Subgroups — #20256680

Order 6016.

1212 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15689676	C₂	1	1	yes	maximal, characteristic, complemented
2	#15689675	C₂	1	2	yes	maximal, complemented
3	#15689669	C₂	1	1	yes	maximal, characteristic, complemented
4	#15689668	C₂	1	2	yes	maximal, complemented
5	#15689659	C₂	1	2	yes	maximal, complemented
6	#15689654	C₂	1	2	yes	maximal, complemented
7	#15689653	C₂	1	4	yes	maximal, complemented
8	#15689650	C₂	1	4	yes	maximal, complemented
9	#15689634	C₂	1	1	yes	maximal, characteristic, complemented
10	#15689629	C₂	1	4	yes	maximal, complemented
11	#41×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689591	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×#10625352	C₂	1	4	yes	maximal, complemented
14	C₂²×C₄×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10625350	C₂²	1	1	yes	characteristic
17	C₂×#10625352	C₂²	1	4	yes	—
18	C₂³×Dic₄₇	C₂²	1	2	yes	—
19	#13094023	C₂²	1	2	yes	complemented
20	#13094022	C₂²	1	1	yes	characteristic, complemented
21	#13094020	C₂²	1	1	yes	characteristic, complemented
22	#13094019	C₂²	1	4	yes	complemented
23	#13094017	C₂²	1	4	yes	complemented
24	#13094015	C₂²	1	2	yes	complemented
25	#13094014	C₂²	1	4	yes	complemented
26	#13094013	C₂²	1	1	yes	characteristic, complemented
27	#13094011	C₂²	1	1	yes	characteristic, complemented
28	#13094010	C₂²	1	4	yes	complemented
29	#13094008	C₂²	1	4	yes	—
30	#13094007	C₂²	1	2	yes	—
31	#13094005	C₂²	1	4	yes	—
32	#13094003	C₂²	1	2	yes	—
33	#13094001	C₂²	1	4	yes	—
34	#13094001	C₂²	1	4	yes	—
35	#13093998	C₂²	1	2	yes	—
36	#13093996	C₂²	1	4	yes	—
37	#13093996	C₂²	1	4	yes	—
38	#13093993	C₂²	1	2	yes	—
39	Q₈×Dic₄₇	C₂²	1	2	yes	complemented
40	C₄×Dic₉₄	C₂²	1	4	yes	complemented
41	#13093989	C₂²	1	4	yes	complemented
42	#13093989	C₂²	1	2	yes	complemented
43	D₄×Dic₄₇	C₂²	1	4	yes	—
44	D₄×Dic₄₇	C₂²	1	4	yes	—
45	D₄×Dic₄₇	C₂²	1	2	yes	complemented
46	#13093986	C₂²	1	2	yes	complemented
47	C₄×C₂²⋊D₄₇	C₂²	1	4	yes	—
48	C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
49	(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	—
50	(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	—
51	(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	complemented
52	#13093983	C₂²	1	1	yes	characteristic
53	#13093983	C₂²	1	2	yes	complemented
54	#13093982	C₂²	1	4	yes	complemented
55	#13093981	C₂²	1	2	yes	complemented
56	#13093980	C₂²	1	4	yes	—
57	#13093980	C₂²	1	4	yes	complemented
58	C₂×C₄×Dic₄₇	C₂²	1	2	yes	—
59	C₂×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
60	C₂×C₄×Dic₄₇	C₂²	1	2	yes	—
61	C₂×C₄×Dic₄₇	C₂²	1	2	yes	—
62	C₂×C₄×Dic₄₇	C₂²	1	2	yes	—
63	C₂×C₄×Dic₄₇	C₂²	1	2	yes	—
64	C₂×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
65	C₂×C₄×Dic₄₇	C₂²	1	2	yes	complemented
66	C₄²×D₄₇	C₂²	1	2	yes	complemented
67	C₂×#41×C₄₇	C₂²	1	1	yes	characteristic
68	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
69	#123×C₄₇	C₂²	1	2	yes	—
70	C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	—
71	#121×C₄₇	C₂²	1	2	yes	—
72	#120×C₄₇	C₂²	1	2	yes	—
73	C₄×D₄×C₄₇	C₂²	1	4	yes	—
74	#117×C₄₇	C₂²	1	1	yes	characteristic
75	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
76	#41×C₄₇	—	2	4	no	—
77	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
78	C₂×D₄×C₄₇	C₂³	1	4	yes	—
79	C₂×D₄×C₄₇	C₂³	1	2	yes	—
80	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
81	C₂²×C₄×C₄₇	—	2	4	no	—
82	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
83	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
84	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
85	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
87	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
88	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
89	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
90	C₂²×Dic₄₇	—	2	8	no	—
91	C₂²×Dic₄₇	C₂³	1	2	yes	—
92	C₂²×Dic₄₇	C₂³	1	2	yes	—
93	C₂²×Dic₄₇	C₂³	1	2	yes	—
94	C₂²×Dic₄₇	C₂³	1	2	yes	—
95	C₂²×Dic₄₇	C₂³	1	2	yes	—
96	C₂²×Dic₄₇	C₂³	1	4	yes	—
97	C₂²×Dic₄₇	C₂³	1	2	yes	—
98	#10625352	—	2	16	no	—
99	#10625350	—	2	4	no	—
100	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
101	C₂×C₄×D₄₇	C₂³	1	2	yes	—
102	C₂×C₄×D₄₇	C₂³	1	4	yes	—
103	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
104	C₂×Dic₉₄	C₂³	1	4	yes	—
105	C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
106	C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
107	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
108	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
109	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
110	C₄²×C₄₇	C₂³	1	2	yes	—
111	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
112	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
113	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
114	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
115	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
116	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
117	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
118	C₄⋊Dic₄₇	C₂³	1	4	yes	—
119	C₄⋊Dic₄₇	C₂³	1	2	yes	—
120	C₄⋊Dic₄₇	C₂³	1	4	yes	—
121	Dic₄₇⋊C₄	C₂³	1	4	yes	—
122	Dic₄₇⋊C₄	C₂³	1	4	yes	—
123	Dic₄₇⋊C₄	C₂³	1	4	yes	—
124	Dic₄₇⋊C₄	C₂³	1	4	yes	—
125	Dic₄₇⋊C₄	C₂³	1	4	yes	—
126	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
127	C₄×Dic₄₇	C₂³	1	4	yes	—
128	C₄×Dic₄₇	C₂³	1	2	yes	—
129	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
130	C₄×Dic₄₇	C₂³	1	2	yes	—
131	C₄×Dic₄₇	C₂³	1	2	yes	—
132	C₄×Dic₄₇	C₂³	1	2	yes	—
133	C₄×Dic₄₇	C₂³	1	2	yes	—
134	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
135	C₄×Dic₄₇	C₂³	1	2	yes	—
136	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
137	C₄×Dic₄₇	C₂³	1	4	yes	—
138	C₄×Dic₄₇	C₂³	1	2	yes	—
139	C₂³×C₄₇	—	2	4	no	—
140	C₂³×C₄₇	—	2	2	no	—
141	C₂³×C₄₇	C₂⁴	1	2	yes	—
142	C₂³×C₄₇	C₂⁴	1	2	yes	—
143	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
144	C₂²×D₄₇	C₂⁴	1	2	yes	—
145	Q₈×C₄₇	—	2	2	no	—
146	D₄×C₄₇	—	2	8	no	—
147	D₄×C₄₇	—	2	4	no	—
148	D₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	—	2	4	no	—
151	C₂×C₄×C₄₇	—	2	4	no	—
152	C₂×C₄×C₄₇	—	2	4	no	—
153	C₂×C₄×C₄₇	#41	1	4	yes	complemented
154	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
155	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
156	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
157	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
158	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
159	C₂²⋊D₄₇	—	2	4	no	—
160	C₂²⋊D₄₇	—	2	8	no	—
161	C₂²⋊D₄₇	—	2	8	no	—
162	C₂×Dic₄₇	—	2	4	no	—
163	C₂×Dic₄₇	—	2	8	no	—
164	C₂×Dic₄₇	—	2	4	no	—
165	C₂×Dic₄₇	—	2	4	no	—
166	C₂×Dic₄₇	—	2	4	no	—
167	C₂×Dic₄₇	—	2	4	no	—
168	C₂×Dic₄₇	#41	1	8	yes	complemented
169	C₂×Dic₄₇	C₂⁴	1	2	yes	—
170	C₂×Dic₄₇	C₂⁴	1	2	yes	—
171	C₂×Dic₄₇	C₂⁴	1	2	yes	—
172	C₂×Dic₄₇	C₂⁴	1	4	yes	—
173	C₂×Dic₄₇	C₂⁴	1	2	yes	—
174	C₂×Dic₄₇	C₂⁴	1	2	yes	—
175	D₁₈₈	—	2	2	no	—
176	C₄×D₄₇	—	2	4	no	—
177	C₄×D₄₇	—	2	8	no	—
178	Dic₉₄	—	2	2	no	—
179	Dic₉₄	—	2	8	no	—
180	C₂²×C₄₇	—	2	8	no	—
181	C₂²×C₄₇	—	2	2	no	—
182	C₂²×C₄₇	—	2	2	no	—
183	C₂²×C₄₇	—	2	2	no	—
184	C₂²×C₄₇	—	2	4	no	—
185	C₂²×C₄₇	—	2	2	no	—
186	C₂²×C₄₇	C₂×#41	1	4	yes	—
187	C₂²×C₄₇	C₂×#41	1	2	yes	—
188	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
189	C₂×D₄₇	—	2	2	no	—
190	C₂×D₄₇	—	2	4	no	—
191	C₄×C₄₇	—	2	4	no	—
192	C₄×C₄₇	—	2	2	no	—
193	C₄×C₄₇	—	2	2	no	—
194	C₄×C₄₇	C₂×#41	1	2	yes	—
195	C₄×C₄₇	C₂×#41	1	2	yes	—
196	Dic₄₇	—	2	2	no	—
197	Dic₄₇	—	2	4	no	—
198	Dic₄₇	—	2	2	no	—
199	Dic₄₇	—	2	2	no	—
200	Dic₄₇	C₂×#41	1	4	yes	—
201	Dic₄₇	C₂×#41	1	4	yes	—
202	#3444	—	47	1	no	maximal, Sylow
203	C₂×C₄₇	—	2	4	no	—
204	C₂×C₄₇	—	2	2	no	—
205	C₂×C₄₇	—	4	2	no	—
206	C₂×C₄₇	C₂²×#41	1	2	yes	—
207	C₂×C₄₇	C₂²×#41	1	1	yes	characteristic
208	D₄₇	—	4	2	no	—
209	#533	—	47	2	no	—
210	#533	—	47	1	no	—
211	#532	—	47	1	no	—
212	#532	—	47	2	no	—
213	#529	—	47	4	no	—
214	#529	—	47	2	no	—
215	#529	—	47	2	no	—
216	#529	—	47	4	no	—
217	#525	—	47	1	no	—
218	#525	—	47	4	no	—
219	#525	D₄₇	1	1	yes	characteristic, complemented
220	C₄×#41	—	47	1	no	—
221	C₄×#41	—	47	4	no	—
222	C₄×#41	—	47	1	no	—
223	C₂²×C₄²	—	47	1	no	—
224	C₄₇	#3444	1	1	yes	characteristic, complemented, Sylow
225	C₂×#41	—	47	4	no	—
226	C₂×#41	—	47	1	no	—
227	C₂×#41	C₂×D₄₇	1	1	yes	characteristic
228	C₂³×C₄	—	47	2	no	—
229	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
230	C₄⋊Q₈	—	47	1	no	—
231	C₄⋊Q₈	—	47	2	no	—
232	#127	—	47	1	no	—
233	#126	—	47	4	no	—
234	#126	—	47	4	no	—
235	#125	—	47	4	no	—
236	#125	—	47	2	no	—
237	#124	—	47	1	no	—
238	#124	—	47	1	no	—
239	#124	—	47	4	no	—
240	#123	—	47	4	no	—
241	#123	—	47	2	no	—
242	#123	—	47	4	no	—
243	#123	C₂×D₄₇	1	2	yes	—
244	C₂²⋊Q₈	—	47	2	no	—
245	C₂²⋊Q₈	—	47	4	no	—
246	C₂²⋊Q₈	—	47	4	no	—
247	C₂²⋊Q₈	C₂×D₄₇	1	2	yes	—
248	#121	—	47	4	no	—
249	#121	—	47	4	no	—
250	#121	—	47	2	no	—
251	#121	C₂×D₄₇	1	2	yes	—
252	#120	—	47	2	no	—
253	#120	C₂×D₄₇	1	2	yes	—
254	C₄×Q₈	—	47	2	no	—
255	C₄×Q₈	—	47	4	no	—
256	C₄×Q₈	—	47	2	no	—
257	C₄×Q₈	—	47	4	no	—
258	C₄×D₄	—	47	4	no	—
259	C₄×D₄	—	47	4	no	—
260	C₄×D₄	—	47	2	no	—
261	C₄×D₄	—	47	4	no	—
262	C₄×D₄	—	47	4	no	—
263	C₄×D₄	—	47	2	no	—
264	C₄×D₄	—	47	4	no	—
265	C₄×D₄	—	47	4	no	—
266	C₄×D₄	—	47	4	no	—
267	C₄×D₄	C₂×D₄₇	1	4	yes	—
268	#117	—	47	1	no	—
269	#117	—	47	2	no	—
270	#117	—	47	4	no	—
271	#117	—	47	4	no	—
272	#117	—	47	4	no	—
273	#117	—	47	2	no	—
274	#117	C₂×D₄₇	1	1	yes	characteristic
275	C₂×C₄²	—	47	2	no	—
276	C₂×C₄²	—	47	2	no	—
277	C₂×C₄²	—	47	1	no	—
278	C₂×C₄²	—	47	2	no	—
279	C₂×C₄²	—	47	2	no	—
280	C₂×C₄²	—	47	2	no	—
281	C₂×C₄²	—	47	2	no	—
282	C₂×C₄²	—	47	1	no	—
283	C₂×C₄²	—	47	2	no	—
284	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
285	#41	—	2	4	no	—
286	#41	—	94	16	no	—
287	#41	—	94	4	no	—
288	C₂×Q₈	—	47	4	no	—
289	C₂×Q₈	—	47	1	no	—
290	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
291	C₂×D₄	—	47	4	no	—
292	C₂×D₄	—	47	2	no	—
293	C₂×D₄	—	47	4	no	—
294	C₂×D₄	—	47	1	no	—
295	C₂×D₄	C₂²×D₄₇	1	2	yes	—
296	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
297	C₂×D₄	C₂²×D₄₇	1	4	yes	—
298	C₂²×C₄	—	2	4	no	—
299	C₂²×C₄	—	47	2	no	—
300	C₂²×C₄	—	47	2	no	—
301	C₂²×C₄	—	47	2	no	—
302	C₂²×C₄	—	47	2	no	—
303	C₂²×C₄	—	47	2	no	—
304	C₂²×C₄	—	47	2	no	—
305	C₂²×C₄	—	47	4	no	—
306	C₂²×C₄	—	47	4	no	—
307	C₂²×C₄	—	47	2	no	—
308	C₂²×C₄	—	94	8	no	—
309	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
310	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
311	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
312	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
313	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
314	C₄⋊C₄	—	47	4	no	—
315	C₄⋊C₄	—	47	4	no	—
316	C₄⋊C₄	—	47	4	no	—
317	C₄⋊C₄	—	47	4	no	—
318	C₄⋊C₄	—	47	4	no	—
319	C₄⋊C₄	—	47	2	no	—
320	C₄⋊C₄	—	47	4	no	—
321	C₄⋊C₄	—	47	4	no	—
322	C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
323	C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
324	C₂²⋊C₄	—	47	4	no	—
325	C₂²⋊C₄	—	47	2	no	—
326	C₂²⋊C₄	—	47	4	no	—
327	C₂²⋊C₄	—	47	4	no	—
328	C₂²⋊C₄	—	47	4	no	—
329	C₂²⋊C₄	—	47	4	no	—
330	C₂²⋊C₄	—	47	4	no	—
331	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
332	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
333	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
334	C₄²	—	47	2	no	—
335	C₄²	—	47	2	no	—
336	C₄²	—	47	2	no	—
337	C₄²	—	47	2	no	—
338	C₄²	—	47	1	no	—
339	C₄²	—	47	2	no	—
340	C₄²	—	47	1	no	—
341	C₄²	—	47	4	no	—
342	C₄²	—	47	4	no	—
343	C₄²	—	47	1	no	—
344	C₄²	—	47	1	no	—
345	C₄²	—	47	2	no	—
346	C₄²	—	47	2	no	—
347	C₄²	C₂²×D₄₇	1	2	yes	—
348	C₂³	—	2	4	no	—
349	C₂³	—	2	2	no	—
350	C₂³	—	47	2	no	—
351	C₂³	C₂³×D₄₇	1	2	yes	—
352	C₂³	C₂³×D₄₇	1	2	yes	—
353	C₂³	C₂³×D₄₇	1	1	yes	characteristic
354	Q₈	—	2	2	no	—
355	Q₈	—	94	8	no	—
356	Q₈	—	94	2	no	—
357	D₄	—	2	8	no	—
358	D₄	—	2	4	no	—
359	D₄	—	2	2	no	—
360	D₄	—	94	8	no	—
361	D₄	—	94	8	no	—
362	D₄	—	94	4	no	—
363	D₄	—	94	2	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	2	4	no	—
366	C₂×C₄	—	2	4	no	—
367	C₂×C₄	—	2	4	no	—
368	C₂×C₄	—	47	8	no	—
369	C₂×C₄	—	47	2	no	—
370	C₂×C₄	—	47	2	no	—
371	C₂×C₄	—	47	2	no	—
372	C₂×C₄	—	47	2	no	—
373	C₂×C₄	—	47	4	no	—
374	C₂×C₄	—	47	2	no	—
375	C₂×C₄	—	94	8	no	—
376	C₂×C₄	—	94	4	no	—
377	C₂×C₄	—	94	4	no	—
378	C₂×C₄	—	94	4	no	—
379	C₂×C₄	—	94	4	no	—
380	C₂×C₄	—	94	8	no	—
381	C₂×C₄	—	94	4	no	—
382	C₂×C₄	—	94	4	no	—
383	C₂×C₄	#10625352	1	4	yes	complemented
384	C₂×C₄	C₂³×D₄₇	1	2	yes	—
385	C₂×C₄	C₂³×D₄₇	1	2	yes	—
386	C₂×C₄	C₂³×D₄₇	1	4	yes	—
387	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
388	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
389	C₂²	—	2	8	no	—
390	C₂²	—	2	2	no	—
391	C₂²	—	2	2	no	—
392	C₂²	—	2	2	no	—
393	C₂²	—	2	4	no	—
394	C₂²	—	2	2	no	—
395	C₂²	—	94	4	no	—
396	C₂²	—	94	2	no	—
397	C₂²	#41×D₄₇	1	4	yes	—
398	C₂²	C₂×#10625352	1	2	yes	—
399	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
400	C₄	—	2	4	no	—
401	C₄	—	2	2	no	—
402	C₄	—	2	2	no	—
403	C₄	—	47	4	no	—
404	C₄	—	47	4	no	—
405	C₄	—	94	2	no	—
406	C₄	—	94	2	no	—
407	C₄	—	94	4	no	—
408	C₄	—	94	2	no	—
409	C₄	C₂×#10625352	1	2	yes	—
410	C₄	C₂×#10625352	1	2	yes	—
411	C₂	—	2	4	no	—
412	C₂	—	2	2	no	—
413	C₂	—	4	2	no	—
414	C₂	—	188	2	no	—
415	C₂	C₂×#41×D₄₇	1	2	yes	—
416	C₂	C₂²×#10625352	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Frattini	C₂²	C₂⁴×D₄₇
Fitting	C₄₇×#525	C₂
hypercenter	#525	D₄₇
hypocenter	C₄₇	#3444
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #525

Complements

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

N	H ≅ G/N	type
1. #15689676	C₂	semidirect
2. #15689675	C₂	semidirect
3. #15689669	C₂	semidirect
4. #15689668	C₂	semidirect
5. #15689659	C₂	semidirect
6. #15689654	C₂	semidirect
7. #15689653	C₂	semidirect
8. #15689650	C₂	semidirect
9. #15689634	C₂	semidirect
10. #15689629	C₂	semidirect
11. #41×Dic₄₇	C₂	semidirect
12. #15689591	C₂	semidirect
13. C₄×#10625352	C₂	semidirect
14. C₂²×C₄×Dic₄₇	C₂	semidirect
15. C₄₇×#525	C₂	semidirect
19. #13094023	C₂²	semidirect
20. #13094022	C₂²	semidirect
21. #13094020	C₂²	semidirect
22. #13094019	C₂²	semidirect
23. #13094017	C₂²	semidirect
24. #13094015	C₂²	semidirect
25. #13094014	C₂²	semidirect
26. #13094013	C₂²	semidirect
27. #13094011	C₂²	semidirect
28. #13094010	C₂²	semidirect
39. Q₈×Dic₄₇	C₂²	semidirect
40. C₄×Dic₉₄	C₂²	semidirect
41. #13093989	C₂²	semidirect
42. #13093989	C₂²	semidirect
45. D₄×Dic₄₇	C₂²	semidirect
46. #13093986	C₂²	semidirect
48. C₄×C₂²⋊D₄₇	C₂²	semidirect
51. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
53. #13093983	C₂²	semidirect
54. #13093982	C₂²	semidirect
55. #13093981	C₂²	semidirect
57. #13093980	C₂²	semidirect
65. C₂×C₄×Dic₄₇	C₂²	semidirect
66. C₄²×D₄₇	C₂²	semidirect
153. C₂×C₄×C₄₇	#41	semidirect
168. C₂×Dic₄₇	#41	semidirect
219. #525	D₄₇	semidirect
224. C₄₇	#3444	semidirect
383. C₂×C₄	#10625352	semidirect