Subgroups — C₃₇×#61243 #22682496

Order 9472.

1848 conjugacy classes of subgroups.

The subgroup lattice has 978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3475	C₂	1	2	yes	maximal, complemented
2	C₃₇×#3350	C₂	1	2	yes	maximal, complemented
3	C₃₇×#3349	C₂	1	2	yes	maximal, complemented
4	C₃₇×#3348	C₂	1	2	yes	maximal, complemented
5	C₃₇×#3347	C₂	1	2	yes	maximal, complemented
6	C₃₇×#3346	C₂	1	2	yes	maximal, complemented
7	C₃₇×#3345	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3344	C₂	1	2	yes	maximal, complemented
9	C₃₇×#3343	C₂	1	2	yes	maximal, complemented
10	C₃₇×#3162	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#3091	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3091	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3076	C₂	1	2	yes	maximal, complemented
14	C₃₇×#3054	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#3050	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃₇×#435	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₇×#2911	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃₇×#427	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#135×C₃₇	C₂²	1	1	yes	characteristic
21	C₂²×M₁₆×C₃₇	C₂²	1	1	yes	characteristic
22	C₂³×C₈×C₃₇	C₂²	1	1	yes	characteristic
23	C₃₇×#556	C₂²	1	2	yes	—
24	C₃₇×#555	C₂²	1	2	yes	—
25	C₃₇×#554	C₂²	1	2	yes	—
26	C₃₇×#553	C₂²	1	2	yes	—
27	C₃₇×#553	C₂²	1	2	yes	—
28	C₃₇×#552	—	2	2	no	—
29	C₃₇×#552	C₂²	1	2	yes	—
30	C₃₇×#552	C₂²	1	2	yes	—
31	C₃₇×#551	—	2	2	no	—
32	C₃₇×#551	—	2	2	no	—
33	C₃₇×#547	C₂²	1	2	yes	—
34	C₃₇×#546	—	2	2	no	—
35	C₃₇×#533	C₂²	1	2	yes	—
36	C₃₇×#529	—	2	2	no	—
37	C₃₇×#529	—	2	2	no	—
38	C₃₇×#529	—	2	2	no	—
39	C₃₇×#525	C₂²	1	2	yes	—
40	C₃₇×#525	C₂²	1	2	yes	—
41	C₄×#41×C₃₇	—	2	2	no	—
42	C₄×#41×C₃₇	C₂²	1	2	yes	—
43	C₂×C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
44	C₂×#117×C₃₇	C₂²	1	2	yes	—
45	C₂×#117×C₃₇	C₂²	1	2	yes	—
46	C₃₇×#501	C₂²	1	2	yes	complemented
47	C₃₇×#501	C₂²	1	2	yes	complemented
48	C₃₇×#501	C₂²	1	2	yes	complemented
49	C₃₇×#501	C₂²	1	2	yes	complemented
50	C₃₇×#485	C₂²	1	2	yes	complemented
51	C₃₇×#485	C₂²	1	2	yes	complemented
52	C₃₇×#485	C₂²	1	2	yes	complemented
53	C₃₇×#485	C₂²	1	2	yes	complemented
54	C₃₇×#484	C₂²	1	2	yes	complemented
55	C₃₇×#484	C₂²	1	2	yes	complemented
56	C₃₇×#483	C₂²	1	2	yes	complemented
57	C₃₇×#483	C₂²	1	2	yes	complemented
58	C₃₇×#482	C₂²	1	2	yes	complemented
59	C₃₇×#482	C₂²	1	2	yes	complemented
60	C₃₇×#482	C₂²	1	2	yes	complemented
61	C₃₇×#482	C₂²	1	2	yes	complemented
62	C₃₇×#481	C₂²	1	2	yes	complemented
63	C₃₇×#481	C₂²	1	2	yes	complemented
64	C₃₇×#480	C₂²	1	2	yes	complemented
65	C₃₇×#480	C₂²	1	2	yes	complemented
66	C₃₇×#479	C₂²	1	2	yes	complemented
67	C₃₇×#479	C₂²	1	2	yes	complemented
68	C₃₇×#478	C₂²	1	2	yes	complemented
69	C₃₇×#478	C₂²	1	2	yes	complemented
70	C₃₇×#477	C₂²	1	2	yes	complemented
71	C₃₇×#476	C₂²	1	2	yes	complemented
72	C₃₇×#475	C₂²	1	2	yes	complemented
73	C₃₇×#474	C₂²	1	2	yes	complemented
74	C₃₇×#470	C₂²	1	2	yes	complemented
75	C₃₇×#469	C₂²	1	2	yes	complemented
76	C₃₇×#468	C₂²	1	2	yes	complemented
77	C₃₇×#468	C₂²	1	2	yes	complemented
78	C₃₇×#467	C₂²	1	1	yes	characteristic, complemented
79	C₃₇×#467	C₂²	1	1	yes	characteristic, complemented
80	C₃₇×#466	C₂²	1	1	yes	characteristic, complemented
81	C₃₇×#466	C₂²	1	1	yes	characteristic, complemented
82	C₃₇×#465	C₂²	1	2	yes	complemented
83	C₃₇×#465	C₂²	1	2	yes	complemented
84	C₃₇×#442	C₂²	1	2	yes	complemented
85	C₃₇×#441	C₂²	1	2	yes	complemented
86	C₃₇×#440	C₂²	1	2	yes	complemented
87	C₃₇×#440	C₂²	1	2	yes	complemented
88	C₃₇×#435	C₂²	1	2	yes	—
89	C₃₇×#435	C₂²	1	2	yes	—
90	C₃₇×#435	C₂²	1	2	yes	—
91	C₃₇×#435	C₂²	1	2	yes	—
92	C₃₇×#428	C₂²	1	2	yes	complemented
93	C₃₇×#428	C₂²	1	2	yes	complemented
94	C₃₇×#428	C₂²	1	2	yes	complemented
95	C₃₇×#428	C₂²	1	2	yes	complemented
96	C₃₇×#427	C₂²	1	1	yes	characteristic
97	C₃₇×#427	C₂²	1	1	yes	characteristic
98	C₃₇×#427	C₂²	1	2	yes	—
99	C₃₇×#427	C₂²	1	1	yes	characteristic
100	C₃₇×#427	C₂²	1	2	yes	—
101	C₃₇×#427	C₂²	1	2	yes	—
102	C₃₇×#427	C₂²	1	2	yes	complemented
103	C₃₇×#427	C₂²	1	1	yes	characteristic, complemented
104	C₃₇×#427	C₂²	1	1	yes	characteristic, complemented
105	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
106	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
107	C₂×#106×C₃₇	C₂²	1	2	yes	complemented
108	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
109	C₃₇×#416	C₂²	1	2	yes	—
110	C₃₇×#416	C₂²	1	2	yes	—
111	C₃₇×#416	C₂²	1	2	yes	—
112	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
113	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
114	C₂×#97×C₃₇	C₂²	1	1	yes	characteristic
115	C₂×#41×C₃₇	—	2	2	no	—
116	C₂×#41×C₃₇	C₂³	1	2	yes	—
117	C₂²×D₄×C₃₇	D₄	1	1	yes	characteristic
118	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
120	#135×C₃₇	—	2	4	no	—
121	C₂×Q₁₆×C₃₇	C₂³	1	1	yes	characteristic
122	C₂×SD₁₆×C₃₇	C₂³	1	2	yes	—
123	C₂×D₈×C₃₇	C₂³	1	1	yes	characteristic
124	C₂×M₁₆×C₃₇	—	2	4	no	—
125	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
126	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
127	C₂²×C₈×C₃₇	—	2	4	no	—
128	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
129	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
130	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
131	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
132	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
133	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
134	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
135	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
136	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
137	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
138	#126×C₃₇	—	2	2	no	—
139	#126×C₃₇	—	2	2	no	—
140	#126×C₃₇	—	2	2	no	—
141	#126×C₃₇	—	2	2	no	—
142	#126×C₃₇	—	2	2	no	—
143	#126×C₃₇	—	2	2	no	—
144	#125×C₃₇	—	2	2	no	—
145	#125×C₃₇	—	2	2	no	—
146	#125×C₃₇	—	2	2	no	—
147	#125×C₃₇	C₂³	1	2	yes	—
148	#125×C₃₇	C₂³	1	2	yes	—
149	#124×C₃₇	—	2	2	no	—
150	#124×C₃₇	—	2	2	no	—
151	#124×C₃₇	—	2	2	no	—
152	#123×C₃₇	—	2	2	no	—
153	#123×C₃₇	—	2	2	no	—
154	#123×C₃₇	—	2	2	no	—
155	#123×C₃₇	—	2	2	no	—
156	#123×C₃₇	—	2	2	no	—
157	#123×C₃₇	—	2	2	no	—
158	#123×C₃₇	—	2	2	no	—
159	#123×C₃₇	—	2	2	no	—
160	C₂²⋊Q₈×C₃₇	—	2	2	no	—
161	C₂²⋊Q₈×C₃₇	—	2	2	no	—
162	C₂²⋊Q₈×C₃₇	—	2	2	no	—
163	C₂²⋊Q₈×C₃₇	—	2	2	no	—
164	C₂²⋊Q₈×C₃₇	—	2	2	no	—
165	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
166	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
167	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
168	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
169	#121×C₃₇	—	2	2	no	—
170	#121×C₃₇	—	2	2	no	—
171	#121×C₃₇	—	2	2	no	—
172	#121×C₃₇	C₂³	1	2	yes	—
173	#121×C₃₇	C₂³	1	2	yes	—
174	#121×C₃₇	C₂³	1	2	yes	—
175	#121×C₃₇	C₂³	1	2	yes	—
176	#120×C₃₇	—	2	2	no	—
177	#120×C₃₇	—	2	2	no	—
178	C₄×Q₈×C₃₇	—	2	2	no	—
179	C₄×Q₈×C₃₇	—	2	2	no	—
180	C₄×Q₈×C₃₇	—	2	2	no	—
181	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
182	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
183	C₄×D₄×C₃₇	—	2	2	no	—
184	C₄×D₄×C₃₇	—	2	2	no	—
185	C₄×D₄×C₃₇	—	2	2	no	—
186	C₄×D₄×C₃₇	—	2	2	no	—
187	C₄×D₄×C₃₇	—	2	2	no	—
188	C₄×D₄×C₃₇	—	2	2	no	—
189	C₄×D₄×C₃₇	—	2	2	no	—
190	C₄×D₄×C₃₇	—	2	2	no	—
191	C₄×D₄×C₃₇	—	2	2	no	—
192	C₄×D₄×C₃₇	D₄	1	2	yes	—
193	C₄×D₄×C₃₇	D₄	1	2	yes	—
194	C₄×D₄×C₃₇	C₂³	1	2	yes	—
195	C₄×D₄×C₃₇	C₂³	1	2	yes	—
196	C₄×D₄×C₃₇	C₂³	1	2	yes	—
197	C₄×D₄×C₃₇	C₂³	1	2	yes	—
198	#117×C₃₇	—	2	2	no	—
199	#117×C₃₇	—	2	2	no	—
200	#117×C₃₇	—	2	2	no	—
201	#117×C₃₇	—	2	2	no	—
202	#117×C₃₇	—	2	2	no	—
203	#117×C₃₇	—	2	2	no	—
204	#117×C₃₇	—	2	2	no	—
205	#117×C₃₇	—	2	2	no	—
206	#117×C₃₇	C₂³	1	2	yes	—
207	#117×C₃₇	C₂³	1	2	yes	—
208	#117×C₃₇	C₂³	1	2	yes	—
209	#117×C₃₇	C₂³	1	2	yes	—
210	#117×C₃₇	C₂³	1	2	yes	—
211	#117×C₃₇	C₂³	1	2	yes	—
212	#117×C₃₇	C₂³	1	2	yes	—
213	C₂×C₄⋊C₄×C₃₇	D₄	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
215	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
216	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
219	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
220	C₂×C₂²⋊C₄×C₃₇	D₄	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₃₇	D₄	1	1	yes	characteristic
222	C₂×C₄²×C₃₇	—	2	2	no	—
223	C₂×C₄²×C₃₇	—	2	2	no	—
224	C₂×C₄²×C₃₇	—	2	2	no	—
225	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
226	#107×C₃₇	C₂³	1	1	yes	characteristic
227	#107×C₃₇	C₂³	1	1	yes	characteristic
228	#107×C₃₇	C₂³	1	1	yes	characteristic
229	#107×C₃₇	C₂³	1	1	yes	characteristic
230	#107×C₃₇	C₂³	1	2	yes	—
231	#107×C₃₇	C₂³	1	2	yes	—
232	#107×C₃₇	C₂³	1	1	yes	characteristic
233	#107×C₃₇	C₂³	1	1	yes	characteristic
234	#107×C₃₇	C₂³	1	2	yes	—
235	#107×C₃₇	C₂³	1	2	yes	—
236	#107×C₃₇	C₂³	1	2	yes	—
237	#107×C₃₇	C₂³	1	2	yes	—
238	#106×C₃₇	C₂³	1	2	yes	—
239	#106×C₃₇	C₂³	1	2	yes	—
240	#106×C₃₇	C₂³	1	2	yes	—
241	#106×C₃₇	C₂³	1	2	yes	—
242	#106×C₃₇	C₂³	1	2	yes	—
243	#106×C₃₇	C₂³	1	2	yes	—
244	#106×C₃₇	C₂³	1	2	yes	—
245	#106×C₃₇	C₂³	1	2	yes	—
246	#106×C₃₇	C₂³	1	2	yes	—
247	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
248	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
249	#103×C₃₇	C₂³	1	2	yes	—
250	#103×C₃₇	C₂³	1	2	yes	—
251	#103×C₃₇	C₂³	1	2	yes	—
252	#103×C₃₇	C₂³	1	2	yes	—
253	#103×C₃₇	C₂³	1	2	yes	—
254	#103×C₃₇	C₂³	1	2	yes	—
255	#102×C₃₇	C₂³	1	2	yes	—
256	#102×C₃₇	C₂³	1	2	yes	—
257	#102×C₃₇	C₂³	1	2	yes	—
258	#102×C₃₇	C₂³	1	2	yes	—
259	#102×C₃₇	C₂³	1	2	yes	—
260	#102×C₃₇	C₂³	1	2	yes	—
261	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
262	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
263	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
264	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
265	#97×C₃₇	C₂³	1	2	yes	—
266	#97×C₃₇	C₂³	1	2	yes	—
267	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
268	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
269	#41×C₃₇	—	2	4	no	—
270	#41×C₃₇	—	2	4	no	—
271	#41×C₃₇	—	4	8	no	—
272	C₂×Q₈×C₃₇	—	2	2	no	—
273	C₂×Q₈×C₃₇	—	2	2	no	—
274	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
275	C₂×D₄×C₃₇	—	2	2	no	—
276	C₂×D₄×C₃₇	—	2	2	no	—
277	C₂×D₄×C₃₇	—	2	2	no	—
278	C₂×D₄×C₃₇	—	2	2	no	—
279	C₂×D₄×C₃₇	—	2	2	no	—
280	C₂×D₄×C₃₇	—	4	2	no	—
281	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
282	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
283	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₃₇	—	2	2	no	—
285	C₂²×C₄×C₃₇	—	2	2	no	—
286	C₂²×C₄×C₃₇	—	2	2	no	—
287	C₂²×C₄×C₃₇	—	2	2	no	—
288	C₂²×C₄×C₃₇	—	2	2	no	—
289	C₂²×C₄×C₃₇	—	2	2	no	—
290	C₂²×C₄×C₃₇	—	2	2	no	—
291	C₂²×C₄×C₃₇	—	2	2	no	—
292	C₂²×C₄×C₃₇	—	2	2	no	—
293	C₂²×C₄×C₃₇	—	2	2	no	—
294	C₂²×C₄×C₃₇	—	2	2	no	—
295	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
296	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
297	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
298	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
299	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
300	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
301	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
302	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
306	Q₁₆×C₃₇	—	2	2	no	—
307	SD₁₆×C₃₇	—	2	4	no	—
308	D₈×C₃₇	—	2	2	no	—
309	M₁₆×C₃₇	—	2	4	no	—
310	M₁₆×C₃₇	—	2	4	no	—
311	C₂×C₈×C₃₇	—	2	2	no	—
312	C₂×C₈×C₃₇	—	2	2	no	—
313	C₂×C₈×C₃₇	—	2	2	no	—
314	C₂×C₈×C₃₇	—	2	2	no	—
315	C₂×C₈×C₃₇	—	2	2	no	—
316	C₂×C₈×C₃₇	—	2	2	no	—
317	C₂×C₈×C₃₇	—	2	2	no	—
318	C₂×C₈×C₃₇	#41	1	4	yes	complemented
319	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
320	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
321	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
322	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
323	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
324	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
325	C₄⋊C₄×C₃₇	—	2	2	no	—
326	C₄⋊C₄×C₃₇	—	2	2	no	—
327	C₄⋊C₄×C₃₇	—	2	2	no	—
328	C₄⋊C₄×C₃₇	—	2	2	no	—
329	C₄⋊C₄×C₃₇	—	2	2	no	—
330	C₄⋊C₄×C₃₇	—	2	2	no	—
331	C₄⋊C₄×C₃₇	—	2	2	no	—
332	C₄⋊C₄×C₃₇	—	2	2	no	—
333	C₄⋊C₄×C₃₇	—	2	2	no	—
334	C₄⋊C₄×C₃₇	—	2	2	no	—
335	C₄⋊C₄×C₃₇	—	2	2	no	—
336	C₄⋊C₄×C₃₇	—	2	2	no	—
337	C₄⋊C₄×C₃₇	—	2	2	no	—
338	C₄⋊C₄×C₃₇	—	2	2	no	—
339	C₄⋊C₄×C₃₇	—	2	2	no	—
340	C₄⋊C₄×C₃₇	—	2	2	no	—
341	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
342	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
343	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
344	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
345	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
346	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
347	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
348	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
349	C₂²⋊C₄×C₃₇	—	2	2	no	—
350	C₂²⋊C₄×C₃₇	—	2	2	no	—
351	C₂²⋊C₄×C₃₇	—	2	2	no	—
352	C₂²⋊C₄×C₃₇	—	2	2	no	—
353	C₂²⋊C₄×C₃₇	—	2	2	no	—
354	C₂²⋊C₄×C₃₇	—	2	2	no	—
355	C₂²⋊C₄×C₃₇	—	2	2	no	—
356	C₂²⋊C₄×C₃₇	—	2	2	no	—
357	C₂²⋊C₄×C₃₇	—	2	2	no	—
358	C₂²⋊C₄×C₃₇	—	2	2	no	—
359	C₂²⋊C₄×C₃₇	—	2	2	no	—
360	C₂²⋊C₄×C₃₇	—	2	2	no	—
361	C₂²⋊C₄×C₃₇	—	2	2	no	—
362	C₂²⋊C₄×C₃₇	—	2	2	no	—
363	C₂²⋊C₄×C₃₇	—	2	2	no	—
364	C₂²⋊C₄×C₃₇	—	2	2	no	—
365	C₂²⋊C₄×C₃₇	—	2	2	no	—
366	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
367	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
368	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
369	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
370	C₄²×C₃₇	—	2	2	no	—
371	C₄²×C₃₇	—	2	2	no	—
372	C₄²×C₃₇	—	2	2	no	—
373	C₄²×C₃₇	—	2	2	no	—
374	C₄²×C₃₇	—	2	2	no	—
375	C₄²×C₃₇	—	2	2	no	—
376	C₄²×C₃₇	—	2	2	no	—
377	C₄²×C₃₇	—	2	2	no	—
378	C₄²×C₃₇	—	2	2	no	—
379	C₄²×C₃₇	C₂×D₄	1	2	yes	—
380	C₄²×C₃₇	C₂⁴	1	2	yes	—
381	C₂³×C₃₇	—	2	2	no	—
382	C₂³×C₃₇	—	2	2	no	—
383	C₂³×C₃₇	—	2	2	no	—
384	C₂³×C₃₇	—	2	2	no	—
385	C₂³×C₃₇	—	4	1	no	—
386	C₂³×C₃₇	—	4	1	no	—
387	C₂³×C₃₇	—	4	1	no	—
388	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
389	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
390	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
391	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
392	Q₈×C₃₇	—	2	2	no	—
393	Q₈×C₃₇	—	2	2	no	—
394	Q₈×C₃₇	—	4	4	no	—
395	Q₈×C₃₇	—	8	2	no	—
396	D₄×C₃₇	—	2	4	no	—
397	D₄×C₃₇	—	2	2	no	—
398	D₄×C₃₇	—	2	2	no	—
399	D₄×C₃₇	—	4	2	no	—
400	D₄×C₃₇	—	4	4	no	—
401	D₄×C₃₇	—	4	4	no	—
402	D₄×C₃₇	—	4	4	no	—
403	D₄×C₃₇	—	8	2	no	—
404	D₄×C₃₇	—	8	2	no	—
405	C₂×C₄×C₃₇	—	2	2	no	—
406	C₂×C₄×C₃₇	—	2	2	no	—
407	C₂×C₄×C₃₇	—	2	2	no	—
408	C₂×C₄×C₃₇	—	2	2	no	—
409	C₂×C₄×C₃₇	—	2	4	no	—
410	C₂×C₄×C₃₇	—	2	1	no	—
411	C₂×C₄×C₃₇	—	2	1	no	—
412	C₂×C₄×C₃₇	—	2	2	no	—
413	C₂×C₄×C₃₇	—	2	1	no	—
414	C₂×C₄×C₃₇	—	2	2	no	—
415	C₂×C₄×C₃₇	—	2	1	no	—
416	C₂×C₄×C₃₇	—	2	2	no	—
417	C₂×C₄×C₃₇	—	2	2	no	—
418	C₂×C₄×C₃₇	—	2	2	no	—
419	C₂×C₄×C₃₇	—	2	2	no	—
420	C₂×C₄×C₃₇	—	2	2	no	—
421	C₂×C₄×C₃₇	—	2	2	no	—
422	C₂×C₄×C₃₇	—	2	2	no	—
423	C₂×C₄×C₃₇	—	4	1	no	—
424	C₂×C₄×C₃₇	—	4	1	no	—
425	C₂×C₄×C₃₇	—	4	4	no	—
426	C₂×C₄×C₃₇	—	4	4	no	—
427	C₂×C₄×C₃₇	—	4	4	no	—
428	C₂×C₄×C₃₇	—	4	4	no	—
429	C₂×C₄×C₃₇	—	8	2	no	—
430	C₂×C₄×C₃₇	—	8	2	no	—
431	C₂×C₄×C₃₇	—	8	2	no	—
432	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
433	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
434	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
436	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
437	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
438	C₂×C₄×C₃₇	C₂×#41	1	2	yes	—
439	C₂×C₄×C₃₇	2₋¹⁺⁴	1	2	yes	—
440	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
441	C₈×C₃₇	—	2	1	no	—
442	C₈×C₃₇	—	2	1	no	—
443	C₈×C₃₇	—	2	2	no	—
444	C₈×C₃₇	—	2	2	no	—
445	C₈×C₃₇	C₂×#41	1	2	yes	—
446	C₈×C₃₇	C₂×#41	1	2	yes	—
447	#61243	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
448	C₂²×C₃₇	—	2	1	no	—
449	C₂²×C₃₇	—	2	1	no	—
450	C₂²×C₃₇	—	2	1	no	—
451	C₂²×C₃₇	—	2	1	no	—
452	C₂²×C₃₇	—	2	2	no	—
453	C₂²×C₃₇	—	2	1	no	—
454	C₂²×C₃₇	—	2	1	no	—
455	C₂²×C₃₇	—	2	2	no	—
456	C₂²×C₃₇	—	2	2	no	—
457	C₂²×C₃₇	—	2	1	no	—
458	C₂²×C₃₇	—	4	4	no	—
459	C₂²×C₃₇	—	4	2	no	—
460	C₂²×C₃₇	—	4	2	no	—
461	C₂²×C₃₇	—	4	2	no	—
462	C₂²×C₃₇	—	8	2	no	—
463	C₂²×C₃₇	#547	1	2	yes	—
464	C₂²×C₃₇	#575	1	2	yes	—
465	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
466	C₄×C₃₇	—	2	2	no	—
467	C₄×C₃₇	—	2	1	no	—
468	C₄×C₃₇	—	2	1	no	—
469	C₄×C₃₇	—	2	2	no	—
470	C₄×C₃₇	—	2	2	no	—
471	C₄×C₃₇	—	4	2	no	—
472	C₄×C₃₇	—	4	2	no	—
473	C₄×C₃₇	—	4	2	no	—
474	C₄×C₃₇	—	4	2	no	—
475	C₄×C₃₇	—	4	2	no	—
476	C₄×C₃₇	—	4	2	no	—
477	C₄×C₃₇	—	4	2	no	—
478	C₄×C₃₇	#547	1	2	yes	—
479	C₄×C₃₇	C₂²×#41	1	1	yes	characteristic
480	C₄×C₃₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
481	#3475	C₂×C₃₇	1	2	yes	complemented
482	#3350	C₂×C₃₇	1	2	yes	complemented
483	#3349	C₂×C₃₇	1	2	yes	complemented
484	#3348	C₂×C₃₇	1	2	yes	complemented
485	#3347	C₂×C₃₇	1	2	yes	complemented
486	#3346	C₂×C₃₇	1	2	yes	complemented
487	#3345	C₂×C₃₇	1	2	yes	complemented
488	#3344	C₂×C₃₇	1	2	yes	complemented
489	#3343	C₂×C₃₇	1	2	yes	complemented
490	#3162	C₂×C₃₇	1	1	yes	characteristic, complemented
491	#3091	C₂×C₃₇	1	2	yes	complemented
492	#3091	C₂×C₃₇	1	2	yes	complemented
493	#3076	C₂×C₃₇	1	2	yes	complemented
494	#3054	C₂×C₃₇	1	1	yes	characteristic, complemented
495	#3050	C₂×C₃₇	1	1	yes	characteristic, complemented
496	#2943	C₂×C₃₇	1	1	yes	characteristic, complemented
497	C₂×#435	C₂×C₃₇	1	1	yes	characteristic, complemented
498	#2911	C₂×C₃₇	1	1	yes	characteristic, complemented
499	C₂×#427	C₂×C₃₇	1	1	yes	characteristic, complemented
500	C₂×C₃₇	—	2	2	no	—
501	C₂×C₃₇	—	2	2	no	—
502	C₂×C₃₇	—	4	1	no	—
503	C₂×C₃₇	—	4	2	no	—
504	C₂×C₃₇	—	8	2	no	—
505	C₂×C₃₇	C₂×#547	1	1	yes	characteristic
506	C₂×C₃₇	C₂×#575	1	1	yes	characteristic
507	C₂×C₃₇	#3584	1	1	yes	characteristic
508	C₂×#135	C₂²×C₃₇	1	1	yes	characteristic
509	C₂²×M₁₆	C₂²×C₃₇	1	1	yes	characteristic
510	C₂³×C₈	C₂²×C₃₇	1	1	yes	characteristic
511	#556	C₂²×C₃₇	1	2	yes	—
512	#555	C₂²×C₃₇	1	2	yes	—
513	#554	C₂²×C₃₇	1	2	yes	—
514	#553	C₂²×C₃₇	1	2	yes	—
515	#553	C₂²×C₃₇	1	2	yes	—
516	#552	—	2	2	no	—
517	#552	C₂²×C₃₇	1	2	yes	—
518	#552	C₂²×C₃₇	1	2	yes	—
519	#551	—	2	2	no	—
520	#551	—	2	2	no	—
521	#547	C₂²×C₃₇	1	2	yes	—
522	#546	—	2	2	no	—
523	#533	C₂²×C₃₇	1	2	yes	—
524	#529	—	2	2	no	—
525	#529	—	2	2	no	—
526	#529	—	2	2	no	—
527	#525	C₂²×C₃₇	1	2	yes	—
528	#525	C₂²×C₃₇	1	2	yes	—
529	C₄×#41	—	2	2	no	—
530	C₄×#41	C₂²×C₃₇	1	2	yes	—
531	C₂×C₄×D₄	C₂²×C₃₇	1	1	yes	characteristic
532	C₂×#117	C₂²×C₃₇	1	2	yes	—
533	C₂×#117	C₂²×C₃₇	1	2	yes	—
534	#501	C₂²×C₃₇	1	2	yes	complemented
535	#501	C₂²×C₃₇	1	2	yes	complemented
536	#501	C₂²×C₃₇	1	2	yes	complemented
537	#501	C₂²×C₃₇	1	2	yes	complemented
538	#485	C₂²×C₃₇	1	2	yes	complemented
539	#485	C₂²×C₃₇	1	2	yes	complemented
540	#485	C₂²×C₃₇	1	2	yes	complemented
541	#485	C₂²×C₃₇	1	2	yes	complemented
542	#484	C₂²×C₃₇	1	2	yes	complemented
543	#484	C₂²×C₃₇	1	2	yes	complemented
544	#483	C₂²×C₃₇	1	2	yes	complemented
545	#483	C₂²×C₃₇	1	2	yes	complemented
546	#482	C₂²×C₃₇	1	2	yes	complemented
547	#482	C₂²×C₃₇	1	2	yes	complemented
548	#482	C₂²×C₃₇	1	2	yes	complemented
549	#482	C₂²×C₃₇	1	2	yes	complemented
550	#481	C₂²×C₃₇	1	2	yes	complemented
551	#481	C₂²×C₃₇	1	2	yes	complemented
552	#480	C₂²×C₃₇	1	2	yes	complemented
553	#480	C₂²×C₃₇	1	2	yes	complemented
554	#479	C₂²×C₃₇	1	2	yes	complemented
555	#479	C₂²×C₃₇	1	2	yes	complemented
556	#478	C₂²×C₃₇	1	2	yes	complemented
557	#478	C₂²×C₃₇	1	2	yes	complemented
558	#477	C₂²×C₃₇	1	2	yes	complemented
559	#476	C₂²×C₃₇	1	2	yes	complemented
560	#475	C₂²×C₃₇	1	2	yes	complemented
561	#474	C₂²×C₃₇	1	2	yes	complemented
562	#470	C₂²×C₃₇	1	2	yes	complemented
563	#469	C₂²×C₃₇	1	2	yes	complemented
564	#468	C₂²×C₃₇	1	2	yes	complemented
565	#468	C₂²×C₃₇	1	2	yes	complemented
566	#467	C₂²×C₃₇	1	1	yes	characteristic, complemented
567	#467	C₂²×C₃₇	1	1	yes	characteristic, complemented
568	#466	C₂²×C₃₇	1	1	yes	characteristic, complemented
569	#466	C₂²×C₃₇	1	1	yes	characteristic, complemented
570	#465	C₂²×C₃₇	1	2	yes	complemented
571	#465	C₂²×C₃₇	1	2	yes	complemented
572	#442	C₂²×C₃₇	1	2	yes	complemented
573	#441	C₂²×C₃₇	1	2	yes	complemented
574	#440	C₂²×C₃₇	1	2	yes	complemented
575	#440	C₂²×C₃₇	1	2	yes	complemented
576	#435	C₂²×C₃₇	1	2	yes	—
577	#435	C₂²×C₃₇	1	2	yes	—
578	#435	C₂²×C₃₇	1	2	yes	—
579	#435	C₂²×C₃₇	1	2	yes	—
580	#428	C₂²×C₃₇	1	2	yes	complemented
581	#428	C₂²×C₃₇	1	2	yes	complemented
582	#428	C₂²×C₃₇	1	2	yes	complemented
583	#428	C₂²×C₃₇	1	2	yes	complemented
584	#427	C₂²×C₃₇	1	2	yes	—
585	#427	C₂²×C₃₇	1	2	yes	—
586	#427	C₂²×C₃₇	1	2	yes	—
587	#427	C₂²×C₃₇	1	1	yes	characteristic
588	#427	C₂²×C₃₇	1	1	yes	characteristic
589	#427	C₂²×C₃₇	1	1	yes	characteristic
590	#427	C₂²×C₃₇	1	2	yes	complemented
591	#427	C₂²×C₃₇	1	1	yes	characteristic, complemented
592	#427	C₂²×C₃₇	1	1	yes	characteristic, complemented
593	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic, complemented
594	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic, complemented
595	C₂×#106	C₂²×C₃₇	1	2	yes	complemented
596	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
597	#416	C₂²×C₃₇	1	2	yes	—
598	#416	C₂²×C₃₇	1	2	yes	—
599	#416	C₂²×C₃₇	1	2	yes	—
600	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
601	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
602	C₂×#97	C₂²×C₃₇	1	1	yes	characteristic
603	C₃₇	#61243	1	1	yes	characteristic, direct product factor, Sylow
604	C₂×#41	—	2	2	no	—
605	C₂×#41	C₂³×C₃₇	1	2	yes	—
606	C₂²×D₄	D₄×C₃₇	1	1	yes	characteristic
607	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
608	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
609	#135	—	2	4	no	—
610	C₂×Q₁₆	C₂³×C₃₇	1	1	yes	characteristic
611	C₂×SD₁₆	C₂³×C₃₇	1	2	yes	—
612	C₂×D₈	C₂³×C₃₇	1	1	yes	characteristic
613	C₂×M₁₆	—	2	4	no	—
614	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
615	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
616	C₂²×C₈	—	2	4	no	—
617	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
618	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
619	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
620	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
621	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
622	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
623	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
624	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
625	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
626	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
627	#126	—	2	2	no	—
628	#126	—	2	2	no	—
629	#126	—	2	2	no	—
630	#126	—	2	2	no	—
631	#126	—	2	2	no	—
632	#126	—	2	2	no	—
633	#125	—	2	2	no	—
634	#125	—	2	2	no	—
635	#125	—	2	2	no	—
636	#125	C₂³×C₃₇	1	2	yes	—
637	#125	C₂³×C₃₇	1	2	yes	—
638	#124	—	2	2	no	—
639	#124	—	2	2	no	—
640	#124	—	2	2	no	—
641	#123	—	2	2	no	—
642	#123	—	2	2	no	—
643	#123	—	2	2	no	—
644	#123	—	2	2	no	—
645	#123	—	2	2	no	—
646	#123	—	2	2	no	—
647	#123	—	2	2	no	—
648	#123	—	2	2	no	—
649	C₂²⋊Q₈	—	2	2	no	—
650	C₂²⋊Q₈	—	2	2	no	—
651	C₂²⋊Q₈	—	2	2	no	—
652	C₂²⋊Q₈	—	2	2	no	—
653	C₂²⋊Q₈	—	2	2	no	—
654	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
655	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
656	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
657	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
658	#121	—	2	2	no	—
659	#121	—	2	2	no	—
660	#121	—	2	2	no	—
661	#121	C₂³×C₃₇	1	2	yes	—
662	#121	C₂³×C₃₇	1	2	yes	—
663	#121	C₂³×C₃₇	1	2	yes	—
664	#121	C₂³×C₃₇	1	2	yes	—
665	#120	—	2	2	no	—
666	#120	—	2	2	no	—
667	C₄×Q₈	—	2	2	no	—
668	C₄×Q₈	—	2	2	no	—
669	C₄×Q₈	—	2	2	no	—
670	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
671	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
672	C₄×D₄	—	2	2	no	—
673	C₄×D₄	—	2	2	no	—
674	C₄×D₄	—	2	2	no	—
675	C₄×D₄	—	2	2	no	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	2	no	—
678	C₄×D₄	—	2	2	no	—
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	D₄×C₃₇	1	2	yes	—
682	C₄×D₄	D₄×C₃₇	1	2	yes	—
683	C₄×D₄	C₂³×C₃₇	1	2	yes	—
684	C₄×D₄	C₂³×C₃₇	1	2	yes	—
685	C₄×D₄	C₂³×C₃₇	1	2	yes	—
686	C₄×D₄	C₂³×C₃₇	1	2	yes	—
687	#117	—	2	2	no	—
688	#117	—	2	2	no	—
689	#117	—	2	2	no	—
690	#117	—	2	2	no	—
691	#117	—	2	2	no	—
692	#117	—	2	2	no	—
693	#117	—	2	2	no	—
694	#117	—	2	2	no	—
695	#117	C₂³×C₃₇	1	2	yes	—
696	#117	C₂³×C₃₇	1	2	yes	—
697	#117	C₂³×C₃₇	1	2	yes	—
698	#117	C₂³×C₃₇	1	2	yes	—
699	#117	C₂³×C₃₇	1	2	yes	—
700	#117	C₂³×C₃₇	1	2	yes	—
701	#117	C₂³×C₃₇	1	2	yes	—
702	C₂×C₄⋊C₄	D₄×C₃₇	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
707	C₂×C₂²⋊C₄	—	2	2	no	—
708	C₂×C₂²⋊C₄	—	2	2	no	—
709	C₂×C₂²⋊C₄	D₄×C₃₇	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	D₄×C₃₇	1	1	yes	characteristic
711	C₂×C₄²	—	2	2	no	—
712	C₂×C₄²	—	2	2	no	—
713	C₂×C₄²	—	2	2	no	—
714	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
715	#107	C₂³×C₃₇	1	1	yes	characteristic
716	#107	C₂³×C₃₇	1	1	yes	characteristic
717	#107	C₂³×C₃₇	1	1	yes	characteristic
718	#107	C₂³×C₃₇	1	1	yes	characteristic
719	#107	C₂³×C₃₇	1	2	yes	—
720	#107	C₂³×C₃₇	1	2	yes	—
721	#107	C₂³×C₃₇	1	1	yes	characteristic
722	#107	C₂³×C₃₇	1	1	yes	characteristic
723	#107	C₂³×C₃₇	1	2	yes	—
724	#107	C₂³×C₃₇	1	2	yes	—
725	#107	C₂³×C₃₇	1	2	yes	—
726	#107	C₂³×C₃₇	1	2	yes	—
727	#106	C₂³×C₃₇	1	2	yes	—
728	#106	C₂³×C₃₇	1	2	yes	—
729	#106	C₂³×C₃₇	1	2	yes	—
730	#106	C₂³×C₃₇	1	2	yes	—
731	#106	C₂³×C₃₇	1	2	yes	—
732	#106	C₂³×C₃₇	1	2	yes	—
733	#106	C₂³×C₃₇	1	2	yes	—
734	#106	C₂³×C₃₇	1	2	yes	—
735	#106	C₂³×C₃₇	1	2	yes	—
736	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
737	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
738	#103	C₂³×C₃₇	1	2	yes	—
739	#103	C₂³×C₃₇	1	2	yes	—
740	#103	C₂³×C₃₇	1	2	yes	—
741	#103	C₂³×C₃₇	1	2	yes	—
742	#103	C₂³×C₃₇	1	2	yes	—
743	#103	C₂³×C₃₇	1	2	yes	—
744	#102	C₂³×C₃₇	1	2	yes	—
745	#102	C₂³×C₃₇	1	2	yes	—
746	#102	C₂³×C₃₇	1	2	yes	—
747	#102	C₂³×C₃₇	1	2	yes	—
748	#102	C₂³×C₃₇	1	2	yes	—
749	#102	C₂³×C₃₇	1	2	yes	—
750	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
751	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
752	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
753	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
754	#97	C₂³×C₃₇	1	2	yes	—
755	#97	C₂³×C₃₇	1	2	yes	—
756	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
757	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
758	#41	—	2	4	no	—
759	#41	—	2	4	no	—
760	#41	—	4	8	no	—
761	C₂×Q₈	—	2	2	no	—
762	C₂×Q₈	—	2	2	no	—
763	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	2	2	no	—
768	C₂×D₄	—	2	2	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
771	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
772	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
773	C₂²×C₄	—	2	2	no	—
774	C₂²×C₄	—	2	2	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
785	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
786	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
787	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
788	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
789	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
790	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
792	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
795	Q₁₆	—	2	2	no	—
796	SD₁₆	—	2	4	no	—
797	D₈	—	2	2	no	—
798	M₁₆	—	2	4	no	—
799	M₁₆	—	2	4	no	—
800	C₂×C₈	—	2	2	no	—
801	C₂×C₈	—	2	2	no	—
802	C₂×C₈	—	2	2	no	—
803	C₂×C₈	—	2	2	no	—
804	C₂×C₈	—	2	2	no	—
805	C₂×C₈	—	2	2	no	—
806	C₂×C₈	—	2	2	no	—
807	C₂×C₈	#41×C₃₇	1	4	yes	complemented
808	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
809	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
810	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
811	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
812	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
813	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	2	no	—
822	C₄⋊C₄	—	2	2	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	2	2	no	—
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
831	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
832	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
833	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
834	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
835	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
836	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
837	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	—	2	2	no	—
844	C₂²⋊C₄	—	2	2	no	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	—	2	2	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	2	2	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	2	no	—
852	C₂²⋊C₄	—	2	2	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	2	no	—
855	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
856	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
857	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
858	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
859	C₄²	—	2	2	no	—
860	C₄²	—	2	2	no	—
861	C₄²	—	2	2	no	—
862	C₄²	—	2	2	no	—
863	C₄²	—	2	2	no	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	2	no	—
866	C₄²	—	2	2	no	—
867	C₄²	—	2	2	no	—
868	C₄²	C₂×D₄×C₃₇	1	2	yes	—
869	C₄²	C₂⁴×C₃₇	1	2	yes	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	2	no	—
874	C₂³	—	4	1	no	—
875	C₂³	—	4	1	no	—
876	C₂³	—	4	1	no	—
877	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
878	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
879	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
880	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
881	Q₈	—	2	2	no	—
882	Q₈	—	2	2	no	—
883	Q₈	—	4	4	no	—
884	Q₈	—	8	2	no	—
885	D₄	—	2	4	no	—
886	D₄	—	2	2	no	—
887	D₄	—	2	2	no	—
888	D₄	—	4	2	no	—
889	D₄	—	4	4	no	—
890	D₄	—	4	4	no	—
891	D₄	—	4	4	no	—
892	D₄	—	8	2	no	—
893	D₄	—	8	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	4	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	4	1	no	—
913	C₂×C₄	—	4	1	no	—
914	C₂×C₄	—	4	4	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	4	no	—
917	C₂×C₄	—	4	4	no	—
918	C₂×C₄	—	8	2	no	—
919	C₂×C₄	—	8	2	no	—
920	C₂×C₄	—	8	2	no	—
921	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
922	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
923	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
924	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
925	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
926	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
927	C₂×C₄	C₂×#41×C₃₇	1	2	yes	—
928	C₂×C₄	2₋¹⁺⁴×C₃₇	1	2	yes	—
929	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
930	C₈	—	2	1	no	—
931	C₈	—	2	1	no	—
932	C₈	—	2	2	no	—
933	C₈	—	2	2	no	—
934	C₈	C₂×#41×C₃₇	1	2	yes	—
935	C₈	C₂×#41×C₃₇	1	2	yes	—
936	C₂²	—	2	1	no	—
937	C₂²	—	2	1	no	—
938	C₂²	—	2	1	no	—
939	C₂²	—	2	1	no	—
940	C₂²	—	2	1	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	1	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	2	1	no	—
946	C₂²	—	4	4	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	8	2	no	—
951	C₂²	C₃₇×#547	1	2	yes	—
952	C₂²	C₃₇×#575	1	2	yes	—
953	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	2	no	—
957	C₄	—	2	2	no	—
958	C₄	—	2	2	no	—
959	C₄	—	4	2	no	—
960	C₄	—	4	2	no	—
961	C₄	—	4	2	no	—
962	C₄	—	4	2	no	—
963	C₄	—	4	2	no	—
964	C₄	—	4	2	no	—
965	C₄	—	4	2	no	—
966	C₄	C₃₇×#547	1	2	yes	—
967	C₄	C₂²×#41×C₃₇	1	1	yes	characteristic
968	C₄	C₂×2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
969	C₂	—	2	2	no	—
970	C₂	—	2	2	no	—
971	C₂	—	4	1	no	—
972	C₂	—	4	2	no	—
973	C₂	—	8	2	no	—
974	C₂	C₂×C₃₇×#547	1	1	yes	characteristic
975	C₂	C₂×C₃₇×#575	1	1	yes	characteristic
976	C₂	C₃₇×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3475	C₂	semidirect
2. C₃₇×#3350	C₂	semidirect
3. C₃₇×#3349	C₂	semidirect
4. C₃₇×#3348	C₂	semidirect
5. C₃₇×#3347	C₂	semidirect
6. C₃₇×#3346	C₂	semidirect
7. C₃₇×#3345	C₂	semidirect
8. C₃₇×#3344	C₂	semidirect
9. C₃₇×#3343	C₂	semidirect
10. C₃₇×#3162	C₂	semidirect
11. C₃₇×#3091	C₂	semidirect
12. C₃₇×#3091	C₂	semidirect
13. C₃₇×#3076	C₂	semidirect
14. C₃₇×#3054	C₂	semidirect
15. C₃₇×#3050	C₂	semidirect
16. C₃₇×#2943	C₂	semidirect
17. C₂×C₃₇×#435	C₂	semidirect
18. C₃₇×#2911	C₂	semidirect
19. C₂×C₃₇×#427	C₂	semidirect
46. C₃₇×#501	C₂²	semidirect
47. C₃₇×#501	C₂²	semidirect
48. C₃₇×#501	C₂²	semidirect
49. C₃₇×#501	C₂²	semidirect
50. C₃₇×#485	C₂²	semidirect
51. C₃₇×#485	C₂²	semidirect
52. C₃₇×#485	C₂²	semidirect
53. C₃₇×#485	C₂²	semidirect
54. C₃₇×#484	C₂²	semidirect
55. C₃₇×#484	C₂²	semidirect
56. C₃₇×#483	C₂²	semidirect
57. C₃₇×#483	C₂²	semidirect
58. C₃₇×#482	C₂²	semidirect
59. C₃₇×#482	C₂²	semidirect
60. C₃₇×#482	C₂²	semidirect
61. C₃₇×#482	C₂²	semidirect
62. C₃₇×#481	C₂²	semidirect
63. C₃₇×#481	C₂²	semidirect
64. C₃₇×#480	C₂²	semidirect
65. C₃₇×#480	C₂²	semidirect
66. C₃₇×#479	C₂²	semidirect
67. C₃₇×#479	C₂²	semidirect
68. C₃₇×#478	C₂²	semidirect
69. C₃₇×#478	C₂²	semidirect
70. C₃₇×#477	C₂²	semidirect
71. C₃₇×#476	C₂²	semidirect
72. C₃₇×#475	C₂²	semidirect
73. C₃₇×#474	C₂²	semidirect
74. C₃₇×#470	C₂²	semidirect
75. C₃₇×#469	C₂²	semidirect
76. C₃₇×#468	C₂²	semidirect
77. C₃₇×#468	C₂²	semidirect
78. C₃₇×#467	C₂²	semidirect
79. C₃₇×#467	C₂²	semidirect
80. C₃₇×#466	C₂²	semidirect
81. C₃₇×#466	C₂²	semidirect
82. C₃₇×#465	C₂²	semidirect
83. C₃₇×#465	C₂²	semidirect
84. C₃₇×#442	C₂²	semidirect
85. C₃₇×#441	C₂²	semidirect
86. C₃₇×#440	C₂²	semidirect
87. C₃₇×#440	C₂²	semidirect
92. C₃₇×#428	C₂²	semidirect
93. C₃₇×#428	C₂²	semidirect
94. C₃₇×#428	C₂²	semidirect
95. C₃₇×#428	C₂²	semidirect
102. C₃₇×#427	C₂²	semidirect
103. C₃₇×#427	C₂²	semidirect
104. C₃₇×#427	C₂²	semidirect
105. C₂×#107×C₃₇	C₂²	semidirect
106. C₂×#107×C₃₇	C₂²	semidirect
107. C₂×#106×C₃₇	C₂²	semidirect
318. C₂×C₈×C₃₇	#41	semidirect
447. #61243	C₃₇	direct (N × H)
481. #3475	C₂×C₃₇	semidirect
482. #3350	C₂×C₃₇	semidirect
483. #3349	C₂×C₃₇	semidirect
484. #3348	C₂×C₃₇	semidirect
485. #3347	C₂×C₃₇	semidirect
486. #3346	C₂×C₃₇	semidirect
487. #3345	C₂×C₃₇	semidirect
488. #3344	C₂×C₃₇	semidirect
489. #3343	C₂×C₃₇	semidirect
490. #3162	C₂×C₃₇	semidirect
491. #3091	C₂×C₃₇	semidirect
492. #3091	C₂×C₃₇	semidirect
493. #3076	C₂×C₃₇	semidirect
494. #3054	C₂×C₃₇	semidirect
495. #3050	C₂×C₃₇	semidirect
496. #2943	C₂×C₃₇	semidirect
497. C₂×#435	C₂×C₃₇	semidirect
498. #2911	C₂×C₃₇	semidirect
499. C₂×#427	C₂×C₃₇	semidirect
534. #501	C₂²×C₃₇	semidirect
535. #501	C₂²×C₃₇	semidirect
536. #501	C₂²×C₃₇	semidirect
537. #501	C₂²×C₃₇	semidirect
538. #485	C₂²×C₃₇	semidirect
539. #485	C₂²×C₃₇	semidirect
540. #485	C₂²×C₃₇	semidirect
541. #485	C₂²×C₃₇	semidirect
542. #484	C₂²×C₃₇	semidirect
543. #484	C₂²×C₃₇	semidirect
544. #483	C₂²×C₃₇	semidirect
545. #483	C₂²×C₃₇	semidirect
546. #482	C₂²×C₃₇	semidirect
547. #482	C₂²×C₃₇	semidirect
548. #482	C₂²×C₃₇	semidirect
549. #482	C₂²×C₃₇	semidirect
550. #481	C₂²×C₃₇	semidirect
551. #481	C₂²×C₃₇	semidirect
552. #480	C₂²×C₃₇	semidirect
553. #480	C₂²×C₃₇	semidirect
554. #479	C₂²×C₃₇	semidirect
555. #479	C₂²×C₃₇	semidirect
556. #478	C₂²×C₃₇	semidirect
557. #478	C₂²×C₃₇	semidirect
558. #477	C₂²×C₃₇	semidirect
559. #476	C₂²×C₃₇	semidirect
560. #475	C₂²×C₃₇	semidirect
561. #474	C₂²×C₃₇	semidirect
562. #470	C₂²×C₃₇	semidirect
563. #469	C₂²×C₃₇	semidirect
564. #468	C₂²×C₃₇	semidirect
565. #468	C₂²×C₃₇	semidirect
566. #467	C₂²×C₃₇	semidirect
567. #467	C₂²×C₃₇	semidirect
568. #466	C₂²×C₃₇	semidirect
569. #466	C₂²×C₃₇	semidirect
570. #465	C₂²×C₃₇	semidirect
571. #465	C₂²×C₃₇	semidirect
572. #442	C₂²×C₃₇	semidirect
573. #441	C₂²×C₃₇	semidirect
574. #440	C₂²×C₃₇	semidirect
575. #440	C₂²×C₃₇	semidirect
580. #428	C₂²×C₃₇	semidirect
581. #428	C₂²×C₃₇	semidirect
582. #428	C₂²×C₃₇	semidirect
583. #428	C₂²×C₃₇	semidirect
590. #427	C₂²×C₃₇	semidirect
591. #427	C₂²×C₃₇	semidirect
592. #427	C₂²×C₃₇	semidirect
593. C₂×#107	C₂²×C₃₇	semidirect
594. C₂×#107	C₂²×C₃₇	semidirect
595. C₂×#106	C₂²×C₃₇	semidirect
603. C₃₇	#61243	direct (N × H)
807. C₂×C₈	#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×#3475	2
C₃₇×#3350	2
C₃₇×#3349	2
C₃₇×#3348	2
C₃₇×#3347	2
C₃₇×#3346	2
C₃₇×#3345	2
C₃₇×#3344	2
C₃₇×#3343	2
C₃₇×#3162	2
C₃₇×#3091	2
C₃₇×#3076	2
C₃₇×#3054	2
C₃₇×#3050	2
C₃₇×#2943	2
C₂×C₃₇×#435	2
C₃₇×#2911	2
C₂×C₃₇×#427	2
#61243	37

Subgroups — C37×#61243 #22682496

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61243 #22682496