Subgroups — #31720865

Order 17152.

1658 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22573787	C₂	1	1	yes	maximal, characteristic
2	#22569313	C₂	1	1	yes	maximal, characteristic, complemented
3	#22569312	C₂	1	1	yes	maximal, characteristic, complemented
4	#22569312	C₂	1	1	yes	maximal, characteristic, complemented
5	#22569308	C₂	1	1	yes	maximal, characteristic, complemented
6	#22569307	C₂	1	1	yes	maximal, characteristic, complemented
7	#22569305	C₂	1	1	yes	maximal, characteristic, complemented
8	#22569304	C₂	1	1	yes	maximal, characteristic, complemented
9	#22569302	C₂	1	1	yes	maximal, characteristic, complemented
10	#22569302	C₂	1	1	yes	maximal, characteristic, complemented
11	#22569301	C₂	1	1	yes	maximal, characteristic, complemented
12	#22569301	C₂	1	1	yes	maximal, characteristic, complemented
13	#22569299	C₂	1	1	yes	maximal, characteristic, complemented
14	#22569295	C₂	1	1	yes	maximal, characteristic, complemented
15	#22569293	C₂	1	1	yes	maximal, characteristic, complemented
16	#22569291	C₂	1	1	yes	maximal, characteristic, complemented
17	#22569161	C₂	1	1	yes	maximal, characteristic, complemented
18	#22569157	C₂	1	1	yes	maximal, characteristic, complemented
19	#22569154	C₂	1	1	yes	maximal, characteristic, complemented
20	#22569154	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	#446×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	#22568876	C₂	1	1	yes	maximal, characteristic
26	#22568872	C₂	1	1	yes	maximal, characteristic
27	#22568872	C₂	1	1	yes	maximal, characteristic
28	#22568857	C₂	1	1	yes	maximal, characteristic
29	#22568855	C₂	1	1	yes	maximal, characteristic
30	#22568850	C₂	1	1	yes	maximal, characteristic
31	C₆₇×#2987	C₂	1	1	yes	maximal, characteristic, complemented
32	#16864126	C₄	1	1	yes	characteristic
33	#16864123	C₄	1	1	yes	characteristic
34	#16864123	C₄	1	1	yes	characteristic
35	#16864121	C₄	1	1	yes	characteristic
36	#16864107	C₄	1	1	yes	characteristic
37	#16864104	C₄	1	1	yes	characteristic
38	#16864104	C₄	1	1	yes	characteristic
39	#16864102	C₄	1	1	yes	characteristic
40	#16864102	C₄	1	1	yes	characteristic
41	#16864100	C₄	1	1	yes	characteristic
42	#16864100	C₄	1	1	yes	characteristic
43	#16864100	C₄	1	1	yes	characteristic
44	#16864100	C₄	1	1	yes	characteristic
45	#16864061	C₄	1	1	yes	characteristic
46	#16864059	C₄	1	1	yes	characteristic
47	#16864059	C₄	1	1	yes	characteristic
48	#16863950	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	#16863949	C₂²	1	1	yes	characteristic
55	#16863949	C₂²	1	1	yes	characteristic
56	C₄×#11761628	C₂²	1	1	yes	characteristic
57	#16863864	C₂²	1	1	yes	characteristic
58	#16863864	C₂²	1	1	yes	characteristic
59	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₆₇	C₂²	1	1	yes	characteristic
61	C₄×Q₈×D₆₇	C₂²	1	1	yes	characteristic
62	#16863527	C₂²	1	1	yes	characteristic
63	#16863527	C₂²	1	1	yes	characteristic
64	#16863527	C₂²	1	1	yes	characteristic
65	#16863527	C₂²	1	1	yes	characteristic
66	#16863527	C₂²	1	1	yes	characteristic
67	#16863527	C₂²	1	1	yes	characteristic
68	#16863526	C₂²	1	1	yes	characteristic
69	#16863526	C₂²	1	1	yes	characteristic
70	#16863526	C₂²	1	1	yes	characteristic
71	#16863526	C₂²	1	1	yes	characteristic
72	#16863525	C₂²	1	1	yes	characteristic
73	#16863525	C₂²	1	1	yes	characteristic
74	#16863525	C₂²	1	1	yes	characteristic
75	#16863525	C₂²	1	1	yes	characteristic
76	#16863525	C₂²	1	1	yes	characteristic
77	#16863525	C₂²	1	1	yes	characteristic
78	#16863525	C₂²	1	1	yes	characteristic
79	#16863525	C₂²	1	1	yes	characteristic
80	#16863525	C₂²	1	1	yes	characteristic
81	#16863525	C₂²	1	1	yes	characteristic
82	#16863525	C₂²	1	1	yes	characteristic
83	#16863525	C₂²	1	1	yes	characteristic
84	#16863524	C₂²	1	1	yes	characteristic
85	#16863524	C₂²	1	1	yes	characteristic
86	#16863524	C₂²	1	1	yes	characteristic
87	#16863524	C₂²	1	1	yes	characteristic
88	#16863524	C₂²	1	1	yes	characteristic
89	#16863524	C₂²	1	1	yes	characteristic
90	#16863524	C₂²	1	1	yes	characteristic
91	#16863524	C₂²	1	1	yes	characteristic
92	#16863524	C₂²	1	1	yes	characteristic
93	#16863524	C₂²	1	1	yes	characteristic
94	#16863524	C₂²	1	1	yes	characteristic
95	#16863524	C₂²	1	1	yes	characteristic
96	#16863524	C₂²	1	1	yes	characteristic
97	#16863524	C₂²	1	1	yes	characteristic
98	#16863524	C₂²	1	1	yes	characteristic
99	#16863524	C₂²	1	1	yes	characteristic
100	#16863523	C₂²	1	1	yes	characteristic
101	#16863523	C₂²	1	1	yes	characteristic
102	#16863523	C₂²	1	1	yes	characteristic
103	#16863523	C₂²	1	1	yes	characteristic
104	#16863523	C₂²	1	1	yes	characteristic
105	#16863523	C₂²	1	1	yes	characteristic
106	Q₈×C₆₇⋊C₈	C₂²	1	1	yes	characteristic
107	Q₈×C₆₇⋊C₈	C₂²	1	1	yes	characteristic
108	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic
109	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic
110	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic
111	C₈×Dic₁₃₄	C₂²	1	1	yes	characteristic
112	#16863520	C₂²	1	1	yes	characteristic
113	#16863520	C₂²	1	1	yes	characteristic
114	#16863520	C₂²	1	1	yes	characteristic
115	#16863520	C₂²	1	1	yes	characteristic
116	#16863520	C₂²	1	1	yes	characteristic
117	#16863520	C₂²	1	1	yes	characteristic
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	#16863455	C₂²	1	1	yes	characteristic
133	#16863455	C₂²	1	1	yes	characteristic
134	#16863454	C₂²	1	1	yes	characteristic
135	#16863454	C₂²	1	1	yes	characteristic
136	#16863454	C₂²	1	1	yes	characteristic
137	#16863454	C₂²	1	1	yes	characteristic
138	#16863453	C₂²	1	1	yes	characteristic
139	#16863452	C₂²	1	1	yes	characteristic
140	#16863452	C₂²	1	1	yes	characteristic
141	#16863452	C₂²	1	1	yes	characteristic
142	#16863451	C₂²	1	1	yes	characteristic
143	#16863451	C₂²	1	1	yes	characteristic
144	#16863451	C₂²	1	1	yes	characteristic
145	#16863451	C₂²	1	1	yes	characteristic
146	#16863450	C₂²	1	1	yes	characteristic
147	#16863450	C₂²	1	1	yes	characteristic
148	#16863450	C₂²	1	1	yes	characteristic
149	#16863450	C₂²	1	1	yes	characteristic
150	#16863449	C₂²	1	1	yes	characteristic
151	#16863448	C₂²	1	1	yes	characteristic
152	#16863448	C₂²	1	1	yes	characteristic
153	#16863448	C₂²	1	1	yes	characteristic
154	#16863447	C₂²	1	1	yes	characteristic
155	#16863447	C₂²	1	1	yes	characteristic
156	#16863446	C₂²	1	1	yes	characteristic
157	#16863446	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	#16863418	C₂²	1	1	yes	characteristic
167	#16863418	C₂²	1	1	yes	characteristic
168	#16863418	C₂²	1	1	yes	characteristic
169	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
170	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
171	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
172	#16863361	C₂²	1	1	yes	characteristic
173	#16863361	C₂²	1	1	yes	characteristic
174	#16863361	C₂²	1	1	yes	characteristic
175	#16863361	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	#16863348	C₂²	1	1	yes	characteristic
183	#16863348	C₂²	1	1	yes	characteristic
184	C₄×#11761611	C₂²	1	1	yes	characteristic
185	#97×D₆₇	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
190	#446×C₆₇	C₂²	1	1	yes	characteristic
191	#446×C₆₇	C₂²	1	1	yes	characteristic
192	#446×C₆₇	C₂²	1	1	yes	characteristic
193	#446×C₆₇	C₂²	1	1	yes	characteristic
194	#446×C₆₇	C₂²	1	1	yes	characteristic
195	#446×C₆₇	C₂²	1	1	yes	characteristic
196	#446×C₆₇	C₂²	1	1	yes	characteristic
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	#432×C₆₇	C₂²	1	1	yes	characteristic
203	C₂×#11761628	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
205	C₂×Q₈×D₆₇	C₂×C₄	1	1	yes	characteristic
206	C₂×Q₈×D₆₇	C₂×C₄	1	1	yes	characteristic
207	C₂×#11761611	C₂³	1	1	yes	characteristic
208	C₂×#11761611	C₂³	1	1	yes	characteristic
209	C₂×#11761611	C₂³	1	1	yes	characteristic
210	C₂×#11761611	C₂³	1	1	yes	characteristic
211	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
212	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
213	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
214	C₂×C₈×D₆₇	C₂³	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	#14524041	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	#14524034	C₂×C₄	1	1	yes	characteristic
232	#14524034	C₂×C₄	1	1	yes	characteristic
233	#14524034	C₂×C₄	1	1	yes	characteristic
234	#14524034	C₂×C₄	1	1	yes	characteristic
235	#14524033	C₂×C₄	1	1	yes	characteristic
236	#14524033	C₂×C₄	1	1	yes	characteristic
237	#14524033	C₂×C₄	1	1	yes	characteristic
238	#14524033	C₂×C₄	1	1	yes	characteristic
239	#14524033	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	#14524023	C₂×C₄	1	1	yes	characteristic
248	#14524023	C₂×C₄	1	1	yes	characteristic
249	#14524023	C₂×C₄	1	1	yes	characteristic
250	#14524023	C₂×C₄	1	1	yes	characteristic
251	#14524023	C₂×C₄	1	1	yes	characteristic
252	#14524023	C₂×C₄	1	1	yes	characteristic
253	#14524021	C₂×C₄	1	1	yes	characteristic
254	#14524021	C₂×C₄	1	1	yes	characteristic
255	#14524021	C₂×C₄	1	1	yes	characteristic
256	#14524021	C₂×C₄	1	1	yes	characteristic
257	#14524021	C₂×C₄	1	1	yes	characteristic
258	#14524021	C₂×C₄	1	1	yes	characteristic
259	#14524021	C₂×C₄	1	1	yes	characteristic
260	#14524021	C₂×C₄	1	1	yes	characteristic
261	#14524021	C₂×C₄	1	1	yes	characteristic
262	#14524021	C₂×C₄	1	1	yes	characteristic
263	#14524021	C₂×C₄	1	1	yes	characteristic
264	#14524021	C₂×C₄	1	1	yes	characteristic
265	#14524020	C₂×C₄	1	1	yes	characteristic
266	#14524020	C₂×C₄	1	1	yes	characteristic
267	#14524020	C₂×C₄	1	1	yes	characteristic
268	#14524020	C₂×C₄	1	1	yes	characteristic
269	#14524020	C₂×C₄	1	1	yes	characteristic
270	#14524020	C₂×C₄	1	1	yes	characteristic
271	#14524020	C₂×C₄	1	1	yes	characteristic
272	#14524020	C₂×C₄	1	1	yes	characteristic
273	#14524019	C₂×C₄	1	1	yes	characteristic
274	#14524019	C₂×C₄	1	1	yes	characteristic
275	#14524019	C₂×C₄	1	1	yes	characteristic
276	#14524019	C₂×C₄	1	1	yes	characteristic
277	#14524019	C₂×C₄	1	1	yes	characteristic
278	#14524019	C₂×C₄	1	1	yes	characteristic
279	Q₈×Dic₆₇	C₂×C₄	1	1	yes	characteristic
280	Q₈×Dic₆₇	C₂×C₄	1	1	yes	characteristic
281	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
282	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
283	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
284	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
285	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
286	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
287	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
288	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
289	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
290	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
291	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
292	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
293	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
294	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
295	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
296	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
297	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
298	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic
299	#14524008	C₂×C₄	1	1	yes	characteristic
300	#14524008	C₂×C₄	1	1	yes	characteristic
301	#14524008	C₂×C₄	1	1	yes	characteristic
302	#14524008	C₂×C₄	1	1	yes	characteristic
303	#14524008	C₂×C₄	1	1	yes	characteristic
304	#14524008	C₂×C₄	1	1	yes	characteristic
305	#14524008	C₂×C₄	1	1	yes	characteristic
306	#14524008	C₂×C₄	1	1	yes	characteristic
307	#14524008	C₂×C₄	1	1	yes	characteristic
308	#14524008	C₂×C₄	1	1	yes	characteristic
309	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
310	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
311	#14524005	C₂×C₄	1	1	yes	characteristic
312	#14524005	C₂×C₄	1	1	yes	characteristic
313	#14524005	C₂×C₄	1	1	yes	characteristic
314	#14524005	C₂×C₄	1	1	yes	characteristic
315	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
316	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
317	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
318	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
319	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
320	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
321	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
322	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
323	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
324	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
325	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
326	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
327	#14524002	C₂³	1	1	yes	characteristic
328	#14524000	C₂³	1	1	yes	characteristic
329	#14524000	C₂³	1	1	yes	characteristic
330	#14524000	C₂³	1	1	yes	characteristic
331	#14524000	C₂³	1	1	yes	characteristic
332	#14524000	C₂³	1	1	yes	characteristic
333	#14524000	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
335	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
336	C₂×Dic₆₇⋊C₄	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	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
341	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
342	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
343	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
344	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
345	C₄²×D₆₇	C₂³	1	1	yes	characteristic
346	C₄²×D₆₇	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	#97×C₆₇	C₂³	1	1	yes	characteristic
473	#97×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	#11761628	—	2	2	no	—
479	#11761628	—	2	2	no	—
480	C₂×Dic₁₃₄	—	4	2	no	—
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	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
492	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
493	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
494	Q₈×D₆₇	—	4	2	no	—
495	Q₈×D₆₇	—	4	2	no	—
496	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
499	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
500	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
501	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
502	C₂²×Dic₆₇	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	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
516	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
517	#11761611	—	2	2	no	—
518	#11761611	—	2	2	no	—
519	#11761611	—	2	2	no	—
520	#11761611	—	2	2	no	—
521	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
529	C₈×D₆₇	—	2	2	no	—
530	C₈×D₆₇	—	2	2	no	—
531	C₈×D₆₇	—	2	2	no	—
532	C₈×D₆₇	—	2	2	no	—
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	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
541	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
542	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
543	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
544	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
545	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
546	C₄⋊Dic₆₇	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	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊Dic₆₇	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	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
598	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
599	C₄×Dic₆₇	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	C₂²×C₄	1	1	yes	characteristic
611	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
612	C₄×Dic₆₇	C₂²×C₄	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	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
617	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
618	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
619	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
620	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
621	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
622	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
623	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
624	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
625	C₂²×C₄×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	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₆₇	C₂⁴	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	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
654	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
655	C₄²×C₆₇	C₂²×C₄	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	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
660	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
661	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
662	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
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	C₂²⋊D₆₇	—	2	2	no	—
688	C₂²⋊D₆₇	—	2	2	no	—
689	C₂×Dic₆₇	—	2	2	no	—
690	C₂×Dic₆₇	—	4	1	no	—
691	C₂×Dic₆₇	—	4	1	no	—
692	C₂×Dic₆₇	—	4	1	no	—
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	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
707	D₂₆₈	—	2	2	no	—
708	C₄×D₆₇	—	2	1	no	—
709	C₄×D₆₇	—	2	1	no	—
710	C₄×D₆₇	—	2	2	no	—
711	C₄×D₆₇	—	2	2	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	—	4	1	no	—
717	C₄×D₆₇	—	4	1	no	—
718	C₄×D₆₇	—	4	1	no	—
719	C₄×D₆₇	—	4	1	no	—
720	C₄×D₆₇	—	4	1	no	—
721	C₄×D₆₇	—	4	1	no	—
722	C₄×D₆₇	2₋¹⁺⁴	1	2	yes	—
723	C₄×D₆₇	2₋¹⁺⁴	1	2	yes	—
724	Dic₁₃₄	—	2	2	no	—
725	Dic₁₃₄	—	2	2	no	—
726	Dic₁₃₄	—	2	2	no	—
727	Dic₁₃₄	—	2	2	no	—
728	Dic₁₃₄	—	2	2	no	—
729	Dic₁₃₄	—	4	1	no	—
730	Dic₁₃₄	—	4	1	no	—
731	Dic₁₃₄	—	4	1	no	—
732	Dic₁₃₄	—	4	1	no	—
733	Dic₁₃₄	—	4	1	no	—
734	Dic₁₃₄	—	4	1	no	—
735	Dic₁₃₄	—	4	1	no	—
736	Dic₁₃₄	—	4	1	no	—
737	C₈×C₆₇	—	2	1	no	—
738	C₈×C₆₇	—	2	1	no	—
739	C₈×C₆₇	—	2	1	no	—
740	C₈×C₆₇	—	2	1	no	—
741	C₈×C₆₇	—	2	1	no	—
742	C₈×C₆₇	—	2	1	no	—
743	C₈×C₆₇	—	2	1	no	—
744	C₈×C₆₇	—	2	1	no	—
745	C₆₇⋊C₈	—	2	1	no	—
746	C₆₇⋊C₈	—	2	1	no	—
747	C₆₇⋊C₈	—	2	1	no	—
748	C₆₇⋊C₈	—	2	1	no	—
749	C₆₇⋊C₈	—	2	1	no	—
750	C₆₇⋊C₈	—	2	1	no	—
751	C₆₇⋊C₈	—	2	1	no	—
752	C₆₇⋊C₈	—	2	1	no	—
753	C₂²×C₆₇	—	2	1	no	—
754	C₂²×C₆₇	—	2	1	no	—
755	C₂²×C₆₇	—	2	1	no	—
756	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
757	C₂×D₆₇	—	2	1	no	—
758	C₂×D₆₇	—	2	1	no	—
759	C₂×D₆₇	—	2	1	no	—
760	C₂×D₆₇	—	2	1	no	—
761	C₂×D₆₇	—	2	1	no	—
762	C₂×D₆₇	#519	1	2	yes	—
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	—	2	1	no	—
771	C₄×C₆₇	—	2	1	no	—
772	C₄×C₆₇	—	2	1	no	—
773	C₄×C₆₇	—	2	1	no	—
774	C₄×C₆₇	—	2	1	no	—
775	C₄×C₆₇	—	2	1	no	—
776	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
777	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	1	no	—
786	Dic₆₇	—	2	1	no	—
787	Dic₆₇	—	2	1	no	—
788	Dic₆₇	—	2	1	no	—
789	Dic₆₇	—	2	1	no	—
790	Dic₆₇	#519	1	2	yes	—
791	Dic₆₇	#568	1	2	yes	—
792	#60254	—	67	1	no	maximal, Sylow
793	C₂×C₆₇	—	4	1	no	—
794	C₂×C₆₇	C₂×#519	1	1	yes	characteristic
795	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
796	C₂×C₆₇	#3573	1	1	yes	characteristic
797	D₆₇	—	2	2	no	—
798	D₆₇	—	4	1	no	—
799	Q₈×#41	—	67	1	no	—
800	#2987	—	67	1	no	—
801	#2987	—	67	1	no	—
802	#2987	—	67	1	no	—
803	#2987	D₆₇	1	1	yes	characteristic, complemented
804	#2986	—	67	1	no	—
805	#2986	—	67	1	no	—
806	#2985	—	67	1	no	—
807	#2985	—	67	1	no	—
808	#2985	—	67	1	no	—
809	#2985	—	67	1	no	—
810	#2985	—	67	1	no	—
811	#2985	—	67	1	no	—
812	#2984	—	67	1	no	—
813	#2984	—	67	1	no	—
814	#2983	—	67	1	no	—
815	#2983	—	67	1	no	—
816	Q₈×M₁₆	—	67	1	no	—
817	#2962	—	67	1	no	—
818	#2962	—	67	1	no	—
819	#2962	—	67	1	no	—
820	#2961	—	67	1	no	—
821	#2961	—	67	1	no	—
822	#2960	—	67	1	no	—
823	C₂×#446	—	67	1	no	—
824	#2925	—	67	1	no	—
825	#2925	—	67	1	no	—
826	#2925	—	67	1	no	—
827	#2923	—	67	1	no	—
828	#2923	—	67	1	no	—
829	#2922	—	67	1	no	—
830	C₆₇	#60254	1	1	yes	characteristic, complemented, Sylow
831	Q₈²	—	67	1	no	—
832	#557	—	67	1	no	—
833	#557	—	67	1	no	—
834	#557	—	67	1	no	—
835	#554	—	67	1	no	—
836	#554	—	67	1	no	—
837	#554	—	67	1	no	—
838	#554	—	67	1	no	—
839	#554	—	67	1	no	—
840	#554	—	67	1	no	—
841	#554	—	67	1	no	—
842	#554	—	67	1	no	—
843	#554	—	67	1	no	—
844	D₄×Q₈	—	67	1	no	—
845	D₄×Q₈	—	67	1	no	—
846	D₄×Q₈	—	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	—	67	1	no	—
853	#533	—	67	1	no	—
854	#533	—	67	1	no	—
855	#533	C₂×D₆₇	1	1	yes	characteristic
856	C₄×#41	—	67	1	no	—
857	C₄×#41	—	67	1	no	—
858	C₄×#41	—	67	1	no	—
859	C₂×C₄×Q₈	—	67	1	no	—
860	C₂×C₄×Q₈	—	67	1	no	—
861	C₂×C₄×Q₈	—	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	—	67	1	no	—
899	#446	—	67	1	no	—
900	#446	—	67	1	no	—
901	#446	—	67	1	no	—
902	#446	—	67	1	no	—
903	#446	—	67	1	no	—
904	#446	—	67	1	no	—
905	#446	—	67	1	no	—
906	#446	C₂×D₆₇	1	1	yes	characteristic
907	#446	C₂×D₆₇	1	1	yes	characteristic
908	#446	C₂×D₆₇	1	1	yes	characteristic
909	#446	C₂×D₆₇	1	1	yes	characteristic
910	#446	C₂×D₆₇	1	1	yes	characteristic
911	#446	C₂×D₆₇	1	1	yes	characteristic
912	#446	C₂×D₆₇	1	1	yes	characteristic
913	#446	C₂×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
919	C₈×Q₈	—	67	1	no	—
920	C₈×Q₈	—	67	1	no	—
921	C₈×Q₈	—	67	1	no	—
922	C₈×Q₈	—	67	1	no	—
923	C₈×Q₈	—	67	1	no	—
924	C₈×Q₈	—	67	1	no	—
925	C₈×Q₈	—	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	C₂×D₆₇	1	1	yes	characteristic
947	#433	C₂×D₆₇	1	1	yes	characteristic
948	#433	C₂×D₆₇	1	1	yes	characteristic
949	#433	C₂×D₆₇	1	1	yes	characteristic
950	#432	—	67	1	no	—
951	#432	—	67	1	no	—
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	—	67	1	no	—
960	#432	—	67	1	no	—
961	#432	—	67	1	no	—
962	#432	C₂×D₆₇	1	1	yes	characteristic
963	#432	C₂×D₆₇	1	1	yes	characteristic
964	#431	—	67	1	no	—
965	#431	—	67	1	no	—
966	#431	—	67	1	no	—
967	#431	—	67	1	no	—
968	#431	—	67	1	no	—
969	#431	—	67	1	no	—
970	#431	—	67	1	no	—
971	#431	—	67	1	no	—
972	#431	—	67	1	no	—
973	#431	—	67	1	no	—
974	#424	—	67	1	no	—
975	#424	—	67	1	no	—
976	#424	—	67	1	no	—
977	#424	—	67	1	no	—
978	#424	—	67	1	no	—
979	#424	—	67	1	no	—
980	#423	—	67	1	no	—
981	#423	—	67	1	no	—
982	#423	—	67	1	no	—
983	C₂×C₄⋊C₈	—	67	1	no	—
984	C₂×C₄⋊C₈	—	67	1	no	—
985	C₂×C₄⋊C₈	—	67	1	no	—
986	#408	—	67	1	no	—
987	#408	—	67	1	no	—
988	#408	—	67	1	no	—
989	#408	—	67	1	no	—
990	#405	—	67	1	no	—
991	#405	—	67	1	no	—
992	#405	—	67	1	no	—
993	#405	—	67	1	no	—
994	#405	—	67	1	no	—
995	#405	—	67	1	no	—
996	C₄×M₁₆	—	67	1	no	—
997	C₄×M₁₆	—	67	1	no	—
998	C₄×M₁₆	—	67	1	no	—
999	C₂×#97	—	67	1	no	—
1000	C₂×#97	—	67	1	no	—
1001	C₂×C₄×C₈	—	67	1	no	—
1002	C₂×#41	—	67	1	no	—
1003	C₂²×Q₈	—	67	1	no	—
1004	C₂²×Q₈	—	67	1	no	—
1005	C₂²×Q₈	—	67	1	no	—
1006	C₂×M₁₆	—	67	1	no	—
1007	C₂×M₁₆	—	67	1	no	—
1008	C₂×M₁₆	—	67	1	no	—
1009	C₂×M₁₆	—	67	1	no	—
1010	C₂²×C₈	—	67	1	no	—
1011	C₂²×C₈	—	67	1	no	—
1012	C₂²×C₈	—	67	1	no	—
1013	C₂²×C₈	—	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	—	67	1	no	—
1028	C₄⋊Q₈	—	67	1	no	—
1029	C₄⋊Q₈	—	67	1	no	—
1030	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1031	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
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	C₄×D₆₇	1	1	yes	characteristic
1049	#125	C₄×D₆₇	1	1	yes	characteristic
1050	C₂²⋊Q₈	—	67	1	no	—
1051	C₂²⋊Q₈	—	67	1	no	—
1052	C₂²⋊Q₈	—	67	1	no	—
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	C₄×D₆₇	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
1086	C₄×Q₈	—	67	1	no	—
1087	C₄×Q₈	—	67	1	no	—
1088	C₄×Q₈	—	67	1	no	—
1089	C₄×Q₈	—	67	1	no	—
1090	C₄×Q₈	—	67	1	no	—
1091	C₄×Q₈	—	67	1	no	—
1092	C₄×Q₈	—	67	1	no	—
1093	C₄×Q₈	—	67	1	no	—
1094	C₄×Q₈	—	67	1	no	—
1095	C₄×Q₈	—	67	1	no	—
1096	C₄×Q₈	—	67	1	no	—
1097	C₄×Q₈	—	67	1	no	—
1098	C₄×Q₈	—	67	1	no	—
1099	C₄×Q₈	—	67	1	no	—
1100	C₄×Q₈	—	67	1	no	—
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	—	67	1	no	—
1114	C₄×Q₈	—	67	1	no	—
1115	C₄×Q₈	—	67	1	no	—
1116	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1117	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1118	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1119	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1120	C₄×D₄	—	67	1	no	—
1121	C₄×D₄	—	67	1	no	—
1122	C₄×D₄	—	67	1	no	—
1123	C₄×D₄	—	67	1	no	—
1124	C₄×D₄	—	67	1	no	—
1125	C₄×D₄	—	67	1	no	—
1126	C₄×D₄	—	67	1	no	—
1127	C₄×D₄	—	67	1	no	—
1128	C₄×D₄	—	67	1	no	—
1129	C₄×D₄	—	67	1	no	—
1130	C₄×D₄	—	67	1	no	—
1131	C₄×D₄	—	67	1	no	—
1132	C₄×D₄	—	67	1	no	—
1133	C₄×D₄	—	67	1	no	—
1134	C₄×D₄	—	67	1	no	—
1135	C₄×D₄	—	67	1	no	—
1136	C₄×D₄	—	67	1	no	—
1137	C₄×D₄	—	67	1	no	—
1138	#117	—	67	1	no	—
1139	#117	—	67	1	no	—
1140	#117	—	67	1	no	—
1141	#117	—	67	1	no	—
1142	#117	—	67	1	no	—
1143	#117	—	67	1	no	—
1144	#117	—	67	1	no	—
1145	#117	C₂²×D₆₇	1	1	yes	characteristic
1146	#117	C₂²×D₆₇	1	1	yes	characteristic
1147	C₂×C₄⋊C₄	—	67	1	no	—
1148	C₂×C₄⋊C₄	—	67	1	no	—
1149	C₂×C₄⋊C₄	—	67	1	no	—
1150	C₂×C₄⋊C₄	—	67	1	no	—
1151	C₂×C₄⋊C₄	—	67	1	no	—
1152	C₂×C₄⋊C₄	—	67	1	no	—
1153	C₂×C₄⋊C₄	—	67	1	no	—
1154	C₂×C₄⋊C₄	—	67	1	no	—
1155	C₂×C₄⋊C₄	—	67	1	no	—
1156	C₂×C₄²	—	67	1	no	—
1157	C₂×C₄²	—	67	1	no	—
1158	C₂×C₄²	—	67	1	no	—
1159	C₂×C₄²	—	67	1	no	—
1160	C₂×C₄²	—	67	1	no	—
1161	C₂×C₄²	—	67	1	no	—
1162	C₂×C₄²	—	67	1	no	—
1163	C₂×C₄²	—	67	1	no	—
1164	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1196	C₄⋊C₈	—	67	1	no	—
1197	C₄⋊C₈	—	67	1	no	—
1198	C₄⋊C₈	—	67	1	no	—
1199	C₄⋊C₈	—	67	1	no	—
1200	C₄⋊C₈	—	67	1	no	—
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	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1208	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1209	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1210	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1211	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1212	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1220	C₂²⋊C₈	—	67	1	no	—
1221	C₂²⋊C₈	—	67	1	no	—
1222	C₂²⋊C₈	—	67	1	no	—
1223	C₂²⋊C₈	—	67	1	no	—
1224	C₂²⋊C₈	—	67	1	no	—
1225	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1226	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1227	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1228	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1242	#97	—	67	1	no	—
1243	#97	—	67	1	no	—
1244	#97	—	67	1	no	—
1245	#97	—	67	1	no	—
1246	#97	—	67	1	no	—
1247	#97	C₂²×D₆₇	1	1	yes	characteristic
1248	#97	C₂²×D₆₇	1	1	yes	characteristic
1249	#97	C₂²×D₆₇	1	1	yes	characteristic
1250	#97	C₂²×D₆₇	1	1	yes	characteristic
1251	#97	C₂²×D₆₇	1	1	yes	characteristic
1252	#97	C₂²×D₆₇	1	1	yes	characteristic
1253	#97	C₂²×D₆₇	1	1	yes	characteristic
1254	#97	C₂²×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1266	C₄×C₈	—	67	1	no	—
1267	C₄×C₈	—	67	1	no	—
1268	C₄×C₈	—	67	1	no	—
1269	C₄×C₈	—	67	1	no	—
1270	C₄×C₈	—	67	1	no	—
1271	C₄×C₈	—	67	1	no	—
1272	C₄×C₈	—	67	1	no	—
1273	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1274	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1275	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1276	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
1277	#41	—	134	2	no	—
1278	#41	—	134	2	no	—
1279	C₂×Q₈	—	268	2	no	—
1280	C₂×Q₈	—	268	2	no	—
1281	C₂×Q₈	—	268	2	no	—
1282	C₂×Q₈	—	67	1	no	—
1283	C₂×Q₈	—	67	1	no	—
1284	C₂×Q₈	—	67	1	no	—
1285	C₂×Q₈	—	67	1	no	—
1286	C₂×Q₈	—	67	1	no	—
1287	C₂×Q₈	—	67	1	no	—
1288	C₂×Q₈	—	67	1	no	—
1289	C₂×Q₈	—	67	1	no	—
1290	C₂×Q₈	—	67	1	no	—
1291	C₂×Q₈	—	67	1	no	—
1292	C₂×Q₈	—	67	1	no	—
1293	C₂×Q₈	—	67	1	no	—
1294	C₂×Q₈	—	67	1	no	—
1295	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1296	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1297	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1298	C₂×Q₈	C₂×C₄×D₆₇	1	1	yes	characteristic
1299	C₂×D₄	—	67	1	no	—
1300	C₂×D₄	—	67	1	no	—
1301	C₂×D₄	—	67	1	no	—
1302	C₂²×C₄	—	67	1	no	—
1303	C₂²×C₄	—	67	1	no	—
1304	C₂²×C₄	—	67	1	no	—
1305	C₂²×C₄	—	67	1	no	—
1306	C₂²×C₄	—	67	1	no	—
1307	C₂²×C₄	—	67	1	no	—
1308	C₂²×C₄	—	67	1	no	—
1309	C₂²×C₄	—	67	1	no	—
1310	C₂²×C₄	—	67	1	no	—
1311	C₂²×C₄	—	67	1	no	—
1312	C₂²×C₄	—	67	1	no	—
1313	C₂²×C₄	—	67	1	no	—
1314	C₂²×C₄	—	67	1	no	—
1315	C₂²×C₄	—	67	1	no	—
1316	C₂²×C₄	—	67	1	no	—
1317	C₂²×C₄	—	67	1	no	—
1318	C₂²×C₄	—	67	1	no	—
1319	C₂²×C₄	—	67	1	no	—
1320	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1321	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1323	M₁₆	—	134	2	no	—
1324	M₁₆	—	134	2	no	—
1325	M₁₆	—	134	2	no	—
1326	M₁₆	—	134	2	no	—
1327	C₂×C₈	—	67	1	no	—
1328	C₂×C₈	—	67	1	no	—
1329	C₂×C₈	—	67	1	no	—
1330	C₂×C₈	—	67	1	no	—
1331	C₂×C₈	—	67	1	no	—
1332	C₂×C₈	—	67	1	no	—
1333	C₂×C₈	—	67	1	no	—
1334	C₂×C₈	—	67	1	no	—
1335	C₂×C₈	—	134	2	no	—
1336	C₂×C₈	—	134	2	no	—
1337	C₂×C₈	—	134	2	no	—
1338	C₂×C₈	—	134	2	no	—
1339	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1340	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1341	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1345	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1346	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1389	C₄⋊C₄	—	67	1	no	—
1390	C₄⋊C₄	—	67	1	no	—
1391	C₄⋊C₄	—	67	1	no	—
1392	C₄⋊C₄	—	67	1	no	—
1393	C₄⋊C₄	—	67	1	no	—
1394	C₄⋊C₄	—	67	1	no	—
1395	C₄⋊C₄	—	67	1	no	—
1396	C₄⋊C₄	—	67	1	no	—
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	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1425	C₂²⋊C₄	—	67	1	no	—
1426	C₂²⋊C₄	—	67	1	no	—
1427	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
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	—	67	1	no	—
1445	C₄²	—	67	1	no	—
1446	C₄²	—	67	1	no	—
1447	C₄²	—	67	1	no	—
1448	C₄²	—	67	1	no	—
1449	C₄²	—	67	1	no	—
1450	C₄²	—	67	1	no	—
1451	C₄²	—	67	1	no	—
1452	C₄²	—	67	1	no	—
1453	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1454	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1455	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1456	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1457	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1458	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1459	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1460	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1461	C₂³	—	67	1	no	—
1462	C₂³	—	67	1	no	—
1463	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1464	Q₈	—	4	1	no	—
1465	Q₈	—	4	1	no	—
1466	Q₈	—	4	1	no	—
1467	Q₈	—	4	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	Q₈	—	268	1	no	—
1475	Q₈	—	268	1	no	—
1476	Q₈	—	134	2	no	—
1477	Q₈	—	134	2	no	—
1478	Q₈	—	134	2	no	—
1479	Q₈	—	134	2	no	—
1480	Q₈	—	134	2	no	—
1481	D₄	—	134	2	no	—
1482	D₄	—	134	2	no	—
1483	D₄	—	134	2	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	4	1	no	—
1488	C₂×C₄	—	268	1	no	—
1489	C₂×C₄	—	268	1	no	—
1490	C₂×C₄	—	268	1	no	—
1491	C₂×C₄	—	268	1	no	—
1492	C₂×C₄	—	268	1	no	—
1493	C₂×C₄	—	268	1	no	—
1494	C₂×C₄	—	268	1	no	—
1495	C₂×C₄	—	268	1	no	—
1496	C₂×C₄	—	268	1	no	—
1497	C₂×C₄	—	268	1	no	—
1498	C₂×C₄	—	268	1	no	—
1499	C₂×C₄	—	268	1	no	—
1500	C₂×C₄	—	268	1	no	—
1501	C₂×C₄	—	67	1	no	—
1502	C₂×C₄	—	67	1	no	—
1503	C₂×C₄	—	67	2	no	—
1504	C₂×C₄	—	67	2	no	—
1505	C₂×C₄	—	67	1	no	—
1506	C₂×C₄	—	67	1	no	—
1507	C₂×C₄	—	67	1	no	—
1508	C₂×C₄	—	67	1	no	—
1509	C₂×C₄	—	67	1	no	—
1510	C₂×C₄	—	67	1	no	—
1511	C₂×C₄	—	67	1	no	—
1512	C₂×C₄	—	67	1	no	—
1513	C₂×C₄	—	67	1	no	—
1514	C₂×C₄	—	67	1	no	—
1515	C₂×C₄	—	67	1	no	—
1516	C₂×C₄	—	67	1	no	—
1517	C₂×C₄	—	134	2	no	—
1518	C₂×C₄	—	134	2	no	—
1519	C₂×C₄	—	134	2	no	—
1520	C₂×C₄	—	134	1	no	—
1521	C₂×C₄	—	134	1	no	—
1522	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1523	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1524	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1525	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1526	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1527	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1528	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1529	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1530	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1531	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1532	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1533	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1534	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1535	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1536	C₈	—	2	1	no	—
1537	C₈	—	2	1	no	—
1538	C₈	—	2	1	no	—
1539	C₈	—	2	1	no	—
1540	C₈	—	2	1	no	—
1541	C₈	—	2	1	no	—
1542	C₈	—	2	1	no	—
1543	C₈	—	2	1	no	—
1544	C₈	—	134	1	no	—
1545	C₈	—	134	1	no	—
1546	C₈	—	134	1	no	—
1547	C₈	—	134	1	no	—
1548	C₈	—	134	1	no	—
1549	C₈	—	134	1	no	—
1550	C₈	—	134	1	no	—
1551	C₈	—	134	1	no	—
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	67	2	no	—
1556	C₂²	—	134	1	no	—
1557	C₂²	—	134	1	no	—
1558	C₂²	—	134	1	no	—
1559	C₂²	—	134	1	no	—
1560	C₂²	—	134	1	no	—
1561	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	67	2	no	—
1576	C₄	—	67	2	no	—
1577	C₄	—	134	1	no	—
1578	C₄	—	134	1	no	—
1579	C₄	—	134	1	no	—
1580	C₄	—	134	1	no	—
1581	C₄	—	134	1	no	—
1582	C₄	—	134	1	no	—
1583	C₄	—	134	1	no	—
1584	C₄	—	134	1	no	—
1585	C₄	—	134	1	no	—
1586	C₄	—	134	1	no	—
1587	C₄	—	134	1	no	—
1588	C₄	—	134	1	no	—
1589	C₄	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1590	C₄	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1591	C₂	—	4	1	no	—
1592	C₂	—	268	1	no	—
1593	C₂	—	134	2	no	—
1594	C₂	#519×D₆₇	1	1	yes	characteristic
1595	C₂	#568×D₆₇	1	1	yes	characteristic
1596	C₂	#22574922	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₆₇
commutator, socle	C₂²×C₆₇	C₂⁴×C₄
Fitting	C₆₇×#2987	C₂
prime radical	C₂×#11761628	C₂³
cosocle	C₂×C₄×C₆₇	C₂⁵
hypercenter	#2987	D₆₇
hypocenter	C₆₇	#60254
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #2987

Complements

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

N	H ≅ G/N	type
2. #22569313	C₂	semidirect
3. #22569312	C₂	semidirect
4. #22569312	C₂	semidirect
5. #22569308	C₂	semidirect
6. #22569307	C₂	semidirect
7. #22569305	C₂	semidirect
8. #22569304	C₂	semidirect
9. #22569302	C₂	semidirect
10. #22569302	C₂	semidirect
11. #22569301	C₂	semidirect
12. #22569301	C₂	semidirect
13. #22569299	C₂	semidirect
14. #22569295	C₂	semidirect
15. #22569293	C₂	semidirect
16. #22569291	C₂	semidirect
17. #22569161	C₂	semidirect
18. #22569157	C₂	semidirect
19. #22569154	C₂	semidirect
20. #22569154	C₂	semidirect
21. #22569145	C₂	semidirect
22. #22569145	C₂	semidirect
23. #22569140	C₂	semidirect
24. #446×D₆₇	C₂	semidirect
31. C₆₇×#2987	C₂	semidirect
803. #2987	D₆₇	semidirect
830. C₆₇	#60254	semidirect

Maximal subgroups

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

subgroup	index
#22573787	2
#22569313	2
#22569312	2
#22569308	2
#22569307	2
#22569305	2
#22569304	2
#22569302	2
#22569301	2
#22569299	2
#22569295	2
#22569293	2
#22569291	2
#22569161	2
#22569157	2
#22569154	2
#22569145	2
#22569140	2
#446×D₆₇	2
#22568876	2
#22568872	2
#22568857	2
#22568855	2
#22568850	2
C₆₇×#2987	2
#60254	67