Subgroups — #27094263

Order 12032.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1258 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257308	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255604	C₂	1	2	yes	maximal, complemented
3	#20255589	C₂	1	2	yes	maximal, complemented
4	#20255529	C₂	1	2	yes	maximal, complemented
5	#20255484	C₂	1	2	yes	maximal, complemented
6	#20255409	C₂	1	2	yes	maximal, complemented
7	#20255364	C₂	1	2	yes	maximal, complemented
8	#20255238	C₂	1	2	yes	maximal, complemented
9	#20255223	C₂	1	2	yes	maximal, complemented
10	#20253788	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253373	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253362	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689423	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253055	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253047	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252837	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252692	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252692	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094050	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252132	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251914	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251914	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094050	C₂²	1	1	yes	characteristic
25	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
29	#15689819	C₂²	1	2	yes	complemented
30	#15689819	C₂²	1	2	yes	complemented
31	#15689816	—	2	2	no	—
32	#15689816	—	2	2	no	—
33	#15689813	C₂²	1	2	yes	complemented
34	#15689813	C₂²	1	2	yes	complemented
35	#15689734	—	2	1	no	—
36	#15689727	—	2	1	no	—
37	#15689701	C₂²	1	1	yes	characteristic, complemented
38	#15689701	C₂²	1	1	yes	characteristic, complemented
39	#15689652	—	2	1	no	—
40	#15689652	—	2	1	no	—
41	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
42	#15689606	C₂²	1	1	yes	characteristic, complemented
43	#15689606	C₂²	1	1	yes	characteristic, complemented
44	C₄×#10625350	C₂²	1	1	yes	characteristic, complemented
45	#15689491	C₂²	1	2	yes	complemented
46	#15689487	C₂²	1	2	yes	complemented
47	#15689477	C₂²	1	2	yes	complemented
48	#15689477	C₂²	1	2	yes	complemented
49	#15689461	C₂²	1	2	yes	complemented
50	#15689461	C₂²	1	2	yes	complemented
51	#15689456	C₂²	1	2	yes	complemented
52	#15689451	C₂²	1	2	yes	complemented
53	#15689444	C₂²	1	2	yes	complemented
54	#15689444	C₂²	1	2	yes	complemented
55	#15689439	C₂²	1	2	yes	complemented
56	#15689434	C₂²	1	2	yes	complemented
57	#15689423	C₂²	1	2	yes	complemented
58	#15689423	C₂²	1	2	yes	complemented
59	#15689423	C₂²	1	2	yes	complemented
60	#15689423	C₂²	1	2	yes	complemented
61	#15689379	C₂²	1	2	yes	complemented
62	#15689374	C₂²	1	2	yes	complemented
63	#15689371	C₂²	1	2	yes	complemented
64	#15689367	C₂²	1	2	yes	complemented
65	#15689362	C₂²	1	2	yes	complemented
66	#15689357	C₂²	1	2	yes	complemented
67	#15689354	C₂²	1	2	yes	complemented
68	#15689350	C₂²	1	2	yes	complemented
69	#15689342	C₂²	1	1	yes	characteristic, complemented
70	#15689342	C₂²	1	1	yes	characteristic, complemented
71	#15689335	C₂²	1	1	yes	characteristic, complemented
72	#15689335	C₂²	1	1	yes	characteristic, complemented
73	#15689330	C₂²	1	1	yes	characteristic, complemented
74	#15689325	C₂²	1	1	yes	characteristic, complemented
75	#15689320	C₂²	1	1	yes	characteristic, complemented
76	#15689315	C₂²	1	1	yes	characteristic, complemented
77	#15689285	C₂²	1	2	yes	complemented
78	#15689285	C₂²	1	2	yes	complemented
79	#15689274	C₂²	1	2	yes	complemented
80	#15689274	C₂²	1	2	yes	complemented
81	#15689268	C₂²	1	2	yes	complemented
82	#15689268	C₂²	1	2	yes	complemented
83	#15689257	C₂²	1	2	yes	complemented
84	#15689257	C₂²	1	2	yes	complemented
85	#15689233	C₂²	1	2	yes	complemented
86	#15689223	C₂²	1	2	yes	complemented
87	C₄×#10625335	C₂²	1	2	yes	complemented
88	C₄×#10625334	C₂²	1	2	yes	complemented
89	#15689201	C₂²	1	2	yes	complemented
90	#15689195	C₂²	1	2	yes	complemented
91	#15689195	C₂²	1	2	yes	complemented
92	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
93	#15689163	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13093957	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13093955	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
97	#15689128	C₂²	1	1	yes	characteristic
98	#15689128	C₂²	1	2	yes	complemented
99	#15689128	C₂²	1	2	yes	complemented
100	#15689124	C₂²	1	1	yes	characteristic, complemented
101	#15689124	C₂²	1	1	yes	characteristic, complemented
102	#15689124	C₂²	1	2	yes	complemented
103	#15689124	C₂²	1	2	yes	complemented
104	#15689124	C₂²	1	1	yes	characteristic, complemented
105	#15689124	C₂²	1	1	yes	characteristic, complemented
106	#15689122	C₂²	1	1	yes	characteristic, complemented
107	#15689119	C₂²	1	2	yes	complemented
108	#15689119	C₂²	1	2	yes	complemented
109	#15689119	C₂²	1	1	yes	characteristic, complemented
110	#15689119	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13093945	C₂²	1	1	yes	characteristic
112	C₂×#13093945	C₂²	1	1	yes	characteristic
113	C₂×#13093945	C₂²	1	2	yes	complemented
114	C₂×#13093945	C₂²	1	2	yes	complemented
115	#15689090	C₂²	1	1	yes	characteristic, complemented
116	#15689090	C₂²	1	1	yes	characteristic, complemented
117	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
118	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
119	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
120	C₄₇×#547	—	2	1	no	—
121	C₄₇×#547	C₂²	1	2	yes	—
122	C₄₇×#546	—	2	1	no	—
123	C₄₇×#546	—	2	1	no	—
124	C₄₇×#546	C₂²	1	2	yes	—
125	C₄₇×#546	C₂²	1	2	yes	—
126	D₄²×C₄₇	—	2	1	no	—
127	D₄²×C₄₇	C₂²	1	2	yes	—
128	C₄₇×#537	C₂²	1	1	yes	characteristic
129	C₄₇×#537	C₂²	1	1	yes	characteristic
130	C₄₇×#534	—	2	2	no	—
131	C₄₇×#532	C₂²	1	1	yes	characteristic
132	C₄₇×#532	C₂²	1	1	yes	characteristic
133	C₂×#121×C₄₇	—	2	2	no	—
134	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
135	C₂×#10625350	C₂³	1	1	yes	characteristic
136	#13094050	—	2	4	no	—
137	#13094044	—	4	2	no	—
138	#13094044	—	4	2	no	—
139	C₂×#10625337	C₂³	1	1	yes	characteristic
140	C₂×#10625337	C₂³	1	1	yes	characteristic
141	C₂×#10625335	C₂³	1	2	yes	—
142	C₂×#10625335	C₂³	1	1	yes	characteristic
143	C₂×#10625335	C₂³	1	1	yes	characteristic
144	C₂×#10625336	C₂³	1	1	yes	characteristic
145	C₂×#10625336	C₂³	1	1	yes	characteristic
146	C₂×#10625334	C₂³	1	2	yes	—
147	C₂×#10625334	C₂³	1	1	yes	characteristic
148	C₂×#10625334	C₂³	1	1	yes	characteristic
149	#13094031	—	4	2	no	—
150	#13094031	—	4	2	no	—
151	C₂×#10625329	C₂³	1	1	yes	characteristic
152	C₂×#10625329	C₂³	1	1	yes	characteristic
153	C₂×#10625329	C₂³	1	2	yes	—
154	C₂×#10625329	C₂³	1	2	yes	—
155	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
156	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
157	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
158	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
159	#13094019	—	2	2	no	—
160	#13094019	—	2	2	no	—
161	#13094017	—	2	2	no	—
162	#13094017	—	2	2	no	—
163	#13094016	—	2	1	no	—
164	#13094016	—	2	1	no	—
165	#13094016	C₂³	1	2	yes	—
166	#13094016	C₂³	1	2	yes	—
167	#13094014	—	2	2	no	—
168	#13094014	—	2	2	no	—
169	#13094006	—	2	2	no	—
170	#13094006	—	2	2	no	—
171	#13094005	—	2	2	no	—
172	#13094005	—	2	2	no	—
173	#13094003	C₂³	1	2	yes	—
174	#13094003	C₂³	1	2	yes	—
175	#13094000	—	2	1	no	—
176	#13094000	—	2	1	no	—
177	#13093998	C₂³	1	2	yes	—
178	#13093998	C₂³	1	2	yes	—
179	#13093996	—	2	2	no	—
180	#13093996	—	2	2	no	—
181	#13093996	—	2	2	no	—
182	#13093996	—	2	2	no	—
183	#13093995	—	2	1	no	—
184	#13093995	—	2	1	no	—
185	Q₈×Dic₄₇	—	2	1	no	—
186	Q₈×Dic₄₇	—	2	1	no	—
187	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
189	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
190	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
191	D₄×Dic₄₇	—	2	2	no	—
192	D₄×Dic₄₇	—	2	2	no	—
193	D₄×Dic₄₇	—	2	1	no	—
194	D₄×Dic₄₇	—	2	1	no	—
195	C₄×C₂²⋊D₄₇	—	2	1	no	—
196	C₄×C₂²⋊D₄₇	—	2	1	no	—
197	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
198	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
199	#13093983	C₂³	1	2	yes	—
200	#13093983	C₂³	1	2	yes	—
201	#13093983	C₂³	1	1	yes	characteristic
202	#13093981	—	2	1	no	—
203	#13093980	—	2	2	no	—
204	#13093980	—	2	2	no	—
205	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
206	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
207	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
209	C₂×Dic₄₇⋊C₄	—	2	1	no	—
210	C₂×Dic₄₇⋊C₄	—	2	1	no	—
211	C₄²×D₄₇	—	2	1	no	—
212	#13093957	C₂³	1	2	yes	—
213	#13093957	C₂³	1	2	yes	—
214	#13093957	C₂³	1	2	yes	—
215	#13093955	C₂³	1	2	yes	—
216	#13093955	C₂³	1	2	yes	—
217	#13093955	C₂³	1	2	yes	—
218	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
219	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
220	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
221	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
222	#13093948	C₂³	1	2	yes	—
223	#13093948	C₂³	1	2	yes	—
224	#13093948	C₂³	1	2	yes	—
225	#13093948	C₂³	1	2	yes	—
226	#13093948	C₂³	1	1	yes	characteristic
227	#13093948	C₂³	1	1	yes	characteristic
228	#13093948	C₂³	1	1	yes	characteristic
229	#13093948	C₂³	1	1	yes	characteristic
230	#13093947	C₂³	1	2	yes	—
231	#13093945	C₂³	1	2	yes	—
232	#13093945	C₂³	1	2	yes	—
233	#13093945	C₂³	1	2	yes	—
234	#13093945	C₂³	1	2	yes	—
235	#13093945	C₂³	1	2	yes	—
236	#13093945	C₂³	1	2	yes	—
237	#13093945	C₂³	1	2	yes	—
238	#13093945	C₂³	1	2	yes	—
239	#13093945	C₂³	1	2	yes	—
240	#13093945	C₂³	1	2	yes	—
241	#13093945	C₂³	1	1	yes	characteristic
242	#13093945	C₂³	1	1	yes	characteristic
243	#13093945	C₂³	1	1	yes	characteristic
244	#13093945	C₂³	1	1	yes	characteristic
245	#13093944	C₂³	1	2	yes	—
246	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
247	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
248	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
249	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
250	#13093935	C₂³	1	2	yes	—
251	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
252	H(5,𝔽₂)×C₄₇	—	2	4	no	—
253	H(5,𝔽₂)×C₄₇	—	2	4	no	—
254	H(5,𝔽₂)×C₄₇	—	4	2	no	—
255	H(5,𝔽₂)×C₄₇	—	4	2	no	—
256	C₂×#41×C₄₇	—	2	1	no	—
257	C₂×#41×C₄₇	—	2	1	no	—
258	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
259	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
260	C₂×#41×C₄₇	C₂³	1	2	yes	—
261	C₂×#41×C₄₇	C₂³	1	2	yes	—
262	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
263	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
264	C₂²×D₄×C₄₇	—	2	2	no	—
265	C₂²×D₄×C₄₇	—	2	2	no	—
266	C₂²×D₄×C₄₇	—	2	1	no	—
267	C₂²×D₄×C₄₇	—	2	1	no	—
268	C₂²×D₄×C₄₇	—	2	2	no	—
269	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
270	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
271	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
272	C₂³×C₄×C₄₇	—	2	1	no	—
273	C₄⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
274	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
275	#127×C₄₇	D₄	1	1	yes	characteristic
276	#127×C₄₇	C₂³	1	1	yes	characteristic
277	#124×C₄₇	D₄	1	1	yes	characteristic
278	#124×C₄₇	D₄	1	1	yes	characteristic
279	#124×C₄₇	C₂³	1	1	yes	characteristic
280	#124×C₄₇	C₂³	1	1	yes	characteristic
281	#123×C₄₇	—	2	2	no	—
282	#123×C₄₇	—	2	2	no	—
283	#123×C₄₇	—	2	2	no	—
284	#123×C₄₇	—	2	2	no	—
285	C₂²⋊Q₈×C₄₇	—	2	1	no	—
286	C₂²⋊Q₈×C₄₇	—	2	1	no	—
287	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
288	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
289	#121×C₄₇	—	2	2	no	—
290	#121×C₄₇	—	2	2	no	—
291	#121×C₄₇	—	2	2	no	—
292	#121×C₄₇	—	2	1	no	—
293	#121×C₄₇	—	2	1	no	—
294	#121×C₄₇	—	2	1	no	—
295	#121×C₄₇	—	2	1	no	—
296	#121×C₄₇	—	2	2	no	—
297	#121×C₄₇	—	2	2	no	—
298	#121×C₄₇	—	2	2	no	—
299	#121×C₄₇	D₄	1	2	yes	—
300	#121×C₄₇	D₄	1	2	yes	—
301	#121×C₄₇	C₂³	1	2	yes	—
302	#121×C₄₇	C₂³	1	2	yes	—
303	#120×C₄₇	—	2	2	no	—
304	#120×C₄₇	—	2	2	no	—
305	#120×C₄₇	—	2	2	no	—
306	#120×C₄₇	—	2	2	no	—
307	C₄×D₄×C₄₇	—	2	1	no	—
308	C₄×D₄×C₄₇	—	2	1	no	—
309	C₄×D₄×C₄₇	—	2	1	no	—
310	C₄×D₄×C₄₇	—	2	1	no	—
311	C₄×D₄×C₄₇	C₂³	1	2	yes	—
312	C₄×D₄×C₄₇	C₂³	1	2	yes	—
313	C₄×D₄×C₄₇	C₂³	1	2	yes	—
314	C₄×D₄×C₄₇	C₂³	1	2	yes	—
315	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
316	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
318	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
319	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
320	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
321	C₂⁴×C₄₇	—	2	1	no	—
322	C₂⁴×C₄₇	—	2	2	no	—
323	C₂⁴×C₄₇	—	2	2	no	—
324	#41×C₄₇	—	2	2	no	—
325	#41×C₄₇	—	2	2	no	—
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	#41×C₄₇	—	2	4	no	—
329	#41×C₄₇	—	2	4	no	—
330	#41×C₄₇	—	2	2	no	—
331	#41×C₄₇	—	2	2	no	—
332	#41×C₄₇	—	2	2	no	—
333	#41×C₄₇	—	2	2	no	—
334	#41×C₄₇	—	4	2	no	—
335	#41×C₄₇	—	4	2	no	—
336	#41×C₄₇	—	4	4	no	—
337	#41×C₄₇	—	4	4	no	—
338	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
339	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
340	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
341	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₄₇	—	2	4	no	—
343	C₂×D₄×C₄₇	—	2	4	no	—
344	C₂×D₄×C₄₇	—	2	2	no	—
345	C₂×D₄×C₄₇	—	2	2	no	—
346	C₂×D₄×C₄₇	—	2	1	no	—
347	C₂×D₄×C₄₇	—	2	1	no	—
348	C₂×D₄×C₄₇	—	2	2	no	—
349	C₂×D₄×C₄₇	—	2	2	no	—
350	C₂×D₄×C₄₇	—	2	1	no	—
351	C₂×D₄×C₄₇	—	2	1	no	—
352	C₂×D₄×C₄₇	—	2	2	no	—
353	C₂×D₄×C₄₇	—	2	2	no	—
354	C₂×D₄×C₄₇	—	2	1	no	—
355	C₂×D₄×C₄₇	—	2	2	no	—
356	C₂×D₄×C₄₇	—	4	2	no	—
357	C₂×D₄×C₄₇	—	4	2	no	—
358	C₂×D₄×C₄₇	—	4	4	no	—
359	C₂×D₄×C₄₇	—	4	4	no	—
360	C₂×D₄×C₄₇	—	4	8	no	—
361	C₂×D₄×C₄₇	—	4	8	no	—
362	C₂×D₄×C₄₇	—	8	4	no	—
363	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
364	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
365	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
366	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
367	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
368	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₄₇	#41	1	4	yes	—
370	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₄₇	—	2	1	no	—
374	C₂²×C₄×C₄₇	—	2	2	no	—
375	C₂²×C₄×C₄₇	—	2	2	no	—
376	C₂²×C₄×C₄₇	—	2	2	no	—
377	C₂²×C₄×C₄₇	—	2	1	no	—
378	C₂²×C₄×C₄₇	—	2	1	no	—
379	C₂²×C₄×C₄₇	—	2	2	no	—
380	C₂²×C₄×C₄₇	—	8	2	no	—
381	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₂²⋊D₄₇	—	2	1	no	—
387	C₂×C₂²⋊D₄₇	—	2	2	no	—
388	C₂×C₂²⋊D₄₇	—	2	2	no	—
389	C₂²×Dic₄₇	—	2	1	no	—
390	C₂²×Dic₄₇	—	2	1	no	—
391	C₂²×Dic₄₇	—	2	2	no	—
392	C₂²×Dic₄₇	—	2	2	no	—
393	#10625350	—	2	2	no	—
394	#10625350	—	2	2	no	—
395	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×D₄₇	—	2	1	no	—
397	C₂×C₄×D₄₇	—	2	1	no	—
398	C₂×C₄×D₄₇	—	2	1	no	—
399	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₄₇	—	2	1	no	—
401	C₄⋊C₄×C₄₇	—	2	2	no	—
402	C₄⋊C₄×C₄₇	—	2	2	no	—
403	C₄⋊C₄×C₄₇	—	2	1	no	—
404	C₄⋊C₄×C₄₇	—	2	1	no	—
405	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
407	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
408	C₂²⋊C₄×C₄₇	—	2	2	no	—
409	C₂²⋊C₄×C₄₇	—	2	2	no	—
410	C₂²⋊C₄×C₄₇	—	2	1	no	—
411	C₂²⋊C₄×C₄₇	—	2	1	no	—
412	C₂²⋊C₄×C₄₇	—	2	2	no	—
413	C₂²⋊C₄×C₄₇	—	2	2	no	—
414	C₂²⋊C₄×C₄₇	—	2	2	no	—
415	C₂²⋊C₄×C₄₇	—	2	2	no	—
416	C₂²⋊C₄×C₄₇	—	2	1	no	—
417	C₂²⋊C₄×C₄₇	—	2	1	no	—
418	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
419	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
420	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
421	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
422	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
423	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
424	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
425	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²⋊Dic₄₇	—	2	2	no	—
427	C₂²⋊Dic₄₇	—	2	2	no	—
428	C₂²⋊Dic₄₇	—	2	1	no	—
429	C₂²⋊Dic₄₇	—	2	2	no	—
430	C₂²⋊Dic₄₇	—	2	2	no	—
431	#10625337	—	4	1	no	—
432	#10625337	—	4	1	no	—
433	#10625336	—	4	1	no	—
434	#10625336	—	4	1	no	—
435	#10625335	—	2	4	no	—
436	#10625335	—	4	1	no	—
437	#10625335	—	4	1	no	—
438	#10625334	—	2	4	no	—
439	#10625334	—	4	1	no	—
440	#10625334	—	4	1	no	—
441	(C₂×D₄₇)⋊C₄	—	2	1	no	—
442	(C₂×D₄₇)⋊C₄	—	2	1	no	—
443	(C₂×D₄₇)⋊C₄	—	2	2	no	—
444	(C₂×D₄₇)⋊C₄	—	2	2	no	—
445	C₄⋊Dic₄₇	—	2	1	no	—
446	C₄⋊Dic₄₇	—	2	1	no	—
447	C₄⋊Dic₄₇	—	2	2	no	—
448	C₄⋊Dic₄₇	—	2	2	no	—
449	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
450	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
451	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
452	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
453	Dic₄₇⋊C₄	—	2	2	no	—
454	Dic₄₇⋊C₄	—	2	2	no	—
455	Dic₄₇⋊C₄	—	2	2	no	—
456	Dic₄₇⋊C₄	—	2	2	no	—
457	Dic₄₇⋊C₄	—	2	2	no	—
458	Dic₄₇⋊C₄	—	2	2	no	—
459	Dic₄₇⋊C₄	—	2	1	no	—
460	Dic₄₇⋊C₄	—	2	1	no	—
461	C₄×Dic₄₇	—	2	1	no	—
462	C₄×Dic₄₇	—	2	1	no	—
463	C₄×Dic₄₇	—	2	1	no	—
464	C₄×Dic₄₇	—	2	2	no	—
465	C₄×Dic₄₇	—	2	2	no	—
466	#10625329	—	2	2	no	—
467	#10625329	—	2	2	no	—
468	#10625329	—	4	2	no	—
469	#10625329	—	4	2	no	—
470	C₂×C₄₇⋊C₈	—	2	2	no	—
471	C₂×C₄₇⋊C₈	—	2	2	no	—
472	C₂×C₄₇⋊C₈	—	4	2	no	—
473	C₂×C₄₇⋊C₈	—	4	2	no	—
474	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
475	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
476	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
477	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
479	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
480	C₂³×C₄₇	—	2	2	no	—
481	C₂³×C₄₇	—	2	4	no	—
482	C₂³×C₄₇	—	2	1	no	—
483	C₂³×C₄₇	—	2	1	no	—
484	C₂³×C₄₇	—	4	4	no	—
485	C₂³×C₄₇	—	4	4	no	—
486	C₂³×C₄₇	—	8	1	no	—
487	C₂³×C₄₇	—	8	1	no	—
488	C₂³×C₄₇	—	8	2	no	—
489	C₂³×C₄₇	—	8	2	no	—
490	C₂³×C₄₇	—	8	2	no	—
491	C₂³×C₄₇	—	8	2	no	—
492	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
493	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
494	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
495	C₂²×D₄₇	—	2	1	no	—
496	Q₈×C₄₇	—	2	2	no	—
497	Q₈×C₄₇	—	2	2	no	—
498	Q₈×C₄₇	—	2	1	no	—
499	Q₈×C₄₇	—	2	1	no	—
500	Q₈×C₄₇	—	2	1	no	—
501	Q₈×C₄₇	—	2	1	no	—
502	D₄×C₄₇	—	2	4	no	—
503	D₄×C₄₇	—	2	4	no	—
504	D₄×C₄₇	—	2	4	no	—
505	D₄×C₄₇	—	2	2	no	—
506	D₄×C₄₇	—	2	2	no	—
507	D₄×C₄₇	—	2	1	no	—
508	D₄×C₄₇	—	2	1	no	—
509	D₄×C₄₇	—	2	2	no	—
510	D₄×C₄₇	—	2	1	no	—
511	D₄×C₄₇	—	2	1	no	—
512	D₄×C₄₇	—	4	2	no	—
513	D₄×C₄₇	—	4	2	no	—
514	D₄×C₄₇	—	4	4	no	—
515	D₄×C₄₇	—	4	4	no	—
516	D₄×C₄₇	—	4	2	no	—
517	D₄×C₄₇	—	4	4	no	—
518	D₄×C₄₇	—	4	4	no	—
519	D₄×C₄₇	—	4	2	no	—
520	D₄×C₄₇	—	4	2	no	—
521	D₄×C₄₇	—	8	1	no	—
522	D₄×C₄₇	—	8	2	no	—
523	D₄×C₄₇	—	8	2	no	—
524	D₄×C₄₇	C₂×#41	1	4	yes	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	2	no	—
527	C₂×C₄×C₄₇	—	2	2	no	—
528	C₂×C₄×C₄₇	—	2	2	no	—
529	C₂×C₄×C₄₇	—	2	2	no	—
530	C₂×C₄×C₄₇	—	2	1	no	—
531	C₂×C₄×C₄₇	—	2	1	no	—
532	C₂×C₄×C₄₇	—	4	1	no	—
533	C₂×C₄×C₄₇	—	4	1	no	—
534	C₂×C₄×C₄₇	—	4	4	no	—
535	C₂×C₄×C₄₇	—	4	4	no	—
536	C₂×C₄×C₄₇	—	4	4	no	—
537	C₂×C₄×C₄₇	—	4	2	no	—
538	C₂×C₄×C₄₇	—	4	2	no	—
539	C₂×C₄×C₄₇	—	8	2	no	—
540	C₂×C₄×C₄₇	—	8	1	no	—
541	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
545	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
549	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
550	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
551	C₂²⋊D₄₇	—	4	2	no	—
552	C₂²⋊D₄₇	—	8	2	no	—
553	C₂²⋊D₄₇	—	8	2	no	—
554	C₂×Dic₄₇	—	2	1	no	—
555	C₂×Dic₄₇	—	2	1	no	—
556	C₂×Dic₄₇	—	2	1	no	—
557	C₂×Dic₄₇	—	2	2	no	—
558	C₂×Dic₄₇	—	2	2	no	—
559	C₂×Dic₄₇	—	8	2	no	—
560	C₂×Dic₄₇	—	8	1	no	—
561	C₂×Dic₄₇	—	8	2	no	—
562	C₂×Dic₄₇	—	8	1	no	—
563	D₁₈₈	—	2	1	no	—
564	D₁₈₈	—	2	1	no	—
565	C₄×D₄₇	—	4	2	no	—
566	C₄×D₄₇	—	8	1	no	—
567	C₄×D₄₇	—	8	1	no	—
568	Dic₉₄	—	2	1	no	—
569	Dic₉₄	—	2	1	no	—
570	C₄₇⋊C₈	—	2	2	no	—
571	C₄₇⋊C₈	—	2	1	no	—
572	C₄₇⋊C₈	—	2	1	no	—
573	C₄₇⋊C₈	—	2	1	no	—
574	C₄₇⋊C₈	—	2	1	no	—
575	C₄₇⋊C₈	—	2	2	no	—
576	#61201	—	47	1	no	maximal, Sylow
577	C₂²×C₄₇	—	2	1	no	—
578	C₂²×C₄₇	—	2	1	no	—
579	C₂²×C₄₇	—	2	2	no	—
580	C₂²×C₄₇	—	2	2	no	—
581	C₂²×C₄₇	—	2	2	no	—
582	C₂²×C₄₇	—	2	2	no	—
583	C₂²×C₄₇	—	2	2	no	—
584	C₂²×C₄₇	—	2	2	no	—
585	C₂²×C₄₇	—	2	4	no	—
586	C₂²×C₄₇	—	4	2	no	—
587	C₂²×C₄₇	—	4	2	no	—
588	C₂²×C₄₇	—	4	1	no	—
589	C₂²×C₄₇	—	4	1	no	—
590	C₂²×C₄₇	—	4	1	no	—
591	C₂²×C₄₇	—	4	1	no	—
592	C₂²×C₄₇	—	4	1	no	—
593	C₂²×C₄₇	—	4	1	no	—
594	C₂²×C₄₇	—	8	4	no	—
595	C₂²×C₄₇	—	16	4	no	—
596	C₂²×C₄₇	—	16	4	no	—
597	C₂²×C₄₇	#546	1	2	yes	—
598	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
599	C₂×D₄₇	—	4	1	no	—
600	C₂×D₄₇	—	4	1	no	—
601	C₂×D₄₇	—	4	1	no	—
602	C₄×C₄₇	—	2	1	no	—
603	C₄×C₄₇	—	2	1	no	—
604	C₄×C₄₇	—	2	1	no	—
605	C₄×C₄₇	—	2	1	no	—
606	C₄×C₄₇	—	2	2	no	—
607	C₄×C₄₇	—	2	2	no	—
608	C₄×C₄₇	—	4	2	no	—
609	C₄×C₄₇	—	4	1	no	—
610	C₄×C₄₇	—	4	1	no	—
611	C₄×C₄₇	#546	1	2	yes	—
612	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
613	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
614	Dic₄₇	—	4	1	no	—
615	Dic₄₇	—	4	2	no	—
616	Dic₄₇	—	4	1	no	—
617	Dic₄₇	—	4	2	no	—
618	Dic₄₇	—	4	1	no	—
619	#3512	—	47	1	no	—
620	#3496	D₄₇	1	1	yes	characteristic, complemented
621	#3323	—	47	2	no	—
622	#3322	—	47	2	no	—
623	#3318	—	47	2	no	—
624	#3315	—	47	2	no	—
625	#3310	—	47	2	no	—
626	#3307	—	47	2	no	—
627	#3297	—	47	2	no	—
628	#3296	—	47	2	no	—
629	#3142	—	47	1	no	—
630	#3099	—	47	1	no	—
631	#3098	—	47	1	no	—
632	C₂×#478	—	47	1	no	—
633	#3061	—	47	1	no	—
634	#3060	—	47	1	no	—
635	#3035	—	47	1	no	—
636	#3012	—	47	1	no	—
637	#3012	—	47	1	no	—
638	C₄×AGL(1,ℤ/8)	—	47	1	no	—
639	#2935	—	47	1	no	—
640	#2897	—	47	1	no	—
641	#2897	—	47	1	no	—
642	C₂×C₄₇	—	2	2	no	—
643	C₂×C₄₇	—	4	2	no	—
644	C₂×C₄₇	—	4	2	no	—
645	C₂×C₄₇	—	4	4	no	—
646	C₂×C₄₇	—	8	1	no	—
647	C₂×C₄₇	—	8	1	no	—
648	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
649	C₂×C₄₇	#3584	1	1	yes	characteristic
650	C₂×C₄₇	#3585	1	1	yes	characteristic
651	D₄₇	—	8	1	no	—
652	C₂×H(5,𝔽₂)	C₂×D₄₇	1	1	yes	characteristic
653	C₂×H(5,𝔽₂)	C₂×D₄₇	1	1	yes	characteristic
654	C₂×AGL(1,ℤ/8)	—	47	1	no	—
655	C₂×#135	—	47	1	no	—
656	C₂×#135	—	47	1	no	—
657	C₂×#131	—	47	1	no	—
658	C₂×#131	—	47	1	no	—
659	#553	—	47	2	no	—
660	#553	—	47	2	no	—
661	#553	—	94	2	no	—
662	#553	—	94	2	no	—
663	#552	—	47	2	no	—
664	#552	—	47	2	no	—
665	#547	—	2	1	no	—
666	#547	C₂×D₄₇	1	2	yes	—
667	#546	—	2	1	no	—
668	#546	—	2	1	no	—
669	#546	C₂×D₄₇	1	2	yes	—
670	#546	C₂×D₄₇	1	2	yes	—
671	D₄²	—	2	1	no	—
672	D₄²	C₂×D₄₇	1	2	yes	—
673	#541	—	94	1	no	—
674	#540	—	94	1	no	—
675	#537	—	47	1	no	—
676	#537	—	47	1	no	—
677	#537	C₂×D₄₇	1	1	yes	characteristic
678	#537	C₂×D₄₇	1	1	yes	characteristic
679	#534	—	2	2	no	—
680	#532	C₂×D₄₇	1	1	yes	characteristic
681	#532	C₂×D₄₇	1	1	yes	characteristic
682	#529	—	94	1	no	—
683	#529	—	94	1	no	—
684	C₂×#125	—	47	1	no	—
685	C₂×#121	—	2	2	no	—
686	#520	—	47	1	no	—
687	#520	—	47	1	no	—
688	C₄×#41	—	47	1	no	—
689	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
690	#491	—	47	2	no	—
691	#490	—	47	2	no	—
692	#488	—	47	2	no	—
693	#488	—	47	2	no	—
694	#485	—	47	2	no	—
695	#485	—	47	2	no	—
696	#484	—	47	2	no	—
697	#483	—	47	2	no	—
698	#482	—	47	2	no	—
699	#482	—	47	2	no	—
700	#481	—	47	2	no	—
701	#480	—	47	2	no	—
702	#478	—	47	2	no	—
703	#478	—	47	2	no	—
704	#478	—	47	2	no	—
705	#478	—	47	2	no	—
706	#470	—	47	2	no	—
707	#469	—	47	2	no	—
708	#468	—	47	2	no	—
709	#468	—	47	2	no	—
710	#467	—	47	2	no	—
711	#466	—	47	2	no	—
712	#465	—	47	2	no	—
713	#465	—	47	2	no	—
714	#464	—	47	1	no	—
715	#464	—	47	1	no	—
716	#463	—	47	1	no	—
717	#463	—	47	1	no	—
718	#462	—	47	1	no	—
719	#461	—	47	1	no	—
720	#460	—	47	1	no	—
721	#459	—	47	1	no	—
722	#452	—	47	2	no	—
723	#452	—	47	2	no	—
724	#450	—	47	2	no	—
725	#450	—	47	2	no	—
726	#449	—	47	2	no	—
727	#449	—	47	2	no	—
728	#447	—	47	2	no	—
729	#447	—	47	2	no	—
730	#442	—	47	2	no	—
731	#440	—	47	2	no	—
732	C₄×SD₁₆	—	47	2	no	—
733	C₄×D₈	—	47	2	no	—
734	#436	—	47	2	no	—
735	#435	—	47	2	no	—
736	#435	—	47	2	no	—
737	C₈×D₄	—	47	2	no	—
738	#428	—	47	1	no	—
739	C₂×#107	—	47	1	no	—
740	C₂×#106	—	47	1	no	—
741	C₂×C₄⋊C₈	—	47	1	no	—
742	#418	—	47	1	no	—
743	#418	—	47	2	no	—
744	#418	—	47	2	no	—
745	#417	—	47	1	no	—
746	#417	—	47	1	no	—
747	#417	—	47	1	no	—
748	#417	—	47	1	no	—
749	#417	—	47	2	no	—
750	#417	—	47	2	no	—
751	#417	—	47	1	no	—
752	#416	—	47	1	no	—
753	#416	—	47	1	no	—
754	#416	—	47	2	no	—
755	#416	—	47	2	no	—
756	C₂×#102	—	47	1	no	—
757	C₂×#102	—	47	1	no	—
758	C₂×#102	—	47	2	no	—
759	C₂×#102	—	47	2	no	—
760	#408	—	47	1	no	—
761	#408	—	47	1	no	—
762	C₄×M₁₆	—	47	1	no	—
763	C₄₇	#61201	1	1	yes	characteristic, complemented, Sylow
764	H(5,𝔽₂)	—	2	4	no	—
765	H(5,𝔽₂)	—	2	4	no	—
766	H(5,𝔽₂)	—	4	2	no	—
767	H(5,𝔽₂)	—	4	2	no	—
768	C₂×#41	—	2	1	no	—
769	C₂×#41	—	2	1	no	—
770	C₂×#41	—	47	1	no	—
771	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
772	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
773	C₂×#41	C₂²×D₄₇	1	2	yes	—
774	C₂×#41	C₂²×D₄₇	1	2	yes	—
775	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
776	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
777	C₂²×D₄	—	2	2	no	—
778	C₂²×D₄	—	2	2	no	—
779	C₂²×D₄	—	2	1	no	—
780	C₂²×D₄	—	2	1	no	—
781	C₂²×D₄	—	2	2	no	—
782	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
783	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
784	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
785	C₂³×C₄	—	2	1	no	—
786	AGL(1,ℤ/8)	—	94	4	no	—
787	#135	—	188	2	no	—
788	#135	—	188	2	no	—
789	C₂×Q₁₆	—	47	1	no	—
790	C₂×Q₁₆	—	47	1	no	—
791	C₂×SD₁₆	—	47	2	no	—
792	C₂×SD₁₆	—	47	1	no	—
793	C₂×SD₁₆	—	47	1	no	—
794	C₂×SD₁₆	—	47	1	no	—
795	C₂×SD₁₆	—	47	1	no	—
796	C₂×D₈	—	47	2	no	—
797	C₂×D₈	—	47	1	no	—
798	C₂×D₈	—	47	1	no	—
799	#131	—	188	2	no	—
800	#131	—	188	2	no	—
801	C₂×M₁₆	—	47	1	no	—
802	C₂×M₁₆	—	47	1	no	—
803	C₂×M₁₆	—	47	2	no	—
804	C₂×M₁₆	—	47	2	no	—
805	C₂²×C₈	—	47	1	no	—
806	C₂²×C₈	—	47	1	no	—
807	C₂²×C₈	—	47	2	no	—
808	C₂²×C₈	—	47	2	no	—
809	C₄⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
810	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
811	#127	C₂²⋊D₄₇	1	1	yes	characteristic
812	#127	C₂²×D₄₇	1	1	yes	characteristic
813	#126	—	94	2	no	—
814	#126	—	94	2	no	—
815	#126	—	94	2	no	—
816	#126	—	94	2	no	—
817	#125	—	47	2	no	—
818	#125	—	47	2	no	—
819	#125	—	94	2	no	—
820	#125	—	94	2	no	—
821	#125	—	94	1	no	—
822	#125	—	94	1	no	—
823	#124	C₂²⋊D₄₇	1	1	yes	characteristic
824	#124	C₂²⋊D₄₇	1	1	yes	characteristic
825	#124	C₂²×D₄₇	1	1	yes	characteristic
826	#124	C₂²×D₄₇	1	1	yes	characteristic
827	#123	—	2	2	no	—
828	#123	—	2	2	no	—
829	#123	—	2	2	no	—
830	#123	—	2	2	no	—
831	#123	—	94	2	no	—
832	#123	—	94	2	no	—
833	#123	—	94	2	no	—
834	#123	—	94	2	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	47	2	no	—
838	C₂²⋊Q₈	—	47	2	no	—
839	C₂²⋊Q₈	—	94	1	no	—
840	C₂²⋊Q₈	—	94	1	no	—
841	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
842	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
843	#121	—	2	2	no	—
844	#121	—	2	2	no	—
845	#121	—	2	2	no	—
846	#121	—	2	1	no	—
847	#121	—	2	1	no	—
848	#121	—	2	1	no	—
849	#121	—	2	1	no	—
850	#121	—	2	2	no	—
851	#121	—	2	2	no	—
852	#121	—	2	2	no	—
853	#121	—	47	2	no	—
854	#121	—	47	2	no	—
855	#121	—	94	1	no	—
856	#121	—	94	1	no	—
857	#121	—	94	2	no	—
858	#121	—	94	2	no	—
859	#121	—	94	2	no	—
860	#121	—	94	2	no	—
861	#121	C₂²⋊D₄₇	1	2	yes	—
862	#121	C₂²⋊D₄₇	1	2	yes	—
863	#121	C₂²×D₄₇	1	2	yes	—
864	#121	C₂²×D₄₇	1	2	yes	—
865	#120	—	2	2	no	—
866	#120	—	2	2	no	—
867	#120	—	2	2	no	—
868	#120	—	2	2	no	—
869	C₄×Q₈	—	47	1	no	—
870	C₄×Q₈	—	47	1	no	—
871	C₄×Q₈	—	94	1	no	—
872	C₄×Q₈	—	94	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	47	1	no	—
878	C₄×D₄	—	47	1	no	—
879	C₄×D₄	—	94	1	no	—
880	C₄×D₄	—	94	1	no	—
881	C₄×D₄	—	94	2	no	—
882	C₄×D₄	—	94	2	no	—
883	C₄×D₄	—	94	1	no	—
884	C₄×D₄	—	94	1	no	—
885	C₄×D₄	—	94	2	no	—
886	C₄×D₄	—	94	2	no	—
887	C₄×D₄	C₂²×D₄₇	1	2	yes	—
888	C₄×D₄	C₂²×D₄₇	1	2	yes	—
889	C₄×D₄	C₂²×D₄₇	1	2	yes	—
890	C₄×D₄	C₂²×D₄₇	1	2	yes	—
891	#117	—	47	1	no	—
892	#117	—	47	2	no	—
893	#117	—	47	2	no	—
894	#117	—	94	2	no	—
895	#117	—	94	2	no	—
896	#117	—	94	1	no	—
897	C₂×C₄⋊C₄	—	2	2	no	—
898	C₂×C₄⋊C₄	—	47	1	no	—
899	C₂×C₄⋊C₄	—	47	1	no	—
900	C₂×C₄⋊C₄	—	47	2	no	—
901	C₂×C₄⋊C₄	—	47	2	no	—
902	C₂×C₄⋊C₄	—	94	1	no	—
903	C₂×C₄⋊C₄	—	94	1	no	—
904	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	—	2	1	no	—
906	C₂×C₂²⋊C₄	—	2	2	no	—
907	C₂×C₂²⋊C₄	—	2	2	no	—
908	C₂×C₄²	—	94	1	no	—
909	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
910	#107	—	47	2	no	—
911	#107	—	47	2	no	—
912	#107	—	47	2	no	—
913	#106	—	47	2	no	—
914	#106	—	47	2	no	—
915	#106	—	47	2	no	—
916	C₄⋊C₈	—	47	1	no	—
917	C₄⋊C₈	—	47	1	no	—
918	C₄⋊C₈	—	47	1	no	—
919	C₄⋊C₈	—	47	1	no	—
920	#103	—	47	1	no	—
921	#103	—	47	1	no	—
922	#103	—	47	1	no	—
923	#103	—	47	1	no	—
924	#103	—	47	2	no	—
925	#103	—	47	2	no	—
926	#103	—	47	2	no	—
927	#103	—	47	2	no	—
928	#103	—	47	2	no	—
929	#102	—	47	2	no	—
930	#102	—	47	2	no	—
931	#102	—	47	1	no	—
932	#102	—	47	1	no	—
933	#102	—	47	2	no	—
934	#102	—	47	2	no	—
935	#102	—	47	2	no	—
936	#102	—	47	2	no	—
937	#102	—	47	2	no	—
938	#102	—	47	2	no	—
939	#102	—	47	1	no	—
940	#102	—	47	1	no	—
941	#102	—	47	2	no	—
942	#102	—	47	2	no	—
943	#102	—	47	2	no	—
944	C₂²⋊C₈	—	47	2	no	—
945	C₂²⋊C₈	—	47	2	no	—
946	C₂²⋊C₈	—	47	2	no	—
947	C₂²⋊C₈	—	47	2	no	—
948	#97	—	47	2	no	—
949	C₄×C₈	—	47	2	no	—
950	C₂⁴	—	2	1	no	—
951	C₂⁴	—	2	2	no	—
952	C₂⁴	—	2	2	no	—
953	#41	—	2	2	no	—
954	#41	—	2	2	no	—
955	#41	—	2	2	no	—
956	#41	—	2	2	no	—
957	#41	—	2	4	no	—
958	#41	—	2	4	no	—
959	#41	—	2	2	no	—
960	#41	—	2	2	no	—
961	#41	—	2	2	no	—
962	#41	—	2	2	no	—
963	#41	—	4	2	no	—
964	#41	—	4	2	no	—
965	#41	—	4	4	no	—
966	#41	—	4	4	no	—
967	#41	—	94	2	no	—
968	#41	—	94	2	no	—
969	C₂×Q₈	—	47	1	no	—
970	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
971	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
972	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
973	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
974	C₂×D₄	—	2	4	no	—
975	C₂×D₄	—	2	4	no	—
976	C₂×D₄	—	2	2	no	—
977	C₂×D₄	—	2	2	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	2	1	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	2	no	—
982	C₂×D₄	—	2	1	no	—
983	C₂×D₄	—	2	1	no	—
984	C₂×D₄	—	2	2	no	—
985	C₂×D₄	—	2	2	no	—
986	C₂×D₄	—	2	1	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	4	2	no	—
989	C₂×D₄	—	4	2	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	—	4	4	no	—
992	C₂×D₄	—	4	8	no	—
993	C₂×D₄	—	4	8	no	—
994	C₂×D₄	—	8	4	no	—
995	C₂×D₄	—	47	1	no	—
996	C₂×D₄	—	94	2	no	—
997	C₂×D₄	—	94	2	no	—
998	C₂×D₄	—	94	1	no	—
999	C₂×D₄	#10625352	1	4	yes	—
1000	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1001	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1002	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1003	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1004	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1005	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1006	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1007	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1008	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	8	2	no	—
1017	C₂²×C₄	—	94	1	no	—
1018	C₂²×C₄	—	94	1	no	—
1019	C₂²×C₄	—	94	2	no	—
1020	C₂²×C₄	—	94	2	no	—
1021	C₂²×C₄	—	94	1	no	—
1022	C₂²×C₄	—	94	1	no	—
1023	C₂²×C₄	—	94	1	no	—
1024	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1027	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1028	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1029	Q₁₆	—	188	1	no	—
1030	Q₁₆	—	188	1	no	—
1031	SD₁₆	—	94	4	no	—
1032	SD₁₆	—	188	1	no	—
1033	SD₁₆	—	188	1	no	—
1034	SD₁₆	—	188	1	no	—
1035	SD₁₆	—	188	1	no	—
1036	D₈	—	94	4	no	—
1037	D₈	—	188	1	no	—
1038	D₈	—	188	1	no	—
1039	M₁₆	—	94	2	no	—
1040	M₁₆	—	94	2	no	—
1041	M₁₆	—	188	2	no	—
1042	M₁₆	—	188	2	no	—
1043	C₂×C₈	—	47	2	no	—
1044	C₂×C₈	—	47	2	no	—
1045	C₂×C₈	—	47	1	no	—
1046	C₂×C₈	—	47	1	no	—
1047	C₂×C₈	—	47	1	no	—
1048	C₂×C₈	—	47	1	no	—
1049	C₂×C₈	—	94	2	no	—
1050	C₂×C₈	—	94	2	no	—
1051	C₂×C₈	—	188	2	no	—
1052	C₂×C₈	—	188	2	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	47	1	no	—
1059	C₄⋊C₄	—	47	2	no	—
1060	C₄⋊C₄	—	47	1	no	—
1061	C₄⋊C₄	—	47	2	no	—
1062	C₄⋊C₄	—	94	2	no	—
1063	C₄⋊C₄	—	94	2	no	—
1064	C₄⋊C₄	—	94	2	no	—
1065	C₄⋊C₄	—	94	2	no	—
1066	C₄⋊C₄	—	94	1	no	—
1067	C₄⋊C₄	—	94	1	no	—
1068	C₄⋊C₄	—	94	2	no	—
1069	C₄⋊C₄	—	94	2	no	—
1070	C₄⋊C₄	—	94	1	no	—
1071	C₄⋊C₄	—	94	1	no	—
1072	C₄⋊C₄	—	94	2	no	—
1073	C₄⋊C₄	—	94	2	no	—
1074	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1075	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1076	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	94	1	no	—
1088	C₂²⋊C₄	—	94	2	no	—
1089	C₂²⋊C₄	—	94	2	no	—
1090	C₂²⋊C₄	—	94	2	no	—
1091	C₂²⋊C₄	—	94	2	no	—
1092	C₂²⋊C₄	—	94	1	no	—
1093	C₂²⋊C₄	—	94	1	no	—
1094	C₂²⋊C₄	—	94	2	no	—
1095	C₂²⋊C₄	—	94	2	no	—
1096	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1097	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1098	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1099	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1100	C₄²	—	94	1	no	—
1101	C₄²	—	94	1	no	—
1102	C₄²	—	94	1	no	—
1103	C₄²	—	94	2	no	—
1104	C₄²	—	94	2	no	—
1105	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1106	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1107	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1108	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	4	no	—
1111	C₂³	—	2	1	no	—
1112	C₂³	—	2	1	no	—
1113	C₂³	—	4	4	no	—
1114	C₂³	—	4	4	no	—
1115	C₂³	—	8	1	no	—
1116	C₂³	—	8	1	no	—
1117	C₂³	—	8	2	no	—
1118	C₂³	—	8	2	no	—
1119	C₂³	—	8	2	no	—
1120	C₂³	—	8	2	no	—
1121	C₂³	—	94	1	no	—
1122	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1123	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1124	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1125	Q₈	—	2	2	no	—
1126	Q₈	—	2	2	no	—
1127	Q₈	—	2	1	no	—
1128	Q₈	—	2	1	no	—
1129	Q₈	—	2	1	no	—
1130	Q₈	—	2	1	no	—
1131	Q₈	—	94	1	no	—
1132	Q₈	—	94	1	no	—
1133	D₄	—	2	4	no	—
1134	D₄	—	2	4	no	—
1135	D₄	—	2	4	no	—
1136	D₄	—	2	2	no	—
1137	D₄	—	2	2	no	—
1138	D₄	—	2	1	no	—
1139	D₄	—	2	1	no	—
1140	D₄	—	2	2	no	—
1141	D₄	—	2	1	no	—
1142	D₄	—	2	1	no	—
1143	D₄	—	4	2	no	—
1144	D₄	—	4	2	no	—
1145	D₄	—	4	4	no	—
1146	D₄	—	4	4	no	—
1147	D₄	—	4	2	no	—
1148	D₄	—	4	4	no	—
1149	D₄	—	4	4	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	2	no	—
1152	D₄	—	8	1	no	—
1153	D₄	—	8	2	no	—
1154	D₄	—	8	2	no	—
1155	D₄	—	94	1	no	—
1156	D₄	—	94	1	no	—
1157	D₄	—	376	2	no	—
1158	D₄	—	376	2	no	—
1159	D₄	—	188	2	no	—
1160	D₄	C₂×#10625352	1	4	yes	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	4	no	—
1171	C₂×C₄	—	4	4	no	—
1172	C₂×C₄	—	4	4	no	—
1173	C₂×C₄	—	4	2	no	—
1174	C₂×C₄	—	4	2	no	—
1175	C₂×C₄	—	8	2	no	—
1176	C₂×C₄	—	8	1	no	—
1177	C₂×C₄	—	94	1	no	—
1178	C₂×C₄	—	94	1	no	—
1179	C₂×C₄	—	94	1	no	—
1180	C₂×C₄	—	94	2	no	—
1181	C₂×C₄	—	94	2	no	—
1182	C₂×C₄	—	376	1	no	—
1183	C₂×C₄	—	376	1	no	—
1184	C₂×C₄	—	376	2	no	—
1185	C₂×C₄	—	376	1	no	—
1186	C₂×C₄	—	376	2	no	—
1187	C₂×C₄	—	376	1	no	—
1188	C₂×C₄	—	188	2	no	—
1189	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1190	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1191	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1192	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1193	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1194	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1195	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1196	C₂×C₄	C₂×#10625352	1	2	yes	—
1197	C₂×C₄	#13094069	1	2	yes	—
1198	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1199	C₈	—	94	2	no	—
1200	C₈	—	94	1	no	—
1201	C₈	—	94	1	no	—
1202	C₈	—	94	1	no	—
1203	C₈	—	94	1	no	—
1204	C₈	—	94	2	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	2	no	—
1209	C₂²	—	2	4	no	—
1210	C₂²	—	2	2	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	4	2	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	8	4	no	—
1223	C₂²	—	16	4	no	—
1224	C₂²	—	16	4	no	—
1225	C₂²	—	188	1	no	—
1226	C₂²	—	188	1	no	—
1227	C₂²	—	188	1	no	—
1228	C₂²	#15689767	1	2	yes	—
1229	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1230	C₄	—	2	2	no	—
1231	C₄	—	2	2	no	—
1232	C₄	—	2	1	no	—
1233	C₄	—	2	1	no	—
1234	C₄	—	2	1	no	—
1235	C₄	—	2	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	2	no	—
1239	C₄	—	188	1	no	—
1240	C₄	—	188	1	no	—
1241	C₄	—	188	2	no	—
1242	C₄	—	188	1	no	—
1243	C₄	—	188	2	no	—
1244	C₄	#15689767	1	2	yes	—
1245	C₄	C₂²×#10625352	1	1	yes	characteristic
1246	C₄	C₂×#13094069	1	1	yes	characteristic
1247	C₂	—	2	2	no	—
1248	C₂	—	4	2	no	—
1249	C₂	—	4	2	no	—
1250	C₂	—	4	4	no	—
1251	C₂	—	8	1	no	—
1252	C₂	—	8	1	no	—
1253	C₂	—	376	1	no	—
1254	C₂	C₂×#15689767	1	1	yes	characteristic
1255	C₂	#20258159	1	1	yes	characteristic
1256	C₂	#20258168	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3496	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3496	D₄₇
hypocenter	C₄₇	#61201
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #532 ◁ #3496

Complements

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

N	H ≅ G/N	type
1. #20257308	C₂	semidirect
2. #20255604	C₂	semidirect
3. #20255589	C₂	semidirect
4. #20255529	C₂	semidirect
5. #20255484	C₂	semidirect
6. #20255409	C₂	semidirect
7. #20255364	C₂	semidirect
8. #20255238	C₂	semidirect
9. #20255223	C₂	semidirect
10. #20253788	C₂	semidirect
11. #20253373	C₂	semidirect
12. #20253362	C₂	semidirect
13. C₂×#15689423	C₂	semidirect
14. #20253055	C₂	semidirect
15. #20253047	C₂	semidirect
16. #20252837	C₂	semidirect
17. #20252692	C₂	semidirect
18. #20252692	C₂	semidirect
19. C₄×#13094050	C₂	semidirect
20. #20252132	C₂	semidirect
21. #20251914	C₂	semidirect
22. #20251914	C₂	semidirect
23. C₄₇×#3496	C₂	semidirect
25. C₂×#13094044	C₂²	semidirect
26. C₂×#13094044	C₂²	semidirect
27. C₂×#13094031	C₂²	semidirect
28. C₂×#13094031	C₂²	semidirect
29. #15689819	C₂²	semidirect
30. #15689819	C₂²	semidirect
33. #15689813	C₂²	semidirect
34. #15689813	C₂²	semidirect
37. #15689701	C₂²	semidirect
38. #15689701	C₂²	semidirect
41. C₂×#13094016	C₂²	semidirect
42. #15689606	C₂²	semidirect
43. #15689606	C₂²	semidirect
44. C₄×#10625350	C₂²	semidirect
45. #15689491	C₂²	semidirect
46. #15689487	C₂²	semidirect
47. #15689477	C₂²	semidirect
48. #15689477	C₂²	semidirect
49. #15689461	C₂²	semidirect
50. #15689461	C₂²	semidirect
51. #15689456	C₂²	semidirect
52. #15689451	C₂²	semidirect
53. #15689444	C₂²	semidirect
54. #15689444	C₂²	semidirect
55. #15689439	C₂²	semidirect
56. #15689434	C₂²	semidirect
57. #15689423	C₂²	semidirect
58. #15689423	C₂²	semidirect
59. #15689423	C₂²	semidirect
60. #15689423	C₂²	semidirect
61. #15689379	C₂²	semidirect
62. #15689374	C₂²	semidirect
63. #15689371	C₂²	semidirect
64. #15689367	C₂²	semidirect
65. #15689362	C₂²	semidirect
66. #15689357	C₂²	semidirect
67. #15689354	C₂²	semidirect
68. #15689350	C₂²	semidirect
69. #15689342	C₂²	semidirect
70. #15689342	C₂²	semidirect
71. #15689335	C₂²	semidirect
72. #15689335	C₂²	semidirect
73. #15689330	C₂²	semidirect
74. #15689325	C₂²	semidirect
75. #15689320	C₂²	semidirect
76. #15689315	C₂²	semidirect
77. #15689285	C₂²	semidirect
78. #15689285	C₂²	semidirect
79. #15689274	C₂²	semidirect
80. #15689274	C₂²	semidirect
81. #15689268	C₂²	semidirect
82. #15689268	C₂²	semidirect
83. #15689257	C₂²	semidirect
84. #15689257	C₂²	semidirect
85. #15689233	C₂²	semidirect
86. #15689223	C₂²	semidirect
87. C₄×#10625335	C₂²	semidirect
88. C₄×#10625334	C₂²	semidirect
89. #15689201	C₂²	semidirect
90. #15689195	C₂²	semidirect
91. #15689195	C₂²	semidirect
92. D₄×C₄₇⋊C₈	C₂²	semidirect
93. #15689163	C₂²	semidirect
94. C₂×#13093957	C₂²	semidirect
95. C₂×#13093955	C₂²	semidirect
96. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
98. #15689128	C₂²	semidirect
99. #15689128	C₂²	semidirect
100. #15689124	C₂²	semidirect
101. #15689124	C₂²	semidirect
102. #15689124	C₂²	semidirect
103. #15689124	C₂²	semidirect
104. #15689124	C₂²	semidirect
105. #15689124	C₂²	semidirect
106. #15689122	C₂²	semidirect
107. #15689119	C₂²	semidirect
108. #15689119	C₂²	semidirect
109. #15689119	C₂²	semidirect
110. #15689119	C₂²	semidirect
113. C₂×#13093945	C₂²	semidirect
114. C₂×#13093945	C₂²	semidirect
115. #15689090	C₂²	semidirect
116. #15689090	C₂²	semidirect
117. C₄×#10625329	C₂²	semidirect
620. #3496	D₄₇	semidirect
763. C₄₇	#61201	semidirect

Maximal subgroups

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

subgroup	index
#20257308	2
#20255604	2
#20255589	2
#20255529	2
#20255484	2
#20255409	2
#20255364	2
#20255238	2
#20255223	2
#20253788	2
#20253373	2
#20253362	2
C₂×#15689423	2
#20253055	2
#20253047	2
#20252837	2
#20252692	2
C₄×#13094050	2
#20252132	2
#20251914	2
C₄₇×#3496	2
#61201	47