Subgroups — C₂₃×#60563 #19208189

Order 5888.

2180 conjugacy classes of subgroups.

The subgroup lattice has 1030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#41×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3117	C₂	1	2	yes	maximal, complemented
4	C₂₃×#3114	C₂	1	2	yes	maximal, complemented
5	C₂₃×#3111	C₂	1	4	yes	maximal, complemented
6	C₂₃×#3108	C₂	1	2	yes	maximal, complemented
7	C₂₃×#3105	C₂	1	2	yes	maximal, complemented
8	C₂₃×#3102	C₂	1	4	yes	maximal, complemented
9	C₂₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3094	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3080	C₂	1	2	yes	maximal, complemented
12	C₂₃×#3040	C₂	1	2	yes	maximal, complemented
13	C₂₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3006	C₂	1	1	yes	maximal, characteristic
15	C₄×C₂₃×#137	C₂	1	2	yes	maximal, complemented
16	C₄×C₂₃×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
17	C₂₃×#2920	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
19	C₂×C₂₃×#137	C₂²	1	2	yes	—
20	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
21	C₂₃×#529	—	2	1	no	—
22	C₂₃×#529	—	2	1	no	—
23	C₂₃×#529	—	2	1	no	—
24	C₂₃×#529	—	2	1	no	—
25	C₂₃×#529	C₂²	1	2	yes	—
26	C₂₃×#529	C₂²	1	2	yes	—
27	C₂₃×#529	C₂²	1	2	yes	complemented
28	C₂₃×#529	C₂²	1	2	yes	complemented
29	C₂×C₂₃×#126	—	2	1	no	—
30	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₂₃×#123	—	2	1	no	—
33	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
35	C₄×#41×C₂₃	—	2	1	no	—
36	C₄×#41×C₂₃	—	2	1	no	—
37	C₄×#41×C₂₃	—	2	1	no	—
38	C₄×#41×C₂₃	—	2	1	no	—
39	C₄×#41×C₂₃	C₂²	1	2	yes	—
40	C₄×#41×C₂₃	C₂²	1	2	yes	—
41	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
42	C₄×#41×C₂₃	C₂²	1	2	yes	complemented
43	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₂₃	—	2	1	no	—
47	C₂×C₄×D₄×C₂₃	—	2	1	no	—
48	C₂×C₄×D₄×C₂₃	—	2	1	no	—
49	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₂₃×#117	—	2	1	no	—
53	C₂×C₂₃×#117	—	2	1	no	—
54	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
55	C₂²×C₄²×C₂₃	—	2	1	no	—
56	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
57	C₂₃×#485	C₂²	1	4	yes	complemented
58	C₂₃×#484	C₂²	1	2	yes	complemented
59	C₂₃×#483	C₂²	1	2	yes	complemented
60	C₂₃×#482	C₂²	1	4	yes	complemented
61	C₂₃×#481	C₂²	1	2	yes	—
62	C₂₃×#480	C₂²	1	2	yes	—
63	C₂₃×#479	C₂²	1	4	yes	complemented
64	C₂₃×#479	C₂²	1	4	yes	complemented
65	C₂₃×#478	C₂²	1	4	yes	complemented
66	C₂₃×#478	C₂²	1	4	yes	complemented
67	C₂₃×#464	C₂²	1	4	yes	complemented
68	C₂₃×#464	C₂²	1	4	yes	complemented
69	C₂₃×#463	C₂²	1	4	yes	complemented
70	C₂₃×#463	C₂²	1	4	yes	complemented
71	C₂₃×#452	C₂²	1	4	yes	complemented
72	C₂₃×#451	C₂²	1	2	yes	complemented
73	C₂₃×#450	C₂²	1	2	yes	complemented
74	C₂₃×#449	C₂²	1	4	yes	—
75	C₂₃×#448	C₂²	1	2	yes	—
76	C₂₃×#447	C₂²	1	2	yes	—
77	C₂₃×#442	C₂²	1	4	yes	complemented
78	C₂₃×#441	C₂²	1	4	yes	complemented
79	C₂₃×#440	C₂²	1	4	yes	complemented
80	C₂₃×#440	C₂²	1	4	yes	complemented
81	C₄×Q₁₆×C₂₃	C₂²	1	4	yes	complemented
82	C₄×SD₁₆×C₂₃	C₂²	1	4	yes	complemented
83	C₄×SD₁₆×C₂₃	C₂²	1	4	yes	complemented
84	C₄×D₈×C₂₃	C₂²	1	4	yes	complemented
85	C₂₃×#432	C₂²	1	2	yes	complemented
86	C₂₃×#432	C₂²	1	2	yes	complemented
87	C₂₃×#431	C₂²	1	2	yes	complemented
88	C₂₃×#431	C₂²	1	2	yes	complemented
89	C₂₃×#428	C₂²	1	2	yes	complemented
90	C₂₃×#428	C₂²	1	2	yes	complemented
91	C₂₃×#423	C₂²	1	2	yes	complemented
92	C₂₃×#419	C₂²	1	2	yes	complemented
93	C₂₃×#418	C₂²	1	2	yes	complemented
94	C₂₃×#417	C₂²	1	2	yes	—
95	C₂₃×#417	C₂²	1	2	yes	—
96	C₂₃×#407	C₂²	1	1	yes	characteristic
97	C₂₃×#407	C₂²	1	1	yes	characteristic
98	C₄×M₁₆×C₂₃	C₂²	1	2	yes	complemented
99	C₂×#41×C₂₃	—	2	8	no	—
100	C₂×#41×C₂₃	—	2	1	no	—
101	C₂×#41×C₂₃	—	2	1	no	—
102	C₂×#41×C₂₃	C₂³	1	2	yes	—
103	C₂×#41×C₂₃	C₂³	1	2	yes	—
104	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
105	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
106	C₂²×D₄×C₂₃	—	2	1	no	—
107	C₂²×D₄×C₂₃	—	2	1	no	—
108	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
110	C₂³×C₄×C₂₃	—	2	1	no	—
111	C₂³×C₄×C₂₃	—	2	1	no	—
112	C₂³×C₄×C₂₃	—	2	1	no	—
113	C₂³×C₄×C₂₃	—	2	1	no	—
114	C₂³×C₄×C₂₃	D₄	1	1	yes	characteristic
115	C₂³×C₄×C₂₃	D₄	1	1	yes	characteristic
116	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
117	C₂₃×#137	—	2	8	no	—
118	C₂₃×AGL(1,ℤ/8)	—	2	8	no	—
119	C₂×Q₁₆×C₂₃	C₂³	1	4	yes	—
120	C₂×SD₁₆×C₂₃	C₂³	1	4	yes	—
121	C₂×SD₁₆×C₂₃	C₂³	1	4	yes	—
122	C₂×D₈×C₂₃	C₂³	1	4	yes	—
123	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
124	C₂×M₁₆×C₂₃	C₂³	1	2	yes	—
125	C₂₃×#126	—	2	2	no	—
126	C₂₃×#126	—	2	2	no	—
127	C₂₃×#126	—	2	2	no	—
128	C₂₃×#126	—	2	2	no	—
129	C₂₃×#125	—	2	1	no	—
130	C₂₃×#125	—	2	1	no	—
131	C₂₃×#125	C₂³	1	2	yes	—
132	C₂₃×#125	C₂³	1	2	yes	—
133	C₂₃×#124	—	2	1	no	—
134	C₂₃×#124	—	2	1	no	—
135	C₂₃×#124	C₂³	1	2	yes	—
136	C₂₃×#124	C₂³	1	2	yes	—
137	C₂₃×#123	—	2	2	no	—
138	C₂₃×#123	—	2	2	no	—
139	C₂₃×#123	—	2	2	no	—
140	C₂₃×#123	—	2	2	no	—
141	C₂₃×C₂²⋊Q₈	—	2	1	no	—
142	C₂₃×C₂²⋊Q₈	—	2	1	no	—
143	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
144	C₂₃×C₂²⋊Q₈	C₂³	1	2	yes	—
145	C₂₃×#121	—	2	1	no	—
146	C₂₃×#121	—	2	1	no	—
147	C₂₃×#121	C₂³	1	2	yes	—
148	C₂₃×#121	C₂³	1	2	yes	—
149	C₄×Q₈×C₂₃	—	2	1	no	—
150	C₄×Q₈×C₂₃	—	2	1	no	—
151	C₄×Q₈×C₂₃	—	2	1	no	—
152	C₄×Q₈×C₂₃	—	2	1	no	—
153	C₄×Q₈×C₂₃	—	2	1	no	—
154	C₄×Q₈×C₂₃	—	2	1	no	—
155	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
156	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
157	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
158	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
159	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
160	C₄×Q₈×C₂₃	C₂³	1	2	yes	—
161	C₄×D₄×C₂₃	—	2	2	no	—
162	C₄×D₄×C₂₃	—	2	2	no	—
163	C₄×D₄×C₂₃	—	2	2	no	—
164	C₄×D₄×C₂₃	—	2	2	no	—
165	C₄×D₄×C₂₃	—	2	2	no	—
166	C₄×D₄×C₂₃	—	2	2	no	—
167	C₄×D₄×C₂₃	—	2	2	no	—
168	C₄×D₄×C₂₃	—	2	2	no	—
169	C₄×D₄×C₂₃	—	2	2	no	—
170	C₄×D₄×C₂₃	—	2	2	no	—
171	C₄×D₄×C₂₃	—	2	2	no	—
172	C₄×D₄×C₂₃	—	2	2	no	—
173	C₄×D₄×C₂₃	—	2	1	no	—
174	C₄×D₄×C₂₃	—	2	1	no	—
175	C₄×D₄×C₂₃	—	2	1	no	—
176	C₄×D₄×C₂₃	—	2	1	no	—
177	C₄×D₄×C₂₃	—	2	1	no	—
178	C₄×D₄×C₂₃	—	2	1	no	—
179	C₄×D₄×C₂₃	C₂³	1	2	yes	—
180	C₄×D₄×C₂₃	C₂³	1	2	yes	—
181	C₄×D₄×C₂₃	C₂³	1	2	yes	—
182	C₄×D₄×C₂₃	C₂³	1	2	yes	—
183	C₄×D₄×C₂₃	C₂³	1	2	yes	—
184	C₄×D₄×C₂₃	C₂³	1	2	yes	—
185	C₂₃×#117	—	2	1	no	—
186	C₂₃×#117	—	2	1	no	—
187	C₂₃×#117	—	2	2	no	—
188	C₂₃×#117	—	2	2	no	—
189	C₂₃×#117	—	2	2	no	—
190	C₂₃×#117	—	2	2	no	—
191	C₂₃×#117	—	2	2	no	—
192	C₂₃×#117	—	2	2	no	—
193	C₂₃×#117	—	2	2	no	—
194	C₂₃×#117	—	2	2	no	—
195	C₂₃×#117	C₂³	1	2	yes	—
196	C₂₃×#117	C₂³	1	2	yes	—
197	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
198	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
199	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
200	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
201	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
202	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
203	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
208	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
209	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
210	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
211	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
212	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
213	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
214	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
215	C₂×C₄²×C₂₃	—	2	1	no	—
216	C₂×C₄²×C₂₃	—	2	1	no	—
217	C₂×C₄²×C₂₃	—	2	1	no	—
218	C₂×C₄²×C₂₃	—	2	1	no	—
219	C₂×C₄²×C₂₃	—	2	2	no	—
220	C₂×C₄²×C₂₃	—	2	2	no	—
221	C₂×C₄²×C₂₃	—	2	2	no	—
222	C₂×C₄²×C₂₃	—	2	2	no	—
223	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
224	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
225	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
226	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
227	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
228	C₂×C₄²×C₂₃	D₄	1	1	yes	characteristic
229	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
235	C₂₃×#107	C₂³	1	4	yes	—
236	C₂₃×#107	C₂³	1	4	yes	—
237	C₂₃×#106	C₂³	1	4	yes	—
238	C₂₃×#106	C₂³	1	4	yes	—
239	C₂₃×C₄⋊C₈	C₂³	1	4	yes	—
240	C₂₃×C₄⋊C₈	C₂³	1	4	yes	—
241	C₂₃×#103	C₂³	1	4	yes	—
242	C₂₃×#103	C₂³	1	4	yes	—
243	C₂₃×#103	C₂³	1	4	yes	—
244	C₂₃×#103	C₂³	1	4	yes	—
245	C₂₃×#102	C₂³	1	4	yes	—
246	C₂₃×#102	C₂³	1	4	yes	—
247	C₂₃×#102	C₂³	1	4	yes	—
248	C₂₃×#102	C₂³	1	4	yes	—
249	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
250	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
251	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
252	C₂₃×C₂²⋊C₈	C₂³	1	2	yes	—
253	C₂₃×#97	C₂³	1	4	yes	—
254	C₄×C₈×C₂₃	C₂³	1	4	yes	—
255	C₂⁴×C₂₃	—	2	1	no	—
256	C₂⁴×C₂₃	—	2	1	no	—
257	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
258	#41×C₂₃	—	2	8	no	—
259	#41×C₂₃	—	2	8	no	—
260	#41×C₂₃	—	2	4	no	—
261	#41×C₂₃	—	2	4	no	—
262	#41×C₂₃	—	2	4	no	—
263	#41×C₂₃	#41	1	8	yes	—
264	C₂×Q₈×C₂₃	—	2	4	no	—
265	C₂×Q₈×C₂₃	—	2	1	no	—
266	C₂×Q₈×C₂₃	—	2	1	no	—
267	C₂×Q₈×C₂₃	—	2	4	no	—
268	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
269	C₂×Q₈×C₂₃	C₂⁴	1	2	yes	—
270	C₂×D₄×C₂₃	—	2	8	no	—
271	C₂×D₄×C₂₃	—	2	2	no	—
272	C₂×D₄×C₂₃	—	2	2	no	—
273	C₂×D₄×C₂₃	—	2	4	no	—
274	C₂×D₄×C₂₃	—	2	2	no	—
275	C₂×D₄×C₂₃	—	2	2	no	—
276	C₂×D₄×C₂₃	—	2	1	no	—
277	C₂×D₄×C₂₃	—	2	1	no	—
278	C₂×D₄×C₂₃	—	2	4	no	—
279	C₂×D₄×C₂₃	—	4	4	no	—
280	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
281	C₂×D₄×C₂₃	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₂₃	—	2	8	no	—
283	C₂²×C₄×C₂₃	—	2	1	no	—
284	C₂²×C₄×C₂₃	—	2	2	no	—
285	C₂²×C₄×C₂₃	—	2	2	no	—
286	C₂²×C₄×C₂₃	—	2	4	no	—
287	C₂²×C₄×C₂₃	—	2	1	no	—
288	C₂²×C₄×C₂₃	—	2	1	no	—
289	C₂²×C₄×C₂₃	—	2	1	no	—
290	C₂²×C₄×C₂₃	—	2	1	no	—
291	C₂²×C₄×C₂₃	—	2	1	no	—
292	C₂²×C₄×C₂₃	—	2	2	no	—
293	C₂²×C₄×C₂₃	—	2	2	no	—
294	C₂²×C₄×C₂₃	—	2	2	no	—
295	C₂²×C₄×C₂₃	—	2	2	no	—
296	C₂²×C₄×C₂₃	—	2	2	no	—
297	C₂²×C₄×C₂₃	—	2	2	no	—
298	C₂²×C₄×C₂₃	—	4	2	no	—
299	C₂²×C₄×C₂₃	—	4	2	no	—
300	C₂²×C₄×C₂₃	—	4	4	no	—
301	C₂²×C₄×C₂₃	—	4	4	no	—
302	C₂²×C₄×C₂₃	—	4	4	no	—
303	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
304	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
305	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
306	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
307	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
308	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
309	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
310	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
311	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
312	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
313	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
314	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
315	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
316	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
317	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
318	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
321	Q₁₆×C₂₃	—	2	8	no	—
322	SD₁₆×C₂₃	—	2	8	no	—
323	SD₁₆×C₂₃	—	2	8	no	—
324	D₈×C₂₃	—	2	8	no	—
325	M₁₆×C₂₃	—	2	4	no	—
326	M₁₆×C₂₃	—	2	4	no	—
327	C₂×C₈×C₂₃	C₂⁴	1	4	yes	—
328	C₂×C₈×C₂₃	C₂⁴	1	4	yes	—
329	C₄⋊C₄×C₂₃	—	2	2	no	—
330	C₄⋊C₄×C₂₃	—	2	2	no	—
331	C₄⋊C₄×C₂₃	—	2	2	no	—
332	C₄⋊C₄×C₂₃	—	2	2	no	—
333	C₄⋊C₄×C₂₃	—	2	2	no	—
334	C₄⋊C₄×C₂₃	—	2	2	no	—
335	C₄⋊C₄×C₂₃	—	2	2	no	—
336	C₄⋊C₄×C₂₃	—	2	2	no	—
337	C₄⋊C₄×C₂₃	—	2	2	no	—
338	C₄⋊C₄×C₂₃	—	2	2	no	—
339	C₄⋊C₄×C₂₃	—	2	2	no	—
340	C₄⋊C₄×C₂₃	—	2	2	no	—
341	C₄⋊C₄×C₂₃	—	2	1	no	—
342	C₄⋊C₄×C₂₃	—	2	1	no	—
343	C₄⋊C₄×C₂₃	—	2	1	no	—
344	C₄⋊C₄×C₂₃	—	2	1	no	—
345	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
346	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
347	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
348	C₄⋊C₄×C₂₃	C₂⁴	1	2	yes	—
349	C₂²⋊C₄×C₂₃	—	2	2	no	—
350	C₂²⋊C₄×C₂₃	—	2	2	no	—
351	C₂²⋊C₄×C₂₃	—	2	2	no	—
352	C₂²⋊C₄×C₂₃	—	2	2	no	—
353	C₂²⋊C₄×C₂₃	—	2	2	no	—
354	C₂²⋊C₄×C₂₃	—	2	2	no	—
355	C₂²⋊C₄×C₂₃	—	2	2	no	—
356	C₂²⋊C₄×C₂₃	—	2	2	no	—
357	C₂²⋊C₄×C₂₃	—	2	2	no	—
358	C₂²⋊C₄×C₂₃	—	2	2	no	—
359	C₂²⋊C₄×C₂₃	—	2	2	no	—
360	C₂²⋊C₄×C₂₃	—	2	2	no	—
361	C₂²⋊C₄×C₂₃	—	2	2	no	—
362	C₂²⋊C₄×C₂₃	—	2	2	no	—
363	C₂²⋊C₄×C₂₃	—	2	2	no	—
364	C₂²⋊C₄×C₂₃	—	2	2	no	—
365	C₄²×C₂₃	—	2	2	no	—
366	C₄²×C₂₃	—	2	2	no	—
367	C₄²×C₂₃	—	2	2	no	—
368	C₄²×C₂₃	—	2	2	no	—
369	C₄²×C₂₃	—	2	2	no	—
370	C₄²×C₂₃	—	2	2	no	—
371	C₄²×C₂₃	—	2	2	no	—
372	C₄²×C₂₃	—	2	2	no	—
373	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
374	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
375	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
376	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
377	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
378	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
379	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
380	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
381	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
382	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
383	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
384	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
385	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
386	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
387	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
388	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
389	#60563	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
390	C₂³×C₂₃	—	2	4	no	—
391	C₂³×C₂₃	—	2	2	no	—
392	C₂³×C₂₃	—	2	2	no	—
393	C₂³×C₂₃	—	2	2	no	—
394	C₂³×C₂₃	—	2	2	no	—
395	C₂³×C₂₃	—	4	1	no	—
396	C₂³×C₂₃	—	4	2	no	—
397	C₂³×C₂₃	—	4	2	no	—
398	C₂³×C₂₃	—	4	2	no	—
399	C₂³×C₂₃	—	4	2	no	—
400	C₂³×C₂₃	—	4	2	no	—
401	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
402	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
403	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
404	Q₈×C₂₃	—	2	4	no	—
405	Q₈×C₂₃	—	2	2	no	—
406	Q₈×C₂₃	—	2	4	no	—
407	Q₈×C₂₃	—	4	2	no	—
408	Q₈×C₂₃	C₂×#41	1	4	yes	—
409	D₄×C₂₃	—	2	8	no	—
410	D₄×C₂₃	—	2	4	no	—
411	D₄×C₂₃	—	2	8	no	—
412	D₄×C₂₃	—	2	2	no	—
413	D₄×C₂₃	—	2	4	no	—
414	D₄×C₂₃	—	4	4	no	—
415	D₄×C₂₃	—	4	4	no	—
416	D₄×C₂₃	—	4	2	no	—
417	D₄×C₂₃	C₂×#41	1	4	yes	—
418	C₂×C₄×C₂₃	—	2	4	no	—
419	C₂×C₄×C₂₃	—	2	8	no	—
420	C₂×C₄×C₂₃	—	2	2	no	—
421	C₂×C₄×C₂₃	—	2	2	no	—
422	C₂×C₄×C₂₃	—	2	2	no	—
423	C₂×C₄×C₂₃	—	2	2	no	—
424	C₂×C₄×C₂₃	—	2	2	no	—
425	C₂×C₄×C₂₃	—	2	8	no	—
426	C₂×C₄×C₂₃	—	2	2	no	—
427	C₂×C₄×C₂₃	—	2	2	no	—
428	C₂×C₄×C₂₃	—	2	2	no	—
429	C₂×C₄×C₂₃	—	2	2	no	—
430	C₂×C₄×C₂₃	—	2	2	no	—
431	C₂×C₄×C₂₃	—	2	2	no	—
432	C₂×C₄×C₂₃	—	2	2	no	—
433	C₂×C₄×C₂₃	—	2	2	no	—
434	C₂×C₄×C₂₃	—	2	2	no	—
435	C₂×C₄×C₂₃	—	2	2	no	—
436	C₂×C₄×C₂₃	—	2	2	no	—
437	C₂×C₄×C₂₃	—	4	1	no	—
438	C₂×C₄×C₂₃	—	4	1	no	—
439	C₂×C₄×C₂₃	—	4	1	no	—
440	C₂×C₄×C₂₃	—	4	1	no	—
441	C₂×C₄×C₂₃	—	4	1	no	—
442	C₂×C₄×C₂₃	—	4	1	no	—
443	C₂×C₄×C₂₃	—	4	1	no	—
444	C₂×C₄×C₂₃	—	4	4	no	—
445	C₂×C₄×C₂₃	—	4	4	no	—
446	C₂×C₄×C₂₃	—	4	4	no	—
447	C₂×C₄×C₂₃	—	4	4	no	—
448	C₂×C₄×C₂₃	—	4	2	no	—
449	C₂×C₄×C₂₃	—	4	2	no	—
450	C₂×C₄×C₂₃	—	4	2	no	—
451	C₂×C₄×C₂₃	—	4	2	no	—
452	C₂×C₄×C₂₃	—	4	2	no	—
453	C₂×C₄×C₂₃	—	4	4	no	—
454	C₂×C₄×C₂₃	—	4	4	no	—
455	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
456	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
457	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
458	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
459	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
460	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
461	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
462	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
463	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
466	C₂×C₄×C₂₃	C₂×#41	1	4	yes	—
467	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
468	C₈×C₂₃	—	2	4	no	—
469	C₈×C₂₃	—	2	4	no	—
470	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
471	C₂×C₄×#41	C₂×C₂₃	1	1	yes	characteristic, complemented
472	#3117	C₂×C₂₃	1	2	yes	complemented
473	#3114	C₂×C₂₃	1	2	yes	complemented
474	#3111	C₂×C₂₃	1	4	yes	complemented
475	#3108	C₂×C₂₃	1	2	yes	complemented
476	#3105	C₂×C₂₃	1	2	yes	complemented
477	#3102	C₂×C₂₃	1	4	yes	complemented
478	#3095	C₂×C₂₃	1	1	yes	characteristic, complemented
479	#3094	C₂×C₂₃	1	1	yes	characteristic, complemented
480	#3080	C₂×C₂₃	1	2	yes	complemented
481	#3040	C₂×C₂₃	1	2	yes	complemented
482	#3007	C₂×C₂₃	1	1	yes	characteristic, complemented
483	#3006	C₂×C₂₃	1	1	yes	characteristic
484	C₄×#137	C₂×C₂₃	1	2	yes	complemented
485	C₄×AGL(1,ℤ/8)	C₂×C₂₃	1	2	yes	complemented
486	#2920	C₂×C₂₃	1	1	yes	characteristic, complemented
487	C₂²×C₂₃	—	2	1	no	—
488	C₂²×C₂₃	—	2	1	no	—
489	C₂²×C₂₃	—	2	1	no	—
490	C₂²×C₂₃	—	2	1	no	—
491	C₂²×C₂₃	—	2	1	no	—
492	C₂²×C₂₃	—	2	4	no	—
493	C₂²×C₂₃	—	2	1	no	—
494	C₂²×C₂₃	—	2	1	no	—
495	C₂²×C₂₃	—	4	4	no	—
496	C₂²×C₂₃	—	4	8	no	—
497	C₂²×C₂₃	—	4	2	no	—
498	C₂²×C₂₃	—	4	2	no	—
499	C₂²×C₂₃	—	4	2	no	—
500	C₂²×C₂₃	—	4	2	no	—
501	C₂²×C₂₃	—	4	2	no	—
502	C₂²×C₂₃	—	8	4	no	—
503	C₂²×C₂₃	#525	1	2	yes	—
504	C₂²×C₂₃	#575	1	2	yes	—
505	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
506	C₄×C₂₃	—	2	1	no	—
507	C₄×C₂₃	—	2	4	no	—
508	C₄×C₂₃	—	2	1	no	—
509	C₄×C₂₃	—	2	1	no	—
510	C₄×C₂₃	—	2	1	no	—
511	C₄×C₂₃	—	2	1	no	—
512	C₄×C₂₃	—	2	1	no	—
513	C₄×C₂₃	—	2	1	no	—
514	C₄×C₂₃	—	2	1	no	—
515	C₄×C₂₃	—	2	1	no	—
516	C₄×C₂₃	—	4	2	no	—
517	C₄×C₂₃	—	4	2	no	—
518	C₄×C₂₃	—	4	2	no	—
519	C₄×C₂₃	—	4	2	no	—
520	C₄×C₂₃	—	4	2	no	—
521	C₄×C₂₃	#525	1	2	yes	—
522	C₄×C₂₃	#575	1	2	yes	—
523	C₄×C₂₃	C₂²×#41	1	2	yes	—
524	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
525	C₂×#137	C₂²×C₂₃	1	2	yes	—
526	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	2	yes	—
527	#529	—	2	1	no	—
528	#529	—	2	1	no	—
529	#529	—	2	1	no	—
530	#529	—	2	1	no	—
531	#529	C₂²×C₂₃	1	2	yes	—
532	#529	C₂²×C₂₃	1	2	yes	—
533	#529	C₂²×C₂₃	1	2	yes	complemented
534	#529	C₂²×C₂₃	1	2	yes	complemented
535	C₂×#126	—	2	1	no	—
536	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
537	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
538	C₂×#123	—	2	1	no	—
539	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
540	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
541	C₄×#41	—	2	1	no	—
542	C₄×#41	—	2	1	no	—
543	C₄×#41	—	2	1	no	—
544	C₄×#41	—	2	1	no	—
545	C₄×#41	C₂²×C₂₃	1	2	yes	—
546	C₄×#41	C₂²×C₂₃	1	2	yes	—
547	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
548	C₄×#41	C₂²×C₂₃	1	2	yes	complemented
549	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
550	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
551	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
552	C₂×C₄×D₄	—	2	1	no	—
553	C₂×C₄×D₄	—	2	1	no	—
554	C₂×C₄×D₄	—	2	1	no	—
555	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
556	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
557	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
558	C₂×#117	—	2	1	no	—
559	C₂×#117	—	2	1	no	—
560	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
561	C₂²×C₄²	—	2	1	no	—
562	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
563	#485	C₂²×C₂₃	1	4	yes	complemented
564	#484	C₂²×C₂₃	1	2	yes	complemented
565	#483	C₂²×C₂₃	1	2	yes	complemented
566	#482	C₂²×C₂₃	1	4	yes	complemented
567	#481	C₂²×C₂₃	1	2	yes	—
568	#480	C₂²×C₂₃	1	2	yes	—
569	#479	C₂²×C₂₃	1	4	yes	complemented
570	#479	C₂²×C₂₃	1	4	yes	complemented
571	#478	C₂²×C₂₃	1	4	yes	complemented
572	#478	C₂²×C₂₃	1	4	yes	complemented
573	#464	C₂²×C₂₃	1	4	yes	complemented
574	#464	C₂²×C₂₃	1	4	yes	complemented
575	#463	C₂²×C₂₃	1	4	yes	complemented
576	#463	C₂²×C₂₃	1	4	yes	complemented
577	#452	C₂²×C₂₃	1	4	yes	complemented
578	#451	C₂²×C₂₃	1	2	yes	complemented
579	#450	C₂²×C₂₃	1	2	yes	complemented
580	#449	C₂²×C₂₃	1	4	yes	—
581	#448	C₂²×C₂₃	1	2	yes	—
582	#447	C₂²×C₂₃	1	2	yes	—
583	#442	C₂²×C₂₃	1	4	yes	complemented
584	#441	C₂²×C₂₃	1	4	yes	complemented
585	#440	C₂²×C₂₃	1	4	yes	complemented
586	#440	C₂²×C₂₃	1	4	yes	complemented
587	C₄×Q₁₆	C₂²×C₂₃	1	4	yes	complemented
588	C₄×SD₁₆	C₂²×C₂₃	1	4	yes	complemented
589	C₄×SD₁₆	C₂²×C₂₃	1	4	yes	complemented
590	C₄×D₈	C₂²×C₂₃	1	4	yes	complemented
591	#432	C₂²×C₂₃	1	2	yes	complemented
592	#432	C₂²×C₂₃	1	2	yes	complemented
593	#431	C₂²×C₂₃	1	2	yes	complemented
594	#431	C₂²×C₂₃	1	2	yes	complemented
595	#428	C₂²×C₂₃	1	2	yes	complemented
596	#428	C₂²×C₂₃	1	2	yes	complemented
597	#423	C₂²×C₂₃	1	2	yes	complemented
598	#419	C₂²×C₂₃	1	2	yes	complemented
599	#418	C₂²×C₂₃	1	2	yes	complemented
600	#417	C₂²×C₂₃	1	2	yes	—
601	#417	C₂²×C₂₃	1	2	yes	—
602	#407	C₂²×C₂₃	1	1	yes	characteristic
603	#407	C₂²×C₂₃	1	1	yes	characteristic
604	C₄×M₁₆	C₂²×C₂₃	1	2	yes	complemented
605	C₂×C₂₃	—	2	2	no	—
606	C₂×C₂₃	—	2	2	no	—
607	C₂×C₂₃	—	4	1	no	—
608	C₂×C₂₃	—	4	4	no	—
609	C₂×C₂₃	—	8	2	no	—
610	C₂×C₂₃	C₂×#525	1	1	yes	characteristic
611	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
612	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
613	C₂×#41	—	2	8	no	—
614	C₂×#41	—	2	1	no	—
615	C₂×#41	—	2	1	no	—
616	C₂×#41	C₂³×C₂₃	1	2	yes	—
617	C₂×#41	C₂³×C₂₃	1	2	yes	—
618	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
619	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
620	C₂²×D₄	—	2	1	no	—
621	C₂²×D₄	—	2	1	no	—
622	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
623	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
624	C₂³×C₄	—	2	1	no	—
625	C₂³×C₄	—	2	1	no	—
626	C₂³×C₄	—	2	1	no	—
627	C₂³×C₄	—	2	1	no	—
628	C₂³×C₄	D₄×C₂₃	1	1	yes	characteristic
629	C₂³×C₄	D₄×C₂₃	1	1	yes	characteristic
630	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
631	#137	—	2	8	no	—
632	AGL(1,ℤ/8)	—	2	8	no	—
633	C₂×Q₁₆	C₂³×C₂₃	1	4	yes	—
634	C₂×SD₁₆	C₂³×C₂₃	1	4	yes	—
635	C₂×SD₁₆	C₂³×C₂₃	1	4	yes	—
636	C₂×D₈	C₂³×C₂₃	1	4	yes	—
637	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
638	C₂×M₁₆	C₂³×C₂₃	1	2	yes	—
639	#126	—	2	2	no	—
640	#126	—	2	2	no	—
641	#126	—	2	2	no	—
642	#126	—	2	2	no	—
643	#125	—	2	1	no	—
644	#125	—	2	1	no	—
645	#125	C₂³×C₂₃	1	2	yes	—
646	#125	C₂³×C₂₃	1	2	yes	—
647	#124	—	2	1	no	—
648	#124	—	2	1	no	—
649	#124	C₂³×C₂₃	1	2	yes	—
650	#124	C₂³×C₂₃	1	2	yes	—
651	#123	—	2	2	no	—
652	#123	—	2	2	no	—
653	#123	—	2	2	no	—
654	#123	—	2	2	no	—
655	C₂²⋊Q₈	—	2	1	no	—
656	C₂²⋊Q₈	—	2	1	no	—
657	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
658	C₂²⋊Q₈	C₂³×C₂₃	1	2	yes	—
659	#121	—	2	1	no	—
660	#121	—	2	1	no	—
661	#121	C₂³×C₂₃	1	2	yes	—
662	#121	C₂³×C₂₃	1	2	yes	—
663	C₄×Q₈	—	2	1	no	—
664	C₄×Q₈	—	2	1	no	—
665	C₄×Q₈	—	2	1	no	—
666	C₄×Q₈	—	2	1	no	—
667	C₄×Q₈	—	2	1	no	—
668	C₄×Q₈	—	2	1	no	—
669	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
670	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
671	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
672	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
673	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
674	C₄×Q₈	C₂³×C₂₃	1	2	yes	—
675	C₄×D₄	—	2	2	no	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	2	no	—
678	C₄×D₄	—	2	2	no	—
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	1	no	—
688	C₄×D₄	—	2	1	no	—
689	C₄×D₄	—	2	1	no	—
690	C₄×D₄	—	2	1	no	—
691	C₄×D₄	—	2	1	no	—
692	C₄×D₄	—	2	1	no	—
693	C₄×D₄	C₂³×C₂₃	1	2	yes	—
694	C₄×D₄	C₂³×C₂₃	1	2	yes	—
695	C₄×D₄	C₂³×C₂₃	1	2	yes	—
696	C₄×D₄	C₂³×C₂₃	1	2	yes	—
697	C₄×D₄	C₂³×C₂₃	1	2	yes	—
698	C₄×D₄	C₂³×C₂₃	1	2	yes	—
699	#117	—	2	1	no	—
700	#117	—	2	1	no	—
701	#117	—	2	2	no	—
702	#117	—	2	2	no	—
703	#117	—	2	2	no	—
704	#117	—	2	2	no	—
705	#117	—	2	2	no	—
706	#117	—	2	2	no	—
707	#117	—	2	2	no	—
708	#117	—	2	2	no	—
709	#117	C₂³×C₂₃	1	2	yes	—
710	#117	C₂³×C₂₃	1	2	yes	—
711	C₂×C₄⋊C₄	—	2	1	no	—
712	C₂×C₄⋊C₄	—	2	1	no	—
713	C₂×C₄⋊C₄	—	2	1	no	—
714	C₂×C₄⋊C₄	—	2	1	no	—
715	C₂×C₄⋊C₄	—	2	1	no	—
716	C₂×C₄⋊C₄	—	2	1	no	—
717	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	—	2	1	no	—
722	C₂×C₂²⋊C₄	—	2	1	no	—
723	C₂×C₂²⋊C₄	—	2	1	no	—
724	C₂×C₂²⋊C₄	—	2	1	no	—
725	C₂×C₂²⋊C₄	—	2	1	no	—
726	C₂×C₂²⋊C₄	—	2	1	no	—
727	C₂×C₂²⋊C₄	—	2	1	no	—
728	C₂×C₂²⋊C₄	—	2	1	no	—
729	C₂×C₄²	—	2	1	no	—
730	C₂×C₄²	—	2	1	no	—
731	C₂×C₄²	—	2	1	no	—
732	C₂×C₄²	—	2	1	no	—
733	C₂×C₄²	—	2	2	no	—
734	C₂×C₄²	—	2	2	no	—
735	C₂×C₄²	—	2	2	no	—
736	C₂×C₄²	—	2	2	no	—
737	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
738	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
739	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
740	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
741	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
742	C₂×C₄²	D₄×C₂₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
744	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
745	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
746	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
747	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
748	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
749	#107	C₂³×C₂₃	1	4	yes	—
750	#107	C₂³×C₂₃	1	4	yes	—
751	#106	C₂³×C₂₃	1	4	yes	—
752	#106	C₂³×C₂₃	1	4	yes	—
753	C₄⋊C₈	C₂³×C₂₃	1	4	yes	—
754	C₄⋊C₈	C₂³×C₂₃	1	4	yes	—
755	#103	C₂³×C₂₃	1	4	yes	—
756	#103	C₂³×C₂₃	1	4	yes	—
757	#103	C₂³×C₂₃	1	4	yes	—
758	#103	C₂³×C₂₃	1	4	yes	—
759	#102	C₂³×C₂₃	1	4	yes	—
760	#102	C₂³×C₂₃	1	4	yes	—
761	#102	C₂³×C₂₃	1	4	yes	—
762	#102	C₂³×C₂₃	1	4	yes	—
763	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
764	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
765	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
766	C₂²⋊C₈	C₂³×C₂₃	1	2	yes	—
767	#97	C₂³×C₂₃	1	4	yes	—
768	C₄×C₈	C₂³×C₂₃	1	4	yes	—
769	C₂₃	#60563	1	1	yes	characteristic, direct product factor, Sylow
770	C₂⁴	—	2	1	no	—
771	C₂⁴	—	2	1	no	—
772	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
773	#41	—	2	8	no	—
774	#41	—	2	8	no	—
775	#41	—	2	4	no	—
776	#41	—	2	4	no	—
777	#41	—	2	4	no	—
778	#41	#41×C₂₃	1	8	yes	—
779	C₂×Q₈	—	2	4	no	—
780	C₂×Q₈	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×Q₈	—	2	4	no	—
783	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
784	C₂×Q₈	C₂⁴×C₂₃	1	2	yes	—
785	C₂×D₄	—	2	8	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	2	no	—
788	C₂×D₄	—	2	4	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	2	no	—
791	C₂×D₄	—	2	1	no	—
792	C₂×D₄	—	2	1	no	—
793	C₂×D₄	—	2	4	no	—
794	C₂×D₄	—	4	4	no	—
795	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
796	C₂×D₄	C₂⁴×C₂₃	1	2	yes	—
797	C₂²×C₄	—	2	8	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	4	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	1	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	2	2	no	—
809	C₂²×C₄	—	2	2	no	—
810	C₂²×C₄	—	2	2	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	4	2	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	—	4	4	no	—
816	C₂²×C₄	—	4	4	no	—
817	C₂²×C₄	—	4	4	no	—
818	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
819	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
820	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
821	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
822	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
823	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
824	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
825	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
826	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
827	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
828	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
829	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
830	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
831	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
832	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
836	Q₁₆	—	2	8	no	—
837	SD₁₆	—	2	8	no	—
838	SD₁₆	—	2	8	no	—
839	D₈	—	2	8	no	—
840	M₁₆	—	2	4	no	—
841	M₁₆	—	2	4	no	—
842	C₂×C₈	C₂⁴×C₂₃	1	4	yes	—
843	C₂×C₈	C₂⁴×C₂₃	1	4	yes	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	2	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	1	no	—
857	C₄⋊C₄	—	2	1	no	—
858	C₄⋊C₄	—	2	1	no	—
859	C₄⋊C₄	—	2	1	no	—
860	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
861	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
862	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
863	C₄⋊C₄	C₂⁴×C₂₃	1	2	yes	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	2	no	—
866	C₂²⋊C₄	—	2	2	no	—
867	C₂²⋊C₄	—	2	2	no	—
868	C₂²⋊C₄	—	2	2	no	—
869	C₂²⋊C₄	—	2	2	no	—
870	C₂²⋊C₄	—	2	2	no	—
871	C₂²⋊C₄	—	2	2	no	—
872	C₂²⋊C₄	—	2	2	no	—
873	C₂²⋊C₄	—	2	2	no	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	2	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	2	no	—
879	C₂²⋊C₄	—	2	2	no	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	2	no	—
882	C₄²	—	2	2	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	2	no	—
886	C₄²	—	2	2	no	—
887	C₄²	—	2	2	no	—
888	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
889	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
890	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
891	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
892	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
893	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
894	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
895	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
896	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
897	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
898	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
899	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
900	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
901	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
902	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
903	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
904	C₂³	—	2	4	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	4	1	no	—
910	C₂³	—	4	2	no	—
911	C₂³	—	4	2	no	—
912	C₂³	—	4	2	no	—
913	C₂³	—	4	2	no	—
914	C₂³	—	4	2	no	—
915	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
916	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
917	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
918	Q₈	—	2	4	no	—
919	Q₈	—	2	2	no	—
920	Q₈	—	2	4	no	—
921	Q₈	—	4	2	no	—
922	Q₈	C₂×#41×C₂₃	1	4	yes	—
923	D₄	—	2	8	no	—
924	D₄	—	2	4	no	—
925	D₄	—	2	8	no	—
926	D₄	—	2	2	no	—
927	D₄	—	2	4	no	—
928	D₄	—	4	4	no	—
929	D₄	—	4	4	no	—
930	D₄	—	4	2	no	—
931	D₄	C₂×#41×C₂₃	1	4	yes	—
932	C₂×C₄	—	2	4	no	—
933	C₂×C₄	—	2	8	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	8	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	4	1	no	—
952	C₂×C₄	—	4	1	no	—
953	C₂×C₄	—	4	1	no	—
954	C₂×C₄	—	4	1	no	—
955	C₂×C₄	—	4	1	no	—
956	C₂×C₄	—	4	1	no	—
957	C₂×C₄	—	4	1	no	—
958	C₂×C₄	—	4	4	no	—
959	C₂×C₄	—	4	4	no	—
960	C₂×C₄	—	4	4	no	—
961	C₂×C₄	—	4	4	no	—
962	C₂×C₄	—	4	2	no	—
963	C₂×C₄	—	4	2	no	—
964	C₂×C₄	—	4	2	no	—
965	C₂×C₄	—	4	2	no	—
966	C₂×C₄	—	4	2	no	—
967	C₂×C₄	—	4	4	no	—
968	C₂×C₄	—	4	4	no	—
969	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
970	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
971	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
972	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
973	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
974	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
975	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
976	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
977	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
978	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
979	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
980	C₂×C₄	C₂×#41×C₂₃	1	4	yes	—
981	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
982	C₈	—	2	4	no	—
983	C₈	—	2	4	no	—
984	C₂²	—	2	1	no	—
985	C₂²	—	2	1	no	—
986	C₂²	—	2	1	no	—
987	C₂²	—	2	1	no	—
988	C₂²	—	2	1	no	—
989	C₂²	—	2	4	no	—
990	C₂²	—	2	1	no	—
991	C₂²	—	2	1	no	—
992	C₂²	—	4	4	no	—
993	C₂²	—	4	8	no	—
994	C₂²	—	4	2	no	—
995	C₂²	—	4	2	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	8	4	no	—
1000	C₂²	C₂₃×#525	1	2	yes	—
1001	C₂²	C₂₃×#575	1	2	yes	—
1002	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1003	C₄	—	2	1	no	—
1004	C₄	—	2	4	no	—
1005	C₄	—	2	1	no	—
1006	C₄	—	2	1	no	—
1007	C₄	—	2	1	no	—
1008	C₄	—	2	1	no	—
1009	C₄	—	2	1	no	—
1010	C₄	—	2	1	no	—
1011	C₄	—	2	1	no	—
1012	C₄	—	2	1	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	4	2	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	2	no	—
1018	C₄	C₂₃×#525	1	2	yes	—
1019	C₄	C₂₃×#575	1	2	yes	—
1020	C₄	C₂²×#41×C₂₃	1	2	yes	—
1021	C₂	—	2	2	no	—
1022	C₂	—	2	2	no	—
1023	C₂	—	4	1	no	—
1024	C₂	—	4	4	no	—
1025	C₂	—	8	2	no	—
1026	C₂	C₂×C₂₃×#525	1	1	yes	characteristic
1027	C₂	C₂×C₂₃×#575	1	1	yes	characteristic
1028	C₂	C₂×C₂₃×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₂₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
socle	C₂²×C₂₃	C₂³×D₄
prime radical	C₂₃×#3006	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₂₃ ◁ C₂²×C₄²×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#529	C₂	semidirect
2. C₂×C₄×#41×C₂₃	C₂	semidirect
3. C₂₃×#3117	C₂	semidirect
4. C₂₃×#3114	C₂	semidirect
5. C₂₃×#3111	C₂	semidirect
6. C₂₃×#3108	C₂	semidirect
7. C₂₃×#3105	C₂	semidirect
8. C₂₃×#3102	C₂	semidirect
9. C₂₃×#3095	C₂	semidirect
10. C₂₃×#3094	C₂	semidirect
11. C₂₃×#3080	C₂	semidirect
12. C₂₃×#3040	C₂	semidirect
13. C₂₃×#3007	C₂	semidirect
15. C₄×C₂₃×#137	C₂	semidirect
16. C₄×C₂₃×AGL(1,ℤ/8)	C₂	semidirect
17. C₂₃×#2920	C₂	semidirect
27. C₂₃×#529	C₂²	semidirect
28. C₂₃×#529	C₂²	semidirect
30. C₂×C₂₃×#125	C₂²	semidirect
31. C₂×C₂₃×#124	C₂²	semidirect
41. C₄×#41×C₂₃	C₂²	semidirect
42. C₄×#41×C₂₃	C₂²	semidirect
43. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
44. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
45. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
49. C₂×C₄×D₄×C₂₃	C₂²	semidirect
50. C₂×C₄×D₄×C₂₃	C₂²	semidirect
51. C₂×C₄×D₄×C₂₃	C₂²	semidirect
57. C₂₃×#485	C₂²	semidirect
58. C₂₃×#484	C₂²	semidirect
59. C₂₃×#483	C₂²	semidirect
60. C₂₃×#482	C₂²	semidirect
63. C₂₃×#479	C₂²	semidirect
64. C₂₃×#479	C₂²	semidirect
65. C₂₃×#478	C₂²	semidirect
66. C₂₃×#478	C₂²	semidirect
67. C₂₃×#464	C₂²	semidirect
68. C₂₃×#464	C₂²	semidirect
69. C₂₃×#463	C₂²	semidirect
70. C₂₃×#463	C₂²	semidirect
71. C₂₃×#452	C₂²	semidirect
72. C₂₃×#451	C₂²	semidirect
73. C₂₃×#450	C₂²	semidirect
77. C₂₃×#442	C₂²	semidirect
78. C₂₃×#441	C₂²	semidirect
79. C₂₃×#440	C₂²	semidirect
80. C₂₃×#440	C₂²	semidirect
81. C₄×Q₁₆×C₂₃	C₂²	semidirect
82. C₄×SD₁₆×C₂₃	C₂²	semidirect
83. C₄×SD₁₆×C₂₃	C₂²	semidirect
84. C₄×D₈×C₂₃	C₂²	semidirect
85. C₂₃×#432	C₂²	semidirect
86. C₂₃×#432	C₂²	semidirect
87. C₂₃×#431	C₂²	semidirect
88. C₂₃×#431	C₂²	semidirect
89. C₂₃×#428	C₂²	semidirect
90. C₂₃×#428	C₂²	semidirect
91. C₂₃×#423	C₂²	semidirect
92. C₂₃×#419	C₂²	semidirect
93. C₂₃×#418	C₂²	semidirect
98. C₄×M₁₆×C₂₃	C₂²	semidirect
389. #60563	C₂₃	direct (N × H)
470. C₂×#529	C₂×C₂₃	semidirect
471. C₂×C₄×#41	C₂×C₂₃	semidirect
472. #3117	C₂×C₂₃	semidirect
473. #3114	C₂×C₂₃	semidirect
474. #3111	C₂×C₂₃	semidirect
475. #3108	C₂×C₂₃	semidirect
476. #3105	C₂×C₂₃	semidirect
477. #3102	C₂×C₂₃	semidirect
478. #3095	C₂×C₂₃	semidirect
479. #3094	C₂×C₂₃	semidirect
480. #3080	C₂×C₂₃	semidirect
481. #3040	C₂×C₂₃	semidirect
482. #3007	C₂×C₂₃	semidirect
484. C₄×#137	C₂×C₂₃	semidirect
485. C₄×AGL(1,ℤ/8)	C₂×C₂₃	semidirect
486. #2920	C₂×C₂₃	semidirect
533. #529	C₂²×C₂₃	semidirect
534. #529	C₂²×C₂₃	semidirect
536. C₂×#125	C₂²×C₂₃	semidirect
537. C₂×#124	C₂²×C₂₃	semidirect
547. C₄×#41	C₂²×C₂₃	semidirect
548. C₄×#41	C₂²×C₂₃	semidirect
549. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
550. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
551. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
555. C₂×C₄×D₄	C₂²×C₂₃	semidirect
556. C₂×C₄×D₄	C₂²×C₂₃	semidirect
557. C₂×C₄×D₄	C₂²×C₂₃	semidirect
563. #485	C₂²×C₂₃	semidirect
564. #484	C₂²×C₂₃	semidirect
565. #483	C₂²×C₂₃	semidirect
566. #482	C₂²×C₂₃	semidirect
569. #479	C₂²×C₂₃	semidirect
570. #479	C₂²×C₂₃	semidirect
571. #478	C₂²×C₂₃	semidirect
572. #478	C₂²×C₂₃	semidirect
573. #464	C₂²×C₂₃	semidirect
574. #464	C₂²×C₂₃	semidirect
575. #463	C₂²×C₂₃	semidirect
576. #463	C₂²×C₂₃	semidirect
577. #452	C₂²×C₂₃	semidirect
578. #451	C₂²×C₂₃	semidirect
579. #450	C₂²×C₂₃	semidirect
583. #442	C₂²×C₂₃	semidirect
584. #441	C₂²×C₂₃	semidirect
585. #440	C₂²×C₂₃	semidirect
586. #440	C₂²×C₂₃	semidirect
587. C₄×Q₁₆	C₂²×C₂₃	semidirect
588. C₄×SD₁₆	C₂²×C₂₃	semidirect
589. C₄×SD₁₆	C₂²×C₂₃	semidirect
590. C₄×D₈	C₂²×C₂₃	semidirect
591. #432	C₂²×C₂₃	semidirect
592. #432	C₂²×C₂₃	semidirect
593. #431	C₂²×C₂₃	semidirect
594. #431	C₂²×C₂₃	semidirect
595. #428	C₂²×C₂₃	semidirect
596. #428	C₂²×C₂₃	semidirect
597. #423	C₂²×C₂₃	semidirect
598. #419	C₂²×C₂₃	semidirect
599. #418	C₂²×C₂₃	semidirect
604. C₄×M₁₆	C₂²×C₂₃	semidirect
769. C₂₃	#60563	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×C₂₃×#529	2
C₂×C₄×#41×C₂₃	2
C₂₃×#3117	2
C₂₃×#3114	2
C₂₃×#3111	2
C₂₃×#3108	2
C₂₃×#3105	2
C₂₃×#3102	2
C₂₃×#3095	2
C₂₃×#3094	2
C₂₃×#3080	2
C₂₃×#3040	2
C₂₃×#3007	2
C₂₃×#3006	2
C₄×C₂₃×#137	2
C₄×C₂₃×AGL(1,ℤ/8)	2
C₂₃×#2920	2
#60563	23

Subgroups — C23×#60563 #19208189

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#60563 #19208189