Subgroups — D₇×#2524 #13523091

Order 1792.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2524	C₂	1	1	yes	maximal, characteristic, complemented
2	D₇×#400	C₂	1	1	yes	maximal, characteristic
3	D₇×#400	C₂	1	1	yes	maximal, characteristic
4	#11735609	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735608	C₂	1	1	yes	maximal, characteristic, complemented
6	D₇×#398	C₂	1	1	yes	maximal, characteristic
7	D₇×#398	C₂	1	1	yes	maximal, characteristic
8	#11735223	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735222	C₂	1	1	yes	maximal, characteristic, complemented
10	D₇×#387	C₂	1	1	yes	maximal, characteristic
11	D₇×#387	C₂	1	1	yes	maximal, characteristic
12	D₇×#387	C₂	1	1	yes	maximal, characteristic
13	D₇×#387	C₂	1	1	yes	maximal, characteristic
14	D₇×#387	C₂	1	1	yes	maximal, characteristic
15	D₇×#387	C₂	1	1	yes	maximal, characteristic
16	#11732497	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732496	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732495	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732494	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732493	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732492	C₂	1	1	yes	maximal, characteristic, complemented
22	D₇×#383	C₂	1	1	yes	maximal, characteristic
23	D₇×#383	C₂	1	1	yes	maximal, characteristic
24	#11731716	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731715	C₂	1	1	yes	maximal, characteristic, complemented
26	D₇×#382	C₂	1	1	yes	maximal, characteristic
27	#11731622	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×D₇×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
29	C₄×D₇×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
30	#11731148	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731147	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
47	C₇×#400	C₂²	1	1	yes	characteristic
48	C₇×#400	C₂²	1	1	yes	characteristic
49	C₇×#398	C₂²	1	1	yes	characteristic
50	C₇×#398	C₂²	1	1	yes	characteristic
51	C₇×#387	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×#387	C₂²	1	1	yes	characteristic
56	C₇×#387	C₂²	1	1	yes	characteristic
57	C₇×#383	C₂²	1	1	yes	characteristic
58	C₇×#383	C₂²	1	1	yes	characteristic
59	C₇×#382	C₂²	1	1	yes	characteristic
60	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	#89758	C₂²	1	1	yes	characteristic
63	#89758	C₂²	1	1	yes	characteristic
64	#89756	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	#89754	C₂²	1	1	yes	characteristic
71	#89754	C₂²	1	1	yes	characteristic
72	#89753	C₂²	1	1	yes	characteristic
73	#89753	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	#89753	C₂²	1	1	yes	characteristic
78	#89752	C₂²	1	1	yes	characteristic
79	#89752	C₂²	1	1	yes	characteristic
80	#89750	C₂²	1	1	yes	characteristic
81	#89750	C₂²	1	1	yes	characteristic
82	#89750	C₂²	1	1	yes	characteristic
83	#89750	C₂²	1	1	yes	characteristic
84	#89750	C₂²	1	1	yes	characteristic
85	#89750	C₂²	1	1	yes	characteristic
86	#89749	C₂²	1	1	yes	characteristic
87	#89749	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
92	#89709	C₂²	1	1	yes	characteristic
93	#89709	C₂²	1	1	yes	characteristic
94	#89708	C₂²	1	1	yes	characteristic
95	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
96	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
97	#89705	C₂²	1	1	yes	characteristic
98	#89705	C₂²	1	1	yes	characteristic
99	#89705	C₂²	1	1	yes	characteristic
100	#89705	C₂²	1	1	yes	characteristic
101	#89705	C₂²	1	1	yes	characteristic
102	#89705	C₂²	1	1	yes	characteristic
103	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
107	D₇×#95	C₂²	1	1	yes	characteristic
108	D₇×#95	C₂²	1	1	yes	characteristic
109	D₇×#95	C₂²	1	1	yes	characteristic
110	D₇×#95	C₂²	1	1	yes	characteristic
111	D₇×#95	C₂²	1	1	yes	characteristic
112	D₇×#95	C₂²	1	1	yes	characteristic
113	D₇×#95	C₂²	1	1	yes	characteristic
114	D₇×#95	C₂²	1	1	yes	characteristic
115	D₇×#95	C₂²	1	1	yes	characteristic
116	D₇×#95	C₂²	1	1	yes	characteristic
117	D₇×#95	C₂²	1	1	yes	characteristic
118	D₇×#95	C₂²	1	1	yes	characteristic
119	D₇×#95	C₂²	1	1	yes	characteristic
120	D₇×#95	C₂²	1	1	yes	characteristic
121	D₇×#95	C₂²	1	1	yes	characteristic
122	D₇×#95	C₂²	1	1	yes	characteristic
123	D₇×#95	C₂²	1	1	yes	characteristic
124	D₇×#95	C₂²	1	1	yes	characteristic
125	D₇×#95	C₂²	1	1	yes	characteristic
126	D₇×#95	C₂²	1	1	yes	characteristic
127	#89433	C₂²	1	1	yes	characteristic
128	#89433	C₂²	1	1	yes	characteristic
129	#89432	C₂²	1	1	yes	characteristic
130	#89432	C₂²	1	1	yes	characteristic
131	#89432	C₂²	1	1	yes	characteristic
132	#89432	C₂²	1	1	yes	characteristic
133	#89431	C₂²	1	1	yes	characteristic
134	#89431	C₂²	1	1	yes	characteristic
135	#89430	C₂²	1	1	yes	characteristic
136	#89430	C₂²	1	1	yes	characteristic
137	#89430	C₂²	1	1	yes	characteristic
138	#89430	C₂²	1	1	yes	characteristic
139	#89429	C₂²	1	1	yes	characteristic
140	#89429	C₂²	1	1	yes	characteristic
141	#89429	C₂²	1	1	yes	characteristic
142	#89429	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	#89427	C₂²	1	1	yes	characteristic
148	#89427	C₂²	1	1	yes	characteristic
149	#89426	C₂²	1	1	yes	characteristic
150	#89426	C₂²	1	1	yes	characteristic
151	#89426	C₂²	1	1	yes	characteristic
152	#89426	C₂²	1	1	yes	characteristic
153	#89426	C₂²	1	1	yes	characteristic
154	#89426	C₂²	1	1	yes	characteristic
155	#89425	C₂²	1	1	yes	characteristic
156	#89425	C₂²	1	1	yes	characteristic
157	#89425	C₂²	1	1	yes	characteristic
158	#89425	C₂²	1	1	yes	characteristic
159	#89425	C₂²	1	1	yes	characteristic
160	#89425	C₂²	1	1	yes	characteristic
161	#89424	C₂²	1	1	yes	characteristic
162	#89424	C₂²	1	1	yes	characteristic
163	#89424	C₂²	1	1	yes	characteristic
164	#89424	C₂²	1	1	yes	characteristic
165	#89424	C₂²	1	1	yes	characteristic
166	#89424	C₂²	1	1	yes	characteristic
167	#89423	C₂²	1	1	yes	characteristic
168	#89423	C₂²	1	1	yes	characteristic
169	#89423	C₂²	1	1	yes	characteristic
170	#89423	C₂²	1	1	yes	characteristic
171	#89423	C₂²	1	1	yes	characteristic
172	#89423	C₂²	1	1	yes	characteristic
173	#89423	C₂²	1	1	yes	characteristic
174	#89423	C₂²	1	1	yes	characteristic
175	#89423	C₂²	1	1	yes	characteristic
176	#89423	C₂²	1	1	yes	characteristic
177	#89423	C₂²	1	1	yes	characteristic
178	#89423	C₂²	1	1	yes	characteristic
179	#89422	C₂²	1	1	yes	characteristic
180	#89422	C₂²	1	1	yes	characteristic
181	#89422	C₂²	1	1	yes	characteristic
182	#89422	C₂²	1	1	yes	characteristic
183	#89421	C₂²	1	1	yes	characteristic
184	#89421	C₂²	1	1	yes	characteristic
185	#89421	C₂²	1	1	yes	characteristic
186	#89421	C₂²	1	1	yes	characteristic
187	C₂×#2524	—	7	1	no	maximal, Sylow
188	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇	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×C₄×D₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₇	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×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×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
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×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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
263	D₇×C₄⋊C₄	—	2	4	no	—
264	D₇×C₄⋊C₄	—	2	4	no	—
265	D₇×C₄⋊C₄	—	2	4	no	—
266	D₇×C₄⋊C₄	—	2	4	no	—
267	D₇×C₄⋊C₄	—	2	4	no	—
268	D₇×C₄⋊C₄	—	2	4	no	—
269	D₇×C₄⋊C₄	—	2	4	no	—
270	D₇×C₄⋊C₄	—	2	4	no	—
271	D₇×C₄⋊C₄	—	2	4	no	—
272	D₇×C₄⋊C₄	—	2	4	no	—
273	C₄²×D₇	—	2	4	no	—
274	C₄²×D₇	—	2	4	no	—
275	C₄²×D₇	—	2	4	no	—
276	C₄²×D₇	—	2	4	no	—
277	C₄²×D₇	—	2	4	no	—
278	C₇×#95	C₂³	1	1	yes	characteristic
279	C₇×#95	C₂³	1	1	yes	characteristic
280	C₇×#95	C₂³	1	1	yes	characteristic
281	C₇×#95	C₂³	1	1	yes	characteristic
282	C₇×#95	C₂³	1	1	yes	characteristic
283	C₇×#95	C₂³	1	1	yes	characteristic
284	C₇×#95	C₂³	1	1	yes	characteristic
285	C₇×#95	C₂³	1	1	yes	characteristic
286	C₇×#95	C₂³	1	1	yes	characteristic
287	C₇×#95	C₂³	1	1	yes	characteristic
288	C₇×#95	C₂³	1	1	yes	characteristic
289	C₇×#95	C₂³	1	1	yes	characteristic
290	C₇×#95	C₂³	1	1	yes	characteristic
291	C₇×#95	C₂³	1	1	yes	characteristic
292	C₇×#95	C₂³	1	1	yes	characteristic
293	C₇×#95	C₂³	1	1	yes	characteristic
294	C₇×#95	C₂³	1	1	yes	characteristic
295	C₇×#95	C₂³	1	1	yes	characteristic
296	C₇×#95	C₂³	1	1	yes	characteristic
297	C₇×#95	C₂³	1	1	yes	characteristic
298	C₇⋊#95	C₂³	1	1	yes	characteristic
299	C₇⋊#95	C₂³	1	1	yes	characteristic
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	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	#2524	—	7	1	no	—
359	#2524	—	7	1	no	—
360	#2524	—	7	1	no	—
361	#2524	—	7	1	no	—
362	#2524	—	7	1	no	—
363	#2524	—	7	1	no	—
364	#2524	—	7	1	no	—
365	#2524	—	7	1	no	—
366	#2524	—	7	1	no	—
367	#2524	—	7	1	no	—
368	#2524	—	7	1	no	—
369	#2524	—	7	1	no	—
370	#2524	—	7	1	no	—
371	#2524	—	7	1	no	—
372	#2524	—	7	1	no	—
373	#2524	D₇	1	1	yes	characteristic, direct product factor
374	C₂×#400	—	7	1	no	—
375	C₂×#400	—	7	1	no	—
376	C₂×#398	—	7	1	no	—
377	C₂×#398	—	7	1	no	—
378	C₂×#387	—	7	1	no	—
379	C₂×#387	—	7	1	no	—
380	C₂×#387	—	7	1	no	—
381	C₂×#387	—	7	1	no	—
382	C₂×#387	—	7	1	no	—
383	C₂×#387	—	7	1	no	—
384	C₂×#383	—	7	1	no	—
385	C₂×#383	—	7	1	no	—
386	C₂×#382	—	7	1	no	—
387	C₂×C₄×C₄⋊C₄	—	7	1	no	—
388	C₂×C₄×C₄⋊C₄	—	7	1	no	—
389	C₂³×D₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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×Dic₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇	—	2	2	no	—
421	C₂×C₄×D₇	—	2	2	no	—
422	C₂×C₄×D₇	—	2	2	no	—
423	C₂×C₄×D₇	—	2	2	no	—
424	C₂×C₄×D₇	—	2	2	no	—
425	C₂×C₄×D₇	—	2	2	no	—
426	C₂×C₄×D₇	—	2	2	no	—
427	C₂×C₄×D₇	—	2	2	no	—
428	C₂×C₄×D₇	—	2	2	no	—
429	C₂×C₄×D₇	—	2	2	no	—
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	—	2	2	no	—
434	C₂×C₄×D₇	—	2	2	no	—
435	C₂×C₄×D₇	—	2	2	no	—
436	C₂×C₄×D₇	—	2	2	no	—
437	C₂×C₄×D₇	—	2	2	no	—
438	C₂×C₄×D₇	—	2	2	no	—
439	C₂×C₄×D₇	—	2	2	no	—
440	C₂×C₄×D₇	—	2	2	no	—
441	C₂×C₄×D₇	—	2	2	no	—
442	C₂×C₄×D₇	—	2	2	no	—
443	C₂×C₄×D₇	—	2	2	no	—
444	C₂×C₄×D₇	—	2	2	no	—
445	C₂×C₄×D₇	—	2	2	no	—
446	C₂×C₄×D₇	—	2	2	no	—
447	C₂×C₄×D₇	—	2	2	no	—
448	C₂×C₄×D₇	—	2	2	no	—
449	C₂×C₄×D₇	—	2	2	no	—
450	C₂×C₄×D₇	—	2	2	no	—
451	C₂×C₄×D₇	—	2	2	no	—
452	C₂×C₄×D₇	—	2	2	no	—
453	C₂×C₄×D₇	—	2	2	no	—
454	C₂×C₄×D₇	—	2	2	no	—
455	C₂×C₄×D₇	—	2	2	no	—
456	C₂×C₄×D₇	—	2	2	no	—
457	C₂×C₄×D₇	—	2	2	no	—
458	C₂×C₄×D₇	—	2	2	no	—
459	C₂×C₄×D₇	—	2	2	no	—
460	C₂×C₄×D₇	#41	1	4	yes	—
461	C₂×C₄×D₇	#41	1	4	yes	—
462	C₂×C₄×D₇	#41	1	4	yes	—
463	C₂×C₄×D₇	#41	1	4	yes	—
464	C₂×C₄×D₇	#41	1	4	yes	—
465	C₇×C₄⋊C₄	—	2	2	no	—
466	C₇×C₄⋊C₄	—	2	2	no	—
467	C₇×C₄⋊C₄	—	2	2	no	—
468	C₇×C₄⋊C₄	—	2	2	no	—
469	C₇×C₄⋊C₄	—	2	2	no	—
470	C₇×C₄⋊C₄	—	2	2	no	—
471	C₇×C₄⋊C₄	—	2	2	no	—
472	C₇×C₄⋊C₄	—	2	2	no	—
473	C₇×C₄⋊C₄	—	2	2	no	—
474	C₇×C₄⋊C₄	—	2	2	no	—
475	C₄²×C₇	—	2	2	no	—
476	C₄²×C₇	—	2	2	no	—
477	C₄²×C₇	—	2	2	no	—
478	C₄²×C₇	—	2	2	no	—
479	C₄²×C₇	—	2	2	no	—
480	C₄⋊Dic₇	—	2	2	no	—
481	C₄⋊Dic₇	—	2	2	no	—
482	C₄⋊Dic₇	—	2	2	no	—
483	C₄⋊Dic₇	—	2	2	no	—
484	C₄⋊Dic₇	—	2	2	no	—
485	C₄⋊Dic₇	—	2	2	no	—
486	C₄⋊Dic₇	—	2	2	no	—
487	C₄⋊Dic₇	—	2	2	no	—
488	C₄⋊Dic₇	—	2	2	no	—
489	C₄⋊Dic₇	—	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	—	2	2	no	—
495	Dic₇⋊C₄	—	2	2	no	—
496	Dic₇⋊C₄	—	2	2	no	—
497	Dic₇⋊C₄	—	2	2	no	—
498	Dic₇⋊C₄	—	2	2	no	—
499	Dic₇⋊C₄	—	2	2	no	—
500	Dic₇⋊C₄	—	2	2	no	—
501	Dic₇⋊C₄	—	2	2	no	—
502	Dic₇⋊C₄	—	2	2	no	—
503	Dic₇⋊C₄	—	2	2	no	—
504	Dic₇⋊C₄	—	2	2	no	—
505	Dic₇⋊C₄	—	2	2	no	—
506	Dic₇⋊C₄	—	2	2	no	—
507	Dic₇⋊C₄	—	2	2	no	—
508	Dic₇⋊C₄	—	2	2	no	—
509	Dic₇⋊C₄	—	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	—	2	2	no	—
522	C₄×Dic₇	—	2	2	no	—
523	C₄×Dic₇	—	2	2	no	—
524	C₄×Dic₇	—	2	2	no	—
525	C₂²×C₄⋊C₄	—	7	1	no	—
526	C₂²×C₄⋊C₄	—	7	1	no	—
527	C₂²×C₄⋊C₄	—	7	1	no	—
528	C₂²×C₄⋊C₄	—	7	1	no	—
529	C₂²×C₄⋊C₄	—	7	1	no	—
530	C₂²×C₄⋊C₄	—	7	1	no	—
531	C₂²×C₄⋊C₄	—	7	1	no	—
532	C₂²×C₄⋊C₄	—	7	1	no	—
533	C₂²×C₄⋊C₄	—	7	1	no	—
534	C₂²×C₄⋊C₄	—	7	1	no	—
535	C₂²×C₄²	—	7	1	no	—
536	C₂²×C₄²	—	7	1	no	—
537	C₂²×C₄²	—	7	1	no	—
538	C₂²×C₄²	—	7	1	no	—
539	C₂²×C₄²	—	7	1	no	—
540	#400	—	7	1	no	—
541	#400	—	7	1	no	—
542	#400	—	7	1	no	—
543	#400	—	7	1	no	—
544	#400	—	7	1	no	—
545	#400	—	7	1	no	—
546	#400	—	7	1	no	—
547	#400	—	7	1	no	—
548	#400	—	7	1	no	—
549	#400	—	7	1	no	—
550	#400	—	7	1	no	—
551	#400	—	7	1	no	—
552	#400	—	7	1	no	—
553	#400	—	7	1	no	—
554	#400	C₂×D₇	1	1	yes	characteristic
555	#400	C₂×D₇	1	1	yes	characteristic
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	—	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	C₂×D₇	1	1	yes	characteristic
571	#398	C₂×D₇	1	1	yes	characteristic
572	#387	—	7	1	no	—
573	#387	—	7	1	no	—
574	#387	—	7	1	no	—
575	#387	—	7	1	no	—
576	#387	—	7	1	no	—
577	#387	—	7	1	no	—
578	#387	—	7	1	no	—
579	#387	—	7	1	no	—
580	#387	—	7	1	no	—
581	#387	—	7	1	no	—
582	#387	—	7	1	no	—
583	#387	—	7	1	no	—
584	#387	—	7	1	no	—
585	#387	—	7	1	no	—
586	#387	—	7	1	no	—
587	#387	—	7	1	no	—
588	#387	—	7	1	no	—
589	#387	—	7	1	no	—
590	#387	—	7	1	no	—
591	#387	—	7	1	no	—
592	#387	—	7	1	no	—
593	#387	—	7	1	no	—
594	#387	—	7	1	no	—
595	#387	—	7	1	no	—
596	#387	—	7	1	no	—
597	#387	—	7	1	no	—
598	#387	—	7	1	no	—
599	#387	—	7	1	no	—
600	#387	—	7	1	no	—
601	#387	—	7	1	no	—
602	#387	—	7	1	no	—
603	#387	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
615	#387	C₂×D₇	1	1	yes	characteristic
616	#387	C₂×D₇	1	1	yes	characteristic
617	#387	C₂×D₇	1	1	yes	characteristic
618	#387	C₂×D₇	1	1	yes	characteristic
619	#387	C₂×D₇	1	1	yes	characteristic
620	#383	—	7	1	no	—
621	#383	—	7	1	no	—
622	#383	—	7	1	no	—
623	#383	—	7	1	no	—
624	#383	—	7	1	no	—
625	#383	—	7	1	no	—
626	#383	—	7	1	no	—
627	#383	—	7	1	no	—
628	#383	—	7	1	no	—
629	#383	—	7	1	no	—
630	#383	—	7	1	no	—
631	#383	—	7	1	no	—
632	#383	—	7	1	no	—
633	#383	—	7	1	no	—
634	#383	C₂×D₇	1	1	yes	characteristic
635	#383	C₂×D₇	1	1	yes	characteristic
636	#382	—	7	1	no	—
637	#382	—	7	1	no	—
638	#382	—	7	1	no	—
639	#382	—	7	1	no	—
640	#382	—	7	1	no	—
641	#382	—	7	1	no	—
642	#382	—	7	1	no	—
643	#382	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	C₂×D₇	1	1	yes	characteristic
659	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
660	C₂×#95	—	7	1	no	—
661	C₂×#95	—	7	1	no	—
662	C₂×#95	—	7	1	no	—
663	C₂×#95	—	7	1	no	—
664	C₂×#95	—	7	1	no	—
665	C₂×#95	—	7	1	no	—
666	C₂×#95	—	7	1	no	—
667	C₂×#95	—	7	1	no	—
668	C₂×#95	—	7	1	no	—
669	C₂×#95	—	7	1	no	—
670	C₂×#95	—	7	1	no	—
671	C₂×#95	—	7	1	no	—
672	C₂×#95	—	7	1	no	—
673	C₂×#95	—	7	1	no	—
674	C₂×#95	—	7	1	no	—
675	C₂×#95	—	7	1	no	—
676	C₂×#95	—	7	1	no	—
677	C₂×#95	—	7	1	no	—
678	C₂×#95	—	7	1	no	—
679	C₂×#95	—	7	1	no	—
680	C₂³×C₇	C₂⁵	1	1	yes	characteristic
681	C₂²×D₇	C₂×#41	1	2	yes	—
682	C₂²×D₇	C₂×#41	1	2	yes	—
683	C₂²×D₇	C₂×#41	1	2	yes	—
684	C₂²×D₇	C₂×#41	1	2	yes	—
685	C₂²×D₇	C₂×#41	1	2	yes	—
686	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
687	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
688	C₂×C₄×C₇	—	2	1	no	—
689	C₂×C₄×C₇	—	2	1	no	—
690	C₂×C₄×C₇	—	2	1	no	—
691	C₂×C₄×C₇	—	2	1	no	—
692	C₂×C₄×C₇	—	2	1	no	—
693	C₂×C₄×C₇	—	2	1	no	—
694	C₂×C₄×C₇	—	2	1	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	C₂×#41	1	2	yes	—
729	C₂×C₄×C₇	C₂×#41	1	2	yes	—
730	C₂×C₄×C₇	C₂×#41	1	2	yes	—
731	C₂×C₄×C₇	C₂×#41	1	2	yes	—
732	C₂×C₄×C₇	C₂×#41	1	2	yes	—
733	C₂×Dic₇	—	2	1	no	—
734	C₂×Dic₇	—	2	1	no	—
735	C₂×Dic₇	—	2	1	no	—
736	C₂×Dic₇	—	2	1	no	—
737	C₂×Dic₇	—	2	1	no	—
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	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	C₂×#41	1	2	yes	—
774	C₂×Dic₇	C₂×#41	1	2	yes	—
775	C₂×Dic₇	C₂×#41	1	2	yes	—
776	C₂×Dic₇	C₂×#41	1	2	yes	—
777	C₂×Dic₇	C₂×#41	1	2	yes	—
778	C₄×D₇	—	2	8	no	—
779	C₄×D₇	—	2	8	no	—
780	C₄×D₇	—	2	8	no	—
781	C₄×D₇	—	2	8	no	—
782	C₄×D₇	—	2	8	no	—
783	C₄×D₇	—	4	4	no	—
784	C₄×D₇	—	4	4	no	—
785	C₄×D₇	—	4	4	no	—
786	C₄×D₇	—	4	4	no	—
787	C₄×D₇	—	4	4	no	—
788	C₄×D₇	—	4	4	no	—
789	C₄×D₇	—	4	4	no	—
790	C₄×D₇	—	4	4	no	—
791	C₄×D₇	—	4	4	no	—
792	C₄×D₇	—	4	4	no	—
793	C₂³×C₄	—	7	1	no	—
794	C₂³×C₄	—	7	1	no	—
795	C₂³×C₄	—	7	1	no	—
796	C₂³×C₄	—	7	1	no	—
797	C₂³×C₄	—	7	1	no	—
798	C₂³×C₄	—	7	1	no	—
799	C₂³×C₄	—	7	1	no	—
800	C₂³×C₄	—	7	1	no	—
801	C₂³×C₄	—	7	1	no	—
802	C₂³×C₄	—	7	1	no	—
803	C₂³×C₄	—	7	1	no	—
804	C₂³×C₄	—	7	1	no	—
805	C₂³×C₄	—	7	1	no	—
806	C₂³×C₄	—	7	1	no	—
807	C₂³×C₄	—	7	1	no	—
808	C₂×C₄⋊C₄	—	7	1	no	—
809	C₂×C₄⋊C₄	—	7	1	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	—	14	4	no	—
839	C₂×C₄⋊C₄	—	14	4	no	—
840	C₂×C₄⋊C₄	—	14	4	no	—
841	C₂×C₄⋊C₄	—	14	4	no	—
842	C₂×C₄⋊C₄	—	14	4	no	—
843	C₂×C₄⋊C₄	—	14	4	no	—
844	C₂×C₄⋊C₄	—	14	4	no	—
845	C₂×C₄⋊C₄	—	14	4	no	—
846	C₂×C₄⋊C₄	—	14	4	no	—
847	C₂×C₄⋊C₄	—	14	4	no	—
848	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×C₄²	—	7	1	no	—
859	C₂×C₄²	—	7	1	no	—
860	C₂×C₄²	—	7	1	no	—
861	C₂×C₄²	—	7	1	no	—
862	C₂×C₄²	—	7	1	no	—
863	C₂×C₄²	—	7	1	no	—
864	C₂×C₄²	—	7	1	no	—
865	C₂×C₄²	—	7	1	no	—
866	C₂×C₄²	—	7	1	no	—
867	C₂×C₄²	—	7	1	no	—
868	C₂×C₄²	—	7	1	no	—
869	C₂×C₄²	—	7	1	no	—
870	C₂×C₄²	—	7	1	no	—
871	C₂×C₄²	—	7	1	no	—
872	C₂×C₄²	—	7	1	no	—
873	C₂×C₄²	—	14	4	no	—
874	C₂×C₄²	—	14	4	no	—
875	C₂×C₄²	—	14	4	no	—
876	C₂×C₄²	—	14	4	no	—
877	C₂×C₄²	—	14	4	no	—
878	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
879	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
880	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
881	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
882	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
883	#95	—	7	1	no	—
884	#95	—	7	1	no	—
885	#95	—	7	1	no	—
886	#95	—	7	1	no	—
887	#95	—	7	1	no	—
888	#95	—	7	1	no	—
889	#95	—	7	1	no	—
890	#95	—	7	1	no	—
891	#95	—	7	1	no	—
892	#95	—	7	1	no	—
893	#95	—	7	1	no	—
894	#95	—	7	1	no	—
895	#95	—	7	1	no	—
896	#95	—	7	1	no	—
897	#95	—	7	1	no	—
898	#95	—	7	1	no	—
899	#95	—	7	1	no	—
900	#95	—	7	1	no	—
901	#95	—	7	1	no	—
902	#95	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
944	#95	C₂²×D₇	1	1	yes	characteristic
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	#95	C₂²×D₇	1	1	yes	characteristic
960	#95	C₂²×D₇	1	1	yes	characteristic
961	#95	C₂²×D₇	1	1	yes	characteristic
962	#95	C₂²×D₇	1	1	yes	characteristic
963	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
964	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
965	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
966	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
967	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
968	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
969	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
970	C₂×D₇	#529	1	4	yes	—
971	C₂×D₇	#529	1	4	yes	—
972	C₂×D₇	#541	1	4	yes	—
973	C₂×D₇	#552	1	4	yes	—
974	C₂×D₇	#552	1	4	yes	—
975	C₂×D₇	#552	1	4	yes	—
976	C₂×D₇	#556	1	4	yes	—
977	C₄×C₇	—	2	2	no	—
978	C₄×C₇	—	2	2	no	—
979	C₄×C₇	—	2	2	no	—
980	C₄×C₇	—	2	2	no	—
981	C₄×C₇	—	2	2	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	C₄×C₇	—	4	1	no	—
988	C₄×C₇	—	4	1	no	—
989	C₄×C₇	—	4	1	no	—
990	C₄×C₇	—	4	1	no	—
991	C₄×C₇	—	4	1	no	—
992	Dic₇	—	2	2	no	—
993	Dic₇	—	2	2	no	—
994	Dic₇	—	2	2	no	—
995	Dic₇	—	2	2	no	—
996	Dic₇	—	2	2	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	—	4	1	no	—
1003	Dic₇	—	4	1	no	—
1004	Dic₇	—	4	1	no	—
1005	Dic₇	—	4	1	no	—
1006	Dic₇	—	4	1	no	—
1007	C₂⁴	—	7	1	no	—
1008	C₂²×C₄	—	7	1	no	—
1009	C₂²×C₄	—	7	1	no	—
1010	C₂²×C₄	—	7	1	no	—
1011	C₂²×C₄	—	7	1	no	—
1012	C₂²×C₄	—	7	1	no	—
1013	C₂²×C₄	—	7	4	no	—
1014	C₂²×C₄	—	7	4	no	—
1015	C₂²×C₄	—	7	4	no	—
1016	C₂²×C₄	—	7	4	no	—
1017	C₂²×C₄	—	7	4	no	—
1018	C₂²×C₄	—	7	1	no	—
1019	C₂²×C₄	—	7	1	no	—
1020	C₂²×C₄	—	7	1	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	—	14	2	no	—
1029	C₂²×C₄	—	14	2	no	—
1030	C₂²×C₄	—	14	2	no	—
1031	C₂²×C₄	—	14	2	no	—
1032	C₂²×C₄	—	14	2	no	—
1033	C₂²×C₄	—	14	2	no	—
1034	C₂²×C₄	—	14	2	no	—
1035	C₂²×C₄	—	14	2	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	—	14	2	no	—
1041	C₂²×C₄	—	14	2	no	—
1042	C₂²×C₄	—	14	2	no	—
1043	C₂²×C₄	—	14	2	no	—
1044	C₂²×C₄	—	14	2	no	—
1045	C₂²×C₄	—	14	2	no	—
1046	C₂²×C₄	—	14	2	no	—
1047	C₂²×C₄	—	14	2	no	—
1048	C₂²×C₄	—	14	2	no	—
1049	C₂²×C₄	—	14	2	no	—
1050	C₂²×C₄	—	14	2	no	—
1051	C₂²×C₄	—	14	2	no	—
1052	C₂²×C₄	—	14	2	no	—
1053	C₂²×C₄	—	14	2	no	—
1054	C₂²×C₄	—	14	2	no	—
1055	C₂²×C₄	—	14	2	no	—
1056	C₂²×C₄	—	14	2	no	—
1057	C₂²×C₄	—	14	2	no	—
1058	C₂²×C₄	—	14	2	no	—
1059	C₂²×C₄	—	14	2	no	—
1060	C₂²×C₄	—	14	2	no	—
1061	C₂²×C₄	—	14	2	no	—
1062	C₂²×C₄	—	14	2	no	—
1063	C₂²×C₄	—	14	2	no	—
1064	C₂²×C₄	—	14	2	no	—
1065	C₂²×C₄	—	14	2	no	—
1066	C₂²×C₄	—	14	2	no	—
1067	C₂²×C₄	—	14	2	no	—
1068	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	14	2	no	—
1094	C₄⋊C₄	—	14	2	no	—
1095	C₄⋊C₄	—	14	2	no	—
1096	C₄⋊C₄	—	14	2	no	—
1097	C₄⋊C₄	—	14	2	no	—
1098	C₄⋊C₄	—	14	2	no	—
1099	C₄⋊C₄	—	14	2	no	—
1100	C₄⋊C₄	—	14	2	no	—
1101	C₄⋊C₄	—	14	2	no	—
1102	C₄⋊C₄	—	14	2	no	—
1103	C₄⋊C₄	—	14	2	no	—
1104	C₄⋊C₄	—	14	2	no	—
1105	C₄⋊C₄	—	14	2	no	—
1106	C₄⋊C₄	—	14	2	no	—
1107	C₄⋊C₄	—	14	2	no	—
1108	C₄⋊C₄	—	14	2	no	—
1109	C₄⋊C₄	—	14	2	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	—	14	2	no	—
1120	C₄⋊C₄	—	14	2	no	—
1121	C₄⋊C₄	—	14	2	no	—
1122	C₄⋊C₄	—	14	2	no	—
1123	C₄²	—	2	2	no	—
1124	C₄²	—	2	2	no	—
1125	C₄²	—	2	2	no	—
1126	C₄²	—	2	2	no	—
1127	C₄²	—	2	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	—	14	2	no	—
1142	C₄²	—	14	2	no	—
1143	C₂×C₇	C₂×#529	1	1	yes	characteristic
1144	C₂×C₇	C₂×#529	1	1	yes	characteristic
1145	C₂×C₇	C₂×#541	1	1	yes	characteristic
1146	C₂×C₇	C₂×#552	1	1	yes	characteristic
1147	C₂×C₇	C₂×#552	1	1	yes	characteristic
1148	C₂×C₇	C₂×#552	1	1	yes	characteristic
1149	C₂×C₇	C₂×#556	1	1	yes	characteristic
1150	D₇	#2524	1	8	yes	direct product factor
1151	C₂³	—	7	2	no	—
1152	C₂³	—	7	2	no	—
1153	C₂³	—	7	2	no	—
1154	C₂³	—	7	2	no	—
1155	C₂³	—	7	2	no	—
1156	C₂³	—	7	2	no	—
1157	C₂³	—	7	2	no	—
1158	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	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	—	7	2	no	—
1200	C₂×C₄	—	7	2	no	—
1201	C₂×C₄	—	7	2	no	—
1202	C₂×C₄	—	7	2	no	—
1203	C₂×C₄	—	7	2	no	—
1204	C₂×C₄	—	14	8	no	—
1205	C₂×C₄	—	14	8	no	—
1206	C₂×C₄	—	14	8	no	—
1207	C₂×C₄	—	14	8	no	—
1208	C₂×C₄	—	14	8	no	—
1209	C₂×C₄	—	14	1	no	—
1210	C₂×C₄	—	14	1	no	—
1211	C₂×C₄	—	14	1	no	—
1212	C₂×C₄	—	14	1	no	—
1213	C₂×C₄	—	14	1	no	—
1214	C₂×C₄	—	14	1	no	—
1215	C₂×C₄	—	14	1	no	—
1216	C₂×C₄	—	14	1	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	—	28	4	no	—
1250	C₂×C₄	—	28	4	no	—
1251	C₂×C₄	—	28	4	no	—
1252	C₂×C₄	—	28	4	no	—
1253	C₂×C₄	—	28	4	no	—
1254	C₂×C₄	—	28	4	no	—
1255	C₂×C₄	—	28	4	no	—
1256	C₂×C₄	—	28	4	no	—
1257	C₂×C₄	—	28	4	no	—
1258	C₂×C₄	—	28	4	no	—
1259	C₂×C₄	D₇×#41	1	2	yes	—
1260	C₂×C₄	D₇×#41	1	2	yes	—
1261	C₂×C₄	D₇×#41	1	2	yes	—
1262	C₂×C₄	D₇×#41	1	2	yes	—
1263	C₂×C₄	D₇×#41	1	2	yes	—
1264	C₇	C₂×#2524	1	1	yes	characteristic, complemented, Sylow
1265	C₂²	—	7	4	no	—
1266	C₂²	—	7	4	no	—
1267	C₂²	—	7	4	no	—
1268	C₂²	—	7	4	no	—
1269	C₂²	—	7	4	no	—
1270	C₂²	—	7	4	no	—
1271	C₂²	—	7	4	no	—
1272	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1273	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1274	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1275	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1276	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1277	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1278	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	2	2	no	—
1282	C₄	—	2	2	no	—
1283	C₄	—	2	2	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	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	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	C₄	—	28	1	no	—
1306	C₄	—	28	1	no	—
1307	C₄	—	28	1	no	—
1308	C₄	—	28	1	no	—
1309	C₂	—	7	8	no	—
1310	C₂	D₇×#529	1	1	yes	characteristic
1311	C₂	D₇×#529	1	1	yes	characteristic
1312	C₂	D₇×#541	1	1	yes	characteristic
1313	C₂	D₇×#552	1	1	yes	characteristic
1314	C₂	D₇×#552	1	1	yes	characteristic
1315	C₂	D₇×#552	1	1	yes	characteristic
1316	C₂	D₇×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2524	C₂
prime radical	C₂³×D₇	C₂⁴
hypercenter	#2524	D₇
hypocenter	C₇	C₂×#2524
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2524

Complements

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

N	H ≅ G/N	type
1. C₇×#2524	C₂	semidirect
4. #11735609	C₂	semidirect
5. #11735608	C₂	semidirect
8. #11735223	C₂	semidirect
9. #11735222	C₂	semidirect
16. #11732497	C₂	semidirect
17. #11732496	C₂	semidirect
18. #11732495	C₂	semidirect
19. #11732494	C₂	semidirect
20. #11732493	C₂	semidirect
21. #11732492	C₂	semidirect
24. #11731716	C₂	semidirect
25. #11731715	C₂	semidirect
27. #11731622	C₂	semidirect
30. #11731148	C₂	semidirect
31. #11731147	C₂	semidirect
373. #2524	D₇	direct (N × H)
1150. D₇	#2524	direct (N × H)
1264. C₇	C₂×#2524	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2524	2
D₇×#400	2
#11735609	2
#11735608	2
D₇×#398	2
#11735223	2
#11735222	2
D₇×#387	2
#11732497	2
#11732496	2
#11732495	2
#11732494	2
#11732493	2
#11732492	2
D₇×#383	2
#11731716	2
#11731715	2
D₇×#382	2
#11731622	2
C₄×D₇×C₄⋊C₄	2
#11731148	2
#11731147	2
C₂×#2524	7

Subgroups — D7×#2524 #13523091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₇×#2524 #13523091