Subgroups — C₂×#72213800 #72233725

Order 2048.

At least 8716 conjugacy classes of subgroups; only the 1680 normal subgroups are shown.

The subgroup lattice has 682 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#6346626	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#185257	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#184979	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#235245	C₂	1	2	yes	maximal, complemented
5	C₂×#112929	C₂	1	2	yes	maximal, complemented
6	C₂×#10575142	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#113024	C₂	1	2	yes	maximal, complemented
8	C₂×#201616	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#106328	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#4929019	C₂	1	1	yes	maximal, characteristic, complemented
11	#72213800	C₂	1	16	yes	maximal, direct product factor
12	C₂×#233610	C₂	1	2	yes	maximal, complemented
13	C₂×#62814	C₂²	1	1	yes	characteristic
14	C₂³×#518	C₂²	1	1	yes	characteristic
15	#10575142	C₂²	1	8	yes	complemented
16	C₂×#60558	C₂²	1	2	yes	—
17	C₂×#60558	C₂²	1	2	yes	—
18	C₂×#60558	C₂²	1	2	yes	complemented
19	C₂×#60124	C₂²	1	1	yes	characteristic
20	C₂²×#2535	C₂²	1	1	yes	characteristic, complemented
21	C₂²×#2598	C₂²	1	1	yes	characteristic
22	C₂²×#2397	C₂²	1	1	yes	characteristic, complemented
23	C₂×#21417	C₂²	1	2	yes	complemented
24	#6346626	C₂²	1	8	yes	complemented
25	C₂×#17593	C₂²	1	2	yes	complemented
26	C₂×#17588	C₂²	1	2	yes	complemented
27	C₂×#17448	C₂²	1	2	yes	complemented
28	C₂×#17448	C₂²	1	2	yes	complemented
29	C₂×#17448	C₂²	1	2	yes	complemented
30	C₂×#17357	C₂²	1	1	yes	characteristic
31	C₂×#17357	C₂²	1	1	yes	characteristic
32	#4929019	C₂²	1	8	yes	complemented
33	C₂×#14345	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13959	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13957	C₂²	1	1	yes	characteristic
36	#235245	C₂²	1	16	yes	complemented
37	#233610	C₂²	1	16	yes	complemented
38	#201616	C₂²	1	8	yes	complemented
39	#185257	C₂²	1	8	yes	complemented
40	#184979	C₂²	1	8	yes	complemented
41	C₂×#7975	C₂²	1	2	yes	complemented
42	C₂×#7959	C₂²	1	2	yes	complemented
43	C₂×#7855	C₂²	1	2	yes	complemented
44	#113024	C₂²	1	16	yes	complemented
45	#112929	C₂²	1	16	yes	complemented
46	#106328	C₂²	1	8	yes	complemented
47	C₂⁵×D₄	D₄	1	1	yes	characteristic
48	#62814	D₄	1	4	yes	complemented
49	#62814	C₂³	1	4	yes	—
50	C₂×#3455	D₄	1	2	yes	complemented
51	C₂×#3458	D₄	1	1	yes	characteristic, complemented
52	C₂×#3449	D₄	1	1	yes	characteristic, complemented
53	C₂×#3444	C₂³	1	2	yes	—
54	C₂²×#518	D₄	1	4	yes	—
55	C₂²×#518	C₂³	1	4	yes	—
56	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
57	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
58	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
59	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
60	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
61	C₂³×#117	D₄	1	1	yes	characteristic
62	C₂³×#117	C₂³	1	1	yes	characteristic
63	#60558	D₄	1	8	yes	complemented
64	#60558	D₄	1	8	yes	complemented
65	#60558	C₂³	1	8	yes	—
66	#60558	C₂³	1	8	yes	—
67	#60558	C₂³	1	8	yes	complemented
68	C₂×#3101	D₄	1	4	yes	complemented
69	C₂×#3101	D₄	1	4	yes	complemented
70	C₂×#3100	D₄	1	4	yes	complemented
71	C₂×#3100	D₄	1	4	yes	complemented
72	#60124	D₄	1	4	yes	complemented
73	#60124	C₂³	1	4	yes	—
74	C₂×#2921	D₄	1	2	yes	complemented
75	C₂×#2920	C₂³	1	2	yes	—
76	C₂×#2920	C₂³	1	2	yes	—
77	C₂×#2920	C₂³	1	2	yes	—
78	C₂×#2873	D₄	1	2	yes	complemented
79	C₂×#2535	C₂³	1	4	yes	complemented
80	C₂×#2598	D₄	1	4	yes	—
81	C₂×#2598	C₂³	1	4	yes	—
82	C₂×#2397	C₂³	1	4	yes	complemented
83	C₂²×#400	D₄	1	1	yes	characteristic
84	C₂²×#399	D₄	1	1	yes	characteristic
85	C₂²×#394	D₄	1	1	yes	characteristic
86	C₂²×#392	D₄	1	1	yes	characteristic
87	C₂²×#383	C₂³	1	1	yes	characteristic
88	C₂²×#382	C₂³	1	1	yes	characteristic
89	C₂²×#376	C₂³	1	1	yes	characteristic
90	#21417	C₂³	1	8	yes	complemented
91	#17593	C₂³	1	8	yes	complemented
92	#17588	C₂³	1	8	yes	complemented
93	#17448	C₂³	1	8	yes	complemented
94	#17448	C₂³	1	8	yes	complemented
95	#17448	C₂³	1	8	yes	complemented
96	#17357	D₄	1	4	yes	complemented
97	#17357	C₂³	1	4	yes	—
98	#17357	C₂³	1	4	yes	—
99	C₂×#1458	D₄	1	2	yes	complemented
100	C₂×#1458	D₄	1	2	yes	complemented
101	#14345	C₂³	1	4	yes	complemented
102	#13959	C₂³	1	4	yes	complemented
103	#13957	D₄	1	4	yes	—
104	#13957	C₂³	1	4	yes	—
105	C₂×#1437	D₄	1	2	yes	—
106	C₂×#1436	D₄	1	2	yes	—
107	#7975	C₂³	1	8	yes	complemented
108	#7959	C₂³	1	8	yes	complemented
109	#7855	C₂³	1	8	yes	complemented
110	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
111	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
112	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
113	C₂⁴×D₄	C₂×D₄	1	4	yes	—
114	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
115	#3458	C₂×D₄	1	4	yes	complemented
116	#3455	C₂×D₄	1	8	yes	complemented
117	#3449	C₂×D₄	1	4	yes	complemented
118	#3444	C₂×D₄	1	4	yes	—
119	#3444	C₂×D₄	1	4	yes	—
120	#3444	C₂×D₄	1	4	yes	—
121	#3444	C₂⁴	1	4	yes	—
122	C₂×#533	C₂×D₄	1	2	yes	—
123	C₂×#533	C₂×D₄	1	2	yes	—
124	C₂×#533	C₂×D₄	1	2	yes	—
125	C₂×#532	C₂×D₄	1	2	yes	—
126	C₂×#532	C₂×D₄	1	2	yes	—
127	C₂×#532	C₂×D₄	1	2	yes	—
128	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
129	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
130	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
131	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
132	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
133	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
134	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
135	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
136	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
137	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
138	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
139	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
140	C₂²×#117	C₂×D₄	1	4	yes	—
141	C₂²×#117	C₂×D₄	1	2	yes	—
142	C₂²×#117	C₂×D₄	1	2	yes	—
143	C₂²×#117	C₂×D₄	1	1	yes	characteristic
144	C₂²×#117	C₂×D₄	1	1	yes	characteristic
145	C₂²×#117	C₂×D₄	1	1	yes	characteristic
146	C₂²×#117	C₂×D₄	1	1	yes	characteristic
147	C₂²×#117	C₂×D₄	1	2	yes	—
148	C₂²×#117	C₂×D₄	1	2	yes	—
149	C₂²×#117	C₂×D₄	1	2	yes	—
150	C₂²×#117	C₂×D₄	1	2	yes	—
151	C₂²×#117	C₂×D₄	1	1	yes	characteristic
152	C₂²×#117	C₂×D₄	1	1	yes	characteristic
153	C₂²×#117	#41	1	1	yes	characteristic
154	C₂²×#117	#41	1	1	yes	characteristic
155	C₂²×#117	#41	1	2	yes	—
156	C₂²×#117	C₂⁴	1	2	yes	—
157	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
158	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
159	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
160	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
161	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
162	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
163	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
164	C₂³×C₄²	C₂×D₄	1	2	yes	—
165	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
166	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
167	#3101	C₂×D₄	1	16	yes	complemented
168	#3101	C₂×D₄	1	16	yes	complemented
169	#3100	C₂×D₄	1	16	yes	complemented
170	#3100	C₂×D₄	1	16	yes	complemented
171	#2921	C₂×D₄	1	8	yes	complemented
172	#2920	C₂×D₄	1	4	yes	—
173	#2920	C₂×D₄	1	4	yes	—
174	#2920	C₂×D₄	1	4	yes	—
175	#2920	C₂×D₄	1	4	yes	—
176	#2920	C₂⁴	1	4	yes	—
177	#2920	C₂⁴	1	4	yes	—
178	#2920	C₂⁴	1	4	yes	—
179	C₂×#431	C₂×D₄	1	4	yes	—
180	C₂×#431	C₂×D₄	1	4	yes	—
181	C₂×#431	C₂×D₄	1	4	yes	—
182	#2873	C₂×D₄	1	8	yes	complemented
183	C₂×C₄×M₁₆	C₂×D₄	1	4	yes	—
184	C₂×#400	C₂×D₄	1	4	yes	—
185	C₂×#399	C₂×D₄	1	4	yes	—
186	C₂×#394	C₂×D₄	1	4	yes	—
187	C₂×#392	C₂×D₄	1	4	yes	—
188	C₂×#383	C₂×D₄	1	2	yes	—
189	C₂×#383	C₂⁴	1	2	yes	—
190	C₂×#382	C₂×D₄	1	2	yes	—
191	C₂×#382	C₂⁴	1	2	yes	—
192	C₂×#376	C₂×D₄	1	2	yes	—
193	C₂×#376	C₂⁴	1	2	yes	—
194	C₂²×#95	C₂×D₄	1	1	yes	characteristic
195	C₂²×#95	C₂×D₄	1	1	yes	characteristic
196	C₂²×#95	C₂×D₄	1	2	yes	—
197	#1458	C₂×D₄	1	8	yes	complemented
198	#1458	C₂×D₄	1	8	yes	complemented
199	#1437	C₂×D₄	1	8	yes	—
200	#1436	C₂×D₄	1	8	yes	—
201	C₂⁶	#120	1	1	yes	characteristic
202	C₂³×D₄	#120	1	2	yes	—
203	C₂³×D₄	#120	1	2	yes	—
204	C₂³×D₄	#120	1	2	yes	—
205	C₂³×D₄	#120	1	2	yes	—
206	C₂³×D₄	C₂²×D₄	1	2	yes	—
207	C₂³×D₄	C₂²×D₄	1	2	yes	—
208	C₂³×D₄	C₂²×D₄	1	2	yes	—
209	C₂⁴×C₄	#120	1	1	yes	characteristic
210	C₂⁴×C₄	#120	1	1	yes	characteristic
211	C₂⁴×C₄	#120	1	1	yes	characteristic
212	C₂⁴×C₄	#120	1	2	yes	—
213	C₂⁴×C₄	#120	1	1	yes	characteristic
214	C₂⁴×C₄	#120	1	1	yes	characteristic
215	C₂⁴×C₄	#120	1	2	yes	—
216	C₂⁴×C₄	#121	1	1	yes	characteristic
217	C₂⁴×C₄	#121	1	1	yes	characteristic
218	C₂⁴×C₄	#121	1	2	yes	—
219	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
220	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
221	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
222	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
223	#533	#120	1	4	yes	complemented
224	#533	#120	1	4	yes	complemented
225	#533	#120	1	4	yes	complemented
226	#533	C₂²×D₄	1	4	yes	—
227	#533	C₂²×D₄	1	4	yes	—
228	#533	C₂²×D₄	1	4	yes	—
229	#532	#120	1	4	yes	complemented
230	#532	#120	1	4	yes	complemented
231	#532	#120	1	4	yes	complemented
232	#532	C₂²×D₄	1	4	yes	—
233	#532	C₂²×D₄	1	4	yes	—
234	#532	C₂²×D₄	1	4	yes	—
235	C₂×C₄⋊Q₈	#120	1	2	yes	complemented
236	C₂×C₄⋊Q₈	#120	1	2	yes	complemented
237	C₂×C₄⋊Q₈	#120	1	2	yes	complemented
238	C₂×#127	#120	1	2	yes	complemented
239	C₂×C₄×D₄	#120	1	8	yes	—
240	C₂×C₄×D₄	#120	1	8	yes	—
241	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
242	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
243	C₂×#117	#120	1	2	yes	—
244	C₂×#117	#120	1	2	yes	—
245	C₂×#117	#120	1	2	yes	—
246	C₂×#117	#120	1	2	yes	—
247	C₂×#117	#120	1	2	yes	—
248	C₂×#117	#120	1	2	yes	—
249	C₂×#117	#120	1	2	yes	—
250	C₂×#117	#120	1	2	yes	—
251	C₂×#117	#121	1	2	yes	—
252	C₂×#117	#121	1	2	yes	—
253	C₂×#117	#121	1	2	yes	—
254	C₂×#117	#121	1	2	yes	—
255	C₂×#117	#121	1	2	yes	—
256	C₂×#117	#121	1	2	yes	—
257	C₂×#117	#121	1	2	yes	—
258	C₂×#117	#121	1	2	yes	—
259	C₂×#117	#121	1	2	yes	—
260	C₂×#117	#121	1	2	yes	—
261	C₂×#117	#121	1	2	yes	—
262	C₂×#117	#121	1	2	yes	—
263	C₂×#117	#127	1	2	yes	—
264	C₂×#117	#127	1	2	yes	—
265	C₂×#117	#127	1	2	yes	—
266	C₂×#117	#127	1	2	yes	—
267	C₂×#117	C₂²×D₄	1	2	yes	—
268	C₂×#117	C₂²×D₄	1	2	yes	—
269	C₂×#117	C₂²×D₄	1	2	yes	—
270	C₂×#117	C₂²×D₄	1	2	yes	—
271	C₂×#117	C₂²×D₄	1	2	yes	—
272	C₂×#117	C₂²×D₄	1	2	yes	—
273	C₂×#117	C₂×#41	1	2	yes	—
274	C₂×#117	C₂×#41	1	2	yes	—
275	C₂²×C₄⋊C₄	#120	1	2	yes	—
276	C₂²×C₄⋊C₄	#120	1	2	yes	—
277	C₂²×C₄⋊C₄	#120	1	2	yes	—
278	C₂²×C₄⋊C₄	#120	1	2	yes	—
279	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
280	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
281	C₂²×C₄⋊C₄	#120	1	2	yes	—
282	C₂²×C₄⋊C₄	#120	1	2	yes	—
283	C₂²×C₄⋊C₄	#120	1	2	yes	—
284	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
285	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
286	C₂²×C₄⋊C₄	#121	1	2	yes	—
287	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
288	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
289	C₂²×C₄⋊C₄	#121	1	2	yes	—
290	C₂²×C₄⋊C₄	#127	1	1	yes	characteristic
291	C₂²×C₄⋊C₄	#127	1	1	yes	characteristic
292	C₂²×C₄⋊C₄	#127	1	2	yes	—
293	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
294	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
295	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
296	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
297	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
298	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
300	C₂²×C₂²⋊C₄	#120	1	2	yes	—
301	C₂²×C₂²⋊C₄	#120	1	2	yes	—
302	C₂²×C₂²⋊C₄	#120	1	2	yes	—
303	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
304	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	#121	1	2	yes	—
306	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
307	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	#121	1	2	yes	—
309	C₂²×C₂²⋊C₄	#127	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	#127	1	1	yes	characteristic
311	C₂²×C₂²⋊C₄	#127	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
313	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
314	C₂²×C₄²	#120	1	1	yes	characteristic
315	C₂²×C₄²	#120	1	1	yes	characteristic
316	C₂²×C₄²	#120	1	2	yes	—
317	C₂²×C₄²	#120	1	2	yes	—
318	C₂²×C₄²	#121	1	1	yes	characteristic
319	C₂²×C₄²	#121	1	1	yes	characteristic
320	C₂²×C₄²	#121	1	2	yes	—
321	C₂²×C₄²	C₂²×D₄	1	2	yes	—
322	C₂²×C₄²	C₂²×D₄	1	4	yes	—
323	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
324	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
325	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
326	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
327	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
328	C₂²×C₄²	C₂²×D₄	1	2	yes	—
329	C₂²×C₄²	C₂²×D₄	1	2	yes	—
330	C₂²×C₄²	C₂²×D₄	1	2	yes	—
331	C₂²×C₄²	C₂²×D₄	1	2	yes	—
332	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
333	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
334	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
335	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
336	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
337	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
338	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
339	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
340	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
341	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
342	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
343	#431	#120	1	8	yes	complemented
344	#431	#120	1	8	yes	complemented
345	#431	C₂²×D₄	1	8	yes	—
346	#431	C₂²×D₄	1	8	yes	—
347	#431	C₂²×D₄	1	8	yes	—
348	C₄×M₁₆	#120	1	8	yes	complemented
349	C₄×M₁₆	C₂²×D₄	1	8	yes	—
350	C₂×C₄×C₈	#120	1	8	yes	complemented
351	C₂×#95	C₂²×D₄	1	2	yes	—
352	C₂×#95	C₂²×D₄	1	2	yes	—
353	C₂×#95	C₂²×D₄	1	4	yes	—
354	C₂⁵	#392	1	1	yes	characteristic
355	C₂⁵	#392	1	2	yes	—
356	C₂⁵	#392	1	1	yes	characteristic
357	C₂⁵	C₂×#120	1	1	yes	characteristic
358	C₂⁵	C₂×#120	1	2	yes	—
359	C₂²×D₄	C₂×#120	1	4	yes	—
360	C₂²×D₄	C₂×#120	1	4	yes	—
361	C₂³×C₄	#392	1	1	yes	characteristic
362	C₂³×C₄	#392	1	2	yes	—
363	C₂³×C₄	#392	1	2	yes	—
364	C₂³×C₄	#392	1	2	yes	—
365	C₂³×C₄	#392	1	2	yes	—
366	C₂³×C₄	#392	1	1	yes	characteristic
367	C₂³×C₄	#392	1	1	yes	characteristic
368	C₂³×C₄	#392	1	1	yes	characteristic
369	C₂³×C₄	#392	1	2	yes	—
370	C₂³×C₄	#392	1	1	yes	characteristic
371	C₂³×C₄	#392	1	1	yes	characteristic
372	C₂³×C₄	#392	1	2	yes	—
373	C₂³×C₄	#392	1	2	yes	—
374	C₂³×C₄	C₂×#120	1	2	yes	—
375	C₂³×C₄	C₂×#120	1	2	yes	—
376	C₂³×C₄	C₂×#120	1	1	yes	characteristic
377	C₂³×C₄	C₂×#120	1	2	yes	—
378	C₂³×C₄	C₂×#120	1	2	yes	—
379	C₂³×C₄	C₂×#120	1	2	yes	—
380	C₂³×C₄	C₂×#120	1	1	yes	characteristic
381	C₂³×C₄	C₂×#120	1	1	yes	characteristic
382	C₂³×C₄	C₂×#120	1	1	yes	characteristic
383	C₂³×C₄	C₂×#120	1	1	yes	characteristic
384	C₂³×C₄	C₂×#120	1	1	yes	characteristic
385	C₂³×C₄	C₂×#120	1	1	yes	characteristic
386	C₂³×C₄	C₂×#120	1	1	yes	characteristic
387	C₂³×C₄	C₂×#120	1	1	yes	characteristic
388	C₂³×C₄	C₂×#120	1	1	yes	characteristic
389	C₂³×C₄	C₂×#120	1	1	yes	characteristic
390	C₂³×C₄	C₂×#121	1	2	yes	—
391	C₂³×C₄	C₂×#121	1	2	yes	—
392	C₂³×C₄	C₂×#121	1	1	yes	characteristic
393	C₂³×C₄	C₂×#121	1	1	yes	characteristic
394	C₂³×C₄	C₂×#121	1	1	yes	characteristic
395	C₂³×C₄	C₂×#121	1	1	yes	characteristic
396	C₂³×C₄	C₂×#121	1	1	yes	characteristic
397	C₂³×C₄	C₂×#121	1	1	yes	characteristic
398	C₂³×C₄	C₂×#127	1	1	yes	characteristic
399	C₂³×C₄	C₂×#127	1	1	yes	characteristic
400	C₂³×C₄	#534	1	1	yes	characteristic
401	C₂³×C₄	#534	1	1	yes	characteristic
402	C₂³×C₄	#534	1	1	yes	characteristic
403	C₂³×C₄	#534	1	1	yes	characteristic
404	C₂³×C₄	D₄²	1	2	yes	—
405	C₂³×C₄	D₄²	1	2	yes	—
406	C₂³×C₄	D₄²	1	2	yes	—
407	C₂³×C₄	D₄²	1	2	yes	—
408	C₂³×C₄	D₄²	1	2	yes	—
409	C₂³×C₄	D₄²	1	2	yes	—
410	C₂³×C₄	D₄²	1	2	yes	—
411	C₂³×C₄	D₄²	1	2	yes	—
412	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
413	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
414	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
415	C₄⋊Q₈	C₂×#120	1	4	yes	complemented
416	C₄⋊Q₈	C₂×#120	1	4	yes	complemented
417	C₄⋊Q₈	C₂×#120	1	4	yes	complemented
418	#127	C₂×#120	1	4	yes	complemented
419	C₂×C₄⋊C₄	#392	1	2	yes	—
420	C₂×C₄⋊C₄	#392	1	2	yes	—
421	C₂×C₄⋊C₄	#392	1	2	yes	—
422	C₂×C₄⋊C₄	#392	1	2	yes	—
423	C₂×C₄⋊C₄	#392	1	2	yes	—
424	C₂×C₄⋊C₄	#392	1	2	yes	—
425	C₂×C₄⋊C₄	#392	1	2	yes	—
426	C₂×C₄⋊C₄	#392	1	2	yes	—
427	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
428	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
429	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
430	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
431	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
432	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
433	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
434	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
435	C₂×C₄⋊C₄	C₂×#127	1	2	yes	—
436	C₂×C₄⋊C₄	C₂×#127	1	2	yes	—
437	C₂×C₂²⋊C₄	#392	1	2	yes	—
438	C₂×C₂²⋊C₄	#392	1	2	yes	—
439	C₂×C₂²⋊C₄	#392	1	2	yes	—
440	C₂×C₂²⋊C₄	#392	1	2	yes	—
441	C₂×C₂²⋊C₄	#392	1	2	yes	—
442	C₂×C₂²⋊C₄	#392	1	2	yes	—
443	C₂×C₂²⋊C₄	#392	1	2	yes	—
444	C₂×C₂²⋊C₄	#392	1	2	yes	—
445	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
446	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
447	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
448	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
449	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
450	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
451	C₂×C₂²⋊C₄	C₂×#127	1	2	yes	—
452	C₂×C₂²⋊C₄	C₂×#127	1	2	yes	—
453	C₂×C₄²	#392	1	2	yes	—
454	C₂×C₄²	#392	1	2	yes	—
455	C₂×C₄²	#392	1	2	yes	—
456	C₂×C₄²	#392	1	2	yes	—
457	C₂×C₄²	C₂×#120	1	2	yes	—
458	C₂×C₄²	C₂×#120	1	2	yes	—
459	C₂×C₄²	C₂×#120	1	1	yes	characteristic
460	C₂×C₄²	C₂×#120	1	1	yes	characteristic
461	C₂×C₄²	C₂×#120	1	2	yes	—
462	C₂×C₄²	C₂×#120	1	2	yes	—
463	C₂×C₄²	C₂×#120	1	2	yes	—
464	C₂×C₄²	C₂×#120	1	2	yes	—
465	C₂×C₄²	C₂×#120	1	2	yes	—
466	C₂×C₄²	C₂×#120	1	2	yes	—
467	C₂×C₄²	C₂×#120	1	2	yes	—
468	C₂×C₄²	C₂×#120	1	2	yes	—
469	C₂×C₄²	C₂×#120	1	2	yes	—
470	C₂×C₄²	C₂×#120	1	2	yes	—
471	C₂×C₄²	C₂×#120	1	1	yes	characteristic
472	C₂×C₄²	C₂×#120	1	1	yes	characteristic
473	C₂×C₄²	C₂×#121	1	2	yes	—
474	C₂×C₄²	C₂×#121	1	2	yes	—
475	C₂×C₄²	C₂×#121	1	1	yes	characteristic
476	C₂×C₄²	C₂×#121	1	1	yes	characteristic
477	C₂×C₄²	C₂×#121	1	1	yes	characteristic
478	C₂×C₄²	C₂×#121	1	1	yes	characteristic
479	C₂×C₄²	C₂×#121	1	1	yes	characteristic
480	C₂×C₄²	C₂×#121	1	1	yes	characteristic
481	C₂×C₄²	C₂×#127	1	1	yes	characteristic
482	C₂×C₄²	C₂×#127	1	1	yes	characteristic
483	C₂×C₄²	#534	1	2	yes	—
484	C₂×C₄²	#534	1	2	yes	—
485	C₂×C₄²	#534	1	2	yes	—
486	C₂×C₄²	#534	1	2	yes	—
487	C₂×C₄²	#534	1	2	yes	—
488	C₂×C₄²	#534	1	2	yes	—
489	C₂×C₄²	#535	1	2	yes	—
490	C₂×C₄²	#535	1	2	yes	—
491	C₂×C₄²	#535	1	2	yes	—
492	C₂×C₄²	#535	1	2	yes	—
493	C₂×C₄²	D₄²	1	2	yes	—
494	C₂×C₄²	D₄²	1	2	yes	—
495	C₂×C₄²	D₄²	1	2	yes	—
496	C₂×C₄²	D₄²	1	2	yes	—
497	C₂×C₄²	D₄²	1	2	yes	—
498	C₂×C₄²	D₄²	1	2	yes	—
499	C₂×C₄²	D₄²	1	2	yes	—
500	C₂×C₄²	D₄²	1	2	yes	—
501	C₂×C₄²	D₄²	1	2	yes	—
502	C₂×C₄²	D₄²	1	2	yes	—
503	C₂×C₄²	D₄²	1	2	yes	—
504	C₂×C₄²	D₄²	1	2	yes	—
505	C₂×C₄²	D₄²	1	2	yes	—
506	C₂×C₄²	D₄²	1	2	yes	—
507	C₂×C₄²	D₄²	1	2	yes	—
508	C₂×C₄²	D₄²	1	2	yes	—
509	C₂×C₄²	#546	1	2	yes	—
510	C₂×C₄²	#546	1	2	yes	—
511	C₂×C₄²	#546	1	2	yes	—
512	C₂×C₄²	#546	1	2	yes	—
513	C₂×C₄²	#546	1	2	yes	—
514	C₂×C₄²	#546	1	2	yes	—
515	C₂×C₄²	#546	1	2	yes	—
516	C₂×C₄²	#546	1	2	yes	—
517	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
518	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
519	C₂×C₄²	C₂³×D₄	1	2	yes	—
520	C₂×C₄²	C₂³×D₄	1	2	yes	—
521	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
522	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
523	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
524	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
525	C₄×C₈	C₂×#120	1	16	yes	complemented
526	C₂⁴	#2010	1	4	yes	—
527	C₂⁴	C₂×#392	1	1	yes	characteristic
528	C₂⁴	C₂×#392	1	1	yes	characteristic
529	C₂⁴	C₂×#392	1	2	yes	—
530	C₂⁴	C₂×#392	1	2	yes	—
531	C₂⁴	#2403	1	1	yes	characteristic
532	C₂⁴	#2403	1	1	yes	characteristic
533	C₂⁴	#2403	1	1	yes	characteristic
534	C₂⁴	#2403	1	1	yes	characteristic
535	C₂⁴	C₂²×#120	1	1	yes	characteristic
536	C₂²×C₄	#2010	1	4	yes	—
537	C₂²×C₄	C₂×#392	1	2	yes	—
538	C₂²×C₄	C₂×#392	1	2	yes	—
539	C₂²×C₄	C₂×#392	1	1	yes	characteristic
540	C₂²×C₄	C₂×#392	1	1	yes	characteristic
541	C₂²×C₄	C₂×#392	1	2	yes	—
542	C₂²×C₄	C₂×#392	1	2	yes	—
543	C₂²×C₄	C₂×#392	1	2	yes	—
544	C₂²×C₄	C₂×#392	1	2	yes	—
545	C₂²×C₄	C₂×#392	1	1	yes	characteristic
546	C₂²×C₄	C₂×#392	1	1	yes	characteristic
547	C₂²×C₄	C₂×#392	1	1	yes	characteristic
548	C₂²×C₄	C₂×#392	1	1	yes	characteristic
549	C₂²×C₄	#2403	1	2	yes	—
550	C₂²×C₄	#2403	1	2	yes	—
551	C₂²×C₄	#2403	1	2	yes	—
552	C₂²×C₄	#2403	1	2	yes	—
553	C₂²×C₄	#2403	1	2	yes	—
554	C₂²×C₄	#2403	1	2	yes	—
555	C₂²×C₄	#2403	1	1	yes	characteristic
556	C₂²×C₄	#2403	1	1	yes	characteristic
557	C₂²×C₄	#2403	1	1	yes	characteristic
558	C₂²×C₄	#2403	1	1	yes	characteristic
559	C₂²×C₄	#2403	1	2	yes	—
560	C₂²×C₄	#2403	1	2	yes	—
561	C₂²×C₄	#2408	1	2	yes	—
562	C₂²×C₄	#2408	1	2	yes	—
563	C₂²×C₄	#2408	1	2	yes	—
564	C₂²×C₄	#2408	1	2	yes	—
565	C₂²×C₄	#2410	1	1	yes	characteristic
566	C₂²×C₄	#2410	1	1	yes	characteristic
567	C₂²×C₄	#2410	1	2	yes	—
568	C₂²×C₄	#2410	1	1	yes	characteristic
569	C₂²×C₄	#2410	1	1	yes	characteristic
570	C₂²×C₄	#2410	1	2	yes	—
571	C₂²×C₄	#2410	1	1	yes	characteristic
572	C₂²×C₄	#2410	1	1	yes	characteristic
573	C₂²×C₄	#2410	1	1	yes	characteristic
574	C₂²×C₄	#2410	1	1	yes	characteristic
575	C₂²×C₄	#2410	1	2	yes	—
576	C₂²×C₄	#2410	1	2	yes	—
577	C₂²×C₄	#2433	1	2	yes	—
578	C₂²×C₄	#2433	1	2	yes	—
579	C₂²×C₄	#2433	1	2	yes	—
580	C₂²×C₄	#2433	1	2	yes	—
581	C₂²×C₄	#2613	1	1	yes	characteristic
582	C₂²×C₄	#2613	1	1	yes	characteristic
583	C₂²×C₄	#2613	1	1	yes	characteristic
584	C₂²×C₄	#2613	1	1	yes	characteristic
585	C₂²×C₄	#2846	1	1	yes	characteristic
586	C₂²×C₄	#2846	1	1	yes	characteristic
587	C₂²×C₄	#2846	1	1	yes	characteristic
588	C₂²×C₄	#2846	1	1	yes	characteristic
589	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
590	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
591	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
592	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
593	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
594	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
595	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
596	C₂²×C₄	C₂²×#127	1	1	yes	characteristic
597	C₂²×C₄	C₂×#534	1	1	yes	characteristic
598	C₂²×C₄	C₂×#534	1	1	yes	characteristic
599	C₂²×C₄	C₂×D₄²	1	2	yes	—
600	C₂²×C₄	C₂×D₄²	1	2	yes	—
601	C₂²×C₄	C₂×D₄²	1	2	yes	—
602	C₂²×C₄	C₂×D₄²	1	2	yes	—
603	C₄²	#2403	1	2	yes	—
604	C₄²	#2403	1	2	yes	—
605	C₄²	#2403	1	2	yes	—
606	C₄²	#2403	1	2	yes	—
607	C₄²	#2408	1	2	yes	—
608	C₄²	#2408	1	2	yes	—
609	C₄²	#2408	1	2	yes	—
610	C₄²	#2408	1	2	yes	—
611	C₄²	#2410	1	2	yes	—
612	C₄²	#2410	1	2	yes	—
613	C₄²	#2410	1	2	yes	—
614	C₄²	#2410	1	2	yes	—
615	C₄²	#2410	1	2	yes	—
616	C₄²	#2410	1	2	yes	—
617	C₄²	#2410	1	2	yes	—
618	C₄²	#2410	1	2	yes	—
619	C₄²	#2433	1	2	yes	—
620	C₄²	#2433	1	2	yes	—
621	C₄²	#2433	1	2	yes	—
622	C₄²	#2433	1	2	yes	—
623	C₄²	#2613	1	2	yes	—
624	C₄²	#2613	1	2	yes	—
625	C₄²	#2846	1	2	yes	—
626	C₄²	#2846	1	2	yes	—
627	C₄²	C₂²×#120	1	2	yes	—
628	C₄²	C₂²×#120	1	2	yes	—
629	C₄²	C₂×#534	1	2	yes	—
630	C₄²	C₂×#535	1	2	yes	—
631	C₄²	C₂×D₄²	1	2	yes	—
632	C₄²	C₂×D₄²	1	2	yes	—
633	C₄²	C₂×#546	1	2	yes	—
634	C₄²	C₂×#546	1	2	yes	—
635	C₂³	#14715	1	1	yes	characteristic
636	C₂³	#14715	1	1	yes	characteristic
637	C₂³	#14715	1	1	yes	characteristic
638	C₂³	#14715	1	1	yes	characteristic
639	C₂³	C₂×#2010	1	2	yes	—
640	C₂³	C₂×#2010	1	2	yes	—
641	C₂³	C₂×#2010	1	4	yes	—
642	C₂³	#23882	1	4	yes	—
643	C₂³	#23882	1	2	yes	—
644	C₂³	#23883	1	2	yes	—
645	C₂³	C₂²×#392	1	1	yes	characteristic
646	C₂³	C₂×#2403	1	1	yes	characteristic
647	C₂³	C₂×#2403	1	1	yes	characteristic
648	C₂×C₄	#14715	1	1	yes	characteristic
649	C₂×C₄	#14715	1	1	yes	characteristic
650	C₂×C₄	#14715	1	1	yes	characteristic
651	C₂×C₄	#14715	1	1	yes	characteristic
652	C₂×C₄	#14715	1	2	yes	—
653	C₂×C₄	#14715	1	2	yes	—
654	C₂×C₄	#14715	1	2	yes	—
655	C₂×C₄	#14715	1	2	yes	—
656	C₂×C₄	C₂×#2010	1	4	yes	—
657	C₂×C₄	C₂×#2613	1	1	yes	characteristic
658	C₂×C₄	C₂×#2403	1	2	yes	—
659	C₂×C₄	C₂×#2410	1	1	yes	characteristic
660	C₂×C₄	C₂×#2410	1	1	yes	characteristic
661	C₂×C₄	C₂×#2410	1	2	yes	—
662	C₂×C₄	C₂×#2408	1	2	yes	—
663	C₂×C₄	C₂×#2433	1	2	yes	—
664	C₂×C₄	C₂×#2846	1	1	yes	characteristic
665	C₂²	#393988	1	2	yes	—
666	C₂²	#393988	1	2	yes	—
667	C₂²	#394022	1	2	yes	—
668	C₂²	#394022	1	2	yes	—
669	C₂²	#394080	1	2	yes	—
670	C₂²	#394080	1	2	yes	—
671	C₂²	C₂×#14715	1	1	yes	characteristic
672	C₂²	C₂²×#2010	1	1	yes	characteristic
673	C₂²	C₂²×#2010	1	1	yes	characteristic
674	C₂²	C₂×#23882	1	1	yes	characteristic
675	C₂²	C₂×#23882	1	2	yes	—
676	C₂²	C₂×#23883	1	1	yes	characteristic
677	C₂	#72213800	1	4	yes	direct product factor
678	C₂	C₂×#394080	1	1	yes	characteristic
679	C₂	C₂×#393988	1	1	yes	characteristic
680	C₂	C₂×#394022	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	#14715
commutator, Frattini, cosocle	C₂²×C₄²	C₂⁵
LCS	G ▷ C₂²×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₂²×C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#6346626	C₂	semidirect
2. C₂×#185257	C₂	semidirect
3. C₂×#184979	C₂	semidirect
4. C₂×#235245	C₂	semidirect
5. C₂×#112929	C₂	semidirect
6. C₂×#10575142	C₂	semidirect
7. C₂×#113024	C₂	semidirect
8. C₂×#201616	C₂	semidirect
9. C₂×#106328	C₂	semidirect
10. C₂×#4929019	C₂	semidirect
11. #72213800	C₂	direct (N × H)
12. C₂×#233610	C₂	semidirect
15. #10575142	C₂²	semidirect
18. C₂×#60558	C₂²	semidirect
20. C₂²×#2535	C₂²	semidirect
22. C₂²×#2397	C₂²	semidirect
23. C₂×#21417	C₂²	semidirect
24. #6346626	C₂²	semidirect
25. C₂×#17593	C₂²	semidirect
26. C₂×#17588	C₂²	semidirect
27. C₂×#17448	C₂²	semidirect
28. C₂×#17448	C₂²	semidirect
29. C₂×#17448	C₂²	semidirect
32. #4929019	C₂²	semidirect
33. C₂×#14345	C₂²	semidirect
34. C₂×#13959	C₂²	semidirect
36. #235245	C₂²	semidirect
37. #233610	C₂²	semidirect
38. #201616	C₂²	semidirect
39. #185257	C₂²	semidirect
40. #184979	C₂²	semidirect
41. C₂×#7975	C₂²	semidirect
42. C₂×#7959	C₂²	semidirect
43. C₂×#7855	C₂²	semidirect
44. #113024	C₂²	semidirect
45. #112929	C₂²	semidirect
46. #106328	C₂²	semidirect
48. #62814	D₄	semidirect
50. C₂×#3455	D₄	semidirect
51. C₂×#3458	D₄	semidirect
52. C₂×#3449	D₄	semidirect
63. #60558	D₄	semidirect
64. #60558	D₄	semidirect
67. #60558	C₂³	semidirect
68. C₂×#3101	D₄	semidirect
69. C₂×#3101	D₄	semidirect
70. C₂×#3100	D₄	semidirect
71. C₂×#3100	D₄	semidirect
72. #60124	D₄	semidirect
74. C₂×#2921	D₄	semidirect
78. C₂×#2873	D₄	semidirect
79. C₂×#2535	C₂³	semidirect
82. C₂×#2397	C₂³	semidirect
90. #21417	C₂³	semidirect
91. #17593	C₂³	semidirect
92. #17588	C₂³	semidirect
93. #17448	C₂³	semidirect
94. #17448	C₂³	semidirect
95. #17448	C₂³	semidirect
96. #17357	D₄	semidirect
99. C₂×#1458	D₄	semidirect
100. C₂×#1458	D₄	semidirect
101. #14345	C₂³	semidirect
102. #13959	C₂³	semidirect
107. #7975	C₂³	semidirect
108. #7959	C₂³	semidirect
109. #7855	C₂³	semidirect
115. #3458	C₂×D₄	semidirect
116. #3455	C₂×D₄	semidirect
117. #3449	C₂×D₄	semidirect
167. #3101	C₂×D₄	semidirect
168. #3101	C₂×D₄	semidirect
169. #3100	C₂×D₄	semidirect
170. #3100	C₂×D₄	semidirect
171. #2921	C₂×D₄	semidirect
182. #2873	C₂×D₄	semidirect
197. #1458	C₂×D₄	semidirect
198. #1458	C₂×D₄	semidirect
223. #533	#120	semidirect
224. #533	#120	semidirect
225. #533	#120	semidirect
229. #532	#120	semidirect
230. #532	#120	semidirect
231. #532	#120	semidirect
235. C₂×C₄⋊Q₈	#120	semidirect
236. C₂×C₄⋊Q₈	#120	semidirect
237. C₂×C₄⋊Q₈	#120	semidirect
238. C₂×#127	#120	semidirect
343. #431	#120	semidirect
344. #431	#120	semidirect
348. C₄×M₁₆	#120	semidirect
350. C₂×C₄×C₈	#120	semidirect
415. C₄⋊Q₈	C₂×#120	semidirect
416. C₄⋊Q₈	C₂×#120	semidirect
417. C₄⋊Q₈	C₂×#120	semidirect
418. #127	C₂×#120	semidirect
525. C₄×C₈	C₂×#120	semidirect
677. C₂	#72213800	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×#6346626	2
C₂×#185257	2
C₂×#184979	2
C₂×#235245	2
C₂×#112929	2
C₂×#10575142	2
C₂×#113024	2
C₂×#201616	2
C₂×#106328	2
C₂×#4929019	2
#72213800	2
C₂×#233610	2

Subgroups — C2×#72213800 #72233725

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72213800 #72233725