Subgroups — #13524873

Order 1792.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2574	C₂	1	1	yes	maximal, characteristic
2	#11735245	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735185	C₂	1	1	yes	maximal, characteristic, complemented
4	#11734762	C₂	1	1	yes	maximal, characteristic
5	#11734727	C₂	1	1	yes	maximal, characteristic
6	#11734638	C₂	1	1	yes	maximal, characteristic, complemented
7	#11734616	C₂	1	1	yes	maximal, characteristic, complemented
8	#11734246	C₂	1	1	yes	maximal, characteristic
9	#11734223	C₂	1	1	yes	maximal, characteristic
10	#11733994	C₂	1	1	yes	maximal, characteristic, complemented
11	#11733922	C₂	1	1	yes	maximal, characteristic, complemented
12	#11733013	C₂	1	1	yes	maximal, characteristic
13	#11732959	C₂	1	1	yes	maximal, characteristic
14	#11732896	C₂	1	1	yes	maximal, characteristic
15	#11732896	C₂	1	1	yes	maximal, characteristic
16	#11732486	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732441	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732438	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732388	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732383	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732383	C₂	1	1	yes	maximal, characteristic, complemented
22	#11731878	C₂	1	1	yes	maximal, characteristic
23	#11731826	C₂	1	1	yes	maximal, characteristic
24	#11731621	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731595	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731375	C₂	1	1	yes	maximal, characteristic
27	#11731311	C₂	1	1	yes	maximal, characteristic
28	#11731173	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#6450	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730981	C₂	1	1	yes	maximal, characteristic
31	C₄×#6440	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic
33	C₂×#6487	C₂²	1	1	yes	characteristic
34	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
35	C₂×#6452	C₂²	1	1	yes	characteristic
36	C₂×#6450	C₂²	1	1	yes	characteristic
37	C₂×#6450	C₂²	1	1	yes	characteristic
38	C₂×#6450	C₂²	1	1	yes	characteristic
39	C₂×#6450	C₂²	1	1	yes	characteristic
40	C₂×#6441	C₂²	1	1	yes	characteristic
41	C₂×#6440	C₂²	1	1	yes	characteristic
42	C₂×#6440	C₂²	1	1	yes	characteristic
43	C₂×#6433	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
45	C₇×#398	C₂²	1	1	yes	characteristic
46	C₇×#396	C₂²	1	1	yes	characteristic
47	C₇×#395	C₂²	1	1	yes	characteristic
48	C₇×#393	C₂²	1	1	yes	characteristic
49	C₇×#391	C₂²	1	1	yes	characteristic
50	C₇×#388	C₂²	1	1	yes	characteristic
51	C₇×#388	C₂²	1	1	yes	characteristic
52	C₇×#387	C₂²	1	1	yes	characteristic
53	C₇×#387	C₂²	1	1	yes	characteristic
54	C₇×#387	C₂²	1	1	yes	characteristic
55	C₇×#385	C₂²	1	1	yes	characteristic
56	C₇×#382	C₂²	1	1	yes	characteristic
57	C₇×#380	C₂²	1	1	yes	characteristic
58	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	#90002	C₂²	1	1	yes	characteristic
61	#90001	C₂²	1	1	yes	characteristic
62	#90001	C₂²	1	1	yes	characteristic
63	#89982	C₂²	1	1	yes	characteristic
64	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
65	#89756	C₂²	1	1	yes	characteristic
66	#89756	C₂²	1	1	yes	characteristic
67	#89756	C₂²	1	1	yes	characteristic
68	#89755	C₂²	1	1	yes	characteristic
69	#89755	C₂²	1	1	yes	characteristic
70	#89753	C₂²	1	1	yes	characteristic
71	#89753	C₂²	1	1	yes	characteristic
72	#89752	C₂²	1	1	yes	characteristic
73	#89751	C₂²	1	1	yes	characteristic
74	#89751	C₂²	1	1	yes	characteristic
75	#89751	C₂²	1	1	yes	characteristic
76	#89751	C₂²	1	1	yes	characteristic
77	#89750	C₂²	1	1	yes	characteristic
78	#89750	C₂²	1	1	yes	characteristic
79	#89750	C₂²	1	1	yes	characteristic
80	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
81	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
84	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
87	#89746	C₂²	1	1	yes	characteristic
88	#89745	C₂²	1	1	yes	characteristic
89	#89745	C₂²	1	1	yes	characteristic
90	#89745	C₂²	1	1	yes	characteristic
91	#89745	C₂²	1	1	yes	characteristic
92	#89744	C₂²	1	1	yes	characteristic
93	#89744	C₂²	1	1	yes	characteristic
94	#89744	C₂²	1	1	yes	characteristic
95	#89744	C₂²	1	1	yes	characteristic
96	#89723	C₂²	1	1	yes	characteristic
97	#89723	C₂²	1	1	yes	characteristic
98	#89721	C₂²	1	1	yes	characteristic
99	#89721	C₂²	1	1	yes	characteristic
100	#89720	C₂²	1	1	yes	characteristic
101	#89720	C₂²	1	1	yes	characteristic
102	#89720	C₂²	1	1	yes	characteristic
103	#89719	C₂²	1	1	yes	characteristic
104	#89718	C₂²	1	1	yes	characteristic
105	#89718	C₂²	1	1	yes	characteristic
106	#89717	C₂²	1	1	yes	characteristic
107	#89717	C₂²	1	1	yes	characteristic
108	#89716	C₂²	1	1	yes	characteristic
109	#89716	C₂²	1	1	yes	characteristic
110	#89714	C₂²	1	1	yes	characteristic
111	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
112	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
113	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
114	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
117	#89705	C₂²	1	1	yes	characteristic
118	#89705	C₂²	1	1	yes	characteristic
119	#89705	C₂²	1	1	yes	characteristic
120	#89705	C₂²	1	1	yes	characteristic
121	#89705	C₂²	1	1	yes	characteristic
122	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
123	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
124	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
125	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
126	C₄²×Dic₇	C₂²	1	1	yes	characteristic
127	C₄²×Dic₇	C₂²	1	1	yes	characteristic
128	C₄²×Dic₇	C₂²	1	1	yes	characteristic
129	C₄²×Dic₇	C₂²	1	1	yes	characteristic
130	#89700	C₂²	1	1	yes	characteristic
131	#89433	C₂²	1	1	yes	characteristic
132	#89431	C₂²	1	1	yes	characteristic
133	#89430	C₂²	1	1	yes	characteristic
134	#89429	C₂²	1	1	yes	characteristic
135	#89429	C₂²	1	1	yes	characteristic
136	#89429	C₂²	1	1	yes	characteristic
137	#89429	C₂²	1	1	yes	characteristic
138	#89428	C₂²	1	1	yes	characteristic
139	#89428	C₂²	1	1	yes	characteristic
140	#89428	C₂²	1	1	yes	characteristic
141	#89427	C₂²	1	1	yes	characteristic
142	#89427	C₂²	1	1	yes	characteristic
143	#89427	C₂²	1	1	yes	characteristic
144	#89426	C₂²	1	1	yes	characteristic
145	#89426	C₂²	1	1	yes	characteristic
146	#89426	C₂²	1	1	yes	characteristic
147	#89425	C₂²	1	1	yes	characteristic
148	#89425	C₂²	1	1	yes	characteristic
149	#89425	C₂²	1	1	yes	characteristic
150	#89424	C₂²	1	1	yes	characteristic
151	#89424	C₂²	1	1	yes	characteristic
152	#89424	C₂²	1	1	yes	characteristic
153	#89424	C₂²	1	1	yes	characteristic
154	#89424	C₂²	1	1	yes	characteristic
155	#89424	C₂²	1	1	yes	characteristic
156	#89424	C₂²	1	1	yes	characteristic
157	#89424	C₂²	1	1	yes	characteristic
158	#89424	C₂²	1	1	yes	characteristic
159	#89424	C₂²	1	1	yes	characteristic
160	#89422	C₂²	1	1	yes	characteristic
161	#89421	C₂²	1	1	yes	characteristic
162	#89421	C₂²	1	1	yes	characteristic
163	#89421	C₂²	1	1	yes	characteristic
164	#89421	C₂²	1	1	yes	characteristic
165	#89421	C₂²	1	1	yes	characteristic
166	#89421	C₂²	1	1	yes	characteristic
167	#89421	C₂²	1	1	yes	characteristic
168	#89421	C₂²	1	1	yes	characteristic
169	#89421	C₂²	1	1	yes	characteristic
170	#89421	C₂²	1	1	yes	characteristic
171	#89421	C₂²	1	1	yes	characteristic
172	#89421	C₂²	1	1	yes	characteristic
173	#89421	C₂²	1	1	yes	characteristic
174	#89421	C₂²	1	1	yes	characteristic
175	#89420	C₂²	1	1	yes	characteristic
176	#89420	C₂²	1	1	yes	characteristic
177	#89420	C₂²	1	1	yes	characteristic
178	#89420	C₂²	1	1	yes	characteristic
179	#89419	C₂²	1	1	yes	characteristic
180	#89419	C₂²	1	1	yes	characteristic
181	#89419	C₂²	1	1	yes	characteristic
182	#89418	C₂²	1	1	yes	characteristic
183	#89418	C₂²	1	1	yes	characteristic
184	#89418	C₂²	1	1	yes	characteristic
185	#89418	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#34882	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
194	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
195	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
220	Q₈×Dic₇	—	2	4	no	—
221	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
230	#6487	—	2	4	no	—
231	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇	—	2	4	no	—
262	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
290	#6452	—	2	4	no	—
291	#6450	—	2	4	no	—
292	#6450	—	2	4	no	—
293	#6450	—	2	4	no	—
294	#6450	—	2	4	no	—
295	#6441	—	2	4	no	—
296	#6440	—	2	4	no	—
297	#6440	Q₈	1	8	yes	complemented
298	#6433	—	2	4	no	—
299	C₄×Dic₁₄	—	2	4	no	—
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇×#95	C₂³	1	1	yes	characteristic
311	C₇×#95	C₂³	1	1	yes	characteristic
312	C₇×#95	C₂³	1	1	yes	characteristic
313	C₇×#95	C₂³	1	1	yes	characteristic
314	C₇⋊#95	C₂³	1	1	yes	characteristic
315	C₇⋊#95	C₂³	1	1	yes	characteristic
316	C₇⋊#95	C₂³	1	1	yes	characteristic
317	C₇⋊#95	C₂³	1	1	yes	characteristic
318	C₇⋊#95	C₂³	1	1	yes	characteristic
319	C₇⋊#95	C₂³	1	1	yes	characteristic
320	C₇⋊#95	C₂³	1	1	yes	characteristic
321	C₇⋊#95	C₂³	1	1	yes	characteristic
322	C₇⋊#95	C₂³	1	1	yes	characteristic
323	C₇⋊#95	C₂³	1	1	yes	characteristic
324	C₇⋊#95	C₂³	1	1	yes	characteristic
325	C₇⋊#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	#2586	—	7	1	no	—
357	#2586	—	7	1	no	—
358	#2585	—	7	1	no	—
359	#2585	—	7	1	no	—
360	#2574	—	7	1	no	—
361	#2574	D₇	1	1	yes	characteristic
362	#2556	—	7	1	no	—
363	#2556	—	7	1	no	—
364	#2522	—	7	1	no	—
365	#2522	—	7	1	no	—
366	#2520	—	7	1	no	—
367	#2520	—	7	1	no	—
368	#2465	—	7	1	no	—
369	#2465	—	7	1	no	—
370	#2462	—	7	1	no	—
371	#2462	—	7	1	no	—
372	#2399	—	7	1	no	—
373	#2399	—	7	1	no	—
374	#2396	—	7	1	no	—
375	#2396	—	7	1	no	—
376	C₄×#125	—	7	1	no	—
377	C₄×#125	—	7	1	no	—
378	C₄×C₂²⋊Q₈	—	7	1	no	—
379	C₄×C₂²⋊Q₈	—	7	1	no	—
380	#2298	—	7	1	no	—
381	#2298	—	7	1	no	—
382	#2295	—	7	1	no	—
383	#2295	—	7	1	no	—
384	#2295	—	7	1	no	—
385	C₄²×Q₈	—	7	1	no	—
386	C₄×#117	—	7	1	no	—
387	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
388	C₂×C₇×Q₈	—	2	2	no	—
389	C₂×C₇×Q₈	—	4	1	no	—
390	C₂×C₇×Q₈	—	4	1	no	—
391	C₂²×C₄×C₇	—	2	2	no	—
392	C₂²×C₄×C₇	—	2	2	no	—
393	C₂²×C₄×C₇	—	4	1	no	—
394	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇	—	2	2	no	—
409	C₂²×Dic₇	—	2	2	no	—
410	C₂²×Dic₇	—	2	2	no	—
411	C₂²×Dic₇	—	2	2	no	—
412	C₂²×Dic₇	—	4	1	no	—
413	C₂²×Dic₇	C₂×Q₈	1	4	yes	—
414	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂×Dic₁₄	—	2	2	no	—
431	C₂×Dic₁₄	—	2	2	no	—
432	C₂×Dic₁₄	—	2	2	no	—
433	C₂×Dic₁₄	—	2	2	no	—
434	C₂×Dic₁₄	—	2	2	no	—
435	C₂×Dic₁₄	—	2	2	no	—
436	C₂×Dic₁₄	—	2	2	no	—
437	C₂×Dic₁₄	—	4	1	no	—
438	C₂×Dic₁₄	—	4	1	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	2	no	—
441	C₇×C₄⋊C₄	—	2	2	no	—
442	C₇×C₄⋊C₄	—	2	2	no	—
443	C₇×C₄⋊C₄	—	2	2	no	—
444	C₇×C₄⋊C₄	—	4	1	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₄⋊C₄	—	4	1	no	—
447	C₇×C₄⋊C₄	—	4	1	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	4	1	no	—
451	C₇×C₂²⋊C₄	—	4	1	no	—
452	C₇×C₂²⋊C₄	—	4	1	no	—
453	C₇×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
454	C₄²×C₇	—	2	2	no	—
455	C₄²×C₇	—	2	2	no	—
456	C₄²×C₇	—	4	1	no	—
457	C₄²×C₇	—	4	1	no	—
458	C₂²⋊Dic₇	—	2	2	no	—
459	C₂²⋊Dic₇	—	2	2	no	—
460	C₂²⋊Dic₇	—	2	2	no	—
461	C₂²⋊Dic₇	—	2	2	no	—
462	C₂²⋊Dic₇	—	4	1	no	—
463	C₂²⋊Dic₇	C₂×Q₈	1	4	yes	—
464	C₄⋊Dic₇	—	2	2	no	—
465	C₄⋊Dic₇	—	2	2	no	—
466	C₄⋊Dic₇	—	2	2	no	—
467	C₄⋊Dic₇	—	2	2	no	—
468	C₄⋊Dic₇	—	2	2	no	—
469	C₄⋊Dic₇	—	2	2	no	—
470	C₄⋊Dic₇	—	4	1	no	—
471	C₄⋊Dic₇	—	4	1	no	—
472	C₄⋊Dic₇	#41	1	4	yes	—
473	Dic₇⋊C₄	—	2	2	no	—
474	Dic₇⋊C₄	—	2	2	no	—
475	Dic₇⋊C₄	—	2	2	no	—
476	Dic₇⋊C₄	—	2	2	no	—
477	Dic₇⋊C₄	—	2	2	no	—
478	Dic₇⋊C₄	—	2	2	no	—
479	Dic₇⋊C₄	—	2	2	no	—
480	Dic₇⋊C₄	—	2	2	no	—
481	Dic₇⋊C₄	—	2	2	no	—
482	Dic₇⋊C₄	—	2	2	no	—
483	Dic₇⋊C₄	—	2	2	no	—
484	Dic₇⋊C₄	—	2	2	no	—
485	Dic₇⋊C₄	—	2	2	no	—
486	Dic₇⋊C₄	—	2	2	no	—
487	Dic₇⋊C₄	—	2	2	no	—
488	Dic₇⋊C₄	—	2	2	no	—
489	Dic₇⋊C₄	—	2	2	no	—
490	Dic₇⋊C₄	—	2	2	no	—
491	Dic₇⋊C₄	—	2	2	no	—
492	Dic₇⋊C₄	—	2	2	no	—
493	Dic₇⋊C₄	—	2	2	no	—
494	Dic₇⋊C₄	—	4	1	no	—
495	Dic₇⋊C₄	—	4	1	no	—
496	Dic₇⋊C₄	—	4	1	no	—
497	Dic₇⋊C₄	—	4	1	no	—
498	Dic₇⋊C₄	—	4	1	no	—
499	Dic₇⋊C₄	—	4	1	no	—
500	Dic₇⋊C₄	C₂×Q₈	1	4	yes	—
501	Dic₇⋊C₄	C₂×Q₈	1	4	yes	—
502	Dic₇⋊C₄	#41	1	4	yes	—
503	C₄×Dic₇	—	2	2	no	—
504	C₄×Dic₇	—	2	2	no	—
505	C₄×Dic₇	—	2	2	no	—
506	C₄×Dic₇	—	2	2	no	—
507	C₄×Dic₇	—	2	2	no	—
508	C₄×Dic₇	—	2	2	no	—
509	C₄×Dic₇	—	2	2	no	—
510	C₄×Dic₇	—	2	2	no	—
511	C₄×Dic₇	—	2	2	no	—
512	C₄×Dic₇	—	2	2	no	—
513	C₄×Dic₇	—	2	2	no	—
514	C₄×Dic₇	—	2	2	no	—
515	C₄×Dic₇	—	2	2	no	—
516	C₄×Dic₇	—	2	2	no	—
517	C₄×Dic₇	—	2	2	no	—
518	C₄×Dic₇	—	2	2	no	—
519	C₄×Dic₇	—	2	2	no	—
520	C₄×Dic₇	—	2	2	no	—
521	C₄×Dic₇	—	4	1	no	—
522	C₄×Dic₇	—	4	1	no	—
523	C₄×Dic₇	—	4	1	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₄×Dic₇	—	4	1	no	—
526	C₄×Dic₇	—	4	1	no	—
527	C₄×Dic₇	C₂×Q₈	1	4	yes	—
528	C₄×Dic₇	C₂×Q₈	1	4	yes	—
529	C₄×Dic₇	#41	1	4	yes	—
530	C₄×Dic₇	#41	1	4	yes	—
531	C₂×#125	—	7	1	no	—
532	C₂×#125	—	7	1	no	—
533	C₂×C₂²⋊Q₈	—	7	1	no	—
534	C₂×C₂²⋊Q₈	—	7	1	no	—
535	C₂×C₄×Q₈	—	7	1	no	—
536	C₂×C₄×Q₈	—	7	1	no	—
537	C₂×C₄×Q₈	—	7	1	no	—
538	C₂×C₄×Q₈	—	7	1	no	—
539	C₂×C₄×Q₈	—	7	1	no	—
540	C₂×C₄×Q₈	—	7	1	no	—
541	C₂×#117	—	7	1	no	—
542	C₂×#117	—	7	1	no	—
543	C₂²×C₄²	—	7	1	no	—
544	#400	—	7	1	no	—
545	#400	—	7	1	no	—
546	#399	—	7	1	no	—
547	#399	—	7	1	no	—
548	#398	—	7	1	no	—
549	#398	—	7	1	no	—
550	#398	—	7	1	no	—
551	#398	—	7	1	no	—
552	#398	—	7	1	no	—
553	#398	—	7	1	no	—
554	#398	—	7	1	no	—
555	#398	—	7	1	no	—
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	C₂×D₇	1	1	yes	characteristic
560	#396	—	7	1	no	—
561	#396	—	7	1	no	—
562	#396	—	7	1	no	—
563	#396	C₂×D₇	1	1	yes	characteristic
564	#395	—	7	1	no	—
565	#395	—	7	1	no	—
566	#395	—	7	1	no	—
567	#395	—	7	1	no	—
568	#395	—	7	1	no	—
569	#395	—	7	1	no	—
570	#395	—	7	1	no	—
571	#395	—	7	1	no	—
572	#395	—	7	1	no	—
573	#395	C₂×D₇	1	1	yes	characteristic
574	#393	—	7	1	no	—
575	#393	C₂×D₇	1	1	yes	characteristic
576	#391	—	7	1	no	—
577	#391	—	7	1	no	—
578	#391	—	7	1	no	—
579	#391	—	7	1	no	—
580	#391	—	7	1	no	—
581	#391	—	7	1	no	—
582	#391	—	7	1	no	—
583	#391	C₂×D₇	1	1	yes	characteristic
584	#389	—	7	1	no	—
585	#389	—	7	1	no	—
586	#389	—	7	1	no	—
587	#389	—	7	1	no	—
588	#389	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	—	7	1	no	—
594	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#388	—	7	1	no	—
597	#388	—	7	1	no	—
598	#388	—	7	1	no	—
599	#388	—	7	1	no	—
600	#388	—	7	1	no	—
601	#388	—	7	1	no	—
602	#388	C₂×D₇	1	1	yes	characteristic
603	#388	C₂×D₇	1	1	yes	characteristic
604	#387	—	7	1	no	—
605	#387	—	7	1	no	—
606	#387	—	7	1	no	—
607	#387	—	7	1	no	—
608	#387	—	7	1	no	—
609	#387	—	7	1	no	—
610	#387	—	7	1	no	—
611	#387	—	7	1	no	—
612	#387	—	7	1	no	—
613	#387	—	7	1	no	—
614	#387	—	7	1	no	—
615	#387	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#387	—	7	1	no	—
625	#387	—	7	1	no	—
626	#387	—	7	1	no	—
627	#387	—	7	1	no	—
628	#387	—	7	1	no	—
629	#387	—	7	1	no	—
630	#387	—	7	1	no	—
631	#387	—	7	1	no	—
632	#387	—	7	1	no	—
633	#387	C₂×D₇	1	1	yes	characteristic
634	#387	C₂×D₇	1	1	yes	characteristic
635	#387	C₂×D₇	1	1	yes	characteristic
636	#385	—	7	1	no	—
637	#385	—	7	1	no	—
638	#385	—	7	1	no	—
639	#385	C₂×D₇	1	1	yes	characteristic
640	#382	—	7	1	no	—
641	#382	C₂×D₇	1	1	yes	characteristic
642	#380	—	7	1	no	—
643	#380	C₂×D₇	1	1	yes	characteristic
644	C₄×C₄⋊C₄	—	7	1	no	—
645	C₄×C₄⋊C₄	—	7	1	no	—
646	C₄×C₄⋊C₄	—	7	1	no	—
647	C₄×C₄⋊C₄	—	7	1	no	—
648	C₄×C₄⋊C₄	—	7	1	no	—
649	C₄×C₄⋊C₄	—	7	1	no	—
650	C₄×C₄⋊C₄	—	7	1	no	—
651	C₄×C₄⋊C₄	—	7	1	no	—
652	C₄×C₄⋊C₄	—	7	1	no	—
653	C₄×C₄⋊C₄	—	7	1	no	—
654	C₄×C₄⋊C₄	—	7	1	no	—
655	C₄×C₄⋊C₄	—	7	1	no	—
656	C₄×C₄⋊C₄	—	7	1	no	—
657	C₄×C₄⋊C₄	—	7	1	no	—
658	C₄×C₄⋊C₄	—	7	1	no	—
659	C₄×C₄⋊C₄	—	7	1	no	—
660	C₄×C₄⋊C₄	—	7	1	no	—
661	C₄×C₄⋊C₄	—	7	1	no	—
662	C₄×C₄⋊C₄	—	7	1	no	—
663	C₄×C₄⋊C₄	—	7	1	no	—
664	C₄×C₄⋊C₄	—	7	1	no	—
665	C₄×C₄⋊C₄	—	7	1	no	—
666	C₄×C₄⋊C₄	—	7	1	no	—
667	C₄×C₄⋊C₄	—	7	1	no	—
668	C₄×C₄⋊C₄	—	7	1	no	—
669	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
670	C₄×C₂²⋊C₄	—	7	1	no	—
671	C₄×C₂²⋊C₄	—	7	1	no	—
672	C₄×C₂²⋊C₄	—	7	1	no	—
673	C₄×C₂²⋊C₄	—	7	1	no	—
674	C₄×C₂²⋊C₄	—	7	1	no	—
675	C₄×C₂²⋊C₄	—	7	1	no	—
676	C₄×C₂²⋊C₄	—	7	1	no	—
677	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
678	#376	—	7	1	no	—
679	#376	—	7	1	no	—
680	#376	—	7	1	no	—
681	#376	—	7	1	no	—
682	C₄³	—	7	1	no	—
683	C₄³	—	7	1	no	—
684	C₄³	—	7	1	no	—
685	C₄³	—	7	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	—	2	1	no	—
689	C₂³×C₇	—	2	1	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	C₂²×Q₈	1	2	yes	—
693	C₂³×C₇	C₂⁵	1	1	yes	characteristic
694	C₇×Q₈	—	4	4	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	1	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	4	4	no	—
732	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
733	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
734	C₂×C₄×C₇	C₂×#41	1	2	yes	—
735	C₂×C₄×C₇	C₂×#41	1	2	yes	—
736	C₂×C₄×C₇	C₂×#41	1	2	yes	—
737	C₂×C₄×C₇	C₂×#41	1	2	yes	—
738	C₂×Dic₇	—	2	1	no	—
739	C₂×Dic₇	—	2	1	no	—
740	C₂×Dic₇	—	2	1	no	—
741	C₂×Dic₇	—	2	1	no	—
742	C₂×Dic₇	—	2	1	no	—
743	C₂×Dic₇	—	2	1	no	—
744	C₂×Dic₇	—	2	1	no	—
745	C₂×Dic₇	—	2	1	no	—
746	C₂×Dic₇	—	2	1	no	—
747	C₂×Dic₇	—	2	1	no	—
748	C₂×Dic₇	—	2	1	no	—
749	C₂×Dic₇	—	2	1	no	—
750	C₂×Dic₇	—	2	1	no	—
751	C₂×Dic₇	—	2	1	no	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	8	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	2	1	no	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	1	no	—
761	C₂×Dic₇	—	2	1	no	—
762	C₂×Dic₇	—	2	1	no	—
763	C₂×Dic₇	—	2	1	no	—
764	C₂×Dic₇	—	2	1	no	—
765	C₂×Dic₇	—	2	1	no	—
766	C₂×Dic₇	—	2	1	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	4	4	no	—
776	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
777	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
778	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
779	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
780	C₂×Dic₇	C₂×#41	1	2	yes	—
781	C₂×Dic₇	C₂×#41	1	2	yes	—
782	C₂×Dic₇	C₂×#41	1	2	yes	—
783	C₂×Dic₇	C₂×#41	1	2	yes	—
784	C₂×Dic₇	C₂×#41	1	2	yes	—
785	C₂×Dic₇	C₂×#41	1	2	yes	—
786	C₂×Dic₇	C₂×#41	1	2	yes	—
787	C₂×Dic₇	C₂×#41	1	2	yes	—
788	Dic₁₄	—	2	8	no	—
789	Dic₁₄	—	4	4	no	—
790	Dic₁₄	—	4	4	no	—
791	C₂²×Q₈	—	7	1	no	—
792	C₂²×Q₈	—	7	1	no	—
793	C₂²×Q₈	—	7	1	no	—
794	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
795	C₂³×C₄	—	7	1	no	—
796	C₂³×C₄	—	7	1	no	—
797	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
798	#125	—	14	4	no	—
799	#125	—	14	4	no	—
800	C₂²⋊Q₈	—	14	4	no	—
801	C₂²⋊Q₈	—	14	4	no	—
802	C₄×Q₈	—	14	4	no	—
803	C₄×Q₈	—	14	4	no	—
804	C₄×Q₈	—	14	4	no	—
805	C₄×Q₈	—	14	4	no	—
806	C₄×Q₈	—	14	4	no	—
807	C₄×Q₈	—	14	4	no	—
808	#117	—	7	8	no	—
809	#117	—	14	4	no	—
810	C₂×C₄⋊C₄	—	7	1	no	—
811	C₂×C₄⋊C₄	—	7	1	no	—
812	C₂×C₄⋊C₄	—	7	1	no	—
813	C₂×C₄⋊C₄	—	7	1	no	—
814	C₂×C₄⋊C₄	—	7	1	no	—
815	C₂×C₄⋊C₄	—	7	1	no	—
816	C₂×C₄⋊C₄	—	7	1	no	—
817	C₂×C₄⋊C₄	—	7	1	no	—
818	C₂×C₄⋊C₄	—	7	1	no	—
819	C₂×C₄⋊C₄	—	7	1	no	—
820	C₂×C₄⋊C₄	—	7	1	no	—
821	C₂×C₄⋊C₄	—	7	1	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	—	7	1	no	—
849	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	—	7	1	no	—
859	C₂×C₂²⋊C₄	—	7	1	no	—
860	C₂×C₂²⋊C₄	—	7	1	no	—
861	C₂×C₂²⋊C₄	—	7	1	no	—
862	C₂×C₂²⋊C₄	—	7	1	no	—
863	C₂×C₂²⋊C₄	—	7	1	no	—
864	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
870	C₂×C₄²	—	7	1	no	—
871	C₂×C₄²	—	7	1	no	—
872	C₂×C₄²	—	7	1	no	—
873	C₂×C₄²	—	7	1	no	—
874	C₂×C₄²	—	7	1	no	—
875	C₂×C₄²	—	7	1	no	—
876	C₂×C₄²	—	7	1	no	—
877	C₂×C₄²	—	7	1	no	—
878	C₂×C₄²	—	7	1	no	—
879	C₂×C₄²	—	7	1	no	—
880	C₂×C₄²	—	7	1	no	—
881	C₂×C₄²	—	7	1	no	—
882	C₂×C₄²	—	7	1	no	—
883	C₂×C₄²	—	7	1	no	—
884	C₂×C₄²	—	7	1	no	—
885	C₂×C₄²	—	7	1	no	—
886	C₂×C₄²	—	7	1	no	—
887	C₂×C₄²	—	7	1	no	—
888	C₂×C₄²	—	7	1	no	—
889	C₂×C₄²	—	7	1	no	—
890	C₂×C₄²	—	7	1	no	—
891	C₂×C₄²	—	7	1	no	—
892	C₂×C₄²	—	7	1	no	—
893	C₂×C₄²	—	7	1	no	—
894	C₂×C₄²	—	7	1	no	—
895	C₂×C₄²	—	7	1	no	—
896	C₂×C₄²	—	7	1	no	—
897	C₂×C₄²	—	7	1	no	—
898	C₂×C₄²	—	14	4	no	—
899	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
900	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
901	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
902	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
903	#95	—	7	1	no	—
904	#95	—	7	1	no	—
905	#95	—	7	1	no	—
906	#95	—	7	1	no	—
907	#95	—	7	1	no	—
908	#95	—	7	1	no	—
909	#95	—	7	1	no	—
910	#95	—	7	1	no	—
911	#95	—	7	1	no	—
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	C₂²×D₇	1	1	yes	characteristic
946	#95	C₂²×D₇	1	1	yes	characteristic
947	#95	C₂²×D₇	1	1	yes	characteristic
948	#95	C₂²×D₇	1	1	yes	characteristic
949	#95	C₂²×D₇	1	1	yes	characteristic
950	#95	C₂²×D₇	1	1	yes	characteristic
951	#95	C₂²×D₇	1	1	yes	characteristic
952	#95	C₂²×D₇	1	1	yes	characteristic
953	#95	C₂²×D₇	1	1	yes	characteristic
954	#95	C₂²×D₇	1	1	yes	characteristic
955	#95	C₂²×D₇	1	1	yes	characteristic
956	#95	C₂²×D₇	1	1	yes	characteristic
957	#95	C₂²×D₇	1	1	yes	characteristic
958	#95	C₂²×D₇	1	1	yes	characteristic
959	C₂²×C₇	—	2	2	no	—
960	C₂²×C₇	—	2	2	no	—
961	C₂²×C₇	—	2	2	no	—
962	C₂²×C₇	—	4	1	no	—
963	C₂²×C₇	—	4	1	no	—
964	C₂²×C₇	—	4	1	no	—
965	C₂²×C₇	—	4	1	no	—
966	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
967	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
968	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
969	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
970	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
971	C₂²×C₇	#585	1	1	yes	characteristic
972	C₂²×C₇	#585	1	1	yes	characteristic
973	C₄×C₇	—	2	2	no	—
974	C₄×C₇	—	2	2	no	—
975	C₄×C₇	—	2	2	no	—
976	C₄×C₇	—	2	2	no	—
977	C₄×C₇	—	2	2	no	—
978	C₄×C₇	—	2	2	no	—
979	C₄×C₇	—	4	1	no	—
980	C₄×C₇	—	4	1	no	—
981	C₄×C₇	—	4	1	no	—
982	C₄×C₇	—	4	1	no	—
983	C₄×C₇	—	4	1	no	—
984	C₄×C₇	—	4	1	no	—
985	C₄×C₇	—	4	1	no	—
986	C₄×C₇	—	4	1	no	—
987	Dic₇	—	2	2	no	—
988	Dic₇	—	2	2	no	—
989	Dic₇	—	2	2	no	—
990	Dic₇	—	2	2	no	—
991	Dic₇	—	2	2	no	—
992	Dic₇	—	2	2	no	—
993	Dic₇	—	2	2	no	—
994	Dic₇	—	2	2	no	—
995	Dic₇	—	2	2	no	—
996	Dic₇	—	4	1	no	—
997	Dic₇	—	4	1	no	—
998	Dic₇	—	4	1	no	—
999	Dic₇	—	4	1	no	—
1000	Dic₇	—	4	1	no	—
1001	Dic₇	—	4	1	no	—
1002	Dic₇	#533	1	4	yes	—
1003	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1004	C₂×Q₈	—	2	2	no	—
1005	C₂×Q₈	—	4	1	no	—
1006	C₂×Q₈	—	4	1	no	—
1007	C₂×Q₈	—	14	2	no	—
1008	C₂×Q₈	—	14	2	no	—
1009	C₂×Q₈	—	14	2	no	—
1010	C₂×Q₈	—	14	2	no	—
1011	C₂×Q₈	—	14	2	no	—
1012	C₂×Q₈	—	14	2	no	—
1013	C₂×Q₈	—	14	2	no	—
1014	C₂×Q₈	—	28	1	no	—
1015	C₂×Q₈	—	28	1	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	7	1	no	—
1020	C₂²×C₄	—	7	4	no	—
1021	C₂²×C₄	—	7	1	no	—
1022	C₂²×C₄	—	7	1	no	—
1023	C₂²×C₄	—	7	1	no	—
1024	C₂²×C₄	—	7	1	no	—
1025	C₂²×C₄	—	7	1	no	—
1026	C₂²×C₄	—	7	1	no	—
1027	C₂²×C₄	—	7	1	no	—
1028	C₂²×C₄	—	7	1	no	—
1029	C₂²×C₄	—	7	1	no	—
1030	C₂²×C₄	—	7	1	no	—
1031	C₂²×C₄	—	7	1	no	—
1032	C₂²×C₄	—	7	1	no	—
1033	C₂²×C₄	—	7	1	no	—
1034	C₂²×C₄	—	7	1	no	—
1035	C₂²×C₄	—	7	1	no	—
1036	C₂²×C₄	—	14	2	no	—
1037	C₂²×C₄	—	14	2	no	—
1038	C₂²×C₄	—	14	2	no	—
1039	C₂²×C₄	—	14	2	no	—
1040	C₂²×C₄	—	28	1	no	—
1041	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	7	4	no	—
1065	C₄⋊C₄	—	7	4	no	—
1066	C₄⋊C₄	—	7	4	no	—
1067	C₄⋊C₄	—	7	4	no	—
1068	C₄⋊C₄	—	14	2	no	—
1069	C₄⋊C₄	—	14	2	no	—
1070	C₄⋊C₄	—	14	2	no	—
1071	C₄⋊C₄	—	14	2	no	—
1072	C₄⋊C₄	—	14	2	no	—
1073	C₄⋊C₄	—	14	2	no	—
1074	C₄⋊C₄	—	14	2	no	—
1075	C₄⋊C₄	—	14	2	no	—
1076	C₄⋊C₄	—	14	2	no	—
1077	C₄⋊C₄	—	14	2	no	—
1078	C₄⋊C₄	—	14	2	no	—
1079	C₄⋊C₄	—	14	2	no	—
1080	C₄⋊C₄	—	14	2	no	—
1081	C₄⋊C₄	—	14	2	no	—
1082	C₄⋊C₄	—	14	2	no	—
1083	C₄⋊C₄	—	14	2	no	—
1084	C₄⋊C₄	—	14	2	no	—
1085	C₄⋊C₄	—	14	2	no	—
1086	C₄⋊C₄	—	14	2	no	—
1087	C₄⋊C₄	—	14	2	no	—
1088	C₄⋊C₄	—	14	2	no	—
1089	C₄⋊C₄	—	14	2	no	—
1090	C₄⋊C₄	—	14	2	no	—
1091	C₄⋊C₄	—	14	2	no	—
1092	C₄⋊C₄	—	14	2	no	—
1093	C₄⋊C₄	—	14	2	no	—
1094	C₄⋊C₄	—	14	2	no	—
1095	C₄⋊C₄	—	28	1	no	—
1096	C₄⋊C₄	—	28	1	no	—
1097	C₄⋊C₄	—	28	1	no	—
1098	C₄⋊C₄	—	28	1	no	—
1099	C₄⋊C₄	—	28	1	no	—
1100	C₄⋊C₄	—	28	1	no	—
1101	C₄⋊C₄	—	28	1	no	—
1102	C₄⋊C₄	—	28	1	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₂²⋊C₄	—	4	1	no	—
1108	C₂²⋊C₄	—	7	4	no	—
1109	C₂²⋊C₄	—	14	2	no	—
1110	C₂²⋊C₄	—	14	2	no	—
1111	C₂²⋊C₄	—	14	2	no	—
1112	C₂²⋊C₄	—	14	2	no	—
1113	C₂²⋊C₄	—	28	1	no	—
1114	C₂²⋊C₄	Q₈×D₇	1	4	yes	—
1115	C₄²	—	2	2	no	—
1116	C₄²	—	2	2	no	—
1117	C₄²	—	4	1	no	—
1118	C₄²	—	4	1	no	—
1119	C₄²	—	7	4	no	—
1120	C₄²	—	7	4	no	—
1121	C₄²	—	7	4	no	—
1122	C₄²	—	7	4	no	—
1123	C₄²	—	14	2	no	—
1124	C₄²	—	14	2	no	—
1125	C₄²	—	14	2	no	—
1126	C₄²	—	14	2	no	—
1127	C₄²	—	14	2	no	—
1128	C₄²	—	14	2	no	—
1129	C₄²	—	14	2	no	—
1130	C₄²	—	14	2	no	—
1131	C₄²	—	14	2	no	—
1132	C₄²	—	14	2	no	—
1133	C₄²	—	14	2	no	—
1134	C₄²	—	14	2	no	—
1135	C₄²	—	14	2	no	—
1136	C₄²	—	14	2	no	—
1137	C₄²	—	14	2	no	—
1138	C₄²	—	14	2	no	—
1139	C₄²	—	14	2	no	—
1140	C₄²	—	14	2	no	—
1141	C₄²	—	28	1	no	—
1142	C₄²	—	28	1	no	—
1143	C₄²	—	28	1	no	—
1144	C₄²	—	28	1	no	—
1145	C₄²	—	28	1	no	—
1146	C₄²	—	28	1	no	—
1147	C₂×C₇	—	4	2	no	—
1148	C₂×C₇	C₂×#533	1	1	yes	characteristic
1149	C₂×C₇	#3444	1	1	yes	characteristic
1150	C₂×C₇	#3455	1	1	yes	characteristic
1151	C₂×C₇	#3475	1	1	yes	characteristic
1152	C₂×C₇	#3475	1	1	yes	characteristic
1153	C₂×C₇	Q₈×#41	1	1	yes	characteristic
1154	C₂×C₇	Q₈×#41	1	1	yes	characteristic
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	C₂×Q₈×D₇	1	2	yes	—
1162	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1163	Q₈	—	4	4	no	—
1164	Q₈	—	14	8	no	—
1165	Q₈	—	28	4	no	—
1166	Q₈	—	28	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	4	4	no	—
1204	C₂×C₄	—	7	2	no	—
1205	C₂×C₄	—	7	2	no	—
1206	C₂×C₄	—	7	2	no	—
1207	C₂×C₄	—	7	2	no	—
1208	C₂×C₄	—	7	2	no	—
1209	C₂×C₄	—	7	2	no	—
1210	C₂×C₄	—	7	2	no	—
1211	C₂×C₄	—	7	2	no	—
1212	C₂×C₄	—	7	2	no	—
1213	C₂×C₄	—	7	2	no	—
1214	C₂×C₄	—	7	2	no	—
1215	C₂×C₄	—	7	2	no	—
1216	C₂×C₄	—	14	8	no	—
1217	C₂×C₄	—	14	1	no	—
1218	C₂×C₄	—	14	1	no	—
1219	C₂×C₄	—	14	1	no	—
1220	C₂×C₄	—	14	1	no	—
1221	C₂×C₄	—	14	1	no	—
1222	C₂×C₄	—	14	1	no	—
1223	C₂×C₄	—	14	1	no	—
1224	C₂×C₄	—	14	1	no	—
1225	C₂×C₄	—	14	1	no	—
1226	C₂×C₄	—	14	1	no	—
1227	C₂×C₄	—	14	1	no	—
1228	C₂×C₄	—	14	1	no	—
1229	C₂×C₄	—	14	1	no	—
1230	C₂×C₄	—	14	1	no	—
1231	C₂×C₄	—	14	1	no	—
1232	C₂×C₄	—	14	1	no	—
1233	C₂×C₄	—	14	1	no	—
1234	C₂×C₄	—	14	1	no	—
1235	C₂×C₄	—	14	1	no	—
1236	C₂×C₄	—	14	1	no	—
1237	C₂×C₄	—	14	1	no	—
1238	C₂×C₄	—	14	1	no	—
1239	C₂×C₄	—	14	1	no	—
1240	C₂×C₄	—	14	1	no	—
1241	C₂×C₄	—	14	1	no	—
1242	C₂×C₄	—	14	1	no	—
1243	C₂×C₄	—	14	1	no	—
1244	C₂×C₄	—	14	1	no	—
1245	C₂×C₄	—	14	1	no	—
1246	C₂×C₄	—	14	1	no	—
1247	C₂×C₄	—	14	1	no	—
1248	C₂×C₄	—	14	1	no	—
1249	C₂×C₄	—	14	1	no	—
1250	C₂×C₄	—	14	1	no	—
1251	C₂×C₄	—	14	1	no	—
1252	C₂×C₄	—	14	1	no	—
1253	C₂×C₄	—	28	4	no	—
1254	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1255	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1256	C₂×C₄	D₇×#41	1	2	yes	—
1257	C₂×C₄	D₇×#41	1	2	yes	—
1258	C₂×C₄	D₇×#41	1	2	yes	—
1259	C₂×C₄	D₇×#41	1	2	yes	—
1260	C₇	#34882	1	1	yes	characteristic, complemented, Sylow
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	C₂²×Q₈×D₇	1	1	yes	characteristic
1269	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1270	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1271	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1272	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1273	C₂²	#90618	1	1	yes	characteristic
1274	C₂²	#90618	1	1	yes	characteristic
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	2	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	7	4	no	—
1290	C₄	—	14	2	no	—
1291	C₄	—	14	2	no	—
1292	C₄	—	14	2	no	—
1293	C₄	—	14	2	no	—
1294	C₄	—	14	2	no	—
1295	C₄	—	14	2	no	—
1296	C₄	—	14	2	no	—
1297	C₄	—	14	2	no	—
1298	C₄	—	14	2	no	—
1299	C₄	—	28	1	no	—
1300	C₄	—	28	1	no	—
1301	C₄	—	28	1	no	—
1302	C₄	—	28	1	no	—
1303	C₄	—	28	1	no	—
1304	C₄	—	28	1	no	—
1305	C₂	—	4	2	no	—
1306	C₂	#11743187	1	1	yes	characteristic
1307	C₂	D₇×#533	1	1	yes	characteristic
1308	C₂	#11743455	1	1	yes	characteristic
1309	C₂	#11743858	1	1	yes	characteristic
1310	C₂	#11743991	1	1	yes	characteristic
1311	C₂	#11743991	1	1	yes	characteristic
1312	C₂	#11744026	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2574	C₂
prime radical	C₂⁴×C₇	C₂⁴
hypercenter	#2574	D₇
hypocenter	C₇	#34882
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2574

Complements

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

N	H ≅ G/N	type
2. #11735245	C₂	semidirect
3. #11735185	C₂	semidirect
6. #11734638	C₂	semidirect
7. #11734616	C₂	semidirect
10. #11733994	C₂	semidirect
11. #11733922	C₂	semidirect
16. #11732486	C₂	semidirect
17. #11732441	C₂	semidirect
18. #11732438	C₂	semidirect
19. #11732388	C₂	semidirect
20. #11732383	C₂	semidirect
21. #11732383	C₂	semidirect
24. #11731621	C₂	semidirect
25. #11731595	C₂	semidirect
28. #11731173	C₂	semidirect
29. C₄×#6450	C₂	semidirect
297. #6440	Q₈	semidirect
1260. C₇	#34882	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2574	2
#11735245	2
#11735185	2
#11734762	2
#11734727	2
#11734638	2
#11734616	2
#11734246	2
#11734223	2
#11733994	2
#11733922	2
#11733013	2
#11732959	2
#11732896	2
#11732486	2
#11732441	2
#11732438	2
#11732388	2
#11732383	2
#11731878	2
#11731826	2
#11731621	2
#11731595	2
#11731375	2
#11731311	2
#11731173	2
C₄×#6450	2
#11730981	2
C₄×#6440	2
#34882	7