Subgroups — #18011328

Order 4736.

502 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11924623	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#10596957	C₂	1	1	yes	maximal, characteristic, complemented
3	#14558568	C₂	1	1	yes	maximal, characteristic, complemented
4	#14558566	C₂	1	1	yes	maximal, characteristic, complemented
5	#14558565	C₂	1	1	yes	maximal, characteristic, complemented
6	#14558564	C₂	1	1	yes	maximal, characteristic, complemented
7	#14558564	C₂	1	1	yes	maximal, characteristic, complemented
8	#14558562	C₂	1	1	yes	maximal, characteristic, complemented
9	#14558560	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×#64438	C₂	1	1	yes	maximal, characteristic, complemented
11	#14558539	C₂	1	1	yes	maximal, characteristic, complemented
12	#14558506	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₂²⋊#64438	C₂	1	1	yes	maximal, characteristic, complemented
14	#14558497	C₂	1	1	yes	maximal, characteristic, complemented
15	#14558039	C₂	1	1	yes	maximal, characteristic
16	#11924623	—	2	4	no	—
17	C₂×#10596953	C₂²	1	1	yes	characteristic, complemented
18	C₂×#10596957	—	2	4	no	—
19	C₂×#10596957	C₂²	1	1	yes	characteristic
20	C₂×#10596957	C₂²	1	1	yes	characteristic
21	C₂×#10596957	C₂²	1	1	yes	characteristic
22	C₂×#10596957	C₂²	1	1	yes	characteristic
23	C₂×#10596957	C₂²	1	1	yes	characteristic, complemented
24	C₂×D₃₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
25	C₂²×#64438	C₂²	1	1	yes	characteristic
26	C₂²×#64438	C₂²	1	1	yes	characteristic
27	C₂²×#64438	C₂²	1	1	yes	characteristic
28	C₂²×#64438	C₂²	1	1	yes	characteristic
29	C₂²×#64438	C₂²	1	1	yes	characteristic, complemented
30	#11924603	C₂²	1	1	yes	characteristic, complemented
31	#11924603	C₂²	1	1	yes	characteristic, complemented
32	C₄⋊#64438	C₂²	1	1	yes	characteristic, complemented
33	C₄⋊#64438	C₂²	1	1	yes	characteristic, complemented
34	#11924593	C₂²	1	1	yes	characteristic, complemented
35	#11924593	C₂²	1	1	yes	characteristic, complemented
36	C₂²⋊#64438	C₂²	1	1	yes	characteristic
37	C₂²⋊#64438	C₂²	1	1	yes	characteristic
38	C₂²⋊#64438	C₂²	1	1	yes	characteristic
39	C₂²⋊#64438	C₂²	1	1	yes	characteristic
40	C₂²⋊#64438	C₂²	1	1	yes	characteristic, complemented
41	C₂²⋊#64438	C₂²	1	1	yes	characteristic, complemented
42	#11924591	C₂²	1	1	yes	characteristic, complemented
43	#11924591	C₂²	1	1	yes	characteristic, complemented
44	C₄×#64438	C₂²	1	1	yes	characteristic, complemented
45	C₄×#64438	C₂²	1	1	yes	characteristic, complemented
46	C₂×#10596964	C₂²	1	1	yes	characteristic
47	C₂³×Dic₃₇	C₂²	1	1	yes	characteristic
48	#11924520	C₄	1	1	yes	characteristic
49	#11924517	C₄	1	1	yes	characteristic
50	#11924513	C₄	1	1	yes	characteristic
51	#11924513	C₄	1	1	yes	characteristic
52	#11924508	C₄	1	1	yes	characteristic
53	#11924508	C₄	1	1	yes	characteristic
54	#11924505	C₄	1	1	yes	characteristic
55	D₄×Dic₃₇	C₂²	1	1	yes	characteristic
56	D₄×Dic₃₇	C₂²	1	1	yes	characteristic
57	#11924496	C₂²	1	1	yes	characteristic
58	#11924496	C₂²	1	1	yes	characteristic
59	#11924492	C₂²	1	1	yes	characteristic
60	#120×C₃₇	C₄	1	1	yes	characteristic
61	C₂⁴×C₃₇	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₃₇	C₂×C₄	1	1	yes	characteristic
63	C₂×D₄×C₃₇	C₂×C₄	1	1	yes	characteristic
64	C₂×D₄×C₃₇	C₂×C₄	1	1	yes	characteristic
65	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
68	C₂×C₂²⋊D₃₇	C₂×C₄	1	1	yes	characteristic
69	C₂²×Dic₃₇	—	2	2	no	—
70	C₂²×Dic₃₇	—	2	2	no	—
71	C₂²×Dic₃₇	C₂×C₄	1	1	yes	characteristic
72	C₂²×Dic₃₇	C₂×C₄	1	1	yes	characteristic
73	C₂²×Dic₃₇	C₂×C₄	1	1	yes	characteristic
74	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
75	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
76	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
77	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
78	#10596964	—	2	2	no	—
79	#10596964	—	2	2	no	—
80	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
81	C₂×Dic₇₄	C₂×C₄	1	1	yes	characteristic
82	#10596957	—	2	2	no	—
83	#10596957	—	2	2	no	—
84	#10596957	—	2	2	no	—
85	#10596957	—	2	2	no	—
86	#10596957	D₄	1	4	yes	complemented
87	C₂×#64438	—	2	2	no	—
88	C₂×#64438	—	2	2	no	—
89	C₂×#64438	—	2	2	no	—
90	C₂×#64438	—	2	2	no	—
91	C₂×#64438	—	2	2	no	—
92	C₂×#64438	C₂³	1	1	yes	characteristic
93	C₂×#64438	C₂³	1	1	yes	characteristic
94	C₂×#64438	C₂³	1	1	yes	characteristic
95	C₂×#64438	C₂³	1	1	yes	characteristic
96	C₂×#64438	C₂³	1	1	yes	characteristic
97	C₂×#64438	C₂³	1	1	yes	characteristic
98	C₂×#64438	C₂³	1	1	yes	characteristic
99	C₂×#64438	C₂³	1	1	yes	characteristic
100	#10596953	—	2	2	no	—
101	D₃₇⋊C₈	—	2	2	no	—
102	C₂²⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
103	C₂²⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
104	C₂²⋊C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
105	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
106	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
107	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
108	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
109	C₂²⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
110	#10596938	C₂×C₄	1	1	yes	characteristic
111	#10596938	C₂×C₄	1	1	yes	characteristic
112	C₄⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
113	C₄⋊Dic₃₇	C₂×C₄	1	1	yes	characteristic
114	#10596936	C₂×C₄	1	1	yes	characteristic
115	#10596936	C₂×C₄	1	1	yes	characteristic
116	#10596936	C₂×C₄	1	1	yes	characteristic
117	#10596936	C₂×C₄	1	1	yes	characteristic
118	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
119	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
120	C₂³×C₃₇	—	2	2	no	—
121	C₂³×C₃₇	—	2	2	no	—
122	C₂³×C₃₇	—	4	1	no	—
123	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
124	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
125	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
126	C₂³×C₃₇	C₂²×C₄	1	1	yes	characteristic
127	C₂²×D₃₇	C₂²×C₄	1	1	yes	characteristic
128	D₄×C₃₇	—	2	2	no	—
129	D₄×C₃₇	—	2	2	no	—
130	D₄×C₃₇	—	4	1	no	—
131	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
132	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
133	C₂×C₄×C₃₇	C₂²×C₄	1	1	yes	characteristic
134	C₂²⋊D₃₇	—	2	2	no	—
135	C₂²⋊D₃₇	—	2	2	no	—
136	C₂²⋊D₃₇	—	2	2	no	—
137	C₂²⋊D₃₇	—	4	1	no	—
138	C₂×Dic₃₇	—	2	2	no	—
139	C₂×Dic₃₇	—	2	2	no	—
140	C₂×Dic₃₇	—	2	2	no	—
141	C₂×Dic₃₇	—	2	1	no	—
142	C₂×Dic₃₇	—	2	1	no	—
143	C₂×Dic₃₇	—	2	1	no	—
144	C₂×Dic₃₇	—	2	1	no	—
145	C₂×Dic₃₇	—	2	1	no	—
146	C₂×Dic₃₇	—	2	1	no	—
147	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
148	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
149	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
150	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
151	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
152	C₂×Dic₃₇	C₂²×C₄	1	1	yes	characteristic
153	C₂×Dic₃₇	C₂×D₄	1	2	yes	—
154	C₂×Dic₃₇	#41	1	2	yes	—
155	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
156	C₄×D₃₇	—	2	1	no	—
157	C₄×D₃₇	—	2	1	no	—
158	Dic₇₄	—	2	2	no	—
159	#64438	—	2	1	no	—
160	#64438	—	2	1	no	—
161	#64438	—	2	1	no	—
162	#64438	—	2	1	no	—
163	#64438	—	2	1	no	—
164	#64438	—	2	1	no	—
165	#64438	C₂×D₄	1	2	yes	—
166	#64438	C₂×D₄	1	2	yes	—
167	C₂²×C₃₇	—	2	1	no	—
168	C₂²×C₃₇	—	2	1	no	—
169	C₂²×C₃₇	—	2	1	no	—
170	C₂²×C₃₇	—	2	1	no	—
171	C₂²×C₃₇	—	2	1	no	—
172	C₂²×C₃₇	—	2	1	no	—
173	C₂²×C₃₇	—	2	1	no	—
174	C₂²×C₃₇	—	2	1	no	—
175	C₂²×C₃₇	—	2	1	no	—
176	C₂²×C₃₇	—	2	1	no	—
177	C₂²×C₃₇	—	4	4	no	—
178	C₂²×C₃₇	C₄×D₄	1	2	yes	—
179	C₂²×C₃₇	#131	1	2	yes	complemented
180	C₂²×C₃₇	C₂³×C₄	1	1	yes	characteristic
181	C₂×D₃₇	—	2	1	no	—
182	C₂×D₃₇	—	2	1	no	—
183	C₂×D₃₇	—	2	1	no	—
184	C₄×C₃₇	—	2	1	no	—
185	C₄×C₃₇	—	2	1	no	—
186	C₄×C₃₇	—	2	1	no	—
187	Dic₃₇	—	2	1	no	—
188	Dic₃₇	—	2	1	no	—
189	Dic₃₇	—	2	1	no	—
190	Dic₃₇	—	2	1	no	—
191	Dic₃₇	—	2	1	no	—
192	Dic₃₇	C₄×D₄	1	2	yes	—
193	Dic₃₇	C₂²×D₄	1	1	yes	characteristic
194	Dic₃₇	C₂×#41	1	1	yes	characteristic
195	#2933	—	37	1	no	maximal, Sylow
196	C₂×C₃₇	—	2	2	no	—
197	C₂×C₃₇	—	2	2	no	—
198	C₂×C₃₇	—	4	1	no	—
199	C₂×C₃₇	—	4	1	no	—
200	C₂×C₃₇	C₂×C₄×D₄	1	1	yes	characteristic
201	C₂×C₃₇	C₂×#131	1	1	yes	characteristic
202	C₂×C₃₇	#568	1	1	yes	characteristic
203	D₃₇	—	4	1	no	—
204	C₂×#131	—	37	1	no	—
205	C₂²×M₁₆	—	37	1	no	—
206	#525	—	37	1	no	—
207	#436	—	37	1	no	—
208	#436	—	37	1	no	—
209	#435	—	37	1	no	—
210	#435	—	37	1	no	—
211	#435	—	37	1	no	—
212	#435	—	37	1	no	—
213	C₈×D₄	—	37	1	no	—
214	C₈×D₄	—	37	1	no	—
215	#424	—	37	1	no	—
216	#408	—	37	1	no	—
217	C₂×C₂²⋊C₈	—	37	1	no	—
218	#405	—	37	1	no	—
219	C₃₇	#2933	1	1	yes	characteristic, complemented, Sylow
220	C₂×#41	—	37	1	no	—
221	C₂³×C₄	—	37	1	no	—
222	#131	—	74	4	no	—
223	C₂×M₁₆	—	37	1	no	—
224	C₂×M₁₆	—	37	1	no	—
225	C₂×M₁₆	—	37	1	no	—
226	C₂×M₁₆	—	37	1	no	—
227	C₂×M₁₆	—	37	1	no	—
228	C₂×M₁₆	—	37	1	no	—
229	C₂×M₁₆	—	74	4	no	—
230	C₂²×C₈	—	37	1	no	—
231	C₂²×C₈	—	37	1	no	—
232	C₂²×C₈	—	37	1	no	—
233	C₂²×C₈	—	37	1	no	—
234	C₂²×C₈	—	37	1	no	—
235	C₂²×C₈	—	37	1	no	—
236	#123	—	37	1	no	—
237	#123	—	37	1	no	—
238	C₂²⋊Q₈	—	37	1	no	—
239	C₂²⋊Q₈	—	37	1	no	—
240	#121	—	37	1	no	—
241	#121	—	37	1	no	—
242	#120	—	37	1	no	—
243	#120	#3866	1	1	yes	characteristic
244	C₄×D₄	—	37	1	no	—
245	C₄×D₄	—	37	1	no	—
246	C₄×D₄	—	37	1	no	—
247	C₄×D₄	—	37	1	no	—
248	#117	—	37	1	no	—
249	C₄⋊C₈	—	37	1	no	—
250	C₄⋊C₈	—	37	1	no	—
251	C₄⋊C₈	—	37	1	no	—
252	C₄⋊C₈	—	37	1	no	—
253	C₂²⋊C₈	—	37	1	no	—
254	C₂²⋊C₈	—	37	1	no	—
255	C₂²⋊C₈	—	37	1	no	—
256	C₂²⋊C₈	—	37	1	no	—
257	C₂²⋊C₈	—	37	1	no	—
258	C₂²⋊C₈	—	37	1	no	—
259	C₂²⋊C₈	—	37	1	no	—
260	C₂²⋊C₈	—	37	1	no	—
261	#97	—	37	1	no	—
262	#97	—	37	1	no	—
263	C₄×C₈	—	37	1	no	—
264	C₄×C₈	—	37	1	no	—
265	C₂⁴	C₂×#3866	1	1	yes	characteristic
266	#41	—	74	2	no	—
267	#41	—	74	2	no	—
268	C₂×Q₈	—	37	1	no	—
269	C₂×D₄	—	37	1	no	—
270	C₂×D₄	—	37	1	no	—
271	C₂×D₄	—	37	1	no	—
272	C₂×D₄	—	37	1	no	—
273	C₂×D₄	C₂×#3866	1	1	yes	characteristic
274	C₂×D₄	C₂×#3866	1	1	yes	characteristic
275	C₂×D₄	C₂×#3866	1	1	yes	characteristic
276	C₂²×C₄	—	37	1	no	—
277	C₂²×C₄	—	37	1	no	—
278	C₂²×C₄	—	37	1	no	—
279	C₂²×C₄	—	37	1	no	—
280	C₂²×C₄	—	37	1	no	—
281	C₂²×C₄	—	37	1	no	—
282	C₂²×C₄	—	37	1	no	—
283	C₂²×C₄	—	37	1	no	—
284	C₂²×C₄	—	74	2	no	—
285	C₂²×C₄	—	74	2	no	—
286	M₁₆	—	37	4	no	—
287	M₁₆	—	74	2	no	—
288	M₁₆	—	74	2	no	—
289	M₁₆	—	74	2	no	—
290	M₁₆	—	74	2	no	—
291	M₁₆	—	74	2	no	—
292	C₂×C₈	—	37	1	no	—
293	C₂×C₈	—	37	1	no	—
294	C₂×C₈	—	37	1	no	—
295	C₂×C₈	—	37	1	no	—
296	C₂×C₈	—	37	1	no	—
297	C₂×C₈	—	37	1	no	—
298	C₂×C₈	—	37	1	no	—
299	C₂×C₈	—	37	1	no	—
300	C₂×C₈	—	74	2	no	—
301	C₂×C₈	—	74	2	no	—
302	C₂×C₈	—	74	2	no	—
303	C₂×C₈	—	74	2	no	—
304	C₂×C₈	—	74	2	no	—
305	C₂×C₈	—	74	2	no	—
306	C₄⋊C₄	—	37	1	no	—
307	C₄⋊C₄	—	37	1	no	—
308	C₄⋊C₄	—	37	1	no	—
309	C₄⋊C₄	—	37	1	no	—
310	C₄⋊C₄	—	37	1	no	—
311	C₄⋊C₄	—	37	1	no	—
312	C₂²⋊C₄	—	37	1	no	—
313	C₂²⋊C₄	—	37	1	no	—
314	C₂²⋊C₄	—	37	1	no	—
315	C₂²⋊C₄	—	37	1	no	—
316	C₂²⋊C₄	—	37	1	no	—
317	C₂²⋊C₄	—	37	1	no	—
318	C₂²⋊C₄	—	37	1	no	—
319	C₂²⋊C₄	C₂×#3866	1	1	yes	characteristic
320	C₂²⋊C₄	C₂×#3866	1	1	yes	characteristic
321	C₂²⋊C₄	C₂×#3866	1	1	yes	characteristic
322	C₄²	—	37	1	no	—
323	C₄²	—	37	1	no	—
324	C₂³	—	2	2	no	—
325	C₂³	—	2	2	no	—
326	C₂³	—	4	1	no	—
327	C₂³	—	37	1	no	—
328	C₂³	C₂²×#3866	1	1	yes	characteristic
329	C₂³	C₂²×#3866	1	1	yes	characteristic
330	C₂³	C₂²×#3866	1	1	yes	characteristic
331	C₂³	C₂²×#3866	1	1	yes	characteristic
332	Q₈	—	74	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	D₄	—	4	1	no	—
336	D₄	—	74	2	no	—
337	D₄	—	74	2	no	—
338	D₄	—	74	2	no	—
339	D₄	—	148	1	no	—
340	C₂×C₄	—	37	2	no	—
341	C₂×C₄	—	37	2	no	—
342	C₂×C₄	—	37	1	no	—
343	C₂×C₄	—	37	1	no	—
344	C₂×C₄	—	37	1	no	—
345	C₂×C₄	—	37	1	no	—
346	C₂×C₄	—	37	1	no	—
347	C₂×C₄	—	37	1	no	—
348	C₂×C₄	—	37	1	no	—
349	C₂×C₄	—	74	1	no	—
350	C₂×C₄	—	74	1	no	—
351	C₂×C₄	—	74	1	no	—
352	C₂×C₄	—	74	1	no	—
353	C₂×C₄	—	74	1	no	—
354	C₂×C₄	—	74	1	no	—
355	C₂×C₄	—	74	1	no	—
356	C₂×C₄	—	74	2	no	—
357	C₂×C₄	—	74	2	no	—
358	C₂×C₄	—	74	1	no	—
359	C₂×C₄	—	74	2	no	—
360	C₂×C₄	C₂²×#3866	1	1	yes	characteristic
361	C₂×C₄	C₂²×#3866	1	1	yes	characteristic
362	C₂×C₄	C₂²×#3866	1	1	yes	characteristic
363	C₈	—	37	2	no	—
364	C₈	—	37	2	no	—
365	C₈	—	74	1	no	—
366	C₈	—	74	1	no	—
367	C₈	—	74	1	no	—
368	C₈	—	74	1	no	—
369	C₈	—	74	1	no	—
370	C₈	—	74	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	4	4	no	—
382	C₂²	—	74	1	no	—
383	C₂²	—	74	1	no	—
384	C₂²	—	74	1	no	—
385	C₂²	D₄×#3866	1	2	yes	—
386	C₂²	#11924623	1	2	yes	complemented
387	C₂²	C₂³×#3866	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	37	1	no	—
392	C₄	—	37	1	no	—
393	C₄	—	37	2	no	—
394	C₄	—	74	1	no	—
395	C₄	—	74	1	no	—
396	C₄	—	74	1	no	—
397	C₄	—	74	1	no	—
398	C₄	—	74	1	no	—
399	C₂	—	2	2	no	—
400	C₂	—	2	2	no	—
401	C₂	—	4	1	no	—
402	C₂	—	4	1	no	—
403	C₂	—	148	1	no	—
404	C₂	C₂×D₄×#3866	1	1	yes	characteristic
405	C₂	C₂×#11924623	1	1	yes	characteristic
406	C₂	#14558611	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×#3866
commutator, socle	C₂²×C₃₇	C₂³×C₄
Fitting	#120×C₃₇	C₄
prime radical	#14558039	C₂
cosocle	C₂×Dic₃₇	C₂⁴
hypercenter	#120	#3866
hypocenter	C₃₇	#2933
LCS	G ▷ C₂²×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₂² ◁ #120

Complements

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

N	H ≅ G/N	type
1. C₂×#11924623	C₂	semidirect
2. C₂²×#10596957	C₂	semidirect
3. #14558568	C₂	semidirect
4. #14558566	C₂	semidirect
5. #14558565	C₂	semidirect
6. #14558564	C₂	semidirect
7. #14558564	C₂	semidirect
8. #14558562	C₂	semidirect
9. #14558560	C₂	semidirect
10. D₄×#64438	C₂	semidirect
11. #14558539	C₂	semidirect
12. #14558506	C₂	semidirect
13. C₂×C₂²⋊#64438	C₂	semidirect
14. #14558497	C₂	semidirect
17. C₂×#10596953	C₂²	semidirect
23. C₂×#10596957	C₂²	semidirect
24. C₂×D₃₇⋊C₈	C₂²	semidirect
29. C₂²×#64438	C₂²	semidirect
30. #11924603	C₂²	semidirect
31. #11924603	C₂²	semidirect
32. C₄⋊#64438	C₂²	semidirect
33. C₄⋊#64438	C₂²	semidirect
34. #11924593	C₂²	semidirect
35. #11924593	C₂²	semidirect
40. C₂²⋊#64438	C₂²	semidirect
41. C₂²⋊#64438	C₂²	semidirect
42. #11924591	C₂²	semidirect
43. #11924591	C₂²	semidirect
44. C₄×#64438	C₂²	semidirect
45. C₄×#64438	C₂²	semidirect
86. #10596957	D₄	semidirect
179. C₂²×C₃₇	#131	semidirect
219. C₃₇	#2933	semidirect
386. C₂²	#11924623	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11924623	2
C₂²×#10596957	2
#14558568	2
#14558566	2
#14558565	2
#14558564	2
#14558562	2
#14558560	2
D₄×#64438	2
#14558539	2
#14558506	2
C₂×C₂²⋊#64438	2
#14558497	2
#14558039	2
#2933	37