Subgroups — C₂₃×#25194 #19172820

Order 5888.

980 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₂₃×#456	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3013	C₂	1	1	yes	maximal, characteristic
5	C₂×C₂₃×#444	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2898	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2064	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2052	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2040	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2005	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#1960	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#1938	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#1908	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#1908	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#1860	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₂₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
17	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
18	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
19	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
20	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic
21	C₂×C₂₃×#131	C₂²	1	1	yes	characteristic
22	C₂×C₂₃×#131	C₂²	1	1	yes	characteristic
23	C₂₃×#537	C₂²	1	1	yes	characteristic
24	C₂₃×#536	C₂²	1	1	yes	characteristic
25	C₂×C₂₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂₃×#520	C₂²	1	1	yes	characteristic
27	C₂₃×#470	—	2	1	no	—
28	C₂₃×#468	—	2	1	no	—
29	C₂₃×#467	—	2	1	no	—
30	C₂₃×#465	—	2	1	no	—
31	C₂₃×#464	—	2	1	no	—
32	C₂₃×#463	—	2	1	no	—
33	C₂₃×#462	—	2	1	no	—
34	C₂₃×#461	—	2	1	no	—
35	C₂₃×#456	—	2	4	no	—
36	C₂₃×#452	—	2	1	no	—
37	C₂₃×#451	—	2	1	no	—
38	C₂₃×#449	—	2	1	no	—
39	C₂₃×#448	—	2	1	no	—
40	C₂₃×#444	—	2	4	no	—
41	C₂×C₂₃×#108	C₂²	1	1	yes	characteristic
42	C₂₃×#428	C₂²	1	1	yes	characteristic
43	C₂₃×#424	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×#104	C₂²	1	1	yes	characteristic
45	C₂×C₂₃×#104	C₂²	1	1	yes	characteristic
46	C₂×C₂₃×#104	C₂²	1	1	yes	characteristic
47	C₂₃×#419	—	2	1	no	—
48	C₂₃×#419	C₂²	1	1	yes	characteristic
49	C₂₃×#417	—	2	1	no	—
50	C₂₃×#417	C₂²	1	1	yes	characteristic
51	C₂₃×#417	C₂²	1	1	yes	characteristic
52	C₂₃×#417	C₂²	1	1	yes	characteristic
53	C₂₃×#416	—	2	1	no	—
54	C₂₃×#416	C₂²	1	1	yes	characteristic
55	C₂×C₂₃×#103	—	2	1	no	—
56	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
57	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
58	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
59	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic
60	C₂×C₂₃×#101	C₂²	1	1	yes	characteristic
61	C₂×C₂₃×#101	C₂²	1	1	yes	characteristic
62	C₂₃×#408	C₂²	1	1	yes	characteristic
63	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic
64	C₂₃×#382	C₂²	1	1	yes	characteristic
65	C₂₃×#343	C₂²	1	1	yes	characteristic
66	C₂₃×#343	C₂²	1	1	yes	characteristic
67	C₂₃×#341	C₂²	1	1	yes	characteristic
68	C₂₃×#339	C₂²	1	1	yes	characteristic
69	C₂₃×2₋¹⁺⁴	—	2	2	no	—
70	C₂₃×2₋¹⁺⁴	—	2	2	no	—
71	C₂₃×2₋¹⁺⁴	—	2	2	no	—
72	C₂₃×2₋¹⁺⁴	—	4	1	no	—
73	C₂×#41×C₂₃	—	2	1	no	—
74	C₂×#41×C₂₃	—	2	1	no	—
75	C₂×#41×C₂₃	—	4	1	no	—
76	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
77	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
78	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
79	C₂²×Q₈×C₂₃	—	2	1	no	—
80	C₂²×Q₈×C₂₃	—	2	1	no	—
81	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
82	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
83	C₂₃×#137	—	2	2	no	—
84	C₂₃×#137	—	2	2	no	—
85	C₂₃×#137	—	2	2	no	—
86	C₂₃×#137	—	2	2	no	—
87	C₂₃×#137	—	4	1	no	—
88	C₂₃×#137	—	4	1	no	—
89	C₂₃×#135	—	2	2	no	—
90	C₂₃×#135	—	2	2	no	—
91	C₂×Q₁₆×C₂₃	—	2	1	no	—
92	C₂×Q₁₆×C₂₃	—	2	1	no	—
93	C₂×Q₁₆×C₂₃	—	2	1	no	—
94	C₂×Q₁₆×C₂₃	D₄	1	1	yes	characteristic
95	C₂×SD₁₆×C₂₃	—	2	1	no	—
96	C₂×SD₁₆×C₂₃	—	2	1	no	—
97	C₂×SD₁₆×C₂₃	—	2	1	no	—
98	C₂×SD₁₆×C₂₃	D₄	1	1	yes	characteristic
99	C₂×SD₁₆×C₂₃	D₄	1	1	yes	characteristic
100	C₂×D₈×C₂₃	D₄	1	1	yes	characteristic
101	C₂₃×#131	—	2	2	no	—
102	C₂₃×#131	—	2	2	no	—
103	C₂₃×#131	—	4	1	no	—
104	C₂₃×#131	—	4	1	no	—
105	C₂×M₁₆×C₂₃	—	2	1	no	—
106	C₂×M₁₆×C₂₃	—	2	1	no	—
107	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
108	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
109	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
110	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
111	C₂²×C₈×C₂₃	—	2	1	no	—
112	C₂²×C₈×C₂₃	—	2	1	no	—
113	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
114	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
115	C₂₃×C₄⋊Q₈	—	2	1	no	—
116	C₂₃×C₄⋊Q₈	—	2	2	no	—
117	C₂₃×C₄⋊Q₈	—	2	2	no	—
118	C₂₃×#124	—	2	1	no	—
119	C₂₃×#123	—	4	1	no	—
120	C₂₃×C₂²⋊Q₈	—	2	1	no	—
121	C₂₃×C₂²⋊Q₈	—	2	1	no	—
122	C₂₃×C₂²⋊Q₈	—	2	1	no	—
123	C₂₃×C₂²⋊Q₈	—	2	1	no	—
124	C₂₃×#121	—	2	1	no	—
125	C₂₃×#121	—	2	1	no	—
126	C₂₃×#121	—	4	1	no	—
127	C₄×Q₈×C₂₃	—	2	1	no	—
128	C₄×D₄×C₂₃	—	2	1	no	—
129	C₄×D₄×C₂₃	—	4	1	no	—
130	C₂₃×#117	—	2	1	no	—
131	C₂₃×#117	C₂³	1	1	yes	characteristic
132	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
133	C₂×C₄⋊C₄×C₂₃	—	4	1	no	—
134	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
135	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
137	C₂₃×#108	—	2	2	no	—
138	C₂₃×#107	—	2	1	no	—
139	C₂₃×#106	—	2	1	no	—
140	C₂₃×C₄⋊C₈	—	2	1	no	—
141	C₂₃×C₄⋊C₈	—	2	1	no	—
142	C₂₃×#104	—	2	2	no	—
143	C₂₃×#104	—	2	2	no	—
144	C₂₃×#104	D₄	1	4	yes	complemented
145	C₂₃×#103	—	2	1	no	—
146	C₂₃×#103	—	2	1	no	—
147	C₂₃×#103	—	2	1	no	—
148	C₂₃×#103	—	2	1	no	—
149	C₂₃×#103	—	2	1	no	—
150	C₂₃×#103	—	2	1	no	—
151	C₂₃×#103	—	2	1	no	—
152	C₂₃×#103	—	2	1	no	—
153	C₂₃×#103	—	2	1	no	—
154	C₂₃×#103	—	2	1	no	—
155	C₂₃×#103	—	2	1	no	—
156	C₂₃×#103	—	2	1	no	—
157	C₂₃×#103	—	2	1	no	—
158	C₂₃×#103	D₄	1	1	yes	characteristic
159	C₂₃×#103	D₄	1	1	yes	characteristic
160	C₂₃×#102	—	2	1	no	—
161	C₂₃×#102	—	2	1	no	—
162	C₂₃×#102	—	2	1	no	—
163	C₂₃×#102	D₄	1	1	yes	characteristic
164	C₂₃×#102	D₄	1	1	yes	characteristic
165	C₂₃×#101	—	2	2	no	—
166	C₂₃×#101	—	4	1	no	—
167	C₂₃×C₂²⋊C₈	—	2	1	no	—
168	C₂₃×C₂²⋊C₈	—	2	1	no	—
169	C₂₃×#97	—	2	2	no	—
170	C₂₃×#95	—	4	1	no	—
171	#41×C₂₃	—	2	1	no	—
172	#41×C₂₃	—	2	1	no	—
173	#41×C₂₃	—	2	4	no	—
174	#41×C₂₃	—	2	1	no	—
175	#41×C₂₃	—	2	1	no	—
176	#41×C₂₃	—	2	1	no	—
177	#41×C₂₃	—	2	1	no	—
178	#41×C₂₃	—	2	1	no	—
179	#41×C₂₃	—	2	1	no	—
180	#41×C₂₃	—	2	1	no	—
181	#41×C₂₃	—	2	1	no	—
182	#41×C₂₃	—	4	2	no	—
183	#41×C₂₃	—	4	4	no	—
184	#41×C₂₃	—	4	2	no	—
185	#41×C₂₃	—	4	4	no	—
186	#41×C₂₃	—	4	2	no	—
187	#41×C₂₃	C₂×D₄	1	2	yes	—
188	#41×C₂₃	#41	1	2	yes	—
189	C₂×Q₈×C₂₃	—	2	1	no	—
190	C₂×Q₈×C₂₃	—	2	4	no	—
191	C₂×Q₈×C₂₃	—	2	1	no	—
192	C₂×Q₈×C₂₃	—	2	1	no	—
193	C₂×Q₈×C₂₃	—	2	1	no	—
194	C₂×Q₈×C₂₃	—	2	1	no	—
195	C₂×Q₈×C₂₃	—	2	1	no	—
196	C₂×Q₈×C₂₃	—	2	1	no	—
197	C₂×Q₈×C₂₃	—	2	1	no	—
198	C₂×Q₈×C₂₃	—	2	1	no	—
199	C₂×Q₈×C₂₃	—	2	1	no	—
200	C₂×Q₈×C₂₃	—	2	1	no	—
201	C₂×Q₈×C₂₃	—	4	1	no	—
202	C₂×Q₈×C₂₃	—	4	2	no	—
203	C₂×Q₈×C₂₃	—	4	2	no	—
204	C₂×Q₈×C₂₃	—	4	2	no	—
205	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
206	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
207	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
208	C₂×Q₈×C₂₃	#41	1	2	yes	—
209	C₂×D₄×C₂₃	—	2	1	no	—
210	C₂×D₄×C₂₃	—	2	1	no	—
211	C₂×D₄×C₂₃	—	2	1	no	—
212	C₂×D₄×C₂₃	—	4	1	no	—
213	C₂×D₄×C₂₃	—	4	1	no	—
214	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
215	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
216	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₂₃	—	2	1	no	—
218	C₂²×C₄×C₂₃	—	2	1	no	—
219	C₂²×C₄×C₂₃	—	2	1	no	—
220	C₂²×C₄×C₂₃	—	2	1	no	—
221	C₂²×C₄×C₂₃	—	2	1	no	—
222	C₂²×C₄×C₂₃	—	2	1	no	—
223	C₂²×C₄×C₂₃	—	2	1	no	—
224	C₂²×C₄×C₂₃	—	2	1	no	—
225	C₂²×C₄×C₂₃	—	4	1	no	—
226	C₂²×C₄×C₂₃	—	4	1	no	—
227	C₂²×C₄×C₂₃	—	4	1	no	—
228	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
229	Q₁₆×C₂₃	—	2	2	no	—
230	Q₁₆×C₂₃	—	4	2	no	—
231	Q₁₆×C₂₃	—	4	2	no	—
232	Q₁₆×C₂₃	—	4	2	no	—
233	SD₁₆×C₂₃	—	2	2	no	—
234	SD₁₆×C₂₃	—	2	2	no	—
235	SD₁₆×C₂₃	—	4	2	no	—
236	SD₁₆×C₂₃	—	4	2	no	—
237	SD₁₆×C₂₃	—	4	2	no	—
238	D₈×C₂₃	—	2	2	no	—
239	M₁₆×C₂₃	—	2	1	no	—
240	M₁₆×C₂₃	—	2	1	no	—
241	M₁₆×C₂₃	—	2	1	no	—
242	M₁₆×C₂₃	—	2	1	no	—
243	M₁₆×C₂₃	—	2	1	no	—
244	M₁₆×C₂₃	—	2	1	no	—
245	M₁₆×C₂₃	—	2	1	no	—
246	M₁₆×C₂₃	—	4	2	no	—
247	M₁₆×C₂₃	—	4	2	no	—
248	M₁₆×C₂₃	C₂×D₄	1	2	yes	—
249	C₂×C₈×C₂₃	—	2	1	no	—
250	C₂×C₈×C₂₃	—	2	1	no	—
251	C₂×C₈×C₂₃	—	2	1	no	—
252	C₂×C₈×C₂₃	—	2	1	no	—
253	C₂×C₈×C₂₃	—	2	1	no	—
254	C₂×C₈×C₂₃	—	2	1	no	—
255	C₂×C₈×C₂₃	—	2	1	no	—
256	C₂×C₈×C₂₃	—	2	1	no	—
257	C₂×C₈×C₂₃	—	4	2	no	—
258	C₂×C₈×C₂₃	—	4	2	no	—
259	C₂×C₈×C₂₃	C₂×D₄	1	1	yes	characteristic
260	C₂×C₈×C₂₃	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₂₃	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₂₃	C₂×D₄	1	1	yes	characteristic
263	C₄⋊C₄×C₂₃	—	2	1	no	—
264	C₄⋊C₄×C₂₃	—	2	1	no	—
265	C₄⋊C₄×C₂₃	—	2	1	no	—
266	C₄⋊C₄×C₂₃	—	2	1	no	—
267	C₄⋊C₄×C₂₃	—	4	1	no	—
268	C₄⋊C₄×C₂₃	—	4	4	no	—
269	C₄⋊C₄×C₂₃	—	4	1	no	—
270	C₄⋊C₄×C₂₃	—	4	1	no	—
271	C₄⋊C₄×C₂₃	—	4	1	no	—
272	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
273	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
274	C₂²⋊C₄×C₂₃	—	2	1	no	—
275	C₂²⋊C₄×C₂₃	—	4	1	no	—
276	C₂²⋊C₄×C₂₃	—	4	1	no	—
277	C₂²⋊C₄×C₂₃	—	4	1	no	—
278	C₂²⋊C₄×C₂₃	—	4	1	no	—
279	C₂²⋊C₄×C₂₃	—	4	1	no	—
280	C₄²×C₂₃	—	2	1	no	—
281	C₄²×C₂₃	—	2	1	no	—
282	C₄²×C₂₃	—	4	1	no	—
283	C₄²×C₂₃	C₂×D₄	1	2	yes	—
284	#25194	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂³×C₂₃	—	2	1	no	—
286	C₂³×C₂₃	—	2	1	no	—
287	C₂³×C₂₃	—	2	1	no	—
288	C₂³×C₂₃	H(5,𝔽₂)	1	1	yes	characteristic
289	Q₈×C₂₃	—	2	1	no	—
290	Q₈×C₂₃	—	2	1	no	—
291	Q₈×C₂₃	—	2	1	no	—
292	Q₈×C₂₃	—	2	2	no	—
293	Q₈×C₂₃	—	2	1	no	—
294	Q₈×C₂₃	—	2	2	no	—
295	Q₈×C₂₃	—	2	1	no	—
296	Q₈×C₂₃	—	4	4	no	—
297	Q₈×C₂₃	—	4	1	no	—
298	Q₈×C₂₃	—	4	1	no	—
299	Q₈×C₂₃	—	4	1	no	—
300	Q₈×C₂₃	—	4	1	no	—
301	Q₈×C₂₃	—	4	1	no	—
302	Q₈×C₂₃	—	4	1	no	—
303	Q₈×C₂₃	#121	1	2	yes	—
304	D₄×C₂₃	—	2	2	no	—
305	D₄×C₂₃	—	2	2	no	—
306	D₄×C₂₃	—	2	1	no	—
307	D₄×C₂₃	—	2	1	no	—
308	D₄×C₂₃	—	2	1	no	—
309	D₄×C₂₃	—	2	1	no	—
310	D₄×C₂₃	—	2	1	no	—
311	D₄×C₂₃	—	4	4	no	—
312	D₄×C₂₃	—	4	1	no	—
313	D₄×C₂₃	—	4	1	no	—
314	D₄×C₂₃	—	4	1	no	—
315	D₄×C₂₃	—	4	1	no	—
316	D₄×C₂₃	—	16	1	no	—
317	D₄×C₂₃	#121	1	2	yes	—
318	C₂×C₄×C₂₃	—	2	1	no	—
319	C₂×C₄×C₂₃	—	2	2	no	—
320	C₂×C₄×C₂₃	—	2	2	no	—
321	C₂×C₄×C₂₃	—	2	1	no	—
322	C₂×C₄×C₂₃	—	2	1	no	—
323	C₂×C₄×C₂₃	—	2	1	no	—
324	C₂×C₄×C₂₃	—	2	1	no	—
325	C₂×C₄×C₂₃	—	2	2	no	—
326	C₂×C₄×C₂₃	—	2	2	no	—
327	C₂×C₄×C₂₃	—	4	4	no	—
328	C₂×C₄×C₂₃	—	4	1	no	—
329	C₂×C₄×C₂₃	—	4	1	no	—
330	C₂×C₄×C₂₃	—	4	4	no	—
331	C₂×C₄×C₂₃	—	4	1	no	—
332	C₂×C₄×C₂₃	—	4	1	no	—
333	C₂×C₄×C₂₃	—	4	1	no	—
334	C₂×C₄×C₂₃	—	4	1	no	—
335	C₂×C₄×C₂₃	—	4	1	no	—
336	C₂×C₄×C₂₃	—	4	1	no	—
337	C₂×C₄×C₂₃	—	4	1	no	—
338	C₂×C₄×C₂₃	—	4	1	no	—
339	C₂×C₄×C₂₃	—	4	1	no	—
340	C₂×C₄×C₂₃	—	4	1	no	—
341	C₂×C₄×C₂₃	—	4	1	no	—
342	C₂×C₄×C₂₃	—	8	1	no	—
343	C₂×C₄×C₂₃	—	8	1	no	—
344	C₂×C₄×C₂₃	—	16	1	no	—
345	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
347	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₂₃	C₂×#41	1	1	yes	characteristic
349	C₂×C₄×C₂₃	C₂×#41	1	1	yes	characteristic
350	C₂×C₄×C₂₃	H(5,𝔽₂)	1	1	yes	characteristic
351	C₈×C₂₃	—	2	1	no	—
352	C₈×C₂₃	—	2	1	no	—
353	C₈×C₂₃	—	2	1	no	—
354	C₈×C₂₃	—	2	1	no	—
355	C₈×C₂₃	—	2	2	no	—
356	C₈×C₂₃	—	4	1	no	—
357	C₈×C₂₃	—	4	1	no	—
358	C₈×C₂₃	—	4	1	no	—
359	#3063	C₂×C₂₃	1	1	yes	characteristic, complemented
360	#3046	C₂×C₂₃	1	1	yes	characteristic, complemented
361	C₂×#456	C₂×C₂₃	1	1	yes	characteristic, complemented
362	#3013	C₂×C₂₃	1	1	yes	characteristic
363	C₂×#444	C₂×C₂₃	1	1	yes	characteristic, complemented
364	#2898	C₂×C₂₃	1	1	yes	characteristic, complemented
365	#2064	C₂×C₂₃	1	1	yes	characteristic, complemented
366	#2052	C₂×C₂₃	1	1	yes	characteristic, complemented
367	#2040	C₂×C₂₃	1	1	yes	characteristic, complemented
368	#2005	C₂×C₂₃	1	1	yes	characteristic, complemented
369	#1960	C₂×C₂₃	1	1	yes	characteristic, complemented
370	#1938	C₂×C₂₃	1	1	yes	characteristic, complemented
371	#1908	C₂×C₂₃	1	1	yes	characteristic, complemented
372	#1908	C₂×C₂₃	1	1	yes	characteristic, complemented
373	#1860	C₂×C₂₃	1	1	yes	characteristic, complemented
374	C₂²×C₂₃	—	2	1	no	—
375	C₂²×C₂₃	—	2	1	no	—
376	C₂²×C₂₃	—	2	2	no	—
377	C₂²×C₂₃	—	4	1	no	—
378	C₂²×C₂₃	—	4	1	no	—
379	C₂²×C₂₃	—	4	1	no	—
380	C₂²×C₂₃	—	4	1	no	—
381	C₂²×C₂₃	—	4	1	no	—
382	C₂²×C₂₃	—	4	1	no	—
383	C₂²×C₂₃	—	4	1	no	—
384	C₂²×C₂₃	—	4	1	no	—
385	C₂²×C₂₃	#538	1	1	yes	characteristic
386	C₂²×C₂₃	D₄²	1	1	yes	characteristic
387	C₂²×C₂₃	#546	1	1	yes	characteristic
388	C₄×C₂₃	—	2	2	no	—
389	C₄×C₂₃	—	4	2	no	—
390	C₄×C₂₃	—	4	1	no	—
391	C₄×C₂₃	—	4	2	no	—
392	C₄×C₂₃	—	4	1	no	—
393	C₄×C₂₃	—	4	1	no	—
394	C₄×C₂₃	—	4	1	no	—
395	C₄×C₂₃	—	8	1	no	—
396	C₄×C₂₃	—	8	1	no	—
397	C₄×C₂₃	—	8	1	no	—
398	C₄×C₂₃	C₂×#121	1	1	yes	characteristic
399	C₄×C₂₃	#525	1	1	yes	characteristic
400	C₄×C₂₃	D₄²	1	1	yes	characteristic
401	C₄×C₂₃	#546	1	1	yes	characteristic
402	C₂×2₋¹⁺⁴	C₂²×C₂₃	1	1	yes	characteristic
403	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
404	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
405	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
406	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic
407	C₂×#131	C₂²×C₂₃	1	1	yes	characteristic
408	C₂×#131	C₂²×C₂₃	1	1	yes	characteristic
409	#537	C₂²×C₂₃	1	1	yes	characteristic
410	#536	C₂²×C₂₃	1	1	yes	characteristic
411	C₂×C₄⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
412	#520	C₂²×C₂₃	1	1	yes	characteristic
413	#470	—	2	1	no	—
414	#468	—	2	1	no	—
415	#467	—	2	1	no	—
416	#465	—	2	1	no	—
417	#464	—	2	1	no	—
418	#463	—	2	1	no	—
419	#462	—	2	1	no	—
420	#461	—	2	1	no	—
421	#456	—	2	4	no	—
422	#452	—	2	1	no	—
423	#451	—	2	1	no	—
424	#449	—	2	1	no	—
425	#448	—	2	1	no	—
426	#444	—	2	4	no	—
427	C₂×#108	C₂²×C₂₃	1	1	yes	characteristic
428	#428	C₂²×C₂₃	1	1	yes	characteristic
429	#424	C₂²×C₂₃	1	1	yes	characteristic
430	C₂×#104	C₂²×C₂₃	1	1	yes	characteristic
431	C₂×#104	C₂²×C₂₃	1	1	yes	characteristic
432	C₂×#104	C₂²×C₂₃	1	1	yes	characteristic
433	#419	—	2	1	no	—
434	#419	C₂²×C₂₃	1	1	yes	characteristic
435	#417	—	2	1	no	—
436	#417	C₂²×C₂₃	1	1	yes	characteristic
437	#417	C₂²×C₂₃	1	1	yes	characteristic
438	#417	C₂²×C₂₃	1	1	yes	characteristic
439	#416	—	2	1	no	—
440	#416	C₂²×C₂₃	1	1	yes	characteristic
441	C₂×#103	—	2	1	no	—
442	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
443	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
444	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
445	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic
446	C₂×#101	C₂²×C₂₃	1	1	yes	characteristic
447	C₂×#101	C₂²×C₂₃	1	1	yes	characteristic
448	#408	C₂²×C₂₃	1	1	yes	characteristic
449	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic
450	#382	C₂²×C₂₃	1	1	yes	characteristic
451	#343	C₂²×C₂₃	1	1	yes	characteristic
452	#343	C₂²×C₂₃	1	1	yes	characteristic
453	#341	C₂²×C₂₃	1	1	yes	characteristic
454	#339	C₂²×C₂₃	1	1	yes	characteristic
455	C₂×C₂₃	—	2	1	no	—
456	C₂×C₂₃	—	2	1	no	—
457	C₂×C₂₃	—	4	2	no	—
458	C₂×C₂₃	—	8	1	no	—
459	C₂×C₂₃	—	8	1	no	—
460	C₂×C₂₃	#2424	1	1	yes	characteristic
461	C₂×C₂₃	#3289	1	1	yes	characteristic
462	C₂×C₂₃	#3289	1	1	yes	characteristic
463	2₋¹⁺⁴	—	2	2	no	—
464	2₋¹⁺⁴	—	2	2	no	—
465	2₋¹⁺⁴	—	2	2	no	—
466	2₋¹⁺⁴	—	4	1	no	—
467	C₂×#41	—	2	1	no	—
468	C₂×#41	—	2	1	no	—
469	C₂×#41	—	4	1	no	—
470	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
471	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
472	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
473	C₂²×Q₈	—	2	1	no	—
474	C₂²×Q₈	—	2	1	no	—
475	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
476	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
477	#137	—	2	2	no	—
478	#137	—	2	2	no	—
479	#137	—	2	2	no	—
480	#137	—	2	2	no	—
481	#137	—	4	1	no	—
482	#137	—	4	1	no	—
483	#135	—	2	2	no	—
484	#135	—	2	2	no	—
485	C₂×Q₁₆	—	2	1	no	—
486	C₂×Q₁₆	—	2	1	no	—
487	C₂×Q₁₆	—	2	1	no	—
488	C₂×Q₁₆	D₄×C₂₃	1	1	yes	characteristic
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×SD₁₆	—	2	1	no	—
491	C₂×SD₁₆	—	2	1	no	—
492	C₂×SD₁₆	D₄×C₂₃	1	1	yes	characteristic
493	C₂×SD₁₆	D₄×C₂₃	1	1	yes	characteristic
494	C₂×D₈	D₄×C₂₃	1	1	yes	characteristic
495	#131	—	2	2	no	—
496	#131	—	2	2	no	—
497	#131	—	4	1	no	—
498	#131	—	4	1	no	—
499	C₂×M₁₆	—	2	1	no	—
500	C₂×M₁₆	—	2	1	no	—
501	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
502	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
503	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
504	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
505	C₂²×C₈	—	2	1	no	—
506	C₂²×C₈	—	2	1	no	—
507	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
508	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
509	C₄⋊Q₈	—	2	1	no	—
510	C₄⋊Q₈	—	2	2	no	—
511	C₄⋊Q₈	—	2	2	no	—
512	#124	—	2	1	no	—
513	#123	—	4	1	no	—
514	C₂²⋊Q₈	—	2	1	no	—
515	C₂²⋊Q₈	—	2	1	no	—
516	C₂²⋊Q₈	—	2	1	no	—
517	C₂²⋊Q₈	—	2	1	no	—
518	#121	—	2	1	no	—
519	#121	—	2	1	no	—
520	#121	—	4	1	no	—
521	C₄×Q₈	—	2	1	no	—
522	C₄×D₄	—	2	1	no	—
523	C₄×D₄	—	4	1	no	—
524	#117	—	2	1	no	—
525	#117	C₂³×C₂₃	1	1	yes	characteristic
526	C₂×C₄⋊C₄	—	2	1	no	—
527	C₂×C₄⋊C₄	—	4	1	no	—
528	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
529	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
530	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
531	#108	—	2	2	no	—
532	#107	—	2	1	no	—
533	#106	—	2	1	no	—
534	C₄⋊C₈	—	2	1	no	—
535	C₄⋊C₈	—	2	1	no	—
536	#104	—	2	2	no	—
537	#104	—	2	2	no	—
538	#104	D₄×C₂₃	1	4	yes	complemented
539	#103	—	2	1	no	—
540	#103	—	2	1	no	—
541	#103	—	2	1	no	—
542	#103	—	2	1	no	—
543	#103	—	2	1	no	—
544	#103	—	2	1	no	—
545	#103	—	2	1	no	—
546	#103	—	2	1	no	—
547	#103	—	2	1	no	—
548	#103	—	2	1	no	—
549	#103	—	2	1	no	—
550	#103	—	2	1	no	—
551	#103	—	2	1	no	—
552	#103	D₄×C₂₃	1	1	yes	characteristic
553	#103	D₄×C₂₃	1	1	yes	characteristic
554	#102	—	2	1	no	—
555	#102	—	2	1	no	—
556	#102	—	2	1	no	—
557	#102	D₄×C₂₃	1	1	yes	characteristic
558	#102	D₄×C₂₃	1	1	yes	characteristic
559	#101	—	2	2	no	—
560	#101	—	4	1	no	—
561	C₂²⋊C₈	—	2	1	no	—
562	C₂²⋊C₈	—	2	1	no	—
563	#97	—	2	2	no	—
564	#95	—	4	1	no	—
565	C₂₃	#25194	1	1	yes	characteristic, direct product factor, Sylow
566	#41	—	2	1	no	—
567	#41	—	2	1	no	—
568	#41	—	2	4	no	—
569	#41	—	2	1	no	—
570	#41	—	2	1	no	—
571	#41	—	2	1	no	—
572	#41	—	2	1	no	—
573	#41	—	2	1	no	—
574	#41	—	2	1	no	—
575	#41	—	2	1	no	—
576	#41	—	2	1	no	—
577	#41	—	4	2	no	—
578	#41	—	4	4	no	—
579	#41	—	4	2	no	—
580	#41	—	4	4	no	—
581	#41	—	4	2	no	—
582	#41	C₂×D₄×C₂₃	1	2	yes	—
583	#41	#41×C₂₃	1	2	yes	—
584	C₂×Q₈	—	2	1	no	—
585	C₂×Q₈	—	2	4	no	—
586	C₂×Q₈	—	2	1	no	—
587	C₂×Q₈	—	2	1	no	—
588	C₂×Q₈	—	2	1	no	—
589	C₂×Q₈	—	2	1	no	—
590	C₂×Q₈	—	2	1	no	—
591	C₂×Q₈	—	2	1	no	—
592	C₂×Q₈	—	2	1	no	—
593	C₂×Q₈	—	2	1	no	—
594	C₂×Q₈	—	2	1	no	—
595	C₂×Q₈	—	2	1	no	—
596	C₂×Q₈	—	4	1	no	—
597	C₂×Q₈	—	4	2	no	—
598	C₂×Q₈	—	4	2	no	—
599	C₂×Q₈	—	4	2	no	—
600	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
601	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
602	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
603	C₂×Q₈	#41×C₂₃	1	2	yes	—
604	C₂×D₄	—	2	1	no	—
605	C₂×D₄	—	2	1	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	—	4	1	no	—
608	C₂×D₄	—	4	1	no	—
609	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
610	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
611	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
612	C₂²×C₄	—	2	1	no	—
613	C₂²×C₄	—	2	1	no	—
614	C₂²×C₄	—	2	1	no	—
615	C₂²×C₄	—	2	1	no	—
616	C₂²×C₄	—	2	1	no	—
617	C₂²×C₄	—	2	1	no	—
618	C₂²×C₄	—	2	1	no	—
619	C₂²×C₄	—	2	1	no	—
620	C₂²×C₄	—	4	1	no	—
621	C₂²×C₄	—	4	1	no	—
622	C₂²×C₄	—	4	1	no	—
623	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
624	Q₁₆	—	2	2	no	—
625	Q₁₆	—	4	2	no	—
626	Q₁₆	—	4	2	no	—
627	Q₁₆	—	4	2	no	—
628	SD₁₆	—	2	2	no	—
629	SD₁₆	—	2	2	no	—
630	SD₁₆	—	4	2	no	—
631	SD₁₆	—	4	2	no	—
632	SD₁₆	—	4	2	no	—
633	D₈	—	2	2	no	—
634	M₁₆	—	2	1	no	—
635	M₁₆	—	2	1	no	—
636	M₁₆	—	2	1	no	—
637	M₁₆	—	2	1	no	—
638	M₁₆	—	2	1	no	—
639	M₁₆	—	2	1	no	—
640	M₁₆	—	2	1	no	—
641	M₁₆	—	4	2	no	—
642	M₁₆	—	4	2	no	—
643	M₁₆	C₂×D₄×C₂₃	1	2	yes	—
644	C₂×C₈	—	2	1	no	—
645	C₂×C₈	—	2	1	no	—
646	C₂×C₈	—	2	1	no	—
647	C₂×C₈	—	2	1	no	—
648	C₂×C₈	—	2	1	no	—
649	C₂×C₈	—	2	1	no	—
650	C₂×C₈	—	2	1	no	—
651	C₂×C₈	—	2	1	no	—
652	C₂×C₈	—	4	2	no	—
653	C₂×C₈	—	4	2	no	—
654	C₂×C₈	C₂×D₄×C₂₃	1	1	yes	characteristic
655	C₂×C₈	C₂×D₄×C₂₃	1	1	yes	characteristic
656	C₂×C₈	C₂×D₄×C₂₃	1	1	yes	characteristic
657	C₂×C₈	C₂×D₄×C₂₃	1	1	yes	characteristic
658	C₄⋊C₄	—	2	1	no	—
659	C₄⋊C₄	—	2	1	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	—	2	1	no	—
662	C₄⋊C₄	—	4	1	no	—
663	C₄⋊C₄	—	4	4	no	—
664	C₄⋊C₄	—	4	1	no	—
665	C₄⋊C₄	—	4	1	no	—
666	C₄⋊C₄	—	4	1	no	—
667	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
668	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
669	C₂²⋊C₄	—	2	1	no	—
670	C₂²⋊C₄	—	4	1	no	—
671	C₂²⋊C₄	—	4	1	no	—
672	C₂²⋊C₄	—	4	1	no	—
673	C₂²⋊C₄	—	4	1	no	—
674	C₂²⋊C₄	—	4	1	no	—
675	C₄²	—	2	1	no	—
676	C₄²	—	2	1	no	—
677	C₄²	—	4	1	no	—
678	C₄²	C₂×D₄×C₂₃	1	2	yes	—
679	C₂³	—	2	1	no	—
680	C₂³	—	2	1	no	—
681	C₂³	—	2	1	no	—
682	C₂³	C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
683	Q₈	—	2	1	no	—
684	Q₈	—	2	1	no	—
685	Q₈	—	2	1	no	—
686	Q₈	—	2	2	no	—
687	Q₈	—	2	1	no	—
688	Q₈	—	2	2	no	—
689	Q₈	—	2	1	no	—
690	Q₈	—	4	4	no	—
691	Q₈	—	4	1	no	—
692	Q₈	—	4	1	no	—
693	Q₈	—	4	1	no	—
694	Q₈	—	4	1	no	—
695	Q₈	—	4	1	no	—
696	Q₈	—	4	1	no	—
697	Q₈	C₂₃×#121	1	2	yes	—
698	D₄	—	2	2	no	—
699	D₄	—	2	2	no	—
700	D₄	—	2	1	no	—
701	D₄	—	2	1	no	—
702	D₄	—	2	1	no	—
703	D₄	—	2	1	no	—
704	D₄	—	2	1	no	—
705	D₄	—	4	4	no	—
706	D₄	—	4	1	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	16	1	no	—
711	D₄	C₂₃×#121	1	2	yes	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	2	no	—
720	C₂×C₄	—	2	2	no	—
721	C₂×C₄	—	4	4	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	4	no	—
725	C₂×C₄	—	4	1	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	1	no	—
728	C₂×C₄	—	4	1	no	—
729	C₂×C₄	—	4	1	no	—
730	C₂×C₄	—	4	1	no	—
731	C₂×C₄	—	4	1	no	—
732	C₂×C₄	—	4	1	no	—
733	C₂×C₄	—	4	1	no	—
734	C₂×C₄	—	4	1	no	—
735	C₂×C₄	—	4	1	no	—
736	C₂×C₄	—	8	1	no	—
737	C₂×C₄	—	8	1	no	—
738	C₂×C₄	—	16	1	no	—
739	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
740	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
741	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
742	C₂×C₄	C₂×#41×C₂₃	1	1	yes	characteristic
743	C₂×C₄	C₂×#41×C₂₃	1	1	yes	characteristic
744	C₂×C₄	C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
745	C₈	—	2	1	no	—
746	C₈	—	2	1	no	—
747	C₈	—	2	1	no	—
748	C₈	—	2	1	no	—
749	C₈	—	2	2	no	—
750	C₈	—	4	1	no	—
751	C₈	—	4	1	no	—
752	C₈	—	4	1	no	—
753	C₂²	—	2	1	no	—
754	C₂²	—	2	1	no	—
755	C₂²	—	2	2	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	4	1	no	—
759	C₂²	—	4	1	no	—
760	C₂²	—	4	1	no	—
761	C₂²	—	4	1	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	4	1	no	—
764	C₂²	C₂₃×#538	1	1	yes	characteristic
765	C₂²	D₄²×C₂₃	1	1	yes	characteristic
766	C₂²	C₂₃×#546	1	1	yes	characteristic
767	C₄	—	2	2	no	—
768	C₄	—	4	2	no	—
769	C₄	—	4	1	no	—
770	C₄	—	4	2	no	—
771	C₄	—	4	1	no	—
772	C₄	—	4	1	no	—
773	C₄	—	4	1	no	—
774	C₄	—	8	1	no	—
775	C₄	—	8	1	no	—
776	C₄	—	8	1	no	—
777	C₄	C₂×C₂₃×#121	1	1	yes	characteristic
778	C₄	C₂₃×#525	1	1	yes	characteristic
779	C₄	D₄²×C₂₃	1	1	yes	characteristic
780	C₄	C₂₃×#546	1	1	yes	characteristic
781	C₂	—	2	1	no	—
782	C₂	—	2	1	no	—
783	C₂	—	4	2	no	—
784	C₂	—	8	1	no	—
785	C₂	—	8	1	no	—
786	C₂	C₂₃×#2424	1	1	yes	characteristic
787	C₂	C₂₃×#3289	1	1	yes	characteristic
788	C₂	C₂₃×#3289	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₃
prime radical	C₂₃×#3013	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₂²×C₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3063	C₂	semidirect
2. C₂₃×#3046	C₂	semidirect
3. C₂×C₂₃×#456	C₂	semidirect
5. C₂×C₂₃×#444	C₂	semidirect
6. C₂₃×#2898	C₂	semidirect
7. C₂₃×#2064	C₂	semidirect
8. C₂₃×#2052	C₂	semidirect
9. C₂₃×#2040	C₂	semidirect
10. C₂₃×#2005	C₂	semidirect
11. C₂₃×#1960	C₂	semidirect
12. C₂₃×#1938	C₂	semidirect
13. C₂₃×#1908	C₂	semidirect
14. C₂₃×#1908	C₂	semidirect
15. C₂₃×#1860	C₂	semidirect
144. C₂₃×#104	D₄	semidirect
284. #25194	C₂₃	direct (N × H)
359. #3063	C₂×C₂₃	semidirect
360. #3046	C₂×C₂₃	semidirect
361. C₂×#456	C₂×C₂₃	semidirect
363. C₂×#444	C₂×C₂₃	semidirect
364. #2898	C₂×C₂₃	semidirect
365. #2064	C₂×C₂₃	semidirect
366. #2052	C₂×C₂₃	semidirect
367. #2040	C₂×C₂₃	semidirect
368. #2005	C₂×C₂₃	semidirect
369. #1960	C₂×C₂₃	semidirect
370. #1938	C₂×C₂₃	semidirect
371. #1908	C₂×C₂₃	semidirect
372. #1908	C₂×C₂₃	semidirect
373. #1860	C₂×C₂₃	semidirect
538. #104	D₄×C₂₃	semidirect
565. C₂₃	#25194	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₃×#3063	2
C₂₃×#3046	2
C₂×C₂₃×#456	2
C₂₃×#3013	2
C₂×C₂₃×#444	2
C₂₃×#2898	2
C₂₃×#2064	2
C₂₃×#2052	2
C₂₃×#2040	2
C₂₃×#2005	2
C₂₃×#1960	2
C₂₃×#1938	2
C₂₃×#1908	2
C₂₃×#1860	2
#25194	23

Subgroups — C23×#25194 #19172820

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#25194 #19172820