Subgroups — #13520766

Order 1792.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2637	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740558	C₂	1	1	yes	maximal, characteristic
3	Dic₇×#126	C₂	1	1	yes	maximal, characteristic, complemented
4	#11739948	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×Q₈×Dic₇	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735287	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735277	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735273	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735185	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735184	C₂	1	1	yes	maximal, characteristic, complemented
11	#11735183	C₂	1	1	yes	maximal, characteristic, complemented
12	#11735001	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734904	C₂	1	1	yes	maximal, characteristic, complemented
14	#11734789	C₂	1	1	yes	maximal, characteristic
15	#11734785	C₂	1	1	yes	maximal, characteristic, complemented
16	#11734727	C₂	1	1	yes	maximal, characteristic, complemented
17	#11734726	C₂	1	1	yes	maximal, characteristic
18	#11734650	C₂	1	1	yes	maximal, characteristic, complemented
19	#11734615	C₂	1	1	yes	maximal, characteristic, complemented
20	#11734257	C₂	1	1	yes	maximal, characteristic, complemented
21	#11734224	C₂	1	1	yes	maximal, characteristic, complemented
22	#11733352	C₂	1	1	yes	maximal, characteristic, complemented
23	#11733102	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732899	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732895	C₂	1	1	yes	maximal, characteristic, complemented
26	#11732827	C₂	1	1	yes	maximal, characteristic, complemented
27	#11732583	C₂	1	1	yes	maximal, characteristic, complemented
28	#11732387	C₂	1	1	yes	maximal, characteristic, complemented
29	#11732384	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731642	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731594	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
34	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic
36	C₂×#6461	C₂²	1	1	yes	characteristic
37	C₂×#6456	C₂²	1	1	yes	characteristic
38	C₂×#6455	C₂²	1	1	yes	characteristic
39	C₂×#6455	C₂²	1	1	yes	characteristic
40	C₂×#6450	C₂²	1	1	yes	characteristic
41	C₂×#6450	C₂²	1	1	yes	characteristic
42	C₂×#6448	C₂²	1	1	yes	characteristic
43	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×#6440	C₂²	1	1	yes	characteristic
46	C₂×#6438	C₂²	1	1	yes	characteristic
47	C₇×#398	C₂²	1	1	yes	characteristic
48	C₇×#398	C₂²	1	1	yes	characteristic
49	C₇×#398	C₂²	1	1	yes	characteristic
50	C₇×#397	C₂²	1	1	yes	characteristic
51	C₇×#396	C₂²	1	1	yes	characteristic
52	C₇×#396	C₂²	1	1	yes	characteristic
53	C₇×#395	C₂²	1	1	yes	characteristic
54	C₇×#393	C₂²	1	1	yes	characteristic
55	C₇×#388	C₂²	1	1	yes	characteristic
56	C₇×#388	C₂²	1	1	yes	characteristic
57	C₇×#387	C₂²	1	1	yes	characteristic
58	C₇×#387	C₂²	1	1	yes	characteristic
59	C₇×#382	C₂²	1	1	yes	characteristic
60	#90003	C₂²	1	1	yes	characteristic
61	#90003	C₂²	1	1	yes	characteristic
62	#89766	C₂²	1	1	yes	characteristic
63	#89766	C₂²	1	1	yes	characteristic
64	#89766	C₂²	1	1	yes	characteristic
65	#89766	C₂²	1	1	yes	characteristic
66	#89766	C₂²	1	1	yes	characteristic
67	#89765	C₂²	1	1	yes	characteristic
68	#89764	C₂²	1	1	yes	characteristic
69	#89764	C₂²	1	1	yes	characteristic
70	#89763	C₂²	1	1	yes	characteristic
71	#89763	C₂²	1	1	yes	characteristic
72	#89763	C₂²	1	1	yes	characteristic
73	#89762	C₂²	1	1	yes	characteristic
74	#89762	C₂²	1	1	yes	characteristic
75	#89762	C₂²	1	1	yes	characteristic
76	#89760	C₂²	1	1	yes	characteristic
77	#89758	C₂²	1	1	yes	characteristic
78	#89758	C₂²	1	1	yes	characteristic
79	#89756	C₂²	1	1	yes	characteristic
80	#89756	C₂²	1	1	yes	characteristic
81	#89756	C₂²	1	1	yes	characteristic
82	#89755	C₂²	1	1	yes	characteristic
83	#89753	C₂²	1	1	yes	characteristic
84	#89753	C₂²	1	1	yes	characteristic
85	#89753	C₂²	1	1	yes	characteristic
86	#89753	C₂²	1	1	yes	characteristic
87	#89752	C₂²	1	1	yes	characteristic
88	#89751	C₂²	1	1	yes	characteristic
89	#89751	C₂²	1	1	yes	characteristic
90	#89751	C₂²	1	1	yes	characteristic
91	#89751	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
94	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
100	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
101	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
102	#89746	C₂²	1	1	yes	characteristic
103	#89744	C₂²	1	1	yes	characteristic
104	#89733	C₂²	1	1	yes	characteristic
105	#89733	C₂²	1	1	yes	characteristic
106	#89733	C₂²	1	1	yes	characteristic
107	#89733	C₂²	1	1	yes	characteristic
108	#89733	C₂²	1	1	yes	characteristic
109	#89732	C₂²	1	1	yes	characteristic
110	#89731	C₂²	1	1	yes	characteristic
111	#89729	C₂²	1	1	yes	characteristic
112	#89729	C₂²	1	1	yes	characteristic
113	#89729	C₂²	1	1	yes	characteristic
114	#89725	C₂²	1	1	yes	characteristic
115	#89724	C₂²	1	1	yes	characteristic
116	#89723	C₂²	1	1	yes	characteristic
117	#89723	C₂²	1	1	yes	characteristic
118	#89723	C₂²	1	1	yes	characteristic
119	#89723	C₂²	1	1	yes	characteristic
120	#89721	C₂²	1	1	yes	characteristic
121	#89720	C₂²	1	1	yes	characteristic
122	#89719	C₂²	1	1	yes	characteristic
123	#89717	C₂²	1	1	yes	characteristic
124	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
125	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
128	#89712	C₂²	1	1	yes	characteristic
129	#89712	C₂²	1	1	yes	characteristic
130	#89712	C₂²	1	1	yes	characteristic
131	#89712	C₂²	1	1	yes	characteristic
132	#89709	C₂²	1	1	yes	characteristic
133	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
134	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
135	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
136	C₄²×Dic₇	C₂²	1	1	yes	characteristic
137	C₄²×Dic₇	C₂²	1	1	yes	characteristic
138	C₄²×Dic₇	C₂²	1	1	yes	characteristic
139	#89449	C₂²	1	1	yes	characteristic
140	#89449	C₂²	1	1	yes	characteristic
141	#89447	C₂²	1	1	yes	characteristic
142	#89447	C₂²	1	1	yes	characteristic
143	#89446	C₂²	1	1	yes	characteristic
144	#89446	C₂²	1	1	yes	characteristic
145	#89446	C₂²	1	1	yes	characteristic
146	#89445	C₂²	1	1	yes	characteristic
147	#89442	C₂²	1	1	yes	characteristic
148	#89442	C₂²	1	1	yes	characteristic
149	#89441	C₂²	1	1	yes	characteristic
150	#89441	C₂²	1	1	yes	characteristic
151	#89441	C₂²	1	1	yes	characteristic
152	#89441	C₂²	1	1	yes	characteristic
153	#89441	C₂²	1	1	yes	characteristic
154	#89441	C₂²	1	1	yes	characteristic
155	#89438	C₂²	1	1	yes	characteristic
156	#89438	C₂²	1	1	yes	characteristic
157	#89438	C₂²	1	1	yes	characteristic
158	#89438	C₂²	1	1	yes	characteristic
159	#89438	C₂²	1	1	yes	characteristic
160	#89438	C₂²	1	1	yes	characteristic
161	#89438	C₂²	1	1	yes	characteristic
162	#89438	C₂²	1	1	yes	characteristic
163	#89433	C₂²	1	1	yes	characteristic
164	#89433	C₂²	1	1	yes	characteristic
165	#89432	C₂²	1	1	yes	characteristic
166	#89432	C₂²	1	1	yes	characteristic
167	#89432	C₂²	1	1	yes	characteristic
168	#89430	C₂²	1	1	yes	characteristic
169	#89430	C₂²	1	1	yes	characteristic
170	#89429	C₂²	1	1	yes	characteristic
171	#89429	C₂²	1	1	yes	characteristic
172	#89429	C₂²	1	1	yes	characteristic
173	#89428	C₂²	1	1	yes	characteristic
174	#89428	C₂²	1	1	yes	characteristic
175	#89427	C₂²	1	1	yes	characteristic
176	#89426	C₂²	1	1	yes	characteristic
177	#89425	C₂²	1	1	yes	characteristic
178	#89425	C₂²	1	1	yes	characteristic
179	#89423	C₂²	1	1	yes	characteristic
180	#89422	C₂²	1	1	yes	characteristic
181	#89421	C₂²	1	1	yes	characteristic
182	#89421	C₂²	1	1	yes	characteristic
183	#89421	C₂²	1	1	yes	characteristic
184	#89420	C₂²	1	1	yes	characteristic
185	#89419	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#34603	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂²×D₂₈	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
197	C₇×#126	—	2	4	no	—
198	C₄×C₇×Q₈	—	2	4	no	—
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×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×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×C₄²×C₇	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇	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	Q₈×Dic₇	—	2	4	no	—
227	Q₈×Dic₇	—	2	4	no	—
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₇)⋊C₄	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	C₂×C₄⋊Dic₇	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×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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
299	#6461	—	2	4	no	—
300	#6456	—	4	2	no	—
301	#6455	—	2	4	no	—
302	#6455	—	4	2	no	—
303	#6450	—	4	2	no	—
304	#6450	—	4	2	no	—
305	#6448	—	2	4	no	—
306	(C₂²⋊D₇)⋊C₄	—	2	4	no	—
307	(C₂²⋊D₇)⋊C₄	—	4	2	no	—
308	#6440	—	4	2	no	—
309	#6438	—	2	4	no	—
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	#2666	—	7	1	no	—
359	#2666	—	7	1	no	—
360	#2662	—	7	1	no	—
361	#2662	—	7	1	no	—
362	#2654	—	7	1	no	—
363	#2654	—	7	1	no	—
364	#2651	—	7	1	no	—
365	#2651	—	7	1	no	—
366	#2651	—	7	1	no	—
367	#2651	—	7	1	no	—
368	#2650	—	7	1	no	—
369	#2650	—	7	1	no	—
370	#2637	—	7	1	no	—
371	#2637	D₇	1	1	yes	characteristic, complemented
372	#2632	—	7	1	no	—
373	#2632	—	7	1	no	—
374	#2399	—	7	1	no	—
375	#2398	—	7	1	no	—
376	#2396	—	7	1	no	—
377	#2396	—	7	1	no	—
378	#2396	—	7	1	no	—
379	#2395	—	7	1	no	—
380	#2395	—	7	1	no	—
381	#2392	—	7	1	no	—
382	C₄×#126	—	7	1	no	—
383	C₄×#126	—	7	1	no	—
384	C₄×#124	—	7	1	no	—
385	C₄×#124	—	7	1	no	—
386	#2298	—	7	1	no	—
387	#2293	—	7	1	no	—
388	C₄²×Q₈	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂³×D₇	C₂⁴	1	1	yes	characteristic
391	C₂³×D₇	C₂⁴	1	1	yes	characteristic
392	C₂×C₇×Q₈	—	2	2	no	—
393	C₂×C₇×Q₈	—	2	2	no	—
394	C₂×C₇×Q₈	—	2	2	no	—
395	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂×C₂²⋊D₇	—	2	2	no	—
410	C₂×C₂²⋊D₇	—	2	2	no	—
411	C₂×C₂²⋊D₇	—	4	1	no	—
412	C₂×C₂²⋊D₇	—	4	1	no	—
413	C₂×C₂²⋊D₇	—	4	1	no	—
414	C₂×C₂²⋊D₇	—	4	1	no	—
415	C₂²×Dic₇	—	2	2	no	—
416	C₂²×Dic₇	—	2	2	no	—
417	C₂²×Dic₇	—	2	2	no	—
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂×D₂₈	—	2	2	no	—
433	C₂×D₂₈	—	4	1	no	—
434	C₂×D₂₈	—	4	1	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×Dic₁₄	—	2	2	no	—
442	C₂×Dic₁₄	—	2	2	no	—
443	C₂×Dic₁₄	—	4	1	no	—
444	C₂×Dic₁₄	—	4	1	no	—
445	C₂×Dic₁₄	—	4	1	no	—
446	C₂×Dic₁₄	—	4	1	no	—
447	C₇×C₄⋊C₄	—	2	2	no	—
448	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	2	no	—
450	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	2	2	no	—
452	C₇×C₄⋊C₄	—	2	2	no	—
453	C₇×C₄⋊C₄	—	2	2	no	—
454	C₇×C₄⋊C₄	—	2	2	no	—
455	C₇×C₄⋊C₄	—	4	1	no	—
456	C₇×C₄⋊C₄	—	4	1	no	—
457	C₇×C₄⋊C₄	—	4	1	no	—
458	C₇×C₄⋊C₄	—	4	1	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	2	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	2	2	no	—
464	C₇×C₂²⋊C₄	—	4	1	no	—
465	C₇×C₂²⋊C₄	—	4	1	no	—
466	C₄²×C₇	—	2	2	no	—
467	C₄²×C₇	—	2	2	no	—
468	C₄²×C₇	#41	1	4	yes	—
469	C₂²⋊Dic₇	—	2	2	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	(C₂×D₇)⋊C₄	—	2	2	no	—
475	(C₂×D₇)⋊C₄	—	2	2	no	—
476	(C₂×D₇)⋊C₄	—	2	2	no	—
477	(C₂×D₇)⋊C₄	—	2	2	no	—
478	(C₂×D₇)⋊C₄	—	2	2	no	—
479	(C₂×D₇)⋊C₄	—	2	2	no	—
480	(C₂×D₇)⋊C₄	—	2	2	no	—
481	(C₂×D₇)⋊C₄	—	2	2	no	—
482	(C₂×D₇)⋊C₄	—	2	2	no	—
483	(C₂×D₇)⋊C₄	—	2	2	no	—
484	(C₂×D₇)⋊C₄	—	2	2	no	—
485	(C₂×D₇)⋊C₄	—	2	2	no	—
486	(C₂×D₇)⋊C₄	—	4	1	no	—
487	(C₂×D₇)⋊C₄	—	4	1	no	—
488	(C₂×D₇)⋊C₄	—	4	1	no	—
489	(C₂×D₇)⋊C₄	—	4	1	no	—
490	(C₂×D₇)⋊C₄	—	4	1	no	—
491	(C₂×D₇)⋊C₄	—	4	1	no	—
492	(C₂×D₇)⋊C₄	—	4	1	no	—
493	(C₂×D₇)⋊C₄	—	4	1	no	—
494	(C₂×D₇)⋊C₄	—	4	1	no	—
495	(C₂×D₇)⋊C₄	—	4	1	no	—
496	(C₂×D₇)⋊C₄	—	4	1	no	—
497	(C₂×D₇)⋊C₄	—	4	1	no	—
498	C₄⋊Dic₇	—	2	2	no	—
499	C₄⋊Dic₇	—	2	2	no	—
500	C₄⋊Dic₇	—	2	2	no	—
501	C₄⋊Dic₇	—	2	2	no	—
502	C₄⋊Dic₇	—	2	2	no	—
503	C₄⋊Dic₇	—	2	2	no	—
504	C₄⋊Dic₇	—	2	2	no	—
505	C₄⋊Dic₇	—	2	2	no	—
506	C₄⋊Dic₇	—	4	1	no	—
507	C₄⋊Dic₇	—	4	1	no	—
508	C₄⋊Dic₇	—	4	1	no	—
509	C₄⋊Dic₇	—	4	1	no	—
510	Dic₇⋊C₄	—	2	2	no	—
511	Dic₇⋊C₄	—	2	2	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	Dic₇⋊C₄	—	4	1	no	—
519	Dic₇⋊C₄	—	4	1	no	—
520	Dic₇⋊C₄	—	4	1	no	—
521	Dic₇⋊C₄	—	4	1	no	—
522	Dic₇⋊C₄	—	4	1	no	—
523	Dic₇⋊C₄	—	4	1	no	—
524	C₄×Dic₇	—	2	2	no	—
525	C₄×Dic₇	—	2	2	no	—
526	C₄×Dic₇	—	2	2	no	—
527	C₄×Dic₇	—	2	2	no	—
528	C₄×Dic₇	—	2	2	no	—
529	C₄×Dic₇	—	2	2	no	—
530	C₄×Dic₇	—	2	2	no	—
531	C₄×Dic₇	—	2	2	no	—
532	C₄×Dic₇	—	2	2	no	—
533	C₄×Dic₇	—	2	2	no	—
534	C₄×Dic₇	—	2	2	no	—
535	C₄×Dic₇	—	2	2	no	—
536	C₄×Dic₇	—	2	2	no	—
537	C₄×Dic₇	—	4	1	no	—
538	C₄×Dic₇	—	4	1	no	—
539	C₄×Dic₇	—	4	1	no	—
540	C₄×Dic₇	—	4	1	no	—
541	C₄×Dic₇	—	4	1	no	—
542	C₄×Dic₇	—	4	1	no	—
543	C₄×Dic₇	#41	1	4	yes	—
544	C₄×Dic₇	#41	1	4	yes	—
545	C₂×#126	—	7	1	no	—
546	C₂×#126	C₂×D₇	1	1	yes	characteristic
547	C₂×#124	—	7	1	no	—
548	C₂×#124	—	7	1	no	—
549	C₂×C₄×Q₈	—	7	1	no	—
550	C₂×C₄×Q₈	—	7	1	no	—
551	C₂×C₄×Q₈	—	7	1	no	—
552	C₂×C₄×Q₈	—	7	1	no	—
553	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
554	C₂×C₄×D₄	—	7	1	no	—
555	C₂×C₄×D₄	—	7	1	no	—
556	C₂×C₄×D₄	—	7	1	no	—
557	C₂×#117	—	7	1	no	—
558	C₂×#117	—	7	1	no	—
559	C₂×#117	—	7	1	no	—
560	#400	—	7	1	no	—
561	#400	—	7	1	no	—
562	#400	—	7	1	no	—
563	#400	—	7	1	no	—
564	#400	—	7	1	no	—
565	#400	—	7	1	no	—
566	#400	—	7	1	no	—
567	#399	—	7	1	no	—
568	#399	—	7	1	no	—
569	#399	—	7	1	no	—
570	#399	—	7	1	no	—
571	#399	—	7	1	no	—
572	#398	—	7	1	no	—
573	#398	—	7	1	no	—
574	#398	—	7	1	no	—
575	#398	—	7	1	no	—
576	#398	—	7	1	no	—
577	#398	—	7	1	no	—
578	#398	—	7	1	no	—
579	#398	—	7	1	no	—
580	#398	—	7	1	no	—
581	#398	—	7	1	no	—
582	#398	C₂×D₇	1	1	yes	characteristic
583	#398	C₂×D₇	1	1	yes	characteristic
584	#398	C₂×D₇	1	1	yes	characteristic
585	#397	—	7	1	no	—
586	#397	—	7	1	no	—
587	#397	—	7	1	no	—
588	#397	—	7	1	no	—
589	#397	—	7	1	no	—
590	#397	—	7	1	no	—
591	#397	—	7	1	no	—
592	#397	—	7	1	no	—
593	#397	C₂×D₇	1	1	yes	characteristic
594	#396	—	7	1	no	—
595	#396	—	7	1	no	—
596	#396	—	7	1	no	—
597	#396	—	7	1	no	—
598	#396	—	7	1	no	—
599	#396	—	7	1	no	—
600	#396	C₂×D₇	1	1	yes	characteristic
601	#396	C₂×D₇	1	1	yes	characteristic
602	#395	—	7	1	no	—
603	#395	—	7	1	no	—
604	#395	—	7	1	no	—
605	#395	—	7	1	no	—
606	#395	—	7	1	no	—
607	#395	—	7	1	no	—
608	#395	C₂×D₇	1	1	yes	characteristic
609	#394	—	7	1	no	—
610	#394	—	7	1	no	—
611	#394	—	7	1	no	—
612	#394	—	7	1	no	—
613	#394	—	7	1	no	—
614	#394	—	7	1	no	—
615	#394	—	7	1	no	—
616	#394	—	7	1	no	—
617	#394	—	7	1	no	—
618	#393	—	7	1	no	—
619	#393	—	7	1	no	—
620	#393	—	7	1	no	—
621	#393	—	7	1	no	—
622	#393	C₂×D₇	1	1	yes	characteristic
623	#392	—	7	1	no	—
624	#391	—	7	1	no	—
625	#391	—	7	1	no	—
626	#390	—	7	1	no	—
627	#390	—	7	1	no	—
628	#390	—	7	1	no	—
629	#390	—	7	1	no	—
630	#389	—	7	1	no	—
631	#389	—	7	1	no	—
632	#388	—	7	1	no	—
633	#388	—	7	1	no	—
634	#388	—	7	1	no	—
635	#388	—	7	1	no	—
636	#388	—	7	1	no	—
637	#388	—	7	1	no	—
638	#388	—	7	1	no	—
639	#388	—	7	1	no	—
640	#388	—	7	1	no	—
641	#388	—	7	1	no	—
642	#388	—	7	1	no	—
643	#388	—	7	1	no	—
644	#388	—	7	1	no	—
645	#388	—	7	1	no	—
646	#388	—	7	1	no	—
647	#388	—	7	1	no	—
648	#388	—	7	1	no	—
649	#388	—	7	1	no	—
650	#388	—	7	1	no	—
651	#388	—	7	1	no	—
652	#388	C₂×D₇	1	1	yes	characteristic
653	#388	C₂×D₇	1	1	yes	characteristic
654	#387	—	7	1	no	—
655	#387	—	7	1	no	—
656	#387	—	7	1	no	—
657	#387	—	7	1	no	—
658	#387	—	7	1	no	—
659	#387	—	7	1	no	—
660	#387	—	7	1	no	—
661	#387	—	7	1	no	—
662	#387	C₂×D₇	1	1	yes	characteristic
663	#387	C₂×D₇	1	1	yes	characteristic
664	#383	—	7	1	no	—
665	#383	—	7	1	no	—
666	#382	—	7	1	no	—
667	#382	C₂×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	7	1	no	—
685	C₄×C₂²⋊C₄	—	7	1	no	—
686	C₄×C₂²⋊C₄	—	7	1	no	—
687	C₄×C₂²⋊C₄	—	7	1	no	—
688	C₄×C₂²⋊C₄	—	7	1	no	—
689	C₄×C₂²⋊C₄	—	7	1	no	—
690	C₄×C₂²⋊C₄	—	7	1	no	—
691	C₄×C₂²⋊C₄	—	7	1	no	—
692	C₄×C₂²⋊C₄	—	7	1	no	—
693	C₄×C₂²⋊C₄	—	7	1	no	—
694	C₄×C₂²⋊C₄	—	7	1	no	—
695	C₄×C₂²⋊C₄	—	7	1	no	—
696	#376	—	7	1	no	—
697	C₄³	—	7	1	no	—
698	C₄³	—	7	1	no	—
699	C₄³	—	7	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	—	2	1	no	—
707	C₂³×C₇	C₂⁵	1	1	yes	characteristic
708	C₂²×D₇	—	2	1	no	—
709	C₂²×D₇	—	2	1	no	—
710	C₂²×D₇	—	2	1	no	—
711	C₂²×D₇	—	2	1	no	—
712	C₂²×D₇	—	2	1	no	—
713	C₂²×D₇	—	2	1	no	—
714	C₂²×D₇	—	2	1	no	—
715	C₂²×D₇	—	2	1	no	—
716	C₂²×D₇	—	2	1	no	—
717	C₂²×D₇	—	2	1	no	—
718	C₂²×D₇	—	2	1	no	—
719	C₂²×D₇	—	2	1	no	—
720	C₂²×D₇	—	2	1	no	—
721	C₂²×D₇	—	2	1	no	—
722	C₇×Q₈	—	2	8	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	2	1	no	—
750	C₂×C₄×C₇	—	2	1	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	1	no	—
753	C₂×C₄×C₇	—	2	1	no	—
754	C₂×C₄×C₇	—	2	1	no	—
755	C₂×C₄×C₇	—	2	1	no	—
756	C₂×C₄×C₇	—	2	1	no	—
757	C₂×C₄×C₇	—	2	1	no	—
758	C₂×C₄×C₇	—	2	1	no	—
759	C₂×C₄×C₇	—	2	1	no	—
760	C₂×C₄×C₇	C₂×#41	1	2	yes	—
761	C₂×C₄×C₇	C₂×#41	1	2	yes	—
762	C₂×C₄×C₇	C₂×#41	1	2	yes	—
763	C₂×C₄×C₇	C₂×#41	1	2	yes	—
764	C₂×C₄×C₇	C₂×#41	1	2	yes	—
765	C₂²⋊D₇	—	4	4	no	—
766	C₂²⋊D₇	—	4	4	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	—	2	1	no	—
792	C₂×Dic₇	—	2	1	no	—
793	C₂×Dic₇	—	2	1	no	—
794	C₂×Dic₇	—	2	1	no	—
795	C₂×Dic₇	—	2	1	no	—
796	C₂×Dic₇	—	2	1	no	—
797	C₂×Dic₇	—	2	1	no	—
798	C₂×Dic₇	—	2	1	no	—
799	C₂×Dic₇	—	2	1	no	—
800	C₂×Dic₇	—	2	1	no	—
801	C₂×Dic₇	—	2	1	no	—
802	C₂×Dic₇	—	2	1	no	—
803	C₂×Dic₇	—	4	4	no	—
804	C₂×Dic₇	C₂×#41	1	2	yes	—
805	C₂×Dic₇	C₂×#41	1	2	yes	—
806	C₂×Dic₇	C₂×#41	1	2	yes	—
807	C₂×Dic₇	C₂×#41	1	2	yes	—
808	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
809	C₂×Dic₇	2₋¹⁺⁴	1	2	yes	—
810	D₂₈	—	4	4	no	—
811	C₄×D₇	—	4	4	no	—
812	C₄×D₇	—	4	4	no	—
813	Dic₁₄	—	4	4	no	—
814	Dic₁₄	—	4	4	no	—
815	C₂²×Q₈	—	7	1	no	—
816	C₂²×Q₈	—	7	1	no	—
817	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
818	C₂²×D₄	—	7	1	no	—
819	C₂²×D₄	—	7	1	no	—
820	C₂²×D₄	—	7	1	no	—
821	C₂³×C₄	—	7	1	no	—
822	C₂³×C₄	—	7	1	no	—
823	C₂³×C₄	—	7	1	no	—
824	#126	—	2	4	no	—
825	#126	—	14	4	no	—
826	#124	—	14	4	no	—
827	#124	—	14	4	no	—
828	C₄×Q₈	—	2	4	no	—
829	C₄×Q₈	—	14	4	no	—
830	C₄×Q₈	—	14	4	no	—
831	C₄×Q₈	—	28	2	no	—
832	C₄×Q₈	—	28	2	no	—
833	C₄×D₄	—	14	4	no	—
834	C₄×D₄	—	28	2	no	—
835	C₄×D₄	—	28	2	no	—
836	#117	—	14	4	no	—
837	#117	—	28	2	no	—
838	#117	—	28	2	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	C₂²×D₇	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×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	—	7	1	no	—
884	C₂×C₂²⋊C₄	—	7	1	no	—
885	C₂×C₂²⋊C₄	—	7	1	no	—
886	C₂×C₂²⋊C₄	—	7	1	no	—
887	C₂×C₂²⋊C₄	—	7	1	no	—
888	C₂×C₂²⋊C₄	—	7	1	no	—
889	C₂×C₂²⋊C₄	—	7	1	no	—
890	C₂×C₂²⋊C₄	—	7	1	no	—
891	C₂×C₂²⋊C₄	—	7	1	no	—
892	C₂×C₂²⋊C₄	—	7	1	no	—
893	C₂×C₂²⋊C₄	—	7	1	no	—
894	C₂×C₂²⋊C₄	—	7	1	no	—
895	C₂×C₂²⋊C₄	—	7	1	no	—
896	C₂×C₂²⋊C₄	—	7	1	no	—
897	C₂×C₂²⋊C₄	—	7	1	no	—
898	C₂×C₂²⋊C₄	—	7	1	no	—
899	C₂×C₂²⋊C₄	—	7	1	no	—
900	C₂×C₂²⋊C₄	—	7	1	no	—
901	C₂×C₂²⋊C₄	—	7	1	no	—
902	C₂×C₂²⋊C₄	—	7	1	no	—
903	C₂×C₂²⋊C₄	—	7	1	no	—
904	C₂×C₂²⋊C₄	—	7	1	no	—
905	C₂×C₂²⋊C₄	—	7	1	no	—
906	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
913	C₂×C₄²	—	7	1	no	—
914	C₂×C₄²	—	7	1	no	—
915	C₂×C₄²	—	7	1	no	—
916	C₂×C₄²	—	7	1	no	—
917	C₂×C₄²	—	7	1	no	—
918	C₂×C₄²	—	7	1	no	—
919	C₂×C₄²	—	7	1	no	—
920	C₂×C₄²	—	7	1	no	—
921	C₂×C₄²	—	7	1	no	—
922	C₂×C₄²	—	7	1	no	—
923	C₂×C₄²	—	7	1	no	—
924	C₂×C₄²	—	7	1	no	—
925	C₂×C₄²	—	7	1	no	—
926	C₂×C₄²	—	7	1	no	—
927	C₂×C₄²	—	7	1	no	—
928	C₂×C₄²	—	7	1	no	—
929	C₂×C₄²	—	7	1	no	—
930	C₂×C₄²	—	7	1	no	—
931	C₂×C₄²	—	7	1	no	—
932	C₂×C₄²	—	7	1	no	—
933	C₂×C₄²	—	7	1	no	—
934	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
935	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
936	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	—	7	1	no	—
959	#95	—	7	1	no	—
960	#95	—	7	1	no	—
961	#95	—	7	1	no	—
962	#95	—	7	1	no	—
963	#95	—	7	1	no	—
964	#95	—	7	1	no	—
965	#95	—	7	1	no	—
966	#95	—	7	1	no	—
967	#95	—	7	1	no	—
968	#95	—	7	1	no	—
969	#95	—	7	1	no	—
970	#95	—	7	1	no	—
971	#95	—	7	1	no	—
972	#95	—	7	1	no	—
973	#95	C₂²×D₇	1	1	yes	characteristic
974	#95	C₂²×D₇	1	1	yes	characteristic
975	#95	C₂²×D₇	1	1	yes	characteristic
976	#95	C₂²×D₇	1	1	yes	characteristic
977	#95	C₂²×D₇	1	1	yes	characteristic
978	#95	C₂²×D₇	1	1	yes	characteristic
979	#95	C₂²×D₇	1	1	yes	characteristic
980	#95	C₂²×D₇	1	1	yes	characteristic
981	#95	C₂²×D₇	1	1	yes	characteristic
982	#95	C₂²×D₇	1	1	yes	characteristic
983	#95	C₂²×D₇	1	1	yes	characteristic
984	#95	C₂²×D₇	1	1	yes	characteristic
985	C₂²×C₇	—	4	1	no	—
986	C₂²×C₇	—	4	1	no	—
987	C₂²×C₇	—	4	1	no	—
988	C₂²×C₇	—	4	1	no	—
989	C₂²×C₇	—	4	1	no	—
990	C₂²×C₇	—	4	1	no	—
991	C₂²×C₇	—	4	1	no	—
992	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
993	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
994	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
995	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
996	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
997	C₂²×C₇	#585	1	1	yes	characteristic
998	C₂²×C₇	#585	1	1	yes	characteristic
999	C₂×D₇	—	4	1	no	—
1000	C₂×D₇	—	4	1	no	—
1001	C₂×D₇	—	4	1	no	—
1002	C₂×D₇	—	4	1	no	—
1003	C₂×D₇	—	4	1	no	—
1004	C₂×D₇	—	4	1	no	—
1005	C₂×D₇	—	4	1	no	—
1006	C₂×D₇	—	4	1	no	—
1007	C₂×D₇	—	4	1	no	—
1008	C₂×D₇	—	4	1	no	—
1009	C₂×D₇	—	4	1	no	—
1010	C₂×D₇	—	4	1	no	—
1011	C₂×D₇	—	4	1	no	—
1012	C₂×D₇	—	4	1	no	—
1013	C₄×C₇	—	2	2	no	—
1014	C₄×C₇	—	2	2	no	—
1015	C₄×C₇	—	2	2	no	—
1016	C₄×C₇	—	2	2	no	—
1017	C₄×C₇	—	2	2	no	—
1018	C₄×C₇	—	4	1	no	—
1019	C₄×C₇	—	4	1	no	—
1020	C₄×C₇	—	4	1	no	—
1021	C₄×C₇	—	4	1	no	—
1022	C₄×C₇	—	4	1	no	—
1023	C₄×C₇	—	4	1	no	—
1024	C₄×C₇	—	4	1	no	—
1025	C₄×C₇	—	4	1	no	—
1026	C₄×C₇	—	4	1	no	—
1027	Dic₇	—	2	2	no	—
1028	Dic₇	—	2	2	no	—
1029	Dic₇	—	2	2	no	—
1030	Dic₇	—	4	1	no	—
1031	Dic₇	—	4	1	no	—
1032	Dic₇	—	4	1	no	—
1033	Dic₇	—	4	1	no	—
1034	Dic₇	—	4	1	no	—
1035	Dic₇	—	4	1	no	—
1036	Dic₇	—	4	1	no	—
1037	Dic₇	—	4	1	no	—
1038	Dic₇	—	4	1	no	—
1039	Dic₇	—	4	1	no	—
1040	Dic₇	#542	1	4	yes	—
1041	C₂⁴	—	7	1	no	—
1042	C₂⁴	—	7	1	no	—
1043	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1044	C₂×Q₈	—	2	2	no	—
1045	C₂×Q₈	—	2	2	no	—
1046	C₂×Q₈	—	2	2	no	—
1047	C₂×Q₈	—	14	2	no	—
1048	C₂×Q₈	—	14	2	no	—
1049	C₂×Q₈	—	28	1	no	—
1050	C₂×Q₈	—	28	1	no	—
1051	C₂×Q₈	—	28	1	no	—
1052	C₂×Q₈	—	28	1	no	—
1053	C₂×D₄	—	14	2	no	—
1054	C₂×D₄	—	14	2	no	—
1055	C₂×D₄	—	14	2	no	—
1056	C₂×D₄	—	28	1	no	—
1057	C₂×D₄	—	28	1	no	—
1058	C₂×D₄	—	28	1	no	—
1059	C₂×D₄	—	28	1	no	—
1060	C₂×D₄	—	28	1	no	—
1061	C₂×D₄	—	28	1	no	—
1062	C₂²×C₄	—	7	1	no	—
1063	C₂²×C₄	—	7	1	no	—
1064	C₂²×C₄	—	7	1	no	—
1065	C₂²×C₄	—	7	1	no	—
1066	C₂²×C₄	—	7	1	no	—
1067	C₂²×C₄	—	7	1	no	—
1068	C₂²×C₄	—	7	1	no	—
1069	C₂²×C₄	—	7	1	no	—
1070	C₂²×C₄	—	7	1	no	—
1071	C₂²×C₄	—	7	1	no	—
1072	C₂²×C₄	—	7	1	no	—
1073	C₂²×C₄	—	7	1	no	—
1074	C₂²×C₄	—	7	1	no	—
1075	C₂²×C₄	—	7	1	no	—
1076	C₂²×C₄	—	14	2	no	—
1077	C₂²×C₄	—	14	2	no	—
1078	C₂²×C₄	—	14	2	no	—
1079	C₂²×C₄	—	14	2	no	—
1080	C₂²×C₄	—	14	2	no	—
1081	C₂²×C₄	—	14	2	no	—
1082	C₂²×C₄	—	14	2	no	—
1083	C₂²×C₄	—	14	2	no	—
1084	C₂²×C₄	—	14	2	no	—
1085	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	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	—	28	1	no	—
1122	C₄⋊C₄	—	28	1	no	—
1123	C₄⋊C₄	—	28	1	no	—
1124	C₄⋊C₄	—	28	1	no	—
1125	C₄⋊C₄	—	28	1	no	—
1126	C₄⋊C₄	—	28	1	no	—
1127	C₄⋊C₄	—	28	1	no	—
1128	C₄⋊C₄	—	28	1	no	—
1129	C₄⋊C₄	—	28	1	no	—
1130	C₄⋊C₄	—	28	1	no	—
1131	C₄⋊C₄	—	28	1	no	—
1132	C₄⋊C₄	—	28	1	no	—
1133	C₄⋊C₄	—	28	1	no	—
1134	C₄⋊C₄	—	28	1	no	—
1135	C₄⋊C₄	—	28	1	no	—
1136	C₄⋊C₄	—	28	1	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	4	1	no	—
1143	C₂²⋊C₄	—	4	1	no	—
1144	C₂²⋊C₄	—	14	2	no	—
1145	C₂²⋊C₄	—	14	2	no	—
1146	C₂²⋊C₄	—	14	2	no	—
1147	C₂²⋊C₄	—	14	2	no	—
1148	C₂²⋊C₄	—	14	2	no	—
1149	C₂²⋊C₄	—	14	2	no	—
1150	C₂²⋊C₄	—	14	2	no	—
1151	C₂²⋊C₄	—	14	2	no	—
1152	C₂²⋊C₄	—	14	2	no	—
1153	C₂²⋊C₄	—	14	2	no	—
1154	C₂²⋊C₄	—	14	2	no	—
1155	C₂²⋊C₄	—	14	2	no	—
1156	C₂²⋊C₄	—	14	2	no	—
1157	C₂²⋊C₄	—	28	1	no	—
1158	C₂²⋊C₄	—	28	1	no	—
1159	C₂²⋊C₄	—	28	1	no	—
1160	C₂²⋊C₄	—	28	1	no	—
1161	C₂²⋊C₄	—	28	1	no	—
1162	C₂²⋊C₄	—	28	1	no	—
1163	C₂²⋊C₄	—	28	1	no	—
1164	C₂²⋊C₄	—	28	1	no	—
1165	C₂²⋊C₄	—	28	1	no	—
1166	C₂²⋊C₄	—	28	1	no	—
1167	C₂²⋊C₄	—	28	1	no	—
1168	C₂²⋊C₄	—	28	1	no	—
1169	C₂²⋊C₄	—	28	1	no	—
1170	C₂²⋊C₄	—	28	1	no	—
1171	C₂²⋊C₄	—	28	1	no	—
1172	C₂²⋊C₄	—	28	1	no	—
1173	C₄²	—	2	2	no	—
1174	C₄²	—	2	2	no	—
1175	C₄²	—	7	4	no	—
1176	C₄²	—	7	4	no	—
1177	C₄²	—	14	2	no	—
1178	C₄²	—	14	2	no	—
1179	C₄²	—	14	2	no	—
1180	C₄²	—	14	2	no	—
1181	C₄²	—	14	2	no	—
1182	C₄²	—	14	2	no	—
1183	C₄²	—	14	2	no	—
1184	C₄²	—	14	2	no	—
1185	C₄²	—	14	2	no	—
1186	C₄²	—	14	2	no	—
1187	C₄²	—	14	2	no	—
1188	C₄²	—	14	2	no	—
1189	C₄²	—	14	2	no	—
1190	C₄²	—	28	1	no	—
1191	C₄²	—	28	1	no	—
1192	C₄²	—	28	1	no	—
1193	C₄²	—	28	1	no	—
1194	C₄²	—	28	1	no	—
1195	C₄²	—	28	1	no	—
1196	C₄²	#1159	1	4	yes	—
1197	C₂×C₇	—	8	1	no	—
1198	C₂×C₇	#3444	1	1	yes	characteristic
1199	C₂×C₇	C₂×#542	1	1	yes	characteristic
1200	C₂×C₇	#3455	1	1	yes	characteristic
1201	C₂×C₇	#3460	1	1	yes	characteristic
1202	C₂×C₇	#3460	1	1	yes	characteristic
1203	C₂×C₇	#3461	1	1	yes	characteristic
1204	C₂×C₇	#3461	1	1	yes	characteristic
1205	D₇	—	8	1	no	—
1206	D₇	—	8	1	no	—
1207	C₂³	—	2	1	no	—
1208	C₂³	—	2	1	no	—
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	14	1	no	—
1215	C₂³	—	14	1	no	—
1216	C₂³	—	14	1	no	—
1217	C₂³	—	14	1	no	—
1218	C₂³	—	14	1	no	—
1219	C₂³	—	14	1	no	—
1220	C₂³	—	14	1	no	—
1221	C₂³	—	14	1	no	—
1222	C₂³	—	14	1	no	—
1223	C₂³	—	14	1	no	—
1224	C₂³	—	14	1	no	—
1225	C₂³	—	14	1	no	—
1226	C₂³	—	14	1	no	—
1227	C₂³	—	14	1	no	—
1228	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1229	Q₈	—	2	8	no	—
1230	Q₈	—	28	4	no	—
1231	Q₈	—	28	4	no	—
1232	D₄	—	28	4	no	—
1233	D₄	—	28	4	no	—
1234	D₄	—	28	4	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	7	2	no	—
1273	C₂×C₄	—	7	2	no	—
1274	C₂×C₄	—	7	2	no	—
1275	C₂×C₄	—	7	2	no	—
1276	C₂×C₄	—	7	2	no	—
1277	C₂×C₄	—	7	2	no	—
1278	C₂×C₄	—	14	1	no	—
1279	C₂×C₄	—	14	1	no	—
1280	C₂×C₄	—	14	1	no	—
1281	C₂×C₄	—	14	1	no	—
1282	C₂×C₄	—	14	1	no	—
1283	C₂×C₄	—	14	1	no	—
1284	C₂×C₄	—	14	1	no	—
1285	C₂×C₄	—	14	1	no	—
1286	C₂×C₄	—	14	1	no	—
1287	C₂×C₄	—	14	1	no	—
1288	C₂×C₄	—	14	1	no	—
1289	C₂×C₄	—	14	1	no	—
1290	C₂×C₄	—	14	1	no	—
1291	C₂×C₄	—	14	1	no	—
1292	C₂×C₄	—	14	1	no	—
1293	C₂×C₄	—	14	1	no	—
1294	C₂×C₄	—	14	1	no	—
1295	C₂×C₄	—	14	1	no	—
1296	C₂×C₄	—	14	1	no	—
1297	C₂×C₄	—	14	1	no	—
1298	C₂×C₄	—	14	1	no	—
1299	C₂×C₄	—	14	1	no	—
1300	C₂×C₄	—	14	1	no	—
1301	C₂×C₄	—	14	1	no	—
1302	C₂×C₄	—	14	1	no	—
1303	C₂×C₄	—	14	1	no	—
1304	C₂×C₄	—	14	1	no	—
1305	C₂×C₄	—	14	1	no	—
1306	C₂×C₄	—	14	1	no	—
1307	C₂×C₄	—	14	1	no	—
1308	C₂×C₄	—	14	1	no	—
1309	C₂×C₄	—	14	1	no	—
1310	C₂×C₄	—	14	1	no	—
1311	C₂×C₄	—	14	1	no	—
1312	C₂×C₄	—	14	1	no	—
1313	C₂×C₄	—	14	1	no	—
1314	C₂×C₄	—	28	4	no	—
1315	C₂×C₄	—	28	4	no	—
1316	C₂×C₄	—	28	4	no	—
1317	C₂×C₄	C₂×#1159	1	2	yes	—
1318	C₂×C₄	C₂×#1159	1	2	yes	—
1319	C₂×C₄	C₂×#1159	1	2	yes	—
1320	C₂×C₄	D₇×#41	1	2	yes	—
1321	C₂×C₄	D₇×#41	1	2	yes	—
1322	C₇	#34603	1	1	yes	characteristic, complemented, Sylow
1323	C₂²	—	4	1	no	—
1324	C₂²	—	4	1	no	—
1325	C₂²	—	4	1	no	—
1326	C₂²	—	4	1	no	—
1327	C₂²	—	4	1	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	1	no	—
1330	C₂²	—	28	1	no	—
1331	C₂²	—	28	1	no	—
1332	C₂²	—	28	1	no	—
1333	C₂²	—	28	1	no	—
1334	C₂²	—	28	1	no	—
1335	C₂²	—	28	1	no	—
1336	C₂²	—	28	1	no	—
1337	C₂²	—	28	1	no	—
1338	C₂²	—	28	1	no	—
1339	C₂²	—	28	1	no	—
1340	C₂²	—	28	1	no	—
1341	C₂²	—	28	1	no	—
1342	C₂²	—	28	1	no	—
1343	C₂²	—	28	1	no	—
1344	C₂²	C₂²×#1159	1	1	yes	characteristic
1345	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1346	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1347	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1348	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1349	C₂²	#90620	1	1	yes	characteristic
1350	C₂²	#90620	1	1	yes	characteristic
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	7	4	no	—
1366	C₄	—	14	2	no	—
1367	C₄	—	14	2	no	—
1368	C₄	—	14	2	no	—
1369	C₄	—	28	1	no	—
1370	C₄	—	28	1	no	—
1371	C₄	—	28	1	no	—
1372	C₄	—	28	1	no	—
1373	C₄	—	28	1	no	—
1374	C₄	—	28	1	no	—
1375	C₄	—	28	1	no	—
1376	C₄	—	28	1	no	—
1377	C₄	—	28	1	no	—
1378	C₄	—	28	1	no	—
1379	C₂	—	8	1	no	—
1380	C₂	—	56	1	no	—
1381	C₂	—	56	1	no	—
1382	C₂	#11743086	1	1	yes	characteristic
1383	C₂	#11743407	1	1	yes	characteristic
1384	C₂	#11743432	1	1	yes	characteristic
1385	C₂	#11743563	1	1	yes	characteristic
1386	C₂	#11743564	1	1	yes	characteristic
1387	C₂	#11743592	1	1	yes	characteristic
1388	C₂	D₇×#542	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2637	C₂
prime radical	#89732	C₂²
hypercenter	#2637	D₇
hypocenter	C₇	#34603
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2637

Complements

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

N	H ≅ G/N	type
1. C₇×#2637	C₂	semidirect
3. Dic₇×#126	C₂	semidirect
4. #11739948	C₂	semidirect
5. C₄×Q₈×Dic₇	C₂	semidirect
6. #11735287	C₂	semidirect
7. #11735277	C₂	semidirect
8. #11735273	C₂	semidirect
9. #11735185	C₂	semidirect
10. #11735184	C₂	semidirect
11. #11735183	C₂	semidirect
12. #11735001	C₂	semidirect
13. #11734904	C₂	semidirect
15. #11734785	C₂	semidirect
16. #11734727	C₂	semidirect
18. #11734650	C₂	semidirect
19. #11734615	C₂	semidirect
20. #11734257	C₂	semidirect
21. #11734224	C₂	semidirect
22. #11733352	C₂	semidirect
23. #11733102	C₂	semidirect
24. #11732899	C₂	semidirect
25. #11732895	C₂	semidirect
26. #11732827	C₂	semidirect
27. #11732583	C₂	semidirect
28. #11732387	C₂	semidirect
29. #11732384	C₂	semidirect
30. #11731642	C₂	semidirect
31. #11731594	C₂	semidirect
371. #2637	D₇	semidirect
1322. C₇	#34603	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2637	2
#11740558	2
Dic₇×#126	2
#11739948	2
C₄×Q₈×Dic₇	2
#11735287	2
#11735277	2
#11735273	2
#11735185	2
#11735184	2
#11735183	2
#11735001	2
#11734904	2
#11734789	2
#11734785	2
#11734727	2
#11734726	2
#11734650	2
#11734615	2
#11734257	2
#11734224	2
#11733352	2
#11733102	2
#11732899	2
#11732895	2
#11732827	2
#11732583	2
#11732387	2
#11732384	2
#11731642	2
#11731594	2
#34603	7