Subgroups — #13561453

Order 1792.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2549	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740261	C₂	1	1	yes	maximal, characteristic
3	#11740261	C₂	1	1	yes	maximal, characteristic
4	#11740256	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740234	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735449	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735426	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735368	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735333	C₂	1	1	yes	maximal, characteristic, complemented
10	#11734674	C₂	1	1	yes	maximal, characteristic, complemented
11	#11734668	C₂	1	1	yes	maximal, characteristic, complemented
12	#11734665	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734661	C₂	1	1	yes	maximal, characteristic, complemented
14	#11734100	C₂	1	1	yes	maximal, characteristic, complemented
15	#11734035	C₂	1	1	yes	maximal, characteristic, complemented
16	#11734031	C₂	1	1	yes	maximal, characteristic, complemented
17	#11734011	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733726	C₂	1	1	yes	maximal, characteristic, complemented
19	#11733712	C₂	1	1	yes	maximal, characteristic, complemented
20	#11733588	C₂	1	1	yes	maximal, characteristic, complemented
21	#11733564	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732052	C₂	1	1	yes	maximal, characteristic
23	#11732052	C₂	1	1	yes	maximal, characteristic
24	#11732031	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731949	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731450	C₂	1	1	yes	maximal, characteristic
27	#11731346	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731012	C₂	1	1	yes	maximal, characteristic
29	#11730940	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730802	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#89442	C₂	1	1	yes	maximal, characteristic
32	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×#6509	C₂²	1	1	yes	characteristic
35	C₂×#6509	C₂²	1	1	yes	characteristic
36	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
37	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
41	C₂×#6487	C₂²	1	1	yes	characteristic
42	C₂×#6487	C₂²	1	1	yes	characteristic
43	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
44	C₂×#6459	C₂²	1	1	yes	characteristic
45	C₂×#6459	C₂²	1	1	yes	characteristic
46	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
47	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
48	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
51	C₇×#398	C₂²	1	1	yes	characteristic, complemented
52	C₇×#398	C₂²	1	1	yes	characteristic, complemented
53	C₇×#395	C₂²	1	1	yes	characteristic, complemented
54	C₇×#395	C₂²	1	1	yes	characteristic, complemented
55	C₇×#391	C₂²	1	1	yes	characteristic, complemented
56	C₇×#391	C₂²	1	1	yes	characteristic, complemented
57	C₇×#389	C₂²	1	1	yes	characteristic, complemented
58	C₇×#389	C₂²	1	1	yes	characteristic, complemented
59	C₇×#385	C₂²	1	1	yes	characteristic
60	C₇×#385	C₂²	1	1	yes	characteristic
61	C₇×#380	C₂²	1	1	yes	characteristic
62	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₂×C₇×#95	C₂²	1	1	yes	characteristic
64	#90003	C₂²	1	1	yes	characteristic
65	#90003	C₂²	1	1	yes	characteristic
66	#90002	C₂²	1	1	yes	characteristic, complemented
67	#90001	C₂²	1	1	yes	characteristic, complemented
68	#90001	C₂²	1	1	yes	characteristic, complemented
69	#89984	C₂²	1	1	yes	characteristic
70	#89982	C₂²	1	1	yes	characteristic
71	#89982	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
73	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
74	#89766	C₂²	1	1	yes	characteristic
75	#89766	C₂²	1	1	yes	characteristic
76	#89766	C₂²	1	1	yes	characteristic
77	#89766	C₂²	1	1	yes	characteristic
78	#89766	C₂²	1	1	yes	characteristic
79	#89766	C₂²	1	1	yes	characteristic
80	#89764	C₂²	1	1	yes	characteristic
81	#89764	C₂²	1	1	yes	characteristic
82	#89764	C₂²	1	1	yes	characteristic
83	#89764	C₂²	1	1	yes	characteristic
84	#89761	C₂²	1	1	yes	characteristic
85	#89761	C₂²	1	1	yes	characteristic
86	#89761	C₂²	1	1	yes	characteristic
87	#89761	C₂²	1	1	yes	characteristic
88	#89761	C₂²	1	1	yes	characteristic
89	#89761	C₂²	1	1	yes	characteristic
90	#89761	C₂²	1	1	yes	characteristic
91	#89761	C₂²	1	1	yes	characteristic
92	#89761	C₂²	1	1	yes	characteristic
93	#89761	C₂²	1	1	yes	characteristic
94	#89759	C₂²	1	1	yes	characteristic
95	#89759	C₂²	1	1	yes	characteristic
96	#89757	C₂²	1	1	yes	characteristic, complemented
97	#89756	C₂²	1	1	yes	characteristic, complemented
98	#89755	C₂²	1	1	yes	characteristic, complemented
99	#89755	C₂²	1	1	yes	characteristic, complemented
100	#89755	C₂²	1	1	yes	characteristic, complemented
101	#89754	C₂²	1	1	yes	characteristic, complemented
102	#89753	C₂²	1	1	yes	characteristic, complemented
103	#89752	C₂²	1	1	yes	characteristic, complemented
104	#89752	C₂²	1	1	yes	characteristic, complemented
105	#89752	C₂²	1	1	yes	characteristic, complemented
106	#89751	C₂²	1	1	yes	characteristic, complemented
107	#89751	C₂²	1	1	yes	characteristic, complemented
108	#89750	C₂²	1	1	yes	characteristic, complemented
109	#89749	C₂²	1	1	yes	characteristic, complemented
110	#89748	C₂²	1	1	yes	characteristic, complemented
111	#89746	C₂²	1	1	yes	characteristic, complemented
112	#89745	C₂²	1	1	yes	characteristic, complemented
113	#89744	C₂²	1	1	yes	characteristic, complemented
114	#89744	C₂²	1	1	yes	characteristic, complemented
115	#89744	C₂²	1	1	yes	characteristic, complemented
116	#89744	C₂²	1	1	yes	characteristic, complemented
117	#89744	C₂²	1	1	yes	characteristic, complemented
118	#89727	C₂²	1	1	yes	characteristic
119	#89727	C₂²	1	1	yes	characteristic
120	#89722	C₂²	1	1	yes	characteristic
121	#89722	C₂²	1	1	yes	characteristic
122	#89718	C₂²	1	1	yes	characteristic
123	#89718	C₂²	1	1	yes	characteristic
124	#89714	C₂²	1	1	yes	characteristic
125	#89714	C₂²	1	1	yes	characteristic
126	#89714	C₂²	1	1	yes	characteristic
127	#89714	C₂²	1	1	yes	characteristic
128	#89714	C₂²	1	1	yes	characteristic
129	#89714	C₂²	1	1	yes	characteristic
130	#89714	C₂²	1	1	yes	characteristic
131	#89714	C₂²	1	1	yes	characteristic
132	#89712	C₂²	1	1	yes	characteristic
133	#89712	C₂²	1	1	yes	characteristic
134	#89712	C₂²	1	1	yes	characteristic
135	#89712	C₂²	1	1	yes	characteristic
136	#89708	C₂²	1	1	yes	characteristic, complemented
137	#89700	C₂²	1	1	yes	characteristic, complemented
138	#89700	C₂²	1	1	yes	characteristic, complemented
139	#89448	C₂²	1	1	yes	characteristic
140	#89448	C₂²	1	1	yes	characteristic
141	#89445	C₂²	1	1	yes	characteristic
142	#89445	C₂²	1	1	yes	characteristic
143	#89442	C₂²	1	1	yes	characteristic
144	#89442	C₂²	1	1	yes	characteristic
145	#89442	C₂²	1	1	yes	characteristic
146	#89442	C₂²	1	1	yes	characteristic
147	#89442	C₂²	1	1	yes	characteristic
148	#89442	C₂²	1	1	yes	characteristic
149	#89442	C₂²	1	1	yes	characteristic
150	#89442	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	#89440	C₂²	1	1	yes	characteristic
156	#89440	C₂²	1	1	yes	characteristic
157	#89440	C₂²	1	1	yes	characteristic
158	#89440	C₂²	1	1	yes	characteristic
159	#89440	C₂²	1	1	yes	characteristic
160	#89440	C₂²	1	1	yes	characteristic
161	#89439	C₂²	1	1	yes	characteristic
162	#89439	C₂²	1	1	yes	characteristic
163	#89433	C₂²	1	1	yes	characteristic, complemented
164	#89433	C₂²	1	1	yes	characteristic, complemented
165	#89432	C₂²	1	1	yes	characteristic, complemented
166	#89432	C₂²	1	1	yes	characteristic, complemented
167	#89432	C₂²	1	1	yes	characteristic, complemented
168	#89432	C₂²	1	1	yes	characteristic, complemented
169	#89431	C₂²	1	1	yes	characteristic, complemented
170	#89430	C₂²	1	1	yes	characteristic, complemented
171	#89430	C₂²	1	1	yes	characteristic, complemented
172	#89429	C₂²	1	1	yes	characteristic, complemented
173	#89429	C₂²	1	1	yes	characteristic, complemented
174	#89429	C₂²	1	1	yes	characteristic, complemented
175	#89429	C₂²	1	1	yes	characteristic, complemented
176	#89429	C₂²	1	1	yes	characteristic, complemented
177	#89428	C₂²	1	1	yes	characteristic, complemented
178	#89428	C₂²	1	1	yes	characteristic, complemented
179	#89425	C₂²	1	1	yes	characteristic, complemented
180	#89424	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	#89419	C₂²	1	1	yes	characteristic, complemented
185	#89418	C₂²	1	1	yes	characteristic, complemented
186	#89418	C₂²	1	1	yes	characteristic, complemented
187	#36750	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	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×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇	C₂³	1	1	yes	characteristic
196	C₂³×Dic₇	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×Dic₁₄	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
203	C₇×C₂²⋊Q₈	—	4	2	no	—
204	C₇×C₂²⋊Q₈	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₄⋊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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇	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	#6509	—	4	2	no	—
228	#6509	—	4	2	no	—
229	#6507	—	4	2	no	—
230	C₂×(C₂×D₇)⋊C₄	—	4	2	no	—
231	C₂×(C₂×D₇)⋊C₄	—	4	2	no	—
232	C₂×(C₂×D₇)⋊C₄	Q₈	1	8	yes	complemented
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×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇	—	4	2	no	—
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×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
270	#6487	—	4	2	no	—
271	#6487	—	4	2	no	—
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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₇	—	4	2	no	—
301	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
307	#6459	—	4	2	no	—
308	#6459	—	4	2	no	—
309	#6453	—	4	2	no	—
310	#6452	—	4	2	no	—
311	D₇×C₂²⋊C₄	—	4	2	no	—
312	D₇×C₂²⋊C₄	—	4	2	no	—
313	#6433	—	4	2	no	—
314	C₇×#95	C₂³	1	1	yes	characteristic
315	C₇×#95	C₂³	1	1	yes	characteristic
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	C₇⋊#95	C₂³	1	1	yes	characteristic
359	C₇⋊#95	C₂³	1	1	yes	characteristic
360	C₇⋊#95	C₂³	1	1	yes	characteristic
361	C₇⋊#95	C₂³	1	1	yes	characteristic
362	#2857	—	7	1	no	—
363	#2851	—	7	1	no	—
364	#2807	—	7	1	no	—
365	#2807	—	7	1	no	—
366	#2788	—	7	1	no	—
367	#2788	—	7	1	no	—
368	#2768	—	7	1	no	—
369	#2768	—	7	1	no	—
370	#2763	—	7	1	no	—
371	#2763	—	7	1	no	—
372	#2729	—	7	1	no	—
373	#2729	—	7	1	no	—
374	#2720	—	7	1	no	—
375	#2720	—	7	1	no	—
376	#2704	—	7	1	no	—
377	#2704	—	7	1	no	—
378	#2704	—	7	1	no	—
379	#2704	—	7	1	no	—
380	#2659	—	7	1	no	—
381	#2646	—	7	1	no	—
382	#2549	—	7	1	no	—
383	#2549	D₇	1	1	yes	characteristic, complemented
384	#2442	—	7	1	no	—
385	#2442	—	7	1	no	—
386	#2437	—	7	1	no	—
387	#2437	—	7	1	no	—
388	#2437	—	7	1	no	—
389	#2437	—	7	1	no	—
390	#2315	—	7	1	no	—
391	#2312	—	7	1	no	—
392	C₂×#388	—	7	1	no	—
393	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
394	C₂³×D₇	—	2	2	no	—
395	C₂³×D₇	—	2	2	no	—
396	C₂³×D₇	—	4	1	no	—
397	C₂³×D₇	—	4	1	no	—
398	C₂³×D₇	—	4	1	no	—
399	C₂³×D₇	—	4	1	no	—
400	C₂³×D₇	C₂×Q₈	1	4	yes	—
401	C₂³×D₇	C₂⁴	1	1	yes	characteristic
402	C₂³×D₇	C₂⁴	1	1	yes	characteristic
403	C₂×C₇×Q₈	—	2	2	no	—
404	C₂×C₇×Q₈	—	4	1	no	—
405	C₂×C₇×Q₈	—	4	1	no	—
406	C₂×C₇×Q₈	—	4	1	no	—
407	C₂×C₇×Q₈	—	4	1	no	—
408	C₂×C₇×Q₈	—	4	1	no	—
409	C₂²×C₄×C₇	—	2	2	no	—
410	C₂²×C₄×C₇	—	2	2	no	—
411	C₂²×C₄×C₇	—	2	2	no	—
412	C₂²×C₄×C₇	—	4	1	no	—
413	C₂²×C₄×C₇	—	4	1	no	—
414	C₂²×C₄×C₇	—	4	1	no	—
415	C₂²×C₄×C₇	—	4	1	no	—
416	C₂²×C₄×C₇	—	4	1	no	—
417	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
418	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇	—	2	2	no	—
433	C₂²×Dic₇	—	2	2	no	—
434	C₂²×Dic₇	—	2	2	no	—
435	C₂²×Dic₇	—	4	1	no	—
436	C₂²×Dic₇	—	4	1	no	—
437	C₂²×Dic₇	—	4	1	no	—
438	C₂²×Dic₇	—	4	1	no	—
439	C₂²×Dic₇	—	4	1	no	—
440	C₂²×Dic₇	C₂×Q₈	1	4	yes	—
441	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
455	C₂×C₄×D₇	—	4	1	no	—
456	C₂×C₄×D₇	—	4	1	no	—
457	C₂×C₄×D₇	—	4	1	no	—
458	C₂×C₄×D₇	—	4	1	no	—
459	C₂×C₄×D₇	—	4	1	no	—
460	C₂×C₄×D₇	—	4	1	no	—
461	C₂×C₄×D₇	—	4	1	no	—
462	C₂×C₄×D₇	—	4	1	no	—
463	C₂×C₄×D₇	—	4	1	no	—
464	C₂×C₄×D₇	—	4	1	no	—
465	C₂×C₄×D₇	—	4	1	no	—
466	C₂×C₄×D₇	—	4	1	no	—
467	C₂×Dic₁₄	—	2	2	no	—
468	C₂×Dic₁₄	—	4	1	no	—
469	C₂×Dic₁₄	—	4	1	no	—
470	C₂×Dic₁₄	—	4	1	no	—
471	C₂×Dic₁₄	—	4	1	no	—
472	C₂×Dic₁₄	—	4	1	no	—
473	C₇×C₄⋊C₄	—	2	2	no	—
474	C₇×C₄⋊C₄	—	4	1	no	—
475	C₇×C₄⋊C₄	—	4	1	no	—
476	C₇×C₄⋊C₄	—	4	1	no	—
477	C₇×C₄⋊C₄	—	4	1	no	—
478	C₇×C₄⋊C₄	—	4	1	no	—
479	C₇×C₄⋊C₄	—	4	1	no	—
480	C₇×C₄⋊C₄	—	4	1	no	—
481	C₇×C₄⋊C₄	—	4	1	no	—
482	C₇×C₄⋊C₄	—	4	1	no	—
483	C₇×C₄⋊C₄	—	4	1	no	—
484	C₇×C₄⋊C₄	—	4	1	no	—
485	C₇×C₂²⋊C₄	—	2	2	no	—
486	C₇×C₂²⋊C₄	—	2	2	no	—
487	C₇×C₂²⋊C₄	—	2	2	no	—
488	C₇×C₂²⋊C₄	—	2	2	no	—
489	C₄²×C₇	—	4	1	no	—
490	C₄²×C₇	—	4	1	no	—
491	C₂²⋊Dic₇	—	2	2	no	—
492	C₂²⋊Dic₇	—	2	2	no	—
493	C₂²⋊Dic₇	—	2	2	no	—
494	C₂²⋊Dic₇	—	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	—	4	1	no	—
500	(C₂×D₇)⋊C₄	—	4	1	no	—
501	(C₂×D₇)⋊C₄	—	4	1	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	(C₂×D₇)⋊C₄	—	4	1	no	—
509	(C₂×D₇)⋊C₄	—	4	1	no	—
510	(C₂×D₇)⋊C₄	—	4	1	no	—
511	(C₂×D₇)⋊C₄	—	4	1	no	—
512	(C₂×D₇)⋊C₄	—	4	1	no	—
513	(C₂×D₇)⋊C₄	—	4	1	no	—
514	(C₂×D₇)⋊C₄	—	4	1	no	—
515	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
516	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
517	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
518	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
519	C₄⋊Dic₇	—	2	2	no	—
520	C₄⋊Dic₇	—	2	2	no	—
521	C₄⋊Dic₇	—	2	2	no	—
522	C₄⋊Dic₇	—	4	1	no	—
523	C₄⋊Dic₇	—	4	1	no	—
524	C₄⋊Dic₇	—	4	1	no	—
525	C₄⋊Dic₇	—	4	1	no	—
526	C₄⋊Dic₇	—	4	1	no	—
527	C₄⋊Dic₇	—	4	1	no	—
528	C₄⋊Dic₇	—	4	1	no	—
529	C₄⋊Dic₇	—	4	1	no	—
530	C₄⋊Dic₇	—	4	1	no	—
531	Dic₇⋊C₄	—	2	2	no	—
532	Dic₇⋊C₄	—	2	2	no	—
533	Dic₇⋊C₄	—	2	2	no	—
534	Dic₇⋊C₄	—	2	2	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	Dic₇⋊C₄	—	4	1	no	—
541	Dic₇⋊C₄	—	4	1	no	—
542	Dic₇⋊C₄	—	4	1	no	—
543	Dic₇⋊C₄	—	4	1	no	—
544	Dic₇⋊C₄	—	4	1	no	—
545	Dic₇⋊C₄	—	4	1	no	—
546	Dic₇⋊C₄	—	4	1	no	—
547	Dic₇⋊C₄	—	4	1	no	—
548	Dic₇⋊C₄	—	4	1	no	—
549	Dic₇⋊C₄	—	4	1	no	—
550	Dic₇⋊C₄	—	4	1	no	—
551	Dic₇⋊C₄	—	4	1	no	—
552	Dic₇⋊C₄	—	4	1	no	—
553	Dic₇⋊C₄	—	4	1	no	—
554	Dic₇⋊C₄	—	4	1	no	—
555	Dic₇⋊C₄	—	4	1	no	—
556	Dic₇⋊C₄	—	4	1	no	—
557	Dic₇⋊C₄	—	4	1	no	—
558	Dic₇⋊C₄	—	4	1	no	—
559	C₄×Dic₇	—	2	2	no	—
560	C₄×Dic₇	—	2	2	no	—
561	C₄×Dic₇	—	4	1	no	—
562	C₄×Dic₇	—	4	1	no	—
563	C₄×Dic₇	—	4	1	no	—
564	C₄×Dic₇	—	4	1	no	—
565	C₂×C₄⋊Q₈	—	7	1	no	—
566	C₂×#125	—	7	1	no	—
567	C₂×#125	—	7	1	no	—
568	C₂×#125	—	7	1	no	—
569	C₂×C₂²⋊Q₈	—	7	1	no	—
570	C₂×C₂²⋊Q₈	—	7	1	no	—
571	C₂×C₂²⋊Q₈	—	7	1	no	—
572	C₂×C₂²⋊Q₈	—	7	1	no	—
573	C₂×C₂²⋊Q₈	—	7	1	no	—
574	C₂×C₂²⋊Q₈	—	7	1	no	—
575	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
576	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
577	C₂²×C₄⋊C₄	—	7	1	no	—
578	C₂²×C₂²⋊C₄	—	7	1	no	—
579	C₂²×C₂²⋊C₄	—	7	1	no	—
580	C₂²×C₂²⋊C₄	—	7	1	no	—
581	C₂²×C₂²⋊C₄	—	7	1	no	—
582	C₂²×C₂²⋊C₄	—	7	1	no	—
583	C₂²×C₄²	—	7	1	no	—
584	#400	—	7	1	no	—
585	#400	—	7	1	no	—
586	#400	—	7	1	no	—
587	#400	—	7	1	no	—
588	#400	—	7	1	no	—
589	#400	—	7	1	no	—
590	#400	—	7	1	no	—
591	#400	—	7	1	no	—
592	#399	—	7	1	no	—
593	#399	—	7	1	no	—
594	#399	—	7	1	no	—
595	#399	—	7	1	no	—
596	#398	—	7	1	no	—
597	#398	—	7	1	no	—
598	#398	—	7	1	no	—
599	#398	—	7	1	no	—
600	#398	—	7	1	no	—
601	#398	—	7	1	no	—
602	#398	—	7	1	no	—
603	#398	—	7	1	no	—
604	#398	—	7	1	no	—
605	#398	—	7	1	no	—
606	#398	—	7	1	no	—
607	#398	—	7	1	no	—
608	#398	—	7	1	no	—
609	#398	—	7	1	no	—
610	#398	C₂×D₇	1	1	yes	characteristic, complemented
611	#398	C₂×D₇	1	1	yes	characteristic, complemented
612	#396	—	7	1	no	—
613	#396	—	7	1	no	—
614	#396	—	7	1	no	—
615	#396	—	7	1	no	—
616	#396	—	7	1	no	—
617	#396	—	7	1	no	—
618	#396	—	7	1	no	—
619	#396	—	7	1	no	—
620	#395	—	7	1	no	—
621	#395	—	7	1	no	—
622	#395	—	7	1	no	—
623	#395	—	7	1	no	—
624	#395	—	7	1	no	—
625	#395	—	7	1	no	—
626	#395	C₂×D₇	1	1	yes	characteristic, complemented
627	#395	C₂×D₇	1	1	yes	characteristic, complemented
628	#393	—	7	1	no	—
629	#393	—	7	1	no	—
630	#393	—	7	1	no	—
631	#393	—	7	1	no	—
632	#391	—	7	1	no	—
633	#391	—	7	1	no	—
634	#391	—	7	1	no	—
635	#391	—	7	1	no	—
636	#391	C₂×D₇	1	1	yes	characteristic, complemented
637	#391	C₂×D₇	1	1	yes	characteristic, complemented
638	#389	—	7	1	no	—
639	#389	—	7	1	no	—
640	#389	—	7	1	no	—
641	#389	—	7	1	no	—
642	#389	—	7	1	no	—
643	#389	—	7	1	no	—
644	#389	—	7	1	no	—
645	#389	—	7	1	no	—
646	#389	—	7	1	no	—
647	#389	—	7	1	no	—
648	#389	—	7	1	no	—
649	#389	—	7	1	no	—
650	#389	C₂×D₇	1	1	yes	characteristic, complemented
651	#389	C₂×D₇	1	1	yes	characteristic, complemented
652	#388	—	7	1	no	—
653	#388	—	7	1	no	—
654	#388	—	7	1	no	—
655	#388	—	7	1	no	—
656	#388	—	7	1	no	—
657	#388	—	7	1	no	—
658	#388	—	7	1	no	—
659	#388	—	7	1	no	—
660	#388	—	7	1	no	—
661	#388	—	7	1	no	—
662	#388	—	7	1	no	—
663	#388	—	7	1	no	—
664	#388	—	7	1	no	—
665	#388	—	7	1	no	—
666	#388	—	7	1	no	—
667	#388	—	7	1	no	—
668	#387	—	7	1	no	—
669	#387	—	7	1	no	—
670	#387	—	7	1	no	—
671	#387	—	7	1	no	—
672	#385	—	7	1	no	—
673	#385	—	7	1	no	—
674	#385	—	7	1	no	—
675	#385	—	7	1	no	—
676	#385	—	7	1	no	—
677	#385	—	7	1	no	—
678	#385	—	7	1	no	—
679	#385	—	7	1	no	—
680	#385	—	7	1	no	—
681	#385	—	7	1	no	—
682	#385	—	7	1	no	—
683	#385	—	7	1	no	—
684	#385	—	7	1	no	—
685	#385	—	7	1	no	—
686	#385	—	7	1	no	—
687	#385	—	7	1	no	—
688	#385	—	7	1	no	—
689	#385	—	7	1	no	—
690	#385	—	7	1	no	—
691	#385	—	7	1	no	—
692	#385	—	7	1	no	—
693	#385	—	7	1	no	—
694	#385	C₂×D₇	1	1	yes	characteristic
695	#385	C₂×D₇	1	1	yes	characteristic
696	#384	—	7	1	no	—
697	#382	—	7	1	no	—
698	#382	—	7	1	no	—
699	#382	—	7	1	no	—
700	#380	—	7	1	no	—
701	#380	—	7	1	no	—
702	#380	—	7	1	no	—
703	#380	—	7	1	no	—
704	#380	—	7	1	no	—
705	#380	—	7	1	no	—
706	#380	—	7	1	no	—
707	#380	—	7	1	no	—
708	#380	—	7	1	no	—
709	#380	—	7	1	no	—
710	#380	—	7	1	no	—
711	#380	—	7	1	no	—
712	#380	—	7	1	no	—
713	#380	C₂×D₇	1	1	yes	characteristic
714	#379	—	7	1	no	—
715	#379	—	7	1	no	—
716	C₄×C₂²⋊C₄	—	7	1	no	—
717	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
718	C₂×#95	—	7	1	no	—
719	C₂×#95	C₂×D₇	1	1	yes	characteristic
720	C₂³×C₇	—	2	1	no	—
721	C₂³×C₇	—	2	1	no	—
722	C₂³×C₇	—	2	1	no	—
723	C₂³×C₇	—	2	1	no	—
724	C₂³×C₇	C₂²×Q₈	1	2	yes	—
725	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
726	C₂³×C₇	2₋¹⁺⁴	1	2	yes	—
727	C₂³×C₇	C₂⁵	1	1	yes	characteristic
728	C₂²×D₇	—	2	1	no	—
729	C₂²×D₇	—	2	1	no	—
730	C₂²×D₇	—	2	1	no	—
731	C₂²×D₇	—	2	1	no	—
732	C₂²×D₇	—	2	1	no	—
733	C₂²×D₇	—	2	1	no	—
734	C₂²×D₇	—	2	1	no	—
735	C₂²×D₇	—	2	1	no	—
736	C₂²×D₇	—	2	1	no	—
737	C₂²×D₇	—	2	1	no	—
738	C₂²×D₇	—	2	1	no	—
739	C₂²×D₇	—	2	1	no	—
740	C₂²×D₇	—	2	8	no	—
741	C₂²×D₇	—	4	4	no	—
742	C₂²×D₇	—	4	4	no	—
743	C₂²×D₇	—	8	2	no	—
744	C₂²×D₇	—	8	2	no	—
745	C₂²×D₇	—	8	2	no	—
746	C₂²×D₇	—	8	2	no	—
747	C₂²×D₇	C₂²×Q₈	1	2	yes	—
748	C₂²×D₇	C₂²×Q₈	1	2	yes	—
749	C₇×Q₈	—	8	2	no	—
750	C₇×Q₈	—	8	2	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	—	2	1	no	—
772	C₂×C₄×C₇	—	2	1	no	—
773	C₂×C₄×C₇	—	2	1	no	—
774	C₂×C₄×C₇	—	2	1	no	—
775	C₂×C₄×C₇	—	2	1	no	—
776	C₂×C₄×C₇	—	2	1	no	—
777	C₂×C₄×C₇	—	2	1	no	—
778	C₂×C₄×C₇	—	2	1	no	—
779	C₂×C₄×C₇	—	2	1	no	—
780	C₂×C₄×C₇	—	2	1	no	—
781	C₂×C₄×C₇	—	2	1	no	—
782	C₂×C₄×C₇	—	2	1	no	—
783	C₂×C₄×C₇	—	2	1	no	—
784	C₂×C₄×C₇	—	2	1	no	—
785	C₂×C₄×C₇	—	2	1	no	—
786	C₂×C₄×C₇	—	2	1	no	—
787	C₂×C₄×C₇	—	2	1	no	—
788	C₂×C₄×C₇	—	2	1	no	—
789	C₂×C₄×C₇	—	2	1	no	—
790	C₂×C₄×C₇	—	4	4	no	—
791	C₂×C₄×C₇	—	4	4	no	—
792	C₂×C₄×C₇	—	8	2	no	—
793	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
794	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
795	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
815	C₂×Dic₇	—	2	1	no	—
816	C₂×Dic₇	—	2	1	no	—
817	C₂×Dic₇	—	2	1	no	—
818	C₂×Dic₇	—	2	1	no	—
819	C₂×Dic₇	—	2	1	no	—
820	C₂×Dic₇	—	2	1	no	—
821	C₂×Dic₇	—	2	1	no	—
822	C₂×Dic₇	—	2	1	no	—
823	C₂×Dic₇	—	2	1	no	—
824	C₂×Dic₇	—	2	1	no	—
825	C₂×Dic₇	—	2	1	no	—
826	C₂×Dic₇	—	2	1	no	—
827	C₂×Dic₇	—	2	1	no	—
828	C₂×Dic₇	—	2	1	no	—
829	C₂×Dic₇	—	2	1	no	—
830	C₂×Dic₇	—	2	1	no	—
831	C₂×Dic₇	—	2	1	no	—
832	C₂×Dic₇	—	2	1	no	—
833	C₂×Dic₇	—	2	1	no	—
834	C₂×Dic₇	—	2	1	no	—
835	C₂×Dic₇	—	4	4	no	—
836	C₂×Dic₇	—	4	4	no	—
837	C₂×Dic₇	—	8	2	no	—
838	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
839	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
840	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
841	C₄×D₇	—	8	2	no	—
842	C₄×D₇	—	8	2	no	—
843	C₄×D₇	—	8	2	no	—
844	C₄×D₇	—	8	2	no	—
845	Dic₁₄	—	8	2	no	—
846	Dic₁₄	—	8	2	no	—
847	C₂⁵	—	7	1	no	—
848	C₂²×Q₈	—	7	1	no	—
849	C₂²×Q₈	—	7	1	no	—
850	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
851	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
852	C₂³×C₄	—	7	1	no	—
853	C₂³×C₄	—	7	1	no	—
854	C₂³×C₄	—	7	1	no	—
855	C₂³×C₄	—	7	1	no	—
856	C₂³×C₄	—	7	1	no	—
857	C₂³×C₄	—	7	1	no	—
858	C₂³×C₄	—	7	1	no	—
859	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
860	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
862	C₄⋊Q₈	—	28	2	no	—
863	#125	—	28	2	no	—
864	#125	—	28	2	no	—
865	#125	—	28	2	no	—
866	C₂²⋊Q₈	—	4	2	no	—
867	C₂²⋊Q₈	—	4	2	no	—
868	C₂²⋊Q₈	—	28	2	no	—
869	C₂²⋊Q₈	—	28	2	no	—
870	C₂²⋊Q₈	—	28	2	no	—
871	C₂²⋊Q₈	—	28	2	no	—
872	C₂²⋊Q₈	—	28	2	no	—
873	C₂²⋊Q₈	—	28	2	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	—	7	1	no	—
885	C₂×C₄⋊C₄	—	7	1	no	—
886	C₂×C₄⋊C₄	—	7	1	no	—
887	C₂×C₄⋊C₄	—	7	1	no	—
888	C₂×C₄⋊C₄	—	7	1	no	—
889	C₂×C₄⋊C₄	—	7	1	no	—
890	C₂×C₄⋊C₄	—	7	1	no	—
891	C₂×C₄⋊C₄	—	7	1	no	—
892	C₂×C₄⋊C₄	—	7	1	no	—
893	C₂×C₄⋊C₄	—	7	1	no	—
894	C₂×C₄⋊C₄	—	7	1	no	—
895	C₂×C₄⋊C₄	—	7	1	no	—
896	C₂×C₄⋊C₄	—	7	1	no	—
897	C₂×C₄⋊C₄	—	7	1	no	—
898	C₂×C₄⋊C₄	—	7	1	no	—
899	C₂×C₄⋊C₄	—	7	1	no	—
900	C₂×C₄⋊C₄	—	7	1	no	—
901	C₂×C₄⋊C₄	—	7	1	no	—
902	C₂×C₄⋊C₄	—	7	1	no	—
903	C₂×C₄⋊C₄	—	7	1	no	—
904	C₂×C₄⋊C₄	—	7	1	no	—
905	C₂×C₄⋊C₄	—	7	1	no	—
906	C₂×C₄⋊C₄	—	7	1	no	—
907	C₂×C₄⋊C₄	—	7	1	no	—
908	C₂×C₄⋊C₄	—	7	1	no	—
909	C₂×C₄⋊C₄	—	7	1	no	—
910	C₂×C₄⋊C₄	—	7	1	no	—
911	C₂×C₄⋊C₄	—	7	1	no	—
912	C₂×C₄⋊C₄	—	7	1	no	—
913	C₂×C₄⋊C₄	—	7	1	no	—
914	C₂×C₄⋊C₄	—	28	2	no	—
915	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	—	7	8	no	—
928	C₂×C₂²⋊C₄	—	7	1	no	—
929	C₂×C₂²⋊C₄	—	7	1	no	—
930	C₂×C₂²⋊C₄	—	7	1	no	—
931	C₂×C₂²⋊C₄	—	7	1	no	—
932	C₂×C₂²⋊C₄	—	7	1	no	—
933	C₂×C₂²⋊C₄	—	7	1	no	—
934	C₂×C₂²⋊C₄	—	7	1	no	—
935	C₂×C₂²⋊C₄	—	7	1	no	—
936	C₂×C₂²⋊C₄	—	7	1	no	—
937	C₂×C₂²⋊C₄	—	7	1	no	—
938	C₂×C₂²⋊C₄	—	7	1	no	—
939	C₂×C₂²⋊C₄	—	7	1	no	—
940	C₂×C₂²⋊C₄	—	7	1	no	—
941	C₂×C₂²⋊C₄	—	7	1	no	—
942	C₂×C₂²⋊C₄	—	7	1	no	—
943	C₂×C₂²⋊C₄	—	7	1	no	—
944	C₂×C₂²⋊C₄	—	7	1	no	—
945	C₂×C₂²⋊C₄	—	7	1	no	—
946	C₂×C₂²⋊C₄	—	7	1	no	—
947	C₂×C₂²⋊C₄	—	7	1	no	—
948	C₂×C₂²⋊C₄	—	7	1	no	—
949	C₂×C₂²⋊C₄	—	7	1	no	—
950	C₂×C₂²⋊C₄	—	7	1	no	—
951	C₂×C₂²⋊C₄	—	7	1	no	—
952	C₂×C₂²⋊C₄	—	7	1	no	—
953	C₂×C₂²⋊C₄	—	7	1	no	—
954	C₂×C₂²⋊C₄	—	7	1	no	—
955	C₂×C₂²⋊C₄	—	7	1	no	—
956	C₂×C₂²⋊C₄	—	28	2	no	—
957	C₂×C₂²⋊C₄	—	28	2	no	—
958	C₂×C₂²⋊C₄	—	28	2	no	—
959	C₂×C₂²⋊C₄	—	28	2	no	—
960	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
964	C₂×C₄²	—	7	1	no	—
965	C₂×C₄²	—	7	1	no	—
966	C₂×C₄²	—	7	1	no	—
967	C₂×C₄²	—	7	1	no	—
968	C₂×C₄²	—	7	1	no	—
969	C₂×C₄²	—	7	1	no	—
970	C₂×C₄²	—	28	2	no	—
971	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
981	#95	—	7	1	no	—
982	#95	—	7	1	no	—
983	#95	—	7	1	no	—
984	#95	—	7	1	no	—
985	#95	—	7	1	no	—
986	#95	—	7	1	no	—
987	#95	—	7	1	no	—
988	#95	—	7	1	no	—
989	#95	—	7	1	no	—
990	#95	—	7	1	no	—
991	#95	—	7	1	no	—
992	#95	—	7	1	no	—
993	#95	—	7	1	no	—
994	#95	—	7	1	no	—
995	#95	—	7	1	no	—
996	#95	—	7	1	no	—
997	#95	—	7	1	no	—
998	#95	—	7	1	no	—
999	#95	—	7	1	no	—
1000	#95	—	7	1	no	—
1001	#95	—	7	1	no	—
1002	#95	—	7	1	no	—
1003	#95	—	7	1	no	—
1004	#95	—	7	1	no	—
1005	#95	—	7	1	no	—
1006	#95	—	7	1	no	—
1007	#95	—	7	1	no	—
1008	#95	—	7	1	no	—
1009	#95	C₂²×D₇	1	1	yes	characteristic
1010	#95	C₂²×D₇	1	1	yes	characteristic
1011	#95	C₂²×D₇	1	1	yes	characteristic
1012	#95	C₂²×D₇	1	1	yes	characteristic
1013	#95	C₂²×D₇	1	1	yes	characteristic
1014	#95	C₂²×D₇	1	1	yes	characteristic
1015	#95	C₂²×D₇	1	1	yes	characteristic
1016	#95	C₂²×D₇	1	1	yes	characteristic
1017	#95	C₂²×D₇	1	1	yes	characteristic
1018	#95	C₂²×D₇	1	1	yes	characteristic
1019	#95	C₂²×D₇	1	1	yes	characteristic
1020	#95	C₂²×D₇	1	1	yes	characteristic
1021	C₂²×C₇	—	2	2	no	—
1022	C₂²×C₇	—	2	2	no	—
1023	C₂²×C₇	—	2	2	no	—
1024	C₂²×C₇	—	2	2	no	—
1025	C₂²×C₇	—	2	2	no	—
1026	C₂²×C₇	—	2	2	no	—
1027	C₂²×C₇	#544	1	4	yes	—
1028	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
1029	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1030	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1031	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1032	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1033	C₂²×C₇	#585	1	1	yes	characteristic
1034	C₂²×C₇	#585	1	1	yes	characteristic
1035	C₂×D₇	—	2	2	no	—
1036	C₂×D₇	—	2	2	no	—
1037	C₂×D₇	—	2	2	no	—
1038	C₂×D₇	—	2	2	no	—
1039	C₂×D₇	—	2	2	no	—
1040	C₂×D₇	—	2	2	no	—
1041	C₂×D₇	—	4	1	no	—
1042	C₂×D₇	—	4	1	no	—
1043	C₂×D₇	—	4	1	no	—
1044	C₂×D₇	—	4	1	no	—
1045	C₂×D₇	—	4	1	no	—
1046	C₂×D₇	—	4	1	no	—
1047	C₂×D₇	—	4	1	no	—
1048	C₂×D₇	—	4	1	no	—
1049	C₂×D₇	—	8	8	no	—
1050	C₄×C₇	—	2	2	no	—
1051	C₄×C₇	—	2	2	no	—
1052	C₄×C₇	—	2	2	no	—
1053	C₄×C₇	—	4	1	no	—
1054	C₄×C₇	—	4	1	no	—
1055	C₄×C₇	—	4	1	no	—
1056	C₄×C₇	—	4	1	no	—
1057	C₄×C₇	—	4	1	no	—
1058	C₄×C₇	—	4	1	no	—
1059	C₄×C₇	—	4	1	no	—
1060	C₄×C₇	—	4	1	no	—
1061	C₄×C₇	—	4	1	no	—
1062	C₄×C₇	—	4	1	no	—
1063	C₄×C₇	—	4	1	no	—
1064	Dic₇	—	2	2	no	—
1065	Dic₇	—	2	2	no	—
1066	Dic₇	—	2	2	no	—
1067	Dic₇	—	4	1	no	—
1068	Dic₇	—	4	1	no	—
1069	Dic₇	—	4	1	no	—
1070	Dic₇	—	4	1	no	—
1071	Dic₇	—	4	1	no	—
1072	Dic₇	—	4	1	no	—
1073	Dic₇	—	4	1	no	—
1074	Dic₇	—	4	1	no	—
1075	Dic₇	—	4	1	no	—
1076	Dic₇	—	4	1	no	—
1077	Dic₇	—	4	1	no	—
1078	C₂⁴	—	7	1	no	—
1079	C₂⁴	—	7	1	no	—
1080	C₂⁴	—	7	4	no	—
1081	C₂⁴	—	14	2	no	—
1082	C₂⁴	—	14	2	no	—
1083	C₂⁴	—	28	1	no	—
1084	C₂⁴	—	28	1	no	—
1085	C₂⁴	—	28	1	no	—
1086	C₂⁴	—	28	1	no	—
1087	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1088	C₂×Q₈	—	2	2	no	—
1089	C₂×Q₈	—	4	1	no	—
1090	C₂×Q₈	—	4	1	no	—
1091	C₂×Q₈	—	4	1	no	—
1092	C₂×Q₈	—	4	1	no	—
1093	C₂×Q₈	—	4	1	no	—
1094	C₂×Q₈	—	14	2	no	—
1095	C₂×Q₈	—	28	1	no	—
1096	C₂×Q₈	—	28	1	no	—
1097	C₂×Q₈	—	28	1	no	—
1098	C₂×Q₈	—	28	1	no	—
1099	C₂×Q₈	—	28	1	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	7	1	no	—
1109	C₂²×C₄	—	7	1	no	—
1110	C₂²×C₄	—	7	1	no	—
1111	C₂²×C₄	—	7	4	no	—
1112	C₂²×C₄	—	7	1	no	—
1113	C₂²×C₄	—	7	1	no	—
1114	C₂²×C₄	—	7	1	no	—
1115	C₂²×C₄	—	7	1	no	—
1116	C₂²×C₄	—	7	1	no	—
1117	C₂²×C₄	—	7	1	no	—
1118	C₂²×C₄	—	7	1	no	—
1119	C₂²×C₄	—	7	1	no	—
1120	C₂²×C₄	—	7	1	no	—
1121	C₂²×C₄	—	7	1	no	—
1122	C₂²×C₄	—	7	1	no	—
1123	C₂²×C₄	—	14	2	no	—
1124	C₂²×C₄	—	14	2	no	—
1125	C₂²×C₄	—	14	2	no	—
1126	C₂²×C₄	—	28	1	no	—
1127	C₂²×C₄	—	28	1	no	—
1128	C₂²×C₄	—	28	1	no	—
1129	C₂²×C₄	—	28	1	no	—
1130	C₂²×C₄	—	28	1	no	—
1131	C₂²×C₄	—	28	1	no	—
1132	C₂²×C₄	—	28	1	no	—
1133	C₂²×C₄	—	28	1	no	—
1134	C₂²×C₄	—	28	1	no	—
1135	C₂²×C₄	—	28	1	no	—
1136	C₂²×C₄	—	28	1	no	—
1137	C₂²×C₄	—	28	1	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	Q₈×D₇	1	4	yes	—
1144	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	14	2	no	—
1171	C₄⋊C₄	—	14	2	no	—
1172	C₄⋊C₄	—	14	2	no	—
1173	C₄⋊C₄	—	14	2	no	—
1174	C₄⋊C₄	—	14	2	no	—
1175	C₄⋊C₄	—	14	2	no	—
1176	C₄⋊C₄	—	14	2	no	—
1177	C₄⋊C₄	—	28	1	no	—
1178	C₄⋊C₄	—	28	1	no	—
1179	C₄⋊C₄	—	28	1	no	—
1180	C₄⋊C₄	—	28	1	no	—
1181	C₄⋊C₄	—	28	1	no	—
1182	C₄⋊C₄	—	28	1	no	—
1183	C₄⋊C₄	—	28	1	no	—
1184	C₄⋊C₄	—	28	1	no	—
1185	C₄⋊C₄	—	28	1	no	—
1186	C₄⋊C₄	—	28	1	no	—
1187	C₄⋊C₄	—	28	1	no	—
1188	C₄⋊C₄	—	28	1	no	—
1189	C₄⋊C₄	—	28	1	no	—
1190	C₄⋊C₄	—	28	1	no	—
1191	C₄⋊C₄	—	28	1	no	—
1192	C₄⋊C₄	—	28	1	no	—
1193	C₄⋊C₄	—	28	1	no	—
1194	C₄⋊C₄	—	28	1	no	—
1195	C₄⋊C₄	—	28	1	no	—
1196	C₄⋊C₄	—	28	1	no	—
1197	C₄⋊C₄	—	28	1	no	—
1198	C₄⋊C₄	—	28	1	no	—
1199	C₄⋊C₄	—	28	1	no	—
1200	C₄⋊C₄	—	28	1	no	—
1201	C₄⋊C₄	—	28	1	no	—
1202	C₄⋊C₄	—	28	1	no	—
1203	C₄⋊C₄	—	28	1	no	—
1204	C₄⋊C₄	—	28	1	no	—
1205	C₄⋊C₄	—	28	1	no	—
1206	C₄⋊C₄	—	28	1	no	—
1207	C₄⋊C₄	—	28	1	no	—
1208	C₄⋊C₄	—	28	1	no	—
1209	C₄⋊C₄	—	28	1	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	7	4	no	—
1215	C₂²⋊C₄	—	7	4	no	—
1216	C₂²⋊C₄	—	7	4	no	—
1217	C₂²⋊C₄	—	7	4	no	—
1218	C₂²⋊C₄	—	14	2	no	—
1219	C₂²⋊C₄	—	14	2	no	—
1220	C₂²⋊C₄	—	14	2	no	—
1221	C₂²⋊C₄	—	14	2	no	—
1222	C₂²⋊C₄	—	14	2	no	—
1223	C₂²⋊C₄	—	14	2	no	—
1224	C₂²⋊C₄	—	14	2	no	—
1225	C₂²⋊C₄	—	14	2	no	—
1226	C₂²⋊C₄	—	28	1	no	—
1227	C₂²⋊C₄	—	28	1	no	—
1228	C₂²⋊C₄	—	28	1	no	—
1229	C₂²⋊C₄	—	28	1	no	—
1230	C₂²⋊C₄	—	28	1	no	—
1231	C₂²⋊C₄	—	28	1	no	—
1232	C₂²⋊C₄	—	28	1	no	—
1233	C₂²⋊C₄	—	28	1	no	—
1234	C₂²⋊C₄	—	28	1	no	—
1235	C₂²⋊C₄	—	28	1	no	—
1236	C₂²⋊C₄	—	28	1	no	—
1237	C₂²⋊C₄	—	28	1	no	—
1238	C₂²⋊C₄	—	28	1	no	—
1239	C₂²⋊C₄	—	28	1	no	—
1240	C₂²⋊C₄	—	28	1	no	—
1241	C₂²⋊C₄	—	28	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	14	2	no	—
1245	C₄²	—	14	2	no	—
1246	C₄²	—	28	1	no	—
1247	C₄²	—	28	1	no	—
1248	C₄²	—	28	1	no	—
1249	C₄²	—	28	1	no	—
1250	C₂×C₇	—	2	4	no	—
1251	C₂×C₇	C₂×#544	1	1	yes	characteristic
1252	C₂×C₇	#3501	1	1	yes	characteristic
1253	C₂×C₇	#3501	1	1	yes	characteristic
1254	C₂×C₇	#3534	1	1	yes	characteristic
1255	C₂×C₇	#3536	1	1	yes	characteristic
1256	C₂×C₇	#3558	1	1	yes	characteristic
1257	C₂×C₇	#3564	1	1	yes	characteristic
1258	D₇	—	4	2	no	—
1259	D₇	—	4	2	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	7	2	no	—
1265	C₂³	—	7	2	no	—
1266	C₂³	—	14	1	no	—
1267	C₂³	—	14	1	no	—
1268	C₂³	—	14	1	no	—
1269	C₂³	—	14	1	no	—
1270	C₂³	—	14	1	no	—
1271	C₂³	—	14	1	no	—
1272	C₂³	—	14	1	no	—
1273	C₂³	—	14	1	no	—
1274	C₂³	—	14	1	no	—
1275	C₂³	—	14	1	no	—
1276	C₂³	—	14	1	no	—
1277	C₂³	—	14	1	no	—
1278	C₂³	—	14	8	no	—
1279	C₂³	—	28	4	no	—
1280	C₂³	—	28	4	no	—
1281	C₂³	—	56	2	no	—
1282	C₂³	—	56	2	no	—
1283	C₂³	—	56	2	no	—
1284	C₂³	—	56	2	no	—
1285	C₂³	#6548	1	2	yes	—
1286	C₂³	C₂×Q₈×D₇	1	2	yes	—
1287	C₂³	#6551	1	2	yes	—
1288	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1289	Q₈	—	8	2	no	—
1290	Q₈	—	8	2	no	—
1291	Q₈	—	56	2	no	—
1292	Q₈	—	56	2	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	7	2	no	—
1335	C₂×C₄	—	7	2	no	—
1336	C₂×C₄	—	7	2	no	—
1337	C₂×C₄	—	8	2	no	—
1338	C₂×C₄	—	14	1	no	—
1339	C₂×C₄	—	14	1	no	—
1340	C₂×C₄	—	14	1	no	—
1341	C₂×C₄	—	14	1	no	—
1342	C₂×C₄	—	14	1	no	—
1343	C₂×C₄	—	14	1	no	—
1344	C₂×C₄	—	14	1	no	—
1345	C₂×C₄	—	14	1	no	—
1346	C₂×C₄	—	14	1	no	—
1347	C₂×C₄	—	14	1	no	—
1348	C₂×C₄	—	14	1	no	—
1349	C₂×C₄	—	14	1	no	—
1350	C₂×C₄	—	14	1	no	—
1351	C₂×C₄	—	14	1	no	—
1352	C₂×C₄	—	14	1	no	—
1353	C₂×C₄	—	14	1	no	—
1354	C₂×C₄	—	14	1	no	—
1355	C₂×C₄	—	14	1	no	—
1356	C₂×C₄	—	14	1	no	—
1357	C₂×C₄	—	14	1	no	—
1358	C₂×C₄	—	14	1	no	—
1359	C₂×C₄	—	14	1	no	—
1360	C₂×C₄	—	14	1	no	—
1361	C₂×C₄	—	14	1	no	—
1362	C₂×C₄	—	14	1	no	—
1363	C₂×C₄	—	14	1	no	—
1364	C₂×C₄	—	14	1	no	—
1365	C₂×C₄	—	14	1	no	—
1366	C₂×C₄	—	14	1	no	—
1367	C₂×C₄	—	14	1	no	—
1368	C₂×C₄	—	14	1	no	—
1369	C₂×C₄	—	14	1	no	—
1370	C₂×C₄	—	14	1	no	—
1371	C₂×C₄	—	14	1	no	—
1372	C₂×C₄	—	14	1	no	—
1373	C₂×C₄	—	14	1	no	—
1374	C₂×C₄	—	14	1	no	—
1375	C₂×C₄	—	14	1	no	—
1376	C₂×C₄	—	14	1	no	—
1377	C₂×C₄	—	28	4	no	—
1378	C₂×C₄	—	28	4	no	—
1379	C₂×C₄	—	56	2	no	—
1380	C₂×C₄	—	56	2	no	—
1381	C₂×C₄	—	56	2	no	—
1382	C₂×C₄	—	56	2	no	—
1383	C₂×C₄	—	56	2	no	—
1384	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1385	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1386	C₂×C₄	#6553	1	2	yes	—
1387	C₇	#36750	1	1	yes	characteristic, complemented, Sylow
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	14	2	no	—
1395	C₂²	—	14	2	no	—
1396	C₂²	—	14	2	no	—
1397	C₂²	—	14	2	no	—
1398	C₂²	—	14	2	no	—
1399	C₂²	—	14	2	no	—
1400	C₂²	—	28	1	no	—
1401	C₂²	—	28	1	no	—
1402	C₂²	—	28	1	no	—
1403	C₂²	—	28	1	no	—
1404	C₂²	—	28	1	no	—
1405	C₂²	—	28	1	no	—
1406	C₂²	—	28	1	no	—
1407	C₂²	—	28	1	no	—
1408	C₂²	—	56	8	no	—
1409	C₂²	#90420	1	4	yes	—
1410	C₂²	C₂×#6548	1	1	yes	characteristic
1411	C₂²	C₂²×Q₈×D₇	1	1	yes	characteristic
1412	C₂²	C₂×#6551	1	1	yes	characteristic
1413	C₂²	C₂×#6553	1	1	yes	characteristic
1414	C₂²	#90616	1	1	yes	characteristic
1415	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₂²	#90618	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	14	2	no	—
1432	C₄	—	14	2	no	—
1433	C₄	—	14	2	no	—
1434	C₄	—	28	1	no	—
1435	C₄	—	28	1	no	—
1436	C₄	—	28	1	no	—
1437	C₄	—	28	1	no	—
1438	C₄	—	28	1	no	—
1439	C₄	—	28	1	no	—
1440	C₄	—	28	1	no	—
1441	C₄	—	28	1	no	—
1442	C₄	—	28	1	no	—
1443	C₄	—	28	1	no	—
1444	C₄	—	28	1	no	—
1445	C₂	—	2	4	no	—
1446	C₂	—	28	2	no	—
1447	C₂	—	28	2	no	—
1448	C₂	C₂×#90420	1	1	yes	characteristic
1449	C₂	#11743348	1	1	yes	characteristic
1450	C₂	#11743642	1	1	yes	characteristic
1451	C₂	#11743712	1	1	yes	characteristic
1452	C₂	#11743723	1	1	yes	characteristic
1453	C₂	#11744012	1	1	yes	characteristic
1454	C₂	#11744020	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2549	C₂
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2549	D₇
hypocenter	C₇	#36750
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2549

Complements

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

N	H ≅ G/N	type
1. C₇×#2549	C₂	semidirect
4. #11740256	C₂	semidirect
5. #11740234	C₂	semidirect
6. #11735449	C₂	semidirect
7. #11735426	C₂	semidirect
8. #11735368	C₂	semidirect
9. #11735333	C₂	semidirect
10. #11734674	C₂	semidirect
11. #11734668	C₂	semidirect
12. #11734665	C₂	semidirect
13. #11734661	C₂	semidirect
14. #11734100	C₂	semidirect
15. #11734035	C₂	semidirect
16. #11734031	C₂	semidirect
17. #11734011	C₂	semidirect
18. #11733726	C₂	semidirect
19. #11733712	C₂	semidirect
20. #11733588	C₂	semidirect
21. #11733564	C₂	semidirect
24. #11732031	C₂	semidirect
25. #11731949	C₂	semidirect
27. #11731346	C₂	semidirect
29. #11730940	C₂	semidirect
30. #11730802	C₂	semidirect
36. C₂×#6507	C₂²	semidirect
46. C₂×#6453	C₂²	semidirect
47. C₂×#6452	C₂²	semidirect
50. C₂×#6433	C₂²	semidirect
51. C₇×#398	C₂²	semidirect
52. C₇×#398	C₂²	semidirect
53. C₇×#395	C₂²	semidirect
54. C₇×#395	C₂²	semidirect
55. C₇×#391	C₂²	semidirect
56. C₇×#391	C₂²	semidirect
57. C₇×#389	C₂²	semidirect
58. C₇×#389	C₂²	semidirect
66. #90002	C₂²	semidirect
67. #90001	C₂²	semidirect
68. #90001	C₂²	semidirect
96. #89757	C₂²	semidirect
97. #89756	C₂²	semidirect
98. #89755	C₂²	semidirect
99. #89755	C₂²	semidirect
100. #89755	C₂²	semidirect
101. #89754	C₂²	semidirect
102. #89753	C₂²	semidirect
103. #89752	C₂²	semidirect
104. #89752	C₂²	semidirect
105. #89752	C₂²	semidirect
106. #89751	C₂²	semidirect
107. #89751	C₂²	semidirect
108. #89750	C₂²	semidirect
109. #89749	C₂²	semidirect
110. #89748	C₂²	semidirect
111. #89746	C₂²	semidirect
112. #89745	C₂²	semidirect
113. #89744	C₂²	semidirect
114. #89744	C₂²	semidirect
115. #89744	C₂²	semidirect
116. #89744	C₂²	semidirect
117. #89744	C₂²	semidirect
136. #89708	C₂²	semidirect
137. #89700	C₂²	semidirect
138. #89700	C₂²	semidirect
163. #89433	C₂²	semidirect
164. #89433	C₂²	semidirect
165. #89432	C₂²	semidirect
166. #89432	C₂²	semidirect
167. #89432	C₂²	semidirect
168. #89432	C₂²	semidirect
169. #89431	C₂²	semidirect
170. #89430	C₂²	semidirect
171. #89430	C₂²	semidirect
172. #89429	C₂²	semidirect
173. #89429	C₂²	semidirect
174. #89429	C₂²	semidirect
175. #89429	C₂²	semidirect
176. #89429	C₂²	semidirect
177. #89428	C₂²	semidirect
178. #89428	C₂²	semidirect
179. #89425	C₂²	semidirect
180. #89424	C₂²	semidirect
181. #89422	C₂²	semidirect
182. #89419	C₂²	semidirect
183. #89419	C₂²	semidirect
184. #89419	C₂²	semidirect
185. #89418	C₂²	semidirect
186. #89418	C₂²	semidirect
232. C₂×(C₂×D₇)⋊C₄	Q₈	semidirect
383. #2549	D₇	semidirect
610. #398	C₂×D₇	semidirect
611. #398	C₂×D₇	semidirect
626. #395	C₂×D₇	semidirect
627. #395	C₂×D₇	semidirect
636. #391	C₂×D₇	semidirect
637. #391	C₂×D₇	semidirect
650. #389	C₂×D₇	semidirect
651. #389	C₂×D₇	semidirect
1387. C₇	#36750	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2549	2
#11740261	2
#11740256	2
#11740234	2
#11735449	2
#11735426	2
#11735368	2
#11735333	2
#11734674	2
#11734668	2
#11734665	2
#11734661	2
#11734100	2
#11734035	2
#11734031	2
#11734011	2
#11733726	2
#11733712	2
#11733588	2
#11733564	2
#11732052	2
#11732031	2
#11731949	2
#11731450	2
#11731346	2
#11731012	2
#11730940	2
#11730802	2
C₂×#89442	2
#36750	7