Subgroups — C₃₇×#34220 #22655473

Order 9472.

2330 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#529	C₂	1	1	yes	maximal, characteristic
2	C₃₇×#2373	C₂	1	4	yes	maximal, complemented
3	C₃₇×#2359	C₂	1	4	yes	maximal, complemented
4	C₃₇×#2353	C₂	1	2	yes	maximal, complemented
5	C₃₇×#2349	C₂	1	2	yes	maximal, complemented
6	C₃₇×#2346	C₂	1	2	yes	maximal, complemented
7	C₃₇×#2343	C₂	1	2	yes	maximal, complemented
8	C₃₇×#2330	C₂	1	2	yes	maximal, complemented
9	C₃₇×#2326	C₂	1	2	yes	maximal, complemented
10	C₃₇×#2320	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#2319	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×C₂²⋊Q₈×C₃₇	C₂	1	2	yes	maximal, complemented
13	C₄×#121×C₃₇	C₂	1	2	yes	maximal
14	C₃₇×#2285	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#2276	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₇×#2275	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃₇×#376	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₇×#529	C₄	1	16	yes	complemented
19	C₂×#126×C₃₇	C₂²	1	2	yes	—
20	C₂×#125×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×#124×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#123×C₃₇	C₂²	1	2	yes	—
23	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	—
26	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
27	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
28	C₂×C₄×D₄×C₃₇	C₂²	1	4	yes	—
29	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
31	C₂×#117×C₃₇	C₂²	1	2	yes	—
32	C₂×#117×C₃₇	C₂²	1	2	yes	—
33	C₂²×C₄²×C₃₇	C₂²	1	2	yes	—
34	C₂²×C₄²×C₃₇	C₂²	1	1	yes	characteristic
35	C₃₇×#391	C₂²	1	2	yes	—
36	C₃₇×#390	C₂²	1	2	yes	—
37	C₃₇×#389	C₂²	1	4	yes	—
38	C₃₇×#389	C₂²	1	4	yes	—
39	C₃₇×#389	C₂²	1	2	yes	—
40	C₃₇×#389	C₂²	1	2	yes	—
41	C₃₇×#388	C₂²	1	4	yes	—
42	C₃₇×#388	C₂²	1	4	yes	—
43	C₃₇×#388	C₂²	1	4	yes	—
44	C₃₇×#388	C₂²	1	4	yes	—
45	C₃₇×#387	C₂²	1	4	yes	—
46	C₃₇×#387	C₂²	1	4	yes	—
47	C₃₇×#387	C₂²	1	4	yes	—
48	C₃₇×#387	C₂²	1	4	yes	—
49	C₃₇×#386	C₂²	1	4	yes	—
50	C₃₇×#385	C₂²	1	4	yes	—
51	C₃₇×#385	C₂²	1	4	yes	—
52	C₃₇×#385	C₂²	1	4	yes	—
53	C₃₇×#384	C₂²	1	2	yes	—
54	C₃₇×#383	C₂²	1	2	yes	—
55	C₃₇×#382	C₂²	1	2	yes	—
56	C₃₇×#382	C₂²	1	2	yes	—
57	C₃₇×#381	C₂²	1	2	yes	—
58	C₃₇×#380	C₂²	1	2	yes	—
59	C₃₇×#380	C₂²	1	2	yes	—
60	C₃₇×#380	C₂²	1	2	yes	—
61	C₄×C₄⋊C₄×C₃₇	C₂²	1	4	yes	—
62	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
63	C₄×C₄⋊C₄×C₃₇	C₂²	1	4	yes	—
64	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
65	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
66	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
67	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
68	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
69	C₄×C₂²⋊C₄×C₃₇	C₂²	1	4	yes	—
70	C₄×C₂²⋊C₄×C₃₇	C₂²	1	2	yes	—
71	C₄×C₂²⋊C₄×C₃₇	C₂²	1	4	yes	—
72	C₄×C₂²⋊C₄×C₃₇	C₂²	1	4	yes	—
73	C₃₇×#376	C₂²	1	2	yes	—
74	C₃₇×#376	C₂²	1	2	yes	—
75	C₃₇×#376	C₂²	1	1	yes	characteristic
76	C₃₇×#376	C₂²	1	1	yes	characteristic
77	C₃₇×#376	C₂²	1	2	yes	—
78	C₃₇×#376	C₂²	1	1	yes	characteristic
79	C₃₇×#376	C₂²	1	1	yes	characteristic
80	C₂×#95×C₃₇	C₂²	1	1	yes	characteristic
81	C₂×#95×C₃₇	C₂²	1	2	yes	—
82	C₂×#95×C₃₇	C₂²	1	1	yes	characteristic
83	C₂×#95×C₃₇	C₂²	1	2	yes	—
84	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
85	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
86	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
88	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
89	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₃₇	C₂³	1	4	yes	—
92	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
94	#126×C₃₇	C₂×C₄	1	16	yes	complemented
95	#125×C₃₇	C₂×C₄	1	8	yes	complemented
96	#124×C₃₇	C₂×C₄	1	8	yes	complemented
97	#123×C₃₇	C₂×C₄	1	16	yes	complemented
98	C₂²⋊Q₈×C₃₇	C₂×C₄	1	8	yes	complemented
99	#121×C₃₇	C₂×C₄	1	8	yes	—
100	C₄×Q₈×C₃₇	—	2	8	no	—
101	C₄×Q₈×C₃₇	C₂×C₄	1	8	yes	complemented
102	C₄×D₄×C₃₇	—	2	8	no	—
103	C₄×D₄×C₃₇	—	4	8	no	—
104	C₄×D₄×C₃₇	C₂×C₄	1	8	yes	complemented
105	C₄×D₄×C₃₇	C₂×C₄	1	16	yes	complemented
106	#117×C₃₇	—	4	4	no	—
107	#117×C₃₇	C₂×C₄	1	16	yes	complemented
108	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
109	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
110	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
111	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
112	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
113	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
114	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
115	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
117	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
118	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
119	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
120	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
121	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
123	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
124	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
125	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
126	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
127	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
128	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
129	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
130	C₂×C₄²×C₃₇	—	2	8	no	—
131	C₂×C₄²×C₃₇	C₂×C₄	1	8	yes	complemented
132	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
133	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
134	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
135	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
136	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
137	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
138	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
139	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
140	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
141	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
142	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
143	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
144	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
145	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
146	#95×C₃₇	C₂³	1	1	yes	characteristic
147	#95×C₃₇	C₂³	1	1	yes	characteristic
148	#95×C₃₇	C₂³	1	2	yes	—
149	#95×C₃₇	C₂³	1	1	yes	characteristic
150	#95×C₃₇	C₂³	1	1	yes	characteristic
151	#95×C₃₇	C₂³	1	2	yes	—
152	#95×C₃₇	C₂³	1	2	yes	—
153	#95×C₃₇	C₂³	1	2	yes	—
154	#95×C₃₇	C₂³	1	2	yes	—
155	#95×C₃₇	C₂³	1	2	yes	—
156	#95×C₃₇	C₂³	1	2	yes	—
157	#95×C₃₇	C₂³	1	4	yes	—
158	#95×C₃₇	C₂³	1	2	yes	—
159	#95×C₃₇	C₂³	1	4	yes	—
160	#95×C₃₇	C₂³	1	4	yes	—
161	#95×C₃₇	C₂³	1	4	yes	—
162	#95×C₃₇	C₂³	1	4	yes	—
163	#95×C₃₇	C₂³	1	4	yes	—
164	#95×C₃₇	C₂³	1	4	yes	—
165	C₂⁴×C₃₇	C₂⁴	1	2	yes	—
166	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
167	C₂×Q₈×C₃₇	—	2	4	no	—
168	C₂×Q₈×C₃₇	C₂²×C₄	1	4	yes	—
169	C₂×D₄×C₃₇	—	2	4	no	—
170	C₂×D₄×C₃₇	—	2	4	no	—
171	C₂×D₄×C₃₇	—	2	4	no	—
172	C₂×D₄×C₃₇	C₂²×C₄	1	8	yes	—
173	C₂×D₄×C₃₇	C₂²×C₄	1	4	yes	—
174	C₂²×C₄×C₃₇	—	2	2	no	—
175	C₂²×C₄×C₃₇	—	2	2	no	—
176	C₂²×C₄×C₃₇	—	2	4	no	—
177	C₂²×C₄×C₃₇	—	2	4	no	—
178	C₂²×C₄×C₃₇	—	2	4	no	—
179	C₂²×C₄×C₃₇	—	2	4	no	—
180	C₂²×C₄×C₃₇	—	2	4	no	—
181	C₂²×C₄×C₃₇	—	2	8	no	—
182	C₂²×C₄×C₃₇	—	4	2	no	—
183	C₂²×C₄×C₃₇	—	4	4	no	—
184	C₂²×C₄×C₃₇	—	4	2	no	—
185	C₂²×C₄×C₃₇	—	4	2	no	—
186	C₂²×C₄×C₃₇	—	4	4	no	—
187	C₂²×C₄×C₃₇	—	4	4	no	—
188	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
189	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
190	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
191	C₂²×C₄×C₃₇	C₂²×C₄	1	8	yes	—
192	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
195	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
196	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
197	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
198	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
202	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
204	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
207	C₄⋊C₄×C₃₇	—	2	4	no	—
208	C₄⋊C₄×C₃₇	—	2	8	no	—
209	C₄⋊C₄×C₃₇	—	2	4	no	—
210	C₄⋊C₄×C₃₇	—	4	4	no	—
211	C₄⋊C₄×C₃₇	—	4	4	no	—
212	C₄⋊C₄×C₃₇	—	4	4	no	—
213	C₄⋊C₄×C₃₇	—	4	4	no	—
214	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
215	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
216	C₄⋊C₄×C₃₇	C₂²×C₄	1	4	yes	—
217	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
218	C₄⋊C₄×C₃₇	C₂²×C₄	1	4	yes	—
219	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
220	C₂²⋊C₄×C₃₇	—	2	8	no	—
221	C₂²⋊C₄×C₃₇	—	2	8	no	—
222	C₂²⋊C₄×C₃₇	—	4	4	no	—
223	C₂²⋊C₄×C₃₇	—	4	4	no	—
224	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
225	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
226	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
227	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
228	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
229	C₄²×C₃₇	—	2	4	no	—
230	C₄²×C₃₇	—	2	4	no	—
231	C₄²×C₃₇	—	2	4	no	—
232	C₄²×C₃₇	—	2	8	no	—
233	C₄²×C₃₇	—	4	4	no	—
234	C₄²×C₃₇	—	4	2	no	—
235	C₄²×C₃₇	—	4	2	no	—
236	C₄²×C₃₇	—	4	4	no	—
237	C₄²×C₃₇	C₂²×C₄	1	4	yes	—
238	C₄²×C₃₇	C₂²×C₄	1	4	yes	—
239	C₄²×C₃₇	C₂²×C₄	1	4	yes	—
240	C₄²×C₃₇	C₂²×C₄	1	4	yes	—
241	C₄²×C₃₇	C₂²×C₄	1	8	yes	—
242	C₄²×C₃₇	#41	1	8	yes	—
243	C₂³×C₃₇	—	2	2	no	—
244	C₂³×C₃₇	—	2	2	no	—
245	C₂³×C₃₇	—	2	4	no	—
246	C₂³×C₃₇	—	2	2	no	—
247	C₂³×C₃₇	—	2	2	no	—
248	C₂³×C₃₇	—	2	4	no	—
249	C₂³×C₃₇	C₂³×C₄	1	4	yes	—
250	C₂³×C₃₇	C₂³×C₄	1	2	yes	—
251	C₂³×C₃₇	H(5,𝔽₂)	1	2	yes	—
252	C₂³×C₃₇	2₋¹⁺⁴	1	2	yes	—
253	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
254	Q₈×C₃₇	—	2	8	no	—
255	D₄×C₃₇	—	2	16	no	—
256	D₄×C₃₇	—	2	8	no	—
257	C₂×C₄×C₃₇	—	2	8	no	—
258	C₂×C₄×C₃₇	—	2	2	no	—
259	C₂×C₄×C₃₇	—	2	4	no	—
260	C₂×C₄×C₃₇	—	2	1	no	—
261	C₂×C₄×C₃₇	—	2	2	no	—
262	C₂×C₄×C₃₇	—	2	2	no	—
263	C₂×C₄×C₃₇	—	2	1	no	—
264	C₂×C₄×C₃₇	—	2	1	no	—
265	C₂×C₄×C₃₇	—	2	1	no	—
266	C₂×C₄×C₃₇	—	2	2	no	—
267	C₂×C₄×C₃₇	—	2	2	no	—
268	C₂×C₄×C₃₇	—	2	2	no	—
269	C₂×C₄×C₃₇	—	2	4	no	—
270	C₂×C₄×C₃₇	—	2	2	no	—
271	C₂×C₄×C₃₇	—	2	2	no	—
272	C₂×C₄×C₃₇	—	2	2	no	—
273	C₂×C₄×C₃₇	—	2	8	no	—
274	C₂×C₄×C₃₇	—	2	2	no	—
275	C₂×C₄×C₃₇	—	2	2	no	—
276	C₂×C₄×C₃₇	—	2	4	no	—
277	C₂×C₄×C₃₇	—	2	4	no	—
278	C₂×C₄×C₃₇	—	2	4	no	—
279	C₂×C₄×C₃₇	—	2	4	no	—
280	C₂×C₄×C₃₇	—	2	2	no	—
281	C₂×C₄×C₃₇	—	2	2	no	—
282	C₂×C₄×C₃₇	—	2	4	no	—
283	C₂×C₄×C₃₇	—	2	2	no	—
284	C₂×C₄×C₃₇	—	2	4	no	—
285	C₂×C₄×C₃₇	—	2	2	no	—
286	C₂×C₄×C₃₇	—	4	4	no	—
287	C₂×C₄×C₃₇	—	4	8	no	—
288	C₂×C₄×C₃₇	—	4	8	no	—
289	C₂×C₄×C₃₇	—	4	8	no	—
290	C₂×C₄×C₃₇	—	8	8	no	—
291	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
292	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
293	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
294	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
295	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
296	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
297	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
298	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
299	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
300	C₂×C₄×C₃₇	C₂×#41	1	4	yes	—
301	C₂×C₄×C₃₇	C₂×#41	1	4	yes	—
302	C₂×C₄×C₃₇	C₂×#41	1	4	yes	—
303	#34220	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
304	C₂²×C₃₇	—	2	2	no	—
305	C₂²×C₃₇	—	2	2	no	—
306	C₂²×C₃₇	—	2	4	no	—
307	C₂²×C₃₇	—	2	4	no	—
308	C₂²×C₃₇	—	2	4	no	—
309	C₂²×C₃₇	—	2	4	no	—
310	C₂²×C₃₇	—	2	4	no	—
311	C₂²×C₃₇	—	4	4	no	—
312	C₂²×C₃₇	—	4	4	no	—
313	C₂²×C₃₇	#520	1	4	yes	—
314	C₂²×C₃₇	C₂⁴×C₄	1	1	yes	characteristic
315	C₂²×C₃₇	C₂²×#41	1	2	yes	—
316	C₂²×C₃₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
317	C₂²×C₃₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
318	C₂²×C₃₇	#585	1	2	yes	—
319	C₄×C₃₇	—	2	2	no	—
320	C₄×C₃₇	—	2	4	no	—
321	C₄×C₃₇	—	2	2	no	—
322	C₄×C₃₇	—	2	2	no	—
323	C₄×C₃₇	—	2	4	no	—
324	C₄×C₃₇	—	2	2	no	—
325	C₄×C₃₇	—	2	4	no	—
326	C₄×C₃₇	—	2	2	no	—
327	C₄×C₃₇	—	2	4	no	—
328	C₄×C₃₇	—	2	4	no	—
329	C₄×C₃₇	—	4	4	no	—
330	C₄×C₃₇	—	4	2	no	—
331	C₄×C₃₇	—	4	4	no	—
332	C₄×C₃₇	—	4	2	no	—
333	C₄×C₃₇	C₄×#41	1	4	yes	—
334	C₂×#529	C₂×C₃₇	1	1	yes	characteristic
335	#2373	C₂×C₃₇	1	4	yes	complemented
336	#2359	C₂×C₃₇	1	4	yes	complemented
337	#2353	C₂×C₃₇	1	2	yes	complemented
338	#2349	C₂×C₃₇	1	2	yes	complemented
339	#2346	C₂×C₃₇	1	2	yes	complemented
340	#2343	C₂×C₃₇	1	2	yes	complemented
341	#2330	C₂×C₃₇	1	2	yes	complemented
342	#2326	C₂×C₃₇	1	2	yes	complemented
343	#2320	C₂×C₃₇	1	1	yes	characteristic, complemented
344	#2319	C₂×C₃₇	1	1	yes	characteristic, complemented
345	C₄×C₂²⋊Q₈	C₂×C₃₇	1	2	yes	complemented
346	C₄×#121	C₂×C₃₇	1	2	yes	—
347	#2285	C₂×C₃₇	1	1	yes	characteristic, complemented
348	#2276	C₂×C₃₇	1	1	yes	characteristic, complemented
349	#2275	C₂×C₃₇	1	1	yes	characteristic, complemented
350	C₂×#376	C₂×C₃₇	1	1	yes	characteristic, complemented
351	C₂×C₃₇	—	2	4	no	—
352	C₂×C₃₇	—	4	4	no	—
353	C₂×C₃₇	C₂×C₄×#41	1	1	yes	characteristic
354	C₂×C₃₇	C₂×#520	1	1	yes	characteristic
355	C₂×C₃₇	#3428	1	1	yes	characteristic
356	C₂×C₃₇	#3494	1	2	yes	—
357	C₂×C₃₇	#3495	1	2	yes	—
358	#529	C₄×C₃₇	1	16	yes	complemented
359	C₂×#126	C₂²×C₃₇	1	2	yes	—
360	C₂×#125	C₂²×C₃₇	1	1	yes	characteristic
361	C₂×#124	C₂²×C₃₇	1	1	yes	characteristic
362	C₂×#123	C₂²×C₃₇	1	2	yes	—
363	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
364	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
365	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	—
366	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
367	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
368	C₂×C₄×D₄	C₂²×C₃₇	1	4	yes	—
369	C₂×C₄×D₄	C₂²×C₃₇	1	1	yes	characteristic
370	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
371	C₂×#117	C₂²×C₃₇	1	2	yes	—
372	C₂×#117	C₂²×C₃₇	1	2	yes	—
373	C₂²×C₄²	C₂²×C₃₇	1	2	yes	—
374	C₂²×C₄²	C₂²×C₃₇	1	1	yes	characteristic
375	#391	C₂²×C₃₇	1	2	yes	—
376	#390	C₂²×C₃₇	1	2	yes	—
377	#389	C₂²×C₃₇	1	2	yes	—
378	#389	C₂²×C₃₇	1	2	yes	—
379	#389	C₂²×C₃₇	1	4	yes	—
380	#389	C₂²×C₃₇	1	4	yes	—
381	#388	C₂²×C₃₇	1	4	yes	—
382	#388	C₂²×C₃₇	1	4	yes	—
383	#388	C₂²×C₃₇	1	4	yes	—
384	#388	C₂²×C₃₇	1	4	yes	—
385	#387	C₂²×C₃₇	1	4	yes	—
386	#387	C₂²×C₃₇	1	4	yes	—
387	#387	C₂²×C₃₇	1	4	yes	—
388	#387	C₂²×C₃₇	1	4	yes	—
389	#386	C₂²×C₃₇	1	4	yes	—
390	#385	C₂²×C₃₇	1	4	yes	—
391	#385	C₂²×C₃₇	1	4	yes	—
392	#385	C₂²×C₃₇	1	4	yes	—
393	#384	C₂²×C₃₇	1	2	yes	—
394	#383	C₂²×C₃₇	1	2	yes	—
395	#382	C₂²×C₃₇	1	2	yes	—
396	#382	C₂²×C₃₇	1	2	yes	—
397	#381	C₂²×C₃₇	1	2	yes	—
398	#380	C₂²×C₃₇	1	2	yes	—
399	#380	C₂²×C₃₇	1	2	yes	—
400	#380	C₂²×C₃₇	1	2	yes	—
401	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
402	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
404	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
405	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
406	C₄×C₄⋊C₄	C₂²×C₃₇	1	4	yes	—
407	C₄×C₄⋊C₄	C₂²×C₃₇	1	4	yes	—
408	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
409	C₄×C₂²⋊C₄	C₂²×C₃₇	1	4	yes	—
410	C₄×C₂²⋊C₄	C₂²×C₃₇	1	2	yes	—
411	C₄×C₂²⋊C₄	C₂²×C₃₇	1	4	yes	—
412	C₄×C₂²⋊C₄	C₂²×C₃₇	1	4	yes	—
413	#376	C₂²×C₃₇	1	1	yes	characteristic
414	#376	C₂²×C₃₇	1	2	yes	—
415	#376	C₂²×C₃₇	1	1	yes	characteristic
416	#376	C₂²×C₃₇	1	1	yes	characteristic
417	#376	C₂²×C₃₇	1	2	yes	—
418	#376	C₂²×C₃₇	1	2	yes	—
419	#376	C₂²×C₃₇	1	1	yes	characteristic
420	C₂×#95	C₂²×C₃₇	1	2	yes	—
421	C₂×#95	C₂²×C₃₇	1	1	yes	characteristic
422	C₂×#95	C₂²×C₃₇	1	1	yes	characteristic
423	C₂×#95	C₂²×C₃₇	1	2	yes	—
424	C₃₇	#34220	1	1	yes	characteristic, direct product factor, Sylow
425	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
426	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
427	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
428	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
429	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
430	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
431	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₃₇	1	4	yes	—
433	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
434	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
435	#126	C₂×C₄×C₃₇	1	16	yes	complemented
436	#125	C₂×C₄×C₃₇	1	8	yes	complemented
437	#124	C₂×C₄×C₃₇	1	8	yes	complemented
438	#123	C₂×C₄×C₃₇	1	16	yes	complemented
439	C₂²⋊Q₈	C₂×C₄×C₃₇	1	8	yes	complemented
440	#121	C₂×C₄×C₃₇	1	8	yes	—
441	C₄×Q₈	—	2	8	no	—
442	C₄×Q₈	C₂×C₄×C₃₇	1	8	yes	complemented
443	C₄×D₄	—	2	8	no	—
444	C₄×D₄	—	4	8	no	—
445	C₄×D₄	C₂×C₄×C₃₇	1	8	yes	complemented
446	C₄×D₄	C₂×C₄×C₃₇	1	16	yes	complemented
447	#117	—	4	4	no	—
448	#117	C₂×C₄×C₃₇	1	16	yes	complemented
449	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
451	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
453	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
454	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
455	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
457	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
458	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
459	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
461	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
470	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
471	C₂×C₄²	—	2	8	no	—
472	C₂×C₄²	C₂×C₄×C₃₇	1	8	yes	complemented
473	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
474	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
475	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
476	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
477	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
478	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
479	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
480	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
481	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
482	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
483	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
484	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
485	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
486	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
487	#95	C₂³×C₃₇	1	1	yes	characteristic
488	#95	C₂³×C₃₇	1	1	yes	characteristic
489	#95	C₂³×C₃₇	1	2	yes	—
490	#95	C₂³×C₃₇	1	1	yes	characteristic
491	#95	C₂³×C₃₇	1	1	yes	characteristic
492	#95	C₂³×C₃₇	1	2	yes	—
493	#95	C₂³×C₃₇	1	2	yes	—
494	#95	C₂³×C₃₇	1	2	yes	—
495	#95	C₂³×C₃₇	1	2	yes	—
496	#95	C₂³×C₃₇	1	2	yes	—
497	#95	C₂³×C₃₇	1	2	yes	—
498	#95	C₂³×C₃₇	1	4	yes	—
499	#95	C₂³×C₃₇	1	2	yes	—
500	#95	C₂³×C₃₇	1	4	yes	—
501	#95	C₂³×C₃₇	1	4	yes	—
502	#95	C₂³×C₃₇	1	4	yes	—
503	#95	C₂³×C₃₇	1	4	yes	—
504	#95	C₂³×C₃₇	1	4	yes	—
505	#95	C₂³×C₃₇	1	4	yes	—
506	C₂⁴	C₂⁴×C₃₇	1	2	yes	—
507	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
508	C₂×Q₈	—	2	4	no	—
509	C₂×Q₈	C₂²×C₄×C₃₇	1	4	yes	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	C₂²×C₄×C₃₇	1	8	yes	—
514	C₂×D₄	C₂²×C₄×C₃₇	1	4	yes	—
515	C₂²×C₄	—	2	2	no	—
516	C₂²×C₄	—	2	2	no	—
517	C₂²×C₄	—	2	4	no	—
518	C₂²×C₄	—	2	4	no	—
519	C₂²×C₄	—	2	4	no	—
520	C₂²×C₄	—	2	4	no	—
521	C₂²×C₄	—	2	4	no	—
522	C₂²×C₄	—	2	8	no	—
523	C₂²×C₄	—	4	2	no	—
524	C₂²×C₄	—	4	4	no	—
525	C₂²×C₄	—	4	2	no	—
526	C₂²×C₄	—	4	2	no	—
527	C₂²×C₄	—	4	4	no	—
528	C₂²×C₄	—	4	4	no	—
529	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
530	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
531	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
532	C₂²×C₄	C₂²×C₄×C₃₇	1	8	yes	—
533	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
534	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
535	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
536	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
537	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
538	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
540	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
541	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
542	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
543	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
545	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
546	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
547	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
548	C₄⋊C₄	—	2	4	no	—
549	C₄⋊C₄	—	2	8	no	—
550	C₄⋊C₄	—	2	4	no	—
551	C₄⋊C₄	—	4	4	no	—
552	C₄⋊C₄	—	4	4	no	—
553	C₄⋊C₄	—	4	4	no	—
554	C₄⋊C₄	—	4	4	no	—
555	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
556	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
557	C₄⋊C₄	C₂²×C₄×C₃₇	1	4	yes	—
558	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
559	C₄⋊C₄	C₂²×C₄×C₃₇	1	4	yes	—
560	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
561	C₂²⋊C₄	—	2	8	no	—
562	C₂²⋊C₄	—	2	8	no	—
563	C₂²⋊C₄	—	4	4	no	—
564	C₂²⋊C₄	—	4	4	no	—
565	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
566	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
567	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
568	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
569	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
570	C₄²	—	2	4	no	—
571	C₄²	—	2	4	no	—
572	C₄²	—	2	4	no	—
573	C₄²	—	2	8	no	—
574	C₄²	—	4	4	no	—
575	C₄²	—	4	2	no	—
576	C₄²	—	4	2	no	—
577	C₄²	—	4	4	no	—
578	C₄²	C₂²×C₄×C₃₇	1	4	yes	—
579	C₄²	C₂²×C₄×C₃₇	1	4	yes	—
580	C₄²	C₂²×C₄×C₃₇	1	4	yes	—
581	C₄²	C₂²×C₄×C₃₇	1	4	yes	—
582	C₄²	C₂²×C₄×C₃₇	1	8	yes	—
583	C₄²	#41×C₃₇	1	8	yes	—
584	C₂³	—	2	2	no	—
585	C₂³	—	2	2	no	—
586	C₂³	—	2	4	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	4	no	—
590	C₂³	C₂³×C₄×C₃₇	1	4	yes	—
591	C₂³	C₂³×C₄×C₃₇	1	2	yes	—
592	C₂³	H(5,𝔽₂)×C₃₇	1	2	yes	—
593	C₂³	2₋¹⁺⁴×C₃₇	1	2	yes	—
594	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
595	Q₈	—	2	8	no	—
596	D₄	—	2	16	no	—
597	D₄	—	2	8	no	—
598	C₂×C₄	—	2	8	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	4	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	1	no	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	1	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	4	no	—
611	C₂×C₄	—	2	2	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	8	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	4	4	no	—
628	C₂×C₄	—	4	8	no	—
629	C₂×C₄	—	4	8	no	—
630	C₂×C₄	—	4	8	no	—
631	C₂×C₄	—	8	8	no	—
632	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
633	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
634	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
635	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
636	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
637	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
638	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
639	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
640	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
641	C₂×C₄	C₂×#41×C₃₇	1	4	yes	—
642	C₂×C₄	C₂×#41×C₃₇	1	4	yes	—
643	C₂×C₄	C₂×#41×C₃₇	1	4	yes	—
644	C₂²	—	2	2	no	—
645	C₂²	—	2	2	no	—
646	C₂²	—	2	4	no	—
647	C₂²	—	2	4	no	—
648	C₂²	—	2	4	no	—
649	C₂²	—	2	4	no	—
650	C₂²	—	2	4	no	—
651	C₂²	—	4	4	no	—
652	C₂²	—	4	4	no	—
653	C₂²	C₃₇×#520	1	4	yes	—
654	C₂²	C₂⁴×C₄×C₃₇	1	1	yes	characteristic
655	C₂²	C₂²×#41×C₃₇	1	2	yes	—
656	C₂²	C₂×H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
657	C₂²	C₂×2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
658	C₂²	C₃₇×#585	1	2	yes	—
659	C₄	—	2	2	no	—
660	C₄	—	2	4	no	—
661	C₄	—	2	2	no	—
662	C₄	—	2	2	no	—
663	C₄	—	2	4	no	—
664	C₄	—	2	2	no	—
665	C₄	—	2	4	no	—
666	C₄	—	2	2	no	—
667	C₄	—	2	4	no	—
668	C₄	—	2	4	no	—
669	C₄	—	4	2	no	—
670	C₄	—	4	4	no	—
671	C₄	—	4	4	no	—
672	C₄	—	4	2	no	—
673	C₄	C₄×#41×C₃₇	1	4	yes	—
674	C₂	—	2	4	no	—
675	C₂	—	4	4	no	—
676	C₂	C₂×C₄×#41×C₃₇	1	1	yes	characteristic
677	C₂	C₂×C₃₇×#520	1	1	yes	characteristic
678	C₂	C₃₇×#3428	1	1	yes	characteristic
679	C₂	C₃₇×#3494	1	2	yes	—
680	C₂	C₃₇×#3495	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₃₇
Frattini, cosocle	C₂³	C₂⁵×C₃₇
prime radical	C₂×#121×C₃₇	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃₇×#2373	C₂	semidirect
3. C₃₇×#2359	C₂	semidirect
4. C₃₇×#2353	C₂	semidirect
5. C₃₇×#2349	C₂	semidirect
6. C₃₇×#2346	C₂	semidirect
7. C₃₇×#2343	C₂	semidirect
8. C₃₇×#2330	C₂	semidirect
9. C₃₇×#2326	C₂	semidirect
10. C₃₇×#2320	C₂	semidirect
11. C₃₇×#2319	C₂	semidirect
12. C₄×C₂²⋊Q₈×C₃₇	C₂	semidirect
14. C₃₇×#2285	C₂	semidirect
15. C₃₇×#2276	C₂	semidirect
16. C₃₇×#2275	C₂	semidirect
17. C₂×C₃₇×#376	C₂	semidirect
18. C₃₇×#529	C₄	semidirect
94. #126×C₃₇	C₂×C₄	semidirect
95. #125×C₃₇	C₂×C₄	semidirect
96. #124×C₃₇	C₂×C₄	semidirect
97. #123×C₃₇	C₂×C₄	semidirect
98. C₂²⋊Q₈×C₃₇	C₂×C₄	semidirect
101. C₄×Q₈×C₃₇	C₂×C₄	semidirect
104. C₄×D₄×C₃₇	C₂×C₄	semidirect
105. C₄×D₄×C₃₇	C₂×C₄	semidirect
107. #117×C₃₇	C₂×C₄	semidirect
131. C₂×C₄²×C₃₇	C₂×C₄	semidirect
303. #34220	C₃₇	direct (N × H)
335. #2373	C₂×C₃₇	semidirect
336. #2359	C₂×C₃₇	semidirect
337. #2353	C₂×C₃₇	semidirect
338. #2349	C₂×C₃₇	semidirect
339. #2346	C₂×C₃₇	semidirect
340. #2343	C₂×C₃₇	semidirect
341. #2330	C₂×C₃₇	semidirect
342. #2326	C₂×C₃₇	semidirect
343. #2320	C₂×C₃₇	semidirect
344. #2319	C₂×C₃₇	semidirect
345. C₄×C₂²⋊Q₈	C₂×C₃₇	semidirect
347. #2285	C₂×C₃₇	semidirect
348. #2276	C₂×C₃₇	semidirect
349. #2275	C₂×C₃₇	semidirect
350. C₂×#376	C₂×C₃₇	semidirect
358. #529	C₄×C₃₇	semidirect
424. C₃₇	#34220	direct (N × H)
435. #126	C₂×C₄×C₃₇	semidirect
436. #125	C₂×C₄×C₃₇	semidirect
437. #124	C₂×C₄×C₃₇	semidirect
438. #123	C₂×C₄×C₃₇	semidirect
439. C₂²⋊Q₈	C₂×C₄×C₃₇	semidirect
442. C₄×Q₈	C₂×C₄×C₃₇	semidirect
445. C₄×D₄	C₂×C₄×C₃₇	semidirect
446. C₄×D₄	C₂×C₄×C₃₇	semidirect
448. #117	C₂×C₄×C₃₇	semidirect
472. C₂×C₄²	C₂×C₄×C₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#529	2
C₃₇×#2373	2
C₃₇×#2359	2
C₃₇×#2353	2
C₃₇×#2349	2
C₃₇×#2346	2
C₃₇×#2343	2
C₃₇×#2330	2
C₃₇×#2326	2
C₃₇×#2320	2
C₃₇×#2319	2
C₄×C₂²⋊Q₈×C₃₇	2
C₄×#121×C₃₇	2
C₃₇×#2285	2
C₃₇×#2276	2
C₃₇×#2275	2
C₂×C₃₇×#376	2
#34220	37

Subgroups — C37×#34220 #22655473

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#34220 #22655473