Subgroups — #26183875

Order 12032.

1366 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251837	C₂	1	1	yes	maximal, characteristic, complemented
2	#20246218	C₂	1	1	yes	maximal, characteristic, complemented
3	#20241956	C₂	1	1	yes	maximal, characteristic, complemented
4	#20241944	C₂	1	2	yes	maximal, complemented
5	#20241931	C₂	1	1	yes	maximal, characteristic, complemented
6	#20241917	C₂	1	2	yes	maximal, complemented
7	#20241904	C₂	1	1	yes	maximal, characteristic, complemented
8	#20241892	C₂	1	2	yes	maximal, complemented
9	#20241879	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15688857	C₂	1	2	yes	maximal, complemented
11	C₄₇×#3488	C₂	1	1	yes	maximal, characteristic
12	C₂×#13094031	—	2	1	no	—
13	C₂×D₄×Dic₄₇	—	2	1	no	—
14	#15689090	—	2	2	no	—
15	#15689090	—	2	1	no	—
16	#15689087	C₂²	1	1	yes	characteristic, complemented
17	#15689087	C₂²	1	2	yes	complemented
18	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	2	yes	complemented
19	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
20	#15689030	—	2	1	no	—
21	#15689003	—	2	2	no	—
22	#15688986	C₂²	1	2	yes	complemented
23	#15688983	C₂²	1	1	yes	characteristic, complemented
24	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₄₇⋊#95	C₂²	1	2	yes	complemented
26	#15688860	C₂²	1	2	yes	complemented
27	#15688860	C₂²	1	1	yes	characteristic, complemented
28	#15688860	C₂²	1	1	yes	characteristic, complemented
29	#15688857	C₂²	1	2	yes	complemented
30	#15688857	C₂²	1	2	yes	complemented
31	#15688857	C₂²	1	2	yes	complemented
32	#15688857	C₂²	1	2	yes	complemented
33	#15688857	C₂²	1	1	yes	characteristic, complemented
34	#15688857	C₂²	1	2	yes	complemented
35	#15688857	C₂²	1	1	yes	characteristic, complemented
36	C₂×H(5,𝔽₂)×C₄₇	C₄	1	1	yes	characteristic, complemented
37	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
38	C₄₇×#550	—	2	1	no	—
39	C₄₇×#548	—	2	1	no	—
40	C₄₇×#546	—	2	1	no	—
41	C₄₇×#546	—	2	2	no	—
42	D₄²×C₄₇	—	2	1	no	—
43	D₄²×C₄₇	—	2	2	no	—
44	C₄₇×#537	C₄	1	1	yes	characteristic, complemented
45	C₄₇×#537	C₄	1	2	yes	complemented
46	C₄₇×#535	C₄	1	1	yes	characteristic, complemented
47	C₄₇×#535	C₄	1	2	yes	complemented
48	C₄₇×#525	C₂²	1	1	yes	characteristic
49	C₄₇×#525	C₂²	1	2	yes	—
50	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
51	C₂×#121×C₄₇	C₂²	1	2	yes	—
52	C₄₇×#520	C₄	1	1	yes	characteristic, complemented
53	C₂³×Dic₄₇	—	2	2	no	—
54	#13094031	—	4	4	no	—
55	C₂×#10625329	—	2	2	no	—
56	C₂×#10625329	—	2	1	no	—
57	C₂²×C₄₇⋊C₈	—	2	2	no	—
58	C₂²×C₄₇⋊C₈	—	2	1	no	—
59	D₄×Dic₄₇	—	4	4	no	—
60	C₂×C₄⋊Dic₄₇	—	2	1	no	—
61	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
62	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
63	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
64	C₂×C₄×Dic₄₇	—	2	1	no	—
65	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
67	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
69	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
70	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
71	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
72	C₄₇⋊#95	—	2	2	no	—
73	C₄₇⋊#95	—	2	2	no	—
74	C₄₇⋊#95	C₂³	1	1	yes	characteristic
75	C₄₇⋊#95	C₂³	1	2	yes	—
76	C₄₇⋊#95	C₂³	1	1	yes	characteristic
77	H(5,𝔽₂)×C₄₇	—	4	4	no	—
78	C₂×#41×C₄₇	—	2	1	no	—
79	C₂×#41×C₄₇	—	4	4	no	—
80	C₂×#41×C₄₇	C₂×C₄	1	1	yes	characteristic
81	C₂×#41×C₄₇	C₂×C₄	1	2	yes	—
82	C₂×#41×C₄₇	C₂×C₄	1	1	yes	characteristic
83	C₂×#41×C₄₇	C₂×C₄	1	2	yes	complemented
84	C₂×#41×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
85	C₂×#41×C₄₇	D₄	1	1	yes	characteristic
86	C₂×#41×C₄₇	D₄	1	2	yes	—
87	C₂×#41×C₄₇	D₄	1	1	yes	characteristic
88	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
89	C₂²×D₄×C₄₇	—	2	2	no	—
90	C₂²×D₄×C₄₇	—	2	1	no	—
91	C₂²×D₄×C₄₇	—	2	2	no	—
92	C₂²×D₄×C₄₇	—	2	1	no	—
93	C₂²×D₄×C₄₇	C₂×C₄	1	2	yes	complemented
94	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
96	C₂²×D₄×C₄₇	D₄	1	2	yes	—
97	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
98	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
99	#127×C₄₇	—	2	1	no	—
100	#127×C₄₇	—	2	2	no	—
101	#124×C₄₇	—	2	1	no	—
102	#124×C₄₇	—	2	2	no	—
103	#123×C₄₇	—	2	2	no	—
104	#123×C₄₇	—	2	1	no	—
105	C₂²⋊Q₈×C₄₇	—	2	1	no	—
106	C₂²⋊Q₈×C₄₇	—	2	2	no	—
107	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
108	C₂²⋊Q₈×C₄₇	C₂×C₄	1	2	yes	complemented
109	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
110	#121×C₄₇	—	2	2	no	—
111	#121×C₄₇	—	2	2	no	—
112	#121×C₄₇	—	2	2	no	—
113	#121×C₄₇	—	2	1	no	—
114	#121×C₄₇	—	2	2	no	—
115	#121×C₄₇	—	2	1	no	—
116	#121×C₄₇	—	2	2	no	—
117	#121×C₄₇	—	2	1	no	—
118	#121×C₄₇	—	2	2	no	—
119	#121×C₄₇	C₂×C₄	1	2	yes	complemented
120	#121×C₄₇	C₂×C₄	1	2	yes	complemented
121	#121×C₄₇	C₂×C₄	1	2	yes	complemented
122	#121×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
123	#121×C₄₇	C₂×C₄	1	2	yes	complemented
124	#121×C₄₇	C₂³	1	2	yes	—
125	#121×C₄₇	C₂³	1	1	yes	characteristic
126	#120×C₄₇	—	2	2	no	—
127	#120×C₄₇	—	2	1	no	—
128	#120×C₄₇	—	2	2	no	—
129	#120×C₄₇	—	2	2	no	—
130	#120×C₄₇	—	2	2	no	—
131	C₄×Q₈×C₄₇	—	2	1	no	—
132	C₄×D₄×C₄₇	—	2	2	no	—
133	C₄×D₄×C₄₇	—	2	1	no	—
134	C₄×D₄×C₄₇	—	2	1	no	—
135	C₄×D₄×C₄₇	—	2	2	no	—
136	C₄×D₄×C₄₇	—	2	1	no	—
137	C₄×D₄×C₄₇	—	2	2	no	—
138	#117×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
139	#117×C₄₇	C₂×C₄	1	2	yes	complemented
140	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
141	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	2	yes	complemented
142	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
143	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
144	C₂⁴×C₄₇	—	2	1	no	—
145	C₂⁴×C₄₇	—	2	2	no	—
146	C₂⁴×C₄₇	C₂×D₄	1	2	yes	—
147	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
148	#41×C₄₇	—	2	4	no	—
149	#41×C₄₇	—	2	4	no	—
150	#41×C₄₇	—	4	4	no	—
151	#41×C₄₇	—	4	4	no	—
152	#41×C₄₇	—	4	2	no	—
153	#41×C₄₇	—	4	2	no	—
154	#41×C₄₇	—	4	4	no	—
155	#41×C₄₇	—	4	2	no	—
156	#41×C₄₇	—	4	4	no	—
157	C₂×Q₈×C₄₇	—	4	2	no	—
158	C₂×Q₈×C₄₇	C₂²⋊C₄	1	1	yes	characteristic
159	C₂×Q₈×C₄₇	C₂²⋊C₄	1	1	yes	characteristic
160	C₂×Q₈×C₄₇	C₂²⋊C₄	1	2	yes	—
161	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
162	C₂×D₄×C₄₇	—	2	4	no	—
163	C₂×D₄×C₄₇	—	2	1	no	—
164	C₂×D₄×C₄₇	—	2	2	no	—
165	C₂×D₄×C₄₇	—	2	1	no	—
166	C₂×D₄×C₄₇	—	2	2	no	—
167	C₂×D₄×C₄₇	—	2	1	no	—
168	C₂×D₄×C₄₇	—	2	2	no	—
169	C₂×D₄×C₄₇	—	2	2	no	—
170	C₂×D₄×C₄₇	—	2	2	no	—
171	C₂×D₄×C₄₇	—	2	2	no	—
172	C₂×D₄×C₄₇	—	2	2	no	—
173	C₂×D₄×C₄₇	—	2	1	no	—
174	C₂×D₄×C₄₇	—	4	4	no	—
175	C₂×D₄×C₄₇	—	4	2	no	—
176	C₂×D₄×C₄₇	—	4	4	no	—
177	C₂×D₄×C₄₇	—	4	8	no	—
178	C₂×D₄×C₄₇	—	4	4	no	—
179	C₂×D₄×C₄₇	—	8	2	no	—
180	C₂×D₄×C₄₇	—	8	1	no	—
181	C₂×D₄×C₄₇	—	8	2	no	—
182	C₂×D₄×C₄₇	—	8	1	no	—
183	C₂×D₄×C₄₇	C₂²⋊C₄	1	2	yes	—
184	C₂×D₄×C₄₇	C₂²⋊C₄	1	2	yes	—
185	C₂×D₄×C₄₇	C₂²⋊C₄	1	2	yes	—
186	C₂×D₄×C₄₇	C₂²⋊C₄	1	1	yes	characteristic
187	C₂×D₄×C₄₇	C₂²⋊C₄	1	2	yes	—
188	C₂×D₄×C₄₇	C₂²⋊C₄	1	2	yes	—
189	C₂×D₄×C₄₇	C₂²⋊C₄	1	1	yes	characteristic
190	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
191	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
192	C₂²×C₄×C₄₇	—	2	1	no	—
193	C₂²×C₄×C₄₇	—	2	2	no	—
194	C₂²×C₄×C₄₇	—	2	2	no	—
195	C₂²×C₄×C₄₇	—	2	1	no	—
196	C₂²×C₄×C₄₇	—	4	2	no	—
197	C₂²×C₄×C₄₇	—	4	4	no	—
198	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
199	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
200	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
201	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
202	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
204	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
206	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
208	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
209	C₂²×Dic₄₇	—	2	1	no	—
210	C₂²×Dic₄₇	—	2	1	no	—
211	C₂²×Dic₄₇	—	2	2	no	—
212	C₂²×Dic₄₇	—	4	4	no	—
213	C₂²×Dic₄₇	—	4	4	no	—
214	C₂²×Dic₄₇	—	8	2	no	—
215	C₄⋊C₄×C₄₇	—	2	2	no	—
216	C₄⋊C₄×C₄₇	—	2	1	no	—
217	C₄⋊C₄×C₄₇	—	2	1	no	—
218	C₄⋊C₄×C₄₇	—	2	2	no	—
219	C₄⋊C₄×C₄₇	—	2	1	no	—
220	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
221	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
222	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
223	C₂²⋊C₄×C₄₇	—	2	1	no	—
224	C₂²⋊C₄×C₄₇	—	2	2	no	—
225	C₂²⋊C₄×C₄₇	—	2	1	no	—
226	C₂²⋊C₄×C₄₇	—	2	2	no	—
227	C₂²⋊C₄×C₄₇	—	2	1	no	—
228	C₂²⋊C₄×C₄₇	—	2	2	no	—
229	C₂²⋊C₄×C₄₇	—	2	2	no	—
230	C₂²⋊C₄×C₄₇	—	2	2	no	—
231	C₂²⋊C₄×C₄₇	—	2	1	no	—
232	C₂²⋊C₄×C₄₇	—	2	2	no	—
233	C₂²⋊C₄×C₄₇	—	2	1	no	—
234	C₂²⋊C₄×C₄₇	—	2	2	no	—
235	C₄²×C₄₇	—	2	2	no	—
236	C₄²×C₄₇	—	2	1	no	—
237	C₂²⋊Dic₄₇	—	4	2	no	—
238	C₂²⋊Dic₄₇	—	4	4	no	—
239	C₂²⋊Dic₄₇	—	8	1	no	—
240	C₄⋊Dic₄₇	—	4	2	no	—
241	C₄×Dic₄₇	—	4	2	no	—
242	#10625329	—	4	4	no	—
243	#10625329	—	4	2	no	—
244	C₂×C₄₇⋊C₈	—	2	1	no	—
245	C₂×C₄₇⋊C₈	—	2	1	no	—
246	C₂×C₄₇⋊C₈	—	2	2	no	—
247	C₂×C₄₇⋊C₈	—	4	4	no	—
248	C₂×C₄₇⋊C₈	—	4	2	no	—
249	C₂³×C₄₇	—	2	2	no	—
250	C₂³×C₄₇	—	2	2	no	—
251	C₂³×C₄₇	—	2	4	no	—
252	C₂³×C₄₇	—	2	1	no	—
253	C₂³×C₄₇	—	2	1	no	—
254	C₂³×C₄₇	—	2	2	no	—
255	C₂³×C₄₇	—	2	1	no	—
256	C₂³×C₄₇	—	4	2	no	—
257	C₂³×C₄₇	—	4	1	no	—
258	C₂³×C₄₇	—	4	1	no	—
259	C₂³×C₄₇	—	4	2	no	—
260	C₂³×C₄₇	—	4	4	no	—
261	C₂³×C₄₇	—	8	2	no	—
262	C₂³×C₄₇	—	8	1	no	—
263	C₂³×C₄₇	—	8	2	no	—
264	C₂³×C₄₇	—	8	1	no	—
265	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
266	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
267	C₂³×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
268	C₂³×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
269	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
270	Q₈×C₄₇	—	2	2	no	—
271	Q₈×C₄₇	—	2	2	no	—
272	Q₈×C₄₇	—	4	2	no	—
273	Q₈×C₄₇	—	4	1	no	—
274	D₄×C₄₇	—	2	4	no	—
275	D₄×C₄₇	—	2	4	no	—
276	D₄×C₄₇	—	2	4	no	—
277	D₄×C₄₇	—	2	2	no	—
278	D₄×C₄₇	—	4	2	no	—
279	D₄×C₄₇	—	4	2	no	—
280	D₄×C₄₇	—	4	1	no	—
281	D₄×C₄₇	—	4	2	no	—
282	D₄×C₄₇	—	4	4	no	—
283	D₄×C₄₇	—	4	2	no	—
284	D₄×C₄₇	—	4	1	no	—
285	D₄×C₄₇	—	4	2	no	—
286	D₄×C₄₇	—	4	1	no	—
287	D₄×C₄₇	—	4	2	no	—
288	D₄×C₄₇	—	4	4	no	—
289	D₄×C₄₇	—	4	2	no	—
290	D₄×C₄₇	—	8	2	no	—
291	D₄×C₄₇	—	8	1	no	—
292	D₄×C₄₇	—	8	2	no	—
293	D₄×C₄₇	—	8	2	no	—
294	D₄×C₄₇	—	8	2	no	—
295	D₄×C₄₇	#99	1	4	yes	—
296	C₂×C₄×C₄₇	—	2	4	no	—
297	C₂×C₄×C₄₇	—	2	4	no	—
298	C₂×C₄×C₄₇	—	2	2	no	—
299	C₂×C₄×C₄₇	—	2	2	no	—
300	C₂×C₄×C₄₇	—	2	2	no	—
301	C₂×C₄×C₄₇	—	2	1	no	—
302	C₂×C₄×C₄₇	—	2	2	no	—
303	C₂×C₄×C₄₇	—	2	1	no	—
304	C₂×C₄×C₄₇	—	2	1	no	—
305	C₂×C₄×C₄₇	—	4	1	no	—
306	C₂×C₄×C₄₇	—	4	1	no	—
307	C₂×C₄×C₄₇	—	4	2	no	—
308	C₂×C₄×C₄₇	—	4	2	no	—
309	C₂×C₄×C₄₇	—	4	2	no	—
310	C₂×C₄×C₄₇	—	4	1	no	—
311	C₂×C₄×C₄₇	—	4	4	no	—
312	C₂×C₄×C₄₇	—	4	2	no	—
313	C₂×C₄×C₄₇	—	8	2	no	—
314	C₂×C₄×C₄₇	—	8	1	no	—
315	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
316	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
317	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
318	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
319	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
320	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
321	C₂×Dic₄₇	—	2	2	no	—
322	C₂×Dic₄₇	—	4	1	no	—
323	C₂×Dic₄₇	—	4	1	no	—
324	C₂×Dic₄₇	—	4	1	no	—
325	C₂×Dic₄₇	—	4	2	no	—
326	C₂×Dic₄₇	—	4	1	no	—
327	C₂×Dic₄₇	—	4	2	no	—
328	C₂×Dic₄₇	—	4	2	no	—
329	C₂×Dic₄₇	—	4	1	no	—
330	C₂×Dic₄₇	—	8	8	no	—
331	C₄₇⋊C₈	—	4	1	no	—
332	C₄₇⋊C₈	—	4	2	no	—
333	C₄₇⋊C₈	—	4	1	no	—
334	#17603	—	47	1	no	maximal, Sylow
335	C₂²×C₄₇	—	2	1	no	—
336	C₂²×C₄₇	—	2	2	no	—
337	C₂²×C₄₇	—	2	1	no	—
338	C₂²×C₄₇	—	2	2	no	—
339	C₂²×C₄₇	—	2	1	no	—
340	C₂²×C₄₇	—	2	1	no	—
341	C₂²×C₄₇	—	2	2	no	—
342	C₂²×C₄₇	—	2	1	no	—
343	C₂²×C₄₇	—	2	2	no	—
344	C₂²×C₄₇	—	2	1	no	—
345	C₂²×C₄₇	—	2	2	no	—
346	C₂²×C₄₇	—	2	1	no	—
347	C₂²×C₄₇	—	2	1	no	—
348	C₂²×C₄₇	—	4	4	no	—
349	C₂²×C₄₇	—	4	4	no	—
350	C₂²×C₄₇	—	4	2	no	—
351	C₂²×C₄₇	—	4	1	no	—
352	C₂²×C₄₇	—	4	1	no	—
353	C₂²×C₄₇	—	4	2	no	—
354	C₂²×C₄₇	—	4	1	no	—
355	C₂²×C₄₇	—	4	2	no	—
356	C₂²×C₄₇	—	8	1	no	—
357	C₂²×C₄₇	—	8	1	no	—
358	C₂²×C₄₇	—	16	4	no	—
359	C₂²×C₄₇	—	16	2	no	—
360	C₂²×C₄₇	C₂×#99	1	4	yes	—
361	C₂²×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
362	C₂²×C₄₇	#576	1	1	yes	characteristic
363	C₂²×C₄₇	#577	1	1	yes	characteristic
364	C₄×C₄₇	—	2	1	no	—
365	C₄×C₄₇	—	2	1	no	—
366	C₄×C₄₇	—	2	2	no	—
367	C₄×C₄₇	—	2	1	no	—
368	C₄×C₄₇	—	2	2	no	—
369	C₄×C₄₇	—	4	1	no	—
370	C₄×C₄₇	—	4	1	no	—
371	C₄×C₄₇	—	4	2	no	—
372	C₄×C₄₇	—	4	1	no	—
373	C₄×C₄₇	C₂×#99	1	2	yes	—
374	Dic₄₇	—	4	2	no	—
375	Dic₄₇	—	8	1	no	—
376	Dic₄₇	—	8	2	no	—
377	#3488	D₄₇	1	1	yes	characteristic
378	#2880	—	47	1	no	—
379	#2339	—	47	1	no	—
380	#1519	—	47	1	no	—
381	#1516	—	47	2	no	—
382	#1513	—	47	1	no	—
383	#1510	—	47	2	no	—
384	#1507	—	47	1	no	—
385	#1504	—	47	2	no	—
386	#1501	—	47	1	no	—
387	C₂×#327	—	47	2	no	—
388	C₂×C₄₇	—	2	1	no	—
389	C₂×C₄₇	—	2	1	no	—
390	C₂×C₄₇	—	2	4	no	—
391	C₂×C₄₇	—	4	2	no	—
392	C₂×C₄₇	—	4	1	no	—
393	C₂×C₄₇	—	4	1	no	—
394	C₂×C₄₇	—	8	1	no	—
395	C₂×C₄₇	—	8	2	no	—
396	C₂×C₄₇	C₂²×#99	1	1	yes	characteristic
397	C₂×C₄₇	#2897	1	1	yes	characteristic
398	C₂×C₄₇	#2901	1	1	yes	characteristic
399	C₂×H(5,𝔽₂)	Dic₄₇	1	1	yes	characteristic, complemented
400	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
401	C₂×#131	—	94	1	no	—
402	#550	—	2	1	no	—
403	#548	—	2	1	no	—
404	#546	—	2	1	no	—
405	#546	—	2	2	no	—
406	D₄²	—	2	1	no	—
407	D₄²	—	2	2	no	—
408	#537	Dic₄₇	1	2	yes	complemented
409	#537	Dic₄₇	1	1	yes	characteristic, complemented
410	#535	Dic₄₇	1	1	yes	characteristic, complemented
411	#535	Dic₄₇	1	2	yes	complemented
412	#525	C₂×D₄₇	1	1	yes	characteristic
413	#525	C₂×D₄₇	1	2	yes	—
414	C₂×#121	C₂×D₄₇	1	2	yes	—
415	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
416	#520	Dic₄₇	1	1	yes	characteristic, complemented
417	C₂×C₄×D₄	—	94	1	no	—
418	#408	—	94	2	no	—
419	#408	—	94	1	no	—
420	#407	—	47	2	no	—
421	#407	—	47	1	no	—
422	C₂×C₂²⋊C₈	—	47	2	no	—
423	C₂×C₂²⋊C₈	—	47	1	no	—
424	#391	—	94	1	no	—
425	#386	—	94	2	no	—
426	#381	—	47	2	no	—
427	#380	—	47	1	no	—
428	C₄×C₂²⋊C₄	—	47	1	no	—
429	C₂×#95	—	47	2	no	—
430	#328	—	47	1	no	—
431	#328	—	47	1	no	—
432	#328	—	47	2	no	—
433	#327	—	47	1	no	—
434	#327	—	47	2	no	—
435	#327	—	47	2	no	—
436	#327	—	47	2	no	—
437	#327	—	47	1	no	—
438	#327	—	47	2	no	—
439	#327	—	47	2	no	—
440	C₄₇	#17603	1	1	yes	characteristic, complemented, Sylow
441	H(5,𝔽₂)	—	4	4	no	—
442	C₂×#41	—	2	1	no	—
443	C₂×#41	—	4	4	no	—
444	C₂×#41	C₂×Dic₄₇	1	1	yes	characteristic
445	C₂×#41	C₂×Dic₄₇	1	2	yes	—
446	C₂×#41	C₂×Dic₄₇	1	1	yes	characteristic
447	C₂×#41	C₂×Dic₄₇	1	2	yes	complemented
448	C₂×#41	C₂×Dic₄₇	1	1	yes	characteristic, complemented
449	C₂×#41	C₂²⋊D₄₇	1	1	yes	characteristic
450	C₂×#41	C₂²⋊D₄₇	1	2	yes	—
451	C₂×#41	C₂²⋊D₄₇	1	1	yes	characteristic
452	C₂²×Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
453	C₂²×D₄	—	2	2	no	—
454	C₂²×D₄	—	2	1	no	—
455	C₂²×D₄	—	2	2	no	—
456	C₂²×D₄	—	2	1	no	—
457	C₂²×D₄	C₂×Dic₄₇	1	2	yes	complemented
458	C₂²×D₄	C₂×Dic₄₇	1	1	yes	characteristic, complemented
459	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
460	C₂²×D₄	C₂²⋊D₄₇	1	2	yes	—
461	C₂³×C₄	—	94	2	no	—
462	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
463	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
464	#131	—	188	4	no	—
465	C₂×M₁₆	—	94	2	no	—
466	C₂×M₁₆	—	94	1	no	—
467	C₂²×C₈	—	94	2	no	—
468	C₂²×C₈	—	94	1	no	—
469	#127	—	2	1	no	—
470	#127	—	2	2	no	—
471	#124	—	2	1	no	—
472	#124	—	2	2	no	—
473	#123	—	2	2	no	—
474	#123	—	2	1	no	—
475	C₂²⋊Q₈	—	2	1	no	—
476	C₂²⋊Q₈	—	2	2	no	—
477	C₂²⋊Q₈	C₂×Dic₄₇	1	1	yes	characteristic, complemented
478	C₂²⋊Q₈	C₂×Dic₄₇	1	2	yes	complemented
479	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
480	#121	—	2	2	no	—
481	#121	—	2	2	no	—
482	#121	—	2	2	no	—
483	#121	—	2	1	no	—
484	#121	—	2	2	no	—
485	#121	—	2	1	no	—
486	#121	—	2	2	no	—
487	#121	—	2	1	no	—
488	#121	—	2	2	no	—
489	#121	C₂×Dic₄₇	1	2	yes	complemented
490	#121	C₂×Dic₄₇	1	2	yes	complemented
491	#121	C₂×Dic₄₇	1	2	yes	complemented
492	#121	C₂×Dic₄₇	1	1	yes	characteristic, complemented
493	#121	C₂×Dic₄₇	1	2	yes	complemented
494	#121	C₂²×D₄₇	1	1	yes	characteristic
495	#121	C₂²×D₄₇	1	2	yes	—
496	#120	—	2	2	no	—
497	#120	—	2	1	no	—
498	#120	—	2	2	no	—
499	#120	—	2	2	no	—
500	#120	—	2	2	no	—
501	C₄×Q₈	—	2	1	no	—
502	C₄×D₄	—	2	2	no	—
503	C₄×D₄	—	2	1	no	—
504	C₄×D₄	—	2	1	no	—
505	C₄×D₄	—	2	2	no	—
506	C₄×D₄	—	2	1	no	—
507	C₄×D₄	—	2	2	no	—
508	C₄×D₄	—	188	4	no	—
509	#117	C₂×Dic₄₇	1	1	yes	characteristic, complemented
510	#117	C₂×Dic₄₇	1	2	yes	complemented
511	C₂×C₄⋊C₄	—	94	1	no	—
512	C₂×C₄⋊C₄	C₂×Dic₄₇	1	2	yes	complemented
513	C₂×C₄⋊C₄	C₂×Dic₄₇	1	1	yes	characteristic, complemented
514	C₂×C₂²⋊C₄	—	2	2	no	—
515	C₂×C₂²⋊C₄	—	2	1	no	—
516	C₂×C₂²⋊C₄	—	94	1	no	—
517	C₂×C₂²⋊C₄	—	94	2	no	—
518	C₂×C₂²⋊C₄	—	94	1	no	—
519	C₂×C₄²	—	94	1	no	—
520	C₂²⋊C₈	—	47	1	no	—
521	C₂²⋊C₈	—	47	2	no	—
522	C₂²⋊C₈	—	47	1	no	—
523	C₂²⋊C₈	—	94	1	no	—
524	C₂²⋊C₈	—	94	2	no	—
525	C₂²⋊C₈	—	94	1	no	—
526	C₂²⋊C₈	—	94	2	no	—
527	#95	—	47	1	no	—
528	#95	—	47	2	no	—
529	#95	—	47	1	no	—
530	#95	—	94	2	no	—
531	#95	—	94	2	no	—
532	C₂⁴	—	2	1	no	—
533	C₂⁴	—	2	2	no	—
534	C₂⁴	C₂×C₂²⋊D₄₇	1	2	yes	—
535	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
536	#41	—	2	4	no	—
537	#41	—	2	4	no	—
538	#41	—	4	4	no	—
539	#41	—	4	4	no	—
540	#41	—	4	2	no	—
541	#41	—	4	2	no	—
542	#41	—	4	4	no	—
543	#41	—	4	2	no	—
544	#41	—	4	4	no	—
545	C₂×Q₈	—	4	2	no	—
546	C₂×Q₈	C₂²⋊Dic₄₇	1	1	yes	characteristic
547	C₂×Q₈	C₂²⋊Dic₄₇	1	1	yes	characteristic
548	C₂×Q₈	C₂²⋊Dic₄₇	1	2	yes	—
549	C₂×Q₈	C₂²×Dic₄₇	1	1	yes	characteristic
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	2	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	2	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	2	no	—
558	C₂×D₄	—	2	2	no	—
559	C₂×D₄	—	2	2	no	—
560	C₂×D₄	—	2	2	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	4	4	no	—
563	C₂×D₄	—	4	2	no	—
564	C₂×D₄	—	4	4	no	—
565	C₂×D₄	—	4	8	no	—
566	C₂×D₄	—	4	4	no	—
567	C₂×D₄	—	8	2	no	—
568	C₂×D₄	—	8	1	no	—
569	C₂×D₄	—	8	2	no	—
570	C₂×D₄	—	8	1	no	—
571	C₂×D₄	C₂²⋊Dic₄₇	1	2	yes	—
572	C₂×D₄	C₂²⋊Dic₄₇	1	2	yes	—
573	C₂×D₄	C₂²⋊Dic₄₇	1	2	yes	—
574	C₂×D₄	C₂²⋊Dic₄₇	1	1	yes	characteristic
575	C₂×D₄	C₂²⋊Dic₄₇	1	2	yes	—
576	C₂×D₄	C₂²⋊Dic₄₇	1	2	yes	—
577	C₂×D₄	C₂²⋊Dic₄₇	1	1	yes	characteristic
578	C₂×D₄	C₂²×Dic₄₇	1	1	yes	characteristic
579	C₂×D₄	C₂²×Dic₄₇	1	2	yes	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	4	2	no	—
585	C₂²×C₄	—	4	4	no	—
586	C₂²×C₄	—	94	1	no	—
587	C₂²×C₄	—	94	1	no	—
588	C₂²×C₄	—	94	2	no	—
589	C₂²×C₄	—	376	2	no	—
590	C₂²×C₄	—	188	4	no	—
591	C₂²×C₄	—	188	4	no	—
592	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
593	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
594	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
595	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
596	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
597	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
598	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
599	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
600	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
601	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
602	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
603	M₁₆	—	188	4	no	—
604	M₁₆	—	188	2	no	—
605	C₂×C₈	—	94	1	no	—
606	C₂×C₈	—	94	2	no	—
607	C₂×C₈	—	94	1	no	—
608	C₂×C₈	—	188	4	no	—
609	C₂×C₈	—	188	2	no	—
610	C₄⋊C₄	—	2	2	no	—
611	C₄⋊C₄	—	2	1	no	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	188	2	no	—
616	C₄⋊C₄	C₂²×Dic₄₇	1	1	yes	characteristic
617	C₄⋊C₄	C₂²×Dic₄₇	1	2	yes	—
618	C₄⋊C₄	C₂²×Dic₄₇	1	1	yes	characteristic
619	C₂²⋊C₄	—	2	1	no	—
620	C₂²⋊C₄	—	2	2	no	—
621	C₂²⋊C₄	—	2	1	no	—
622	C₂²⋊C₄	—	2	2	no	—
623	C₂²⋊C₄	—	2	1	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	2	no	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	1	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	1	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	376	1	no	—
632	C₂²⋊C₄	—	188	2	no	—
633	C₂²⋊C₄	—	188	4	no	—
634	C₄²	—	2	2	no	—
635	C₄²	—	2	1	no	—
636	C₄²	—	188	2	no	—
637	C₂³	—	2	4	no	—
638	C₂³	—	2	2	no	—
639	C₂³	—	2	2	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	2	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	4	2	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	2	no	—
648	C₂³	—	4	4	no	—
649	C₂³	—	8	2	no	—
650	C₂³	—	8	1	no	—
651	C₂³	—	8	2	no	—
652	C₂³	—	8	1	no	—
653	C₂³	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
654	C₂³	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
655	C₂³	C₂×C₂²⋊Dic₄₇	1	2	yes	—
656	C₂³	C₂×C₂²⋊Dic₄₇	1	2	yes	—
657	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
658	Q₈	—	2	2	no	—
659	Q₈	—	2	2	no	—
660	Q₈	—	4	2	no	—
661	Q₈	—	4	1	no	—
662	D₄	—	2	4	no	—
663	D₄	—	2	4	no	—
664	D₄	—	2	4	no	—
665	D₄	—	2	2	no	—
666	D₄	—	4	2	no	—
667	D₄	—	4	2	no	—
668	D₄	—	4	1	no	—
669	D₄	—	4	2	no	—
670	D₄	—	4	4	no	—
671	D₄	—	4	2	no	—
672	D₄	—	4	4	no	—
673	D₄	—	4	1	no	—
674	D₄	—	4	2	no	—
675	D₄	—	4	1	no	—
676	D₄	—	4	2	no	—
677	D₄	—	4	2	no	—
678	D₄	—	8	2	no	—
679	D₄	—	8	1	no	—
680	D₄	—	8	2	no	—
681	D₄	—	8	2	no	—
682	D₄	—	8	2	no	—
683	D₄	#13093939	1	4	yes	—
684	C₂×C₄	—	2	4	no	—
685	C₂×C₄	—	2	4	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	2	no	—
696	C₂×C₄	—	4	2	no	—
697	C₂×C₄	—	4	2	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	4	no	—
700	C₂×C₄	—	4	2	no	—
701	C₂×C₄	—	8	2	no	—
702	C₂×C₄	—	8	1	no	—
703	C₂×C₄	—	94	2	no	—
704	C₂×C₄	—	376	8	no	—
705	C₂×C₄	—	188	1	no	—
706	C₂×C₄	—	188	2	no	—
707	C₂×C₄	—	188	1	no	—
708	C₂×C₄	—	188	2	no	—
709	C₂×C₄	—	188	2	no	—
710	C₂×C₄	—	188	1	no	—
711	C₂×C₄	—	188	1	no	—
712	C₂×C₄	—	188	1	no	—
713	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	2	yes	—
714	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
715	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	2	yes	—
716	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
717	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
718	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
719	C₈	—	188	1	no	—
720	C₈	—	188	2	no	—
721	C₈	—	188	1	no	—
722	C₂²	—	2	2	no	—
723	C₂²	—	2	1	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	1	no	—
726	C₂²	—	2	1	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	1	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	2	1	no	—
731	C₂²	—	2	1	no	—
732	C₂²	—	2	1	no	—
733	C₂²	—	2	1	no	—
734	C₂²	—	2	2	no	—
735	C₂²	—	4	4	no	—
736	C₂²	—	4	4	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	1	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	4	2	no	—
742	C₂²	—	4	1	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	16	4	no	—
746	C₂²	—	16	2	no	—
747	C₂²	C₂×#13093939	1	4	yes	—
748	C₂²	C₂²×C₂²⋊Dic₄₇	1	1	yes	characteristic
749	C₂²	#15689926	1	1	yes	characteristic
750	C₂²	#15689934	1	1	yes	characteristic
751	C₄	—	2	1	no	—
752	C₄	—	2	1	no	—
753	C₄	—	2	2	no	—
754	C₄	—	2	1	no	—
755	C₄	—	2	2	no	—
756	C₄	—	4	1	no	—
757	C₄	—	4	2	no	—
758	C₄	—	4	1	no	—
759	C₄	—	4	1	no	—
760	C₄	—	376	2	no	—
761	C₄	—	376	1	no	—
762	C₄	—	188	2	no	—
763	C₄	C₂×#13093939	1	2	yes	—
764	C₂	—	2	1	no	—
765	C₂	—	2	1	no	—
766	C₂	—	2	4	no	—
767	C₂	—	4	2	no	—
768	C₂	—	4	1	no	—
769	C₂	—	4	1	no	—
770	C₂	—	8	1	no	—
771	C₂	—	8	2	no	—
772	C₂	C₂²×#13093939	1	1	yes	characteristic
773	C₂	#20251914	1	1	yes	characteristic
774	C₂	#20251935	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊Dic₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting, prime radical	C₄₇×#3488	C₂
socle	C₂²×C₄₇	C₂²×C₂²⋊C₄
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#3488	D₄₇
hypocenter	C₄₇	#17603
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂²×#41 ◁ #3488

Complements

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

N	H ≅ G/N	type
1. #20251837	C₂	semidirect
2. #20246218	C₂	semidirect
3. #20241956	C₂	semidirect
4. #20241944	C₂	semidirect
5. #20241931	C₂	semidirect
6. #20241917	C₂	semidirect
7. #20241904	C₂	semidirect
8. #20241892	C₂	semidirect
9. #20241879	C₂	semidirect
10. C₂×#15688857	C₂	semidirect
16. #15689087	C₂²	semidirect
17. #15689087	C₂²	semidirect
18. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
19. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
22. #15688986	C₂²	semidirect
23. #15688983	C₂²	semidirect
24. C₄×C₂²⋊Dic₄₇	C₂²	semidirect
25. C₂×C₄₇⋊#95	C₂²	semidirect
26. #15688860	C₂²	semidirect
27. #15688860	C₂²	semidirect
28. #15688860	C₂²	semidirect
29. #15688857	C₂²	semidirect
30. #15688857	C₂²	semidirect
31. #15688857	C₂²	semidirect
32. #15688857	C₂²	semidirect
33. #15688857	C₂²	semidirect
34. #15688857	C₂²	semidirect
35. #15688857	C₂²	semidirect
36. C₂×H(5,𝔽₂)×C₄₇	C₄	semidirect
44. C₄₇×#537	C₄	semidirect
45. C₄₇×#537	C₄	semidirect
46. C₄₇×#535	C₄	semidirect
47. C₄₇×#535	C₄	semidirect
52. C₄₇×#520	C₄	semidirect
83. C₂×#41×C₄₇	C₂×C₄	semidirect
84. C₂×#41×C₄₇	C₂×C₄	semidirect
93. C₂²×D₄×C₄₇	C₂×C₄	semidirect
94. C₂²×D₄×C₄₇	C₂×C₄	semidirect
107. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
108. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
119. #121×C₄₇	C₂×C₄	semidirect
120. #121×C₄₇	C₂×C₄	semidirect
121. #121×C₄₇	C₂×C₄	semidirect
122. #121×C₄₇	C₂×C₄	semidirect
123. #121×C₄₇	C₂×C₄	semidirect
138. #117×C₄₇	C₂×C₄	semidirect
139. #117×C₄₇	C₂×C₄	semidirect
140. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
141. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
399. C₂×H(5,𝔽₂)	Dic₄₇	semidirect
408. #537	Dic₄₇	semidirect
409. #537	Dic₄₇	semidirect
410. #535	Dic₄₇	semidirect
411. #535	Dic₄₇	semidirect
416. #520	Dic₄₇	semidirect
440. C₄₇	#17603	semidirect
447. C₂×#41	C₂×Dic₄₇	semidirect
448. C₂×#41	C₂×Dic₄₇	semidirect
457. C₂²×D₄	C₂×Dic₄₇	semidirect
458. C₂²×D₄	C₂×Dic₄₇	semidirect
477. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
478. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
489. #121	C₂×Dic₄₇	semidirect
490. #121	C₂×Dic₄₇	semidirect
491. #121	C₂×Dic₄₇	semidirect
492. #121	C₂×Dic₄₇	semidirect
493. #121	C₂×Dic₄₇	semidirect
509. #117	C₂×Dic₄₇	semidirect
510. #117	C₂×Dic₄₇	semidirect
512. C₂×C₄⋊C₄	C₂×Dic₄₇	semidirect
513. C₂×C₄⋊C₄	C₂×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20251837	2
#20246218	2
#20241956	2
#20241944	2
#20241931	2
#20241917	2
#20241904	2
#20241892	2
#20241879	2
C₂×#15688857	2
C₄₇×#3488	2
#17603	47