Subgroups — C₃₇×#34386 #22655639

Order 9472.

2614 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#525	C₂	1	1	yes	maximal, characteristic
2	C₃₇×#2378	C₂	1	2	yes	maximal, complemented
3	C₃₇×#2377	C₂	1	2	yes	maximal, complemented
4	C₃₇×#2358	C₂	1	4	yes	maximal, complemented
5	C₃₇×#2353	C₂	1	2	yes	maximal, complemented
6	C₃₇×#2349	C₂	1	2	yes	maximal, complemented
7	C₃₇×#2343	C₂	1	2	yes	maximal, complemented
8	C₃₇×#2339	C₂	1	2	yes	maximal, complemented
9	C₃₇×#2329	C₂	1	2	yes	maximal, complemented
10	C₃₇×#2325	C₂	1	2	yes	maximal, complemented
11	C₃₇×#2322	C₂	1	4	yes	maximal, complemented
12	C₃₇×#2319	C₂	1	2	yes	maximal, complemented
13	C₃₇×#2318	C₂	1	2	yes	maximal, complemented
14	C₂×C₃₇×#381	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₃₇×#380	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₃₇	C₂²	1	1	yes	characteristic
17	C₂⁴×C₄×C₃₇	C₂²	1	1	yes	characteristic
18	C₃₇×#525	C₄	1	16	yes	complemented
19	C₂×#123×C₃₇	C₂²	1	2	yes	—
20	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
23	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
24	C₂×#120×C₃₇	C₂²	1	2	yes	—
25	C₂×C₄×D₄×C₃₇	C₂²	1	4	yes	—
26	C₂×C₄×D₄×C₃₇	C₂²	1	4	yes	—
27	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
28	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
29	C₂×#117×C₃₇	C₂²	1	1	yes	characteristic
30	C₂²×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
31	C₂²×C₂²⋊C₄×C₃₇	C₂²	1	2	yes	—
32	C₂²×C₂²⋊C₄×C₃₇	C₂²	1	2	yes	—
33	C₃₇×#391	C₂²	1	4	yes	complemented
34	C₃₇×#390	C₂²	1	4	yes	—
35	C₃₇×#389	C₂²	1	4	yes	complemented
36	C₃₇×#389	C₂²	1	4	yes	complemented
37	C₃₇×#388	C₂²	1	4	yes	—
38	C₃₇×#388	C₂²	1	4	yes	—
39	C₃₇×#388	C₂²	1	4	yes	complemented
40	C₃₇×#388	C₂²	1	4	yes	complemented
41	C₃₇×#387	C₂²	1	4	yes	complemented
42	C₃₇×#387	C₂²	1	4	yes	complemented
43	C₃₇×#387	C₂²	1	4	yes	complemented
44	C₃₇×#387	C₂²	1	4	yes	complemented
45	C₃₇×#386	C₂²	1	4	yes	—
46	C₃₇×#386	C₂²	1	4	yes	—
47	C₃₇×#386	C₂²	1	4	yes	—
48	C₃₇×#386	C₂²	1	4	yes	complemented
49	C₃₇×#385	C₂²	1	4	yes	—
50	C₃₇×#385	C₂²	1	4	yes	—
51	C₃₇×#385	C₂²	1	4	yes	complemented
52	C₃₇×#385	C₂²	1	4	yes	complemented
53	C₃₇×#383	C₂²	1	2	yes	complemented
54	C₃₇×#382	C₂²	1	2	yes	complemented
55	C₃₇×#381	C₂²	1	2	yes	—
56	C₃₇×#381	C₂²	1	2	yes	—
57	C₃₇×#381	C₂²	1	2	yes	—
58	C₃₇×#381	C₂²	1	2	yes	—
59	C₃₇×#381	C₂²	1	2	yes	complemented
60	C₃₇×#380	C₂²	1	2	yes	—
61	C₃₇×#380	C₂²	1	2	yes	—
62	C₃₇×#380	C₂²	1	1	yes	characteristic
63	C₃₇×#380	C₂²	1	1	yes	characteristic
64	C₃₇×#380	C₂²	1	2	yes	—
65	C₃₇×#380	C₂²	1	2	yes	complemented
66	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	complemented
67	C₄×C₂²⋊C₄×C₃₇	C₂²	1	4	yes	—
68	C₄×C₂²⋊C₄×C₃₇	C₂²	1	4	yes	—
69	C₄×C₂²⋊C₄×C₃₇	C₂²	1	2	yes	complemented
70	C₃₇×#376	C₂²	1	2	yes	complemented
71	C₂×#95×C₃₇	C₂²	1	1	yes	characteristic
72	C₂×#95×C₃₇	C₂²	1	2	yes	—
73	C₂×#95×C₃₇	C₂²	1	2	yes	—
74	C₂×#95×C₃₇	C₂²	1	1	yes	characteristic
75	C₂×#95×C₃₇	C₂²	1	2	yes	complemented
76	C₂⁵×C₃₇	C₂³	1	1	yes	characteristic
77	C₂×#41×C₃₇	—	4	4	no	—
78	C₂×#41×C₃₇	C₂×C₄	1	8	yes	complemented
79	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
80	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
81	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
82	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
83	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₃₇	—	4	4	no	—
85	C₂³×C₄×C₃₇	C₂×C₄	1	8	yes	complemented
86	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
89	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
90	C₂³×C₄×C₃₇	C₂³	1	4	yes	—
91	C₂³×C₄×C₃₇	C₂³	1	4	yes	—
92	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
94	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
95	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
96	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
97	#123×C₃₇	C₂×C₄	1	16	yes	complemented
98	C₂²⋊Q₈×C₃₇	C₂×C₄	1	8	yes	complemented
99	C₂²⋊Q₈×C₃₇	C₂×C₄	1	8	yes	complemented
100	#121×C₃₇	C₂×C₄	1	8	yes	complemented
101	#121×C₃₇	C₂×C₄	1	8	yes	complemented
102	#120×C₃₇	C₂×C₄	1	16	yes	complemented
103	C₄×D₄×C₃₇	—	4	8	no	—
104	C₄×D₄×C₃₇	—	4	8	no	—
105	C₄×D₄×C₃₇	C₂×C₄	1	16	yes	complemented
106	C₄×D₄×C₃₇	C₂×C₄	1	16	yes	complemented
107	#117×C₃₇	C₂×C₄	1	8	yes	complemented
108	C₂×C₄⋊C₄×C₃₇	—	4	4	no	—
109	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
110	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
111	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
112	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	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×C₂²⋊C₄×C₃₇	—	4	4	no	—
120	C₂×C₂²⋊C₄×C₃₇	—	4	4	no	—
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	2	yes	—
125	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
126	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
127	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
128	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
129	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
130	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
131	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
132	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
133	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
134	C₂×C₄²×C₃₇	C₂³	1	4	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	#95×C₃₇	C₂³	1	2	yes	—
139	#95×C₃₇	C₂³	1	2	yes	—
140	#95×C₃₇	C₂³	1	2	yes	—
141	#95×C₃₇	C₂³	1	2	yes	—
142	#95×C₃₇	C₂³	1	4	yes	—
143	#95×C₃₇	C₂³	1	2	yes	—
144	#95×C₃₇	C₂³	1	4	yes	—
145	#95×C₃₇	C₂³	1	4	yes	—
146	#95×C₃₇	C₂³	1	2	yes	—
147	#95×C₃₇	C₂³	1	4	yes	—
148	#95×C₃₇	C₂³	1	4	yes	—
149	#95×C₃₇	C₂³	1	4	yes	—
150	#95×C₃₇	C₂³	1	4	yes	—
151	#95×C₃₇	C₂³	1	4	yes	—
152	#95×C₃₇	C₂³	1	4	yes	—
153	C₂⁴×C₃₇	—	2	2	no	—
154	C₂⁴×C₃₇	—	2	4	no	—
155	C₂⁴×C₃₇	—	2	2	no	—
156	C₂⁴×C₃₇	—	4	2	no	—
157	C₂⁴×C₃₇	C₂²×C₄	1	4	yes	—
158	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
159	C₂⁴×C₃₇	C₂⁴	1	2	yes	—
160	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
161	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
162	#41×C₃₇	—	4	16	no	—
163	C₂×Q₈×C₃₇	—	4	2	no	—
164	C₂×Q₈×C₃₇	C₂²×C₄	1	4	yes	—
165	C₂×D₄×C₃₇	—	2	4	no	—
166	C₂×D₄×C₃₇	—	2	8	no	—
167	C₂×D₄×C₃₇	—	2	4	no	—
168	C₂×D₄×C₃₇	—	4	4	no	—
169	C₂×D₄×C₃₇	—	4	2	no	—
170	C₂×D₄×C₃₇	C₂²×C₄	1	8	yes	—
171	C₂×D₄×C₃₇	C₂²×C₄	1	8	yes	—
172	C₂×D₄×C₃₇	C₂²×C₄	1	8	yes	—
173	C₂×D₄×C₃₇	C₂²×C₄	1	4	yes	—
174	C₂²×C₄×C₃₇	—	2	4	no	—
175	C₂²×C₄×C₃₇	—	2	4	no	—
176	C₂²×C₄×C₃₇	—	2	8	no	—
177	C₂²×C₄×C₃₇	—	2	4	no	—
178	C₂²×C₄×C₃₇	—	2	4	no	—
179	C₂²×C₄×C₃₇	—	4	16	no	—
180	C₂²×C₄×C₃₇	—	4	2	no	—
181	C₂²×C₄×C₃₇	—	4	2	no	—
182	C₂²×C₄×C₃₇	—	4	2	no	—
183	C₂²×C₄×C₃₇	—	4	2	no	—
184	C₂²×C₄×C₃₇	—	4	4	no	—
185	C₂²×C₄×C₃₇	—	4	2	no	—
186	C₂²×C₄×C₃₇	—	4	4	no	—
187	C₂²×C₄×C₃₇	—	4	2	no	—
188	C₂²×C₄×C₃₇	—	4	4	no	—
189	C₂²×C₄×C₃₇	—	4	4	no	—
190	C₂²×C₄×C₃₇	—	4	2	no	—
191	C₂²×C₄×C₃₇	—	4	4	no	—
192	C₂²×C₄×C₃₇	—	4	4	no	—
193	C₂²×C₄×C₃₇	—	4	2	no	—
194	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
195	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
196	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
197	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
198	C₂²×C₄×C₃₇	C₂²×C₄	1	8	yes	—
199	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
200	C₂²×C₄×C₃₇	C₂²×C₄	1	4	yes	—
201	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
202	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
203	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
204	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
205	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
206	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
207	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
210	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
212	C₄⋊C₄×C₃₇	—	4	2	no	—
213	C₄⋊C₄×C₃₇	—	4	4	no	—
214	C₄⋊C₄×C₃₇	—	4	2	no	—
215	C₄⋊C₄×C₃₇	—	4	4	no	—
216	C₄⋊C₄×C₃₇	—	4	4	no	—
217	C₄⋊C₄×C₃₇	—	4	4	no	—
218	C₄⋊C₄×C₃₇	C₂²×C₄	1	4	yes	—
219	C₄⋊C₄×C₃₇	C₂²×C₄	1	4	yes	—
220	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
221	C₄⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
222	C₂²⋊C₄×C₃₇	—	2	8	no	—
223	C₂²⋊C₄×C₃₇	—	2	8	no	—
224	C₂²⋊C₄×C₃₇	—	4	2	no	—
225	C₂²⋊C₄×C₃₇	—	4	4	no	—
226	C₂²⋊C₄×C₃₇	—	4	2	no	—
227	C₂²⋊C₄×C₃₇	—	4	4	no	—
228	C₂²⋊C₄×C₃₇	—	4	4	no	—
229	C₂²⋊C₄×C₃₇	—	4	4	no	—
230	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
231	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
232	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
233	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
234	C₂²⋊C₄×C₃₇	C₂²×C₄	1	8	yes	—
235	C₄²×C₃₇	—	4	4	no	—
236	C₄²×C₃₇	—	4	4	no	—
237	C₄²×C₃₇	—	4	4	no	—
238	C₄²×C₃₇	C₂²×C₄	1	8	yes	—
239	C₂³×C₃₇	—	2	2	no	—
240	C₂³×C₃₇	—	2	1	no	—
241	C₂³×C₃₇	—	2	1	no	—
242	C₂³×C₃₇	—	2	2	no	—
243	C₂³×C₃₇	—	2	2	no	—
244	C₂³×C₃₇	—	2	8	no	—
245	C₂³×C₃₇	—	2	8	no	—
246	C₂³×C₃₇	—	2	1	no	—
247	C₂³×C₃₇	—	2	2	no	—
248	C₂³×C₃₇	—	2	2	no	—
249	C₂³×C₃₇	—	2	4	no	—
250	C₂³×C₃₇	—	2	2	no	—
251	C₂³×C₃₇	—	2	1	no	—
252	C₂³×C₃₇	—	2	4	no	—
253	C₂³×C₃₇	—	2	2	no	—
254	C₂³×C₃₇	—	4	4	no	—
255	C₂³×C₃₇	—	4	8	no	—
256	C₂³×C₃₇	—	4	8	no	—
257	C₂³×C₃₇	C₂³×C₄	1	2	yes	—
258	C₂³×C₃₇	C₂³×C₄	1	4	yes	—
259	C₂³×C₃₇	C₂³×C₄	1	2	yes	—
260	C₂³×C₃₇	C₂³×C₄	1	2	yes	—
261	C₂³×C₃₇	H(5,𝔽₂)	1	4	yes	—
262	C₂³×C₃₇	H(5,𝔽₂)	1	2	yes	—
263	C₂³×C₃₇	2₋¹⁺⁴	1	2	yes	—
264	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
265	Q₈×C₃₇	—	4	4	no	—
266	D₄×C₃₇	—	2	16	no	—
267	D₄×C₃₇	—	2	16	no	—
268	D₄×C₃₇	—	4	8	no	—
269	D₄×C₃₇	—	4	4	no	—
270	C₂×C₄×C₃₇	—	2	8	no	—
271	C₂×C₄×C₃₇	—	2	8	no	—
272	C₂×C₄×C₃₇	—	2	2	no	—
273	C₂×C₄×C₃₇	—	2	4	no	—
274	C₂×C₄×C₃₇	—	2	2	no	—
275	C₂×C₄×C₃₇	—	2	2	no	—
276	C₂×C₄×C₃₇	—	2	2	no	—
277	C₂×C₄×C₃₇	—	2	2	no	—
278	C₂×C₄×C₃₇	—	2	2	no	—
279	C₂×C₄×C₃₇	—	2	4	no	—
280	C₂×C₄×C₃₇	—	2	4	no	—
281	C₂×C₄×C₃₇	—	2	4	no	—
282	C₂×C₄×C₃₇	—	2	4	no	—
283	C₂×C₄×C₃₇	—	2	4	no	—
284	C₂×C₄×C₃₇	—	2	4	no	—
285	C₂×C₄×C₃₇	—	2	4	no	—
286	C₂×C₄×C₃₇	—	2	4	no	—
287	C₂×C₄×C₃₇	—	2	4	no	—
288	C₂×C₄×C₃₇	—	2	4	no	—
289	C₂×C₄×C₃₇	—	2	4	no	—
290	C₂×C₄×C₃₇	—	2	4	no	—
291	C₂×C₄×C₃₇	—	2	4	no	—
292	C₂×C₄×C₃₇	—	4	4	no	—
293	C₂×C₄×C₃₇	—	4	4	no	—
294	C₂×C₄×C₃₇	—	4	4	no	—
295	C₂×C₄×C₃₇	—	4	4	no	—
296	C₂×C₄×C₃₇	—	4	8	no	—
297	C₂×C₄×C₃₇	—	8	8	no	—
298	C₂×C₄×C₃₇	—	8	4	no	—
299	C₂×C₄×C₃₇	—	8	4	no	—
300	C₂×C₄×C₃₇	—	8	8	no	—
301	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
302	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
303	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
304	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
305	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
306	C₂×C₄×C₃₇	C₂³×C₄	1	4	yes	—
307	C₂×C₄×C₃₇	C₂³×C₄	1	2	yes	—
308	#34386	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
309	C₂²×C₃₇	—	2	2	no	—
310	C₂²×C₃₇	—	2	2	no	—
311	C₂²×C₃₇	—	2	2	no	—
312	C₂²×C₃₇	—	2	2	no	—
313	C₂²×C₃₇	—	2	4	no	—
314	C₂²×C₃₇	—	2	4	no	—
315	C₂²×C₃₇	—	2	4	no	—
316	C₂²×C₃₇	—	2	4	no	—
317	C₂²×C₃₇	—	2	2	no	—
318	C₂²×C₃₇	—	2	4	no	—
319	C₂²×C₃₇	—	2	4	no	—
320	C₂²×C₃₇	—	2	2	no	—
321	C₂²×C₃₇	—	2	2	no	—
322	C₂²×C₃₇	—	2	4	no	—
323	C₂²×C₃₇	—	4	16	no	—
324	C₂²×C₃₇	—	4	4	no	—
325	C₂²×C₃₇	—	4	2	no	—
326	C₂²×C₃₇	—	4	4	no	—
327	C₂²×C₃₇	—	4	2	no	—
328	C₂²×C₃₇	#518	1	4	yes	—
329	C₂²×C₃₇	#520	1	4	yes	—
330	C₂²×C₃₇	C₂⁴×C₄	1	1	yes	characteristic
331	C₂²×C₃₇	C₂×H(5,𝔽₂)	1	2	yes	—
332	C₂²×C₃₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
333	C₂²×C₃₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
334	C₂²×C₃₇	#585	1	2	yes	—
335	C₄×C₃₇	—	2	2	no	—
336	C₄×C₃₇	—	2	2	no	—
337	C₄×C₃₇	—	2	2	no	—
338	C₄×C₃₇	—	2	2	no	—
339	C₄×C₃₇	—	2	4	no	—
340	C₄×C₃₇	—	2	4	no	—
341	C₄×C₃₇	—	2	4	no	—
342	C₄×C₃₇	—	4	4	no	—
343	C₄×C₃₇	—	4	4	no	—
344	C₄×C₃₇	—	4	4	no	—
345	C₄×C₃₇	—	4	4	no	—
346	C₂×#525	C₂×C₃₇	1	1	yes	characteristic
347	#2378	C₂×C₃₇	1	2	yes	complemented
348	#2377	C₂×C₃₇	1	2	yes	complemented
349	#2358	C₂×C₃₇	1	4	yes	complemented
350	#2353	C₂×C₃₇	1	2	yes	complemented
351	#2349	C₂×C₃₇	1	2	yes	complemented
352	#2343	C₂×C₃₇	1	2	yes	complemented
353	#2339	C₂×C₃₇	1	2	yes	complemented
354	#2329	C₂×C₃₇	1	2	yes	complemented
355	#2325	C₂×C₃₇	1	2	yes	complemented
356	#2322	C₂×C₃₇	1	4	yes	complemented
357	#2319	C₂×C₃₇	1	2	yes	complemented
358	#2318	C₂×C₃₇	1	2	yes	complemented
359	C₂×#381	C₂×C₃₇	1	1	yes	characteristic, complemented
360	C₂×#380	C₂×C₃₇	1	1	yes	characteristic, complemented
361	C₂×C₃₇	—	2	4	no	—
362	C₂×C₃₇	—	2	4	no	—
363	C₂×C₃₇	—	4	4	no	—
364	C₂×C₃₇	—	4	2	no	—
365	C₂×C₃₇	C₂×#518	1	1	yes	characteristic
366	C₂×C₃₇	C₂×#520	1	1	yes	characteristic
367	C₂×C₃₇	#3428	1	1	yes	characteristic
368	C₂×C₃₇	#3534	1	2	yes	—
369	C₂×C₃₇	#3535	1	2	yes	—
370	C₂²×#41	C₂²×C₃₇	1	1	yes	characteristic
371	C₂⁴×C₄	C₂²×C₃₇	1	1	yes	characteristic
372	#525	C₄×C₃₇	1	16	yes	complemented
373	C₂×#123	C₂²×C₃₇	1	2	yes	—
374	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
375	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
376	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
377	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
378	C₂×#120	C₂²×C₃₇	1	2	yes	—
379	C₂×C₄×D₄	C₂²×C₃₇	1	4	yes	—
380	C₂×C₄×D₄	C₂²×C₃₇	1	4	yes	—
381	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
382	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
383	C₂×#117	C₂²×C₃₇	1	1	yes	characteristic
384	C₂²×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
385	C₂²×C₂²⋊C₄	C₂²×C₃₇	1	2	yes	—
386	C₂²×C₂²⋊C₄	C₂²×C₃₇	1	2	yes	—
387	#391	C₂²×C₃₇	1	4	yes	complemented
388	#390	C₂²×C₃₇	1	4	yes	—
389	#389	C₂²×C₃₇	1	4	yes	complemented
390	#389	C₂²×C₃₇	1	4	yes	complemented
391	#388	C₂²×C₃₇	1	4	yes	—
392	#388	C₂²×C₃₇	1	4	yes	—
393	#388	C₂²×C₃₇	1	4	yes	complemented
394	#388	C₂²×C₃₇	1	4	yes	complemented
395	#387	C₂²×C₃₇	1	4	yes	complemented
396	#387	C₂²×C₃₇	1	4	yes	complemented
397	#387	C₂²×C₃₇	1	4	yes	complemented
398	#387	C₂²×C₃₇	1	4	yes	complemented
399	#386	C₂²×C₃₇	1	4	yes	—
400	#386	C₂²×C₃₇	1	4	yes	—
401	#386	C₂²×C₃₇	1	4	yes	—
402	#386	C₂²×C₃₇	1	4	yes	complemented
403	#385	C₂²×C₃₇	1	4	yes	—
404	#385	C₂²×C₃₇	1	4	yes	—
405	#385	C₂²×C₃₇	1	4	yes	complemented
406	#385	C₂²×C₃₇	1	4	yes	complemented
407	#383	C₂²×C₃₇	1	2	yes	complemented
408	#382	C₂²×C₃₇	1	2	yes	complemented
409	#381	C₂²×C₃₇	1	2	yes	—
410	#381	C₂²×C₃₇	1	2	yes	—
411	#381	C₂²×C₃₇	1	2	yes	—
412	#381	C₂²×C₃₇	1	2	yes	—
413	#381	C₂²×C₃₇	1	2	yes	complemented
414	#380	C₂²×C₃₇	1	1	yes	characteristic
415	#380	C₂²×C₃₇	1	1	yes	characteristic
416	#380	C₂²×C₃₇	1	2	yes	—
417	#380	C₂²×C₃₇	1	2	yes	—
418	#380	C₂²×C₃₇	1	2	yes	—
419	#380	C₂²×C₃₇	1	2	yes	complemented
420	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	complemented
421	C₄×C₂²⋊C₄	C₂²×C₃₇	1	4	yes	—
422	C₄×C₂²⋊C₄	C₂²×C₃₇	1	4	yes	—
423	C₄×C₂²⋊C₄	C₂²×C₃₇	1	2	yes	complemented
424	#376	C₂²×C₃₇	1	2	yes	complemented
425	C₂×#95	C₂²×C₃₇	1	2	yes	—
426	C₂×#95	C₂²×C₃₇	1	2	yes	—
427	C₂×#95	C₂²×C₃₇	1	1	yes	characteristic
428	C₂×#95	C₂²×C₃₇	1	1	yes	characteristic
429	C₂×#95	C₂²×C₃₇	1	2	yes	complemented
430	C₃₇	#34386	1	1	yes	characteristic, direct product factor, Sylow
431	C₂⁵	C₂³×C₃₇	1	1	yes	characteristic
432	C₂×#41	—	4	4	no	—
433	C₂×#41	C₂×C₄×C₃₇	1	8	yes	complemented
434	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
435	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
436	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
437	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
438	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
439	C₂³×C₄	—	4	4	no	—
440	C₂³×C₄	C₂×C₄×C₃₇	1	8	yes	complemented
441	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
442	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
443	C₂³×C₄	C₂³×C₃₇	1	4	yes	—
444	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
445	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
446	C₂³×C₄	C₂³×C₃₇	1	4	yes	—
447	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
448	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
449	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
450	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
451	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
452	#123	C₂×C₄×C₃₇	1	16	yes	complemented
453	C₂²⋊Q₈	C₂×C₄×C₃₇	1	8	yes	complemented
454	C₂²⋊Q₈	C₂×C₄×C₃₇	1	8	yes	complemented
455	#121	C₂×C₄×C₃₇	1	8	yes	complemented
456	#121	C₂×C₄×C₃₇	1	8	yes	complemented
457	#120	C₂×C₄×C₃₇	1	16	yes	complemented
458	C₄×D₄	—	4	8	no	—
459	C₄×D₄	—	4	8	no	—
460	C₄×D₄	C₂×C₄×C₃₇	1	16	yes	complemented
461	C₄×D₄	C₂×C₄×C₃₇	1	16	yes	complemented
462	#117	C₂×C₄×C₃₇	1	8	yes	complemented
463	C₂×C₄⋊C₄	—	4	4	no	—
464	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
465	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
466	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
467	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
468	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
469	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
470	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
471	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
472	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
473	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
474	C₂×C₂²⋊C₄	—	4	4	no	—
475	C₂×C₂²⋊C₄	—	4	4	no	—
476	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
477	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
478	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
479	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
480	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
481	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
482	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
483	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
484	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
485	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
486	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
487	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
488	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
489	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
490	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
491	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
492	C₂×C₄²	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	4	yes	—
498	#95	C₂³×C₃₇	1	2	yes	—
499	#95	C₂³×C₃₇	1	4	yes	—
500	#95	C₂³×C₃₇	1	4	yes	—
501	#95	C₂³×C₃₇	1	2	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	#95	C₂³×C₃₇	1	4	yes	—
507	#95	C₂³×C₃₇	1	4	yes	—
508	C₂⁴	—	2	2	no	—
509	C₂⁴	—	2	4	no	—
510	C₂⁴	—	2	2	no	—
511	C₂⁴	—	4	2	no	—
512	C₂⁴	C₂²×C₄×C₃₇	1	4	yes	—
513	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
514	C₂⁴	C₂⁴×C₃₇	1	2	yes	—
515	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
516	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
517	#41	—	4	16	no	—
518	C₂×Q₈	—	4	2	no	—
519	C₂×Q₈	C₂²×C₄×C₃₇	1	4	yes	—
520	C₂×D₄	—	2	4	no	—
521	C₂×D₄	—	2	8	no	—
522	C₂×D₄	—	2	4	no	—
523	C₂×D₄	—	4	4	no	—
524	C₂×D₄	—	4	2	no	—
525	C₂×D₄	C₂²×C₄×C₃₇	1	8	yes	—
526	C₂×D₄	C₂²×C₄×C₃₇	1	8	yes	—
527	C₂×D₄	C₂²×C₄×C₃₇	1	8	yes	—
528	C₂×D₄	C₂²×C₄×C₃₇	1	4	yes	—
529	C₂²×C₄	—	2	4	no	—
530	C₂²×C₄	—	2	4	no	—
531	C₂²×C₄	—	2	8	no	—
532	C₂²×C₄	—	2	4	no	—
533	C₂²×C₄	—	2	4	no	—
534	C₂²×C₄	—	4	16	no	—
535	C₂²×C₄	—	4	2	no	—
536	C₂²×C₄	—	4	2	no	—
537	C₂²×C₄	—	4	2	no	—
538	C₂²×C₄	—	4	2	no	—
539	C₂²×C₄	—	4	4	no	—
540	C₂²×C₄	—	4	2	no	—
541	C₂²×C₄	—	4	4	no	—
542	C₂²×C₄	—	4	2	no	—
543	C₂²×C₄	—	4	4	no	—
544	C₂²×C₄	—	4	4	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	4	4	no	—
547	C₂²×C₄	—	4	4	no	—
548	C₂²×C₄	—	4	2	no	—
549	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
550	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
551	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
552	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
553	C₂²×C₄	C₂²×C₄×C₃₇	1	8	yes	—
554	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
555	C₂²×C₄	C₂²×C₄×C₃₇	1	4	yes	—
556	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
557	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
558	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
559	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
560	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
561	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
562	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
563	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
565	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
566	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
567	C₄⋊C₄	—	4	2	no	—
568	C₄⋊C₄	—	4	4	no	—
569	C₄⋊C₄	—	4	2	no	—
570	C₄⋊C₄	—	4	4	no	—
571	C₄⋊C₄	—	4	4	no	—
572	C₄⋊C₄	—	4	4	no	—
573	C₄⋊C₄	C₂²×C₄×C₃₇	1	4	yes	—
574	C₄⋊C₄	C₂²×C₄×C₃₇	1	4	yes	—
575	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
576	C₄⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
577	C₂²⋊C₄	—	2	8	no	—
578	C₂²⋊C₄	—	2	8	no	—
579	C₂²⋊C₄	—	4	2	no	—
580	C₂²⋊C₄	—	4	4	no	—
581	C₂²⋊C₄	—	4	2	no	—
582	C₂²⋊C₄	—	4	4	no	—
583	C₂²⋊C₄	—	4	4	no	—
584	C₂²⋊C₄	—	4	4	no	—
585	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
586	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
587	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
588	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
589	C₂²⋊C₄	C₂²×C₄×C₃₇	1	8	yes	—
590	C₄²	—	4	4	no	—
591	C₄²	—	4	4	no	—
592	C₄²	—	4	4	no	—
593	C₄²	C₂²×C₄×C₃₇	1	8	yes	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	1	no	—
596	C₂³	—	2	1	no	—
597	C₂³	—	2	2	no	—
598	C₂³	—	2	2	no	—
599	C₂³	—	2	8	no	—
600	C₂³	—	2	1	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	2	4	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	4	no	—
607	C₂³	—	2	2	no	—
608	C₂³	—	2	8	no	—
609	C₂³	—	4	4	no	—
610	C₂³	—	4	8	no	—
611	C₂³	—	4	8	no	—
612	C₂³	C₂³×C₄×C₃₇	1	2	yes	—
613	C₂³	C₂³×C₄×C₃₇	1	4	yes	—
614	C₂³	C₂³×C₄×C₃₇	1	2	yes	—
615	C₂³	C₂³×C₄×C₃₇	1	2	yes	—
616	C₂³	H(5,𝔽₂)×C₃₇	1	2	yes	—
617	C₂³	H(5,𝔽₂)×C₃₇	1	4	yes	—
618	C₂³	2₋¹⁺⁴×C₃₇	1	2	yes	—
619	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
620	Q₈	—	4	4	no	—
621	D₄	—	2	16	no	—
622	D₄	—	2	16	no	—
623	D₄	—	4	4	no	—
624	D₄	—	4	8	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	2	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	8	no	—
634	C₂×C₄	—	2	8	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	4	no	—
637	C₂×C₄	—	2	4	no	—
638	C₂×C₄	—	2	4	no	—
639	C₂×C₄	—	2	4	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	4	no	—
645	C₂×C₄	—	2	4	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	4	4	no	—
648	C₂×C₄	—	4	4	no	—
649	C₂×C₄	—	4	4	no	—
650	C₂×C₄	—	4	4	no	—
651	C₂×C₄	—	4	8	no	—
652	C₂×C₄	—	8	4	no	—
653	C₂×C₄	—	8	8	no	—
654	C₂×C₄	—	8	4	no	—
655	C₂×C₄	—	8	8	no	—
656	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
657	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
658	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
659	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
660	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
661	C₂×C₄	C₂³×C₄×C₃₇	1	4	yes	—
662	C₂×C₄	C₂³×C₄×C₃₇	1	2	yes	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	2	4	no	—
668	C₂²	—	2	4	no	—
669	C₂²	—	2	4	no	—
670	C₂²	—	2	4	no	—
671	C₂²	—	2	2	no	—
672	C₂²	—	2	4	no	—
673	C₂²	—	2	4	no	—
674	C₂²	—	2	2	no	—
675	C₂²	—	2	2	no	—
676	C₂²	—	2	4	no	—
677	C₂²	—	4	16	no	—
678	C₂²	—	4	4	no	—
679	C₂²	—	4	2	no	—
680	C₂²	—	4	2	no	—
681	C₂²	—	4	4	no	—
682	C₂²	C₃₇×#518	1	4	yes	—
683	C₂²	C₃₇×#520	1	4	yes	—
684	C₂²	C₂⁴×C₄×C₃₇	1	1	yes	characteristic
685	C₂²	C₂×H(5,𝔽₂)×C₃₇	1	2	yes	—
686	C₂²	C₂×H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
687	C₂²	C₂×2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
688	C₂²	C₃₇×#585	1	2	yes	—
689	C₄	—	2	2	no	—
690	C₄	—	2	2	no	—
691	C₄	—	2	2	no	—
692	C₄	—	2	2	no	—
693	C₄	—	2	4	no	—
694	C₄	—	2	4	no	—
695	C₄	—	2	4	no	—
696	C₄	—	4	4	no	—
697	C₄	—	4	4	no	—
698	C₄	—	4	4	no	—
699	C₄	—	4	4	no	—
700	C₂	—	2	4	no	—
701	C₂	—	2	4	no	—
702	C₂	—	4	2	no	—
703	C₂	—	4	4	no	—
704	C₂	C₂×C₃₇×#518	1	1	yes	characteristic
705	C₂	C₂×C₃₇×#520	1	1	yes	characteristic
706	C₂	C₃₇×#3428	1	1	yes	characteristic
707	C₂	C₃₇×#3534	1	2	yes	—
708	C₂	C₃₇×#3535	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₃₇
Frattini, cosocle	C₂³	C₂⁵×C₃₇
prime radical	C₂×C₃₇×#525	C₂
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×#2378	C₂	semidirect
3. C₃₇×#2377	C₂	semidirect
4. C₃₇×#2358	C₂	semidirect
5. C₃₇×#2353	C₂	semidirect
6. C₃₇×#2349	C₂	semidirect
7. C₃₇×#2343	C₂	semidirect
8. C₃₇×#2339	C₂	semidirect
9. C₃₇×#2329	C₂	semidirect
10. C₃₇×#2325	C₂	semidirect
11. C₃₇×#2322	C₂	semidirect
12. C₃₇×#2319	C₂	semidirect
13. C₃₇×#2318	C₂	semidirect
14. C₂×C₃₇×#381	C₂	semidirect
15. C₂×C₃₇×#380	C₂	semidirect
18. C₃₇×#525	C₄	semidirect
33. C₃₇×#391	C₂²	semidirect
35. C₃₇×#389	C₂²	semidirect
36. C₃₇×#389	C₂²	semidirect
39. C₃₇×#388	C₂²	semidirect
40. C₃₇×#388	C₂²	semidirect
41. C₃₇×#387	C₂²	semidirect
42. C₃₇×#387	C₂²	semidirect
43. C₃₇×#387	C₂²	semidirect
44. C₃₇×#387	C₂²	semidirect
48. C₃₇×#386	C₂²	semidirect
51. C₃₇×#385	C₂²	semidirect
52. C₃₇×#385	C₂²	semidirect
53. C₃₇×#383	C₂²	semidirect
54. C₃₇×#382	C₂²	semidirect
59. C₃₇×#381	C₂²	semidirect
65. C₃₇×#380	C₂²	semidirect
66. C₄×C₄⋊C₄×C₃₇	C₂²	semidirect
69. C₄×C₂²⋊C₄×C₃₇	C₂²	semidirect
70. C₃₇×#376	C₂²	semidirect
75. C₂×#95×C₃₇	C₂²	semidirect
78. C₂×#41×C₃₇	C₂×C₄	semidirect
85. C₂³×C₄×C₃₇	C₂×C₄	semidirect
97. #123×C₃₇	C₂×C₄	semidirect
98. C₂²⋊Q₈×C₃₇	C₂×C₄	semidirect
99. C₂²⋊Q₈×C₃₇	C₂×C₄	semidirect
100. #121×C₃₇	C₂×C₄	semidirect
101. #121×C₃₇	C₂×C₄	semidirect
102. #120×C₃₇	C₂×C₄	semidirect
105. C₄×D₄×C₃₇	C₂×C₄	semidirect
106. C₄×D₄×C₃₇	C₂×C₄	semidirect
107. #117×C₃₇	C₂×C₄	semidirect
308. #34386	C₃₇	direct (N × H)
347. #2378	C₂×C₃₇	semidirect
348. #2377	C₂×C₃₇	semidirect
349. #2358	C₂×C₃₇	semidirect
350. #2353	C₂×C₃₇	semidirect
351. #2349	C₂×C₃₇	semidirect
352. #2343	C₂×C₃₇	semidirect
353. #2339	C₂×C₃₇	semidirect
354. #2329	C₂×C₃₇	semidirect
355. #2325	C₂×C₃₇	semidirect
356. #2322	C₂×C₃₇	semidirect
357. #2319	C₂×C₃₇	semidirect
358. #2318	C₂×C₃₇	semidirect
359. C₂×#381	C₂×C₃₇	semidirect
360. C₂×#380	C₂×C₃₇	semidirect
372. #525	C₄×C₃₇	semidirect
387. #391	C₂²×C₃₇	semidirect
389. #389	C₂²×C₃₇	semidirect
390. #389	C₂²×C₃₇	semidirect
393. #388	C₂²×C₃₇	semidirect
394. #388	C₂²×C₃₇	semidirect
395. #387	C₂²×C₃₇	semidirect
396. #387	C₂²×C₃₇	semidirect
397. #387	C₂²×C₃₇	semidirect
398. #387	C₂²×C₃₇	semidirect
402. #386	C₂²×C₃₇	semidirect
405. #385	C₂²×C₃₇	semidirect
406. #385	C₂²×C₃₇	semidirect
407. #383	C₂²×C₃₇	semidirect
408. #382	C₂²×C₃₇	semidirect
413. #381	C₂²×C₃₇	semidirect
419. #380	C₂²×C₃₇	semidirect
420. C₄×C₄⋊C₄	C₂²×C₃₇	semidirect
423. C₄×C₂²⋊C₄	C₂²×C₃₇	semidirect
424. #376	C₂²×C₃₇	semidirect
429. C₂×#95	C₂²×C₃₇	semidirect
430. C₃₇	#34386	direct (N × H)
433. C₂×#41	C₂×C₄×C₃₇	semidirect
440. C₂³×C₄	C₂×C₄×C₃₇	semidirect
452. #123	C₂×C₄×C₃₇	semidirect
453. C₂²⋊Q₈	C₂×C₄×C₃₇	semidirect
454. C₂²⋊Q₈	C₂×C₄×C₃₇	semidirect
455. #121	C₂×C₄×C₃₇	semidirect
456. #121	C₂×C₄×C₃₇	semidirect
457. #120	C₂×C₄×C₃₇	semidirect
460. C₄×D₄	C₂×C₄×C₃₇	semidirect
461. C₄×D₄	C₂×C₄×C₃₇	semidirect
462. #117	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×#525	2
C₃₇×#2378	2
C₃₇×#2377	2
C₃₇×#2358	2
C₃₇×#2353	2
C₃₇×#2349	2
C₃₇×#2343	2
C₃₇×#2339	2
C₃₇×#2329	2
C₃₇×#2325	2
C₃₇×#2322	2
C₃₇×#2319	2
C₃₇×#2318	2
C₂×C₃₇×#381	2
C₂×C₃₇×#380	2
#34386	37

Subgroups — C37×#34386 #22655639

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#34386 #22655639