Subgroups — #26201440

Order 12032.

738 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254326	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689318	C₂	1	1	yes	maximal, characteristic
3	#20252412	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242799	C₂	1	4	yes	maximal, complemented
5	#20242731	C₂	1	4	yes	maximal, complemented
6	#20242160	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242057	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242045	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#3077	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#10625334	—	2	1	no	—
11	C₂×#13094021	C₂²	1	1	yes	characteristic
12	#15689497	C₂²	1	2	yes	complemented
13	#15689471	C₂²	1	2	yes	complemented
14	#15689323	—	2	2	no	—
15	#15689318	—	2	2	no	—
16	#15689318	C₂²	1	4	yes	—
17	#15689273	—	2	2	no	—
18	D₄×C₄₇⋊C₈	—	2	2	no	—
19	D₄×C₄₇⋊C₈	C₂²	1	4	yes	complemented
20	#15689176	C₂²	1	1	yes	characteristic
21	#15689176	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×#13093944	—	2	1	no	—
24	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
25	#15688873	C₂²	1	4	yes	complemented
26	#15688872	C₂²	1	2	yes	complemented
27	#15688869	C₂²	1	2	yes	complemented
28	#15688866	C₂²	1	4	yes	complemented
29	C₄₇×#533	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
31	C₄₇×#478	—	2	2	no	—
32	C₄₇×#476	C₂²	1	2	yes	complemented
33	C₄₇×#474	C₂²	1	2	yes	complemented
34	C₄₇×#428	—	2	1	no	—
35	C₄₇×#423	C₂²	1	1	yes	characteristic
36	C₄₇×#418	—	2	1	no	—
37	C₂²×D₁₈₈	—	2	1	no	—
38	C₂²×D₁₈₈	—	2	1	no	—
39	C₂²×D₁₈₈	—	2	1	no	—
40	C₂×#10625336	—	2	4	no	—
41	C₂×#10625334	—	2	4	no	—
42	C₂×#10625334	—	4	4	no	—
43	C₂²×C₄₇⋊C₈	—	2	1	no	—
44	C₂²×C₄₇⋊C₈	—	2	4	no	—
45	#13094021	—	2	1	no	—
46	#13094021	—	2	1	no	—
47	#13094021	—	2	1	no	—
48	#13094021	C₂³	1	2	yes	—
49	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
50	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
51	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
52	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
53	#13093944	—	2	4	no	—
54	#13093944	—	2	4	no	—
55	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
56	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
57	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
58	C₄×C₄₇⋊C₈	—	2	1	no	—
59	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
60	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
61	C₂³×C₄×C₄₇	—	2	1	no	—
62	C₂×M₁₆×C₄₇	—	2	1	no	—
63	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
64	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
65	#125×C₄₇	—	2	1	no	—
66	C₂²⋊Q₈×C₄₇	—	2	1	no	—
67	C₂²⋊Q₈×C₄₇	—	2	1	no	—
68	C₄×Q₈×C₄₇	—	2	1	no	—
69	C₄×Q₈×C₄₇	—	2	1	no	—
70	C₄×D₄×C₄₇	—	2	1	no	—
71	C₄×D₄×C₄₇	—	2	1	no	—
72	C₄×D₄×C₄₇	D₄	1	2	yes	—
73	C₄×D₄×C₄₇	C₂³	1	2	yes	—
74	#117×C₄₇	—	2	1	no	—
75	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
76	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
77	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
78	#107×C₄₇	—	2	2	no	—
79	#106×C₄₇	—	2	2	no	—
80	C₄⋊C₈×C₄₇	—	2	1	no	—
81	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
82	#102×C₄₇	—	2	2	no	—
83	#102×C₄₇	—	2	2	no	—
84	C₂⁴×C₄₇	—	2	1	no	—
85	C₂³×D₄₇	—	4	1	no	—
86	C₂×Q₈×C₄₇	—	2	1	no	—
87	C₂×Q₈×C₄₇	—	2	1	no	—
88	C₂×D₄×C₄₇	—	2	1	no	—
89	C₂×D₄×C₄₇	—	2	2	no	—
90	C₂×D₄×C₄₇	SD₁₆	1	4	yes	complemented
91	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₄₇	—	2	1	no	—
93	C₂²×C₄×C₄₇	—	2	2	no	—
94	C₂²×C₄×C₄₇	—	2	2	no	—
95	C₂²×C₄×C₄₇	—	8	2	no	—
96	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
99	C₂×D₁₈₈	—	2	2	no	—
100	C₂×D₁₈₈	—	2	2	no	—
101	C₂×D₁₈₈	—	2	2	no	—
102	C₂×D₁₈₈	—	4	2	no	—
103	C₂×D₁₈₈	—	4	2	no	—
104	C₂×D₁₈₈	—	4	1	no	—
105	C₂×D₁₈₈	—	4	1	no	—
106	C₂×D₁₈₈	—	4	1	no	—
107	C₂×D₁₈₈	—	8	2	no	—
108	C₂×D₁₈₈	—	8	2	no	—
109	M₁₆×C₄₇	—	4	2	no	—
110	C₂×C₈×C₄₇	—	2	2	no	—
111	C₄⋊C₄×C₄₇	—	2	1	no	—
112	C₄⋊C₄×C₄₇	—	2	1	no	—
113	C₄⋊C₄×C₄₇	—	2	1	no	—
114	C₄⋊C₄×C₄₇	—	2	1	no	—
115	C₄⋊C₄×C₄₇	—	2	1	no	—
116	C₄⋊C₄×C₄₇	—	4	1	no	—
117	C₄⋊C₄×C₄₇	—	4	1	no	—
118	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
119	C₂²⋊C₄×C₄₇	—	2	2	no	—
120	C₂²⋊C₄×C₄₇	—	2	2	no	—
121	C₂²⋊C₄×C₄₇	—	4	1	no	—
122	C₄²×C₄₇	—	4	1	no	—
123	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₇	#41	1	1	yes	characteristic
126	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
127	#10625336	—	8	4	no	—
128	#10625334	—	4	8	no	—
129	C₂×C₄₇⋊C₈	—	2	2	no	—
130	C₂×C₄₇⋊C₈	—	2	2	no	—
131	C₂×C₄₇⋊C₈	—	4	2	no	—
132	C₂×C₄₇⋊C₈	—	8	4	no	—
133	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
134	C₂³×C₄₇	—	2	2	no	—
135	C₂³×C₄₇	—	2	4	no	—
136	C₂³×C₄₇	—	8	1	no	—
137	C₂³×C₄₇	—	8	1	no	—
138	C₂³×C₄₇	#121	1	1	yes	characteristic
139	C₂²×D₄₇	—	4	2	no	—
140	C₂²×D₄₇	—	8	2	no	—
141	C₂²×D₄₇	—	8	2	no	—
142	C₂²×D₄₇	—	8	2	no	—
143	Q₈×C₄₇	—	4	2	no	—
144	Q₈×C₄₇	—	8	1	no	—
145	D₄×C₄₇	—	2	2	no	—
146	D₄×C₄₇	—	2	4	no	—
147	D₄×C₄₇	C₂×SD₁₆	1	4	yes	—
148	C₂×C₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	—	4	1	no	—
151	C₂×C₄×C₄₇	—	4	4	no	—
152	C₂×C₄×C₄₇	—	4	1	no	—
153	C₂×C₄×C₄₇	—	4	1	no	—
154	C₂×C₄×C₄₇	—	8	2	no	—
155	C₂×C₄×C₄₇	—	8	1	no	—
156	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
157	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
158	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
159	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
160	C₂×C₄×C₄₇	#135	1	2	yes	—
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
164	D₁₈₈	—	4	2	no	—
165	D₁₈₈	—	4	2	no	—
166	D₁₈₈	—	4	4	no	—
167	D₁₈₈	—	8	2	no	—
168	D₁₈₈	—	8	2	no	—
169	D₁₈₈	—	8	2	no	—
170	D₁₈₈	—	8	2	no	—
171	C₈×C₄₇	—	4	2	no	—
172	C₄₇⋊C₈	—	2	4	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	C₄₇⋊C₈	—	4	2	no	—
175	#19384	—	47	1	no	maximal, Sylow
176	C₂²×C₄₇	—	2	1	no	—
177	C₂²×C₄₇	—	2	1	no	—
178	C₂²×C₄₇	—	2	4	no	—
179	C₂²×C₄₇	—	4	2	no	—
180	C₂²×C₄₇	—	4	2	no	—
181	C₂²×C₄₇	—	8	4	no	—
182	C₂²×C₄₇	#465	1	2	yes	—
183	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
184	C₂×D₄₇	—	8	2	no	—
185	C₂×D₄₇	—	8	2	no	—
186	C₂×D₄₇	—	8	2	no	—
187	C₂×D₄₇	—	16	4	no	—
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	4	2	no	—
192	C₄×C₄₇	—	8	1	no	—
193	C₄×C₄₇	—	8	1	no	—
194	C₄×C₄₇	#465	1	2	yes	—
195	C₄×C₄₇	C₂²×SD₁₆	1	1	yes	characteristic
196	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
197	C₄×C₄₇	#576	1	2	yes	—
198	#3208	—	47	1	no	—
199	#3077	D₄₇	1	1	yes	characteristic, complemented
200	C₂×#459	—	47	1	no	—
201	#2972	—	47	1	no	—
202	#1677	—	47	4	no	—
203	#1665	—	47	4	no	—
204	#1570	—	47	1	no	—
205	#1545	—	47	1	no	—
206	#1542	—	47	1	no	—
207	C₂×C₄₇	—	2	2	no	—
208	C₂×C₄₇	—	4	4	no	—
209	C₂×C₄₇	#3041	1	1	yes	characteristic
210	C₂×C₄₇	C₂×#465	1	1	yes	characteristic
211	C₂×C₄₇	#3068	1	1	yes	characteristic
212	D₄₇	—	16	2	no	—
213	C₂²×D₈	—	94	1	no	—
214	#533	C₂×D₄₇	1	1	yes	characteristic
215	C₂×#127	—	47	1	no	—
216	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
217	#492	—	47	2	no	—
218	#486	—	47	2	no	—
219	#478	—	2	2	no	—
220	#476	C₂×D₄₇	1	2	yes	complemented
221	#474	C₂×D₄₇	1	2	yes	complemented
222	#460	—	94	2	no	—
223	#459	—	47	4	no	—
224	#459	—	94	2	no	—
225	#450	—	94	2	no	—
226	C₈×D₄	—	47	4	no	—
227	C₈×D₄	—	94	2	no	—
228	#431	—	47	1	no	—
229	#431	—	47	1	no	—
230	#428	—	2	1	no	—
231	#423	C₂×D₄₇	1	1	yes	characteristic
232	C₂×C₄⋊C₈	—	47	1	no	—
233	#418	—	2	1	no	—
234	C₂×#102	—	94	1	no	—
235	C₂×C₂²⋊C₈	—	94	2	no	—
236	#334	—	47	4	no	—
237	#333	—	47	2	no	—
238	#332	—	47	2	no	—
239	#331	—	47	4	no	—
240	C₄₇	#19384	1	1	yes	characteristic, complemented, Sylow
241	C₂²×D₄	—	94	1	no	—
242	C₂²×D₄	—	94	1	no	—
243	C₂²×D₄	—	94	1	no	—
244	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
245	C₂³×C₄	—	2	1	no	—
246	C₂×SD₁₆	—	94	4	no	—
247	C₂×D₈	—	94	4	no	—
248	C₂×D₈	—	188	4	no	—
249	C₂×M₁₆	—	2	1	no	—
250	C₂²×C₈	—	94	4	no	—
251	C₂²×C₈	—	94	1	no	—
252	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
253	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
254	#127	—	47	2	no	—
255	#127	—	94	1	no	—
256	#127	—	94	1	no	—
257	#127	—	94	1	no	—
258	#125	—	2	1	no	—
259	C₂²⋊Q₈	—	2	1	no	—
260	C₂²⋊Q₈	—	2	1	no	—
261	C₄×Q₈	—	2	1	no	—
262	C₄×Q₈	—	2	1	no	—
263	C₄×D₄	—	2	1	no	—
264	C₄×D₄	—	2	1	no	—
265	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
266	C₄×D₄	C₂²×D₄₇	1	2	yes	—
267	#117	—	2	1	no	—
268	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
269	C₂×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
271	#107	—	2	2	no	—
272	#106	—	2	2	no	—
273	C₄⋊C₈	—	2	1	no	—
274	C₄⋊C₈	—	47	2	no	—
275	C₄⋊C₈	—	47	2	no	—
276	C₄⋊C₈	—	47	2	no	—
277	C₄⋊C₈	—	94	1	no	—
278	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
279	#102	—	2	2	no	—
280	#102	—	2	2	no	—
281	#102	—	94	4	no	—
282	#102	—	94	4	no	—
283	C₂²⋊C₈	—	47	2	no	—
284	C₂²⋊C₈	—	94	4	no	—
285	C₂²⋊C₈	—	94	1	no	—
286	C₄×C₈	—	47	2	no	—
287	C₄×C₈	—	94	1	no	—
288	C₂⁴	—	2	1	no	—
289	C₂⁴	—	188	1	no	—
290	C₂×Q₈	—	2	1	no	—
291	C₂×Q₈	—	2	1	no	—
292	C₂×D₄	—	2	1	no	—
293	C₂×D₄	—	2	2	no	—
294	C₂×D₄	—	94	2	no	—
295	C₂×D₄	—	94	2	no	—
296	C₂×D₄	—	94	2	no	—
297	C₂×D₄	—	376	2	no	—
298	C₂×D₄	—	376	2	no	—
299	C₂×D₄	—	188	1	no	—
300	C₂×D₄	—	188	1	no	—
301	C₂×D₄	—	188	1	no	—
302	C₂×D₄	—	188	2	no	—
303	C₂×D₄	—	188	2	no	—
304	C₂×D₄	#10625336	1	4	yes	complemented
305	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
306	C₂²×C₄	—	2	1	no	—
307	C₂²×C₄	—	2	2	no	—
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	8	2	no	—
310	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
311	C₂²×C₄	#10625352	1	1	yes	characteristic
312	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
313	SD₁₆	—	376	4	no	—
314	D₈	—	188	8	no	—
315	M₁₆	—	4	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	47	4	no	—
318	C₂×C₈	—	94	2	no	—
319	C₂×C₈	—	94	2	no	—
320	C₂×C₈	—	376	4	no	—
321	C₂×C₈	—	188	2	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	2	1	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	1	no	—
327	C₄⋊C₄	—	4	1	no	—
328	C₄⋊C₄	—	4	1	no	—
329	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
330	C₂²⋊C₄	—	2	2	no	—
331	C₂²⋊C₄	—	2	2	no	—
332	C₂²⋊C₄	—	4	1	no	—
333	C₄²	—	4	1	no	—
334	C₄²	D₄×D₄₇	1	1	yes	characteristic
335	C₄²	#10625352	1	1	yes	characteristic
336	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
337	C₄²	C₂³×D₄₇	1	1	yes	characteristic
338	C₂³	—	2	2	no	—
339	C₂³	—	2	4	no	—
340	C₂³	—	8	1	no	—
341	C₂³	—	8	1	no	—
342	C₂³	—	376	2	no	—
343	C₂³	—	376	2	no	—
344	C₂³	—	376	2	no	—
345	C₂³	—	188	2	no	—
346	C₂³	#13093996	1	1	yes	characteristic
347	Q₈	—	4	2	no	—
348	Q₈	—	8	1	no	—
349	D₄	—	2	4	no	—
350	D₄	—	2	2	no	—
351	D₄	—	376	2	no	—
352	D₄	—	376	2	no	—
353	D₄	—	376	2	no	—
354	D₄	—	376	2	no	—
355	D₄	—	188	2	no	—
356	D₄	—	188	2	no	—
357	D₄	—	188	4	no	—
358	D₄	C₂×#10625336	1	4	yes	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	4	4	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	8	2	no	—
366	C₂×C₄	—	8	1	no	—
367	C₂×C₄	#13093996	1	1	yes	characteristic
368	C₂×C₄	#13093996	1	1	yes	characteristic
369	C₂×C₄	#13093996	1	1	yes	characteristic
370	C₂×C₄	C₂×#10625336	1	2	yes	—
371	C₂×C₄	#13094044	1	2	yes	—
372	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
374	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
375	C₈	—	4	2	no	—
376	C₈	—	94	4	no	—
377	C₈	—	188	2	no	—
378	C₈	—	188	2	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	4	no	—
382	C₂²	—	4	2	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	8	4	no	—
385	C₂²	—	376	2	no	—
386	C₂²	—	376	2	no	—
387	C₂²	—	376	2	no	—
388	C₂²	—	752	4	no	—
389	C₂²	#15689354	1	2	yes	—
390	C₂²	C₂×#13093996	1	1	yes	characteristic
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	4	2	no	—
395	C₄	—	8	1	no	—
396	C₄	—	8	1	no	—
397	C₄	#15689354	1	2	yes	—
398	C₄	C₂²×#10625336	1	1	yes	characteristic
399	C₄	C₂×#13094044	1	1	yes	characteristic
400	C₄	#15689927	1	2	yes	—
401	C₂	—	2	2	no	—
402	C₂	—	4	4	no	—
403	C₂	—	752	2	no	—
404	C₂	#20252893	1	1	yes	characteristic
405	C₂	C₂×#15689354	1	1	yes	characteristic
406	C₂	#20253118	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3077	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	C₂×#15689318	C₂
hypercenter	#3077	D₄₇
hypocenter	C₄₇	#19384
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3077

Complements

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

N	H ≅ G/N	type
1. #20254326	C₂	semidirect
3. #20252412	C₂	semidirect
4. #20242799	C₂	semidirect
5. #20242731	C₂	semidirect
6. #20242160	C₂	semidirect
7. #20242057	C₂	semidirect
8. #20242045	C₂	semidirect
9. C₄₇×#3077	C₂	semidirect
12. #15689497	C₂²	semidirect
13. #15689471	C₂²	semidirect
19. D₄×C₄₇⋊C₈	C₂²	semidirect
25. #15688873	C₂²	semidirect
26. #15688872	C₂²	semidirect
27. #15688869	C₂²	semidirect
28. #15688866	C₂²	semidirect
32. C₄₇×#476	C₂²	semidirect
33. C₄₇×#474	C₂²	semidirect
90. C₂×D₄×C₄₇	SD₁₆	semidirect
199. #3077	D₄₇	semidirect
220. #476	C₂×D₄₇	semidirect
221. #474	C₂×D₄₇	semidirect
240. C₄₇	#19384	semidirect
304. C₂×D₄	#10625336	semidirect

Maximal subgroups

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

subgroup	index
#20254326	2
C₂×#15689318	2
#20252412	2
#20242799	2
#20242731	2
#20242160	2
#20242057	2
#20242045	2
C₄₇×#3077	2
#19384	47