Subgroups — D₇×#2652 #13520267

Order 1792.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2652	C₂	1	1	yes	maximal, characteristic, complemented
2	D₇×#400	C₂	1	1	yes	maximal, characteristic, complemented
3	D₇×#400	C₂	1	1	yes	maximal, characteristic, complemented
4	D₇×#400	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735670	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735669	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735668	C₂	1	1	yes	maximal, characteristic, complemented
8	D₇×#398	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735275	C₂	1	1	yes	maximal, characteristic, complemented
10	D₇×#397	C₂	1	1	yes	maximal, characteristic
11	D₇×#397	C₂	1	1	yes	maximal, characteristic
12	D₇×#397	C₂	1	1	yes	maximal, characteristic
13	#11735004	C₂	1	1	yes	maximal, characteristic, complemented
14	#11735003	C₂	1	1	yes	maximal, characteristic, complemented
15	#11735002	C₂	1	1	yes	maximal, characteristic, complemented
16	D₇×#396	C₂	1	1	yes	maximal, characteristic
17	#11734787	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733699	C₂	1	1	yes	maximal, characteristic, complemented
19	D₇×#389	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732830	C₂	1	1	yes	maximal, characteristic, complemented
21	D₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
22	D₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
23	D₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732582	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732581	C₂	1	1	yes	maximal, characteristic, complemented
26	D₇×#385	C₂	1	1	yes	maximal, characteristic
27	D₇×#385	C₂	1	1	yes	maximal, characteristic
28	#11731951	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731950	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₇×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
31	#11731000	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
33	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
51	C₇×#400	C₂²	1	1	yes	characteristic, complemented
52	C₇×#400	C₂²	1	1	yes	characteristic, complemented
53	C₇×#400	C₂²	1	1	yes	characteristic, complemented
54	C₇×#398	C₂²	1	1	yes	characteristic, complemented
55	C₇×#397	C₂²	1	1	yes	characteristic
56	C₇×#397	C₂²	1	1	yes	characteristic
57	C₇×#397	C₂²	1	1	yes	characteristic
58	C₇×#396	C₂²	1	1	yes	characteristic
59	C₇×#389	C₂²	1	1	yes	characteristic, complemented
60	C₇×#387	C₂²	1	1	yes	characteristic, complemented
61	C₇×#387	C₂²	1	1	yes	characteristic, complemented
62	C₇×#387	C₂²	1	1	yes	characteristic, complemented
63	C₇×#385	C₂²	1	1	yes	characteristic
64	C₇×#385	C₂²	1	1	yes	characteristic
65	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	#89982	C₂²	1	1	yes	characteristic
67	#89982	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
69	#89766	C₂²	1	1	yes	characteristic
70	#89766	C₂²	1	1	yes	characteristic
71	#89766	C₂²	1	1	yes	characteristic
72	#89765	C₂²	1	1	yes	characteristic
73	#89765	C₂²	1	1	yes	characteristic
74	#89765	C₂²	1	1	yes	characteristic
75	#89761	C₂²	1	1	yes	characteristic
76	#89761	C₂²	1	1	yes	characteristic
77	#89761	C₂²	1	1	yes	characteristic
78	#89761	C₂²	1	1	yes	characteristic
79	#89758	C₂²	1	1	yes	characteristic, complemented
80	#89758	C₂²	1	1	yes	characteristic, complemented
81	#89758	C₂²	1	1	yes	characteristic, complemented
82	#89757	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	#89754	C₂²	1	1	yes	characteristic, complemented
88	#89754	C₂²	1	1	yes	characteristic, complemented
89	#89753	C₂²	1	1	yes	characteristic, complemented
90	#89753	C₂²	1	1	yes	characteristic, complemented
91	#89753	C₂²	1	1	yes	characteristic, complemented
92	#89752	C₂²	1	1	yes	characteristic, complemented
93	#89750	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	#89744	C₂²	1	1	yes	characteristic, complemented
98	#89744	C₂²	1	1	yes	characteristic, complemented
99	#89725	C₂²	1	1	yes	characteristic
100	#89725	C₂²	1	1	yes	characteristic
101	#89725	C₂²	1	1	yes	characteristic
102	#89724	C₂²	1	1	yes	characteristic
103	#89724	C₂²	1	1	yes	characteristic
104	#89724	C₂²	1	1	yes	characteristic
105	#89724	C₂²	1	1	yes	characteristic
106	#89724	C₂²	1	1	yes	characteristic
107	#89724	C₂²	1	1	yes	characteristic
108	#89722	C₂²	1	1	yes	characteristic
109	#89722	C₂²	1	1	yes	characteristic
110	#89720	C₂²	1	1	yes	characteristic
111	#89720	C₂²	1	1	yes	characteristic
112	#89720	C₂²	1	1	yes	characteristic
113	#89718	C₂²	1	1	yes	characteristic
114	#89718	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₇	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	#89705	C₂²	1	1	yes	characteristic, complemented
121	#89705	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	#89447	C₂²	1	1	yes	characteristic
127	#89447	C₂²	1	1	yes	characteristic
128	#89447	C₂²	1	1	yes	characteristic
129	#89447	C₂²	1	1	yes	characteristic
130	#89446	C₂²	1	1	yes	characteristic
131	#89446	C₂²	1	1	yes	characteristic
132	#89446	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	#89438	C₂²	1	1	yes	characteristic
138	#89438	C₂²	1	1	yes	characteristic
139	D₇×#95	C₂²	1	1	yes	characteristic
140	D₇×#95	C₂²	1	1	yes	characteristic
141	D₇×#95	C₂²	1	1	yes	characteristic
142	D₇×#95	C₂²	1	1	yes	characteristic
143	D₇×#95	C₂²	1	1	yes	characteristic
144	D₇×#95	C₂²	1	1	yes	characteristic
145	D₇×#95	C₂²	1	1	yes	characteristic
146	D₇×#95	C₂²	1	1	yes	characteristic
147	D₇×#95	C₂²	1	1	yes	characteristic
148	D₇×#95	C₂²	1	1	yes	characteristic
149	D₇×#95	C₂²	1	1	yes	characteristic
150	D₇×#95	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	#89433	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	#89432	C₂²	1	1	yes	characteristic, complemented
162	#89431	C₂²	1	1	yes	characteristic, complemented
163	#89431	C₂²	1	1	yes	characteristic, complemented
164	#89431	C₂²	1	1	yes	characteristic, complemented
165	#89430	C₂²	1	1	yes	characteristic, complemented
166	#89430	C₂²	1	1	yes	characteristic, complemented
167	#89430	C₂²	1	1	yes	characteristic, complemented
168	#89430	C₂²	1	1	yes	characteristic, complemented
169	#89430	C₂²	1	1	yes	characteristic, complemented
170	#89430	C₂²	1	1	yes	characteristic, complemented
171	#89429	C₂²	1	1	yes	characteristic, complemented
172	#89429	C₂²	1	1	yes	characteristic, complemented
173	#89427	C₂²	1	1	yes	characteristic, complemented
174	#89427	C₂²	1	1	yes	characteristic, complemented
175	#89427	C₂²	1	1	yes	characteristic, complemented
176	#89426	C₂²	1	1	yes	characteristic, complemented
177	#89426	C₂²	1	1	yes	characteristic, complemented
178	#89426	C₂²	1	1	yes	characteristic, complemented
179	#89425	C₂²	1	1	yes	characteristic, complemented
180	#89425	C₂²	1	1	yes	characteristic, complemented
181	#89425	C₂²	1	1	yes	characteristic, complemented
182	#89424	C₂²	1	1	yes	characteristic, complemented
183	#89424	C₂²	1	1	yes	characteristic, complemented
184	#89424	C₂²	1	1	yes	characteristic, complemented
185	#89419	C₂²	1	1	yes	characteristic, complemented
186	#89419	C₂²	1	1	yes	characteristic, complemented
187	C₂×#2652	—	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×C₄×D₇	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×(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×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇	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	D₇×C₄⋊C₄	—	2	4	no	—
283	D₇×C₄⋊C₄	—	2	4	no	—
284	D₇×C₄⋊C₄	—	2	4	no	—
285	D₇×C₄⋊C₄	—	2	4	no	—
286	D₇×C₄⋊C₄	—	4	2	no	—
287	D₇×C₄⋊C₄	—	4	2	no	—
288	D₇×C₄⋊C₄	—	4	2	no	—
289	D₇×C₄⋊C₄	—	4	2	no	—
290	D₇×C₄⋊C₄	—	4	2	no	—
291	D₇×C₄⋊C₄	—	4	2	no	—
292	D₇×C₂²⋊C₄	—	2	4	no	—
293	D₇×C₂²⋊C₄	—	2	4	no	—
294	D₇×C₂²⋊C₄	—	2	4	no	—
295	D₇×C₂²⋊C₄	—	2	4	no	—
296	D₇×C₂²⋊C₄	—	4	2	no	—
297	D₇×C₂²⋊C₄	—	4	2	no	—
298	C₄²×D₇	—	4	2	no	—
299	C₄²×D₇	—	4	2	no	—
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	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	C₇⋊#95	C₂³	1	1	yes	characteristic
363	C₇⋊#95	C₂³	1	1	yes	characteristic
364	#2652	—	7	1	no	—
365	#2652	—	7	1	no	—
366	#2652	—	7	1	no	—
367	#2652	—	7	1	no	—
368	#2652	—	7	1	no	—
369	#2652	—	7	1	no	—
370	#2652	—	7	1	no	—
371	#2652	—	7	1	no	—
372	#2652	—	7	1	no	—
373	#2652	—	7	1	no	—
374	#2652	—	7	1	no	—
375	#2652	—	7	1	no	—
376	#2652	—	7	1	no	—
377	#2652	—	7	1	no	—
378	#2652	—	7	1	no	—
379	#2652	D₇	1	1	yes	characteristic, direct product factor
380	C₂×#400	—	7	1	no	—
381	C₂×#400	—	7	1	no	—
382	C₂×#400	—	7	1	no	—
383	C₂×#398	—	7	1	no	—
384	C₂×#397	—	7	1	no	—
385	C₂×#397	—	7	1	no	—
386	C₂×#397	—	7	1	no	—
387	C₂×#396	—	7	1	no	—
388	C₂×#389	—	7	1	no	—
389	C₂×#387	—	7	1	no	—
390	C₂×#387	—	7	1	no	—
391	C₂×#387	—	7	1	no	—
392	C₂×#385	—	7	1	no	—
393	C₂×#385	—	7	1	no	—
394	C₂×C₄×C₂²⋊C₄	—	7	1	no	—
395	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
396	C₂³×D₇	—	2	2	no	—
397	C₂³×D₇	—	2	2	no	—
398	C₂³×D₇	—	2	2	no	—
399	C₂³×D₇	—	2	2	no	—
400	C₂³×D₇	—	2	2	no	—
401	C₂³×D₇	—	2	2	no	—
402	C₂³×D₇	#41	1	4	yes	—
403	C₂³×D₇	C₂⁴	1	1	yes	characteristic
404	C₂³×D₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	—	2	2	no	—
406	C₂²×C₄×C₇	—	4	1	no	—
407	C₂²×C₄×C₇	—	4	1	no	—
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×C₄×C₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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×Dic₇	—	2	2	no	—
423	C₂²×Dic₇	—	4	1	no	—
424	C₂²×Dic₇	—	4	1	no	—
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
439	C₂×C₄×D₇	—	2	2	no	—
440	C₂×C₄×D₇	—	2	2	no	—
441	C₂×C₄×D₇	—	2	2	no	—
442	C₂×C₄×D₇	—	2	2	no	—
443	C₂×C₄×D₇	—	2	2	no	—
444	C₂×C₄×D₇	—	2	2	no	—
445	C₂×C₄×D₇	—	2	2	no	—
446	C₂×C₄×D₇	—	2	2	no	—
447	C₂×C₄×D₇	—	2	2	no	—
448	C₂×C₄×D₇	—	2	2	no	—
449	C₂×C₄×D₇	—	2	2	no	—
450	C₂×C₄×D₇	—	2	2	no	—
451	C₂×C₄×D₇	—	2	2	no	—
452	C₂×C₄×D₇	—	2	2	no	—
453	C₂×C₄×D₇	—	2	2	no	—
454	C₂×C₄×D₇	—	2	2	no	—
455	C₂×C₄×D₇	—	2	2	no	—
456	C₂×C₄×D₇	—	2	2	no	—
457	C₂×C₄×D₇	—	2	2	no	—
458	C₂×C₄×D₇	—	2	2	no	—
459	C₂×C₄×D₇	—	2	2	no	—
460	C₂×C₄×D₇	—	2	2	no	—
461	C₂×C₄×D₇	—	2	2	no	—
462	C₂×C₄×D₇	—	2	2	no	—
463	C₂×C₄×D₇	—	2	2	no	—
464	C₂×C₄×D₇	—	2	2	no	—
465	C₂×C₄×D₇	—	2	2	no	—
466	C₂×C₄×D₇	—	2	2	no	—
467	C₂×C₄×D₇	—	2	2	no	—
468	C₂×C₄×D₇	—	2	2	no	—
469	C₂×C₄×D₇	—	2	2	no	—
470	C₂×C₄×D₇	—	2	2	no	—
471	C₂×C₄×D₇	—	2	2	no	—
472	C₂×C₄×D₇	—	2	2	no	—
473	C₂×C₄×D₇	—	2	2	no	—
474	C₂×C₄×D₇	—	2	2	no	—
475	C₂×C₄×D₇	—	2	2	no	—
476	C₂×C₄×D₇	—	2	2	no	—
477	C₂×C₄×D₇	—	2	2	no	—
478	C₂×C₄×D₇	—	2	2	no	—
479	C₂×C₄×D₇	—	2	2	no	—
480	C₂×C₄×D₇	—	2	2	no	—
481	C₂×C₄×D₇	—	4	16	no	—
482	C₂×C₄×D₇	—	4	1	no	—
483	C₂×C₄×D₇	—	4	1	no	—
484	C₂×C₄×D₇	—	4	1	no	—
485	C₂×C₄×D₇	—	4	1	no	—
486	C₂×C₄×D₇	#41	1	4	yes	—
487	C₂×C₄×D₇	#41	1	4	yes	—
488	C₇×C₄⋊C₄	—	2	2	no	—
489	C₇×C₄⋊C₄	—	2	2	no	—
490	C₇×C₄⋊C₄	—	2	2	no	—
491	C₇×C₄⋊C₄	—	2	2	no	—
492	C₇×C₄⋊C₄	—	4	1	no	—
493	C₇×C₄⋊C₄	—	4	1	no	—
494	C₇×C₄⋊C₄	—	4	1	no	—
495	C₇×C₄⋊C₄	—	4	1	no	—
496	C₇×C₄⋊C₄	—	4	1	no	—
497	C₇×C₄⋊C₄	—	4	1	no	—
498	C₇×C₂²⋊C₄	—	2	2	no	—
499	C₇×C₂²⋊C₄	—	2	2	no	—
500	C₇×C₂²⋊C₄	—	2	2	no	—
501	C₇×C₂²⋊C₄	—	2	2	no	—
502	C₇×C₂²⋊C₄	—	4	1	no	—
503	C₇×C₂²⋊C₄	—	4	1	no	—
504	C₄²×C₇	—	4	1	no	—
505	C₄²×C₇	—	4	1	no	—
506	C₂²⋊Dic₇	—	2	2	no	—
507	C₂²⋊Dic₇	—	2	2	no	—
508	C₂²⋊Dic₇	—	2	2	no	—
509	C₂²⋊Dic₇	—	2	2	no	—
510	C₂²⋊Dic₇	—	4	1	no	—
511	C₂²⋊Dic₇	—	4	1	no	—
512	(C₂×D₇)⋊C₄	—	2	2	no	—
513	(C₂×D₇)⋊C₄	—	2	2	no	—
514	(C₂×D₇)⋊C₄	—	2	2	no	—
515	(C₂×D₇)⋊C₄	—	2	2	no	—
516	(C₂×D₇)⋊C₄	—	2	2	no	—
517	(C₂×D₇)⋊C₄	—	2	2	no	—
518	(C₂×D₇)⋊C₄	—	2	2	no	—
519	(C₂×D₇)⋊C₄	—	2	2	no	—
520	(C₂×D₇)⋊C₄	—	4	1	no	—
521	(C₂×D₇)⋊C₄	—	4	1	no	—
522	(C₂×D₇)⋊C₄	—	4	1	no	—
523	(C₂×D₇)⋊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	—	4	1	no	—
529	C₄⋊Dic₇	—	4	1	no	—
530	C₄⋊Dic₇	—	4	1	no	—
531	C₄⋊Dic₇	—	4	1	no	—
532	C₄⋊Dic₇	—	4	1	no	—
533	C₄⋊Dic₇	—	4	1	no	—
534	Dic₇⋊C₄	—	2	2	no	—
535	Dic₇⋊C₄	—	2	2	no	—
536	Dic₇⋊C₄	—	2	2	no	—
537	Dic₇⋊C₄	—	2	2	no	—
538	Dic₇⋊C₄	—	2	2	no	—
539	Dic₇⋊C₄	—	2	2	no	—
540	Dic₇⋊C₄	—	2	2	no	—
541	Dic₇⋊C₄	—	2	2	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	C₄×Dic₇	—	4	1	no	—
555	C₄×Dic₇	—	4	1	no	—
556	C₄×Dic₇	—	4	1	no	—
557	C₄×Dic₇	—	4	1	no	—
558	C₄×Dic₇	—	4	1	no	—
559	C₄×Dic₇	—	4	1	no	—
560	C₂⁴×C₄	—	7	1	no	—
561	C₂²×C₄⋊C₄	—	7	1	no	—
562	C₂²×C₄⋊C₄	—	7	1	no	—
563	C₂²×C₄⋊C₄	—	7	1	no	—
564	C₂²×C₄⋊C₄	—	7	1	no	—
565	C₂²×C₄⋊C₄	—	7	1	no	—
566	C₂²×C₄⋊C₄	—	7	1	no	—
567	C₂²×C₄⋊C₄	—	7	1	no	—
568	C₂²×C₄⋊C₄	—	7	1	no	—
569	C₂²×C₄⋊C₄	—	7	1	no	—
570	C₂²×C₄⋊C₄	—	7	1	no	—
571	C₂²×C₂²⋊C₄	—	7	1	no	—
572	C₂²×C₂²⋊C₄	—	7	1	no	—
573	C₂²×C₂²⋊C₄	—	7	1	no	—
574	C₂²×C₂²⋊C₄	—	7	1	no	—
575	C₂²×C₂²⋊C₄	—	7	1	no	—
576	C₂²×C₂²⋊C₄	—	7	1	no	—
577	C₂²×C₄²	—	7	1	no	—
578	C₂²×C₄²	—	7	1	no	—
579	#400	—	7	1	no	—
580	#400	—	7	1	no	—
581	#400	—	7	1	no	—
582	#400	—	7	1	no	—
583	#400	—	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	#400	—	7	1	no	—
593	#400	—	7	1	no	—
594	#400	—	7	1	no	—
595	#400	—	7	1	no	—
596	#400	—	7	1	no	—
597	#400	—	7	1	no	—
598	#400	—	7	1	no	—
599	#400	—	7	1	no	—
600	#400	C₂×D₇	1	1	yes	characteristic, complemented
601	#400	C₂×D₇	1	1	yes	characteristic, complemented
602	#400	C₂×D₇	1	1	yes	characteristic, complemented
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	#397	—	7	1	no	—
612	#397	—	7	1	no	—
613	#397	—	7	1	no	—
614	#397	—	7	1	no	—
615	#397	—	7	1	no	—
616	#397	—	7	1	no	—
617	#397	—	7	1	no	—
618	#397	—	7	1	no	—
619	#397	—	7	1	no	—
620	#397	—	7	1	no	—
621	#397	—	7	1	no	—
622	#397	—	7	1	no	—
623	#397	—	7	1	no	—
624	#397	—	7	1	no	—
625	#397	—	7	1	no	—
626	#397	—	7	1	no	—
627	#397	—	7	1	no	—
628	#397	—	7	1	no	—
629	#397	—	7	1	no	—
630	#397	—	7	1	no	—
631	#397	—	7	1	no	—
632	#397	C₂×D₇	1	1	yes	characteristic
633	#397	C₂×D₇	1	1	yes	characteristic
634	#397	C₂×D₇	1	1	yes	characteristic
635	#396	—	7	1	no	—
636	#396	—	7	1	no	—
637	#396	—	7	1	no	—
638	#396	—	7	1	no	—
639	#396	—	7	1	no	—
640	#396	—	7	1	no	—
641	#396	—	7	1	no	—
642	#396	C₂×D₇	1	1	yes	characteristic
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	#387	—	7	1	no	—
652	#387	—	7	1	no	—
653	#387	—	7	1	no	—
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	—	7	1	no	—
663	#387	—	7	1	no	—
664	#387	—	7	1	no	—
665	#387	—	7	1	no	—
666	#387	—	7	1	no	—
667	#387	—	7	1	no	—
668	#387	—	7	1	no	—
669	#387	—	7	1	no	—
670	#387	—	7	1	no	—
671	#387	—	7	1	no	—
672	#387	C₂×D₇	1	1	yes	characteristic, complemented
673	#387	C₂×D₇	1	1	yes	characteristic, complemented
674	#387	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic
690	#385	C₂×D₇	1	1	yes	characteristic
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	C₄×C₂²⋊C₄	—	7	1	no	—
697	C₄×C₂²⋊C₄	—	7	1	no	—
698	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
699	C₂×#95	—	7	1	no	—
700	C₂×#95	—	7	1	no	—
701	C₂×#95	—	7	1	no	—
702	C₂×#95	—	7	1	no	—
703	C₂×#95	—	7	1	no	—
704	C₂×#95	—	7	1	no	—
705	C₂×#95	—	7	1	no	—
706	C₂×#95	—	7	1	no	—
707	C₂×#95	—	7	1	no	—
708	C₂×#95	—	7	1	no	—
709	C₂×#95	—	7	1	no	—
710	C₂×#95	—	7	1	no	—
711	C₂×#95	—	7	1	no	—
712	C₂×#95	—	7	1	no	—
713	C₂×#95	—	7	1	no	—
714	C₂×#95	—	7	1	no	—
715	C₂³×C₇	—	2	1	no	—
716	C₂³×C₇	—	2	1	no	—
717	C₂³×C₇	—	2	1	no	—
718	C₂³×C₇	—	2	1	no	—
719	C₂³×C₇	—	2	1	no	—
720	C₂³×C₇	—	2	1	no	—
721	C₂³×C₇	C₂×#41	1	2	yes	—
722	C₂³×C₇	C₂⁵	1	1	yes	characteristic
723	C₂²×D₇	—	2	1	no	—
724	C₂²×D₇	—	2	1	no	—
725	C₂²×D₇	—	2	1	no	—
726	C₂²×D₇	—	2	1	no	—
727	C₂²×D₇	—	2	1	no	—
728	C₂²×D₇	—	2	1	no	—
729	C₂²×D₇	—	2	8	no	—
730	C₂²×D₇	—	2	8	no	—
731	C₂²×D₇	—	2	8	no	—
732	C₂²×D₇	—	4	4	no	—
733	C₂²×D₇	—	4	4	no	—
734	C₂²×D₇	—	4	4	no	—
735	C₂²×D₇	—	4	4	no	—
736	C₂²×D₇	C₂×#41	1	2	yes	—
737	C₂²×D₇	C₂×#41	1	2	yes	—
738	C₂²×D₇	C₂×#41	1	2	yes	—
739	C₂²×D₇	C₂×#41	1	2	yes	—
740	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
741	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
742	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
743	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
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	—	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	—	4	4	no	—
785	C₂×C₄×C₇	C₂×#41	1	2	yes	—
786	C₂×C₄×C₇	C₂×#41	1	2	yes	—
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	—	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	—	4	4	no	—
828	C₂×Dic₇	C₂×#41	1	2	yes	—
829	C₂×Dic₇	C₂×#41	1	2	yes	—
830	C₄×D₇	—	2	8	no	—
831	C₄×D₇	—	2	8	no	—
832	C₄×D₇	—	4	4	no	—
833	C₄×D₇	—	4	4	no	—
834	C₄×D₇	—	4	4	no	—
835	C₄×D₇	—	4	4	no	—
836	C₄×D₇	—	4	4	no	—
837	C₄×D₇	—	4	4	no	—
838	C₄×D₇	—	4	4	no	—
839	C₄×D₇	—	4	4	no	—
840	C₄×D₇	—	4	4	no	—
841	C₄×D₇	—	4	4	no	—
842	C₄×D₇	—	4	4	no	—
843	C₄×D₇	—	4	4	no	—
844	C₄×D₇	—	4	4	no	—
845	C₄×D₇	—	4	4	no	—
846	C₂⁵	—	7	1	no	—
847	C₂³×C₄	—	7	1	no	—
848	C₂³×C₄	—	7	1	no	—
849	C₂³×C₄	—	7	1	no	—
850	C₂³×C₄	—	7	1	no	—
851	C₂³×C₄	—	7	1	no	—
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	—	7	1	no	—
860	C₂³×C₄	—	7	1	no	—
861	C₂³×C₄	—	7	1	no	—
862	C₂³×C₄	—	7	1	no	—
863	C₂³×C₄	—	7	1	no	—
864	C₂³×C₄	—	14	4	no	—
865	C₂³×C₄	—	28	2	no	—
866	C₂³×C₄	—	28	2	no	—
867	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
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	—	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	—	14	4	no	—
899	C₂×C₄⋊C₄	—	14	4	no	—
900	C₂×C₄⋊C₄	—	14	4	no	—
901	C₂×C₄⋊C₄	—	14	4	no	—
902	C₂×C₄⋊C₄	—	28	2	no	—
903	C₂×C₄⋊C₄	—	28	2	no	—
904	C₂×C₄⋊C₄	—	28	2	no	—
905	C₂×C₄⋊C₄	—	28	2	no	—
906	C₂×C₄⋊C₄	—	28	2	no	—
907	C₂×C₄⋊C₄	—	28	2	no	—
908	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	7	1	no	—
919	C₂×C₂²⋊C₄	—	7	1	no	—
920	C₂×C₂²⋊C₄	—	7	1	no	—
921	C₂×C₂²⋊C₄	—	7	1	no	—
922	C₂×C₂²⋊C₄	—	7	1	no	—
923	C₂×C₂²⋊C₄	—	7	1	no	—
924	C₂×C₂²⋊C₄	—	7	1	no	—
925	C₂×C₂²⋊C₄	—	7	1	no	—
926	C₂×C₂²⋊C₄	—	7	1	no	—
927	C₂×C₂²⋊C₄	—	7	1	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	—	14	4	no	—
937	C₂×C₂²⋊C₄	—	14	4	no	—
938	C₂×C₂²⋊C₄	—	14	4	no	—
939	C₂×C₂²⋊C₄	—	14	4	no	—
940	C₂×C₂²⋊C₄	—	28	2	no	—
941	C₂×C₂²⋊C₄	—	28	2	no	—
942	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
948	C₂×C₄²	—	7	1	no	—
949	C₂×C₄²	—	7	1	no	—
950	C₂×C₄²	—	7	1	no	—
951	C₂×C₄²	—	7	1	no	—
952	C₂×C₄²	—	7	1	no	—
953	C₂×C₄²	—	7	1	no	—
954	C₂×C₄²	—	28	2	no	—
955	C₂×C₄²	—	28	2	no	—
956	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	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	C₂²×D₇	1	1	yes	characteristic
1007	#95	C₂²×D₇	1	1	yes	characteristic
1008	#95	C₂²×D₇	1	1	yes	characteristic
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	#95	C₂²×D₇	1	1	yes	characteristic
1022	C₂²×C₇	—	2	2	no	—
1023	C₂²×C₇	—	2	2	no	—
1024	C₂²×C₇	—	2	2	no	—
1025	C₂²×C₇	—	4	1	no	—
1026	C₂²×C₇	—	4	1	no	—
1027	C₂²×C₇	—	4	1	no	—
1028	C₂²×C₇	—	4	1	no	—
1029	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1030	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1031	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1032	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1033	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1035	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1036	C₂×D₇	—	2	2	no	—
1037	C₂×D₇	—	2	2	no	—
1038	C₂×D₇	—	2	2	no	—
1039	C₂×D₇	—	4	1	no	—
1040	C₂×D₇	—	4	1	no	—
1041	C₂×D₇	—	4	1	no	—
1042	C₂×D₇	—	4	1	no	—
1043	C₂×D₇	—	4	16	no	—
1044	C₂×D₇	#529	1	4	yes	—
1045	C₂×D₇	#538	1	4	yes	—
1046	C₂×D₇	#539	1	4	yes	—
1047	C₂×D₇	#539	1	4	yes	—
1048	C₂×D₇	#539	1	4	yes	—
1049	C₂×D₇	#541	1	4	yes	—
1050	C₂×D₇	#542	1	4	yes	—
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	C₄×C₇	—	4	1	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	Dic₇	—	4	1	no	—
1079	C₂⁴	—	7	1	no	—
1080	C₂⁴	—	7	4	no	—
1081	C₂⁴	—	7	1	no	—
1082	C₂⁴	—	14	2	no	—
1083	C₂⁴	—	14	2	no	—
1084	C₂⁴	—	14	2	no	—
1085	C₂⁴	—	14	2	no	—
1086	C₂⁴	—	14	2	no	—
1087	C₂⁴	—	14	2	no	—
1088	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	7	1	no	—
1093	C₂²×C₄	—	7	1	no	—
1094	C₂²×C₄	—	7	4	no	—
1095	C₂²×C₄	—	7	4	no	—
1096	C₂²×C₄	—	7	1	no	—
1097	C₂²×C₄	—	7	1	no	—
1098	C₂²×C₄	—	7	1	no	—
1099	C₂²×C₄	—	7	1	no	—
1100	C₂²×C₄	—	7	1	no	—
1101	C₂²×C₄	—	7	1	no	—
1102	C₂²×C₄	—	7	1	no	—
1103	C₂²×C₄	—	7	1	no	—
1104	C₂²×C₄	—	7	1	no	—
1105	C₂²×C₄	—	7	1	no	—
1106	C₂²×C₄	—	7	1	no	—
1107	C₂²×C₄	—	7	1	no	—
1108	C₂²×C₄	—	14	2	no	—
1109	C₂²×C₄	—	14	2	no	—
1110	C₂²×C₄	—	14	2	no	—
1111	C₂²×C₄	—	14	2	no	—
1112	C₂²×C₄	—	14	2	no	—
1113	C₂²×C₄	—	14	2	no	—
1114	C₂²×C₄	—	14	2	no	—
1115	C₂²×C₄	—	14	2	no	—
1116	C₂²×C₄	—	14	2	no	—
1117	C₂²×C₄	—	14	2	no	—
1118	C₂²×C₄	—	14	2	no	—
1119	C₂²×C₄	—	14	2	no	—
1120	C₂²×C₄	—	14	2	no	—
1121	C₂²×C₄	—	14	2	no	—
1122	C₂²×C₄	—	14	2	no	—
1123	C₂²×C₄	—	14	2	no	—
1124	C₂²×C₄	—	14	2	no	—
1125	C₂²×C₄	—	14	2	no	—
1126	C₂²×C₄	—	14	2	no	—
1127	C₂²×C₄	—	14	2	no	—
1128	C₂²×C₄	—	14	2	no	—
1129	C₂²×C₄	—	14	2	no	—
1130	C₂²×C₄	—	14	2	no	—
1131	C₂²×C₄	—	14	2	no	—
1132	C₂²×C₄	—	14	2	no	—
1133	C₂²×C₄	—	14	2	no	—
1134	C₂²×C₄	—	14	2	no	—
1135	C₂²×C₄	—	14	2	no	—
1136	C₂²×C₄	—	14	2	no	—
1137	C₂²×C₄	—	14	2	no	—
1138	C₂²×C₄	—	14	2	no	—
1139	C₂²×C₄	—	14	2	no	—
1140	C₂²×C₄	—	14	2	no	—
1141	C₂²×C₄	—	14	2	no	—
1142	C₂²×C₄	—	14	2	no	—
1143	C₂²×C₄	—	14	2	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	—	28	1	no	—
1152	C₂²×C₄	—	28	1	no	—
1153	C₂²×C₄	—	28	1	no	—
1154	C₂²×C₄	—	28	1	no	—
1155	C₂²×C₄	—	28	16	no	—
1156	C₂²×C₄	—	28	1	no	—
1157	C₂²×C₄	—	28	1	no	—
1158	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	14	2	no	—
1183	C₄⋊C₄	—	14	2	no	—
1184	C₄⋊C₄	—	14	2	no	—
1185	C₄⋊C₄	—	14	2	no	—
1186	C₄⋊C₄	—	14	2	no	—
1187	C₄⋊C₄	—	14	2	no	—
1188	C₄⋊C₄	—	14	2	no	—
1189	C₄⋊C₄	—	14	2	no	—
1190	C₄⋊C₄	—	14	2	no	—
1191	C₄⋊C₄	—	14	2	no	—
1192	C₄⋊C₄	—	14	2	no	—
1193	C₄⋊C₄	—	14	2	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	C₄⋊C₄	—	28	1	no	—
1211	C₄⋊C₄	—	28	1	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	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	—	14	2	no	—
1227	C₂²⋊C₄	—	14	2	no	—
1228	C₂²⋊C₄	—	14	2	no	—
1229	C₂²⋊C₄	—	14	2	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	C₄²	—	4	1	no	—
1237	C₄²	—	4	1	no	—
1238	C₄²	—	28	1	no	—
1239	C₄²	—	28	1	no	—
1240	C₄²	—	28	1	no	—
1241	C₄²	—	28	1	no	—
1242	C₄²	—	28	1	no	—
1243	C₄²	—	28	1	no	—
1244	C₂×C₇	—	4	2	no	—
1245	C₂×C₇	C₂×#529	1	1	yes	characteristic
1246	C₂×C₇	C₂×#538	1	1	yes	characteristic
1247	C₂×C₇	C₂×#539	1	1	yes	characteristic
1248	C₂×C₇	C₂×#539	1	1	yes	characteristic
1249	C₂×C₇	C₂×#539	1	1	yes	characteristic
1250	C₂×C₇	C₂×#541	1	1	yes	characteristic
1251	C₂×C₇	C₂×#542	1	1	yes	characteristic
1252	D₇	—	4	2	no	—
1253	D₇	#2652	1	8	yes	direct product factor
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	7	2	no	—
1261	C₂³	—	7	2	no	—
1262	C₂³	—	7	2	no	—
1263	C₂³	—	7	2	no	—
1264	C₂³	—	7	2	no	—
1265	C₂³	—	7	2	no	—
1266	C₂³	—	7	2	no	—
1267	C₂³	—	7	2	no	—
1268	C₂³	—	14	8	no	—
1269	C₂³	—	14	8	no	—
1270	C₂³	—	14	8	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	—	28	4	no	—
1278	C₂³	—	28	4	no	—
1279	C₂³	—	28	4	no	—
1280	C₂³	—	28	4	no	—
1281	C₂³	D₇×#41	1	2	yes	—
1282	C₂³	C₂⁴×D₇	1	1	yes	characteristic
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	—	2	1	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	—	4	4	no	—
1324	C₂×C₄	—	7	2	no	—
1325	C₂×C₄	—	7	2	no	—
1326	C₂×C₄	—	14	8	no	—
1327	C₂×C₄	—	14	8	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	—	14	1	no	—
1336	C₂×C₄	—	14	1	no	—
1337	C₂×C₄	—	14	1	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	—	28	4	no	—
1369	C₂×C₄	—	28	4	no	—
1370	C₂×C₄	—	28	4	no	—
1371	C₂×C₄	—	28	4	no	—
1372	C₂×C₄	—	28	4	no	—
1373	C₂×C₄	—	28	4	no	—
1374	C₂×C₄	—	28	4	no	—
1375	C₂×C₄	—	28	4	no	—
1376	C₂×C₄	—	28	4	no	—
1377	C₂×C₄	—	28	4	no	—
1378	C₂×C₄	—	28	4	no	—
1379	C₂×C₄	—	28	4	no	—
1380	C₂×C₄	—	28	4	no	—
1381	C₂×C₄	—	28	4	no	—
1382	C₂×C₄	—	28	4	no	—
1383	C₂×C₄	D₇×#41	1	2	yes	—
1384	C₂×C₄	D₇×#41	1	2	yes	—
1385	C₇	C₂×#2652	1	1	yes	characteristic, complemented, Sylow
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	7	4	no	—
1394	C₂²	—	7	4	no	—
1395	C₂²	—	7	4	no	—
1396	C₂²	—	7	4	no	—
1397	C₂²	—	7	4	no	—
1398	C₂²	—	7	4	no	—
1399	C₂²	—	7	4	no	—
1400	C₂²	—	14	2	no	—
1401	C₂²	—	14	2	no	—
1402	C₂²	—	14	2	no	—
1403	C₂²	—	28	16	no	—
1404	C₂²	—	28	1	no	—
1405	C₂²	—	28	1	no	—
1406	C₂²	—	28	1	no	—
1407	C₂²	—	28	1	no	—
1408	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1409	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1410	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1411	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1413	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1414	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	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	—	14	2	no	—
1430	C₄	—	14	2	no	—
1431	C₄	—	28	1	no	—
1432	C₄	—	28	1	no	—
1433	C₄	—	28	1	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	C₂	—	4	2	no	—
1444	C₂	—	7	8	no	—
1445	C₂	—	28	2	no	—
1446	C₂	D₇×#529	1	1	yes	characteristic
1447	C₂	D₇×#538	1	1	yes	characteristic
1448	C₂	D₇×#539	1	1	yes	characteristic
1449	C₂	D₇×#539	1	1	yes	characteristic
1450	C₂	D₇×#539	1	1	yes	characteristic
1451	C₂	D₇×#541	1	1	yes	characteristic
1452	C₂	D₇×#542	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2652	C₂
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2652	D₇
hypocenter	C₇	C₂×#2652
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2652

Complements

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

N	H ≅ G/N	type
1. C₇×#2652	C₂	semidirect
2. D₇×#400	C₂	semidirect
3. D₇×#400	C₂	semidirect
4. D₇×#400	C₂	semidirect
5. #11735670	C₂	semidirect
6. #11735669	C₂	semidirect
7. #11735668	C₂	semidirect
8. D₇×#398	C₂	semidirect
9. #11735275	C₂	semidirect
13. #11735004	C₂	semidirect
14. #11735003	C₂	semidirect
15. #11735002	C₂	semidirect
17. #11734787	C₂	semidirect
18. #11733699	C₂	semidirect
19. D₇×#389	C₂	semidirect
20. #11732830	C₂	semidirect
21. D₇×#387	C₂	semidirect
22. D₇×#387	C₂	semidirect
23. D₇×#387	C₂	semidirect
24. #11732582	C₂	semidirect
25. #11732581	C₂	semidirect
28. #11731951	C₂	semidirect
29. #11731950	C₂	semidirect
31. #11731000	C₂	semidirect
51. C₇×#400	C₂²	semidirect
52. C₇×#400	C₂²	semidirect
53. C₇×#400	C₂²	semidirect
54. C₇×#398	C₂²	semidirect
59. C₇×#389	C₂²	semidirect
60. C₇×#387	C₂²	semidirect
61. C₇×#387	C₂²	semidirect
62. C₇×#387	C₂²	semidirect
79. #89758	C₂²	semidirect
80. #89758	C₂²	semidirect
81. #89758	C₂²	semidirect
82. #89757	C₂²	semidirect
83. #89756	C₂²	semidirect
84. #89756	C₂²	semidirect
85. #89755	C₂²	semidirect
86. #89754	C₂²	semidirect
87. #89754	C₂²	semidirect
88. #89754	C₂²	semidirect
89. #89753	C₂²	semidirect
90. #89753	C₂²	semidirect
91. #89753	C₂²	semidirect
92. #89752	C₂²	semidirect
93. #89750	C₂²	semidirect
94. #89750	C₂²	semidirect
95. #89750	C₂²	semidirect
96. #89745	C₂²	semidirect
97. #89744	C₂²	semidirect
98. #89744	C₂²	semidirect
119. #89705	C₂²	semidirect
120. #89705	C₂²	semidirect
121. #89705	C₂²	semidirect
122. #89700	C₂²	semidirect
155. #89433	C₂²	semidirect
156. #89432	C₂²	semidirect
157. #89432	C₂²	semidirect
158. #89432	C₂²	semidirect
159. #89432	C₂²	semidirect
160. #89432	C₂²	semidirect
161. #89432	C₂²	semidirect
162. #89431	C₂²	semidirect
163. #89431	C₂²	semidirect
164. #89431	C₂²	semidirect
165. #89430	C₂²	semidirect
166. #89430	C₂²	semidirect
167. #89430	C₂²	semidirect
168. #89430	C₂²	semidirect
169. #89430	C₂²	semidirect
170. #89430	C₂²	semidirect
171. #89429	C₂²	semidirect
172. #89429	C₂²	semidirect
173. #89427	C₂²	semidirect
174. #89427	C₂²	semidirect
175. #89427	C₂²	semidirect
176. #89426	C₂²	semidirect
177. #89426	C₂²	semidirect
178. #89426	C₂²	semidirect
179. #89425	C₂²	semidirect
180. #89425	C₂²	semidirect
181. #89425	C₂²	semidirect
182. #89424	C₂²	semidirect
183. #89424	C₂²	semidirect
184. #89424	C₂²	semidirect
185. #89419	C₂²	semidirect
186. #89419	C₂²	semidirect
379. #2652	D₇	direct (N × H)
600. #400	C₂×D₇	semidirect
601. #400	C₂×D₇	semidirect
602. #400	C₂×D₇	semidirect
610. #398	C₂×D₇	semidirect
650. #389	C₂×D₇	semidirect
672. #387	C₂×D₇	semidirect
673. #387	C₂×D₇	semidirect
674. #387	C₂×D₇	semidirect
1253. D₇	#2652	direct (N × H)
1385. C₇	C₂×#2652	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2652	2
D₇×#400	2
#11735670	2
#11735669	2
#11735668	2
D₇×#398	2
#11735275	2
D₇×#397	2
#11735004	2
#11735003	2
#11735002	2
D₇×#396	2
#11734787	2
#11733699	2
D₇×#389	2
#11732830	2
D₇×#387	2
#11732582	2
#11732581	2
D₇×#385	2
#11731951	2
#11731950	2
C₄×D₇×C₂²⋊C₄	2
#11731000	2
C₂×#2652	7

Subgroups — D7×#2652 #13520267

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₇×#2652 #13520267