Subgroups — #13523762

Order 1792.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2493	C₂	1	1	yes	maximal, characteristic, complemented
2	#11735855	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735854	C₂	1	1	yes	maximal, characteristic, complemented
4	#11735596	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735595	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735594	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735577	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735577	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735577	C₂	1	1	yes	maximal, characteristic, complemented
10	#11732469	C₂	1	1	yes	maximal, characteristic, complemented
11	#11732468	C₂	1	1	yes	maximal, characteristic, complemented
12	#11732467	C₂	1	1	yes	maximal, characteristic, complemented
13	#11732387	C₂	1	1	yes	maximal, characteristic, complemented
14	#11732387	C₂	1	1	yes	maximal, characteristic, complemented
15	#11732387	C₂	1	1	yes	maximal, characteristic, complemented
16	#11731898	C₂	1	1	yes	maximal, characteristic
17	#11731897	C₂	1	1	yes	maximal, characteristic
18	#11731823	C₂	1	1	yes	maximal, characteristic, complemented
19	#11731823	C₂	1	1	yes	maximal, characteristic, complemented
20	#11731711	C₂	1	1	yes	maximal, characteristic, complemented
21	#11731704	C₂	1	1	yes	maximal, characteristic, complemented
22	#11731523	C₂	1	1	yes	maximal, characteristic, complemented
23	#11731522	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731495	C₂	1	1	yes	maximal, characteristic
25	#11731495	C₂	1	1	yes	maximal, characteristic
26	#11731354	C₂	1	1	yes	maximal, characteristic
27	#11731309	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731041	C₂	1	1	yes	maximal, characteristic
29	C₄×#6440	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730798	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#89438	C₂	1	1	yes	maximal, characteristic
32	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
33	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
34	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
36	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
37	C₂×#6461	C₂²	1	1	yes	characteristic
38	C₂×#6461	C₂²	1	1	yes	characteristic
39	C₂×#6461	C₂²	1	1	yes	characteristic
40	C₂×#6440	C₂²	1	1	yes	characteristic
41	C₂×#6440	C₂²	1	1	yes	characteristic
42	C₂×#6440	C₂²	1	1	yes	characteristic
43	C₂×#6440	C₂²	1	1	yes	characteristic
44	C₂×#6439	C₂²	1	1	yes	characteristic
45	C₇×#401	C₂²	1	1	yes	characteristic, complemented
46	C₇×#400	C₂²	1	1	yes	characteristic, complemented
47	C₇×#400	C₂²	1	1	yes	characteristic, complemented
48	C₇×#400	C₂²	1	1	yes	characteristic, complemented
49	C₇×#387	C₂²	1	1	yes	characteristic, complemented
50	C₇×#387	C₂²	1	1	yes	characteristic, complemented
51	C₇×#387	C₂²	1	1	yes	characteristic, complemented
52	C₇×#385	C₂²	1	1	yes	characteristic
53	C₇×#385	C₂²	1	1	yes	characteristic
54	C₇×#383	C₂²	1	1	yes	characteristic, complemented
55	C₇×#381	C₂²	1	1	yes	characteristic
56	C₇×#381	C₂²	1	1	yes	characteristic
57	C₇×#380	C₂²	1	1	yes	characteristic
58	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×C₇×#95	C₂²	1	1	yes	characteristic
60	#89984	C₂²	1	1	yes	characteristic
61	#89983	C₂²	1	1	yes	characteristic
62	#89983	C₂²	1	1	yes	characteristic
63	#89982	C₂²	1	1	yes	characteristic
64	#89982	C₂²	1	1	yes	characteristic
65	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
66	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
67	#89766	C₂²	1	1	yes	characteristic
68	#89766	C₂²	1	1	yes	characteristic
69	#89766	C₂²	1	1	yes	characteristic
70	#89765	C₂²	1	1	yes	characteristic
71	#89765	C₂²	1	1	yes	characteristic
72	#89765	C₂²	1	1	yes	characteristic
73	#89762	C₂²	1	1	yes	characteristic
74	#89762	C₂²	1	1	yes	characteristic
75	#89762	C₂²	1	1	yes	characteristic
76	#89748	C₂²	1	1	yes	characteristic, complemented
77	#89748	C₂²	1	1	yes	characteristic, complemented
78	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
79	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
80	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
81	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
82	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
83	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
84	#89744	C₂²	1	1	yes	characteristic, complemented
85	#89744	C₂²	1	1	yes	characteristic, complemented
86	#89744	C₂²	1	1	yes	characteristic, complemented
87	#89744	C₂²	1	1	yes	characteristic, complemented
88	#89727	C₂²	1	1	yes	characteristic
89	#89727	C₂²	1	1	yes	characteristic
90	#89727	C₂²	1	1	yes	characteristic
91	#89727	C₂²	1	1	yes	characteristic
92	#89722	C₂²	1	1	yes	characteristic
93	#89722	C₂²	1	1	yes	characteristic
94	#89718	C₂²	1	1	yes	characteristic
95	#89718	C₂²	1	1	yes	characteristic
96	#89714	C₂²	1	1	yes	characteristic
97	#89714	C₂²	1	1	yes	characteristic
98	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
99	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
100	#89712	C₂²	1	1	yes	characteristic
101	#89712	C₂²	1	1	yes	characteristic
102	#89712	C₂²	1	1	yes	characteristic
103	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₄²×Dic₇	C₂²	1	1	yes	characteristic, complemented
106	C₄²×Dic₇	C₂²	1	1	yes	characteristic, complemented
107	#89448	C₂²	1	1	yes	characteristic
108	#89447	C₂²	1	1	yes	characteristic
109	#89447	C₂²	1	1	yes	characteristic
110	#89447	C₂²	1	1	yes	characteristic
111	#89447	C₂²	1	1	yes	characteristic
112	#89447	C₂²	1	1	yes	characteristic
113	#89447	C₂²	1	1	yes	characteristic
114	#89446	C₂²	1	1	yes	characteristic
115	#89446	C₂²	1	1	yes	characteristic
116	#89446	C₂²	1	1	yes	characteristic
117	#89442	C₂²	1	1	yes	characteristic
118	#89442	C₂²	1	1	yes	characteristic
119	#89442	C₂²	1	1	yes	characteristic
120	#89441	C₂²	1	1	yes	characteristic
121	#89441	C₂²	1	1	yes	characteristic
122	#89441	C₂²	1	1	yes	characteristic
123	#89439	C₂²	1	1	yes	characteristic
124	#89439	C₂²	1	1	yes	characteristic
125	#89439	C₂²	1	1	yes	characteristic
126	#89439	C₂²	1	1	yes	characteristic
127	#89439	C₂²	1	1	yes	characteristic
128	#89439	C₂²	1	1	yes	characteristic
129	#89439	C₂²	1	1	yes	characteristic
130	#89439	C₂²	1	1	yes	characteristic
131	#89438	C₂²	1	1	yes	characteristic
132	#89438	C₂²	1	1	yes	characteristic
133	#89438	C₂²	1	1	yes	characteristic
134	#89438	C₂²	1	1	yes	characteristic
135	#89438	C₂²	1	1	yes	characteristic
136	#89438	C₂²	1	1	yes	characteristic
137	#89438	C₂²	1	1	yes	characteristic
138	#89438	C₂²	1	1	yes	characteristic
139	#89438	C₂²	1	1	yes	characteristic
140	#89438	C₂²	1	1	yes	characteristic
141	#89438	C₂²	1	1	yes	characteristic
142	#89438	C₂²	1	1	yes	characteristic
143	#89438	C₂²	1	1	yes	characteristic
144	#89438	C₂²	1	1	yes	characteristic
145	#89438	C₂²	1	1	yes	characteristic
146	#89438	C₂²	1	1	yes	characteristic
147	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
148	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
149	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
150	#89432	C₂²	1	1	yes	characteristic, complemented
151	#89432	C₂²	1	1	yes	characteristic, complemented
152	#89432	C₂²	1	1	yes	characteristic, complemented
153	#89431	C₂²	1	1	yes	characteristic, complemented
154	#89431	C₂²	1	1	yes	characteristic, complemented
155	#89431	C₂²	1	1	yes	characteristic, complemented
156	#89430	C₂²	1	1	yes	characteristic, complemented
157	#89430	C₂²	1	1	yes	characteristic, complemented
158	#89430	C₂²	1	1	yes	characteristic, complemented
159	#89427	C₂²	1	1	yes	characteristic, complemented
160	#89427	C₂²	1	1	yes	characteristic, complemented
161	#89427	C₂²	1	1	yes	characteristic, complemented
162	#89425	C₂²	1	1	yes	characteristic, complemented
163	#89425	C₂²	1	1	yes	characteristic, complemented
164	#89425	C₂²	1	1	yes	characteristic, complemented
165	#89424	C₂²	1	1	yes	characteristic, complemented
166	#89424	C₂²	1	1	yes	characteristic, complemented
167	#89424	C₂²	1	1	yes	characteristic, complemented
168	#89423	C₂²	1	1	yes	characteristic, complemented
169	#89423	C₂²	1	1	yes	characteristic, complemented
170	#89423	C₂²	1	1	yes	characteristic, complemented
171	#89422	C₂²	1	1	yes	characteristic, complemented
172	#89422	C₂²	1	1	yes	characteristic, complemented
173	#89421	C₂²	1	1	yes	characteristic, complemented
174	#89421	C₂²	1	1	yes	characteristic, complemented
175	#89421	C₂²	1	1	yes	characteristic, complemented
176	#89421	C₂²	1	1	yes	characteristic, complemented
177	#89421	C₂²	1	1	yes	characteristic, complemented
178	#89421	C₂²	1	1	yes	characteristic, complemented
179	#89421	C₂²	1	1	yes	characteristic, complemented
180	#89421	C₂²	1	1	yes	characteristic, complemented
181	#89420	C₂²	1	1	yes	characteristic, complemented
182	#89420	C₂²	1	1	yes	characteristic, complemented
183	#89419	C₂²	1	1	yes	characteristic, complemented
184	#89419	C₂²	1	1	yes	characteristic, complemented
185	#89419	C₂²	1	1	yes	characteristic, complemented
186	#89419	C₂²	1	1	yes	characteristic, complemented
187	#34814	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇	—	2	4	no	—
196	C₂²×C₄×D₇	—	2	4	no	—
197	C₂²×C₄×D₇	—	2	4	no	—
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	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
218	C₂×(C₂×D₇)⋊C₄	—	2	4	no	—
219	C₂×(C₂×D₇)⋊C₄	—	2	4	no	—
220	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	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×C₄×Dic₇	—	2	4	no	—
271	C₂×C₄×Dic₇	—	2	4	no	—
272	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇	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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
294	#6461	—	2	4	no	—
295	#6461	—	2	4	no	—
296	#6461	—	2	4	no	—
297	#6440	—	2	4	no	—
298	#6440	—	2	4	no	—
299	#6440	—	2	4	no	—
300	#6440	—	2	4	no	—
301	#6439	—	2	4	no	—
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	#2497	—	7	1	no	—
359	#2497	—	7	1	no	—
360	#2496	—	7	1	no	—
361	#2496	—	7	1	no	—
362	#2495	—	7	1	no	—
363	#2495	—	7	1	no	—
364	#2494	—	7	1	no	—
365	#2494	—	7	1	no	—
366	#2493	—	7	1	no	—
367	#2493	—	7	1	no	—
368	#2493	—	7	1	no	—
369	#2493	D₇	1	1	yes	characteristic, complemented
370	#2480	—	7	1	no	—
371	#2480	—	7	1	no	—
372	#2480	—	7	1	no	—
373	#2480	—	7	1	no	—
374	#2401	—	7	1	no	—
375	#2401	—	7	1	no	—
376	#2401	—	7	1	no	—
377	#2401	—	7	1	no	—
378	C₄×#126	—	7	1	no	—
379	C₄×#126	—	7	1	no	—
380	C₄×#126	—	7	1	no	—
381	C₄×#126	—	7	1	no	—
382	#2296	—	7	1	no	—
383	#2296	—	7	1	no	—
384	#2285	—	7	1	no	—
385	#2280	—	7	1	no	—
386	#2280	—	7	1	no	—
387	C₄×#117	—	7	1	no	—
388	C₂×C₄×C₂²⋊C₄	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂³×D₇	—	2	2	no	—
391	C₂³×D₇	—	2	2	no	—
392	C₂³×D₇	—	2	2	no	—
393	C₂³×D₇	—	2	2	no	—
394	C₂³×D₇	—	2	2	no	—
395	C₂³×D₇	—	4	1	no	—
396	C₂³×D₇	—	4	1	no	—
397	C₂³×D₇	C₂⁴	1	1	yes	characteristic
398	C₂³×D₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	—	2	2	no	—
400	C₂²×C₄×C₇	—	2	2	no	—
401	C₂²×C₄×C₇	—	2	2	no	—
402	C₂²×C₄×C₇	—	2	2	no	—
403	C₂²×C₄×C₇	—	2	2	no	—
404	C₂²×C₄×C₇	—	2	2	no	—
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	—	2	2	no	—
424	C₂²×Dic₇	—	2	2	no	—
425	C₂²×Dic₇	—	2	2	no	—
426	C₂²×Dic₇	—	4	1	no	—
427	C₂²×Dic₇	—	4	1	no	—
428	C₂²×Dic₇	#41	1	4	yes	—
429	C₂²×Dic₇	#41	1	4	yes	—
430	C₂²×Dic₇	#41	1	4	yes	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
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	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	—	4	16	no	—
458	C₇×C₄⋊C₄	—	2	2	no	—
459	C₇×C₄⋊C₄	—	2	2	no	—
460	C₇×C₄⋊C₄	—	2	2	no	—
461	C₇×C₄⋊C₄	—	4	1	no	—
462	C₇×C₄⋊C₄	—	4	1	no	—
463	C₇×C₄⋊C₄	—	4	1	no	—
464	C₇×C₂²⋊C₄	—	2	2	no	—
465	C₇×C₂²⋊C₄	—	2	2	no	—
466	C₇×C₂²⋊C₄	—	2	2	no	—
467	C₇×C₂²⋊C₄	—	2	2	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	—	4	1	no	—
470	C₂²⋊Dic₇	—	2	2	no	—
471	C₂²⋊Dic₇	—	2	2	no	—
472	C₂²⋊Dic₇	—	2	2	no	—
473	C₂²⋊Dic₇	—	2	2	no	—
474	(C₂×D₇)⋊C₄	—	2	2	no	—
475	(C₂×D₇)⋊C₄	—	2	2	no	—
476	(C₂×D₇)⋊C₄	—	2	2	no	—
477	(C₂×D₇)⋊C₄	—	2	2	no	—
478	(C₂×D₇)⋊C₄	—	2	2	no	—
479	(C₂×D₇)⋊C₄	—	2	2	no	—
480	(C₂×D₇)⋊C₄	—	2	2	no	—
481	(C₂×D₇)⋊C₄	—	2	2	no	—
482	(C₂×D₇)⋊C₄	—	2	2	no	—
483	(C₂×D₇)⋊C₄	—	2	2	no	—
484	(C₂×D₇)⋊C₄	—	2	2	no	—
485	(C₂×D₇)⋊C₄	—	2	2	no	—
486	(C₂×D₇)⋊C₄	—	2	2	no	—
487	(C₂×D₇)⋊C₄	—	2	2	no	—
488	(C₂×D₇)⋊C₄	—	4	1	no	—
489	(C₂×D₇)⋊C₄	—	4	1	no	—
490	(C₂×D₇)⋊C₄	—	4	1	no	—
491	(C₂×D₇)⋊C₄	—	4	1	no	—
492	(C₂×D₇)⋊C₄	—	4	1	no	—
493	(C₂×D₇)⋊C₄	—	4	1	no	—
494	(C₂×D₇)⋊C₄	—	4	1	no	—
495	(C₂×D₇)⋊C₄	—	4	1	no	—
496	(C₂×D₇)⋊C₄	#41	1	4	yes	—
497	(C₂×D₇)⋊C₄	#41	1	4	yes	—
498	C₄⋊Dic₇	—	2	2	no	—
499	C₄⋊Dic₇	—	2	2	no	—
500	C₄⋊Dic₇	—	2	2	no	—
501	C₄⋊Dic₇	—	4	1	no	—
502	C₄⋊Dic₇	—	4	1	no	—
503	C₄⋊Dic₇	—	4	1	no	—
504	Dic₇⋊C₄	—	2	2	no	—
505	Dic₇⋊C₄	—	2	2	no	—
506	Dic₇⋊C₄	—	2	2	no	—
507	Dic₇⋊C₄	—	2	2	no	—
508	Dic₇⋊C₄	—	2	2	no	—
509	Dic₇⋊C₄	—	2	2	no	—
510	Dic₇⋊C₄	—	2	2	no	—
511	Dic₇⋊C₄	—	2	2	no	—
512	Dic₇⋊C₄	—	2	2	no	—
513	Dic₇⋊C₄	—	2	2	no	—
514	Dic₇⋊C₄	—	2	2	no	—
515	Dic₇⋊C₄	—	2	2	no	—
516	Dic₇⋊C₄	—	2	2	no	—
517	Dic₇⋊C₄	—	2	2	no	—
518	Dic₇⋊C₄	—	4	1	no	—
519	Dic₇⋊C₄	—	4	1	no	—
520	Dic₇⋊C₄	—	4	1	no	—
521	Dic₇⋊C₄	—	4	1	no	—
522	Dic₇⋊C₄	—	4	1	no	—
523	Dic₇⋊C₄	—	4	1	no	—
524	C₄×Dic₇	—	2	2	no	—
525	C₄×Dic₇	—	2	2	no	—
526	C₄×Dic₇	—	2	2	no	—
527	C₄×Dic₇	—	2	2	no	—
528	C₄×Dic₇	—	2	2	no	—
529	C₄×Dic₇	—	2	2	no	—
530	C₄×Dic₇	—	2	2	no	—
531	C₄×Dic₇	—	2	2	no	—
532	C₄×Dic₇	—	2	2	no	—
533	C₄×Dic₇	—	2	2	no	—
534	C₄×Dic₇	—	2	2	no	—
535	C₄×Dic₇	—	2	2	no	—
536	C₄×Dic₇	—	2	2	no	—
537	C₄×Dic₇	—	2	2	no	—
538	C₄×Dic₇	—	2	2	no	—
539	C₄×Dic₇	—	2	2	no	—
540	C₄×Dic₇	—	2	2	no	—
541	C₄×Dic₇	—	2	2	no	—
542	C₄×Dic₇	—	2	2	no	—
543	C₄×Dic₇	—	4	1	no	—
544	C₄×Dic₇	—	4	1	no	—
545	C₄×Dic₇	—	4	1	no	—
546	C₂⁴×C₄	—	7	1	no	—
547	C₂×#126	—	7	1	no	—
548	C₂×#126	—	7	1	no	—
549	C₂×#126	—	7	1	no	—
550	C₂×#126	—	7	1	no	—
551	C₂×#117	—	7	1	no	—
552	C₂×#117	—	7	1	no	—
553	C₂×#117	—	7	1	no	—
554	C₂×#117	—	7	1	no	—
555	C₂²×C₂²⋊C₄	—	7	1	no	—
556	C₂²×C₂²⋊C₄	—	7	1	no	—
557	C₂²×C₄²	—	7	1	no	—
558	C₂²×C₄²	—	7	1	no	—
559	#401	—	7	1	no	—
560	#401	—	7	1	no	—
561	#401	—	7	1	no	—
562	#401	C₂×D₇	1	1	yes	characteristic, complemented
563	#400	—	7	1	no	—
564	#400	—	7	1	no	—
565	#400	—	7	1	no	—
566	#400	—	7	1	no	—
567	#400	—	7	1	no	—
568	#400	—	7	1	no	—
569	#400	—	7	1	no	—
570	#400	—	7	1	no	—
571	#400	—	7	1	no	—
572	#400	C₂×D₇	1	1	yes	characteristic, complemented
573	#400	C₂×D₇	1	1	yes	characteristic, complemented
574	#400	C₂×D₇	1	1	yes	characteristic, complemented
575	#397	—	7	1	no	—
576	#397	—	7	1	no	—
577	#397	—	7	1	no	—
578	#397	—	7	1	no	—
579	#397	—	7	1	no	—
580	#397	—	7	1	no	—
581	#397	—	7	1	no	—
582	#397	—	7	1	no	—
583	#397	—	7	1	no	—
584	#397	—	7	1	no	—
585	#397	—	7	1	no	—
586	#397	—	7	1	no	—
587	#396	—	7	1	no	—
588	#396	—	7	1	no	—
589	#396	—	7	1	no	—
590	#396	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	—	7	1	no	—
594	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#389	—	7	1	no	—
597	#389	—	7	1	no	—
598	#389	—	7	1	no	—
599	#388	—	7	1	no	—
600	#388	—	7	1	no	—
601	#388	—	7	1	no	—
602	#388	—	7	1	no	—
603	#388	—	7	1	no	—
604	#388	—	7	1	no	—
605	#388	—	7	1	no	—
606	#388	—	7	1	no	—
607	#388	—	7	1	no	—
608	#388	—	7	1	no	—
609	#388	—	7	1	no	—
610	#388	—	7	1	no	—
611	#387	—	7	1	no	—
612	#387	—	7	1	no	—
613	#387	—	7	1	no	—
614	#387	—	7	1	no	—
615	#387	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	C₂×D₇	1	1	yes	characteristic, complemented
621	#387	C₂×D₇	1	1	yes	characteristic, complemented
622	#387	C₂×D₇	1	1	yes	characteristic, complemented
623	#385	—	7	1	no	—
624	#385	—	7	1	no	—
625	#385	—	7	1	no	—
626	#385	—	7	1	no	—
627	#385	—	7	1	no	—
628	#385	—	7	1	no	—
629	#385	C₂×D₇	1	1	yes	characteristic
630	#385	C₂×D₇	1	1	yes	characteristic
631	#384	—	7	1	no	—
632	#384	—	7	1	no	—
633	#383	—	7	1	no	—
634	#383	—	7	1	no	—
635	#383	—	7	1	no	—
636	#383	C₂×D₇	1	1	yes	characteristic, complemented
637	#382	—	7	1	no	—
638	#382	—	7	1	no	—
639	#381	—	7	1	no	—
640	#381	—	7	1	no	—
641	#381	C₂×D₇	1	1	yes	characteristic
642	#381	C₂×D₇	1	1	yes	characteristic
643	#380	—	7	1	no	—
644	#380	—	7	1	no	—
645	#380	—	7	1	no	—
646	#380	—	7	1	no	—
647	#380	—	7	1	no	—
648	#380	—	7	1	no	—
649	#380	—	7	1	no	—
650	#380	—	7	1	no	—
651	#380	—	7	1	no	—
652	#380	—	7	1	no	—
653	#380	—	7	1	no	—
654	#380	C₂×D₇	1	1	yes	characteristic
655	#379	—	7	1	no	—
656	#379	—	7	1	no	—
657	#379	—	7	1	no	—
658	#379	—	7	1	no	—
659	C₄×C₄⋊C₄	—	7	1	no	—
660	C₄×C₄⋊C₄	—	7	1	no	—
661	C₄×C₄⋊C₄	—	7	1	no	—
662	C₄×C₄⋊C₄	—	7	1	no	—
663	C₄×C₄⋊C₄	—	7	1	no	—
664	C₄×C₄⋊C₄	—	7	1	no	—
665	C₄×C₄⋊C₄	—	7	1	no	—
666	C₄×C₄⋊C₄	—	7	1	no	—
667	C₄×C₄⋊C₄	—	7	1	no	—
668	C₄×C₄⋊C₄	—	7	1	no	—
669	C₄×C₄⋊C₄	—	7	1	no	—
670	C₄×C₄⋊C₄	—	7	1	no	—
671	C₄×C₄⋊C₄	—	7	1	no	—
672	C₄×C₄⋊C₄	—	7	1	no	—
673	C₄×C₄⋊C₄	—	7	1	no	—
674	C₄×C₄⋊C₄	—	7	1	no	—
675	C₄×C₂²⋊C₄	—	7	1	no	—
676	C₄×C₂²⋊C₄	—	7	1	no	—
677	C₄×C₂²⋊C₄	—	7	1	no	—
678	C₄×C₂²⋊C₄	—	7	1	no	—
679	C₄×C₂²⋊C₄	—	7	1	no	—
680	C₄×C₂²⋊C₄	—	7	1	no	—
681	C₄×C₂²⋊C₄	—	7	1	no	—
682	C₄×C₂²⋊C₄	—	7	1	no	—
683	C₄×C₂²⋊C₄	—	7	1	no	—
684	C₄×C₂²⋊C₄	—	7	1	no	—
685	C₄×C₂²⋊C₄	—	7	1	no	—
686	C₄×C₂²⋊C₄	—	7	1	no	—
687	C₄×C₂²⋊C₄	—	7	1	no	—
688	C₄×C₂²⋊C₄	—	7	1	no	—
689	C₄×C₂²⋊C₄	—	7	1	no	—
690	C₄×C₂²⋊C₄	—	7	1	no	—
691	C₄×C₂²⋊C₄	—	7	1	no	—
692	C₄×C₂²⋊C₄	—	7	1	no	—
693	C₄×C₂²⋊C₄	—	7	1	no	—
694	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
695	#376	—	7	1	no	—
696	#376	—	7	1	no	—
697	C₂×#95	—	7	1	no	—
698	C₂×#95	C₂×D₇	1	1	yes	characteristic
699	C₄³	—	7	1	no	—
700	C₄³	—	7	1	no	—
701	C₂³×C₇	—	2	1	no	—
702	C₂³×C₇	—	2	1	no	—
703	C₂³×C₇	—	2	1	no	—
704	C₂³×C₇	—	2	1	no	—
705	C₂³×C₇	C₂×#41	1	2	yes	—
706	C₂³×C₇	C₂×#41	1	2	yes	—
707	C₂³×C₇	C₂×#41	1	2	yes	—
708	C₂³×C₇	C₂⁵	1	1	yes	characteristic
709	C₂²×D₇	—	2	8	no	—
710	C₂²×D₇	—	2	1	no	—
711	C₂²×D₇	—	2	1	no	—
712	C₂²×D₇	—	2	1	no	—
713	C₂²×D₇	—	2	1	no	—
714	C₂²×D₇	—	2	1	no	—
715	C₂²×D₇	—	2	1	no	—
716	C₂²×D₇	—	2	1	no	—
717	C₂²×D₇	—	2	1	no	—
718	C₂²×D₇	—	2	1	no	—
719	C₂²×D₇	—	2	1	no	—
720	C₂²×D₇	—	2	1	no	—
721	C₂²×D₇	—	2	1	no	—
722	C₂²×D₇	—	4	4	no	—
723	C₂²×D₇	—	4	4	no	—
724	C₂²×D₇	—	4	4	no	—
725	C₂²×D₇	—	4	4	no	—
726	C₂²×D₇	—	4	4	no	—
727	C₂²×D₇	—	4	4	no	—
728	C₂²×D₇	C₂×#41	1	2	yes	—
729	C₂²×D₇	C₂×#41	1	2	yes	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	2	1	no	—
750	C₂×C₄×C₇	—	2	1	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	1	no	—
753	C₂×C₄×C₇	—	2	1	no	—
754	C₂×C₄×C₇	—	2	1	no	—
755	C₂×C₄×C₇	—	2	1	no	—
756	C₂×C₄×C₇	—	2	1	no	—
757	C₂×C₄×C₇	—	2	1	no	—
758	C₂×C₄×C₇	—	2	1	no	—
759	C₂×C₄×C₇	—	2	1	no	—
760	C₂×C₄×C₇	—	2	1	no	—
761	C₂×C₄×C₇	—	2	1	no	—
762	C₂×C₄×C₇	—	2	1	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	4	4	no	—
771	C₂×C₄×C₇	—	4	4	no	—
772	C₂×C₄×C₇	—	4	4	no	—
773	C₂×C₄×C₇	C₂×#41	1	2	yes	—
774	C₂×C₄×C₇	C₂×#41	1	2	yes	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	—	2	1	no	—
792	C₂×Dic₇	—	2	1	no	—
793	C₂×Dic₇	—	2	1	no	—
794	C₂×Dic₇	—	2	1	no	—
795	C₂×Dic₇	—	2	1	no	—
796	C₂×Dic₇	—	2	1	no	—
797	C₂×Dic₇	—	2	1	no	—
798	C₂×Dic₇	—	2	1	no	—
799	C₂×Dic₇	—	2	1	no	—
800	C₂×Dic₇	—	2	1	no	—
801	C₂×Dic₇	—	2	1	no	—
802	C₂×Dic₇	—	2	1	no	—
803	C₂×Dic₇	—	2	1	no	—
804	C₂×Dic₇	—	2	1	no	—
805	C₂×Dic₇	—	2	1	no	—
806	C₂×Dic₇	—	2	1	no	—
807	C₂×Dic₇	—	2	1	no	—
808	C₂×Dic₇	—	2	1	no	—
809	C₂×Dic₇	—	4	4	no	—
810	C₂×Dic₇	—	4	4	no	—
811	C₂×Dic₇	#126	1	16	yes	complemented
812	C₂×Dic₇	C₂×#41	1	2	yes	—
813	C₂×Dic₇	C₂×#41	1	2	yes	—
814	C₂×Dic₇	C₂×#41	1	2	yes	—
815	C₂×Dic₇	C₂×#41	1	2	yes	—
816	C₂×Dic₇	C₂×#41	1	2	yes	—
817	C₂×Dic₇	C₂×#41	1	2	yes	—
818	C₂×Dic₇	C₂×#41	1	2	yes	—
819	C₂×Dic₇	C₂×#41	1	2	yes	—
820	C₄×D₇	—	4	4	no	—
821	C₄×D₇	—	4	4	no	—
822	C₄×D₇	—	4	4	no	—
823	C₄×D₇	—	4	4	no	—
824	C₂⁵	—	7	1	no	—
825	C₂³×C₄	—	7	1	no	—
826	C₂³×C₄	—	7	1	no	—
827	C₂³×C₄	—	7	1	no	—
828	C₂³×C₄	—	7	1	no	—
829	C₂³×C₄	—	7	1	no	—
830	C₂³×C₄	—	7	1	no	—
831	C₂³×C₄	—	7	1	no	—
832	C₂³×C₄	—	14	4	no	—
833	C₂³×C₄	—	14	4	no	—
834	C₂³×C₄	—	14	4	no	—
835	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
836	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
837	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
838	#126	—	14	4	no	—
839	#126	—	14	4	no	—
840	#126	—	14	4	no	—
841	#126	—	14	4	no	—
842	#117	—	14	4	no	—
843	#117	—	14	4	no	—
844	#117	—	14	4	no	—
845	#117	—	14	4	no	—
846	C₂×C₄⋊C₄	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	—	7	1	no	—
849	C₂×C₄⋊C₄	—	7	1	no	—
850	C₂×C₄⋊C₄	—	7	1	no	—
851	C₂×C₄⋊C₄	—	7	1	no	—
852	C₂×C₄⋊C₄	—	7	1	no	—
853	C₂×C₄⋊C₄	—	7	1	no	—
854	C₂×C₄⋊C₄	—	7	1	no	—
855	C₂×C₄⋊C₄	—	7	1	no	—
856	C₂×C₄⋊C₄	—	7	1	no	—
857	C₂×C₄⋊C₄	—	7	1	no	—
858	C₂×C₄⋊C₄	—	7	1	no	—
859	C₂×C₄⋊C₄	—	7	1	no	—
860	C₂×C₄⋊C₄	—	7	1	no	—
861	C₂×C₄⋊C₄	—	7	1	no	—
862	C₂×C₄⋊C₄	—	7	1	no	—
863	C₂×C₄⋊C₄	—	7	1	no	—
864	C₂×C₄⋊C₄	—	7	1	no	—
865	C₂×C₄⋊C₄	—	7	1	no	—
866	C₂×C₄⋊C₄	—	7	1	no	—
867	C₂×C₄⋊C₄	—	7	1	no	—
868	C₂×C₄⋊C₄	—	7	1	no	—
869	C₂×C₄⋊C₄	—	7	1	no	—
870	C₂×C₄⋊C₄	—	7	1	no	—
871	C₂×C₄⋊C₄	—	7	1	no	—
872	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	—	7	1	no	—
879	C₂×C₂²⋊C₄	—	7	1	no	—
880	C₂×C₂²⋊C₄	—	7	1	no	—
881	C₂×C₂²⋊C₄	—	7	1	no	—
882	C₂×C₂²⋊C₄	—	7	1	no	—
883	C₂×C₂²⋊C₄	—	7	1	no	—
884	C₂×C₂²⋊C₄	—	7	1	no	—
885	C₂×C₂²⋊C₄	—	7	1	no	—
886	C₂×C₂²⋊C₄	—	7	1	no	—
887	C₂×C₂²⋊C₄	—	7	1	no	—
888	C₂×C₂²⋊C₄	—	7	1	no	—
889	C₂×C₂²⋊C₄	—	7	1	no	—
890	C₂×C₂²⋊C₄	—	7	1	no	—
891	C₂×C₂²⋊C₄	—	7	1	no	—
892	C₂×C₂²⋊C₄	—	7	1	no	—
893	C₂×C₂²⋊C₄	—	7	1	no	—
894	C₂×C₂²⋊C₄	—	7	1	no	—
895	C₂×C₂²⋊C₄	—	7	1	no	—
896	C₂×C₂²⋊C₄	—	7	1	no	—
897	C₂×C₂²⋊C₄	—	7	1	no	—
898	C₂×C₂²⋊C₄	—	7	1	no	—
899	C₂×C₂²⋊C₄	—	7	1	no	—
900	C₂×C₂²⋊C₄	—	7	1	no	—
901	C₂×C₂²⋊C₄	—	7	1	no	—
902	C₂×C₂²⋊C₄	—	7	1	no	—
903	C₂×C₂²⋊C₄	—	7	1	no	—
904	C₂×C₂²⋊C₄	—	7	1	no	—
905	C₂×C₂²⋊C₄	—	7	1	no	—
906	C₂×C₂²⋊C₄	—	14	4	no	—
907	C₂×C₂²⋊C₄	—	14	4	no	—
908	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
912	C₂×C₄²	—	7	1	no	—
913	C₂×C₄²	—	7	1	no	—
914	C₂×C₄²	—	7	1	no	—
915	C₂×C₄²	—	7	1	no	—
916	C₂×C₄²	—	7	1	no	—
917	C₂×C₄²	—	7	1	no	—
918	C₂×C₄²	—	7	1	no	—
919	C₂×C₄²	—	7	1	no	—
920	C₂×C₄²	—	7	1	no	—
921	C₂×C₄²	—	7	1	no	—
922	C₂×C₄²	—	7	1	no	—
923	C₂×C₄²	—	7	1	no	—
924	C₂×C₄²	—	7	1	no	—
925	C₂×C₄²	—	7	1	no	—
926	C₂×C₄²	—	7	1	no	—
927	C₂×C₄²	—	7	1	no	—
928	C₂×C₄²	—	7	1	no	—
929	C₂×C₄²	—	7	1	no	—
930	C₂×C₄²	—	7	1	no	—
931	C₂×C₄²	—	7	1	no	—
932	C₂×C₄²	—	7	1	no	—
933	C₂×C₄²	—	7	1	no	—
934	C₂×C₄²	—	14	4	no	—
935	C₂×C₄²	—	14	4	no	—
936	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
937	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	—	7	1	no	—
959	#95	—	7	1	no	—
960	#95	—	7	1	no	—
961	#95	—	7	1	no	—
962	#95	—	7	1	no	—
963	#95	—	7	1	no	—
964	#95	—	7	1	no	—
965	#95	—	7	1	no	—
966	#95	—	7	1	no	—
967	#95	—	7	1	no	—
968	#95	—	7	1	no	—
969	#95	—	7	1	no	—
970	#95	—	7	1	no	—
971	#95	—	7	1	no	—
972	#95	—	7	1	no	—
973	#95	—	7	1	no	—
974	#95	C₂²×D₇	1	1	yes	characteristic
975	#95	C₂²×D₇	1	1	yes	characteristic
976	#95	C₂²×D₇	1	1	yes	characteristic
977	#95	C₂²×D₇	1	1	yes	characteristic
978	#95	C₂²×D₇	1	1	yes	characteristic
979	#95	C₂²×D₇	1	1	yes	characteristic
980	#95	C₂²×D₇	1	1	yes	characteristic
981	#95	C₂²×D₇	1	1	yes	characteristic
982	#95	C₂²×D₇	1	1	yes	characteristic
983	#95	C₂²×D₇	1	1	yes	characteristic
984	#95	C₂²×D₇	1	1	yes	characteristic
985	#95	C₂²×D₇	1	1	yes	characteristic
986	#95	C₂²×D₇	1	1	yes	characteristic
987	#95	C₂²×D₇	1	1	yes	characteristic
988	#95	C₂²×D₇	1	1	yes	characteristic
989	#95	C₂²×D₇	1	1	yes	characteristic
990	#95	C₂²×D₇	1	1	yes	characteristic
991	#95	C₂²×D₇	1	1	yes	characteristic
992	#95	C₂²×D₇	1	1	yes	characteristic
993	#95	C₂²×D₇	1	1	yes	characteristic
994	C₂²×C₇	—	2	2	no	—
995	C₂²×C₇	—	2	2	no	—
996	C₂²×C₇	—	2	2	no	—
997	C₂²×C₇	—	2	2	no	—
998	C₂²×C₇	—	2	2	no	—
999	C₂²×C₇	—	2	2	no	—
1000	C₂²×C₇	C₂×#126	1	4	yes	—
1001	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1002	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1003	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1004	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1005	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1006	C₂²×C₇	#585	1	1	yes	characteristic
1007	C₂²×C₇	#585	1	1	yes	characteristic
1008	C₂×D₇	—	2	2	no	—
1009	C₂×D₇	—	2	2	no	—
1010	C₂×D₇	—	2	2	no	—
1011	C₂×D₇	—	2	2	no	—
1012	C₂×D₇	—	2	2	no	—
1013	C₂×D₇	—	2	2	no	—
1014	C₂×D₇	—	4	16	no	—
1015	C₂×D₇	—	4	1	no	—
1016	C₂×D₇	—	4	1	no	—
1017	C₂×D₇	—	4	1	no	—
1018	C₂×D₇	—	4	1	no	—
1019	C₂×D₇	—	4	1	no	—
1020	C₂×D₇	—	4	1	no	—
1021	C₂×D₇	—	4	1	no	—
1022	C₂×D₇	—	4	1	no	—
1023	C₄×C₇	—	2	2	no	—
1024	C₄×C₇	—	2	2	no	—
1025	C₄×C₇	—	4	1	no	—
1026	C₄×C₇	—	4	1	no	—
1027	C₄×C₇	—	4	1	no	—
1028	C₄×C₇	—	4	1	no	—
1029	C₄×C₇	—	4	1	no	—
1030	C₄×C₇	—	4	1	no	—
1031	C₄×C₇	—	4	1	no	—
1032	C₄×C₇	—	4	1	no	—
1033	C₄×C₇	—	4	1	no	—
1034	C₄×C₇	—	4	1	no	—
1035	C₄×C₇	—	4	1	no	—
1036	C₄×C₇	—	4	1	no	—
1037	Dic₇	—	2	2	no	—
1038	Dic₇	—	2	2	no	—
1039	Dic₇	—	4	1	no	—
1040	Dic₇	—	4	1	no	—
1041	Dic₇	—	4	1	no	—
1042	Dic₇	—	4	1	no	—
1043	Dic₇	—	4	1	no	—
1044	Dic₇	—	4	1	no	—
1045	Dic₇	—	4	1	no	—
1046	Dic₇	—	4	1	no	—
1047	Dic₇	—	4	1	no	—
1048	Dic₇	—	4	1	no	—
1049	Dic₇	C₂×#126	1	4	yes	—
1050	Dic₇	C₂×#126	1	4	yes	—
1051	C₂⁴	—	7	1	no	—
1052	C₂⁴	—	7	1	no	—
1053	C₂⁴	—	14	2	no	—
1054	C₂⁴	—	14	2	no	—
1055	C₂⁴	—	14	2	no	—
1056	C₂⁴	—	14	2	no	—
1057	C₂⁴	—	14	2	no	—
1058	C₂⁴	—	28	1	no	—
1059	C₂⁴	—	28	1	no	—
1060	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	2	2	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	7	4	no	—
1071	C₂²×C₄	—	7	4	no	—
1072	C₂²×C₄	—	7	4	no	—
1073	C₂²×C₄	—	7	1	no	—
1074	C₂²×C₄	—	7	1	no	—
1075	C₂²×C₄	—	7	1	no	—
1076	C₂²×C₄	—	7	1	no	—
1077	C₂²×C₄	—	7	1	no	—
1078	C₂²×C₄	—	7	1	no	—
1079	C₂²×C₄	—	7	1	no	—
1080	C₂²×C₄	—	7	1	no	—
1081	C₂²×C₄	—	7	1	no	—
1082	C₂²×C₄	—	7	1	no	—
1083	C₂²×C₄	—	7	1	no	—
1084	C₂²×C₄	—	7	1	no	—
1085	C₂²×C₄	—	7	1	no	—
1086	C₂²×C₄	—	7	1	no	—
1087	C₂²×C₄	—	14	2	no	—
1088	C₂²×C₄	—	14	2	no	—
1089	C₂²×C₄	—	14	2	no	—
1090	C₂²×C₄	—	14	2	no	—
1091	C₂²×C₄	—	14	2	no	—
1092	C₂²×C₄	—	14	2	no	—
1093	C₂²×C₄	—	14	2	no	—
1094	C₂²×C₄	—	14	2	no	—
1095	C₂²×C₄	—	14	2	no	—
1096	C₂²×C₄	—	14	2	no	—
1097	C₂²×C₄	—	14	2	no	—
1098	C₂²×C₄	—	14	2	no	—
1099	C₂²×C₄	—	14	2	no	—
1100	C₂²×C₄	—	14	2	no	—
1101	C₂²×C₄	—	14	2	no	—
1102	C₂²×C₄	—	14	2	no	—
1103	C₂²×C₄	—	28	16	no	—
1104	C₂²×C₄	—	28	1	no	—
1105	C₂²×C₄	—	28	1	no	—
1106	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	14	2	no	—
1127	C₄⋊C₄	—	14	2	no	—
1128	C₄⋊C₄	—	14	2	no	—
1129	C₄⋊C₄	—	14	2	no	—
1130	C₄⋊C₄	—	14	2	no	—
1131	C₄⋊C₄	—	14	2	no	—
1132	C₄⋊C₄	—	14	2	no	—
1133	C₄⋊C₄	—	14	2	no	—
1134	C₄⋊C₄	—	14	2	no	—
1135	C₄⋊C₄	—	14	2	no	—
1136	C₄⋊C₄	—	14	2	no	—
1137	C₄⋊C₄	—	14	2	no	—
1138	C₄⋊C₄	—	14	2	no	—
1139	C₄⋊C₄	—	14	2	no	—
1140	C₄⋊C₄	—	14	2	no	—
1141	C₄⋊C₄	—	14	2	no	—
1142	C₄⋊C₄	—	14	2	no	—
1143	C₄⋊C₄	—	28	1	no	—
1144	C₄⋊C₄	—	28	1	no	—
1145	C₄⋊C₄	—	28	1	no	—
1146	C₄⋊C₄	—	28	1	no	—
1147	C₄⋊C₄	—	28	1	no	—
1148	C₄⋊C₄	—	28	1	no	—
1149	C₄⋊C₄	—	28	1	no	—
1150	C₄⋊C₄	—	28	1	no	—
1151	C₄⋊C₄	—	28	1	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	2	no	—
1156	C₂²⋊C₄	—	7	4	no	—
1157	C₂²⋊C₄	—	7	4	no	—
1158	C₂²⋊C₄	—	14	2	no	—
1159	C₂²⋊C₄	—	14	2	no	—
1160	C₂²⋊C₄	—	14	2	no	—
1161	C₂²⋊C₄	—	14	2	no	—
1162	C₂²⋊C₄	—	14	2	no	—
1163	C₂²⋊C₄	—	14	2	no	—
1164	C₂²⋊C₄	—	14	2	no	—
1165	C₂²⋊C₄	—	14	2	no	—
1166	C₂²⋊C₄	—	14	2	no	—
1167	C₂²⋊C₄	—	14	2	no	—
1168	C₂²⋊C₄	—	14	2	no	—
1169	C₂²⋊C₄	—	14	2	no	—
1170	C₂²⋊C₄	—	14	2	no	—
1171	C₂²⋊C₄	—	14	2	no	—
1172	C₂²⋊C₄	—	14	2	no	—
1173	C₂²⋊C₄	—	14	2	no	—
1174	C₂²⋊C₄	—	14	2	no	—
1175	C₂²⋊C₄	—	14	2	no	—
1176	C₂²⋊C₄	—	28	1	no	—
1177	C₂²⋊C₄	—	28	1	no	—
1178	C₂²⋊C₄	—	28	1	no	—
1179	C₂²⋊C₄	—	28	1	no	—
1180	C₂²⋊C₄	—	28	1	no	—
1181	C₂²⋊C₄	—	28	1	no	—
1182	C₂²⋊C₄	—	28	1	no	—
1183	C₂²⋊C₄	—	28	1	no	—
1184	C₄²	—	2	2	no	—
1185	C₄²	—	4	1	no	—
1186	C₄²	—	14	2	no	—
1187	C₄²	—	14	2	no	—
1188	C₄²	—	14	2	no	—
1189	C₄²	—	14	2	no	—
1190	C₄²	—	14	2	no	—
1191	C₄²	—	14	2	no	—
1192	C₄²	—	14	2	no	—
1193	C₄²	—	14	2	no	—
1194	C₄²	—	14	2	no	—
1195	C₄²	—	14	2	no	—
1196	C₄²	—	14	2	no	—
1197	C₄²	—	14	2	no	—
1198	C₄²	—	14	2	no	—
1199	C₄²	—	14	2	no	—
1200	C₄²	—	14	2	no	—
1201	C₄²	—	14	2	no	—
1202	C₄²	—	14	2	no	—
1203	C₄²	—	14	2	no	—
1204	C₄²	—	14	2	no	—
1205	C₄²	—	28	1	no	—
1206	C₄²	—	28	1	no	—
1207	C₄²	—	28	1	no	—
1208	C₂×C₇	—	2	4	no	—
1209	C₂×C₇	C₂²×#126	1	1	yes	characteristic
1210	C₂×C₇	#3444	1	1	yes	characteristic
1211	C₂×C₇	#3455	1	1	yes	characteristic
1212	C₂×C₇	#3475	1	1	yes	characteristic
1213	C₂×C₇	#3475	1	1	yes	characteristic
1214	C₂×C₇	#3475	1	1	yes	characteristic
1215	C₂×C₇	#3475	1	1	yes	characteristic
1216	D₇	—	4	2	no	—
1217	D₇	—	4	2	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	7	2	no	—
1223	C₂³	—	7	2	no	—
1224	C₂³	—	14	8	no	—
1225	C₂³	—	14	1	no	—
1226	C₂³	—	14	1	no	—
1227	C₂³	—	14	1	no	—
1228	C₂³	—	14	1	no	—
1229	C₂³	—	14	1	no	—
1230	C₂³	—	14	1	no	—
1231	C₂³	—	14	1	no	—
1232	C₂³	—	14	1	no	—
1233	C₂³	—	14	1	no	—
1234	C₂³	—	14	1	no	—
1235	C₂³	—	14	1	no	—
1236	C₂³	—	14	1	no	—
1237	C₂³	—	28	4	no	—
1238	C₂³	—	28	4	no	—
1239	C₂³	—	28	4	no	—
1240	C₂³	—	28	4	no	—
1241	C₂³	—	28	4	no	—
1242	C₂³	—	28	4	no	—
1243	C₂³	D₇×#41	1	2	yes	—
1244	C₂³	D₇×#41	1	2	yes	—
1245	C₂³	D₇×#41	1	2	yes	—
1246	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	4	4	no	—
1289	C₂×C₄	—	4	4	no	—
1290	C₂×C₄	—	7	16	no	—
1291	C₂×C₄	—	7	2	no	—
1292	C₂×C₄	—	7	2	no	—
1293	C₂×C₄	—	7	2	no	—
1294	C₂×C₄	—	7	2	no	—
1295	C₂×C₄	—	7	2	no	—
1296	C₂×C₄	—	7	2	no	—
1297	C₂×C₄	—	7	2	no	—
1298	C₂×C₄	—	7	2	no	—
1299	C₂×C₄	—	14	1	no	—
1300	C₂×C₄	—	14	1	no	—
1301	C₂×C₄	—	14	1	no	—
1302	C₂×C₄	—	14	1	no	—
1303	C₂×C₄	—	14	1	no	—
1304	C₂×C₄	—	14	1	no	—
1305	C₂×C₄	—	14	1	no	—
1306	C₂×C₄	—	14	1	no	—
1307	C₂×C₄	—	14	1	no	—
1308	C₂×C₄	—	14	1	no	—
1309	C₂×C₄	—	14	1	no	—
1310	C₂×C₄	—	14	1	no	—
1311	C₂×C₄	—	14	1	no	—
1312	C₂×C₄	—	14	1	no	—
1313	C₂×C₄	—	14	1	no	—
1314	C₂×C₄	—	14	1	no	—
1315	C₂×C₄	—	14	1	no	—
1316	C₂×C₄	—	14	1	no	—
1317	C₂×C₄	—	14	1	no	—
1318	C₂×C₄	—	14	1	no	—
1319	C₂×C₄	—	14	1	no	—
1320	C₂×C₄	—	14	1	no	—
1321	C₂×C₄	—	14	1	no	—
1322	C₂×C₄	—	14	1	no	—
1323	C₂×C₄	—	14	1	no	—
1324	C₂×C₄	—	14	1	no	—
1325	C₂×C₄	—	14	1	no	—
1326	C₂×C₄	—	14	1	no	—
1327	C₂×C₄	—	14	1	no	—
1328	C₂×C₄	—	14	1	no	—
1329	C₂×C₄	—	14	1	no	—
1330	C₂×C₄	—	14	1	no	—
1331	C₂×C₄	—	14	1	no	—
1332	C₂×C₄	—	14	1	no	—
1333	C₂×C₄	—	28	4	no	—
1334	C₂×C₄	—	28	4	no	—
1335	C₂×C₄	—	28	4	no	—
1336	C₂×C₄	—	28	4	no	—
1337	C₂×C₄	—	28	4	no	—
1338	C₂×C₄	—	28	4	no	—
1339	C₂×C₄	D₇×#41	1	2	yes	—
1340	C₂×C₄	D₇×#41	1	2	yes	—
1341	C₇	#34814	1	1	yes	characteristic, complemented, Sylow
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	14	2	no	—
1349	C₂²	—	14	2	no	—
1350	C₂²	—	14	2	no	—
1351	C₂²	—	14	2	no	—
1352	C₂²	—	14	2	no	—
1353	C₂²	—	14	2	no	—
1354	C₂²	—	28	16	no	—
1355	C₂²	—	28	1	no	—
1356	C₂²	—	28	1	no	—
1357	C₂²	—	28	1	no	—
1358	C₂²	—	28	1	no	—
1359	C₂²	—	28	1	no	—
1360	C₂²	—	28	1	no	—
1361	C₂²	—	28	1	no	—
1362	C₂²	—	28	1	no	—
1363	C₂²	D₇×#126	1	4	yes	—
1364	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1365	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1366	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1367	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1368	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1369	C₂²	#90618	1	1	yes	characteristic
1370	C₂²	#90620	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	7	4	no	—
1386	C₄	—	7	4	no	—
1387	C₄	—	14	2	no	—
1388	C₄	—	14	2	no	—
1389	C₄	—	28	1	no	—
1390	C₄	—	28	1	no	—
1391	C₄	—	28	1	no	—
1392	C₄	—	28	1	no	—
1393	C₄	—	28	1	no	—
1394	C₄	—	28	1	no	—
1395	C₄	—	28	1	no	—
1396	C₄	—	28	1	no	—
1397	C₄	—	28	1	no	—
1398	C₄	—	28	1	no	—
1399	C₂	—	2	4	no	—
1400	C₂	—	28	2	no	—
1401	C₂	—	28	2	no	—
1402	C₂	C₂×D₇×#126	1	1	yes	characteristic
1403	C₂	#11743187	1	1	yes	characteristic
1404	C₂	#11743495	1	1	yes	characteristic
1405	C₂	#11743858	1	1	yes	characteristic
1406	C₂	#11743858	1	1	yes	characteristic
1407	C₂	#11743894	1	1	yes	characteristic
1408	C₂	#11743894	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2493	C₂
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2493	D₇
hypocenter	C₇	#34814
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2493

Complements

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

N	H ≅ G/N	type
1. C₇×#2493	C₂	semidirect
2. #11735855	C₂	semidirect
3. #11735854	C₂	semidirect
4. #11735596	C₂	semidirect
5. #11735595	C₂	semidirect
6. #11735594	C₂	semidirect
7. #11735577	C₂	semidirect
8. #11735577	C₂	semidirect
9. #11735577	C₂	semidirect
10. #11732469	C₂	semidirect
11. #11732468	C₂	semidirect
12. #11732467	C₂	semidirect
13. #11732387	C₂	semidirect
14. #11732387	C₂	semidirect
15. #11732387	C₂	semidirect
18. #11731823	C₂	semidirect
19. #11731823	C₂	semidirect
20. #11731711	C₂	semidirect
21. #11731704	C₂	semidirect
22. #11731523	C₂	semidirect
23. #11731522	C₂	semidirect
27. #11731309	C₂	semidirect
29. C₄×#6440	C₂	semidirect
30. #11730798	C₂	semidirect
45. C₇×#401	C₂²	semidirect
46. C₇×#400	C₂²	semidirect
47. C₇×#400	C₂²	semidirect
48. C₇×#400	C₂²	semidirect
49. C₇×#387	C₂²	semidirect
50. C₇×#387	C₂²	semidirect
51. C₇×#387	C₂²	semidirect
54. C₇×#383	C₂²	semidirect
76. #89748	C₂²	semidirect
77. #89748	C₂²	semidirect
78. C₄⋊C₄×Dic₇	C₂²	semidirect
79. C₄⋊C₄×Dic₇	C₂²	semidirect
80. C₄⋊C₄×Dic₇	C₂²	semidirect
81. C₄⋊C₄×Dic₇	C₂²	semidirect
82. C₄⋊C₄×Dic₇	C₂²	semidirect
83. C₄⋊C₄×Dic₇	C₂²	semidirect
84. #89744	C₂²	semidirect
85. #89744	C₂²	semidirect
86. #89744	C₂²	semidirect
87. #89744	C₂²	semidirect
103. C₄×Dic₇⋊C₄	C₂²	semidirect
104. C₄×Dic₇⋊C₄	C₂²	semidirect
105. C₄²×Dic₇	C₂²	semidirect
106. C₄²×Dic₇	C₂²	semidirect
147. C₇⋊#401	C₂²	semidirect
148. C₇⋊#401	C₂²	semidirect
149. C₇⋊#401	C₂²	semidirect
150. #89432	C₂²	semidirect
151. #89432	C₂²	semidirect
152. #89432	C₂²	semidirect
153. #89431	C₂²	semidirect
154. #89431	C₂²	semidirect
155. #89431	C₂²	semidirect
156. #89430	C₂²	semidirect
157. #89430	C₂²	semidirect
158. #89430	C₂²	semidirect
159. #89427	C₂²	semidirect
160. #89427	C₂²	semidirect
161. #89427	C₂²	semidirect
162. #89425	C₂²	semidirect
163. #89425	C₂²	semidirect
164. #89425	C₂²	semidirect
165. #89424	C₂²	semidirect
166. #89424	C₂²	semidirect
167. #89424	C₂²	semidirect
168. #89423	C₂²	semidirect
169. #89423	C₂²	semidirect
170. #89423	C₂²	semidirect
171. #89422	C₂²	semidirect
172. #89422	C₂²	semidirect
173. #89421	C₂²	semidirect
174. #89421	C₂²	semidirect
175. #89421	C₂²	semidirect
176. #89421	C₂²	semidirect
177. #89421	C₂²	semidirect
178. #89421	C₂²	semidirect
179. #89421	C₂²	semidirect
180. #89421	C₂²	semidirect
181. #89420	C₂²	semidirect
182. #89420	C₂²	semidirect
183. #89419	C₂²	semidirect
184. #89419	C₂²	semidirect
185. #89419	C₂²	semidirect
186. #89419	C₂²	semidirect
369. #2493	D₇	semidirect
562. #401	C₂×D₇	semidirect
572. #400	C₂×D₇	semidirect
573. #400	C₂×D₇	semidirect
574. #400	C₂×D₇	semidirect
620. #387	C₂×D₇	semidirect
621. #387	C₂×D₇	semidirect
622. #387	C₂×D₇	semidirect
636. #383	C₂×D₇	semidirect
811. C₂×Dic₇	#126	semidirect
1341. C₇	#34814	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2493	2
#11735855	2
#11735854	2
#11735596	2
#11735595	2
#11735594	2
#11735577	2
#11732469	2
#11732468	2
#11732467	2
#11732387	2
#11731898	2
#11731897	2
#11731823	2
#11731711	2
#11731704	2
#11731523	2
#11731522	2
#11731495	2
#11731354	2
#11731309	2
#11731041	2
C₄×#6440	2
#11730798	2
C₂×#89438	2
#34814	7