Subgroups — C₂×#13114310 #15845513

Order 3328.

766 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11718746	C₂	1	1	yes	maximal, characteristic
2	C₂×#11718688	C₂	1	1	yes	maximal, characteristic
3	C₂×#11718685	C₂	1	1	yes	maximal, characteristic, complemented
4	#13114310	C₂	1	8	yes	maximal, direct product factor
5	C₂×#11718071	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718139	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11718077	C₂	1	1	yes	maximal, characteristic
8	C₂×C₁₃×#475	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
11	C₂²×#6106	—	2	1	no	—
12	C₂²×#6106	—	2	1	no	—
13	C₂²×#6106	—	2	1	no	—
14	C₂×#88128	C₂²	1	1	yes	characteristic
15	C₁₃×#475	—	2	2	no	—
16	C₁₃×#475	C₂²	1	4	yes	complemented
17	C₂×C₁₃×#106	—	2	1	no	—
18	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#103	—	2	1	no	—
20	#11718746	—	2	2	no	—
21	#11718746	C₂²	1	4	yes	—
22	#11718688	—	2	2	no	—
23	#11718688	C₂²	1	4	yes	—
24	#11718685	—	2	2	no	—
25	#11718685	C₂²	1	4	yes	complemented
26	C₂×#88049	—	2	1	no	—
27	C₂×C₄⋊#1055	—	2	1	no	—
28	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
29	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
30	C₂×#88043	—	2	1	no	—
31	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
32	#11718139	C₂²	1	4	yes	complemented
33	#11718077	C₂²	1	4	yes	—
34	#11718071	C₂²	1	4	yes	complemented
35	C₂²×Q₈×C₁₃	—	2	1	no	—
36	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
37	C₂²×D₅₂	—	2	1	no	—
38	C₂²×D₅₂	—	2	1	no	—
39	C₂²×D₅₂	—	2	1	no	—
40	C₂²×C₈×C₁₃	—	2	1	no	—
41	C₁₃×C₄⋊Q₈	—	2	1	no	—
42	C₁₃×C₄⋊Q₈	—	2	1	no	—
43	C₁₃×C₄⋊Q₈	—	2	1	no	—
44	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
45	C₄×Q₈×C₁₃	—	2	1	no	—
46	C₄×Q₈×C₁₃	—	2	1	no	—
47	C₄×Q₈×C₁₃	D₄	1	2	yes	—
48	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
49	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
50	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
51	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
52	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
53	C₂×C₄²×C₁₃	—	2	1	no	—
54	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
55	C₂×#6106	—	2	4	no	—
56	C₂×#6106	—	2	4	no	—
57	C₂×#6106	—	2	4	no	—
58	C₂×#6106	—	4	4	no	—
59	C₂×#6106	—	4	4	no	—
60	C₂×#6106	—	4	4	no	—
61	C₂²×#1055	—	2	1	no	—
62	C₂²×#1055	—	2	1	no	—
63	C₂²×#1055	D₄	1	1	yes	characteristic
64	C₂²×#1055	D₄	1	1	yes	characteristic
65	#88128	—	2	1	no	—
66	#88128	—	2	1	no	—
67	#88128	—	2	1	no	—
68	#88128	C₂³	1	2	yes	—
69	C₁₃×#106	—	2	4	no	—
70	C₁₃×C₄⋊C₈	—	2	1	no	—
71	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
72	C₁₃×#103	—	2	4	no	—
73	#88049	—	2	4	no	—
74	C₄⋊#1055	—	2	1	no	—
75	C₄⋊#1055	—	2	1	no	—
76	C₄⋊#1055	—	2	4	no	—
77	C₄⋊#1055	C₂³	1	2	yes	—
78	C₄⋊#1055	C₂³	1	2	yes	—
79	#88043	—	2	4	no	—
80	C₄×#1055	D₄	1	2	yes	—
81	C₄×#1055	C₂³	1	2	yes	—
82	C₂×#1686	—	13	1	no	maximal, Sylow
83	C₂³×D₁₃	—	4	1	no	—
84	C₂×Q₈×C₁₃	—	2	1	no	—
85	C₂×Q₈×C₁₃	—	2	2	no	—
86	C₂×Q₈×C₁₃	—	2	2	no	—
87	C₂×Q₈×C₁₃	—	2	2	no	—
88	C₂×Q₈×C₁₃	—	4	1	no	—
89	C₂×Q₈×C₁₃	—	4	2	no	—
90	C₂×Q₈×C₁₃	—	4	2	no	—
91	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₁₃	—	2	1	no	—
93	C₂²×C₄×C₁₃	—	2	1	no	—
94	C₂²×C₄×C₁₃	—	4	1	no	—
95	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
98	C₂×D₅₂	—	2	2	no	—
99	C₂×D₅₂	—	2	2	no	—
100	C₂×D₅₂	—	2	2	no	—
101	C₂×D₅₂	—	4	2	no	—
102	C₂×D₅₂	—	4	2	no	—
103	C₂×D₅₂	—	4	2	no	—
104	C₂×D₅₂	—	4	2	no	—
105	C₂×D₅₂	—	4	1	no	—
106	C₂×D₅₂	—	4	1	no	—
107	C₂×D₅₂	—	4	1	no	—
108	C₂×D₅₂	—	8	2	no	—
109	C₂×C₈×C₁₃	—	2	2	no	—
110	C₂×C₈×C₁₃	—	4	2	no	—
111	C₁₃×C₄⋊C₄	—	2	2	no	—
112	C₁₃×C₄⋊C₄	—	2	1	no	—
113	C₁₃×C₄⋊C₄	—	2	2	no	—
114	C₁₃×C₄⋊C₄	—	2	2	no	—
115	C₁₃×C₄⋊C₄	—	2	2	no	—
116	C₁₃×C₄⋊C₄	—	4	1	no	—
117	C₁₃×C₄⋊C₄	—	4	1	no	—
118	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
119	C₄²×C₁₃	—	2	2	no	—
120	C₄²×C₁₃	—	2	2	no	—
121	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₁₃	#41	1	1	yes	characteristic
124	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
125	#6106	—	4	8	no	—
126	#6106	—	4	8	no	—
127	#6106	—	4	8	no	—
128	C₂×#1055	—	2	2	no	—
129	C₂×#1055	—	2	2	no	—
130	C₂×#1055	—	2	2	no	—
131	C₂×#1055	—	4	2	no	—
132	C₂×#1055	—	4	2	no	—
133	C₂×#1055	SD₁₆	1	4	yes	complemented
134	C₂×#1055	C₂×D₄	1	2	yes	—
135	C₂×#1055	C₂×D₄	1	2	yes	—
136	C₂×#492	—	13	1	no	—
137	C₂×#475	D₁₃	1	1	yes	characteristic, complemented
138	C₂×#460	—	13	1	no	—
139	C₂×#446	—	13	1	no	—
140	#1686	—	13	8	no	—
141	C₂×#335	—	13	1	no	—
142	C₂×#332	—	13	1	no	—
143	C₂×#331	—	13	1	no	—
144	C₂³×C₁₃	#121	1	1	yes	characteristic
145	C₂²×D₁₃	—	4	2	no	—
146	C₂²×D₁₃	—	8	2	no	—
147	C₂²×D₁₃	—	8	2	no	—
148	C₂²×D₁₃	—	8	2	no	—
149	Q₈×C₁₃	—	2	2	no	—
150	Q₈×C₁₃	—	2	2	no	—
151	Q₈×C₁₃	—	4	2	no	—
152	Q₈×C₁₃	—	4	2	no	—
153	Q₈×C₁₃	—	4	2	no	—
154	Q₈×C₁₃	—	8	2	no	—
155	C₂×C₄×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	2	2	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	4	2	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	8	2	no	—
162	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
163	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
164	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
166	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
167	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
168	C₂×C₄×C₁₃	#137	1	2	yes	—
169	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
172	D₅₂	—	4	2	no	—
173	D₅₂	—	4	2	no	—
174	D₅₂	—	4	2	no	—
175	D₅₂	—	4	2	no	—
176	D₅₂	—	8	2	no	—
177	D₅₂	—	8	2	no	—
178	D₅₂	—	8	2	no	—
179	D₅₂	—	8	2	no	—
180	C₈×C₁₃	—	4	2	no	—
181	#1055	—	2	2	no	—
182	#1055	—	4	2	no	—
183	#1055	—	4	2	no	—
184	#1055	C₂×SD₁₆	1	4	yes	complemented
185	C₂²×SD₁₆	—	26	1	no	—
186	C₂²×SD₁₆	—	26	1	no	—
187	C₂²×SD₁₆	—	26	1	no	—
188	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
189	C₂×#127	—	13	1	no	—
190	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
191	#492	—	13	4	no	—
192	#492	—	26	2	no	—
193	#475	—	2	2	no	—
194	#475	C₂×D₁₃	1	4	yes	complemented
195	#460	—	13	4	no	—
196	#460	—	26	2	no	—
197	#446	—	13	4	no	—
198	#446	—	26	2	no	—
199	C₂×#106	—	2	1	no	—
200	C₂×C₄⋊C₈	—	13	1	no	—
201	C₂×C₄⋊C₈	—	13	1	no	—
202	C₂×C₄⋊C₈	—	26	1	no	—
203	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
204	C₂×#103	—	2	1	no	—
205	C₂×#102	—	26	1	no	—
206	C₂×#97	—	26	1	no	—
207	C₂×C₄×C₈	—	13	1	no	—
208	#335	—	13	4	no	—
209	#332	—	13	4	no	—
210	#331	—	13	4	no	—
211	C₂²×C₁₃	#460	1	2	yes	—
212	C₂²×C₁₃	#468	1	2	yes	—
213	C₂²×C₁₃	#471	1	2	yes	—
214	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
215	C₂×D₁₃	—	8	2	no	—
216	C₂×D₁₃	—	8	2	no	—
217	C₂×D₁₃	—	8	2	no	—
218	C₂×D₁₃	—	16	4	no	—
219	C₄×C₁₃	—	2	1	no	—
220	C₄×C₁₃	—	2	1	no	—
221	C₄×C₁₃	—	4	2	no	—
222	C₄×C₁₃	—	4	2	no	—
223	C₄×C₁₃	—	8	2	no	—
224	C₄×C₁₃	#460	1	2	yes	—
225	C₄×C₁₃	#468	1	2	yes	—
226	C₄×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
227	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
228	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
229	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
230	C₂²×Q₈	—	2	1	no	—
231	C₂²×Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
232	C₂²×D₄	—	26	1	no	—
233	C₂²×D₄	—	26	1	no	—
234	C₂²×D₄	—	26	1	no	—
235	C₂×SD₁₆	—	26	4	no	—
236	C₂×SD₁₆	—	26	4	no	—
237	C₂×SD₁₆	—	26	4	no	—
238	C₂×SD₁₆	—	52	4	no	—
239	C₂×SD₁₆	—	52	4	no	—
240	C₂×SD₁₆	—	52	4	no	—
241	C₂²×C₈	—	2	1	no	—
242	C₂²×C₈	—	13	1	no	—
243	C₂²×C₈	—	13	1	no	—
244	C₂²×C₈	—	26	1	no	—
245	C₂²×C₈	—	26	1	no	—
246	C₄⋊Q₈	—	2	1	no	—
247	C₄⋊Q₈	—	2	1	no	—
248	C₄⋊Q₈	—	2	1	no	—
249	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
250	#127	—	13	2	no	—
251	#127	—	26	1	no	—
252	#127	—	26	1	no	—
253	#127	—	26	1	no	—
254	C₄×Q₈	—	2	1	no	—
255	C₄×Q₈	—	2	1	no	—
256	C₄×Q₈	C₂²⋊D₁₃	1	2	yes	—
257	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
258	C₂×C₄⋊C₄	—	2	1	no	—
259	C₂×C₄⋊C₄	—	2	1	no	—
260	C₂×C₄⋊C₄	—	2	1	no	—
261	C₂×C₄⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
262	C₂×C₄²	—	2	1	no	—
263	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
264	#106	—	2	4	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	—	13	2	no	—
267	C₄⋊C₈	—	13	2	no	—
268	C₄⋊C₈	—	26	4	no	—
269	C₄⋊C₈	—	26	1	no	—
270	C₄⋊C₈	—	26	1	no	—
271	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
272	#103	—	2	4	no	—
273	#102	—	26	4	no	—
274	#97	—	26	4	no	—
275	C₄×C₈	—	13	2	no	—
276	C₄×C₈	—	13	2	no	—
277	C₂×C₁₃	#1686	1	4	yes	complemented
278	C₂×C₁₃	C₂×#460	1	1	yes	characteristic
279	C₂×C₁₃	C₂×#468	1	1	yes	characteristic
280	C₂×C₁₃	C₂×#471	1	1	yes	characteristic
281	D₁₃	—	16	2	no	—
282	C₂⁴	—	52	1	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×Q₈	—	2	2	no	—
285	C₂×Q₈	—	2	2	no	—
286	C₂×Q₈	—	2	2	no	—
287	C₂×Q₈	—	4	1	no	—
288	C₂×Q₈	—	4	2	no	—
289	C₂×Q₈	—	4	2	no	—
290	C₂×Q₈	C₂×C₂²⋊D₁₃	1	2	yes	—
291	C₂×D₄	—	26	2	no	—
292	C₂×D₄	—	26	2	no	—
293	C₂×D₄	—	26	2	no	—
294	C₂×D₄	—	52	2	no	—
295	C₂×D₄	—	52	2	no	—
296	C₂×D₄	—	52	1	no	—
297	C₂×D₄	—	52	1	no	—
298	C₂×D₄	—	52	1	no	—
299	C₂×D₄	—	52	2	no	—
300	C₂×D₄	—	52	2	no	—
301	C₂×D₄	—	104	2	no	—
302	C₂²×C₄	—	2	1	no	—
303	C₂²×C₄	—	2	1	no	—
304	C₂²×C₄	—	4	1	no	—
305	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
306	C₂²×C₄	#6129	1	1	yes	characteristic
307	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
308	SD₁₆	—	52	8	no	—
309	SD₁₆	—	52	8	no	—
310	SD₁₆	—	52	8	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	4	2	no	—
313	C₂×C₈	—	13	4	no	—
314	C₂×C₈	—	13	2	no	—
315	C₂×C₈	—	13	2	no	—
316	C₂×C₈	—	26	2	no	—
317	C₂×C₈	—	26	2	no	—
318	C₂×C₈	—	26	2	no	—
319	C₂×C₈	—	52	2	no	—
320	C₂×C₈	—	52	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	2	no	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	2	2	no	—
326	C₄⋊C₄	—	4	1	no	—
327	C₄⋊C₄	—	4	1	no	—
328	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	2	yes	—
329	C₄²	—	2	2	no	—
330	C₄²	—	2	2	no	—
331	C₄²	D₄×D₁₃	1	1	yes	characteristic
332	C₄²	#6129	1	1	yes	characteristic
333	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
334	C₄²	C₂³×D₁₃	1	1	yes	characteristic
335	C₁₃	C₂×#1686	1	1	yes	characteristic, complemented, Sylow
336	C₂³	—	52	2	no	—
337	C₂³	—	104	2	no	—
338	C₂³	—	104	2	no	—
339	C₂³	—	104	2	no	—
340	C₂³	#88193	1	1	yes	characteristic
341	Q₈	—	2	2	no	—
342	Q₈	—	2	2	no	—
343	Q₈	—	4	2	no	—
344	Q₈	—	4	2	no	—
345	Q₈	—	4	2	no	—
346	Q₈	—	8	2	no	—
347	D₄	—	52	2	no	—
348	D₄	—	52	2	no	—
349	D₄	—	52	2	no	—
350	D₄	—	52	2	no	—
351	D₄	—	104	2	no	—
352	D₄	—	104	2	no	—
353	D₄	—	104	2	no	—
354	D₄	—	104	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	4	2	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	8	2	no	—
362	C₂×C₄	SD₁₆×D₁₃	1	2	yes	—
363	C₂×C₄	#88168	1	2	yes	—
364	C₂×C₄	#88193	1	1	yes	characteristic
365	C₂×C₄	#88193	1	1	yes	characteristic
366	C₂×C₄	#88193	1	1	yes	characteristic
367	C₂×C₄	#88196	1	2	yes	—
368	C₂×C₄	#88203	1	2	yes	—
369	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
370	C₂×C₄	C₂×#6129	1	1	yes	characteristic
371	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
372	C₈	—	4	2	no	—
373	C₈	—	13	4	no	—
374	C₈	—	26	2	no	—
375	C₈	—	52	2	no	—
376	C₈	—	52	2	no	—
377	C₂²	—	104	2	no	—
378	C₂²	—	104	2	no	—
379	C₂²	—	104	2	no	—
380	C₂²	—	208	4	no	—
381	C₂²	#11718710	1	2	yes	—
382	C₂²	#11718824	1	2	yes	—
383	C₂²	#11718864	1	2	yes	—
384	C₂²	C₂×#88193	1	1	yes	characteristic
385	C₄	—	2	1	no	—
386	C₄	—	2	1	no	—
387	C₄	—	4	2	no	—
388	C₄	—	4	2	no	—
389	C₄	—	8	2	no	—
390	C₄	#11718710	1	2	yes	—
391	C₄	#11718824	1	2	yes	—
392	C₄	C₂×SD₁₆×D₁₃	1	1	yes	characteristic
393	C₄	C₂×#88168	1	1	yes	characteristic
394	C₄	C₂×#88196	1	1	yes	characteristic
395	C₄	C₂×#88203	1	1	yes	characteristic
396	C₂	—	208	2	no	—
397	C₂	#13114310	1	4	yes	direct product factor
398	C₂	C₂×#11718824	1	1	yes	characteristic
399	C₂	C₂×#11718710	1	1	yes	characteristic
400	C₂	C₂×#11718864	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#88193
commutator, cosocle	C₄²×C₁₃	C₂⁴
Frattini	C₄²	C₂³×D₁₃
Fitting	C₂×C₁₃×#475	C₂
socle	C₂³×C₁₃	#121
prime radical	C₂×#88128	C₂²
hypercenter	C₂×#475	D₁₃
hypocenter	C₁₃	C₂×#1686
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#475

Complements

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

N	H ≅ G/N	type
3. C₂×#11718685	C₂	semidirect
4. #13114310	C₂	direct (N × H)
5. C₂×#11718071	C₂	semidirect
6. C₂×#11718139	C₂	semidirect
8. C₂×C₁₃×#475	C₂	semidirect
16. C₁₃×#475	C₂²	semidirect
25. #11718685	C₂²	semidirect
32. #11718139	C₂²	semidirect
34. #11718071	C₂²	semidirect
133. C₂×#1055	SD₁₆	semidirect
137. C₂×#475	D₁₃	semidirect
184. #1055	C₂×SD₁₆	semidirect
194. #475	C₂×D₁₃	semidirect
277. C₂×C₁₃	#1686	semidirect
335. C₁₃	C₂×#1686	semidirect
397. C₂	#13114310	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×#11718746	2
C₂×#11718688	2
C₂×#11718685	2
#13114310	2
C₂×#11718071	2
C₂×#11718139	2
C₂×#11718077	2
C₂×C₁₃×#475	2
C₂×#1686	13

Subgroups — C2×#13114310 #15845513

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13114310 #15845513