Subgroups — C₂×#21426219 #28743250

Order 15104.

638 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14273673	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#16837819	C₂	1	1	yes	maximal, characteristic
3	C₂×#16837677	C₂	1	1	yes	maximal, characteristic
4	#21426219	C₂	1	8	yes	maximal, direct product factor
5	C₂×#16837231	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16837218	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16837217	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅₉×#473	C₂	1	1	yes	maximal, characteristic
9	C₂×#14273757	—	2	1	no	—
10	C₂²×Dic₂₃₆	C₂²	1	1	yes	characteristic
11	C₂×#14273673	—	2	1	no	—
12	C₂×#14273673	—	2	1	no	—
13	C₂×#14273673	—	2	2	no	—
14	C₂×#14273673	C₂²	1	4	yes	complemented
15	#16837819	—	2	2	no	—
16	#16837819	C₂²	1	4	yes	—
17	C₂×#14273667	—	2	1	no	—
18	C₂×#14273667	C₂²	1	1	yes	characteristic
19	C₂²×C₅₉⋊C₁₆	—	2	1	no	—
20	C₂²×C₅₉⋊C₁₆	C₂²	1	1	yes	characteristic
21	#16837677	—	2	2	no	—
22	#16837677	C₂²	1	4	yes	—
23	C₂×#14273663	C₂²	1	1	yes	characteristic
24	C₂×#14273645	—	2	1	no	—
25	#16837231	C₂²	1	4	yes	complemented
26	#16837218	C₂²	1	4	yes	complemented
27	#16837217	C₂²	1	4	yes	complemented
28	C₂×#137×C₅₉	—	2	1	no	—
29	C₂²×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
30	C₂×#131×C₅₉	C₂²	1	1	yes	characteristic
31	C₅₉×#473	—	2	2	no	—
32	C₅₉×#473	C₂²	1	4	yes	—
33	C₂×#108×C₅₉	C₂²	1	1	yes	characteristic
34	C₂×#101×C₅₉	—	2	1	no	—
35	C₂²×Dic₁₁₈	—	2	1	no	—
36	#14273757	—	2	4	no	—
37	#14273757	—	4	2	no	—
38	C₂×Dic₂₃₆	—	2	1	no	—
39	C₂×Dic₂₃₆	—	2	1	no	—
40	C₂×Dic₂₃₆	—	2	1	no	—
41	C₂×Dic₂₃₆	—	2	1	no	—
42	C₂×Dic₂₃₆	—	2	1	no	—
43	C₂×Dic₂₃₆	C₂³	1	2	yes	—
44	C₂×#11745672	—	4	1	no	—
45	C₂×#11745670	—	4	1	no	—
46	C₂×#11745664	—	2	1	no	—
47	#14273673	—	2	4	no	—
48	#14273673	—	2	4	no	—
49	#14273667	—	2	1	no	—
50	#14273667	—	2	4	no	—
51	#14273667	C₂³	1	2	yes	—
52	C₂×C₅₉⋊C₁₆	—	2	1	no	—
53	C₂×C₅₉⋊C₁₆	—	2	4	no	—
54	C₂×C₅₉⋊C₁₆	D₄	1	1	yes	characteristic
55	C₂×C₅₉⋊C₁₆	D₄	1	1	yes	characteristic
56	C₂×C₅₉⋊C₁₆	D₄	1	2	yes	—
57	C₂×C₅₉⋊C₁₆	C₂³	1	2	yes	—
58	#14273663	—	2	1	no	—
59	#14273663	C₂³	1	2	yes	—
60	#14273645	—	2	4	no	—
61	C₂×#41×C₅₉	D₄	1	1	yes	characteristic
62	C₂²×Q₈×C₅₉	—	2	1	no	—
63	#137×C₅₉	—	2	4	no	—
64	#137×C₅₉	—	4	2	no	—
65	C₂×Q₁₆×C₅₉	—	2	1	no	—
66	C₂×Q₁₆×C₅₉	—	2	1	no	—
67	C₂×Q₁₆×C₅₉	—	2	1	no	—
68	C₂×Q₁₆×C₅₉	—	2	1	no	—
69	C₂×Q₁₆×C₅₉	—	2	1	no	—
70	C₂×Q₁₆×C₅₉	—	4	1	no	—
71	C₂×Q₁₆×C₅₉	C₂³	1	2	yes	—
72	C₂×SD₁₆×C₅₉	—	4	1	no	—
73	#131×C₅₉	—	2	1	no	—
74	#131×C₅₉	—	2	1	no	—
75	#131×C₅₉	D₄	1	2	yes	—
76	#131×C₅₉	C₂³	1	2	yes	—
77	C₂×M₁₆×C₅₉	—	2	1	no	—
78	C₂×M₁₆×C₅₉	—	2	1	no	—
79	C₂×M₁₆×C₅₉	D₄	1	1	yes	characteristic
80	C₂²×C₈×C₅₉	—	2	1	no	—
81	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
82	#108×C₅₉	—	2	1	no	—
83	#108×C₅₉	C₂³	1	2	yes	—
84	#101×C₅₉	—	2	4	no	—
85	#41×C₅₉	—	2	1	no	—
86	#41×C₅₉	—	2	1	no	—
87	#41×C₅₉	D₈	1	2	yes	—
88	#41×C₅₉	C₂×D₄	1	2	yes	—
89	C₂×Q₈×C₅₉	—	2	2	no	—
90	C₂×Q₈×C₅₉	—	4	1	no	—
91	C₂×Q₈×C₅₉	—	4	1	no	—
92	C₂×Q₈×C₅₉	—	4	1	no	—
93	C₂×Q₈×C₅₉	—	4	1	no	—
94	C₂×Q₈×C₅₉	—	4	1	no	—
95	C₂×Q₈×C₅₉	D₈	1	1	yes	characteristic
96	C₂×D₄×C₅₉	—	2	1	no	—
97	C₂×D₄×C₅₉	D₈	1	1	yes	characteristic
98	C₂²×C₄×C₅₉	—	2	1	no	—
99	C₂²×C₄×C₅₉	—	4	1	no	—
100	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
101	C₂²×Dic₅₉	—	4	1	no	—
102	C₂×Dic₁₁₈	—	2	2	no	—
103	C₂×Dic₁₁₈	—	4	1	no	—
104	C₂×Dic₁₁₈	—	4	1	no	—
105	C₂×Dic₁₁₈	—	4	1	no	—
106	C₂×Dic₁₁₈	—	4	1	no	—
107	C₂×Dic₁₁₈	—	4	1	no	—
108	Q₁₆×C₅₉	—	2	2	no	—
109	Q₁₆×C₅₉	—	2	2	no	—
110	Q₁₆×C₅₉	—	4	4	no	—
111	Q₁₆×C₅₉	—	4	1	no	—
112	Q₁₆×C₅₉	—	4	1	no	—
113	SD₁₆×C₅₉	—	4	4	no	—
114	M₁₆×C₅₉	—	2	1	no	—
115	M₁₆×C₅₉	—	2	2	no	—
116	M₁₆×C₅₉	—	2	2	no	—
117	M₁₆×C₅₉	—	2	2	no	—
118	M₁₆×C₅₉	—	4	1	no	—
119	M₁₆×C₅₉	C₂×D₄	1	2	yes	—
120	C₂×C₈×C₅₉	—	2	1	no	—
121	C₂×C₈×C₅₉	—	2	2	no	—
122	C₂×C₈×C₅₉	—	2	2	no	—
123	C₂×C₈×C₅₉	—	4	1	no	—
124	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₅₉	#41	1	1	yes	characteristic
128	C₂×C₈×C₅₉	#41	1	1	yes	characteristic
129	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
130	#11745672	—	4	4	no	—
131	#11745670	—	4	4	no	—
132	#11745664	—	2	2	no	—
133	#11745664	—	4	1	no	—
134	C₂×C₅₉⋊C₈	—	4	1	no	—
135	Dic₂₃₆	—	2	2	no	—
136	Dic₂₃₆	—	2	2	no	—
137	Dic₂₃₆	—	4	1	no	—
138	Dic₂₃₆	—	4	1	no	—
139	C₅₉⋊C₁₆	—	2	2	no	—
140	C₅₉⋊C₁₆	C₂×D₄	1	2	yes	—
141	C₅₉⋊C₁₆	C₂×D₄	1	2	yes	—
142	C₂³×C₅₉	—	2	1	no	—
143	C₂³×C₅₉	#135	1	1	yes	characteristic
144	Q₈×C₅₉	—	2	1	no	—
145	Q₈×C₅₉	—	4	2	no	—
146	Q₈×C₅₉	—	4	2	no	—
147	Q₈×C₅₉	—	8	1	no	—
148	Q₈×C₅₉	—	8	1	no	—
149	Q₈×C₅₉	C₂×D₈	1	2	yes	—
150	D₄×C₅₉	—	2	2	no	—
151	D₄×C₅₉	—	2	2	no	—
152	D₄×C₅₉	—	2	1	no	—
153	D₄×C₅₉	C₂×D₈	1	2	yes	—
154	C₂×C₄×C₅₉	—	2	1	no	—
155	C₂×C₄×C₅₉	—	2	2	no	—
156	C₂×C₄×C₅₉	—	2	2	no	—
157	C₂×C₄×C₅₉	—	4	2	no	—
158	C₂×C₄×C₅₉	—	8	1	no	—
159	C₂×C₄×C₅₉	—	8	1	no	—
160	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₅₉	#135	1	1	yes	characteristic
165	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
166	C₂×Dic₅₉	—	4	2	no	—
167	C₂×Dic₅₉	—	8	1	no	—
168	C₂×Dic₅₉	—	8	1	no	—
169	Dic₁₁₈	—	4	2	no	—
170	Dic₁₁₈	—	4	2	no	—
171	Dic₁₁₈	—	8	1	no	—
172	Dic₁₁₈	—	8	1	no	—
173	C₈×C₅₉	—	2	2	no	—
174	C₈×C₅₉	—	4	2	no	—
175	C₈×C₅₉	#121	1	1	yes	characteristic
176	C₈×C₅₉	#121	1	1	yes	characteristic
177	C₈×C₅₉	C₂²×D₄	1	1	yes	characteristic
178	C₈×C₅₉	C₂×#41	1	1	yes	characteristic
179	C₅₉⋊C₈	—	4	2	no	—
180	C₂×#2222	—	59	1	no	maximal, Sylow
181	C₂²×C₅₉	—	2	2	no	—
182	C₂²×C₅₉	—	2	2	no	—
183	C₂²×C₅₉	—	4	2	no	—
184	C₂²×C₅₉	#466	1	1	yes	characteristic
185	C₂²×C₅₉	#466	1	1	yes	characteristic
186	C₂²×C₅₉	C₂×#135	1	1	yes	characteristic
187	C₄×C₅₉	—	2	2	no	—
188	C₄×C₅₉	—	8	2	no	—
189	C₄×C₅₉	#466	1	1	yes	characteristic
190	C₄×C₅₉	#466	1	1	yes	characteristic
191	C₄×C₅₉	C₂×#121	1	1	yes	characteristic
192	C₄×C₅₉	C₂²×D₈	1	1	yes	characteristic
193	Dic₅₉	—	8	2	no	—
194	C₂²×Q₃₂	—	59	1	no	—
195	C₂×#504	—	59	1	no	—
196	C₂×#473	—	59	1	no	—
197	C₂×#473	D₅₉	1	1	yes	characteristic
198	#2222	—	59	8	no	—
199	C₂×#368	—	59	1	no	—
200	C₂×#362	—	59	1	no	—
201	C₂×#362	—	59	1	no	—
202	C₂×C₅₉	—	2	1	no	—
203	C₂×C₅₉	—	2	1	no	—
204	C₂×C₅₉	—	4	2	no	—
205	C₂×C₅₉	#2222	1	2	yes	complemented
206	C₂×C₅₉	C₂×#466	1	1	yes	characteristic
207	C₂×#137	—	2	1	no	—
208	C₂×#137	—	118	1	no	—
209	C₂²×Q₁₆	—	59	1	no	—
210	C₂²×Q₁₆	C₂×D₅₉	1	1	yes	characteristic
211	C₂×#131	C₂×D₅₉	1	1	yes	characteristic
212	C₂×Q₃₂	—	59	4	no	—
213	C₂×Q₃₂	—	118	1	no	—
214	C₂×Q₃₂	—	118	1	no	—
215	C₂×Q₃₂	—	118	2	no	—
216	#504	—	59	4	no	—
217	#504	—	118	2	no	—
218	C₂×M₃₂	—	59	1	no	—
219	C₂×M₃₂	—	118	1	no	—
220	C₂²×C₁₆	—	59	1	no	—
221	C₂²×C₁₆	—	118	1	no	—
222	#473	—	2	2	no	—
223	#473	—	59	4	no	—
224	#473	—	118	2	no	—
225	#473	C₂×D₅₉	1	4	yes	—
226	C₂×#108	—	59	1	no	—
227	C₂×#108	C₂×D₅₉	1	1	yes	characteristic
228	C₂×#101	—	2	1	no	—
229	C₂×#101	—	118	1	no	—
230	#368	—	59	4	no	—
231	#362	—	59	4	no	—
232	#362	—	59	4	no	—
233	C₅₉	C₂×#2222	1	1	yes	characteristic, complemented, Sylow
234	C₂×#41	C₂²⋊D₅₉	1	1	yes	characteristic
235	C₂²×Q₈	—	2	1	no	—
236	C₂²×Q₈	—	118	1	no	—
237	#137	—	2	4	no	—
238	#137	—	4	2	no	—
239	#137	—	118	4	no	—
240	#137	—	236	2	no	—
241	C₂×Q₁₆	—	2	1	no	—
242	C₂×Q₁₆	—	2	1	no	—
243	C₂×Q₁₆	—	2	1	no	—
244	C₂×Q₁₆	—	2	1	no	—
245	C₂×Q₁₆	—	2	1	no	—
246	C₂×Q₁₆	—	4	1	no	—
247	C₂×Q₁₆	—	59	2	no	—
248	C₂×Q₁₆	—	118	1	no	—
249	C₂×Q₁₆	—	118	1	no	—
250	C₂×Q₁₆	—	118	1	no	—
251	C₂×Q₁₆	—	118	1	no	—
252	C₂×Q₁₆	—	118	1	no	—
253	C₂×Q₁₆	—	236	1	no	—
254	C₂×Q₁₆	C₂²×D₅₉	1	2	yes	—
255	C₂×SD₁₆	—	4	1	no	—
256	C₂×SD₁₆	—	236	1	no	—
257	#131	—	2	1	no	—
258	#131	—	2	1	no	—
259	#131	C₂²⋊D₅₉	1	2	yes	—
260	#131	C₂²×D₅₉	1	2	yes	—
261	C₂×M₁₆	—	2	1	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂×M₁₆	—	118	1	no	—
264	C₂×M₁₆	C₂²⋊D₅₉	1	1	yes	characteristic
265	C₂²×C₈	—	2	1	no	—
266	C₂²×C₈	C₂²×D₅₉	1	1	yes	characteristic
267	Q₃₂	—	118	4	no	—
268	Q₃₂	—	118	4	no	—
269	M₃₂	—	59	2	no	—
270	M₃₂	—	118	4	no	—
271	M₃₂	—	118	1	no	—
272	C₂×C₁₆	—	59	1	no	—
273	C₂×C₁₆	—	59	1	no	—
274	C₂×C₁₆	—	59	2	no	—
275	C₂×C₁₆	—	59	2	no	—
276	C₂×C₁₆	—	118	4	no	—
277	C₂×C₁₆	—	118	1	no	—
278	#108	—	2	1	no	—
279	#108	—	59	2	no	—
280	#108	—	118	1	no	—
281	#108	C₂²×D₅₉	1	2	yes	—
282	#101	—	2	4	no	—
283	#101	—	118	4	no	—
284	#41	—	2	1	no	—
285	#41	—	2	1	no	—
286	#41	#11745669	1	2	yes	—
287	#41	C₂×C₂²⋊D₅₉	1	2	yes	—
288	C₂×Q₈	—	2	2	no	—
289	C₂×Q₈	—	4	1	no	—
290	C₂×Q₈	—	4	1	no	—
291	C₂×Q₈	—	4	1	no	—
292	C₂×Q₈	—	4	1	no	—
293	C₂×Q₈	—	4	1	no	—
294	C₂×Q₈	—	118	2	no	—
295	C₂×Q₈	—	236	1	no	—
296	C₂×Q₈	—	236	1	no	—
297	C₂×Q₈	—	236	1	no	—
298	C₂×Q₈	—	236	1	no	—
299	C₂×Q₈	—	236	1	no	—
300	C₂×Q₈	#11745669	1	1	yes	characteristic
301	C₂×D₄	—	2	1	no	—
302	C₂×D₄	#11745669	1	1	yes	characteristic
303	C₂²×C₄	—	2	1	no	—
304	C₂²×C₄	—	4	1	no	—
305	C₂²×C₄	—	236	1	no	—
306	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
307	Q₁₆	—	2	2	no	—
308	Q₁₆	—	2	2	no	—
309	Q₁₆	—	4	4	no	—
310	Q₁₆	—	4	1	no	—
311	Q₁₆	—	4	1	no	—
312	Q₁₆	—	118	2	no	—
313	Q₁₆	—	118	2	no	—
314	Q₁₆	—	236	4	no	—
315	Q₁₆	—	236	1	no	—
316	Q₁₆	—	236	1	no	—
317	SD₁₆	—	4	4	no	—
318	SD₁₆	—	236	4	no	—
319	M₁₆	—	2	1	no	—
320	M₁₆	—	2	2	no	—
321	M₁₆	—	2	2	no	—
322	M₁₆	—	2	2	no	—
323	M₁₆	—	4	1	no	—
324	M₁₆	—	118	2	no	—
325	M₁₆	—	236	1	no	—
326	M₁₆	C₂×C₂²⋊D₅₉	1	2	yes	—
327	C₂×C₈	—	2	1	no	—
328	C₂×C₈	—	2	2	no	—
329	C₂×C₈	—	2	2	no	—
330	C₂×C₈	—	4	1	no	—
331	C₂×C₈	—	236	1	no	—
332	C₂×C₈	D₄×D₅₉	1	1	yes	characteristic
333	C₂×C₈	D₄×D₅₉	1	1	yes	characteristic
334	C₂×C₈	#11745687	1	1	yes	characteristic
335	C₂×C₈	#11745687	1	1	yes	characteristic
336	C₂×C₈	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
337	C₂×C₈	C₂³×D₅₉	1	1	yes	characteristic
338	C₁₆	—	59	2	no	—
339	C₁₆	—	59	2	no	—
340	C₁₆	—	118	2	no	—
341	C₂³	—	2	1	no	—
342	C₂³	#14273747	1	1	yes	characteristic
343	Q₈	—	2	1	no	—
344	Q₈	—	4	2	no	—
345	Q₈	—	4	2	no	—
346	Q₈	—	8	1	no	—
347	Q₈	—	8	1	no	—
348	Q₈	—	472	1	no	—
349	Q₈	—	472	1	no	—
350	Q₈	—	236	2	no	—
351	Q₈	—	236	2	no	—
352	Q₈	C₂×#11745669	1	2	yes	—
353	D₄	—	2	2	no	—
354	D₄	—	2	2	no	—
355	D₄	—	2	1	no	—
356	D₄	C₂×#11745669	1	2	yes	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	8	1	no	—
362	C₂×C₄	—	8	1	no	—
363	C₂×C₄	—	472	1	no	—
364	C₂×C₄	—	472	1	no	—
365	C₂×C₄	—	236	2	no	—
366	C₂×C₄	#14273699	1	1	yes	characteristic
367	C₂×C₄	#14273699	1	1	yes	characteristic
368	C₂×C₄	C₂×#11745669	1	1	yes	characteristic
369	C₂×C₄	C₂×#11745669	1	1	yes	characteristic
370	C₂×C₄	#14273747	1	1	yes	characteristic
371	C₂×C₄	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
372	C₈	—	2	2	no	—
373	C₈	—	4	2	no	—
374	C₈	—	236	2	no	—
375	C₈	#14273699	1	1	yes	characteristic
376	C₈	#14273699	1	1	yes	characteristic
377	C₈	C₂×D₄×D₅₉	1	1	yes	characteristic
378	C₈	C₂×#11745687	1	1	yes	characteristic
379	C₂²	—	2	2	no	—
380	C₂²	—	2	2	no	—
381	C₂²	—	4	2	no	—
382	C₂²	#16837636	1	1	yes	characteristic
383	C₂²	#16837636	1	1	yes	characteristic
384	C₂²	C₂×#14273747	1	1	yes	characteristic
385	C₄	—	2	2	no	—
386	C₄	—	8	2	no	—
387	C₄	—	472	2	no	—
388	C₄	#16837636	1	1	yes	characteristic
389	C₄	#16837636	1	1	yes	characteristic
390	C₄	C₂×#14273699	1	1	yes	characteristic
391	C₄	C₂²×#11745669	1	1	yes	characteristic
392	C₂	—	2	1	no	—
393	C₂	—	2	1	no	—
394	C₂	—	4	2	no	—
395	C₂	#21426219	1	2	yes	direct product factor
396	C₂	C₂×#16837636	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#16837636
commutator, cosocle	C₂×C₈×C₅₉	C₂⁴
Frattini	C₂×C₈	C₂³×D₅₉
Fitting	C₂×C₅₉×#473	C₂
socle	C₂²×C₅₉	#466
prime radical	C₂×#41×C₅₉	D₄
hypercenter	C₂×#473	D₅₉
hypocenter	C₅₉	C₂×#2222
LCS	G ▷ C₂×C₈×C₅₉ ▷ C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ C₂×#473

Complements

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

N	H ≅ G/N	type
1. C₂²×#14273673	C₂	semidirect
4. #21426219	C₂	direct (N × H)
5. C₂×#16837231	C₂	semidirect
6. C₂×#16837218	C₂	semidirect
7. C₂×#16837217	C₂	semidirect
14. C₂×#14273673	C₂²	semidirect
25. #16837231	C₂²	semidirect
26. #16837218	C₂²	semidirect
27. #16837217	C₂²	semidirect
205. C₂×C₅₉	#2222	semidirect
233. C₅₉	C₂×#2222	semidirect
395. C₂	#21426219	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#14273673	2
C₂×#16837819	2
C₂×#16837677	2
#21426219	2
C₂×#16837231	2
C₂×#16837218	2
C₂×#16837217	2
C₂×C₅₉×#473	2
C₂×#2222	59

Subgroups — C2×#21426219 #28743250

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#21426219 #28743250