Subgroups — C₂×C₃₇×#3194 #22681990

Order 9472.

2686 conjugacy classes of subgroups.

The subgroup lattice has 702 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, complemented
2	C₂²×#121×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#3194	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₃₇×#482	C₂	1	2	yes	maximal, complemented
5	C₂×C₃₇×#483	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₃₇×#480	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃₇×#469	C₂	1	2	yes	maximal, complemented
8	C₂×C₃₇×#468	C₂	1	2	yes	maximal, complemented
9	C₂×C₃₇×#449	C₂	1	2	yes	maximal, complemented
10	C₂×C₃₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₃₇×#447	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₃₇×#407	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#41×C₃₇	C₂²	1	1	yes	characteristic, complemented
14	C₂³×D₄×C₃₇	—	2	1	no	—
15	C₂³×D₄×C₃₇	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₃₇	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₃₇	C₂²	1	2	yes	complemented
18	C₂²×D₈×C₃₇	C₂²	1	2	yes	complemented
19	C₂²×M₁₆×C₃₇	C₂²	1	2	yes	complemented
20	C₃₇×#525	—	2	4	no	—
21	C₃₇×#525	C₂²	1	8	yes	complemented
22	C₂×#123×C₃₇	—	2	1	no	—
23	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
25	C₂×#121×C₃₇	—	2	1	no	—
26	C₂×#121×C₃₇	—	2	1	no	—
27	C₂×#121×C₃₇	—	2	4	no	—
28	C₂×#121×C₃₇	C₂²	1	2	yes	—
29	C₂×#121×C₃₇	C₂²	1	2	yes	—
30	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
31	C₂×#121×C₃₇	C₂²	1	8	yes	complemented
32	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic, complemented
33	C₂×#120×C₃₇	—	2	1	no	—
34	C₂×C₄×D₄×C₃₇	—	2	1	no	—
35	C₂×C₄×D₄×C₃₇	—	2	1	no	—
36	C₂×#117×C₃₇	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊C₄×C₃₇	—	2	1	no	—
39	C₃₇×#483	C₂²	1	8	yes	complemented
40	C₃₇×#482	C₂²	1	16	yes	complemented
41	C₃₇×#480	C₂²	1	8	yes	complemented
42	C₃₇×#469	C₂²	1	16	yes	complemented
43	C₃₇×#468	C₂²	1	16	yes	complemented
44	C₃₇×#450	C₂²	1	8	yes	complemented
45	C₃₇×#449	C₂²	1	16	yes	complemented
46	C₃₇×#447	C₂²	1	8	yes	complemented
47	C₂×#107×C₃₇	C₂²	1	2	yes	complemented
48	C₂×#106×C₃₇	C₂²	1	2	yes	complemented
49	C₂×#103×C₃₇	C₂²	1	2	yes	complemented
50	C₂×#102×C₃₇	C₂²	1	2	yes	complemented
51	C₂×#102×C₃₇	C₂²	1	2	yes	complemented
52	C₂×#102×C₃₇	C₂²	1	2	yes	complemented
53	C₃₇×#407	C₂²	1	8	yes	complemented
54	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₈×C₃₇	C₂²	1	2	yes	complemented
57	C₂⁵×C₃₇	—	2	1	no	—
58	C₂⁵×C₃₇	D₄	1	1	yes	characteristic
59	C₂×#41×C₃₇	—	2	2	no	—
60	C₂×#41×C₃₇	—	4	4	no	—
61	C₂×#41×C₃₇	C₂³	1	4	yes	complemented
62	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
63	C₂²×D₄×C₃₇	—	2	1	no	—
64	C₂²×D₄×C₃₇	—	2	1	no	—
65	C₂²×D₄×C₃₇	—	2	1	no	—
66	C₂²×D₄×C₃₇	—	2	2	no	—
67	C₂²×D₄×C₃₇	—	2	2	no	—
68	C₂²×D₄×C₃₇	—	2	8	no	—
69	C₂²×D₄×C₃₇	—	2	2	no	—
70	C₂²×D₄×C₃₇	—	2	1	no	—
71	C₂²×D₄×C₃₇	—	4	4	no	—
72	C₂²×D₄×C₃₇	—	4	8	no	—
73	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
74	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
75	C₂²×D₄×C₃₇	C₂³	1	4	yes	—
76	C₂³×C₄×C₃₇	—	2	1	no	—
77	C₂³×C₄×C₃₇	—	2	1	no	—
78	C₂³×C₄×C₃₇	—	4	4	no	—
79	C₂³×C₄×C₃₇	D₄	1	1	yes	characteristic
80	C₂³×C₄×C₃₇	D₄	1	4	yes	—
81	C₂³×C₄×C₃₇	D₄	1	1	yes	characteristic
82	C₂³×C₄×C₃₇	D₄	1	1	yes	characteristic
83	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₃₇	C₂³	1	4	yes	—
87	C₂×SD₁₆×C₃₇	—	4	4	no	—
88	C₂×SD₁₆×C₃₇	C₂³	1	8	yes	complemented
89	C₂×D₈×C₃₇	—	4	4	no	—
90	C₂×D₈×C₃₇	C₂³	1	8	yes	complemented
91	C₂×M₁₆×C₃₇	—	4	4	no	—
92	C₂×M₁₆×C₃₇	C₂³	1	8	yes	complemented
93	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
94	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
95	#123×C₃₇	—	2	8	no	—
96	C₂²⋊Q₈×C₃₇	—	2	2	no	—
97	C₂²⋊Q₈×C₃₇	—	2	2	no	—
98	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
99	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	complemented
100	#121×C₃₇	—	2	4	no	—
101	#121×C₃₇	—	2	4	no	—
102	#121×C₃₇	—	2	8	no	—
103	#121×C₃₇	—	2	8	no	—
104	#121×C₃₇	—	2	2	no	—
105	#121×C₃₇	—	2	2	no	—
106	#121×C₃₇	C₂³	1	8	yes	—
107	#121×C₃₇	C₂³	1	8	yes	—
108	#121×C₃₇	C₂³	1	4	yes	—
109	#121×C₃₇	C₂³	1	4	yes	complemented
110	#120×C₃₇	—	2	8	no	—
111	C₄×D₄×C₃₇	—	2	8	no	—
112	C₄×D₄×C₃₇	—	2	8	no	—
113	#117×C₃₇	—	2	2	no	—
114	#117×C₃₇	C₂³	1	4	yes	complemented
115	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
116	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
117	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
118	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
119	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
120	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
121	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
122	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
123	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
124	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
125	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
127	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
128	C₂×C₂²⋊C₄×C₃₇	—	2	8	no	—
129	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
130	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
131	C₂×C₄²×C₃₇	—	2	1	no	—
132	#107×C₃₇	C₂³	1	8	yes	complemented
133	#106×C₃₇	C₂³	1	8	yes	complemented
134	#103×C₃₇	C₂³	1	8	yes	complemented
135	#102×C₃₇	C₂³	1	8	yes	complemented
136	#102×C₃₇	C₂³	1	8	yes	complemented
137	#102×C₃₇	C₂³	1	8	yes	complemented
138	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
139	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
140	C₂²⋊C₈×C₃₇	C₂³	1	8	yes	complemented
141	C₂⁴×C₃₇	—	2	4	no	—
142	C₂⁴×C₃₇	—	2	4	no	—
143	C₂⁴×C₃₇	—	2	1	no	—
144	C₂⁴×C₃₇	—	2	2	no	—
145	C₂⁴×C₃₇	—	4	2	no	—
146	C₂⁴×C₃₇	—	4	2	no	—
147	C₂⁴×C₃₇	—	4	4	no	—
148	C₂⁴×C₃₇	—	4	4	no	—
149	C₂⁴×C₃₇	—	4	4	no	—
150	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
151	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
152	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
153	C₂⁴×C₃₇	C₂×D₄	1	4	yes	—
154	#41×C₃₇	—	4	8	no	—
155	#41×C₃₇	—	4	8	no	—
156	C₂×Q₈×C₃₇	—	2	1	no	—
157	C₂×Q₈×C₃₇	—	2	4	no	—
158	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
159	C₂×D₄×C₃₇	—	2	4	no	—
160	C₂×D₄×C₃₇	—	2	4	no	—
161	C₂×D₄×C₃₇	—	2	4	no	—
162	C₂×D₄×C₃₇	—	2	8	no	—
163	C₂×D₄×C₃₇	—	2	8	no	—
164	C₂×D₄×C₃₇	—	2	4	no	—
165	C₂×D₄×C₃₇	—	2	2	no	—
166	C₂×D₄×C₃₇	—	2	1	no	—
167	C₂×D₄×C₃₇	—	2	4	no	—
168	C₂×D₄×C₃₇	—	2	4	no	—
169	C₂×D₄×C₃₇	—	2	4	no	—
170	C₂×D₄×C₃₇	—	4	8	no	—
171	C₂×D₄×C₃₇	—	4	4	no	—
172	C₂×D₄×C₃₇	—	4	8	no	—
173	C₂×D₄×C₃₇	—	4	4	no	—
174	C₂×D₄×C₃₇	—	4	8	no	—
175	C₂×D₄×C₃₇	—	4	8	no	—
176	C₂×D₄×C₃₇	—	4	32	no	—
177	C₂×D₄×C₃₇	—	4	4	no	—
178	C₂×D₄×C₃₇	—	4	4	no	—
179	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
180	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
181	C₂²×C₄×C₃₇	—	2	4	no	—
182	C₂²×C₄×C₃₇	—	2	4	no	—
183	C₂²×C₄×C₃₇	—	2	4	no	—
184	C₂²×C₄×C₃₇	—	2	4	no	—
185	C₂²×C₄×C₃₇	—	2	1	no	—
186	C₂²×C₄×C₃₇	—	2	1	no	—
187	C₂²×C₄×C₃₇	—	2	1	no	—
188	C₂²×C₄×C₃₇	—	2	2	no	—
189	C₂²×C₄×C₃₇	—	2	4	no	—
190	C₂²×C₄×C₃₇	—	4	8	no	—
191	C₂²×C₄×C₃₇	—	4	8	no	—
192	C₂²×C₄×C₃₇	—	4	2	no	—
193	C₂²×C₄×C₃₇	—	4	2	no	—
194	C₂²×C₄×C₃₇	—	4	2	no	—
195	C₂²×C₄×C₃₇	—	4	4	no	—
196	C₂²×C₄×C₃₇	—	4	4	no	—
197	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
198	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₃₇	C₂×D₄	1	4	yes	—
204	C₂²×C₄×C₃₇	C₂×D₄	1	4	yes	—
205	C₂²×C₄×C₃₇	C₂×D₄	1	4	yes	—
206	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
210	SD₁₆×C₃₇	—	4	8	no	—
211	D₈×C₃₇	—	4	8	no	—
212	M₁₆×C₃₇	—	4	8	no	—
213	C₂×C₈×C₃₇	—	2	4	no	—
214	C₂×C₈×C₃₇	—	2	4	no	—
215	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
216	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
217	C₄⋊C₄×C₃₇	—	2	4	no	—
218	C₄⋊C₄×C₃₇	—	2	2	no	—
219	C₄⋊C₄×C₃₇	—	2	4	no	—
220	C₄⋊C₄×C₃₇	—	2	4	no	—
221	C₄⋊C₄×C₃₇	—	2	1	no	—
222	C₄⋊C₄×C₃₇	—	2	1	no	—
223	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
224	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
225	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
226	C₂²⋊C₄×C₃₇	—	2	4	no	—
227	C₂²⋊C₄×C₃₇	—	2	4	no	—
228	C₂²⋊C₄×C₃₇	—	2	4	no	—
229	C₂²⋊C₄×C₃₇	—	2	8	no	—
230	C₂²⋊C₄×C₃₇	—	2	8	no	—
231	C₂²⋊C₄×C₃₇	—	2	4	no	—
232	C₂²⋊C₄×C₃₇	—	2	4	no	—
233	C₄²×C₃₇	—	2	4	no	—
234	C₂³×C₃₇	—	2	2	no	—
235	C₂³×C₃₇	—	2	2	no	—
236	C₂³×C₃₇	—	2	2	no	—
237	C₂³×C₃₇	—	2	2	no	—
238	C₂³×C₃₇	—	2	8	no	—
239	C₂³×C₃₇	—	2	2	no	—
240	C₂³×C₃₇	—	2	2	no	—
241	C₂³×C₃₇	—	2	2	no	—
242	C₂³×C₃₇	—	2	2	no	—
243	C₂³×C₃₇	—	2	2	no	—
244	C₂³×C₃₇	—	2	4	no	—
245	C₂³×C₃₇	—	4	4	no	—
246	C₂³×C₃₇	—	4	4	no	—
247	C₂³×C₃₇	—	4	16	no	—
248	C₂³×C₃₇	—	4	8	no	—
249	C₂³×C₃₇	—	4	8	no	—
250	C₂³×C₃₇	—	4	2	no	—
251	C₂³×C₃₇	—	4	4	no	—
252	C₂³×C₃₇	—	4	8	no	—
253	C₂³×C₃₇	—	4	4	no	—
254	C₂³×C₃₇	—	4	2	no	—
255	C₂³×C₃₇	—	4	2	no	—
256	C₂³×C₃₇	—	4	4	no	—
257	C₂³×C₃₇	—	8	16	no	—
258	C₂³×C₃₇	AGL(1,ℤ/8)	1	4	yes	—
259	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
260	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
261	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
262	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
263	Q₈×C₃₇	—	2	4	no	—
264	Q₈×C₃₇	—	4	2	no	—
265	D₄×C₃₇	—	2	4	no	—
266	D₄×C₃₇	—	2	4	no	—
267	D₄×C₃₇	—	2	4	no	—
268	D₄×C₃₇	—	4	8	no	—
269	D₄×C₃₇	—	4	8	no	—
270	D₄×C₃₇	—	4	16	no	—
271	D₄×C₃₇	—	4	16	no	—
272	D₄×C₃₇	—	4	8	no	—
273	D₄×C₃₇	—	4	8	no	—
274	D₄×C₃₇	—	4	4	no	—
275	D₄×C₃₇	—	4	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	2	no	—
286	C₂×C₄×C₃₇	—	2	2	no	—
287	C₂×C₄×C₃₇	—	2	2	no	—
288	C₂×C₄×C₃₇	—	2	4	no	—
289	C₂×C₄×C₃₇	—	4	4	no	—
290	C₂×C₄×C₃₇	—	4	4	no	—
291	C₂×C₄×C₃₇	—	4	4	no	—
292	C₂×C₄×C₃₇	—	4	8	no	—
293	C₂×C₄×C₃₇	—	4	2	no	—
294	C₂×C₄×C₃₇	—	4	8	no	—
295	C₂×C₄×C₃₇	—	4	4	no	—
296	C₂×C₄×C₃₇	—	4	2	no	—
297	C₂×C₄×C₃₇	—	4	2	no	—
298	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
299	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
300	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
301	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
302	C₂×C₄×C₃₇	H(5,𝔽₂)	1	4	yes	—
303	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
304	C₈×C₃₇	—	2	4	no	—
305	C₈×C₃₇	—	2	4	no	—
306	C₂×#3194	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
307	C₂²×C₃₇	—	2	2	no	—
308	C₂²×C₃₇	—	2	8	no	—
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	2	no	—
314	C₂²×C₃₇	—	2	2	no	—
315	C₂²×C₃₇	—	2	2	no	—
316	C₂²×C₃₇	—	4	16	no	—
317	C₂²×C₃₇	—	4	4	no	—
318	C₂²×C₃₇	—	4	4	no	—
319	C₂²×C₃₇	—	4	2	no	—
320	C₂²×C₃₇	—	4	4	no	—
321	C₂²×C₃₇	—	4	4	no	—
322	C₂²×C₃₇	—	4	2	no	—
323	C₂²×C₃₇	—	4	2	no	—
324	C₂²×C₃₇	—	4	4	no	—
325	C₂²×C₃₇	—	8	16	no	—
326	C₂²×C₃₇	—	8	4	no	—
327	C₂²×C₃₇	—	8	8	no	—
328	C₂²×C₃₇	#534	1	2	yes	—
329	C₂²×C₃₇	C₂×AGL(1,ℤ/8)	1	4	yes	—
330	C₂²×C₃₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
331	C₂²×C₃₇	#575	1	2	yes	—
332	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
333	C₄×C₃₇	—	2	2	no	—
334	C₄×C₃₇	—	2	2	no	—
335	C₄×C₃₇	—	2	2	no	—
336	C₄×C₃₇	—	4	2	no	—
337	C₄×C₃₇	—	4	4	no	—
338	C₄×C₃₇	—	4	2	no	—
339	C₄×C₃₇	—	4	2	no	—
340	C₄×C₃₇	#534	1	2	yes	—
341	C₄×C₃₇	C₂×H(5,𝔽₂)	1	2	yes	—
342	C₂×#525	C₂×C₃₇	1	1	yes	characteristic, complemented
343	C₂²×#121	C₂×C₃₇	1	1	yes	characteristic, complemented
344	#3194	C₂×C₃₇	1	16	yes	direct product factor
345	C₂×#482	C₂×C₃₇	1	2	yes	complemented
346	C₂×#483	C₂×C₃₇	1	1	yes	characteristic, complemented
347	C₂×#480	C₂×C₃₇	1	1	yes	characteristic, complemented
348	C₂×#469	C₂×C₃₇	1	2	yes	complemented
349	C₂×#468	C₂×C₃₇	1	2	yes	complemented
350	C₂×#449	C₂×C₃₇	1	2	yes	complemented
351	C₂×#450	C₂×C₃₇	1	1	yes	characteristic, complemented
352	C₂×#447	C₂×C₃₇	1	1	yes	characteristic, complemented
353	C₂×#407	C₂×C₃₇	1	1	yes	characteristic, complemented
354	C₂×C₃₇	—	2	4	no	—
355	C₂×C₃₇	—	4	2	no	—
356	C₂×C₃₇	—	4	2	no	—
357	C₂×C₃₇	—	8	2	no	—
358	C₂×C₃₇	—	8	4	no	—
359	C₂×C₃₇	#3194	1	4	yes	direct product factor
360	C₂×C₃₇	C₂×#534	1	1	yes	characteristic
361	C₂×C₃₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
362	C₂×C₃₇	C₂×#575	1	1	yes	characteristic
363	C₂²×#41	C₂²×C₃₇	1	1	yes	characteristic, complemented
364	C₂³×D₄	—	2	1	no	—
365	C₂³×D₄	C₂²×C₃₇	1	1	yes	characteristic
366	C₂⁴×C₄	C₂²×C₃₇	1	1	yes	characteristic
367	C₂²×SD₁₆	C₂²×C₃₇	1	2	yes	complemented
368	C₂²×D₈	C₂²×C₃₇	1	2	yes	complemented
369	C₂²×M₁₆	C₂²×C₃₇	1	2	yes	complemented
370	#525	—	2	4	no	—
371	#525	C₂²×C₃₇	1	8	yes	complemented
372	C₂×#123	—	2	1	no	—
373	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
374	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
375	C₂×#121	—	2	1	no	—
376	C₂×#121	—	2	1	no	—
377	C₂×#121	—	2	4	no	—
378	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
379	C₂×#121	C₂²×C₃₇	1	2	yes	—
380	C₂×#121	C₂²×C₃₇	1	2	yes	—
381	C₂×#121	C₂²×C₃₇	1	8	yes	complemented
382	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic, complemented
383	C₂×#120	—	2	1	no	—
384	C₂×C₄×D₄	—	2	1	no	—
385	C₂×C₄×D₄	—	2	1	no	—
386	C₂×#117	C₂²×C₃₇	1	1	yes	characteristic, complemented
387	C₂²×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
388	C₂²×C₂²⋊C₄	—	2	1	no	—
389	#483	C₂²×C₃₇	1	8	yes	complemented
390	#482	C₂²×C₃₇	1	16	yes	complemented
391	#480	C₂²×C₃₇	1	8	yes	complemented
392	#469	C₂²×C₃₇	1	16	yes	complemented
393	#468	C₂²×C₃₇	1	16	yes	complemented
394	#450	C₂²×C₃₇	1	8	yes	complemented
395	#449	C₂²×C₃₇	1	16	yes	complemented
396	#447	C₂²×C₃₇	1	8	yes	complemented
397	C₂×#107	C₂²×C₃₇	1	2	yes	complemented
398	C₂×#106	C₂²×C₃₇	1	2	yes	complemented
399	C₂×#103	C₂²×C₃₇	1	2	yes	complemented
400	C₂×#102	C₂²×C₃₇	1	2	yes	complemented
401	C₂×#102	C₂²×C₃₇	1	2	yes	complemented
402	C₂×#102	C₂²×C₃₇	1	2	yes	complemented
403	#407	C₂²×C₃₇	1	8	yes	complemented
404	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
405	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
406	C₂×C₂²⋊C₈	C₂²×C₃₇	1	2	yes	complemented
407	C₃₇	C₂×#3194	1	1	yes	characteristic, direct product factor, Sylow
408	C₂⁵	—	2	1	no	—
409	C₂⁵	D₄×C₃₇	1	1	yes	characteristic
410	C₂×#41	—	2	2	no	—
411	C₂×#41	—	4	4	no	—
412	C₂×#41	C₂³×C₃₇	1	4	yes	complemented
413	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
414	C₂²×D₄	—	2	1	no	—
415	C₂²×D₄	—	2	1	no	—
416	C₂²×D₄	—	2	1	no	—
417	C₂²×D₄	—	2	2	no	—
418	C₂²×D₄	—	2	2	no	—
419	C₂²×D₄	—	2	8	no	—
420	C₂²×D₄	—	2	1	no	—
421	C₂²×D₄	—	2	2	no	—
422	C₂²×D₄	—	4	4	no	—
423	C₂²×D₄	—	4	8	no	—
424	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
425	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
426	C₂²×D₄	C₂³×C₃₇	1	4	yes	—
427	C₂³×C₄	—	2	1	no	—
428	C₂³×C₄	—	2	1	no	—
429	C₂³×C₄	—	4	4	no	—
430	C₂³×C₄	D₄×C₃₇	1	1	yes	characteristic
431	C₂³×C₄	D₄×C₃₇	1	1	yes	characteristic
432	C₂³×C₄	D₄×C₃₇	1	1	yes	characteristic
433	C₂³×C₄	D₄×C₃₇	1	4	yes	—
434	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
435	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
436	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
437	C₂³×C₄	C₂³×C₃₇	1	4	yes	—
438	C₂×SD₁₆	—	4	4	no	—
439	C₂×SD₁₆	C₂³×C₃₇	1	8	yes	complemented
440	C₂×D₈	—	4	4	no	—
441	C₂×D₈	C₂³×C₃₇	1	8	yes	complemented
442	C₂×M₁₆	—	4	4	no	—
443	C₂×M₁₆	C₂³×C₃₇	1	8	yes	complemented
444	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
445	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
446	#123	—	2	8	no	—
447	C₂²⋊Q₈	—	2	2	no	—
448	C₂²⋊Q₈	—	2	2	no	—
449	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
450	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	complemented
451	#121	—	2	4	no	—
452	#121	—	2	4	no	—
453	#121	—	2	8	no	—
454	#121	—	2	8	no	—
455	#121	—	2	2	no	—
456	#121	—	2	2	no	—
457	#121	C₂³×C₃₇	1	8	yes	—
458	#121	C₂³×C₃₇	1	8	yes	—
459	#121	C₂³×C₃₇	1	4	yes	—
460	#121	C₂³×C₃₇	1	4	yes	complemented
461	#120	—	2	8	no	—
462	C₄×D₄	—	2	8	no	—
463	C₄×D₄	—	2	8	no	—
464	#117	—	2	2	no	—
465	#117	C₂³×C₃₇	1	4	yes	complemented
466	C₂×C₄⋊C₄	—	2	1	no	—
467	C₂×C₄⋊C₄	—	2	2	no	—
468	C₂×C₄⋊C₄	—	2	1	no	—
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
471	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
472	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
473	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
474	C₂×C₂²⋊C₄	—	2	1	no	—
475	C₂×C₂²⋊C₄	—	2	1	no	—
476	C₂×C₂²⋊C₄	—	2	1	no	—
477	C₂×C₂²⋊C₄	—	2	2	no	—
478	C₂×C₂²⋊C₄	—	2	2	no	—
479	C₂×C₂²⋊C₄	—	2	8	no	—
480	C₂×C₂²⋊C₄	—	2	1	no	—
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₄²	—	2	1	no	—
483	#107	C₂³×C₃₇	1	8	yes	complemented
484	#106	C₂³×C₃₇	1	8	yes	complemented
485	#103	C₂³×C₃₇	1	8	yes	complemented
486	#102	C₂³×C₃₇	1	8	yes	complemented
487	#102	C₂³×C₃₇	1	8	yes	complemented
488	#102	C₂³×C₃₇	1	8	yes	complemented
489	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
490	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
491	C₂²⋊C₈	C₂³×C₃₇	1	8	yes	complemented
492	C₂⁴	—	2	4	no	—
493	C₂⁴	—	2	1	no	—
494	C₂⁴	—	2	4	no	—
495	C₂⁴	—	2	2	no	—
496	C₂⁴	—	4	2	no	—
497	C₂⁴	—	4	2	no	—
498	C₂⁴	—	4	4	no	—
499	C₂⁴	—	4	4	no	—
500	C₂⁴	—	4	4	no	—
501	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
502	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
503	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
504	C₂⁴	C₂×D₄×C₃₇	1	4	yes	—
505	#41	—	4	8	no	—
506	#41	—	4	8	no	—
507	C₂×Q₈	—	2	1	no	—
508	C₂×Q₈	—	2	4	no	—
509	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	2	8	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	2	no	—
517	C₂×D₄	—	2	1	no	—
518	C₂×D₄	—	2	4	no	—
519	C₂×D₄	—	2	4	no	—
520	C₂×D₄	—	2	4	no	—
521	C₂×D₄	—	4	8	no	—
522	C₂×D₄	—	4	4	no	—
523	C₂×D₄	—	4	8	no	—
524	C₂×D₄	—	4	4	no	—
525	C₂×D₄	—	4	8	no	—
526	C₂×D₄	—	4	8	no	—
527	C₂×D₄	—	4	32	no	—
528	C₂×D₄	—	4	4	no	—
529	C₂×D₄	—	4	4	no	—
530	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
531	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
532	C₂²×C₄	—	2	4	no	—
533	C₂²×C₄	—	2	4	no	—
534	C₂²×C₄	—	2	4	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	4	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	4	no	—
541	C₂²×C₄	—	4	8	no	—
542	C₂²×C₄	—	4	8	no	—
543	C₂²×C₄	—	4	2	no	—
544	C₂²×C₄	—	4	2	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	4	4	no	—
547	C₂²×C₄	—	4	4	no	—
548	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
549	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
550	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
552	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
553	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
554	C₂²×C₄	C₂×D₄×C₃₇	1	4	yes	—
555	C₂²×C₄	C₂×D₄×C₃₇	1	4	yes	—
556	C₂²×C₄	C₂×D₄×C₃₇	1	4	yes	—
557	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
559	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
560	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
561	SD₁₆	—	4	8	no	—
562	D₈	—	4	8	no	—
563	M₁₆	—	4	8	no	—
564	C₂×C₈	—	2	4	no	—
565	C₂×C₈	—	2	4	no	—
566	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
567	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	2	no	—
570	C₄⋊C₄	—	2	4	no	—
571	C₄⋊C₄	—	2	4	no	—
572	C₄⋊C₄	—	2	1	no	—
573	C₄⋊C₄	—	2	1	no	—
574	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
575	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
576	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	2	4	no	—
579	C₂²⋊C₄	—	2	4	no	—
580	C₂²⋊C₄	—	2	8	no	—
581	C₂²⋊C₄	—	2	8	no	—
582	C₂²⋊C₄	—	2	4	no	—
583	C₂²⋊C₄	—	2	4	no	—
584	C₄²	—	2	4	no	—
585	C₂³	—	2	2	no	—
586	C₂³	—	2	2	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	8	no	—
590	C₂³	—	2	2	no	—
591	C₂³	—	2	2	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	4	4	no	—
597	C₂³	—	4	4	no	—
598	C₂³	—	4	16	no	—
599	C₂³	—	4	8	no	—
600	C₂³	—	4	8	no	—
601	C₂³	—	4	2	no	—
602	C₂³	—	4	4	no	—
603	C₂³	—	4	8	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	4	2	no	—
607	C₂³	—	4	4	no	—
608	C₂³	—	8	16	no	—
609	C₂³	AGL(1,ℤ/8)×C₃₇	1	4	yes	—
610	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
611	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
612	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
613	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
614	Q₈	—	2	4	no	—
615	Q₈	—	4	2	no	—
616	D₄	—	2	4	no	—
617	D₄	—	2	4	no	—
618	D₄	—	2	4	no	—
619	D₄	—	4	8	no	—
620	D₄	—	4	16	no	—
621	D₄	—	4	16	no	—
622	D₄	—	4	8	no	—
623	D₄	—	4	8	no	—
624	D₄	—	4	8	no	—
625	D₄	—	4	4	no	—
626	D₄	—	4	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	4	no	—
640	C₂×C₄	—	4	4	no	—
641	C₂×C₄	—	4	4	no	—
642	C₂×C₄	—	4	4	no	—
643	C₂×C₄	—	4	8	no	—
644	C₂×C₄	—	4	2	no	—
645	C₂×C₄	—	4	8	no	—
646	C₂×C₄	—	4	4	no	—
647	C₂×C₄	—	4	2	no	—
648	C₂×C₄	—	4	2	no	—
649	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
650	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
651	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
652	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
653	C₂×C₄	H(5,𝔽₂)×C₃₇	1	4	yes	—
654	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
655	C₈	—	2	4	no	—
656	C₈	—	2	4	no	—
657	C₂²	—	2	2	no	—
658	C₂²	—	2	8	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	2	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	4	16	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	4	4	no	—
669	C₂²	—	4	2	no	—
670	C₂²	—	4	4	no	—
671	C₂²	—	4	4	no	—
672	C₂²	—	4	2	no	—
673	C₂²	—	4	2	no	—
674	C₂²	—	4	4	no	—
675	C₂²	—	8	16	no	—
676	C₂²	—	8	8	no	—
677	C₂²	—	8	4	no	—
678	C₂²	C₃₇×#534	1	2	yes	—
679	C₂²	C₂×AGL(1,ℤ/8)×C₃₇	1	4	yes	—
680	C₂²	C₂×AGL(1,ℤ/8)×C₃₇	1	2	yes	—
681	C₂²	C₃₇×#575	1	2	yes	—
682	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
683	C₄	—	2	2	no	—
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	4	no	—
688	C₄	—	4	2	no	—
689	C₄	—	4	2	no	—
690	C₄	C₃₇×#534	1	2	yes	—
691	C₄	C₂×H(5,𝔽₂)×C₃₇	1	2	yes	—
692	C₂	—	2	4	no	—
693	C₂	—	4	2	no	—
694	C₂	—	4	2	no	—
695	C₂	—	8	4	no	—
696	C₂	—	8	2	no	—
697	C₂	C₃₇×#3194	1	4	yes	direct product factor
698	C₂	C₂×C₃₇×#534	1	1	yes	characteristic
699	C₂	C₂²×AGL(1,ℤ/8)×C₃₇	1	1	yes	characteristic
700	C₂	C₂×C₃₇×#575	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₂⁴×C₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#525	C₂	semidirect
2. C₂²×#121×C₃₇	C₂	semidirect
3. C₃₇×#3194	C₂	direct (N × H)
4. C₂×C₃₇×#482	C₂	semidirect
5. C₂×C₃₇×#483	C₂	semidirect
6. C₂×C₃₇×#480	C₂	semidirect
7. C₂×C₃₇×#469	C₂	semidirect
8. C₂×C₃₇×#468	C₂	semidirect
9. C₂×C₃₇×#449	C₂	semidirect
10. C₂×C₃₇×#450	C₂	semidirect
11. C₂×C₃₇×#447	C₂	semidirect
12. C₂×C₃₇×#407	C₂	semidirect
13. C₂²×#41×C₃₇	C₂²	semidirect
17. C₂²×SD₁₆×C₃₇	C₂²	semidirect
18. C₂²×D₈×C₃₇	C₂²	semidirect
19. C₂²×M₁₆×C₃₇	C₂²	semidirect
21. C₃₇×#525	C₂²	semidirect
24. C₂×C₂²⋊Q₈×C₃₇	C₂²	semidirect
31. C₂×#121×C₃₇	C₂²	semidirect
32. C₂×#121×C₃₇	C₂²	semidirect
36. C₂×#117×C₃₇	C₂²	semidirect
39. C₃₇×#483	C₂²	semidirect
40. C₃₇×#482	C₂²	semidirect
41. C₃₇×#480	C₂²	semidirect
42. C₃₇×#469	C₂²	semidirect
43. C₃₇×#468	C₂²	semidirect
44. C₃₇×#450	C₂²	semidirect
45. C₃₇×#449	C₂²	semidirect
46. C₃₇×#447	C₂²	semidirect
47. C₂×#107×C₃₇	C₂²	semidirect
48. C₂×#106×C₃₇	C₂²	semidirect
49. C₂×#103×C₃₇	C₂²	semidirect
50. C₂×#102×C₃₇	C₂²	semidirect
51. C₂×#102×C₃₇	C₂²	semidirect
52. C₂×#102×C₃₇	C₂²	semidirect
53. C₃₇×#407	C₂²	semidirect
56. C₂×C₂²⋊C₈×C₃₇	C₂²	semidirect
61. C₂×#41×C₃₇	C₂³	semidirect
88. C₂×SD₁₆×C₃₇	C₂³	semidirect
90. C₂×D₈×C₃₇	C₂³	semidirect
92. C₂×M₁₆×C₃₇	C₂³	semidirect
99. C₂²⋊Q₈×C₃₇	C₂³	semidirect
109. #121×C₃₇	C₂³	semidirect
114. #117×C₃₇	C₂³	semidirect
132. #107×C₃₇	C₂³	semidirect
133. #106×C₃₇	C₂³	semidirect
134. #103×C₃₇	C₂³	semidirect
135. #102×C₃₇	C₂³	semidirect
136. #102×C₃₇	C₂³	semidirect
137. #102×C₃₇	C₂³	semidirect
140. C₂²⋊C₈×C₃₇	C₂³	semidirect
306. C₂×#3194	C₃₇	direct (N × H)
342. C₂×#525	C₂×C₃₇	semidirect
343. C₂²×#121	C₂×C₃₇	semidirect
344. #3194	C₂×C₃₇	direct (N × H)
345. C₂×#482	C₂×C₃₇	semidirect
346. C₂×#483	C₂×C₃₇	semidirect
347. C₂×#480	C₂×C₃₇	semidirect
348. C₂×#469	C₂×C₃₇	semidirect
349. C₂×#468	C₂×C₃₇	semidirect
350. C₂×#449	C₂×C₃₇	semidirect
351. C₂×#450	C₂×C₃₇	semidirect
352. C₂×#447	C₂×C₃₇	semidirect
353. C₂×#407	C₂×C₃₇	semidirect
359. C₂×C₃₇	#3194	direct (N × H)
363. C₂²×#41	C₂²×C₃₇	semidirect
367. C₂²×SD₁₆	C₂²×C₃₇	semidirect
368. C₂²×D₈	C₂²×C₃₇	semidirect
369. C₂²×M₁₆	C₂²×C₃₇	semidirect
371. #525	C₂²×C₃₇	semidirect
374. C₂×C₂²⋊Q₈	C₂²×C₃₇	semidirect
381. C₂×#121	C₂²×C₃₇	semidirect
382. C₂×#121	C₂²×C₃₇	semidirect
386. C₂×#117	C₂²×C₃₇	semidirect
389. #483	C₂²×C₃₇	semidirect
390. #482	C₂²×C₃₇	semidirect
391. #480	C₂²×C₃₇	semidirect
392. #469	C₂²×C₃₇	semidirect
393. #468	C₂²×C₃₇	semidirect
394. #450	C₂²×C₃₇	semidirect
395. #449	C₂²×C₃₇	semidirect
396. #447	C₂²×C₃₇	semidirect
397. C₂×#107	C₂²×C₃₇	semidirect
398. C₂×#106	C₂²×C₃₇	semidirect
399. C₂×#103	C₂²×C₃₇	semidirect
400. C₂×#102	C₂²×C₃₇	semidirect
401. C₂×#102	C₂²×C₃₇	semidirect
402. C₂×#102	C₂²×C₃₇	semidirect
403. #407	C₂²×C₃₇	semidirect
406. C₂×C₂²⋊C₈	C₂²×C₃₇	semidirect
407. C₃₇	C₂×#3194	direct (N × H)
412. C₂×#41	C₂³×C₃₇	semidirect
439. C₂×SD₁₆	C₂³×C₃₇	semidirect
441. C₂×D₈	C₂³×C₃₇	semidirect
443. C₂×M₁₆	C₂³×C₃₇	semidirect
450. C₂²⋊Q₈	C₂³×C₃₇	semidirect
460. #121	C₂³×C₃₇	semidirect
465. #117	C₂³×C₃₇	semidirect
483. #107	C₂³×C₃₇	semidirect
484. #106	C₂³×C₃₇	semidirect
485. #103	C₂³×C₃₇	semidirect
486. #102	C₂³×C₃₇	semidirect
487. #102	C₂³×C₃₇	semidirect
488. #102	C₂³×C₃₇	semidirect
491. C₂²⋊C₈	C₂³×C₃₇	semidirect
697. C₂	C₃₇×#3194	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×#525	2
C₂²×#121×C₃₇	2
C₃₇×#3194	2
C₂×C₃₇×#482	2
C₂×C₃₇×#483	2
C₂×C₃₇×#480	2
C₂×C₃₇×#469	2
C₂×C₃₇×#468	2
C₂×C₃₇×#449	2
C₂×C₃₇×#450	2
C₂×C₃₇×#447	2
C₂×C₃₇×#407	2
C₂×#3194	37

Subgroups — C2×C37×#3194 #22681990

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃₇×#3194 #22681990