	—	67	1	no	—
993	C₄×M₁₆	—	67	1	no	—
994	C₂×#97	—	67	1	no	—
995	C₂×C₄×C₈	—	67	1	no	—
996	C₂³×C₄	—	67	1	no	—
997	C₂×M₁₆	—	67	1	no	—
998	C₂×M₁₆	—	67	1	no	—
999	C₂×M₁₆	—	67	1	no	—
1000	C₂×M₁₆	—	67	1	no	—
1001	C₂²×C₈	—	67	1	no	—
1002	C₂²×C₈	—	67	1	no	—
1003	C₂²×C₈	—	67	1	no	—
1004	C₂²×C₈	—	67	1	no	—
1005	C₄⋊Q₈	—	67	1	no	—
1006	C₄⋊Q₈	—	67	1	no	—
1007	C₄⋊Q₈	—	67	1	no	—
1008	C₄⋊Q₈	—	67	1	no	—
1009	C₄⋊Q₈	—	67	1	no	—
1010	C₄⋊Q₈	—	67	1	no	—
1011	C₄⋊Q₈	—	67	1	no	—
1012	C₄⋊Q₈	—	67	1	no	—
1013	C₄⋊Q₈	—	67	1	no	—
1014	C₄⋊Q₈	—	67	1	no	—
1015	C₄⋊Q₈	—	67	1	no	—
1016	C₄⋊Q₈	—	67	1	no	—
1017	C₄⋊Q₈	—	67	1	no	—
1018	C₄⋊Q₈	—	67	1	no	—
1019	C₄⋊Q₈	—	67	1	no	—
1020	C₄⋊Q₈	—	67	1	no	—
1021	C₄⋊Q₈	—	67	1	no	—
1022	C₄⋊Q₈	—	67	1	no	—
1023	C₄⋊Q₈	—	67	1	no	—
1024	C₄⋊Q₈	—	67	1	no	—
1025	C₄⋊Q₈	—	67	1	no	—
1026	C₄⋊Q₈	—	67	1	no	—
1027	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1028	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1029	#125	—	67	1	no	—
1030	#125	—	67	1	no	—
1031	#125	—	67	1	no	—
1032	#125	—	67	1	no	—
1033	#125	—	67	1	no	—
1034	#125	—	67	1	no	—
1035	#125	—	67	1	no	—
1036	#125	—	67	1	no	—
1037	#125	—	67	1	no	—
1038	#125	—	67	1	no	—
1039	#125	—	67	1	no	—
1040	#125	—	67	1	no	—
1041	#125	—	67	1	no	—
1042	#125	—	67	1	no	—
1043	#125	—	67	1	no	—
1044	#125	—	67	1	no	—
1045	#125	—	67	1	no	—
1046	#125	—	67	1	no	—
1047	#125	—	67	1	no	—
1048	#125	—	67	1	no	—
1049	#125	—	67	1	no	—
1050	#125	—	67	1	no	—
1051	#125	C₄×D₆₇	1	1	yes	characteristic
1052	#125	C₄×D₆₇	1	1	yes	characteristic
1053	C₂²⋊Q₈	—	67	1	no	—
1054	C₂²⋊Q₈	—	67	1	no	—
1055	C₂²⋊Q₈	—	67	1	no	—
1056	C₂²⋊Q₈	—	67	1	no	—
1057	C₂²⋊Q₈	—	67	1	no	—
1058	C₂²⋊Q₈	—	67	1	no	—
1059	C₂²⋊Q₈	—	67	1	no	—
1060	C₂²⋊Q₈	—	67	1	no	—
1061	C₂²⋊Q₈	—	67	1	no	—
1062	C₂²⋊Q₈	—	67	1	no	—
1063	C₂²⋊Q₈	—	67	1	no	—
1064	C₂²⋊Q₈	—	67	1	no	—
1065	C₂²⋊Q₈	—	67	1	no	—
1066	C₂²⋊Q₈	—	67	1	no	—
1067	C₂²⋊Q₈	—	67	1	no	—
1068	C₂²⋊Q₈	—	67	1	no	—
1069	C₂²⋊Q₈	—	67	1	no	—
1070	C₂²⋊Q₈	—	67	1	no	—
1071	C₂²⋊Q₈	—	67	1	no	—
1072	C₂²⋊Q₈	—	67	1	no	—
1073	C₂²⋊Q₈	—	67	1	no	—
1074	C₂²⋊Q₈	—	67	1	no	—
1075	C₂²⋊Q₈	—	67	1	no	—
1076	C₂²⋊Q₈	—	67	1	no	—
1077	C₂²⋊Q₈	—	67	1	no	—
1078	C₂²⋊Q₈	—	67	1	no	—
1079	C₂²⋊Q₈	—	67	1	no	—
1080	C₂²⋊Q₈	—	67	1	no	—
1081	C₂²⋊Q₈	—	67	1	no	—
1082	C₂²⋊Q₈	—	67	1	no	—
1083	C₂²⋊Q₈	—	67	1	no	—
1084	C₂²⋊Q₈	—	67	1	no	—
1085	C₂²⋊Q₈	—	67	1	no	—
1086	C₂²⋊Q₈	—	67	1	no	—
1087	C₂²⋊Q₈	—	67	1	no	—
1088	C₂²⋊Q₈	—	67	1	no	—
1089	C₂²⋊Q₈	—	67	1	no	—
1090	C₂²⋊Q₈	—	67	1	no	—
1091	C₂²⋊Q₈	—	67	1	no	—
1092	C₂²⋊Q₈	—	67	1	no	—
1093	C₂²⋊Q₈	—	67	1	no	—
1094	C₂²⋊Q₈	—	67	1	no	—
1095	C₂²⋊Q₈	—	67	1	no	—
1096	C₂²⋊Q₈	—	67	1	no	—
1097	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1101	C₄×Q₈	—	67	1	no	—
1102	C₄×Q₈	—	67	1	no	—
1103	C₄×Q₈	—	67	1	no	—
1104	C₄×Q₈	—	67	1	no	—
1105	C₄×Q₈	—	67	1	no	—
1106	C₄×Q₈	—	67	1	no	—
1107	C₄×Q₈	—	67	1	no	—
1108	C₄×Q₈	—	67	1	no	—
1109	C₄×Q₈	—	67	1	no	—
1110	C₄×Q₈	—	67	1	no	—
1111	C₄×Q₈	—	67	1	no	—
1112	C₄×Q₈	—	67	1	no	—
1113	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1114	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1116	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1117	#117	—	67	1	no	—
1118	#117	—	67	1	no	—
1119	#117	—	67	1	no	—
1120	#117	—	67	1	no	—
1121	#117	—	67	1	no	—
1122	#117	—	67	1	no	—
1123	#117	—	67	1	no	—
1124	#117	—	67	1	no	—
1125	#117	—	67	1	no	—
1126	#117	—	67	1	no	—
1127	#117	—	67	1	no	—
1128	#117	—	67	1	no	—
1129	#117	—	67	1	no	—
1130	#117	—	67	1	no	—
1131	#117	—	67	1	no	—
1132	#117	—	67	1	no	—
1133	#117	—	67	1	no	—
1134	#117	—	67	1	no	—
1135	#117	—	67	1	no	—
1136	#117	—	67	1	no	—
1137	#117	—	67	1	no	—
1138	#117	—	67	1	no	—
1139	#117	C₂²×D₆₇	1	1	yes	characteristic
1140	#117	C₂²×D₆₇	1	1	yes	characteristic
1141	C₂×C₄⋊C₄	—	67	1	no	—
1142	C₂×C₄⋊C₄	—	67	1	no	—
1143	C₂×C₄⋊C₄	—	67	1	no	—
1144	C₂×C₄⋊C₄	—	67	1	no	—
1145	C₂×C₄⋊C₄	—	67	1	no	—
1146	C₂×C₄⋊C₄	—	67	1	no	—
1147	C₂×C₂²⋊C₄	—	67	1	no	—
1148	C₂×C₂²⋊C₄	—	67	1	no	—
1149	C₂×C₂²⋊C₄	—	67	1	no	—
1150	C₂×C₂²⋊C₄	—	67	1	no	—
1151	C₂×C₂²⋊C₄	—	67	1	no	—
1152	C₂×C₂²⋊C₄	—	67	1	no	—
1153	C₂×C₄²	—	67	1	no	—
1154	C₂×C₄²	—	67	1	no	—
1155	C₂×C₄²	—	67	1	no	—
1156	C₂×C₄²	—	67	1	no	—
1157	C₂×C₄²	—	67	1	no	—
1158	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1159	C₄⋊C₈	—	67	1	no	—
1160	C₄⋊C₈	—	67	1	no	—
1161	C₄⋊C₈	—	67	1	no	—
1162	C₄⋊C₈	—	67	1	no	—
1163	C₄⋊C₈	—	67	1	no	—
1164	C₄⋊C₈	—	67	1	no	—
1165	C₄⋊C₈	—	67	1	no	—
1166	C₄⋊C₈	—	67	1	no	—
1167	C₄⋊C₈	—	67	1	no	—
1168	C₄⋊C₈	—	67	1	no	—
1169	C₄⋊C₈	—	67	1	no	—
1170	C₄⋊C₈	—	67	1	no	—
1171	C₄⋊C₈	—	67	1	no	—
1172	C₄⋊C₈	—	67	1	no	—
1173	C₄⋊C₈	—	67	1	no	—
1174	C₄⋊C₈	—	67	1	no	—
1175	C₄⋊C₈	—	67	1	no	—
1176	C₄⋊C₈	—	67	1	no	—
1177	C₄⋊C₈	—	67	1	no	—
1178	C₄⋊C₈	—	67	1	no	—
1179	C₄⋊C₈	—	67	1	no	—
1180	C₄⋊C₈	—	67	1	no	—
1181	C₄⋊C₈	—	67	1	no	—
1182	C₄⋊C₈	—	67	1	no	—
1183	C₄⋊C₈	—	67	1	no	—
1184	C₄⋊C₈	—	67	1	no	—
1185	C₄⋊C₈	—	67	1	no	—
1186	C₄⋊C₈	—	67	1	no	—
1187	C₄⋊C₈	—	67	1	no	—
1188	C₄⋊C₈	—	67	1	no	—
1189	C₄⋊C₈	—	67	1	no	—
1190	C₄⋊C₈	—	67	1	no	—
1191	C₄⋊C₈	—	67	1	no	—
1192	C₄⋊C₈	—	67	1	no	—
1193	C₄⋊C₈	—	67	1	no	—
1194	C₄⋊C₈	—	67	1	no	—
1195	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1196	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1197	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1198	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1199	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1200	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1201	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1202	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1203	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1204	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1205	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1207	C₂²⋊C₈	—	67	1	no	—
1208	C₂²⋊C₈	—	67	1	no	—
1209	C₂²⋊C₈	—	67	1	no	—
1210	C₂²⋊C₈	—	67	1	no	—
1211	C₂²⋊C₈	—	67	1	no	—
1212	C₂²⋊C₈	—	67	1	no	—
1213	C₂²⋊C₈	—	67	1	no	—
1214	C₂²⋊C₈	—	67	1	no	—
1215	C₂²⋊C₈	—	67	1	no	—
1216	C₂²⋊C₈	—	67	1	no	—
1217	C₂²⋊C₈	—	67	1	no	—
1218	C₂²⋊C₈	—	67	1	no	—
1219	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1222	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1223	#97	—	67	1	no	—
1224	#97	—	67	1	no	—
1225	#97	—	67	1	no	—
1226	#97	—	67	1	no	—
1227	#97	—	67	1	no	—
1228	#97	—	67	1	no	—
1229	#97	—	67	1	no	—
1230	#97	—	67	1	no	—
1231	#97	—	67	1	no	—
1232	#97	—	67	1	no	—
1233	#97	—	67	1	no	—
1234	#97	—	67	1	no	—
1235	#97	—	67	1	no	—
1236	#97	—	67	1	no	—
1237	#97	—	67	1	no	—
1238	#97	—	67	1	no	—
1239	#97	—	67	1	no	—
1240	#97	—	67	1	no	—
1241	#97	C₂²×D₆₇	1	1	yes	characteristic
1242	#97	C₂²×D₆₇	1	1	yes	characteristic
1243	#97	C₂²×D₆₇	1	1	yes	characteristic
1244	#97	C₂²×D₆₇	1	1	yes	characteristic
1245	#97	C₂²×D₆₇	1	1	yes	characteristic
1246	#97	C₂²×D₆₇	1	1	yes	characteristic
1247	C₄×C₈	—	67	1	no	—
1248	C₄×C₈	—	67	1	no	—
1249	C₄×C₈	—	67	1	no	—
1250	C₄×C₈	—	67	1	no	—
1251	C₄×C₈	—	67	1	no	—
1252	C₄×C₈	—	67	1	no	—
1253	C₄×C₈	—	67	1	no	—
1254	C₄×C₈	—	67	1	no	—
1255	C₄×C₈	—	67	1	no	—
1256	C₄×C₈	—	67	1	no	—
1257	C₄×C₈	—	67	1	no	—
1258	C₄×C₈	—	67	1	no	—
1259	C₄×C₈	—	67	1	no	—
1260	C₄×C₈	—	67	1	no	—
1261	C₄×C₈	—	67	1	no	—
1262	C₄×C₈	—	67	1	no	—
1263	C₄×C₈	—	67	1	no	—
1264	C₄×C₈	—	67	1	no	—
1265	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1266	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1267	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1268	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1269	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1270	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1271	C₂⁴	—	67	1	no	—
1272	C₂×Q₈	—	67	1	no	—
1273	C₂×Q₈	—	67	1	no	—
1274	C₂×Q₈	—	67	1	no	—
1275	C₂×Q₈	—	67	1	no	—
1276	C₂×Q₈	—	67	1	no	—
1277	C₂×Q₈	—	67	1	no	—
1278	C₂×Q₈	—	67	1	no	—
1279	C₂×Q₈	—	67	1	no	—
1280	C₂×Q₈	—	67	1	no	—
1281	C₂×Q₈	—	67	1	no	—
1282	C₂×Q₈	—	67	1	no	—
1283	C₂×Q₈	—	67	1	no	—
1284	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1285	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1286	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1287	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1288	C₂²×C₄	—	67	1	no	—
1289	C₂²×C₄	—	67	1	no	—
1290	C₂²×C₄	—	67	1	no	—
1291	C₂²×C₄	—	67	1	no	—
1292	C₂²×C₄	—	67	1	no	—
1293	C₂²×C₄	—	67	1	no	—
1294	C₂²×C₄	—	67	1	no	—
1295	C₂²×C₄	—	67	1	no	—
1296	C₂²×C₄	—	67	1	no	—
1297	C₂²×C₄	—	67	1	no	—
1298	C₂²×C₄	—	67	1	no	—
1299	C₂²×C₄	—	67	1	no	—
1300	C₂²×C₄	—	67	1	no	—
1301	C₂²×C₄	—	67	1	no	—
1302	C₂²×C₄	—	67	1	no	—
1303	C₂²×C₄	—	134	2	no	—
1304	C₂²×C₄	—	134	2	no	—
1305	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1306	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1307	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1308	M₁₆	—	134	2	no	—
1309	M₁₆	—	134	2	no	—
1310	M₁₆	—	134	2	no	—
1311	M₁₆	—	134	2	no	—
1312	C₂×C₈	—	67	1	no	—
1313	C₂×C₈	—	67	1	no	—
1314	C₂×C₈	—	67	1	no	—
1315	C₂×C₈	—	67	1	no	—
1316	C₂×C₈	—	67	1	no	—
1317	C₂×C₈	—	67	1	no	—
1318	C₂×C₈	—	67	1	no	—
1319	C₂×C₈	—	67	1	no	—
1320	C₂×C₈	—	134	2	no	—
1321	C₂×C₈	—	134	2	no	—
1322	C₂×C₈	—	134	2	no	—
1323	C₂×C₈	—	134	2	no	—
1324	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1325	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1326	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1327	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1328	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1329	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1330	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1331	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1332	C₄⋊C₄	—	67	1	no	—
1333	C₄⋊C₄	—	67	1	no	—
1334	C₄⋊C₄	—	67	1	no	—
1335	C₄⋊C₄	—	67	1	no	—
1336	C₄⋊C₄	—	67	1	no	—
1337	C₄⋊C₄	—	67	1	no	—
1338	C₄⋊C₄	—	67	1	no	—
1339	C₄⋊C₄	—	67	1	no	—
1340	C₄⋊C₄	—	67	1	no	—
1341	C₄⋊C₄	—	67	1	no	—
1342	C₄⋊C₄	—	67	1	no	—
1343	C₄⋊C₄	—	67	1	no	—
1344	C₄⋊C₄	—	67	1	no	—
1345	C₄⋊C₄	—	67	1	no	—
1346	C₄⋊C₄	—	67	1	no	—
1347	C₄⋊C₄	—	67	1	no	—
1348	C₄⋊C₄	—	67	1	no	—
1349	C₄⋊C₄	—	67	1	no	—
1350	C₄⋊C₄	—	67	1	no	—
1351	C₄⋊C₄	—	67	1	no	—
1352	C₄⋊C₄	—	67	1	no	—
1353	C₄⋊C₄	—	67	1	no	—
1354	C₄⋊C₄	—	67	1	no	—
1355	C₄⋊C₄	—	67	1	no	—
1356	C₄⋊C₄	—	67	1	no	—
1357	C₄⋊C₄	—	67	1	no	—
1358	C₄⋊C₄	—	67	1	no	—
1359	C₄⋊C₄	—	67	1	no	—
1360	C₄⋊C₄	—	67	1	no	—
1361	C₄⋊C₄	—	67	1	no	—
1362	C₄⋊C₄	—	67	1	no	—
1363	C₄⋊C₄	—	67	1	no	—
1364	C₄⋊C₄	—	67	1	no	—
1365	C₄⋊C₄	—	67	1	no	—
1366	C₄⋊C₄	—	67	1	no	—
1367	C₄⋊C₄	—	67	1	no	—
1368	C₄⋊C₄	—	67	1	no	—
1369	C₄⋊C₄	—	67	1	no	—
1370	C₄⋊C₄	—	67	1	no	—
1371	C₄⋊C₄	—	67	1	no	—
1372	C₄⋊C₄	—	67	1	no	—
1373	C₄⋊C₄	—	67	1	no	—
1374	C₄⋊C₄	—	67	1	no	—
1375	C₄⋊C₄	—	67	1	no	—
1376	C₄⋊C₄	—	67	1	no	—
1377	C₄⋊C₄	—	67	1	no	—
1378	C₄⋊C₄	—	67	1	no	—
1379	C₄⋊C₄	—	67	1	no	—
1380	C₄⋊C₄	—	67	1	no	—
1381	C₄⋊C₄	—	67	1	no	—
1382	C₄⋊C₄	—	67	1	no	—
1383	C₄⋊C₄	—	67	1	no	—
1384	C₄⋊C₄	—	67	1	no	—
1385	C₄⋊C₄	—	67	1	no	—
1386	C₄⋊C₄	—	67	1	no	—
1387	C₄⋊C₄	—	67	1	no	—
1388	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1389	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1404	C₂²⋊C₄	—	67	1	no	—
1405	C₂²⋊C₄	—	67	1	no	—
1406	C₂²⋊C₄	—	67	1	no	—
1407	C₂²⋊C₄	—	67	1	no	—
1408	C₂²⋊C₄	—	67	1	no	—
1409	C₂²⋊C₄	—	67	1	no	—
1410	C₂²⋊C₄	—	67	1	no	—
1411	C₂²⋊C₄	—	67	1	no	—
1412	C₂²⋊C₄	—	67	1	no	—
1413	C₂²⋊C₄	—	67	1	no	—
1414	C₂²⋊C₄	—	67	1	no	—
1415	C₂²⋊C₄	—	67	1	no	—
1416	C₂²⋊C₄	—	67	1	no	—
1417	C₂²⋊C₄	—	67	1	no	—
1418	C₂²⋊C₄	—	67	1	no	—
1419	C₂²⋊C₄	—	67	1	no	—
1420	C₂²⋊C₄	—	67	1	no	—
1421	C₂²⋊C₄	—	67	1	no	—
1422	C₂²⋊C₄	—	67	1	no	—
1423	C₂²⋊C₄	—	67	1	no	—
1424	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1425	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1428	C₄²	—	67	1	no	—
1429	C₄²	—	67	1	no	—
1430	C₄²	—	67	1	no	—
1431	C₄²	—	67	1	no	—
1432	C₄²	—	67	1	no	—
1433	C₄²	—	67	1	no	—
1434	C₄²	—	67	1	no	—
1435	C₄²	—	67	1	no	—
1436	C₄²	—	67	1	no	—
1437	C₄²	—	67	1	no	—
1438	C₄²	—	67	1	no	—
1439	C₄²	—	67	1	no	—
1440	C₄²	—	67	1	no	—
1441	C₄²	—	67	1	no	—
1442	C₄²	—	67	1	no	—
1443	C₄²	—	67	1	no	—
1444	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1445	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1446	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1447	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1448	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1449	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1450	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1451	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1452	C₂³	—	268	1	no	—
1453	C₂³	—	268	1	no	—
1454	C₂³	—	67	1	no	—
1455	C₂³	—	67	1	no	—
1456	C₂³	—	134	2	no	—
1457	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1458	Q₈	—	4	1	no	—
1459	Q₈	—	4	1	no	—
1460	Q₈	—	4	1	no	—
1461	Q₈	—	4	1	no	—
1462	Q₈	—	268	1	no	—
1463	Q₈	—	268	1	no	—
1464	Q₈	—	268	1	no	—
1465	Q₈	—	268	1	no	—
1466	Q₈	—	268	1	no	—
1467	Q₈	—	268	1	no	—
1468	Q₈	—	268	1	no	—
1469	Q₈	—	268	1	no	—
1470	Q₈	—	268	1	no	—
1471	Q₈	—	268	1	no	—
1472	Q₈	—	268	1	no	—
1473	Q₈	—	268	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	4	1	no	—
1477	C₂×C₄	—	4	1	no	—
1478	C₂×C₄	—	268	1	no	—
1479	C₂×C₄	—	268	1	no	—
1480	C₂×C₄	—	268	1	no	—
1481	C₂×C₄	—	268	1	no	—
1482	C₂×C₄	—	268	1	no	—
1483	C₂×C₄	—	268	1	no	—
1484	C₂×C₄	—	268	1	no	—
1485	C₂×C₄	—	268	1	no	—
1486	C₂×C₄	—	268	1	no	—
1487	C₂×C₄	—	268	1	no	—
1488	C₂×C₄	—	67	1	no	—
1489	C₂×C₄	—	67	2	no	—
1490	C₂×C₄	—	67	2	no	—
1491	C₂×C₄	—	67	1	no	—
1492	C₂×C₄	—	67	1	no	—
1493	C₂×C₄	—	67	1	no	—
1494	C₂×C₄	—	67	1	no	—
1495	C₂×C₄	—	67	1	no	—
1496	C₂×C₄	—	67	1	no	—
1497	C₂×C₄	—	67	1	no	—
1498	C₂×C₄	—	67	1	no	—
1499	C₂×C₄	—	67	1	no	—
1500	C₂×C₄	—	67	1	no	—
1501	C₂×C₄	—	67	1	no	—
1502	C₂×C₄	—	67	1	no	—
1503	C₂×C₄	—	67	1	no	—
1504	C₂×C₄	—	134	2	no	—
1505	C₂×C₄	—	134	2	no	—
1506	C₂×C₄	—	134	2	no	—
1507	C₂×C₄	—	134	1	no	—
1508	C₂×C₄	—	134	1	no	—
1509	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1510	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1511	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1512	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1513	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1514	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1515	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1516	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1517	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1518	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1519	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1520	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1521	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1522	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1523	C₈	—	2	1	no	—
1524	C₈	—	2	1	no	—
1525	C₈	—	2	1	no	—
1526	C₈	—	2	1	no	—
1527	C₈	—	2	1	no	—
1528	C₈	—	2	1	no	—
1529	C₈	—	2	1	no	—
1530	C₈	—	2	1	no	—
1531	C₈	—	134	1	no	—
1532	C₈	—	134	1	no	—
1533	C₈	—	134	1	no	—
1534	C₈	—	134	1	no	—
1535	C₈	—	134	1	no	—
1536	C₈	—	134	1	no	—
1537	C₈	—	134	1	no	—
1538	C₈	—	134	1	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	1	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	536	2	no	—
1543	C₂²	—	67	2	no	—
1544	C₂²	—	134	1	no	—
1545	C₂²	—	134	1	no	—
1546	C₂²	—	134	1	no	—
1547	C₂²	—	134	1	no	—
1548	C₂²	—	134	1	no	—
1549	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	1	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	2	1	no	—
1557	C₄	—	2	1	no	—
1558	C₄	—	2	1	no	—
1559	C₄	—	2	1	no	—
1560	C₄	—	2	1	no	—
1561	C₄	—	2	1	no	—
1562	C₄	—	2	1	no	—
1563	C₄	—	67	2	no	—
1564	C₄	—	134	1	no	—
1565	C₄	—	134	1	no	—
1566	C₄	—	134	1	no	—
1567	C₄	—	134	1	no	—
1568	C₄	—	134	1	no	—
1569	C₄	—	134	1	no	—
1570	C₄	—	134	1	no	—
1571	C₄	—	134	1	no	—
1572	C₄	—	134	1	no	—
1573	C₄	—	134	1	no	—
1574	C₄	—	134	1	no	—
1575	C₄	—	134	1	no	—
1576	C₄	—	134	1	no	—
1577	C₄	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1578	C₄	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1579	C₂	—	4	1	no	—
1580	C₂	—	268	1	no	—
1581	C₂	—	134	2	no	—
1582	C₂	#519×D₆₇	1	1	yes	characteristic
1583	C₂	#22574920	1	1	yes	characteristic
1584	C₂	#22574922	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₆₇
commutator, socle	C₂²×C₆₇	C₂⁴×C₄
Fitting	C₆₇×#2985	C₂
prime radical	C₂³×D₆₇	C₂²×C₄
cosocle	C₂×C₄×C₆₇	C₂⁵
hypercenter	#2985	D₆₇
hypocenter	C₆₇	#60252
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #2985

Complements

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

N	H ≅ G/N	type
2. #22569314	C₂	semidirect
3. #22569313	C₂	semidirect
4. #22569312	C₂	semidirect
5. #22569312	C₂	semidirect
6. #22569310	C₂	semidirect
7. #22569309	C₂	semidirect
8. #22569308	C₂	semidirect
9. #22569307	C₂	semidirect
10. #22569305	C₂	semidirect
11. #22569304	C₂	semidirect
12. #22569302	C₂	semidirect
13. #22569302	C₂	semidirect
14. #22569301	C₂	semidirect
15. #22569301	C₂	semidirect
16. #22569300	C₂	semidirect
17. #22569157	C₂	semidirect
18. #22569154	C₂	semidirect
19. #22569154	C₂	semidirect
20. #22569151	C₂	semidirect
21. #22569145	C₂	semidirect
22. #22569145	C₂	semidirect
23. #22569140	C₂	semidirect
24. #22569138	C₂	semidirect
31. C₆₇×#2985	C₂	semidirect
62. #16863527	C₂²	semidirect
63. #16863527	C₂²	semidirect
64. #16863527	C₂²	semidirect
65. #16863527	C₂²	semidirect
66. #16863527	C₂²	semidirect
67. #16863527	C₂²	semidirect
68. #16863526	C₂²	semidirect
69. #16863526	C₂²	semidirect
70. #16863526	C₂²	semidirect
71. #16863526	C₂²	semidirect
72. #16863526	C₂²	semidirect
73. #16863526	C₂²	semidirect
74. #16863525	C₂²	semidirect
75. #16863525	C₂²	semidirect
76. #16863525	C₂²	semidirect
77. #16863525	C₂²	semidirect
78. #16863525	C₂²	semidirect
79. #16863525	C₂²	semidirect
80. #16863525	C₂²	semidirect
81. #16863525	C₂²	semidirect
82. #16863525	C₂²	semidirect
83. #16863525	C₂²	semidirect
84. #16863525	C₂²	semidirect
85. #16863525	C₂²	semidirect
86. #16863524	C₂²	semidirect
87. #16863524	C₂²	semidirect
88. #16863524	C₂²	semidirect
89. #16863524	C₂²	semidirect
90. #16863524	C₂²	semidirect
91. #16863524	C₂²	semidirect
92. #16863524	C₂²	semidirect
93. #16863524	C₂²	semidirect
94. #16863524	C₂²	semidirect
95. #16863524	C₂²	semidirect
96. #16863524	C₂²	semidirect
97. #16863524	C₂²	semidirect
98. #16863523	C₂²	semidirect
99. #16863523	C₂²	semidirect
100. #16863523	C₂²	semidirect
101. #16863523	C₂²	semidirect
102. #16863523	C₂²	semidirect
103. #16863523	C₂²	semidirect
104. Q₈×C₆₇⋊C₈	C₂²	semidirect
105. Q₈×C₆₇⋊C₈	C₂²	semidirect
106. C₈×Dic₁₃₄	C₂²	semidirect
107. C₈×Dic₁₃₄	C₂²	semidirect
108. C₈×Dic₁₃₄	C₂²	semidirect
109. C₈×Dic₁₃₄	C₂²	semidirect
110. C₈×Dic₁₃₄	C₂²	semidirect
111. C₈×Dic₁₃₄	C₂²	semidirect
112. #16863520	C₂²	semidirect
113. #16863520	C₂²	semidirect
114. #16863520	C₂²	semidirect
115. #16863520	C₂²	semidirect
116. #16863520	C₂²	semidirect
117. #16863520	C₂²	semidirect
189. #446×C₆₇	C₂²	semidirect
190. #446×C₆₇	C₂²	semidirect
191. #446×C₆₇	C₂²	semidirect
192. #446×C₆₇	C₂²	semidirect
193. #446×C₆₇	C₂²	semidirect
194. #446×C₆₇	C₂²	semidirect
195. C₈×Q₈×C₆₇	C₂²	semidirect
196. C₈×Q₈×C₆₇	C₂²	semidirect
809. #2985	D₆₇	semidirect
824. C₆₇	#60252	semidirect
898. #446	C₂×D₆₇	semidirect
899. #446	C₂×D₆₇	semidirect
900. #446	C₂×D₆₇	semidirect
901. #446	C₂×D₆₇	semidirect
902. #446	C₂×D₆₇	semidirect
903. #446	C₂×D₆₇	semidirect
918. C₈×Q₈	C₂×D₆₇	semidirect
919. C₈×Q₈	C₂×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22573612	2
#22569314	2
#22569313	2
#22569312	2
#22569310	2
#22569309	2
#22569308	2
#22569307	2
#22569305	2
#22569304	2
#22569302	2
#22569301	2
#22569300	2
#22569157	2
#22569154	2
#22569151	2
#22569145	2
#22569140	2
#22569138	2
#22568868	2
#22568865	2
#22568862	2
#22568843	2
#433×D₆₇	2
C₆₇×#2985	2
#60252	67