Subgroups — C₄₇×#60318 #26100016

Order 12032.

1812 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3529	C₂	1	1	yes	maximal, characteristic
2	C₄₇×#2995	C₂	1	2	yes	maximal, complemented
3	C₄₇×#2993	C₂	1	4	yes	maximal, complemented
4	C₄₇×#2980	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₇×#2979	C₂	1	2	yes	maximal, complemented
6	C₄₇×#2977	C₂	1	2	yes	maximal, complemented
7	C₄₇×#2976	C₂	1	4	yes	maximal, complemented
8	C₄₇×#2968	C₂	1	4	yes	maximal, complemented
9	C₄₇×#2966	C₂	1	2	yes	maximal, complemented
10	C₄₇×#2933	C₂	1	4	yes	maximal, complemented
11	C₄₇×#2932	C₂	1	2	yes	maximal, complemented
12	C₄₇×#2931	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₇×#2930	C₂	1	2	yes	maximal, complemented
14	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic
15	C₂×#131×C₄₇	C₂²	1	2	yes	—
16	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic, complemented
17	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	complemented
18	C₄₇×#563	C₄	1	2	yes	—
19	C₄₇×#563	C₄	1	1	yes	characteristic
20	C₄₇×#562	C₄	1	4	yes	—
21	C₄₇×#562	C₄	1	2	yes	—
22	C₄₇×H(3,𝔽₄)	C₄	1	1	yes	characteristic
23	C₄₇×#560	C₄	1	4	yes	—
24	C₄₇×#560	C₄	1	2	yes	—
25	C₄₇×#532	C₂²	1	1	yes	characteristic
26	C₄₇×#532	C₂²	1	2	yes	—
27	C₄₇×#529	C₂²	1	2	yes	—
28	C₄₇×#529	C₂²	1	4	yes	—
29	C₄₇×#525	C₂²	1	2	yes	—
30	C₄₇×#525	C₂²	1	4	yes	—
31	C₄₇×#446	C₂²	1	2	yes	complemented
32	C₄₇×#446	C₂²	1	4	yes	complemented
33	C₈×Q₈×C₄₇	C₂²	1	2	yes	complemented
34	C₄₇×#436	C₂²	1	4	yes	—
35	C₄₇×#436	C₂²	1	2	yes	—
36	C₄₇×#436	C₂²	1	4	yes	complemented
37	C₄₇×#436	C₂²	1	4	yes	complemented
38	C₄₇×#436	C₂²	1	4	yes	complemented
39	C₄₇×#435	C₂²	1	4	yes	—
40	C₄₇×#435	C₂²	1	4	yes	—
41	C₄₇×#435	C₂²	1	4	yes	—
42	C₄₇×#435	C₂²	1	4	yes	complemented
43	C₄₇×#435	C₂²	1	4	yes	complemented
44	C₄₇×#435	C₂²	1	4	yes	complemented
45	C₄₇×#435	C₂²	1	4	yes	complemented
46	C₄₇×#435	C₂²	1	4	yes	complemented
47	C₄₇×#435	C₂²	1	4	yes	complemented
48	C₈×D₄×C₄₇	C₂²	1	4	yes	—
49	C₈×D₄×C₄₇	C₂²	1	2	yes	—
50	C₈×D₄×C₄₇	C₂²	1	4	yes	complemented
51	C₈×D₄×C₄₇	C₂²	1	4	yes	complemented
52	C₈×D₄×C₄₇	C₂²	1	4	yes	complemented
53	C₄₇×#433	C₂²	1	4	yes	complemented
54	C₄₇×#433	C₂²	1	4	yes	complemented
55	C₄₇×#433	C₂²	1	4	yes	complemented
56	C₄₇×#432	C₂²	1	2	yes	complemented
57	C₄₇×#431	C₂²	1	4	yes	complemented
58	C₄₇×#424	C₂²	1	2	yes	complemented
59	C₄₇×#424	C₂²	1	4	yes	complemented
60	C₄₇×#423	C₂²	1	1	yes	characteristic, complemented
61	C₄₇×#423	C₂²	1	2	yes	complemented
62	C₄₇×#408	C₂²	1	2	yes	—
63	C₄₇×#408	C₂²	1	1	yes	characteristic
64	C₄₇×#408	C₂²	1	2	yes	—
65	C₄₇×#408	C₂²	1	4	yes	—
66	C₄₇×#408	C₂²	1	1	yes	characteristic, complemented
67	C₄₇×#408	C₂²	1	2	yes	complemented
68	C₄₇×#407	C₂²	1	2	yes	complemented
69	C₂×C₂²⋊C₈×C₄₇	C₂²	1	4	yes	complemented
70	C₄₇×#405	C₂²	1	2	yes	complemented
71	C₄₇×#405	C₂²	1	4	yes	complemented
72	C₂×#97×C₄₇	C₂²	1	2	yes	complemented
73	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
74	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
75	C₂×#41×C₄₇	C₂³	1	2	yes	—
76	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
77	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
78	#131×C₄₇	—	4	2	no	—
79	#131×C₄₇	—	4	2	no	—
80	#131×C₄₇	—	4	4	no	—
81	C₂×M₁₆×C₄₇	—	4	4	no	—
82	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
83	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
84	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
85	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
86	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
87	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
88	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
89	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
90	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
91	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
93	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
94	C₂²×C₈×C₄₇	C₂³	1	4	yes	—
95	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
96	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
97	C₂²×C₈×C₄₇	C₂³	1	4	yes	—
98	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
99	C₄⋊Q₈×C₄₇	C₂×C₄	1	2	yes	—
100	#127×C₄₇	C₂×C₄	1	1	yes	characteristic
101	#127×C₄₇	C₂×C₄	1	2	yes	—
102	#126×C₄₇	C₂×C₄	1	4	yes	—
103	#126×C₄₇	C₂×C₄	1	4	yes	—
104	#126×C₄₇	C₂×C₄	1	4	yes	—
105	#125×C₄₇	C₂×C₄	1	2	yes	—
106	#125×C₄₇	C₂×C₄	1	4	yes	—
107	#124×C₄₇	C₂×C₄	1	2	yes	—
108	#124×C₄₇	C₂×C₄	1	4	yes	—
109	#124×C₄₇	C₂×C₄	1	1	yes	characteristic
110	#124×C₄₇	C₂×C₄	1	2	yes	—
111	#124×C₄₇	C₂×C₄	1	1	yes	characteristic
112	#124×C₄₇	C₂×C₄	1	2	yes	—
113	#123×C₄₇	C₂×C₄	1	2	yes	—
114	#123×C₄₇	C₂×C₄	1	4	yes	—
115	#123×C₄₇	C₂×C₄	1	2	yes	—
116	#123×C₄₇	C₂×C₄	1	4	yes	—
117	#123×C₄₇	C₂×C₄	1	4	yes	—
118	#123×C₄₇	C₂×C₄	1	4	yes	—
119	#123×C₄₇	C₂×C₄	1	4	yes	—
120	C₂²⋊Q₈×C₄₇	C₂×C₄	1	4	yes	—
121	C₂²⋊Q₈×C₄₇	C₂×C₄	1	4	yes	—
122	C₂²⋊Q₈×C₄₇	C₂×C₄	1	4	yes	—
123	C₂²⋊Q₈×C₄₇	C₂×C₄	1	2	yes	—
124	C₂²⋊Q₈×C₄₇	C₂×C₄	1	4	yes	—
125	#121×C₄₇	C₂×C₄	1	4	yes	—
126	#121×C₄₇	C₂×C₄	1	4	yes	—
127	#121×C₄₇	C₂×C₄	1	4	yes	—
128	#121×C₄₇	C₂×C₄	1	2	yes	—
129	#121×C₄₇	C₂×C₄	1	4	yes	—
130	#121×C₄₇	C₂×C₄	1	4	yes	—
131	#121×C₄₇	C₂×C₄	1	4	yes	—
132	#121×C₄₇	C₂×C₄	1	4	yes	—
133	#120×C₄₇	C₂×C₄	1	2	yes	—
134	#120×C₄₇	C₂×C₄	1	4	yes	—
135	#120×C₄₇	C₂×C₄	1	2	yes	—
136	#120×C₄₇	C₂×C₄	1	4	yes	—
137	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
138	C₄×D₄×C₄₇	C₂³	1	4	yes	—
139	C₄×D₄×C₄₇	C₂³	1	2	yes	—
140	C₄×D₄×C₄₇	C₂³	1	4	yes	—
141	C₄×D₄×C₄₇	C₂³	1	4	yes	—
142	C₄×D₄×C₄₇	C₂³	1	4	yes	—
143	#117×C₄₇	C₂³	1	2	yes	—
144	#117×C₄₇	C₂³	1	4	yes	—
145	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
146	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
147	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
148	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
149	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
150	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
151	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
152	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
153	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
154	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
155	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
156	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
157	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
158	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
159	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
160	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
161	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
162	C₂²⋊C₈×C₄₇	C₂³	1	4	yes	—
163	#97×C₄₇	C₂³	1	4	yes	—
164	#97×C₄₇	C₂³	1	4	yes	—
165	#97×C₄₇	C₂³	1	4	yes	—
166	C₄×C₈×C₄₇	C₂³	1	2	yes	—
167	C₄×C₈×C₄₇	C₂³	1	2	yes	—
168	C₄×C₈×C₄₇	C₂³	1	4	yes	—
169	C₄×C₈×C₄₇	C₂³	1	4	yes	—
170	C₂⁴×C₄₇	C₂²×C₄	1	2	yes	—
171	#41×C₄₇	—	4	1	no	—
172	#41×C₄₇	—	4	1	no	—
173	#41×C₄₇	—	4	2	no	—
174	#41×C₄₇	—	4	2	no	—
175	#41×C₄₇	—	4	1	no	—
176	#41×C₄₇	—	4	1	no	—
177	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
178	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
179	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
180	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
181	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
182	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
183	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
184	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
185	C₂×D₄×C₄₇	C₂²×C₄	1	4	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	4	yes	—
190	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
191	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
192	C₂²×C₄×C₄₇	—	4	2	no	—
193	C₂²×C₄×C₄₇	—	4	2	no	—
194	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
195	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
196	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
197	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
198	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
202	M₁₆×C₄₇	—	2	8	no	—
203	M₁₆×C₄₇	—	4	4	no	—
204	M₁₆×C₄₇	—	4	2	no	—
205	M₁₆×C₄₇	—	4	1	no	—
206	M₁₆×C₄₇	—	4	2	no	—
207	M₁₆×C₄₇	—	4	2	no	—
208	M₁₆×C₄₇	—	4	1	no	—
209	M₁₆×C₄₇	—	4	2	no	—
210	C₂×C₈×C₄₇	—	2	4	no	—
211	C₂×C₈×C₄₇	—	2	4	no	—
212	C₂×C₈×C₄₇	—	2	2	no	—
213	C₂×C₈×C₄₇	—	4	1	no	—
214	C₂×C₈×C₄₇	—	4	4	no	—
215	C₂×C₈×C₄₇	—	4	2	no	—
216	C₂×C₈×C₄₇	—	4	2	no	—
217	C₂×C₈×C₄₇	—	4	4	no	—
218	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
219	C₂×C₈×C₄₇	C₂⁴	1	4	yes	—
220	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
221	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
222	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
223	C₂×C₈×C₄₇	C₂⁴	1	4	yes	—
224	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
225	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
226	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
227	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
228	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
229	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
230	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
231	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
232	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
233	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
234	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
235	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
236	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
237	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
238	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
239	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
240	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
241	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
242	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
243	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
244	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
245	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
246	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
247	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
248	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
249	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
250	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
251	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
252	C₄²×C₄₇	C₂⁴	1	4	yes	—
253	C₄²×C₄₇	C₂⁴	1	2	yes	—
254	C₂³×C₄₇	—	4	2	no	—
255	C₂³×C₄₇	—	4	4	no	—
256	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
257	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
258	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
259	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
260	Q₈×C₄₇	—	4	2	no	—
261	Q₈×C₄₇	—	4	1	no	—
262	Q₈×C₄₇	—	4	2	no	—
263	Q₈×C₄₇	—	4	1	no	—
264	D₄×C₄₇	—	4	4	no	—
265	D₄×C₄₇	—	4	4	no	—
266	D₄×C₄₇	—	4	4	no	—
267	D₄×C₄₇	—	4	4	no	—
268	D₄×C₄₇	—	4	2	no	—
269	D₄×C₄₇	—	4	2	no	—
270	D₄×C₄₇	—	4	4	no	—
271	D₄×C₄₇	—	4	1	no	—
272	D₄×C₄₇	—	4	2	no	—
273	D₄×C₄₇	—	4	2	no	—
274	D₄×C₄₇	—	4	1	no	—
275	C₂×C₄×C₄₇	—	2	2	no	—
276	C₂×C₄×C₄₇	—	2	2	no	—
277	C₂×C₄×C₄₇	—	2	1	no	—
278	C₂×C₄×C₄₇	—	2	4	no	—
279	C₂×C₄×C₄₇	—	2	4	no	—
280	C₂×C₄×C₄₇	—	2	1	no	—
281	C₂×C₄×C₄₇	—	2	2	no	—
282	C₂×C₄×C₄₇	—	2	2	no	—
283	C₂×C₄×C₄₇	—	4	4	no	—
284	C₂×C₄×C₄₇	—	4	2	no	—
285	C₂×C₄×C₄₇	—	4	2	no	—
286	C₂×C₄×C₄₇	—	4	4	no	—
287	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
288	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
289	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
290	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
291	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
292	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
293	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
294	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
295	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
296	C₈×C₄₇	—	2	2	no	—
297	C₈×C₄₇	—	2	2	no	—
298	C₈×C₄₇	—	2	1	no	—
299	C₈×C₄₇	—	2	4	no	—
300	C₈×C₄₇	—	2	2	no	—
301	C₈×C₄₇	—	2	4	no	—
302	C₈×C₄₇	H(5,𝔽₂)	1	2	yes	—
303	#60318	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
304	C₂²×C₄₇	—	2	2	no	—
305	C₂²×C₄₇	—	2	4	no	—
306	C₂²×C₄₇	—	2	2	no	—
307	C₂²×C₄₇	—	2	1	no	—
308	C₂²×C₄₇	—	2	2	no	—
309	C₂²×C₄₇	—	2	4	no	—
310	C₂²×C₄₇	—	2	4	no	—
311	C₂²×C₄₇	—	2	4	no	—
312	C₂²×C₄₇	—	2	4	no	—
313	C₂²×C₄₇	—	8	4	no	—
314	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
315	C₄×C₄₇	—	2	2	no	—
316	C₄×C₄₇	—	2	4	no	—
317	C₄×C₄₇	—	2	2	no	—
318	C₄×C₄₇	—	2	1	no	—
319	C₄×C₄₇	—	2	2	no	—
320	C₄×C₄₇	—	2	4	no	—
321	C₄×C₄₇	—	2	2	no	—
322	C₄×C₄₇	—	2	4	no	—
323	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
324	C₄×C₄₇	#585	1	1	yes	characteristic
325	#3529	C₂×C₄₇	1	1	yes	characteristic
326	#2995	C₂×C₄₇	1	2	yes	complemented
327	#2993	C₂×C₄₇	1	4	yes	complemented
328	#2980	C₂×C₄₇	1	1	yes	characteristic, complemented
329	#2979	C₂×C₄₇	1	2	yes	complemented
330	#2977	C₂×C₄₇	1	2	yes	complemented
331	#2976	C₂×C₄₇	1	4	yes	complemented
332	#2968	C₂×C₄₇	1	4	yes	complemented
333	#2966	C₂×C₄₇	1	2	yes	complemented
334	#2933	C₂×C₄₇	1	4	yes	complemented
335	#2932	C₂×C₄₇	1	2	yes	complemented
336	#2931	C₂×C₄₇	1	1	yes	characteristic, complemented
337	#2930	C₂×C₄₇	1	2	yes	complemented
338	C₂×C₄₇	—	4	2	no	—
339	C₂×C₄₇	—	4	1	no	—
340	C₂×C₄₇	—	4	2	no	—
341	C₂×C₄₇	—	4	4	no	—
342	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
343	C₂×C₄₇	#3573	1	2	yes	—
344	C₂×#131	C₂²×C₄₇	1	1	yes	characteristic
345	C₂×#131	C₂²×C₄₇	1	2	yes	—
346	C₂×#131	C₂²×C₄₇	1	1	yes	characteristic, complemented
347	C₂²×M₁₆	C₂²×C₄₇	1	2	yes	complemented
348	#563	C₄×C₄₇	1	2	yes	—
349	#563	C₄×C₄₇	1	1	yes	characteristic
350	#562	C₄×C₄₇	1	4	yes	—
351	#562	C₄×C₄₇	1	2	yes	—
352	H(3,𝔽₄)	C₄×C₄₇	1	1	yes	characteristic
353	#560	C₄×C₄₇	1	4	yes	—
354	#560	C₄×C₄₇	1	2	yes	—
355	#532	C₂²×C₄₇	1	1	yes	characteristic
356	#532	C₂²×C₄₇	1	2	yes	—
357	#529	C₂²×C₄₇	1	2	yes	—
358	#529	C₂²×C₄₇	1	4	yes	—
359	#525	C₂²×C₄₇	1	2	yes	—
360	#525	C₂²×C₄₇	1	4	yes	—
361	#446	C₂²×C₄₇	1	2	yes	complemented
362	#446	C₂²×C₄₇	1	4	yes	complemented
363	C₈×Q₈	C₂²×C₄₇	1	2	yes	complemented
364	#436	C₂²×C₄₇	1	4	yes	—
365	#436	C₂²×C₄₇	1	2	yes	—
366	#436	C₂²×C₄₇	1	4	yes	complemented
367	#436	C₂²×C₄₇	1	4	yes	complemented
368	#436	C₂²×C₄₇	1	4	yes	complemented
369	#435	C₂²×C₄₇	1	4	yes	—
370	#435	C₂²×C₄₇	1	4	yes	—
371	#435	C₂²×C₄₇	1	4	yes	—
372	#435	C₂²×C₄₇	1	4	yes	complemented
373	#435	C₂²×C₄₇	1	4	yes	complemented
374	#435	C₂²×C₄₇	1	4	yes	complemented
375	#435	C₂²×C₄₇	1	4	yes	complemented
376	#435	C₂²×C₄₇	1	4	yes	complemented
377	#435	C₂²×C₄₇	1	4	yes	complemented
378	C₈×D₄	C₂²×C₄₇	1	4	yes	—
379	C₈×D₄	C₂²×C₄₇	1	2	yes	—
380	C₈×D₄	C₂²×C₄₇	1	4	yes	complemented
381	C₈×D₄	C₂²×C₄₇	1	4	yes	complemented
382	C₈×D₄	C₂²×C₄₇	1	4	yes	complemented
383	#433	C₂²×C₄₇	1	4	yes	complemented
384	#433	C₂²×C₄₇	1	4	yes	complemented
385	#433	C₂²×C₄₇	1	4	yes	complemented
386	#432	C₂²×C₄₇	1	2	yes	complemented
387	#431	C₂²×C₄₇	1	4	yes	complemented
388	#424	C₂²×C₄₇	1	2	yes	complemented
389	#424	C₂²×C₄₇	1	4	yes	complemented
390	#423	C₂²×C₄₇	1	1	yes	characteristic, complemented
391	#423	C₂²×C₄₇	1	2	yes	complemented
392	#408	C₂²×C₄₇	1	2	yes	—
393	#408	C₂²×C₄₇	1	1	yes	characteristic
394	#408	C₂²×C₄₇	1	2	yes	—
395	#408	C₂²×C₄₇	1	4	yes	—
396	#408	C₂²×C₄₇	1	1	yes	characteristic, complemented
397	#408	C₂²×C₄₇	1	2	yes	complemented
398	#407	C₂²×C₄₇	1	2	yes	complemented
399	C₂×C₂²⋊C₈	C₂²×C₄₇	1	4	yes	complemented
400	#405	C₂²×C₄₇	1	2	yes	complemented
401	#405	C₂²×C₄₇	1	4	yes	complemented
402	C₂×#97	C₂²×C₄₇	1	2	yes	complemented
403	C₂×C₄×C₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
404	C₄₇	#60318	1	1	yes	characteristic, direct product factor, Sylow
405	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
406	C₂×#41	C₂³×C₄₇	1	2	yes	—
407	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
408	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
409	#131	—	4	2	no	—
410	#131	—	4	2	no	—
411	#131	—	4	4	no	—
412	C₂×M₁₆	—	4	4	no	—
413	C₂×M₁₆	C₂³×C₄₇	1	4	yes	—
414	C₂×M₁₆	C₂³×C₄₇	1	4	yes	—
415	C₂×M₁₆	C₂³×C₄₇	1	2	yes	—
416	C₂×M₁₆	C₂³×C₄₇	1	2	yes	—
417	C₂×M₁₆	C₂³×C₄₇	1	1	yes	characteristic
418	C₂×M₁₆	C₂³×C₄₇	1	1	yes	characteristic
419	C₂×M₁₆	C₂³×C₄₇	1	2	yes	—
420	C₂×M₁₆	C₂³×C₄₇	1	2	yes	—
421	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
422	C₂²×C₈	C₂³×C₄₇	1	1	yes	characteristic
423	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
424	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
425	C₂²×C₈	C₂³×C₄₇	1	4	yes	—
426	C₂²×C₈	C₂³×C₄₇	1	1	yes	characteristic
427	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
428	C₂²×C₈	C₂³×C₄₇	1	4	yes	—
429	C₄⋊Q₈	C₂×C₄×C₄₇	1	1	yes	characteristic
430	C₄⋊Q₈	C₂×C₄×C₄₇	1	2	yes	—
431	#127	C₂×C₄×C₄₇	1	1	yes	characteristic
432	#127	C₂×C₄×C₄₇	1	2	yes	—
433	#126	C₂×C₄×C₄₇	1	4	yes	—
434	#126	C₂×C₄×C₄₇	1	4	yes	—
435	#126	C₂×C₄×C₄₇	1	4	yes	—
436	#125	C₂×C₄×C₄₇	1	2	yes	—
437	#125	C₂×C₄×C₄₇	1	4	yes	—
438	#124	C₂×C₄×C₄₇	1	2	yes	—
439	#124	C₂×C₄×C₄₇	1	4	yes	—
440	#124	C₂×C₄×C₄₇	1	1	yes	characteristic
441	#124	C₂×C₄×C₄₇	1	2	yes	—
442	#124	C₂×C₄×C₄₇	1	1	yes	characteristic
443	#124	C₂×C₄×C₄₇	1	2	yes	—
444	#123	C₂×C₄×C₄₇	1	2	yes	—
445	#123	C₂×C₄×C₄₇	1	4	yes	—
446	#123	C₂×C₄×C₄₇	1	2	yes	—
447	#123	C₂×C₄×C₄₇	1	4	yes	—
448	#123	C₂×C₄×C₄₇	1	4	yes	—
449	#123	C₂×C₄×C₄₇	1	4	yes	—
450	#123	C₂×C₄×C₄₇	1	4	yes	—
451	C₂²⋊Q₈	C₂×C₄×C₄₇	1	4	yes	—
452	C₂²⋊Q₈	C₂×C₄×C₄₇	1	4	yes	—
453	C₂²⋊Q₈	C₂×C₄×C₄₇	1	4	yes	—
454	C₂²⋊Q₈	C₂×C₄×C₄₇	1	2	yes	—
455	C₂²⋊Q₈	C₂×C₄×C₄₇	1	4	yes	—
456	#121	C₂×C₄×C₄₇	1	4	yes	—
457	#121	C₂×C₄×C₄₇	1	4	yes	—
458	#121	C₂×C₄×C₄₇	1	4	yes	—
459	#121	C₂×C₄×C₄₇	1	2	yes	—
460	#121	C₂×C₄×C₄₇	1	4	yes	—
461	#121	C₂×C₄×C₄₇	1	4	yes	—
462	#121	C₂×C₄×C₄₇	1	4	yes	—
463	#121	C₂×C₄×C₄₇	1	4	yes	—
464	#120	C₂×C₄×C₄₇	1	2	yes	—
465	#120	C₂×C₄×C₄₇	1	4	yes	—
466	#120	C₂×C₄×C₄₇	1	2	yes	—
467	#120	C₂×C₄×C₄₇	1	4	yes	—
468	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
469	C₄×D₄	C₂³×C₄₇	1	4	yes	—
470	C₄×D₄	C₂³×C₄₇	1	2	yes	—
471	C₄×D₄	C₂³×C₄₇	1	4	yes	—
472	C₄×D₄	C₂³×C₄₇	1	4	yes	—
473	C₄×D₄	C₂³×C₄₇	1	4	yes	—
474	#117	C₂³×C₄₇	1	2	yes	—
475	#117	C₂³×C₄₇	1	4	yes	—
476	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
477	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
478	C₄⋊C₈	C₂³×C₄₇	1	4	yes	—
479	C₄⋊C₈	C₂³×C₄₇	1	4	yes	—
480	C₄⋊C₈	C₂³×C₄₇	1	4	yes	—
481	C₄⋊C₈	C₂³×C₄₇	1	4	yes	—
482	C₄⋊C₈	C₂³×C₄₇	1	2	yes	—
483	C₄⋊C₈	C₂³×C₄₇	1	4	yes	—
484	C₄⋊C₈	C₂³×C₄₇	1	2	yes	—
485	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
486	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
487	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
488	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
489	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
490	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
491	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
492	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
493	C₂²⋊C₈	C₂³×C₄₇	1	4	yes	—
494	#97	C₂³×C₄₇	1	4	yes	—
495	#97	C₂³×C₄₇	1	4	yes	—
496	#97	C₂³×C₄₇	1	4	yes	—
497	C₄×C₈	C₂³×C₄₇	1	2	yes	—
498	C₄×C₈	C₂³×C₄₇	1	2	yes	—
499	C₄×C₈	C₂³×C₄₇	1	4	yes	—
500	C₄×C₈	C₂³×C₄₇	1	4	yes	—
501	C₂⁴	C₂²×C₄×C₄₇	1	2	yes	—
502	#41	—	4	1	no	—
503	#41	—	4	1	no	—
504	#41	—	4	2	no	—
505	#41	—	4	2	no	—
506	#41	—	4	1	no	—
507	#41	—	4	1	no	—
508	C₂×Q₈	C₂²×C₄×C₄₇	1	2	yes	—
509	C₂×Q₈	C₂²×C₄×C₄₇	1	1	yes	characteristic
510	C₂×Q₈	C₂²×C₄×C₄₇	1	2	yes	—
511	C₂×Q₈	C₂²×C₄×C₄₇	1	1	yes	characteristic
512	C₂×D₄	C₂²×C₄×C₄₇	1	4	yes	—
513	C₂×D₄	C₂²×C₄×C₄₇	1	2	yes	—
514	C₂×D₄	C₂²×C₄×C₄₇	1	4	yes	—
515	C₂×D₄	C₂²×C₄×C₄₇	1	4	yes	—
516	C₂×D₄	C₂²×C₄×C₄₇	1	4	yes	—
517	C₂×D₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
518	C₂×D₄	C₂²×C₄×C₄₇	1	2	yes	—
519	C₂×D₄	C₂²×C₄×C₄₇	1	2	yes	—
520	C₂×D₄	C₂²×C₄×C₄₇	1	4	yes	—
521	C₂×D₄	C₂²×C₄×C₄₇	1	2	yes	—
522	C₂×D₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
523	C₂²×C₄	—	4	2	no	—
524	C₂²×C₄	—	4	2	no	—
525	C₂²×C₄	C₂²×C₄×C₄₇	1	2	yes	—
526	C₂²×C₄	C₂²×C₄×C₄₇	1	4	yes	—
527	C₂²×C₄	C₂²×C₄×C₄₇	1	4	yes	—
528	C₂²×C₄	C₂²×C₄×C₄₇	1	2	yes	—
529	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
530	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
532	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
533	M₁₆	—	2	8	no	—
534	M₁₆	—	4	4	no	—
535	M₁₆	—	4	2	no	—
536	M₁₆	—	4	1	no	—
537	M₁₆	—	4	2	no	—
538	M₁₆	—	4	2	no	—
539	M₁₆	—	4	1	no	—
540	M₁₆	—	4	2	no	—
541	C₂×C₈	—	2	4	no	—
542	C₂×C₈	—	2	4	no	—
543	C₂×C₈	—	2	2	no	—
544	C₂×C₈	—	4	1	no	—
545	C₂×C₈	—	4	4	no	—
546	C₂×C₈	—	4	2	no	—
547	C₂×C₈	—	4	2	no	—
548	C₂×C₈	—	4	4	no	—
549	C₂×C₈	C₂⁴×C₄₇	1	2	yes	—
550	C₂×C₈	C₂⁴×C₄₇	1	1	yes	characteristic
551	C₂×C₈	C₂⁴×C₄₇	1	2	yes	—
552	C₂×C₈	C₂⁴×C₄₇	1	4	yes	—
553	C₂×C₈	C₂⁴×C₄₇	1	4	yes	—
554	C₂×C₈	C₂⁴×C₄₇	1	2	yes	—
555	C₂×C₈	C₂⁴×C₄₇	1	1	yes	characteristic
556	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
557	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
558	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
559	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
560	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
561	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
562	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
563	C₄⋊C₄	C₂²×C₄×C₄₇	1	2	yes	—
564	C₄⋊C₄	C₂²×C₄×C₄₇	1	2	yes	—
565	C₄⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
566	C₂²⋊C₄	C₂²×C₄×C₄₇	1	2	yes	—
567	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
568	C₂²⋊C₄	C₂²×C₄×C₄₇	1	2	yes	—
569	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
570	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
571	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
572	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
573	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
574	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
575	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
576	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
577	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
578	C₂²⋊C₄	C₂²×C₄×C₄₇	1	4	yes	—
579	C₄²	C₂²×C₄×C₄₇	1	1	yes	characteristic
580	C₄²	C₂²×C₄×C₄₇	1	2	yes	—
581	C₄²	C₂²×C₄×C₄₇	1	1	yes	characteristic
582	C₄²	C₂²×C₄×C₄₇	1	2	yes	—
583	C₄²	C₂⁴×C₄₇	1	2	yes	—
584	C₄²	C₂⁴×C₄₇	1	4	yes	—
585	C₂³	—	4	2	no	—
586	C₂³	—	4	4	no	—
587	C₂³	C₂³×C₄×C₄₇	1	2	yes	—
588	C₂³	C₂³×C₄×C₄₇	1	4	yes	—
589	C₂³	C₂³×C₄×C₄₇	1	1	yes	characteristic
590	C₂³	C₂³×C₄×C₄₇	1	2	yes	—
591	Q₈	—	4	2	no	—
592	Q₈	—	4	1	no	—
593	Q₈	—	4	2	no	—
594	Q₈	—	4	1	no	—
595	D₄	—	4	4	no	—
596	D₄	—	4	4	no	—
597	D₄	—	4	4	no	—
598	D₄	—	4	4	no	—
599	D₄	—	4	2	no	—
600	D₄	—	4	2	no	—
601	D₄	—	4	4	no	—
602	D₄	—	4	1	no	—
603	D₄	—	4	2	no	—
604	D₄	—	4	2	no	—
605	D₄	—	4	1	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	4	no	—
610	C₂×C₄	—	2	4	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	4	4	no	—
615	C₂×C₄	—	4	2	no	—
616	C₂×C₄	—	4	2	no	—
617	C₂×C₄	—	4	4	no	—
618	C₂×C₄	C₂³×C₄×C₄₇	1	1	yes	characteristic
619	C₂×C₄	C₂³×C₄×C₄₇	1	2	yes	—
620	C₂×C₄	C₂³×C₄×C₄₇	1	2	yes	—
621	C₂×C₄	C₂³×C₄×C₄₇	1	4	yes	—
622	C₂×C₄	C₂³×C₄×C₄₇	1	2	yes	—
623	C₂×C₄	C₂³×C₄×C₄₇	1	4	yes	—
624	C₂×C₄	C₂³×C₄×C₄₇	1	2	yes	—
625	C₂×C₄	C₂³×C₄×C₄₇	1	4	yes	—
626	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
627	C₈	—	2	2	no	—
628	C₈	—	2	2	no	—
629	C₈	—	2	1	no	—
630	C₈	—	2	4	no	—
631	C₈	—	2	2	no	—
632	C₈	—	2	4	no	—
633	C₈	H(5,𝔽₂)×C₄₇	1	2	yes	—
634	C₂²	—	2	2	no	—
635	C₂²	—	2	4	no	—
636	C₂²	—	2	4	no	—
637	C₂²	—	2	4	no	—
638	C₂²	—	2	4	no	—
639	C₂²	—	2	2	no	—
640	C₂²	—	2	4	no	—
641	C₂²	—	2	2	no	—
642	C₂²	—	2	1	no	—
643	C₂²	—	8	4	no	—
644	C₂²	C₂⁴×C₄×C₄₇	1	1	yes	characteristic
645	C₄	—	2	2	no	—
646	C₄	—	2	4	no	—
647	C₄	—	2	2	no	—
648	C₄	—	2	4	no	—
649	C₄	—	2	2	no	—
650	C₄	—	2	4	no	—
651	C₄	—	2	2	no	—
652	C₄	—	2	1	no	—
653	C₄	C₂×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
654	C₄	C₄₇×#585	1	1	yes	characteristic
655	C₂	—	4	2	no	—
656	C₂	—	4	4	no	—
657	C₂	—	4	1	no	—
658	C₂	—	4	2	no	—
659	C₂	C₄×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
660	C₂	C₄₇×#3573	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₄₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₄₇
Frattini, cosocle	C₂×C₄	C₂⁵×C₄₇
socle	C₂²×C₄₇	C₂⁴×C₄
prime radical	C₄₇×#3529	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₇×#2995	C₂	semidirect
3. C₄₇×#2993	C₂	semidirect
4. C₄₇×#2980	C₂	semidirect
5. C₄₇×#2979	C₂	semidirect
6. C₄₇×#2977	C₂	semidirect
7. C₄₇×#2976	C₂	semidirect
8. C₄₇×#2968	C₂	semidirect
9. C₄₇×#2966	C₂	semidirect
10. C₄₇×#2933	C₂	semidirect
11. C₄₇×#2932	C₂	semidirect
12. C₄₇×#2931	C₂	semidirect
13. C₄₇×#2930	C₂	semidirect
16. C₂×#131×C₄₇	C₂²	semidirect
17. C₂²×M₁₆×C₄₇	C₂²	semidirect
31. C₄₇×#446	C₂²	semidirect
32. C₄₇×#446	C₂²	semidirect
33. C₈×Q₈×C₄₇	C₂²	semidirect
36. C₄₇×#436	C₂²	semidirect
37. C₄₇×#436	C₂²	semidirect
38. C₄₇×#436	C₂²	semidirect
42. C₄₇×#435	C₂²	semidirect
43. C₄₇×#435	C₂²	semidirect
44. C₄₇×#435	C₂²	semidirect
45. C₄₇×#435	C₂²	semidirect
46. C₄₇×#435	C₂²	semidirect
47. C₄₇×#435	C₂²	semidirect
50. C₈×D₄×C₄₇	C₂²	semidirect
51. C₈×D₄×C₄₇	C₂²	semidirect
52. C₈×D₄×C₄₇	C₂²	semidirect
53. C₄₇×#433	C₂²	semidirect
54. C₄₇×#433	C₂²	semidirect
55. C₄₇×#433	C₂²	semidirect
56. C₄₇×#432	C₂²	semidirect
57. C₄₇×#431	C₂²	semidirect
58. C₄₇×#424	C₂²	semidirect
59. C₄₇×#424	C₂²	semidirect
60. C₄₇×#423	C₂²	semidirect
61. C₄₇×#423	C₂²	semidirect
66. C₄₇×#408	C₂²	semidirect
67. C₄₇×#408	C₂²	semidirect
68. C₄₇×#407	C₂²	semidirect
69. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
70. C₄₇×#405	C₂²	semidirect
71. C₄₇×#405	C₂²	semidirect
72. C₂×#97×C₄₇	C₂²	semidirect
73. C₂×C₄×C₈×C₄₇	C₂²	semidirect
303. #60318	C₄₇	direct (N × H)
326. #2995	C₂×C₄₇	semidirect
327. #2993	C₂×C₄₇	semidirect
328. #2980	C₂×C₄₇	semidirect
329. #2979	C₂×C₄₇	semidirect
330. #2977	C₂×C₄₇	semidirect
331. #2976	C₂×C₄₇	semidirect
332. #2968	C₂×C₄₇	semidirect
333. #2966	C₂×C₄₇	semidirect
334. #2933	C₂×C₄₇	semidirect
335. #2932	C₂×C₄₇	semidirect
336. #2931	C₂×C₄₇	semidirect
337. #2930	C₂×C₄₇	semidirect
346. C₂×#131	C₂²×C₄₇	semidirect
347. C₂²×M₁₆	C₂²×C₄₇	semidirect
361. #446	C₂²×C₄₇	semidirect
362. #446	C₂²×C₄₇	semidirect
363. C₈×Q₈	C₂²×C₄₇	semidirect
366. #436	C₂²×C₄₇	semidirect
367. #436	C₂²×C₄₇	semidirect
368. #436	C₂²×C₄₇	semidirect
372. #435	C₂²×C₄₇	semidirect
373. #435	C₂²×C₄₇	semidirect
374. #435	C₂²×C₄₇	semidirect
375. #435	C₂²×C₄₇	semidirect
376. #435	C₂²×C₄₇	semidirect
377. #435	C₂²×C₄₇	semidirect
380. C₈×D₄	C₂²×C₄₇	semidirect
381. C₈×D₄	C₂²×C₄₇	semidirect
382. C₈×D₄	C₂²×C₄₇	semidirect
383. #433	C₂²×C₄₇	semidirect
384. #433	C₂²×C₄₇	semidirect
385. #433	C₂²×C₄₇	semidirect
386. #432	C₂²×C₄₇	semidirect
387. #431	C₂²×C₄₇	semidirect
388. #424	C₂²×C₄₇	semidirect
389. #424	C₂²×C₄₇	semidirect
390. #423	C₂²×C₄₇	semidirect
391. #423	C₂²×C₄₇	semidirect
396. #408	C₂²×C₄₇	semidirect
397. #408	C₂²×C₄₇	semidirect
398. #407	C₂²×C₄₇	semidirect
399. C₂×C₂²⋊C₈	C₂²×C₄₇	semidirect
400. #405	C₂²×C₄₇	semidirect
401. #405	C₂²×C₄₇	semidirect
402. C₂×#97	C₂²×C₄₇	semidirect
403. C₂×C₄×C₈	C₂²×C₄₇	semidirect
404. C₄₇	#60318	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₇×#3529	2
C₄₇×#2995	2
C₄₇×#2993	2
C₄₇×#2980	2
C₄₇×#2979	2
C₄₇×#2977	2
C₄₇×#2976	2
C₄₇×#2968	2
C₄₇×#2966	2
C₄₇×#2933	2
C₄₇×#2932	2
C₄₇×#2931	2
C₄₇×#2930	2
#60318	47

Subgroups — C47×#60318 #26100016

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#60318 #26100016