Subgroups — C₂×#22627055 #34034514

Order 18688.

830 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989700	C₂	1	2	yes	maximal
2	#22627055	C₂	1	8	yes	maximal, direct product factor
3	C₂×#17989677	C₂	1	2	yes	maximal, complemented
4	C₂×#17989676	C₂	1	2	yes	maximal, complemented
5	C₂²×C₈×#64408	C₂	1	1	yes	maximal, characteristic
6	#17989700	—	2	4	no	—
7	#17989700	C₂²	1	8	yes	—
8	C₂×C₄⋊#10596842	C₂²	1	4	yes	—
9	C₂×C₂²⋊#10596842	—	2	2	no	—
10	C₂×C₄×#10596842	—	2	2	no	—
11	#17989677	C₂²	1	8	yes	complemented
12	#17989676	C₂²	1	8	yes	complemented
13	C₂²×#11924036	C₄	1	1	yes	characteristic
14	C₂²×C₄×#64408	C₂²	1	1	yes	characteristic
15	C₂×C₈×#64408	C₄	1	1	yes	characteristic
16	C₂×C₈×#64408	C₄	1	1	yes	characteristic
17	C₂×C₈×#64408	C₄	1	4	yes	—
18	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
19	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
20	C₂×C₈×#64408	C₂²	1	4	yes	—
21	C₂²×C₈×D₇₃	C₄	1	1	yes	characteristic
22	C₂²×#10596842	—	2	4	no	—
23	C₄⋊#10596842	—	2	4	no	—
24	C₄⋊#10596842	C₂³	1	8	yes	—
25	C₂²⋊#10596842	—	2	8	no	—
26	C₄×#10596842	—	2	8	no	—
27	C₂³×#64408	D₄	1	1	yes	characteristic
28	C₂³×#64408	Q₈	1	1	yes	characteristic
29	C₂×#11924036	—	2	2	no	—
30	C₂×#11924036	—	2	1	no	—
31	C₂×#11924036	C₂×C₄	1	1	yes	characteristic
32	C₂×#11924036	C₂×C₄	1	1	yes	characteristic
33	C₂×#11924036	C₂×C₄	1	4	yes	—
34	C₂²×#10596833	—	2	1	no	—
35	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
36	C₂×C₄×#64408	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×#64408	D₄	1	1	yes	characteristic
38	C₂×C₄×#64408	D₄	1	2	yes	—
39	C₂×C₄×#64408	Q₈	1	2	yes	—
40	C₂×C₄×#64408	Q₈	1	1	yes	characteristic
41	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
42	C₂×C₄×#64408	C₂³	1	2	yes	—
43	C₈×#64408	C₂×C₄	1	2	yes	—
44	C₈×#64408	C₂×C₄	1	2	yes	—
45	C₈×#64408	C₂×C₄	1	4	yes	—
46	C₈×#64408	C₂×C₄	1	4	yes	—
47	C₈×#64408	C₂³	1	2	yes	—
48	C₈×#64408	C₂³	1	2	yes	—
49	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
50	C₂²×#10596831	C₈	1	1	yes	characteristic, complemented
51	C₂×C₈×D₇₃	C₈	1	1	yes	characteristic, complemented
52	C₂×C₈×D₇₃	C₈	1	1	yes	characteristic, complemented
53	C₂×C₈×D₇₃	C₈	1	4	yes	complemented
54	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
55	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₇₃	C₂×C₄	1	4	yes	—
57	C₂²×C₈×C₇₃	C₈	1	1	yes	characteristic, complemented
58	C₂×#10596842	—	2	8	no	—
59	C₂×#10596842	—	4	8	no	—
60	C₂²×#64408	—	2	4	no	—
61	C₂²×#64408	—	2	4	no	—
62	C₂²×#64408	C₄⋊C₄	1	1	yes	characteristic
63	C₂²×#64408	C₄⋊C₄	1	2	yes	—
64	C₂²×#64408	C₄⋊C₄	1	2	yes	—
65	C₂²×#64408	C₄⋊C₄	1	1	yes	characteristic
66	C₂²×#64408	C₂×D₄	1	2	yes	—
67	C₂²×#64408	C₂×D₄	1	1	yes	characteristic
68	C₂²×#64408	C₂×Q₈	1	1	yes	characteristic
69	C₂²×#64408	C₂×Q₈	1	2	yes	—
70	#11924036	—	2	4	no	—
71	#11924036	—	2	1	no	—
72	#11924036	—	2	1	no	—
73	#11924036	C₂²×C₄	1	2	yes	—
74	#11924036	C₂²×C₄	1	2	yes	—
75	C₂×#10596833	—	2	4	no	—
76	C₂×#10596833	—	2	1	no	—
77	C₂×#10596833	—	2	1	no	—
78	C₄×#64408	C₄⋊C₄	1	2	yes	—
79	C₄×#64408	C₄⋊C₄	1	2	yes	—
80	C₄×#64408	C₄⋊C₄	1	2	yes	—
81	C₄×#64408	C₂²×C₄	1	1	yes	characteristic
82	C₄×#64408	C₂²×C₄	1	2	yes	—
83	C₄×#64408	C₂×D₄	1	2	yes	—
84	C₄×#64408	C₂×D₄	1	1	yes	characteristic
85	C₄×#64408	C₂×Q₈	1	2	yes	—
86	C₄×#64408	C₂×Q₈	1	1	yes	characteristic
87	C₄×#64408	C₂⁴	1	1	yes	characteristic
88	C₂³×D₇₃	C₄⋊C₄	1	1	yes	characteristic
89	C₂²×Dic₇₃	M₁₆	1	1	yes	characteristic
90	C₂×C₄×D₇₃	C₄⋊C₄	1	2	yes	—
91	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
92	C₂×C₄×D₇₃	C₂×C₈	1	2	yes	—
93	C₂×C₄×D₇₃	C₂×C₈	1	1	yes	characteristic
94	C₂×C₄×D₇₃	M₁₆	1	2	yes	—
95	C₂×C₄×D₇₃	M₁₆	1	1	yes	characteristic
96	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
97	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
98	C₂×#10596831	C₂×C₈	1	1	yes	characteristic
99	C₂×#10596831	C₂×C₈	1	1	yes	characteristic
100	C₂×#10596831	C₂×C₈	1	4	yes	complemented
101	C₈×D₇₃	C₂×C₈	1	2	yes	—
102	C₈×D₇₃	C₂×C₈	1	2	yes	—
103	C₈×D₇₃	C₂×C₈	1	4	yes	complemented
104	C₈×D₇₃	C₂×C₈	1	4	yes	complemented
105	C₈×D₇₃	C₂²×C₄	1	2	yes	—
106	C₈×D₇₃	C₂²×C₄	1	2	yes	—
107	C₂²×C₄×C₇₃	C₂×C₈	1	1	yes	characteristic
108	C₂×C₈×C₇₃	C₂×C₈	1	1	yes	characteristic
109	C₂×C₈×C₇₃	C₂×C₈	1	1	yes	characteristic
110	C₂×C₈×C₇₃	C₂×C₈	1	4	yes	complemented
111	C₂³×C₇₃	C₄⋊C₈	1	1	yes	characteristic
112	C₂²×D₇₃	—	2	2	no	—
113	C₂²×D₇₃	—	2	2	no	—
114	C₂²×D₇₃	C₄⋊C₈	1	1	yes	characteristic
115	C₂²×D₇₃	C₄⋊C₈	1	2	yes	—
116	C₂²×D₇₃	C₂×C₄⋊C₄	1	2	yes	—
117	C₂²×D₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
118	C₂×#64408	—	2	2	no	—
119	C₂×#64408	—	2	2	no	—
120	C₂×#64408	—	2	4	no	—
121	C₂×#64408	—	2	4	no	—
122	C₂×#64408	—	2	4	no	—
123	C₂×#64408	—	2	4	no	—
124	C₂×#64408	#108	1	4	yes	—
125	C₂×#64408	C₂×C₄⋊C₄	1	1	yes	characteristic
126	C₂×#64408	C₂×C₄⋊C₄	1	2	yes	—
127	C₂×#64408	C₂×C₄⋊C₄	1	1	yes	characteristic
128	C₂×#64408	C₂×C₄⋊C₄	1	2	yes	—
129	C₂×#64408	#135	1	4	yes	—
130	C₂×#64408	C₂²×D₄	1	1	yes	characteristic
131	C₂×#64408	C₂²×Q₈	1	1	yes	characteristic
132	#10596842	—	4	8	no	—
133	C₂×C₄×C₇₃	C₄⋊C₈	1	2	yes	—
134	C₂×C₄×C₇₃	C₄⋊C₈	1	1	yes	characteristic
135	C₂×C₄×C₇₃	C₂²×C₈	1	1	yes	characteristic
136	C₂×C₄×C₇₃	C₂²×C₈	1	2	yes	—
137	C₂×Dic₇₃	C₄⋊C₈	1	2	yes	—
138	C₂×Dic₇₃	C₄⋊C₈	1	1	yes	characteristic
139	C₂×Dic₇₃	C₂×M₁₆	1	2	yes	—
140	C₂×Dic₇₃	C₂×M₁₆	1	1	yes	characteristic
141	C₄×D₇₃	C₄⋊C₈	1	2	yes	—
142	C₄×D₇₃	C₄⋊C₈	1	2	yes	—
143	C₄×D₇₃	C₄⋊C₈	1	2	yes	—
144	C₄×D₇₃	C₂×C₄⋊C₄	1	2	yes	—
145	C₄×D₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
146	C₄×D₇₃	C₂²×C₈	1	1	yes	characteristic
147	C₄×D₇₃	C₂²×C₈	1	2	yes	—
148	C₄×D₇₃	C₂×M₁₆	1	2	yes	—
149	C₄×D₇₃	C₂×M₁₆	1	1	yes	characteristic
150	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
151	#10596833	—	2	2	no	—
152	#10596833	—	2	2	no	—
153	C₈×C₇₃	C₂²×C₈	1	2	yes	—
154	C₈×C₇₃	C₂²×C₈	1	2	yes	—
155	#10596831	C₂²×C₈	1	2	yes	—
156	#10596831	C₂²×C₈	1	2	yes	—
157	C₂²×C₇₃	—	2	2	no	—
158	C₂²×C₇₃	C₂×C₄⋊C₈	1	2	yes	—
159	C₂²×C₇₃	C₂×C₄⋊C₈	1	1	yes	characteristic
160	C₂×D₇₃	—	2	2	no	—
161	C₂×D₇₃	—	2	4	no	—
162	C₂×D₇₃	—	2	2	no	—
163	C₂×D₇₃	—	2	2	no	—
164	C₂×D₇₃	C₂×C₄⋊C₈	1	2	yes	—
165	C₂×D₇₃	C₂×C₄⋊C₈	1	1	yes	characteristic
166	C₂×D₇₃	#427	1	2	yes	—
167	C₂×D₇₃	C₂×#108	1	2	yes	—
168	C₂×D₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
169	#64408	—	2	2	no	—
170	#64408	—	2	1	no	—
171	#64408	—	2	1	no	—
172	#64408	#427	1	2	yes	—
173	#64408	C₂×#108	1	4	yes	—
174	#64408	C₂×#135	1	2	yes	—
175	C₄×C₇₃	C₂×C₄⋊C₈	1	1	yes	characteristic
176	C₄×C₇₃	C₂×C₄⋊C₈	1	2	yes	—
177	C₄×C₇₃	C₂³×C₈	1	1	yes	characteristic
178	Dic₇₃	C₂×C₄⋊C₈	1	1	yes	characteristic
179	Dic₇₃	C₂×C₄⋊C₈	1	2	yes	—
180	Dic₇₃	C₂²×M₁₆	1	1	yes	characteristic
181	C₂×#1564	—	73	1	no	maximal, Sylow
182	C₂×C₇₃	—	2	2	no	—
183	C₂×C₇₃	#1564	1	2	yes	complemented
184	C₂×C₇₃	C₂²×C₄⋊C₈	1	1	yes	characteristic
185	D₇₃	—	2	2	no	—
186	D₇₃	#1564	1	2	yes	complemented
187	D₇₃	C₂×#427	1	1	yes	characteristic
188	D₇₃	C₂²×#108	1	1	yes	characteristic
189	C₂×#431	—	73	2	no	—
190	C₂²×C₄×C₈	—	73	1	no	—
191	#1564	—	73	8	no	—
192	C₂×#335	—	73	2	no	—
193	C₂×#334	—	73	2	no	—
194	C₇₃	C₂×#1564	1	1	yes	characteristic, complemented, Sylow
195	C₂³×C₈	—	73	1	no	—
196	C₂³×C₈	—	73	1	no	—
197	C₂²×C₄²	—	73	1	no	—
198	#431	—	73	8	no	—
199	#431	—	146	4	no	—
200	C₂×C₄⋊C₈	—	73	4	no	—
201	C₂×C₂²⋊C₈	—	146	2	no	—
202	C₂×C₄×C₈	—	73	1	no	—
203	C₂×C₄×C₈	—	73	1	no	—
204	C₂×C₄×C₈	—	73	4	no	—
205	C₂×C₄×C₈	—	73	1	no	—
206	C₂×C₄×C₈	—	73	1	no	—
207	C₂×C₄×C₈	—	73	4	no	—
208	C₂×C₄×C₈	—	146	2	no	—
209	#335	—	73	8	no	—
210	#334	—	73	8	no	—
211	C₂³×C₄	—	73	1	no	—
212	C₂³×C₄	—	73	1	no	—
213	C₂³×C₄	—	73	1	no	—
214	C₂²×C₈	—	73	1	no	—
215	C₂²×C₈	—	73	1	no	—
216	C₂²×C₈	—	73	1	no	—
217	C₂²×C₈	—	73	1	no	—
218	C₂²×C₈	—	73	1	no	—
219	C₂²×C₈	—	73	4	no	—
220	C₂²×C₈	—	73	4	no	—
221	C₂²×C₈	—	73	1	no	—
222	C₂²×C₈	—	73	1	no	—
223	C₂²×C₈	—	73	4	no	—
224	C₂²×C₈	—	146	4	no	—
225	C₂²×C₈	—	146	1	no	—
226	C₂²×C₈	—	146	2	no	—
227	C₂²×C₈	—	146	1	no	—
228	C₂²×C₈	#10596842	1	1	yes	characteristic, complemented
229	C₂×C₄²	—	73	1	no	—
230	C₂×C₄²	—	73	2	no	—
231	C₂×C₄²	—	73	1	no	—
232	C₂×C₄²	—	73	2	no	—
233	C₂×C₄²	—	73	1	no	—
234	C₂×C₄²	—	73	2	no	—
235	C₂×C₄²	—	73	2	no	—
236	C₂×C₄²	—	73	1	no	—
237	C₄⋊C₈	—	73	8	no	—
238	C₄⋊C₈	—	146	4	no	—
239	C₂²⋊C₈	—	146	8	no	—
240	C₄×C₈	—	73	2	no	—
241	C₄×C₈	—	73	2	no	—
242	C₄×C₈	—	73	2	no	—
243	C₄×C₈	—	73	2	no	—
244	C₄×C₈	—	73	4	no	—
245	C₄×C₈	—	73	4	no	—
246	C₄×C₈	—	146	8	no	—
247	C₂⁴	—	73	1	no	—
248	C₂²×C₄	—	73	1	no	—
249	C₂²×C₄	—	73	1	no	—
250	C₂²×C₄	—	73	1	no	—
251	C₂²×C₄	—	73	2	no	—
252	C₂²×C₄	—	73	2	no	—
253	C₂²×C₄	—	73	1	no	—
254	C₂²×C₄	—	73	1	no	—
255	C₂²×C₄	—	73	1	no	—
256	C₂²×C₄	—	73	2	no	—
257	C₂²×C₄	—	73	1	no	—
258	C₂²×C₄	—	73	2	no	—
259	C₂²×C₄	—	73	2	no	—
260	C₂²×C₄	—	73	2	no	—
261	C₂²×C₄	—	73	1	no	—
262	C₂²×C₄	—	73	2	no	—
263	C₂²×C₄	—	73	2	no	—
264	C₂²×C₄	—	73	1	no	—
265	C₂²×C₄	—	146	4	no	—
266	C₂²×C₄	—	146	4	no	—
267	C₂²×C₄	C₂×#10596842	1	1	yes	characteristic
268	C₂×C₈	—	292	8	no	—
269	C₂×C₈	—	73	1	no	—
270	C₂×C₈	—	73	1	no	—
271	C₂×C₈	—	73	4	no	—
272	C₂×C₈	—	73	2	no	—
273	C₂×C₈	—	73	2	no	—
274	C₂×C₈	—	73	4	no	—
275	C₂×C₈	—	73	4	no	—
276	C₂×C₈	—	73	2	no	—
277	C₂×C₈	—	73	2	no	—
278	C₂×C₈	—	73	2	no	—
279	C₂×C₈	—	73	2	no	—
280	C₂×C₈	—	146	8	no	—
281	C₂×C₈	—	146	4	no	—
282	C₂×C₈	—	146	1	no	—
283	C₂×C₈	—	146	1	no	—
284	C₂×C₈	—	146	1	no	—
285	C₂×C₈	—	146	1	no	—
286	C₂×C₈	—	146	4	no	—
287	C₂×C₈	C₂×#10596842	1	1	yes	characteristic
288	C₂×C₈	C₂×#10596842	1	1	yes	characteristic
289	C₂×C₈	C₂×#10596842	1	4	yes	complemented
290	C₄²	—	73	2	no	—
291	C₄²	—	73	2	no	—
292	C₄²	—	73	2	no	—
293	C₄²	—	73	1	no	—
294	C₄²	—	73	2	no	—
295	C₄²	—	73	2	no	—
296	C₄²	—	73	1	no	—
297	C₄²	—	73	1	no	—
298	C₄²	—	73	2	no	—
299	C₄²	—	73	1	no	—
300	C₂³	—	73	1	no	—
301	C₂³	—	73	2	no	—
302	C₂³	—	73	2	no	—
303	C₂³	—	73	1	no	—
304	C₂³	—	146	2	no	—
305	C₂³	—	146	2	no	—
306	C₂³	C₄⋊#10596842	1	1	yes	characteristic
307	C₂×C₄	—	73	1	no	—
308	C₂×C₄	—	73	1	no	—
309	C₂×C₄	—	73	2	no	—
310	C₂×C₄	—	73	4	no	—
311	C₂×C₄	—	73	4	no	—
312	C₂×C₄	—	73	2	no	—
313	C₂×C₄	—	73	1	no	—
314	C₂×C₄	—	73	2	no	—
315	C₂×C₄	—	73	1	no	—
316	C₂×C₄	—	73	1	no	—
317	C₂×C₄	—	73	2	no	—
318	C₂×C₄	—	73	1	no	—
319	C₂×C₄	—	73	2	no	—
320	C₂×C₄	—	73	2	no	—
321	C₂×C₄	—	73	2	no	—
322	C₂×C₄	—	73	2	no	—
323	C₂×C₄	—	73	1	no	—
324	C₂×C₄	—	73	1	no	—
325	C₂×C₄	—	73	2	no	—
326	C₂×C₄	—	73	1	no	—
327	C₂×C₄	—	73	2	no	—
328	C₂×C₄	—	73	1	no	—
329	C₂×C₄	—	146	4	no	—
330	C₂×C₄	—	146	4	no	—
331	C₂×C₄	—	146	4	no	—
332	C₂×C₄	—	146	4	no	—
333	C₂×C₄	—	146	2	no	—
334	C₂×C₄	—	146	2	no	—
335	C₂×C₄	C₄⋊#10596842	1	2	yes	—
336	C₂×C₄	C₄⋊#10596842	1	1	yes	characteristic
337	C₂×C₄	C₂²×#10596842	1	1	yes	characteristic
338	C₂×C₄	C₂²×#10596842	1	2	yes	—
339	C₈	—	292	8	no	—
340	C₈	—	73	2	no	—
341	C₈	—	73	2	no	—
342	C₈	—	146	2	no	—
343	C₈	—	146	2	no	—
344	C₈	C₂²×#10596842	1	2	yes	—
345	C₈	C₂²×#10596842	1	2	yes	—
346	C₂²	—	2	2	no	—
347	C₂²	—	73	1	no	—
348	C₂²	—	73	1	no	—
349	C₂²	—	73	2	no	—
350	C₂²	—	73	2	no	—
351	C₂²	—	73	2	no	—
352	C₂²	—	146	2	no	—
353	C₂²	—	146	2	no	—
354	C₂²	—	146	4	no	—
355	C₂²	—	146	2	no	—
356	C₂²	C₂×C₄⋊#10596842	1	2	yes	—
357	C₂²	C₂×C₄⋊#10596842	1	1	yes	characteristic
358	C₄	—	73	2	no	—
359	C₄	—	73	2	no	—
360	C₄	—	73	4	no	—
361	C₄	—	73	1	no	—
362	C₄	—	73	2	no	—
363	C₄	—	73	1	no	—
364	C₄	—	146	2	no	—
365	C₄	—	146	1	no	—
366	C₄	—	146	1	no	—
367	C₄	C₂×C₄⋊#10596842	1	1	yes	characteristic
368	C₄	C₂×C₄⋊#10596842	1	2	yes	—
369	C₄	C₂³×#10596842	1	1	yes	characteristic
370	C₂	—	2	2	no	—
371	C₂	—	73	1	no	—
372	C₂	—	73	1	no	—
373	C₂	—	73	2	no	—
374	C₂	—	146	2	no	—
375	C₂	#22627055	1	2	yes	direct product factor
376	C₂	C₂²×C₄⋊#10596842	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₄⋊#10596842
commutator	C₄×C₇₃	C₂³×C₈
Frattini	C₄	C₂³×#10596842
Fitting	C₂²×C₈×C₇₃	C₈
socle	C₂²×C₇₃	C₂×C₄⋊C₈
prime radical	C₂³×D₇₃	C₄⋊C₄
cosocle	C₄×#64408	C₂⁴
hypercenter	C₂²×C₈	#10596842
hypocenter	C₇₃	C₂×#1564
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄ ◁ C₂²×C₈

Complements

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

N	H ≅ G/N	type
2. #22627055	C₂	direct (N × H)
3. C₂×#17989677	C₂	semidirect
4. C₂×#17989676	C₂	semidirect
11. #17989677	C₂²	semidirect
12. #17989676	C₂²	semidirect
50. C₂²×#10596831	C₈	semidirect
51. C₂×C₈×D₇₃	C₈	semidirect
52. C₂×C₈×D₇₃	C₈	semidirect
53. C₂×C₈×D₇₃	C₈	semidirect
57. C₂²×C₈×C₇₃	C₈	semidirect
100. C₂×#10596831	C₂×C₈	semidirect
103. C₈×D₇₃	C₂×C₈	semidirect
104. C₈×D₇₃	C₂×C₈	semidirect
110. C₂×C₈×C₇₃	C₂×C₈	semidirect
183. C₂×C₇₃	#1564	semidirect
186. D₇₃	#1564	semidirect
194. C₇₃	C₂×#1564	semidirect
228. C₂²×C₈	#10596842	semidirect
289. C₂×C₈	C₂×#10596842	semidirect
375. C₂	#22627055	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×#17989700	2
#22627055	2
C₂×#17989677	2
C₂×#17989676	2
C₂²×C₈×#64408	2
C₂×#1564	73

Subgroups — C2×#22627055 #34034514

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22627055 #34034514