Subgroups — #13568192

Order 1792.

1518 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2706	C₂	1	1	yes	maximal, characteristic
2	#11740328	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740328	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740299	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740287	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735526	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735466	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735365	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735252	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735070	C₂	1	1	yes	maximal, characteristic, complemented
11	#11734921	C₂	1	1	yes	maximal, characteristic, complemented
12	#11734841	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734787	C₂	1	1	yes	maximal, characteristic, complemented
14	#11734521	C₂	1	1	yes	maximal, characteristic, complemented
15	#11734433	C₂	1	1	yes	maximal, characteristic, complemented
16	#11734179	C₂	1	1	yes	maximal, characteristic
17	#11734139	C₂	1	1	yes	maximal, characteristic
18	#11733857	C₂	1	1	yes	maximal, characteristic, complemented
19	#11733734	C₂	1	1	yes	maximal, characteristic, complemented
20	#11733267	C₂	1	1	yes	maximal, characteristic, complemented
21	#11733202	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732288	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732277	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732215	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732115	C₂	1	1	yes	maximal, characteristic, complemented
26	#11732022	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731928	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731667	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731644	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731419	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731312	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#123	C₂²	1	1	yes	characteristic
33	C₂×C₇×#123	C₂²	1	1	yes	characteristic
34	C₂×#6498	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
36	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×#6452	C₂²	1	1	yes	characteristic
38	C₂×#6452	C₂²	1	1	yes	characteristic
39	C₂×#6440	C₂²	1	1	yes	characteristic
40	C₂×#6440	C₂²	1	1	yes	characteristic
41	C₇×#399	C₂²	1	1	yes	characteristic
42	C₇×#398	C₂²	1	1	yes	characteristic
43	C₇×#397	C₂²	1	1	yes	characteristic
44	C₇×#396	C₂²	1	1	yes	characteristic
45	C₇×#394	C₂²	1	1	yes	characteristic
46	C₇×#392	C₂²	1	1	yes	characteristic
47	C₇×#390	C₂²	1	1	yes	characteristic
48	C₇×#388	C₂²	1	1	yes	characteristic
49	C₇×#386	C₂²	1	1	yes	characteristic
50	C₇×#386	C₂²	1	1	yes	characteristic
51	C₇×#385	C₂²	1	1	yes	characteristic
52	C₇×#382	C₂²	1	1	yes	characteristic
53	C₇×#380	C₂²	1	1	yes	characteristic
54	#89994	C₂²	1	1	yes	characteristic
55	#89994	C₂²	1	1	yes	characteristic
56	#89994	C₂²	1	1	yes	characteristic
57	#89994	C₂²	1	1	yes	characteristic
58	#89993	C₂²	1	1	yes	characteristic
59	#89993	C₂²	1	1	yes	characteristic
60	#89993	C₂²	1	1	yes	characteristic
61	#89992	C₂²	1	1	yes	characteristic
62	#89992	C₂²	1	1	yes	characteristic
63	#89992	C₂²	1	1	yes	characteristic
64	#89984	C₂²	1	1	yes	characteristic
65	#89984	C₂²	1	1	yes	characteristic
66	#89983	C₂²	1	1	yes	characteristic
67	#89982	C₂²	1	1	yes	characteristic
68	#89982	C₂²	1	1	yes	characteristic
69	#89982	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
71	#89758	C₂²	1	1	yes	characteristic
72	#89758	C₂²	1	1	yes	characteristic
73	#89757	C₂²	1	1	yes	characteristic
74	#89757	C₂²	1	1	yes	characteristic
75	#89757	C₂²	1	1	yes	characteristic
76	#89756	C₂²	1	1	yes	characteristic
77	#89756	C₂²	1	1	yes	characteristic
78	#89756	C₂²	1	1	yes	characteristic
79	#89754	C₂²	1	1	yes	characteristic
80	#89754	C₂²	1	1	yes	characteristic
81	#89754	C₂²	1	1	yes	characteristic
82	#89753	C₂²	1	1	yes	characteristic
83	#89753	C₂²	1	1	yes	characteristic
84	#89752	C₂²	1	1	yes	characteristic
85	#89752	C₂²	1	1	yes	characteristic
86	#89750	C₂²	1	1	yes	characteristic
87	#89750	C₂²	1	1	yes	characteristic
88	#89750	C₂²	1	1	yes	characteristic
89	#89750	C₂²	1	1	yes	characteristic
90	#89750	C₂²	1	1	yes	characteristic
91	#89750	C₂²	1	1	yes	characteristic
92	#89748	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
94	#89745	C₂²	1	1	yes	characteristic
95	#89745	C₂²	1	1	yes	characteristic
96	#89745	C₂²	1	1	yes	characteristic
97	#89745	C₂²	1	1	yes	characteristic
98	#89744	C₂²	1	1	yes	characteristic
99	#89744	C₂²	1	1	yes	characteristic
100	#89744	C₂²	1	1	yes	characteristic
101	#89725	C₂²	1	1	yes	characteristic
102	#89725	C₂²	1	1	yes	characteristic
103	#89725	C₂²	1	1	yes	characteristic
104	#89725	C₂²	1	1	yes	characteristic
105	#89725	C₂²	1	1	yes	characteristic
106	#89725	C₂²	1	1	yes	characteristic
107	#89724	C₂²	1	1	yes	characteristic
108	#89724	C₂²	1	1	yes	characteristic
109	#89724	C₂²	1	1	yes	characteristic
110	#89723	C₂²	1	1	yes	characteristic
111	#89723	C₂²	1	1	yes	characteristic
112	#89723	C₂²	1	1	yes	characteristic
113	#89723	C₂²	1	1	yes	characteristic
114	#89723	C₂²	1	1	yes	characteristic
115	#89723	C₂²	1	1	yes	characteristic
116	#89722	C₂²	1	1	yes	characteristic
117	#89722	C₂²	1	1	yes	characteristic
118	#89721	C₂²	1	1	yes	characteristic
119	#89721	C₂²	1	1	yes	characteristic
120	#89720	C₂²	1	1	yes	characteristic
121	#89720	C₂²	1	1	yes	characteristic
122	#89720	C₂²	1	1	yes	characteristic
123	#89720	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	#89720	C₂²	1	1	yes	characteristic
129	#89718	C₂²	1	1	yes	characteristic
130	#89718	C₂²	1	1	yes	characteristic
131	#89718	C₂²	1	1	yes	characteristic
132	#89717	C₂²	1	1	yes	characteristic
133	#89717	C₂²	1	1	yes	characteristic
134	#89717	C₂²	1	1	yes	characteristic
135	#89717	C₂²	1	1	yes	characteristic
136	#89717	C₂²	1	1	yes	characteristic
137	#89717	C₂²	1	1	yes	characteristic
138	#89717	C₂²	1	1	yes	characteristic
139	#89716	C₂²	1	1	yes	characteristic
140	#89716	C₂²	1	1	yes	characteristic
141	#89716	C₂²	1	1	yes	characteristic
142	#89716	C₂²	1	1	yes	characteristic
143	#89716	C₂²	1	1	yes	characteristic
144	#89716	C₂²	1	1	yes	characteristic
145	#89715	C₂²	1	1	yes	characteristic
146	#89715	C₂²	1	1	yes	characteristic
147	#89714	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
151	#89708	C₂²	1	1	yes	characteristic
152	#89705	C₂²	1	1	yes	characteristic
153	C₄²×Dic₇	C₂²	1	1	yes	characteristic
154	#89700	C₂²	1	1	yes	characteristic
155	#89433	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	#89429	C₂²	1	1	yes	characteristic
162	#89429	C₂²	1	1	yes	characteristic
163	#89427	C₂²	1	1	yes	characteristic
164	#89427	C₂²	1	1	yes	characteristic
165	#89427	C₂²	1	1	yes	characteristic
166	#89427	C₂²	1	1	yes	characteristic
167	#89427	C₂²	1	1	yes	characteristic
168	#89427	C₂²	1	1	yes	characteristic
169	#89427	C₂²	1	1	yes	characteristic
170	#89427	C₂²	1	1	yes	characteristic
171	#89427	C₂²	1	1	yes	characteristic
172	#89426	C₂²	1	1	yes	characteristic
173	#89426	C₂²	1	1	yes	characteristic
174	#89426	C₂²	1	1	yes	characteristic
175	#89426	C₂²	1	1	yes	characteristic
176	#89426	C₂²	1	1	yes	characteristic
177	#89426	C₂²	1	1	yes	characteristic
178	#89425	C₂²	1	1	yes	characteristic
179	#89425	C₂²	1	1	yes	characteristic
180	#89424	C₂²	1	1	yes	characteristic
181	#89424	C₂²	1	1	yes	characteristic
182	#89423	C₂²	1	1	yes	characteristic
183	#89421	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89419	C₂²	1	1	yes	characteristic
186	#89419	C₂²	1	1	yes	characteristic
187	#36994	—	7	1	no	maximal, Sylow
188	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇	C₂³	1	1	yes	characteristic
196	C₇×#123	—	4	2	no	—
197	C₇×#123	—	4	2	no	—
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₂²⋊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×C₄²×C₇	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×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×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
241	#6498	—	2	4	no	—
242	D₄×Dic₇	—	2	4	no	—
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	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	—	2	4	no	—
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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₇⋊C₄	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	#6452	—	4	2	no	—
295	#6452	—	4	2	no	—
296	#6440	—	4	2	no	—
297	#6440	—	4	2	no	—
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	#2865	—	7	1	no	—
353	#2864	—	7	1	no	—
354	#2802	—	7	1	no	—
355	#2800	—	7	1	no	—
356	#2793	—	7	1	no	—
357	#2790	—	7	1	no	—
358	#2777	—	7	1	no	—
359	#2772	—	7	1	no	—
360	#2771	—	7	1	no	—
361	#2761	—	7	1	no	—
362	#2752	—	7	1	no	—
363	#2750	—	7	1	no	—
364	#2740	—	7	1	no	—
365	#2738	—	7	1	no	—
366	#2719	—	7	1	no	—
367	#2707	—	7	1	no	—
368	#2707	—	7	1	no	—
369	#2706	D₇	1	1	yes	characteristic
370	#2652	—	7	1	no	—
371	#2649	—	7	1	no	—
372	#2602	—	7	1	no	—
373	#2590	—	7	1	no	—
374	#2579	—	7	1	no	—
375	#2577	—	7	1	no	—
376	#2475	—	7	1	no	—
377	#2470	—	7	1	no	—
378	#2441	—	7	1	no	—
379	#2413	—	7	1	no	—
380	#2335	—	7	1	no	—
381	#2313	—	7	1	no	—
382	#2293	—	7	1	no	—
383	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₇×D₄	—	2	2	no	—
387	C₂×C₇×D₄	—	2	2	no	—
388	C₂×C₇×D₄	—	2	2	no	—
389	C₂×C₇×D₄	—	4	1	no	—
390	C₂×C₇×D₄	—	4	1	no	—
391	C₂×C₇×D₄	—	4	1	no	—
392	C₂×C₇×D₄	—	4	1	no	—
393	C₂×C₇×D₄	—	4	1	no	—
394	C₂×C₇×D₄	—	4	1	no	—
395	C₂²×C₄×C₇	—	2	2	no	—
396	C₂²×C₄×C₇	—	4	1	no	—
397	C₂²×C₄×C₇	—	4	1	no	—
398	C₂²×C₄×C₇	—	4	1	no	—
399	C₂²×C₄×C₇	—	4	1	no	—
400	C₂²×C₄×C₇	—	4	1	no	—
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×Dic₇	—	2	2	no	—
414	C₂²×Dic₇	—	2	2	no	—
415	C₂²×Dic₇	—	4	1	no	—
416	C₂²×Dic₇	—	4	1	no	—
417	C₂²×Dic₇	—	4	1	no	—
418	C₂²×Dic₇	—	4	1	no	—
419	C₂²×Dic₇	—	4	1	no	—
420	C₂²×Dic₇	—	4	1	no	—
421	C₂²×Dic₇	#41	1	4	yes	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	4	1	no	—
441	C₇×C₄⋊C₄	—	4	1	no	—
442	C₇×C₄⋊C₄	—	4	1	no	—
443	C₇×C₄⋊C₄	—	4	1	no	—
444	C₇×C₄⋊C₄	—	4	1	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	4	1	no	—
451	C₇×C₂²⋊C₄	—	4	1	no	—
452	C₇×C₂²⋊C₄	—	4	1	no	—
453	C₇×C₂²⋊C₄	—	4	1	no	—
454	C₇×C₂²⋊C₄	—	4	1	no	—
455	C₇×C₂²⋊C₄	—	4	1	no	—
456	C₇×C₂²⋊C₄	—	4	1	no	—
457	C₇×C₂²⋊C₄	—	4	1	no	—
458	C₇×C₂²⋊C₄	—	4	1	no	—
459	C₄²×C₇	—	2	2	no	—
460	C₂²⋊Dic₇	—	2	2	no	—
461	C₂²⋊Dic₇	—	2	2	no	—
462	C₂²⋊Dic₇	—	2	2	no	—
463	C₂²⋊Dic₇	—	2	2	no	—
464	C₂²⋊Dic₇	—	2	2	no	—
465	C₂²⋊Dic₇	—	4	1	no	—
466	C₂²⋊Dic₇	—	4	1	no	—
467	C₂²⋊Dic₇	—	4	1	no	—
468	C₂²⋊Dic₇	—	4	1	no	—
469	C₂²⋊Dic₇	—	4	1	no	—
470	C₂²⋊Dic₇	—	4	1	no	—
471	C₂²⋊Dic₇	—	4	1	no	—
472	C₂²⋊Dic₇	—	4	1	no	—
473	C₂²⋊Dic₇	—	4	1	no	—
474	C₂²⋊Dic₇	—	4	1	no	—
475	C₂²⋊Dic₇	—	4	1	no	—
476	C₂²⋊Dic₇	—	4	1	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	C₄⋊Dic₇	—	2	2	no	—
482	C₄⋊Dic₇	—	2	2	no	—
483	C₄⋊Dic₇	—	4	1	no	—
484	C₄⋊Dic₇	—	4	1	no	—
485	C₄⋊Dic₇	—	4	1	no	—
486	C₄⋊Dic₇	—	4	1	no	—
487	C₄⋊Dic₇	—	4	1	no	—
488	C₄⋊Dic₇	—	4	1	no	—
489	C₄⋊Dic₇	—	4	1	no	—
490	C₄⋊Dic₇	—	4	1	no	—
491	C₄⋊Dic₇	—	4	1	no	—
492	C₄⋊Dic₇	—	4	1	no	—
493	C₄⋊Dic₇	—	4	1	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	—	4	1	no	—
505	Dic₇⋊C₄	—	4	1	no	—
506	Dic₇⋊C₄	—	4	1	no	—
507	Dic₇⋊C₄	—	4	1	no	—
508	Dic₇⋊C₄	—	4	1	no	—
509	Dic₇⋊C₄	—	4	1	no	—
510	Dic₇⋊C₄	—	4	1	no	—
511	Dic₇⋊C₄	—	4	1	no	—
512	Dic₇⋊C₄	—	4	1	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	C₄×Dic₇	—	2	2	no	—
519	C₄×Dic₇	—	2	2	no	—
520	C₄×Dic₇	—	4	1	no	—
521	C₄×Dic₇	—	4	1	no	—
522	C₄×Dic₇	—	4	1	no	—
523	C₄×Dic₇	—	4	1	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₄×Dic₇	—	4	1	no	—
526	C₄×Dic₇	—	4	1	no	—
527	C₄×Dic₇	—	4	1	no	—
528	C₄×Dic₇	—	4	1	no	—
529	C₄×Dic₇	—	4	1	no	—
530	C₄×Dic₇	—	4	1	no	—
531	C₂×#125	—	7	1	no	—
532	C₂×#125	—	7	1	no	—
533	C₂×#123	—	7	1	no	—
534	C₂×#123	C₂×D₇	1	1	yes	characteristic
535	C₂×#123	C₂×D₇	1	1	yes	characteristic
536	C₂×C₄×D₄	—	7	1	no	—
537	C₂×#117	—	7	1	no	—
538	C₂×#117	—	7	1	no	—
539	C₂²×C₄⋊C₄	—	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	#399	—	7	1	no	—
550	#399	—	7	1	no	—
551	#399	C₂×D₇	1	1	yes	characteristic
552	#398	—	7	1	no	—
553	#398	—	7	1	no	—
554	#398	—	7	1	no	—
555	#398	—	7	1	no	—
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	C₂×D₇	1	1	yes	characteristic
562	#397	—	7	1	no	—
563	#397	—	7	1	no	—
564	#397	—	7	1	no	—
565	#397	—	7	1	no	—
566	#397	—	7	1	no	—
567	#397	—	7	1	no	—
568	#397	—	7	1	no	—
569	#397	—	7	1	no	—
570	#397	—	7	1	no	—
571	#397	C₂×D₇	1	1	yes	characteristic
572	#396	—	7	1	no	—
573	#396	—	7	1	no	—
574	#396	—	7	1	no	—
575	#396	—	7	1	no	—
576	#396	—	7	1	no	—
577	#396	—	7	1	no	—
578	#396	—	7	1	no	—
579	#396	—	7	1	no	—
580	#396	—	7	1	no	—
581	#396	C₂×D₇	1	1	yes	characteristic
582	#394	—	7	1	no	—
583	#394	—	7	1	no	—
584	#394	—	7	1	no	—
585	#394	—	7	1	no	—
586	#394	C₂×D₇	1	1	yes	characteristic
587	#392	C₂×D₇	1	1	yes	characteristic
588	#390	—	7	1	no	—
589	#390	—	7	1	no	—
590	#390	—	7	1	no	—
591	#390	C₂×D₇	1	1	yes	characteristic
592	#389	—	7	1	no	—
593	#389	—	7	1	no	—
594	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#389	—	7	1	no	—
597	#389	—	7	1	no	—
598	#389	—	7	1	no	—
599	#389	—	7	1	no	—
600	#389	—	7	1	no	—
601	#389	—	7	1	no	—
602	#389	—	7	1	no	—
603	#389	—	7	1	no	—
604	#389	—	7	1	no	—
605	#389	—	7	1	no	—
606	#388	—	7	1	no	—
607	#388	—	7	1	no	—
608	#388	—	7	1	no	—
609	#388	—	7	1	no	—
610	#388	—	7	1	no	—
611	#388	—	7	1	no	—
612	#388	—	7	1	no	—
613	#388	—	7	1	no	—
614	#388	—	7	1	no	—
615	#388	—	7	1	no	—
616	#388	—	7	1	no	—
617	#388	—	7	1	no	—
618	#388	—	7	1	no	—
619	#388	—	7	1	no	—
620	#388	—	7	1	no	—
621	#388	—	7	1	no	—
622	#388	—	7	1	no	—
623	#388	—	7	1	no	—
624	#388	—	7	1	no	—
625	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
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	#386	—	7	1	no	—
655	#386	—	7	1	no	—
656	#386	—	7	1	no	—
657	#386	C₂×D₇	1	1	yes	characteristic
658	#386	C₂×D₇	1	1	yes	characteristic
659	#385	—	7	1	no	—
660	#385	—	7	1	no	—
661	#385	—	7	1	no	—
662	#385	—	7	1	no	—
663	#385	—	7	1	no	—
664	#385	—	7	1	no	—
665	#385	—	7	1	no	—
666	#385	—	7	1	no	—
667	#385	C₂×D₇	1	1	yes	characteristic
668	#384	—	7	1	no	—
669	#383	—	7	1	no	—
670	#382	—	7	1	no	—
671	#382	C₂×D₇	1	1	yes	characteristic
672	#381	—	7	1	no	—
673	#381	—	7	1	no	—
674	#381	—	7	1	no	—
675	#380	—	7	1	no	—
676	#380	—	7	1	no	—
677	#380	—	7	1	no	—
678	#380	C₂×D₇	1	1	yes	characteristic
679	C₄×C₄⋊C₄	—	7	1	no	—
680	C₄×C₄⋊C₄	—	7	1	no	—
681	C₄×C₂²⋊C₄	—	7	1	no	—
682	C₄×C₂²⋊C₄	—	7	1	no	—
683	C₄×C₂²⋊C₄	—	7	1	no	—
684	C₄×C₂²⋊C₄	—	7	1	no	—
685	C₄³	—	7	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	—	2	1	no	—
689	C₂³×C₇	—	2	1	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	—	2	1	no	—
693	C₂³×C₇	—	2	1	no	—
694	C₂³×C₇	—	2	1	no	—
695	C₂³×C₇	—	2	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	—	2	1	no	—
703	C₂³×C₇	—	2	1	no	—
704	C₂³×C₇	—	2	1	no	—
705	C₂³×C₇	—	2	1	no	—
706	C₂³×C₇	C₂×#41	1	2	yes	—
707	C₂³×C₇	C₂⁵	1	1	yes	characteristic
708	C₇×D₄	—	4	4	no	—
709	C₇×D₄	—	8	2	no	—
710	C₇×D₄	—	8	2	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	—	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	—	8	2	no	—
746	C₂×C₄×C₇	—	8	2	no	—
747	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
748	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
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	—	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	—	4	4	no	—
796	C₂×Dic₇	—	4	4	no	—
797	C₂×Dic₇	—	4	4	no	—
798	C₂×Dic₇	C₂×#41	1	2	yes	—
799	C₂×Dic₇	C₂×#41	1	2	yes	—
800	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
801	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
802	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
803	C₂³×C₄	—	7	1	no	—
804	C₂³×C₄	—	7	1	no	—
805	C₂³×C₄	—	7	1	no	—
806	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
807	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
808	#125	—	28	2	no	—
809	#125	—	28	2	no	—
810	#123	—	4	2	no	—
811	#123	—	4	2	no	—
812	#123	—	14	4	no	—
813	C₄×D₄	—	14	4	no	—
814	#117	—	28	2	no	—
815	#117	—	28	2	no	—
816	C₂×C₄⋊C₄	—	7	1	no	—
817	C₂×C₄⋊C₄	—	7	1	no	—
818	C₂×C₄⋊C₄	—	7	1	no	—
819	C₂×C₄⋊C₄	—	7	1	no	—
820	C₂×C₄⋊C₄	—	7	1	no	—
821	C₂×C₄⋊C₄	—	7	1	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	—	7	1	no	—
849	C₂×C₄⋊C₄	—	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	—	14	4	no	—
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×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	—	7	1	no	—
863	C₂×C₂²⋊C₄	—	7	1	no	—
864	C₂×C₂²⋊C₄	—	7	1	no	—
865	C₂×C₂²⋊C₄	—	7	1	no	—
866	C₂×C₂²⋊C₄	—	7	1	no	—
867	C₂×C₂²⋊C₄	—	7	1	no	—
868	C₂×C₂²⋊C₄	—	7	1	no	—
869	C₂×C₂²⋊C₄	—	7	1	no	—
870	C₂×C₂²⋊C₄	—	7	1	no	—
871	C₂×C₂²⋊C₄	—	7	1	no	—
872	C₂×C₂²⋊C₄	—	7	1	no	—
873	C₂×C₂²⋊C₄	—	7	1	no	—
874	C₂×C₂²⋊C₄	—	7	1	no	—
875	C₂×C₂²⋊C₄	—	7	1	no	—
876	C₂×C₂²⋊C₄	—	7	1	no	—
877	C₂×C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
910	#95	—	7	1	no	—
911	#95	—	7	1	no	—
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	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	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	#95	C₂²×D₇	1	1	yes	characteristic
964	C₂²×C₇	—	2	2	no	—
965	C₂²×C₇	—	2	2	no	—
966	C₂²×C₇	—	2	2	no	—
967	C₂²×C₇	—	4	1	no	—
968	C₂²×C₇	—	4	1	no	—
969	C₂²×C₇	—	4	1	no	—
970	C₂²×C₇	—	4	1	no	—
971	C₂²×C₇	—	4	1	no	—
972	C₂²×C₇	—	4	1	no	—
973	C₂²×C₇	—	4	1	no	—
974	C₂²×C₇	—	4	1	no	—
975	C₂²×C₇	—	4	1	no	—
976	C₂²×C₇	—	4	1	no	—
977	C₂²×C₇	—	4	1	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	—	4	1	no	—
983	C₂²×C₇	—	4	1	no	—
984	C₂²×C₇	—	4	1	no	—
985	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
986	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
987	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
988	C₂²×C₇	#585	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	C₄×C₇	—	2	2	no	—
993	C₄×C₇	—	2	2	no	—
994	C₄×C₇	—	4	1	no	—
995	C₄×C₇	—	4	1	no	—
996	C₄×C₇	—	4	1	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	C₄×C₇	—	4	1	no	—
1004	Dic₇	—	2	2	no	—
1005	Dic₇	—	2	2	no	—
1006	Dic₇	—	4	1	no	—
1007	Dic₇	—	4	1	no	—
1008	Dic₇	—	4	1	no	—
1009	Dic₇	—	4	1	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	—	4	1	no	—
1019	Dic₇	—	4	1	no	—
1020	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1021	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1022	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	4	1	no	—
1027	C₂×D₄	—	4	1	no	—
1028	C₂×D₄	—	4	1	no	—
1029	C₂×D₄	—	4	1	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	4	1	no	—
1034	C₂²×C₄	—	4	1	no	—
1035	C₂²×C₄	—	4	1	no	—
1036	C₂²×C₄	—	4	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	7	1	no	—
1039	C₂²×C₄	—	7	1	no	—
1040	C₂²×C₄	—	7	4	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	—	7	1	no	—
1047	C₂²×C₄	—	7	1	no	—
1048	C₂²×C₄	—	7	1	no	—
1049	C₂²×C₄	—	7	1	no	—
1050	C₂²×C₄	—	7	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	—	14	2	no	—
1056	C₂²×C₄	—	14	2	no	—
1057	C₂²×C₄	—	28	1	no	—
1058	C₂²×C₄	—	28	1	no	—
1059	C₂²×C₄	—	28	1	no	—
1060	C₂²×C₄	—	28	1	no	—
1061	C₂²×C₄	—	28	1	no	—
1062	C₂²×C₄	—	28	1	no	—
1063	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	14	2	no	—
1084	C₄⋊C₄	—	14	2	no	—
1085	C₄⋊C₄	—	14	2	no	—
1086	C₄⋊C₄	—	14	2	no	—
1087	C₄⋊C₄	—	14	2	no	—
1088	C₄⋊C₄	—	14	2	no	—
1089	C₄⋊C₄	—	14	2	no	—
1090	C₄⋊C₄	—	14	2	no	—
1091	C₄⋊C₄	—	14	2	no	—
1092	C₄⋊C₄	—	14	2	no	—
1093	C₄⋊C₄	—	14	2	no	—
1094	C₄⋊C₄	—	14	2	no	—
1095	C₄⋊C₄	—	28	1	no	—
1096	C₄⋊C₄	—	28	1	no	—
1097	C₄⋊C₄	—	28	1	no	—
1098	C₄⋊C₄	—	28	1	no	—
1099	C₄⋊C₄	—	28	1	no	—
1100	C₄⋊C₄	—	28	1	no	—
1101	C₄⋊C₄	—	28	1	no	—
1102	C₄⋊C₄	—	28	1	no	—
1103	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	—	28	1	no	—
1117	C₄⋊C₄	—	28	1	no	—
1118	C₄⋊C₄	—	28	1	no	—
1119	C₄⋊C₄	—	28	1	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	14	2	no	—
1134	C₂²⋊C₄	—	14	2	no	—
1135	C₂²⋊C₄	—	14	2	no	—
1136	C₂²⋊C₄	—	14	2	no	—
1137	C₂²⋊C₄	—	14	2	no	—
1138	C₂²⋊C₄	—	28	1	no	—
1139	C₂²⋊C₄	—	28	1	no	—
1140	C₂²⋊C₄	—	28	1	no	—
1141	C₂²⋊C₄	—	28	1	no	—
1142	C₂²⋊C₄	—	28	1	no	—
1143	C₂²⋊C₄	—	28	1	no	—
1144	C₂²⋊C₄	—	28	1	no	—
1145	C₂²⋊C₄	—	28	1	no	—
1146	C₂²⋊C₄	—	28	1	no	—
1147	C₂²⋊C₄	—	28	1	no	—
1148	C₂²⋊C₄	—	28	1	no	—
1149	C₂²⋊C₄	—	28	1	no	—
1150	C₂²⋊C₄	—	28	1	no	—
1151	C₂²⋊C₄	—	28	1	no	—
1152	C₂²⋊C₄	—	28	1	no	—
1153	C₂²⋊C₄	—	28	1	no	—
1154	C₄²	—	2	2	no	—
1155	C₄²	—	14	2	no	—
1156	C₄²	—	14	2	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	—	28	1	no	—
1163	C₄²	—	28	1	no	—
1164	C₄²	—	28	1	no	—
1165	C₄²	—	28	1	no	—
1166	C₄²	—	28	1	no	—
1167	C₄²	—	28	1	no	—
1168	C₂×C₇	—	4	2	no	—
1169	C₂×C₇	—	8	1	no	—
1170	C₂×C₇	—	8	1	no	—
1171	C₂×C₇	#3455	1	1	yes	characteristic
1172	C₂×C₇	#3495	1	1	yes	characteristic
1173	C₂×C₇	#3505	1	1	yes	characteristic
1174	C₂×C₇	#3557	1	1	yes	characteristic
1175	C₂×C₇	#3559	1	1	yes	characteristic
1176	C₂×C₇	#3562	1	1	yes	characteristic
1177	C₂×C₇	#3567	1	1	yes	characteristic
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	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	—	2	1	no	—
1198	C₂³	D₇×#41	1	2	yes	—
1199	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1200	D₄	—	4	4	no	—
1201	D₄	—	8	2	no	—
1202	D₄	—	8	2	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	—	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	—	7	2	no	—
1238	C₂×C₄	—	7	2	no	—
1239	C₂×C₄	—	8	2	no	—
1240	C₂×C₄	—	8	2	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	—	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	—	28	4	no	—
1288	C₂×C₄	—	28	4	no	—
1289	C₂×C₄	—	28	4	no	—
1290	C₂×C₄	#6548	1	2	yes	—
1291	C₂×C₄	#6554	1	2	yes	—
1292	C₇	#36994	1	1	yes	characteristic, complemented, Sylow
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	C₂×#6548	1	1	yes	characteristic
1315	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1316	C₂²	C₂×#6554	1	1	yes	characteristic
1317	C₂²	#90618	1	1	yes	characteristic
1318	C₂²	#90618	1	1	yes	characteristic
1319	C₂²	#90618	1	1	yes	characteristic
1320	C₂²	#90620	1	1	yes	characteristic
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	14	2	no	—
1334	C₄	—	14	2	no	—
1335	C₄	—	28	1	no	—
1336	C₄	—	28	1	no	—
1337	C₄	—	28	1	no	—
1338	C₄	—	28	1	no	—
1339	C₄	—	28	1	no	—
1340	C₄	—	28	1	no	—
1341	C₄	—	28	1	no	—
1342	C₄	—	28	1	no	—
1343	C₄	—	28	1	no	—
1344	C₄	—	28	1	no	—
1345	C₄	—	28	1	no	—
1346	C₄	—	28	1	no	—
1347	C₄	—	28	1	no	—
1348	C₄	—	28	1	no	—
1349	C₂	—	4	2	no	—
1350	C₂	—	8	1	no	—
1351	C₂	—	8	1	no	—
1352	C₂	#11743396	1	1	yes	characteristic
1353	C₂	#11743495	1	1	yes	characteristic
1354	C₂	#11743547	1	1	yes	characteristic
1355	C₂	#11743734	1	1	yes	characteristic
1356	C₂	#11743764	1	1	yes	characteristic
1357	C₂	#11743861	1	1	yes	characteristic
1358	C₂	#11744174	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2706	C₂
prime radical	C₇×#392	C₂²
hypercenter	#2706	D₇
hypocenter	C₇	#36994
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2706

Complements

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

N	H ≅ G/N	type
2. #11740328	C₂	semidirect
3. #11740328	C₂	semidirect
4. #11740299	C₂	semidirect
5. #11740287	C₂	semidirect
6. #11735526	C₂	semidirect
7. #11735466	C₂	semidirect
8. #11735365	C₂	semidirect
9. #11735252	C₂	semidirect
10. #11735070	C₂	semidirect
11. #11734921	C₂	semidirect
12. #11734841	C₂	semidirect
13. #11734787	C₂	semidirect
14. #11734521	C₂	semidirect
15. #11734433	C₂	semidirect
18. #11733857	C₂	semidirect
19. #11733734	C₂	semidirect
20. #11733267	C₂	semidirect
21. #11733202	C₂	semidirect
22. #11732288	C₂	semidirect
23. #11732277	C₂	semidirect
24. #11732215	C₂	semidirect
25. #11732115	C₂	semidirect
26. #11732022	C₂	semidirect
27. #11731928	C₂	semidirect
28. #11731667	C₂	semidirect
29. #11731644	C₂	semidirect
30. #11731419	C₂	semidirect
31. #11731312	C₂	semidirect
1292. C₇	#36994	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2706	2
#11740328	2
#11740299	2
#11740287	2
#11735526	2
#11735466	2
#11735365	2
#11735252	2
#11735070	2
#11734921	2
#11734841	2
#11734787	2
#11734521	2
#11734433	2
#11734179	2
#11734139	2
#11733857	2
#11733734	2
#11733267	2
#11733202	2
#11732288	2
#11732277	2
#11732215	2
#11732115	2
#11732022	2
#11731928	2
#11731667	2
#11731644	2
#11731419	2
#11731312	2
#36994	7