Subgroups — #13517421

Order 1792.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#90392	C₂	1	1	yes	maximal, characteristic
2	C₇×#2373	C₂	1	1	yes	maximal, characteristic
3	#11740521	C₂	1	1	yes	maximal, characteristic
4	#11733426	C₂	1	1	yes	maximal, characteristic, complemented
5	#11733418	C₂	1	1	yes	maximal, characteristic, complemented
6	#11732939	C₂	1	1	yes	maximal, characteristic
7	#11732939	C₂	1	1	yes	maximal, characteristic
8	#11732939	C₂	1	1	yes	maximal, characteristic
9	#11732905	C₂	1	1	yes	maximal, characteristic
10	#11732904	C₂	1	1	yes	maximal, characteristic
11	#11732901	C₂	1	1	yes	maximal, characteristic
12	#11732414	C₂	1	1	yes	maximal, characteristic, complemented
13	#11732412	C₂	1	1	yes	maximal, characteristic, complemented
14	#11732409	C₂	1	1	yes	maximal, characteristic, complemented
15	#11732404	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732403	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732394	C₂	1	1	yes	maximal, characteristic, complemented
18	#11731845	C₂	1	1	yes	maximal, characteristic
19	#11731823	C₂	1	1	yes	maximal, characteristic
20	#11731107	C₂	1	1	yes	maximal, characteristic, complemented
21	#11731097	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄⋊C₄×Dic₁₄	C₂	1	1	yes	maximal, characteristic, complemented
23	#11731076	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731075	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731071	C₂	1	1	yes	maximal, characteristic, complemented
26	#11730922	C₂	1	1	yes	maximal, characteristic
27	#11730921	C₂	1	1	yes	maximal, characteristic
28	C₄×#6441	C₂	1	1	yes	maximal, characteristic
29	C₄×#6441	C₂	1	1	yes	maximal, characteristic
30	#11730838	C₂	1	1	yes	maximal, characteristic, complemented
31	#11730835	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
34	#90392	C₄	1	16	yes	complemented
35	C₂×#6453	C₂²	1	1	yes	characteristic
36	C₂×#6452	C₂²	1	1	yes	characteristic
37	C₂×#6452	C₂²	1	1	yes	characteristic
38	C₂×#6452	C₂²	1	1	yes	characteristic
39	C₂×#6451	C₂²	1	1	yes	characteristic
40	C₂×#6450	C₂²	1	1	yes	characteristic
41	C₂×#6450	C₂²	1	1	yes	characteristic
42	C₂×#6442	C₂²	1	1	yes	characteristic
43	C₂×#6442	C₂²	1	1	yes	characteristic
44	C₂×#6442	C₂²	1	1	yes	characteristic
45	C₂×#6441	C₂²	1	1	yes	characteristic
46	C₂×#6441	C₂²	1	1	yes	characteristic
47	C₂×#6440	C₂²	1	1	yes	characteristic
48	C₂×#6440	C₂²	1	1	yes	characteristic
49	C₂×#6433	C₂²	1	1	yes	characteristic
50	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
51	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
54	C₇×#389	C₂²	1	1	yes	characteristic
55	C₇×#388	C₂²	1	1	yes	characteristic
56	C₇×#388	C₂²	1	1	yes	characteristic
57	C₇×#388	C₂²	1	1	yes	characteristic
58	C₇×#387	C₂²	1	1	yes	characteristic
59	C₇×#387	C₂²	1	1	yes	characteristic
60	C₇×#387	C₂²	1	1	yes	characteristic
61	C₇×#385	C₂²	1	1	yes	characteristic
62	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₇×#376	C₂²	1	1	yes	characteristic
68	#89982	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
71	#89757	C₂²	1	1	yes	characteristic
72	#89757	C₂²	1	1	yes	characteristic
73	#89757	C₂²	1	1	yes	characteristic
74	#89753	C₂²	1	1	yes	characteristic
75	#89753	C₂²	1	1	yes	characteristic
76	#89753	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	#89748	C₂²	1	1	yes	characteristic
81	#89748	C₂²	1	1	yes	characteristic
82	#89748	C₂²	1	1	yes	characteristic
83	#89748	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	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
88	#89745	C₂²	1	1	yes	characteristic
89	#89744	C₂²	1	1	yes	characteristic
90	#89744	C₂²	1	1	yes	characteristic
91	#89744	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	#89723	C₂²	1	1	yes	characteristic
99	#89722	C₂²	1	1	yes	characteristic
100	#89722	C₂²	1	1	yes	characteristic
101	#89722	C₂²	1	1	yes	characteristic
102	#89718	C₂²	1	1	yes	characteristic
103	#89718	C₂²	1	1	yes	characteristic
104	#89718	C₂²	1	1	yes	characteristic
105	#89717	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	#89716	C₂²	1	1	yes	characteristic
111	#89714	C₂²	1	1	yes	characteristic
112	#89714	C₂²	1	1	yes	characteristic
113	#89709	C₂²	1	1	yes	characteristic
114	#89707	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊Dic₇	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	#89705	C₂²	1	1	yes	characteristic
123	#89705	C₂²	1	1	yes	characteristic
124	#89705	C₂²	1	1	yes	characteristic
125	#89705	C₂²	1	1	yes	characteristic
126	#89704	C₂²	1	1	yes	characteristic
127	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
128	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
129	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
130	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
131	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
132	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
133	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
135	#89700	C₂²	1	1	yes	characteristic
136	#89700	C₂²	1	1	yes	characteristic
137	#89700	C₂²	1	1	yes	characteristic
138	#89700	C₂²	1	1	yes	characteristic
139	#89700	C₂²	1	1	yes	characteristic
140	#89427	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	#89427	C₂²	1	1	yes	characteristic
145	#89427	C₂²	1	1	yes	characteristic
146	#89427	C₂²	1	1	yes	characteristic
147	#89426	C₂²	1	1	yes	characteristic
148	#89426	C₂²	1	1	yes	characteristic
149	#89426	C₂²	1	1	yes	characteristic
150	#89426	C₂²	1	1	yes	characteristic
151	#89425	C₂²	1	1	yes	characteristic
152	#89425	C₂²	1	1	yes	characteristic
153	#89425	C₂²	1	1	yes	characteristic
154	#89425	C₂²	1	1	yes	characteristic
155	#89425	C₂²	1	1	yes	characteristic
156	#89425	C₂²	1	1	yes	characteristic
157	#89424	C₂²	1	1	yes	characteristic
158	#89424	C₂²	1	1	yes	characteristic
159	#89423	C₂²	1	1	yes	characteristic
160	#89423	C₂²	1	1	yes	characteristic
161	#89423	C₂²	1	1	yes	characteristic
162	#89422	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	#89420	C₂²	1	1	yes	characteristic
172	#89420	C₂²	1	1	yes	characteristic
173	#89419	C₂²	1	1	yes	characteristic
174	#89419	C₂²	1	1	yes	characteristic
175	#89419	C₂²	1	1	yes	characteristic
176	#89419	C₂²	1	1	yes	characteristic
177	#89419	C₂²	1	1	yes	characteristic
178	#89419	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	#89419	C₂²	1	1	yes	characteristic
183	#89419	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	#89418	C₂²	1	1	yes	characteristic
188	#34420	—	7	1	no	maximal, Sylow
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	C₇×#126	C₂×C₄	1	8	yes	—
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×C₂²⋊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×C₄²×C₇	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×C₄²×C₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇	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	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊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	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₇	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×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×C₄×Dic₇	—	4	2	no	—
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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
294	#6453	C₂×C₄	1	8	yes	complemented
295	#6452	C₂×C₄	1	8	yes	complemented
296	#6452	C₂×C₄	1	8	yes	complemented
297	#6452	C₂×C₄	1	8	yes	complemented
298	#6451	C₂×C₄	1	8	yes	complemented
299	#6450	—	4	2	no	—
300	#6450	C₂×C₄	1	8	yes	complemented
301	#6442	C₂×C₄	1	8	yes	—
302	#6442	C₂×C₄	1	8	yes	—
303	#6442	C₂×C₄	1	8	yes	—
304	#6441	C₂×C₄	1	8	yes	—
305	#6441	C₂×C₄	1	8	yes	—
306	#6440	—	4	2	no	—
307	#6440	C₂×C₄	1	8	yes	—
308	#6433	C₂×C₄	1	8	yes	complemented
309	C₄×Dic₁₄	—	4	2	no	—
310	C₄×Dic₁₄	—	4	2	no	—
311	C₄×Dic₁₄	—	4	2	no	—
312	C₄×Dic₁₄	C₂×C₄	1	8	yes	complemented
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	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	C₇⋊#95	C₂³	1	1	yes	characteristic
359	C₇⋊#95	C₂³	1	1	yes	characteristic
360	C₇⋊#95	C₂³	1	1	yes	characteristic
361	C₇⋊#95	C₂³	1	1	yes	characteristic
362	C₇⋊#95	C₂³	1	1	yes	characteristic
363	C₇⋊#95	C₂³	1	1	yes	characteristic
364	C₇⋊#95	C₂³	1	1	yes	characteristic
365	C₂×#541	—	7	1	no	—
366	#2383	—	7	1	no	—
367	#2383	—	7	1	no	—
368	#2383	—	7	1	no	—
369	#2383	—	7	1	no	—
370	#2373	—	7	1	no	—
371	#2373	—	7	1	no	—
372	#2373	—	7	1	no	—
373	#2373	D₇	1	1	yes	characteristic
374	#2370	—	7	1	no	—
375	#2370	—	7	1	no	—
376	#2365	—	7	1	no	—
377	#2365	—	7	1	no	—
378	#2356	—	7	1	no	—
379	#2356	—	7	1	no	—
380	Q₈×C₄⋊C₄	—	7	1	no	—
381	Q₈×C₄⋊C₄	—	7	1	no	—
382	#2336	—	7	1	no	—
383	#2336	—	7	1	no	—
384	#2336	—	7	1	no	—
385	#2336	—	7	1	no	—
386	#2330	—	7	1	no	—
387	#2330	—	7	1	no	—
388	#2330	—	7	1	no	—
389	#2330	—	7	1	no	—
390	#2323	—	7	1	no	—
391	#2323	—	7	1	no	—
392	#2314	—	7	1	no	—
393	C₄×C₂²⋊Q₈	—	7	1	no	—
394	C₄×C₂²⋊Q₈	—	7	1	no	—
395	#2296	—	7	1	no	—
396	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	2	2	no	—
399	C₂²×C₄×C₇	—	4	1	no	—
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×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇	—	2	2	no	—
415	C₂²×Dic₇	—	2	2	no	—
416	C₂²×Dic₇	—	4	1	no	—
417	C₂²×Dic₇	—	4	1	no	—
418	C₂²×Dic₇	—	4	1	no	—
419	C₂²×Dic₇	C₂²×C₄	1	4	yes	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
436	C₂×Dic₁₄	—	2	2	no	—
437	C₂×Dic₁₄	—	2	2	no	—
438	C₂×Dic₁₄	—	2	2	no	—
439	C₂×Dic₁₄	—	2	2	no	—
440	C₂×Dic₁₄	C₂²×C₄	1	4	yes	—
441	C₂×Dic₁₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
448	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
449	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
454	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
455	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
456	C₄²×C₇	—	2	2	no	—
457	C₄²×C₇	—	2	2	no	—
458	C₄²×C₇	—	4	1	no	—
459	C₄²×C₇	—	4	1	no	—
460	C₄²×C₇	—	4	1	no	—
461	C₄²×C₇	—	4	1	no	—
462	C₄²×C₇	—	4	1	no	—
463	C₄²×C₇	C₂²×C₄	1	4	yes	—
464	C₂²⋊Dic₇	—	4	1	no	—
465	C₂²⋊Dic₇	—	4	1	no	—
466	C₂²⋊Dic₇	—	4	1	no	—
467	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
468	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
469	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
470	C₄⋊Dic₇	—	4	1	no	—
471	C₄⋊Dic₇	—	4	1	no	—
472	C₄⋊Dic₇	—	4	1	no	—
473	C₄⋊Dic₇	—	4	1	no	—
474	C₄⋊Dic₇	—	4	1	no	—
475	C₄⋊Dic₇	—	4	1	no	—
476	C₄⋊Dic₇	—	4	1	no	—
477	C₄⋊Dic₇	—	4	1	no	—
478	C₄⋊Dic₇	—	4	1	no	—
479	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
480	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
481	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
482	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
483	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
491	Dic₇⋊C₄	—	4	1	no	—
492	Dic₇⋊C₄	—	4	1	no	—
493	Dic₇⋊C₄	—	4	1	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	—	4	1	no	—
501	Dic₇⋊C₄	—	4	1	no	—
502	Dic₇⋊C₄	—	4	1	no	—
503	Dic₇⋊C₄	—	4	1	no	—
504	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
505	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
506	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
507	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
508	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
509	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
510	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
511	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
512	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
513	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
514	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
515	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
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	—	2	2	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	—	4	1	no	—
528	C₄×Dic₇	—	4	1	no	—
529	C₄×Dic₇	—	4	1	no	—
530	C₄×Dic₇	—	4	1	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	C₂²×C₄	1	4	yes	—
536	C₄×Dic₇	C₂²×C₄	1	4	yes	—
537	C₄×Dic₇	C₂²×C₄	1	4	yes	—
538	C₄×Dic₇	C₂²×C₄	1	4	yes	—
539	C₄×Dic₇	C₂²×C₄	1	4	yes	—
540	#541	—	7	16	no	—
541	C₂×C₄⋊Q₈	—	7	1	no	—
542	C₂×#126	—	7	1	no	—
543	C₂×#126	—	7	1	no	—
544	C₂×#126	—	7	1	no	—
545	C₂×#126	C₂×D₇	1	1	yes	characteristic
546	C₂×#125	—	7	1	no	—
547	C₂×#125	—	7	1	no	—
548	C₂×#125	—	7	1	no	—
549	C₂×#125	—	7	1	no	—
550	C₂×#125	—	7	1	no	—
551	C₂×C₂²⋊Q₈	—	7	1	no	—
552	C₂×C₂²⋊Q₈	—	7	1	no	—
553	C₂×C₄×Q₈	—	7	1	no	—
554	C₂×C₄×Q₈	—	7	1	no	—
555	C₂×C₄×Q₈	—	7	1	no	—
556	C₂×C₄×Q₈	—	7	1	no	—
557	C₂×C₄×Q₈	—	7	1	no	—
558	C₂×C₄×Q₈	—	7	1	no	—
559	C₂×#117	—	7	1	no	—
560	C₂×#117	—	7	1	no	—
561	C₂²×C₄²	—	7	1	no	—
562	#391	—	7	1	no	—
563	#391	—	7	1	no	—
564	#391	—	7	1	no	—
565	#391	—	7	1	no	—
566	#389	—	7	1	no	—
567	#389	—	7	1	no	—
568	#389	—	7	1	no	—
569	#389	—	7	1	no	—
570	#389	—	7	1	no	—
571	#389	—	7	1	no	—
572	#389	—	7	1	no	—
573	#389	—	7	1	no	—
574	#389	—	7	1	no	—
575	#389	—	7	1	no	—
576	#389	—	7	1	no	—
577	#389	—	7	1	no	—
578	#389	—	7	1	no	—
579	#389	—	7	1	no	—
580	#389	—	7	1	no	—
581	#389	—	7	1	no	—
582	#389	—	7	1	no	—
583	#389	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
594	#388	—	7	1	no	—
595	#388	—	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	—	7	1	no	—
603	#388	C₂×D₇	1	1	yes	characteristic
604	#388	C₂×D₇	1	1	yes	characteristic
605	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
634	#387	—	7	1	no	—
635	#387	—	7	1	no	—
636	#387	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	—	7	1	no	—
639	#387	C₂×D₇	1	1	yes	characteristic
640	#387	C₂×D₇	1	1	yes	characteristic
641	#387	C₂×D₇	1	1	yes	characteristic
642	#385	—	7	1	no	—
643	#385	—	7	1	no	—
644	#385	—	7	1	no	—
645	#385	—	7	1	no	—
646	#385	—	7	1	no	—
647	#385	—	7	1	no	—
648	#385	—	7	1	no	—
649	#385	C₂×D₇	1	1	yes	characteristic
650	#384	—	7	1	no	—
651	#384	—	7	1	no	—
652	#384	—	7	1	no	—
653	#384	—	7	1	no	—
654	#384	—	7	1	no	—
655	#383	—	7	1	no	—
656	#383	—	7	1	no	—
657	#383	—	7	1	no	—
658	#383	—	7	1	no	—
659	#382	—	7	1	no	—
660	#380	—	7	1	no	—
661	#380	—	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	—	7	1	no	—
670	C₄×C₄⋊C₄	—	7	1	no	—
671	C₄×C₄⋊C₄	—	7	1	no	—
672	C₄×C₄⋊C₄	—	7	1	no	—
673	C₄×C₄⋊C₄	—	7	1	no	—
674	C₄×C₄⋊C₄	—	7	1	no	—
675	C₄×C₄⋊C₄	—	7	1	no	—
676	C₄×C₄⋊C₄	—	7	1	no	—
677	C₄×C₄⋊C₄	—	7	1	no	—
678	C₄×C₄⋊C₄	—	7	1	no	—
679	C₄×C₄⋊C₄	—	7	1	no	—
680	C₄×C₄⋊C₄	—	7	1	no	—
681	C₄×C₄⋊C₄	—	7	1	no	—
682	C₄×C₄⋊C₄	—	7	1	no	—
683	C₄×C₄⋊C₄	—	7	1	no	—
684	C₄×C₄⋊C₄	—	7	1	no	—
685	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
686	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
687	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
688	C₄×C₂²⋊C₄	—	7	1	no	—
689	C₄×C₂²⋊C₄	—	7	1	no	—
690	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
691	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
692	#376	—	7	1	no	—
693	#376	—	7	1	no	—
694	#376	—	7	1	no	—
695	#376	C₂×D₇	1	1	yes	characteristic
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	C₂³×C₄	1	2	yes	—
703	C₂³×C₇	C₂⁵	1	1	yes	characteristic
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	—	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	—	4	4	no	—
739	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
740	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
741	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
742	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
743	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
744	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
745	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
746	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
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	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	8	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	—	4	4	no	—
787	C₂×Dic₇	C₂³×C₄	1	2	yes	—
788	C₂×Dic₇	C₂³×C₄	1	2	yes	—
789	C₂×Dic₇	C₂³×C₄	1	2	yes	—
790	C₂×Dic₇	C₂³×C₄	1	2	yes	—
791	C₂×Dic₇	C₂³×C₄	1	2	yes	—
792	C₂×Dic₇	C₂³×C₄	1	2	yes	—
793	C₂×Dic₇	C₂³×C₄	1	2	yes	—
794	C₂×Dic₇	C₂³×C₄	1	2	yes	—
795	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
796	C₂×Dic₇	2₋¹⁺⁴	1	2	yes	—
797	Dic₁₄	—	2	8	no	—
798	Dic₁₄	—	2	8	no	—
799	C₂²×Q₈	—	7	1	no	—
800	C₂²×Q₈	—	7	1	no	—
801	C₂³×C₄	—	7	1	no	—
802	C₂³×C₄	—	7	1	no	—
803	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
804	C₄⋊Q₈	—	7	8	no	—
805	#126	—	7	8	no	—
806	#126	—	7	8	no	—
807	#126	—	7	8	no	—
808	#126	C₄×D₇	1	8	yes	—
809	#125	—	7	8	no	—
810	#125	—	7	8	no	—
811	#125	—	7	8	no	—
812	#125	—	7	8	no	—
813	#125	—	7	8	no	—
814	C₂²⋊Q₈	—	7	8	no	—
815	C₂²⋊Q₈	—	7	8	no	—
816	C₄×Q₈	—	7	8	no	—
817	C₄×Q₈	—	7	8	no	—
818	C₄×Q₈	—	28	2	no	—
819	C₄×Q₈	—	28	2	no	—
820	C₄×Q₈	—	28	2	no	—
821	C₄×Q₈	—	28	2	no	—
822	#117	—	7	8	no	—
823	#117	—	28	2	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	—	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	C₂²×D₇	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	7	1	no	—
879	C₂×C₂²⋊C₄	—	7	1	no	—
880	C₂×C₂²⋊C₄	—	7	1	no	—
881	C₂×C₂²⋊C₄	—	7	1	no	—
882	C₂×C₂²⋊C₄	—	7	1	no	—
883	C₂×C₂²⋊C₄	—	7	1	no	—
884	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
899	C₂×C₄²	—	7	1	no	—
900	C₂×C₄²	—	7	1	no	—
901	C₂×C₄²	—	7	1	no	—
902	C₂×C₄²	—	7	1	no	—
903	C₂×C₄²	—	7	1	no	—
904	C₂×C₄²	—	7	1	no	—
905	C₂×C₄²	—	7	1	no	—
906	C₂×C₄²	—	7	1	no	—
907	C₂×C₄²	—	7	1	no	—
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	—	28	2	no	—
915	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
916	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
917	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
918	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
919	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
920	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
921	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
922	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
964	#95	C₂²×D₇	1	1	yes	characteristic
965	#95	C₂²×D₇	1	1	yes	characteristic
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	C₂²×C₇	—	2	2	no	—
976	C₂²×C₇	—	2	2	no	—
977	C₂²×C₇	—	2	2	no	—
978	C₂²×C₇	—	4	1	no	—
979	C₂²×C₇	—	4	1	no	—
980	C₂²×C₇	—	4	1	no	—
981	C₂²×C₇	—	4	1	no	—
982	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
983	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
984	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
985	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
986	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
987	C₂²×C₇	#585	1	1	yes	characteristic
988	C₂²×C₇	#585	1	1	yes	characteristic
989	C₄×C₇	—	2	2	no	—
990	C₄×C₇	—	2	2	no	—
991	C₄×C₇	—	2	2	no	—
992	C₄×C₇	—	2	2	no	—
993	C₄×C₇	—	2	2	no	—
994	C₄×C₇	—	2	2	no	—
995	C₄×C₇	—	2	2	no	—
996	C₄×C₇	—	2	2	no	—
997	C₄×C₇	—	4	1	no	—
998	C₄×C₇	—	4	1	no	—
999	C₄×C₇	—	4	1	no	—
1000	C₄×C₇	—	4	1	no	—
1001	C₄×C₇	—	4	1	no	—
1002	C₄×C₇	—	4	1	no	—
1003	Dic₇	—	2	2	no	—
1004	Dic₇	—	2	2	no	—
1005	Dic₇	—	2	2	no	—
1006	Dic₇	—	2	2	no	—
1007	Dic₇	—	2	2	no	—
1008	Dic₇	—	2	2	no	—
1009	Dic₇	—	2	2	no	—
1010	Dic₇	—	4	1	no	—
1011	Dic₇	—	4	1	no	—
1012	Dic₇	—	4	1	no	—
1013	Dic₇	—	4	1	no	—
1014	Dic₇	—	4	1	no	—
1015	Dic₇	—	4	1	no	—
1016	Dic₇	—	4	1	no	—
1017	Dic₇	—	4	1	no	—
1018	Dic₇	#520	1	4	yes	—
1019	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1020	C₂×Q₈	—	7	4	no	—
1021	C₂×Q₈	—	7	4	no	—
1022	C₂×Q₈	—	14	2	no	—
1023	C₂×Q₈	—	14	2	no	—
1024	C₂×Q₈	—	14	2	no	—
1025	C₂×Q₈	—	14	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	7	1	no	—
1030	C₂²×C₄	—	7	4	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	—	7	1	no	—
1037	C₂²×C₄	—	7	1	no	—
1038	C₂²×C₄	—	7	1	no	—
1039	C₂²×C₄	—	7	1	no	—
1040	C₂²×C₄	—	7	1	no	—
1041	C₂²×C₄	—	7	1	no	—
1042	C₂²×C₄	—	7	1	no	—
1043	C₂²×C₄	—	7	1	no	—
1044	C₂²×C₄	—	7	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	14	2	no	—
1047	C₂²×C₄	—	14	2	no	—
1048	C₂²×C₄	—	28	1	no	—
1049	C₂²×C₄	—	28	1	no	—
1050	C₂²×C₄	—	28	1	no	—
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	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	7	4	no	—
1071	C₄⋊C₄	—	7	4	no	—
1072	C₄⋊C₄	—	7	4	no	—
1073	C₄⋊C₄	—	7	4	no	—
1074	C₄⋊C₄	—	7	4	no	—
1075	C₄⋊C₄	—	7	4	no	—
1076	C₄⋊C₄	—	7	4	no	—
1077	C₄⋊C₄	—	7	4	no	—
1078	C₄⋊C₄	—	7	4	no	—
1079	C₄⋊C₄	—	7	4	no	—
1080	C₄⋊C₄	—	7	4	no	—
1081	C₄⋊C₄	—	7	4	no	—
1082	C₄⋊C₄	—	7	4	no	—
1083	C₄⋊C₄	—	7	4	no	—
1084	C₄⋊C₄	—	7	4	no	—
1085	C₄⋊C₄	—	7	4	no	—
1086	C₄⋊C₄	—	7	4	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	—	28	1	no	—
1094	C₄⋊C₄	—	28	1	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	C₄⋊C₄	—	28	1	no	—
1104	C₄⋊C₄	—	28	1	no	—
1105	C₄⋊C₄	—	28	1	no	—
1106	C₄⋊C₄	—	28	1	no	—
1107	C₄⋊C₄	—	28	1	no	—
1108	C₄⋊C₄	—	28	1	no	—
1109	C₄⋊C₄	—	28	1	no	—
1110	C₄⋊C₄	—	28	1	no	—
1111	C₄⋊C₄	—	28	1	no	—
1112	C₄⋊C₄	—	28	1	no	—
1113	C₄⋊C₄	—	28	1	no	—
1114	C₄⋊C₄	—	28	1	no	—
1115	C₄⋊C₄	—	28	1	no	—
1116	C₄⋊C₄	C₂×C₄×D₇	1	4	yes	—
1117	C₄⋊C₄	C₂×C₄×D₇	1	4	yes	—
1118	C₄⋊C₄	C₂×C₄×D₇	1	4	yes	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	7	4	no	—
1123	C₂²⋊C₄	—	7	4	no	—
1124	C₂²⋊C₄	—	7	4	no	—
1125	C₂²⋊C₄	—	28	1	no	—
1126	C₂²⋊C₄	—	28	1	no	—
1127	C₂²⋊C₄	—	28	1	no	—
1128	C₂²⋊C₄	C₂×C₄×D₇	1	4	yes	—
1129	C₂²⋊C₄	C₂×C₄×D₇	1	4	yes	—
1130	C₂²⋊C₄	C₂×C₄×D₇	1	4	yes	—
1131	C₄²	—	2	2	no	—
1132	C₄²	—	2	2	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	—	4	1	no	—
1138	C₄²	—	7	4	no	—
1139	C₄²	—	7	4	no	—
1140	C₄²	—	7	4	no	—
1141	C₄²	—	7	4	no	—
1142	C₄²	—	7	4	no	—
1143	C₄²	—	14	2	no	—
1144	C₄²	—	14	2	no	—
1145	C₄²	—	14	2	no	—
1146	C₄²	—	14	2	no	—
1147	C₄²	—	14	2	no	—
1148	C₄²	—	14	2	no	—
1149	C₄²	—	28	1	no	—
1150	C₄²	—	28	1	no	—
1151	C₄²	—	28	1	no	—
1152	C₄²	—	28	1	no	—
1153	C₄²	—	28	1	no	—
1154	C₄²	—	28	1	no	—
1155	C₄²	—	28	1	no	—
1156	C₄²	—	28	1	no	—
1157	C₄²	—	28	1	no	—
1158	C₄²	—	28	1	no	—
1159	C₄²	—	28	1	no	—
1160	C₄²	—	28	1	no	—
1161	C₄²	—	28	1	no	—
1162	C₄²	C₂×C₄×D₇	1	4	yes	—
1163	C₂×C₇	—	4	2	no	—
1164	C₂×C₇	C₂×#520	1	1	yes	characteristic
1165	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1166	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1167	C₂×C₇	#3538	1	1	yes	characteristic
1168	C₂×C₇	#3539	1	1	yes	characteristic
1169	C₂×C₇	#3555	1	1	yes	characteristic
1170	C₂×C₇	#3555	1	1	yes	characteristic
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	C₂²×C₄×D₇	1	2	yes	—
1178	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1179	Q₈	—	14	8	no	—
1180	Q₈	—	14	8	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	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	4	4	no	—
1216	C₂×C₄	—	7	2	no	—
1217	C₂×C₄	—	7	2	no	—
1218	C₂×C₄	—	7	2	no	—
1219	C₂×C₄	—	7	2	no	—
1220	C₂×C₄	—	7	2	no	—
1221	C₂×C₄	—	7	2	no	—
1222	C₂×C₄	—	7	2	no	—
1223	C₂×C₄	—	7	2	no	—
1224	C₂×C₄	—	7	2	no	—
1225	C₂×C₄	—	7	2	no	—
1226	C₂×C₄	—	14	8	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	—	14	1	no	—
1254	C₂×C₄	—	14	1	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	—	28	4	no	—
1266	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1267	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1268	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1269	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1270	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1271	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1272	C₂×C₄	#6554	1	2	yes	—
1273	C₂×C₄	#6554	1	2	yes	—
1274	C₇	#34420	1	1	yes	characteristic, complemented, Sylow
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1283	C₂²	C₂×#6554	1	1	yes	characteristic
1284	C₂²	C₂×#6554	1	1	yes	characteristic
1285	C₂²	#90616	1	1	yes	characteristic
1286	C₂²	#90616	1	1	yes	characteristic
1287	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1288	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1289	C₄	—	2	2	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	7	4	no	—
1304	C₄	—	14	2	no	—
1305	C₄	—	14	2	no	—
1306	C₄	—	14	2	no	—
1307	C₄	—	14	2	no	—
1308	C₄	—	14	2	no	—
1309	C₄	—	14	2	no	—
1310	C₄	—	14	2	no	—
1311	C₄	—	28	1	no	—
1312	C₄	—	28	1	no	—
1313	C₄	—	28	1	no	—
1314	C₄	—	28	1	no	—
1315	C₄	—	28	1	no	—
1316	C₄	—	28	1	no	—
1317	C₄	—	28	1	no	—
1318	C₄	—	28	1	no	—
1319	C₂	—	4	2	no	—
1320	C₂	C₄×#6554	1	1	yes	characteristic
1321	C₂	C₄×#6554	1	1	yes	characteristic
1322	C₂	D₇×#520	1	1	yes	characteristic
1323	C₂	#11743871	1	1	yes	characteristic
1324	C₂	#11743917	1	1	yes	characteristic
1325	C₂	#11743960	1	1	yes	characteristic
1326	C₂	#11744064	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2373	C₂
socle, cosocle	C₂³×C₇	C₂⁵
prime radical	C₂⁴×C₇	C₂⁴
hypercenter	#2373	D₇
hypocenter	C₇	#34420
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2373

Complements

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

N	H ≅ G/N	type
4. #11733426	C₂	semidirect
5. #11733418	C₂	semidirect
12. #11732414	C₂	semidirect
13. #11732412	C₂	semidirect
14. #11732409	C₂	semidirect
15. #11732404	C₂	semidirect
16. #11732403	C₂	semidirect
17. #11732394	C₂	semidirect
20. #11731107	C₂	semidirect
21. #11731097	C₂	semidirect
22. C₄⋊C₄×Dic₁₄	C₂	semidirect
23. #11731076	C₂	semidirect
24. #11731075	C₂	semidirect
25. #11731071	C₂	semidirect
30. #11730838	C₂	semidirect
31. #11730835	C₂	semidirect
34. #90392	C₄	semidirect
294. #6453	C₂×C₄	semidirect
295. #6452	C₂×C₄	semidirect
296. #6452	C₂×C₄	semidirect
297. #6452	C₂×C₄	semidirect
298. #6451	C₂×C₄	semidirect
300. #6450	C₂×C₄	semidirect
308. #6433	C₂×C₄	semidirect
312. C₄×Dic₁₄	C₂×C₄	semidirect
1274. C₇	#34420	semidirect

Maximal subgroups

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

subgroup	index
C₂×#90392	2
C₇×#2373	2
#11740521	2
#11733426	2
#11733418	2
#11732939	2
#11732905	2
#11732904	2
#11732901	2
#11732414	2
#11732412	2
#11732409	2
#11732404	2
#11732403	2
#11732394	2
#11731845	2
#11731823	2
#11731107	2
#11731097	2
C₄⋊C₄×Dic₁₄	2
#11731076	2
#11731075	2
#11731071	2
#11730922	2
#11730921	2
C₄×#6441	2
#11730838	2
#11730835	2
#34420	7