Subgroups — #26201574

Order 12032.

740 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254303	C₂	1	1	yes	maximal, characteristic
2	C₂×#15689323	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252469	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242834	C₂	1	4	yes	maximal, complemented
5	#20242746	C₂	1	4	yes	maximal, complemented
6	#20242164	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242057	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242037	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#3037	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#10625336	—	2	1	no	—
11	C₂×#13094021	C₂²	1	1	yes	characteristic
12	#15689499	C₂²	1	2	yes	—
13	#15689471	C₂²	1	2	yes	—
14	#15689323	—	2	2	no	—
15	#15689323	C₂²	1	4	yes	—
16	#15689318	—	2	2	no	—
17	#15689256	—	2	2	no	—
18	Q₈×C₄₇⋊C₈	—	2	2	no	—
19	Q₈×C₄₇⋊C₈	C₂²	1	4	yes	complemented
20	#15689176	—	2	2	no	—
21	#15689176	C₂²	1	1	yes	characteristic
22	#15689176	C₂²	1	1	yes	characteristic
23	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
24	C₂×#13093944	—	2	1	no	—
25	#15688875	C₂²	1	4	yes	complemented
26	#15688869	C₂²	1	2	yes	complemented
27	#15688867	C₂²	1	2	yes	complemented
28	#15688866	C₂²	1	4	yes	—
29	C₂×#137×C₄₇	—	2	1	no	—
30	C₄₇×#532	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
32	C₄₇×#464	—	2	2	no	—
33	C₄₇×#462	C₂²	1	2	yes	complemented
34	C₄₇×#460	C₂²	1	2	yes	complemented
35	C₄₇×#423	C₂²	1	1	yes	characteristic
36	C₄₇×#417	—	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×#10625336	—	4	4	no	—
42	C₂×#10625334	—	2	4	no	—
43	C₂²×C₄₇⋊C₈	—	2	1	no	—
44	#13094021	—	2	1	no	—
45	#13094021	—	2	1	no	—
46	#13094021	—	2	1	no	—
47	#13094021	C₂³	1	2	yes	—
48	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
49	C₄⋊(C₄₇⋊C₈)	—	2	4	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)	D₄	1	2	yes	—
57	C₄×C₄₇⋊C₈	—	2	1	no	—
58	C₄×C₄₇⋊C₈	—	2	4	no	—
59	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
60	C₂×#41×C₄₇	—	2	1	no	—
61	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
62	#137×C₄₇	—	4	4	no	—
63	C₂×Q₁₆×C₄₇	—	2	2	no	—
64	C₂×SD₁₆×C₄₇	—	2	2	no	—
65	C₂×M₁₆×C₄₇	—	2	1	no	—
66	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
67	#127×C₄₇	C₂³	1	1	yes	characteristic
68	#124×C₄₇	—	2	1	no	—
69	#121×C₄₇	—	2	1	no	—
70	#121×C₄₇	—	2	1	no	—
71	C₄×Q₈×C₄₇	—	2	1	no	—
72	C₄×Q₈×C₄₇	—	2	1	no	—
73	C₄×Q₈×C₄₇	D₄	1	2	yes	—
74	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
75	C₄×D₄×C₄₇	—	2	1	no	—
76	C₄×D₄×C₄₇	—	2	1	no	—
77	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
78	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
79	C₂×C₄²×C₄₇	—	2	1	no	—
80	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
81	C₄⋊C₈×C₄₇	—	2	1	no	—
82	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
83	#103×C₄₇	—	2	2	no	—
84	#102×C₄₇	—	2	2	no	—
85	C₂³×D₄₇	—	4	1	no	—
86	#41×C₄₇	—	4	2	no	—
87	#41×C₄₇	—	4	2	no	—
88	C₂×Q₈×C₄₇	—	2	1	no	—
89	C₂×Q₈×C₄₇	—	2	2	no	—
90	C₂×Q₈×C₄₇	—	2	1	no	—
91	C₂×Q₈×C₄₇	D₈	1	4	yes	complemented
92	C₂×Q₈×C₄₇	C₂×D₄	1	2	yes	—
93	C₂×D₄×C₄₇	—	2	1	no	—
94	C₂×D₄×C₄₇	—	2	1	no	—
95	C₂×D₄×C₄₇	—	2	1	no	—
96	C₂×D₄×C₄₇	—	4	1	no	—
97	C₂²×C₄×C₄₇	—	2	1	no	—
98	C₂²×C₄×C₄₇	—	2	1	no	—
99	C₂²×C₄×C₄₇	—	4	1	no	—
100	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
101	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
103	C₂×D₁₈₈	—	2	2	no	—
104	C₂×D₁₈₈	—	2	2	no	—
105	C₂×D₁₈₈	—	2	2	no	—
106	C₂×D₁₈₈	—	4	2	no	—
107	C₂×D₁₈₈	—	4	2	no	—
108	C₂×D₁₈₈	—	4	1	no	—
109	C₂×D₁₈₈	—	4	1	no	—
110	C₂×D₁₈₈	—	4	1	no	—
111	C₂×D₁₈₈	—	8	2	no	—
112	C₂×D₁₈₈	—	8	2	no	—
113	Q₁₆×C₄₇	—	4	4	no	—
114	SD₁₆×C₄₇	—	4	4	no	—
115	M₁₆×C₄₇	—	4	2	no	—
116	C₂×C₈×C₄₇	—	2	2	no	—
117	C₄⋊C₄×C₄₇	—	2	2	no	—
118	C₄⋊C₄×C₄₇	—	2	1	no	—
119	C₄⋊C₄×C₄₇	—	2	2	no	—
120	C₄⋊C₄×C₄₇	—	2	1	no	—
121	C₄⋊C₄×C₄₇	—	2	1	no	—
122	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
123	C₂²⋊C₄×C₄₇	—	4	1	no	—
124	C₂²⋊C₄×C₄₇	—	4	1	no	—
125	C₄²×C₄₇	—	2	2	no	—
126	C₄²×C₄₇	—	2	2	no	—
127	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₄₇	#41	1	1	yes	characteristic
130	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
131	#10625336	—	4	8	no	—
132	#10625334	—	8	4	no	—
133	C₂×C₄₇⋊C₈	—	2	2	no	—
134	C₂×C₄₇⋊C₈	—	2	2	no	—
135	C₂×C₄₇⋊C₈	—	4	2	no	—
136	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
137	C₂³×C₄₇	—	4	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	—	2	2	no	—
144	Q₈×C₄₇	—	2	4	no	—
145	Q₈×C₄₇	—	4	1	no	—
146	Q₈×C₄₇	—	4	1	no	—
147	Q₈×C₄₇	C₂×D₈	1	4	yes	—
148	D₄×C₄₇	—	4	1	no	—
149	D₄×C₄₇	—	4	1	no	—
150	D₄×C₄₇	—	4	2	no	—
151	D₄×C₄₇	—	8	1	no	—
152	D₄×C₄₇	—	8	2	no	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	2	4	no	—
155	C₂×C₄×C₄₇	—	2	2	no	—
156	C₂×C₄×C₄₇	—	2	2	no	—
157	C₂×C₄×C₄₇	—	4	1	no	—
158	C₂×C₄×C₄₇	—	4	1	no	—
159	C₂×C₄×C₄₇	—	8	1	no	—
160	C₂×C₄×C₄₇	—	8	2	no	—
161	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
165	C₂×C₄×C₄₇	#135	1	2	yes	—
166	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
169	D₁₈₈	—	4	2	no	—
170	D₁₈₈	—	4	2	no	—
171	D₁₈₈	—	4	4	no	—
172	D₁₈₈	—	8	2	no	—
173	D₁₈₈	—	8	2	no	—
174	D₁₈₈	—	8	2	no	—
175	D₁₈₈	—	8	2	no	—
176	C₈×C₄₇	—	4	2	no	—
177	C₄₇⋊C₈	—	2	4	no	—
178	C₄₇⋊C₈	—	4	2	no	—
179	C₄₇⋊C₈	—	4	2	no	—
180	#19398	—	47	1	no	maximal, Sylow
181	C₂²×C₄₇	—	2	1	no	—
182	C₂²×C₄₇	—	2	1	no	—
183	C₂²×C₄₇	—	8	1	no	—
184	C₂²×C₄₇	—	8	1	no	—
185	C₂²×C₄₇	—	8	1	no	—
186	C₂²×C₄₇	#466	1	2	yes	—
187	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
188	C₂×D₄₇	—	8	2	no	—
189	C₂×D₄₇	—	8	2	no	—
190	C₂×D₄₇	—	8	2	no	—
191	C₂×D₄₇	—	16	4	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	2	4	no	—
194	C₄×C₄₇	—	2	1	no	—
195	C₄×C₄₇	—	2	1	no	—
196	C₄×C₄₇	—	4	2	no	—
197	C₄×C₄₇	—	8	1	no	—
198	C₄×C₄₇	#466	1	2	yes	—
199	C₄×C₄₇	C₂²×D₈	1	1	yes	characteristic
200	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
201	C₄×C₄₇	#577	1	2	yes	—
202	#3205	—	47	1	no	—
203	#3037	D₄₇	1	1	yes	characteristic, complemented
204	C₂×#460	—	47	1	no	—
205	#2982	—	47	1	no	—
206	#1682	—	47	4	no	—
207	#1668	—	47	4	no	—
208	#1571	—	47	1	no	—
209	#1545	—	47	1	no	—
210	#1540	—	47	1	no	—
211	C₂×C₄₇	—	2	2	no	—
212	C₂×C₄₇	—	16	1	no	—
213	C₂×C₄₇	#3043	1	1	yes	characteristic
214	C₂×C₄₇	C₂×#466	1	1	yes	characteristic
215	C₂×C₄₇	#3068	1	1	yes	characteristic
216	D₄₇	—	16	2	no	—
217	C₂×#137	—	2	1	no	—
218	C₂²×SD₁₆	—	94	1	no	—
219	#532	C₂×D₄₇	1	1	yes	characteristic
220	C₂×#127	—	47	1	no	—
221	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
222	#493	—	47	2	no	—
223	#486	—	47	2	no	—
224	#464	—	2	2	no	—
225	#462	C₂×D₄₇	1	2	yes	complemented
226	#460	—	47	4	no	—
227	#460	—	94	2	no	—
228	#460	C₂×D₄₇	1	2	yes	complemented
229	#459	—	94	2	no	—
230	#447	—	94	2	no	—
231	C₈×Q₈	—	47	4	no	—
232	C₈×Q₈	—	94	2	no	—
233	#431	—	47	1	no	—
234	#431	—	47	1	no	—
235	#431	—	94	2	no	—
236	#423	C₂×D₄₇	1	1	yes	characteristic
237	C₂×C₄⋊C₈	—	47	1	no	—
238	#417	—	2	1	no	—
239	C₂×#102	—	94	1	no	—
240	#335	—	47	4	no	—
241	#332	—	47	2	no	—
242	#331	—	47	2	no	—
243	#331	—	47	4	no	—
244	C₄₇	#19398	1	1	yes	characteristic, complemented, Sylow
245	C₂×#41	—	2	1	no	—
246	C₂²×Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
247	C₂²×D₄	—	94	1	no	—
248	C₂²×D₄	—	94	1	no	—
249	C₂²×D₄	—	94	1	no	—
250	#137	—	4	4	no	—
251	C₂×Q₁₆	—	2	2	no	—
252	C₂×SD₁₆	—	2	2	no	—
253	C₂×SD₁₆	—	94	4	no	—
254	C₂×SD₁₆	—	188	4	no	—
255	C₂×D₈	—	94	4	no	—
256	C₂×M₁₆	—	2	1	no	—
257	C₂²×C₈	—	94	1	no	—
258	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
259	#127	—	47	2	no	—
260	#127	—	94	1	no	—
261	#127	—	94	1	no	—
262	#127	—	94	1	no	—
263	#127	C₂²×D₄₇	1	1	yes	characteristic
264	#124	—	2	1	no	—
265	#121	—	2	1	no	—
266	#121	—	2	1	no	—
267	C₄×Q₈	—	2	1	no	—
268	C₄×Q₈	—	2	1	no	—
269	C₄×Q₈	C₂²⋊D₄₇	1	2	yes	—
270	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
271	C₄×D₄	—	2	1	no	—
272	C₄×D₄	—	2	1	no	—
273	C₂×C₄⋊C₄	—	2	1	no	—
274	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
275	C₂×C₄²	—	2	1	no	—
276	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
277	C₄⋊C₈	—	2	1	no	—
278	C₄⋊C₈	—	47	2	no	—
279	C₄⋊C₈	—	47	2	no	—
280	C₄⋊C₈	—	47	2	no	—
281	C₄⋊C₈	—	94	4	no	—
282	C₄⋊C₈	—	94	1	no	—
283	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
284	#103	—	2	2	no	—
285	#102	—	2	2	no	—
286	#102	—	94	4	no	—
287	#102	—	94	4	no	—
288	C₂²⋊C₈	—	47	2	no	—
289	C₂²⋊C₈	—	94	1	no	—
290	C₄×C₈	—	47	2	no	—
291	C₄×C₈	—	94	4	no	—
292	C₄×C₈	—	94	1	no	—
293	C₂⁴	—	188	1	no	—
294	#41	—	4	2	no	—
295	#41	—	4	2	no	—
296	C₂×Q₈	—	2	1	no	—
297	C₂×Q₈	—	2	2	no	—
298	C₂×Q₈	—	2	1	no	—
299	C₂×Q₈	#10625334	1	4	yes	complemented
300	C₂×Q₈	C₂×C₂²⋊D₄₇	1	2	yes	—
301	C₂×D₄	—	2	1	no	—
302	C₂×D₄	—	2	1	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	4	1	no	—
305	C₂×D₄	—	94	2	no	—
306	C₂×D₄	—	94	2	no	—
307	C₂×D₄	—	94	2	no	—
308	C₂×D₄	—	376	2	no	—
309	C₂×D₄	—	376	2	no	—
310	C₂×D₄	—	188	1	no	—
311	C₂×D₄	—	188	1	no	—
312	C₂×D₄	—	188	1	no	—
313	C₂×D₄	—	188	2	no	—
314	C₂×D₄	—	188	2	no	—
315	C₂²×C₄	—	2	1	no	—
316	C₂²×C₄	—	2	1	no	—
317	C₂²×C₄	—	4	1	no	—
318	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
319	C₂²×C₄	#10625352	1	1	yes	characteristic
320	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
321	Q₁₆	—	4	4	no	—
322	SD₁₆	—	4	4	no	—
323	SD₁₆	—	188	8	no	—
324	D₈	—	376	4	no	—
325	M₁₆	—	4	2	no	—
326	C₂×C₈	—	2	2	no	—
327	C₂×C₈	—	47	4	no	—
328	C₂×C₈	—	94	2	no	—
329	C₂×C₈	—	94	2	no	—
330	C₂×C₈	—	188	2	no	—
331	C₄⋊C₄	—	2	2	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	2	2	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	2	1	no	—
336	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
337	C₂²⋊C₄	—	4	1	no	—
338	C₂²⋊C₄	—	4	1	no	—
339	C₄²	—	2	2	no	—
340	C₄²	—	2	2	no	—
341	C₄²	D₄×D₄₇	1	1	yes	characteristic
342	C₄²	#10625352	1	1	yes	characteristic
343	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
344	C₄²	C₂³×D₄₇	1	1	yes	characteristic
345	C₂³	—	4	1	no	—
346	C₂³	—	376	2	no	—
347	C₂³	—	376	2	no	—
348	C₂³	—	376	2	no	—
349	C₂³	—	188	2	no	—
350	C₂³	#13093996	1	1	yes	characteristic
351	Q₈	—	2	4	no	—
352	Q₈	—	2	2	no	—
353	Q₈	—	4	1	no	—
354	Q₈	—	4	1	no	—
355	Q₈	C₂×#10625334	1	4	yes	—
356	D₄	—	4	1	no	—
357	D₄	—	4	1	no	—
358	D₄	—	4	2	no	—
359	D₄	—	8	1	no	—
360	D₄	—	8	2	no	—
361	D₄	—	376	2	no	—
362	D₄	—	376	2	no	—
363	D₄	—	376	2	no	—
364	D₄	—	376	2	no	—
365	D₄	—	188	2	no	—
366	D₄	—	188	2	no	—
367	D₄	—	188	4	no	—
368	C₂×C₄	—	2	4	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	4	1	no	—
374	C₂×C₄	—	8	1	no	—
375	C₂×C₄	—	8	2	no	—
376	C₂×C₄	#13093996	1	1	yes	characteristic
377	C₂×C₄	#13093996	1	1	yes	characteristic
378	C₂×C₄	#13093996	1	1	yes	characteristic
379	C₂×C₄	C₂×#10625334	1	2	yes	—
380	C₂×C₄	#13094044	1	2	yes	—
381	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
383	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
384	C₈	—	4	2	no	—
385	C₈	—	94	4	no	—
386	C₈	—	188	2	no	—
387	C₈	—	188	2	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	8	1	no	—
391	C₂²	—	8	1	no	—
392	C₂²	—	8	1	no	—
393	C₂²	—	376	2	no	—
394	C₂²	—	376	2	no	—
395	C₂²	—	376	2	no	—
396	C₂²	—	752	4	no	—
397	C₂²	#15689357	1	2	yes	—
398	C₂²	C₂×#13093996	1	1	yes	characteristic
399	C₄	—	2	4	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	2	1	no	—
403	C₄	—	4	2	no	—
404	C₄	—	8	1	no	—
405	C₄	#15689357	1	2	yes	—
406	C₄	C₂²×#10625334	1	1	yes	characteristic
407	C₄	C₂×#13094044	1	1	yes	characteristic
408	C₄	#15689932	1	2	yes	—
409	C₂	—	2	2	no	—
410	C₂	—	16	1	no	—
411	C₂	—	752	2	no	—
412	C₂	#20252911	1	1	yes	characteristic
413	C₂	C₂×#15689357	1	1	yes	characteristic
414	C₂	#20253118	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3037	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	#20254303	C₂
hypercenter	#3037	D₄₇
hypocenter	C₄₇	#19398
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3037

Complements

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

N	H ≅ G/N	type
2. C₂×#15689323	C₂	semidirect
3. #20252469	C₂	semidirect
4. #20242834	C₂	semidirect
5. #20242746	C₂	semidirect
6. #20242164	C₂	semidirect
7. #20242057	C₂	semidirect
8. #20242037	C₂	semidirect
9. C₄₇×#3037	C₂	semidirect
19. Q₈×C₄₇⋊C₈	C₂²	semidirect
25. #15688875	C₂²	semidirect
26. #15688869	C₂²	semidirect
27. #15688867	C₂²	semidirect
33. C₄₇×#462	C₂²	semidirect
34. C₄₇×#460	C₂²	semidirect
91. C₂×Q₈×C₄₇	D₈	semidirect
203. #3037	D₄₇	semidirect
225. #462	C₂×D₄₇	semidirect
228. #460	C₂×D₄₇	semidirect
244. C₄₇	#19398	semidirect
299. C₂×Q₈	#10625334	semidirect

Maximal subgroups

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

subgroup	index
#20254303	2
C₂×#15689323	2
#20252469	2
#20242834	2
#20242746	2
#20242164	2
#20242057	2
#20242037	2
C₄₇×#3037	2
#19398	47