Subgroups — #26386639

Order 12032.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20248854	C₂	1	1	yes	maximal, characteristic, complemented
2	#20248826	C₂	1	1	yes	maximal, characteristic, complemented
3	#20248803	C₂	1	1	yes	maximal, characteristic, complemented
4	#20248797	C₂	1	1	yes	maximal, characteristic, complemented
5	#20248791	C₂	1	1	yes	maximal, characteristic, complemented
6	#20248766	C₂	1	1	yes	maximal, characteristic, complemented
7	#20248733	C₂	1	1	yes	maximal, characteristic
8	#20248661	C₂	1	1	yes	maximal, characteristic, complemented
9	#20248573	C₂	1	1	yes	maximal, characteristic
10	#20248471	C₂	1	1	yes	maximal, characteristic, complemented
11	#20248397	C₂	1	1	yes	maximal, characteristic, complemented
12	#20247890	C₂	1	1	yes	maximal, characteristic, complemented
13	#20247524	C₂	1	1	yes	maximal, characteristic, complemented
14	#20247205	C₂	1	1	yes	maximal, characteristic
15	#20247200	C₂	1	1	yes	maximal, characteristic
16	#20246694	C₂	1	1	yes	maximal, characteristic, complemented
17	#20246680	C₂	1	1	yes	maximal, characteristic, complemented
18	#20246657	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246655	C₂	1	1	yes	maximal, characteristic, complemented
20	#20245947	C₂	1	1	yes	maximal, characteristic, complemented
21	#20245926	C₂	1	1	yes	maximal, characteristic, complemented
22	#20245922	C₂	1	1	yes	maximal, characteristic, complemented
23	#20245922	C₂	1	1	yes	maximal, characteristic, complemented
24	#20245920	C₂	1	1	yes	maximal, characteristic, complemented
25	#20245867	C₂	1	1	yes	maximal, characteristic, complemented
26	#20245863	C₂	1	1	yes	maximal, characteristic, complemented
27	#20245830	C₂	1	1	yes	maximal, characteristic
28	#20245830	C₂	1	1	yes	maximal, characteristic
29	C₄×(C₂²⋊D₄₇)⋊C₄	C₂	1	1	yes	maximal, characteristic
30	C₄×C₄⋊C₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2589	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094015	C₂²	1	1	yes	characteristic
33	C₂×#13094002	C₂²	1	1	yes	characteristic
34	C₂×#13094002	C₂²	1	1	yes	characteristic
35	C₂×#13094001	C₂²	1	1	yes	characteristic
36	C₂×#13094000	C₂²	1	1	yes	characteristic
37	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic
38	C₂×#13093989	C₂²	1	1	yes	characteristic
39	C₂×#13093989	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
41	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×#13093980	C₂²	1	1	yes	characteristic
44	C₂×#13093980	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
47	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
51	#15689065	C₂²	1	1	yes	characteristic
52	#15689064	C₂²	1	1	yes	characteristic
53	#15689064	C₂²	1	1	yes	characteristic
54	#15689063	C₂²	1	1	yes	characteristic
55	#15689061	C₂²	1	1	yes	characteristic
56	#15689059	C₂²	1	1	yes	characteristic
57	#15689057	C₂²	1	1	yes	characteristic
58	#15689057	C₂²	1	1	yes	characteristic
59	#15689057	C₂²	1	1	yes	characteristic
60	#15689057	C₂²	1	1	yes	characteristic
61	#15689057	C₂²	1	1	yes	characteristic
62	#15689057	C₂²	1	1	yes	characteristic
63	#15689056	C₂²	1	1	yes	characteristic
64	#15689054	C₂²	1	1	yes	characteristic
65	#15689054	C₂²	1	1	yes	characteristic
66	#15689054	C₂²	1	1	yes	characteristic
67	#15689054	C₂²	1	1	yes	characteristic
68	#15689046	C₂²	1	1	yes	characteristic
69	#15689046	C₂²	1	1	yes	characteristic
70	#15689046	C₂²	1	1	yes	characteristic
71	#15689046	C₂²	1	1	yes	characteristic
72	#15689044	C₂²	1	1	yes	characteristic
73	#15689044	C₂²	1	1	yes	characteristic
74	#15689043	C₂²	1	1	yes	characteristic
75	#15689043	C₂²	1	1	yes	characteristic
76	#15689043	C₂²	1	1	yes	characteristic
77	#15689042	C₂²	1	1	yes	characteristic
78	#15689035	C₂²	1	1	yes	characteristic
79	#15689030	C₂²	1	1	yes	characteristic
80	#15689027	C₂²	1	1	yes	characteristic
81	#15689027	C₂²	1	1	yes	characteristic
82	#15689027	C₂²	1	1	yes	characteristic
83	#15689021	C₂²	1	1	yes	characteristic
84	#15689021	C₂²	1	1	yes	characteristic
85	#15689021	C₂²	1	1	yes	characteristic
86	#15689020	C₂²	1	1	yes	characteristic
87	#15689020	C₂²	1	1	yes	characteristic
88	#15689020	C₂²	1	1	yes	characteristic
89	#15689020	C₂²	1	1	yes	characteristic
90	#15689019	C₂²	1	1	yes	characteristic
91	#15689018	C₂²	1	1	yes	characteristic
92	#15689018	C₂²	1	1	yes	characteristic
93	#15689018	C₂²	1	1	yes	characteristic
94	#15689016	C₂²	1	1	yes	characteristic
95	#15689016	C₂²	1	1	yes	characteristic
96	#15689010	C₂²	1	1	yes	characteristic
97	#15689010	C₂²	1	1	yes	characteristic
98	#15689008	C₂²	1	1	yes	characteristic
99	#15689008	C₂²	1	1	yes	characteristic
100	#15689008	C₂²	1	1	yes	characteristic
101	#15689008	C₂²	1	1	yes	characteristic
102	#15689008	C₂²	1	1	yes	characteristic
103	#15689007	C₂²	1	1	yes	characteristic
104	#15689007	C₂²	1	1	yes	characteristic
105	#15689007	C₂²	1	1	yes	characteristic
106	#15689007	C₂²	1	1	yes	characteristic
107	#15689006	C₂²	1	1	yes	characteristic
108	#15689006	C₂²	1	1	yes	characteristic
109	#15689005	C₂²	1	1	yes	characteristic
110	#15689005	C₂²	1	1	yes	characteristic
111	#15689004	C₂²	1	1	yes	characteristic
112	#15689004	C₂²	1	1	yes	characteristic
113	#15689004	C₂²	1	1	yes	characteristic
114	#15688999	C₂²	1	1	yes	characteristic
115	#15688999	C₂²	1	1	yes	characteristic
116	#15688999	C₂²	1	1	yes	characteristic
117	#15688999	C₂²	1	1	yes	characteristic
118	#15688998	C₂²	1	1	yes	characteristic
119	#15688997	C₂²	1	1	yes	characteristic
120	#15688997	C₂²	1	1	yes	characteristic
121	#15688997	C₂²	1	1	yes	characteristic
122	#15688997	C₂²	1	1	yes	characteristic
123	#15688997	C₂²	1	1	yes	characteristic
124	#15688997	C₂²	1	1	yes	characteristic
125	#15688996	C₂²	1	1	yes	characteristic
126	#15688996	C₂²	1	1	yes	characteristic
127	#15688995	C₂²	1	1	yes	characteristic
128	#15688994	C₂²	1	1	yes	characteristic
129	#15688994	C₂²	1	1	yes	characteristic
130	#15688994	C₂²	1	1	yes	characteristic
131	#15688994	C₂²	1	1	yes	characteristic
132	#15688988	C₂²	1	1	yes	characteristic
133	#15688982	C₂²	1	1	yes	characteristic
134	#15688982	C₂²	1	1	yes	characteristic
135	#15688981	C₂²	1	1	yes	characteristic
136	#15688980	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
144	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
145	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
146	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
147	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
148	#15688974	C₂²	1	1	yes	characteristic
149	#15688974	C₂²	1	1	yes	characteristic
150	#15688974	C₂²	1	1	yes	characteristic
151	#15688974	C₂²	1	1	yes	characteristic
152	#15688974	C₂²	1	1	yes	characteristic
153	#15688974	C₂²	1	1	yes	characteristic
154	#15688974	C₂²	1	1	yes	characteristic
155	#15688974	C₂²	1	1	yes	characteristic
156	#15688974	C₂²	1	1	yes	characteristic
157	#15688974	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
163	#15688970	C₂²	1	1	yes	characteristic
164	#15688970	C₂²	1	1	yes	characteristic
165	#15688970	C₂²	1	1	yes	characteristic
166	#15688970	C₂²	1	1	yes	characteristic
167	#15688968	C₂²	1	1	yes	characteristic
168	#15688968	C₂²	1	1	yes	characteristic
169	#95×D₄₇	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
172	C₄₇×#400	C₂²	1	1	yes	characteristic
173	C₄₇×#399	C₂²	1	1	yes	characteristic
174	C₄₇×#398	C₂²	1	1	yes	characteristic
175	C₄₇×#393	C₂²	1	1	yes	characteristic
176	C₄₇×#391	C₂²	1	1	yes	characteristic
177	C₄₇×#391	C₂²	1	1	yes	characteristic
178	C₄₇×#389	C₂²	1	1	yes	characteristic
179	C₄₇×#388	C₂²	1	1	yes	characteristic
180	C₄₇×#388	C₂²	1	1	yes	characteristic
181	C₄₇×#387	C₂²	1	1	yes	characteristic
182	C₄₇×#387	C₂²	1	1	yes	characteristic
183	C₄₇×#385	C₂²	1	1	yes	characteristic
184	C₄₇×#385	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
199	#13094015	—	2	4	no	—
200	#13094002	—	2	4	no	—
201	#13094002	—	2	4	no	—
202	#13094001	—	2	4	no	—
203	#13094000	—	2	4	no	—
204	Q₈×Dic₄₇	—	2	4	no	—
205	#13093989	—	4	2	no	—
206	#13093989	—	4	2	no	—
207	C₄×C₂²⋊D₄₇	—	2	4	no	—
208	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
209	(C₂²⋊D₄₇)⋊C₄	Q₈	1	8	yes	complemented
210	#13093980	—	2	4	no	—
211	#13093980	—	4	2	no	—
212	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₄⋊C₄×D₄₇	—	2	4	no	—
250	C₄⋊C₄×D₄₇	—	2	4	no	—
251	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₇	—	4	2	no	—
264	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₄²×D₄₇	—	2	4	no	—
286	C₄²×D₄₇	—	4	2	no	—
287	C₄²×D₄₇	—	4	2	no	—
288	C₄₇⋊#95	C₂³	1	1	yes	characteristic
289	C₄₇⋊#95	C₂³	1	1	yes	characteristic
290	C₄₇⋊#95	C₂³	1	1	yes	characteristic
291	C₄₇⋊#95	C₂³	1	1	yes	characteristic
292	C₄₇⋊#95	C₂³	1	1	yes	characteristic
293	C₄₇⋊#95	C₂³	1	1	yes	characteristic
294	C₄₇⋊#95	C₂³	1	1	yes	characteristic
295	C₄₇⋊#95	C₂³	1	1	yes	characteristic
296	C₄₇⋊#95	C₂³	1	1	yes	characteristic
297	C₄₇⋊#95	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₄₇⋊#95	C₂³	1	1	yes	characteristic
321	C₄₇⋊#95	C₂³	1	1	yes	characteristic
322	C₄₇⋊#95	C₂³	1	1	yes	characteristic
323	C₄₇⋊#95	C₂³	1	1	yes	characteristic
324	C₄₇⋊#95	C₂³	1	1	yes	characteristic
325	C₄₇⋊#95	C₂³	1	1	yes	characteristic
326	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
347	#95×C₄₇	C₂³	1	1	yes	characteristic
348	#95×C₄₇	C₂³	1	1	yes	characteristic
349	#95×C₄₇	C₂³	1	1	yes	characteristic
350	#95×C₄₇	C₂³	1	1	yes	characteristic
351	#95×C₄₇	C₂³	1	1	yes	characteristic
352	#95×C₄₇	C₂³	1	1	yes	characteristic
353	#95×C₄₇	C₂³	1	1	yes	characteristic
354	#95×C₄₇	C₂³	1	1	yes	characteristic
355	#95×C₄₇	C₂³	1	1	yes	characteristic
356	#95×C₄₇	C₂³	1	1	yes	characteristic
357	#95×C₄₇	C₂³	1	1	yes	characteristic
358	#95×C₄₇	C₂³	1	1	yes	characteristic
359	#95×C₄₇	C₂³	1	1	yes	characteristic
360	#95×C₄₇	C₂³	1	1	yes	characteristic
361	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₄₇	—	2	2	no	—
364	C₂×Q₈×C₄₇	—	2	2	no	—
365	C₂×Q₈×C₄₇	—	4	1	no	—
366	C₂²×C₄×C₄₇	—	2	2	no	—
367	C₂²×C₄×C₄₇	—	4	1	no	—
368	C₂²×C₄×C₄₇	—	4	1	no	—
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₂²⋊D₄₇	—	2	2	no	—
384	C₂×C₂²⋊D₄₇	—	2	2	no	—
385	C₂×C₂²⋊D₄₇	C₂×Q₈	1	4	yes	—
386	C₂²×Dic₄₇	—	2	2	no	—
387	C₂²×Dic₄₇	—	2	2	no	—
388	C₂²×Dic₄₇	—	2	2	no	—
389	C₂²×Dic₄₇	—	2	2	no	—
390	C₂²×Dic₄₇	—	4	1	no	—
391	C₂²×Dic₄₇	C₂×Q₈	1	4	yes	—
392	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×D₄₇	—	2	2	no	—
408	C₂×C₄×D₄₇	—	2	2	no	—
409	C₂×C₄×D₄₇	—	2	2	no	—
410	C₂×C₄×D₄₇	—	2	2	no	—
411	C₂×C₄×D₄₇	—	2	2	no	—
412	C₂×C₄×D₄₇	—	2	2	no	—
413	C₂×C₄×D₄₇	—	2	2	no	—
414	C₂×C₄×D₄₇	—	2	2	no	—
415	C₂×C₄×D₄₇	—	2	2	no	—
416	C₂×C₄×D₄₇	—	2	2	no	—
417	C₂×C₄×D₄₇	—	2	2	no	—
418	C₂×C₄×D₄₇	—	2	2	no	—
419	C₂×C₄×D₄₇	—	4	1	no	—
420	C₂×C₄×D₄₇	—	4	1	no	—
421	C₂×C₄×D₄₇	—	4	1	no	—
422	C₂×C₄×D₄₇	—	4	1	no	—
423	C₂×C₄×D₄₇	—	4	1	no	—
424	C₂×C₄×D₄₇	—	4	1	no	—
425	C₂×C₄×D₄₇	—	4	1	no	—
426	C₂×C₄×D₄₇	C₂×Q₈	1	4	yes	—
427	C₂×C₄×D₄₇	#41	1	4	yes	—
428	C₂×Dic₉₄	—	2	2	no	—
429	C₂×Dic₉₄	—	2	2	no	—
430	C₂×Dic₉₄	—	2	2	no	—
431	C₂×Dic₉₄	—	4	1	no	—
432	C₂×Dic₉₄	—	4	1	no	—
433	C₂×Dic₉₄	—	4	1	no	—
434	C₄⋊C₄×C₄₇	—	2	2	no	—
435	C₄⋊C₄×C₄₇	—	2	2	no	—
436	C₄⋊C₄×C₄₇	—	2	2	no	—
437	C₄⋊C₄×C₄₇	—	2	2	no	—
438	C₄⋊C₄×C₄₇	—	2	2	no	—
439	C₄⋊C₄×C₄₇	—	4	1	no	—
440	C₄⋊C₄×C₄₇	—	4	1	no	—
441	C₄⋊C₄×C₄₇	—	4	1	no	—
442	C₄⋊C₄×C₄₇	—	4	1	no	—
443	C₂²⋊C₄×C₄₇	—	2	2	no	—
444	C₂²⋊C₄×C₄₇	—	2	2	no	—
445	C₂²⋊C₄×C₄₇	—	2	2	no	—
446	C₂²⋊C₄×C₄₇	—	4	1	no	—
447	C₂²⋊C₄×C₄₇	—	4	1	no	—
448	C₂²⋊C₄×C₄₇	C₂×Q₈	1	4	yes	—
449	C₄²×C₄₇	—	2	2	no	—
450	C₄²×C₄₇	—	4	1	no	—
451	C₄²×C₄₇	—	4	1	no	—
452	C₄²×C₄₇	—	4	1	no	—
453	C₂²⋊Dic₄₇	—	2	2	no	—
454	C₂²⋊Dic₄₇	—	2	2	no	—
455	C₂²⋊Dic₄₇	—	2	2	no	—
456	C₂²⋊Dic₄₇	—	4	1	no	—
457	C₂²⋊Dic₄₇	—	4	1	no	—
458	(C₂×D₄₇)⋊C₄	—	2	2	no	—
459	(C₂×D₄₇)⋊C₄	—	2	2	no	—
460	(C₂×D₄₇)⋊C₄	—	2	2	no	—
461	(C₂×D₄₇)⋊C₄	—	2	2	no	—
462	(C₂×D₄₇)⋊C₄	—	2	2	no	—
463	(C₂×D₄₇)⋊C₄	C₂×Q₈	1	4	yes	—
464	(C₂×D₄₇)⋊C₄	#41	1	4	yes	—
465	C₄⋊Dic₄₇	—	2	2	no	—
466	C₄⋊Dic₄₇	—	2	2	no	—
467	C₄⋊Dic₄₇	—	2	2	no	—
468	C₄⋊Dic₄₇	—	2	2	no	—
469	C₄⋊Dic₄₇	—	2	2	no	—
470	C₄⋊Dic₄₇	—	2	2	no	—
471	C₄⋊Dic₄₇	—	2	2	no	—
472	C₄⋊Dic₄₇	—	4	1	no	—
473	C₄⋊Dic₄₇	—	4	1	no	—
474	C₄⋊Dic₄₇	#41	1	4	yes	—
475	Dic₄₇⋊C₄	—	2	2	no	—
476	Dic₄₇⋊C₄	—	2	2	no	—
477	Dic₄₇⋊C₄	—	2	2	no	—
478	Dic₄₇⋊C₄	—	2	2	no	—
479	Dic₄₇⋊C₄	—	2	2	no	—
480	Dic₄₇⋊C₄	—	2	2	no	—
481	Dic₄₇⋊C₄	—	2	2	no	—
482	Dic₄₇⋊C₄	—	2	2	no	—
483	Dic₄₇⋊C₄	—	2	2	no	—
484	Dic₄₇⋊C₄	—	2	2	no	—
485	Dic₄₇⋊C₄	—	2	2	no	—
486	Dic₄₇⋊C₄	—	2	2	no	—
487	Dic₄₇⋊C₄	—	2	2	no	—
488	Dic₄₇⋊C₄	—	2	2	no	—
489	Dic₄₇⋊C₄	—	2	2	no	—
490	Dic₄₇⋊C₄	—	2	2	no	—
491	Dic₄₇⋊C₄	—	2	2	no	—
492	Dic₄₇⋊C₄	—	2	2	no	—
493	Dic₄₇⋊C₄	—	4	1	no	—
494	Dic₄₇⋊C₄	—	4	1	no	—
495	Dic₄₇⋊C₄	—	4	1	no	—
496	Dic₄₇⋊C₄	—	4	1	no	—
497	Dic₄₇⋊C₄	—	4	1	no	—
498	Dic₄₇⋊C₄	—	4	1	no	—
499	Dic₄₇⋊C₄	—	4	1	no	—
500	Dic₄₇⋊C₄	—	4	1	no	—
501	Dic₄₇⋊C₄	C₂×Q₈	1	4	yes	—
502	C₄×Dic₄₇	—	2	2	no	—
503	C₄×Dic₄₇	—	2	2	no	—
504	C₄×Dic₄₇	—	2	2	no	—
505	C₄×Dic₄₇	—	2	2	no	—
506	C₄×Dic₄₇	—	2	2	no	—
507	C₄×Dic₄₇	—	2	2	no	—
508	C₄×Dic₄₇	—	2	2	no	—
509	C₄×Dic₄₇	—	2	2	no	—
510	C₄×Dic₄₇	—	2	2	no	—
511	C₄×Dic₄₇	—	2	2	no	—
512	C₄×Dic₄₇	—	2	2	no	—
513	C₄×Dic₄₇	—	2	2	no	—
514	C₄×Dic₄₇	—	2	2	no	—
515	C₄×Dic₄₇	—	2	2	no	—
516	C₄×Dic₄₇	—	2	2	no	—
517	C₄×Dic₄₇	—	4	1	no	—
518	C₄×Dic₄₇	—	4	1	no	—
519	C₄×Dic₄₇	—	4	1	no	—
520	C₄×Dic₄₇	—	4	1	no	—
521	C₄×Dic₄₇	C₂×Q₈	1	4	yes	—
522	C₄×Dic₄₇	#41	1	4	yes	—
523	C₂³×C₄₇	—	2	1	no	—
524	C₂³×C₄₇	—	2	1	no	—
525	C₂³×C₄₇	—	2	1	no	—
526	C₂³×C₄₇	—	2	1	no	—
527	C₂³×C₄₇	—	2	1	no	—
528	C₂³×C₄₇	—	2	1	no	—
529	C₂³×C₄₇	C₂²×Q₈	1	2	yes	—
530	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
531	C₂²×D₄₇	—	2	1	no	—
532	C₂²×D₄₇	—	2	1	no	—
533	C₂²×D₄₇	—	2	1	no	—
534	C₂²×D₄₇	—	2	1	no	—
535	C₂²×D₄₇	C₂²×Q₈	1	2	yes	—
536	C₂²×D₄₇	C₂×#41	1	2	yes	—
537	C₂²×D₄₇	C₂×#41	1	2	yes	—
538	Q₈×C₄₇	—	4	4	no	—
539	C₂×C₄×C₄₇	—	2	1	no	—
540	C₂×C₄×C₄₇	—	2	1	no	—
541	C₂×C₄×C₄₇	—	2	1	no	—
542	C₂×C₄×C₄₇	—	2	1	no	—
543	C₂×C₄×C₄₇	—	2	1	no	—
544	C₂×C₄×C₄₇	—	2	1	no	—
545	C₂×C₄×C₄₇	—	2	1	no	—
546	C₂×C₄×C₄₇	—	2	1	no	—
547	C₂×C₄×C₄₇	—	2	1	no	—
548	C₂×C₄×C₄₇	—	2	1	no	—
549	C₂×C₄×C₄₇	—	2	1	no	—
550	C₂×C₄×C₄₇	—	2	1	no	—
551	C₂×C₄×C₄₇	—	2	1	no	—
552	C₂×C₄×C₄₇	—	2	1	no	—
553	C₂×C₄×C₄₇	—	2	1	no	—
554	C₂×C₄×C₄₇	—	2	1	no	—
555	C₂×C₄×C₄₇	—	2	1	no	—
556	C₂×C₄×C₄₇	—	2	1	no	—
557	C₂×C₄×C₄₇	—	2	1	no	—
558	C₂×C₄×C₄₇	—	2	1	no	—
559	C₂×C₄×C₄₇	—	2	1	no	—
560	C₂×C₄×C₄₇	—	2	1	no	—
561	C₂×C₄×C₄₇	—	2	1	no	—
562	C₂×C₄×C₄₇	—	2	1	no	—
563	C₂×C₄×C₄₇	—	2	1	no	—
564	C₂×C₄×C₄₇	—	2	1	no	—
565	C₂×C₄×C₄₇	—	2	1	no	—
566	C₂×C₄×C₄₇	—	2	1	no	—
567	C₂×C₄×C₄₇	—	2	1	no	—
568	C₂×C₄×C₄₇	—	2	1	no	—
569	C₂×C₄×C₄₇	—	2	1	no	—
570	C₂×C₄×C₄₇	—	2	1	no	—
571	C₂×C₄×C₄₇	—	2	1	no	—
572	C₂×C₄×C₄₇	—	2	1	no	—
573	C₂×C₄×C₄₇	—	2	1	no	—
574	C₂×C₄×C₄₇	—	2	1	no	—
575	C₂×C₄×C₄₇	—	4	4	no	—
576	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
577	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
578	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
579	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
580	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
581	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
582	C₂²⋊D₄₇	—	2	8	no	—
583	C₂×Dic₄₇	—	2	1	no	—
584	C₂×Dic₄₇	—	2	1	no	—
585	C₂×Dic₄₇	—	2	1	no	—
586	C₂×Dic₄₇	—	2	1	no	—
587	C₂×Dic₄₇	—	2	1	no	—
588	C₂×Dic₄₇	—	2	1	no	—
589	C₂×Dic₄₇	—	2	1	no	—
590	C₂×Dic₄₇	—	2	1	no	—
591	C₂×Dic₄₇	—	2	1	no	—
592	C₂×Dic₄₇	—	2	1	no	—
593	C₂×Dic₄₇	—	2	1	no	—
594	C₂×Dic₄₇	—	2	1	no	—
595	C₂×Dic₄₇	—	2	1	no	—
596	C₂×Dic₄₇	—	2	1	no	—
597	C₂×Dic₄₇	—	2	8	no	—
598	C₂×Dic₄₇	—	2	1	no	—
599	C₂×Dic₄₇	—	2	1	no	—
600	C₂×Dic₄₇	—	2	1	no	—
601	C₂×Dic₄₇	—	2	1	no	—
602	C₂×Dic₄₇	—	2	1	no	—
603	C₂×Dic₄₇	—	2	1	no	—
604	C₂×Dic₄₇	—	2	1	no	—
605	C₂×Dic₄₇	—	2	1	no	—
606	C₂×Dic₄₇	—	2	1	no	—
607	C₂×Dic₄₇	—	2	1	no	—
608	C₂×Dic₄₇	—	2	1	no	—
609	C₂×Dic₄₇	—	2	1	no	—
610	C₂×Dic₄₇	—	2	1	no	—
611	C₂×Dic₄₇	—	2	1	no	—
612	C₂×Dic₄₇	—	2	1	no	—
613	C₂×Dic₄₇	—	2	1	no	—
614	C₂×Dic₄₇	—	2	1	no	—
615	C₂×Dic₄₇	—	2	1	no	—
616	C₂×Dic₄₇	—	2	1	no	—
617	C₂×Dic₄₇	—	2	1	no	—
618	C₂×Dic₄₇	—	2	1	no	—
619	C₂×Dic₄₇	—	4	4	no	—
620	C₂×Dic₄₇	C₂²×Q₈	1	2	yes	—
621	C₂×Dic₄₇	C₂²×Q₈	1	2	yes	—
622	C₂×Dic₄₇	C₂²×Q₈	1	2	yes	—
623	C₂×Dic₄₇	C₂×#41	1	2	yes	—
624	C₂×Dic₄₇	C₂×#41	1	2	yes	—
625	C₂×Dic₄₇	C₂×#41	1	2	yes	—
626	C₂×Dic₄₇	C₂×#41	1	2	yes	—
627	C₂×Dic₄₇	C₂×#41	1	2	yes	—
628	C₂×Dic₄₇	C₂×#41	1	2	yes	—
629	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
630	C₄×D₄₇	—	2	8	no	—
631	C₄×D₄₇	—	2	8	no	—
632	C₄×D₄₇	—	4	4	no	—
633	C₄×D₄₇	—	4	4	no	—
634	C₄×D₄₇	—	4	4	no	—
635	C₄×D₄₇	—	4	4	no	—
636	C₄×D₄₇	—	4	4	no	—
637	Dic₉₄	—	4	4	no	—
638	Dic₉₄	—	4	4	no	—
639	#34840	—	47	1	no	maximal, Sylow
640	C₂²×C₄₇	—	2	2	no	—
641	C₂²×C₄₇	—	2	2	no	—
642	C₂²×C₄₇	—	2	2	no	—
643	C₂²×C₄₇	—	4	1	no	—
644	C₂²×C₄₇	—	4	1	no	—
645	C₂²×C₄₇	—	4	1	no	—
646	C₂²×C₄₇	—	4	1	no	—
647	C₂²×C₄₇	C₂³×Q₈	1	1	yes	characteristic
648	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
649	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
650	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
651	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
652	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
653	C₂²×C₄₇	#585	1	1	yes	characteristic
654	C₂×D₄₇	—	2	2	no	—
655	C₂×D₄₇	—	2	2	no	—
656	C₂×D₄₇	—	2	2	no	—
657	C₂×D₄₇	—	2	2	no	—
658	C₂×D₄₇	—	2	2	no	—
659	C₂×D₄₇	—	2	2	no	—
660	C₂×D₄₇	#533	1	4	yes	—
661	C₄×C₄₇	—	2	2	no	—
662	C₄×C₄₇	—	2	2	no	—
663	C₄×C₄₇	—	2	2	no	—
664	C₄×C₄₇	—	2	2	no	—
665	C₄×C₄₇	—	2	2	no	—
666	C₄×C₄₇	—	2	2	no	—
667	C₄×C₄₇	—	4	1	no	—
668	C₄×C₄₇	—	4	1	no	—
669	C₄×C₄₇	—	4	1	no	—
670	C₄×C₄₇	—	4	1	no	—
671	C₄×C₄₇	—	4	1	no	—
672	C₄×C₄₇	—	4	1	no	—
673	C₄×C₄₇	—	4	1	no	—
674	C₄×C₄₇	—	4	1	no	—
675	Dic₄₇	—	2	2	no	—
676	Dic₄₇	—	2	2	no	—
677	Dic₄₇	—	2	2	no	—
678	Dic₄₇	—	2	2	no	—
679	Dic₄₇	—	2	2	no	—
680	Dic₄₇	—	2	2	no	—
681	Dic₄₇	—	2	2	no	—
682	Dic₄₇	—	4	1	no	—
683	Dic₄₇	—	4	1	no	—
684	Dic₄₇	—	4	1	no	—
685	Dic₄₇	—	4	1	no	—
686	Dic₄₇	—	4	1	no	—
687	Dic₄₇	—	4	1	no	—
688	Dic₄₇	—	4	1	no	—
689	Dic₄₇	#554	1	4	yes	—
690	#2590	—	47	1	no	—
691	#2589	D₄₇	1	1	yes	characteristic, complemented
692	#2588	—	47	1	no	—
693	#2587	—	47	1	no	—
694	#2586	—	47	1	no	—
695	#2585	—	47	1	no	—
696	#2583	—	47	1	no	—
697	#2579	—	47	1	no	—
698	#2574	—	47	1	no	—
699	#2564	—	47	1	no	—
700	#2556	—	47	1	no	—
701	#2549	—	47	1	no	—
702	#2505	—	47	1	no	—
703	#2473	—	47	1	no	—
704	#2450	—	47	1	no	—
705	#2449	—	47	1	no	—
706	#2402	—	47	1	no	—
707	#2399	—	47	1	no	—
708	#2396	—	47	1	no	—
709	#2396	—	47	1	no	—
710	C₄×#125	—	47	1	no	—
711	C₄×C₂²⋊Q₈	—	47	1	no	—
712	C₄×C₂²⋊Q₈	—	47	1	no	—
713	C₄×C₂²⋊Q₈	—	47	1	no	—
714	C₄×C₂²⋊Q₈	—	47	1	no	—
715	#2296	—	47	1	no	—
716	#2295	—	47	1	no	—
717	#2290	—	47	1	no	—
718	#2290	—	47	1	no	—
719	C₄²×D₄	—	47	1	no	—
720	C₂×C₄×C₄⋊C₄	—	47	1	no	—
721	C₂×C₄₇	—	4	2	no	—
722	C₂×C₄₇	C₂×#533	1	1	yes	characteristic
723	C₂×C₄₇	#3444	1	1	yes	characteristic
724	C₂×C₄₇	#3459	1	1	yes	characteristic
725	C₂×C₄₇	C₂×#554	1	1	yes	characteristic
726	C₂×C₄₇	#3475	1	1	yes	characteristic
727	C₂×C₄₇	Q₈×#41	1	1	yes	characteristic
728	C₂×C₄₇	#3481	1	1	yes	characteristic
729	D₄₇	—	2	4	no	—
730	C₂×#125	—	47	1	no	—
731	C₂×C₂²⋊Q₈	—	47	1	no	—
732	C₂×C₂²⋊Q₈	—	47	1	no	—
733	C₂×C₂²⋊Q₈	—	47	1	no	—
734	C₂×C₂²⋊Q₈	—	47	1	no	—
735	C₂×C₄×Q₈	—	47	1	no	—
736	C₂×C₄×Q₈	—	47	1	no	—
737	C₂×C₄×Q₈	—	47	1	no	—
738	C₂×C₄×D₄	—	47	1	no	—
739	C₂×C₄×D₄	—	47	1	no	—
740	C₂×C₄×D₄	—	47	1	no	—
741	C₂×#117	—	47	1	no	—
742	C₂×#117	—	47	1	no	—
743	C₂²×C₄⋊C₄	—	47	1	no	—
744	C₂²×C₄⋊C₄	—	47	1	no	—
745	C₂²×C₄²	—	47	1	no	—
746	C₂²×C₄²	—	47	1	no	—
747	C₂²×C₄²	—	47	1	no	—
748	C₂²×C₄²	—	47	1	no	—
749	#400	—	47	1	no	—
750	#400	—	47	1	no	—
751	#400	—	47	1	no	—
752	#400	—	47	1	no	—
753	#400	—	47	1	no	—
754	#400	C₂×D₄₇	1	1	yes	characteristic
755	#399	—	47	1	no	—
756	#399	C₂×D₄₇	1	1	yes	characteristic
757	#398	—	47	1	no	—
758	#398	—	47	1	no	—
759	#398	—	47	1	no	—
760	#398	—	47	1	no	—
761	#398	—	47	1	no	—
762	#398	—	47	1	no	—
763	#398	—	47	1	no	—
764	#398	—	47	1	no	—
765	#398	—	47	1	no	—
766	#398	—	47	1	no	—
767	#398	—	47	1	no	—
768	#398	C₂×D₄₇	1	1	yes	characteristic
769	#396	—	47	1	no	—
770	#396	—	47	1	no	—
771	#396	—	47	1	no	—
772	#396	—	47	1	no	—
773	#395	—	47	1	no	—
774	#395	—	47	1	no	—
775	#395	—	47	1	no	—
776	#395	—	47	1	no	—
777	#395	—	47	1	no	—
778	#395	—	47	1	no	—
779	#393	—	47	1	no	—
780	#393	C₂×D₄₇	1	1	yes	characteristic
781	#391	—	47	1	no	—
782	#391	—	47	1	no	—
783	#391	—	47	1	no	—
784	#391	—	47	1	no	—
785	#391	C₂×D₄₇	1	1	yes	characteristic
786	#391	C₂×D₄₇	1	1	yes	characteristic
787	#389	—	47	1	no	—
788	#389	—	47	1	no	—
789	#389	—	47	1	no	—
790	#389	—	47	1	no	—
791	#389	—	47	1	no	—
792	#389	—	47	1	no	—
793	#389	—	47	1	no	—
794	#389	—	47	1	no	—
795	#389	—	47	1	no	—
796	#389	—	47	1	no	—
797	#389	—	47	1	no	—
798	#389	C₂×D₄₇	1	1	yes	characteristic
799	#388	—	47	1	no	—
800	#388	—	47	1	no	—
801	#388	C₂×D₄₇	1	1	yes	characteristic
802	#388	C₂×D₄₇	1	1	yes	characteristic
803	#387	—	47	1	no	—
804	#387	—	47	1	no	—
805	#387	—	47	1	no	—
806	#387	—	47	1	no	—
807	#387	—	47	1	no	—
808	#387	—	47	1	no	—
809	#387	—	47	1	no	—
810	#387	—	47	1	no	—
811	#387	—	47	1	no	—
812	#387	—	47	1	no	—
813	#387	—	47	1	no	—
814	#387	—	47	1	no	—
815	#387	—	47	1	no	—
816	#387	—	47	1	no	—
817	#387	—	47	1	no	—
818	#387	—	47	1	no	—
819	#387	—	47	1	no	—
820	#387	—	47	1	no	—
821	#387	C₂×D₄₇	1	1	yes	characteristic
822	#387	C₂×D₄₇	1	1	yes	characteristic
823	#386	—	47	1	no	—
824	#386	—	47	1	no	—
825	#386	—	47	1	no	—
826	#386	—	47	1	no	—
827	#385	—	47	1	no	—
828	#385	—	47	1	no	—
829	#385	—	47	1	no	—
830	#385	—	47	1	no	—
831	#385	—	47	1	no	—
832	#385	—	47	1	no	—
833	#385	—	47	1	no	—
834	#385	—	47	1	no	—
835	#385	—	47	1	no	—
836	#385	—	47	1	no	—
837	#385	—	47	1	no	—
838	#385	—	47	1	no	—
839	#385	—	47	1	no	—
840	#385	—	47	1	no	—
841	#385	C₂×D₄₇	1	1	yes	characteristic
842	#385	C₂×D₄₇	1	1	yes	characteristic
843	#382	—	47	1	no	—
844	#380	—	47	1	no	—
845	#380	—	47	1	no	—
846	#380	—	47	1	no	—
847	#380	—	47	1	no	—
848	C₄×C₄⋊C₄	—	47	1	no	—
849	C₄×C₄⋊C₄	—	47	1	no	—
850	C₄×C₄⋊C₄	—	47	1	no	—
851	C₄×C₄⋊C₄	—	47	1	no	—
852	C₄×C₄⋊C₄	—	47	1	no	—
853	C₄×C₄⋊C₄	—	47	1	no	—
854	C₄×C₄⋊C₄	—	47	1	no	—
855	C₄×C₄⋊C₄	—	47	1	no	—
856	C₄×C₄⋊C₄	—	47	1	no	—
857	C₄×C₄⋊C₄	—	47	1	no	—
858	C₄×C₄⋊C₄	—	47	1	no	—
859	C₄×C₄⋊C₄	—	47	1	no	—
860	C₄×C₄⋊C₄	—	47	1	no	—
861	C₄×C₄⋊C₄	—	47	1	no	—
862	C₄×C₄⋊C₄	—	47	1	no	—
863	C₄×C₄⋊C₄	—	47	1	no	—
864	C₄×C₄⋊C₄	—	47	1	no	—
865	C₄×C₄⋊C₄	—	47	1	no	—
866	C₄×C₄⋊C₄	—	47	1	no	—
867	C₄×C₄⋊C₄	—	47	1	no	—
868	C₄×C₄⋊C₄	—	47	1	no	—
869	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	—	47	1	no	—
871	C₄×C₂²⋊C₄	—	47	1	no	—
872	C₄×C₂²⋊C₄	—	47	1	no	—
873	C₄×C₂²⋊C₄	—	47	1	no	—
874	C₄×C₂²⋊C₄	—	47	1	no	—
875	C₄×C₂²⋊C₄	—	47	1	no	—
876	C₄×C₂²⋊C₄	—	47	1	no	—
877	C₄×C₂²⋊C₄	—	47	1	no	—
878	C₄×C₂²⋊C₄	—	47	1	no	—
879	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
880	#376	—	47	1	no	—
881	#376	—	47	1	no	—
882	C₂×#95	—	47	1	no	—
883	C₂×#95	—	47	1	no	—
884	C₄³	—	47	1	no	—
885	C₄₇	#34840	1	1	yes	characteristic, complemented, Sylow
886	C₂²×Q₈	—	47	1	no	—
887	C₂²×Q₈	—	47	1	no	—
888	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
889	C₂²×D₄	—	47	1	no	—
890	C₂³×C₄	—	47	1	no	—
891	C₂³×C₄	—	47	1	no	—
892	C₂³×C₄	—	47	1	no	—
893	C₂³×C₄	—	47	1	no	—
894	C₂³×C₄	—	47	1	no	—
895	C₂³×C₄	—	47	1	no	—
896	C₂³×C₄	—	47	1	no	—
897	C₂³×C₄	—	47	1	no	—
898	C₂³×C₄	—	47	1	no	—
899	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
900	#125	—	94	4	no	—
901	C₂²⋊Q₈	—	94	4	no	—
902	C₂²⋊Q₈	—	94	4	no	—
903	C₂²⋊Q₈	—	94	4	no	—
904	C₂²⋊Q₈	—	94	4	no	—
905	C₄×Q₈	—	94	4	no	—
906	C₄×Q₈	—	188	2	no	—
907	C₄×Q₈	—	188	2	no	—
908	C₄×D₄	—	47	8	no	—
909	C₄×D₄	—	94	4	no	—
910	C₄×D₄	—	94	4	no	—
911	#117	—	94	4	no	—
912	#117	—	188	2	no	—
913	C₂×C₄⋊C₄	—	47	1	no	—
914	C₂×C₄⋊C₄	—	47	1	no	—
915	C₂×C₄⋊C₄	—	47	1	no	—
916	C₂×C₄⋊C₄	—	47	1	no	—
917	C₂×C₄⋊C₄	—	47	1	no	—
918	C₂×C₄⋊C₄	—	47	1	no	—
919	C₂×C₄⋊C₄	—	47	1	no	—
920	C₂×C₄⋊C₄	—	47	1	no	—
921	C₂×C₄⋊C₄	—	47	1	no	—
922	C₂×C₄⋊C₄	—	47	1	no	—
923	C₂×C₄⋊C₄	—	47	1	no	—
924	C₂×C₄⋊C₄	—	47	1	no	—
925	C₂×C₄⋊C₄	—	47	1	no	—
926	C₂×C₄⋊C₄	—	47	1	no	—
927	C₂×C₄⋊C₄	—	47	1	no	—
928	C₂×C₄⋊C₄	—	47	1	no	—
929	C₂×C₄⋊C₄	—	47	1	no	—
930	C₂×C₄⋊C₄	—	47	1	no	—
931	C₂×C₄⋊C₄	—	47	1	no	—
932	C₂×C₄⋊C₄	—	47	1	no	—
933	C₂×C₄⋊C₄	—	47	1	no	—
934	C₂×C₄⋊C₄	—	47	1	no	—
935	C₂×C₄⋊C₄	—	47	1	no	—
936	C₂×C₄⋊C₄	—	47	1	no	—
937	C₂×C₄⋊C₄	—	47	1	no	—
938	C₂×C₄⋊C₄	—	47	1	no	—
939	C₂×C₄⋊C₄	—	47	1	no	—
940	C₂×C₄⋊C₄	—	47	1	no	—
941	C₂×C₄⋊C₄	—	47	1	no	—
942	C₂×C₄⋊C₄	—	47	1	no	—
943	C₂×C₄⋊C₄	—	47	1	no	—
944	C₂×C₄⋊C₄	—	47	1	no	—
945	C₂×C₄⋊C₄	—	47	1	no	—
946	C₂×C₄⋊C₄	—	47	1	no	—
947	C₂×C₄⋊C₄	—	47	1	no	—
948	C₂×C₄⋊C₄	—	47	1	no	—
949	C₂×C₄⋊C₄	—	47	1	no	—
950	C₂×C₄⋊C₄	—	94	4	no	—
951	C₂×C₄⋊C₄	—	94	4	no	—
952	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	—	47	1	no	—
962	C₂×C₂²⋊C₄	—	47	1	no	—
963	C₂×C₂²⋊C₄	—	47	1	no	—
964	C₂×C₂²⋊C₄	—	47	1	no	—
965	C₂×C₂²⋊C₄	—	47	1	no	—
966	C₂×C₂²⋊C₄	—	47	1	no	—
967	C₂×C₂²⋊C₄	—	47	1	no	—
968	C₂×C₂²⋊C₄	—	47	1	no	—
969	C₂×C₂²⋊C₄	—	47	1	no	—
970	C₂×C₂²⋊C₄	—	47	1	no	—
971	C₂×C₂²⋊C₄	—	47	1	no	—
972	C₂×C₂²⋊C₄	—	47	1	no	—
973	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
979	C₂×C₄²	—	47	1	no	—
980	C₂×C₄²	—	47	1	no	—
981	C₂×C₄²	—	47	1	no	—
982	C₂×C₄²	—	47	1	no	—
983	C₂×C₄²	—	47	1	no	—
984	C₂×C₄²	—	47	1	no	—
985	C₂×C₄²	—	47	1	no	—
986	C₂×C₄²	—	47	1	no	—
987	C₂×C₄²	—	47	1	no	—
988	C₂×C₄²	—	47	1	no	—
989	C₂×C₄²	—	47	1	no	—
990	C₂×C₄²	—	47	1	no	—
991	C₂×C₄²	—	47	1	no	—
992	C₂×C₄²	—	47	1	no	—
993	C₂×C₄²	—	47	1	no	—
994	C₂×C₄²	—	47	1	no	—
995	C₂×C₄²	—	47	1	no	—
996	C₂×C₄²	—	47	1	no	—
997	C₂×C₄²	—	47	1	no	—
998	C₂×C₄²	—	47	1	no	—
999	C₂×C₄²	—	47	1	no	—
1000	C₂×C₄²	—	94	4	no	—
1001	C₂×C₄²	—	188	2	no	—
1002	C₂×C₄²	—	188	2	no	—
1003	C₂×C₄²	—	188	2	no	—
1004	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1007	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1008	#95	—	47	1	no	—
1009	#95	—	47	1	no	—
1010	#95	—	47	1	no	—
1011	#95	—	47	1	no	—
1012	#95	—	47	1	no	—
1013	#95	—	47	1	no	—
1014	#95	—	47	1	no	—
1015	#95	—	47	1	no	—
1016	#95	—	47	1	no	—
1017	#95	—	47	1	no	—
1018	#95	—	47	1	no	—
1019	#95	—	47	1	no	—
1020	#95	—	47	1	no	—
1021	#95	—	47	1	no	—
1022	#95	—	47	1	no	—
1023	#95	—	47	1	no	—
1024	#95	—	47	1	no	—
1025	#95	—	47	1	no	—
1026	#95	—	47	1	no	—
1027	#95	—	47	1	no	—
1028	#95	—	47	1	no	—
1029	#95	—	47	1	no	—
1030	#95	—	47	1	no	—
1031	#95	—	47	1	no	—
1032	#95	—	47	1	no	—
1033	#95	—	47	1	no	—
1034	#95	—	47	1	no	—
1035	#95	—	47	1	no	—
1036	#95	—	47	1	no	—
1037	#95	—	47	1	no	—
1038	#95	—	47	1	no	—
1039	#95	—	47	1	no	—
1040	#95	—	47	1	no	—
1041	#95	—	47	1	no	—
1042	#95	—	47	1	no	—
1043	#95	—	47	1	no	—
1044	#95	—	47	1	no	—
1045	#95	—	47	1	no	—
1046	#95	C₂²×D₄₇	1	1	yes	characteristic
1047	#95	C₂²×D₄₇	1	1	yes	characteristic
1048	#95	C₂²×D₄₇	1	1	yes	characteristic
1049	#95	C₂²×D₄₇	1	1	yes	characteristic
1050	#95	C₂²×D₄₇	1	1	yes	characteristic
1051	#95	C₂²×D₄₇	1	1	yes	characteristic
1052	#95	C₂²×D₄₇	1	1	yes	characteristic
1053	#95	C₂²×D₄₇	1	1	yes	characteristic
1054	#95	C₂²×D₄₇	1	1	yes	characteristic
1055	#95	C₂²×D₄₇	1	1	yes	characteristic
1056	#95	C₂²×D₄₇	1	1	yes	characteristic
1057	#95	C₂²×D₄₇	1	1	yes	characteristic
1058	#95	C₂²×D₄₇	1	1	yes	characteristic
1059	#95	C₂²×D₄₇	1	1	yes	characteristic
1060	C₂⁴	—	47	1	no	—
1061	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	2	2	no	—
1064	C₂×Q₈	—	4	1	no	—
1065	C₂×Q₈	—	94	2	no	—
1066	C₂×Q₈	—	94	2	no	—
1067	C₂×Q₈	—	94	2	no	—
1068	C₂×Q₈	—	188	1	no	—
1069	C₂×Q₈	—	188	1	no	—
1070	C₂×Q₈	—	188	1	no	—
1071	C₂×D₄	—	47	4	no	—
1072	C₂×D₄	—	94	2	no	—
1073	C₂×D₄	—	94	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	47	1	no	—
1078	C₂²×C₄	—	47	4	no	—
1079	C₂²×C₄	—	47	1	no	—
1080	C₂²×C₄	—	47	1	no	—
1081	C₂²×C₄	—	47	1	no	—
1082	C₂²×C₄	—	47	1	no	—
1083	C₂²×C₄	—	47	1	no	—
1084	C₂²×C₄	—	47	1	no	—
1085	C₂²×C₄	—	47	1	no	—
1086	C₂²×C₄	—	47	4	no	—
1087	C₂²×C₄	—	47	4	no	—
1088	C₂²×C₄	—	47	1	no	—
1089	C₂²×C₄	—	47	1	no	—
1090	C₂²×C₄	—	47	1	no	—
1091	C₂²×C₄	—	47	1	no	—
1092	C₂²×C₄	—	47	1	no	—
1093	C₂²×C₄	—	47	1	no	—
1094	C₂²×C₄	—	47	1	no	—
1095	C₂²×C₄	—	94	2	no	—
1096	C₂²×C₄	—	94	2	no	—
1097	C₂²×C₄	—	94	2	no	—
1098	C₂²×C₄	—	94	2	no	—
1099	C₂²×C₄	—	94	2	no	—
1100	C₂²×C₄	—	94	2	no	—
1101	C₂²×C₄	—	94	2	no	—
1102	C₂²×C₄	—	94	2	no	—
1103	C₂²×C₄	—	94	2	no	—
1104	C₂²×C₄	—	94	2	no	—
1105	C₂²×C₄	—	94	2	no	—
1106	C₂²×C₄	—	94	2	no	—
1107	C₂²×C₄	—	94	2	no	—
1108	C₂²×C₄	—	94	2	no	—
1109	C₂²×C₄	—	94	2	no	—
1110	C₂²×C₄	—	94	2	no	—
1111	C₂²×C₄	—	188	1	no	—
1112	C₂²×C₄	—	188	1	no	—
1113	C₂²×C₄	—	188	1	no	—
1114	C₂²×C₄	—	188	1	no	—
1115	C₂²×C₄	—	188	1	no	—
1116	C₂²×C₄	—	188	1	no	—
1117	C₂²×C₄	—	188	1	no	—
1118	C₂²×C₄	—	188	1	no	—
1119	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	47	4	no	—
1143	C₄⋊C₄	—	47	4	no	—
1144	C₄⋊C₄	—	94	2	no	—
1145	C₄⋊C₄	—	94	2	no	—
1146	C₄⋊C₄	—	94	2	no	—
1147	C₄⋊C₄	—	94	2	no	—
1148	C₄⋊C₄	—	94	2	no	—
1149	C₄⋊C₄	—	94	2	no	—
1150	C₄⋊C₄	—	94	2	no	—
1151	C₄⋊C₄	—	94	2	no	—
1152	C₄⋊C₄	—	94	2	no	—
1153	C₄⋊C₄	—	94	2	no	—
1154	C₄⋊C₄	—	94	2	no	—
1155	C₄⋊C₄	—	94	2	no	—
1156	C₄⋊C₄	—	94	2	no	—
1157	C₄⋊C₄	—	94	2	no	—
1158	C₄⋊C₄	—	94	2	no	—
1159	C₄⋊C₄	—	94	2	no	—
1160	C₄⋊C₄	—	94	2	no	—
1161	C₄⋊C₄	—	94	2	no	—
1162	C₄⋊C₄	—	94	2	no	—
1163	C₄⋊C₄	—	94	2	no	—
1164	C₄⋊C₄	—	94	2	no	—
1165	C₄⋊C₄	—	94	2	no	—
1166	C₄⋊C₄	—	94	2	no	—
1167	C₄⋊C₄	—	94	2	no	—
1168	C₄⋊C₄	—	94	2	no	—
1169	C₄⋊C₄	—	188	1	no	—
1170	C₄⋊C₄	—	188	1	no	—
1171	C₄⋊C₄	—	188	1	no	—
1172	C₄⋊C₄	—	188	1	no	—
1173	C₄⋊C₄	—	188	1	no	—
1174	C₄⋊C₄	—	188	1	no	—
1175	C₄⋊C₄	—	188	1	no	—
1176	C₄⋊C₄	—	188	1	no	—
1177	C₄⋊C₄	—	188	1	no	—
1178	C₄⋊C₄	—	188	1	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	—	47	4	no	—
1185	C₂²⋊C₄	—	47	4	no	—
1186	C₂²⋊C₄	—	94	2	no	—
1187	C₂²⋊C₄	—	94	2	no	—
1188	C₂²⋊C₄	—	94	2	no	—
1189	C₂²⋊C₄	—	94	2	no	—
1190	C₂²⋊C₄	—	94	2	no	—
1191	C₂²⋊C₄	—	94	2	no	—
1192	C₂²⋊C₄	—	94	2	no	—
1193	C₂²⋊C₄	—	94	2	no	—
1194	C₂²⋊C₄	—	188	1	no	—
1195	C₂²⋊C₄	—	188	1	no	—
1196	C₂²⋊C₄	Q₈×D₄₇	1	4	yes	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	4	1	no	—
1199	C₄²	—	4	1	no	—
1200	C₄²	—	4	1	no	—
1201	C₄²	—	47	4	no	—
1202	C₄²	—	47	4	no	—
1203	C₄²	—	94	2	no	—
1204	C₄²	—	94	2	no	—
1205	C₄²	—	94	2	no	—
1206	C₄²	—	94	2	no	—
1207	C₄²	—	94	2	no	—
1208	C₄²	—	94	2	no	—
1209	C₄²	—	94	2	no	—
1210	C₄²	—	94	2	no	—
1211	C₄²	—	94	2	no	—
1212	C₄²	—	94	2	no	—
1213	C₄²	—	94	2	no	—
1214	C₄²	—	94	2	no	—
1215	C₄²	—	94	2	no	—
1216	C₄²	—	94	2	no	—
1217	C₄²	—	94	2	no	—
1218	C₄²	—	188	1	no	—
1219	C₄²	—	188	1	no	—
1220	C₄²	—	188	1	no	—
1221	C₄²	—	188	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	47	2	no	—
1229	C₂³	—	47	2	no	—
1230	C₂³	—	47	2	no	—
1231	C₂³	—	94	1	no	—
1232	C₂³	—	94	1	no	—
1233	C₂³	—	94	1	no	—
1234	C₂³	—	94	1	no	—
1235	C₂³	C₂×Q₈×D₄₇	1	2	yes	—
1236	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1237	Q₈	—	4	4	no	—
1238	Q₈	—	188	4	no	—
1239	Q₈	—	188	4	no	—
1240	D₄	—	94	8	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	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	—	4	4	no	—
1278	C₂×C₄	—	47	2	no	—
1279	C₂×C₄	—	47	2	no	—
1280	C₂×C₄	—	47	2	no	—
1281	C₂×C₄	—	47	2	no	—
1282	C₂×C₄	—	47	2	no	—
1283	C₂×C₄	—	47	2	no	—
1284	C₂×C₄	—	47	2	no	—
1285	C₂×C₄	—	47	2	no	—
1286	C₂×C₄	—	47	2	no	—
1287	C₂×C₄	—	47	2	no	—
1288	C₂×C₄	—	94	8	no	—
1289	C₂×C₄	—	94	8	no	—
1290	C₂×C₄	—	94	8	no	—
1291	C₂×C₄	—	94	1	no	—
1292	C₂×C₄	—	94	1	no	—
1293	C₂×C₄	—	94	1	no	—
1294	C₂×C₄	—	94	1	no	—
1295	C₂×C₄	—	94	1	no	—
1296	C₂×C₄	—	94	1	no	—
1297	C₂×C₄	—	94	1	no	—
1298	C₂×C₄	—	94	1	no	—
1299	C₂×C₄	—	94	1	no	—
1300	C₂×C₄	—	94	1	no	—
1301	C₂×C₄	—	94	1	no	—
1302	C₂×C₄	—	94	1	no	—
1303	C₂×C₄	—	94	1	no	—
1304	C₂×C₄	—	94	1	no	—
1305	C₂×C₄	—	94	1	no	—
1306	C₂×C₄	—	94	1	no	—
1307	C₂×C₄	—	94	1	no	—
1308	C₂×C₄	—	94	1	no	—
1309	C₂×C₄	—	94	1	no	—
1310	C₂×C₄	—	94	1	no	—
1311	C₂×C₄	—	94	1	no	—
1312	C₂×C₄	—	94	1	no	—
1313	C₂×C₄	—	94	1	no	—
1314	C₂×C₄	—	94	1	no	—
1315	C₂×C₄	—	94	1	no	—
1316	C₂×C₄	—	94	1	no	—
1317	C₂×C₄	—	94	1	no	—
1318	C₂×C₄	—	94	1	no	—
1319	C₂×C₄	—	94	1	no	—
1320	C₂×C₄	—	94	1	no	—
1321	C₂×C₄	—	94	1	no	—
1322	C₂×C₄	—	94	1	no	—
1323	C₂×C₄	—	94	1	no	—
1324	C₂×C₄	—	94	1	no	—
1325	C₂×C₄	—	94	1	no	—
1326	C₂×C₄	—	188	4	no	—
1327	C₂×C₄	—	188	4	no	—
1328	C₂×C₄	—	188	4	no	—
1329	C₂×C₄	—	188	4	no	—
1330	C₂×C₄	—	188	4	no	—
1331	C₂×C₄	—	188	4	no	—
1332	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
1333	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
1334	C₂×C₄	#41×D₄₇	1	2	yes	—
1335	C₂×C₄	#41×D₄₇	1	2	yes	—
1336	C₂×C₄	#41×D₄₇	1	2	yes	—
1337	C₂×C₄	#41×D₄₇	1	2	yes	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	47	4	no	—
1346	C₂²	—	94	2	no	—
1347	C₂²	—	94	2	no	—
1348	C₂²	—	94	2	no	—
1349	C₂²	—	94	2	no	—
1350	C₂²	—	94	2	no	—
1351	C₂²	—	94	2	no	—
1352	C₂²	C₂²×Q₈×D₄₇	1	1	yes	characteristic
1353	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1354	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1355	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1356	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1357	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1358	C₂²	#15689958	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	47	4	no	—
1374	C₄	—	94	2	no	—
1375	C₄	—	94	2	no	—
1376	C₄	—	94	2	no	—
1377	C₄	—	94	2	no	—
1378	C₄	—	94	2	no	—
1379	C₄	—	94	2	no	—
1380	C₄	—	94	2	no	—
1381	C₄	—	188	1	no	—
1382	C₄	—	188	1	no	—
1383	C₄	—	188	1	no	—
1384	C₄	—	188	1	no	—
1385	C₄	—	188	1	no	—
1386	C₄	—	188	1	no	—
1387	C₄	—	188	1	no	—
1388	C₂	—	4	2	no	—
1389	C₂	—	94	4	no	—
1390	C₂	#533×D₄₇	1	1	yes	characteristic
1391	C₂	#20256682	1	1	yes	characteristic
1392	C₂	#20256799	1	1	yes	characteristic
1393	C₂	#554×D₄₇	1	1	yes	characteristic
1394	C₂	#20256943	1	1	yes	characteristic
1395	C₂	#20256967	1	1	yes	characteristic
1396	C₂	#20256997	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2589	C₂
prime radical	C₂²×C₂²⋊D₄₇	C₂³
hypercenter	#2589	D₄₇
hypocenter	C₄₇	#34840
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2589

Complements

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

N	H ≅ G/N	type
1. #20248854	C₂	semidirect
2. #20248826	C₂	semidirect
3. #20248803	C₂	semidirect
4. #20248797	C₂	semidirect
5. #20248791	C₂	semidirect
6. #20248766	C₂	semidirect
8. #20248661	C₂	semidirect
10. #20248471	C₂	semidirect
11. #20248397	C₂	semidirect
12. #20247890	C₂	semidirect
13. #20247524	C₂	semidirect
16. #20246694	C₂	semidirect
17. #20246680	C₂	semidirect
18. #20246657	C₂	semidirect
19. #20246655	C₂	semidirect
20. #20245947	C₂	semidirect
21. #20245926	C₂	semidirect
22. #20245922	C₂	semidirect
23. #20245922	C₂	semidirect
24. #20245920	C₂	semidirect
25. #20245867	C₂	semidirect
26. #20245863	C₂	semidirect
30. C₄×C₄⋊C₄×D₄₇	C₂	semidirect
31. C₄₇×#2589	C₂	semidirect
209. (C₂²⋊D₄₇)⋊C₄	Q₈	semidirect
691. #2589	D₄₇	semidirect
885. C₄₇	#34840	semidirect

Maximal subgroups

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

subgroup	index
#20248854	2
#20248826	2
#20248803	2
#20248797	2
#20248791	2
#20248766	2
#20248733	2
#20248661	2
#20248573	2
#20248471	2
#20248397	2
#20247890	2
#20247524	2
#20247205	2
#20247200	2
#20246694	2
#20246680	2
#20246657	2
#20246655	2
#20245947	2
#20245926	2
#20245922	2
#20245920	2
#20245867	2
#20245863	2
#20245830	2
C₄×(C₂²⋊D₄₇)⋊C₄	2
C₄×C₄⋊C₄×D₄₇	2
C₄₇×#2589	2
#34840	47