Subgroups — C₃₇×#62793 #22684046

Order 9472.

7190 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3524	C₂	1	8	yes	maximal, complemented
2	C₃₇×#3518	C₂	1	4	yes	maximal, complemented
3	C₃₇×#3517	C₂	1	4	yes	maximal, complemented
4	C₃₇×#3506	C₂	1	6	yes	maximal, complemented
5	C₃₇×#3502	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#3497	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#3493	C₂	1	6	yes	maximal, complemented
8	C₃₇×#3487	C₂	1	2	yes	maximal, complemented
9	C₃₇×#3483	C₂	1	4	yes	maximal, complemented
10	C₃₇×#3482	C₂	1	4	yes	maximal, complemented
11	C₃₇×#3480	C₂	1	8	yes	maximal, complemented
12	C₃₇×#3460	C₂	1	6	yes	maximal, complemented
13	C₃₇×#3444	C₂	1	6	yes	maximal, complemented
14	C₄×2₋¹⁺⁴×C₃₇	C₂	1	2	yes	maximal, complemented
15	C₂×C₄×#41×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×2₋¹⁺⁴×C₃₇	C₂²	1	2	yes	—
17	C₂²×#41×C₃₇	C₂²	1	1	yes	characteristic
18	C₃₇×#559	C₂²	1	24	yes	complemented
19	Q₈²×C₃₇	C₂²	1	4	yes	complemented
20	C₃₇×#557	C₂²	1	8	yes	complemented
21	C₃₇×#557	C₂²	1	4	yes	complemented
22	C₃₇×#556	C₂²	1	24	yes	complemented
23	C₃₇×#556	C₂²	1	12	yes	complemented
24	C₃₇×#555	C₂²	1	24	yes	complemented
25	C₃₇×#555	C₂²	1	12	yes	complemented
26	C₃₇×#553	C₂²	1	24	yes	complemented
27	C₃₇×#553	C₂²	1	24	yes	complemented
28	C₃₇×#552	C₂²	1	24	yes	complemented
29	C₃₇×#550	C₂²	1	8	yes	—
30	C₃₇×#550	C₂²	1	8	yes	—
31	C₃₇×#550	C₂²	1	4	yes	complemented
32	C₃₇×#550	C₂²	1	12	yes	complemented
33	D₄×Q₈×C₃₇	C₂²	1	4	yes	complemented
34	C₃₇×#548	C₂²	1	8	yes	—
35	C₃₇×#548	C₂²	1	8	yes	—
36	C₃₇×#548	C₂²	1	8	yes	complemented
37	C₃₇×#547	C₂²	1	12	yes	complemented
38	C₃₇×#544	C₂²	1	6	yes	—
39	C₃₇×#542	C₂²	1	24	yes	complemented
40	C₃₇×#540	C₂²	1	24	yes	complemented
41	C₃₇×#538	C₂²	1	24	yes	—
42	C₃₇×#537	C₂²	1	6	yes	—
43	C₃₇×#535	C₂²	1	12	yes	—
44	C₃₇×#533	C₂²	1	6	yes	—
45	C₃₇×#533	C₂²	1	6	yes	complemented
46	C₃₇×#533	C₂²	1	6	yes	complemented
47	C₃₇×#532	C₂²	1	6	yes	—
48	C₃₇×#532	C₂²	1	6	yes	complemented
49	C₃₇×#532	C₂²	1	6	yes	complemented
50	C₃₇×#532	C₂²	1	24	yes	complemented
51	C₃₇×#529	C₂²	1	4	yes	—
52	C₃₇×#529	C₂²	1	12	yes	—
53	C₃₇×#529	C₂²	1	12	yes	complemented
54	C₃₇×#529	C₂²	1	12	yes	complemented
55	C₃₇×#529	C₂²	1	12	yes	complemented
56	C₃₇×#529	C₂²	1	12	yes	complemented
57	C₃₇×#529	C₂²	1	24	yes	complemented
58	C₃₇×#525	C₂²	1	12	yes	—
59	C₃₇×#525	C₂²	1	12	yes	—
60	C₃₇×#525	C₂²	1	12	yes	—
61	C₃₇×#520	C₂²	1	12	yes	—
62	C₃₇×#520	C₂²	1	8	yes	complemented
63	C₃₇×#519	C₂²	1	2	yes	—
64	C₃₇×#519	C₂²	1	8	yes	complemented
65	C₄×#41×C₃₇	C₂²	1	4	yes	—
66	C₄×#41×C₃₇	C₂²	1	4	yes	—
67	C₄×#41×C₃₇	C₂²	1	4	yes	—
68	C₄×#41×C₃₇	C₂²	1	4	yes	—
69	C₄×#41×C₃₇	C₂²	1	12	yes	—
70	C₄×#41×C₃₇	C₂²	1	8	yes	complemented
71	C₄×#41×C₃₇	C₂²	1	12	yes	complemented
72	C₄×#41×C₃₇	C₂²	1	12	yes	complemented
73	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
74	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
75	C₂×C₄×Q₈×C₃₇	C₂²	1	8	yes	complemented
76	C₂×C₄×D₄×C₃₇	C₂²	1	3	yes	—
77	C₂×C₄×D₄×C₃₇	C₂²	1	3	yes	—
78	C₂×#117×C₃₇	C₂²	1	3	yes	—
79	C₂²×C₄²×C₃₇	C₂²	1	3	yes	—
80	2₋¹⁺⁴×C₃₇	—	2	16	no	—
81	C₂×#41×C₃₇	—	2	8	no	—
82	C₂×#41×C₃₇	C₂³	1	12	yes	—
83	C₂×#41×C₃₇	C₂³	1	8	yes	—
84	C₂×#41×C₃₇	C₂³	1	4	yes	—
85	C₂×#41×C₃₇	C₂³	1	4	yes	—
86	C₂×#41×C₃₇	C₂³	1	12	yes	—
87	C₂×#41×C₃₇	C₂³	1	12	yes	—
88	C₂²×Q₈×C₃₇	C₂³	1	8	yes	—
89	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₃₇	C₂³	1	3	yes	—
91	C₂³×C₄×C₃₇	C₂³	1	3	yes	—
92	C₂³×C₄×C₃₇	C₂³	1	3	yes	—
93	C₂³×C₄×C₃₇	C₂³	1	3	yes	—
94	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
95	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
96	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
97	C₄⋊Q₈×C₃₇	C₂³	1	24	yes	—
98	#127×C₃₇	C₂³	1	6	yes	—
99	#127×C₃₇	C₂³	1	24	yes	—
100	#126×C₃₇	C₂³	1	8	yes	—
101	#126×C₃₇	C₂³	1	24	yes	—
102	#126×C₃₇	C₂³	1	48	yes	—
103	#125×C₃₇	C₂³	1	4	yes	—
104	#125×C₃₇	C₂³	1	12	yes	—
105	#125×C₃₇	C₂³	1	12	yes	—
106	#125×C₃₇	C₂³	1	24	yes	—
107	#124×C₃₇	C₂³	1	4	yes	—
108	#124×C₃₇	C₂³	1	12	yes	—
109	#124×C₃₇	C₂³	1	12	yes	—
110	#124×C₃₇	C₂³	1	24	yes	—
111	#124×C₃₇	C₂³	1	48	yes	—
112	#123×C₃₇	C₂³	1	8	yes	—
113	#123×C₃₇	C₂³	1	24	yes	—
114	#123×C₃₇	C₂³	1	24	yes	—
115	#123×C₃₇	C₂³	1	48	yes	—
116	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
117	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
118	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
119	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
120	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
121	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
122	C₂²⋊Q₈×C₃₇	C₂³	1	24	yes	—
123	#121×C₃₇	C₂³	1	4	yes	—
124	#121×C₃₇	C₂³	1	12	yes	—
125	#121×C₃₇	C₂³	1	12	yes	—
126	#121×C₃₇	C₂³	1	12	yes	—
127	#121×C₃₇	C₂³	1	12	yes	—
128	#121×C₃₇	C₂³	1	12	yes	—
129	#121×C₃₇	C₂³	1	24	yes	—
130	#121×C₃₇	C₂³	1	24	yes	—
131	#121×C₃₇	C₂³	1	24	yes	—
132	#121×C₃₇	C₂³	1	48	yes	—
133	#120×C₃₇	C₂³	1	24	yes	—
134	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
135	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
136	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
137	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
138	C₄×Q₈×C₃₇	C₂³	1	24	yes	—
139	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
140	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
141	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
142	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
143	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
144	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
145	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
146	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
147	C₄×D₄×C₃₇	C₂³	1	24	yes	—
148	C₄×D₄×C₃₇	C₂³	1	24	yes	—
149	C₄×D₄×C₃₇	C₂³	1	12	yes	—
150	C₄×D₄×C₃₇	C₂³	1	8	yes	—
151	C₄×D₄×C₃₇	C₂³	1	24	yes	—
152	C₄×D₄×C₃₇	C₂³	1	24	yes	—
153	C₄×D₄×C₃₇	C₂³	1	24	yes	—
154	C₄×D₄×C₃₇	C₂³	1	24	yes	—
155	C₄×D₄×C₃₇	C₂³	1	4	yes	—
156	C₄×D₄×C₃₇	C₂³	1	12	yes	—
157	C₄×D₄×C₃₇	C₂³	1	12	yes	—
158	C₄×D₄×C₃₇	C₂³	1	12	yes	—
159	C₄×D₄×C₃₇	C₂³	1	12	yes	—
160	C₄×D₄×C₃₇	C₂³	1	12	yes	—
161	C₄×D₄×C₃₇	C₂³	1	12	yes	—
162	C₄×D₄×C₃₇	C₂³	1	12	yes	—
163	C₄×D₄×C₃₇	C₂³	1	12	yes	—
164	#117×C₃₇	C₂³	1	12	yes	—
165	#117×C₃₇	C₂³	1	24	yes	—
166	#117×C₃₇	C₂³	1	24	yes	—
167	#117×C₃₇	C₂³	1	12	yes	—
168	#117×C₃₇	C₂³	1	12	yes	—
169	#117×C₃₇	C₂³	1	8	yes	—
170	#117×C₃₇	C₂³	1	24	yes	—
171	#117×C₃₇	C₂³	1	12	yes	—
172	#117×C₃₇	C₂³	1	12	yes	—
173	C₂×C₄⋊C₄×C₃₇	C₂³	1	3	yes	—
174	C₂×C₄⋊C₄×C₃₇	C₂³	1	24	yes	—
175	C₂×C₄⋊C₄×C₃₇	C₂³	1	3	yes	—
176	C₂×C₂²⋊C₄×C₃₇	C₂³	1	6	yes	—
177	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
178	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
179	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
180	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
181	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
182	C₂×C₄²×C₃₇	C₂³	1	24	yes	—
183	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
184	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
185	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
186	C₂⁴×C₃₇	C₂⁴	1	3	yes	—
187	#41×C₃₇	—	2	16	no	—
188	#41×C₃₇	—	2	16	no	—
189	#41×C₃₇	—	2	32	no	—
190	#41×C₃₇	—	2	48	no	—
191	#41×C₃₇	—	4	24	no	—
192	#41×C₃₇	—	4	24	no	—
193	C₂×Q₈×C₃₇	—	2	32	no	—
194	C₂×Q₈×C₃₇	#41	1	8	yes	complemented
195	C₂×Q₈×C₃₇	C₂⁴	1	12	yes	—
196	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
197	C₂×Q₈×C₃₇	C₂⁴	1	12	yes	—
198	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
199	C₂×D₄×C₃₇	—	2	12	no	—
200	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
201	C₂×D₄×C₃₇	C₂⁴	1	12	yes	—
202	C₂×D₄×C₃₇	C₂⁴	1	12	yes	—
203	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
204	C₂×D₄×C₃₇	C₂⁴	1	24	yes	—
205	C₂×D₄×C₃₇	C₂⁴	1	24	yes	—
206	C₂×D₄×C₃₇	C₂⁴	1	12	yes	—
207	C₂²×C₄×C₃₇	—	2	12	no	—
208	C₂²×C₄×C₃₇	—	4	6	no	—
209	C₂²×C₄×C₃₇	—	4	6	no	—
210	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
213	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
214	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
215	C₂²×C₄×C₃₇	C₂⁴	1	24	yes	—
216	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
218	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
219	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
220	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
221	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
222	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
223	C₂²×C₄×C₃₇	C₂⁴	1	24	yes	—
224	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
225	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
226	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
227	C₄⋊C₄×C₃₇	C₂⁴	1	24	yes	—
228	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
229	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
230	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
231	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
232	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
233	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
234	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
235	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
236	C₄⋊C₄×C₃₇	C₂⁴	1	24	yes	—
237	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
238	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
239	C₂²⋊C₄×C₃₇	C₂⁴	1	24	yes	—
240	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
241	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
242	C₂²⋊C₄×C₃₇	C₂⁴	1	24	yes	—
243	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
244	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
245	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
246	C₂²⋊C₄×C₃₇	C₂⁴	1	24	yes	—
247	C₂²⋊C₄×C₃₇	C₂⁴	1	24	yes	—
248	C₂²⋊C₄×C₃₇	C₂⁴	1	24	yes	—
249	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
250	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
251	C₄²×C₃₇	C₂⁴	1	6	yes	—
252	C₄²×C₃₇	C₂⁴	1	6	yes	—
253	C₄²×C₃₇	C₂⁴	1	6	yes	—
254	C₄²×C₃₇	C₂⁴	1	6	yes	—
255	C₄²×C₃₇	C₂⁴	1	6	yes	—
256	C₄²×C₃₇	C₂⁴	1	24	yes	—
257	C₄²×C₃₇	C₂⁴	1	24	yes	—
258	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
259	C₄²×C₃₇	C₂⁴	1	6	yes	—
260	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
261	C₄²×C₃₇	C₂⁴	1	8	yes	—
262	C₂³×C₃₇	—	2	6	no	—
263	C₂³×C₃₇	—	4	3	no	—
264	C₂³×C₃₇	—	4	3	no	—
265	C₂³×C₃₇	C₂⁵	1	6	yes	—
266	C₂³×C₃₇	C₂⁵	1	8	yes	—
267	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
268	Q₈×C₃₇	—	2	24	no	—
269	Q₈×C₃₇	—	2	8	no	—
270	Q₈×C₃₇	—	4	12	no	—
271	Q₈×C₃₇	C₂×#41	1	16	yes	—
272	D₄×C₃₇	—	2	16	no	—
273	D₄×C₃₇	—	2	24	no	—
274	D₄×C₃₇	—	2	24	no	—
275	D₄×C₃₇	—	2	8	no	—
276	D₄×C₃₇	—	4	12	no	—
277	D₄×C₃₇	—	4	24	no	—
278	D₄×C₃₇	—	4	24	no	—
279	C₂×C₄×C₃₇	—	2	2	no	—
280	C₂×C₄×C₃₇	—	2	12	no	—
281	C₂×C₄×C₃₇	—	2	12	no	—
282	C₂×C₄×C₃₇	—	2	48	no	—
283	C₂×C₄×C₃₇	—	2	2	no	—
284	C₂×C₄×C₃₇	—	2	2	no	—
285	C₂×C₄×C₃₇	—	2	12	no	—
286	C₂×C₄×C₃₇	—	2	12	no	—
287	C₂×C₄×C₃₇	—	2	16	no	—
288	C₂×C₄×C₃₇	—	4	3	no	—
289	C₂×C₄×C₃₇	—	4	6	no	—
290	C₂×C₄×C₃₇	—	4	6	no	—
291	C₂×C₄×C₃₇	—	4	3	no	—
292	C₂×C₄×C₃₇	—	4	24	no	—
293	C₂×C₄×C₃₇	C₂×#41	1	12	yes	—
294	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
295	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
296	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
297	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
298	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
299	C₂×C₄×C₃₇	C₂⁵	1	8	yes	—
300	C₂×C₄×C₃₇	C₂⁵	1	8	yes	—
301	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
302	C₂×C₄×C₃₇	C₂⁵	1	8	yes	—
303	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
304	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
305	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
306	#62793	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
307	C₂²×C₃₇	—	2	1	no	—
308	C₂²×C₃₇	—	2	1	no	—
309	C₂²×C₃₇	—	2	8	no	—
310	C₂²×C₃₇	—	2	6	no	—
311	C₂²×C₃₇	—	2	6	no	—
312	C₂²×C₃₇	—	2	6	no	—
313	C₂²×C₃₇	—	2	8	no	—
314	C₂²×C₃₇	—	2	8	no	—
315	C₂²×C₃₇	—	4	12	no	—
316	C₂²×C₃₇	C₂²×#41	1	2	yes	—
317	C₂²×C₃₇	C₂⁶	1	1	yes	characteristic
318	C₄×C₃₇	—	2	1	no	—
319	C₄×C₃₇	—	2	1	no	—
320	C₄×C₃₇	—	2	8	no	—
321	C₄×C₃₇	—	2	1	no	—
322	C₄×C₃₇	—	2	1	no	—
323	C₄×C₃₇	—	2	6	no	—
324	C₄×C₃₇	—	2	6	no	—
325	C₄×C₃₇	—	2	8	no	—
326	C₄×C₃₇	—	2	8	no	—
327	C₄×C₃₇	C₂²×#41	1	12	yes	—
328	C₄×C₃₇	#585	1	2	yes	—
329	C₄×C₃₇	#585	1	2	yes	—
330	#3524	C₂×C₃₇	1	8	yes	complemented
331	#3518	C₂×C₃₇	1	4	yes	complemented
332	#3517	C₂×C₃₇	1	4	yes	complemented
333	#3506	C₂×C₃₇	1	6	yes	complemented
334	#3502	C₂×C₃₇	1	1	yes	characteristic, complemented
335	#3497	C₂×C₃₇	1	1	yes	characteristic, complemented
336	#3493	C₂×C₃₇	1	6	yes	complemented
337	#3487	C₂×C₃₇	1	2	yes	complemented
338	#3483	C₂×C₃₇	1	4	yes	complemented
339	#3482	C₂×C₃₇	1	4	yes	complemented
340	#3480	C₂×C₃₇	1	8	yes	complemented
341	#3460	C₂×C₃₇	1	6	yes	complemented
342	#3444	C₂×C₃₇	1	6	yes	complemented
343	C₄×2₋¹⁺⁴	C₂×C₃₇	1	2	yes	complemented
344	C₂×C₄×#41	C₂×C₃₇	1	1	yes	characteristic, complemented
345	C₂×C₃₇	—	2	2	no	—
346	C₂×C₃₇	—	4	8	no	—
347	C₂×C₃₇	—	4	6	no	—
348	C₂×C₃₇	C₂³×#41	1	1	yes	characteristic
349	C₂×C₃₇	C₂×#585	1	1	yes	characteristic
350	C₂×C₃₇	C₂×#585	1	1	yes	characteristic
351	C₂×2₋¹⁺⁴	C₂²×C₃₇	1	2	yes	—
352	C₂²×#41	C₂²×C₃₇	1	1	yes	characteristic
353	#559	C₂²×C₃₇	1	24	yes	complemented
354	Q₈²	C₂²×C₃₇	1	4	yes	complemented
355	#557	C₂²×C₃₇	1	8	yes	complemented
356	#557	C₂²×C₃₇	1	4	yes	complemented
357	#556	C₂²×C₃₇	1	24	yes	complemented
358	#556	C₂²×C₃₇	1	12	yes	complemented
359	#555	C₂²×C₃₇	1	24	yes	complemented
360	#555	C₂²×C₃₇	1	12	yes	complemented
361	#553	C₂²×C₃₇	1	24	yes	complemented
362	#553	C₂²×C₃₇	1	24	yes	complemented
363	#552	C₂²×C₃₇	1	24	yes	complemented
364	#550	C₂²×C₃₇	1	8	yes	—
365	#550	C₂²×C₃₇	1	8	yes	—
366	#550	C₂²×C₃₇	1	4	yes	complemented
367	#550	C₂²×C₃₇	1	12	yes	complemented
368	D₄×Q₈	C₂²×C₃₇	1	4	yes	complemented
369	#548	C₂²×C₃₇	1	8	yes	—
370	#548	C₂²×C₃₇	1	8	yes	—
371	#548	C₂²×C₃₇	1	8	yes	complemented
372	#547	C₂²×C₃₇	1	12	yes	complemented
373	#544	C₂²×C₃₇	1	6	yes	—
374	#542	C₂²×C₃₇	1	24	yes	complemented
375	#540	C₂²×C₃₇	1	24	yes	complemented
376	#538	C₂²×C₃₇	1	24	yes	—
377	#537	C₂²×C₃₇	1	6	yes	—
378	#535	C₂²×C₃₇	1	12	yes	—
379	#533	C₂²×C₃₇	1	6	yes	—
380	#533	C₂²×C₃₇	1	6	yes	complemented
381	#533	C₂²×C₃₇	1	6	yes	complemented
382	#532	C₂²×C₃₇	1	6	yes	—
383	#532	C₂²×C₃₇	1	6	yes	complemented
384	#532	C₂²×C₃₇	1	6	yes	complemented
385	#532	C₂²×C₃₇	1	24	yes	complemented
386	#529	C₂²×C₃₇	1	4	yes	—
387	#529	C₂²×C₃₇	1	12	yes	—
388	#529	C₂²×C₃₇	1	12	yes	complemented
389	#529	C₂²×C₃₇	1	12	yes	complemented
390	#529	C₂²×C₃₇	1	12	yes	complemented
391	#529	C₂²×C₃₇	1	12	yes	complemented
392	#529	C₂²×C₃₇	1	24	yes	complemented
393	#525	C₂²×C₃₇	1	12	yes	—
394	#525	C₂²×C₃₇	1	12	yes	—
395	#525	C₂²×C₃₇	1	12	yes	—
396	#520	C₂²×C₃₇	1	12	yes	—
397	#520	C₂²×C₃₇	1	8	yes	complemented
398	#519	C₂²×C₃₇	1	2	yes	—
399	#519	C₂²×C₃₇	1	8	yes	complemented
400	C₄×#41	C₂²×C₃₇	1	4	yes	—
401	C₄×#41	C₂²×C₃₇	1	4	yes	—
402	C₄×#41	C₂²×C₃₇	1	4	yes	—
403	C₄×#41	C₂²×C₃₇	1	4	yes	—
404	C₄×#41	C₂²×C₃₇	1	12	yes	—
405	C₄×#41	C₂²×C₃₇	1	8	yes	complemented
406	C₄×#41	C₂²×C₃₇	1	12	yes	complemented
407	C₄×#41	C₂²×C₃₇	1	12	yes	complemented
408	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
409	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
410	C₂×C₄×Q₈	C₂²×C₃₇	1	8	yes	complemented
411	C₂×C₄×D₄	C₂²×C₃₇	1	3	yes	—
412	C₂×C₄×D₄	C₂²×C₃₇	1	3	yes	—
413	C₂×#117	C₂²×C₃₇	1	3	yes	—
414	C₂²×C₄²	C₂²×C₃₇	1	3	yes	—
415	C₃₇	#62793	1	1	yes	characteristic, direct product factor, Sylow
416	2₋¹⁺⁴	—	2	16	no	—
417	C₂×#41	—	2	8	no	—
418	C₂×#41	C₂³×C₃₇	1	4	yes	—
419	C₂×#41	C₂³×C₃₇	1	4	yes	—
420	C₂×#41	C₂³×C₃₇	1	12	yes	—
421	C₂×#41	C₂³×C₃₇	1	8	yes	—
422	C₂×#41	C₂³×C₃₇	1	12	yes	—
423	C₂×#41	C₂³×C₃₇	1	12	yes	—
424	C₂²×Q₈	C₂³×C₃₇	1	8	yes	—
425	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
426	C₂²×D₄	C₂³×C₃₇	1	3	yes	—
427	C₂³×C₄	C₂³×C₃₇	1	3	yes	—
428	C₂³×C₄	C₂³×C₃₇	1	3	yes	—
429	C₂³×C₄	C₂³×C₃₇	1	3	yes	—
430	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
431	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
432	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
433	C₄⋊Q₈	C₂³×C₃₇	1	24	yes	—
434	#127	C₂³×C₃₇	1	6	yes	—
435	#127	C₂³×C₃₇	1	24	yes	—
436	#126	C₂³×C₃₇	1	8	yes	—
437	#126	C₂³×C₃₇	1	24	yes	—
438	#126	C₂³×C₃₇	1	48	yes	—
439	#125	C₂³×C₃₇	1	4	yes	—
440	#125	C₂³×C₃₇	1	12	yes	—
441	#125	C₂³×C₃₇	1	12	yes	—
442	#125	C₂³×C₃₇	1	24	yes	—
443	#124	C₂³×C₃₇	1	4	yes	—
444	#124	C₂³×C₃₇	1	12	yes	—
445	#124	C₂³×C₃₇	1	12	yes	—
446	#124	C₂³×C₃₇	1	24	yes	—
447	#124	C₂³×C₃₇	1	48	yes	—
448	#123	C₂³×C₃₇	1	8	yes	—
449	#123	C₂³×C₃₇	1	24	yes	—
450	#123	C₂³×C₃₇	1	24	yes	—
451	#123	C₂³×C₃₇	1	48	yes	—
452	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
453	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
454	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
455	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
456	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
457	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
458	C₂²⋊Q₈	C₂³×C₃₇	1	24	yes	—
459	#121	C₂³×C₃₇	1	4	yes	—
460	#121	C₂³×C₃₇	1	12	yes	—
461	#121	C₂³×C₃₇	1	12	yes	—
462	#121	C₂³×C₃₇	1	12	yes	—
463	#121	C₂³×C₃₇	1	12	yes	—
464	#121	C₂³×C₃₇	1	12	yes	—
465	#121	C₂³×C₃₇	1	24	yes	—
466	#121	C₂³×C₃₇	1	24	yes	—
467	#121	C₂³×C₃₇	1	24	yes	—
468	#121	C₂³×C₃₇	1	48	yes	—
469	#120	C₂³×C₃₇	1	24	yes	—
470	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
471	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
472	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
473	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
474	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
475	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
476	C₄×Q₈	C₂³×C₃₇	1	24	yes	—
477	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
478	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
479	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
480	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
481	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
482	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
483	C₄×D₄	C₂³×C₃₇	1	12	yes	—
484	C₄×D₄	C₂³×C₃₇	1	12	yes	—
485	C₄×D₄	C₂³×C₃₇	1	12	yes	—
486	C₄×D₄	C₂³×C₃₇	1	12	yes	—
487	C₄×D₄	C₂³×C₃₇	1	8	yes	—
488	C₄×D₄	C₂³×C₃₇	1	12	yes	—
489	C₄×D₄	C₂³×C₃₇	1	24	yes	—
490	C₄×D₄	C₂³×C₃₇	1	12	yes	—
491	C₄×D₄	C₂³×C₃₇	1	4	yes	—
492	C₄×D₄	C₂³×C₃₇	1	24	yes	—
493	C₄×D₄	C₂³×C₃₇	1	24	yes	—
494	C₄×D₄	C₂³×C₃₇	1	24	yes	—
495	C₄×D₄	C₂³×C₃₇	1	24	yes	—
496	C₄×D₄	C₂³×C₃₇	1	24	yes	—
497	C₄×D₄	C₂³×C₃₇	1	12	yes	—
498	C₄×D₄	C₂³×C₃₇	1	12	yes	—
499	C₄×D₄	C₂³×C₃₇	1	12	yes	—
500	#117	C₂³×C₃₇	1	12	yes	—
501	#117	C₂³×C₃₇	1	12	yes	—
502	#117	C₂³×C₃₇	1	12	yes	—
503	#117	C₂³×C₃₇	1	24	yes	—
504	#117	C₂³×C₃₇	1	8	yes	—
505	#117	C₂³×C₃₇	1	24	yes	—
506	#117	C₂³×C₃₇	1	12	yes	—
507	#117	C₂³×C₃₇	1	12	yes	—
508	#117	C₂³×C₃₇	1	24	yes	—
509	C₂×C₄⋊C₄	C₂³×C₃₇	1	3	yes	—
510	C₂×C₄⋊C₄	C₂³×C₃₇	1	3	yes	—
511	C₂×C₄⋊C₄	C₂³×C₃₇	1	24	yes	—
512	C₂×C₂²⋊C₄	C₂³×C₃₇	1	6	yes	—
513	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
514	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
515	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
516	C₂×C₄²	C₂³×C₃₇	1	24	yes	—
517	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
518	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
519	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
520	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
521	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
522	C₂⁴	C₂⁴×C₃₇	1	3	yes	—
523	#41	—	2	16	no	—
524	#41	—	2	16	no	—
525	#41	—	2	32	no	—
526	#41	—	2	48	no	—
527	#41	—	4	24	no	—
528	#41	—	4	24	no	—
529	C₂×Q₈	—	2	32	no	—
530	C₂×Q₈	#41×C₃₇	1	8	yes	complemented
531	C₂×Q₈	C₂⁴×C₃₇	1	12	yes	—
532	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
533	C₂×Q₈	C₂⁴×C₃₇	1	12	yes	—
534	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
535	C₂×D₄	—	2	12	no	—
536	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
537	C₂×D₄	C₂⁴×C₃₇	1	12	yes	—
538	C₂×D₄	C₂⁴×C₃₇	1	12	yes	—
539	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
540	C₂×D₄	C₂⁴×C₃₇	1	24	yes	—
541	C₂×D₄	C₂⁴×C₃₇	1	24	yes	—
542	C₂×D₄	C₂⁴×C₃₇	1	12	yes	—
543	C₂²×C₄	—	2	12	no	—
544	C₂²×C₄	—	4	6	no	—
545	C₂²×C₄	—	4	6	no	—
546	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
547	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
550	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
551	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
552	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
553	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
554	C₂²×C₄	C₂⁴×C₃₇	1	24	yes	—
555	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
556	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
557	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
558	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
559	C₂²×C₄	C₂⁴×C₃₇	1	24	yes	—
560	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
561	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
562	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
563	C₄⋊C₄	C₂⁴×C₃₇	1	24	yes	—
564	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
565	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
566	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
567	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
568	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
569	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
570	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
571	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
572	C₄⋊C₄	C₂⁴×C₃₇	1	24	yes	—
573	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
574	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
575	C₂²⋊C₄	C₂⁴×C₃₇	1	24	yes	—
576	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
577	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
578	C₂²⋊C₄	C₂⁴×C₃₇	1	24	yes	—
579	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
580	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
581	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
582	C₂²⋊C₄	C₂⁴×C₃₇	1	24	yes	—
583	C₂²⋊C₄	C₂⁴×C₃₇	1	24	yes	—
584	C₂²⋊C₄	C₂⁴×C₃₇	1	24	yes	—
585	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
586	C₄²	C₂⁴×C₃₇	1	6	yes	—
587	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
588	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
589	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
590	C₄²	C₂⁴×C₃₇	1	6	yes	—
591	C₄²	C₂⁴×C₃₇	1	6	yes	—
592	C₄²	C₂⁴×C₃₇	1	8	yes	—
593	C₄²	C₂⁴×C₃₇	1	6	yes	—
594	C₄²	C₂⁴×C₃₇	1	6	yes	—
595	C₄²	C₂⁴×C₃₇	1	6	yes	—
596	C₄²	C₂⁴×C₃₇	1	24	yes	—
597	C₄²	C₂⁴×C₃₇	1	24	yes	—
598	C₂³	—	2	6	no	—
599	C₂³	—	4	3	no	—
600	C₂³	—	4	3	no	—
601	C₂³	C₂⁵×C₃₇	1	6	yes	—
602	C₂³	C₂⁵×C₃₇	1	8	yes	—
603	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
604	Q₈	—	2	24	no	—
605	Q₈	—	2	8	no	—
606	Q₈	—	4	12	no	—
607	Q₈	C₂×#41×C₃₇	1	16	yes	—
608	D₄	—	2	16	no	—
609	D₄	—	2	24	no	—
610	D₄	—	2	24	no	—
611	D₄	—	2	8	no	—
612	D₄	—	4	12	no	—
613	D₄	—	4	24	no	—
614	D₄	—	4	24	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	12	no	—
617	C₂×C₄	—	2	12	no	—
618	C₂×C₄	—	2	48	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	12	no	—
622	C₂×C₄	—	2	12	no	—
623	C₂×C₄	—	2	16	no	—
624	C₂×C₄	—	4	3	no	—
625	C₂×C₄	—	4	6	no	—
626	C₂×C₄	—	4	6	no	—
627	C₂×C₄	—	4	3	no	—
628	C₂×C₄	—	4	24	no	—
629	C₂×C₄	C₂×#41×C₃₇	1	12	yes	—
630	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
631	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
632	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
633	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
634	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
635	C₂×C₄	C₂⁵×C₃₇	1	8	yes	—
636	C₂×C₄	C₂⁵×C₃₇	1	8	yes	—
637	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
638	C₂×C₄	C₂⁵×C₃₇	1	8	yes	—
639	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
640	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
641	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
642	C₂²	—	2	1	no	—
643	C₂²	—	2	1	no	—
644	C₂²	—	2	8	no	—
645	C₂²	—	2	6	no	—
646	C₂²	—	2	6	no	—
647	C₂²	—	2	6	no	—
648	C₂²	—	2	8	no	—
649	C₂²	—	2	8	no	—
650	C₂²	—	4	12	no	—
651	C₂²	C₂²×#41×C₃₇	1	2	yes	—
652	C₂²	C₂⁶×C₃₇	1	1	yes	characteristic
653	C₄	—	2	1	no	—
654	C₄	—	2	1	no	—
655	C₄	—	2	8	no	—
656	C₄	—	2	1	no	—
657	C₄	—	2	1	no	—
658	C₄	—	2	6	no	—
659	C₄	—	2	6	no	—
660	C₄	—	2	8	no	—
661	C₄	—	2	8	no	—
662	C₄	C₂²×#41×C₃₇	1	12	yes	—
663	C₄	C₃₇×#585	1	2	yes	—
664	C₄	C₃₇×#585	1	2	yes	—
665	C₂	—	2	2	no	—
666	C₂	—	4	6	no	—
667	C₂	—	4	8	no	—
668	C₂	C₂³×#41×C₃₇	1	1	yes	characteristic
669	C₂	C₂×C₃₇×#585	1	1	yes	characteristic
670	C₂	C₂×C₃₇×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₃₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃₇
socle	C₂²×C₃₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3524	C₂	semidirect
2. C₃₇×#3518	C₂	semidirect
3. C₃₇×#3517	C₂	semidirect
4. C₃₇×#3506	C₂	semidirect
5. C₃₇×#3502	C₂	semidirect
6. C₃₇×#3497	C₂	semidirect
7. C₃₇×#3493	C₂	semidirect
8. C₃₇×#3487	C₂	semidirect
9. C₃₇×#3483	C₂	semidirect
10. C₃₇×#3482	C₂	semidirect
11. C₃₇×#3480	C₂	semidirect
12. C₃₇×#3460	C₂	semidirect
13. C₃₇×#3444	C₂	semidirect
14. C₄×2₋¹⁺⁴×C₃₇	C₂	semidirect
15. C₂×C₄×#41×C₃₇	C₂	semidirect
18. C₃₇×#559	C₂²	semidirect
19. Q₈²×C₃₇	C₂²	semidirect
20. C₃₇×#557	C₂²	semidirect
21. C₃₇×#557	C₂²	semidirect
22. C₃₇×#556	C₂²	semidirect
23. C₃₇×#556	C₂²	semidirect
24. C₃₇×#555	C₂²	semidirect
25. C₃₇×#555	C₂²	semidirect
26. C₃₇×#553	C₂²	semidirect
27. C₃₇×#553	C₂²	semidirect
28. C₃₇×#552	C₂²	semidirect
31. C₃₇×#550	C₂²	semidirect
32. C₃₇×#550	C₂²	semidirect
33. D₄×Q₈×C₃₇	C₂²	semidirect
36. C₃₇×#548	C₂²	semidirect
37. C₃₇×#547	C₂²	semidirect
39. C₃₇×#542	C₂²	semidirect
40. C₃₇×#540	C₂²	semidirect
45. C₃₇×#533	C₂²	semidirect
46. C₃₇×#533	C₂²	semidirect
48. C₃₇×#532	C₂²	semidirect
49. C₃₇×#532	C₂²	semidirect
50. C₃₇×#532	C₂²	semidirect
53. C₃₇×#529	C₂²	semidirect
54. C₃₇×#529	C₂²	semidirect
55. C₃₇×#529	C₂²	semidirect
56. C₃₇×#529	C₂²	semidirect
57. C₃₇×#529	C₂²	semidirect
62. C₃₇×#520	C₂²	semidirect
64. C₃₇×#519	C₂²	semidirect
70. C₄×#41×C₃₇	C₂²	semidirect
71. C₄×#41×C₃₇	C₂²	semidirect
72. C₄×#41×C₃₇	C₂²	semidirect
75. C₂×C₄×Q₈×C₃₇	C₂²	semidirect
194. C₂×Q₈×C₃₇	#41	semidirect
306. #62793	C₃₇	direct (N × H)
330. #3524	C₂×C₃₇	semidirect
331. #3518	C₂×C₃₇	semidirect
332. #3517	C₂×C₃₇	semidirect
333. #3506	C₂×C₃₇	semidirect
334. #3502	C₂×C₃₇	semidirect
335. #3497	C₂×C₃₇	semidirect
336. #3493	C₂×C₃₇	semidirect
337. #3487	C₂×C₃₇	semidirect
338. #3483	C₂×C₃₇	semidirect
339. #3482	C₂×C₃₇	semidirect
340. #3480	C₂×C₃₇	semidirect
341. #3460	C₂×C₃₇	semidirect
342. #3444	C₂×C₃₇	semidirect
343. C₄×2₋¹⁺⁴	C₂×C₃₇	semidirect
344. C₂×C₄×#41	C₂×C₃₇	semidirect
353. #559	C₂²×C₃₇	semidirect
354. Q₈²	C₂²×C₃₇	semidirect
355. #557	C₂²×C₃₇	semidirect
356. #557	C₂²×C₃₇	semidirect
357. #556	C₂²×C₃₇	semidirect
358. #556	C₂²×C₃₇	semidirect
359. #555	C₂²×C₃₇	semidirect
360. #555	C₂²×C₃₇	semidirect
361. #553	C₂²×C₃₇	semidirect
362. #553	C₂²×C₃₇	semidirect
363. #552	C₂²×C₃₇	semidirect
366. #550	C₂²×C₃₇	semidirect
367. #550	C₂²×C₃₇	semidirect
368. D₄×Q₈	C₂²×C₃₇	semidirect
371. #548	C₂²×C₃₇	semidirect
372. #547	C₂²×C₃₇	semidirect
374. #542	C₂²×C₃₇	semidirect
375. #540	C₂²×C₃₇	semidirect
380. #533	C₂²×C₃₇	semidirect
381. #533	C₂²×C₃₇	semidirect
383. #532	C₂²×C₃₇	semidirect
384. #532	C₂²×C₃₇	semidirect
385. #532	C₂²×C₃₇	semidirect
388. #529	C₂²×C₃₇	semidirect
389. #529	C₂²×C₃₇	semidirect
390. #529	C₂²×C₃₇	semidirect
391. #529	C₂²×C₃₇	semidirect
392. #529	C₂²×C₃₇	semidirect
397. #520	C₂²×C₃₇	semidirect
399. #519	C₂²×C₃₇	semidirect
405. C₄×#41	C₂²×C₃₇	semidirect
406. C₄×#41	C₂²×C₃₇	semidirect
407. C₄×#41	C₂²×C₃₇	semidirect
410. C₂×C₄×Q₈	C₂²×C₃₇	semidirect
415. C₃₇	#62793	direct (N × H)
530. C₂×Q₈	#41×C₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₃₇×#3524	2
C₃₇×#3518	2
C₃₇×#3517	2
C₃₇×#3506	2
C₃₇×#3502	2
C₃₇×#3497	2
C₃₇×#3493	2
C₃₇×#3487	2
C₃₇×#3483	2
C₃₇×#3482	2
C₃₇×#3480	2
C₃₇×#3460	2
C₃₇×#3444	2
C₄×2₋¹⁺⁴×C₃₇	2
C₂×C₄×#41×C₃₇	2
#62793	37

Subgroups — C37×#62793 #22684046

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#62793 #22684046