Subgroups — C₃₇×#62928 #22684181

Order 9472.

6360 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3565	C₂	1	4	yes	maximal, complemented
2	C₃₇×#3565	C₂	1	4	yes	maximal, complemented
3	C₃₇×#3564	C₂	1	4	yes	maximal, complemented
4	C₃₇×#3563	C₂	1	4	yes	maximal, complemented
5	C₃₇×#3563	C₂	1	4	yes	maximal, complemented
6	C₃₇×#3563	C₂	1	4	yes	maximal, complemented
7	C₃₇×#3555	C₂	1	4	yes	maximal, complemented
8	C₃₇×#3544	C₂	1	4	yes	maximal, complemented
9	C₃₇×#3535	C₂	1	4	yes	maximal, complemented
10	C₃₇×#3515	C₂	1	4	yes	maximal, complemented
11	C₃₇×#3509	C₂	1	4	yes	maximal, complemented
12	C₃₇×#3504	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3502	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#3495	C₂	1	2	yes	maximal, complemented
15	C₃₇×#3495	C₂	1	2	yes	maximal, complemented
16	C₃₇×#3495	C₂	1	4	yes	maximal, complemented
17	C₃₇×#3493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₇×#3492	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₇×#3475	C₂	1	2	yes	maximal, complemented
20	C₂×C₃₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₇×#3461	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₇×#3458	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃₇×#544	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₇×#564	C₂²	1	8	yes	complemented
25	C₃₇×#563	C₂²	1	8	yes	—
26	C₃₇×#563	C₂²	1	8	yes	complemented
27	C₃₇×#563	C₂²	1	8	yes	complemented
28	C₃₇×#563	C₂²	1	8	yes	complemented
29	C₃₇×#562	C₂²	1	8	yes	—
30	Q₈²×C₃₇	C₂²	1	4	yes	complemented
31	C₃₇×#557	C₂²	1	4	yes	complemented
32	C₃₇×#557	C₂²	1	4	yes	complemented
33	C₃₇×#557	C₂²	1	4	yes	complemented
34	C₃₇×#557	C₂²	1	4	yes	complemented
35	C₃₇×#557	C₂²	1	4	yes	complemented
36	C₃₇×#557	C₂²	1	8	yes	complemented
37	C₃₇×#556	C₂²	1	2	yes	—
38	C₃₇×#556	C₂²	1	4	yes	complemented
39	C₃₇×#556	C₂²	1	4	yes	complemented
40	C₃₇×#556	C₂²	1	4	yes	complemented
41	C₃₇×#556	C₂²	1	8	yes	complemented
42	C₃₇×#556	C₂²	1	8	yes	complemented
43	C₃₇×#555	C₂²	1	2	yes	—
44	C₃₇×#555	C₂²	1	4	yes	complemented
45	C₃₇×#554	C₂²	1	2	yes	—
46	C₃₇×#554	C₂²	1	8	yes	—
47	C₃₇×#554	C₂²	1	8	yes	—
48	C₃₇×#554	C₂²	1	4	yes	complemented
49	C₃₇×#554	C₂²	1	4	yes	complemented
50	C₃₇×#554	C₂²	1	4	yes	complemented
51	C₃₇×#554	C₂²	1	4	yes	complemented
52	C₃₇×#554	C₂²	1	4	yes	complemented
53	C₃₇×#553	C₂²	1	2	yes	—
54	C₃₇×#553	C₂²	1	2	yes	—
55	C₃₇×#553	C₂²	1	4	yes	complemented
56	C₃₇×#553	C₂²	1	4	yes	complemented
57	C₃₇×#552	C₂²	1	4	yes	—
58	C₃₇×#552	C₂²	1	4	yes	—
59	C₃₇×#552	C₂²	1	4	yes	—
60	C₃₇×#552	C₂²	1	4	yes	—
61	C₃₇×#552	C₂²	1	2	yes	—
62	C₃₇×#552	C₂²	1	4	yes	—
63	C₃₇×#552	C₂²	1	2	yes	—
64	C₃₇×#552	C₂²	1	8	yes	—
65	C₃₇×#552	C₂²	1	8	yes	—
66	C₃₇×#552	C₂²	1	8	yes	—
67	C₃₇×#552	C₂²	1	4	yes	complemented
68	C₃₇×#552	C₂²	1	4	yes	complemented
69	C₃₇×#552	C₂²	1	8	yes	complemented
70	C₃₇×#552	C₂²	1	4	yes	complemented
71	C₃₇×#552	C₂²	1	4	yes	complemented
72	C₃₇×#552	C₂²	1	8	yes	complemented
73	C₃₇×#552	C₂²	1	4	yes	complemented
74	C₃₇×#552	C₂²	1	8	yes	complemented
75	C₃₇×#552	C₂²	1	4	yes	complemented
76	C₃₇×#552	C₂²	1	8	yes	complemented
77	C₃₇×#552	C₂²	1	8	yes	complemented
78	C₃₇×#551	C₂²	1	4	yes	—
79	C₃₇×#551	C₂²	1	4	yes	—
80	C₃₇×#551	C₂²	1	8	yes	—
81	C₃₇×#551	C₂²	1	8	yes	—
82	C₃₇×#547	C₂²	1	2	yes	—
83	C₃₇×#547	C₂²	1	8	yes	—
84	C₃₇×#547	C₂²	1	4	yes	complemented
85	C₃₇×#546	C₂²	1	4	yes	—
86	C₃₇×#544	C₂²	1	1	yes	characteristic
87	C₃₇×#544	C₂²	1	1	yes	characteristic
88	C₃₇×#544	C₂²	1	2	yes	—
89	C₃₇×#544	C₂²	1	4	yes	—
90	C₃₇×#544	C₂²	1	1	yes	characteristic
91	C₃₇×#544	C₂²	1	2	yes	—
92	C₃₇×#544	C₂²	1	4	yes	—
93	C₃₇×#544	C₂²	1	4	yes	complemented
94	C₃₇×#544	C₂²	1	4	yes	complemented
95	C₃₇×#544	C₂²	1	4	yes	complemented
96	C₃₇×#544	C₂²	1	4	yes	complemented
97	C₃₇×#544	C₂²	1	4	yes	complemented
98	C₃₇×#544	C₂²	1	4	yes	complemented
99	C₃₇×#544	C₂²	1	4	yes	complemented
100	C₃₇×#544	C₂²	1	8	yes	complemented
101	C₃₇×#543	C₂²	1	4	yes	—
102	C₃₇×#542	C₂²	1	8	yes	—
103	C₃₇×#542	C₂²	1	4	yes	complemented
104	C₃₇×#542	C₂²	1	4	yes	complemented
105	C₃₇×#542	C₂²	1	4	yes	complemented
106	C₃₇×#542	C₂²	1	4	yes	complemented
107	C₃₇×#542	C₂²	1	4	yes	complemented
108	C₃₇×#542	C₂²	1	8	yes	complemented
109	C₃₇×#541	C₂²	1	4	yes	complemented
110	C₃₇×#541	C₂²	1	4	yes	complemented
111	C₃₇×#541	C₂²	1	4	yes	complemented
112	C₃₇×#541	C₂²	1	4	yes	complemented
113	C₃₇×#541	C₂²	1	4	yes	complemented
114	C₃₇×#541	C₂²	1	8	yes	complemented
115	C₃₇×#541	C₂²	1	8	yes	complemented
116	C₃₇×#541	C₂²	1	8	yes	complemented
117	C₃₇×#541	C₂²	1	8	yes	complemented
118	C₃₇×#541	C₂²	1	8	yes	complemented
119	C₃₇×#539	C₂²	1	4	yes	—
120	C₃₇×#539	C₂²	1	4	yes	—
121	C₃₇×#539	C₂²	1	8	yes	—
122	C₃₇×#539	C₂²	1	8	yes	—
123	C₃₇×#539	C₂²	1	8	yes	complemented
124	C₃₇×#538	C₂²	1	4	yes	—
125	C₃₇×#537	C₂²	1	1	yes	characteristic
126	C₃₇×#536	C₂²	1	2	yes	—
127	C₃₇×#536	C₂²	1	8	yes	—
128	C₃₇×#536	C₂²	1	4	yes	complemented
129	C₃₇×#533	C₂²	1	4	yes	—
130	C₃₇×#533	C₂²	1	2	yes	—
131	C₃₇×#533	C₂²	1	4	yes	—
132	C₃₇×#533	C₂²	1	4	yes	complemented
133	C₃₇×#533	C₂²	1	4	yes	complemented
134	C₃₇×#533	C₂²	1	4	yes	complemented
135	C₃₇×#533	C₂²	1	4	yes	complemented
136	C₃₇×#533	C₂²	1	4	yes	complemented
137	C₃₇×#533	C₂²	1	4	yes	complemented
138	C₂×C₄⋊Q₈×C₃₇	C₂²	1	4	yes	complemented
139	C₃₇×#529	C₂²	1	4	yes	—
140	C₃₇×#529	C₂²	1	4	yes	—
141	C₃₇×#529	C₂²	1	4	yes	—
142	C₃₇×#529	C₂²	1	4	yes	—
143	C₃₇×#529	C₂²	1	4	yes	—
144	C₃₇×#529	C₂²	1	4	yes	complemented
145	C₃₇×#529	C₂²	1	4	yes	complemented
146	C₃₇×#529	C₂²	1	4	yes	complemented
147	C₂×#126×C₃₇	C₂²	1	2	yes	—
148	C₂×#125×C₃₇	C₂²	1	1	yes	characteristic
149	C₂×#125×C₃₇	C₂²	1	2	yes	—
150	C₂×#125×C₃₇	C₂²	1	4	yes	complemented
151	C₂×#125×C₃₇	C₂²	1	4	yes	complemented
152	C₃₇×#525	C₂²	1	2	yes	—
153	C₃₇×#525	C₂²	1	2	yes	—
154	C₃₇×#525	C₂²	1	4	yes	—
155	C₂×#123×C₃₇	C₂²	1	2	yes	—
156	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	4	yes	—
157	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
158	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
159	C₃₇×#520	C₂²	1	2	yes	—
160	C₃₇×#520	C₂²	1	2	yes	—
161	C₃₇×#520	C₂²	1	4	yes	complemented
162	C₃₇×#519	C₂²	1	2	yes	—
163	C₃₇×#519	C₂²	1	4	yes	complemented
164	C₄×#41×C₃₇	C₂²	1	2	yes	—
165	C₄×#41×C₃₇	C₂²	1	4	yes	—
166	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
167	C₂×C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
168	C₂×#117×C₃₇	C₂²	1	2	yes	—
169	C₂×#117×C₃₇	C₂²	1	1	yes	characteristic
170	C₂×#117×C₃₇	C₂²	1	2	yes	—
171	C₂×#117×C₃₇	C₂²	1	2	yes	—
172	C₂²×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
173	C₂×#41×C₃₇	C₂³	1	2	yes	—
174	C₂×#41×C₃₇	C₂³	1	4	yes	—
175	C₂×#41×C₃₇	C₂³	1	4	yes	—
176	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
177	C₂²×Q₈×C₃₇	C₂³	1	4	yes	—
178	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
179	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
182	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
183	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
184	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
185	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
186	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
187	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
188	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
189	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
190	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
191	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
192	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
193	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
194	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
195	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
196	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
197	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
198	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
199	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
200	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
201	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
202	#126×C₃₇	C₂³	1	8	yes	—
203	#126×C₃₇	C₂³	1	8	yes	—
204	#126×C₃₇	C₂³	1	4	yes	—
205	#126×C₃₇	C₂³	1	4	yes	—
206	#126×C₃₇	C₂³	1	4	yes	—
207	#126×C₃₇	C₂³	1	4	yes	—
208	#126×C₃₇	C₂³	1	4	yes	—
209	#126×C₃₇	C₂³	1	4	yes	—
210	#126×C₃₇	C₂³	1	8	yes	—
211	#126×C₃₇	C₂³	1	8	yes	—
212	#126×C₃₇	C₂³	1	8	yes	—
213	#126×C₃₇	C₂³	1	8	yes	—
214	#126×C₃₇	C₂³	1	8	yes	—
215	#126×C₃₇	C₂³	1	8	yes	—
216	#126×C₃₇	C₂³	1	8	yes	—
217	#126×C₃₇	C₂³	1	8	yes	—
218	#126×C₃₇	C₂³	1	8	yes	—
219	#126×C₃₇	C₂³	1	8	yes	—
220	#126×C₃₇	C₂³	1	8	yes	—
221	#126×C₃₇	C₂³	1	8	yes	—
222	#126×C₃₇	C₂³	1	8	yes	—
223	#125×C₃₇	C₂³	1	4	yes	—
224	#125×C₃₇	C₂³	1	8	yes	—
225	#125×C₃₇	C₂³	1	8	yes	—
226	#125×C₃₇	C₂³	1	4	yes	—
227	#125×C₃₇	C₂³	1	4	yes	—
228	#125×C₃₇	C₂³	1	2	yes	—
229	#125×C₃₇	C₂³	1	4	yes	—
230	#125×C₃₇	C₂³	1	4	yes	—
231	#125×C₃₇	C₂³	1	8	yes	—
232	#125×C₃₇	C₂³	1	8	yes	—
233	#125×C₃₇	C₂³	1	8	yes	—
234	#125×C₃₇	C₂³	1	4	yes	—
235	#125×C₃₇	C₂³	1	8	yes	—
236	#125×C₃₇	C₂³	1	4	yes	—
237	#125×C₃₇	C₂³	1	4	yes	—
238	#125×C₃₇	C₂³	1	4	yes	—
239	#125×C₃₇	C₂³	1	4	yes	—
240	#125×C₃₇	C₂³	1	4	yes	—
241	#125×C₃₇	C₂³	1	4	yes	—
242	#125×C₃₇	C₂³	1	2	yes	—
243	#125×C₃₇	C₂³	1	8	yes	—
244	#125×C₃₇	C₂³	1	8	yes	—
245	#125×C₃₇	C₂³	1	8	yes	—
246	#125×C₃₇	C₂³	1	8	yes	—
247	#125×C₃₇	C₂³	1	8	yes	—
248	#125×C₃₇	C₂³	1	4	yes	—
249	#125×C₃₇	C₂³	1	4	yes	—
250	#125×C₃₇	C₂³	1	8	yes	—
251	#125×C₃₇	C₂³	1	8	yes	—
252	#125×C₃₇	C₂³	1	8	yes	—
253	#125×C₃₇	C₂³	1	8	yes	—
254	#125×C₃₇	C₂³	1	8	yes	—
255	#125×C₃₇	C₂³	1	8	yes	—
256	#125×C₃₇	C₂³	1	8	yes	—
257	#125×C₃₇	C₂³	1	8	yes	—
258	#125×C₃₇	C₂³	1	8	yes	—
259	#124×C₃₇	C₂³	1	4	yes	—
260	#124×C₃₇	C₂³	1	4	yes	—
261	#124×C₃₇	C₂³	1	4	yes	—
262	#124×C₃₇	C₂³	1	4	yes	—
263	#124×C₃₇	C₂³	1	4	yes	—
264	#124×C₃₇	C₂³	1	4	yes	—
265	#124×C₃₇	C₂³	1	8	yes	—
266	#124×C₃₇	C₂³	1	8	yes	—
267	#124×C₃₇	C₂³	1	8	yes	—
268	#123×C₃₇	C₂³	1	8	yes	—
269	#123×C₃₇	C₂³	1	8	yes	—
270	#123×C₃₇	C₂³	1	4	yes	—
271	#123×C₃₇	C₂³	1	8	yes	—
272	#123×C₃₇	C₂³	1	4	yes	—
273	#123×C₃₇	C₂³	1	4	yes	—
274	#123×C₃₇	C₂³	1	8	yes	—
275	#123×C₃₇	C₂³	1	4	yes	—
276	#123×C₃₇	C₂³	1	4	yes	—
277	#123×C₃₇	C₂³	1	4	yes	—
278	#123×C₃₇	C₂³	1	4	yes	—
279	#123×C₃₇	C₂³	1	4	yes	—
280	#123×C₃₇	C₂³	1	8	yes	—
281	#123×C₃₇	C₂³	1	8	yes	—
282	#123×C₃₇	C₂³	1	8	yes	—
283	#123×C₃₇	C₂³	1	8	yes	—
284	#123×C₃₇	C₂³	1	8	yes	—
285	#123×C₃₇	C₂³	1	8	yes	—
286	#123×C₃₇	C₂³	1	8	yes	—
287	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
288	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
289	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
290	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
291	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
292	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
293	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
294	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
295	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
296	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
297	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
298	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
299	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
300	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
301	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
302	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
303	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
304	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
305	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
306	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
307	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
308	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
309	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
311	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
312	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
313	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
314	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
315	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
316	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
317	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
318	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
319	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
320	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
321	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
322	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
323	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
324	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
325	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
326	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
327	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
328	#121×C₃₇	C₂³	1	4	yes	—
329	#121×C₃₇	C₂³	1	2	yes	—
330	#121×C₃₇	C₂³	1	2	yes	—
331	#121×C₃₇	C₂³	1	2	yes	—
332	#121×C₃₇	C₂³	1	2	yes	—
333	#121×C₃₇	C₂³	1	4	yes	—
334	#121×C₃₇	C₂³	1	4	yes	—
335	#121×C₃₇	C₂³	1	4	yes	—
336	#121×C₃₇	C₂³	1	4	yes	—
337	#121×C₃₇	C₂³	1	4	yes	—
338	#121×C₃₇	C₂³	1	8	yes	—
339	#120×C₃₇	C₂³	1	4	yes	—
340	#120×C₃₇	C₂³	1	4	yes	—
341	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
342	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
343	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
344	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
345	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
346	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
347	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
348	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
349	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
350	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
351	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
352	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
353	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
354	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
355	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
356	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
357	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
358	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
359	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
360	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
361	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
362	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
363	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
364	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
365	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
366	C₄×D₄×C₃₇	C₂³	1	8	yes	—
367	C₄×D₄×C₃₇	C₂³	1	8	yes	—
368	C₄×D₄×C₃₇	C₂³	1	4	yes	—
369	C₄×D₄×C₃₇	C₂³	1	4	yes	—
370	C₄×D₄×C₃₇	C₂³	1	4	yes	—
371	C₄×D₄×C₃₇	C₂³	1	4	yes	—
372	C₄×D₄×C₃₇	C₂³	1	4	yes	—
373	C₄×D₄×C₃₇	C₂³	1	8	yes	—
374	C₄×D₄×C₃₇	C₂³	1	4	yes	—
375	C₄×D₄×C₃₇	C₂³	1	4	yes	—
376	C₄×D₄×C₃₇	C₂³	1	4	yes	—
377	C₄×D₄×C₃₇	C₂³	1	4	yes	—
378	C₄×D₄×C₃₇	C₂³	1	8	yes	—
379	C₄×D₄×C₃₇	C₂³	1	2	yes	—
380	C₄×D₄×C₃₇	C₂³	1	4	yes	—
381	C₄×D₄×C₃₇	C₂³	1	2	yes	—
382	C₄×D₄×C₃₇	C₂³	1	2	yes	—
383	C₄×D₄×C₃₇	C₂³	1	2	yes	—
384	C₄×D₄×C₃₇	C₂³	1	8	yes	—
385	C₄×D₄×C₃₇	C₂³	1	4	yes	—
386	C₄×D₄×C₃₇	C₂³	1	4	yes	—
387	C₄×D₄×C₃₇	C₂³	1	4	yes	—
388	C₄×D₄×C₃₇	C₂³	1	2	yes	—
389	C₄×D₄×C₃₇	C₂³	1	2	yes	—
390	#117×C₃₇	C₂³	1	2	yes	—
391	#117×C₃₇	C₂³	1	2	yes	—
392	#117×C₃₇	C₂³	1	8	yes	—
393	#117×C₃₇	C₂³	1	4	yes	—
394	#117×C₃₇	C₂³	1	4	yes	—
395	#117×C₃₇	C₂³	1	4	yes	—
396	#117×C₃₇	C₂³	1	8	yes	—
397	#117×C₃₇	C₂³	1	4	yes	—
398	#117×C₃₇	C₂³	1	4	yes	—
399	#117×C₃₇	C₂³	1	8	yes	—
400	#117×C₃₇	C₂³	1	4	yes	—
401	#117×C₃₇	C₂³	1	4	yes	—
402	#117×C₃₇	C₂³	1	4	yes	—
403	#117×C₃₇	C₂³	1	8	yes	—
404	#117×C₃₇	C₂³	1	8	yes	—
405	#117×C₃₇	C₂³	1	8	yes	—
406	#117×C₃₇	C₂³	1	4	yes	—
407	#117×C₃₇	C₂³	1	4	yes	—
408	#117×C₃₇	C₂³	1	2	yes	—
409	#117×C₃₇	C₂³	1	2	yes	—
410	#117×C₃₇	C₂³	1	8	yes	—
411	#117×C₃₇	C₂³	1	2	yes	—
412	#117×C₃₇	C₂³	1	4	yes	—
413	#117×C₃₇	C₂³	1	4	yes	—
414	#117×C₃₇	C₂³	1	4	yes	—
415	#117×C₃₇	C₂³	1	4	yes	—
416	#117×C₃₇	C₂³	1	4	yes	—
417	#117×C₃₇	C₂³	1	4	yes	—
418	#117×C₃₇	C₂³	1	4	yes	—
419	#117×C₃₇	C₂³	1	2	yes	—
420	#117×C₃₇	C₂³	1	2	yes	—
421	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
424	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
425	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
426	C₂×C₄⋊C₄×C₃₇	C₂³	1	8	yes	—
427	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
428	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
429	C₂×C₄⋊C₄×C₃₇	C₂³	1	8	yes	—
430	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
431	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
432	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
433	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
434	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
435	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
436	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
437	C₂×C₄⋊C₄×C₃₇	C₂³	1	8	yes	—
438	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
439	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
440	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
441	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
442	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
443	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
444	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
445	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
446	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
447	C₂×C₂²⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
449	C₂×C₂²⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
450	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
451	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
452	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
453	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
454	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
455	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
456	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
457	C₂⁴×C₃₇	C₂⁴	1	1	yes	characteristic
458	#41×C₃₇	—	2	8	no	—
459	#41×C₃₇	—	4	8	no	—
460	#41×C₃₇	—	4	8	no	—
461	C₂×Q₈×C₃₇	—	2	4	no	—
462	C₂×Q₈×C₃₇	—	4	8	no	—
463	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
464	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
465	C₂×Q₈×C₃₇	C₂⁴	1	8	yes	—
466	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
467	C₂×Q₈×C₃₇	C₂⁴	1	8	yes	—
468	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
469	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
470	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
471	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
472	C₂×D₄×C₃₇	—	4	2	no	—
473	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
474	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
475	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
476	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
477	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
478	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
479	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
480	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
481	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₃₇	—	2	4	no	—
483	C₂²×C₄×C₃₇	—	2	4	no	—
484	C₂²×C₄×C₃₇	—	4	4	no	—
485	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
487	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
497	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
498	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
499	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
500	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
501	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
503	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
504	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
508	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
509	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
510	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
511	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
512	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
513	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
514	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
515	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
516	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
517	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
518	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
519	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
520	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
522	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
523	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
524	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
525	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
526	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
527	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
528	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
529	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
530	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
531	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
532	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
533	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
534	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
535	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
536	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
537	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
538	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
539	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
540	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
541	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
542	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
543	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
544	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
545	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
546	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
547	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
548	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
549	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
550	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
551	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
552	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
553	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
554	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
555	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
556	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
557	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
558	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
559	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
560	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
561	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
562	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
563	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
564	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
565	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
567	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
568	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
569	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
570	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
571	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
572	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
573	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
574	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
575	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
576	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
577	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
578	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
579	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
580	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
581	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
582	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
583	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
584	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
585	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
586	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
587	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
588	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
589	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
590	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
591	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
592	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
593	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
594	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
595	C₄²×C₃₇	C₂⁴	1	4	yes	—
596	C₄²×C₃₇	C₂⁴	1	2	yes	—
597	C₄²×C₃₇	C₂⁴	1	4	yes	—
598	C₄²×C₃₇	C₂⁴	1	4	yes	—
599	C₄²×C₃₇	C₂⁴	1	4	yes	—
600	C₄²×C₃₇	C₂⁴	1	4	yes	—
601	C₄²×C₃₇	C₂⁴	1	4	yes	—
602	C₄²×C₃₇	C₂⁴	1	4	yes	—
603	C₄²×C₃₇	C₂⁴	1	4	yes	—
604	C₄²×C₃₇	C₂⁴	1	2	yes	—
605	C₄²×C₃₇	C₂⁴	1	4	yes	—
606	C₄²×C₃₇	C₂⁴	1	4	yes	—
607	C₄²×C₃₇	C₂⁴	1	4	yes	—
608	C₄²×C₃₇	C₂⁴	1	4	yes	—
609	C₄²×C₃₇	C₂⁴	1	4	yes	—
610	C₄²×C₃₇	C₂⁴	1	8	yes	—
611	C₄²×C₃₇	C₂⁴	1	8	yes	—
612	C₄²×C₃₇	C₂⁴	1	8	yes	—
613	C₄²×C₃₇	C₂⁴	1	8	yes	—
614	C₂³×C₃₇	—	2	2	no	—
615	C₂³×C₃₇	—	2	2	no	—
616	C₂³×C₃₇	—	2	2	no	—
617	C₂³×C₃₇	—	4	1	no	—
618	C₂³×C₃₇	—	4	1	no	—
619	C₂³×C₃₇	—	4	1	no	—
620	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
621	C₂³×C₃₇	C₂⁵	1	2	yes	—
622	C₂³×C₃₇	C₂⁵	1	4	yes	—
623	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
624	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
625	Q₈×C₃₇	—	2	8	no	—
626	Q₈×C₃₇	—	2	4	no	—
627	Q₈×C₃₇	—	4	8	no	—
628	Q₈×C₃₇	—	4	4	no	—
629	Q₈×C₃₇	—	4	4	no	—
630	Q₈×C₃₇	—	4	4	no	—
631	Q₈×C₃₇	—	4	8	no	—
632	Q₈×C₃₇	—	4	4	no	—
633	Q₈×C₃₇	—	4	4	no	—
634	D₄×C₃₇	—	2	8	no	—
635	D₄×C₃₇	—	2	4	no	—
636	D₄×C₃₇	—	2	8	no	—
637	D₄×C₃₇	—	2	4	no	—
638	D₄×C₃₇	—	4	2	no	—
639	D₄×C₃₇	—	4	4	no	—
640	D₄×C₃₇	—	4	4	no	—
641	D₄×C₃₇	—	4	4	no	—
642	D₄×C₃₇	—	4	4	no	—
643	C₂×C₄×C₃₇	—	2	2	no	—
644	C₂×C₄×C₃₇	—	2	2	no	—
645	C₂×C₄×C₃₇	—	2	4	no	—
646	C₂×C₄×C₃₇	—	2	8	no	—
647	C₂×C₄×C₃₇	—	2	8	no	—
648	C₂×C₄×C₃₇	—	2	4	no	—
649	C₂×C₄×C₃₇	—	2	4	no	—
650	C₂×C₄×C₃₇	—	2	4	no	—
651	C₂×C₄×C₃₇	—	2	4	no	—
652	C₂×C₄×C₃₇	—	2	8	no	—
653	C₂×C₄×C₃₇	—	4	2	no	—
654	C₂×C₄×C₃₇	—	4	4	no	—
655	C₂×C₄×C₃₇	—	4	2	no	—
656	C₂×C₄×C₃₇	—	4	4	no	—
657	C₂×C₄×C₃₇	—	4	1	no	—
658	C₂×C₄×C₃₇	—	4	4	no	—
659	C₂×C₄×C₃₇	—	4	8	no	—
660	C₂×C₄×C₃₇	—	4	2	no	—
661	C₂×C₄×C₃₇	—	4	4	no	—
662	C₂×C₄×C₃₇	—	4	1	no	—
663	C₂×C₄×C₃₇	—	4	8	no	—
664	C₂×C₄×C₃₇	—	4	4	no	—
665	C₂×C₄×C₃₇	—	4	4	no	—
666	C₂×C₄×C₃₇	2₋¹⁺⁴	1	4	yes	—
667	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
668	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
669	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
670	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
671	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
672	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
673	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
674	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
675	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
676	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
677	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
678	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
679	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
680	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
681	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
682	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
683	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
684	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
685	#62928	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
686	C₂²×C₃₇	—	2	1	no	—
687	C₂²×C₃₇	—	2	1	no	—
688	C₂²×C₃₇	—	2	1	no	—
689	C₂²×C₃₇	—	2	1	no	—
690	C₂²×C₃₇	—	2	1	no	—
691	C₂²×C₃₇	—	2	2	no	—
692	C₂²×C₃₇	—	2	4	no	—
693	C₂²×C₃₇	—	2	1	no	—
694	C₂²×C₃₇	—	2	4	no	—
695	C₂²×C₃₇	—	2	2	no	—
696	C₂²×C₃₇	—	2	4	no	—
697	C₂²×C₃₇	—	2	2	no	—
698	C₂²×C₃₇	—	2	1	no	—
699	C₂²×C₃₇	—	4	4	no	—
700	C₂²×C₃₇	—	8	2	no	—
701	C₂²×C₃₇	C₂×2₋¹⁺⁴	1	2	yes	—
702	C₂²×C₃₇	#585	1	2	yes	—
703	C₂²×C₃₇	C₂⁶	1	1	yes	characteristic
704	C₄×C₃₇	—	2	1	no	—
705	C₄×C₃₇	—	2	1	no	—
706	C₄×C₃₇	—	2	2	no	—
707	C₄×C₃₇	—	2	4	no	—
708	C₄×C₃₇	—	2	4	no	—
709	C₄×C₃₇	—	2	4	no	—
710	C₄×C₃₇	—	2	4	no	—
711	C₄×C₃₇	—	2	4	no	—
712	C₄×C₃₇	—	2	4	no	—
713	C₄×C₃₇	—	2	2	no	—
714	C₄×C₃₇	—	2	4	no	—
715	C₄×C₃₇	—	2	1	no	—
716	C₄×C₃₇	—	2	4	no	—
717	C₄×C₃₇	—	2	4	no	—
718	C₄×C₃₇	—	2	4	no	—
719	C₄×C₃₇	—	2	4	no	—
720	C₄×C₃₇	—	2	1	no	—
721	C₄×C₃₇	C₂×2₋¹⁺⁴	1	4	yes	—
722	#3565	C₂×C₃₇	1	4	yes	complemented
723	#3565	C₂×C₃₇	1	4	yes	complemented
724	#3564	C₂×C₃₇	1	4	yes	complemented
725	#3563	C₂×C₃₇	1	4	yes	complemented
726	#3563	C₂×C₃₇	1	4	yes	complemented
727	#3563	C₂×C₃₇	1	4	yes	complemented
728	#3555	C₂×C₃₇	1	4	yes	complemented
729	#3544	C₂×C₃₇	1	4	yes	complemented
730	#3535	C₂×C₃₇	1	4	yes	complemented
731	#3515	C₂×C₃₇	1	4	yes	complemented
732	#3509	C₂×C₃₇	1	4	yes	complemented
733	#3504	C₂×C₃₇	1	2	yes	complemented
734	#3502	C₂×C₃₇	1	1	yes	characteristic, complemented
735	#3495	C₂×C₃₇	1	2	yes	complemented
736	#3495	C₂×C₃₇	1	2	yes	complemented
737	#3495	C₂×C₃₇	1	4	yes	complemented
738	#3493	C₂×C₃₇	1	1	yes	characteristic, complemented
739	#3492	C₂×C₃₇	1	1	yes	characteristic, complemented
740	#3475	C₂×C₃₇	1	2	yes	complemented
741	C₂×#552	C₂×C₃₇	1	1	yes	characteristic, complemented
742	#3461	C₂×C₃₇	1	1	yes	characteristic, complemented
743	#3458	C₂×C₃₇	1	1	yes	characteristic, complemented
744	C₂×#544	C₂×C₃₇	1	1	yes	characteristic, complemented
745	C₂×C₃₇	—	2	2	no	—
746	C₂×C₃₇	—	2	2	no	—
747	C₂×C₃₇	—	4	4	no	—
748	C₂×C₃₇	—	4	1	no	—
749	C₂×C₃₇	—	4	2	no	—
750	C₂×C₃₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
751	C₂×C₃₇	C₂×#585	1	1	yes	characteristic
752	C₂×C₃₇	2₋¹⁺⁶	1	1	yes	characteristic
753	#564	C₂²×C₃₇	1	8	yes	complemented
754	#563	C₂²×C₃₇	1	8	yes	—
755	#563	C₂²×C₃₇	1	8	yes	complemented
756	#563	C₂²×C₃₇	1	8	yes	complemented
757	#563	C₂²×C₃₇	1	8	yes	complemented
758	#562	C₂²×C₃₇	1	8	yes	—
759	Q₈²	C₂²×C₃₇	1	4	yes	complemented
760	#557	C₂²×C₃₇	1	4	yes	complemented
761	#557	C₂²×C₃₇	1	4	yes	complemented
762	#557	C₂²×C₃₇	1	4	yes	complemented
763	#557	C₂²×C₃₇	1	4	yes	complemented
764	#557	C₂²×C₃₇	1	4	yes	complemented
765	#557	C₂²×C₃₇	1	8	yes	complemented
766	#556	C₂²×C₃₇	1	2	yes	—
767	#556	C₂²×C₃₇	1	4	yes	complemented
768	#556	C₂²×C₃₇	1	4	yes	complemented
769	#556	C₂²×C₃₇	1	8	yes	complemented
770	#556	C₂²×C₃₇	1	4	yes	complemented
771	#556	C₂²×C₃₇	1	8	yes	complemented
772	#555	C₂²×C₃₇	1	2	yes	—
773	#555	C₂²×C₃₇	1	4	yes	complemented
774	#554	C₂²×C₃₇	1	2	yes	—
775	#554	C₂²×C₃₇	1	8	yes	—
776	#554	C₂²×C₃₇	1	8	yes	—
777	#554	C₂²×C₃₇	1	4	yes	complemented
778	#554	C₂²×C₃₇	1	4	yes	complemented
779	#554	C₂²×C₃₇	1	4	yes	complemented
780	#554	C₂²×C₃₇	1	4	yes	complemented
781	#554	C₂²×C₃₇	1	4	yes	complemented
782	#553	C₂²×C₃₇	1	2	yes	—
783	#553	C₂²×C₃₇	1	2	yes	—
784	#553	C₂²×C₃₇	1	4	yes	complemented
785	#553	C₂²×C₃₇	1	4	yes	complemented
786	#552	C₂²×C₃₇	1	4	yes	—
787	#552	C₂²×C₃₇	1	4	yes	—
788	#552	C₂²×C₃₇	1	4	yes	—
789	#552	C₂²×C₃₇	1	4	yes	—
790	#552	C₂²×C₃₇	1	2	yes	—
791	#552	C₂²×C₃₇	1	2	yes	—
792	#552	C₂²×C₃₇	1	4	yes	—
793	#552	C₂²×C₃₇	1	8	yes	—
794	#552	C₂²×C₃₇	1	8	yes	—
795	#552	C₂²×C₃₇	1	8	yes	—
796	#552	C₂²×C₃₇	1	4	yes	complemented
797	#552	C₂²×C₃₇	1	4	yes	complemented
798	#552	C₂²×C₃₇	1	8	yes	complemented
799	#552	C₂²×C₃₇	1	4	yes	complemented
800	#552	C₂²×C₃₇	1	4	yes	complemented
801	#552	C₂²×C₃₇	1	8	yes	complemented
802	#552	C₂²×C₃₇	1	4	yes	complemented
803	#552	C₂²×C₃₇	1	4	yes	complemented
804	#552	C₂²×C₃₇	1	8	yes	complemented
805	#552	C₂²×C₃₇	1	8	yes	complemented
806	#552	C₂²×C₃₇	1	8	yes	complemented
807	#551	C₂²×C₃₇	1	4	yes	—
808	#551	C₂²×C₃₇	1	4	yes	—
809	#551	C₂²×C₃₇	1	8	yes	—
810	#551	C₂²×C₃₇	1	8	yes	—
811	#547	C₂²×C₃₇	1	2	yes	—
812	#547	C₂²×C₃₇	1	8	yes	—
813	#547	C₂²×C₃₇	1	4	yes	complemented
814	#546	C₂²×C₃₇	1	4	yes	—
815	#544	C₂²×C₃₇	1	1	yes	characteristic
816	#544	C₂²×C₃₇	1	1	yes	characteristic
817	#544	C₂²×C₃₇	1	2	yes	—
818	#544	C₂²×C₃₇	1	4	yes	—
819	#544	C₂²×C₃₇	1	1	yes	characteristic
820	#544	C₂²×C₃₇	1	2	yes	—
821	#544	C₂²×C₃₇	1	4	yes	—
822	#544	C₂²×C₃₇	1	4	yes	complemented
823	#544	C₂²×C₃₇	1	4	yes	complemented
824	#544	C₂²×C₃₇	1	4	yes	complemented
825	#544	C₂²×C₃₇	1	4	yes	complemented
826	#544	C₂²×C₃₇	1	4	yes	complemented
827	#544	C₂²×C₃₇	1	4	yes	complemented
828	#544	C₂²×C₃₇	1	4	yes	complemented
829	#544	C₂²×C₃₇	1	8	yes	complemented
830	#543	C₂²×C₃₇	1	4	yes	—
831	#542	C₂²×C₃₇	1	8	yes	—
832	#542	C₂²×C₃₇	1	4	yes	complemented
833	#542	C₂²×C₃₇	1	4	yes	complemented
834	#542	C₂²×C₃₇	1	4	yes	complemented
835	#542	C₂²×C₃₇	1	4	yes	complemented
836	#542	C₂²×C₃₇	1	4	yes	complemented
837	#542	C₂²×C₃₇	1	8	yes	complemented
838	#541	C₂²×C₃₇	1	4	yes	complemented
839	#541	C₂²×C₃₇	1	4	yes	complemented
840	#541	C₂²×C₃₇	1	4	yes	complemented
841	#541	C₂²×C₃₇	1	4	yes	complemented
842	#541	C₂²×C₃₇	1	4	yes	complemented
843	#541	C₂²×C₃₇	1	8	yes	complemented
844	#541	C₂²×C₃₇	1	8	yes	complemented
845	#541	C₂²×C₃₇	1	8	yes	complemented
846	#541	C₂²×C₃₇	1	8	yes	complemented
847	#541	C₂²×C₃₇	1	8	yes	complemented
848	#539	C₂²×C₃₇	1	4	yes	—
849	#539	C₂²×C₃₇	1	4	yes	—
850	#539	C₂²×C₃₇	1	8	yes	—
851	#539	C₂²×C₃₇	1	8	yes	—
852	#539	C₂²×C₃₇	1	8	yes	complemented
853	#538	C₂²×C₃₇	1	4	yes	—
854	#537	C₂²×C₃₇	1	1	yes	characteristic
855	#536	C₂²×C₃₇	1	2	yes	—
856	#536	C₂²×C₃₇	1	8	yes	—
857	#536	C₂²×C₃₇	1	4	yes	complemented
858	#533	C₂²×C₃₇	1	4	yes	—
859	#533	C₂²×C₃₇	1	2	yes	—
860	#533	C₂²×C₃₇	1	4	yes	—
861	#533	C₂²×C₃₇	1	4	yes	complemented
862	#533	C₂²×C₃₇	1	4	yes	complemented
863	#533	C₂²×C₃₇	1	4	yes	complemented
864	#533	C₂²×C₃₇	1	4	yes	complemented
865	#533	C₂²×C₃₇	1	4	yes	complemented
866	#533	C₂²×C₃₇	1	4	yes	complemented
867	C₂×C₄⋊Q₈	C₂²×C₃₇	1	4	yes	complemented
868	#529	C₂²×C₃₇	1	4	yes	—
869	#529	C₂²×C₃₇	1	4	yes	—
870	#529	C₂²×C₃₇	1	4	yes	—
871	#529	C₂²×C₃₇	1	4	yes	—
872	#529	C₂²×C₃₇	1	4	yes	—
873	#529	C₂²×C₃₇	1	4	yes	complemented
874	#529	C₂²×C₃₇	1	4	yes	complemented
875	#529	C₂²×C₃₇	1	4	yes	complemented
876	C₂×#126	C₂²×C₃₇	1	2	yes	—
877	C₂×#125	C₂²×C₃₇	1	1	yes	characteristic
878	C₂×#125	C₂²×C₃₇	1	2	yes	—
879	C₂×#125	C₂²×C₃₇	1	4	yes	complemented
880	C₂×#125	C₂²×C₃₇	1	4	yes	complemented
881	#525	C₂²×C₃₇	1	2	yes	—
882	#525	C₂²×C₃₇	1	2	yes	—
883	#525	C₂²×C₃₇	1	4	yes	—
884	C₂×#123	C₂²×C₃₇	1	2	yes	—
885	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	4	yes	—
886	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
887	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
888	#520	C₂²×C₃₇	1	2	yes	—
889	#520	C₂²×C₃₇	1	2	yes	—
890	#520	C₂²×C₃₇	1	4	yes	complemented
891	#519	C₂²×C₃₇	1	2	yes	—
892	#519	C₂²×C₃₇	1	4	yes	complemented
893	C₄×#41	C₂²×C₃₇	1	2	yes	—
894	C₄×#41	C₂²×C₃₇	1	4	yes	—
895	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
896	C₂×C₄×D₄	C₂²×C₃₇	1	1	yes	characteristic
897	C₂×#117	C₂²×C₃₇	1	2	yes	—
898	C₂×#117	C₂²×C₃₇	1	1	yes	characteristic
899	C₂×#117	C₂²×C₃₇	1	2	yes	—
900	C₂×#117	C₂²×C₃₇	1	2	yes	—
901	C₂²×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
902	C₃₇	#62928	1	1	yes	characteristic, direct product factor, Sylow
903	C₂×#41	C₂³×C₃₇	1	2	yes	—
904	C₂×#41	C₂³×C₃₇	1	4	yes	—
905	C₂×#41	C₂³×C₃₇	1	4	yes	—
906	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
907	C₂²×Q₈	C₂³×C₃₇	1	4	yes	—
908	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
912	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
913	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
914	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
915	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
916	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
917	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
918	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
919	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
920	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
921	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
922	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
923	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
924	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
925	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
926	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
927	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
928	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
929	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
930	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
931	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
932	#126	C₂³×C₃₇	1	8	yes	—
933	#126	C₂³×C₃₇	1	8	yes	—
934	#126	C₂³×C₃₇	1	4	yes	—
935	#126	C₂³×C₃₇	1	4	yes	—
936	#126	C₂³×C₃₇	1	4	yes	—
937	#126	C₂³×C₃₇	1	4	yes	—
938	#126	C₂³×C₃₇	1	4	yes	—
939	#126	C₂³×C₃₇	1	4	yes	—
940	#126	C₂³×C₃₇	1	8	yes	—
941	#126	C₂³×C₃₇	1	8	yes	—
942	#126	C₂³×C₃₇	1	8	yes	—
943	#126	C₂³×C₃₇	1	8	yes	—
944	#126	C₂³×C₃₇	1	8	yes	—
945	#126	C₂³×C₃₇	1	8	yes	—
946	#126	C₂³×C₃₇	1	8	yes	—
947	#126	C₂³×C₃₇	1	8	yes	—
948	#126	C₂³×C₃₇	1	8	yes	—
949	#126	C₂³×C₃₇	1	8	yes	—
950	#126	C₂³×C₃₇	1	8	yes	—
951	#126	C₂³×C₃₇	1	8	yes	—
952	#126	C₂³×C₃₇	1	8	yes	—
953	#125	C₂³×C₃₇	1	4	yes	—
954	#125	C₂³×C₃₇	1	8	yes	—
955	#125	C₂³×C₃₇	1	8	yes	—
956	#125	C₂³×C₃₇	1	4	yes	—
957	#125	C₂³×C₃₇	1	4	yes	—
958	#125	C₂³×C₃₇	1	2	yes	—
959	#125	C₂³×C₃₇	1	4	yes	—
960	#125	C₂³×C₃₇	1	4	yes	—
961	#125	C₂³×C₃₇	1	8	yes	—
962	#125	C₂³×C₃₇	1	8	yes	—
963	#125	C₂³×C₃₇	1	8	yes	—
964	#125	C₂³×C₃₇	1	4	yes	—
965	#125	C₂³×C₃₇	1	8	yes	—
966	#125	C₂³×C₃₇	1	4	yes	—
967	#125	C₂³×C₃₇	1	4	yes	—
968	#125	C₂³×C₃₇	1	4	yes	—
969	#125	C₂³×C₃₇	1	4	yes	—
970	#125	C₂³×C₃₇	1	4	yes	—
971	#125	C₂³×C₃₇	1	4	yes	—
972	#125	C₂³×C₃₇	1	2	yes	—
973	#125	C₂³×C₃₇	1	8	yes	—
974	#125	C₂³×C₃₇	1	8	yes	—
975	#125	C₂³×C₃₇	1	8	yes	—
976	#125	C₂³×C₃₇	1	8	yes	—
977	#125	C₂³×C₃₇	1	8	yes	—
978	#125	C₂³×C₃₇	1	4	yes	—
979	#125	C₂³×C₃₇	1	4	yes	—
980	#125	C₂³×C₃₇	1	8	yes	—
981	#125	C₂³×C₃₇	1	8	yes	—
982	#125	C₂³×C₃₇	1	8	yes	—
983	#125	C₂³×C₃₇	1	8	yes	—
984	#125	C₂³×C₃₇	1	8	yes	—
985	#125	C₂³×C₃₇	1	8	yes	—
986	#125	C₂³×C₃₇	1	8	yes	—
987	#125	C₂³×C₃₇	1	8	yes	—
988	#125	C₂³×C₃₇	1	8	yes	—
989	#124	C₂³×C₃₇	1	4	yes	—
990	#124	C₂³×C₃₇	1	4	yes	—
991	#124	C₂³×C₃₇	1	4	yes	—
992	#124	C₂³×C₃₇	1	4	yes	—
993	#124	C₂³×C₃₇	1	4	yes	—
994	#124	C₂³×C₃₇	1	4	yes	—
995	#124	C₂³×C₃₇	1	8	yes	—
996	#124	C₂³×C₃₇	1	8	yes	—
997	#124	C₂³×C₃₇	1	8	yes	—
998	#123	C₂³×C₃₇	1	8	yes	—
999	#123	C₂³×C₃₇	1	8	yes	—
1000	#123	C₂³×C₃₇	1	4	yes	—
1001	#123	C₂³×C₃₇	1	8	yes	—
1002	#123	C₂³×C₃₇	1	4	yes	—
1003	#123	C₂³×C₃₇	1	4	yes	—
1004	#123	C₂³×C₃₇	1	8	yes	—
1005	#123	C₂³×C₃₇	1	4	yes	—
1006	#123	C₂³×C₃₇	1	4	yes	—
1007	#123	C₂³×C₃₇	1	4	yes	—
1008	#123	C₂³×C₃₇	1	4	yes	—
1009	#123	C₂³×C₃₇	1	4	yes	—
1010	#123	C₂³×C₃₇	1	8	yes	—
1011	#123	C₂³×C₃₇	1	8	yes	—
1012	#123	C₂³×C₃₇	1	8	yes	—
1013	#123	C₂³×C₃₇	1	8	yes	—
1014	#123	C₂³×C₃₇	1	8	yes	—
1015	#123	C₂³×C₃₇	1	8	yes	—
1016	#123	C₂³×C₃₇	1	8	yes	—
1017	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1018	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1019	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1020	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1021	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1022	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1023	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1024	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1025	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1026	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1027	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1028	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
1029	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
1030	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
1031	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
1032	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1033	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1034	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1035	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1036	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1037	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1038	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1039	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1040	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1041	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1042	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1043	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1044	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1045	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
1046	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1047	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1048	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1049	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1050	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1051	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1052	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1053	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
1058	#121	C₂³×C₃₇	1	4	yes	—
1059	#121	C₂³×C₃₇	1	2	yes	—
1060	#121	C₂³×C₃₇	1	2	yes	—
1061	#121	C₂³×C₃₇	1	2	yes	—
1062	#121	C₂³×C₃₇	1	2	yes	—
1063	#121	C₂³×C₃₇	1	4	yes	—
1064	#121	C₂³×C₃₇	1	4	yes	—
1065	#121	C₂³×C₃₇	1	4	yes	—
1066	#121	C₂³×C₃₇	1	4	yes	—
1067	#121	C₂³×C₃₇	1	4	yes	—
1068	#121	C₂³×C₃₇	1	8	yes	—
1069	#120	C₂³×C₃₇	1	4	yes	—
1070	#120	C₂³×C₃₇	1	4	yes	—
1071	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1072	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1073	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1074	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
1075	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1076	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
1077	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1078	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1079	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1080	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1081	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1082	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1083	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1084	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1085	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1086	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1087	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1088	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1089	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1090	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1091	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
1092	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1093	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1094	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1095	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
1096	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1097	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1098	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1099	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1100	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1101	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1102	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1103	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1104	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1105	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1106	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1107	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1108	C₄×D₄	C₂³×C₃₇	1	2	yes	—
1109	C₄×D₄	C₂³×C₃₇	1	8	yes	—
1110	C₄×D₄	C₂³×C₃₇	1	8	yes	—
1111	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1112	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1113	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1114	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1115	C₄×D₄	C₂³×C₃₇	1	8	yes	—
1116	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1117	C₄×D₄	C₂³×C₃₇	1	4	yes	—
1118	C₄×D₄	C₂³×C₃₇	1	8	yes	—
1119	C₄×D₄	C₂³×C₃₇	1	8	yes	—
1120	#117	C₂³×C₃₇	1	2	yes	—
1121	#117	C₂³×C₃₇	1	2	yes	—
1122	#117	C₂³×C₃₇	1	2	yes	—
1123	#117	C₂³×C₃₇	1	4	yes	—
1124	#117	C₂³×C₃₇	1	4	yes	—
1125	#117	C₂³×C₃₇	1	4	yes	—
1126	#117	C₂³×C₃₇	1	4	yes	—
1127	#117	C₂³×C₃₇	1	4	yes	—
1128	#117	C₂³×C₃₇	1	2	yes	—
1129	#117	C₂³×C₃₇	1	2	yes	—
1130	#117	C₂³×C₃₇	1	4	yes	—
1131	#117	C₂³×C₃₇	1	4	yes	—
1132	#117	C₂³×C₃₇	1	4	yes	—
1133	#117	C₂³×C₃₇	1	4	yes	—
1134	#117	C₂³×C₃₇	1	4	yes	—
1135	#117	C₂³×C₃₇	1	2	yes	—
1136	#117	C₂³×C₃₇	1	2	yes	—
1137	#117	C₂³×C₃₇	1	4	yes	—
1138	#117	C₂³×C₃₇	1	4	yes	—
1139	#117	C₂³×C₃₇	1	4	yes	—
1140	#117	C₂³×C₃₇	1	4	yes	—
1141	#117	C₂³×C₃₇	1	8	yes	—
1142	#117	C₂³×C₃₇	1	4	yes	—
1143	#117	C₂³×C₃₇	1	8	yes	—
1144	#117	C₂³×C₃₇	1	4	yes	—
1145	#117	C₂³×C₃₇	1	4	yes	—
1146	#117	C₂³×C₃₇	1	8	yes	—
1147	#117	C₂³×C₃₇	1	8	yes	—
1148	#117	C₂³×C₃₇	1	8	yes	—
1149	#117	C₂³×C₃₇	1	8	yes	—
1150	#117	C₂³×C₃₇	1	8	yes	—
1151	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1154	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
1155	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
1156	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1158	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1159	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1160	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1161	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1162	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1163	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1164	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1165	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
1166	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
1167	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
1168	C₂×C₄⋊C₄	C₂³×C₃₇	1	8	yes	—
1169	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1170	C₂×C₄⋊C₄	C₂³×C₃₇	1	8	yes	—
1171	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
1172	C₂×C₄⋊C₄	C₂³×C₃₇	1	8	yes	—
1173	C₂×C₂²⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
1175	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
1176	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
1177	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
1178	C₂×C₂²⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
1180	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
1181	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
1182	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
1183	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
1184	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
1185	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
1186	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
1187	C₂⁴	C₂⁴×C₃₇	1	1	yes	characteristic
1188	#41	—	2	8	no	—
1189	#41	—	4	8	no	—
1190	#41	—	4	8	no	—
1191	C₂×Q₈	—	2	4	no	—
1192	C₂×Q₈	—	4	8	no	—
1193	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1194	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
1195	C₂×Q₈	C₂⁴×C₃₇	1	8	yes	—
1196	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1197	C₂×Q₈	C₂⁴×C₃₇	1	8	yes	—
1198	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1199	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1200	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1201	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
1202	C₂×D₄	—	4	2	no	—
1203	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1204	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
1205	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1206	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
1207	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1208	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1209	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1210	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
1211	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
1212	C₂²×C₄	—	2	4	no	—
1213	C₂²×C₄	—	2	4	no	—
1214	C₂²×C₄	—	4	4	no	—
1215	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1217	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1218	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1219	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1220	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1221	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1223	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1224	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1225	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1227	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1228	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1229	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1230	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1231	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1233	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1234	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1235	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
1236	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
1237	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
1238	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1239	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1240	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1241	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1242	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1243	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1244	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1245	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1246	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1247	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1248	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1249	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1250	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1251	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1252	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1253	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1254	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1255	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1256	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1257	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1258	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1259	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1260	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1261	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1262	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1263	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1264	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1265	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1266	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1267	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1268	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1269	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1270	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1271	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1272	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1273	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1274	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1275	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1276	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1277	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1278	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1279	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1280	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1281	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1282	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1283	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1284	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1285	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1286	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1287	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1288	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1289	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1290	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1291	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1292	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1293	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1294	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1295	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1296	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1297	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1298	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1299	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1300	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1301	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1302	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1303	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1304	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1305	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1306	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1307	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1308	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1309	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1310	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1311	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1312	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1313	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1314	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1315	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1316	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1317	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1318	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1319	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1320	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1321	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1322	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1323	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
1324	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
1325	C₄²	C₂⁴×C₃₇	1	4	yes	—
1326	C₄²	C₂⁴×C₃₇	1	2	yes	—
1327	C₄²	C₂⁴×C₃₇	1	4	yes	—
1328	C₄²	C₂⁴×C₃₇	1	4	yes	—
1329	C₄²	C₂⁴×C₃₇	1	4	yes	—
1330	C₄²	C₂⁴×C₃₇	1	4	yes	—
1331	C₄²	C₂⁴×C₃₇	1	4	yes	—
1332	C₄²	C₂⁴×C₃₇	1	4	yes	—
1333	C₄²	C₂⁴×C₃₇	1	4	yes	—
1334	C₄²	C₂⁴×C₃₇	1	2	yes	—
1335	C₄²	C₂⁴×C₃₇	1	4	yes	—
1336	C₄²	C₂⁴×C₃₇	1	4	yes	—
1337	C₄²	C₂⁴×C₃₇	1	4	yes	—
1338	C₄²	C₂⁴×C₃₇	1	4	yes	—
1339	C₄²	C₂⁴×C₃₇	1	4	yes	—
1340	C₄²	C₂⁴×C₃₇	1	8	yes	—
1341	C₄²	C₂⁴×C₃₇	1	8	yes	—
1342	C₄²	C₂⁴×C₃₇	1	8	yes	—
1343	C₄²	C₂⁴×C₃₇	1	8	yes	—
1344	C₂³	—	2	2	no	—
1345	C₂³	—	2	2	no	—
1346	C₂³	—	2	2	no	—
1347	C₂³	—	4	1	no	—
1348	C₂³	—	4	1	no	—
1349	C₂³	—	4	1	no	—
1350	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
1351	C₂³	C₂⁵×C₃₇	1	2	yes	—
1352	C₂³	C₂⁵×C₃₇	1	4	yes	—
1353	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
1354	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
1355	Q₈	—	2	8	no	—
1356	Q₈	—	2	4	no	—
1357	Q₈	—	4	8	no	—
1358	Q₈	—	4	4	no	—
1359	Q₈	—	4	4	no	—
1360	Q₈	—	4	4	no	—
1361	Q₈	—	4	4	no	—
1362	Q₈	—	4	4	no	—
1363	Q₈	—	4	8	no	—
1364	D₄	—	2	8	no	—
1365	D₄	—	2	4	no	—
1366	D₄	—	2	8	no	—
1367	D₄	—	2	4	no	—
1368	D₄	—	4	2	no	—
1369	D₄	—	4	4	no	—
1370	D₄	—	4	4	no	—
1371	D₄	—	4	4	no	—
1372	D₄	—	4	4	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	2	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	8	no	—
1377	C₂×C₄	—	2	8	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	8	no	—
1383	C₂×C₄	—	4	2	no	—
1384	C₂×C₄	—	4	4	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	4	1	no	—
1387	C₂×C₄	—	4	8	no	—
1388	C₂×C₄	—	4	4	no	—
1389	C₂×C₄	—	4	4	no	—
1390	C₂×C₄	—	4	4	no	—
1391	C₂×C₄	—	4	1	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	4	8	no	—
1394	C₂×C₄	—	4	2	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	2₋¹⁺⁴×C₃₇	1	4	yes	—
1397	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1398	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1399	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1400	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1401	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1402	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1403	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1404	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1405	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1406	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1407	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1408	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1409	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1410	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1411	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1412	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1413	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
1414	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1415	C₂²	—	2	1	no	—
1416	C₂²	—	2	1	no	—
1417	C₂²	—	2	1	no	—
1418	C₂²	—	2	1	no	—
1419	C₂²	—	2	1	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	2	1	no	—
1423	C₂²	—	2	4	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	4	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	1	no	—
1428	C₂²	—	4	4	no	—
1429	C₂²	—	8	2	no	—
1430	C₂²	C₂×2₋¹⁺⁴×C₃₇	1	2	yes	—
1431	C₂²	C₃₇×#585	1	2	yes	—
1432	C₂²	C₂⁶×C₃₇	1	1	yes	characteristic
1433	C₄	—	2	1	no	—
1434	C₄	—	2	1	no	—
1435	C₄	—	2	2	no	—
1436	C₄	—	2	4	no	—
1437	C₄	—	2	4	no	—
1438	C₄	—	2	4	no	—
1439	C₄	—	2	4	no	—
1440	C₄	—	2	4	no	—
1441	C₄	—	2	4	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	4	no	—
1444	C₄	—	2	1	no	—
1445	C₄	—	2	4	no	—
1446	C₄	—	2	4	no	—
1447	C₄	—	2	4	no	—
1448	C₄	—	2	4	no	—
1449	C₄	—	2	1	no	—
1450	C₄	C₂×2₋¹⁺⁴×C₃₇	1	4	yes	—
1451	C₂	—	2	2	no	—
1452	C₂	—	2	2	no	—
1453	C₂	—	4	1	no	—
1454	C₂	—	4	2	no	—
1455	C₂	—	4	4	no	—
1456	C₂	C₂²×2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
1457	C₂	C₂×C₃₇×#585	1	1	yes	characteristic
1458	C₂	C₃₇×2₋¹⁺⁶	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3565	C₂	semidirect
2. C₃₇×#3565	C₂	semidirect
3. C₃₇×#3564	C₂	semidirect
4. C₃₇×#3563	C₂	semidirect
5. C₃₇×#3563	C₂	semidirect
6. C₃₇×#3563	C₂	semidirect
7. C₃₇×#3555	C₂	semidirect
8. C₃₇×#3544	C₂	semidirect
9. C₃₇×#3535	C₂	semidirect
10. C₃₇×#3515	C₂	semidirect
11. C₃₇×#3509	C₂	semidirect
12. C₃₇×#3504	C₂	semidirect
13. C₃₇×#3502	C₂	semidirect
14. C₃₇×#3495	C₂	semidirect
15. C₃₇×#3495	C₂	semidirect
16. C₃₇×#3495	C₂	semidirect
17. C₃₇×#3493	C₂	semidirect
18. C₃₇×#3492	C₂	semidirect
19. C₃₇×#3475	C₂	semidirect
20. C₂×C₃₇×#552	C₂	semidirect
21. C₃₇×#3461	C₂	semidirect
22. C₃₇×#3458	C₂	semidirect
23. C₂×C₃₇×#544	C₂	semidirect
24. C₃₇×#564	C₂²	semidirect
26. C₃₇×#563	C₂²	semidirect
27. C₃₇×#563	C₂²	semidirect
28. C₃₇×#563	C₂²	semidirect
30. Q₈²×C₃₇	C₂²	semidirect
31. C₃₇×#557	C₂²	semidirect
32. C₃₇×#557	C₂²	semidirect
33. C₃₇×#557	C₂²	semidirect
34. C₃₇×#557	C₂²	semidirect
35. C₃₇×#557	C₂²	semidirect
36. C₃₇×#557	C₂²	semidirect
38. C₃₇×#556	C₂²	semidirect
39. C₃₇×#556	C₂²	semidirect
40. C₃₇×#556	C₂²	semidirect
41. C₃₇×#556	C₂²	semidirect
42. C₃₇×#556	C₂²	semidirect
44. C₃₇×#555	C₂²	semidirect
48. C₃₇×#554	C₂²	semidirect
49. C₃₇×#554	C₂²	semidirect
50. C₃₇×#554	C₂²	semidirect
51. C₃₇×#554	C₂²	semidirect
52. C₃₇×#554	C₂²	semidirect
55. C₃₇×#553	C₂²	semidirect
56. C₃₇×#553	C₂²	semidirect
67. C₃₇×#552	C₂²	semidirect
68. C₃₇×#552	C₂²	semidirect
69. C₃₇×#552	C₂²	semidirect
70. C₃₇×#552	C₂²	semidirect
71. C₃₇×#552	C₂²	semidirect
72. C₃₇×#552	C₂²	semidirect
73. C₃₇×#552	C₂²	semidirect
74. C₃₇×#552	C₂²	semidirect
75. C₃₇×#552	C₂²	semidirect
76. C₃₇×#552	C₂²	semidirect
77. C₃₇×#552	C₂²	semidirect
84. C₃₇×#547	C₂²	semidirect
93. C₃₇×#544	C₂²	semidirect
94. C₃₇×#544	C₂²	semidirect
95. C₃₇×#544	C₂²	semidirect
96. C₃₇×#544	C₂²	semidirect
97. C₃₇×#544	C₂²	semidirect
98. C₃₇×#544	C₂²	semidirect
99. C₃₇×#544	C₂²	semidirect
100. C₃₇×#544	C₂²	semidirect
103. C₃₇×#542	C₂²	semidirect
104. C₃₇×#542	C₂²	semidirect
105. C₃₇×#542	C₂²	semidirect
106. C₃₇×#542	C₂²	semidirect
107. C₃₇×#542	C₂²	semidirect
108. C₃₇×#542	C₂²	semidirect
109. C₃₇×#541	C₂²	semidirect
110. C₃₇×#541	C₂²	semidirect
111. C₃₇×#541	C₂²	semidirect
112. C₃₇×#541	C₂²	semidirect
113. C₃₇×#541	C₂²	semidirect
114. C₃₇×#541	C₂²	semidirect
115. C₃₇×#541	C₂²	semidirect
116. C₃₇×#541	C₂²	semidirect
117. C₃₇×#541	C₂²	semidirect
118. C₃₇×#541	C₂²	semidirect
123. C₃₇×#539	C₂²	semidirect
128. C₃₇×#536	C₂²	semidirect
132. C₃₇×#533	C₂²	semidirect
133. C₃₇×#533	C₂²	semidirect
134. C₃₇×#533	C₂²	semidirect
135. C₃₇×#533	C₂²	semidirect
136. C₃₇×#533	C₂²	semidirect
137. C₃₇×#533	C₂²	semidirect
138. C₂×C₄⋊Q₈×C₃₇	C₂²	semidirect
144. C₃₇×#529	C₂²	semidirect
145. C₃₇×#529	C₂²	semidirect
146. C₃₇×#529	C₂²	semidirect
150. C₂×#125×C₃₇	C₂²	semidirect
151. C₂×#125×C₃₇	C₂²	semidirect
161. C₃₇×#520	C₂²	semidirect
163. C₃₇×#519	C₂²	semidirect
685. #62928	C₃₇	direct (N × H)
722. #3565	C₂×C₃₇	semidirect
723. #3565	C₂×C₃₇	semidirect
724. #3564	C₂×C₃₇	semidirect
725. #3563	C₂×C₃₇	semidirect
726. #3563	C₂×C₃₇	semidirect
727. #3563	C₂×C₃₇	semidirect
728. #3555	C₂×C₃₇	semidirect
729. #3544	C₂×C₃₇	semidirect
730. #3535	C₂×C₃₇	semidirect
731. #3515	C₂×C₃₇	semidirect
732. #3509	C₂×C₃₇	semidirect
733. #3504	C₂×C₃₇	semidirect
734. #3502	C₂×C₃₇	semidirect
735. #3495	C₂×C₃₇	semidirect
736. #3495	C₂×C₃₇	semidirect
737. #3495	C₂×C₃₇	semidirect
738. #3493	C₂×C₃₇	semidirect
739. #3492	C₂×C₃₇	semidirect
740. #3475	C₂×C₃₇	semidirect
741. C₂×#552	C₂×C₃₇	semidirect
742. #3461	C₂×C₃₇	semidirect
743. #3458	C₂×C₃₇	semidirect
744. C₂×#544	C₂×C₃₇	semidirect
753. #564	C₂²×C₃₇	semidirect
755. #563	C₂²×C₃₇	semidirect
756. #563	C₂²×C₃₇	semidirect
757. #563	C₂²×C₃₇	semidirect
759. Q₈²	C₂²×C₃₇	semidirect
760. #557	C₂²×C₃₇	semidirect
761. #557	C₂²×C₃₇	semidirect
762. #557	C₂²×C₃₇	semidirect
763. #557	C₂²×C₃₇	semidirect
764. #557	C₂²×C₃₇	semidirect
765. #557	C₂²×C₃₇	semidirect
767. #556	C₂²×C₃₇	semidirect
768. #556	C₂²×C₃₇	semidirect
769. #556	C₂²×C₃₇	semidirect
770. #556	C₂²×C₃₇	semidirect
771. #556	C₂²×C₃₇	semidirect
773. #555	C₂²×C₃₇	semidirect
777. #554	C₂²×C₃₇	semidirect
778. #554	C₂²×C₃₇	semidirect
779. #554	C₂²×C₃₇	semidirect
780. #554	C₂²×C₃₇	semidirect
781. #554	C₂²×C₃₇	semidirect
784. #553	C₂²×C₃₇	semidirect
785. #553	C₂²×C₃₇	semidirect
796. #552	C₂²×C₃₇	semidirect
797. #552	C₂²×C₃₇	semidirect
798. #552	C₂²×C₃₇	semidirect
799. #552	C₂²×C₃₇	semidirect
800. #552	C₂²×C₃₇	semidirect
801. #552	C₂²×C₃₇	semidirect
802. #552	C₂²×C₃₇	semidirect
803. #552	C₂²×C₃₇	semidirect
804. #552	C₂²×C₃₇	semidirect
805. #552	C₂²×C₃₇	semidirect
806. #552	C₂²×C₃₇	semidirect
813. #547	C₂²×C₃₇	semidirect
822. #544	C₂²×C₃₇	semidirect
823. #544	C₂²×C₃₇	semidirect
824. #544	C₂²×C₃₇	semidirect
825. #544	C₂²×C₃₇	semidirect
826. #544	C₂²×C₃₇	semidirect
827. #544	C₂²×C₃₇	semidirect
828. #544	C₂²×C₃₇	semidirect
829. #544	C₂²×C₃₇	semidirect
832. #542	C₂²×C₃₇	semidirect
833. #542	C₂²×C₃₇	semidirect
834. #542	C₂²×C₃₇	semidirect
835. #542	C₂²×C₃₇	semidirect
836. #542	C₂²×C₃₇	semidirect
837. #542	C₂²×C₃₇	semidirect
838. #541	C₂²×C₃₇	semidirect
839. #541	C₂²×C₃₇	semidirect
840. #541	C₂²×C₃₇	semidirect
841. #541	C₂²×C₃₇	semidirect
842. #541	C₂²×C₃₇	semidirect
843. #541	C₂²×C₃₇	semidirect
844. #541	C₂²×C₃₇	semidirect
845. #541	C₂²×C₃₇	semidirect
846. #541	C₂²×C₃₇	semidirect
847. #541	C₂²×C₃₇	semidirect
852. #539	C₂²×C₃₇	semidirect
857. #536	C₂²×C₃₇	semidirect
861. #533	C₂²×C₃₇	semidirect
862. #533	C₂²×C₃₇	semidirect
863. #533	C₂²×C₃₇	semidirect
864. #533	C₂²×C₃₇	semidirect
865. #533	C₂²×C₃₇	semidirect
866. #533	C₂²×C₃₇	semidirect
867. C₂×C₄⋊Q₈	C₂²×C₃₇	semidirect
873. #529	C₂²×C₃₇	semidirect
874. #529	C₂²×C₃₇	semidirect
875. #529	C₂²×C₃₇	semidirect
879. C₂×#125	C₂²×C₃₇	semidirect
880. C₂×#125	C₂²×C₃₇	semidirect
890. #520	C₂²×C₃₇	semidirect
892. #519	C₂²×C₃₇	semidirect
902. C₃₇	#62928	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₇×#3565	2
C₃₇×#3564	2
C₃₇×#3563	2
C₃₇×#3555	2
C₃₇×#3544	2
C₃₇×#3535	2
C₃₇×#3515	2
C₃₇×#3509	2
C₃₇×#3504	2
C₃₇×#3502	2
C₃₇×#3495	2
C₃₇×#3493	2
C₃₇×#3492	2
C₃₇×#3475	2
C₂×C₃₇×#552	2
C₃₇×#3461	2
C₃₇×#3458	2
C₂×C₃₇×#544	2
#62928	37

Subgroups — C37×#62928 #22684181

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#62928 #22684181