Subgroups — #26121461

Order 12032.

1142 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13093935	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#15688885	C₂	1	4	yes	maximal
4	C₂×C₄×C₄⋊C₄×C₄₇	C₂	1	1	yes	maximal, characteristic
5	C₂³×C₄₇⋊C₈	C₂²	1	2	yes	—
6	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
7	C₂²×C₄×Dic₄₇	—	2	1	no	—
8	C₂×#13093935	—	2	2	no	—
9	C₂×#13093935	—	2	2	no	—
10	C₂×#13093935	C₄	1	4	yes	complemented
11	C₄×C₄⋊Dic₄₇	—	2	2	no	—
12	C₄×C₄⋊Dic₄₇	C₄	1	4	yes	complemented
13	C₂×C₄₇⋊#95	—	2	1	no	—
14	#15688885	C₄	1	16	yes	complemented
15	C₂²×C₄⋊C₄×C₄₇	C₂²	1	2	yes	—
16	C₂²×C₄²×C₄₇	—	2	1	no	—
17	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
18	C₄×C₄⋊C₄×C₄₇	—	2	2	no	—
19	C₄×C₄⋊C₄×C₄₇	C₄	1	4	yes	complemented
20	C₂×#95×C₄₇	—	2	1	no	—
21	C₂³×Dic₄₇	—	2	2	no	—
22	C₂²×C₄₇⋊C₈	—	2	2	no	—
23	C₂²×C₄₇⋊C₈	—	2	2	no	—
24	C₂²×C₄₇⋊C₈	—	2	4	no	—
25	C₂²×C₄₇⋊C₈	C₂×C₄	1	4	yes	—
26	C₂²×C₄₇⋊C₈	C₂×C₄	1	8	yes	—
27	C₂×C₄⋊Dic₄₇	—	2	2	no	—
28	C₂×C₄⋊Dic₄₇	—	2	4	no	—
29	C₂×C₄⋊Dic₄₇	C₂×C₄	1	4	yes	—
30	C₂×C₄⋊Dic₄₇	C₂×C₄	1	8	yes	—
31	C₂×C₄×Dic₄₇	—	2	4	no	—
32	C₂×C₄×Dic₄₇	—	4	4	no	—
33	#13093935	—	2	8	no	—
34	C₄₇⋊#95	—	2	4	no	—
35	C₂³×C₄×C₄₇	—	2	2	no	—
36	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
38	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
39	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
40	C₂×C₄⋊C₄×C₄₇	—	2	4	no	—
41	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	8	yes	—
42	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
43	C₂×C₄²×C₄₇	—	2	4	no	—
44	C₂×C₄²×C₄₇	—	4	4	no	—
45	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
46	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
47	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
48	C₂×C₄²×C₄₇	D₄	1	2	yes	—
49	C₂×C₄²×C₄₇	D₄	1	2	yes	—
50	C₂×C₄²×C₄₇	Q₈	1	2	yes	—
51	#95×C₄₇	—	2	4	no	—
52	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
53	C₂²×C₄×C₄₇	—	2	2	no	—
54	C₂²×C₄×C₄₇	—	2	2	no	—
55	C₂²×C₄×C₄₇	—	2	2	no	—
56	C₂²×C₄×C₄₇	—	2	2	no	—
57	C₂²×C₄×C₄₇	—	2	4	no	—
58	C₂²×C₄×C₄₇	—	2	8	no	—
59	C₂²×C₄×C₄₇	—	4	4	no	—
60	C₂²×C₄×C₄₇	—	4	2	no	—
61	C₂²×C₄×C₄₇	—	4	2	no	—
62	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
63	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
64	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
65	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
66	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
67	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
68	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
71	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
72	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
75	C₂²×C₄×C₄₇	#41	1	4	yes	—
76	C₂²×Dic₄₇	—	2	4	no	—
77	C₂²×Dic₄₇	—	2	8	no	—
78	C₂²×Dic₄₇	—	4	4	no	—
79	C₂²×Dic₄₇	—	4	2	no	—
80	C₂²×Dic₄₇	—	4	2	no	—
81	C₄⋊C₄×C₄₇	—	2	4	no	—
82	C₄⋊C₄×C₄₇	—	2	8	no	—
83	C₄⋊C₄×C₄₇	C₄²	1	8	yes	complemented
84	C₄²×C₄₇	—	4	8	no	—
85	C₄²×C₄₇	C₄²	1	4	yes	—
86	C₄²×C₄₇	C₂²⋊C₄	1	4	yes	—
87	C₄²×C₄₇	C₄⋊C₄	1	4	yes	—
88	C₄²×C₄₇	C₄⋊C₄	1	4	yes	—
89	C₄⋊Dic₄₇	—	2	4	no	—
90	C₄⋊Dic₄₇	—	2	8	no	—
91	C₄⋊Dic₄₇	C₄²	1	8	yes	complemented
92	C₄×Dic₄₇	—	4	8	no	—
93	C₂×C₄₇⋊C₈	—	2	4	no	—
94	C₂×C₄₇⋊C₈	—	2	4	no	—
95	C₂×C₄₇⋊C₈	—	2	8	no	—
96	C₂×C₄₇⋊C₈	—	2	8	no	—
97	C₂×C₄₇⋊C₈	C₄²	1	8	yes	complemented
98	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
99	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
100	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
101	C₂³×C₄₇	C₄×D₄	1	4	yes	—
102	C₂³×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
103	C₂³×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
104	C₂³×C₄₇	#137	1	2	yes	—
105	C₂³×C₄₇	#137	1	2	yes	—
106	C₂×C₄×C₄₇	—	2	4	no	—
107	C₂×C₄×C₄₇	—	2	4	no	—
108	C₂×C₄×C₄₇	—	2	2	no	—
109	C₂×C₄×C₄₇	—	2	2	no	—
110	C₂×C₄×C₄₇	—	2	2	no	—
111	C₂×C₄×C₄₇	—	2	2	no	—
112	C₂×C₄×C₄₇	—	2	4	no	—
113	C₂×C₄×C₄₇	—	2	4	no	—
114	C₂×C₄×C₄₇	—	2	8	no	—
115	C₂×C₄×C₄₇	—	4	4	no	—
116	C₂×C₄×C₄₇	—	4	4	no	—
117	C₂×C₄×C₄₇	—	4	8	no	—
118	C₂×C₄×C₄₇	—	4	8	no	—
119	C₂×C₄×C₄₇	#95	1	4	yes	—
120	C₂×C₄×C₄₇	#95	1	4	yes	—
121	C₂×C₄×C₄₇	C₂×C₄²	1	2	yes	—
122	C₂×C₄×C₄₇	C₂×C₄²	1	2	yes	—
123	C₂×C₄×C₄₇	C₂×C₄²	1	1	yes	characteristic
124	C₂×C₄×C₄₇	C₂×C₄²	1	2	yes	—
125	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
126	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
127	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
128	C₂×C₄×C₄₇	#117	1	2	yes	—
129	C₂×C₄×C₄₇	#117	1	2	yes	—
130	C₂×C₄×C₄₇	#117	1	2	yes	—
131	C₂×C₄×C₄₇	C₄×D₄	1	4	yes	—
132	C₂×C₄×C₄₇	C₄×D₄	1	4	yes	—
133	C₂×C₄×C₄₇	C₄×Q₈	1	4	yes	—
134	C₂×Dic₄₇	—	2	8	no	—
135	C₂×Dic₄₇	—	4	4	no	—
136	C₂×Dic₄₇	—	4	4	no	—
137	C₂×Dic₄₇	—	4	8	no	—
138	C₂×Dic₄₇	—	4	8	no	—
139	C₄₇⋊C₈	—	2	8	no	—
140	#10703	—	47	1	no	maximal, Sylow
141	C₂²×C₄₇	C₂×#95	1	1	yes	characteristic
142	C₂²×C₄₇	C₄×C₂²⋊C₄	1	2	yes	—
143	C₂²×C₄₇	C₄×C₂²⋊C₄	1	2	yes	—
144	C₂²×C₄₇	C₄×C₄⋊C₄	1	2	yes	—
145	C₂²×C₄₇	#417	1	2	yes	—
146	C₂²×C₄₇	#417	1	2	yes	—
147	C₂²×C₄₇	#418	1	1	yes	characteristic
148	C₂²×C₄₇	#418	1	1	yes	characteristic
149	C₂²×C₄₇	#419	1	1	yes	characteristic
150	C₂²×C₄₇	#419	1	1	yes	characteristic
151	C₂²×C₄₇	#428	1	2	yes	—
152	C₂²×C₄₇	#428	1	2	yes	—
153	C₂²×C₄₇	#440	1	4	yes	—
154	C₂²×C₄₇	#440	1	4	yes	—
155	C₂²×C₄₇	#441	1	4	yes	—
156	C₂²×C₄₇	#442	1	4	yes	—
157	C₄×C₄₇	—	2	4	no	—
158	C₄×C₄₇	—	2	4	no	—
159	C₄×C₄₇	—	4	8	no	—
160	C₄×C₄₇	C₄³	1	1	yes	characteristic
161	C₄×C₄₇	#376	1	1	yes	characteristic
162	C₄×C₄₇	C₄×C₂²⋊C₄	1	2	yes	—
163	C₄×C₄₇	C₄×C₄⋊C₄	1	2	yes	—
164	C₄×C₄₇	C₄×C₄⋊C₄	1	2	yes	—
165	Dic₄₇	—	4	8	no	—
166	C₂²×#97	—	47	1	no	—
167	C₂×C₄×C₄⋊C₄	—	47	1	no	—
168	C₂×C₄×C₄⋊C₄	D₄₇	1	1	yes	characteristic
169	C₂×#340	—	47	4	no	—
170	C₂×C₄₇	C₄×#95	1	1	yes	characteristic
171	C₂×C₄₇	#1736	1	1	yes	characteristic
172	C₂×C₄₇	#1736	1	1	yes	characteristic
173	C₂×C₄₇	#1762	1	2	yes	—
174	C₂×C₄₇	#1762	1	2	yes	—
175	C₂×C₄₇	#1763	1	2	yes	—
176	C₂×C₄₇	#1763	1	2	yes	—
177	C₂×C₄₇	#1776	1	4	yes	—
178	C₂³×C₈	—	47	2	no	—
179	C₂²×C₄⋊C₄	—	47	2	no	—
180	C₂²×C₄⋊C₄	C₂×D₄₇	1	2	yes	—
181	C₂²×C₄²	—	2	1	no	—
182	C₂²×C₄²	—	94	1	no	—
183	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
184	C₂×#97	—	47	4	no	—
185	C₂×#97	—	94	2	no	—
186	C₂×#97	—	94	2	no	—
187	C₄×C₄⋊C₄	—	2	2	no	—
188	C₄×C₄⋊C₄	—	47	4	no	—
189	C₄×C₄⋊C₄	—	94	2	no	—
190	C₄×C₄⋊C₄	Dic₄₇	1	4	yes	complemented
191	C₂×#95	—	2	1	no	—
192	C₂×#95	—	94	1	no	—
193	#340	—	47	16	no	—
194	C₄₇	#10703	1	1	yes	characteristic, complemented, Sylow
195	C₂³×C₄	—	2	2	no	—
196	C₂³×C₄	—	94	2	no	—
197	C₂³×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
198	C₂³×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
199	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
200	C₂²×C₈	—	47	8	no	—
201	C₂²×C₈	—	47	4	no	—
202	C₂²×C₈	—	94	2	no	—
203	C₂²×C₈	—	94	4	no	—
204	C₂²×C₈	—	94	2	no	—
205	C₂×C₄⋊C₄	—	2	4	no	—
206	C₂×C₄⋊C₄	—	2	2	no	—
207	C₂×C₄⋊C₄	—	47	8	no	—
208	C₂×C₄⋊C₄	—	47	4	no	—
209	C₂×C₄⋊C₄	—	94	2	no	—
210	C₂×C₄⋊C₄	—	94	4	no	—
211	C₂×C₄⋊C₄	C₄×D₄₇	1	8	yes	—
212	C₂×C₄⋊C₄	C₂×Dic₄₇	1	4	yes	—
213	C₂×C₄²	—	2	4	no	—
214	C₂×C₄²	—	4	4	no	—
215	C₂×C₄²	—	94	4	no	—
216	C₂×C₄²	—	188	4	no	—
217	C₂×C₄²	Dic₉₄	1	2	yes	—
218	C₂×C₄²	C₄×D₄₇	1	2	yes	—
219	C₂×C₄²	C₄×D₄₇	1	2	yes	—
220	C₂×C₄²	D₁₈₈	1	2	yes	—
221	C₂×C₄²	C₂×Dic₄₇	1	2	yes	—
222	C₂×C₄²	C₂²⋊D₄₇	1	2	yes	—
223	#97	—	94	8	no	—
224	#95	—	2	4	no	—
225	#95	—	94	4	no	—
226	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
227	C₂²×C₄	—	2	2	no	—
228	C₂²×C₄	—	2	2	no	—
229	C₂²×C₄	—	2	2	no	—
230	C₂²×C₄	—	2	2	no	—
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	2	8	no	—
233	C₂²×C₄	—	4	2	no	—
234	C₂²×C₄	—	4	4	no	—
235	C₂²×C₄	—	4	2	no	—
236	C₂²×C₄	—	94	4	no	—
237	C₂²×C₄	—	94	8	no	—
238	C₂²×C₄	—	188	4	no	—
239	C₂²×C₄	—	188	2	no	—
240	C₂²×C₄	—	188	2	no	—
241	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
242	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
243	C₂²×C₄	(C₂×D₄₇)⋊C₄	1	2	yes	—
244	C₂²×C₄	(C₂×D₄₇)⋊C₄	1	2	yes	—
245	C₂²×C₄	C₂²⋊Dic₄₇	1	2	yes	—
246	C₂²×C₄	C₂²⋊Dic₄₇	1	2	yes	—
247	C₂²×C₄	C₂×Dic₉₄	1	1	yes	characteristic
248	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
249	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
250	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
251	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
252	C₂²×C₄	#10625350	1	4	yes	—
253	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
254	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
255	C₂×C₈	—	47	8	no	—
256	C₂×C₈	—	94	4	no	—
257	C₂×C₈	—	94	4	no	—
258	C₂×C₈	—	94	8	no	—
259	C₂×C₈	—	94	8	no	—
260	C₄⋊C₄	—	2	4	no	—
261	C₄⋊C₄	—	2	8	no	—
262	C₄⋊C₄	—	47	8	no	—
263	C₄⋊C₄	—	94	4	no	—
264	C₄⋊C₄	—	94	8	no	—
265	C₄⋊C₄	C₄×Dic₄₇	1	8	yes	complemented
266	C₄²	—	4	8	no	—
267	C₄²	—	188	8	no	—
268	C₄²	C₄×Dic₄₇	1	4	yes	—
269	C₄²	Dic₄₇⋊C₄	1	4	yes	—
270	C₄²	C₄⋊Dic₄₇	1	4	yes	—
271	C₄²	(C₂×D₄₇)⋊C₄	1	4	yes	—
272	C₂³	C₂×(C₂×D₄₇)⋊C₄	1	1	yes	characteristic
273	C₂³	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
274	C₂³	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
275	C₂³	C₄×C₂²⋊D₄₇	1	4	yes	—
276	C₂³	#13094049	1	2	yes	—
277	C₂³	#13094050	1	2	yes	—
278	C₂³	#13094054	1	2	yes	—
279	C₂³	#13094055	1	2	yes	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	2	no	—
283	C₂×C₄	—	2	2	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	2	2	no	—
286	C₂×C₄	—	2	4	no	—
287	C₂×C₄	—	2	4	no	—
288	C₂×C₄	—	2	8	no	—
289	C₂×C₄	—	4	8	no	—
290	C₂×C₄	—	4	8	no	—
291	C₂×C₄	—	4	4	no	—
292	C₂×C₄	—	4	4	no	—
293	C₂×C₄	—	94	8	no	—
294	C₂×C₄	—	188	8	no	—
295	C₂×C₄	—	188	8	no	—
296	C₂×C₄	—	188	4	no	—
297	C₂×C₄	—	188	4	no	—
298	C₂×C₄	C₄₇⋊#95	1	4	yes	—
299	C₂×C₄	C₄₇⋊#95	1	4	yes	—
300	C₂×C₄	C₄²×D₄₇	1	2	yes	—
301	C₂×C₄	C₄²×D₄₇	1	2	yes	—
302	C₂×C₄	C₂×C₄×Dic₄₇	1	1	yes	characteristic
303	C₂×C₄	C₂×C₄×Dic₄₇	1	2	yes	—
304	C₂×C₄	C₂×(C₂×D₄₇)⋊C₄	1	1	yes	characteristic
305	C₂×C₄	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
306	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
307	C₂×C₄	#13093981	1	2	yes	—
308	C₂×C₄	#13093981	1	2	yes	—
309	C₂×C₄	#13093983	1	2	yes	—
310	C₂×C₄	C₄×C₂²⋊D₄₇	1	4	yes	—
311	C₂×C₄	C₄×D₁₈₈	1	4	yes	—
312	C₂×C₄	C₄×Dic₉₄	1	4	yes	—
313	C₈	—	94	8	no	—
314	C₂²	C₂×C₄₇⋊#95	1	1	yes	characteristic
315	C₂²	C₄×C₂²⋊Dic₄₇	1	2	yes	—
316	C₂²	C₄×(C₂×D₄₇)⋊C₄	1	2	yes	—
317	C₂²	C₄×Dic₄₇⋊C₄	1	2	yes	—
318	C₂²	#15689122	1	2	yes	—
319	C₂²	#15689124	1	2	yes	—
320	C₂²	#15689127	1	1	yes	characteristic
321	C₂²	#15689128	1	1	yes	characteristic
322	C₂²	#15689131	1	1	yes	characteristic
323	C₂²	#15689132	1	1	yes	characteristic
324	C₂²	#15689163	1	2	yes	—
325	C₂²	#15689166	1	2	yes	—
326	C₂²	#15689221	1	4	yes	—
327	C₂²	#15689223	1	4	yes	—
328	C₂²	#15689228	1	4	yes	—
329	C₂²	#15689233	1	4	yes	—
330	C₄	—	2	4	no	—
331	C₄	—	2	4	no	—
332	C₄	—	4	8	no	—
333	C₄	—	188	8	no	—
334	C₄	C₄²×Dic₄₇	1	1	yes	characteristic
335	C₄	#15688969	1	1	yes	characteristic
336	C₄	C₄×(C₂×D₄₇)⋊C₄	1	2	yes	—
337	C₄	C₄×C₄⋊Dic₄₇	1	2	yes	—
338	C₄	C₄×Dic₄₇⋊C₄	1	2	yes	—
339	C₂	C₄×C₄₇⋊#95	1	1	yes	characteristic
340	C₂	#20243107	1	1	yes	characteristic
341	C₂	#20243109	1	1	yes	characteristic
342	C₂	#20243213	1	2	yes	—
343	C₂	#20243216	1	2	yes	—
344	C₂	#20243218	1	2	yes	—
345	C₂	#20243221	1	2	yes	—
346	C₂	#20243286	1	4	yes	—

	subgroup	G/H
center	C₂⁴	C₂×C₂²⋊D₄₇
commutator	C₄×C₄₇	C₄³
Frattini	C₂³×C₄	C₂²×D₄₇
Fitting	C₂×C₄×C₄⋊C₄×C₄₇	C₂
socle, prime radical	C₂⁴×C₄₇	C₂×D₄
cosocle	C₂³×C₄×C₄₇	C₂³
hypercenter	C₂×C₄×C₄⋊C₄	D₄₇
hypocenter	C₄₇	#10703
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄² ◁ C₂×C₄×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
10. C₂×#13093935	C₄	semidirect
12. C₄×C₄⋊Dic₄₇	C₄	semidirect
14. #15688885	C₄	semidirect
19. C₄×C₄⋊C₄×C₄₇	C₄	semidirect
83. C₄⋊C₄×C₄₇	C₄²	semidirect
91. C₄⋊Dic₄₇	C₄²	semidirect
97. C₂×C₄₇⋊C₈	C₄²	semidirect
190. C₄×C₄⋊C₄	Dic₄₇	semidirect
194. C₄₇	#10703	semidirect
265. C₄⋊C₄	C₄×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#13093935	2
C₂×C₄×C₄⋊Dic₄₇	2
C₂×#15688885	2
C₂×C₄×C₄⋊C₄×C₄₇	2
#10703	47