Subgroups — C₂₃×#61715 #19209341

Order 5888.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3345	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3197	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3196	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×#3116	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3111	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×#485	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2973	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₃×#556	C₂²	1	1	yes	characteristic
33	C₂₃×#556	C₂²	1	1	yes	characteristic
34	C₂₃×#555	C₂²	1	1	yes	characteristic
35	C₂₃×#554	—	2	1	no	—
36	C₂₃×#554	C₂²	1	1	yes	characteristic
37	C₂₃×#553	C₂²	1	1	yes	characteristic
38	C₂₃×#553	C₂²	1	1	yes	characteristic
39	C₂₃×#552	—	2	1	no	—
40	C₂₃×#552	C₂²	1	1	yes	characteristic
41	C₂₃×#552	C₂²	1	1	yes	characteristic
42	C₂₃×#552	C₂²	1	1	yes	characteristic
43	C₂₃×#552	C₂²	1	1	yes	characteristic
44	C₂₃×#551	—	2	1	no	—
45	C₂₃×#551	—	2	1	no	—
46	C₂₃×#551	—	2	1	no	—
47	C₂₃×#551	—	2	1	no	—
48	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
49	C₂₃×#548	C₂²	1	1	yes	characteristic
50	C₂₃×#548	C₂²	1	1	yes	characteristic
51	C₂₃×#547	C₂²	1	1	yes	characteristic
52	C₂₃×#547	C₂²	1	1	yes	characteristic
53	C₂₃×#547	C₂²	1	1	yes	characteristic
54	C₂₃×#546	—	2	1	no	—
55	C₂₃×#546	—	2	1	no	—
56	C₂₃×#542	—	2	1	no	—
57	C₂₃×#539	—	2	1	no	—
58	C₂₃×#539	—	2	1	no	—
59	C₂₃×#533	C₂²	1	1	yes	characteristic
60	C₂₃×#533	C₂²	1	1	yes	characteristic
61	C₂₃×#529	—	2	1	no	—
62	C₂₃×#529	—	2	1	no	—
63	C₂₃×#529	—	2	1	no	—
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
69	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
70	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₂₃×#520	—	2	1	no	—
72	C₄×#41×C₂₃	—	2	1	no	—
73	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
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
77	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#485	C₂²	1	1	yes	characteristic
86	C₂₃×#485	C₂²	1	1	yes	characteristic
87	C₂₃×#485	C₂²	1	1	yes	characteristic
88	C₂₃×#485	C₂²	1	1	yes	characteristic
89	C₂₃×#485	C₂²	1	1	yes	characteristic
90	C₂₃×#485	C₂²	1	1	yes	characteristic
91	C₂₃×#485	C₂²	1	1	yes	characteristic
92	C₂₃×#485	C₂²	1	1	yes	characteristic
93	C₂₃×#485	C₂²	1	1	yes	characteristic
94	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#482	C₂²	1	1	yes	characteristic
111	C₂₃×#482	C₂²	1	1	yes	characteristic
112	C₂₃×#482	C₂²	1	1	yes	characteristic
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×#481	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×#478	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×#477	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#477	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×#475	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#470	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×#463	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#462	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#452	C₂²	1	1	yes	characteristic
154	C₂₃×#452	C₂²	1	1	yes	characteristic
155	C₂₃×#452	C₂²	1	1	yes	characteristic
156	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
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×#448	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×#441	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#435	C₂²	1	1	yes	characteristic
174	C₂₃×#435	C₂²	1	1	yes	characteristic
175	C₂₃×#435	C₂²	1	1	yes	characteristic
176	C₂₃×#435	C₂²	1	1	yes	characteristic
177	C₂₃×#435	C₂²	1	1	yes	characteristic
178	C₂₃×#435	C₂²	1	1	yes	characteristic
179	C₂₃×#435	C₂²	1	1	yes	characteristic
180	C₂₃×#435	C₂²	1	1	yes	characteristic
181	C₂₃×#432	C₂²	1	1	yes	characteristic
182	C₂₃×#432	C₂²	1	1	yes	characteristic
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×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂₃×#407	C₂²	1	1	yes	characteristic
200	C₂₃×#407	C₂²	1	1	yes	characteristic
201	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₂×#41×C₂₃	—	2	1	no	—
204	C₂×#41×C₂₃	—	2	1	no	—
205	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
206	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
207	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₂₃	D₄	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×Q₁₆×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×SD₁₆×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	—	2	1	no	—
230	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#126	—	2	1	no	—
244	C₂₃×#126	—	2	1	no	—
245	C₂₃×#125	—	2	1	no	—
246	C₂₃×#125	—	2	1	no	—
247	C₂₃×#125	—	2	1	no	—
248	C₂₃×#125	—	2	1	no	—
249	C₂₃×#125	—	2	1	no	—
250	C₂₃×#125	—	2	1	no	—
251	C₂₃×#125	C₂³	1	1	yes	characteristic
252	C₂₃×#125	C₂³	1	1	yes	characteristic
253	C₂₃×#125	C₂³	1	1	yes	characteristic
254	C₂₃×#124	—	2	1	no	—
255	C₂₃×#124	—	2	1	no	—
256	C₂₃×#124	—	2	1	no	—
257	C₂₃×#124	—	2	1	no	—
258	C₂₃×#124	—	2	1	no	—
259	C₂₃×#124	—	2	1	no	—
260	C₂₃×#124	C₂³	1	1	yes	characteristic
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×#123	—	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	—	2	1	no	—
287	C₂₃×C₂²⋊Q₈	—	2	1	no	—
288	C₂₃×C₂²⋊Q₈	—	2	1	no	—
289	C₂₃×C₂²⋊Q₈	—	2	1	no	—
290	C₂₃×C₂²⋊Q₈	—	2	1	no	—
291	C₂₃×C₂²⋊Q₈	—	2	1	no	—
292	C₂₃×C₂²⋊Q₈	—	2	1	no	—
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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
297	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₂₃×#121	—	2	1	no	—
307	C₂₃×#121	—	2	1	no	—
308	C₂₃×#121	—	2	1	no	—
309	C₂₃×#121	—	2	1	no	—
310	C₂₃×#121	—	2	1	no	—
311	C₂₃×#121	—	2	1	no	—
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×#121	C₂³	1	1	yes	characteristic
318	C₂₃×#121	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
327	C₄×Q₈×C₂₃	—	2	1	no	—
328	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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	D₄	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	—	2	1	no	—
384	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
385	C₂×C₄⋊C₄×C₂₃	D₄	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×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
447	C₂₃×#103	C₂³	1	1	yes	characteristic
448	C₂₃×#103	C₂³	1	1	yes	characteristic
449	C₂₃×#103	C₂³	1	1	yes	characteristic
450	C₂₃×#103	C₂³	1	1	yes	characteristic
451	C₂₃×#103	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	C₂₃×#97	C₂³	1	1	yes	characteristic
477	C₂₃×#97	C₂³	1	1	yes	characteristic
478	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
479	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
480	#41×C₂₃	—	4	1	no	—
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	4	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	—	2	1	no	—
492	C₂×Q₈×C₂₃	—	2	1	no	—
493	C₂×Q₈×C₂₃	—	4	1	no	—
494	C₂×Q₈×C₂₃	—	4	1	no	—
495	C₂×Q₈×C₂₃	—	4	1	no	—
496	C₂×Q₈×C₂₃	—	4	1	no	—
497	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
511	C₂×D₄×C₂₃	—	4	2	no	—
512	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₂₃	—	2	1	no	—
519	C₂²×C₄×C₂₃	—	2	1	no	—
520	C₂²×C₄×C₂₃	—	2	1	no	—
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	—	4	1	no	—
533	C₂²×C₄×C₂₃	—	4	1	no	—
534	C₂²×C₄×C₂₃	—	4	1	no	—
535	C₂²×C₄×C₂₃	—	4	1	no	—
536	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
549	Q₁₆×C₂₃	—	4	1	no	—
550	Q₁₆×C₂₃	—	4	1	no	—
551	Q₁₆×C₂₃	—	4	1	no	—
552	SD₁₆×C₂₃	—	4	1	no	—
553	SD₁₆×C₂₃	—	4	1	no	—
554	SD₁₆×C₂₃	—	4	1	no	—
555	SD₁₆×C₂₃	—	4	1	no	—
556	D₈×C₂₃	—	4	1	no	—
557	M₁₆×C₂₃	—	4	1	no	—
558	M₁₆×C₂₃	—	4	1	no	—
559	M₁₆×C₂₃	—	4	1	no	—
560	M₁₆×C₂₃	—	4	1	no	—
561	C₂×C₈×C₂₃	—	4	1	no	—
562	C₂×C₈×C₂₃	—	4	1	no	—
563	C₂×C₈×C₂₃	—	4	1	no	—
564	C₂×C₈×C₂₃	—	4	1	no	—
565	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₂₃	—	2	1	no	—
574	C₄⋊C₄×C₂₃	—	2	1	no	—
575	C₄⋊C₄×C₂₃	—	2	1	no	—
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	—	2	1	no	—
607	C₄⋊C₄×C₂₃	—	2	1	no	—
608	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₂₃	C₂×D₄	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	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₂₃	—	2	1	no	—
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	#61715	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	—	4	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	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
696	Q₈×C₂₃	—	2	1	no	—
697	Q₈×C₂₃	—	2	1	no	—
698	Q₈×C₂₃	—	2	1	no	—
699	Q₈×C₂₃	—	2	1	no	—
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	—	4	2	no	—
705	Q₈×C₂₃	—	4	2	no	—
706	Q₈×C₂₃	—	8	1	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	—	4	1	no	—
716	D₄×C₂₃	—	4	1	no	—
717	D₄×C₂₃	—	4	2	no	—
718	D₄×C₂₃	—	4	2	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	—	8	1	no	—
724	D₄×C₂₃	—	8	1	no	—
725	D₄×C₂₃	—	8	1	no	—
726	D₄×C₂₃	—	8	1	no	—
727	C₂×C₄×C₂₃	—	2	1	no	—
728	C₂×C₄×C₂₃	—	2	1	no	—
729	C₂×C₄×C₂₃	—	2	1	no	—
730	C₂×C₄×C₂₃	—	2	1	no	—
731	C₂×C₄×C₂₃	—	2	1	no	—
732	C₂×C₄×C₂₃	—	2	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	—	4	1	no	—
752	C₂×C₄×C₂₃	—	4	1	no	—
753	C₂×C₄×C₂₃	—	4	1	no	—
754	C₂×C₄×C₂₃	—	4	1	no	—
755	C₂×C₄×C₂₃	—	4	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	2	no	—
760	C₂×C₄×C₂₃	—	4	2	no	—
761	C₂×C₄×C₂₃	—	4	2	no	—
762	C₂×C₄×C₂₃	—	4	2	no	—
763	C₂×C₄×C₂₃	—	4	2	no	—
764	C₂×C₄×C₂₃	—	4	2	no	—
765	C₂×C₄×C₂₃	—	4	2	no	—
766	C₂×C₄×C₂₃	—	8	1	no	—
767	C₂×C₄×C₂₃	—	8	1	no	—
768	C₂×C₄×C₂₃	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
783	C₈×C₂₃	—	2	1	no	—
784	C₈×C₂₃	—	2	1	no	—
785	C₈×C₂₃	—	2	1	no	—
786	C₈×C₂₃	—	2	1	no	—
787	C₈×C₂₃	—	2	1	no	—
788	C₈×C₂₃	—	2	1	no	—
789	C₈×C₂₃	—	2	1	no	—
790	C₈×C₂₃	—	2	1	no	—
791	#3520	C₂×C₂₃	1	1	yes	characteristic, complemented
792	#3475	C₂×C₂₃	1	1	yes	characteristic, complemented
793	#3350	C₂×C₂₃	1	1	yes	characteristic, complemented
794	#3349	C₂×C₂₃	1	1	yes	characteristic, complemented
795	#3349	C₂×C₂₃	1	1	yes	characteristic, complemented
796	#3348	C₂×C₂₃	1	1	yes	characteristic, complemented
797	#3345	C₂×C₂₃	1	1	yes	characteristic, complemented
798	#3344	C₂×C₂₃	1	1	yes	characteristic, complemented
799	#3343	C₂×C₂₃	1	1	yes	characteristic, complemented
800	#3343	C₂×C₂₃	1	1	yes	characteristic, complemented
801	#3321	C₂×C₂₃	1	1	yes	characteristic, complemented
802	#3320	C₂×C₂₃	1	1	yes	characteristic, complemented
803	#3316	C₂×C₂₃	1	1	yes	characteristic, complemented
804	#3315	C₂×C₂₃	1	1	yes	characteristic, complemented
805	#3313	C₂×C₂₃	1	1	yes	characteristic, complemented
806	#3312	C₂×C₂₃	1	1	yes	characteristic, complemented
807	#3308	C₂×C₂₃	1	1	yes	characteristic, complemented
808	#3307	C₂×C₂₃	1	1	yes	characteristic, complemented
809	#3240	C₂×C₂₃	1	1	yes	characteristic, complemented
810	#3237	C₂×C₂₃	1	1	yes	characteristic, complemented
811	#3197	C₂×C₂₃	1	1	yes	characteristic, complemented
812	#3196	C₂×C₂₃	1	1	yes	characteristic, complemented
813	#3191	C₂×C₂₃	1	1	yes	characteristic, complemented
814	#3190	C₂×C₂₃	1	1	yes	characteristic, complemented
815	#3116	C₂×C₂₃	1	1	yes	characteristic, complemented
816	#3111	C₂×C₂₃	1	1	yes	characteristic, complemented
817	#3095	C₂×C₂₃	1	1	yes	characteristic, complemented
818	#3093	C₂×C₂₃	1	1	yes	characteristic, complemented
819	#3091	C₂×C₂₃	1	1	yes	characteristic, complemented
820	C₂×#485	C₂×C₂₃	1	1	yes	characteristic, complemented
821	#2973	C₂×C₂₃	1	1	yes	characteristic, complemented
822	C₂²×C₂₃	—	2	1	no	—
823	C₂²×C₂₃	—	2	1	no	—
824	C₂²×C₂₃	—	2	1	no	—
825	C₂²×C₂₃	—	2	1	no	—
826	C₂²×C₂₃	—	2	1	no	—
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	—	4	1	no	—
837	C₂²×C₂₃	—	4	1	no	—
838	C₂²×C₂₃	—	4	1	no	—
839	C₂²×C₂₃	—	4	1	no	—
840	C₂²×C₂₃	—	4	1	no	—
841	C₂²×C₂₃	—	4	1	no	—
842	C₂²×C₂₃	—	8	2	no	—
843	C₂²×C₂₃	—	8	2	no	—
844	C₂²×C₂₃	#575	1	2	yes	—
845	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
846	C₄×C₂₃	—	2	1	no	—
847	C₄×C₂₃	—	2	1	no	—
848	C₄×C₂₃	—	2	1	no	—
849	C₄×C₂₃	—	2	1	no	—
850	C₄×C₂₃	—	2	1	no	—
851	C₄×C₂₃	—	2	1	no	—
852	C₄×C₂₃	—	2	1	no	—
853	C₄×C₂₃	—	2	1	no	—
854	C₄×C₂₃	—	2	1	no	—
855	C₄×C₂₃	—	4	1	no	—
856	C₄×C₂₃	—	4	1	no	—
857	C₄×C₂₃	—	4	1	no	—
858	C₄×C₂₃	—	4	1	no	—
859	C₄×C₂₃	—	4	1	no	—
860	C₄×C₂₃	—	4	1	no	—
861	C₄×C₂₃	—	4	1	no	—
862	C₄×C₂₃	—	4	1	no	—
863	C₄×C₂₃	—	4	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	#585	1	1	yes	characteristic
870	C₄×C₂₃	#585	1	1	yes	characteristic
871	#556	C₂²×C₂₃	1	1	yes	characteristic
872	#556	C₂²×C₂₃	1	1	yes	characteristic
873	#555	C₂²×C₂₃	1	1	yes	characteristic
874	#554	—	2	1	no	—
875	#554	C₂²×C₂₃	1	1	yes	characteristic
876	#553	C₂²×C₂₃	1	1	yes	characteristic
877	#553	C₂²×C₂₃	1	1	yes	characteristic
878	#552	—	2	1	no	—
879	#552	C₂²×C₂₃	1	1	yes	characteristic
880	#552	C₂²×C₂₃	1	1	yes	characteristic
881	#552	C₂²×C₂₃	1	1	yes	characteristic
882	#552	C₂²×C₂₃	1	1	yes	characteristic
883	#551	—	2	1	no	—
884	#551	—	2	1	no	—
885	#551	—	2	1	no	—
886	#551	—	2	1	no	—
887	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
888	#548	C₂²×C₂₃	1	1	yes	characteristic
889	#548	C₂²×C₂₃	1	1	yes	characteristic
890	#547	C₂²×C₂₃	1	1	yes	characteristic
891	#547	C₂²×C₂₃	1	1	yes	characteristic
892	#547	C₂²×C₂₃	1	1	yes	characteristic
893	#546	—	2	1	no	—
894	#546	—	2	1	no	—
895	#542	—	2	1	no	—
896	#539	—	2	1	no	—
897	#539	—	2	1	no	—
898	#533	C₂²×C₂₃	1	1	yes	characteristic
899	#533	C₂²×C₂₃	1	1	yes	characteristic
900	#529	—	2	1	no	—
901	#529	—	2	1	no	—
902	#529	—	2	1	no	—
903	#529	C₂²×C₂₃	1	1	yes	characteristic
904	#525	C₂²×C₂₃	1	1	yes	characteristic
905	#525	C₂²×C₂₃	1	1	yes	characteristic
906	#525	C₂²×C₂₃	1	1	yes	characteristic
907	#525	C₂²×C₂₃	1	1	yes	characteristic
908	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
909	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
910	#520	—	2	1	no	—
911	C₄×#41	—	2	1	no	—
912	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
913	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
914	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
915	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
916	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
918	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
919	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#485	C₂²×C₂₃	1	1	yes	characteristic
925	#485	C₂²×C₂₃	1	1	yes	characteristic
926	#485	C₂²×C₂₃	1	1	yes	characteristic
927	#485	C₂²×C₂₃	1	1	yes	characteristic
928	#485	C₂²×C₂₃	1	1	yes	characteristic
929	#485	C₂²×C₂₃	1	1	yes	characteristic
930	#485	C₂²×C₂₃	1	1	yes	characteristic
931	#485	C₂²×C₂₃	1	1	yes	characteristic
932	#485	C₂²×C₂₃	1	1	yes	characteristic
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	#484	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	#482	C₂²×C₂₃	1	1	yes	characteristic
950	#482	C₂²×C₂₃	1	1	yes	characteristic
951	#482	C₂²×C₂₃	1	1	yes	characteristic
952	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
953	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
954	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
955	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
956	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
957	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
958	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
966	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
967	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
968	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	#476	C₂²×C₂₃	1	1	yes	characteristic, complemented
970	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
974	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
975	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
976	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
977	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
978	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
979	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
980	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
984	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
986	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#462	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
992	#452	C₂²×C₂₃	1	1	yes	characteristic
993	#452	C₂²×C₂₃	1	1	yes	characteristic
994	#452	C₂²×C₂₃	1	1	yes	characteristic
995	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#449	C₂²×C₂₃	1	1	yes	characteristic
1000	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#435	C₂²×C₂₃	1	1	yes	characteristic
1013	#435	C₂²×C₂₃	1	1	yes	characteristic
1014	#435	C₂²×C₂₃	1	1	yes	characteristic
1015	#435	C₂²×C₂₃	1	1	yes	characteristic
1016	#435	C₂²×C₂₃	1	1	yes	characteristic
1017	#435	C₂²×C₂₃	1	1	yes	characteristic
1018	#435	C₂²×C₂₃	1	1	yes	characteristic
1019	#435	C₂²×C₂₃	1	1	yes	characteristic
1020	#432	C₂²×C₂₃	1	1	yes	characteristic
1021	#432	C₂²×C₂₃	1	1	yes	characteristic
1022	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1023	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	C₂×#107	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	C₂×#106	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#407	C₂²×C₂₃	1	1	yes	characteristic
1039	#407	C₂²×C₂₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1042	C₂×C₂₃	—	2	2	no	—
1043	C₂×C₂₃	—	4	1	no	—
1044	C₂×C₂₃	—	4	1	no	—
1045	C₂×C₂₃	—	4	1	no	—
1046	C₂×C₂₃	—	4	1	no	—
1047	C₂×C₂₃	—	8	1	no	—
1048	C₂×C₂₃	—	8	1	no	—
1049	C₂×C₂₃	#3485	1	1	yes	characteristic
1050	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
1051	C₂×C₂₃	#3586	1	1	yes	characteristic
1052	C₂×#41	—	2	1	no	—
1053	C₂×#41	—	2	1	no	—
1054	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1055	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1056	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1057	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1058	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1059	C₂²×D₄	D₄×C₂₃	1	1	yes	characteristic
1060	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1061	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1062	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1063	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1069	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1078	C₄⋊Q₈	—	2	1	no	—
1079	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
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	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	C₂³×C₂₃	1	1	yes	characteristic
1101	#125	C₂³×C₂₃	1	1	yes	characteristic
1102	#125	C₂³×C₂₃	1	1	yes	characteristic
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	C₂³×C₂₃	1	1	yes	characteristic
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	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	C₂³×C₂₃	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
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	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
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	C₂³×C₂₃	1	1	yes	characteristic
1162	#121	C₂³×C₂₃	1	1	yes	characteristic
1163	#121	C₂³×C₂₃	1	1	yes	characteristic
1164	#121	C₂³×C₂₃	1	1	yes	characteristic
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	#120	—	2	1	no	—
1169	#120	—	2	1	no	—
1170	#120	—	2	1	no	—
1171	#120	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
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	D₄×C₂₃	1	1	yes	characteristic
1200	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1201	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1202	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	C₂³×C₂₃	1	1	yes	characteristic
1223	#117	C₂³×C₂₃	1	1	yes	characteristic
1224	#117	C₂³×C₂₃	1	1	yes	characteristic
1225	#117	C₂³×C₂₃	1	1	yes	characteristic
1226	#117	C₂³×C₂₃	1	1	yes	characteristic
1227	#117	C₂³×C₂₃	1	1	yes	characteristic
1228	#117	C₂³×C₂₃	1	1	yes	characteristic
1229	#117	C₂³×C₂₃	1	1	yes	characteristic
1230	#117	C₂³×C₂₃	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	—	2	1	no	—
1232	C₂×C₄⋊C₄	—	2	1	no	—
1233	C₂×C₄⋊C₄	—	2	1	no	—
1234	C₂×C₄⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1235	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1236	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1237	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1239	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1241	C₂×C₂²⋊C₄	—	2	1	no	—
1242	C₂×C₂²⋊C₄	—	2	1	no	—
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₂²⋊C₄	—	2	1	no	—
1245	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1247	C₂×C₄²	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1251	#107	C₂³×C₂₃	1	1	yes	characteristic
1252	#107	C₂³×C₂₃	1	1	yes	characteristic
1253	#107	C₂³×C₂₃	1	1	yes	characteristic
1254	#107	C₂³×C₂₃	1	1	yes	characteristic
1255	#107	C₂³×C₂₃	1	1	yes	characteristic
1256	#107	C₂³×C₂₃	1	1	yes	characteristic
1257	#107	C₂³×C₂₃	1	1	yes	characteristic
1258	#107	C₂³×C₂₃	1	1	yes	characteristic
1259	#107	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	#106	C₂³×C₂₃	1	1	yes	characteristic
1264	#106	C₂³×C₂₃	1	1	yes	characteristic
1265	#106	C₂³×C₂₃	1	1	yes	characteristic
1266	#106	C₂³×C₂₃	1	1	yes	characteristic
1267	#106	C₂³×C₂₃	1	1	yes	characteristic
1268	#106	C₂³×C₂₃	1	1	yes	characteristic
1269	#106	C₂³×C₂₃	1	1	yes	characteristic
1270	#106	C₂³×C₂₃	1	1	yes	characteristic
1271	#106	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	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1279	#103	C₂³×C₂₃	1	1	yes	characteristic
1280	#103	C₂³×C₂₃	1	1	yes	characteristic
1281	#103	C₂³×C₂₃	1	1	yes	characteristic
1282	#103	C₂³×C₂₃	1	1	yes	characteristic
1283	#103	C₂³×C₂₃	1	1	yes	characteristic
1284	#103	C₂³×C₂₃	1	1	yes	characteristic
1285	#103	C₂³×C₂₃	1	1	yes	characteristic
1286	#103	C₂³×C₂₃	1	1	yes	characteristic
1287	#103	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	#102	C₂³×C₂₃	1	1	yes	characteristic
1302	#102	C₂³×C₂₃	1	1	yes	characteristic
1303	#102	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	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1319	C₂²⋊C₈	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	#97	C₂³×C₂₃	1	1	yes	characteristic
1324	#97	C₂³×C₂₃	1	1	yes	characteristic
1325	#97	C₂³×C₂₃	1	1	yes	characteristic
1326	#97	C₂³×C₂₃	1	1	yes	characteristic
1327	C₂₃	#61715	1	1	yes	characteristic, direct product factor, Sylow
1328	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1329	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	4	1	no	—
1334	#41	—	4	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	4	4	no	—
1337	#41	—	4	4	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	2	1	no	—
1341	C₂×Q₈	—	2	1	no	—
1342	C₂×Q₈	—	2	1	no	—
1343	C₂×Q₈	—	4	1	no	—
1344	C₂×Q₈	—	4	1	no	—
1345	C₂×Q₈	—	4	1	no	—
1346	C₂×Q₈	—	4	1	no	—
1347	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1348	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1349	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1350	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
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	—	4	2	no	—
1362	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1363	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1364	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1365	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	—	4	1	no	—
1384	C₂²×C₄	—	4	1	no	—
1385	C₂²×C₄	—	4	1	no	—
1386	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1392	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1393	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1394	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1395	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1399	Q₁₆	—	4	1	no	—
1400	Q₁₆	—	4	1	no	—
1401	Q₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	M₁₆	—	4	1	no	—
1408	M₁₆	—	4	1	no	—
1409	M₁₆	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	—	4	1	no	—
1415	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₂₃	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₂₃	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1529	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1530	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1531	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1532	C₂³	—	2	2	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	4	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	—	4	1	no	—
1538	C₂³	—	4	1	no	—
1539	C₂³	—	4	1	no	—
1540	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1541	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1542	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1543	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1544	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	4	2	no	—
1554	Q₈	—	4	2	no	—
1555	Q₈	—	8	1	no	—
1556	Q₈	—	8	1	no	—
1557	Q₈	—	8	1	no	—
1558	D₄	—	2	2	no	—
1559	D₄	—	2	2	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	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	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	4	1	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1629	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1630	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1631	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	8	2	no	—
1661	C₂²	—	8	2	no	—
1662	C₂²	C₂₃×#575	1	2	yes	—
1663	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	C₂₃×#585	1	1	yes	characteristic
1688	C₄	C₂₃×#585	1	1	yes	characteristic
1689	C₂	—	2	2	no	—
1690	C₂	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	4	1	no	—
1694	C₂	—	8	1	no	—
1695	C₂	—	8	1	no	—
1696	C₂	C₂₃×#3485	1	1	yes	characteristic
1697	C₂	C₂×C₂₃×#575	1	1	yes	characteristic
1698	C₂	C₂₃×#3586	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×#3520	C₂	semidirect
2. C₂₃×#3475	C₂	semidirect
3. C₂₃×#3350	C₂	semidirect
4. C₂₃×#3349	C₂	semidirect
5. C₂₃×#3349	C₂	semidirect
6. C₂₃×#3348	C₂	semidirect
7. C₂₃×#3345	C₂	semidirect
8. C₂₃×#3344	C₂	semidirect
9. C₂₃×#3343	C₂	semidirect
10. C₂₃×#3343	C₂	semidirect
11. C₂₃×#3321	C₂	semidirect
12. C₂₃×#3320	C₂	semidirect
13. C₂₃×#3316	C₂	semidirect
14. C₂₃×#3315	C₂	semidirect
15. C₂₃×#3313	C₂	semidirect
16. C₂₃×#3312	C₂	semidirect
17. C₂₃×#3308	C₂	semidirect
18. C₂₃×#3307	C₂	semidirect
19. C₂₃×#3240	C₂	semidirect
20. C₂₃×#3237	C₂	semidirect
21. C₂₃×#3197	C₂	semidirect
22. C₂₃×#3196	C₂	semidirect
23. C₂₃×#3191	C₂	semidirect
24. C₂₃×#3190	C₂	semidirect
25. C₂₃×#3116	C₂	semidirect
26. C₂₃×#3111	C₂	semidirect
27. C₂₃×#3095	C₂	semidirect
28. C₂₃×#3093	C₂	semidirect
29. C₂₃×#3091	C₂	semidirect
30. C₂×C₂₃×#485	C₂	semidirect
31. C₂₃×#2973	C₂	semidirect
77. C₂₃×#501	C₂²	semidirect
78. C₂₃×#501	C₂²	semidirect
79. C₂₃×#501	C₂²	semidirect
80. C₂₃×#501	C₂²	semidirect
81. C₂₃×#491	C₂²	semidirect
82. C₂₃×#491	C₂²	semidirect
83. C₂₃×#489	C₂²	semidirect
84. C₂₃×#489	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#485	C₂²	semidirect
96. C₂₃×#485	C₂²	semidirect
97. C₂₃×#485	C₂²	semidirect
98. C₂₃×#485	C₂²	semidirect
99. C₂₃×#485	C₂²	semidirect
100. C₂₃×#485	C₂²	semidirect
101. C₂₃×#485	C₂²	semidirect
102. C₂₃×#484	C₂²	semidirect
103. C₂₃×#484	C₂²	semidirect
104. C₂₃×#484	C₂²	semidirect
105. C₂₃×#484	C₂²	semidirect
106. C₂₃×#483	C₂²	semidirect
107. C₂₃×#483	C₂²	semidirect
108. C₂₃×#483	C₂²	semidirect
109. C₂₃×#483	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×#481	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×#478	C₂²	semidirect
125. C₂₃×#478	C₂²	semidirect
126. C₂₃×#478	C₂²	semidirect
127. C₂₃×#477	C₂²	semidirect
128. C₂₃×#477	C₂²	semidirect
129. C₂₃×#477	C₂²	semidirect
130. C₂₃×#476	C₂²	semidirect
131. C₂₃×#475	C₂²	semidirect
132. C₂₃×#475	C₂²	semidirect
133. C₂₃×#470	C₂²	semidirect
134. C₂₃×#470	C₂²	semidirect
135. C₂₃×#470	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×#463	C₂²	semidirect
151. C₂₃×#462	C₂²	semidirect
152. C₂₃×#461	C₂²	semidirect
156. C₂₃×#452	C₂²	semidirect
157. C₂₃×#452	C₂²	semidirect
158. C₂₃×#451	C₂²	semidirect
159. C₂₃×#451	C₂²	semidirect
161. C₂₃×#449	C₂²	semidirect
162. C₂₃×#449	C₂²	semidirect
163. C₂₃×#448	C₂²	semidirect
164. C₂₃×#448	C₂²	semidirect
165. C₂₃×#442	C₂²	semidirect
166. C₂₃×#441	C₂²	semidirect
167. C₂₃×#441	C₂²	semidirect
168. C₂₃×#441	C₂²	semidirect
169. C₂₃×#440	C₂²	semidirect
170. C₂₃×#440	C₂²	semidirect
171. C₂₃×#440	C₂²	semidirect
172. C₂₃×#440	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×#103	C₂²	semidirect
198. C₂×C₂₃×#103	C₂²	semidirect
682. #61715	C₂₃	direct (N × H)
791. #3520	C₂×C₂₃	semidirect
792. #3475	C₂×C₂₃	semidirect
793. #3350	C₂×C₂₃	semidirect
794. #3349	C₂×C₂₃	semidirect
795. #3349	C₂×C₂₃	semidirect
796. #3348	C₂×C₂₃	semidirect
797. #3345	C₂×C₂₃	semidirect
798. #3344	C₂×C₂₃	semidirect
799. #3343	C₂×C₂₃	semidirect
800. #3343	C₂×C₂₃	semidirect
801. #3321	C₂×C₂₃	semidirect
802. #3320	C₂×C₂₃	semidirect
803. #3316	C₂×C₂₃	semidirect
804. #3315	C₂×C₂₃	semidirect
805. #3313	C₂×C₂₃	semidirect
806. #3312	C₂×C₂₃	semidirect
807. #3308	C₂×C₂₃	semidirect
808. #3307	C₂×C₂₃	semidirect
809. #3240	C₂×C₂₃	semidirect
810. #3237	C₂×C₂₃	semidirect
811. #3197	C₂×C₂₃	semidirect
812. #3196	C₂×C₂₃	semidirect
813. #3191	C₂×C₂₃	semidirect
814. #3190	C₂×C₂₃	semidirect
815. #3116	C₂×C₂₃	semidirect
816. #3111	C₂×C₂₃	semidirect
817. #3095	C₂×C₂₃	semidirect
818. #3093	C₂×C₂₃	semidirect
819. #3091	C₂×C₂₃	semidirect
820. C₂×#485	C₂×C₂₃	semidirect
821. #2973	C₂×C₂₃	semidirect
916. #501	C₂²×C₂₃	semidirect
917. #501	C₂²×C₂₃	semidirect
918. #501	C₂²×C₂₃	semidirect
919. #501	C₂²×C₂₃	semidirect
920. #491	C₂²×C₂₃	semidirect
921. #491	C₂²×C₂₃	semidirect
922. #489	C₂²×C₂₃	semidirect
923. #489	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. #484	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
952. #482	C₂²×C₂₃	semidirect
953. #482	C₂²×C₂₃	semidirect
954. #482	C₂²×C₂₃	semidirect
955. #482	C₂²×C₂₃	semidirect
956. #481	C₂²×C₂₃	semidirect
957. #481	C₂²×C₂₃	semidirect
958. #480	C₂²×C₂₃	semidirect
959. #480	C₂²×C₂₃	semidirect
960. #479	C₂²×C₂₃	semidirect
961. #479	C₂²×C₂₃	semidirect
962. #479	C₂²×C₂₃	semidirect
963. #478	C₂²×C₂₃	semidirect
964. #478	C₂²×C₂₃	semidirect
965. #478	C₂²×C₂₃	semidirect
966. #477	C₂²×C₂₃	semidirect
967. #477	C₂²×C₂₃	semidirect
968. #477	C₂²×C₂₃	semidirect
969. #476	C₂²×C₂₃	semidirect
970. #475	C₂²×C₂₃	semidirect
971. #475	C₂²×C₂₃	semidirect
972. #470	C₂²×C₂₃	semidirect
973. #470	C₂²×C₂₃	semidirect
974. #470	C₂²×C₂₃	semidirect
975. #469	C₂²×C₂₃	semidirect
976. #468	C₂²×C₂₃	semidirect
977. #468	C₂²×C₂₃	semidirect
978. #468	C₂²×C₂₃	semidirect
979. #468	C₂²×C₂₃	semidirect
980. #467	C₂²×C₂₃	semidirect
981. #467	C₂²×C₂₃	semidirect
982. #467	C₂²×C₂₃	semidirect
983. #466	C₂²×C₂₃	semidirect
984. #465	C₂²×C₂₃	semidirect
985. #465	C₂²×C₂₃	semidirect
986. #465	C₂²×C₂₃	semidirect
987. #465	C₂²×C₂₃	semidirect
988. #464	C₂²×C₂₃	semidirect
989. #463	C₂²×C₂₃	semidirect
990. #462	C₂²×C₂₃	semidirect
991. #461	C₂²×C₂₃	semidirect
995. #452	C₂²×C₂₃	semidirect
996. #452	C₂²×C₂₃	semidirect
997. #451	C₂²×C₂₃	semidirect
998. #451	C₂²×C₂₃	semidirect
1000. #449	C₂²×C₂₃	semidirect
1001. #449	C₂²×C₂₃	semidirect
1002. #448	C₂²×C₂₃	semidirect
1003. #448	C₂²×C₂₃	semidirect
1004. #442	C₂²×C₂₃	semidirect
1005. #441	C₂²×C₂₃	semidirect
1006. #441	C₂²×C₂₃	semidirect
1007. #441	C₂²×C₂₃	semidirect
1008. #440	C₂²×C₂₃	semidirect
1009. #440	C₂²×C₂₃	semidirect
1010. #440	C₂²×C₂₃	semidirect
1011. #440	C₂²×C₂₃	semidirect
1022. #428	C₂²×C₂₃	semidirect
1023. #428	C₂²×C₂₃	semidirect
1024. #428	C₂²×C₂₃	semidirect
1025. #428	C₂²×C₂₃	semidirect
1026. #427	C₂²×C₂₃	semidirect
1027. #427	C₂²×C₂₃	semidirect
1028. C₂×#107	C₂²×C₂₃	semidirect
1029. C₂×#106	C₂²×C₂₃	semidirect
1030. #419	C₂²×C₂₃	semidirect
1031. #419	C₂²×C₂₃	semidirect
1032. #417	C₂²×C₂₃	semidirect
1033. #417	C₂²×C₂₃	semidirect
1034. #416	C₂²×C₂₃	semidirect
1035. #416	C₂²×C₂₃	semidirect
1036. C₂×#103	C₂²×C₂₃	semidirect
1037. C₂×#103	C₂²×C₂₃	semidirect
1327. C₂₃	#61715	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×#3520	2
C₂₃×#3475	2
C₂₃×#3350	2
C₂₃×#3349	2
C₂₃×#3348	2
C₂₃×#3345	2
C₂₃×#3344	2
C₂₃×#3343	2
C₂₃×#3321	2
C₂₃×#3320	2
C₂₃×#3316	2
C₂₃×#3315	2
C₂₃×#3313	2
C₂₃×#3312	2
C₂₃×#3308	2
C₂₃×#3307	2
C₂₃×#3240	2
C₂₃×#3237	2
C₂₃×#3197	2
C₂₃×#3196	2
C₂₃×#3191	2
C₂₃×#3190	2
C₂₃×#3116	2
C₂₃×#3111	2
C₂₃×#3095	2
C₂₃×#3093	2
C₂₃×#3091	2
C₂×C₂₃×#485	2
C₂₃×#2973	2
#61715	23

Subgroups — C23×#61715 #19209341

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61715 #19209341