Subgroups — C₂×#13116715 #16016317

Order 3328.

662 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11718855	C₂	1	1	yes	maximal, characteristic
2	C₂×#11718361	C₂	1	1	yes	maximal, characteristic, complemented
3	#13116715	C₂	1	8	yes	maximal, direct product factor
4	C₂×#11718085	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11718159	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718089	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄×#6090	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#443	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
10	C₂×C₁₃×#131	—	2	1	no	—
11	C₂×#88158	C₂²	1	1	yes	characteristic
12	C₂×#88155	—	2	1	no	—
13	C₁₃×#443	—	2	2	no	—
14	C₁₃×#443	C₂²	1	4	yes	complemented
15	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#104	—	2	1	no	—
17	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
18	#11718855	C₄	1	4	yes	complemented
19	#11718855	C₂²	1	4	yes	—
20	C₂×#88069	C₄	1	1	yes	characteristic, complemented
21	C₂×#88068	C₄	1	1	yes	characteristic, complemented
22	C₂×#88067	C₄	1	1	yes	characteristic, complemented
23	C₂×#88066	C₄	1	1	yes	characteristic, complemented
24	C₂×#88059	C₂²	1	1	yes	characteristic
25	C₂²×#6090	C₂²	1	1	yes	characteristic
26	C₂²×#6090	C₂²	1	1	yes	characteristic
27	C₂×#88045	—	2	1	no	—
28	#11718361	—	2	2	no	—
29	#11718361	C₂²	1	4	yes	complemented
30	#11718159	C₂²	1	4	yes	complemented
31	#11718089	C₂²	1	4	yes	complemented
32	#11718085	C₂²	1	4	yes	complemented
33	C₄×#6090	C₂²	1	4	yes	complemented
34	C₂×C₁₃×#41	—	2	1	no	—
35	C₂×#6127	—	2	1	no	—
36	C₁₃×#135	—	2	1	no	—
37	C₁₃×#135	—	2	1	no	—
38	C₁₃×#135	C₂×C₄	1	2	yes	—
39	C₁₃×#135	C₂³	1	2	yes	—
40	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
41	C₂×C₁₃×SD₁₆	—	2	1	no	—
42	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
43	C₁₃×#131	—	2	4	no	—
44	C₁₃×#131	—	4	2	no	—
45	C₂×C₁₃×M₁₆	—	2	1	no	—
46	C₂×C₁₃×M₁₆	—	4	1	no	—
47	C₂²×C₈×C₁₃	—	4	1	no	—
48	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
49	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
50	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
51	C₂×#6099	—	2	1	no	—
52	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic
53	#88158	—	2	1	no	—
54	#88158	—	2	1	no	—
55	#88158	C₂×C₄	1	2	yes	—
56	#88158	C₂³	1	2	yes	—
57	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
58	C₂×#6095	—	2	1	no	—
59	#88155	—	2	4	no	—
60	#88155	—	4	2	no	—
61	C₂×#6094	—	4	1	no	—
62	C₂×C₈×D₁₃	—	4	1	no	—
63	C₁₃×#108	—	2	1	no	—
64	C₁₃×#108	C₂³	1	2	yes	—
65	C₁₃×#104	—	2	4	no	—
66	C₄×C₈×C₁₃	D₄	1	2	yes	—
67	C₄×C₈×C₁₃	C₂³	1	2	yes	—
68	#88069	C₂×C₄	1	4	yes	complemented
69	#88068	C₂×C₄	1	4	yes	complemented
70	#88067	C₂×C₄	1	4	yes	complemented
71	#88066	C₂×C₄	1	4	yes	complemented
72	#88059	—	2	1	no	—
73	#88059	C₂³	1	2	yes	—
74	C₂×#6090	—	2	1	no	—
75	C₂×#6090	—	2	1	no	—
76	C₂×#6090	C₂×C₄	1	1	yes	characteristic
77	C₂×#6090	C₂×C₄	1	1	yes	characteristic
78	C₂×#6090	C₂×C₄	1	2	yes	—
79	C₂×#6090	C₂³	1	2	yes	—
80	C₂×#6090	C₂³	1	2	yes	—
81	#88045	—	2	4	no	—
82	C₂×#2178	—	13	1	no	maximal, Sylow
83	C₁₃×#41	—	2	2	no	—
84	C₁₃×#41	—	2	2	no	—
85	C₁₃×#41	—	4	1	no	—
86	C₁₃×#41	—	4	1	no	—
87	C₂×Q₈×C₁₃	—	2	1	no	—
88	C₂×D₄×C₁₃	—	2	1	no	—
89	C₂×D₄×C₁₃	—	4	1	no	—
90	C₂²×C₄×C₁₃	—	2	1	no	—
91	C₂²×C₄×C₁₃	—	4	1	no	—
92	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
93	C₂×C₂²⋊D₁₃	—	4	1	no	—
94	#6127	—	2	2	no	—
95	#6127	—	2	2	no	—
96	#6127	—	4	1	no	—
97	#6127	—	4	1	no	—
98	C₂×D₅₂	—	2	1	no	—
99	C₂×C₄×D₁₃	—	4	1	no	—
100	C₂×Dic₂₆	—	2	1	no	—
101	C₁₃×Q₁₆	—	2	1	no	—
102	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
103	C₁₃×SD₁₆	—	2	2	no	—
104	C₁₃×SD₁₆	—	2	2	no	—
105	C₁₃×D₈	—	2	1	no	—
106	C₁₃×D₈	C₂²×C₄	1	2	yes	—
107	C₁₃×M₁₆	—	2	2	no	—
108	C₁₃×M₁₆	—	4	1	no	—
109	C₁₃×M₁₆	—	4	4	no	—
110	C₂×C₈×C₁₃	—	4	1	no	—
111	C₂×C₈×C₁₃	—	4	4	no	—
112	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
113	C₂×C₈×C₁₃	D₈	1	2	yes	—
114	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
115	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
119	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
120	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
121	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
122	C₄²×C₁₃	—	2	1	no	—
123	C₄²×C₁₃	C₂×D₄	1	2	yes	—
124	#6099	—	2	2	no	—
125	#6099	—	4	1	no	—
126	C₂×#1055	—	4	1	no	—
127	Dic₅₂	—	2	1	no	—
128	Dic₅₂	C₂²×C₄	1	2	yes	—
129	D₁₀₄	—	2	1	no	—
130	D₁₀₄	C₂²×C₄	1	2	yes	—
131	#6095	—	2	2	no	—
132	#6095	—	2	2	no	—
133	#6094	—	4	4	no	—
134	C₈×D₁₃	—	4	4	no	—
135	#6090	—	2	2	no	—
136	#6090	C₂²×C₄	1	2	yes	—
137	#6090	C₂²×C₄	1	2	yes	—
138	C₂×#508	—	13	1	no	—
139	C₂×#443	—	13	1	no	—
140	C₂×#443	D₁₃	1	1	yes	characteristic, complemented
141	#2178	—	13	8	no	—
142	C₂×#368	—	13	1	no	—
143	C₂×#359	—	13	1	no	—
144	C₂×#359	—	13	1	no	—
145	C₂×C₄×C₁₆	—	13	1	no	—
146	C₂³×C₁₃	—	4	1	no	—
147	C₂³×C₁₃	#135	1	1	yes	characteristic
148	C₂²×D₁₃	—	4	1	no	—
149	Q₈×C₁₃	—	2	2	no	—
150	Q₈×C₁₃	—	4	1	no	—
151	D₄×C₁₃	—	2	2	no	—
152	D₄×C₁₃	—	4	2	no	—
153	D₄×C₁₃	—	4	2	no	—
154	D₄×C₁₃	—	4	1	no	—
155	C₂×C₄×C₁₃	—	2	4	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	4	1	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	4	2	no	—
160	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
166	C₂²⋊D₁₃	—	4	2	no	—
167	C₂²⋊D₁₃	—	4	2	no	—
168	C₂×Dic₁₃	—	4	1	no	—
169	D₅₂	—	2	2	no	—
170	D₅₂	—	4	1	no	—
171	C₄×D₁₃	—	4	2	no	—
172	C₄×D₁₃	—	4	2	no	—
173	Dic₂₆	—	2	2	no	—
174	Dic₂₆	—	4	1	no	—
175	C₈×C₁₃	—	4	2	no	—
176	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
177	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
178	C₈×C₁₃	C₂×D₈	1	2	yes	—
179	C₈×C₁₃	C₂×D₈	1	2	yes	—
180	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
181	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
182	#1055	—	4	2	no	—
183	C₂×#135	—	13	1	no	—
184	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
185	C₂×#131	—	2	1	no	—
186	C₂×#131	—	26	1	no	—
187	#508	—	13	4	no	—
188	#508	—	13	4	no	—
189	C₂×Q₃₂	—	13	1	no	—
190	C₂×SD₃₂	—	13	1	no	—
191	C₂×SD₃₂	—	13	1	no	—
192	C₂×D₁₆	—	13	1	no	—
193	C₂²×C₁₆	—	13	1	no	—
194	C₂²×C₁₆	—	13	1	no	—
195	#443	—	2	2	no	—
196	#443	—	13	4	no	—
197	#443	—	26	2	no	—
198	#443	C₂×D₁₃	1	4	yes	complemented
199	C₂×#108	—	13	1	no	—
200	C₂×#108	C₂×D₁₃	1	1	yes	characteristic
201	C₂×#104	—	2	1	no	—
202	C₂×#104	—	26	1	no	—
203	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
204	#368	—	13	4	no	—
205	#359	—	13	4	no	—
206	#359	—	13	4	no	—
207	C₄×C₁₆	—	13	4	no	—
208	C₂²×C₁₃	—	2	2	no	—
209	C₂²×C₁₃	—	4	2	no	—
210	C₂²×C₁₃	—	8	2	no	—
211	C₂²×C₁₃	C₄×D₈	1	1	yes	characteristic
212	C₂²×C₁₃	C₄×D₈	1	1	yes	characteristic
213	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
214	C₂×D₁₃	—	4	2	no	—
215	C₂×D₁₃	—	8	2	no	—
216	C₄×C₁₃	—	2	4	no	—
217	C₄×C₁₃	—	4	2	no	—
218	C₄×C₁₃	C₄×D₈	1	1	yes	characteristic
219	C₄×C₁₃	C₄×D₈	1	1	yes	characteristic
220	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
221	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
222	Dic₁₃	—	4	2	no	—
223	C₂×#41	—	2	1	no	—
224	C₂×#41	—	26	1	no	—
225	#135	—	2	1	no	—
226	#135	—	2	1	no	—
227	#135	—	13	2	no	—
228	#135	—	13	2	no	—
229	#135	—	26	1	no	—
230	#135	—	26	1	no	—
231	#135	C₄×D₁₃	1	2	yes	—
232	#135	C₂²×D₁₃	1	2	yes	—
233	C₂×Q₁₆	—	13	1	no	—
234	C₂×Q₁₆	C₄×D₁₃	1	1	yes	characteristic
235	C₂×SD₁₆	—	2	1	no	—
236	C₂×SD₁₆	—	26	1	no	—
237	C₂×D₈	—	13	1	no	—
238	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic
239	#131	—	2	4	no	—
240	#131	—	4	2	no	—
241	#131	—	26	4	no	—
242	#131	—	52	2	no	—
243	C₂×M₁₆	—	2	1	no	—
244	C₂×M₁₆	—	4	1	no	—
245	C₂×M₁₆	—	26	1	no	—
246	C₂×M₁₆	—	52	1	no	—
247	C₂²×C₈	—	4	1	no	—
248	C₂²×C₈	—	52	1	no	—
249	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
250	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
251	C₂×C₄²	C₂²⋊D₁₃	1	1	yes	characteristic
252	Q₃₂	—	13	4	no	—
253	SD₃₂	—	13	4	no	—
254	SD₃₂	—	13	4	no	—
255	D₁₆	—	13	4	no	—
256	C₂×C₁₆	—	13	1	no	—
257	C₂×C₁₆	—	13	1	no	—
258	C₂×C₁₆	—	13	2	no	—
259	C₂×C₁₆	—	13	2	no	—
260	C₂×C₁₆	—	13	2	no	—
261	C₂×C₁₆	—	26	1	no	—
262	C₂×C₁₆	—	26	1	no	—
263	#108	—	2	1	no	—
264	#108	—	13	2	no	—
265	#108	—	26	1	no	—
266	#108	C₂²×D₁₃	1	2	yes	—
267	#104	—	2	4	no	—
268	#104	—	26	4	no	—
269	C₄×C₈	C₂²⋊D₁₃	1	2	yes	—
270	C₄×C₈	C₂²×D₁₃	1	2	yes	—
271	C₂×C₁₃	—	2	1	no	—
272	C₂×C₁₃	—	2	1	no	—
273	C₂×C₁₃	—	8	2	no	—
274	C₂×C₁₃	#2178	1	2	yes	complemented
275	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
276	D₁₃	—	8	2	no	—
277	#41	—	2	2	no	—
278	#41	—	2	2	no	—
279	#41	—	4	1	no	—
280	#41	—	4	1	no	—
281	#41	—	26	2	no	—
282	#41	—	26	2	no	—
283	#41	—	52	1	no	—
284	#41	—	52	1	no	—
285	C₂×Q₈	—	2	1	no	—
286	C₂×Q₈	—	26	1	no	—
287	C₂×D₄	—	2	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	26	1	no	—
290	C₂×D₄	—	52	1	no	—
291	C₂²×C₄	—	2	1	no	—
292	C₂²×C₄	—	4	1	no	—
293	C₂²×C₄	—	52	1	no	—
294	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
295	Q₁₆	—	2	1	no	—
296	Q₁₆	—	13	2	no	—
297	Q₁₆	—	26	1	no	—
298	Q₁₆	C₂×C₄×D₁₃	1	2	yes	—
299	SD₁₆	—	2	2	no	—
300	SD₁₆	—	2	2	no	—
301	SD₁₆	—	26	2	no	—
302	SD₁₆	—	26	2	no	—
303	D₈	—	2	1	no	—
304	D₈	—	13	2	no	—
305	D₈	—	26	1	no	—
306	D₈	C₂×C₄×D₁₃	1	2	yes	—
307	M₁₆	—	2	2	no	—
308	M₁₆	—	4	1	no	—
309	M₁₆	—	4	4	no	—
310	M₁₆	—	26	2	no	—
311	M₁₆	—	52	1	no	—
312	M₁₆	—	52	4	no	—
313	C₂×C₈	—	4	1	no	—
314	C₂×C₈	—	4	4	no	—
315	C₂×C₈	—	52	1	no	—
316	C₂×C₈	—	52	4	no	—
317	C₂×C₈	#6104	1	1	yes	characteristic
318	C₂×C₈	#6104	1	2	yes	—
319	C₂×C₈	#6104	1	1	yes	characteristic
320	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
321	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
322	C₂×C₈	#6127	1	1	yes	characteristic
323	C₂×C₈	#6127	1	1	yes	characteristic
324	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
325	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
326	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
327	C₄²	—	2	1	no	—
328	C₄²	C₂×C₂²⋊D₁₃	1	2	yes	—
329	C₁₆	—	13	2	no	—
330	C₁₆	—	13	2	no	—
331	C₁₆	—	26	2	no	—
332	C₁₃	C₂×#2178	1	1	yes	characteristic, complemented, Sylow
333	C₂³	—	4	1	no	—
334	C₂³	—	52	1	no	—
335	C₂³	#88204	1	1	yes	characteristic
336	Q₈	—	2	2	no	—
337	Q₈	—	4	1	no	—
338	Q₈	—	26	2	no	—
339	Q₈	—	52	1	no	—
340	D₄	—	2	2	no	—
341	D₄	—	4	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	4	1	no	—
344	D₄	—	26	2	no	—
345	D₄	—	52	2	no	—
346	D₄	—	52	2	no	—
347	D₄	—	52	1	no	—
348	C₂×C₄	—	2	4	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	52	1	no	—
354	C₂×C₄	—	52	2	no	—
355	C₂×C₄	—	52	2	no	—
356	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
357	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
358	C₂×C₄	C₂×#6104	1	1	yes	characteristic
359	C₂×C₄	C₂×#6104	1	1	yes	characteristic
360	C₂×C₄	#88204	1	1	yes	characteristic
361	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
362	C₈	—	4	2	no	—
363	C₈	—	52	2	no	—
364	C₈	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
365	C₈	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
366	C₈	C₂×#6104	1	2	yes	—
367	C₈	C₂×#6104	1	2	yes	—
368	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
369	C₈	C₂×#6127	1	1	yes	characteristic
370	C₂²	—	2	2	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	52	2	no	—
374	C₂²	—	104	2	no	—
375	C₂²	C₄×#6104	1	1	yes	characteristic
376	C₂²	C₄×#6104	1	1	yes	characteristic
377	C₂²	C₂×#88204	1	1	yes	characteristic
378	C₄	—	2	4	no	—
379	C₄	—	4	2	no	—
380	C₄	—	52	2	no	—
381	C₄	C₄×#6104	1	1	yes	characteristic
382	C₄	C₄×#6104	1	1	yes	characteristic
383	C₄	C₂×C₄×C₂²⋊D₁₃	1	1	yes	characteristic
384	C₄	C₂²×#6104	1	1	yes	characteristic
385	C₂	—	2	1	no	—
386	C₂	—	2	1	no	—
387	C₂	—	8	2	no	—
388	C₂	—	104	2	no	—
389	C₂	#13116715	1	2	yes	direct product factor
390	C₂	C₂×C₄×#6104	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	#6104
commutator	C₈×C₁₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	C₂×C₁₃×#443	C₂
socle	C₂²×C₁₃	C₄×D₈
prime radical	C₂×#11718855	C₂
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	C₂×#443	D₁₃
hypocenter	C₁₃	C₂×#2178
LCS	G ▷ C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₈ ◁ C₂²×C₈ ◁ C₂×C₄×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. C₂×#11718361	C₂	semidirect
3. #13116715	C₂	direct (N × H)
4. C₂×#11718085	C₂	semidirect
5. C₂×#11718159	C₂	semidirect
6. C₂×#11718089	C₂	semidirect
7. C₂×C₄×#6090	C₂	semidirect
8. C₂×C₁₃×#443	C₂	semidirect
14. C₁₃×#443	C₂²	semidirect
18. #11718855	C₄	semidirect
20. C₂×#88069	C₄	semidirect
21. C₂×#88068	C₄	semidirect
22. C₂×#88067	C₄	semidirect
23. C₂×#88066	C₄	semidirect
29. #11718361	C₂²	semidirect
30. #11718159	C₂²	semidirect
31. #11718089	C₂²	semidirect
32. #11718085	C₂²	semidirect
33. C₄×#6090	C₂²	semidirect
68. #88069	C₂×C₄	semidirect
69. #88068	C₂×C₄	semidirect
70. #88067	C₂×C₄	semidirect
71. #88066	C₂×C₄	semidirect
140. C₂×#443	D₁₃	semidirect
198. #443	C₂×D₁₃	semidirect
274. C₂×C₁₃	#2178	semidirect
332. C₁₃	C₂×#2178	semidirect
389. C₂	#13116715	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×#11718855	2
C₂×#11718361	2
#13116715	2
C₂×#11718085	2
C₂×#11718159	2
C₂×#11718089	2
C₂×C₄×#6090	2
C₂×C₁₃×#443	2
C₂×#2178	13

Subgroups — C2×#13116715 #16016317

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13116715 #16016317