Subgroups — #27080624

Order 12032.

2604 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20258157	C₂	1	1	yes	maximal, characteristic
2	#20258101	C₂	1	2	yes	maximal, complemented
3	#20252306	C₂	1	1	yes	maximal, characteristic, complemented
4	#20252302	C₂	1	4	yes	maximal, complemented
5	#20252295	C₂	1	2	yes	maximal, complemented
6	#20252293	C₂	1	4	yes	maximal, complemented
7	#20252287	C₂	1	2	yes	maximal, complemented
8	#20252286	C₂	1	4	yes	maximal, complemented
9	C₂×#15689245	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689244	C₂	1	1	yes	maximal, characteristic, complemented
11	#444×D₄₇	C₂	1	4	yes	maximal, complemented
12	#20251996	C₂	1	1	yes	maximal, characteristic, complemented
13	#20251934	C₂	1	2	yes	maximal, complemented
14	#20251815	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#2957	C₂	1	1	yes	maximal, characteristic, complemented
16	#15689959	C₂²	1	2	yes	—
17	#15689937	C₄	1	2	yes	complemented
18	#15689936	C₄	1	2	yes	complemented
19	#15689930	C₄	1	4	yes	complemented
20	#15689929	C₄	1	4	yes	complemented
21	#15689925	C₄	1	2	yes	complemented
22	#15689924	C₄	1	2	yes	complemented
23	#15689921	C₂²	1	2	yes	—
24	#15689920	C₂²	1	4	yes	—
25	C₂×#13094046	C₂²	1	1	yes	characteristic
26	#135×D₄₇	C₂²	1	4	yes	—
27	#15689889	—	2	4	no	—
28	#15689889	C₂²	1	2	yes	—
29	#15689889	C₂²	1	2	yes	complemented
30	#15689888	—	2	4	no	—
31	#15689888	C₂²	1	8	yes	complemented
32	C₂×#13094032	—	2	4	no	—
33	C₂×#13094032	C₂²	1	1	yes	characteristic
34	C₂×#13094032	C₂²	1	2	yes	complemented
35	C₂×#13094031	C₂²	1	2	yes	complemented
36	C₂×#13094030	C₂²	1	1	yes	characteristic
37	#131×D₄₇	—	2	4	no	—
38	#131×D₄₇	C₂²	1	8	yes	complemented
39	#15689591	C₂²	1	1	yes	characteristic
40	#15689246	C₂²	1	4	yes	complemented
41	#15689245	C₂²	1	2	yes	complemented
42	#15689245	C₂²	1	2	yes	complemented
43	#15689245	C₂²	1	2	yes	complemented
44	#15689245	C₂²	1	2	yes	complemented
45	#15689244	C₂²	1	2	yes	complemented
46	#15689244	C₂²	1	2	yes	complemented
47	#15689244	C₂²	1	2	yes	complemented
48	#15689244	C₂²	1	2	yes	complemented
49	#15689243	C₂²	1	8	yes	complemented
50	#15689242	C₂²	1	8	yes	complemented
51	#15689241	C₂²	1	4	yes	complemented
52	#15689238	C₂²	1	8	yes	complemented
53	#15689237	C₂²	1	8	yes	complemented
54	#15689171	C₂²	1	2	yes	complemented
55	#15689170	C₂²	1	4	yes	complemented
56	C₂×#13093960	C₂²	1	1	yes	characteristic, complemented
57	#108×D₄₇	C₂²	1	4	yes	complemented
58	#15689141	C₂²	1	2	yes	complemented
59	#15689138	C₂²	1	8	yes	complemented
60	C₂×#13093951	C₂²	1	2	yes	complemented
61	C₂×#13093950	C₂²	1	2	yes	complemented
62	#104×D₄₇	C₂²	1	8	yes	complemented
63	#15689080	C₂²	1	2	yes	complemented
64	#15689079	C₂²	1	1	yes	characteristic, complemented
65	#15689077	C₂²	1	2	yes	complemented
66	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
67	C₄×#10625324	C₂²	1	2	yes	complemented
68	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
69	#97×D₄₇	C₂²	1	2	yes	complemented
70	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
71	C₄₇×#568	C₂²	1	2	yes	complemented
72	C₄₇×#444	C₂²	1	4	yes	complemented
73	C₄₇×#443	C₂²	1	4	yes	complemented
74	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic, complemented
75	C₄₇×#421	C₂²	1	2	yes	complemented
76	C₄₇×#405	C₂²	1	1	yes	characteristic, complemented
77	#13094072	C₂×C₄	1	4	yes	—
78	#13094071	—	2	2	no	—
79	#13094071	C₂×C₄	1	4	yes	—
80	#13094070	—	2	2	no	—
81	#13094070	C₂×C₄	1	4	yes	—
82	#13094069	—	2	4	no	—
83	#13094069	C₂×C₄	1	4	yes	—
84	C₂×#10625350	—	2	4	no	—
85	C₂×#10625350	C₂³	1	2	yes	—
86	C₂×#10625350	C₂³	1	1	yes	characteristic
87	#41×D₄₇	—	2	4	no	—
88	#41×D₄₇	C₂³	1	8	yes	—
89	#13094056	C₂×C₄	1	8	yes	complemented
90	#13094055	C₂×C₄	1	4	yes	complemented
91	#13094054	C₂×C₄	1	4	yes	complemented
92	#13094053	C₂×C₄	1	8	yes	complemented
93	#13094051	C₂×C₄	1	8	yes	complemented
94	#13094050	C₂×C₄	1	4	yes	complemented
95	#13094049	C₂×C₄	1	4	yes	complemented
96	#13094048	C₂×C₄	1	8	yes	complemented
97	#13094047	C₂×C₄	1	4	yes	complemented
98	#13094046	C₂×C₄	1	2	yes	complemented
99	#13094046	C₂×C₄	1	2	yes	complemented
100	#13094046	C₂³	1	2	yes	—
101	#13094046	C₂³	1	2	yes	—
102	#13094045	C₂×C₄	1	8	yes	complemented
103	#13094044	C₂³	1	8	yes	—
104	#13094043	C₂×C₄	1	4	yes	complemented
105	C₂×Dic₁₈₈	C₂×C₄	1	1	yes	characteristic, complemented
106	Q₁₆×D₄₇	C₂×C₄	1	4	yes	complemented
107	C₂×#10625325	C₂×C₄	1	2	yes	complemented
108	SD₁₆×D₄₇	C₂×C₄	1	8	yes	complemented
109	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic, complemented
110	D₈×D₄₇	C₂×C₄	1	4	yes	complemented
111	#13094032	—	2	4	no	—
112	#13094032	—	2	4	no	—
113	#13094032	—	2	2	no	—
114	#13094032	—	2	2	no	—
115	#13094032	—	2	8	no	—
116	#13094032	—	2	8	no	—
117	#13094032	D₄	1	4	yes	—
118	#13094032	D₄	1	4	yes	—
119	#13094032	C₂³	1	4	yes	—
120	#13094032	C₂³	1	4	yes	—
121	#13094031	—	2	2	no	—
122	#13094031	—	2	2	no	—
123	#13094031	C₂³	1	4	yes	—
124	#13094031	C₂³	1	4	yes	—
125	#13094030	—	2	4	no	—
126	#13094030	—	2	8	no	—
127	#13094030	—	2	8	no	—
128	#13094030	C₂×C₄	1	2	yes	—
129	#13094030	C₂×C₄	1	2	yes	—
130	#13094030	C₂×C₄	1	2	yes	—
131	#13094030	C₂×C₄	1	2	yes	—
132	#13094030	C₂³	1	8	yes	—
133	C₂×#10625329	—	2	2	no	—
134	C₂×#10625329	C₂³	1	2	yes	—
135	C₂×#10625329	C₂³	1	1	yes	characteristic
136	C₂×#10625324	—	2	2	no	—
137	C₂×#10625324	—	2	8	no	—
138	C₂×#10625324	C₂³	1	2	yes	—
139	C₂×#10625324	C₂³	1	2	yes	—
140	M₁₆×D₄₇	—	2	4	no	—
141	M₁₆×D₄₇	—	2	8	no	—
142	M₁₆×D₄₇	—	2	8	no	—
143	M₁₆×D₄₇	C₂³	1	8	yes	—
144	C₂²×C₄₇⋊C₈	—	2	2	no	—
145	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
146	C₂×C₈×D₄₇	—	2	2	no	—
147	C₂×C₈×D₄₇	—	2	8	no	—
148	C₂×C₈×D₄₇	C₂³	1	2	yes	—
149	C₂×C₈×D₄₇	C₂³	1	2	yes	—
150	#13093989	—	2	1	no	—
151	#13093986	—	2	1	no	—
152	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
153	#13093981	C₂³	1	2	yes	—
154	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
155	C₄²×D₄₇	C₂³	1	2	yes	—
156	#13093960	C₂³	1	2	yes	—
157	#13093960	C₂³	1	2	yes	—
158	#13093959	C₂³	1	8	yes	—
159	#13093952	C₂³	1	8	yes	—
160	#13093951	C₂³	1	4	yes	—
161	#13093951	C₂³	1	4	yes	—
162	#13093950	C₂³	1	4	yes	—
163	#13093950	C₂³	1	4	yes	—
164	#13093935	C₂³	1	2	yes	—
165	#13093934	C₂³	1	2	yes	—
166	#13093934	C₂³	1	1	yes	characteristic
167	#13093934	C₂³	1	1	yes	characteristic
168	#13093934	C₂³	1	1	yes	characteristic
169	#13093934	C₂³	1	1	yes	characteristic
170	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
171	C₈×Dic₄₇	C₂³	1	2	yes	—
172	C₂×#41×C₄₇	C₂³	1	2	yes	—
173	#135×C₄₇	C₂×C₄	1	2	yes	complemented
174	#135×C₄₇	C₂×C₄	1	2	yes	complemented
175	#135×C₄₇	C₂³	1	2	yes	—
176	#135×C₄₇	C₂³	1	2	yes	—
177	C₂×Q₁₆×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
178	C₂×SD₁₆×C₄₇	C₂×C₄	1	2	yes	complemented
179	C₂×D₈×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
180	#131×C₄₇	—	2	4	no	—
181	#131×C₄₇	C₂³	1	8	yes	—
182	C₂×M₁₆×C₄₇	—	2	4	no	—
183	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
184	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
185	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
186	#117×C₄₇	C₂³	1	1	yes	characteristic
187	#108×C₄₇	C₂³	1	2	yes	—
188	#108×C₄₇	C₂³	1	2	yes	—
189	#104×C₄₇	C₂³	1	8	yes	—
190	#97×C₄₇	C₂³	1	2	yes	—
191	C₄×C₈×C₄₇	C₂³	1	2	yes	—
192	#41×C₄₇	—	2	2	no	—
193	#41×C₄₇	—	2	2	no	—
194	#41×C₄₇	C₂²×C₄	1	4	yes	—
195	#41×C₄₇	C₂⁴	1	4	yes	—
196	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
197	C₂×D₄×C₄₇	—	2	2	no	—
198	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
199	C₂²×C₄×C₄₇	—	2	2	no	—
200	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
201	C₂×C₂²⋊D₄₇	—	2	2	no	—
202	C₂×C₂²⋊D₄₇	—	2	8	no	—
203	C₂×C₂²⋊D₄₇	#41	1	2	yes	—
204	C₂²×Dic₄₇	—	2	1	no	—
205	#10625354	—	2	4	no	—
206	#10625354	C₂²×C₄	1	8	yes	—
207	Q₈×D₄₇	—	2	4	no	—
208	Q₈×D₄₇	C₂²×C₄	1	8	yes	—
209	#10625352	—	2	8	no	—
210	#10625352	—	2	8	no	—
211	#10625352	—	2	4	no	—
212	#10625352	C₂²×C₄	1	8	yes	—
213	D₄×D₄₇	—	2	8	no	—
214	D₄×D₄₇	—	2	8	no	—
215	D₄×D₄₇	—	2	4	no	—
216	D₄×D₄₇	C₂²×C₄	1	8	yes	—
217	#10625350	—	2	2	no	—
218	#10625350	—	2	2	no	—
219	#10625350	—	2	8	no	—
220	#10625350	—	2	4	no	—
221	#10625350	—	2	8	no	—
222	#10625350	—	2	4	no	—
223	#10625350	C₂²×C₄	1	2	yes	—
224	#10625350	C₂²×C₄	1	2	yes	—
225	#10625350	C₂²×C₄	1	4	yes	—
226	#10625350	C₂×D₄	1	2	yes	—
227	#10625350	C₂×D₄	1	2	yes	—
228	#10625350	C₂⁴	1	4	yes	—
229	C₂×D₁₈₈	—	2	4	no	—
230	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
231	C₂×D₁₈₈	#41	1	1	yes	characteristic
232	C₂×C₄×D₄₇	—	2	2	no	—
233	C₂×C₄×D₄₇	—	2	8	no	—
234	C₂×C₄×D₄₇	—	2	2	no	—
235	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
236	C₂×Dic₉₄	—	2	4	no	—
237	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
238	C₂×Dic₉₄	#41	1	1	yes	characteristic
239	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
240	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
241	SD₁₆×C₄₇	C₂²×C₄	1	4	yes	—
242	SD₁₆×C₄₇	C₂²×C₄	1	4	yes	—
243	D₈×C₄₇	C₂²×C₄	1	2	yes	—
244	D₈×C₄₇	C₂²×C₄	1	2	yes	—
245	M₁₆×C₄₇	—	2	2	no	—
246	M₁₆×C₄₇	—	2	8	no	—
247	M₁₆×C₄₇	C₂×D₄	1	2	yes	—
248	M₁₆×C₄₇	C₂×D₄	1	2	yes	—
249	M₁₆×C₄₇	C₂⁴	1	4	yes	—
250	C₂×C₈×C₄₇	—	2	2	no	—
251	C₂×C₈×C₄₇	—	2	8	no	—
252	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
253	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
254	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
255	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
256	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
257	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
258	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
259	C₄⋊C₄×C₄₇	—	2	1	no	—
260	C₂²⋊C₄×C₄₇	—	2	1	no	—
261	C₄²×C₄₇	C₂⁴	1	2	yes	—
262	#10625337	C₂²×C₄	1	8	yes	—
263	#10625336	C₂²×C₄	1	8	yes	—
264	#10625335	C₂²×C₄	1	8	yes	—
265	#10625334	C₂²×C₄	1	8	yes	—
266	(C₂×D₄₇)⋊C₄	—	2	2	no	—
267	Dic₄₇⋊C₄	—	2	2	no	—
268	C₄×Dic₄₇	—	2	1	no	—
269	C₄×Dic₄₇	—	2	2	no	—
270	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
271	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
272	#10625329	—	2	2	no	—
273	#10625329	—	2	4	no	—
274	#10625329	—	2	4	no	—
275	#10625329	C₂²×C₄	1	2	yes	—
276	#10625329	C₂²×C₄	1	2	yes	—
277	#10625329	C₂⁴	1	4	yes	—
278	C₂×C₄₇⋊C₈	—	2	2	no	—
279	C₂×C₄₇⋊C₈	—	2	4	no	—
280	C₂×C₄₇⋊C₈	—	2	4	no	—
281	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
282	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
283	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
284	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
285	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
286	Dic₁₈₈	C₂²×C₄	1	2	yes	—
287	Dic₁₈₈	C₂²×C₄	1	2	yes	—
288	D₃₇₆	C₂²×C₄	1	2	yes	—
289	D₃₇₆	C₂²×C₄	1	2	yes	—
290	#10625325	C₂²×C₄	1	4	yes	—
291	#10625325	C₂²×C₄	1	4	yes	—
292	#10625324	—	2	8	no	—
293	#10625324	—	2	8	no	—
294	#10625324	—	2	4	no	—
295	#10625324	—	2	4	no	—
296	#10625324	C₂²×C₄	1	4	yes	—
297	#10625324	C₂²×C₄	1	4	yes	—
298	#10625324	C₂×D₄	1	8	yes	—
299	C₈×D₄₇	—	2	8	no	—
300	C₈×D₄₇	—	2	8	no	—
301	C₈×D₄₇	—	2	4	no	—
302	C₈×D₄₇	—	2	4	no	—
303	C₈×D₄₇	C₂²×C₄	1	4	yes	—
304	C₈×D₄₇	C₂²×C₄	1	4	yes	—
305	C₈×D₄₇	C₂×D₄	1	8	yes	—
306	C₂³×C₄₇	—	2	2	no	—
307	C₂³×C₄₇	C₂×#41	1	1	yes	characteristic
308	C₂²×D₄₇	—	2	2	no	—
309	C₂²×D₄₇	—	2	8	no	—
310	C₂²×D₄₇	C₂×#41	1	2	yes	—
311	Q₈×C₄₇	—	2	2	no	—
312	Q₈×C₄₇	C₂³×C₄	1	4	yes	—
313	D₄×C₄₇	—	2	4	no	—
314	D₄×C₄₇	—	2	4	no	—
315	D₄×C₄₇	—	2	2	no	—
316	D₄×C₄₇	C₂³×C₄	1	4	yes	—
317	C₂×C₄×C₄₇	—	2	2	no	—
318	C₂×C₄×C₄₇	—	2	4	no	—
319	C₂×C₄×C₄₇	—	2	4	no	—
320	C₂×C₄×C₄₇	—	2	2	no	—
321	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
322	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
323	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
324	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
325	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
326	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
327	C₂²⋊D₄₇	—	2	4	no	—
328	C₂²⋊D₄₇	—	2	4	no	—
329	C₂²⋊D₄₇	—	2	8	no	—
330	C₂²⋊D₄₇	—	2	8	no	—
331	C₂²⋊D₄₇	C₄×D₄	1	4	yes	—
332	C₂²⋊D₄₇	C₄×D₄	1	4	yes	—
333	C₂×Dic₄₇	—	2	2	no	—
334	C₂×Dic₄₇	—	2	8	no	—
335	C₂×Dic₄₇	—	2	1	no	—
336	C₂×Dic₄₇	—	2	1	no	—
337	C₂×Dic₄₇	—	8	1	no	—
338	C₂×Dic₄₇	C₂×#41	1	2	yes	—
339	D₁₈₈	—	2	8	no	—
340	D₁₈₈	—	2	2	no	—
341	D₁₈₈	C₄×D₄	1	2	yes	—
342	D₁₈₈	C₄×D₄	1	2	yes	—
343	D₁₈₈	C₂³×C₄	1	4	yes	—
344	C₄×D₄₇	—	2	8	no	—
345	C₄×D₄₇	—	2	4	no	—
346	C₄×D₄₇	—	2	4	no	—
347	C₄×D₄₇	—	2	8	no	—
348	C₄×D₄₇	—	8	2	no	—
349	C₄×D₄₇	C₂³×C₄	1	4	yes	—
350	C₄×D₄₇	C₂²×D₄	1	4	yes	—
351	Dic₉₄	—	2	2	no	—
352	Dic₉₄	—	2	8	no	—
353	Dic₉₄	C₄×D₄	1	2	yes	—
354	Dic₉₄	C₄×D₄	1	2	yes	—
355	Dic₉₄	C₂³×C₄	1	4	yes	—
356	C₈×C₄₇	—	2	4	no	—
357	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
358	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
359	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
360	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
361	C₈×C₄₇	C₂²×D₄	1	4	yes	—
362	C₄₇⋊C₈	—	2	4	no	—
363	C₄₇⋊C₈	C₂³×C₄	1	4	yes	—
364	C₄₇⋊C₈	C₂²×D₄	1	2	yes	—
365	C₄₇⋊C₈	C₂²×D₄	1	2	yes	—
366	#60184	—	47	1	no	maximal, Sylow
367	C₂²×C₄₇	—	2	4	no	—
368	C₂²×C₄₇	—	4	1	no	—
369	C₂²×C₄₇	—	8	2	no	—
370	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
371	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
372	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
373	C₂×D₄₇	—	2	4	no	—
374	C₂×D₄₇	—	4	2	no	—
375	C₂×D₄₇	—	8	8	no	—
376	C₂×D₄₇	—	8	2	no	—
377	C₂×D₄₇	C₂×C₄×D₄	1	4	yes	—
378	C₄×C₄₇	—	2	4	no	—
379	C₄×C₄₇	—	4	2	no	—
380	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
381	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
382	C₄×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
383	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
384	Dic₄₇	—	2	4	no	—
385	Dic₄₇	—	4	1	no	—
386	Dic₄₇	—	4	1	no	—
387	Dic₄₇	C₂×C₄×D₄	1	4	yes	—
388	#3584	—	47	1	no	—
389	#3573	—	47	2	no	—
390	#2957	—	47	4	no	—
391	#2957	—	47	1	no	—
392	#2957	D₄₇	1	1	yes	characteristic, complemented
393	#2956	—	47	4	no	—
394	#2956	—	47	2	no	—
395	#2955	—	47	4	no	—
396	#2955	—	47	2	no	—
397	C₂×#444	—	47	4	no	—
398	C₂×#444	—	47	1	no	—
399	C₂×#444	—	47	1	no	—
400	#2916	—	47	1	no	—
401	#2901	—	47	2	no	—
402	#2875	—	47	1	no	—
403	C₂×C₄₇	—	2	1	no	—
404	C₂×C₄₇	—	2	1	no	—
405	C₂×C₄₇	—	2	1	no	—
406	C₂×C₄₇	—	4	4	no	—
407	C₂×C₄₇	C₂²×C₄×D₄	1	1	yes	characteristic
408	D₄₇	—	2	4	no	—
409	D₄₇	—	4	4	no	—
410	#585	—	47	2	no	—
411	#578	—	47	2	no	—
412	#578	—	47	2	no	—
413	#577	—	47	4	no	—
414	#577	—	47	4	no	—
415	#576	—	47	2	no	—
416	#576	—	47	2	no	—
417	#575	—	47	2	no	—
418	#575	—	47	4	no	—
419	C₂×#135	—	47	4	no	—
420	C₂×#135	—	47	1	no	—
421	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
422	#568	—	47	2	no	—
423	#568	—	47	8	no	—
424	#568	—	47	2	no	—
425	#568	—	94	4	no	—
426	#568	—	94	4	no	—
427	#568	C₂×D₄₇	1	2	yes	complemented
428	C₂×#131	—	47	1	no	—
429	C₂×#131	—	47	1	no	—
430	C₂×#131	—	47	2	no	—
431	C₂×#131	—	47	8	no	—
432	C₂×#131	—	47	2	no	—
433	C₂×#131	—	94	4	no	—
434	C₂×#131	—	94	4	no	—
435	C₄×#41	—	47	1	no	—
436	#444	—	47	2	no	—
437	#444	—	47	2	no	—
438	#444	—	47	2	no	—
439	#444	—	47	2	no	—
440	#444	—	47	8	no	—
441	#444	—	47	2	no	—
442	#444	—	47	2	no	—
443	#444	—	47	2	no	—
444	#444	—	47	2	no	—
445	#444	—	47	8	no	—
446	#444	—	47	4	no	—
447	#444	C₂×D₄₇	1	4	yes	complemented
448	#443	—	47	8	no	—
449	#443	—	47	8	no	—
450	#443	—	47	4	no	—
451	#443	C₂×D₄₇	1	4	yes	complemented
452	#430	—	47	2	no	—
453	#430	—	47	4	no	—
454	C₂×#108	—	47	1	no	—
455	C₂×#108	—	47	4	no	—
456	C₂×#108	C₂×D₄₇	1	1	yes	characteristic, complemented
457	#421	—	47	2	no	—
458	#421	—	47	8	no	—
459	#421	C₂×D₄₇	1	2	yes	complemented
460	C₂×#104	—	47	2	no	—
461	C₂×#104	—	47	2	no	—
462	C₂×#104	—	47	8	no	—
463	#405	—	47	1	no	—
464	#405	—	47	2	no	—
465	#405	—	47	2	no	—
466	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
467	C₄×M₁₆	—	47	1	no	—
468	C₄×M₁₆	—	47	2	no	—
469	C₂×#97	—	47	1	no	—
470	C₂×#97	—	47	2	no	—
471	C₄₇	#60184	1	1	yes	characteristic, complemented, Sylow
472	2₋¹⁺⁴	—	47	4	no	—
473	2₋¹⁺⁴	—	47	4	no	—
474	2₋¹⁺⁴	—	94	2	no	—
475	H(5,𝔽₂)	—	47	4	no	—
476	H(5,𝔽₂)	—	47	4	no	—
477	H(5,𝔽₂)	—	94	4	no	—
478	H(5,𝔽₂)	—	94	2	no	—
479	C₂×#41	—	47	1	no	—
480	C₂×#41	—	47	8	no	—
481	C₂×#41	—	47	2	no	—
482	C₂×#41	—	94	4	no	—
483	C₂×#41	—	94	4	no	—
484	C₂×#41	C₂²×D₄₇	1	2	yes	—
485	#137	—	47	4	no	—
486	#137	—	47	4	no	—
487	#137	—	47	8	no	—
488	#137	—	47	8	no	—
489	AGL(1,ℤ/8)	—	47	4	no	—
490	AGL(1,ℤ/8)	—	47	4	no	—
491	AGL(1,ℤ/8)	—	47	8	no	—
492	AGL(1,ℤ/8)	—	47	8	no	—
493	#135	—	47	8	no	—
494	#135	—	47	4	no	—
495	#135	—	47	8	no	—
496	#135	—	47	4	no	—
497	#135	—	47	2	no	—
498	#135	—	47	2	no	—
499	#135	—	47	2	no	—
500	#135	—	47	2	no	—
501	#135	C₄×D₄₇	1	2	yes	complemented
502	#135	C₄×D₄₇	1	2	yes	complemented
503	#135	C₂²×D₄₇	1	2	yes	—
504	#135	C₂²×D₄₇	1	2	yes	—
505	C₂×Q₁₆	—	47	4	no	—
506	C₂×Q₁₆	—	47	1	no	—
507	C₂×Q₁₆	C₄×D₄₇	1	1	yes	characteristic, complemented
508	C₂×SD₁₆	—	47	8	no	—
509	C₂×SD₁₆	—	47	2	no	—
510	C₂×SD₁₆	C₄×D₄₇	1	2	yes	complemented
511	C₂×D₈	—	47	4	no	—
512	C₂×D₈	—	47	1	no	—
513	C₂×D₈	C₄×D₄₇	1	1	yes	characteristic, complemented
514	#131	—	2	4	no	—
515	#131	—	47	4	no	—
516	#131	—	47	4	no	—
517	#131	—	47	2	no	—
518	#131	—	47	2	no	—
519	#131	—	47	2	no	—
520	#131	—	47	2	no	—
521	#131	—	47	4	no	—
522	#131	—	47	4	no	—
523	#131	—	47	4	no	—
524	#131	—	47	4	no	—
525	#131	—	47	8	no	—
526	#131	—	94	8	no	—
527	#131	—	94	8	no	—
528	#131	—	94	4	no	—
529	#131	—	94	2	no	—
530	#131	—	94	8	no	—
531	#131	—	94	2	no	—
532	#131	—	94	2	no	—
533	#131	—	94	2	no	—
534	#131	—	94	8	no	—
535	#131	—	94	4	no	—
536	#131	—	94	4	no	—
537	#131	C₂²×D₄₇	1	8	yes	—
538	C₂×M₁₆	—	2	4	no	—
539	C₂×M₁₆	—	47	1	no	—
540	C₂×M₁₆	—	47	2	no	—
541	C₂×M₁₆	—	47	2	no	—
542	C₂×M₁₆	—	47	2	no	—
543	C₂×M₁₆	—	47	8	no	—
544	C₂×M₁₆	—	94	2	no	—
545	C₂×M₁₆	—	94	8	no	—
546	C₂×M₁₆	—	94	8	no	—
547	C₂×M₁₆	—	94	2	no	—
548	C₂×M₁₆	—	94	8	no	—
549	C₂×M₁₆	—	94	4	no	—
550	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
551	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
552	C₂²×C₈	—	47	1	no	—
553	C₂²×C₈	—	47	2	no	—
554	C₂²×C₈	—	47	2	no	—
555	C₂²×C₈	—	94	2	no	—
556	C₂²×C₈	—	94	8	no	—
557	C₂²×C₈	—	94	2	no	—
558	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
559	C₄×Q₈	—	94	1	no	—
560	C₄×D₄	—	94	2	no	—
561	C₄×D₄	—	94	1	no	—
562	#117	—	47	2	no	—
563	#117	C₂²×D₄₇	1	1	yes	characteristic
564	C₂×C₄²	—	47	1	no	—
565	C₂×C₄²	—	47	2	no	—
566	#108	—	47	8	no	—
567	#108	—	47	2	no	—
568	#108	—	47	2	no	—
569	#108	C₂²×D₄₇	1	2	yes	—
570	#108	C₂²×D₄₇	1	2	yes	—
571	#104	—	47	4	no	—
572	#104	—	47	4	no	—
573	#104	—	47	4	no	—
574	#104	—	47	4	no	—
575	#104	—	47	8	no	—
576	#104	C₂²×D₄₇	1	8	yes	—
577	#97	—	47	1	no	—
578	#97	—	47	2	no	—
579	#97	—	47	1	no	—
580	#97	—	47	1	no	—
581	#97	—	47	1	no	—
582	#97	—	47	2	no	—
583	#97	C₂²×D₄₇	1	2	yes	—
584	C₄×C₈	—	47	2	no	—
585	C₄×C₈	—	47	2	no	—
586	C₄×C₈	C₂²×D₄₇	1	2	yes	—
587	#41	—	2	2	no	—
588	#41	—	2	2	no	—
589	#41	—	47	2	no	—
590	#41	—	47	2	no	—
591	#41	—	47	2	no	—
592	#41	—	47	2	no	—
593	#41	—	47	8	no	—
594	#41	—	47	8	no	—
595	#41	—	47	4	no	—
596	#41	—	47	4	no	—
597	#41	—	94	8	no	—
598	#41	—	94	8	no	—
599	#41	—	94	4	no	—
600	#41	—	94	4	no	—
601	#41	—	94	8	no	—
602	#41	—	94	8	no	—
603	#41	—	94	4	no	—
604	#41	—	94	4	no	—
605	#41	—	94	2	no	—
606	#41	—	94	2	no	—
607	#41	C₂×C₄×D₄₇	1	4	yes	—
608	#41	C₂³×D₄₇	1	4	yes	—
609	C₂×Q₈	—	47	1	no	—
610	C₂×Q₈	—	47	8	no	—
611	C₂×Q₈	—	47	2	no	—
612	C₂×Q₈	—	94	4	no	—
613	C₂×Q₈	—	94	4	no	—
614	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
615	C₂×D₄	—	2	2	no	—
616	C₂×D₄	—	47	2	no	—
617	C₂×D₄	—	47	8	no	—
618	C₂×D₄	—	47	2	no	—
619	C₂×D₄	—	47	1	no	—
620	C₂×D₄	—	94	4	no	—
621	C₂×D₄	—	94	8	no	—
622	C₂×D₄	—	94	4	no	—
623	C₂×D₄	—	94	8	no	—
624	C₂×D₄	—	94	8	no	—
625	C₂×D₄	—	94	2	no	—
626	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
627	C₂²×C₄	—	2	2	no	—
628	C₂²×C₄	—	47	2	no	—
629	C₂²×C₄	—	94	8	no	—
630	C₂²×C₄	—	94	2	no	—
631	C₂²×C₄	—	94	2	no	—
632	C₂²×C₄	—	94	1	no	—
633	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
634	Q₁₆	—	47	8	no	—
635	Q₁₆	—	47	2	no	—
636	Q₁₆	—	47	2	no	—
637	Q₁₆	C₂×C₄×D₄₇	1	2	yes	—
638	Q₁₆	C₂×C₄×D₄₇	1	2	yes	—
639	SD₁₆	—	47	8	no	—
640	SD₁₆	—	47	8	no	—
641	SD₁₆	—	47	4	no	—
642	SD₁₆	—	47	4	no	—
643	SD₁₆	C₂×C₄×D₄₇	1	4	yes	—
644	SD₁₆	C₂×C₄×D₄₇	1	4	yes	—
645	D₈	—	47	8	no	—
646	D₈	—	47	2	no	—
647	D₈	—	47	2	no	—
648	D₈	C₂×C₄×D₄₇	1	2	yes	—
649	D₈	C₂×C₄×D₄₇	1	2	yes	—
650	M₁₆	—	2	2	no	—
651	M₁₆	—	2	8	no	—
652	M₁₆	—	47	2	no	—
653	M₁₆	—	47	2	no	—
654	M₁₆	—	47	4	no	—
655	M₁₆	—	47	4	no	—
656	M₁₆	—	47	8	no	—
657	M₁₆	—	47	4	no	—
658	M₁₆	—	94	4	no	—
659	M₁₆	—	94	4	no	—
660	M₁₆	—	94	8	no	—
661	M₁₆	—	94	4	no	—
662	M₁₆	—	94	4	no	—
663	M₁₆	—	94	2	no	—
664	M₁₆	—	94	8	no	—
665	M₁₆	D₄×D₄₇	1	2	yes	—
666	M₁₆	D₄×D₄₇	1	2	yes	—
667	M₁₆	C₂³×D₄₇	1	4	yes	—
668	C₂×C₈	—	2	2	no	—
669	C₂×C₈	—	2	8	no	—
670	C₂×C₈	—	47	2	no	—
671	C₂×C₈	—	47	2	no	—
672	C₂×C₈	—	47	2	no	—
673	C₂×C₈	—	47	1	no	—
674	C₂×C₈	—	47	1	no	—
675	C₂×C₈	—	47	4	no	—
676	C₂×C₈	—	47	4	no	—
677	C₂×C₈	—	47	8	no	—
678	C₂×C₈	—	94	4	no	—
679	C₂×C₈	—	94	4	no	—
680	C₂×C₈	—	94	8	no	—
681	C₂×C₈	—	94	4	no	—
682	C₂×C₈	—	94	4	no	—
683	C₂×C₈	—	94	2	no	—
684	C₂×C₈	—	94	8	no	—
685	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
686	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
687	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
688	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
689	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
690	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
691	C₂×C₈	C₂³×D₄₇	1	2	yes	—
692	C₄⋊C₄	—	2	1	no	—
693	C₄⋊C₄	—	94	2	no	—
694	C₂²⋊C₄	—	2	1	no	—
695	C₂²⋊C₄	—	94	2	no	—
696	C₄²	—	47	1	no	—
697	C₄²	—	47	1	no	—
698	C₄²	—	94	2	no	—
699	C₄²	—	94	1	no	—
700	C₄²	C₂³×D₄₇	1	2	yes	—
701	C₂³	—	2	2	no	—
702	C₂³	—	47	2	no	—
703	C₂³	—	94	8	no	—
704	C₂³	—	94	2	no	—
705	C₂³	#41×D₄₇	1	1	yes	characteristic
706	Q₈	—	2	2	no	—
707	Q₈	—	47	2	no	—
708	Q₈	—	47	2	no	—
709	Q₈	—	47	4	no	—
710	Q₈	—	94	8	no	—
711	Q₈	—	94	2	no	—
712	Q₈	C₂²×C₄×D₄₇	1	4	yes	—
713	D₄	—	2	4	no	—
714	D₄	—	2	4	no	—
715	D₄	—	2	2	no	—
716	D₄	—	47	4	no	—
717	D₄	—	47	4	no	—
718	D₄	—	47	2	no	—
719	D₄	—	47	2	no	—
720	D₄	—	47	4	no	—
721	D₄	—	94	8	no	—
722	D₄	—	94	8	no	—
723	D₄	—	94	8	no	—
724	D₄	—	94	4	no	—
725	D₄	—	94	4	no	—
726	D₄	—	94	2	no	—
727	D₄	C₂²×C₄×D₄₇	1	4	yes	—
728	C₂×C₄	—	2	2	no	—
729	C₂×C₄	—	2	4	no	—
730	C₂×C₄	—	2	4	no	—
731	C₂×C₄	—	2	2	no	—
732	C₂×C₄	—	47	2	no	—
733	C₂×C₄	—	47	4	no	—
734	C₂×C₄	—	47	4	no	—
735	C₂×C₄	—	94	8	no	—
736	C₂×C₄	—	94	8	no	—
737	C₂×C₄	—	94	8	no	—
738	C₂×C₄	—	94	2	no	—
739	C₂×C₄	—	94	4	no	—
740	C₂×C₄	—	94	4	no	—
741	C₂×C₄	—	94	1	no	—
742	C₂×C₄	—	94	1	no	—
743	C₂×C₄	—	376	2	no	—
744	C₂×C₄	—	376	1	no	—
745	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
746	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
747	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
748	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
749	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
750	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
751	C₈	—	2	4	no	—
752	C₈	—	47	4	no	—
753	C₈	—	47	2	no	—
754	C₈	—	47	2	no	—
755	C₈	—	94	4	no	—
756	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
757	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
758	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
759	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
760	C₈	C₂×D₄×D₄₇	1	4	yes	—
761	C₂²	—	2	4	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	8	2	no	—
764	C₂²	—	47	4	no	—
765	C₂²	—	94	4	no	—
766	C₂²	—	376	2	no	—
767	C₂²	—	376	8	no	—
768	C₂²	—	188	2	no	—
769	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
770	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
771	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
772	C₄	—	2	4	no	—
773	C₄	—	4	2	no	—
774	C₄	—	47	4	no	—
775	C₄	—	94	4	no	—
776	C₄	—	188	1	no	—
777	C₄	—	188	1	no	—
778	C₄	C₄×D₄×D₄₇	1	1	yes	characteristic
779	C₄	C₄×D₄×D₄₇	1	1	yes	characteristic
780	C₄	C₂³×C₄×D₄₇	1	1	yes	characteristic
781	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
782	C₂	—	2	1	no	—
783	C₂	—	2	1	no	—
784	C₂	—	2	1	no	—
785	C₂	—	4	4	no	—
786	C₂	—	94	4	no	—
787	C₂	—	188	4	no	—
788	C₂	C₂×C₄×D₄×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂²×D₄×D₄₇
commutator	C₄×C₄₇	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#2957	C₂
socle	C₂×C₄₇	C₂²×C₄×D₄
prime radical	#20258157	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2957	D₄₇
hypocenter	C₄₇	#60184
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₄ ◁ C₂×M₁₆ ◁ #2957

Complements

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

N	H ≅ G/N	type
2. #20258101	C₂	semidirect
3. #20252306	C₂	semidirect
4. #20252302	C₂	semidirect
5. #20252295	C₂	semidirect
6. #20252293	C₂	semidirect
7. #20252287	C₂	semidirect
8. #20252286	C₂	semidirect
9. C₂×#15689245	C₂	semidirect
10. C₂×#15689244	C₂	semidirect
11. #444×D₄₇	C₂	semidirect
12. #20251996	C₂	semidirect
13. #20251934	C₂	semidirect
14. #20251815	C₂	semidirect
15. C₄₇×#2957	C₂	semidirect
17. #15689937	C₄	semidirect
18. #15689936	C₄	semidirect
19. #15689930	C₄	semidirect
20. #15689929	C₄	semidirect
21. #15689925	C₄	semidirect
22. #15689924	C₄	semidirect
29. #15689889	C₂²	semidirect
31. #15689888	C₂²	semidirect
34. C₂×#13094032	C₂²	semidirect
35. C₂×#13094031	C₂²	semidirect
38. #131×D₄₇	C₂²	semidirect
40. #15689246	C₂²	semidirect
41. #15689245	C₂²	semidirect
42. #15689245	C₂²	semidirect
43. #15689245	C₂²	semidirect
44. #15689245	C₂²	semidirect
45. #15689244	C₂²	semidirect
46. #15689244	C₂²	semidirect
47. #15689244	C₂²	semidirect
48. #15689244	C₂²	semidirect
49. #15689243	C₂²	semidirect
50. #15689242	C₂²	semidirect
51. #15689241	C₂²	semidirect
52. #15689238	C₂²	semidirect
53. #15689237	C₂²	semidirect
54. #15689171	C₂²	semidirect
55. #15689170	C₂²	semidirect
56. C₂×#13093960	C₂²	semidirect
57. #108×D₄₇	C₂²	semidirect
58. #15689141	C₂²	semidirect
59. #15689138	C₂²	semidirect
60. C₂×#13093951	C₂²	semidirect
61. C₂×#13093950	C₂²	semidirect
62. #104×D₄₇	C₂²	semidirect
63. #15689080	C₂²	semidirect
64. #15689079	C₂²	semidirect
65. #15689077	C₂²	semidirect
66. M₁₆×Dic₄₇	C₂²	semidirect
67. C₄×#10625324	C₂²	semidirect
68. C₂×#13093934	C₂²	semidirect
69. #97×D₄₇	C₂²	semidirect
71. C₄₇×#568	C₂²	semidirect
72. C₄₇×#444	C₂²	semidirect
73. C₄₇×#443	C₂²	semidirect
74. C₂×#108×C₄₇	C₂²	semidirect
75. C₄₇×#421	C₂²	semidirect
76. C₄₇×#405	C₂²	semidirect
89. #13094056	C₂×C₄	semidirect
90. #13094055	C₂×C₄	semidirect
91. #13094054	C₂×C₄	semidirect
92. #13094053	C₂×C₄	semidirect
93. #13094051	C₂×C₄	semidirect
94. #13094050	C₂×C₄	semidirect
95. #13094049	C₂×C₄	semidirect
96. #13094048	C₂×C₄	semidirect
97. #13094047	C₂×C₄	semidirect
98. #13094046	C₂×C₄	semidirect
99. #13094046	C₂×C₄	semidirect
102. #13094045	C₂×C₄	semidirect
104. #13094043	C₂×C₄	semidirect
105. C₂×Dic₁₈₈	C₂×C₄	semidirect
106. Q₁₆×D₄₇	C₂×C₄	semidirect
107. C₂×#10625325	C₂×C₄	semidirect
108. SD₁₆×D₄₇	C₂×C₄	semidirect
109. C₂×D₃₇₆	C₂×C₄	semidirect
110. D₈×D₄₇	C₂×C₄	semidirect
173. #135×C₄₇	C₂×C₄	semidirect
174. #135×C₄₇	C₂×C₄	semidirect
177. C₂×Q₁₆×C₄₇	C₂×C₄	semidirect
178. C₂×SD₁₆×C₄₇	C₂×C₄	semidirect
179. C₂×D₈×C₄₇	C₂×C₄	semidirect
392. #2957	D₄₇	semidirect
427. #568	C₂×D₄₇	semidirect
447. #444	C₂×D₄₇	semidirect
451. #443	C₂×D₄₇	semidirect
456. C₂×#108	C₂×D₄₇	semidirect
459. #421	C₂×D₄₇	semidirect
466. #405	C₂×D₄₇	semidirect
471. C₄₇	#60184	semidirect
501. #135	C₄×D₄₇	semidirect
502. #135	C₄×D₄₇	semidirect
507. C₂×Q₁₆	C₄×D₄₇	semidirect
510. C₂×SD₁₆	C₄×D₄₇	semidirect
513. C₂×D₈	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20258157	2
#20258101	2
#20252306	2
#20252302	2
#20252295	2
#20252293	2
#20252287	2
#20252286	2
C₂×#15689245	2
C₂×#15689244	2
#444×D₄₇	2
#20251996	2
#20251934	2
#20251815	2
C₄₇×#2957	2
#60184	47