Subgroups — #26219593

Order 12032.

1002 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689150	C₂	1	1	yes	maximal, characteristic
2	C₂×#15689150	C₂	1	1	yes	maximal, characteristic
3	C₂×#15689147	C₂	1	1	yes	maximal, characteristic
4	C₂×#15689079	C₂	1	1	yes	maximal, characteristic
5	#20244112	C₂	1	4	yes	maximal, complemented
6	#20244107	C₂	1	4	yes	maximal, complemented
7	#20243085	C₂	1	1	yes	maximal, characteristic
8	C₂×#15688878	C₂	1	1	yes	maximal, characteristic
9	C₄₇×#2296	C₂	1	1	yes	maximal, characteristic
10	C₂²×#10625329	C₂²	1	1	yes	characteristic
11	C₂²×#10625329	C₂²	1	1	yes	characteristic
12	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
13	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
14	#15689150	—	2	4	no	—
15	#15689150	—	2	4	no	—
16	#15689147	—	2	4	no	—
17	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	4	yes	—
18	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	4	yes	—
19	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	4	yes	—
20	#15689079	—	2	4	no	—
21	C₂×#13093935	C₂²	1	2	yes	—
22	C₂×C₄×C₄₇⋊C₈	C₂²	1	2	yes	—
23	#15688878	C₂²	1	2	yes	—
24	#15688878	C₂²	1	2	yes	—
25	#15688878	C₂²	1	2	yes	—
26	#15688878	C₂²	1	2	yes	—
27	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
28	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
29	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
30	C₄₇×#389	C₄	1	2	yes	—
31	C₄₇×#389	C₄	1	2	yes	—
32	C₄₇×#385	C₄	1	4	yes	—
33	C₄×C₄⋊C₄×C₄₇	C₂²	1	4	yes	—
34	C₂×#10625329	—	2	2	no	—
35	C₂×#10625329	—	2	2	no	—
36	C₂×#10625329	—	2	2	no	—
37	C₂×#10625329	—	2	2	no	—
38	C₂×#10625329	—	2	2	no	—
39	C₂×#10625329	D₄	1	4	yes	—
40	C₂²×C₄₇⋊C₈	—	2	2	no	—
41	C₂²×C₄₇⋊C₈	—	2	2	no	—
42	C₂²×C₄₇⋊C₈	—	2	2	no	—
43	C₂²×C₄₇⋊C₈	—	2	2	no	—
44	C₂²×C₄₇⋊C₈	—	2	2	no	—
45	C₂²×C₄₇⋊C₈	Q₈	1	4	yes	—
46	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
47	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
48	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
49	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
50	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
51	C₄⋊(C₄₇⋊C₈)	—	2	8	no	—
52	C₄⋊(C₄₇⋊C₈)	—	2	8	no	—
53	C₄⋊(C₄₇⋊C₈)	—	2	8	no	—
54	#13093935	—	2	4	no	—
55	C₄×C₄₇⋊C₈	—	2	4	no	—
56	C₂³×C₄×C₄₇	C₂×C₄	1	2	yes	—
57	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
58	#117×C₄₇	—	2	2	no	—
59	#117×C₄₇	—	2	2	no	—
60	#117×C₄₇	D₄	1	4	yes	—
61	#117×C₄₇	Q₈	1	4	yes	—
62	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
63	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
64	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
65	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
66	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
67	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
68	C₂×C₄²×C₄₇	—	2	2	no	—
69	C₂×C₄²×C₄₇	—	2	2	no	—
70	C₂×C₄²×C₄₇	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄²×C₄₇	C₂×C₄	1	1	yes	characteristic
72	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
73	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
74	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
75	#95×C₄₇	C₂×C₄	1	4	yes	—
76	#95×C₄₇	C₂×C₄	1	4	yes	—
77	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
78	C₂²×C₄×C₄₇	—	2	4	no	—
79	C₂²×C₄×C₄₇	—	2	4	no	—
80	C₂²×C₄×C₄₇	—	4	2	no	—
81	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
83	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
84	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
89	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
90	C₂²×C₄×C₄₇	#41	1	2	yes	—
91	C₂²×C₄×C₄₇	#41	1	2	yes	—
92	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
93	C₄⋊C₄×C₄₇	—	2	4	no	—
94	C₄⋊C₄×C₄₇	—	2	8	no	—
95	C₄⋊C₄×C₄₇	—	4	4	no	—
96	C₄⋊C₄×C₄₇	C₄⋊C₄	1	8	yes	—
97	C₂²⋊C₄×C₄₇	—	2	4	no	—
98	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	8	yes	—
99	C₄²×C₄₇	—	2	2	no	—
100	C₄²×C₄₇	—	2	2	no	—
101	C₄²×C₄₇	—	2	2	no	—
102	C₄²×C₄₇	—	2	2	no	—
103	C₄²×C₄₇	—	2	2	no	—
104	C₄²×C₄₇	—	2	2	no	—
105	C₄²×C₄₇	C₂×D₄	1	4	yes	—
106	C₄²×C₄₇	C₂×Q₈	1	4	yes	—
107	#10625329	—	2	8	no	—
108	#10625329	—	4	4	no	—
109	C₂×C₄₇⋊C₈	—	2	8	no	—
110	C₂×C₄₇⋊C₈	—	2	1	no	—
111	C₂×C₄₇⋊C₈	—	2	2	no	—
112	C₂×C₄₇⋊C₈	—	2	1	no	—
113	C₂×C₄₇⋊C₈	—	2	1	no	—
114	C₂×C₄₇⋊C₈	—	2	1	no	—
115	C₂×C₄₇⋊C₈	—	2	2	no	—
116	C₂×C₄₇⋊C₈	—	2	2	no	—
117	C₂×C₄₇⋊C₈	—	2	2	no	—
118	C₂×C₄₇⋊C₈	—	2	2	no	—
119	C₂×C₄₇⋊C₈	—	2	2	no	—
120	C₂×C₄₇⋊C₈	—	2	2	no	—
121	C₂×C₄₇⋊C₈	—	2	2	no	—
122	C₂×C₄₇⋊C₈	—	4	4	no	—
123	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
124	C₂×C₄₇⋊C₈	C₂×Q₈	1	2	yes	—
125	C₂×C₄₇⋊C₈	C₂×Q₈	1	2	yes	—
126	C₂³×C₄₇	—	2	2	no	—
127	C₂³×C₄₇	—	2	2	no	—
128	C₂³×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
129	C₂³×C₄₇	C₄×D₄	1	2	yes	—
130	C₂³×C₄₇	C₄×Q₈	1	2	yes	—
131	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
132	C₂×C₄×C₄₇	—	2	2	no	—
133	C₂×C₄×C₄₇	—	2	4	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	—	2	2	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	4	no	—
138	C₂×C₄×C₄₇	—	2	4	no	—
139	C₂×C₄×C₄₇	—	2	2	no	—
140	C₂×C₄×C₄₇	—	2	2	no	—
141	C₂×C₄×C₄₇	—	2	4	no	—
142	C₂×C₄×C₄₇	—	4	8	no	—
143	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	8	yes	—
144	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
145	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
146	C₂×C₄×C₄₇	C₄×Q₈	1	2	yes	—
147	C₂×C₄×C₄₇	#121	1	4	yes	—
148	C₂×C₄×C₄₇	C₂²⋊Q₈	1	4	yes	—
149	C₂×C₄×C₄₇	#125	1	4	yes	—
150	C₂×C₄×C₄₇	C₄⋊Q₈	1	4	yes	—
151	C₂×C₄×C₄₇	#131	1	4	yes	—
152	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
155	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
156	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
158	C₄₇⋊C₈	—	2	4	no	—
159	C₄₇⋊C₈	—	2	2	no	—
160	C₄₇⋊C₈	—	2	2	no	—
161	C₄₇⋊C₈	—	4	2	no	—
162	C₄₇⋊C₈	—	4	2	no	—
163	#21148	—	47	1	no	maximal, Sylow
164	C₂²×C₄₇	—	2	4	no	—
165	C₂²×C₄₇	—	2	4	no	—
166	C₂²×C₄₇	—	2	2	no	—
167	C₂²×C₄₇	—	2	2	no	—
168	C₂²×C₄₇	#389	1	4	yes	—
169	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
170	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
171	C₂²×C₄₇	C₂×C₄×Q₈	1	1	yes	characteristic
172	C₂²×C₄₇	C₂×#131	1	2	yes	—
173	C₂²×C₄₇	#568	1	2	yes	—
174	C₄×C₄₇	—	2	8	no	—
175	C₄×C₄₇	—	2	4	no	—
176	C₄×C₄₇	—	4	4	no	—
177	C₄×C₄₇	—	4	2	no	—
178	C₄×C₄₇	#389	1	4	yes	—
179	C₄×C₄₇	C₂×#121	1	1	yes	characteristic
180	C₄×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
181	C₄×C₄₇	C₂×#125	1	1	yes	characteristic
182	C₄×C₄₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
183	C₂×#424	—	47	1	no	—
184	C₂×#424	—	47	1	no	—
185	C₂×#423	—	47	1	no	—
186	C₂×#405	—	47	1	no	—
187	#2296	D₄₇	1	1	yes	characteristic
188	#1940	—	47	4	no	—
189	#1939	—	47	4	no	—
190	#1729	—	47	1	no	—
191	C₂×#336	—	47	1	no	—
192	C₂×C₄₇	—	2	4	no	—
193	C₂×C₄₇	C₂×#389	1	1	yes	characteristic
194	C₂×C₄₇	#2906	1	2	yes	—
195	C₂×C₄₇	#2933	1	2	yes	—
196	C₂×C₄₇	#2960	1	1	yes	characteristic
197	C₂×C₄₇	#2961	1	1	yes	characteristic
198	C₂²×M₁₆	—	47	1	no	—
199	C₂²×M₁₆	—	47	1	no	—
200	C₂³×C₈	—	47	1	no	—
201	C₂³×C₈	—	47	1	no	—
202	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
203	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
204	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
205	#424	—	94	4	no	—
206	#424	—	94	4	no	—
207	#423	—	94	4	no	—
208	C₂×C₄⋊C₈	—	47	4	no	—
209	C₂×C₄⋊C₈	—	47	4	no	—
210	C₂×C₄⋊C₈	—	47	4	no	—
211	#405	—	94	4	no	—
212	C₂×#97	—	47	2	no	—
213	C₂×C₄×C₈	—	47	2	no	—
214	#389	Dic₄₇	1	2	yes	—
215	#389	Dic₄₇	1	2	yes	—
216	#385	Dic₄₇	1	4	yes	—
217	C₄×C₄⋊C₄	C₂×D₄₇	1	4	yes	—
218	#336	—	47	2	no	—
219	#336	—	47	2	no	—
220	#336	—	47	2	no	—
221	#336	—	47	2	no	—
222	C₄₇	#21148	1	1	yes	characteristic, complemented, Sylow
223	C₂³×C₄	C₂×Dic₄₇	1	2	yes	—
224	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
225	C₂×M₁₆	—	47	4	no	—
226	C₂×M₁₆	—	94	2	no	—
227	C₂×M₁₆	—	94	2	no	—
228	C₂×M₁₆	—	94	2	no	—
229	C₂×M₁₆	—	94	2	no	—
230	C₂×M₁₆	—	94	2	no	—
231	C₂²×C₈	—	47	4	no	—
232	C₂²×C₈	—	47	1	no	—
233	C₂²×C₈	—	47	1	no	—
234	C₂²×C₈	—	47	2	no	—
235	C₂²×C₈	—	47	2	no	—
236	C₂²×C₈	—	47	2	no	—
237	C₂²×C₈	—	94	2	no	—
238	C₂²×C₈	—	94	2	no	—
239	C₂²×C₈	—	94	2	no	—
240	C₂²×C₈	—	94	2	no	—
241	C₂²×C₈	—	94	2	no	—
242	#117	—	2	2	no	—
243	#117	—	2	2	no	—
244	#117	Dic₉₄	1	4	yes	—
245	#117	D₁₈₈	1	4	yes	—
246	C₂×C₄⋊C₄	C₂×Dic₄₇	1	2	yes	—
247	C₂×C₄⋊C₄	C₂×Dic₄₇	1	4	yes	—
248	C₂×C₄⋊C₄	C₂×Dic₄₇	1	4	yes	—
249	C₂×C₄⋊C₄	C₂×Dic₄₇	1	2	yes	—
250	C₂×C₂²⋊C₄	C₂×Dic₄₇	1	2	yes	—
251	C₂×C₂²⋊C₄	C₂×Dic₄₇	1	2	yes	—
252	C₂×C₄²	—	2	2	no	—
253	C₂×C₄²	—	2	2	no	—
254	C₂×C₄²	C₂×Dic₄₇	1	1	yes	characteristic
255	C₂×C₄²	C₂×Dic₄₇	1	1	yes	characteristic
256	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
257	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
258	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
259	C₄⋊C₈	—	94	8	no	—
260	C₄⋊C₈	—	94	8	no	—
261	C₄⋊C₈	—	94	8	no	—
262	#97	—	94	4	no	—
263	C₄×C₈	—	94	4	no	—
264	#95	C₂×Dic₄₇	1	4	yes	—
265	#95	C₂×Dic₄₇	1	4	yes	—
266	C₂⁴	C₂²×Dic₄₇	1	1	yes	characteristic
267	C₂²×C₄	—	2	4	no	—
268	C₂²×C₄	—	2	4	no	—
269	C₂²×C₄	—	4	2	no	—
270	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
271	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
272	C₂²×C₄	D₄×D₄₇	1	2	yes	—
273	C₂²×C₄	#10625352	1	2	yes	—
274	C₂²×C₄	Q₈×D₄₇	1	2	yes	—
275	C₂²×C₄	#10625354	1	2	yes	—
276	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
277	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
278	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
279	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
280	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
281	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
282	M₁₆	—	94	8	no	—
283	M₁₆	—	188	4	no	—
284	C₂×C₈	—	47	4	no	—
285	C₂×C₈	—	47	2	no	—
286	C₂×C₈	—	47	2	no	—
287	C₂×C₈	—	94	8	no	—
288	C₂×C₈	—	94	1	no	—
289	C₂×C₈	—	94	2	no	—
290	C₂×C₈	—	94	1	no	—
291	C₂×C₈	—	94	1	no	—
292	C₂×C₈	—	94	1	no	—
293	C₂×C₈	—	94	2	no	—
294	C₂×C₈	—	94	2	no	—
295	C₂×C₈	—	94	2	no	—
296	C₂×C₈	—	94	2	no	—
297	C₂×C₈	—	94	2	no	—
298	C₂×C₈	—	94	2	no	—
299	C₂×C₈	—	94	2	no	—
300	C₂×C₈	—	188	4	no	—
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	2	8	no	—
303	C₄⋊C₄	—	4	4	no	—
304	C₄⋊C₄	C₄⋊Dic₄₇	1	8	yes	—
305	C₂²⋊C₄	—	2	4	no	—
306	C₂²⋊C₄	C₄⋊Dic₄₇	1	8	yes	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	2	2	no	—
310	C₄²	—	2	2	no	—
311	C₄²	—	2	2	no	—
312	C₄²	—	2	2	no	—
313	C₄²	C₂×Dic₉₄	1	4	yes	—
314	C₄²	C₂×D₁₈₈	1	4	yes	—
315	C₂³	—	2	2	no	—
316	C₂³	—	2	2	no	—
317	C₂³	C₂×C₄⋊Dic₄₇	1	2	yes	—
318	C₂³	D₄×Dic₄₇	1	2	yes	—
319	C₂³	Q₈×Dic₄₇	1	2	yes	—
320	C₂³	C₂³×Dic₄₇	1	1	yes	characteristic
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	4	no	—
327	C₂×C₄	—	2	4	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	4	8	no	—
332	C₂×C₄	C₂×C₄⋊Dic₄₇	1	8	yes	—
333	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
334	C₂×C₄	D₄×Dic₄₇	1	2	yes	—
335	C₂×C₄	Q₈×Dic₄₇	1	2	yes	—
336	C₂×C₄	#13093999	1	4	yes	—
337	C₂×C₄	#13094004	1	4	yes	—
338	C₂×C₄	#13094015	1	4	yes	—
339	C₂×C₄	#13094023	1	4	yes	—
340	C₂×C₄	#13094031	1	4	yes	—
341	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
342	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
343	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
344	C₂×C₄	C₂²×Dic₉₄	1	1	yes	characteristic
345	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
346	C₂×C₄	C₂×#10625354	1	1	yes	characteristic
347	C₈	—	94	4	no	—
348	C₈	—	94	2	no	—
349	C₈	—	94	2	no	—
350	C₈	—	188	2	no	—
351	C₈	—	188	2	no	—
352	C₂²	—	2	4	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	4	no	—
356	C₂²	#15689022	1	4	yes	—
357	C₂²	C₂²×C₄⋊Dic₄₇	1	1	yes	characteristic
358	C₂²	C₂×D₄×Dic₄₇	1	1	yes	characteristic
359	C₂²	C₂×Q₈×Dic₄₇	1	1	yes	characteristic
360	C₂²	C₂×#13094031	1	2	yes	—
361	C₂²	#15689890	1	2	yes	—
362	C₄	—	2	8	no	—
363	C₄	—	2	4	no	—
364	C₄	—	4	2	no	—
365	C₄	—	4	4	no	—
366	C₄	#15689022	1	4	yes	—
367	C₄	C₂×#13093999	1	1	yes	characteristic
368	C₄	C₂×#13094004	1	1	yes	characteristic
369	C₄	C₂×#13094015	1	1	yes	characteristic
370	C₄	C₂×#13094023	1	1	yes	characteristic
371	C₂	—	2	4	no	—
372	C₂	C₂×#15689022	1	1	yes	characteristic
373	C₂	#20251956	1	2	yes	—
374	C₂	#20252115	1	2	yes	—
375	C₂	#20252323	1	1	yes	characteristic
376	C₂	#20252329	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²×C₄	C₂³×D₄₇
commutator, socle	C₂³×C₄₇	C₂³×C₄
Fitting	C₄₇×#2296	C₂
prime radical	C₂⁴×C₄₇	C₂²×C₄
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#2296	D₄₇
hypocenter	C₄₇	#21148
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ #2296

Complements

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

N	H ≅ G/N	type
5. #20244112	C₂	semidirect
6. #20244107	C₂	semidirect
222. C₄₇	#21148	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689150	2
C₂×#15689147	2
C₂×#15689079	2
#20244112	2
#20244107	2
#20243085	2
C₂×#15688878	2
C₄₇×#2296	2
#21148	47