Subgroups — C₂×#14558140 #18007959

Order 4736.

1004 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14558140	C₂	1	16	yes	maximal, direct product factor
2	C₂×#11924535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11924529	C₂	1	1	yes	maximal, characteristic
4	C₂×#11924529	C₂	1	1	yes	maximal, characteristic
5	C₂×#11924529	C₂	1	1	yes	maximal, characteristic
6	C₂×#11924528	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11924527	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11924526	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11924526	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11924526	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11924513	C₂	1	1	yes	maximal, characteristic
12	C₂×#11924513	C₂	1	1	yes	maximal, characteristic
13	C₂×C₄×Dic₇₄	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11924501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11924492	C₂	1	1	yes	maximal, characteristic
16	C₂×#126×C₃₇	C₂	1	1	yes	maximal, characteristic
17	C₂²×Dic₇₄	C₂²	1	1	yes	characteristic
18	C₂²×Dic₇₄	C₂²	1	1	yes	characteristic
19	C₂³×Dic₃₇	C₂²	1	1	yes	characteristic
20	#11924535	C₂²	1	8	yes	complemented
21	#11924529	C₂²	1	8	yes	—
22	#11924529	C₂²	1	8	yes	—
23	#11924529	C₂²	1	8	yes	—
24	#11924528	C₂²	1	8	yes	complemented
25	#11924527	C₂²	1	8	yes	complemented
26	#11924526	C₂²	1	8	yes	complemented
27	#11924526	C₂²	1	8	yes	complemented
28	#11924526	C₂²	1	8	yes	complemented
29	#11924513	C₂²	1	8	yes	—
30	#11924513	C₂²	1	8	yes	—
31	C₄×Dic₇₄	C₂²	1	8	yes	complemented
32	#11924501	C₂²	1	8	yes	complemented
33	#11924492	C₂²	1	8	yes	—
34	C₂×C₄⋊Dic₃₇	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊Dic₃₇	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊Dic₃₇	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊Dic₃₇	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊Dic₃₇	C₂²	1	1	yes	characteristic
39	C₂×#10596936	C₂²	1	1	yes	characteristic
40	C₂×#10596936	C₂²	1	1	yes	characteristic
41	C₂×#10596936	C₂²	1	1	yes	characteristic
42	C₂×#10596936	C₂²	1	1	yes	characteristic
43	C₂×#10596936	C₂²	1	1	yes	characteristic
44	C₂×#10596936	C₂²	1	1	yes	characteristic
45	C₂×#10596936	C₂²	1	1	yes	characteristic
46	C₂×#10596936	C₂²	1	1	yes	characteristic
47	C₂×#10596936	C₂²	1	1	yes	characteristic
48	C₂×#10596936	C₂²	1	1	yes	characteristic
49	C₂×#10596936	C₂²	1	1	yes	characteristic
50	C₂×#10596936	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Dic₃₇	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊Dic₃₇	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊Dic₃₇	C₂²	1	1	yes	characteristic
54	C₂×C₄×Dic₃₇	C₂²	1	1	yes	characteristic
55	C₂×C₄×Dic₃₇	C₂²	1	1	yes	characteristic
56	C₂×C₄×Dic₃₇	C₂²	1	1	yes	characteristic
57	C₂×C₄×Dic₃₇	C₂²	1	1	yes	characteristic
58	C₂×C₄×Dic₃₇	C₂²	1	1	yes	characteristic
59	#126×C₃₇	C₂²	1	8	yes	—
60	C₂×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
61	C₂×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
66	C₂×C₄²×C₃₇	C₂²	1	1	yes	characteristic
67	C₂⁴×C₃₇	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
70	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
72	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
73	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
74	C₂²×Dic₃₇	—	2	4	no	—
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	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
79	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
80	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
81	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
82	C₂²×Dic₃₇	C₂³	1	4	yes	—
83	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
84	C₂×Dic₇₄	—	2	4	no	—
85	C₂×Dic₇₄	—	2	4	no	—
86	C₂×Dic₇₄	C₂³	1	4	yes	—
87	C₂×Dic₇₄	C₂³	1	4	yes	—
88	C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
89	C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
90	C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
91	C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
92	C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
93	C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
94	C₄²×C₃₇	C₂³	1	4	yes	—
95	C₂²⋊Dic₃₇	C₂³	1	4	yes	—
96	C₂²⋊Dic₃₇	C₂³	1	4	yes	—
97	C₂²⋊Dic₃₇	C₂³	1	4	yes	—
98	C₄⋊Dic₃₇	C₂³	1	4	yes	—
99	C₄⋊Dic₃₇	C₂³	1	4	yes	—
100	C₄⋊Dic₃₇	C₂³	1	4	yes	—
101	C₄⋊Dic₃₇	C₂³	1	4	yes	—
102	C₄⋊Dic₃₇	C₂³	1	4	yes	—
103	#10596936	C₂³	1	4	yes	—
104	#10596936	C₂³	1	4	yes	—
105	#10596936	C₂³	1	4	yes	—
106	#10596936	C₂³	1	4	yes	—
107	#10596936	C₂³	1	4	yes	—
108	#10596936	C₂³	1	4	yes	—
109	#10596936	C₂³	1	4	yes	—
110	#10596936	C₂³	1	4	yes	—
111	#10596936	C₂³	1	4	yes	—
112	#10596936	C₂³	1	4	yes	—
113	#10596936	C₂³	1	4	yes	—
114	#10596936	C₂³	1	4	yes	—
115	C₄×Dic₃₇	C₂³	1	4	yes	—
116	C₄×Dic₃₇	C₂³	1	4	yes	—
117	C₄×Dic₃₇	C₂³	1	4	yes	—
118	C₄×Dic₃₇	C₂³	1	4	yes	—
119	C₄×Dic₃₇	C₂³	1	4	yes	—
120	C₂³×C₃₇	—	2	2	no	—
121	C₂³×C₃₇	—	2	2	no	—
122	C₂³×C₃₇	—	2	2	no	—
123	C₂³×C₃₇	C₂⁴	1	2	yes	—
124	C₂³×C₃₇	C₂⁴	1	1	yes	characteristic
125	C₂×C₄×C₃₇	—	2	2	no	—
126	C₂×C₄×C₃₇	—	2	2	no	—
127	C₂×C₄×C₃₇	—	2	2	no	—
128	C₂×C₄×C₃₇	—	2	2	no	—
129	C₂×C₄×C₃₇	—	2	2	no	—
130	C₂×C₄×C₃₇	—	2	2	no	—
131	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
132	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
133	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
134	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
135	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
136	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
137	C₂×Dic₃₇	—	2	2	no	—
138	C₂×Dic₃₇	—	2	2	no	—
139	C₂×Dic₃₇	—	2	2	no	—
140	C₂×Dic₃₇	—	2	2	no	—
141	C₂×Dic₃₇	—	2	2	no	—
142	C₂×Dic₃₇	—	2	2	no	—
143	C₂×Dic₃₇	—	2	2	no	—
144	C₂×Dic₃₇	—	2	8	no	—
145	C₂×Dic₃₇	#41	1	4	yes	—
146	C₂×Dic₃₇	C₂⁴	1	2	yes	—
147	C₂×Dic₃₇	C₂⁴	1	2	yes	—
148	C₂×Dic₃₇	C₂⁴	1	2	yes	—
149	C₂×Dic₃₇	C₂⁴	1	2	yes	—
150	C₂×Dic₃₇	C₂⁴	1	2	yes	—
151	C₂×Dic₃₇	C₂⁴	1	2	yes	—
152	C₂×Dic₃₇	C₂⁴	1	2	yes	—
153	C₂×Dic₃₇	C₂⁴	1	2	yes	—
154	Dic₇₄	—	2	8	no	—
155	Dic₇₄	—	2	8	no	—
156	C₂²×C₃₇	—	2	2	no	—
157	C₂²×C₃₇	—	2	2	no	—
158	C₂²×C₃₇	—	2	2	no	—
159	C₂²×C₃₇	—	4	4	no	—
160	C₂²×C₃₇	C₂×#41	1	2	yes	—
161	C₂²×C₃₇	2₋¹⁺⁴	1	2	yes	—
162	C₂²×C₃₇	2₋¹⁺⁴	1	2	yes	—
163	C₂²×C₃₇	C₂⁵	1	1	yes	characteristic
164	C₄×C₃₇	—	2	2	no	—
165	C₄×C₃₇	—	2	2	no	—
166	C₄×C₃₇	—	2	2	no	—
167	C₄×C₃₇	—	2	2	no	—
168	C₄×C₃₇	—	2	2	no	—
169	C₄×C₃₇	—	2	2	no	—
170	Dic₃₇	—	2	2	no	—
171	Dic₃₇	—	2	2	no	—
172	Dic₃₇	—	2	2	no	—
173	Dic₃₇	—	2	2	no	—
174	Dic₃₇	—	2	2	no	—
175	Dic₃₇	—	2	2	no	—
176	Dic₃₇	—	2	2	no	—
177	Dic₃₇	C₂×#41	1	4	yes	—
178	C₂×#541	—	37	1	no	maximal, Sylow
179	C₂×C₃₇	—	4	2	no	—
180	C₂×C₃₇	#541	1	4	yes	complemented
181	C₂×C₃₇	C₂²×#41	1	1	yes	characteristic
182	C₂×C₃₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
183	C₂×C₃₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
184	#541	—	37	16	no	—
185	C₂×C₄⋊Q₈	—	37	1	no	—
186	C₂×#126	—	37	1	no	—
187	C₂×#126	—	37	1	no	—
188	C₂×#126	—	37	1	no	—
189	C₂×#126	D₃₇	1	1	yes	characteristic
190	C₂×#125	—	37	1	no	—
191	C₂×#125	—	37	1	no	—
192	C₂×#125	—	37	1	no	—
193	C₂×#125	—	37	1	no	—
194	C₂×#125	—	37	1	no	—
195	C₂×C₂²⋊Q₈	—	37	1	no	—
196	C₂×C₂²⋊Q₈	—	37	1	no	—
197	C₂×C₄×Q₈	—	37	1	no	—
198	C₂×C₄×Q₈	—	37	1	no	—
199	C₂×#117	—	37	1	no	—
200	C₃₇	C₂×#541	1	1	yes	characteristic, complemented, Sylow
201	C₂²×Q₈	—	37	1	no	—
202	C₂²×Q₈	—	37	1	no	—
203	C₂³×C₄	—	37	1	no	—
204	C₄⋊Q₈	—	37	8	no	—
205	#126	—	37	8	no	—
206	#126	—	37	8	no	—
207	#126	—	37	8	no	—
208	#126	C₂×D₃₇	1	8	yes	—
209	#125	—	37	8	no	—
210	#125	—	37	8	no	—
211	#125	—	37	8	no	—
212	#125	—	37	8	no	—
213	#125	—	37	8	no	—
214	C₂²⋊Q₈	—	37	8	no	—
215	C₂²⋊Q₈	—	37	8	no	—
216	C₄×Q₈	—	37	8	no	—
217	C₄×Q₈	—	37	8	no	—
218	#117	—	37	8	no	—
219	C₂×C₄⋊C₄	—	37	1	no	—
220	C₂×C₄⋊C₄	—	37	1	no	—
221	C₂×C₄⋊C₄	—	37	1	no	—
222	C₂×C₄⋊C₄	—	37	1	no	—
223	C₂×C₄⋊C₄	—	37	1	no	—
224	C₂×C₄⋊C₄	—	37	1	no	—
225	C₂×C₄⋊C₄	—	37	1	no	—
226	C₂×C₄⋊C₄	—	37	1	no	—
227	C₂×C₄⋊C₄	—	37	1	no	—
228	C₂×C₄⋊C₄	—	37	1	no	—
229	C₂×C₄⋊C₄	—	37	1	no	—
230	C₂×C₄⋊C₄	—	37	1	no	—
231	C₂×C₄⋊C₄	—	37	1	no	—
232	C₂×C₄⋊C₄	—	37	1	no	—
233	C₂×C₄⋊C₄	—	37	1	no	—
234	C₂×C₄⋊C₄	—	37	1	no	—
235	C₂×C₄⋊C₄	—	37	1	no	—
236	C₂×C₄⋊C₄	C₂×D₃₇	1	1	yes	characteristic
237	C₂×C₄⋊C₄	C₂×D₃₇	1	1	yes	characteristic
238	C₂×C₄⋊C₄	C₂×D₃₇	1	1	yes	characteristic
239	C₂×C₂²⋊C₄	—	37	1	no	—
240	C₂×C₂²⋊C₄	—	37	1	no	—
241	C₂×C₂²⋊C₄	—	37	1	no	—
242	C₂×C₂²⋊C₄	C₂×D₃₇	1	1	yes	characteristic
243	C₂×C₂²⋊C₄	C₂×D₃₇	1	1	yes	characteristic
244	C₂×C₂²⋊C₄	C₂×D₃₇	1	1	yes	characteristic
245	C₂×C₄²	—	37	1	no	—
246	C₂×C₄²	—	37	1	no	—
247	C₂×C₄²	—	37	1	no	—
248	C₂×C₄²	—	37	1	no	—
249	C₂×C₄²	—	37	1	no	—
250	C₂×C₄²	C₂×D₃₇	1	1	yes	characteristic
251	C₂⁴	C₂²×D₃₇	1	1	yes	characteristic
252	C₂×Q₈	—	37	4	no	—
253	C₂×Q₈	—	37	4	no	—
254	C₂×Q₈	—	74	4	no	—
255	C₂×Q₈	—	74	4	no	—
256	C₂²×C₄	—	37	1	no	—
257	C₂²×C₄	—	37	4	no	—
258	C₂²×C₄	—	37	1	no	—
259	C₂²×C₄	—	37	1	no	—
260	C₂²×C₄	—	37	1	no	—
261	C₂²×C₄	—	37	1	no	—
262	C₂²×C₄	—	37	1	no	—
263	C₂²×C₄	—	37	1	no	—
264	C₂²×C₄	—	37	1	no	—
265	C₂²×C₄	—	74	4	no	—
266	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
267	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
268	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
269	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
270	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
271	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
272	C₄⋊C₄	—	37	4	no	—
273	C₄⋊C₄	—	37	4	no	—
274	C₄⋊C₄	—	37	4	no	—
275	C₄⋊C₄	—	37	4	no	—
276	C₄⋊C₄	—	37	4	no	—
277	C₄⋊C₄	—	37	4	no	—
278	C₄⋊C₄	—	37	4	no	—
279	C₄⋊C₄	—	37	4	no	—
280	C₄⋊C₄	—	37	4	no	—
281	C₄⋊C₄	—	37	4	no	—
282	C₄⋊C₄	—	37	4	no	—
283	C₄⋊C₄	—	37	4	no	—
284	C₄⋊C₄	—	37	4	no	—
285	C₄⋊C₄	—	37	4	no	—
286	C₄⋊C₄	—	37	4	no	—
287	C₄⋊C₄	—	37	4	no	—
288	C₄⋊C₄	—	37	4	no	—
289	C₄⋊C₄	C₂²×D₃₇	1	4	yes	—
290	C₄⋊C₄	C₂²×D₃₇	1	4	yes	—
291	C₄⋊C₄	C₂²×D₃₇	1	4	yes	—
292	C₂²⋊C₄	—	37	4	no	—
293	C₂²⋊C₄	—	37	4	no	—
294	C₂²⋊C₄	—	37	4	no	—
295	C₂²⋊C₄	C₂²×D₃₇	1	4	yes	—
296	C₂²⋊C₄	C₂²×D₃₇	1	4	yes	—
297	C₂²⋊C₄	C₂²×D₃₇	1	4	yes	—
298	C₄²	—	37	4	no	—
299	C₄²	—	37	4	no	—
300	C₄²	—	37	4	no	—
301	C₄²	—	37	4	no	—
302	C₄²	—	37	4	no	—
303	C₄²	C₂²×D₃₇	1	4	yes	—
304	C₂³	—	2	2	no	—
305	C₂³	—	2	2	no	—
306	C₂³	—	2	2	no	—
307	C₂³	C₂³×D₃₇	1	2	yes	—
308	C₂³	C₂³×D₃₇	1	1	yes	characteristic
309	Q₈	—	74	8	no	—
310	Q₈	—	74	8	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	37	4	no	—
318	C₂×C₄	—	37	2	no	—
319	C₂×C₄	—	37	2	no	—
320	C₂×C₄	—	37	2	no	—
321	C₂×C₄	—	37	2	no	—
322	C₂×C₄	—	37	2	no	—
323	C₂×C₄	—	37	2	no	—
324	C₂×C₄	—	37	2	no	—
325	C₂×C₄	—	37	2	no	—
326	C₂×C₄	—	74	8	no	—
327	C₂×C₄	—	74	2	no	—
328	C₂×C₄	—	74	2	no	—
329	C₂×C₄	—	74	2	no	—
330	C₂×C₄	—	74	2	no	—
331	C₂×C₄	—	74	2	no	—
332	C₂×C₄	—	74	2	no	—
333	C₂×C₄	—	74	2	no	—
334	C₂×C₄	C₂³×D₃₇	1	2	yes	—
335	C₂×C₄	C₂³×D₃₇	1	2	yes	—
336	C₂×C₄	C₂³×D₃₇	1	2	yes	—
337	C₂×C₄	C₂³×D₃₇	1	2	yes	—
338	C₂×C₄	C₂³×D₃₇	1	2	yes	—
339	C₂×C₄	C₂³×D₃₇	1	2	yes	—
340	C₂²	—	2	2	no	—
341	C₂²	—	2	2	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	4	4	no	—
344	C₂²	#41×D₃₇	1	2	yes	—
345	C₂²	#11924583	1	2	yes	—
346	C₂²	#11924583	1	2	yes	—
347	C₂²	C₂⁴×D₃₇	1	1	yes	characteristic
348	C₄	—	2	2	no	—
349	C₄	—	2	2	no	—
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	2	2	no	—
353	C₄	—	2	2	no	—
354	C₄	—	37	4	no	—
355	C₄	—	74	2	no	—
356	C₄	—	74	2	no	—
357	C₄	—	74	2	no	—
358	C₄	—	74	2	no	—
359	C₄	—	74	2	no	—
360	C₄	—	74	2	no	—
361	C₄	—	74	2	no	—
362	C₂	—	4	2	no	—
363	C₂	#14558140	1	4	yes	direct product factor
364	C₂	C₂×#41×D₃₇	1	1	yes	characteristic
365	C₂	C₂×#11924583	1	1	yes	characteristic
366	C₂	C₂×#11924583	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂³×D₃₇
commutator, cosocle	C₂²×C₃₇	C₂⁵
Frattini	C₂²	C₂⁴×D₃₇
Fitting	C₂×#126×C₃₇	C₂
socle	C₂³×C₃₇	C₂⁴
prime radical	C₂⁴×C₃₇	C₂³
hypercenter	C₂×#126	D₃₇
hypocenter	C₃₇	C₂×#541
LCS	G ▷ C₂²×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₂³ ◁ C₂×#126

Complements

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

N	H ≅ G/N	type
1. #14558140	C₂	direct (N × H)
2. C₂×#11924535	C₂	semidirect
6. C₂×#11924528	C₂	semidirect
7. C₂×#11924527	C₂	semidirect
8. C₂×#11924526	C₂	semidirect
9. C₂×#11924526	C₂	semidirect
10. C₂×#11924526	C₂	semidirect
13. C₂×C₄×Dic₇₄	C₂	semidirect
14. C₂×#11924501	C₂	semidirect
20. #11924535	C₂²	semidirect
24. #11924528	C₂²	semidirect
25. #11924527	C₂²	semidirect
26. #11924526	C₂²	semidirect
27. #11924526	C₂²	semidirect
28. #11924526	C₂²	semidirect
31. C₄×Dic₇₄	C₂²	semidirect
32. #11924501	C₂²	semidirect
180. C₂×C₃₇	#541	semidirect
200. C₃₇	C₂×#541	semidirect
363. C₂	#14558140	direct (N × H)

Maximal subgroups

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

subgroup	index
#14558140	2
C₂×#11924535	2
C₂×#11924529	2
C₂×#11924528	2
C₂×#11924527	2
C₂×#11924526	2
C₂×#11924513	2
C₂×C₄×Dic₇₄	2
C₂×#11924501	2
C₂×#11924492	2
C₂×#126×C₃₇	2
C₂×#541	37

Subgroups — C2×#14558140 #18007959

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#14558140 #18007959