Subgroups — #18003296

Order 4736.

492 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	C₂×#11924544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×M₁₆×D₃₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#14558042	C₂	1	1	yes	maximal, characteristic
4	#14557612	C₂	1	1	yes	maximal, characteristic, complemented
5	#14557609	C₂	1	1	yes	maximal, characteristic, complemented
6	#14557609	C₂	1	1	yes	maximal, characteristic, complemented
7	#14557607	C₂	1	1	yes	maximal, characteristic, complemented
8	#14557605	C₂	1	1	yes	maximal, characteristic, complemented
9	#14557603	C₂	1	1	yes	maximal, characteristic, complemented
10	#14557601	C₂	1	1	yes	maximal, characteristic, complemented
11	#14557558	C₂	1	1	yes	maximal, characteristic, complemented
12	#14557498	C₂	1	1	yes	maximal, characteristic, complemented
13	#14557495	C₂	1	1	yes	maximal, characteristic, complemented
14	#14557487	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#436	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10596962	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₃₇	C₂²	1	1	yes	characteristic
18	#11924544	—	2	4	no	—
19	C₂×#10596934	C₂²	1	1	yes	characteristic
20	C₂×#10596929	C₂²	1	1	yes	characteristic
21	C₂×#10596929	C₂²	1	1	yes	characteristic
22	C₂×#10596929	C₂²	1	1	yes	characteristic
23	C₂×#10596929	C₂²	1	1	yes	characteristic
24	C₂×#10596929	C₂²	1	1	yes	characteristic, complemented
25	M₁₆×D₃₇	—	2	4	no	—
26	C₂²×#64436	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₈×D₃₇	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₃₇	C₂²	1	1	yes	characteristic
29	C₂×C₈×D₃₇	C₂²	1	1	yes	characteristic, complemented
30	#11924521	C₄	1	1	yes	characteristic
31	#11924518	C₄	1	1	yes	characteristic
32	#11924514	C₄	1	1	yes	characteristic
33	#11924513	C₄	1	1	yes	characteristic
34	#11924509	C₄	1	1	yes	characteristic
35	#11924508	C₄	1	1	yes	characteristic
36	#11924506	C₄	1	1	yes	characteristic
37	#11924504	C₄	1	1	yes	characteristic
38	C₄×D₁₄₈	C₂²	1	1	yes	characteristic
39	C₄×C₂²⋊D₃₇	C₂²	1	1	yes	characteristic
40	C₄×C₂²⋊D₃₇	C₂²	1	1	yes	characteristic
41	#11924493	C₂²	1	1	yes	characteristic
42	C₄⋊#64436	C₂²	1	1	yes	characteristic, complemented
43	#11924465	C₂²	1	1	yes	characteristic, complemented
44	#11924465	C₂²	1	1	yes	characteristic, complemented
45	C₂²⋊#64436	C₂²	1	1	yes	characteristic
46	C₂²⋊#64436	C₂²	1	1	yes	characteristic, complemented
47	#11924448	C₂²	1	1	yes	characteristic
48	#11924448	C₂²	1	1	yes	characteristic
49	#11924448	C₂²	1	1	yes	characteristic, complemented
50	#11924448	C₂²	1	1	yes	characteristic, complemented
51	#11924447	C₂²	1	1	yes	characteristic, complemented
52	#11924446	C₂²	1	1	yes	characteristic, complemented
53	C₈×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
54	C₂×M₁₆×C₃₇	C₂²	1	1	yes	characteristic
55	C₂×M₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
57	C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
58	C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
59	C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₃₇	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₃₇	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
68	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
69	C₂²×Dic₃₇	C₂×C₄	1	1	yes	characteristic
70	#10596962	—	2	2	no	—
71	#10596962	—	2	2	no	—
72	C₂×D₁₄₈	C₂×C₄	1	1	yes	characteristic
73	C₂×D₁₄₈	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₃₇	—	2	2	no	—
75	C₂×C₄×D₃₇	—	2	2	no	—
76	C₂×C₄×D₃₇	C₂×C₄	1	1	yes	characteristic
77	C₂×C₄×D₃₇	C₂×C₄	1	1	yes	characteristic
78	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
79	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
81	C₂×Dic₇₄	C₂×C₄	1	1	yes	characteristic
82	M₁₆×C₃₇	—	2	2	no	—
83	M₁₆×C₃₇	—	2	2	no	—
84	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
87	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
89	C₂²⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
90	C₂²⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
91	C₄²×C₃₇	C₂³	1	1	yes	characteristic
92	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
93	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
94	#10596938	C₂×C₄	1	1	yes	characteristic
95	#10596938	C₂×C₄	1	1	yes	characteristic
96	#10596938	C₂×C₄	1	1	yes	characteristic
97	#10596938	C₂×C₄	1	1	yes	characteristic
98	#10596938	C₂×C₄	1	1	yes	characteristic
99	#10596938	C₂×C₄	1	1	yes	characteristic
100	C₄⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
101	#10596936	C₂×C₄	1	1	yes	characteristic
102	#10596936	C₂×C₄	1	1	yes	characteristic
103	#10596936	C₂×C₄	1	1	yes	characteristic
104	#10596936	C₂×C₄	1	1	yes	characteristic
105	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
106	#10596934	—	2	2	no	—
107	C₂×#64436	—	2	2	no	—
108	C₂×#64436	C₂³	1	1	yes	characteristic
109	C₂×#64436	C₂³	1	1	yes	characteristic
110	C₂×#64436	C₂³	1	1	yes	characteristic
111	C₂×#64436	C₂³	1	1	yes	characteristic
112	#10596929	—	2	2	no	—
113	#10596929	—	2	2	no	—
114	#10596929	—	2	2	no	—
115	#10596929	—	2	2	no	—
116	#10596929	—	2	2	no	—
117	C₈×D₃₇	—	2	2	no	—
118	C₈×D₃₇	—	2	2	no	—
119	C₈×D₃₇	D₄	1	4	yes	complemented
120	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
121	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
122	C₂²×D₃₇	—	2	2	no	—
123	C₂²×D₃₇	—	4	1	no	—
124	C₂²×D₃₇	—	4	1	no	—
125	C₂²×D₃₇	C₂²×C₄	1	1	yes	characteristic
126	C₂²×D₃₇	C₂²×C₄	1	1	yes	characteristic
127	C₂²×D₃₇	C₂²×C₄	1	1	yes	characteristic
128	D₄×C₃₇	—	4	1	no	—
129	C₂×C₄×C₃₇	—	2	1	no	—
130	C₂×C₄×C₃₇	—	2	1	no	—
131	C₂×C₄×C₃₇	—	2	1	no	—
132	C₂×C₄×C₃₇	—	2	1	no	—
133	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
134	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
135	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
136	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
137	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
138	C₂²⋊D₃₇	—	2	2	no	—
139	C₂²⋊D₃₇	—	2	2	no	—
140	C₂²⋊D₃₇	—	4	1	no	—
141	C₂²⋊D₃₇	—	4	1	no	—
142	C₂×Dic₃₇	—	2	2	no	—
143	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
144	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
145	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
146	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
147	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
148	D₁₄₈	—	2	2	no	—
149	D₁₄₈	—	4	1	no	—
150	C₄×D₃₇	—	2	2	no	—
151	C₄×D₃₇	—	2	1	no	—
152	C₄×D₃₇	—	2	1	no	—
153	C₄×D₃₇	—	2	1	no	—
154	C₄×D₃₇	—	2	1	no	—
155	C₄×D₃₇	—	2	2	no	—
156	C₄×D₃₇	C₂×D₄	1	2	yes	—
157	C₄×D₃₇	#41	1	2	yes	—
158	Dic₇₄	—	2	2	no	—
159	C₈×C₃₇	—	2	1	no	—
160	C₈×C₃₇	—	2	1	no	—
161	C₈×C₃₇	—	2	1	no	—
162	C₈×C₃₇	C₂×D₄	1	2	yes	—
163	#64436	—	2	1	no	—
164	#64436	—	2	1	no	—
165	#64436	—	2	1	no	—
166	#64436	C₂×D₄	1	2	yes	—
167	C₂²×C₃₇	—	2	1	no	—
168	C₂²×C₃₇	—	2	1	no	—
169	C₂²×C₃₇	—	2	1	no	—
170	C₂²×C₃₇	—	2	1	no	—
171	C₂²×C₃₇	—	2	1	no	—
172	C₂²×C₃₇	—	2	1	no	—
173	C₂²×C₃₇	C₂³×C₄	1	1	yes	characteristic
174	C₂×D₃₇	—	2	1	no	—
175	C₂×D₃₇	—	2	1	no	—
176	C₂×D₃₇	—	2	1	no	—
177	C₂×D₃₇	—	2	1	no	—
178	C₂×D₃₇	—	2	1	no	—
179	C₂×D₃₇	—	2	1	no	—
180	C₂×D₃₇	—	2	1	no	—
181	C₂×D₃₇	—	2	1	no	—
182	C₂×D₃₇	—	4	4	no	—
183	C₂×D₃₇	C₄×D₄	1	2	yes	—
184	C₄×C₃₇	—	2	1	no	—
185	C₄×C₃₇	—	2	1	no	—
186	C₄×C₃₇	—	2	1	no	—
187	C₄×C₃₇	—	2	1	no	—
188	C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
189	C₄×C₃₇	C₂×#41	1	1	yes	characteristic
190	Dic₃₇	—	2	1	no	—
191	Dic₃₇	—	2	1	no	—
192	Dic₃₇	—	2	1	no	—
193	Dic₃₇	—	2	1	no	—
194	Dic₃₇	C₄×D₄	1	2	yes	—
195	#2930	—	37	1	no	maximal, Sylow
196	C₂×C₃₇	—	4	1	no	—
197	C₂×C₃₇	—	4	1	no	—
198	C₂×C₃₇	C₂×C₄×D₄	1	1	yes	characteristic
199	C₂×C₃₇	#568	1	1	yes	characteristic
200	C₂×C₃₇	#568	1	1	yes	characteristic
201	D₃₇	—	2	2	no	—
202	D₃₇	—	4	1	no	—
203	D₃₇	—	4	1	no	—
204	C₂×#131	—	37	1	no	—
205	C₂²×M₁₆	—	37	1	no	—
206	#525	—	37	1	no	—
207	#436	—	37	1	no	—
208	#436	—	37	1	no	—
209	#436	—	37	1	no	—
210	#436	D₃₇	1	1	yes	characteristic, complemented
211	#435	—	37	1	no	—
212	#435	—	37	1	no	—
213	#435	—	37	1	no	—
214	#435	—	37	1	no	—
215	#424	—	37	1	no	—
216	#408	—	37	1	no	—
217	#407	—	37	1	no	—
218	#405	—	37	1	no	—
219	C₃₇	#2930	1	1	yes	characteristic, complemented, Sylow
220	C₂×#41	—	37	1	no	—
221	C₂³×C₄	—	37	1	no	—
222	#131	—	74	4	no	—
223	C₂×M₁₆	—	37	1	no	—
224	C₂×M₁₆	—	37	1	no	—
225	C₂×M₁₆	—	37	1	no	—
226	C₂×M₁₆	—	37	1	no	—
227	C₂×M₁₆	—	37	1	no	—
228	C₂×M₁₆	—	37	1	no	—
229	C₂×M₁₆	—	74	4	no	—
230	C₂×M₁₆	C₂×D₃₇	1	1	yes	characteristic
231	C₂×M₁₆	C₂×D₃₇	1	1	yes	characteristic, complemented
232	C₂²×C₈	—	37	1	no	—
233	C₂²×C₈	—	37	1	no	—
234	C₂²×C₈	—	37	1	no	—
235	C₂²×C₈	—	37	1	no	—
236	#123	—	37	1	no	—
237	#123	—	37	1	no	—
238	C₂²⋊Q₈	—	37	1	no	—
239	C₂²⋊Q₈	—	37	1	no	—
240	#121	—	37	1	no	—
241	#121	—	37	1	no	—
242	#120	—	37	1	no	—
243	#120	—	37	1	no	—
244	C₄×D₄	—	37	1	no	—
245	C₄×D₄	—	37	1	no	—
246	C₄×D₄	—	37	1	no	—
247	C₄×D₄	C₂×D₃₇	1	1	yes	characteristic
248	#117	—	37	1	no	—
249	C₄⋊C₈	—	37	1	no	—
250	C₄⋊C₈	—	37	1	no	—
251	C₄⋊C₈	—	37	1	no	—
252	C₄⋊C₈	C₂×D₃₇	1	1	yes	characteristic, complemented
253	C₂²⋊C₈	—	37	1	no	—
254	C₂²⋊C₈	—	37	1	no	—
255	C₂²⋊C₈	—	37	1	no	—
256	C₂²⋊C₈	—	37	1	no	—
257	C₂²⋊C₈	—	37	1	no	—
258	C₂²⋊C₈	—	37	1	no	—
259	C₂²⋊C₈	C₂×D₃₇	1	1	yes	characteristic
260	C₂²⋊C₈	C₂×D₃₇	1	1	yes	characteristic, complemented
261	#97	—	37	1	no	—
262	#97	—	37	1	no	—
263	C₄×C₈	—	37	1	no	—
264	C₄×C₈	C₂×D₃₇	1	1	yes	characteristic, complemented
265	C₂⁴	—	37	1	no	—
266	#41	—	74	2	no	—
267	#41	—	74	2	no	—
268	C₂×Q₈	—	37	1	no	—
269	C₂×D₄	—	37	1	no	—
270	C₂×D₄	—	37	1	no	—
271	C₂×D₄	—	37	1	no	—
272	C₂×D₄	—	37	1	no	—
273	C₂×D₄	—	37	1	no	—
274	C₂×D₄	—	37	1	no	—
275	C₂×D₄	C₄×D₃₇	1	1	yes	characteristic
276	C₂²×C₄	—	37	1	no	—
277	C₂²×C₄	—	37	1	no	—
278	C₂²×C₄	—	37	1	no	—
279	C₂²×C₄	—	37	1	no	—
280	C₂²×C₄	—	37	1	no	—
281	C₂²×C₄	—	37	1	no	—
282	C₂²×C₄	—	74	2	no	—
283	C₂²×C₄	—	74	2	no	—
284	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
285	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
286	M₁₆	—	2	2	no	—
287	M₁₆	—	2	2	no	—
288	M₁₆	—	74	2	no	—
289	M₁₆	—	74	2	no	—
290	M₁₆	—	74	2	no	—
291	M₁₆	—	74	2	no	—
292	M₁₆	—	74	2	no	—
293	M₁₆	—	74	2	no	—
294	C₂×C₈	—	37	1	no	—
295	C₂×C₈	—	37	4	no	—
296	C₂×C₈	—	37	1	no	—
297	C₂×C₈	—	37	1	no	—
298	C₂×C₈	—	37	1	no	—
299	C₂×C₈	—	74	2	no	—
300	C₂×C₈	—	74	2	no	—
301	C₂×C₈	—	74	2	no	—
302	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
303	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
304	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
306	C₄⋊C₄	—	37	1	no	—
307	C₄⋊C₄	—	37	1	no	—
308	C₄⋊C₄	—	37	1	no	—
309	C₄⋊C₄	—	37	1	no	—
310	C₄⋊C₄	—	37	1	no	—
311	C₄⋊C₄	C₄×D₃₇	1	1	yes	characteristic
312	C₂²⋊C₄	—	37	1	no	—
313	C₂²⋊C₄	—	37	1	no	—
314	C₂²⋊C₄	—	37	1	no	—
315	C₂²⋊C₄	—	37	1	no	—
316	C₂²⋊C₄	—	37	1	no	—
317	C₂²⋊C₄	—	37	1	no	—
318	C₂²⋊C₄	—	37	1	no	—
319	C₂²⋊C₄	—	37	1	no	—
320	C₂²⋊C₄	C₄×D₃₇	1	1	yes	characteristic
321	C₂²⋊C₄	C₄×D₃₇	1	1	yes	characteristic
322	C₄²	—	37	1	no	—
323	C₄²	C₂²×D₃₇	1	1	yes	characteristic
324	C₂³	—	37	1	no	—
325	C₂³	—	37	1	no	—
326	C₂³	—	37	1	no	—
327	C₂³	—	74	2	no	—
328	C₂³	—	148	1	no	—
329	C₂³	—	148	1	no	—
330	C₂³	C₂×C₄×D₃₇	1	1	yes	characteristic
331	C₂³	C₂×C₄×D₃₇	1	1	yes	characteristic
332	Q₈	—	74	2	no	—
333	D₄	—	4	1	no	—
334	D₄	—	74	2	no	—
335	D₄	—	74	2	no	—
336	D₄	—	74	2	no	—
337	D₄	—	148	1	no	—
338	D₄	—	148	1	no	—
339	D₄	—	148	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	37	1	no	—
345	C₂×C₄	—	37	2	no	—
346	C₂×C₄	—	37	2	no	—
347	C₂×C₄	—	37	1	no	—
348	C₂×C₄	—	37	1	no	—
349	C₂×C₄	—	37	1	no	—
350	C₂×C₄	—	37	1	no	—
351	C₂×C₄	—	74	2	no	—
352	C₂×C₄	—	74	2	no	—
353	C₂×C₄	—	74	2	no	—
354	C₂×C₄	—	74	1	no	—
355	C₂×C₄	—	74	1	no	—
356	C₂×C₄	—	74	1	no	—
357	C₂×C₄	—	74	1	no	—
358	C₂×C₄	C₂×C₄×D₃₇	1	1	yes	characteristic
359	C₂×C₄	C₂×C₄×D₃₇	1	1	yes	characteristic
360	C₂×C₄	C₂×C₄×D₃₇	1	1	yes	characteristic
361	C₂×C₄	C₂×C₄×D₃₇	1	1	yes	characteristic
362	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
363	C₈	—	2	1	no	—
364	C₈	—	2	1	no	—
365	C₈	—	2	1	no	—
366	C₈	—	37	2	no	—
367	C₈	—	74	1	no	—
368	C₈	—	74	1	no	—
369	C₈	—	74	1	no	—
370	C₈	D₄×D₃₇	1	2	yes	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	37	2	no	—
378	C₂²	—	74	1	no	—
379	C₂²	—	74	1	no	—
380	C₂²	—	74	1	no	—
381	C₂²	—	74	1	no	—
382	C₂²	—	74	1	no	—
383	C₂²	—	74	1	no	—
384	C₂²	—	74	1	no	—
385	C₂²	—	74	1	no	—
386	C₂²	—	148	4	no	—
387	C₂²	C₂²×C₄×D₃₇	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	37	2	no	—
393	C₄	—	74	1	no	—
394	C₄	—	74	1	no	—
395	C₄	—	74	1	no	—
396	C₄	—	74	1	no	—
397	C₄	C₂×D₄×D₃₇	1	1	yes	characteristic
398	C₄	#41×D₃₇	1	1	yes	characteristic
399	C₂	—	4	1	no	—
400	C₂	—	4	1	no	—
401	C₂	—	74	2	no	—
402	C₂	—	148	1	no	—
403	C₂	—	148	1	no	—
404	C₂	C₄×D₄×D₃₇	1	1	yes	characteristic
405	C₂	#14558298	1	1	yes	characteristic
406	C₂	#14558299	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₃₇
commutator, socle	C₂²×C₃₇	C₂³×C₄
Fitting	C₃₇×#436	C₂
prime radical	#14558042	C₂
cosocle	C₂×C₄×C₃₇	C₂⁴
hypercenter	#436	D₃₇
hypocenter	C₃₇	#2930
LCS	G ▷ C₂²×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₂×C₄ ◁ #436

Complements

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

N	H ≅ G/N	type
1. C₂×#11924544	C₂	semidirect
2. C₂×M₁₆×D₃₇	C₂	semidirect
4. #14557612	C₂	semidirect
5. #14557609	C₂	semidirect
6. #14557609	C₂	semidirect
7. #14557607	C₂	semidirect
8. #14557605	C₂	semidirect
9. #14557603	C₂	semidirect
10. #14557601	C₂	semidirect
11. #14557558	C₂	semidirect
12. #14557498	C₂	semidirect
13. #14557495	C₂	semidirect
14. #14557487	C₂	semidirect
15. C₃₇×#436	C₂	semidirect
24. C₂×#10596929	C₂²	semidirect
26. C₂²×#64436	C₂²	semidirect
29. C₂×C₈×D₃₇	C₂²	semidirect
42. C₄⋊#64436	C₂²	semidirect
43. #11924465	C₂²	semidirect
44. #11924465	C₂²	semidirect
46. C₂²⋊#64436	C₂²	semidirect
49. #11924448	C₂²	semidirect
50. #11924448	C₂²	semidirect
51. #11924447	C₂²	semidirect
52. #11924446	C₂²	semidirect
53. C₈×Dic₃₇	C₂²	semidirect
55. C₂×M₁₆×C₃₇	C₂²	semidirect
57. C₄⋊C₈×C₃₇	C₂²	semidirect
59. C₂²⋊C₈×C₃₇	C₂²	semidirect
60. C₄×C₈×C₃₇	C₂²	semidirect
119. C₈×D₃₇	D₄	semidirect
210. #436	D₃₇	semidirect
219. C₃₇	#2930	semidirect
231. C₂×M₁₆	C₂×D₃₇	semidirect
252. C₄⋊C₈	C₂×D₃₇	semidirect
260. C₂²⋊C₈	C₂×D₃₇	semidirect
264. C₄×C₈	C₂×D₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11924544	2
C₂×M₁₆×D₃₇	2
#14558042	2
#14557612	2
#14557609	2
#14557607	2
#14557605	2
#14557603	2
#14557601	2
#14557558	2
#14557498	2
#14557495	2
#14557487	2
C₃₇×#436	2
#2930	37