Subgroups — C₂×#13113691 #15832456

Order 3328.

762 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×#6106	C₂	1	1	yes	maximal, characteristic
2	C₂×C₈×D₅₂	C₂	1	1	yes	maximal, characteristic
3	#13113691	C₂	1	8	yes	maximal, direct product factor
4	C₂×#11718071	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×Q₈⋊#1055	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718075	C₂	1	1	yes	maximal, characteristic
7	C₂×#11718046	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
10	C₂²×#6106	C₄	1	1	yes	characteristic
11	C₂²×C₈×D₁₃	—	2	1	no	—
12	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
13	C₁₃×#446	—	2	2	no	—
14	C₁₃×#446	C₂²	1	4	yes	complemented
15	C₂×C₁₃×C₄⋊C₈	—	2	1	no	—
16	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#97	—	2	1	no	—
18	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
19	C₂×#88075	C₄	1	1	yes	characteristic
20	C₂×#88060	—	2	1	no	—
21	C₄×#6106	C₄	1	4	yes	—
22	C₄×#6106	C₂²	1	4	yes	—
23	C₂×#88049	C₄	1	1	yes	characteristic
24	C₂×#88048	C₄	1	1	yes	characteristic
25	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
26	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
27	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
28	C₈×D₅₂	—	2	2	no	—
29	C₈×D₅₂	C₂²	1	4	yes	—
30	Q₈⋊#1055	C₂²	1	4	yes	complemented
31	#11718075	C₂²	1	4	yes	—
32	#11718071	C₂²	1	4	yes	complemented
33	#11718046	C₂²	1	4	yes	complemented
34	C₂²×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
35	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₄×D₁₃	—	2	1	no	—
37	C₂²×C₈×C₁₃	—	2	1	no	—
38	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
39	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
40	C₄×Q₈×C₁₃	—	2	1	no	—
41	C₄×Q₈×C₁₃	—	2	1	no	—
42	C₄×Q₈×C₁₃	C₂×C₄	1	2	yes	—
43	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
44	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
45	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₃	—	2	1	no	—
47	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
48	C₂×#6106	—	2	4	no	—
49	C₂×#6106	C₂×C₄	1	4	yes	—
50	C₂×#6103	—	2	1	no	—
51	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
52	C₂²×#1055	—	2	1	no	—
53	C₂²×#1055	—	2	1	no	—
54	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
55	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₁₃	—	2	4	no	—
57	C₂×C₈×D₁₃	—	4	4	no	—
58	C₄×D₅₂	—	2	1	no	—
59	C₄×D₅₂	—	2	1	no	—
60	C₄×D₅₂	C₂×C₄	1	2	yes	—
61	C₄×D₅₂	C₂³	1	2	yes	—
62	C₁₃×C₄⋊C₈	—	2	4	no	—
63	C₁₃×C₄⋊C₈	—	2	1	no	—
64	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
65	C₁₃×#97	—	2	4	no	—
66	C₄×C₈×C₁₃	D₄	1	2	yes	—
67	C₄×C₈×C₁₃	C₂³	1	2	yes	—
68	#88075	C₂×C₄	1	4	yes	—
69	#88060	—	2	4	no	—
70	#88049	C₂×C₄	1	4	yes	—
71	#88048	C₂×C₄	1	4	yes	—
72	C₄⋊#1055	—	2	1	no	—
73	C₄⋊#1055	C₂³	1	2	yes	—
74	C₄×#1055	—	2	1	no	—
75	C₄×#1055	C₂×C₄	1	2	yes	—
76	C₄×#1055	C₂³	1	2	yes	—
77	C₄×#1055	C₂³	1	2	yes	—
78	C₂×#1585	—	13	1	no	maximal, Sylow
79	C₂³×D₁₃	—	2	1	no	—
80	C₂×Q₈×C₁₃	—	2	1	no	—
81	C₂×Q₈×C₁₃	—	2	2	no	—
82	C₂×Q₈×C₁₃	—	2	2	no	—
83	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₁₃	—	2	1	no	—
85	C₂²×C₄×C₁₃	—	2	1	no	—
86	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
89	C₂²×Dic₁₃	—	2	1	no	—
90	C₂×D₅₂	—	2	1	no	—
91	C₂×D₅₂	—	2	2	no	—
92	C₂×D₅₂	M₁₆	1	4	yes	—
93	C₂×D₅₂	C₂²×C₄	1	2	yes	—
94	C₂×C₄×D₁₃	—	2	2	no	—
95	C₂×C₄×D₁₃	—	2	2	no	—
96	C₂×C₄×D₁₃	—	4	2	no	—
97	C₂×C₄×D₁₃	—	4	2	no	—
98	C₂×C₈×C₁₃	—	2	2	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	—	2	2	no	—
101	C₂×C₈×C₁₃	—	4	2	no	—
102	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
103	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₁₃×C₄⋊C₄	—	2	2	no	—
107	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
108	C₄²×C₁₃	—	2	2	no	—
109	C₄²×C₁₃	—	2	2	no	—
110	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
111	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₁₃	#41	1	1	yes	characteristic
113	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
114	#6106	—	2	8	no	—
115	#6103	—	2	2	no	—
116	#6103	—	2	2	no	—
117	C₄⋊Dic₁₃	—	2	1	no	—
118	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
119	C₂×#1055	—	2	4	no	—
120	C₂×#1055	—	2	2	no	—
121	C₂×#1055	—	2	2	no	—
122	C₂×#1055	—	2	2	no	—
123	C₂×#1055	—	2	2	no	—
124	C₂×#1055	—	4	2	no	—
125	C₂×#1055	C₂²×C₄	1	2	yes	—
126	C₂×#1055	C₂²×C₄	1	2	yes	—
127	C₈×D₁₃	—	4	8	no	—
128	C₂×#446	D₁₃	1	1	yes	characteristic, complemented
129	C₂×C₄×SD₁₆	—	13	1	no	—
130	C₂×C₈×D₄	—	13	1	no	—
131	#1585	—	13	8	no	—
132	C₂×#335	—	13	1	no	—
133	C₂×Q₈⋊C₈	—	13	1	no	—
134	C₂×D₄⋊C₈	—	13	1	no	—
135	C₂×#322	—	13	1	no	—
136	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
137	C₂²×D₁₃	—	2	2	no	—
138	C₂²×D₁₃	—	2	4	no	—
139	C₂²×D₁₃	—	4	2	no	—
140	C₂²×D₁₃	—	4	2	no	—
141	Q₈×C₁₃	—	2	2	no	—
142	Q₈×C₁₃	—	2	2	no	—
143	Q₈×C₁₃	—	4	2	no	—
144	C₂×C₄×C₁₃	—	2	2	no	—
145	C₂×C₄×C₁₃	—	2	2	no	—
146	C₂×C₄×C₁₃	—	2	2	no	—
147	C₂×C₄×C₁₃	—	4	2	no	—
148	C₂×C₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
153	C₂×C₄×C₁₃	#131	1	2	yes	—
154	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
155	C₂×C₄×C₁₃	#137	1	2	yes	—
156	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
157	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
159	C₂×Dic₁₃	—	2	2	no	—
160	C₂×Dic₁₃	—	4	2	no	—
161	D₅₂	—	2	2	no	—
162	D₅₂	—	2	4	no	—
163	D₅₂	C₂×M₁₆	1	4	yes	—
164	C₄×D₁₃	—	4	2	no	—
165	C₄×D₁₃	—	4	2	no	—
166	C₄×D₁₃	—	4	4	no	—
167	C₈×C₁₃	—	2	2	no	—
168	C₈×C₁₃	—	2	2	no	—
169	C₈×C₁₃	—	4	2	no	—
170	#1055	—	2	4	no	—
171	#1055	—	2	2	no	—
172	#1055	—	2	2	no	—
173	#1055	—	4	2	no	—
174	C₂²×SD₁₆	—	13	1	no	—
175	C₂³×C₈	—	26	1	no	—
176	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
177	C₂×C₄×D₄	—	13	1	no	—
178	#446	—	2	2	no	—
179	#446	C₂×D₁₃	1	4	yes	complemented
180	C₄×SD₁₆	—	13	4	no	—
181	C₄×SD₁₆	—	13	4	no	—
182	C₈×D₄	—	13	4	no	—
183	C₈×D₄	—	26	2	no	—
184	C₂×#106	—	13	1	no	—
185	C₂×C₄⋊C₈	—	2	1	no	—
186	C₂×C₄⋊C₈	—	13	1	no	—
187	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
188	C₂×#103	—	13	1	no	—
189	C₂×#102	—	13	1	no	—
190	C₂×C₂²⋊C₈	—	26	1	no	—
191	C₂×#97	—	2	1	no	—
192	C₂×C₄×C₈	—	13	1	no	—
193	C₂×C₄×C₈	—	13	1	no	—
194	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
195	#335	—	13	4	no	—
196	Q₈⋊C₈	—	13	4	no	—
197	D₄⋊C₈	—	13	4	no	—
198	#322	—	13	4	no	—
199	C₂²×C₁₃	#435	1	2	yes	—
200	C₂²×C₁₃	#440	1	2	yes	—
201	C₂²×C₁₃	#443	1	2	yes	—
202	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
203	C₂×D₁₃	—	2	4	no	—
204	C₂×D₁₃	—	4	8	no	—
205	C₂×D₁₃	—	4	2	no	—
206	C₂×D₁₃	—	4	2	no	—
207	C₄×C₁₃	—	2	1	no	—
208	C₄×C₁₃	—	2	1	no	—
209	C₄×C₁₃	—	4	2	no	—
210	C₄×C₁₃	—	4	2	no	—
211	C₄×C₁₃	#435	1	2	yes	—
212	C₄×C₁₃	#440	1	2	yes	—
213	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
214	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
215	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
216	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
217	Dic₁₃	—	4	2	no	—
218	C₂²×Q₈	C₄×D₁₃	1	1	yes	characteristic
219	C₂²×D₄	—	13	1	no	—
220	C₂³×C₄	—	26	1	no	—
221	C₂×SD₁₆	—	13	4	no	—
222	C₂×SD₁₆	—	26	4	no	—
223	C₂²×C₈	—	2	1	no	—
224	C₂²×C₈	—	13	1	no	—
225	C₂²×C₈	—	13	1	no	—
226	C₂²×C₈	—	26	1	no	—
227	C₂²×C₈	—	26	1	no	—
228	C₂²×C₈	—	26	4	no	—
229	C₂²×C₈	—	52	4	no	—
230	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
231	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
232	C₄×Q₈	—	2	1	no	—
233	C₄×Q₈	—	2	1	no	—
234	C₄×Q₈	C₄×D₁₃	1	2	yes	—
235	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
236	C₄×D₄	—	13	2	no	—
237	C₄×D₄	—	13	2	no	—
238	C₄×D₄	—	26	1	no	—
239	C₄×D₄	—	26	1	no	—
240	C₂×C₄⋊C₄	—	2	1	no	—
241	C₂×C₄⋊C₄	—	13	1	no	—
242	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
243	C₂×C₂²⋊C₄	—	26	1	no	—
244	C₂×C₄²	—	2	1	no	—
245	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
246	#106	—	13	4	no	—
247	C₄⋊C₈	—	2	4	no	—
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	—	13	2	no	—
250	C₄⋊C₈	—	26	1	no	—
251	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
252	#103	—	13	4	no	—
253	#102	—	13	4	no	—
254	C₂²⋊C₈	—	26	4	no	—
255	#97	—	2	4	no	—
256	C₄×C₈	—	13	2	no	—
257	C₄×C₈	—	13	2	no	—
258	C₄×C₈	—	13	2	no	—
259	C₄×C₈	—	26	1	no	—
260	C₄×C₈	C₂²⋊D₁₃	1	2	yes	—
261	C₄×C₈	C₂²×D₁₃	1	2	yes	—
262	C₂×C₁₃	#1585	1	4	yes	complemented
263	C₂×C₁₃	C₂×#435	1	1	yes	characteristic
264	C₂×C₁₃	C₂×#440	1	1	yes	characteristic
265	C₂×C₁₃	C₂×#443	1	1	yes	characteristic
266	D₁₃	—	4	4	no	—
267	C₂⁴	—	26	1	no	—
268	C₂×Q₈	—	2	1	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	—	2	2	no	—
271	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
272	C₂×D₄	—	13	4	no	—
273	C₂×D₄	—	13	2	no	—
274	C₂×D₄	—	26	2	no	—
275	C₂×D₄	—	26	1	no	—
276	C₂²×C₄	—	2	1	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	26	1	no	—
279	C₂²×C₄	—	26	2	no	—
280	C₂²×C₄	—	26	2	no	—
281	C₂²×C₄	—	52	2	no	—
282	C₂²×C₄	—	52	2	no	—
283	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
284	C₂²×C₄	#6127	1	1	yes	characteristic
285	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
286	SD₁₆	—	26	8	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	4	2	no	—
291	C₂×C₈	—	13	2	no	—
292	C₂×C₈	—	13	2	no	—
293	C₂×C₈	—	26	4	no	—
294	C₂×C₈	—	26	2	no	—
295	C₂×C₈	—	26	2	no	—
296	C₂×C₈	—	26	2	no	—
297	C₂×C₈	—	26	2	no	—
298	C₂×C₈	—	52	8	no	—
299	C₂×C₈	—	52	2	no	—
300	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
301	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	13	2	no	—
306	C₄⋊C₄	—	26	1	no	—
307	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
308	C₂²⋊C₄	—	26	2	no	—
309	C₂²⋊C₄	—	26	2	no	—
310	C₄²	—	2	2	no	—
311	C₄²	—	2	2	no	—
312	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
313	C₄²	#6127	1	1	yes	characteristic
314	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
315	C₄²	C₂³×D₁₃	1	1	yes	characteristic
316	C₁₃	C₂×#1585	1	1	yes	characteristic, complemented, Sylow
317	C₂³	—	26	2	no	—
318	C₂³	—	26	4	no	—
319	C₂³	—	52	2	no	—
320	C₂³	—	52	2	no	—
321	C₂³	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
322	Q₈	—	2	2	no	—
323	Q₈	—	2	2	no	—
324	Q₈	—	4	2	no	—
325	D₄	—	13	4	no	—
326	D₄	—	26	2	no	—
327	D₄	—	26	4	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	26	2	no	—
334	C₂×C₄	—	52	2	no	—
335	C₂×C₄	—	52	4	no	—
336	C₂×C₄	—	52	2	no	—
337	C₂×C₄	—	52	2	no	—
338	C₂×C₄	M₁₆×D₁₃	1	2	yes	—
339	C₂×C₄	#88161	1	2	yes	—
340	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
341	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
342	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
343	C₂×C₄	#88196	1	2	yes	—
344	C₂×C₄	#88203	1	2	yes	—
345	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
346	C₂×C₄	C₂×#6127	1	1	yes	characteristic
347	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
348	C₈	—	2	2	no	—
349	C₈	—	2	2	no	—
350	C₈	—	4	2	no	—
351	C₈	—	26	4	no	—
352	C₈	—	26	2	no	—
353	C₈	—	26	2	no	—
354	C₈	—	52	2	no	—
355	C₂²	—	26	4	no	—
356	C₂²	—	52	2	no	—
357	C₂²	—	52	8	no	—
358	C₂²	—	52	2	no	—
359	C₂²	#11718687	1	2	yes	—
360	C₂²	#11718788	1	2	yes	—
361	C₂²	#11718805	1	2	yes	—
362	C₂²	C₂×C₄×C₂²⋊D₁₃	1	1	yes	characteristic
363	C₄	—	2	1	no	—
364	C₄	—	2	1	no	—
365	C₄	—	4	2	no	—
366	C₄	—	4	2	no	—
367	C₄	—	52	2	no	—
368	C₄	#11718687	1	2	yes	—
369	C₄	#11718788	1	2	yes	—
370	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
371	C₄	C₂×#88161	1	1	yes	characteristic
372	C₄	C₂×#88196	1	1	yes	characteristic
373	C₄	C₂×#88203	1	1	yes	characteristic
374	C₂	—	52	4	no	—
375	C₂	#13113691	1	4	yes	direct product factor
376	C₂	C₂×#11718788	1	1	yes	characteristic
377	C₂	C₂×#11718687	1	1	yes	characteristic
378	C₂	C₂×#11718805	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×C₂²⋊D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₂×C₁₃×#446	C₂
socle	C₂³×C₁₃	C₄×D₄
prime radical	C₂²×D₅₂	C₂×C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	C₂×#446	D₁₃
hypocenter	C₁₃	C₂×#1585
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×C₈ ◁ C₂×#446

Complements

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

N	H ≅ G/N	type
3. #13113691	C₂	direct (N × H)
4. C₂×#11718071	C₂	semidirect
5. C₂×Q₈⋊#1055	C₂	semidirect
7. C₂×#11718046	C₂	semidirect
8. C₂×C₁₃×#446	C₂	semidirect
14. C₁₃×#446	C₂²	semidirect
30. Q₈⋊#1055	C₂²	semidirect
32. #11718071	C₂²	semidirect
33. #11718046	C₂²	semidirect
128. C₂×#446	D₁₃	semidirect
179. #446	C₂×D₁₃	semidirect
262. C₂×C₁₃	#1585	semidirect
316. C₁₃	C₂×#1585	semidirect
375. C₂	#13113691	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄×#6106	2
C₂×C₈×D₅₂	2
#13113691	2
C₂×#11718071	2
C₂×Q₈⋊#1055	2
C₂×#11718075	2
C₂×#11718046	2
C₂×C₁₃×#446	2
C₂×#1585	13

Subgroups — C2×#13113691 #15832456

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13113691 #15832456