Subgroups — #18003401

Order 4736.

548 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11924563	C₂	1	1	yes	maximal, characteristic
2	C₄×#10596966	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×D₄×D₃₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#14557646	C₂	1	1	yes	maximal, characteristic, complemented
5	#14557643	C₂	1	1	yes	maximal, characteristic, complemented
6	#14557631	C₂	1	1	yes	maximal, characteristic, complemented
7	SD₁₆×Dic₃₇	C₂	1	1	yes	maximal, characteristic, complemented
8	#14557618	C₂	1	1	yes	maximal, characteristic, complemented
9	#14557615	C₂	1	1	yes	maximal, characteristic, complemented
10	#14557613	C₂	1	1	yes	maximal, characteristic, complemented
11	#14557574	C₂	1	1	yes	maximal, characteristic, complemented
12	#14557536	C₂	1	1	yes	maximal, characteristic, complemented
13	#14557533	C₂	1	1	yes	maximal, characteristic, complemented
14	#14557485	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10596966	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₃₇	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₃₇	—	2	1	no	—
19	#11924563	C₄	1	8	yes	complemented
20	C₂×#10596941	C₂²	1	1	yes	characteristic
21	C₂×D₂₉₆	C₂²	1	1	yes	characteristic
22	C₂×#10596939	C₂²	1	1	yes	characteristic
23	C₂×#10596929	C₂²	1	1	yes	characteristic
24	C₂×#10596929	C₂²	1	1	yes	characteristic
25	Q₈×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
26	C₄×D₁₄₈	—	2	1	no	—
27	C₄×D₁₄₈	C₂²	1	1	yes	characteristic
28	C₄×D₁₄₈	C₂²	1	1	yes	characteristic, complemented
29	D₄×Dic₃₇	C₂²	1	1	yes	characteristic
30	#11924498	—	2	1	no	—
31	#11924498	C₂²	1	1	yes	characteristic
32	#11924498	C₂²	1	1	yes	characteristic, complemented
33	C₄×C₂²⋊D₃₇	—	2	1	no	—
34	#11924496	—	2	1	no	—
35	#11924494	—	2	1	no	—
36	#11924494	C₂²	1	1	yes	characteristic
37	C₄⋊C₄×D₃₇	C₂²	1	1	yes	characteristic
38	C₂²⋊C₄×D₃₇	—	2	1	no	—
39	C₄²×D₃₇	—	2	1	no	—
40	C₄²×D₃₇	C₂²	1	1	yes	characteristic
41	#11924469	C₂²	1	1	yes	characteristic, complemented
42	#11924468	C₂²	1	1	yes	characteristic, complemented
43	#11924467	C₂²	1	1	yes	characteristic, complemented
44	#11924460	C₂²	1	1	yes	characteristic, complemented
45	#11924458	C₂²	1	1	yes	characteristic
46	#11924458	C₂²	1	1	yes	characteristic, complemented
47	#11924457	C₂²	1	1	yes	characteristic
48	#11924456	C₂²	1	1	yes	characteristic
49	#11924456	C₂²	1	1	yes	characteristic, complemented
50	#11924447	C₂²	1	1	yes	characteristic, complemented
51	C₈×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
52	C₈×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
53	C₂×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
54	C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
56	#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
57	#103×C₃₇	C₂²	1	1	yes	characteristic, complemented
58	#102×C₃₇	C₂²	1	1	yes	characteristic
59	#97×C₃₇	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₃₇	—	2	1	no	—
61	C₂×Q₈×C₃₇	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₃₇	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₃₇	—	2	1	no	—
64	C₂×C₂²⋊D₃₇	—	2	1	no	—
65	C₂²×Dic₃₇	—	2	1	no	—
66	#10596966	—	2	2	no	—
67	#10596966	C₂×C₄	1	4	yes	complemented
68	D₄×D₃₇	—	2	2	no	—
69	D₄×D₃₇	C₂×C₄	1	4	yes	complemented
70	C₂×D₁₄₈	—	2	1	no	—
71	C₂×D₁₄₈	C₂³	1	1	yes	characteristic
72	C₂×D₁₄₈	C₂³	1	1	yes	characteristic
73	C₂×C₄×D₃₇	—	2	1	no	—
74	C₂×C₄×D₃₇	—	2	1	no	—
75	C₂×C₄×D₃₇	—	2	1	no	—
76	C₂×C₄×D₃₇	—	2	1	no	—
77	C₂×C₄×D₃₇	—	2	1	no	—
78	C₂×C₄×D₃₇	—	2	1	no	—
79	C₂×C₄×D₃₇	—	4	4	no	—
80	C₂×C₄×D₃₇	D₄	1	1	yes	characteristic
81	C₂×C₄×D₃₇	D₄	1	1	yes	characteristic
82	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
83	SD₁₆×C₃₇	C₂×C₄	1	4	yes	complemented
84	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₃₇	C₂³	1	1	yes	characteristic
86	C₄⋊C₄×C₃₇	—	2	1	no	—
87	C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
89	C₂²⋊C₄×C₃₇	—	2	1	no	—
90	C₄²×C₃₇	—	2	1	no	—
91	C₄²×C₃₇	C₂³	1	1	yes	characteristic
92	C₂²⋊Dic₃₇	—	2	1	no	—
93	#10596941	C₂×C₄	1	4	yes	complemented
94	#10596939	C₂×C₄	1	4	yes	complemented
95	#10596938	—	2	1	no	—
96	#10596938	—	2	1	no	—
97	#10596938	—	2	1	no	—
98	#10596938	—	2	1	no	—
99	#10596938	—	2	1	no	—
100	C₄⋊Dic₃₇	—	2	1	no	—
101	C₄⋊Dic₃₇	C₂³	1	1	yes	characteristic
102	C₄⋊Dic₃₇	C₂³	1	1	yes	characteristic
103	#10596936	—	2	1	no	—
104	C₄×Dic₃₇	—	2	1	no	—
105	C₄×Dic₃₇	—	2	1	no	—
106	C₄×Dic₃₇	D₄	1	1	yes	characteristic
107	C₄×Dic₃₇	D₄	1	1	yes	characteristic
108	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
109	C₂×#64436	C₂³	1	1	yes	characteristic
110	C₂×#64436	C₂³	1	1	yes	characteristic
111	D₂₉₆	C₂×C₄	1	4	yes	complemented
112	#10596929	—	2	2	no	—
113	#10596929	C₂×C₄	1	4	yes	complemented
114	C₂³×C₃₇	—	2	1	no	—
115	C₂²×D₃₇	—	2	1	no	—
116	C₂²×D₃₇	—	2	1	no	—
117	C₂²×D₃₇	—	2	4	no	—
118	C₂²×D₃₇	—	4	2	no	—
119	C₂²×D₃₇	—	4	2	no	—
120	C₂²×D₃₇	C₂×D₄	1	1	yes	characteristic
121	Q₈×C₃₇	—	2	1	no	—
122	Q₈×C₃₇	C₂²×C₄	1	2	yes	complemented
123	D₄×C₃₇	—	2	1	no	—
124	D₄×C₃₇	C₂²×C₄	1	2	yes	—
125	C₂×C₄×C₃₇	—	2	1	no	—
126	C₂×C₄×C₃₇	—	2	1	no	—
127	C₂×C₄×C₃₇	—	2	1	no	—
128	C₂×C₄×C₃₇	—	4	2	no	—
129	C₂×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
132	C₂²⋊D₃₇	—	2	4	no	—
133	C₂×Dic₃₇	—	2	1	no	—
134	C₂×Dic₃₇	—	2	1	no	—
135	C₂×Dic₃₇	—	4	2	no	—
136	C₂×Dic₃₇	C₂×D₄	1	1	yes	characteristic
137	C₂×Dic₃₇	C₂×D₄	1	1	yes	characteristic
138	C₂×Dic₃₇	C₂×D₄	1	1	yes	characteristic
139	D₁₄₈	—	2	4	no	—
140	D₁₄₈	—	2	1	no	—
141	D₁₄₈	—	2	1	no	—
142	D₁₄₈	C₂²×C₄	1	2	yes	—
143	D₁₄₈	C₂²×C₄	1	2	yes	complemented
144	C₄×D₃₇	—	2	4	no	—
145	C₄×D₃₇	—	2	2	no	—
146	C₄×D₃₇	—	4	1	no	—
147	C₄×D₃₇	—	4	2	no	—
148	C₄×D₃₇	—	4	2	no	—
149	C₄×D₃₇	—	4	2	no	—
150	C₄×D₃₇	—	4	2	no	—
151	C₄×D₃₇	—	4	2	no	—
152	C₄×D₃₇	C₂²×C₄	1	2	yes	—
153	C₄×D₃₇	#41	1	2	yes	—
154	C₈×C₃₇	—	2	1	no	—
155	C₈×C₃₇	C₂²×C₄	1	2	yes	complemented
156	#64436	—	2	1	no	—
157	#64436	C₂²×C₄	1	2	yes	complemented
158	C₂²×C₃₇	—	2	2	no	—
159	C₂²×C₃₇	—	4	1	no	—
160	C₂²×C₃₇	—	4	1	no	—
161	C₂²×C₃₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×D₃₇	—	2	1	no	—
163	C₂×D₃₇	—	2	1	no	—
164	C₂×D₃₇	—	2	2	no	—
165	C₂×D₃₇	—	2	2	no	—
166	C₂×D₃₇	—	4	8	no	—
167	C₂×D₃₇	—	4	1	no	—
168	C₂×D₃₇	—	4	1	no	—
169	C₂×D₃₇	—	4	1	no	—
170	C₂×D₃₇	—	4	1	no	—
171	C₂×D₃₇	C₄×D₄	1	2	yes	—
172	C₄×C₃₇	—	2	2	no	—
173	C₄×C₃₇	—	2	1	no	—
174	C₄×C₃₇	—	2	1	no	—
175	C₄×C₃₇	—	4	1	no	—
176	C₄×C₃₇	—	4	1	no	—
177	C₄×C₃₇	C₂³×C₄	1	1	yes	characteristic
178	C₄×C₃₇	C₂×#41	1	1	yes	characteristic
179	Dic₃₇	—	2	1	no	—
180	Dic₃₇	—	4	1	no	—
181	Dic₃₇	—	4	1	no	—
182	Dic₃₇	C₄×D₄	1	2	yes	—
183	Dic₃₇	AGL(1,ℤ/8)	1	2	yes	complemented
184	C₄×AGL(1,ℤ/8)	—	37	1	no	maximal, Sylow
185	C₂×C₃₇	—	4	2	no	—
186	C₂×C₃₇	C₂×C₄×D₄	1	1	yes	characteristic
187	C₂×C₃₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
188	C₂×C₃₇	#575	1	1	yes	characteristic
189	D₃₇	—	2	2	no	—
190	D₃₇	—	4	2	no	—
191	D₃₇	—	4	2	no	—
192	C₂×AGL(1,ℤ/8)	—	37	1	no	—
193	C₄×#41	—	37	1	no	—
194	C₂×C₄×D₄	—	37	1	no	—
195	#442	—	37	1	no	—
196	#442	—	37	1	no	—
197	#440	—	37	1	no	—
198	#440	D₃₇	1	1	yes	characteristic, complemented
199	C₄×SD₁₆	—	37	1	no	—
200	C₄×SD₁₆	—	37	1	no	—
201	C₄×D₈	—	37	1	no	—
202	C₄×D₈	—	37	1	no	—
203	#428	—	37	1	no	—
204	#418	—	37	1	no	—
205	#417	—	37	1	no	—
206	C₄×M₁₆	—	37	1	no	—
207	C₃₇	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic, complemented, Sylow
208	C₂×#41	—	37	1	no	—
209	C₂²×D₄	—	37	1	no	—
210	C₂³×C₄	—	74	1	no	—
211	AGL(1,ℤ/8)	—	37	8	no	—
212	C₂×SD₁₆	—	37	1	no	—
213	C₂×SD₁₆	C₂×D₃₇	1	1	yes	characteristic
214	C₂×D₈	—	37	1	no	—
215	C₂×D₈	—	37	1	no	—
216	C₂×M₁₆	—	37	1	no	—
217	C₂×M₁₆	—	37	1	no	—
218	C₄×Q₈	—	37	1	no	—
219	C₄×Q₈	C₂×D₃₇	1	1	yes	characteristic, complemented
220	C₄×D₄	—	37	1	no	—
221	C₄×D₄	—	37	1	no	—
222	C₄×D₄	—	37	1	no	—
223	C₄×D₄	—	37	1	no	—
224	C₄×D₄	—	37	1	no	—
225	C₄×D₄	—	74	1	no	—
226	C₄×D₄	—	74	1	no	—
227	C₄×D₄	—	74	1	no	—
228	C₄×D₄	—	74	1	no	—
229	C₄×D₄	C₂×D₃₇	1	1	yes	characteristic
230	#117	—	37	1	no	—
231	#117	—	74	1	no	—
232	C₂×C₄⋊C₄	—	37	1	no	—
233	C₂×C₂²⋊C₄	—	74	1	no	—
234	C₂×C₄²	—	37	1	no	—
235	C₂×C₄²	—	74	1	no	—
236	#107	—	37	1	no	—
237	#107	C₂×D₃₇	1	1	yes	characteristic, complemented
238	#106	—	37	1	no	—
239	#106	—	37	1	no	—
240	#103	—	37	1	no	—
241	#103	C₂×D₃₇	1	1	yes	characteristic, complemented
242	#102	—	37	1	no	—
243	#102	—	37	1	no	—
244	#102	—	37	1	no	—
245	#102	—	37	1	no	—
246	#102	—	37	1	no	—
247	#102	C₂×D₃₇	1	1	yes	characteristic
248	#97	—	37	1	no	—
249	#97	C₂×D₃₇	1	1	yes	characteristic, complemented
250	C₄×C₈	—	37	1	no	—
251	C₄×C₈	—	37	1	no	—
252	C₂⁴	—	74	1	no	—
253	#41	—	37	4	no	—
254	#41	—	74	2	no	—
255	C₂×Q₈	C₂²×D₃₇	1	1	yes	characteristic
256	C₂×D₄	—	37	4	no	—
257	C₂×D₄	—	37	1	no	—
258	C₂×D₄	—	37	1	no	—
259	C₂×D₄	—	74	1	no	—
260	C₂×D₄	—	74	2	no	—
261	C₂×D₄	—	74	1	no	—
262	C₂×D₄	C₂²×D₃₇	1	1	yes	characteristic
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	37	1	no	—
265	C₂²×C₄	—	37	1	no	—
266	C₂²×C₄	—	37	1	no	—
267	C₂²×C₄	—	74	1	no	—
268	C₂²×C₄	—	74	1	no	—
269	C₂²×C₄	—	74	1	no	—
270	C₂²×C₄	—	74	1	no	—
271	C₂²×C₄	—	74	1	no	—
272	C₂²×C₄	—	74	1	no	—
273	C₂²×C₄	—	74	1	no	—
274	C₂²×C₄	—	148	4	no	—
275	SD₁₆	—	37	4	no	—
276	SD₁₆	C₄×D₃₇	1	4	yes	complemented
277	D₈	—	37	4	no	—
278	D₈	—	37	4	no	—
279	M₁₆	—	37	4	no	—
280	M₁₆	—	74	2	no	—
281	C₂×C₈	—	37	1	no	—
282	C₂×C₈	—	37	1	no	—
283	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
284	C₂×C₈	C₂²×D₃₇	1	1	yes	characteristic
285	C₄⋊C₄	—	2	1	no	—
286	C₄⋊C₄	—	37	1	no	—
287	C₄⋊C₄	—	37	1	no	—
288	C₄⋊C₄	—	74	1	no	—
289	C₄⋊C₄	—	74	1	no	—
290	C₄⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
291	C₄⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
292	C₂²⋊C₄	—	2	1	no	—
293	C₂²⋊C₄	—	74	1	no	—
294	C₂²⋊C₄	—	74	1	no	—
295	C₂²⋊C₄	—	74	1	no	—
296	C₂²⋊C₄	—	74	1	no	—
297	C₂²⋊C₄	—	74	1	no	—
298	C₂²⋊C₄	—	74	1	no	—
299	C₄²	—	2	1	no	—
300	C₄²	—	37	1	no	—
301	C₄²	—	37	1	no	—
302	C₄²	—	37	1	no	—
303	C₄²	—	74	1	no	—
304	C₄²	—	74	1	no	—
305	C₄²	C₂²×D₃₇	1	1	yes	characteristic
306	C₂³	—	2	1	no	—
307	C₂³	—	37	1	no	—
308	C₂³	—	74	4	no	—
309	C₂³	—	74	1	no	—
310	C₂³	—	74	1	no	—
311	C₂³	—	148	2	no	—
312	C₂³	—	148	2	no	—
313	Q₈	—	2	1	no	—
314	Q₈	C₂×C₄×D₃₇	1	2	yes	complemented
315	D₄	—	2	1	no	—
316	D₄	—	37	2	no	—
317	D₄	—	37	2	no	—
318	D₄	—	74	4	no	—
319	D₄	—	74	4	no	—
320	D₄	—	74	1	no	—
321	D₄	—	74	1	no	—
322	D₄	C₂×C₄×D₃₇	1	2	yes	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	37	1	no	—
328	C₂×C₄	—	37	1	no	—
329	C₂×C₄	—	37	2	no	—
330	C₂×C₄	—	37	2	no	—
331	C₂×C₄	—	37	1	no	—
332	C₂×C₄	—	74	2	no	—
333	C₂×C₄	—	74	4	no	—
334	C₂×C₄	—	74	1	no	—
335	C₂×C₄	—	74	1	no	—
336	C₂×C₄	—	148	1	no	—
337	C₂×C₄	—	148	2	no	—
338	C₂×C₄	—	148	2	no	—
339	C₂×C₄	—	148	2	no	—
340	C₂×C₄	—	148	2	no	—
341	C₂×C₄	—	148	2	no	—
342	C₂×C₄	—	148	2	no	—
343	C₂×C₄	D₄×D₃₇	1	1	yes	characteristic
344	C₂×C₄	D₄×D₃₇	1	1	yes	characteristic
345	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
346	C₈	—	2	1	no	—
347	C₈	—	37	2	no	—
348	C₈	—	74	1	no	—
349	C₈	C₂×C₄×D₃₇	1	2	yes	complemented
350	C₂²	—	2	2	no	—
351	C₂²	—	4	1	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	37	2	no	—
354	C₂²	—	74	1	no	—
355	C₂²	—	74	1	no	—
356	C₂²	—	74	2	no	—
357	C₂²	—	74	2	no	—
358	C₂²	—	148	8	no	—
359	C₂²	—	148	1	no	—
360	C₂²	—	148	1	no	—
361	C₂²	—	148	1	no	—
362	C₂²	—	148	1	no	—
363	C₂²	C₂×D₄×D₃₇	1	1	yes	characteristic
364	C₄	—	2	2	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	4	1	no	—
368	C₄	—	4	1	no	—
369	C₄	—	37	2	no	—
370	C₄	—	37	2	no	—
371	C₄	—	74	1	no	—
372	C₄	—	148	1	no	—
373	C₄	—	148	1	no	—
374	C₄	C₂²×C₄×D₃₇	1	1	yes	characteristic
375	C₄	#41×D₃₇	1	1	yes	characteristic
376	C₂	—	4	2	no	—
377	C₂	—	74	2	no	—
378	C₂	—	148	2	no	—
379	C₂	—	148	2	no	—
380	C₂	C₄×D₄×D₃₇	1	1	yes	characteristic
381	C₂	AGL(1,ℤ/8)×D₃₇	1	1	yes	characteristic
382	C₂	#14558332	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₃₇
commutator	C₄×C₃₇	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₃₇
Fitting	C₃₇×#440	C₂
socle	C₂²×C₃₇	C₂²×D₄
prime radical	C₂×#11924563	C₂
cosocle	C₂×C₄×C₃₇	C₂⁴
hypercenter	#440	D₃₇
hypocenter	C₃₇	C₄×AGL(1,ℤ/8)
LCS	G ▷ C₄×C₃₇ ▷ C₂×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #440

Complements

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

N	H ≅ G/N	type
2. C₄×#10596966	C₂	semidirect
3. C₄×D₄×D₃₇	C₂	semidirect
4. #14557646	C₂	semidirect
5. #14557643	C₂	semidirect
6. #14557631	C₂	semidirect
7. SD₁₆×Dic₃₇	C₂	semidirect
8. #14557618	C₂	semidirect
9. #14557615	C₂	semidirect
10. #14557613	C₂	semidirect
11. #14557574	C₂	semidirect
12. #14557536	C₂	semidirect
13. #14557533	C₂	semidirect
14. #14557485	C₂	semidirect
15. C₃₇×#440	C₂	semidirect
19. #11924563	C₄	semidirect
25. Q₈×Dic₃₇	C₂²	semidirect
28. C₄×D₁₄₈	C₂²	semidirect
32. #11924498	C₂²	semidirect
41. #11924469	C₂²	semidirect
42. #11924468	C₂²	semidirect
43. #11924467	C₂²	semidirect
44. #11924460	C₂²	semidirect
46. #11924458	C₂²	semidirect
49. #11924456	C₂²	semidirect
50. #11924447	C₂²	semidirect
51. C₈×Dic₃₇	C₂²	semidirect
52. C₈×Dic₃₇	C₂²	semidirect
54. C₄×Q₈×C₃₇	C₂²	semidirect
56. #107×C₃₇	C₂²	semidirect
57. #103×C₃₇	C₂²	semidirect
59. #97×C₃₇	C₂²	semidirect
67. #10596966	C₂×C₄	semidirect
69. D₄×D₃₇	C₂×C₄	semidirect
83. SD₁₆×C₃₇	C₂×C₄	semidirect
93. #10596941	C₂×C₄	semidirect
94. #10596939	C₂×C₄	semidirect
111. D₂₉₆	C₂×C₄	semidirect
113. #10596929	C₂×C₄	semidirect
122. Q₈×C₃₇	C₂²×C₄	semidirect
143. D₁₄₈	C₂²×C₄	semidirect
155. C₈×C₃₇	C₂²×C₄	semidirect
157. #64436	C₂²×C₄	semidirect
183. Dic₃₇	AGL(1,ℤ/8)	semidirect
198. #440	D₃₇	semidirect
207. C₃₇	C₄×AGL(1,ℤ/8)	semidirect
219. C₄×Q₈	C₂×D₃₇	semidirect
237. #107	C₂×D₃₇	semidirect
241. #103	C₂×D₃₇	semidirect
249. #97	C₂×D₃₇	semidirect
276. SD₁₆	C₄×D₃₇	semidirect
314. Q₈	C₂×C₄×D₃₇	semidirect
349. C₈	C₂×C₄×D₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11924563	2
C₄×#10596966	2
C₄×D₄×D₃₇	2
#14557646	2
#14557643	2
#14557631	2
SD₁₆×Dic₃₇	2
#14557618	2
#14557615	2
#14557613	2
#14557574	2
#14557536	2
#14557533	2
#14557485	2
C₃₇×#440	2
C₄×AGL(1,ℤ/8)	37