Subgroups — #27084841

Order 12032.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1212 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256804	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#13094070	C₂	1	1	yes	maximal, characteristic, complemented
3	#20253656	C₂	1	2	yes	maximal, complemented
4	#20253628	C₂	1	2	yes	maximal, complemented
5	#20253593	C₂	1	2	yes	maximal, complemented
6	#20253578	C₂	1	2	yes	maximal, complemented
7	#20253446	C₂	1	2	yes	maximal, complemented
8	#20253439	C₂	1	2	yes	maximal, complemented
9	#20253412	C₂	1	2	yes	maximal, complemented
10	#20253386	C₂	1	2	yes	maximal, complemented
11	#20253364	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253349	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253237	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253222	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252925	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252894	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252688	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252659	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094049	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13094049	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₄×D₃₇₆	C₂	1	1	yes	maximal, characteristic, complemented
22	#20252030	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#135×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094070	C₂²	1	1	yes	characteristic
25	C₂×#13094049	C₂²	1	1	yes	characteristic
26	C₂×#13094049	C₂²	1	1	yes	characteristic
27	C₂²×D₃₇₆	C₂²	1	1	yes	characteristic
28	#15689751	C₂²	1	1	yes	characteristic, complemented
29	#15689745	C₂²	1	2	yes	complemented
30	#15689744	—	2	1	no	—
31	#15689728	—	2	1	no	—
32	#15689724	C₂²	1	2	yes	complemented
33	#15689706	—	2	2	no	—
34	#15689701	C₂²	1	1	yes	characteristic
35	#15689692	C₂²	1	1	yes	characteristic
36	#15689687	C₂²	1	1	yes	characteristic, complemented
37	#15689673	—	2	1	no	—
38	#15689670	C₂²	1	2	yes	complemented
39	#15689660	C₂²	1	2	yes	complemented
40	#15689657	—	2	1	no	—
41	#15689632	—	2	2	no	—
42	#15689606	C₂²	1	1	yes	characteristic
43	#15689605	C₂²	1	2	yes	complemented
44	#15689603	—	2	1	no	—
45	#15689603	C₂²	1	1	yes	characteristic
46	#15689597	—	2	1	no	—
47	#15689597	C₂²	1	1	yes	characteristic
48	#15689595	—	2	2	no	—
49	#15689595	C₂²	1	2	yes	complemented
50	C₄×#10625354	C₂²	1	2	yes	complemented
51	C₄×#10625350	—	2	1	no	—
52	C₄×#10625350	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₁₈₈	—	2	1	no	—
54	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×D₄₇	—	2	2	no	—
57	C₄×D₄×D₄₇	C₂²	1	2	yes	complemented
58	#15689463	C₂²	1	2	yes	complemented
59	#15689457	C₂²	1	2	yes	complemented
60	#15689450	C₂²	1	2	yes	complemented
61	#15689449	C₂²	1	2	yes	complemented
62	#15689445	C₂²	1	2	yes	complemented
63	#15689443	C₂²	1	2	yes	complemented
64	#15689438	C₂²	1	2	yes	complemented
65	#15689435	C₂²	1	2	yes	complemented
66	#15689432	C₂²	1	2	yes	complemented
67	#15689426	C₂²	1	2	yes	complemented
68	#15689422	C₂²	1	2	yes	complemented
69	#15689421	C₂²	1	2	yes	complemented
70	#15689416	C₂²	1	2	yes	complemented
71	#15689412	C₂²	1	2	yes	complemented
72	#15689402	C₂²	1	2	yes	complemented
73	#15689401	C₂²	1	2	yes	complemented
74	#15689347	C₂²	1	2	yes	complemented
75	#15689341	C₂²	1	2	yes	complemented
76	#15689341	C₂²	1	2	yes	complemented
77	#15689340	C₂²	1	2	yes	complemented
78	#15689321	C₂²	1	2	yes	complemented
79	#15689317	C₂²	1	2	yes	complemented
80	#15689317	C₂²	1	2	yes	complemented
81	#15689316	C₂²	1	2	yes	complemented
82	#15689284	C₂²	1	2	yes	complemented
83	#15689272	C₂²	1	2	yes	complemented
84	#15689271	C₂²	1	2	yes	—
85	#15689271	C₂²	1	2	yes	—
86	#15689267	C₂²	1	2	yes	complemented
87	#15689258	C₂²	1	2	yes	—
88	#15689258	C₂²	1	2	yes	—
89	#15689255	C₂²	1	2	yes	complemented
90	#15689233	C₂²	1	2	yes	complemented
91	#15689233	C₂²	1	2	yes	complemented
92	#15689221	C₂²	1	2	yes	complemented
93	#15689221	C₂²	1	2	yes	complemented
94	C₄×#10625336	C₂²	1	2	yes	complemented
95	C₄×#10625336	C₂²	1	2	yes	complemented
96	C₄×D₃₇₆	C₂²	1	2	yes	complemented
97	C₄×D₃₇₆	C₂²	1	2	yes	complemented
98	C₄×D₃₇₆	C₂²	1	2	yes	complemented
99	C₄×D₃₇₆	C₂²	1	2	yes	complemented
100	C₄×#10625334	C₂²	1	2	yes	complemented
101	C₄×#10625334	C₂²	1	2	yes	complemented
102	#15689182	C₂²	1	2	yes	complemented
103	#15689182	C₂²	1	2	yes	complemented
104	#15689174	C₂²	1	2	yes	complemented
105	#15689174	C₂²	1	2	yes	complemented
106	#15689166	C₂²	1	1	yes	characteristic, complemented
107	#15689166	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13093958	C₂²	1	1	yes	characteristic, complemented
109	#15689149	C₂²	1	1	yes	characteristic, complemented
110	#15689149	C₂²	1	1	yes	characteristic, complemented
111	#15689127	C₂²	1	1	yes	characteristic
112	#15689127	C₂²	1	1	yes	characteristic, complemented
113	#15689124	C₂²	1	1	yes	characteristic
114	#15689124	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13093946	C₂²	1	1	yes	characteristic
116	C₂×#13093946	C₂²	1	1	yes	characteristic, complemented
117	#15689089	C₂²	1	1	yes	characteristic
118	#15689089	C₂²	1	1	yes	characteristic
119	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
120	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
122	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
125	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
130	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#416	C₂²	1	1	yes	characteristic
133	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	#13094070	—	2	4	no	—
136	#13094070	—	2	4	no	—
137	C₂×#10625354	C₂³	1	2	yes	—
138	C₂×#10625350	—	2	2	no	—
139	C₂×#10625350	—	2	1	no	—
140	C₂×#10625350	C₂³	1	1	yes	characteristic
141	C₂²×D₁₈₈	—	2	1	no	—
142	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
143	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
144	C₂×D₄×D₄₇	—	2	2	no	—
145	C₂×D₄×D₄₇	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₇	—	2	1	no	—
147	C₂²×C₄×D₄₇	—	2	1	no	—
148	C₂²×C₄×D₄₇	—	2	2	no	—
149	#13094049	—	2	4	no	—
150	#13094049	—	2	4	no	—
151	C₂×#10625336	C₂³	1	2	yes	—
152	C₂×#10625336	C₂³	1	2	yes	—
153	C₂×D₃₇₆	—	2	4	no	—
154	C₂×D₃₇₆	C₂³	1	2	yes	—
155	C₂×D₃₇₆	C₂³	1	2	yes	—
156	C₂×#10625334	C₂³	1	2	yes	—
157	C₂×#10625334	C₂³	1	2	yes	—
158	C₂×#10625329	C₂³	1	1	yes	characteristic
159	C₂×#10625329	C₂³	1	1	yes	characteristic
160	#13094024	—	2	1	no	—
161	#13094023	C₂³	1	2	yes	—
162	#13094021	—	2	1	no	—
163	#13094020	C₂³	1	2	yes	—
164	#13094019	—	2	2	no	—
165	#13094018	—	2	2	no	—
166	#13094016	—	2	1	no	—
167	#13094015	C₂³	1	2	yes	—
168	#13094013	C₂³	1	2	yes	—
169	#13094012	—	2	1	no	—
170	#13094012	—	2	2	no	—
171	#13094010	—	2	2	no	—
172	#13094009	—	2	2	no	—
173	#13094009	—	2	2	no	—
174	#13094007	—	2	2	no	—
175	#13094006	—	2	2	no	—
176	#13094003	—	2	1	no	—
177	#13094002	—	2	2	no	—
178	#13094001	—	2	2	no	—
179	#13094000	C₂³	1	2	yes	—
180	#13093999	C₂³	1	2	yes	—
181	#13093999	C₂³	1	2	yes	—
182	#13093998	—	2	1	no	—
183	#13093998	—	2	2	no	—
184	#13093998	—	2	1	no	—
185	#13093998	—	2	1	no	—
186	#13093997	—	2	2	no	—
187	#13093997	—	2	2	no	—
188	#13093996	—	2	2	no	—
189	#13093995	C₂³	1	2	yes	—
190	#13093994	—	2	2	no	—
191	#13093992	—	2	2	no	—
192	Q₈×Dic₄₇	C₂³	1	2	yes	—
193	C₄×Dic₉₄	—	2	1	no	—
194	C₄×Dic₉₄	D₄	1	1	yes	characteristic
195	C₄×Dic₉₄	D₄	1	1	yes	characteristic
196	C₄×D₁₈₈	—	2	1	no	—
197	C₄×D₁₈₈	—	2	2	no	—
198	C₄×D₁₈₈	—	2	2	no	—
199	C₄×D₁₈₈	—	2	1	no	—
200	C₄×D₁₈₈	—	2	1	no	—
201	C₄×D₁₈₈	—	2	1	no	—
202	C₄×D₁₈₈	—	2	1	no	—
203	C₄×D₁₈₈	—	2	2	no	—
204	C₄×D₁₈₈	—	2	1	no	—
205	C₄×D₁₈₈	—	2	1	no	—
206	C₄×D₁₈₈	D₄	1	1	yes	characteristic
207	C₄×D₁₈₈	D₄	1	1	yes	characteristic
208	C₄×D₁₈₈	C₂³	1	2	yes	—
209	C₄×D₁₈₈	C₂³	1	2	yes	—
210	C₄×D₁₈₈	C₂³	1	2	yes	—
211	C₄×D₁₈₈	C₂³	1	2	yes	—
212	D₄×Dic₄₇	—	2	2	no	—
213	D₄×Dic₄₇	C₂³	1	2	yes	—
214	#13093986	—	2	2	no	—
215	#13093986	—	2	2	no	—
216	#13093986	C₂³	1	2	yes	—
217	#13093986	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₇	—	2	2	no	—
219	C₄×C₂²⋊D₄₇	—	2	2	no	—
220	C₄×C₂²⋊D₄₇	—	2	2	no	—
221	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
222	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
223	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
224	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
225	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
226	#13093983	—	2	1	no	—
227	#13093983	C₂³	1	1	yes	characteristic
228	#13093982	—	2	2	no	—
229	#13093982	C₂³	1	2	yes	—
230	#13093981	—	2	2	no	—
231	#13093981	—	2	2	no	—
232	#13093981	C₂³	1	2	yes	—
233	C₂×C₄⋊Dic₄₇	—	2	1	no	—
234	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×D₄₇	—	2	2	no	—
237	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
238	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
239	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
240	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
241	C₂²⋊C₄×D₄₇	—	2	2	no	—
242	C₂²⋊C₄×D₄₇	—	2	2	no	—
243	C₂²⋊C₄×D₄₇	—	2	2	no	—
244	C₄²×D₄₇	—	2	2	no	—
245	C₄²×D₄₇	C₂³	1	2	yes	—
246	#13093958	C₂³	1	2	yes	—
247	#13093958	C₂³	1	2	yes	—
248	#13093957	C₂³	1	2	yes	—
249	#13093957	C₂³	1	2	yes	—
250	#13093955	C₂³	1	2	yes	—
251	#13093955	C₂³	1	2	yes	—
252	Dic₄₇⋊C₈	C₂³	1	2	yes	—
253	Dic₄₇⋊C₈	C₂³	1	2	yes	—
254	Dic₄₇⋊C₈	C₂³	1	2	yes	—
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	#13093948	C₂³	1	2	yes	—
257	#13093948	C₂³	1	2	yes	—
258	#13093946	C₂³	1	2	yes	—
259	#13093946	C₂³	1	2	yes	—
260	#13093946	C₂³	1	2	yes	—
261	#13093946	C₂³	1	2	yes	—
262	#13093945	C₂³	1	2	yes	—
263	#13093945	C₂³	1	2	yes	—
264	#13093944	C₂³	1	2	yes	—
265	#13093944	C₂³	1	2	yes	—
266	#13093944	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	#13093935	C₂³	1	2	yes	—
273	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
274	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
275	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
276	#135×C₄₇	—	2	4	no	—
277	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
279	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
280	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
282	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
283	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₇	—	2	1	no	—
288	C₄×D₄×C₄₇	—	2	1	no	—
289	C₄×D₄×C₄₇	—	2	1	no	—
290	C₄×D₄×C₄₇	—	2	1	no	—
291	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
295	#117×C₄₇	—	2	1	no	—
296	#117×C₄₇	—	2	1	no	—
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	#117×C₄₇	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₄₇	—	2	1	no	—
300	C₂×C₄²×C₄₇	—	2	1	no	—
301	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
302	#107×C₄₇	C₂³	1	1	yes	characteristic
303	#107×C₄₇	C₂³	1	1	yes	characteristic
304	#106×C₄₇	C₂³	1	1	yes	characteristic
305	#106×C₄₇	C₂³	1	1	yes	characteristic
306	#103×C₄₇	C₂³	1	1	yes	characteristic
307	#103×C₄₇	C₂³	1	1	yes	characteristic
308	#103×C₄₇	C₂³	1	1	yes	characteristic
309	#103×C₄₇	C₂³	1	1	yes	characteristic
310	#102×C₄₇	C₂³	1	1	yes	characteristic
311	#102×C₄₇	C₂³	1	1	yes	characteristic
312	#102×C₄₇	C₂³	1	1	yes	characteristic
313	#102×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
318	C₂³×D₄₇	—	2	1	no	—
319	C₂³×D₄₇	—	2	2	no	—
320	C₂³×D₄₇	—	2	1	no	—
321	#41×C₄₇	—	2	2	no	—
322	#41×C₄₇	—	2	2	no	—
323	#41×C₄₇	—	2	2	no	—
324	#41×C₄₇	#41	1	4	yes	complemented
325	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
326	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₄₇	—	2	1	no	—
328	C₂×D₄×C₄₇	—	2	1	no	—
329	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₇	—	2	1	no	—
332	C₂²×C₄×C₄₇	—	2	1	no	—
333	C₂²×C₄×C₄₇	—	2	1	no	—
334	C₂²×C₄×C₄₇	—	2	1	no	—
335	C₂²×C₄×C₄₇	—	2	1	no	—
336	C₂²×C₄×C₄₇	—	2	1	no	—
337	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
340	C₂×C₂²⋊D₄₇	—	2	2	no	—
341	C₂×C₂²⋊D₄₇	—	2	2	no	—
342	C₂×C₂²⋊D₄₇	—	2	2	no	—
343	C₂×C₂²⋊D₄₇	—	2	2	no	—
344	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
345	C₂²×Dic₄₇	—	2	1	no	—
346	C₂²×Dic₄₇	—	2	1	no	—
347	C₂²×Dic₄₇	—	2	2	no	—
348	#10625354	—	2	4	no	—
349	#10625354	—	2	4	no	—
350	D₄×D₄₇	—	2	16	no	—
351	D₄×D₄₇	—	2	4	no	—
352	D₄×D₄₇	—	2	4	no	—
353	#10625350	—	2	8	no	—
354	#10625350	—	2	2	no	—
355	#10625350	—	2	2	no	—
356	#10625350	—	8	4	no	—
357	C₂×D₁₈₈	—	2	8	no	—
358	C₂×D₁₈₈	—	2	2	no	—
359	C₂×D₁₈₈	—	2	1	no	—
360	C₂×D₁₈₈	—	2	2	no	—
361	C₂×D₁₈₈	—	2	2	no	—
362	C₂×D₁₈₈	—	2	2	no	—
363	C₂×D₁₈₈	—	2	1	no	—
364	C₂×D₁₈₈	—	2	2	no	—
365	C₂×D₁₈₈	—	2	2	no	—
366	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
367	C₂×D₁₈₈	#41	1	4	yes	complemented
368	C₂×D₁₈₈	C₂⁴	1	2	yes	—
369	C₂×D₁₈₈	C₂⁴	1	2	yes	—
370	C₂×C₄×D₄₇	—	2	2	no	—
371	C₂×C₄×D₄₇	—	2	2	no	—
372	C₂×C₄×D₄₇	—	2	2	no	—
373	C₂×C₄×D₄₇	—	2	2	no	—
374	C₂×C₄×D₄₇	—	2	2	no	—
375	C₂×C₄×D₄₇	—	2	2	no	—
376	C₂×C₄×D₄₇	—	2	2	no	—
377	C₂×C₄×D₄₇	—	2	2	no	—
378	C₂×C₄×D₄₇	—	8	4	no	—
379	C₂×C₄×D₄₇	—	8	2	no	—
380	C₂×C₄×D₄₇	—	8	2	no	—
381	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
382	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
383	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
384	C₂×Dic₉₄	—	2	2	no	—
385	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
386	Q₁₆×C₄₇	—	2	2	no	—
387	SD₁₆×C₄₇	—	2	2	no	—
388	SD₁₆×C₄₇	—	2	2	no	—
389	D₈×C₄₇	—	2	2	no	—
390	C₂×C₈×C₄₇	—	2	2	no	—
391	C₂×C₈×C₄₇	—	2	2	no	—
392	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₄₇	—	2	1	no	—
397	C₄⋊C₄×C₄₇	—	2	1	no	—
398	C₄⋊C₄×C₄₇	—	2	1	no	—
399	C₄⋊C₄×C₄₇	—	2	1	no	—
400	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²⋊C₄×C₄₇	—	2	1	no	—
405	C₂²⋊C₄×C₄₇	—	2	1	no	—
406	C₂²⋊C₄×C₄₇	—	2	1	no	—
407	C₂²⋊C₄×C₄₇	—	2	1	no	—
408	C₂²⋊C₄×C₄₇	—	2	1	no	—
409	C₂²⋊C₄×C₄₇	—	2	1	no	—
410	C₄²×C₄₇	—	2	1	no	—
411	C₄²×C₄₇	—	2	1	no	—
412	C₄²×C₄₇	—	2	1	no	—
413	C₄²×C₄₇	—	2	1	no	—
414	C₄²×C₄₇	—	2	1	no	—
415	C₄²×C₄₇	—	2	1	no	—
416	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
418	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
419	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²⋊Dic₄₇	—	2	2	no	—
421	C₂²⋊Dic₄₇	—	2	2	no	—
422	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
423	#10625336	—	2	4	no	—
424	#10625336	—	2	4	no	—
425	#10625334	—	2	4	no	—
426	#10625334	—	2	4	no	—
427	(C₂×D₄₇)⋊C₄	—	2	2	no	—
428	(C₂×D₄₇)⋊C₄	—	2	2	no	—
429	(C₂×D₄₇)⋊C₄	—	2	2	no	—
430	(C₂×D₄₇)⋊C₄	—	2	2	no	—
431	(C₂×D₄₇)⋊C₄	—	2	2	no	—
432	(C₂×D₄₇)⋊C₄	—	2	2	no	—
433	(C₂×D₄₇)⋊C₄	—	2	2	no	—
434	(C₂×D₄₇)⋊C₄	—	2	2	no	—
435	(C₂×D₄₇)⋊C₄	—	2	2	no	—
436	(C₂×D₄₇)⋊C₄	—	2	2	no	—
437	(C₂×D₄₇)⋊C₄	—	2	2	no	—
438	(C₂×D₄₇)⋊C₄	—	2	2	no	—
439	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
440	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
441	C₄⋊Dic₄₇	—	2	1	no	—
442	C₄⋊Dic₄₇	—	2	1	no	—
443	C₄⋊Dic₄₇	—	2	2	no	—
444	C₄⋊Dic₄₇	—	2	2	no	—
445	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
446	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
447	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
448	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
449	Dic₄₇⋊C₄	—	2	2	no	—
450	Dic₄₇⋊C₄	—	2	2	no	—
451	Dic₄₇⋊C₄	—	2	2	no	—
452	Dic₄₇⋊C₄	—	2	2	no	—
453	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
454	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
455	C₄×Dic₄₇	—	2	2	no	—
456	C₄×Dic₄₇	—	2	2	no	—
457	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
458	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
459	C₄×Dic₄₇	C₂⁴	1	2	yes	—
460	#10625329	—	2	2	no	—
461	#10625329	—	2	2	no	—
462	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
463	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
464	D₃₇₆	—	2	4	no	—
465	D₃₇₆	—	2	4	no	—
466	C₂³×C₄₇	—	2	1	no	—
467	C₂³×C₄₇	—	2	1	no	—
468	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
469	C₂²×D₄₇	—	2	2	no	—
470	C₂²×D₄₇	—	2	8	no	—
471	C₂²×D₄₇	—	2	4	no	—
472	C₂²×D₄₇	—	2	2	no	—
473	C₂²×D₄₇	—	4	2	no	—
474	C₂²×D₄₇	—	8	2	no	—
475	C₂²×D₄₇	—	8	2	no	—
476	C₂²×D₄₇	—	8	1	no	—
477	C₂²×D₄₇	—	8	1	no	—
478	C₂²×D₄₇	—	8	1	no	—
479	C₂²×D₄₇	—	8	1	no	—
480	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
481	Q₈×C₄₇	—	2	1	no	—
482	Q₈×C₄₇	—	2	1	no	—
483	Q₈×C₄₇	—	2	1	no	—
484	Q₈×C₄₇	C₂×#41	1	2	yes	—
485	D₄×C₄₇	—	2	4	no	—
486	D₄×C₄₇	—	2	1	no	—
487	D₄×C₄₇	—	2	1	no	—
488	D₄×C₄₇	—	2	1	no	—
489	D₄×C₄₇	—	4	2	no	—
490	D₄×C₄₇	C₂×#41	1	2	yes	—
491	C₂×C₄×C₄₇	—	2	1	no	—
492	C₂×C₄×C₄₇	—	2	4	no	—
493	C₂×C₄×C₄₇	—	2	2	no	—
494	C₂×C₄×C₄₇	—	2	1	no	—
495	C₂×C₄×C₄₇	—	2	1	no	—
496	C₂×C₄×C₄₇	—	2	1	no	—
497	C₂×C₄×C₄₇	—	2	1	no	—
498	C₂×C₄×C₄₇	—	2	1	no	—
499	C₂×C₄×C₄₇	—	4	1	no	—
500	C₂×C₄×C₄₇	—	4	2	no	—
501	C₂×C₄×C₄₇	—	4	2	no	—
502	C₂×C₄×C₄₇	—	4	2	no	—
503	C₂×C₄×C₄₇	—	8	1	no	—
504	C₂×C₄×C₄₇	—	8	1	no	—
505	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
511	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
512	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
513	C₂²⋊D₄₇	—	2	8	no	—
514	C₂²⋊D₄₇	—	2	4	no	—
515	C₂²⋊D₄₇	—	8	2	no	—
516	C₂²⋊D₄₇	—	8	2	no	—
517	C₂²⋊D₄₇	—	8	2	no	—
518	C₂×Dic₄₇	—	2	2	no	—
519	C₂×Dic₄₇	—	2	2	no	—
520	C₂×Dic₄₇	—	8	2	no	—
521	C₂×Dic₄₇	—	8	1	no	—
522	C₂×Dic₄₇	—	8	1	no	—
523	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
524	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
525	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
526	D₁₈₈	—	2	8	no	—
527	D₁₈₈	—	2	2	no	—
528	D₁₈₈	—	2	4	no	—
529	D₁₈₈	—	2	2	no	—
530	D₁₈₈	—	2	2	no	—
531	D₁₈₈	—	2	2	no	—
532	D₁₈₈	—	4	2	no	—
533	D₁₈₈	—	8	2	no	—
534	D₁₈₈	—	8	2	no	—
535	D₁₈₈	C₂×#41	1	4	yes	—
536	C₄×D₄₇	—	2	8	no	—
537	C₄×D₄₇	—	2	4	no	—
538	C₄×D₄₇	—	2	2	no	—
539	C₄×D₄₇	—	2	2	no	—
540	C₄×D₄₇	—	4	2	no	—
541	C₄×D₄₇	—	4	4	no	—
542	C₄×D₄₇	—	4	4	no	—
543	C₄×D₄₇	—	8	2	no	—
544	C₄×D₄₇	—	8	2	no	—
545	C₄×D₄₇	—	8	2	no	—
546	C₄×D₄₇	—	8	2	no	—
547	C₄×D₄₇	—	8	2	no	—
548	Dic₉₄	—	2	2	no	—
549	Dic₉₄	—	8	2	no	—
550	C₈×C₄₇	—	2	1	no	—
551	C₈×C₄₇	—	2	1	no	—
552	C₈×C₄₇	—	2	1	no	—
553	C₈×C₄₇	—	2	1	no	—
554	C₄₇⋊C₈	—	2	2	no	—
555	C₄₇⋊C₈	—	2	2	no	—
556	#60570	—	47	1	no	maximal, Sylow
557	C₂²×C₄₇	—	2	1	no	—
558	C₂²×C₄₇	—	2	1	no	—
559	C₂²×C₄₇	—	2	2	no	—
560	C₂²×C₄₇	—	4	1	no	—
561	C₂²×C₄₇	—	4	1	no	—
562	C₂²×C₄₇	—	4	1	no	—
563	C₂²×C₄₇	—	4	1	no	—
564	C₂²×C₄₇	—	4	1	no	—
565	C₂²×C₄₇	#525	1	2	yes	—
566	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
567	C₂×D₄₇	—	2	2	no	—
568	C₂×D₄₇	—	2	2	no	—
569	C₂×D₄₇	—	2	4	no	—
570	C₂×D₄₇	—	2	2	no	—
571	C₂×D₄₇	—	4	2	no	—
572	C₂×D₄₇	—	4	2	no	—
573	C₂×D₄₇	—	4	2	no	—
574	C₂×D₄₇	—	4	2	no	—
575	C₂×D₄₇	—	4	2	no	—
576	C₂×D₄₇	—	8	4	no	—
577	C₂×D₄₇	—	8	8	no	—
578	C₂×D₄₇	—	8	4	no	—
579	C₄×C₄₇	—	2	1	no	—
580	C₄×C₄₇	—	2	1	no	—
581	C₄×C₄₇	—	2	2	no	—
582	C₄×C₄₇	—	2	1	no	—
583	C₄×C₄₇	—	4	1	no	—
584	C₄×C₄₇	—	4	1	no	—
585	C₄×C₄₇	—	4	1	no	—
586	C₄×C₄₇	—	4	1	no	—
587	C₄×C₄₇	—	4	1	no	—
588	C₄×C₄₇	#525	1	2	yes	—
589	C₄×C₄₇	#576	1	2	yes	—
590	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
591	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
592	Dic₄₇	—	2	2	no	—
593	Dic₄₇	—	2	2	no	—
594	Dic₄₇	—	2	2	no	—
595	Dic₄₇	—	4	2	no	—
596	Dic₄₇	—	4	2	no	—
597	#3460	—	47	1	no	—
598	C₄×H(5,𝔽₂)	—	47	1	no	—
599	#3124	—	47	2	no	—
600	#3122	—	47	2	no	—
601	#3119	—	47	2	no	—
602	#3118	—	47	2	no	—
603	#3106	—	47	2	no	—
604	#3105	—	47	2	no	—
605	#3102	—	47	2	no	—
606	#3100	—	47	2	no	—
607	#3098	—	47	1	no	—
608	#3096	—	47	1	no	—
609	#3083	—	47	1	no	—
610	#3081	—	47	1	no	—
611	#3045	—	47	1	no	—
612	#3041	—	47	1	no	—
613	#3012	—	47	1	no	—
614	#3008	—	47	1	no	—
615	C₄×AGL(1,ℤ/8)	—	47	1	no	—
616	C₄×AGL(1,ℤ/8)	—	47	1	no	—
617	C₄×#135	D₄₇	1	1	yes	characteristic, complemented
618	C₂×C₄×D₈	—	47	1	no	—
619	#2922	—	47	1	no	—
620	C₂×C₄₇	—	2	2	no	—
621	C₂×C₄₇	—	4	2	no	—
622	C₂×C₄₇	—	8	1	no	—
623	C₂×C₄₇	C₂×#525	1	1	yes	characteristic
624	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
625	C₂×C₄₇	#3584	1	1	yes	characteristic
626	D₄₇	—	4	2	no	—
627	D₄₇	—	4	4	no	—
628	D₄₇	—	8	2	no	—
629	C₂×H(5,𝔽₂)	—	47	1	no	—
630	C₂×AGL(1,ℤ/8)	—	47	1	no	—
631	C₂×AGL(1,ℤ/8)	—	47	1	no	—
632	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
633	C₂²×D₈	—	47	1	no	—
634	#544	—	47	1	no	—
635	#542	—	47	2	no	—
636	#542	—	94	1	no	—
637	#540	—	47	2	no	—
638	#540	—	94	1	no	—
639	#538	—	94	2	no	—
640	#537	—	47	1	no	—
641	#535	—	47	1	no	—
642	#535	—	47	1	no	—
643	#532	—	47	2	no	—
644	#532	—	94	1	no	—
645	#529	—	47	2	no	—
646	#529	—	94	1	no	—
647	#525	—	94	2	no	—
648	#520	—	47	1	no	—
649	#520	—	47	1	no	—
650	#520	—	47	2	no	—
651	#520	—	94	1	no	—
652	#518	—	47	2	no	—
653	#518	—	47	1	no	—
654	#518	—	94	1	no	—
655	#518	—	94	2	no	—
656	C₄×#41	—	47	1	no	—
657	C₄×#41	—	47	2	no	—
658	C₄×#41	—	94	1	no	—
659	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
660	C₄×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
661	C₂×C₄×D₄	—	47	2	no	—
662	C₂×C₄×D₄	—	47	1	no	—
663	C₂×C₄×D₄	—	47	1	no	—
664	C₂×C₄×D₄	—	94	1	no	—
665	C₂×C₄×D₄	—	94	2	no	—
666	#485	—	47	2	no	—
667	#484	—	47	2	no	—
668	#482	—	47	2	no	—
669	#482	—	47	2	no	—
670	#482	—	47	2	no	—
671	#481	—	47	2	no	—
672	#480	—	47	2	no	—
673	#480	—	47	2	no	—
674	#479	—	47	2	no	—
675	#478	—	47	2	no	—
676	#478	—	47	2	no	—
677	#478	—	47	2	no	—
678	#477	—	47	2	no	—
679	#476	—	47	2	no	—
680	#474	—	47	2	no	—
681	#474	—	47	2	no	—
682	#464	—	47	2	no	—
683	#463	—	47	2	no	—
684	#463	—	47	2	no	—
685	#463	—	47	2	no	—
686	#460	—	47	2	no	—
687	#459	—	47	2	no	—
688	#459	—	47	2	no	—
689	#459	—	47	2	no	—
690	#452	—	47	2	no	—
691	#450	—	47	2	no	—
692	#449	—	47	2	no	—
693	#449	—	47	2	no	—
694	#449	—	47	2	no	—
695	#447	—	47	2	no	—
696	#447	—	47	2	no	—
697	#447	—	47	2	no	—
698	#442	—	47	2	no	—
699	#442	—	47	2	no	—
700	#440	—	47	2	no	—
701	#440	—	47	2	no	—
702	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
703	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
704	C₄×SD₁₆	—	47	2	no	—
705	C₄×SD₁₆	—	47	2	no	—
706	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
707	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
708	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
709	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
710	C₄×D₈	—	47	2	no	—
711	C₄×D₈	—	47	2	no	—
712	C₄×D₈	—	47	2	no	—
713	C₄×D₈	—	47	2	no	—
714	C₄×D₈	—	47	2	no	—
715	C₄×D₈	—	47	2	no	—
716	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
717	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
718	#433	—	47	2	no	—
719	#433	—	47	2	no	—
720	#431	—	47	2	no	—
721	#431	—	47	2	no	—
722	#428	—	47	1	no	—
723	#428	—	47	1	no	—
724	#427	C₂×D₄₇	1	1	yes	characteristic, complemented
725	C₂×#107	—	47	1	no	—
726	#424	—	47	1	no	—
727	#424	—	47	1	no	—
728	#418	—	47	1	no	—
729	#418	—	47	1	no	—
730	#417	—	47	1	no	—
731	#417	—	47	1	no	—
732	#416	C₂×D₄₇	1	1	yes	characteristic
733	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
734	C₂×#102	—	47	1	no	—
735	C₂×#102	—	47	1	no	—
736	#408	—	47	1	no	—
737	#408	—	47	1	no	—
738	C₄×M₁₆	—	47	1	no	—
739	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
740	C₄₇	#60570	1	1	yes	characteristic, complemented, Sylow
741	H(5,𝔽₂)	—	94	4	no	—
742	H(5,𝔽₂)	—	94	4	no	—
743	C₂×#41	—	47	1	no	—
744	C₂×#41	—	47	2	no	—
745	C₂×#41	—	94	2	no	—
746	C₂×#41	—	94	1	no	—
747	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
748	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
749	C₂²×D₄	—	47	2	no	—
750	C₂²×D₄	—	47	1	no	—
751	C₂²×D₄	—	47	1	no	—
752	C₂²×D₄	—	94	1	no	—
753	C₂²×D₄	—	94	2	no	—
754	C₂³×C₄	—	94	2	no	—
755	C₂³×C₄	—	94	1	no	—
756	C₂³×C₄	—	94	1	no	—
757	AGL(1,ℤ/8)	—	94	4	no	—
758	AGL(1,ℤ/8)	—	94	4	no	—
759	#135	—	2	4	no	—
760	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
761	C₂×SD₁₆	—	47	2	no	—
762	C₂×SD₁₆	—	47	2	no	—
763	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
764	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
765	C₂×D₈	—	47	2	no	—
766	C₂×D₈	—	47	2	no	—
767	C₂×D₈	—	47	2	no	—
768	C₂×D₈	—	47	2	no	—
769	C₂×D₈	—	94	4	no	—
770	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
771	C₂×M₁₆	—	47	1	no	—
772	C₂×M₁₆	—	47	1	no	—
773	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
774	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
775	C₄⋊Q₈	—	47	2	no	—
776	C₄⋊Q₈	—	94	1	no	—
777	#127	—	47	2	no	—
778	#127	—	94	1	no	—
779	#126	—	94	2	no	—
780	#126	—	94	2	no	—
781	#125	—	47	2	no	—
782	#125	—	94	1	no	—
783	#124	—	47	2	no	—
784	#124	—	94	2	no	—
785	#124	—	94	1	no	—
786	#124	—	94	2	no	—
787	#123	—	94	2	no	—
788	#123	—	94	2	no	—
789	#123	—	94	2	no	—
790	#123	—	94	2	no	—
791	C₂²⋊Q₈	—	47	2	no	—
792	C₂²⋊Q₈	—	94	2	no	—
793	C₂²⋊Q₈	—	94	2	no	—
794	C₂²⋊Q₈	—	94	1	no	—
795	#121	—	47	2	no	—
796	#121	—	47	2	no	—
797	#121	—	47	2	no	—
798	#121	—	94	2	no	—
799	#121	—	94	2	no	—
800	#121	—	94	2	no	—
801	#121	—	94	1	no	—
802	#121	—	94	1	no	—
803	#121	—	94	1	no	—
804	#121	—	94	2	no	—
805	#120	—	94	2	no	—
806	#120	—	94	2	no	—
807	C₄×Q₈	—	47	1	no	—
808	C₄×Q₈	—	47	1	no	—
809	C₄×Q₈	—	47	2	no	—
810	C₄×Q₈	—	94	1	no	—
811	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
812	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
813	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
814	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	47	2	no	—
820	C₄×D₄	—	47	2	no	—
821	C₄×D₄	—	47	2	no	—
822	C₄×D₄	—	47	2	no	—
823	C₄×D₄	—	47	2	no	—
824	C₄×D₄	—	47	1	no	—
825	C₄×D₄	—	47	1	no	—
826	C₄×D₄	—	47	2	no	—
827	C₄×D₄	—	47	2	no	—
828	C₄×D₄	—	47	2	no	—
829	C₄×D₄	—	47	2	no	—
830	C₄×D₄	—	94	2	no	—
831	C₄×D₄	—	94	1	no	—
832	C₄×D₄	—	94	1	no	—
833	C₄×D₄	—	94	2	no	—
834	C₄×D₄	—	94	2	no	—
835	C₄×D₄	—	94	1	no	—
836	C₄×D₄	—	94	2	no	—
837	C₄×D₄	—	94	2	no	—
838	C₄×D₄	—	94	2	no	—
839	C₄×D₄	—	94	2	no	—
840	C₄×D₄	—	94	2	no	—
841	C₄×D₄	—	94	2	no	—
842	C₄×D₄	—	94	2	no	—
843	C₄×D₄	—	94	2	no	—
844	C₄×D₄	—	94	2	no	—
845	C₄×D₄	—	94	1	no	—
846	C₄×D₄	—	94	1	no	—
847	C₄×D₄	—	94	1	no	—
848	C₄×D₄	—	94	1	no	—
849	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
850	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
851	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
852	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
853	#117	—	2	1	no	—
854	#117	—	2	1	no	—
855	#117	—	47	1	no	—
856	#117	—	47	2	no	—
857	#117	—	47	2	no	—
858	#117	—	94	2	no	—
859	#117	—	94	2	no	—
860	#117	—	94	2	no	—
861	#117	—	94	1	no	—
862	#117	C₂²×D₄₇	1	1	yes	characteristic
863	#117	C₂²×D₄₇	1	1	yes	characteristic
864	C₂×C₄⋊C₄	—	47	1	no	—
865	C₂×C₄⋊C₄	—	47	1	no	—
866	C₂×C₄⋊C₄	—	47	2	no	—
867	C₂×C₄⋊C₄	—	94	2	no	—
868	C₂×C₄⋊C₄	—	94	1	no	—
869	C₂×C₂²⋊C₄	—	94	2	no	—
870	C₂×C₂²⋊C₄	—	94	2	no	—
871	C₂×C₂²⋊C₄	—	94	2	no	—
872	C₂×C₂²⋊C₄	—	94	2	no	—
873	C₂×C₂²⋊C₄	—	94	1	no	—
874	C₂×C₂²⋊C₄	—	94	1	no	—
875	C₂×C₄²	—	2	1	no	—
876	C₂×C₄²	—	2	1	no	—
877	C₂×C₄²	—	47	2	no	—
878	C₂×C₄²	—	94	2	no	—
879	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
880	#107	—	47	2	no	—
881	#107	—	47	2	no	—
882	#107	—	47	2	no	—
883	#107	—	47	2	no	—
884	#107	C₂²×D₄₇	1	1	yes	characteristic
885	#107	C₂²×D₄₇	1	1	yes	characteristic
886	#106	—	47	2	no	—
887	#106	—	47	2	no	—
888	#106	C₂²×D₄₇	1	1	yes	characteristic
889	#106	C₂²×D₄₇	1	1	yes	characteristic
890	C₄⋊C₈	—	47	2	no	—
891	C₄⋊C₈	—	47	2	no	—
892	C₄⋊C₈	—	47	2	no	—
893	C₄⋊C₈	—	47	2	no	—
894	#103	—	47	2	no	—
895	#103	—	47	2	no	—
896	#103	C₂²×D₄₇	1	1	yes	characteristic
897	#103	C₂²×D₄₇	1	1	yes	characteristic
898	#103	C₂²×D₄₇	1	1	yes	characteristic
899	#103	C₂²×D₄₇	1	1	yes	characteristic
900	#102	—	47	2	no	—
901	#102	—	47	2	no	—
902	#102	—	47	2	no	—
903	#102	—	47	2	no	—
904	#102	—	47	2	no	—
905	#102	—	47	2	no	—
906	#102	—	47	2	no	—
907	#102	—	47	2	no	—
908	#102	—	47	2	no	—
909	#102	—	47	2	no	—
910	#102	C₂²×D₄₇	1	1	yes	characteristic
911	#102	C₂²×D₄₇	1	1	yes	characteristic
912	#102	C₂²×D₄₇	1	1	yes	characteristic
913	#102	C₂²×D₄₇	1	1	yes	characteristic
914	C₂²⋊C₈	—	47	2	no	—
915	C₂²⋊C₈	—	47	2	no	—
916	C₂²⋊C₈	—	47	2	no	—
917	C₂²⋊C₈	—	47	2	no	—
918	#97	—	47	2	no	—
919	C₄×C₈	—	47	2	no	—
920	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
921	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
922	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
923	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
924	C₂⁴	—	94	2	no	—
925	C₂⁴	—	94	1	no	—
926	C₂⁴	—	94	1	no	—
927	#41	—	2	2	no	—
928	#41	—	2	2	no	—
929	#41	—	2	2	no	—
930	#41	—	94	8	no	—
931	#41	—	94	4	no	—
932	#41	—	94	4	no	—
933	#41	—	94	2	no	—
934	#41	—	94	2	no	—
935	#41	—	376	4	no	—
936	#41	#10625350	1	4	yes	complemented
937	C₂×Q₈	—	47	1	no	—
938	C₂×Q₈	—	94	2	no	—
939	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
940	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	47	2	no	—
944	C₂×D₄	—	47	1	no	—
945	C₂×D₄	—	47	4	no	—
946	C₂×D₄	—	47	2	no	—
947	C₂×D₄	—	47	2	no	—
948	C₂×D₄	—	94	2	no	—
949	C₂×D₄	—	94	8	no	—
950	C₂×D₄	—	94	2	no	—
951	C₂×D₄	—	94	2	no	—
952	C₂×D₄	—	94	2	no	—
953	C₂×D₄	—	94	2	no	—
954	C₂×D₄	—	94	2	no	—
955	C₂×D₄	—	94	4	no	—
956	C₂×D₄	—	94	16	no	—
957	C₂×D₄	—	94	4	no	—
958	C₂×D₄	—	94	2	no	—
959	C₂×D₄	—	94	1	no	—
960	C₂×D₄	—	94	1	no	—
961	C₂×D₄	—	94	2	no	—
962	C₂×D₄	—	94	2	no	—
963	C₂×D₄	—	94	2	no	—
964	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
965	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	47	2	no	—
973	C₂²×C₄	—	47	2	no	—
974	C₂²×C₄	—	47	2	no	—
975	C₂²×C₄	—	94	2	no	—
976	C₂²×C₄	—	94	2	no	—
977	C₂²×C₄	—	94	2	no	—
978	C₂²×C₄	—	94	2	no	—
979	C₂²×C₄	—	94	2	no	—
980	C₂²×C₄	—	94	1	no	—
981	C₂²×C₄	—	94	1	no	—
982	C₂²×C₄	—	94	2	no	—
983	C₂²×C₄	—	94	2	no	—
984	C₂²×C₄	—	94	2	no	—
985	C₂²×C₄	—	94	2	no	—
986	C₂²×C₄	—	376	2	no	—
987	C₂²×C₄	—	376	2	no	—
988	C₂²×C₄	—	376	4	no	—
989	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
990	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
992	Q₁₆	—	2	2	no	—
993	SD₁₆	—	2	2	no	—
994	SD₁₆	—	2	2	no	—
995	SD₁₆	—	94	4	no	—
996	SD₁₆	—	94	4	no	—
997	D₈	—	2	2	no	—
998	D₈	—	94	4	no	—
999	D₈	—	94	4	no	—
1000	D₈	—	94	4	no	—
1001	D₈	—	94	4	no	—
1002	M₁₆	—	94	2	no	—
1003	M₁₆	—	94	2	no	—
1004	C₂×C₈	—	2	2	no	—
1005	C₂×C₈	—	2	2	no	—
1006	C₂×C₈	—	47	2	no	—
1007	C₂×C₈	—	47	2	no	—
1008	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1009	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1010	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1011	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	47	2	no	—
1017	C₄⋊C₄	—	47	2	no	—
1018	C₄⋊C₄	—	47	1	no	—
1019	C₄⋊C₄	—	47	1	no	—
1020	C₄⋊C₄	—	47	2	no	—
1021	C₄⋊C₄	—	47	2	no	—
1022	C₄⋊C₄	—	94	2	no	—
1023	C₄⋊C₄	—	94	2	no	—
1024	C₄⋊C₄	—	94	2	no	—
1025	C₄⋊C₄	—	94	2	no	—
1026	C₄⋊C₄	—	94	2	no	—
1027	C₄⋊C₄	—	94	2	no	—
1028	C₄⋊C₄	—	94	1	no	—
1029	C₄⋊C₄	—	94	1	no	—
1030	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1031	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1033	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	47	2	no	—
1041	C₂²⋊C₄	—	47	2	no	—
1042	C₂²⋊C₄	—	47	2	no	—
1043	C₂²⋊C₄	—	94	2	no	—
1044	C₂²⋊C₄	—	94	2	no	—
1045	C₂²⋊C₄	—	94	2	no	—
1046	C₂²⋊C₄	—	94	2	no	—
1047	C₂²⋊C₄	—	94	2	no	—
1048	C₂²⋊C₄	—	94	2	no	—
1049	C₂²⋊C₄	—	94	2	no	—
1050	C₂²⋊C₄	—	94	2	no	—
1051	C₂²⋊C₄	—	94	2	no	—
1052	C₂²⋊C₄	—	94	2	no	—
1053	C₂²⋊C₄	—	94	2	no	—
1054	C₂²⋊C₄	—	94	2	no	—
1055	C₂²⋊C₄	—	94	2	no	—
1056	C₂²⋊C₄	—	94	2	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	47	2	no	—
1064	C₄²	—	47	2	no	—
1065	C₄²	—	47	2	no	—
1066	C₄²	—	94	2	no	—
1067	C₄²	—	94	2	no	—
1068	C₄²	D₄×D₄₇	1	1	yes	characteristic
1069	C₄²	D₄×D₄₇	1	1	yes	characteristic
1070	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1071	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	47	2	no	—
1075	C₂³	—	94	8	no	—
1076	C₂³	—	94	4	no	—
1077	C₂³	—	94	2	no	—
1078	C₂³	—	94	2	no	—
1079	C₂³	—	376	1	no	—
1080	C₂³	—	376	1	no	—
1081	C₂³	—	376	1	no	—
1082	C₂³	—	376	1	no	—
1083	C₂³	—	376	2	no	—
1084	C₂³	—	376	2	no	—
1085	C₂³	—	188	2	no	—
1086	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1087	Q₈	—	2	1	no	—
1088	Q₈	—	2	1	no	—
1089	Q₈	—	2	1	no	—
1090	Q₈	—	94	2	no	—
1091	Q₈	—	376	2	no	—
1092	Q₈	C₂×#10625350	1	2	yes	—
1093	D₄	—	2	4	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	1	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	47	4	no	—
1099	D₄	—	94	8	no	—
1100	D₄	—	94	8	no	—
1101	D₄	—	94	4	no	—
1102	D₄	—	94	4	no	—
1103	D₄	—	94	2	no	—
1104	D₄	—	94	2	no	—
1105	D₄	—	94	2	no	—
1106	D₄	—	94	2	no	—
1107	D₄	—	376	2	no	—
1108	D₄	—	376	2	no	—
1109	D₄	—	376	2	no	—
1110	D₄	—	376	2	no	—
1111	D₄	—	376	2	no	—
1112	D₄	—	188	2	no	—
1113	D₄	C₂×#10625350	1	2	yes	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	2	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	8	1	no	—
1127	C₂×C₄	—	8	1	no	—
1128	C₂×C₄	—	47	2	no	—
1129	C₂×C₄	—	47	2	no	—
1130	C₂×C₄	—	47	2	no	—
1131	C₂×C₄	—	94	8	no	—
1132	C₂×C₄	—	94	4	no	—
1133	C₂×C₄	—	94	2	no	—
1134	C₂×C₄	—	94	2	no	—
1135	C₂×C₄	—	94	2	no	—
1136	C₂×C₄	—	94	2	no	—
1137	C₂×C₄	—	376	2	no	—
1138	C₂×C₄	—	376	2	no	—
1139	C₂×C₄	—	376	2	no	—
1140	C₂×C₄	—	376	2	no	—
1141	C₂×C₄	—	376	2	no	—
1142	C₂×C₄	—	376	2	no	—
1143	C₂×C₄	—	376	1	no	—
1144	C₂×C₄	—	376	1	no	—
1145	C₂×C₄	—	188	2	no	—
1146	C₂×C₄	—	188	4	no	—
1147	C₂×C₄	—	188	4	no	—
1148	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1149	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1150	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1151	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1152	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1153	C₂×C₄	#41×D₄₇	1	2	yes	—
1154	C₂×C₄	C₂×#10625350	1	2	yes	—
1155	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1156	C₈	—	2	1	no	—
1157	C₈	—	2	1	no	—
1158	C₈	—	2	1	no	—
1159	C₈	—	2	1	no	—
1160	C₈	—	94	2	no	—
1161	C₈	—	94	2	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	1	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	94	2	no	—
1171	C₂²	—	94	2	no	—
1172	C₂²	—	94	4	no	—
1173	C₂²	—	94	2	no	—
1174	C₂²	—	376	4	no	—
1175	C₂²	—	376	4	no	—
1176	C₂²	—	376	8	no	—
1177	C₂²	—	188	2	no	—
1178	C₂²	—	188	2	no	—
1179	C₂²	—	188	2	no	—
1180	C₂²	—	188	2	no	—
1181	C₂²	—	188	2	no	—
1182	C₂²	#15689632	1	2	yes	—
1183	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1184	C₄	—	2	1	no	—
1185	C₄	—	2	1	no	—
1186	C₄	—	2	1	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	94	2	no	—
1194	C₄	—	94	2	no	—
1195	C₄	—	94	2	no	—
1196	C₄	—	188	2	no	—
1197	C₄	—	188	2	no	—
1198	C₄	#15689632	1	2	yes	—
1199	C₄	#15689925	1	2	yes	—
1200	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1201	C₄	C₂²×#10625350	1	1	yes	characteristic
1202	C₂	—	2	2	no	—
1203	C₂	—	4	2	no	—
1204	C₂	—	8	1	no	—
1205	C₂	—	376	2	no	—
1206	C₂	—	188	2	no	—
1207	C₂	—	188	4	no	—
1208	C₂	C₂×#15689632	1	1	yes	characteristic
1209	C₂	C₂×#15689925	1	1	yes	characteristic
1210	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄×#135×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₄×#135	D₄₇
hypocenter	C₄₇	#60570
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #20256804	C₂	semidirect
2. C₄×#13094070	C₂	semidirect
3. #20253656	C₂	semidirect
4. #20253628	C₂	semidirect
5. #20253593	C₂	semidirect
6. #20253578	C₂	semidirect
7. #20253446	C₂	semidirect
8. #20253439	C₂	semidirect
9. #20253412	C₂	semidirect
10. #20253386	C₂	semidirect
11. #20253364	C₂	semidirect
12. #20253349	C₂	semidirect
13. #20253237	C₂	semidirect
14. #20253222	C₂	semidirect
15. #20252925	C₂	semidirect
16. #20252894	C₂	semidirect
17. #20252688	C₂	semidirect
18. #20252659	C₂	semidirect
19. C₄×#13094049	C₂	semidirect
20. C₄×#13094049	C₂	semidirect
21. C₂×C₄×D₃₇₆	C₂	semidirect
22. #20252030	C₂	semidirect
23. C₄×#135×C₄₇	C₂	semidirect
28. #15689751	C₂²	semidirect
29. #15689745	C₂²	semidirect
32. #15689724	C₂²	semidirect
36. #15689687	C₂²	semidirect
38. #15689670	C₂²	semidirect
39. #15689660	C₂²	semidirect
43. #15689605	C₂²	semidirect
49. #15689595	C₂²	semidirect
50. C₄×#10625354	C₂²	semidirect
55. C₂×C₄×D₁₈₈	C₂²	semidirect
57. C₄×D₄×D₄₇	C₂²	semidirect
58. #15689463	C₂²	semidirect
59. #15689457	C₂²	semidirect
60. #15689450	C₂²	semidirect
61. #15689449	C₂²	semidirect
62. #15689445	C₂²	semidirect
63. #15689443	C₂²	semidirect
64. #15689438	C₂²	semidirect
65. #15689435	C₂²	semidirect
66. #15689432	C₂²	semidirect
67. #15689426	C₂²	semidirect
68. #15689422	C₂²	semidirect
69. #15689421	C₂²	semidirect
70. #15689416	C₂²	semidirect
71. #15689412	C₂²	semidirect
72. #15689402	C₂²	semidirect
73. #15689401	C₂²	semidirect
74. #15689347	C₂²	semidirect
75. #15689341	C₂²	semidirect
76. #15689341	C₂²	semidirect
77. #15689340	C₂²	semidirect
78. #15689321	C₂²	semidirect
79. #15689317	C₂²	semidirect
80. #15689317	C₂²	semidirect
81. #15689316	C₂²	semidirect
82. #15689284	C₂²	semidirect
83. #15689272	C₂²	semidirect
86. #15689267	C₂²	semidirect
89. #15689255	C₂²	semidirect
90. #15689233	C₂²	semidirect
91. #15689233	C₂²	semidirect
92. #15689221	C₂²	semidirect
93. #15689221	C₂²	semidirect
94. C₄×#10625336	C₂²	semidirect
95. C₄×#10625336	C₂²	semidirect
96. C₄×D₃₇₆	C₂²	semidirect
97. C₄×D₃₇₆	C₂²	semidirect
98. C₄×D₃₇₆	C₂²	semidirect
99. C₄×D₃₇₆	C₂²	semidirect
100. C₄×#10625334	C₂²	semidirect
101. C₄×#10625334	C₂²	semidirect
102. #15689182	C₂²	semidirect
103. #15689182	C₂²	semidirect
104. #15689174	C₂²	semidirect
105. #15689174	C₂²	semidirect
106. #15689166	C₂²	semidirect
107. #15689166	C₂²	semidirect
108. C₂×#13093958	C₂²	semidirect
109. #15689149	C₂²	semidirect
110. #15689149	C₂²	semidirect
112. #15689127	C₂²	semidirect
114. #15689124	C₂²	semidirect
116. C₂×#13093946	C₂²	semidirect
119. C₄×#10625329	C₂²	semidirect
122. C₄×#41×C₄₇	C₂²	semidirect
123. C₄×Q₁₆×C₄₇	C₂²	semidirect
124. C₄×Q₁₆×C₄₇	C₂²	semidirect
125. C₄×SD₁₆×C₄₇	C₂²	semidirect
126. C₄×SD₁₆×C₄₇	C₂²	semidirect
127. C₄×SD₁₆×C₄₇	C₂²	semidirect
128. C₄×SD₁₆×C₄₇	C₂²	semidirect
129. C₄×D₈×C₄₇	C₂²	semidirect
130. C₄×D₈×C₄₇	C₂²	semidirect
131. C₄₇×#427	C₂²	semidirect
133. C₄₇×#416	C₂²	semidirect
134. C₂×C₄×C₈×C₄₇	C₂²	semidirect
324. #41×C₄₇	#41	semidirect
367. C₂×D₁₈₈	#41	semidirect
617. C₄×#135	D₄₇	semidirect
660. C₄×#41	C₂×D₄₇	semidirect
702. C₄×Q₁₆	C₂×D₄₇	semidirect
703. C₄×Q₁₆	C₂×D₄₇	semidirect
706. C₄×SD₁₆	C₂×D₄₇	semidirect
707. C₄×SD₁₆	C₂×D₄₇	semidirect
708. C₄×SD₁₆	C₂×D₄₇	semidirect
709. C₄×SD₁₆	C₂×D₄₇	semidirect
716. C₄×D₈	C₂×D₄₇	semidirect
717. C₄×D₈	C₂×D₄₇	semidirect
724. #427	C₂×D₄₇	semidirect
733. #416	C₂×D₄₇	semidirect
739. C₂×C₄×C₈	C₂×D₄₇	semidirect
740. C₄₇	#60570	semidirect
936. #41	#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20256804	2
C₄×#13094070	2
#20253656	2
#20253628	2
#20253593	2
#20253578	2
#20253446	2
#20253439	2
#20253412	2
#20253386	2
#20253364	2
#20253349	2
#20253237	2
#20253222	2
#20252925	2
#20252894	2
#20252688	2
#20252659	2
C₄×#13094049	2
C₂×C₄×D₃₇₆	2
#20252030	2
C₄×#135×C₄₇	2
#60570	47