Subgroups — C₂₃×#61732 #19209358

Order 5888.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3505	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3355	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3336	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3197	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3191	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₃×#556	C₂²	1	1	yes	characteristic, complemented
33	C₂₃×#555	C₂²	1	1	yes	characteristic, complemented
34	C₂₃×#554	C₂²	1	1	yes	characteristic
35	C₂₃×#553	—	2	1	no	—
36	C₂₃×#553	—	2	1	no	—
37	C₂₃×#553	C₂²	1	1	yes	characteristic
38	C₂₃×#553	C₂²	1	1	yes	characteristic
39	C₂₃×#553	C₂²	1	1	yes	characteristic
40	C₂₃×#553	C₂²	1	1	yes	characteristic, complemented
41	C₂₃×#552	—	2	1	no	—
42	C₂₃×#552	C₂²	1	1	yes	characteristic
43	C₂₃×#552	C₂²	1	1	yes	characteristic
44	C₂₃×#552	C₂²	1	1	yes	characteristic
45	C₂₃×#552	C₂²	1	1	yes	characteristic, complemented
46	C₂₃×#551	—	2	1	no	—
47	C₂₃×#551	—	2	1	no	—
48	C₂₃×#551	—	2	1	no	—
49	C₂₃×#551	—	2	1	no	—
50	C₂₃×#548	C₂²	1	1	yes	characteristic
51	C₂₃×#548	C₂²	1	1	yes	characteristic
52	C₂₃×#547	C₂²	1	1	yes	characteristic
53	C₂₃×#546	—	2	1	no	—
54	C₂₃×#546	C₂²	1	1	yes	characteristic
55	C₂₃×#546	C₂²	1	1	yes	characteristic
56	C₂₃×#539	—	2	1	no	—
57	C₂₃×#538	—	2	1	no	—
58	C₂₃×#534	—	2	1	no	—
59	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
60	C₂₃×#529	—	2	1	no	—
61	C₂₃×#529	—	2	1	no	—
62	C₂₃×#529	—	2	1	no	—
63	C₂₃×#529	C₂²	1	1	yes	characteristic
64	C₂₃×#529	C₂²	1	1	yes	characteristic
65	C₂₃×#525	C₂²	1	1	yes	characteristic
66	C₂₃×#525	C₂²	1	1	yes	characteristic
67	C₂₃×#525	C₂²	1	1	yes	characteristic
68	C₂₃×#525	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
70	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
71	C₂₃×#518	—	2	1	no	—
72	C₄×#41×C₂₃	—	2	1	no	—
73	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
75	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
76	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#499	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#499	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#482	C₂²	1	1	yes	characteristic
104	C₂₃×#482	C₂²	1	1	yes	characteristic
105	C₂₃×#482	C₂²	1	1	yes	characteristic
106	C₂₃×#482	C₂²	1	1	yes	characteristic
107	C₂₃×#482	C₂²	1	1	yes	characteristic
108	C₂₃×#482	C₂²	1	1	yes	characteristic
109	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
117	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
118	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
122	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
129	C₂₃×#477	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#476	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#475	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#474	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#449	C₂²	1	1	yes	characteristic
160	C₂₃×#449	C₂²	1	1	yes	characteristic
161	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
169	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
172	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#435	C₂²	1	1	yes	characteristic
176	C₂₃×#435	C₂²	1	1	yes	characteristic
177	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
178	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
179	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
180	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
181	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
182	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
183	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
184	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
185	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
186	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
187	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
188	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₂₃×#107	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₂₃×#106	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂₃×#407	C₂²	1	1	yes	characteristic
200	C₂₃×#407	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₂₃	—	2	1	no	—
204	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
205	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
206	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₂₃	—	2	1	no	—
209	C₂²×D₄×C₂₃	D₄	1	1	yes	characteristic
210	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
221	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
222	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
223	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
229	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂₃×#126	—	2	1	no	—
232	C₂₃×#126	—	2	1	no	—
233	C₂₃×#126	—	2	1	no	—
234	C₂₃×#126	—	2	1	no	—
235	C₂₃×#126	—	2	1	no	—
236	C₂₃×#126	—	2	1	no	—
237	C₂₃×#126	—	2	1	no	—
238	C₂₃×#126	—	2	1	no	—
239	C₂₃×#126	—	2	1	no	—
240	C₂₃×#126	—	2	1	no	—
241	C₂₃×#126	—	2	1	no	—
242	C₂₃×#126	—	2	1	no	—
243	C₂₃×#125	—	2	1	no	—
244	C₂₃×#125	—	2	1	no	—
245	C₂₃×#125	—	2	1	no	—
246	C₂₃×#125	—	2	1	no	—
247	C₂₃×#125	—	2	1	no	—
248	C₂₃×#125	C₂³	1	1	yes	characteristic
249	C₂₃×#125	C₂³	1	1	yes	characteristic
250	C₂₃×#125	C₂³	1	1	yes	characteristic
251	C₂₃×#125	C₂³	1	1	yes	characteristic
252	C₂₃×#124	—	2	1	no	—
253	C₂₃×#124	—	2	1	no	—
254	C₂₃×#124	—	2	1	no	—
255	C₂₃×#124	—	2	1	no	—
256	C₂₃×#124	—	2	1	no	—
257	C₂₃×#124	C₂³	1	1	yes	characteristic
258	C₂₃×#124	C₂³	1	1	yes	characteristic
259	C₂₃×#123	—	2	1	no	—
260	C₂₃×#123	—	2	1	no	—
261	C₂₃×#123	—	2	1	no	—
262	C₂₃×#123	—	2	1	no	—
263	C₂₃×#123	—	2	1	no	—
264	C₂₃×#123	—	2	1	no	—
265	C₂₃×#123	—	2	1	no	—
266	C₂₃×#123	—	2	1	no	—
267	C₂₃×#123	—	2	1	no	—
268	C₂₃×#123	—	2	1	no	—
269	C₂₃×#123	—	2	1	no	—
270	C₂₃×#123	—	2	1	no	—
271	C₂₃×#123	—	2	1	no	—
272	C₂₃×#123	—	2	1	no	—
273	C₂₃×#123	—	2	1	no	—
274	C₂₃×#123	—	2	1	no	—
275	C₂₃×#123	—	2	1	no	—
276	C₂₃×#123	—	2	1	no	—
277	C₂₃×C₂²⋊Q₈	—	2	1	no	—
278	C₂₃×C₂²⋊Q₈	—	2	1	no	—
279	C₂₃×C₂²⋊Q₈	—	2	1	no	—
280	C₂₃×C₂²⋊Q₈	—	2	1	no	—
281	C₂₃×C₂²⋊Q₈	—	2	1	no	—
282	C₂₃×C₂²⋊Q₈	—	2	1	no	—
283	C₂₃×C₂²⋊Q₈	—	2	1	no	—
284	C₂₃×C₂²⋊Q₈	—	2	1	no	—
285	C₂₃×C₂²⋊Q₈	—	2	1	no	—
286	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
287	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
288	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
289	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
290	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
291	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
292	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
293	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
294	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
295	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
296	C₂₃×#121	—	2	1	no	—
297	C₂₃×#121	—	2	1	no	—
298	C₂₃×#121	—	2	1	no	—
299	C₂₃×#121	—	2	1	no	—
300	C₂₃×#121	—	2	1	no	—
301	C₂₃×#121	—	2	1	no	—
302	C₂₃×#121	—	2	1	no	—
303	C₂₃×#121	—	2	1	no	—
304	C₂₃×#121	—	2	1	no	—
305	C₂₃×#121	—	2	1	no	—
306	C₂₃×#121	—	2	1	no	—
307	C₂₃×#121	C₂³	1	1	yes	characteristic
308	C₂₃×#121	C₂³	1	1	yes	characteristic
309	C₂₃×#121	C₂³	1	1	yes	characteristic
310	C₂₃×#121	C₂³	1	1	yes	characteristic
311	C₂₃×#121	C₂³	1	1	yes	characteristic
312	C₂₃×#121	C₂³	1	1	yes	characteristic
313	C₂₃×#121	C₂³	1	1	yes	characteristic
314	C₂₃×#121	C₂³	1	1	yes	characteristic
315	C₂₃×#121	C₂³	1	1	yes	characteristic
316	C₂₃×#121	C₂³	1	1	yes	characteristic
317	C₂₃×#120	—	2	1	no	—
318	C₂₃×#120	—	2	1	no	—
319	C₂₃×#120	—	2	1	no	—
320	C₂₃×#120	—	2	1	no	—
321	C₂₃×#120	—	2	1	no	—
322	C₂₃×#120	—	2	1	no	—
323	C₄×Q₈×C₂₃	—	2	1	no	—
324	C₄×Q₈×C₂₃	—	2	1	no	—
325	C₄×Q₈×C₂₃	—	2	1	no	—
326	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
327	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₂₃	—	2	1	no	—
331	C₄×D₄×C₂₃	—	2	1	no	—
332	C₄×D₄×C₂₃	—	2	1	no	—
333	C₄×D₄×C₂₃	—	2	1	no	—
334	C₄×D₄×C₂₃	—	2	1	no	—
335	C₄×D₄×C₂₃	—	2	1	no	—
336	C₄×D₄×C₂₃	—	2	1	no	—
337	C₄×D₄×C₂₃	—	2	1	no	—
338	C₄×D₄×C₂₃	—	2	1	no	—
339	C₄×D₄×C₂₃	—	2	1	no	—
340	C₄×D₄×C₂₃	—	2	1	no	—
341	C₄×D₄×C₂₃	—	2	1	no	—
342	C₄×D₄×C₂₃	—	2	1	no	—
343	C₄×D₄×C₂₃	—	2	1	no	—
344	C₄×D₄×C₂₃	—	2	1	no	—
345	C₄×D₄×C₂₃	—	2	1	no	—
346	C₄×D₄×C₂₃	—	2	1	no	—
347	C₄×D₄×C₂₃	—	2	1	no	—
348	C₄×D₄×C₂₃	—	2	1	no	—
349	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
350	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
351	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
352	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
353	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
361	C₂₃×#117	—	2	1	no	—
362	C₂₃×#117	—	2	1	no	—
363	C₂₃×#117	—	2	1	no	—
364	C₂₃×#117	—	2	1	no	—
365	C₂₃×#117	—	2	1	no	—
366	C₂₃×#117	—	2	1	no	—
367	C₂₃×#117	—	2	1	no	—
368	C₂₃×#117	—	2	1	no	—
369	C₂₃×#117	—	2	1	no	—
370	C₂₃×#117	—	2	1	no	—
371	C₂₃×#117	—	2	1	no	—
372	C₂₃×#117	—	2	1	no	—
373	C₂₃×#117	C₂³	1	1	yes	characteristic
374	C₂₃×#117	C₂³	1	1	yes	characteristic
375	C₂₃×#117	C₂³	1	1	yes	characteristic
376	C₂₃×#117	C₂³	1	1	yes	characteristic
377	C₂₃×#117	C₂³	1	1	yes	characteristic
378	C₂₃×#117	C₂³	1	1	yes	characteristic
379	C₂₃×#117	C₂³	1	1	yes	characteristic
380	C₂₃×#117	C₂³	1	1	yes	characteristic
381	C₂₃×#117	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
383	C₂×C₄⋊C₄×C₂₃	D₄	1	1	yes	characteristic
384	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
390	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
391	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
392	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
393	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
394	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
395	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
396	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
397	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
398	C₂×C₄²×C₂₃	—	2	1	no	—
399	C₂×C₄²×C₂₃	—	2	1	no	—
400	C₂×C₄²×C₂₃	—	2	1	no	—
401	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
402	C₂₃×#107	C₂³	1	1	yes	characteristic
403	C₂₃×#107	C₂³	1	1	yes	characteristic
404	C₂₃×#107	C₂³	1	1	yes	characteristic
405	C₂₃×#107	C₂³	1	1	yes	characteristic
406	C₂₃×#107	C₂³	1	1	yes	characteristic
407	C₂₃×#107	C₂³	1	1	yes	characteristic
408	C₂₃×#107	C₂³	1	1	yes	characteristic
409	C₂₃×#107	C₂³	1	1	yes	characteristic
410	C₂₃×#107	C₂³	1	1	yes	characteristic
411	C₂₃×#107	C₂³	1	1	yes	characteristic
412	C₂₃×#107	C₂³	1	1	yes	characteristic
413	C₂₃×#107	C₂³	1	1	yes	characteristic
414	C₂₃×#106	C₂³	1	1	yes	characteristic
415	C₂₃×#106	C₂³	1	1	yes	characteristic
416	C₂₃×#106	C₂³	1	1	yes	characteristic
417	C₂₃×#106	C₂³	1	1	yes	characteristic
418	C₂₃×#106	C₂³	1	1	yes	characteristic
419	C₂₃×#106	C₂³	1	1	yes	characteristic
420	C₂₃×#106	C₂³	1	1	yes	characteristic
421	C₂₃×#106	C₂³	1	1	yes	characteristic
422	C₂₃×#106	C₂³	1	1	yes	characteristic
423	C₂₃×#106	C₂³	1	1	yes	characteristic
424	C₂₃×#106	C₂³	1	1	yes	characteristic
425	C₂₃×#106	C₂³	1	1	yes	characteristic
426	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₂₃×#103	C₂³	1	1	yes	characteristic
431	C₂₃×#103	C₂³	1	1	yes	characteristic
432	C₂₃×#103	C₂³	1	1	yes	characteristic
433	C₂₃×#103	C₂³	1	1	yes	characteristic
434	C₂₃×#103	C₂³	1	1	yes	characteristic
435	C₂₃×#103	C₂³	1	1	yes	characteristic
436	C₂₃×#103	C₂³	1	1	yes	characteristic
437	C₂₃×#103	C₂³	1	1	yes	characteristic
438	C₂₃×#103	C₂³	1	1	yes	characteristic
439	C₂₃×#103	C₂³	1	1	yes	characteristic
440	C₂₃×#103	C₂³	1	1	yes	characteristic
441	C₂₃×#103	C₂³	1	1	yes	characteristic
442	C₂₃×#103	C₂³	1	1	yes	characteristic
443	C₂₃×#103	C₂³	1	1	yes	characteristic
444	C₂₃×#103	C₂³	1	1	yes	characteristic
445	C₂₃×#103	C₂³	1	1	yes	characteristic
446	C₂₃×#102	C₂³	1	1	yes	characteristic
447	C₂₃×#102	C₂³	1	1	yes	characteristic
448	C₂₃×#102	C₂³	1	1	yes	characteristic
449	C₂₃×#102	C₂³	1	1	yes	characteristic
450	C₂₃×#102	C₂³	1	1	yes	characteristic
451	C₂₃×#102	C₂³	1	1	yes	characteristic
452	C₂₃×#102	C₂³	1	1	yes	characteristic
453	C₂₃×#102	C₂³	1	1	yes	characteristic
454	C₂₃×#102	C₂³	1	1	yes	characteristic
455	C₂₃×#102	C₂³	1	1	yes	characteristic
456	C₂₃×#102	C₂³	1	1	yes	characteristic
457	C₂₃×#102	C₂³	1	1	yes	characteristic
458	C₂₃×#102	C₂³	1	1	yes	characteristic
459	C₂₃×#102	C₂³	1	1	yes	characteristic
460	C₂₃×#102	C₂³	1	1	yes	characteristic
461	C₂₃×#102	C₂³	1	1	yes	characteristic
462	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₂₃×#97	C₂³	1	1	yes	characteristic
475	C₂₃×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
478	C₂⁴×C₂₃	—	2	1	no	—
479	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
480	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
481	#41×C₂₃	—	4	1	no	—
482	#41×C₂₃	—	4	1	no	—
483	#41×C₂₃	—	4	1	no	—
484	#41×C₂₃	—	4	1	no	—
485	#41×C₂₃	—	4	1	no	—
486	#41×C₂₃	—	4	1	no	—
487	#41×C₂₃	—	4	4	no	—
488	C₂×Q₈×C₂₃	—	2	1	no	—
489	C₂×Q₈×C₂₃	—	2	1	no	—
490	C₂×Q₈×C₂₃	—	2	1	no	—
491	C₂×Q₈×C₂₃	—	4	1	no	—
492	C₂×Q₈×C₂₃	—	4	1	no	—
493	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₂₃	—	2	1	no	—
497	C₂×D₄×C₂₃	—	2	1	no	—
498	C₂×D₄×C₂₃	—	2	1	no	—
499	C₂×D₄×C₂₃	—	2	1	no	—
500	C₂×D₄×C₂₃	—	2	1	no	—
501	C₂×D₄×C₂₃	—	2	1	no	—
502	C₂×D₄×C₂₃	—	2	1	no	—
503	C₂×D₄×C₂₃	—	2	1	no	—
504	C₂×D₄×C₂₃	—	2	1	no	—
505	C₂×D₄×C₂₃	—	2	1	no	—
506	C₂×D₄×C₂₃	—	2	1	no	—
507	C₂×D₄×C₂₃	—	2	1	no	—
508	C₂×D₄×C₂₃	—	2	1	no	—
509	C₂×D₄×C₂₃	—	2	1	no	—
510	C₂×D₄×C₂₃	—	4	1	no	—
511	C₂×D₄×C₂₃	—	4	1	no	—
512	C₂×D₄×C₂₃	—	4	2	no	—
513	C₂×D₄×C₂₃	—	4	4	no	—
514	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₂₃	—	2	1	no	—
522	C₂²×C₄×C₂₃	—	2	1	no	—
523	C₂²×C₄×C₂₃	—	2	1	no	—
524	C₂²×C₄×C₂₃	—	2	1	no	—
525	C₂²×C₄×C₂₃	—	2	1	no	—
526	C₂²×C₄×C₂₃	—	2	1	no	—
527	C₂²×C₄×C₂₃	—	2	1	no	—
528	C₂²×C₄×C₂₃	—	2	1	no	—
529	C₂²×C₄×C₂₃	—	2	1	no	—
530	C₂²×C₄×C₂₃	—	2	1	no	—
531	C₂²×C₄×C₂₃	—	2	1	no	—
532	C₂²×C₄×C₂₃	—	2	1	no	—
533	C₂²×C₄×C₂₃	—	2	1	no	—
534	C₂²×C₄×C₂₃	—	2	1	no	—
535	C₂²×C₄×C₂₃	—	4	1	no	—
536	C₂²×C₄×C₂₃	—	4	1	no	—
537	C₂²×C₄×C₂₃	—	4	1	no	—
538	C₂²×C₄×C₂₃	—	4	1	no	—
539	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
552	Q₁₆×C₂₃	—	4	1	no	—
553	Q₁₆×C₂₃	—	4	1	no	—
554	SD₁₆×C₂₃	—	4	1	no	—
555	SD₁₆×C₂₃	—	4	1	no	—
556	SD₁₆×C₂₃	—	4	1	no	—
557	SD₁₆×C₂₃	—	4	1	no	—
558	D₈×C₂₃	—	4	1	no	—
559	D₈×C₂₃	—	4	1	no	—
560	M₁₆×C₂₃	—	4	1	no	—
561	M₁₆×C₂₃	—	4	1	no	—
562	M₁₆×C₂₃	—	4	1	no	—
563	M₁₆×C₂₃	—	4	1	no	—
564	C₂×C₈×C₂₃	—	4	1	no	—
565	C₂×C₈×C₂₃	—	4	1	no	—
566	C₂×C₈×C₂₃	—	4	1	no	—
567	C₂×C₈×C₂₃	—	4	1	no	—
568	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
576	C₄⋊C₄×C₂₃	—	2	1	no	—
577	C₄⋊C₄×C₂₃	—	2	1	no	—
578	C₄⋊C₄×C₂₃	—	2	1	no	—
579	C₄⋊C₄×C₂₃	—	2	1	no	—
580	C₄⋊C₄×C₂₃	—	2	1	no	—
581	C₄⋊C₄×C₂₃	—	2	1	no	—
582	C₄⋊C₄×C₂₃	—	2	1	no	—
583	C₄⋊C₄×C₂₃	—	2	1	no	—
584	C₄⋊C₄×C₂₃	—	2	1	no	—
585	C₄⋊C₄×C₂₃	—	2	1	no	—
586	C₄⋊C₄×C₂₃	—	2	1	no	—
587	C₄⋊C₄×C₂₃	—	2	1	no	—
588	C₄⋊C₄×C₂₃	—	2	1	no	—
589	C₄⋊C₄×C₂₃	—	2	1	no	—
590	C₄⋊C₄×C₂₃	—	2	1	no	—
591	C₄⋊C₄×C₂₃	—	2	1	no	—
592	C₄⋊C₄×C₂₃	—	2	1	no	—
593	C₄⋊C₄×C₂₃	—	2	1	no	—
594	C₄⋊C₄×C₂₃	—	2	1	no	—
595	C₄⋊C₄×C₂₃	—	2	1	no	—
596	C₄⋊C₄×C₂₃	—	2	1	no	—
597	C₄⋊C₄×C₂₃	—	2	1	no	—
598	C₄⋊C₄×C₂₃	—	2	1	no	—
599	C₄⋊C₄×C₂₃	—	2	1	no	—
600	C₄⋊C₄×C₂₃	—	2	1	no	—
601	C₄⋊C₄×C₂₃	—	2	1	no	—
602	C₄⋊C₄×C₂₃	—	2	1	no	—
603	C₄⋊C₄×C₂₃	—	2	1	no	—
604	C₄⋊C₄×C₂₃	—	2	1	no	—
605	C₄⋊C₄×C₂₃	—	2	1	no	—
606	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
620	C₂²⋊C₄×C₂₃	—	2	1	no	—
621	C₂²⋊C₄×C₂₃	—	2	1	no	—
622	C₂²⋊C₄×C₂₃	—	2	1	no	—
623	C₂²⋊C₄×C₂₃	—	2	1	no	—
624	C₂²⋊C₄×C₂₃	—	2	1	no	—
625	C₂²⋊C₄×C₂₃	—	2	1	no	—
626	C₂²⋊C₄×C₂₃	—	2	1	no	—
627	C₂²⋊C₄×C₂₃	—	2	1	no	—
628	C₂²⋊C₄×C₂₃	—	2	1	no	—
629	C₂²⋊C₄×C₂₃	—	2	1	no	—
630	C₂²⋊C₄×C₂₃	—	2	1	no	—
631	C₂²⋊C₄×C₂₃	—	2	1	no	—
632	C₂²⋊C₄×C₂₃	—	2	1	no	—
633	C₂²⋊C₄×C₂₃	—	2	1	no	—
634	C₂²⋊C₄×C₂₃	—	2	1	no	—
635	C₂²⋊C₄×C₂₃	—	2	1	no	—
636	C₂²⋊C₄×C₂₃	—	2	1	no	—
637	C₂²⋊C₄×C₂₃	—	2	1	no	—
638	C₂²⋊C₄×C₂₃	—	2	1	no	—
639	C₂²⋊C₄×C₂₃	—	2	1	no	—
640	C₂²⋊C₄×C₂₃	—	2	1	no	—
641	C₂²⋊C₄×C₂₃	—	2	1	no	—
642	C₂²⋊C₄×C₂₃	—	2	1	no	—
643	C₂²⋊C₄×C₂₃	—	2	1	no	—
644	C₂²⋊C₄×C₂₃	—	2	1	no	—
645	C₂²⋊C₄×C₂₃	—	2	1	no	—
646	C₂²⋊C₄×C₂₃	—	2	1	no	—
647	C₂²⋊C₄×C₂₃	—	2	1	no	—
648	C₂²⋊C₄×C₂₃	—	2	1	no	—
649	C₂²⋊C₄×C₂₃	—	2	1	no	—
650	C₂²⋊C₄×C₂₃	—	2	1	no	—
651	C₂²⋊C₄×C₂₃	—	2	1	no	—
652	C₂²⋊C₄×C₂₃	—	2	1	no	—
653	C₂²⋊C₄×C₂₃	—	2	1	no	—
654	C₂²⋊C₄×C₂₃	—	2	1	no	—
655	C₂²⋊C₄×C₂₃	—	2	1	no	—
656	C₂²⋊C₄×C₂₃	—	2	1	no	—
657	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₂₃	—	2	1	no	—
666	C₄²×C₂₃	—	2	1	no	—
667	C₄²×C₂₃	—	2	1	no	—
668	C₄²×C₂₃	—	2	1	no	—
669	C₄²×C₂₃	—	2	1	no	—
670	C₄²×C₂₃	—	2	1	no	—
671	C₄²×C₂₃	—	2	1	no	—
672	C₄²×C₂₃	—	2	1	no	—
673	C₄²×C₂₃	—	2	1	no	—
674	C₄²×C₂₃	—	2	1	no	—
675	C₄²×C₂₃	—	2	1	no	—
676	C₄²×C₂₃	—	2	1	no	—
677	C₄²×C₂₃	—	2	1	no	—
678	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
682	#61732	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
683	C₂³×C₂₃	—	2	2	no	—
684	C₂³×C₂₃	—	2	1	no	—
685	C₂³×C₂₃	—	2	1	no	—
686	C₂³×C₂₃	—	2	1	no	—
687	C₂³×C₂₃	—	4	1	no	—
688	C₂³×C₂₃	—	4	1	no	—
689	C₂³×C₂₃	—	4	1	no	—
690	C₂³×C₂₃	—	4	1	no	—
691	C₂³×C₂₃	—	4	1	no	—
692	C₂³×C₂₃	—	4	2	no	—
693	C₂³×C₂₃	—	8	1	no	—
694	C₂³×C₂₃	—	8	1	no	—
695	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
696	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
697	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
698	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
700	Q₈×C₂₃	—	2	1	no	—
701	Q₈×C₂₃	—	2	1	no	—
702	Q₈×C₂₃	—	2	1	no	—
703	Q₈×C₂₃	—	2	1	no	—
704	Q₈×C₂₃	—	2	1	no	—
705	Q₈×C₂₃	—	2	1	no	—
706	Q₈×C₂₃	—	4	2	no	—
707	Q₈×C₂₃	—	8	1	no	—
708	Q₈×C₂₃	—	8	1	no	—
709	D₄×C₂₃	—	2	2	no	—
710	D₄×C₂₃	—	2	2	no	—
711	D₄×C₂₃	—	2	1	no	—
712	D₄×C₂₃	—	2	1	no	—
713	D₄×C₂₃	—	2	1	no	—
714	D₄×C₂₃	—	2	1	no	—
715	D₄×C₂₃	—	2	1	no	—
716	D₄×C₂₃	—	2	1	no	—
717	D₄×C₂₃	—	4	1	no	—
718	D₄×C₂₃	—	4	1	no	—
719	D₄×C₂₃	—	4	2	no	—
720	D₄×C₂₃	—	4	2	no	—
721	D₄×C₂₃	—	4	2	no	—
722	D₄×C₂₃	—	4	2	no	—
723	D₄×C₂₃	—	4	2	no	—
724	D₄×C₂₃	—	4	2	no	—
725	D₄×C₂₃	—	4	2	no	—
726	D₄×C₂₃	—	8	1	no	—
727	D₄×C₂₃	—	8	1	no	—
728	D₄×C₂₃	—	8	1	no	—
729	D₄×C₂₃	—	8	1	no	—
730	D₄×C₂₃	—	8	1	no	—
731	D₄×C₂₃	—	8	1	no	—
732	D₄×C₂₃	—	8	1	no	—
733	C₂×C₄×C₂₃	—	2	1	no	—
734	C₂×C₄×C₂₃	—	2	1	no	—
735	C₂×C₄×C₂₃	—	2	1	no	—
736	C₂×C₄×C₂₃	—	2	1	no	—
737	C₂×C₄×C₂₃	—	2	1	no	—
738	C₂×C₄×C₂₃	—	2	1	no	—
739	C₂×C₄×C₂₃	—	2	1	no	—
740	C₂×C₄×C₂₃	—	2	1	no	—
741	C₂×C₄×C₂₃	—	2	1	no	—
742	C₂×C₄×C₂₃	—	2	1	no	—
743	C₂×C₄×C₂₃	—	2	1	no	—
744	C₂×C₄×C₂₃	—	2	1	no	—
745	C₂×C₄×C₂₃	—	2	1	no	—
746	C₂×C₄×C₂₃	—	2	1	no	—
747	C₂×C₄×C₂₃	—	2	1	no	—
748	C₂×C₄×C₂₃	—	2	1	no	—
749	C₂×C₄×C₂₃	—	2	1	no	—
750	C₂×C₄×C₂₃	—	2	1	no	—
751	C₂×C₄×C₂₃	—	2	1	no	—
752	C₂×C₄×C₂₃	—	2	1	no	—
753	C₂×C₄×C₂₃	—	2	1	no	—
754	C₂×C₄×C₂₃	—	2	1	no	—
755	C₂×C₄×C₂₃	—	2	1	no	—
756	C₂×C₄×C₂₃	—	4	1	no	—
757	C₂×C₄×C₂₃	—	4	1	no	—
758	C₂×C₄×C₂₃	—	4	1	no	—
759	C₂×C₄×C₂₃	—	4	1	no	—
760	C₂×C₄×C₂₃	—	4	1	no	—
761	C₂×C₄×C₂₃	—	4	1	no	—
762	C₂×C₄×C₂₃	—	4	1	no	—
763	C₂×C₄×C₂₃	—	4	1	no	—
764	C₂×C₄×C₂₃	—	4	2	no	—
765	C₂×C₄×C₂₃	—	4	2	no	—
766	C₂×C₄×C₂₃	—	4	2	no	—
767	C₂×C₄×C₂₃	—	4	2	no	—
768	C₂×C₄×C₂₃	—	4	2	no	—
769	C₂×C₄×C₂₃	—	8	1	no	—
770	C₂×C₄×C₂₃	—	8	1	no	—
771	C₂×C₄×C₂₃	—	8	1	no	—
772	C₂×C₄×C₂₃	—	8	1	no	—
773	C₂×C₄×C₂₃	—	8	1	no	—
774	C₂×C₄×C₂₃	—	8	1	no	—
775	C₂×C₄×C₂₃	—	8	1	no	—
776	C₂×C₄×C₂₃	—	8	1	no	—
777	C₂×C₄×C₂₃	—	8	1	no	—
778	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
788	C₈×C₂₃	—	2	1	no	—
789	C₈×C₂₃	—	2	1	no	—
790	C₈×C₂₃	—	2	1	no	—
791	C₈×C₂₃	—	2	1	no	—
792	C₈×C₂₃	—	2	1	no	—
793	C₈×C₂₃	—	2	1	no	—
794	C₈×C₂₃	—	2	1	no	—
795	C₈×C₂₃	—	2	1	no	—
796	#3505	C₂×C₂₃	1	1	yes	characteristic, complemented
797	#3475	C₂×C₂₃	1	1	yes	characteristic, complemented
798	#3355	C₂×C₂₃	1	1	yes	characteristic, complemented
799	#3351	C₂×C₂₃	1	1	yes	characteristic, complemented
800	#3350	C₂×C₂₃	1	1	yes	characteristic, complemented
801	#3347	C₂×C₂₃	1	1	yes	characteristic, complemented
802	#3344	C₂×C₂₃	1	1	yes	characteristic, complemented
803	#3343	C₂×C₂₃	1	1	yes	characteristic, complemented
804	#3337	C₂×C₂₃	1	1	yes	characteristic, complemented
805	#3336	C₂×C₂₃	1	1	yes	characteristic, complemented
806	#3327	C₂×C₂₃	1	1	yes	characteristic, complemented
807	#3326	C₂×C₂₃	1	1	yes	characteristic, complemented
808	#3321	C₂×C₂₃	1	1	yes	characteristic, complemented
809	#3314	C₂×C₂₃	1	1	yes	characteristic, complemented
810	#3313	C₂×C₂₃	1	1	yes	characteristic, complemented
811	#3306	C₂×C₂₃	1	1	yes	characteristic, complemented
812	#3297	C₂×C₂₃	1	1	yes	characteristic, complemented
813	#3296	C₂×C₂₃	1	1	yes	characteristic, complemented
814	#3240	C₂×C₂₃	1	1	yes	characteristic, complemented
815	#3233	C₂×C₂₃	1	1	yes	characteristic, complemented
816	#3197	C₂×C₂₃	1	1	yes	characteristic, complemented
817	#3194	C₂×C₂₃	1	1	yes	characteristic, complemented
818	#3191	C₂×C₂₃	1	1	yes	characteristic, complemented
819	#3190	C₂×C₂₃	1	1	yes	characteristic, complemented
820	#3111	C₂×C₂₃	1	1	yes	characteristic, complemented
821	#3102	C₂×C₂₃	1	1	yes	characteristic, complemented
822	#3095	C₂×C₂₃	1	1	yes	characteristic, complemented
823	#3093	C₂×C₂₃	1	1	yes	characteristic, complemented
824	#3091	C₂×C₂₃	1	1	yes	characteristic, complemented
825	C₂×#482	C₂×C₂₃	1	1	yes	characteristic, complemented
826	#2974	C₂×C₂₃	1	1	yes	characteristic, complemented
827	C₂²×C₂₃	—	2	1	no	—
828	C₂²×C₂₃	—	2	1	no	—
829	C₂²×C₂₃	—	2	1	no	—
830	C₂²×C₂₃	—	2	1	no	—
831	C₂²×C₂₃	—	2	1	no	—
832	C₂²×C₂₃	—	2	1	no	—
833	C₂²×C₂₃	—	2	1	no	—
834	C₂²×C₂₃	—	2	1	no	—
835	C₂²×C₂₃	—	2	1	no	—
836	C₂²×C₂₃	—	2	1	no	—
837	C₂²×C₂₃	—	2	1	no	—
838	C₂²×C₂₃	—	2	1	no	—
839	C₂²×C₂₃	—	2	1	no	—
840	C₂²×C₂₃	—	2	1	no	—
841	C₂²×C₂₃	—	4	1	no	—
842	C₂²×C₂₃	—	4	1	no	—
843	C₂²×C₂₃	—	4	1	no	—
844	C₂²×C₂₃	—	4	1	no	—
845	C₂²×C₂₃	—	4	1	no	—
846	C₂²×C₂₃	—	4	1	no	—
847	C₂²×C₂₃	—	4	1	no	—
848	C₂²×C₂₃	—	4	1	no	—
849	C₂²×C₂₃	—	4	1	no	—
850	C₂²×C₂₃	—	8	2	no	—
851	C₂²×C₂₃	—	8	2	no	—
852	C₂²×C₂₃	—	16	2	no	—
853	C₂²×C₂₃	#575	1	2	yes	—
854	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
855	C₄×C₂₃	—	2	1	no	—
856	C₄×C₂₃	—	2	1	no	—
857	C₄×C₂₃	—	2	1	no	—
858	C₄×C₂₃	—	2	1	no	—
859	C₄×C₂₃	—	2	1	no	—
860	C₄×C₂₃	—	2	1	no	—
861	C₄×C₂₃	—	2	1	no	—
862	C₄×C₂₃	—	2	1	no	—
863	C₄×C₂₃	—	2	1	no	—
864	C₄×C₂₃	—	4	1	no	—
865	C₄×C₂₃	—	4	1	no	—
866	C₄×C₂₃	—	4	1	no	—
867	C₄×C₂₃	—	4	1	no	—
868	C₄×C₂₃	—	4	1	no	—
869	C₄×C₂₃	—	4	1	no	—
870	C₄×C₂₃	—	4	1	no	—
871	C₄×C₂₃	—	4	1	no	—
872	C₄×C₂₃	—	4	1	no	—
873	C₄×C₂₃	—	4	1	no	—
874	C₄×C₂₃	—	4	1	no	—
875	C₄×C₂₃	—	4	1	no	—
876	C₄×C₂₃	—	4	1	no	—
877	C₄×C₂₃	#585	1	1	yes	characteristic
878	C₄×C₂₃	#585	1	1	yes	characteristic
879	#556	C₂²×C₂₃	1	1	yes	characteristic, complemented
880	#555	C₂²×C₂₃	1	1	yes	characteristic, complemented
881	#554	C₂²×C₂₃	1	1	yes	characteristic
882	#553	—	2	1	no	—
883	#553	—	2	1	no	—
884	#553	C₂²×C₂₃	1	1	yes	characteristic
885	#553	C₂²×C₂₃	1	1	yes	characteristic
886	#553	C₂²×C₂₃	1	1	yes	characteristic
887	#553	C₂²×C₂₃	1	1	yes	characteristic, complemented
888	#552	—	2	1	no	—
889	#552	C₂²×C₂₃	1	1	yes	characteristic
890	#552	C₂²×C₂₃	1	1	yes	characteristic
891	#552	C₂²×C₂₃	1	1	yes	characteristic
892	#552	C₂²×C₂₃	1	1	yes	characteristic, complemented
893	#551	—	2	1	no	—
894	#551	—	2	1	no	—
895	#551	—	2	1	no	—
896	#551	—	2	1	no	—
897	#548	C₂²×C₂₃	1	1	yes	characteristic
898	#548	C₂²×C₂₃	1	1	yes	characteristic
899	#547	C₂²×C₂₃	1	1	yes	characteristic
900	#546	—	2	1	no	—
901	#546	C₂²×C₂₃	1	1	yes	characteristic
902	#546	C₂²×C₂₃	1	1	yes	characteristic
903	#539	—	2	1	no	—
904	#538	—	2	1	no	—
905	#534	—	2	1	no	—
906	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
907	#529	—	2	1	no	—
908	#529	—	2	1	no	—
909	#529	—	2	1	no	—
910	#529	C₂²×C₂₃	1	1	yes	characteristic
911	#529	C₂²×C₂₃	1	1	yes	characteristic
912	#525	C₂²×C₂₃	1	1	yes	characteristic
913	#525	C₂²×C₂₃	1	1	yes	characteristic
914	#525	C₂²×C₂₃	1	1	yes	characteristic
915	#525	C₂²×C₂₃	1	1	yes	characteristic, complemented
916	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
917	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
918	#518	—	2	1	no	—
919	C₄×#41	—	2	1	no	—
920	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
922	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
923	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#499	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#499	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
929	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
930	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
931	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
932	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
933	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
934	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
935	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
936	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
937	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
938	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
939	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
941	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
946	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
947	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
948	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
950	#482	C₂²×C₂₃	1	1	yes	characteristic
951	#482	C₂²×C₂₃	1	1	yes	characteristic
952	#482	C₂²×C₂₃	1	1	yes	characteristic
953	#482	C₂²×C₂₃	1	1	yes	characteristic
954	#482	C₂²×C₂₃	1	1	yes	characteristic
955	#482	C₂²×C₂₃	1	1	yes	characteristic
956	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
957	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
958	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
966	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
967	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
968	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
970	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
974	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
975	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
976	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
977	#476	C₂²×C₂₃	1	1	yes	characteristic, complemented
978	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
979	#474	C₂²×C₂₃	1	1	yes	characteristic, complemented
980	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
984	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
986	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
992	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
994	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1000	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#449	C₂²×C₂₃	1	1	yes	characteristic
1007	#449	C₂²×C₂₃	1	1	yes	characteristic
1008	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	#435	C₂²×C₂₃	1	1	yes	characteristic
1023	#435	C₂²×C₂₃	1	1	yes	characteristic
1024	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
1027	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
1028	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	C₂×#107	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	C₂×#106	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1040	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1042	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1045	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	#407	C₂²×C₂₃	1	1	yes	characteristic
1047	#407	C₂²×C₂₃	1	1	yes	characteristic, complemented
1048	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	C₂×C₂₃	—	2	2	no	—
1051	C₂×C₂₃	—	4	1	no	—
1052	C₂×C₂₃	—	4	1	no	—
1053	C₂×C₂₃	—	4	1	no	—
1054	C₂×C₂₃	—	4	1	no	—
1055	C₂×C₂₃	—	8	1	no	—
1056	C₂×C₂₃	—	8	1	no	—
1057	C₂×C₂₃	—	8	1	no	—
1058	C₂×C₂₃	#3485	1	1	yes	characteristic
1059	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
1060	C₂×C₂₃	#3584	1	1	yes	characteristic
1061	C₂×#41	—	2	1	no	—
1062	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1066	C₂²×D₄	—	2	1	no	—
1067	C₂²×D₄	D₄×C₂₃	1	1	yes	characteristic
1068	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1069	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1079	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1080	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1081	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1082	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1083	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1084	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1085	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1088	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	C₂³×C₂₃	1	1	yes	characteristic
1107	#125	C₂³×C₂₃	1	1	yes	characteristic
1108	#125	C₂³×C₂₃	1	1	yes	characteristic
1109	#125	C₂³×C₂₃	1	1	yes	characteristic
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	C₂³×C₂₃	1	1	yes	characteristic
1116	#124	C₂³×C₂₃	1	1	yes	characteristic
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	C₂³×C₂₃	1	1	yes	characteristic
1166	#121	C₂³×C₂₃	1	1	yes	characteristic
1167	#121	C₂³×C₂₃	1	1	yes	characteristic
1168	#121	C₂³×C₂₃	1	1	yes	characteristic
1169	#121	C₂³×C₂₃	1	1	yes	characteristic
1170	#121	C₂³×C₂₃	1	1	yes	characteristic
1171	#121	C₂³×C₂₃	1	1	yes	characteristic
1172	#121	C₂³×C₂₃	1	1	yes	characteristic
1173	#121	C₂³×C₂₃	1	1	yes	characteristic
1174	#121	C₂³×C₂₃	1	1	yes	characteristic
1175	#120	—	2	1	no	—
1176	#120	—	2	1	no	—
1177	#120	—	2	1	no	—
1178	#120	—	2	1	no	—
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	—	2	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1208	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1209	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1210	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	C₂³×C₂₃	1	1	yes	characteristic
1232	#117	C₂³×C₂₃	1	1	yes	characteristic
1233	#117	C₂³×C₂₃	1	1	yes	characteristic
1234	#117	C₂³×C₂₃	1	1	yes	characteristic
1235	#117	C₂³×C₂₃	1	1	yes	characteristic
1236	#117	C₂³×C₂₃	1	1	yes	characteristic
1237	#117	C₂³×C₂₃	1	1	yes	characteristic
1238	#117	C₂³×C₂₃	1	1	yes	characteristic
1239	#117	C₂³×C₂₃	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1242	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1247	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	—	2	1	no	—
1249	C₂×C₂²⋊C₄	—	2	1	no	—
1250	C₂×C₂²⋊C₄	—	2	1	no	—
1251	C₂×C₂²⋊C₄	—	2	1	no	—
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1256	C₂×C₄²	—	2	1	no	—
1257	C₂×C₄²	—	2	1	no	—
1258	C₂×C₄²	—	2	1	no	—
1259	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1260	#107	C₂³×C₂₃	1	1	yes	characteristic
1261	#107	C₂³×C₂₃	1	1	yes	characteristic
1262	#107	C₂³×C₂₃	1	1	yes	characteristic
1263	#107	C₂³×C₂₃	1	1	yes	characteristic
1264	#107	C₂³×C₂₃	1	1	yes	characteristic
1265	#107	C₂³×C₂₃	1	1	yes	characteristic
1266	#107	C₂³×C₂₃	1	1	yes	characteristic
1267	#107	C₂³×C₂₃	1	1	yes	characteristic
1268	#107	C₂³×C₂₃	1	1	yes	characteristic
1269	#107	C₂³×C₂₃	1	1	yes	characteristic
1270	#107	C₂³×C₂₃	1	1	yes	characteristic
1271	#107	C₂³×C₂₃	1	1	yes	characteristic
1272	#106	C₂³×C₂₃	1	1	yes	characteristic
1273	#106	C₂³×C₂₃	1	1	yes	characteristic
1274	#106	C₂³×C₂₃	1	1	yes	characteristic
1275	#106	C₂³×C₂₃	1	1	yes	characteristic
1276	#106	C₂³×C₂₃	1	1	yes	characteristic
1277	#106	C₂³×C₂₃	1	1	yes	characteristic
1278	#106	C₂³×C₂₃	1	1	yes	characteristic
1279	#106	C₂³×C₂₃	1	1	yes	characteristic
1280	#106	C₂³×C₂₃	1	1	yes	characteristic
1281	#106	C₂³×C₂₃	1	1	yes	characteristic
1282	#106	C₂³×C₂₃	1	1	yes	characteristic
1283	#106	C₂³×C₂₃	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1287	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1288	#103	C₂³×C₂₃	1	1	yes	characteristic
1289	#103	C₂³×C₂₃	1	1	yes	characteristic
1290	#103	C₂³×C₂₃	1	1	yes	characteristic
1291	#103	C₂³×C₂₃	1	1	yes	characteristic
1292	#103	C₂³×C₂₃	1	1	yes	characteristic
1293	#103	C₂³×C₂₃	1	1	yes	characteristic
1294	#103	C₂³×C₂₃	1	1	yes	characteristic
1295	#103	C₂³×C₂₃	1	1	yes	characteristic
1296	#103	C₂³×C₂₃	1	1	yes	characteristic
1297	#103	C₂³×C₂₃	1	1	yes	characteristic
1298	#103	C₂³×C₂₃	1	1	yes	characteristic
1299	#103	C₂³×C₂₃	1	1	yes	characteristic
1300	#103	C₂³×C₂₃	1	1	yes	characteristic
1301	#103	C₂³×C₂₃	1	1	yes	characteristic
1302	#103	C₂³×C₂₃	1	1	yes	characteristic
1303	#103	C₂³×C₂₃	1	1	yes	characteristic
1304	#102	C₂³×C₂₃	1	1	yes	characteristic
1305	#102	C₂³×C₂₃	1	1	yes	characteristic
1306	#102	C₂³×C₂₃	1	1	yes	characteristic
1307	#102	C₂³×C₂₃	1	1	yes	characteristic
1308	#102	C₂³×C₂₃	1	1	yes	characteristic
1309	#102	C₂³×C₂₃	1	1	yes	characteristic
1310	#102	C₂³×C₂₃	1	1	yes	characteristic
1311	#102	C₂³×C₂₃	1	1	yes	characteristic
1312	#102	C₂³×C₂₃	1	1	yes	characteristic
1313	#102	C₂³×C₂₃	1	1	yes	characteristic
1314	#102	C₂³×C₂₃	1	1	yes	characteristic
1315	#102	C₂³×C₂₃	1	1	yes	characteristic
1316	#102	C₂³×C₂₃	1	1	yes	characteristic
1317	#102	C₂³×C₂₃	1	1	yes	characteristic
1318	#102	C₂³×C₂₃	1	1	yes	characteristic
1319	#102	C₂³×C₂₃	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1326	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1327	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1332	#97	C₂³×C₂₃	1	1	yes	characteristic
1333	#97	C₂³×C₂₃	1	1	yes	characteristic
1334	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1335	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1336	C₂₃	#61732	1	1	yes	characteristic, direct product factor, Sylow
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1339	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	4	1	no	—
1344	#41	—	4	1	no	—
1345	#41	—	4	1	no	—
1346	#41	—	4	4	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	4	1	no	—
1370	C₂×D₄	—	4	1	no	—
1371	C₂×D₄	—	4	2	no	—
1372	C₂×D₄	—	4	4	no	—
1373	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1374	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1375	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1376	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1377	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1378	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	4	1	no	—
1395	C₂²×C₄	—	4	1	no	—
1396	C₂²×C₄	—	4	1	no	—
1397	C₂²×C₄	—	4	1	no	—
1398	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1411	Q₁₆	—	4	1	no	—
1412	Q₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	M₁₆	—	4	1	no	—
1420	M₁₆	—	4	1	no	—
1421	M₁₆	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	C₂×C₈	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	—	4	1	no	—
1427	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1538	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1539	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1540	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1541	C₂³	—	2	2	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	4	1	no	—
1546	C₂³	—	4	1	no	—
1547	C₂³	—	4	1	no	—
1548	C₂³	—	4	1	no	—
1549	C₂³	—	4	1	no	—
1550	C₂³	—	4	2	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1554	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1555	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1556	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1557	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	4	2	no	—
1565	Q₈	—	8	1	no	—
1566	Q₈	—	8	1	no	—
1567	D₄	—	2	2	no	—
1568	D₄	—	2	2	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	4	1	no	—
1615	C₂×C₄	—	4	1	no	—
1616	C₂×C₄	—	4	1	no	—
1617	C₂×C₄	—	4	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	4	1	no	—
1621	C₂×C₄	—	4	1	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	4	2	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1643	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1644	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1645	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	8	2	no	—
1678	C₂²	—	8	2	no	—
1679	C₂²	—	16	2	no	—
1680	C₂²	C₂₃×#575	1	2	yes	—
1681	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	C₂₃×#585	1	1	yes	characteristic
1705	C₄	C₂₃×#585	1	1	yes	characteristic
1706	C₂	—	2	2	no	—
1707	C₂	—	4	1	no	—
1708	C₂	—	4	1	no	—
1709	C₂	—	4	1	no	—
1710	C₂	—	4	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	—	8	1	no	—
1713	C₂	—	8	1	no	—
1714	C₂	C₂₃×#3485	1	1	yes	characteristic
1715	C₂	C₂×C₂₃×#575	1	1	yes	characteristic
1716	C₂	C₂₃×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3505	C₂	semidirect
2. C₂₃×#3475	C₂	semidirect
3. C₂₃×#3355	C₂	semidirect
4. C₂₃×#3351	C₂	semidirect
5. C₂₃×#3350	C₂	semidirect
6. C₂₃×#3347	C₂	semidirect
7. C₂₃×#3344	C₂	semidirect
8. C₂₃×#3343	C₂	semidirect
9. C₂₃×#3337	C₂	semidirect
10. C₂₃×#3336	C₂	semidirect
11. C₂₃×#3327	C₂	semidirect
12. C₂₃×#3326	C₂	semidirect
13. C₂₃×#3321	C₂	semidirect
14. C₂₃×#3314	C₂	semidirect
15. C₂₃×#3313	C₂	semidirect
16. C₂₃×#3306	C₂	semidirect
17. C₂₃×#3297	C₂	semidirect
18. C₂₃×#3296	C₂	semidirect
19. C₂₃×#3240	C₂	semidirect
20. C₂₃×#3233	C₂	semidirect
21. C₂₃×#3197	C₂	semidirect
22. C₂₃×#3194	C₂	semidirect
23. C₂₃×#3191	C₂	semidirect
24. C₂₃×#3190	C₂	semidirect
25. C₂₃×#3111	C₂	semidirect
26. C₂₃×#3102	C₂	semidirect
27. C₂₃×#3095	C₂	semidirect
28. C₂₃×#3093	C₂	semidirect
29. C₂₃×#3091	C₂	semidirect
30. C₂×C₂₃×#482	C₂	semidirect
31. C₂₃×#2974	C₂	semidirect
32. C₂₃×#556	C₂²	semidirect
33. C₂₃×#555	C₂²	semidirect
40. C₂₃×#553	C₂²	semidirect
45. C₂₃×#552	C₂²	semidirect
59. C₂₃×#533	C₂²	semidirect
68. C₂₃×#525	C₂²	semidirect
73. C₄×#41×C₂₃	C₂²	semidirect
76. C₂×C₂₃×#117	C₂²	semidirect
77. C₂₃×#501	C₂²	semidirect
78. C₂₃×#501	C₂²	semidirect
79. C₂₃×#499	C₂²	semidirect
80. C₂₃×#499	C₂²	semidirect
81. C₂₃×#489	C₂²	semidirect
82. C₂₃×#489	C₂²	semidirect
83. C₂₃×#488	C₂²	semidirect
84. C₂₃×#488	C₂²	semidirect
85. C₂₃×#485	C₂²	semidirect
86. C₂₃×#485	C₂²	semidirect
87. C₂₃×#485	C₂²	semidirect
88. C₂₃×#485	C₂²	semidirect
89. C₂₃×#485	C₂²	semidirect
90. C₂₃×#485	C₂²	semidirect
91. C₂₃×#485	C₂²	semidirect
92. C₂₃×#485	C₂²	semidirect
93. C₂₃×#485	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#484	C₂²	semidirect
96. C₂₃×#484	C₂²	semidirect
97. C₂₃×#484	C₂²	semidirect
98. C₂₃×#483	C₂²	semidirect
99. C₂₃×#483	C₂²	semidirect
100. C₂₃×#483	C₂²	semidirect
101. C₂₃×#483	C₂²	semidirect
102. C₂₃×#483	C₂²	semidirect
109. C₂₃×#482	C₂²	semidirect
110. C₂₃×#482	C₂²	semidirect
111. C₂₃×#482	C₂²	semidirect
112. C₂₃×#482	C₂²	semidirect
113. C₂₃×#482	C₂²	semidirect
114. C₂₃×#482	C₂²	semidirect
115. C₂₃×#482	C₂²	semidirect
116. C₂₃×#482	C₂²	semidirect
117. C₂₃×#481	C₂²	semidirect
118. C₂₃×#480	C₂²	semidirect
119. C₂₃×#480	C₂²	semidirect
120. C₂₃×#480	C₂²	semidirect
121. C₂₃×#479	C₂²	semidirect
122. C₂₃×#479	C₂²	semidirect
123. C₂₃×#479	C₂²	semidirect
124. C₂₃×#479	C₂²	semidirect
125. C₂₃×#478	C₂²	semidirect
126. C₂₃×#478	C₂²	semidirect
127. C₂₃×#478	C₂²	semidirect
128. C₂₃×#478	C₂²	semidirect
129. C₂₃×#477	C₂²	semidirect
130. C₂₃×#476	C₂²	semidirect
131. C₂₃×#475	C₂²	semidirect
132. C₂₃×#474	C₂²	semidirect
133. C₂₃×#470	C₂²	semidirect
134. C₂₃×#469	C₂²	semidirect
135. C₂₃×#469	C₂²	semidirect
136. C₂₃×#469	C₂²	semidirect
137. C₂₃×#468	C₂²	semidirect
138. C₂₃×#468	C₂²	semidirect
139. C₂₃×#468	C₂²	semidirect
140. C₂₃×#468	C₂²	semidirect
141. C₂₃×#467	C₂²	semidirect
142. C₂₃×#467	C₂²	semidirect
143. C₂₃×#467	C₂²	semidirect
144. C₂₃×#466	C₂²	semidirect
145. C₂₃×#465	C₂²	semidirect
146. C₂₃×#465	C₂²	semidirect
147. C₂₃×#465	C₂²	semidirect
148. C₂₃×#465	C₂²	semidirect
149. C₂₃×#464	C₂²	semidirect
150. C₂₃×#464	C₂²	semidirect
151. C₂₃×#463	C₂²	semidirect
152. C₂₃×#463	C₂²	semidirect
153. C₂₃×#452	C₂²	semidirect
154. C₂₃×#452	C₂²	semidirect
155. C₂₃×#452	C₂²	semidirect
156. C₂₃×#452	C₂²	semidirect
157. C₂₃×#451	C₂²	semidirect
158. C₂₃×#450	C₂²	semidirect
161. C₂₃×#449	C₂²	semidirect
162. C₂₃×#449	C₂²	semidirect
163. C₂₃×#448	C₂²	semidirect
164. C₂₃×#447	C₂²	semidirect
165. C₂₃×#442	C₂²	semidirect
166. C₂₃×#441	C₂²	semidirect
167. C₂₃×#440	C₂²	semidirect
168. C₂₃×#440	C₂²	semidirect
169. C₄×Q₁₆×C₂₃	C₂²	semidirect
170. C₄×SD₁₆×C₂₃	C₂²	semidirect
171. C₄×SD₁₆×C₂₃	C₂²	semidirect
172. C₄×D₈×C₂₃	C₂²	semidirect
173. C₂₃×#436	C₂²	semidirect
174. C₂₃×#436	C₂²	semidirect
177. C₂₃×#435	C₂²	semidirect
178. C₂₃×#435	C₂²	semidirect
181. C₂₃×#432	C₂²	semidirect
182. C₂₃×#431	C₂²	semidirect
183. C₂₃×#428	C₂²	semidirect
184. C₂₃×#428	C₂²	semidirect
185. C₂₃×#428	C₂²	semidirect
186. C₂₃×#428	C₂²	semidirect
187. C₂₃×#427	C₂²	semidirect
188. C₂₃×#427	C₂²	semidirect
189. C₂×C₂₃×#107	C₂²	semidirect
190. C₂×C₂₃×#106	C₂²	semidirect
191. C₂₃×#419	C₂²	semidirect
192. C₂₃×#419	C₂²	semidirect
193. C₂₃×#417	C₂²	semidirect
194. C₂₃×#417	C₂²	semidirect
195. C₂₃×#416	C₂²	semidirect
196. C₂₃×#416	C₂²	semidirect
197. C₂×C₂₃×#102	C₂²	semidirect
198. C₂×C₂₃×#102	C₂²	semidirect
200. C₂₃×#407	C₂²	semidirect
202. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
682. #61732	C₂₃	direct (N × H)
796. #3505	C₂×C₂₃	semidirect
797. #3475	C₂×C₂₃	semidirect
798. #3355	C₂×C₂₃	semidirect
799. #3351	C₂×C₂₃	semidirect
800. #3350	C₂×C₂₃	semidirect
801. #3347	C₂×C₂₃	semidirect
802. #3344	C₂×C₂₃	semidirect
803. #3343	C₂×C₂₃	semidirect
804. #3337	C₂×C₂₃	semidirect
805. #3336	C₂×C₂₃	semidirect
806. #3327	C₂×C₂₃	semidirect
807. #3326	C₂×C₂₃	semidirect
808. #3321	C₂×C₂₃	semidirect
809. #3314	C₂×C₂₃	semidirect
810. #3313	C₂×C₂₃	semidirect
811. #3306	C₂×C₂₃	semidirect
812. #3297	C₂×C₂₃	semidirect
813. #3296	C₂×C₂₃	semidirect
814. #3240	C₂×C₂₃	semidirect
815. #3233	C₂×C₂₃	semidirect
816. #3197	C₂×C₂₃	semidirect
817. #3194	C₂×C₂₃	semidirect
818. #3191	C₂×C₂₃	semidirect
819. #3190	C₂×C₂₃	semidirect
820. #3111	C₂×C₂₃	semidirect
821. #3102	C₂×C₂₃	semidirect
822. #3095	C₂×C₂₃	semidirect
823. #3093	C₂×C₂₃	semidirect
824. #3091	C₂×C₂₃	semidirect
825. C₂×#482	C₂×C₂₃	semidirect
826. #2974	C₂×C₂₃	semidirect
879. #556	C₂²×C₂₃	semidirect
880. #555	C₂²×C₂₃	semidirect
887. #553	C₂²×C₂₃	semidirect
892. #552	C₂²×C₂₃	semidirect
906. #533	C₂²×C₂₃	semidirect
915. #525	C₂²×C₂₃	semidirect
920. C₄×#41	C₂²×C₂₃	semidirect
923. C₂×#117	C₂²×C₂₃	semidirect
924. #501	C₂²×C₂₃	semidirect
925. #501	C₂²×C₂₃	semidirect
926. #499	C₂²×C₂₃	semidirect
927. #499	C₂²×C₂₃	semidirect
928. #489	C₂²×C₂₃	semidirect
929. #489	C₂²×C₂₃	semidirect
930. #488	C₂²×C₂₃	semidirect
931. #488	C₂²×C₂₃	semidirect
932. #485	C₂²×C₂₃	semidirect
933. #485	C₂²×C₂₃	semidirect
934. #485	C₂²×C₂₃	semidirect
935. #485	C₂²×C₂₃	semidirect
936. #485	C₂²×C₂₃	semidirect
937. #485	C₂²×C₂₃	semidirect
938. #485	C₂²×C₂₃	semidirect
939. #485	C₂²×C₂₃	semidirect
940. #485	C₂²×C₂₃	semidirect
941. #485	C₂²×C₂₃	semidirect
942. #484	C₂²×C₂₃	semidirect
943. #484	C₂²×C₂₃	semidirect
944. #484	C₂²×C₂₃	semidirect
945. #483	C₂²×C₂₃	semidirect
946. #483	C₂²×C₂₃	semidirect
947. #483	C₂²×C₂₃	semidirect
948. #483	C₂²×C₂₃	semidirect
949. #483	C₂²×C₂₃	semidirect
956. #482	C₂²×C₂₃	semidirect
957. #482	C₂²×C₂₃	semidirect
958. #482	C₂²×C₂₃	semidirect
959. #482	C₂²×C₂₃	semidirect
960. #482	C₂²×C₂₃	semidirect
961. #482	C₂²×C₂₃	semidirect
962. #482	C₂²×C₂₃	semidirect
963. #482	C₂²×C₂₃	semidirect
964. #481	C₂²×C₂₃	semidirect
965. #480	C₂²×C₂₃	semidirect
966. #480	C₂²×C₂₃	semidirect
967. #480	C₂²×C₂₃	semidirect
968. #479	C₂²×C₂₃	semidirect
969. #479	C₂²×C₂₃	semidirect
970. #479	C₂²×C₂₃	semidirect
971. #479	C₂²×C₂₃	semidirect
972. #478	C₂²×C₂₃	semidirect
973. #478	C₂²×C₂₃	semidirect
974. #478	C₂²×C₂₃	semidirect
975. #478	C₂²×C₂₃	semidirect
976. #477	C₂²×C₂₃	semidirect
977. #476	C₂²×C₂₃	semidirect
978. #475	C₂²×C₂₃	semidirect
979. #474	C₂²×C₂₃	semidirect
980. #470	C₂²×C₂₃	semidirect
981. #469	C₂²×C₂₃	semidirect
982. #469	C₂²×C₂₃	semidirect
983. #469	C₂²×C₂₃	semidirect
984. #468	C₂²×C₂₃	semidirect
985. #468	C₂²×C₂₃	semidirect
986. #468	C₂²×C₂₃	semidirect
987. #468	C₂²×C₂₃	semidirect
988. #467	C₂²×C₂₃	semidirect
989. #467	C₂²×C₂₃	semidirect
990. #467	C₂²×C₂₃	semidirect
991. #466	C₂²×C₂₃	semidirect
992. #465	C₂²×C₂₃	semidirect
993. #465	C₂²×C₂₃	semidirect
994. #465	C₂²×C₂₃	semidirect
995. #465	C₂²×C₂₃	semidirect
996. #464	C₂²×C₂₃	semidirect
997. #464	C₂²×C₂₃	semidirect
998. #463	C₂²×C₂₃	semidirect
999. #463	C₂²×C₂₃	semidirect
1000. #452	C₂²×C₂₃	semidirect
1001. #452	C₂²×C₂₃	semidirect
1002. #452	C₂²×C₂₃	semidirect
1003. #452	C₂²×C₂₃	semidirect
1004. #451	C₂²×C₂₃	semidirect
1005. #450	C₂²×C₂₃	semidirect
1008. #449	C₂²×C₂₃	semidirect
1009. #449	C₂²×C₂₃	semidirect
1010. #448	C₂²×C₂₃	semidirect
1011. #447	C₂²×C₂₃	semidirect
1012. #442	C₂²×C₂₃	semidirect
1013. #441	C₂²×C₂₃	semidirect
1014. #440	C₂²×C₂₃	semidirect
1015. #440	C₂²×C₂₃	semidirect
1016. C₄×Q₁₆	C₂²×C₂₃	semidirect
1017. C₄×SD₁₆	C₂²×C₂₃	semidirect
1018. C₄×SD₁₆	C₂²×C₂₃	semidirect
1019. C₄×D₈	C₂²×C₂₃	semidirect
1020. #436	C₂²×C₂₃	semidirect
1021. #436	C₂²×C₂₃	semidirect
1024. #435	C₂²×C₂₃	semidirect
1025. #435	C₂²×C₂₃	semidirect
1028. #432	C₂²×C₂₃	semidirect
1029. #431	C₂²×C₂₃	semidirect
1030. #428	C₂²×C₂₃	semidirect
1031. #428	C₂²×C₂₃	semidirect
1032. #428	C₂²×C₂₃	semidirect
1033. #428	C₂²×C₂₃	semidirect
1034. #427	C₂²×C₂₃	semidirect
1035. #427	C₂²×C₂₃	semidirect
1036. C₂×#107	C₂²×C₂₃	semidirect
1037. C₂×#106	C₂²×C₂₃	semidirect
1038. #419	C₂²×C₂₃	semidirect
1039. #419	C₂²×C₂₃	semidirect
1040. #417	C₂²×C₂₃	semidirect
1041. #417	C₂²×C₂₃	semidirect
1042. #416	C₂²×C₂₃	semidirect
1043. #416	C₂²×C₂₃	semidirect
1044. C₂×#102	C₂²×C₂₃	semidirect
1045. C₂×#102	C₂²×C₂₃	semidirect
1047. #407	C₂²×C₂₃	semidirect
1049. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1336. C₂₃	#61732	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×#3505	2
C₂₃×#3475	2
C₂₃×#3355	2
C₂₃×#3351	2
C₂₃×#3350	2
C₂₃×#3347	2
C₂₃×#3344	2
C₂₃×#3343	2
C₂₃×#3337	2
C₂₃×#3336	2
C₂₃×#3327	2
C₂₃×#3326	2
C₂₃×#3321	2
C₂₃×#3314	2
C₂₃×#3313	2
C₂₃×#3306	2
C₂₃×#3297	2
C₂₃×#3296	2
C₂₃×#3240	2
C₂₃×#3233	2
C₂₃×#3197	2
C₂₃×#3194	2
C₂₃×#3191	2
C₂₃×#3190	2
C₂₃×#3111	2
C₂₃×#3102	2
C₂₃×#3095	2
C₂₃×#3093	2
C₂₃×#3091	2
C₂×C₂₃×#482	2
C₂₃×#2974	2
#61732	23

Subgroups — C23×#61732 #19209358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61732 #19209358