Subgroups — #13561020

Order 1792.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2744	C₂	1	1	yes	maximal, characteristic, complemented
2	#11735830	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735829	C₂	1	1	yes	maximal, characteristic, complemented
4	#11735797	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735797	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735434	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735418	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735411	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735410	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735015	C₂	1	1	yes	maximal, characteristic, complemented
11	#11734927	C₂	1	1	yes	maximal, characteristic
12	#11734818	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734748	C₂	1	1	yes	maximal, characteristic
14	#11733161	C₂	1	1	yes	maximal, characteristic, complemented
15	#11733116	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732985	C₂	1	1	yes	maximal, characteristic
17	#11732984	C₂	1	1	yes	maximal, characteristic
18	#11732851	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732840	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732837	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732786	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732745	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732744	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732100	C₂	1	1	yes	maximal, characteristic
25	#11731966	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731692	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731681	C₂	1	1	yes	maximal, characteristic, complemented
28	D₇×#381	C₂	1	1	yes	maximal, characteristic
29	#11731541	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731494	C₂	1	1	yes	maximal, characteristic
31	#11731426	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
33	C₂×#6487	C₂²	1	1	yes	characteristic
34	C₂×#6461	C₂²	1	1	yes	characteristic
35	C₂×#6460	C₂²	1	1	yes	characteristic
36	C₂×#6460	C₂²	1	1	yes	characteristic
37	C₂×#6459	C₂²	1	1	yes	characteristic
38	C₂×#6459	C₂²	1	1	yes	characteristic
39	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×#6442	C₂²	1	1	yes	characteristic
42	C₂×#6442	C₂²	1	1	yes	characteristic
43	C₂×#6441	C₂²	1	1	yes	characteristic
44	C₂×#6439	C₂²	1	1	yes	characteristic
45	C₇×#400	C₂²	1	1	yes	characteristic, complemented
46	C₇×#400	C₂²	1	1	yes	characteristic, complemented
47	C₇×#398	C₂²	1	1	yes	characteristic, complemented
48	C₇×#398	C₂²	1	1	yes	characteristic, complemented
49	C₇×#397	C₂²	1	1	yes	characteristic
50	C₇×#396	C₂²	1	1	yes	characteristic
51	C₇×#388	C₂²	1	1	yes	characteristic
52	C₇×#388	C₂²	1	1	yes	characteristic
53	C₇×#387	C₂²	1	1	yes	characteristic, complemented
54	C₇×#387	C₂²	1	1	yes	characteristic, complemented
55	C₇×#387	C₂²	1	1	yes	characteristic, complemented
56	C₇×#385	C₂²	1	1	yes	characteristic
57	C₇×#382	C₂²	1	1	yes	characteristic, complemented
58	C₇×#381	C₂²	1	1	yes	characteristic
59	C₇×#380	C₂²	1	1	yes	characteristic
60	#89983	C₂²	1	1	yes	characteristic
61	#89982	C₂²	1	1	yes	characteristic
62	#89766	C₂²	1	1	yes	characteristic
63	#89765	C₂²	1	1	yes	characteristic
64	#89765	C₂²	1	1	yes	characteristic
65	#89762	C₂²	1	1	yes	characteristic
66	#89762	C₂²	1	1	yes	characteristic
67	#89761	C₂²	1	1	yes	characteristic
68	#89761	C₂²	1	1	yes	characteristic
69	#89761	C₂²	1	1	yes	characteristic
70	#89761	C₂²	1	1	yes	characteristic
71	#89761	C₂²	1	1	yes	characteristic
72	#89761	C₂²	1	1	yes	characteristic
73	#89759	C₂²	1	1	yes	characteristic
74	#89759	C₂²	1	1	yes	characteristic
75	#89759	C₂²	1	1	yes	characteristic
76	#89759	C₂²	1	1	yes	characteristic
77	#89758	C₂²	1	1	yes	characteristic, complemented
78	#89757	C₂²	1	1	yes	characteristic, complemented
79	#89757	C₂²	1	1	yes	characteristic, complemented
80	#89757	C₂²	1	1	yes	characteristic, complemented
81	#89756	C₂²	1	1	yes	characteristic, complemented
82	#89756	C₂²	1	1	yes	characteristic, complemented
83	#89756	C₂²	1	1	yes	characteristic, complemented
84	#89756	C₂²	1	1	yes	characteristic, complemented
85	#89755	C₂²	1	1	yes	characteristic, complemented
86	#89754	C₂²	1	1	yes	characteristic, complemented
87	#89753	C₂²	1	1	yes	characteristic, complemented
88	#89753	C₂²	1	1	yes	characteristic, complemented
89	#89753	C₂²	1	1	yes	characteristic, complemented
90	#89752	C₂²	1	1	yes	characteristic, complemented
91	#89752	C₂²	1	1	yes	characteristic, complemented
92	#89752	C₂²	1	1	yes	characteristic, complemented
93	#89751	C₂²	1	1	yes	characteristic, complemented
94	#89750	C₂²	1	1	yes	characteristic, complemented
95	#89750	C₂²	1	1	yes	characteristic, complemented
96	#89745	C₂²	1	1	yes	characteristic, complemented
97	#89727	C₂²	1	1	yes	characteristic
98	#89727	C₂²	1	1	yes	characteristic
99	#89727	C₂²	1	1	yes	characteristic
100	#89727	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	#89724	C₂²	1	1	yes	characteristic
105	#89724	C₂²	1	1	yes	characteristic
106	#89722	C₂²	1	1	yes	characteristic
107	#89722	C₂²	1	1	yes	characteristic
108	#89720	C₂²	1	1	yes	characteristic
109	#89717	C₂²	1	1	yes	characteristic
110	#89717	C₂²	1	1	yes	characteristic
111	#89717	C₂²	1	1	yes	characteristic
112	#89716	C₂²	1	1	yes	characteristic
113	#89715	C₂²	1	1	yes	characteristic
114	#89715	C₂²	1	1	yes	characteristic
115	#89714	C₂²	1	1	yes	characteristic
116	#89712	C₂²	1	1	yes	characteristic
117	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
119	#89705	C₂²	1	1	yes	characteristic, complemented
120	#89701	C₂²	1	1	yes	characteristic, complemented
121	#89700	C₂²	1	1	yes	characteristic, complemented
122	#89700	C₂²	1	1	yes	characteristic, complemented
123	#89448	C₂²	1	1	yes	characteristic
124	#89447	C₂²	1	1	yes	characteristic
125	#89447	C₂²	1	1	yes	characteristic
126	#89446	C₂²	1	1	yes	characteristic
127	#89446	C₂²	1	1	yes	characteristic
128	#89442	C₂²	1	1	yes	characteristic
129	#89442	C₂²	1	1	yes	characteristic
130	#89441	C₂²	1	1	yes	characteristic
131	#89440	C₂²	1	1	yes	characteristic
132	#89440	C₂²	1	1	yes	characteristic
133	#89440	C₂²	1	1	yes	characteristic
134	#89440	C₂²	1	1	yes	characteristic
135	#89440	C₂²	1	1	yes	characteristic
136	#89440	C₂²	1	1	yes	characteristic
137	#89440	C₂²	1	1	yes	characteristic
138	#89440	C₂²	1	1	yes	characteristic
139	#89440	C₂²	1	1	yes	characteristic
140	#89440	C₂²	1	1	yes	characteristic
141	#89439	C₂²	1	1	yes	characteristic
142	#89439	C₂²	1	1	yes	characteristic
143	#89439	C₂²	1	1	yes	characteristic
144	#89439	C₂²	1	1	yes	characteristic
145	#89438	C₂²	1	1	yes	characteristic
146	#89438	C₂²	1	1	yes	characteristic
147	#89436	C₂²	1	1	yes	characteristic
148	#89436	C₂²	1	1	yes	characteristic
149	#89436	C₂²	1	1	yes	characteristic
150	#89436	C₂²	1	1	yes	characteristic
151	D₇×#95	C₂²	1	1	yes	characteristic
152	D₇×#95	C₂²	1	1	yes	characteristic
153	D₇×#95	C₂²	1	1	yes	characteristic
154	D₇×#95	C₂²	1	1	yes	characteristic
155	#89432	C₂²	1	1	yes	characteristic, complemented
156	#89432	C₂²	1	1	yes	characteristic, complemented
157	#89432	C₂²	1	1	yes	characteristic, complemented
158	#89432	C₂²	1	1	yes	characteristic, complemented
159	#89432	C₂²	1	1	yes	characteristic, complemented
160	#89432	C₂²	1	1	yes	characteristic, complemented
161	#89431	C₂²	1	1	yes	characteristic, complemented
162	#89431	C₂²	1	1	yes	characteristic, complemented
163	#89431	C₂²	1	1	yes	characteristic, complemented
164	#89430	C₂²	1	1	yes	characteristic, complemented
165	#89430	C₂²	1	1	yes	characteristic, complemented
166	#89430	C₂²	1	1	yes	characteristic, complemented
167	#89429	C₂²	1	1	yes	characteristic, complemented
168	#89429	C₂²	1	1	yes	characteristic, complemented
169	#89428	C₂²	1	1	yes	characteristic, complemented
170	#89428	C₂²	1	1	yes	characteristic, complemented
171	#89428	C₂²	1	1	yes	characteristic, complemented
172	#89427	C₂²	1	1	yes	characteristic, complemented
173	#89426	C₂²	1	1	yes	characteristic, complemented
174	#89426	C₂²	1	1	yes	characteristic, complemented
175	#89426	C₂²	1	1	yes	characteristic, complemented
176	#89425	C₂²	1	1	yes	characteristic, complemented
177	#89424	C₂²	1	1	yes	characteristic, complemented
178	#89424	C₂²	1	1	yes	characteristic, complemented
179	#89422	C₂²	1	1	yes	characteristic, complemented
180	#89422	C₂²	1	1	yes	characteristic, complemented
181	#89422	C₂²	1	1	yes	characteristic, complemented
182	#89419	C₂²	1	1	yes	characteristic, complemented
183	#89419	C₂²	1	1	yes	characteristic, complemented
184	#89418	C₂²	1	1	yes	characteristic, complemented
185	#89418	C₂²	1	1	yes	characteristic, complemented
186	#89418	C₂²	1	1	yes	characteristic, complemented
187	#36732	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇	—	2	4	no	—
192	C₂²×C₄×D₇	—	4	2	no	—
193	C₂²×C₄×D₇	—	4	2	no	—
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×Dic₁₄	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(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×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	#6487	—	4	2	no	—
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	#6461	—	4	2	no	—
288	#6460	—	2	4	no	—
289	#6460	—	4	2	no	—
290	#6459	—	2	4	no	—
291	#6459	—	4	2	no	—
292	D₇×C₂²⋊C₄	—	4	2	no	—
293	D₇×C₂²⋊C₄	—	4	2	no	—
294	#6442	—	4	2	no	—
295	#6442	—	4	2	no	—
296	#6441	—	4	2	no	—
297	#6439	—	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	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	#2848	—	7	1	no	—
359	#2848	—	7	1	no	—
360	#2744	—	7	1	no	—
361	#2744	—	7	1	no	—
362	#2744	—	7	1	no	—
363	#2744	D₇	1	1	yes	characteristic, complemented
364	#2739	—	7	1	no	—
365	#2739	—	7	1	no	—
366	#2739	—	7	1	no	—
367	#2739	—	7	1	no	—
368	#2698	—	7	1	no	—
369	#2698	—	7	1	no	—
370	#2698	—	7	1	no	—
371	#2698	—	7	1	no	—
372	#2689	—	7	1	no	—
373	#2689	—	7	1	no	—
374	#2689	—	7	1	no	—
375	#2689	—	7	1	no	—
376	#2659	—	7	1	no	—
377	#2646	—	7	1	no	—
378	#2505	—	7	1	no	—
379	#2505	—	7	1	no	—
380	#2505	—	7	1	no	—
381	#2505	—	7	1	no	—
382	#2480	—	7	1	no	—
383	#2480	—	7	1	no	—
384	#2480	—	7	1	no	—
385	#2480	—	7	1	no	—
386	#2329	—	7	1	no	—
387	#2329	—	7	1	no	—
388	C₂×#381	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂³×D₇	—	2	2	no	—
391	C₂³×D₇	—	2	2	no	—
392	C₂³×D₇	—	2	2	no	—
393	C₂³×D₇	—	2	2	no	—
394	C₂³×D₇	—	2	2	no	—
395	C₂³×D₇	—	4	1	no	—
396	C₂³×D₇	—	4	1	no	—
397	C₂³×D₇	C₂⁴	1	1	yes	characteristic
398	C₂³×D₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	—	2	2	no	—
400	C₂²×C₄×C₇	—	2	2	no	—
401	C₂²×C₄×C₇	—	4	1	no	—
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	—	2	2	no	—
417	C₂²×Dic₇	—	2	2	no	—
418	C₂²×Dic₇	—	4	1	no	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
443	C₂×C₄×D₇	—	4	1	no	—
444	C₂×C₄×D₇	—	4	1	no	—
445	C₂×C₄×D₇	—	4	1	no	—
446	C₂×C₄×D₇	—	4	1	no	—
447	C₂×C₄×D₇	—	4	1	no	—
448	C₂×C₄×D₇	—	4	16	no	—
449	C₂×C₄×D₇	—	4	1	no	—
450	C₂×C₄×D₇	—	4	1	no	—
451	C₂×C₄×D₇	—	4	1	no	—
452	C₂×C₄×D₇	—	4	1	no	—
453	C₂×C₄×D₇	—	4	1	no	—
454	C₂×C₄×D₇	—	4	1	no	—
455	C₂×C₄×D₇	—	4	1	no	—
456	C₂×C₄×D₇	—	4	1	no	—
457	C₂×C₄×D₇	#41	1	4	yes	—
458	C₂×Dic₁₄	—	2	2	no	—
459	C₂×Dic₁₄	—	2	2	no	—
460	C₂×Dic₁₄	—	4	1	no	—
461	C₂×Dic₁₄	—	4	1	no	—
462	C₂×Dic₁₄	—	4	1	no	—
463	C₂×Dic₁₄	—	4	1	no	—
464	C₇×C₄⋊C₄	—	2	2	no	—
465	C₇×C₄⋊C₄	—	2	2	no	—
466	C₇×C₄⋊C₄	—	4	1	no	—
467	C₇×C₄⋊C₄	—	4	1	no	—
468	C₇×C₄⋊C₄	—	4	1	no	—
469	C₇×C₄⋊C₄	—	4	1	no	—
470	C₇×C₄⋊C₄	—	4	1	no	—
471	C₇×C₄⋊C₄	—	4	1	no	—
472	C₇×C₄⋊C₄	—	4	1	no	—
473	C₇×C₄⋊C₄	—	4	1	no	—
474	C₇×C₂²⋊C₄	—	2	2	no	—
475	C₇×C₂²⋊C₄	—	2	2	no	—
476	C₇×C₂²⋊C₄	—	4	1	no	—
477	C₇×C₂²⋊C₄	—	4	1	no	—
478	C₇×C₂²⋊C₄	—	4	1	no	—
479	C₇×C₂²⋊C₄	—	4	1	no	—
480	C₄²×C₇	—	4	1	no	—
481	C₄²×C₇	—	4	1	no	—
482	C₂²⋊Dic₇	—	2	2	no	—
483	C₂²⋊Dic₇	—	2	2	no	—
484	C₂²⋊Dic₇	—	2	2	no	—
485	C₂²⋊Dic₇	—	2	2	no	—
486	C₂²⋊Dic₇	—	4	1	no	—
487	C₂²⋊Dic₇	—	4	1	no	—
488	(C₂×D₇)⋊C₄	—	2	2	no	—
489	(C₂×D₇)⋊C₄	—	2	2	no	—
490	(C₂×D₇)⋊C₄	—	2	2	no	—
491	(C₂×D₇)⋊C₄	—	2	2	no	—
492	(C₂×D₇)⋊C₄	—	2	2	no	—
493	(C₂×D₇)⋊C₄	—	2	2	no	—
494	(C₂×D₇)⋊C₄	—	2	2	no	—
495	(C₂×D₇)⋊C₄	—	2	2	no	—
496	(C₂×D₇)⋊C₄	—	2	2	no	—
497	(C₂×D₇)⋊C₄	—	2	2	no	—
498	(C₂×D₇)⋊C₄	—	2	2	no	—
499	(C₂×D₇)⋊C₄	—	2	2	no	—
500	(C₂×D₇)⋊C₄	—	2	2	no	—
501	(C₂×D₇)⋊C₄	—	2	2	no	—
502	(C₂×D₇)⋊C₄	—	4	1	no	—
503	(C₂×D₇)⋊C₄	—	4	1	no	—
504	(C₂×D₇)⋊C₄	—	4	1	no	—
505	(C₂×D₇)⋊C₄	—	4	1	no	—
506	(C₂×D₇)⋊C₄	—	4	1	no	—
507	(C₂×D₇)⋊C₄	—	4	1	no	—
508	C₄⋊Dic₇	—	2	2	no	—
509	C₄⋊Dic₇	—	2	2	no	—
510	C₄⋊Dic₇	—	4	1	no	—
511	C₄⋊Dic₇	—	4	1	no	—
512	C₄⋊Dic₇	—	4	1	no	—
513	C₄⋊Dic₇	—	4	1	no	—
514	C₄⋊Dic₇	—	4	1	no	—
515	C₄⋊Dic₇	—	4	1	no	—
516	C₄⋊Dic₇	—	4	1	no	—
517	C₄⋊Dic₇	—	4	1	no	—
518	C₄⋊Dic₇	—	4	1	no	—
519	C₄⋊Dic₇	—	4	1	no	—
520	Dic₇⋊C₄	—	2	2	no	—
521	Dic₇⋊C₄	—	2	2	no	—
522	Dic₇⋊C₄	—	4	1	no	—
523	Dic₇⋊C₄	—	4	1	no	—
524	Dic₇⋊C₄	—	4	1	no	—
525	Dic₇⋊C₄	—	4	1	no	—
526	Dic₇⋊C₄	—	4	1	no	—
527	Dic₇⋊C₄	—	4	1	no	—
528	Dic₇⋊C₄	—	4	1	no	—
529	Dic₇⋊C₄	—	4	1	no	—
530	Dic₇⋊C₄	—	4	1	no	—
531	Dic₇⋊C₄	—	4	1	no	—
532	Dic₇⋊C₄	—	4	1	no	—
533	Dic₇⋊C₄	—	4	1	no	—
534	Dic₇⋊C₄	—	4	1	no	—
535	Dic₇⋊C₄	—	4	1	no	—
536	Dic₇⋊C₄	—	4	1	no	—
537	Dic₇⋊C₄	—	4	1	no	—
538	Dic₇⋊C₄	—	4	1	no	—
539	Dic₇⋊C₄	—	4	1	no	—
540	C₄×Dic₇	—	4	1	no	—
541	C₄×Dic₇	—	4	1	no	—
542	C₄×Dic₇	—	4	1	no	—
543	C₄×Dic₇	—	4	1	no	—
544	C₄×Dic₇	—	4	1	no	—
545	C₄×Dic₇	—	4	1	no	—
546	C₂⁴×C₄	—	7	1	no	—
547	C₂×#126	—	7	1	no	—
548	C₂×#126	—	7	1	no	—
549	C₂×#126	—	7	1	no	—
550	C₂×#126	—	7	1	no	—
551	C₂×C₂²⋊Q₈	—	7	1	no	—
552	C₂×C₂²⋊Q₈	—	7	1	no	—
553	C₂×C₂²⋊Q₈	—	7	1	no	—
554	C₂×C₂²⋊Q₈	—	7	1	no	—
555	C₂×C₂²⋊Q₈	—	7	1	no	—
556	C₂×C₂²⋊Q₈	—	7	1	no	—
557	C₂²×C₂²⋊C₄	—	7	1	no	—
558	C₂²×C₂²⋊C₄	—	7	1	no	—
559	#400	—	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	#400	—	7	1	no	—
568	#400	—	7	1	no	—
569	#400	—	7	1	no	—
570	#400	—	7	1	no	—
571	#400	—	7	1	no	—
572	#400	—	7	1	no	—
573	#400	C₂×D₇	1	1	yes	characteristic, complemented
574	#400	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
583	#398	—	7	1	no	—
584	#398	—	7	1	no	—
585	#398	C₂×D₇	1	1	yes	characteristic, complemented
586	#398	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
594	#397	—	7	1	no	—
595	#397	—	7	1	no	—
596	#397	—	7	1	no	—
597	#397	—	7	1	no	—
598	#397	C₂×D₇	1	1	yes	characteristic
599	#396	—	7	1	no	—
600	#396	—	7	1	no	—
601	#396	—	7	1	no	—
602	#396	C₂×D₇	1	1	yes	characteristic
603	#395	—	7	1	no	—
604	#395	—	7	1	no	—
605	#395	—	7	1	no	—
606	#395	—	7	1	no	—
607	#391	—	7	1	no	—
608	#391	—	7	1	no	—
609	#391	—	7	1	no	—
610	#391	—	7	1	no	—
611	#389	—	7	1	no	—
612	#389	—	7	1	no	—
613	#389	—	7	1	no	—
614	#389	—	7	1	no	—
615	#389	—	7	1	no	—
616	#389	—	7	1	no	—
617	#389	—	7	1	no	—
618	#389	—	7	1	no	—
619	#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	—	7	1	no	—
626	#388	—	7	1	no	—
627	#388	—	7	1	no	—
628	#388	—	7	1	no	—
629	#388	C₂×D₇	1	1	yes	characteristic
630	#388	C₂×D₇	1	1	yes	characteristic
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	C₂×D₇	1	1	yes	characteristic, complemented
645	#387	C₂×D₇	1	1	yes	characteristic, complemented
646	#387	C₂×D₇	1	1	yes	characteristic, complemented
647	#385	—	7	1	no	—
648	#385	—	7	1	no	—
649	#385	—	7	1	no	—
650	#385	—	7	1	no	—
651	#385	—	7	1	no	—
652	#385	—	7	1	no	—
653	#385	—	7	1	no	—
654	#385	—	7	1	no	—
655	#385	—	7	1	no	—
656	#385	—	7	1	no	—
657	#385	—	7	1	no	—
658	#385	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
667	#382	—	7	1	no	—
668	#382	—	7	1	no	—
669	#382	—	7	1	no	—
670	#382	C₂×D₇	1	1	yes	characteristic, complemented
671	#381	—	7	1	no	—
672	#381	—	7	1	no	—
673	#381	—	7	1	no	—
674	#381	—	7	1	no	—
675	#381	—	7	1	no	—
676	#381	—	7	1	no	—
677	#381	—	7	1	no	—
678	#381	C₂×D₇	1	1	yes	characteristic
679	#380	—	7	1	no	—
680	#380	—	7	1	no	—
681	#380	—	7	1	no	—
682	#380	—	7	1	no	—
683	#380	—	7	1	no	—
684	#380	—	7	1	no	—
685	#380	—	7	1	no	—
686	#380	—	7	1	no	—
687	#380	—	7	1	no	—
688	#380	C₂×D₇	1	1	yes	characteristic
689	#379	—	7	1	no	—
690	#379	—	7	1	no	—
691	#379	—	7	1	no	—
692	#379	—	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	C₄×C₂²⋊C₄	—	7	1	no	—
697	C₂×#95	—	7	1	no	—
698	C₂×#95	—	7	1	no	—
699	C₂×#95	—	7	1	no	—
700	C₂×#95	—	7	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	H(5,𝔽₂)	1	2	yes	—
708	C₂³×C₇	C₂⁵	1	1	yes	characteristic
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	8	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	—	4	4	no	—
721	C₂²×D₇	—	4	4	no	—
722	C₂²×D₇	—	4	4	no	—
723	C₂²×D₇	—	4	4	no	—
724	C₂²×D₇	—	4	4	no	—
725	C₂²×D₇	—	4	4	no	—
726	C₂²×D₇	C₂×#41	1	2	yes	—
727	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
728	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
729	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
761	C₂×C₄×C₇	—	2	1	no	—
762	C₂×C₄×C₇	—	2	1	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	4	4	no	—
772	C₂×C₄×C₇	C₂×#41	1	2	yes	—
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	—	2	1	no	—
804	C₂×Dic₇	—	2	1	no	—
805	C₂×Dic₇	—	2	1	no	—
806	C₂×Dic₇	—	2	1	no	—
807	C₂×Dic₇	—	2	1	no	—
808	C₂×Dic₇	—	2	1	no	—
809	C₂×Dic₇	—	2	1	no	—
810	C₂×Dic₇	—	2	1	no	—
811	C₂×Dic₇	—	2	1	no	—
812	C₂×Dic₇	—	2	1	no	—
813	C₂×Dic₇	—	2	1	no	—
814	C₂×Dic₇	—	4	4	no	—
815	C₂×Dic₇	C₂×#41	1	2	yes	—
816	C₄×D₇	—	4	4	no	—
817	C₄×D₇	—	4	4	no	—
818	C₄×D₇	—	4	4	no	—
819	C₄×D₇	—	4	4	no	—
820	C₄×D₇	—	8	2	no	—
821	C₄×D₇	—	8	2	no	—
822	C₄×D₇	—	8	2	no	—
823	C₄×D₇	—	8	2	no	—
824	Dic₁₄	—	8	2	no	—
825	Dic₁₄	—	8	2	no	—
826	C₂⁵	—	7	1	no	—
827	C₂²×Q₈	—	7	1	no	—
828	C₂²×Q₈	—	7	1	no	—
829	C₂³×C₄	—	7	1	no	—
830	C₂³×C₄	—	7	1	no	—
831	C₂³×C₄	—	7	1	no	—
832	C₂³×C₄	—	7	1	no	—
833	C₂³×C₄	—	7	1	no	—
834	C₂³×C₄	—	7	1	no	—
835	C₂³×C₄	—	7	1	no	—
836	C₂³×C₄	—	7	1	no	—
837	C₂³×C₄	—	7	1	no	—
838	C₂³×C₄	—	14	4	no	—
839	C₂³×C₄	—	28	2	no	—
840	C₂³×C₄	—	28	2	no	—
841	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
842	#126	—	28	2	no	—
843	#126	—	28	2	no	—
844	#126	—	28	2	no	—
845	#126	—	28	2	no	—
846	C₂²⋊Q₈	—	14	4	no	—
847	C₂²⋊Q₈	—	14	4	no	—
848	C₂²⋊Q₈	—	28	2	no	—
849	C₂²⋊Q₈	—	28	2	no	—
850	C₂²⋊Q₈	—	28	2	no	—
851	C₂²⋊Q₈	—	28	2	no	—
852	C₂×C₄⋊C₄	—	7	1	no	—
853	C₂×C₄⋊C₄	—	7	1	no	—
854	C₂×C₄⋊C₄	—	7	1	no	—
855	C₂×C₄⋊C₄	—	7	1	no	—
856	C₂×C₄⋊C₄	—	7	1	no	—
857	C₂×C₄⋊C₄	—	7	1	no	—
858	C₂×C₄⋊C₄	—	7	1	no	—
859	C₂×C₄⋊C₄	—	7	1	no	—
860	C₂×C₄⋊C₄	—	7	1	no	—
861	C₂×C₄⋊C₄	—	7	1	no	—
862	C₂×C₄⋊C₄	—	7	1	no	—
863	C₂×C₄⋊C₄	—	7	1	no	—
864	C₂×C₄⋊C₄	—	7	1	no	—
865	C₂×C₄⋊C₄	—	7	1	no	—
866	C₂×C₄⋊C₄	—	7	1	no	—
867	C₂×C₄⋊C₄	—	7	1	no	—
868	C₂×C₄⋊C₄	—	7	1	no	—
869	C₂×C₄⋊C₄	—	7	1	no	—
870	C₂×C₄⋊C₄	—	7	1	no	—
871	C₂×C₄⋊C₄	—	7	1	no	—
872	C₂×C₄⋊C₄	—	7	1	no	—
873	C₂×C₄⋊C₄	—	7	1	no	—
874	C₂×C₄⋊C₄	—	7	1	no	—
875	C₂×C₄⋊C₄	—	7	1	no	—
876	C₂×C₄⋊C₄	—	7	1	no	—
877	C₂×C₄⋊C₄	—	7	1	no	—
878	C₂×C₄⋊C₄	—	7	1	no	—
879	C₂×C₄⋊C₄	—	7	1	no	—
880	C₂×C₄⋊C₄	—	7	1	no	—
881	C₂×C₄⋊C₄	—	7	1	no	—
882	C₂×C₄⋊C₄	—	7	1	no	—
883	C₂×C₄⋊C₄	—	7	1	no	—
884	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
907	C₂×C₂²⋊C₄	—	7	1	no	—
908	C₂×C₂²⋊C₄	—	7	1	no	—
909	C₂×C₂²⋊C₄	—	7	1	no	—
910	C₂×C₂²⋊C₄	—	7	1	no	—
911	C₂×C₂²⋊C₄	—	7	1	no	—
912	C₂×C₂²⋊C₄	—	7	1	no	—
913	C₂×C₂²⋊C₄	—	7	1	no	—
914	C₂×C₂²⋊C₄	—	7	1	no	—
915	C₂×C₂²⋊C₄	—	7	1	no	—
916	C₂×C₂²⋊C₄	—	7	1	no	—
917	C₂×C₂²⋊C₄	—	7	1	no	—
918	C₂×C₂²⋊C₄	—	7	1	no	—
919	C₂×C₂²⋊C₄	—	7	1	no	—
920	C₂×C₂²⋊C₄	—	28	2	no	—
921	C₂×C₂²⋊C₄	—	28	2	no	—
922	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	—	7	1	no	—
959	#95	—	7	1	no	—
960	#95	—	7	1	no	—
961	#95	—	7	1	no	—
962	#95	—	7	1	no	—
963	#95	—	7	1	no	—
964	#95	—	7	1	no	—
965	#95	—	7	1	no	—
966	#95	—	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	—	7	1	no	—
974	#95	—	7	1	no	—
975	#95	—	7	1	no	—
976	#95	—	7	1	no	—
977	#95	—	7	1	no	—
978	#95	—	7	1	no	—
979	#95	—	7	1	no	—
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	#95	C₂²×D₇	1	1	yes	characteristic
986	#95	C₂²×D₇	1	1	yes	characteristic
987	#95	C₂²×D₇	1	1	yes	characteristic
988	#95	C₂²×D₇	1	1	yes	characteristic
989	#95	C₂²×D₇	1	1	yes	characteristic
990	#95	C₂²×D₇	1	1	yes	characteristic
991	#95	C₂²×D₇	1	1	yes	characteristic
992	#95	C₂²×D₇	1	1	yes	characteristic
993	#95	C₂²×D₇	1	1	yes	characteristic
994	#95	C₂²×D₇	1	1	yes	characteristic
995	#95	C₂²×D₇	1	1	yes	characteristic
996	C₂²×C₇	—	2	2	no	—
997	C₂²×C₇	—	2	2	no	—
998	C₂²×C₇	—	2	2	no	—
999	C₂²×C₇	—	4	1	no	—
1000	C₂²×C₇	—	4	1	no	—
1001	C₂²×C₇	—	4	1	no	—
1002	C₂²×C₇	—	4	1	no	—
1003	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1004	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1005	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1006	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1007	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1008	C₂²×C₇	#585	1	1	yes	characteristic
1009	C₂²×C₇	#585	1	1	yes	characteristic
1010	C₂×D₇	—	2	2	no	—
1011	C₂×D₇	—	2	2	no	—
1012	C₂×D₇	—	2	2	no	—
1013	C₂×D₇	—	2	2	no	—
1014	C₂×D₇	—	2	2	no	—
1015	C₂×D₇	—	2	2	no	—
1016	C₂×D₇	—	2	2	no	—
1017	C₂×D₇	—	2	2	no	—
1018	C₂×D₇	—	2	2	no	—
1019	C₂×D₇	—	4	16	no	—
1020	C₂×D₇	—	4	1	no	—
1021	C₂×D₇	—	4	1	no	—
1022	C₂×D₇	—	4	1	no	—
1023	C₂×D₇	—	4	1	no	—
1024	C₂×D₇	#541	1	4	yes	—
1025	C₄×C₇	—	2	2	no	—
1026	C₄×C₇	—	4	1	no	—
1027	C₄×C₇	—	4	1	no	—
1028	C₄×C₇	—	4	1	no	—
1029	C₄×C₇	—	4	1	no	—
1030	C₄×C₇	—	4	1	no	—
1031	C₄×C₇	—	4	1	no	—
1032	C₄×C₇	—	4	1	no	—
1033	C₄×C₇	—	4	1	no	—
1034	C₄×C₇	—	4	1	no	—
1035	C₄×C₇	—	4	1	no	—
1036	C₄×C₇	—	4	1	no	—
1037	C₄×C₇	—	4	1	no	—
1038	C₄×C₇	—	4	1	no	—
1039	Dic₇	—	2	2	no	—
1040	Dic₇	—	4	1	no	—
1041	Dic₇	—	4	1	no	—
1042	Dic₇	—	4	1	no	—
1043	Dic₇	—	4	1	no	—
1044	Dic₇	—	4	1	no	—
1045	Dic₇	—	4	1	no	—
1046	Dic₇	—	4	1	no	—
1047	Dic₇	—	4	1	no	—
1048	Dic₇	—	4	1	no	—
1049	Dic₇	—	4	1	no	—
1050	Dic₇	—	4	1	no	—
1051	Dic₇	—	4	1	no	—
1052	Dic₇	—	4	1	no	—
1053	C₂⁴	—	7	1	no	—
1054	C₂⁴	—	7	1	no	—
1055	C₂⁴	—	14	2	no	—
1056	C₂⁴	—	14	2	no	—
1057	C₂⁴	—	14	2	no	—
1058	C₂⁴	—	14	2	no	—
1059	C₂⁴	—	14	2	no	—
1060	C₂⁴	—	28	1	no	—
1061	C₂⁴	—	28	1	no	—
1062	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1063	C₂×Q₈	—	14	2	no	—
1064	C₂×Q₈	—	14	2	no	—
1065	C₂×Q₈	—	28	1	no	—
1066	C₂×Q₈	—	28	1	no	—
1067	C₂×Q₈	—	28	1	no	—
1068	C₂×Q₈	—	28	1	no	—
1069	C₂²×C₄	—	2	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	7	1	no	—
1073	C₂²×C₄	—	7	4	no	—
1074	C₂²×C₄	—	7	1	no	—
1075	C₂²×C₄	—	7	1	no	—
1076	C₂²×C₄	—	7	1	no	—
1077	C₂²×C₄	—	7	1	no	—
1078	C₂²×C₄	—	7	1	no	—
1079	C₂²×C₄	—	7	1	no	—
1080	C₂²×C₄	—	7	1	no	—
1081	C₂²×C₄	—	7	1	no	—
1082	C₂²×C₄	—	7	1	no	—
1083	C₂²×C₄	—	7	1	no	—
1084	C₂²×C₄	—	7	1	no	—
1085	C₂²×C₄	—	7	1	no	—
1086	C₂²×C₄	—	7	1	no	—
1087	C₂²×C₄	—	14	2	no	—
1088	C₂²×C₄	—	14	2	no	—
1089	C₂²×C₄	—	14	2	no	—
1090	C₂²×C₄	—	14	2	no	—
1091	C₂²×C₄	—	14	2	no	—
1092	C₂²×C₄	—	14	2	no	—
1093	C₂²×C₄	—	14	2	no	—
1094	C₂²×C₄	—	14	2	no	—
1095	C₂²×C₄	—	14	2	no	—
1096	C₂²×C₄	—	14	2	no	—
1097	C₂²×C₄	—	14	2	no	—
1098	C₂²×C₄	—	28	1	no	—
1099	C₂²×C₄	—	28	1	no	—
1100	C₂²×C₄	—	28	1	no	—
1101	C₂²×C₄	—	28	1	no	—
1102	C₂²×C₄	—	28	1	no	—
1103	C₂²×C₄	—	28	1	no	—
1104	C₂²×C₄	—	28	1	no	—
1105	C₂²×C₄	—	28	1	no	—
1106	C₂²×C₄	—	28	1	no	—
1107	C₂²×C₄	—	28	1	no	—
1108	C₂²×C₄	—	28	1	no	—
1109	C₂²×C₄	—	28	1	no	—
1110	C₂²×C₄	—	28	1	no	—
1111	C₂²×C₄	—	28	1	no	—
1112	C₂²×C₄	—	28	16	no	—
1113	C₂²×C₄	—	28	1	no	—
1114	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	14	2	no	—
1139	C₄⋊C₄	—	14	2	no	—
1140	C₄⋊C₄	—	14	2	no	—
1141	C₄⋊C₄	—	14	2	no	—
1142	C₄⋊C₄	—	28	1	no	—
1143	C₄⋊C₄	—	28	1	no	—
1144	C₄⋊C₄	—	28	1	no	—
1145	C₄⋊C₄	—	28	1	no	—
1146	C₄⋊C₄	—	28	1	no	—
1147	C₄⋊C₄	—	28	1	no	—
1148	C₄⋊C₄	—	28	1	no	—
1149	C₄⋊C₄	—	28	1	no	—
1150	C₄⋊C₄	—	28	1	no	—
1151	C₄⋊C₄	—	28	1	no	—
1152	C₄⋊C₄	—	28	1	no	—
1153	C₄⋊C₄	—	28	1	no	—
1154	C₄⋊C₄	—	28	1	no	—
1155	C₄⋊C₄	—	28	1	no	—
1156	C₄⋊C₄	—	28	1	no	—
1157	C₄⋊C₄	—	28	1	no	—
1158	C₄⋊C₄	—	28	1	no	—
1159	C₄⋊C₄	—	28	1	no	—
1160	C₄⋊C₄	—	28	1	no	—
1161	C₄⋊C₄	—	28	1	no	—
1162	C₄⋊C₄	—	28	1	no	—
1163	C₄⋊C₄	—	28	1	no	—
1164	C₄⋊C₄	—	28	1	no	—
1165	C₄⋊C₄	—	28	1	no	—
1166	C₄⋊C₄	—	28	1	no	—
1167	C₄⋊C₄	—	28	1	no	—
1168	C₄⋊C₄	—	28	1	no	—
1169	C₄⋊C₄	—	28	1	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	14	2	no	—
1177	C₂²⋊C₄	—	14	2	no	—
1178	C₂²⋊C₄	—	14	2	no	—
1179	C₂²⋊C₄	—	14	2	no	—
1180	C₂²⋊C₄	—	14	2	no	—
1181	C₂²⋊C₄	—	14	2	no	—
1182	C₂²⋊C₄	—	14	2	no	—
1183	C₂²⋊C₄	—	14	2	no	—
1184	C₂²⋊C₄	—	14	2	no	—
1185	C₂²⋊C₄	—	14	2	no	—
1186	C₂²⋊C₄	—	14	2	no	—
1187	C₂²⋊C₄	—	14	2	no	—
1188	C₂²⋊C₄	—	14	2	no	—
1189	C₂²⋊C₄	—	14	2	no	—
1190	C₂²⋊C₄	—	14	2	no	—
1191	C₂²⋊C₄	—	14	2	no	—
1192	C₂²⋊C₄	—	14	2	no	—
1193	C₂²⋊C₄	—	14	2	no	—
1194	C₂²⋊C₄	—	28	1	no	—
1195	C₂²⋊C₄	—	28	1	no	—
1196	C₂²⋊C₄	—	28	1	no	—
1197	C₂²⋊C₄	—	28	1	no	—
1198	C₂²⋊C₄	—	28	1	no	—
1199	C₂²⋊C₄	—	28	1	no	—
1200	C₂²⋊C₄	—	28	1	no	—
1201	C₂²⋊C₄	—	28	1	no	—
1202	C₄²	—	4	1	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	28	1	no	—
1205	C₄²	—	28	1	no	—
1206	C₄²	—	28	1	no	—
1207	C₄²	—	28	1	no	—
1208	C₄²	—	28	1	no	—
1209	C₄²	—	28	1	no	—
1210	C₂×C₇	—	4	2	no	—
1211	C₂×C₇	C₂×#541	1	1	yes	characteristic
1212	C₂×C₇	#3490	1	1	yes	characteristic
1213	C₂×C₇	#3493	1	1	yes	characteristic
1214	C₂×C₇	#3535	1	1	yes	characteristic
1215	C₂×C₇	#3535	1	1	yes	characteristic
1216	C₂×C₇	#3535	1	1	yes	characteristic
1217	C₂×C₇	#3535	1	1	yes	characteristic
1218	D₇	—	2	4	no	—
1219	D₇	—	4	2	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	7	2	no	—
1227	C₂³	—	7	2	no	—
1228	C₂³	—	7	2	no	—
1229	C₂³	—	7	2	no	—
1230	C₂³	—	14	8	no	—
1231	C₂³	—	14	1	no	—
1232	C₂³	—	14	1	no	—
1233	C₂³	—	14	1	no	—
1234	C₂³	—	14	1	no	—
1235	C₂³	—	14	1	no	—
1236	C₂³	—	14	1	no	—
1237	C₂³	—	14	1	no	—
1238	C₂³	—	14	1	no	—
1239	C₂³	—	14	1	no	—
1240	C₂³	—	14	1	no	—
1241	C₂³	—	28	4	no	—
1242	C₂³	—	28	4	no	—
1243	C₂³	—	28	4	no	—
1244	C₂³	—	28	4	no	—
1245	C₂³	—	28	4	no	—
1246	C₂³	—	28	4	no	—
1247	C₂³	#6553	1	2	yes	—
1248	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1249	Q₈	—	56	2	no	—
1250	Q₈	—	56	2	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	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	4	4	no	—
1293	C₂×C₄	—	7	2	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	—	14	1	no	—
1315	C₂×C₄	—	14	1	no	—
1316	C₂×C₄	—	14	1	no	—
1317	C₂×C₄	—	14	1	no	—
1318	C₂×C₄	—	14	1	no	—
1319	C₂×C₄	—	14	1	no	—
1320	C₂×C₄	—	14	1	no	—
1321	C₂×C₄	—	14	1	no	—
1322	C₂×C₄	—	14	1	no	—
1323	C₂×C₄	—	14	1	no	—
1324	C₂×C₄	—	14	1	no	—
1325	C₂×C₄	—	14	1	no	—
1326	C₂×C₄	—	14	1	no	—
1327	C₂×C₄	—	14	1	no	—
1328	C₂×C₄	—	14	1	no	—
1329	C₂×C₄	—	14	1	no	—
1330	C₂×C₄	—	14	1	no	—
1331	C₂×C₄	—	14	1	no	—
1332	C₂×C₄	—	14	1	no	—
1333	C₂×C₄	—	14	1	no	—
1334	C₂×C₄	—	14	1	no	—
1335	C₂×C₄	—	28	4	no	—
1336	C₂×C₄	—	28	4	no	—
1337	C₂×C₄	—	28	4	no	—
1338	C₂×C₄	—	28	4	no	—
1339	C₂×C₄	—	28	4	no	—
1340	C₂×C₄	—	56	2	no	—
1341	C₂×C₄	—	56	2	no	—
1342	C₂×C₄	—	56	2	no	—
1343	C₂×C₄	—	56	2	no	—
1344	C₂×C₄	D₇×#41	1	2	yes	—
1345	C₇	#36732	1	1	yes	characteristic, complemented, Sylow
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	7	4	no	—
1354	C₂²	—	14	2	no	—
1355	C₂²	—	14	2	no	—
1356	C₂²	—	14	2	no	—
1357	C₂²	—	14	2	no	—
1358	C₂²	—	14	2	no	—
1359	C₂²	—	14	2	no	—
1360	C₂²	—	14	2	no	—
1361	C₂²	—	14	2	no	—
1362	C₂²	—	14	2	no	—
1363	C₂²	—	28	16	no	—
1364	C₂²	—	28	1	no	—
1365	C₂²	—	28	1	no	—
1366	C₂²	—	28	1	no	—
1367	C₂²	—	28	1	no	—
1368	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1369	C₂²	C₂×#6553	1	1	yes	characteristic
1370	C₂²	#90616	1	1	yes	characteristic
1371	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1372	C₂²	#90618	1	1	yes	characteristic
1373	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1374	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1375	C₄	—	2	2	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	14	2	no	—
1390	C₄	—	28	1	no	—
1391	C₄	—	28	1	no	—
1392	C₄	—	28	1	no	—
1393	C₄	—	28	1	no	—
1394	C₄	—	28	1	no	—
1395	C₄	—	28	1	no	—
1396	C₄	—	28	1	no	—
1397	C₄	—	28	1	no	—
1398	C₄	—	28	1	no	—
1399	C₄	—	28	1	no	—
1400	C₄	—	28	1	no	—
1401	C₄	—	28	1	no	—
1402	C₄	—	28	1	no	—
1403	C₂	—	4	2	no	—
1404	C₂	—	14	4	no	—
1405	C₂	—	28	2	no	—
1406	C₂	#11743528	1	1	yes	characteristic
1407	C₂	#11743530	1	1	yes	characteristic
1408	C₂	D₇×#541	1	1	yes	characteristic
1409	C₂	#11743883	1	1	yes	characteristic
1410	C₂	#11743912	1	1	yes	characteristic
1411	C₂	#11744040	1	1	yes	characteristic
1412	C₂	#11744178	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2744	C₂
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2744	D₇
hypocenter	C₇	#36732
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2744

Complements

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

N	H ≅ G/N	type
1. C₇×#2744	C₂	semidirect
2. #11735830	C₂	semidirect
3. #11735829	C₂	semidirect
4. #11735797	C₂	semidirect
5. #11735797	C₂	semidirect
6. #11735434	C₂	semidirect
7. #11735418	C₂	semidirect
8. #11735411	C₂	semidirect
9. #11735410	C₂	semidirect
10. #11735015	C₂	semidirect
12. #11734818	C₂	semidirect
14. #11733161	C₂	semidirect
15. #11733116	C₂	semidirect
18. #11732851	C₂	semidirect
19. #11732840	C₂	semidirect
20. #11732837	C₂	semidirect
21. #11732786	C₂	semidirect
22. #11732745	C₂	semidirect
23. #11732744	C₂	semidirect
25. #11731966	C₂	semidirect
26. #11731692	C₂	semidirect
27. #11731681	C₂	semidirect
29. #11731541	C₂	semidirect
31. #11731426	C₂	semidirect
45. C₇×#400	C₂²	semidirect
46. C₇×#400	C₂²	semidirect
47. C₇×#398	C₂²	semidirect
48. C₇×#398	C₂²	semidirect
53. C₇×#387	C₂²	semidirect
54. C₇×#387	C₂²	semidirect
55. C₇×#387	C₂²	semidirect
57. C₇×#382	C₂²	semidirect
77. #89758	C₂²	semidirect
78. #89757	C₂²	semidirect
79. #89757	C₂²	semidirect
80. #89757	C₂²	semidirect
81. #89756	C₂²	semidirect
82. #89756	C₂²	semidirect
83. #89756	C₂²	semidirect
84. #89756	C₂²	semidirect
85. #89755	C₂²	semidirect
86. #89754	C₂²	semidirect
87. #89753	C₂²	semidirect
88. #89753	C₂²	semidirect
89. #89753	C₂²	semidirect
90. #89752	C₂²	semidirect
91. #89752	C₂²	semidirect
92. #89752	C₂²	semidirect
93. #89751	C₂²	semidirect
94. #89750	C₂²	semidirect
95. #89750	C₂²	semidirect
96. #89745	C₂²	semidirect
119. #89705	C₂²	semidirect
120. #89701	C₂²	semidirect
121. #89700	C₂²	semidirect
122. #89700	C₂²	semidirect
155. #89432	C₂²	semidirect
156. #89432	C₂²	semidirect
157. #89432	C₂²	semidirect
158. #89432	C₂²	semidirect
159. #89432	C₂²	semidirect
160. #89432	C₂²	semidirect
161. #89431	C₂²	semidirect
162. #89431	C₂²	semidirect
163. #89431	C₂²	semidirect
164. #89430	C₂²	semidirect
165. #89430	C₂²	semidirect
166. #89430	C₂²	semidirect
167. #89429	C₂²	semidirect
168. #89429	C₂²	semidirect
169. #89428	C₂²	semidirect
170. #89428	C₂²	semidirect
171. #89428	C₂²	semidirect
172. #89427	C₂²	semidirect
173. #89426	C₂²	semidirect
174. #89426	C₂²	semidirect
175. #89426	C₂²	semidirect
176. #89425	C₂²	semidirect
177. #89424	C₂²	semidirect
178. #89424	C₂²	semidirect
179. #89422	C₂²	semidirect
180. #89422	C₂²	semidirect
181. #89422	C₂²	semidirect
182. #89419	C₂²	semidirect
183. #89419	C₂²	semidirect
184. #89418	C₂²	semidirect
185. #89418	C₂²	semidirect
186. #89418	C₂²	semidirect
363. #2744	D₇	semidirect
573. #400	C₂×D₇	semidirect
574. #400	C₂×D₇	semidirect
585. #398	C₂×D₇	semidirect
586. #398	C₂×D₇	semidirect
644. #387	C₂×D₇	semidirect
645. #387	C₂×D₇	semidirect
646. #387	C₂×D₇	semidirect
670. #382	C₂×D₇	semidirect
1345. C₇	#36732	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2744	2
#11735830	2
#11735829	2
#11735797	2
#11735434	2
#11735418	2
#11735411	2
#11735410	2
#11735015	2
#11734927	2
#11734818	2
#11734748	2
#11733161	2
#11733116	2
#11732985	2
#11732984	2
#11732851	2
#11732840	2
#11732837	2
#11732786	2
#11732745	2
#11732744	2
#11732100	2
#11731966	2
#11731692	2
#11731681	2
D₇×#381	2
#11731541	2
#11731494	2
#11731426	2
#36732	7