Subgroups — #13561552

Order 1792.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2790	C₂	1	1	yes	maximal, characteristic, complemented
2	#11735723	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735679	C₂	1	1	yes	maximal, characteristic, complemented
4	#11735449	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735364	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735297	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735290	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735262	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735258	C₂	1	1	yes	maximal, characteristic, complemented
10	#11734890	C₂	1	1	yes	maximal, characteristic
11	#11734878	C₂	1	1	yes	maximal, characteristic
12	#11734774	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734733	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733589	C₂	1	1	yes	maximal, characteristic, complemented
15	#11733506	C₂	1	1	yes	maximal, characteristic, complemented
16	#11733151	C₂	1	1	yes	maximal, characteristic, complemented
17	#11733151	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732903	C₂	1	1	yes	maximal, characteristic
19	#11732894	C₂	1	1	yes	maximal, characteristic
20	#11732893	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732835	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732624	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732573	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732014	C₂	1	1	yes	maximal, characteristic
25	#11731968	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731961	C₂	1	1	yes	maximal, characteristic
27	#11731917	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731860	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731828	C₂	1	1	yes	maximal, characteristic
30	#11731821	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731795	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#6487	C₂²	1	1	yes	characteristic
33	C₂×#6460	C₂²	1	1	yes	characteristic
34	C₂×#6460	C₂²	1	1	yes	characteristic
35	C₂×#6459	C₂²	1	1	yes	characteristic
36	C₂×#6453	C₂²	1	1	yes	characteristic
37	C₂×#6451	C₂²	1	1	yes	characteristic
38	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×#6441	C₂²	1	1	yes	characteristic
40	C₂×#6441	C₂²	1	1	yes	characteristic
41	C₂×#6440	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
43	C₂×#6432	C₂²	1	1	yes	characteristic
44	C₂×#6432	C₂²	1	1	yes	characteristic
45	C₇×#400	C₂²	1	1	yes	characteristic
46	C₇×#398	C₂²	1	1	yes	characteristic
47	C₇×#398	C₂²	1	1	yes	characteristic
48	C₇×#398	C₂²	1	1	yes	characteristic
49	C₇×#396	C₂²	1	1	yes	characteristic
50	C₇×#396	C₂²	1	1	yes	characteristic
51	C₇×#389	C₂²	1	1	yes	characteristic
52	C₇×#388	C₂²	1	1	yes	characteristic
53	C₇×#388	C₂²	1	1	yes	characteristic
54	C₇×#387	C₂²	1	1	yes	characteristic
55	C₇×#387	C₂²	1	1	yes	characteristic
56	C₇×#385	C₂²	1	1	yes	characteristic
57	C₇×#385	C₂²	1	1	yes	characteristic
58	C₇×#385	C₂²	1	1	yes	characteristic
59	C₇×#384	C₂²	1	1	yes	characteristic
60	#89985	C₂²	1	1	yes	characteristic
61	#89984	C₂²	1	1	yes	characteristic
62	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
63	#89766	C₂²	1	1	yes	characteristic
64	#89766	C₂²	1	1	yes	characteristic
65	#89766	C₂²	1	1	yes	characteristic
66	#89764	C₂²	1	1	yes	characteristic
67	#89762	C₂²	1	1	yes	characteristic
68	#89761	C₂²	1	1	yes	characteristic
69	#89761	C₂²	1	1	yes	characteristic
70	#89759	C₂²	1	1	yes	characteristic
71	#89759	C₂²	1	1	yes	characteristic
72	#89759	C₂²	1	1	yes	characteristic
73	#89759	C₂²	1	1	yes	characteristic
74	#89757	C₂²	1	1	yes	characteristic
75	#89757	C₂²	1	1	yes	characteristic
76	#89757	C₂²	1	1	yes	characteristic
77	#89757	C₂²	1	1	yes	characteristic
78	#89757	C₂²	1	1	yes	characteristic
79	#89757	C₂²	1	1	yes	characteristic
80	#89757	C₂²	1	1	yes	characteristic
81	#89756	C₂²	1	1	yes	characteristic
82	#89756	C₂²	1	1	yes	characteristic
83	#89756	C₂²	1	1	yes	characteristic
84	#89756	C₂²	1	1	yes	characteristic
85	#89756	C₂²	1	1	yes	characteristic
86	#89756	C₂²	1	1	yes	characteristic
87	#89755	C₂²	1	1	yes	characteristic
88	#89755	C₂²	1	1	yes	characteristic
89	#89753	C₂²	1	1	yes	characteristic
90	#89753	C₂²	1	1	yes	characteristic
91	#89753	C₂²	1	1	yes	characteristic
92	#89753	C₂²	1	1	yes	characteristic
93	#89751	C₂²	1	1	yes	characteristic
94	#89751	C₂²	1	1	yes	characteristic
95	#89751	C₂²	1	1	yes	characteristic
96	#89751	C₂²	1	1	yes	characteristic
97	#89750	C₂²	1	1	yes	characteristic
98	#89750	C₂²	1	1	yes	characteristic
99	#89750	C₂²	1	1	yes	characteristic
100	#89750	C₂²	1	1	yes	characteristic
101	#89749	C₂²	1	1	yes	characteristic
102	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
103	#89746	C₂²	1	1	yes	characteristic
104	#89746	C₂²	1	1	yes	characteristic
105	#89745	C₂²	1	1	yes	characteristic
106	#89745	C₂²	1	1	yes	characteristic
107	#89745	C₂²	1	1	yes	characteristic
108	#89744	C₂²	1	1	yes	characteristic
109	#89744	C₂²	1	1	yes	characteristic
110	#89744	C₂²	1	1	yes	characteristic
111	#89744	C₂²	1	1	yes	characteristic
112	#89744	C₂²	1	1	yes	characteristic
113	#89744	C₂²	1	1	yes	characteristic
114	#89730	C₂²	1	1	yes	characteristic
115	#89729	C₂²	1	1	yes	characteristic
116	#89729	C₂²	1	1	yes	characteristic
117	#89728	C₂²	1	1	yes	characteristic
118	#89728	C₂²	1	1	yes	characteristic
119	#89723	C₂²	1	1	yes	characteristic
120	#89723	C₂²	1	1	yes	characteristic
121	#89722	C₂²	1	1	yes	characteristic
122	#89722	C₂²	1	1	yes	characteristic
123	#89722	C₂²	1	1	yes	characteristic
124	#89720	C₂²	1	1	yes	characteristic
125	#89720	C₂²	1	1	yes	characteristic
126	#89720	C₂²	1	1	yes	characteristic
127	#89720	C₂²	1	1	yes	characteristic
128	#89719	C₂²	1	1	yes	characteristic
129	#89719	C₂²	1	1	yes	characteristic
130	#89715	C₂²	1	1	yes	characteristic
131	#89714	C₂²	1	1	yes	characteristic
132	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
133	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
134	#89712	C₂²	1	1	yes	characteristic
135	#89705	C₂²	1	1	yes	characteristic
136	#89705	C₂²	1	1	yes	characteristic
137	#89705	C₂²	1	1	yes	characteristic
138	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
139	#89449	C₂²	1	1	yes	characteristic
140	#89448	C₂²	1	1	yes	characteristic
141	#89445	C₂²	1	1	yes	characteristic
142	#89445	C₂²	1	1	yes	characteristic
143	#89442	C₂²	1	1	yes	characteristic
144	#89441	C₂²	1	1	yes	characteristic
145	#89440	C₂²	1	1	yes	characteristic
146	#89440	C₂²	1	1	yes	characteristic
147	#89439	C₂²	1	1	yes	characteristic
148	#89438	C₂²	1	1	yes	characteristic
149	#89436	C₂²	1	1	yes	characteristic
150	#89436	C₂²	1	1	yes	characteristic
151	#89433	C₂²	1	1	yes	characteristic
152	#89433	C₂²	1	1	yes	characteristic
153	#89433	C₂²	1	1	yes	characteristic
154	#89433	C₂²	1	1	yes	characteristic
155	#89432	C₂²	1	1	yes	characteristic
156	#89432	C₂²	1	1	yes	characteristic
157	#89431	C₂²	1	1	yes	characteristic
158	#89430	C₂²	1	1	yes	characteristic
159	#89430	C₂²	1	1	yes	characteristic
160	#89429	C₂²	1	1	yes	characteristic
161	#89428	C₂²	1	1	yes	characteristic
162	#89428	C₂²	1	1	yes	characteristic
163	#89428	C₂²	1	1	yes	characteristic
164	#89428	C₂²	1	1	yes	characteristic
165	#89428	C₂²	1	1	yes	characteristic
166	#89428	C₂²	1	1	yes	characteristic
167	#89427	C₂²	1	1	yes	characteristic
168	#89425	C₂²	1	1	yes	characteristic
169	#89425	C₂²	1	1	yes	characteristic
170	#89425	C₂²	1	1	yes	characteristic
171	#89425	C₂²	1	1	yes	characteristic
172	#89424	C₂²	1	1	yes	characteristic
173	#89424	C₂²	1	1	yes	characteristic
174	#89423	C₂²	1	1	yes	characteristic
175	#89422	C₂²	1	1	yes	characteristic
176	#89420	C₂²	1	1	yes	characteristic
177	#89420	C₂²	1	1	yes	characteristic
178	#89419	C₂²	1	1	yes	characteristic
179	#89419	C₂²	1	1	yes	characteristic
180	#89418	C₂²	1	1	yes	characteristic
181	#89418	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	#36754	—	7	1	no	maximal, Sylow
188	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
197	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₄	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
255	#6487	—	4	2	no	—
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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇⋊C₄	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	#6460	—	4	2	no	—
289	#6460	—	4	2	no	—
290	#6459	—	4	2	no	—
291	#6453	—	4	2	no	—
292	#6451	—	4	2	no	—
293	(C₂²⋊D₇)⋊C₄	Q₈	1	8	yes	complemented
294	#6441	—	4	2	no	—
295	#6441	—	4	2	no	—
296	#6440	—	4	2	no	—
297	C₄²×D₇	—	4	2	no	—
298	#6432	—	4	2	no	—
299	#6432	—	4	2	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	#2857	—	7	1	no	—
357	#2855	—	7	1	no	—
358	#2802	—	7	1	no	—
359	#2792	—	7	1	no	—
360	#2790	D₇	1	1	yes	characteristic, complemented
361	#2788	—	7	1	no	—
362	#2784	—	7	1	no	—
363	#2780	—	7	1	no	—
364	#2774	—	7	1	no	—
365	#2768	—	7	1	no	—
366	#2734	—	7	1	no	—
367	#2729	—	7	1	no	—
368	#2729	—	7	1	no	—
369	#2704	—	7	1	no	—
370	#2704	—	7	1	no	—
371	#2692	—	7	1	no	—
372	#2683	—	7	1	no	—
373	#2677	—	7	1	no	—
374	#2667	—	7	1	no	—
375	#2665	—	7	1	no	—
376	#2612	—	7	1	no	—
377	#2608	—	7	1	no	—
378	#2606	—	7	1	no	—
379	#2605	—	7	1	no	—
380	#2550	—	7	1	no	—
381	#2549	—	7	1	no	—
382	#2439	—	7	1	no	—
383	#2438	—	7	1	no	—
384	#2319	—	7	1	no	—
385	#2318	—	7	1	no	—
386	#2290	—	7	1	no	—
387	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
388	C₂³×D₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	—	4	1	no	—
390	C₂²×C₄×C₇	—	4	1	no	—
391	C₂²×C₄×C₇	—	4	1	no	—
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₇	—	4	1	no	—
407	C₂×C₂²⋊D₇	—	4	1	no	—
408	C₂×C₂²⋊D₇	C₂×Q₈	1	4	yes	—
409	C₂²×Dic₇	—	4	1	no	—
410	C₂²×Dic₇	—	4	1	no	—
411	C₂²×Dic₇	—	4	1	no	—
412	C₂²×Dic₇	—	4	1	no	—
413	C₂²×Dic₇	—	4	1	no	—
414	C₂²×Dic₇	C₂×Q₈	1	4	yes	—
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×C₄×D₇	—	2	2	no	—
431	C₂×C₄×D₇	—	2	2	no	—
432	C₂×C₄×D₇	—	2	2	no	—
433	C₂×C₄×D₇	—	4	1	no	—
434	C₂×C₄×D₇	—	4	1	no	—
435	C₂×C₄×D₇	—	4	1	no	—
436	C₂×C₄×D₇	—	4	1	no	—
437	C₂×C₄×D₇	—	4	1	no	—
438	C₂×C₄×D₇	C₂×Q₈	1	4	yes	—
439	C₂×Dic₁₄	—	2	2	no	—
440	C₂×Dic₁₄	—	2	2	no	—
441	C₂×Dic₁₄	—	2	2	no	—
442	C₂×Dic₁₄	—	4	1	no	—
443	C₂×Dic₁₄	—	4	1	no	—
444	C₂×Dic₁₄	—	4	1	no	—
445	C₂×Dic₁₄	—	4	1	no	—
446	C₂×Dic₁₄	—	4	1	no	—
447	C₂×Dic₁₄	—	4	1	no	—
448	C₂×Dic₁₄	—	4	1	no	—
449	C₂×Dic₁₄	—	4	1	no	—
450	C₂×Dic₁₄	—	4	1	no	—
451	C₂×Dic₁₄	—	4	1	no	—
452	C₂×Dic₁₄	—	4	1	no	—
453	C₂×Dic₁₄	—	4	1	no	—
454	C₇×C₄⋊C₄	—	2	2	no	—
455	C₇×C₄⋊C₄	—	2	2	no	—
456	C₇×C₄⋊C₄	—	2	2	no	—
457	C₇×C₄⋊C₄	—	4	1	no	—
458	C₇×C₄⋊C₄	—	4	1	no	—
459	C₇×C₄⋊C₄	—	4	1	no	—
460	C₇×C₄⋊C₄	—	4	1	no	—
461	C₇×C₄⋊C₄	—	4	1	no	—
462	C₇×C₄⋊C₄	—	4	1	no	—
463	C₇×C₄⋊C₄	—	4	1	no	—
464	C₇×C₄⋊C₄	—	4	1	no	—
465	C₇×C₄⋊C₄	—	4	1	no	—
466	C₇×C₄⋊C₄	—	4	1	no	—
467	C₇×C₄⋊C₄	—	4	1	no	—
468	C₇×C₂²⋊C₄	—	2	2	no	—
469	C₇×C₂²⋊C₄	—	2	2	no	—
470	C₇×C₂²⋊C₄	—	4	1	no	—
471	C₇×C₂²⋊C₄	—	4	1	no	—
472	C₇×C₂²⋊C₄	—	4	1	no	—
473	C₇×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
474	C₄²×C₇	—	2	2	no	—
475	C₄²×C₇	—	4	1	no	—
476	C₂²⋊Dic₇	—	2	2	no	—
477	C₂²⋊Dic₇	—	4	1	no	—
478	C₂²⋊Dic₇	—	4	1	no	—
479	C₂²⋊Dic₇	—	4	1	no	—
480	C₂²⋊Dic₇	—	4	1	no	—
481	(C₂×D₇)⋊C₄	—	4	1	no	—
482	(C₂×D₇)⋊C₄	—	4	1	no	—
483	(C₂×D₇)⋊C₄	—	4	1	no	—
484	(C₂×D₇)⋊C₄	—	4	1	no	—
485	(C₂×D₇)⋊C₄	—	4	1	no	—
486	(C₂×D₇)⋊C₄	—	4	1	no	—
487	(C₂×D₇)⋊C₄	—	4	1	no	—
488	(C₂×D₇)⋊C₄	—	4	1	no	—
489	(C₂×D₇)⋊C₄	—	4	1	no	—
490	(C₂×D₇)⋊C₄	—	4	1	no	—
491	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
492	C₄⋊Dic₇	—	2	2	no	—
493	C₄⋊Dic₇	—	2	2	no	—
494	C₄⋊Dic₇	—	2	2	no	—
495	C₄⋊Dic₇	—	2	2	no	—
496	C₄⋊Dic₇	—	2	2	no	—
497	C₄⋊Dic₇	—	4	1	no	—
498	C₄⋊Dic₇	—	4	1	no	—
499	C₄⋊Dic₇	—	4	1	no	—
500	C₄⋊Dic₇	—	4	1	no	—
501	C₄⋊Dic₇	—	4	1	no	—
502	C₄⋊Dic₇	—	4	1	no	—
503	C₄⋊Dic₇	—	4	1	no	—
504	C₄⋊Dic₇	—	4	1	no	—
505	C₄⋊Dic₇	—	4	1	no	—
506	C₄⋊Dic₇	—	4	1	no	—
507	C₄⋊Dic₇	—	4	1	no	—
508	C₄⋊Dic₇	—	4	1	no	—
509	Dic₇⋊C₄	—	2	2	no	—
510	Dic₇⋊C₄	—	2	2	no	—
511	Dic₇⋊C₄	—	2	2	no	—
512	Dic₇⋊C₄	—	2	2	no	—
513	Dic₇⋊C₄	—	4	1	no	—
514	Dic₇⋊C₄	—	4	1	no	—
515	Dic₇⋊C₄	—	4	1	no	—
516	Dic₇⋊C₄	—	4	1	no	—
517	Dic₇⋊C₄	—	4	1	no	—
518	Dic₇⋊C₄	—	4	1	no	—
519	Dic₇⋊C₄	—	4	1	no	—
520	Dic₇⋊C₄	—	4	1	no	—
521	Dic₇⋊C₄	—	4	1	no	—
522	Dic₇⋊C₄	—	4	1	no	—
523	Dic₇⋊C₄	—	4	1	no	—
524	Dic₇⋊C₄	—	4	1	no	—
525	Dic₇⋊C₄	—	4	1	no	—
526	Dic₇⋊C₄	—	4	1	no	—
527	Dic₇⋊C₄	—	4	1	no	—
528	Dic₇⋊C₄	—	4	1	no	—
529	Dic₇⋊C₄	C₂×Q₈	1	4	yes	—
530	C₄×Dic₇	—	2	2	no	—
531	C₄×Dic₇	—	4	1	no	—
532	C₄×Dic₇	—	4	1	no	—
533	C₄×Dic₇	—	4	1	no	—
534	C₄×Dic₇	—	4	1	no	—
535	C₄×Dic₇	—	4	1	no	—
536	C₄×Dic₇	—	4	1	no	—
537	C₄×Dic₇	—	4	1	no	—
538	C₄×Dic₇	—	4	1	no	—
539	C₄×Dic₇	—	4	1	no	—
540	C₄×Dic₇	C₂×Q₈	1	4	yes	—
541	C₂×C₄⋊Q₈	—	7	1	no	—
542	C₂×C₄⋊Q₈	—	7	1	no	—
543	C₂×C₄⋊Q₈	—	7	1	no	—
544	C₂×#125	—	7	1	no	—
545	C₂×C₂²⋊Q₈	—	7	1	no	—
546	C₂×C₂²⋊Q₈	—	7	1	no	—
547	C₂×C₂²⋊Q₈	—	7	1	no	—
548	C₂×C₂²⋊Q₈	—	7	1	no	—
549	C₂×C₂²⋊Q₈	—	7	1	no	—
550	C₂×C₂²⋊Q₈	—	7	1	no	—
551	C₂×C₄×D₄	—	7	1	no	—
552	C₂×#117	—	7	1	no	—
553	C₂²×C₄²	—	7	1	no	—
554	#400	—	7	1	no	—
555	#400	—	7	1	no	—
556	#400	—	7	1	no	—
557	#400	—	7	1	no	—
558	#400	—	7	1	no	—
559	#400	C₂×D₇	1	1	yes	characteristic
560	#399	—	7	1	no	—
561	#399	—	7	1	no	—
562	#398	—	7	1	no	—
563	#398	—	7	1	no	—
564	#398	—	7	1	no	—
565	#398	—	7	1	no	—
566	#398	—	7	1	no	—
567	#398	—	7	1	no	—
568	#398	—	7	1	no	—
569	#398	—	7	1	no	—
570	#398	—	7	1	no	—
571	#398	—	7	1	no	—
572	#398	—	7	1	no	—
573	#398	—	7	1	no	—
574	#398	—	7	1	no	—
575	#398	C₂×D₇	1	1	yes	characteristic
576	#398	C₂×D₇	1	1	yes	characteristic
577	#398	C₂×D₇	1	1	yes	characteristic
578	#396	—	7	1	no	—
579	#396	—	7	1	no	—
580	#396	—	7	1	no	—
581	#396	—	7	1	no	—
582	#396	—	7	1	no	—
583	#396	—	7	1	no	—
584	#396	—	7	1	no	—
585	#396	—	7	1	no	—
586	#396	C₂×D₇	1	1	yes	characteristic
587	#396	C₂×D₇	1	1	yes	characteristic
588	#395	—	7	1	no	—
589	#395	—	7	1	no	—
590	#395	—	7	1	no	—
591	#395	—	7	1	no	—
592	#395	—	7	1	no	—
593	#395	—	7	1	no	—
594	#395	—	7	1	no	—
595	#395	—	7	1	no	—
596	#395	—	7	1	no	—
597	#395	—	7	1	no	—
598	#393	—	7	1	no	—
599	#393	—	7	1	no	—
600	#393	—	7	1	no	—
601	#393	—	7	1	no	—
602	#391	—	7	1	no	—
603	#391	—	7	1	no	—
604	#391	—	7	1	no	—
605	#391	—	7	1	no	—
606	#391	—	7	1	no	—
607	#391	—	7	1	no	—
608	#391	—	7	1	no	—
609	#391	—	7	1	no	—
610	#391	—	7	1	no	—
611	#390	—	7	1	no	—
612	#390	—	7	1	no	—
613	#389	—	7	1	no	—
614	#389	—	7	1	no	—
615	#389	—	7	1	no	—
616	#389	—	7	1	no	—
617	#389	—	7	1	no	—
618	#389	—	7	1	no	—
619	#389	—	7	1	no	—
620	#389	—	7	1	no	—
621	#389	—	7	1	no	—
622	#389	—	7	1	no	—
623	#389	—	7	1	no	—
624	#389	—	7	1	no	—
625	#389	—	7	1	no	—
626	#389	—	7	1	no	—
627	#389	—	7	1	no	—
628	#389	—	7	1	no	—
629	#389	—	7	1	no	—
630	#389	—	7	1	no	—
631	#389	C₂×D₇	1	1	yes	characteristic
632	#388	—	7	1	no	—
633	#388	—	7	1	no	—
634	#388	—	7	1	no	—
635	#388	—	7	1	no	—
636	#388	—	7	1	no	—
637	#388	—	7	1	no	—
638	#388	C₂×D₇	1	1	yes	characteristic
639	#388	C₂×D₇	1	1	yes	characteristic
640	#387	—	7	1	no	—
641	#387	—	7	1	no	—
642	#387	—	7	1	no	—
643	#387	—	7	1	no	—
644	#387	—	7	1	no	—
645	#387	—	7	1	no	—
646	#387	—	7	1	no	—
647	#387	—	7	1	no	—
648	#387	—	7	1	no	—
649	#387	—	7	1	no	—
650	#387	—	7	1	no	—
651	#387	—	7	1	no	—
652	#387	—	7	1	no	—
653	#387	—	7	1	no	—
654	#387	—	7	1	no	—
655	#387	—	7	1	no	—
656	#387	—	7	1	no	—
657	#387	—	7	1	no	—
658	#387	C₂×D₇	1	1	yes	characteristic
659	#387	C₂×D₇	1	1	yes	characteristic
660	#386	—	7	1	no	—
661	#386	—	7	1	no	—
662	#386	—	7	1	no	—
663	#386	—	7	1	no	—
664	#385	—	7	1	no	—
665	#385	—	7	1	no	—
666	#385	—	7	1	no	—
667	#385	—	7	1	no	—
668	#385	—	7	1	no	—
669	#385	—	7	1	no	—
670	#385	—	7	1	no	—
671	#385	C₂×D₇	1	1	yes	characteristic
672	#385	C₂×D₇	1	1	yes	characteristic
673	#385	C₂×D₇	1	1	yes	characteristic
674	#384	C₂×D₇	1	1	yes	characteristic
675	#383	—	7	1	no	—
676	#382	—	7	1	no	—
677	#382	—	7	1	no	—
678	#381	—	7	1	no	—
679	#381	—	7	1	no	—
680	#381	—	7	1	no	—
681	#380	—	7	1	no	—
682	#380	—	7	1	no	—
683	#380	—	7	1	no	—
684	#380	—	7	1	no	—
685	#380	—	7	1	no	—
686	#380	—	7	1	no	—
687	#380	—	7	1	no	—
688	C₄×C₄⋊C₄	—	7	1	no	—
689	C₄×C₄⋊C₄	—	7	1	no	—
690	C₄×C₂²⋊C₄	—	7	1	no	—
691	C₄×C₂²⋊C₄	—	7	1	no	—
692	C₄×C₂²⋊C₄	—	7	1	no	—
693	#376	—	7	1	no	—
694	#376	—	7	1	no	—
695	C₂×#95	—	7	1	no	—
696	C₂³×C₇	—	2	1	no	—
697	C₂³×C₇	—	2	1	no	—
698	C₂³×C₇	—	2	1	no	—
699	C₂³×C₇	—	2	1	no	—
700	C₂³×C₇	—	2	1	no	—
701	C₂³×C₇	—	2	1	no	—
702	C₂³×C₇	C₂²×Q₈	1	2	yes	—
703	C₂³×C₇	C₂⁵	1	1	yes	characteristic
704	C₂²×D₇	—	2	1	no	—
705	C₂²×D₇	—	2	1	no	—
706	C₂²×D₇	—	2	1	no	—
707	C₂²×D₇	—	2	1	no	—
708	C₂²×D₇	—	2	1	no	—
709	C₂²×D₇	—	2	1	no	—
710	C₂²×D₇	C₂²×Q₈	1	2	yes	—
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	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	8	2	no	—
750	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
751	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
752	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
753	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
754	C₂²⋊D₇	—	4	4	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	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	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	—	2	1	no	—
792	C₂×Dic₇	—	2	1	no	—
793	C₂×Dic₇	—	2	1	no	—
794	C₂×Dic₇	—	2	1	no	—
795	C₂×Dic₇	—	2	1	no	—
796	C₂×Dic₇	—	4	4	no	—
797	C₂×Dic₇	—	8	2	no	—
798	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
799	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
800	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
801	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
802	C₄×D₇	—	4	4	no	—
803	C₄×D₇	—	4	4	no	—
804	C₄×D₇	—	4	4	no	—
805	Dic₁₄	—	8	2	no	—
806	Dic₁₄	—	8	2	no	—
807	Dic₁₄	—	8	2	no	—
808	Dic₁₄	—	8	2	no	—
809	Dic₁₄	—	8	2	no	—
810	C₂²×Q₈	—	7	1	no	—
811	C₂²×Q₈	—	7	1	no	—
812	C₂²×Q₈	—	7	1	no	—
813	C₂²×Q₈	—	7	1	no	—
814	C₂²×Q₈	—	7	1	no	—
815	C₂²×D₄	—	7	1	no	—
816	C₂³×C₄	—	7	1	no	—
817	C₂³×C₄	—	7	1	no	—
818	C₂³×C₄	—	7	1	no	—
819	C₂³×C₄	—	7	1	no	—
820	C₂³×C₄	—	7	1	no	—
821	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
822	C₄⋊Q₈	—	28	2	no	—
823	C₄⋊Q₈	—	28	2	no	—
824	C₄⋊Q₈	—	28	2	no	—
825	#125	—	28	2	no	—
826	C₂²⋊Q₈	—	28	2	no	—
827	C₂²⋊Q₈	—	28	2	no	—
828	C₂²⋊Q₈	—	28	2	no	—
829	C₂²⋊Q₈	—	28	2	no	—
830	C₂²⋊Q₈	—	28	2	no	—
831	C₂²⋊Q₈	—	28	2	no	—
832	C₄×D₄	—	7	8	no	—
833	#117	—	28	2	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	—	7	1	no	—
850	C₂×C₄⋊C₄	—	7	1	no	—
851	C₂×C₄⋊C₄	—	7	1	no	—
852	C₂×C₄⋊C₄	—	7	1	no	—
853	C₂×C₄⋊C₄	—	7	1	no	—
854	C₂×C₄⋊C₄	—	7	1	no	—
855	C₂×C₄⋊C₄	—	7	1	no	—
856	C₂×C₄⋊C₄	—	7	1	no	—
857	C₂×C₄⋊C₄	—	7	1	no	—
858	C₂×C₄⋊C₄	—	7	1	no	—
859	C₂×C₄⋊C₄	—	7	1	no	—
860	C₂×C₄⋊C₄	—	7	1	no	—
861	C₂×C₄⋊C₄	—	7	1	no	—
862	C₂×C₄⋊C₄	—	7	1	no	—
863	C₂×C₄⋊C₄	—	7	1	no	—
864	C₂×C₄⋊C₄	—	7	1	no	—
865	C₂×C₄⋊C₄	—	7	1	no	—
866	C₂×C₄⋊C₄	—	7	1	no	—
867	C₂×C₄⋊C₄	—	7	1	no	—
868	C₂×C₄⋊C₄	—	7	1	no	—
869	C₂×C₄⋊C₄	—	7	1	no	—
870	C₂×C₄⋊C₄	—	7	1	no	—
871	C₂×C₄⋊C₄	—	7	1	no	—
872	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	—	7	1	no	—
887	C₂×C₂²⋊C₄	—	7	1	no	—
888	C₂×C₂²⋊C₄	—	7	1	no	—
889	C₂×C₂²⋊C₄	—	7	1	no	—
890	C₂×C₂²⋊C₄	—	7	1	no	—
891	C₂×C₂²⋊C₄	—	7	1	no	—
892	C₂×C₂²⋊C₄	—	7	1	no	—
893	C₂×C₂²⋊C₄	—	7	1	no	—
894	C₂×C₂²⋊C₄	—	7	1	no	—
895	C₂×C₂²⋊C₄	—	7	1	no	—
896	C₂×C₂²⋊C₄	—	7	1	no	—
897	C₂×C₂²⋊C₄	—	7	1	no	—
898	C₂×C₂²⋊C₄	—	7	1	no	—
899	C₂×C₂²⋊C₄	—	7	1	no	—
900	C₂×C₂²⋊C₄	—	7	1	no	—
901	C₂×C₂²⋊C₄	—	7	1	no	—
902	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
908	C₂×C₄²	—	7	1	no	—
909	C₂×C₄²	—	7	1	no	—
910	C₂×C₄²	—	7	1	no	—
911	C₂×C₄²	—	7	1	no	—
912	C₂×C₄²	—	7	1	no	—
913	C₂×C₄²	—	7	1	no	—
914	C₂×C₄²	—	7	1	no	—
915	C₂×C₄²	—	7	1	no	—
916	C₂×C₄²	—	7	1	no	—
917	C₂×C₄²	—	7	1	no	—
918	C₂×C₄²	—	7	1	no	—
919	C₂×C₄²	—	28	2	no	—
920	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
921	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	—	7	1	no	—
959	#95	—	7	1	no	—
960	#95	—	7	1	no	—
961	#95	—	7	1	no	—
962	#95	—	7	1	no	—
963	#95	—	7	1	no	—
964	#95	—	7	1	no	—
965	#95	—	7	1	no	—
966	#95	C₂²×D₇	1	1	yes	characteristic
967	#95	C₂²×D₇	1	1	yes	characteristic
968	#95	C₂²×D₇	1	1	yes	characteristic
969	#95	C₂²×D₇	1	1	yes	characteristic
970	#95	C₂²×D₇	1	1	yes	characteristic
971	#95	C₂²×D₇	1	1	yes	characteristic
972	#95	C₂²×D₇	1	1	yes	characteristic
973	#95	C₂²×D₇	1	1	yes	characteristic
974	#95	C₂²×D₇	1	1	yes	characteristic
975	#95	C₂²×D₇	1	1	yes	characteristic
976	#95	C₂²×D₇	1	1	yes	characteristic
977	#95	C₂²×D₇	1	1	yes	characteristic
978	C₂²×C₇	—	2	2	no	—
979	C₂²×C₇	—	2	2	no	—
980	C₂²×C₇	—	2	2	no	—
981	C₂²×C₇	—	4	1	no	—
982	C₂²×C₇	—	4	1	no	—
983	C₂²×C₇	—	4	1	no	—
984	C₂²×C₇	—	4	1	no	—
985	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
986	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
987	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
988	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
989	C₂²×C₇	#585	1	1	yes	characteristic
990	C₂²×C₇	#585	1	1	yes	characteristic
991	C₂²×C₇	#585	1	1	yes	characteristic
992	C₂×D₇	—	2	2	no	—
993	C₂×D₇	—	2	2	no	—
994	C₂×D₇	—	2	2	no	—
995	C₂×D₇	—	4	1	no	—
996	C₂×D₇	—	4	1	no	—
997	C₂×D₇	—	4	1	no	—
998	C₂×D₇	—	4	1	no	—
999	C₄×C₇	—	2	2	no	—
1000	C₄×C₇	—	2	2	no	—
1001	C₄×C₇	—	2	2	no	—
1002	C₄×C₇	—	2	2	no	—
1003	C₄×C₇	—	4	1	no	—
1004	C₄×C₇	—	4	1	no	—
1005	C₄×C₇	—	4	1	no	—
1006	C₄×C₇	—	4	1	no	—
1007	C₄×C₇	—	4	1	no	—
1008	C₄×C₇	—	4	1	no	—
1009	C₄×C₇	—	4	1	no	—
1010	C₄×C₇	—	4	1	no	—
1011	C₄×C₇	—	4	1	no	—
1012	C₄×C₇	—	4	1	no	—
1013	Dic₇	—	2	2	no	—
1014	Dic₇	—	2	2	no	—
1015	Dic₇	—	2	2	no	—
1016	Dic₇	—	2	2	no	—
1017	Dic₇	—	4	1	no	—
1018	Dic₇	—	4	1	no	—
1019	Dic₇	—	4	1	no	—
1020	Dic₇	—	4	1	no	—
1021	Dic₇	—	4	1	no	—
1022	Dic₇	—	4	1	no	—
1023	Dic₇	—	4	1	no	—
1024	Dic₇	—	4	1	no	—
1025	Dic₇	—	4	1	no	—
1026	Dic₇	—	4	1	no	—
1027	Dic₇	—	4	1	no	—
1028	C₂⁴	—	7	1	no	—
1029	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1030	C₂×Q₈	—	14	2	no	—
1031	C₂×Q₈	—	14	2	no	—
1032	C₂×Q₈	—	14	2	no	—
1033	C₂×Q₈	—	28	1	no	—
1034	C₂×Q₈	—	28	1	no	—
1035	C₂×Q₈	—	28	1	no	—
1036	C₂×Q₈	—	28	1	no	—
1037	C₂×Q₈	—	28	1	no	—
1038	C₂×Q₈	—	28	1	no	—
1039	C₂×Q₈	—	28	1	no	—
1040	C₂×Q₈	—	28	1	no	—
1041	C₂×Q₈	—	28	1	no	—
1042	C₂×Q₈	—	28	1	no	—
1043	C₂×Q₈	—	28	1	no	—
1044	C₂×Q₈	—	28	1	no	—
1045	C₂×D₄	—	7	4	no	—
1046	C₂×D₄	—	28	1	no	—
1047	C₂×D₄	—	28	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	7	1	no	—
1052	C₂²×C₄	—	7	1	no	—
1053	C₂²×C₄	—	7	1	no	—
1054	C₂²×C₄	—	7	1	no	—
1055	C₂²×C₄	—	7	4	no	—
1056	C₂²×C₄	—	7	4	no	—
1057	C₂²×C₄	—	7	1	no	—
1058	C₂²×C₄	—	7	1	no	—
1059	C₂²×C₄	—	7	1	no	—
1060	C₂²×C₄	—	7	1	no	—
1061	C₂²×C₄	—	7	1	no	—
1062	C₂²×C₄	—	7	1	no	—
1063	C₂²×C₄	—	7	1	no	—
1064	C₂²×C₄	—	7	1	no	—
1065	C₂²×C₄	—	7	1	no	—
1066	C₂²×C₄	—	7	1	no	—
1067	C₂²×C₄	—	7	1	no	—
1068	C₂²×C₄	—	14	2	no	—
1069	C₂²×C₄	—	14	2	no	—
1070	C₂²×C₄	—	14	2	no	—
1071	C₂²×C₄	—	28	1	no	—
1072	C₂²×C₄	—	28	1	no	—
1073	C₂²×C₄	—	28	1	no	—
1074	C₂²×C₄	—	28	1	no	—
1075	C₂²×C₄	—	28	1	no	—
1076	C₂²×C₄	—	28	1	no	—
1077	C₂²×C₄	—	28	1	no	—
1078	C₂²×C₄	—	28	1	no	—
1079	C₂²×C₄	—	28	1	no	—
1080	C₂²×C₄	—	28	1	no	—
1081	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	7	4	no	—
1110	C₄⋊C₄	—	14	2	no	—
1111	C₄⋊C₄	—	14	2	no	—
1112	C₄⋊C₄	—	14	2	no	—
1113	C₄⋊C₄	—	14	2	no	—
1114	C₄⋊C₄	—	14	2	no	—
1115	C₄⋊C₄	—	14	2	no	—
1116	C₄⋊C₄	—	14	2	no	—
1117	C₄⋊C₄	—	14	2	no	—
1118	C₄⋊C₄	—	14	2	no	—
1119	C₄⋊C₄	—	28	1	no	—
1120	C₄⋊C₄	—	28	1	no	—
1121	C₄⋊C₄	—	28	1	no	—
1122	C₄⋊C₄	—	28	1	no	—
1123	C₄⋊C₄	—	28	1	no	—
1124	C₄⋊C₄	—	28	1	no	—
1125	C₄⋊C₄	—	28	1	no	—
1126	C₄⋊C₄	—	28	1	no	—
1127	C₄⋊C₄	—	28	1	no	—
1128	C₄⋊C₄	—	28	1	no	—
1129	C₄⋊C₄	—	28	1	no	—
1130	C₄⋊C₄	—	28	1	no	—
1131	C₄⋊C₄	—	28	1	no	—
1132	C₄⋊C₄	—	28	1	no	—
1133	C₄⋊C₄	—	28	1	no	—
1134	C₄⋊C₄	—	28	1	no	—
1135	C₄⋊C₄	—	28	1	no	—
1136	C₄⋊C₄	—	28	1	no	—
1137	C₄⋊C₄	—	28	1	no	—
1138	C₄⋊C₄	—	28	1	no	—
1139	C₄⋊C₄	—	28	1	no	—
1140	C₄⋊C₄	—	28	1	no	—
1141	C₄⋊C₄	—	28	1	no	—
1142	C₄⋊C₄	—	28	1	no	—
1143	C₄⋊C₄	—	28	1	no	—
1144	C₄⋊C₄	—	28	1	no	—
1145	C₄⋊C₄	—	28	1	no	—
1146	C₄⋊C₄	—	28	1	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	2	2	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	7	4	no	—
1153	C₂²⋊C₄	—	14	2	no	—
1154	C₂²⋊C₄	—	28	1	no	—
1155	C₂²⋊C₄	—	28	1	no	—
1156	C₂²⋊C₄	—	28	1	no	—
1157	C₂²⋊C₄	—	28	1	no	—
1158	C₂²⋊C₄	—	28	1	no	—
1159	C₂²⋊C₄	—	28	1	no	—
1160	C₂²⋊C₄	—	28	1	no	—
1161	C₂²⋊C₄	—	28	1	no	—
1162	C₂²⋊C₄	—	28	1	no	—
1163	C₂²⋊C₄	—	28	1	no	—
1164	C₂²⋊C₄	—	28	1	no	—
1165	C₂²⋊C₄	—	28	1	no	—
1166	C₂²⋊C₄	—	28	1	no	—
1167	C₂²⋊C₄	—	28	1	no	—
1168	C₂²⋊C₄	Q₈×D₇	1	4	yes	—
1169	C₄²	—	2	2	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	7	4	no	—
1172	C₄²	—	14	2	no	—
1173	C₄²	—	28	1	no	—
1174	C₄²	—	28	1	no	—
1175	C₄²	—	28	1	no	—
1176	C₄²	—	28	1	no	—
1177	C₄²	—	28	1	no	—
1178	C₄²	—	28	1	no	—
1179	C₄²	—	28	1	no	—
1180	C₄²	—	28	1	no	—
1181	C₄²	—	28	1	no	—
1182	C₂×C₇	—	4	2	no	—
1183	C₂×C₇	#3458	1	1	yes	characteristic
1184	C₂×C₇	#3501	1	1	yes	characteristic
1185	C₂×C₇	#3503	1	1	yes	characteristic
1186	C₂×C₇	#3534	1	1	yes	characteristic
1187	C₂×C₇	#3541	1	1	yes	characteristic
1188	C₂×C₇	#3551	1	1	yes	characteristic
1189	C₂×C₇	#3565	1	1	yes	characteristic
1190	D₇	—	4	2	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	7	2	no	—
1198	C₂³	—	14	1	no	—
1199	C₂³	—	14	1	no	—
1200	C₂³	—	14	1	no	—
1201	C₂³	—	14	1	no	—
1202	C₂³	—	14	1	no	—
1203	C₂³	—	14	1	no	—
1204	C₂³	C₂×Q₈×D₇	1	2	yes	—
1205	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1206	Q₈	—	56	2	no	—
1207	Q₈	—	56	2	no	—
1208	Q₈	—	56	2	no	—
1209	Q₈	—	56	2	no	—
1210	Q₈	—	56	2	no	—
1211	D₄	—	28	4	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	7	2	no	—
1251	C₂×C₄	—	7	2	no	—
1252	C₂×C₄	—	7	2	no	—
1253	C₂×C₄	—	7	2	no	—
1254	C₂×C₄	—	8	2	no	—
1255	C₂×C₄	—	14	1	no	—
1256	C₂×C₄	—	14	1	no	—
1257	C₂×C₄	—	14	1	no	—
1258	C₂×C₄	—	14	1	no	—
1259	C₂×C₄	—	14	1	no	—
1260	C₂×C₄	—	14	1	no	—
1261	C₂×C₄	—	14	1	no	—
1262	C₂×C₄	—	14	1	no	—
1263	C₂×C₄	—	14	1	no	—
1264	C₂×C₄	—	14	1	no	—
1265	C₂×C₄	—	14	1	no	—
1266	C₂×C₄	—	14	1	no	—
1267	C₂×C₄	—	14	1	no	—
1268	C₂×C₄	—	14	1	no	—
1269	C₂×C₄	—	14	1	no	—
1270	C₂×C₄	—	14	1	no	—
1271	C₂×C₄	—	14	1	no	—
1272	C₂×C₄	—	14	1	no	—
1273	C₂×C₄	—	14	1	no	—
1274	C₂×C₄	—	14	1	no	—
1275	C₂×C₄	—	14	1	no	—
1276	C₂×C₄	—	14	1	no	—
1277	C₂×C₄	—	14	1	no	—
1278	C₂×C₄	—	14	1	no	—
1279	C₂×C₄	—	14	1	no	—
1280	C₂×C₄	—	14	1	no	—
1281	C₂×C₄	—	14	1	no	—
1282	C₂×C₄	—	14	1	no	—
1283	C₂×C₄	—	14	1	no	—
1284	C₂×C₄	—	14	1	no	—
1285	C₂×C₄	—	14	1	no	—
1286	C₂×C₄	—	14	1	no	—
1287	C₂×C₄	—	14	1	no	—
1288	C₂×C₄	—	14	1	no	—
1289	C₂×C₄	—	14	1	no	—
1290	C₂×C₄	—	14	1	no	—
1291	C₂×C₄	—	14	1	no	—
1292	C₂×C₄	—	14	1	no	—
1293	C₂×C₄	—	14	1	no	—
1294	C₂×C₄	—	14	1	no	—
1295	C₂×C₄	—	14	1	no	—
1296	C₂×C₄	—	28	4	no	—
1297	C₂×C₄	—	28	4	no	—
1298	C₂×C₄	—	28	4	no	—
1299	C₂×C₄	—	28	4	no	—
1300	C₂×C₄	—	56	2	no	—
1301	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1302	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1303	C₂×C₄	#6553	1	2	yes	—
1304	C₂×C₄	#6554	1	2	yes	—
1305	C₇	#36754	1	1	yes	characteristic, complemented, Sylow
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	14	2	no	—
1314	C₂²	—	14	2	no	—
1315	C₂²	—	14	2	no	—
1316	C₂²	—	28	1	no	—
1317	C₂²	—	28	1	no	—
1318	C₂²	—	28	1	no	—
1319	C₂²	—	28	1	no	—
1320	C₂²	C₂²×Q₈×D₇	1	1	yes	characteristic
1321	C₂²	C₂×#6553	1	1	yes	characteristic
1322	C₂²	C₂×#6554	1	1	yes	characteristic
1323	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1324	C₂²	#90618	1	1	yes	characteristic
1325	C₂²	#90618	1	1	yes	characteristic
1326	C₂²	#90620	1	1	yes	characteristic
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	14	2	no	—
1342	C₄	—	14	2	no	—
1343	C₄	—	14	2	no	—
1344	C₄	—	14	2	no	—
1345	C₄	—	28	1	no	—
1346	C₄	—	28	1	no	—
1347	C₄	—	28	1	no	—
1348	C₄	—	28	1	no	—
1349	C₄	—	28	1	no	—
1350	C₄	—	28	1	no	—
1351	C₄	—	28	1	no	—
1352	C₄	—	28	1	no	—
1353	C₄	—	28	1	no	—
1354	C₄	—	28	1	no	—
1355	C₄	—	28	1	no	—
1356	C₂	—	4	2	no	—
1357	C₂	—	28	2	no	—
1358	C₂	#11743526	1	1	yes	characteristic
1359	C₂	#11743609	1	1	yes	characteristic
1360	C₂	#11743649	1	1	yes	characteristic
1361	C₂	#11743961	1	1	yes	characteristic
1362	C₂	#11743994	1	1	yes	characteristic
1363	C₂	#11744016	1	1	yes	characteristic
1364	C₂	#11744144	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2790	C₂
prime radical	C₂²×C₂²⋊D₇	C₂³
hypercenter	#2790	D₇
hypocenter	C₇	#36754
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2790

Complements

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

N	H ≅ G/N	type
1. C₇×#2790	C₂	semidirect
2. #11735723	C₂	semidirect
3. #11735679	C₂	semidirect
4. #11735449	C₂	semidirect
5. #11735364	C₂	semidirect
6. #11735297	C₂	semidirect
7. #11735290	C₂	semidirect
8. #11735262	C₂	semidirect
9. #11735258	C₂	semidirect
12. #11734774	C₂	semidirect
13. #11734733	C₂	semidirect
14. #11733589	C₂	semidirect
15. #11733506	C₂	semidirect
16. #11733151	C₂	semidirect
17. #11733151	C₂	semidirect
20. #11732893	C₂	semidirect
21. #11732835	C₂	semidirect
22. #11732624	C₂	semidirect
23. #11732573	C₂	semidirect
25. #11731968	C₂	semidirect
27. #11731917	C₂	semidirect
28. #11731860	C₂	semidirect
30. #11731821	C₂	semidirect
31. #11731795	C₂	semidirect
293. (C₂²⋊D₇)⋊C₄	Q₈	semidirect
360. #2790	D₇	semidirect
1305. C₇	#36754	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2790	2
#11735723	2
#11735679	2
#11735449	2
#11735364	2
#11735297	2
#11735290	2
#11735262	2
#11735258	2
#11734890	2
#11734878	2
#11734774	2
#11734733	2
#11733589	2
#11733506	2
#11733151	2
#11732903	2
#11732894	2
#11732893	2
#11732835	2
#11732624	2
#11732573	2
#11732014	2
#11731968	2
#11731961	2
#11731917	2
#11731860	2
#11731828	2
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