Subgroups — C₃₇×#28640 #22649893

Order 9472.

854 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#486	C₂	1	1	yes	maximal, characteristic
2	C₂×C₈×Q₈×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#2567	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₇×#2548	C₂	1	1	yes	maximal, characteristic
5	C₃₇×#2065	C₂	1	4	yes	maximal, complemented
6	C₃₇×#1987	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#1982	C₂	1	1	yes	maximal, characteristic
8	C₃₇×#1934	C₂	1	4	yes	maximal, complemented
9	C₄×#106×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
11	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
12	C₂×#124×C₃₇	—	2	1	no	—
13	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
14	C₃₇×#486	—	2	4	no	—
15	C₈×Q₈×C₃₇	—	2	4	no	—
16	C₂×#106×C₃₇	C₂²	1	2	yes	—
17	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
18	C₂×C₄⋊C₈×C₃₇	C₂²	1	2	yes	—
19	C₂×#102×C₃₇	C₂²	1	2	yes	—
20	C₂×#102×C₃₇	C₂²	1	2	yes	—
21	C₂×#102×C₃₇	C₂²	1	4	yes	—
22	C₂×C₄×C₈×C₃₇	C₂²	1	2	yes	—
23	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₃₇×#395	—	2	2	no	—
25	C₃₇×#394	—	2	2	no	—
26	C₃₇×#391	—	2	1	no	—
27	C₃₇×#390	—	2	1	no	—
28	C₃₇×#390	C₂²	1	4	yes	—
29	C₃₇×#389	C₂²	1	4	yes	—
30	C₃₇×#384	—	2	1	no	—
31	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
32	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
33	C₃₇×#340	C₂²	1	2	yes	—
34	C₃₇×#340	C₂²	1	4	yes	—
35	C₂²×Q₈×C₃₇	—	2	1	no	—
36	C₂²×Q₈×C₃₇	D₄	1	1	yes	characteristic
37	C₂²×D₄×C₃₇	—	2	1	no	—
38	C₂²×D₄×C₃₇	—	2	1	no	—
39	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
40	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
41	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
43	C₄⋊Q₈×C₃₇	—	2	2	no	—
44	C₄⋊Q₈×C₃₇	—	2	2	no	—
45	#127×C₃₇	—	2	2	no	—
46	#127×C₃₇	—	2	2	no	—
47	#124×C₃₇	—	4	4	no	—
48	C₄×Q₈×C₃₇	—	2	2	no	—
49	C₄×Q₈×C₃₇	—	2	2	no	—
50	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
51	C₂×C₄⋊C₄×C₃₇	—	2	4	no	—
52	C₂×C₄⋊C₄×C₃₇	D₄	1	1	yes	characteristic
53	C₂×C₄⋊C₄×C₃₇	D₄	1	2	yes	—
54	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
55	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
56	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
57	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
58	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
59	C₂×C₄²×C₃₇	—	2	1	no	—
60	C₂×C₄²×C₃₇	—	2	1	no	—
61	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
62	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
63	#106×C₃₇	—	2	4	no	—
64	C₄⋊C₈×C₃₇	—	2	4	no	—
65	C₄⋊C₈×C₃₇	—	2	2	no	—
66	#102×C₃₇	—	2	4	no	—
67	#102×C₃₇	—	2	4	no	—
68	#102×C₃₇	—	2	8	no	—
69	C₄×C₈×C₃₇	—	2	4	no	—
70	C₄×C₈×C₃₇	D₄	1	4	yes	—
71	#95×C₃₇	—	2	1	no	—
72	#95×C₃₇	—	2	1	no	—
73	#95×C₃₇	—	2	4	no	—
74	C₂⁴×C₃₇	—	2	2	no	—
75	C₂×Q₈×C₃₇	—	2	2	no	—
76	C₂×Q₈×C₃₇	—	2	2	no	—
77	C₂×Q₈×C₃₇	—	4	2	no	—
78	C₂×Q₈×C₃₇	—	8	2	no	—
79	C₂×Q₈×C₃₇	SD₁₆	1	4	yes	—
80	C₂×D₄×C₃₇	—	2	2	no	—
81	C₂×D₄×C₃₇	—	2	4	no	—
82	C₂×D₄×C₃₇	—	2	2	no	—
83	C₂×D₄×C₃₇	—	2	4	no	—
84	C₂×D₄×C₃₇	—	4	2	no	—
85	C₂×D₄×C₃₇	—	4	2	no	—
86	C₂×D₄×C₃₇	—	4	2	no	—
87	C₂×D₄×C₃₇	—	4	2	no	—
88	C₂×D₄×C₃₇	—	8	2	no	—
89	C₂²×C₄×C₃₇	—	2	2	no	—
90	C₂²×C₄×C₃₇	—	2	2	no	—
91	C₂²×C₄×C₃₇	—	2	2	no	—
92	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
97	C₂×C₈×C₃₇	—	2	2	no	—
98	C₂×C₈×C₃₇	—	2	2	no	—
99	C₂×C₈×C₃₇	—	2	2	no	—
100	C₂×C₈×C₃₇	—	2	4	no	—
101	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
102	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
103	C₄⋊C₄×C₃₇	—	2	4	no	—
104	C₄⋊C₄×C₃₇	—	2	2	no	—
105	C₄⋊C₄×C₃₇	—	2	2	no	—
106	C₄⋊C₄×C₃₇	—	2	2	no	—
107	C₄⋊C₄×C₃₇	—	2	2	no	—
108	C₄⋊C₄×C₃₇	—	2	2	no	—
109	C₄⋊C₄×C₃₇	—	2	2	no	—
110	C₄⋊C₄×C₃₇	—	4	2	no	—
111	C₄⋊C₄×C₃₇	—	8	4	no	—
112	C₄⋊C₄×C₃₇	#41	1	4	yes	—
113	C₂²⋊C₄×C₃₇	—	4	8	no	—
114	C₂²⋊C₄×C₃₇	—	8	4	no	—
115	C₄²×C₃₇	—	2	2	no	—
116	C₄²×C₃₇	—	2	2	no	—
117	C₄²×C₃₇	—	4	2	no	—
118	C₄²×C₃₇	—	4	2	no	—
119	C₄²×C₃₇	C₂×D₄	1	2	yes	—
120	C₄²×C₃₇	#41	1	2	yes	—
121	C₂³×C₃₇	—	4	2	no	—
122	C₂³×C₃₇	—	4	4	no	—
123	C₂³×C₃₇	—	4	2	no	—
124	C₂³×C₃₇	—	4	2	no	—
125	C₂³×C₃₇	—	4	4	no	—
126	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₃₇	—	2	8	no	—
128	Q₈×C₃₇	—	8	4	no	—
129	D₄×C₃₇	—	4	2	no	—
130	D₄×C₃₇	—	4	2	no	—
131	D₄×C₃₇	—	4	4	no	—
132	D₄×C₃₇	—	8	4	no	—
133	D₄×C₃₇	—	8	4	no	—
134	C₂×C₄×C₃₇	—	2	2	no	—
135	C₂×C₄×C₃₇	—	2	2	no	—
136	C₂×C₄×C₃₇	—	2	2	no	—
137	C₂×C₄×C₃₇	—	2	2	no	—
138	C₂×C₄×C₃₇	—	2	4	no	—
139	C₂×C₄×C₃₇	—	2	4	no	—
140	C₂×C₄×C₃₇	—	4	2	no	—
141	C₂×C₄×C₃₇	—	4	2	no	—
142	C₂×C₄×C₃₇	—	4	2	no	—
143	C₂×C₄×C₃₇	—	4	2	no	—
144	C₂×C₄×C₃₇	—	4	2	no	—
145	C₂×C₄×C₃₇	—	4	2	no	—
146	C₂×C₄×C₃₇	—	4	4	no	—
147	C₂×C₄×C₃₇	#121	1	2	yes	—
148	C₂×C₄×C₃₇	#121	1	2	yes	—
149	C₂×C₄×C₃₇	C₂×SD₁₆	1	4	yes	—
150	C₂×C₄×C₃₇	C₂×SD₁₆	1	2	yes	—
151	C₂×C₄×C₃₇	#135	1	2	yes	—
152	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₃₇	C₂×#41	1	2	yes	—
154	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₃₇	2₋¹⁺⁴	1	2	yes	—
156	C₈×C₃₇	—	2	2	no	—
157	C₈×C₃₇	—	2	2	no	—
158	C₈×C₃₇	—	4	2	no	—
159	#28640	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂²×C₃₇	—	8	4	no	—
161	C₂²×C₃₇	—	8	4	no	—
162	C₂²×C₃₇	—	8	2	no	—
163	C₂²×C₃₇	—	8	2	no	—
164	C₂²×C₃₇	—	8	2	no	—
165	C₂²×C₃₇	C₂×#121	1	1	yes	characteristic
166	C₂²×C₃₇	#548	1	2	yes	—
167	C₂²×C₃₇	C₂²×SD₁₆	1	1	yes	characteristic
168	C₂²×C₃₇	C₂×#135	1	1	yes	characteristic
169	C₂²×C₃₇	#576	1	2	yes	—
170	C₄×C₃₇	—	2	4	no	—
171	C₄×C₃₇	—	2	2	no	—
172	C₄×C₃₇	—	4	4	no	—
173	C₄×C₃₇	—	4	2	no	—
174	C₄×C₃₇	—	8	2	no	—
175	C₄×C₃₇	—	8	2	no	—
176	C₄×C₃₇	#465	1	4	yes	—
177	C₄×C₃₇	#532	1	1	yes	characteristic
178	C₄×C₃₇	#536	1	1	yes	characteristic
179	C₄×C₃₇	#556	1	2	yes	—
180	C₂×#486	C₂×C₃₇	1	1	yes	characteristic
181	C₂×C₈×Q₈	C₂×C₃₇	1	1	yes	characteristic, complemented
182	#2567	C₂×C₃₇	1	1	yes	characteristic, complemented
183	#2548	C₂×C₃₇	1	1	yes	characteristic
184	#2065	C₂×C₃₇	1	4	yes	complemented
185	#1987	C₂×C₃₇	1	1	yes	characteristic, complemented
186	#1982	C₂×C₃₇	1	1	yes	characteristic
187	#1934	C₂×C₃₇	1	4	yes	complemented
188	C₄×#106	C₂×C₃₇	1	1	yes	characteristic, complemented
189	C₂×C₃₇	—	16	2	no	—
190	C₂×C₃₇	#2545	1	1	yes	characteristic
191	C₂×C₃₇	C₂×#465	1	1	yes	characteristic
192	C₂×C₃₇	#3058	1	1	yes	characteristic
193	C₂×C₃₇	#3361	1	2	yes	—
194	C₂×C₃₇	#3362	1	2	yes	—
195	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
196	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
197	C₂×#124	—	2	1	no	—
198	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
199	#486	—	2	4	no	—
200	C₈×Q₈	—	2	4	no	—
201	C₂×#106	C₂²×C₃₇	1	2	yes	—
202	C₂×C₄⋊C₈	C₂²×C₃₇	1	2	yes	—
203	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
204	C₂×#102	C₂²×C₃₇	1	2	yes	—
205	C₂×#102	C₂²×C₃₇	1	4	yes	—
206	C₂×#102	C₂²×C₃₇	1	2	yes	—
207	C₂×C₄×C₈	C₂²×C₃₇	1	2	yes	—
208	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
209	#395	—	2	2	no	—
210	#394	—	2	2	no	—
211	#391	—	2	1	no	—
212	#390	—	2	1	no	—
213	#390	C₂²×C₃₇	1	4	yes	—
214	#389	C₂²×C₃₇	1	4	yes	—
215	#384	—	2	1	no	—
216	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
217	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
218	#340	C₂²×C₃₇	1	4	yes	—
219	#340	C₂²×C₃₇	1	2	yes	—
220	C₃₇	#28640	1	1	yes	characteristic, direct product factor, Sylow
221	C₂²×Q₈	—	2	1	no	—
222	C₂²×Q₈	D₄×C₃₇	1	1	yes	characteristic
223	C₂²×D₄	—	2	1	no	—
224	C₂²×D₄	—	2	1	no	—
225	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
226	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
227	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
228	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
229	C₄⋊Q₈	—	2	2	no	—
230	C₄⋊Q₈	—	2	2	no	—
231	#127	—	2	2	no	—
232	#127	—	2	2	no	—
233	#124	—	4	4	no	—
234	C₄×Q₈	—	2	2	no	—
235	C₄×Q₈	—	2	2	no	—
236	C₂×C₄⋊C₄	—	2	1	no	—
237	C₂×C₄⋊C₄	—	2	4	no	—
238	C₂×C₄⋊C₄	D₄×C₃₇	1	1	yes	characteristic
239	C₂×C₄⋊C₄	D₄×C₃₇	1	2	yes	—
240	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
241	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
242	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
243	C₂×C₂²⋊C₄	—	2	4	no	—
244	C₂×C₂²⋊C₄	—	2	4	no	—
245	C₂×C₄²	—	2	1	no	—
246	C₂×C₄²	—	2	1	no	—
247	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
248	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
249	#106	—	2	4	no	—
250	C₄⋊C₈	—	2	4	no	—
251	C₄⋊C₈	—	2	2	no	—
252	#102	—	2	4	no	—
253	#102	—	2	4	no	—
254	#102	—	2	8	no	—
255	C₄×C₈	—	2	4	no	—
256	C₄×C₈	D₄×C₃₇	1	4	yes	—
257	#95	—	2	1	no	—
258	#95	—	2	1	no	—
259	#95	—	2	4	no	—
260	C₂⁴	—	2	2	no	—
261	C₂×Q₈	—	2	2	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	4	2	no	—
264	C₂×Q₈	—	8	2	no	—
265	C₂×Q₈	SD₁₆×C₃₇	1	4	yes	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	4	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	2	4	no	—
270	C₂×D₄	—	4	2	no	—
271	C₂×D₄	—	4	2	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂×D₄	—	8	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
279	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
281	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
282	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	2	4	no	—
287	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
288	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
289	C₄⋊C₄	—	2	4	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	8	4	no	—
298	C₄⋊C₄	#41×C₃₇	1	4	yes	—
299	C₂²⋊C₄	—	4	8	no	—
300	C₂²⋊C₄	—	8	4	no	—
301	C₄²	—	2	2	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	4	2	no	—
304	C₄²	—	4	2	no	—
305	C₄²	C₂×D₄×C₃₇	1	2	yes	—
306	C₄²	#41×C₃₇	1	2	yes	—
307	C₂³	—	4	2	no	—
308	C₂³	—	4	4	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	4	no	—
312	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
313	Q₈	—	2	8	no	—
314	Q₈	—	8	4	no	—
315	D₄	—	4	2	no	—
316	D₄	—	4	2	no	—
317	D₄	—	4	4	no	—
318	D₄	—	8	4	no	—
319	D₄	—	8	4	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	4	no	—
325	C₂×C₄	—	2	4	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	#121×C₃₇	1	2	yes	—
334	C₂×C₄	#121×C₃₇	1	2	yes	—
335	C₂×C₄	C₂×SD₁₆×C₃₇	1	4	yes	—
336	C₂×C₄	C₂×SD₁₆×C₃₇	1	2	yes	—
337	C₂×C₄	#135×C₃₇	1	2	yes	—
338	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
339	C₂×C₄	C₂×#41×C₃₇	1	2	yes	—
340	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
341	C₂×C₄	2₋¹⁺⁴×C₃₇	1	2	yes	—
342	C₈	—	2	2	no	—
343	C₈	—	2	2	no	—
344	C₈	—	4	2	no	—
345	C₂²	—	8	2	no	—
346	C₂²	—	8	2	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	4	no	—
349	C₂²	—	8	4	no	—
350	C₂²	C₂×#121×C₃₇	1	1	yes	characteristic
351	C₂²	C₃₇×#548	1	2	yes	—
352	C₂²	C₂²×SD₁₆×C₃₇	1	1	yes	characteristic
353	C₂²	C₂×#135×C₃₇	1	1	yes	characteristic
354	C₂²	C₃₇×#576	1	2	yes	—
355	C₄	—	2	4	no	—
356	C₄	—	2	2	no	—
357	C₄	—	4	2	no	—
358	C₄	—	4	4	no	—
359	C₄	—	8	2	no	—
360	C₄	—	8	2	no	—
361	C₄	C₃₇×#465	1	4	yes	—
362	C₄	C₃₇×#532	1	1	yes	characteristic
363	C₄	C₃₇×#536	1	1	yes	characteristic
364	C₄	C₃₇×#556	1	2	yes	—
365	C₂	—	16	2	no	—
366	C₂	C₃₇×#2545	1	1	yes	characteristic
367	C₂	C₂×C₃₇×#465	1	1	yes	characteristic
368	C₂	C₃₇×#3058	1	1	yes	characteristic
369	C₂	C₃₇×#3361	1	2	yes	—
370	C₂	C₃₇×#3362	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
prime radical	C₂×#127×C₃₇	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₂×C₄×Q₈×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₈×Q₈×C₃₇	C₂	semidirect
3. C₃₇×#2567	C₂	semidirect
5. C₃₇×#2065	C₂	semidirect
6. C₃₇×#1987	C₂	semidirect
8. C₃₇×#1934	C₂	semidirect
9. C₄×#106×C₃₇	C₂	semidirect
159. #28640	C₃₇	direct (N × H)
181. C₂×C₈×Q₈	C₂×C₃₇	semidirect
182. #2567	C₂×C₃₇	semidirect
184. #2065	C₂×C₃₇	semidirect
185. #1987	C₂×C₃₇	semidirect
187. #1934	C₂×C₃₇	semidirect
188. C₄×#106	C₂×C₃₇	semidirect
220. C₃₇	#28640	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#486	2
C₂×C₈×Q₈×C₃₇	2
C₃₇×#2567	2
C₃₇×#2548	2
C₃₇×#2065	2
C₃₇×#1987	2
C₃₇×#1982	2
C₃₇×#1934	2
C₄×#106×C₃₇	2
#28640	37

Subgroups — C37×#28640 #22649893

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28640 #22649893