Subgroups — C₂₃×#61141 #19208767

Order 5888.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#41×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×C₂₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₃×#2896	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
34	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic
35	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂²×M₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
39	C₂₃×#556	C₂²	1	1	yes	characteristic, complemented
40	C₂₃×#555	C₂²	1	1	yes	characteristic, complemented
41	C₂₃×#554	C₂²	1	1	yes	characteristic, complemented
42	C₂₃×#553	C₂²	1	1	yes	characteristic
43	C₂₃×#553	C₂²	1	1	yes	characteristic, complemented
44	C₂₃×#552	—	2	1	no	—
45	C₂₃×#552	C₂²	1	1	yes	characteristic
46	C₂₃×#552	C₂²	1	1	yes	characteristic, complemented
47	C₂₃×#551	—	2	1	no	—
48	C₂₃×#551	—	2	1	no	—
49	C₂₃×#550	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
51	C₂₃×#548	C₂²	1	1	yes	characteristic
52	C₂₃×#548	C₂²	1	1	yes	characteristic
53	C₂₃×#547	—	2	1	no	—
54	C₂₃×#547	C₂²	1	1	yes	characteristic
55	C₂₃×#547	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#546	—	2	1	no	—
57	C₂₃×#546	—	2	1	no	—
58	C₂₃×#546	—	2	1	no	—
59	C₂₃×#546	C₂²	1	1	yes	characteristic
60	C₂₃×#546	C₂²	1	1	yes	characteristic
61	D₄²×C₂₃	—	2	1	no	—
62	D₄²×C₂₃	C₂²	1	1	yes	characteristic
63	C₂₃×#533	C₂²	1	1	yes	characteristic, complemented
64	C₂₃×#532	—	2	1	no	—
65	C₂₃×#532	C₂²	1	1	yes	characteristic
66	C₂₃×#529	—	2	1	no	—
67	C₂₃×#529	—	2	1	no	—
68	C₂₃×#529	—	2	1	no	—
69	C₂₃×#525	—	2	1	no	—
70	C₂₃×#525	—	2	1	no	—
71	C₂₃×#525	C₂²	1	1	yes	characteristic
72	C₂₃×#525	C₂²	1	1	yes	characteristic
73	C₂₃×#525	C₂²	1	1	yes	characteristic, complemented
74	C₂₃×#525	C₂²	1	1	yes	characteristic, complemented
75	C₄×#41×C₂₃	—	2	1	no	—
76	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
77	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×D₄×C₂₃	—	2	1	no	—
79	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
80	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#490	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#490	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#489	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×#484	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#477	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#476	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#475	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#474	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
117	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
118	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
122	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
126	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
129	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#462	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#460	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#435	C₂²	1	1	yes	characteristic
163	C₂₃×#435	C₂²	1	1	yes	characteristic
164	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
176	C₂₃×#418	C₂²	1	1	yes	characteristic, complemented
177	C₂₃×#418	C₂²	1	1	yes	characteristic, complemented
178	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
179	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
180	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
181	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
182	C₂₃×#416	C₂²	1	1	yes	characteristic
183	C₂₃×#416	C₂²	1	1	yes	characteristic
184	C₂₃×#416	C₂²	1	1	yes	characteristic
185	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
186	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
187	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
188	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
189	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
190	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₂₃	—	2	1	no	—
204	C₂×#41×C₂₃	—	2	1	no	—
205	C₂×#41×C₂₃	—	2	1	no	—
206	C₂×#41×C₂₃	—	2	1	no	—
207	C₂×#41×C₂₃	—	2	1	no	—
208	C₂×#41×C₂₃	—	2	4	no	—
209	C₂×#41×C₂₃	—	2	4	no	—
210	C₂×#41×C₂₃	—	4	2	no	—
211	C₂×#41×C₂₃	—	4	2	no	—
212	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
213	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
214	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
222	C₂²×D₄×C₂₃	—	2	1	no	—
223	C₂²×D₄×C₂₃	—	2	1	no	—
224	C₂²×D₄×C₂₃	—	2	1	no	—
225	C₂²×D₄×C₂₃	D₄	1	1	yes	characteristic
226	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
227	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₂₃	—	2	1	no	—
229	C₂³×C₄×C₂₃	—	2	1	no	—
230	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂₃×#135	—	2	4	no	—
233	C₂₃×#135	—	4	2	no	—
234	C₂₃×#135	—	4	2	no	—
235	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
236	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
237	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
241	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
242	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
243	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
245	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
247	C₂×M₁₆×C₂₃	—	4	2	no	—
248	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
249	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
250	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
251	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₂₃	—	4	2	no	—
253	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
254	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
255	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
256	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
257	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
258	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
259	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
260	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
261	C₂₃×C₄⋊Q₈	—	2	1	no	—
262	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
265	C₂₃×#127	—	2	1	no	—
266	C₂₃×#127	C₂³	1	1	yes	characteristic
267	C₂₃×#126	—	2	1	no	—
268	C₂₃×#126	—	2	1	no	—
269	C₂₃×#126	—	2	1	no	—
270	C₂₃×#126	—	2	1	no	—
271	C₂₃×#126	—	2	1	no	—
272	C₂₃×#126	—	2	1	no	—
273	C₂₃×#125	—	2	1	no	—
274	C₂₃×#125	—	2	1	no	—
275	C₂₃×#125	—	2	1	no	—
276	C₂₃×#125	C₂³	1	1	yes	characteristic
277	C₂₃×#125	C₂³	1	1	yes	characteristic
278	C₂₃×#124	—	2	1	no	—
279	C₂₃×#124	—	2	1	no	—
280	C₂₃×#124	—	2	1	no	—
281	C₂₃×#124	—	2	1	no	—
282	C₂₃×#124	—	2	1	no	—
283	C₂₃×#124	C₂³	1	1	yes	characteristic
284	C₂₃×#124	C₂³	1	1	yes	characteristic
285	C₂₃×#123	—	2	1	no	—
286	C₂₃×#123	—	2	1	no	—
287	C₂₃×#123	—	2	1	no	—
288	C₂₃×#123	—	2	1	no	—
289	C₂₃×#123	—	2	1	no	—
290	C₂₃×#123	—	2	1	no	—
291	C₂₃×#123	—	2	1	no	—
292	C₂₃×#123	—	2	1	no	—
293	C₂₃×#123	—	2	1	no	—
294	C₂₃×#123	—	2	1	no	—
295	C₂₃×#123	—	2	1	no	—
296	C₂₃×#123	—	2	1	no	—
297	C₂₃×#123	—	2	1	no	—
298	C₂₃×#123	—	2	1	no	—
299	C₂₃×C₂²⋊Q₈	—	2	1	no	—
300	C₂₃×C₂²⋊Q₈	—	2	1	no	—
301	C₂₃×C₂²⋊Q₈	—	2	1	no	—
302	C₂₃×C₂²⋊Q₈	—	2	1	no	—
303	C₂₃×C₂²⋊Q₈	—	2	1	no	—
304	C₂₃×C₂²⋊Q₈	—	2	1	no	—
305	C₂₃×C₂²⋊Q₈	—	2	1	no	—
306	C₂₃×C₂²⋊Q₈	—	2	1	no	—
307	C₂₃×C₂²⋊Q₈	—	2	1	no	—
308	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₂₃×#121	—	2	1	no	—
317	C₂₃×#121	—	2	1	no	—
318	C₂₃×#121	—	2	1	no	—
319	C₂₃×#121	—	2	1	no	—
320	C₂₃×#121	—	2	1	no	—
321	C₂₃×#121	—	2	1	no	—
322	C₂₃×#121	—	2	1	no	—
323	C₂₃×#121	—	2	1	no	—
324	C₂₃×#121	—	2	1	no	—
325	C₂₃×#121	—	2	1	no	—
326	C₂₃×#121	—	2	1	no	—
327	C₂₃×#121	—	2	1	no	—
328	C₂₃×#121	—	2	1	no	—
329	C₂₃×#121	C₂³	1	1	yes	characteristic
330	C₂₃×#121	C₂³	1	1	yes	characteristic
331	C₂₃×#121	C₂³	1	1	yes	characteristic
332	C₂₃×#121	C₂³	1	1	yes	characteristic
333	C₂₃×#121	C₂³	1	1	yes	characteristic
334	C₂₃×#121	C₂³	1	1	yes	characteristic
335	C₂₃×#121	C₂³	1	1	yes	characteristic
336	C₂₃×#121	C₂³	1	1	yes	characteristic
337	C₂₃×#120	—	2	1	no	—
338	C₂₃×#120	—	2	1	no	—
339	C₂₃×#120	—	2	1	no	—
340	C₂₃×#120	—	2	1	no	—
341	C₂₃×#120	—	2	1	no	—
342	C₂₃×#120	—	2	1	no	—
343	C₂₃×#120	—	2	1	no	—
344	C₂₃×#120	—	2	1	no	—
345	C₄×Q₈×C₂₃	—	2	1	no	—
346	C₄×Q₈×C₂₃	—	2	1	no	—
347	C₄×Q₈×C₂₃	—	2	1	no	—
348	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
352	C₄×D₄×C₂₃	—	2	1	no	—
353	C₄×D₄×C₂₃	—	2	1	no	—
354	C₄×D₄×C₂₃	—	2	1	no	—
355	C₄×D₄×C₂₃	—	2	1	no	—
356	C₄×D₄×C₂₃	—	2	1	no	—
357	C₄×D₄×C₂₃	—	2	1	no	—
358	C₄×D₄×C₂₃	—	2	1	no	—
359	C₄×D₄×C₂₃	—	2	1	no	—
360	C₄×D₄×C₂₃	—	2	1	no	—
361	C₄×D₄×C₂₃	—	2	1	no	—
362	C₄×D₄×C₂₃	—	2	1	no	—
363	C₄×D₄×C₂₃	—	2	1	no	—
364	C₄×D₄×C₂₃	—	2	1	no	—
365	C₄×D₄×C₂₃	—	2	1	no	—
366	C₄×D₄×C₂₃	—	2	1	no	—
367	C₄×D₄×C₂₃	—	2	1	no	—
368	C₄×D₄×C₂₃	—	2	1	no	—
369	C₄×D₄×C₂₃	—	2	1	no	—
370	C₄×D₄×C₂₃	—	2	1	no	—
371	C₄×D₄×C₂₃	—	2	1	no	—
372	C₄×D₄×C₂₃	—	2	1	no	—
373	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
374	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
375	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
376	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
377	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
385	C₂₃×#117	—	2	1	no	—
386	C₂₃×#117	—	2	1	no	—
387	C₂₃×#117	—	2	1	no	—
388	C₂₃×#117	—	2	1	no	—
389	C₂₃×#117	—	2	1	no	—
390	C₂₃×#117	—	2	1	no	—
391	C₂₃×#117	—	2	1	no	—
392	C₂₃×#117	—	2	1	no	—
393	C₂₃×#117	—	2	1	no	—
394	C₂₃×#117	C₂³	1	1	yes	characteristic
395	C₂₃×#117	C₂³	1	1	yes	characteristic
396	C₂₃×#117	C₂³	1	1	yes	characteristic
397	C₂₃×#117	C₂³	1	1	yes	characteristic
398	C₂₃×#117	C₂³	1	1	yes	characteristic
399	C₂₃×#117	C₂³	1	1	yes	characteristic
400	C₂₃×#117	C₂³	1	1	yes	characteristic
401	C₂₃×#117	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
403	C₂×C₄⋊C₄×C₂₃	D₄	1	1	yes	characteristic
404	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
408	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
409	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
410	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
411	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
412	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
413	C₂×C₂²⋊C₄×C₂₃	D₄	1	1	yes	characteristic
414	C₂×C₄²×C₂₃	—	2	1	no	—
415	C₂×C₄²×C₂₃	—	2	1	no	—
416	C₂×C₄²×C₂₃	—	2	1	no	—
417	C₂×C₄²×C₂₃	—	2	1	no	—
418	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
419	C₂₃×#107	C₂³	1	1	yes	characteristic
420	C₂₃×#107	C₂³	1	1	yes	characteristic
421	C₂₃×#107	C₂³	1	1	yes	characteristic
422	C₂₃×#107	C₂³	1	1	yes	characteristic
423	C₂₃×#107	C₂³	1	1	yes	characteristic
424	C₂₃×#107	C₂³	1	1	yes	characteristic
425	C₂₃×#106	C₂³	1	1	yes	characteristic
426	C₂₃×#106	C₂³	1	1	yes	characteristic
427	C₂₃×#106	C₂³	1	1	yes	characteristic
428	C₂₃×#106	C₂³	1	1	yes	characteristic
429	C₂₃×#106	C₂³	1	1	yes	characteristic
430	C₂₃×#106	C₂³	1	1	yes	characteristic
431	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₂₃×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
453	C₂₃×#103	C₂³	1	1	yes	characteristic
454	C₂₃×#103	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×#102	C₂³	1	1	yes	characteristic
463	C₂₃×#102	C₂³	1	1	yes	characteristic
464	C₂₃×#102	C₂³	1	1	yes	characteristic
465	C₂₃×#102	C₂³	1	1	yes	characteristic
466	C₂₃×#102	C₂³	1	1	yes	characteristic
467	C₂₃×#102	C₂³	1	1	yes	characteristic
468	C₂₃×#102	C₂³	1	1	yes	characteristic
469	C₂₃×#102	C₂³	1	1	yes	characteristic
470	C₂₃×#102	C₂³	1	1	yes	characteristic
471	C₂₃×#102	C₂³	1	1	yes	characteristic
472	C₂₃×#102	C₂³	1	1	yes	characteristic
473	C₂₃×#102	C₂³	1	1	yes	characteristic
474	C₂₃×#102	C₂³	1	1	yes	characteristic
475	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₂₃×#97	C₂³	1	1	yes	characteristic
484	C₂₃×#97	C₂³	1	1	yes	characteristic
485	C₂₃×#97	C₂³	1	1	yes	characteristic
486	C₂₃×#97	C₂³	1	1	yes	characteristic
487	C₂⁴×C₂₃	—	2	1	no	—
488	C₂⁴×C₂₃	—	2	1	no	—
489	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
490	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
491	#41×C₂₃	—	2	2	no	—
492	#41×C₂₃	—	2	2	no	—
493	#41×C₂₃	—	2	2	no	—
494	#41×C₂₃	—	2	2	no	—
495	#41×C₂₃	—	2	2	no	—
496	#41×C₂₃	—	2	2	no	—
497	#41×C₂₃	—	2	2	no	—
498	#41×C₂₃	—	2	2	no	—
499	#41×C₂₃	—	2	2	no	—
500	#41×C₂₃	—	2	2	no	—
501	#41×C₂₃	—	2	2	no	—
502	#41×C₂₃	—	4	4	no	—
503	#41×C₂₃	—	4	4	no	—
504	#41×C₂₃	—	4	1	no	—
505	#41×C₂₃	—	4	1	no	—
506	#41×C₂₃	—	4	1	no	—
507	#41×C₂₃	—	4	1	no	—
508	#41×C₂₃	—	4	4	no	—
509	#41×C₂₃	—	4	4	no	—
510	#41×C₂₃	—	4	4	no	—
511	#41×C₂₃	#41	1	4	yes	complemented
512	C₂×Q₈×C₂₃	—	2	1	no	—
513	C₂×Q₈×C₂₃	—	2	1	no	—
514	C₂×Q₈×C₂₃	—	2	1	no	—
515	C₂×Q₈×C₂₃	—	2	1	no	—
516	C₂×Q₈×C₂₃	—	2	2	no	—
517	C₂×Q₈×C₂₃	—	2	2	no	—
518	C₂×Q₈×C₂₃	—	4	1	no	—
519	C₂×Q₈×C₂₃	—	4	1	no	—
520	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
521	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
522	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
523	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₂₃	—	2	1	no	—
525	C₂×D₄×C₂₃	—	2	2	no	—
526	C₂×D₄×C₂₃	—	2	2	no	—
527	C₂×D₄×C₂₃	—	2	1	no	—
528	C₂×D₄×C₂₃	—	2	1	no	—
529	C₂×D₄×C₂₃	—	2	1	no	—
530	C₂×D₄×C₂₃	—	2	1	no	—
531	C₂×D₄×C₂₃	—	2	1	no	—
532	C₂×D₄×C₂₃	—	2	1	no	—
533	C₂×D₄×C₂₃	—	2	1	no	—
534	C₂×D₄×C₂₃	—	2	1	no	—
535	C₂×D₄×C₂₃	—	2	1	no	—
536	C₂×D₄×C₂₃	—	2	1	no	—
537	C₂×D₄×C₂₃	—	2	1	no	—
538	C₂×D₄×C₂₃	—	2	1	no	—
539	C₂×D₄×C₂₃	—	2	1	no	—
540	C₂×D₄×C₂₃	—	2	1	no	—
541	C₂×D₄×C₂₃	—	2	1	no	—
542	C₂×D₄×C₂₃	—	2	1	no	—
543	C₂×D₄×C₂₃	—	2	1	no	—
544	C₂×D₄×C₂₃	—	2	1	no	—
545	C₂×D₄×C₂₃	—	2	1	no	—
546	C₂×D₄×C₂₃	—	4	1	no	—
547	C₂×D₄×C₂₃	—	4	1	no	—
548	C₂×D₄×C₂₃	—	4	2	no	—
549	C₂×D₄×C₂₃	—	4	4	no	—
550	C₂×D₄×C₂₃	—	4	4	no	—
551	C₂×D₄×C₂₃	—	4	4	no	—
552	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
553	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
554	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
555	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
556	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
557	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
558	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
559	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₂₃	—	2	1	no	—
561	C₂²×C₄×C₂₃	—	2	2	no	—
562	C₂²×C₄×C₂₃	—	2	2	no	—
563	C₂²×C₄×C₂₃	—	2	2	no	—
564	C₂²×C₄×C₂₃	—	2	2	no	—
565	C₂²×C₄×C₂₃	—	2	1	no	—
566	C₂²×C₄×C₂₃	—	2	1	no	—
567	C₂²×C₄×C₂₃	—	2	1	no	—
568	C₂²×C₄×C₂₃	—	2	1	no	—
569	C₂²×C₄×C₂₃	—	2	1	no	—
570	C₂²×C₄×C₂₃	—	2	1	no	—
571	C₂²×C₄×C₂₃	—	2	1	no	—
572	C₂²×C₄×C₂₃	—	2	1	no	—
573	C₂²×C₄×C₂₃	—	2	1	no	—
574	C₂²×C₄×C₂₃	—	2	1	no	—
575	C₂²×C₄×C₂₃	—	2	1	no	—
576	C₂²×C₄×C₂₃	—	2	1	no	—
577	C₂²×C₄×C₂₃	—	2	1	no	—
578	C₂²×C₄×C₂₃	—	2	1	no	—
579	C₂²×C₄×C₂₃	—	2	1	no	—
580	C₂²×C₄×C₂₃	—	2	1	no	—
581	C₂²×C₄×C₂₃	—	2	1	no	—
582	C₂²×C₄×C₂₃	—	4	4	no	—
583	C₂²×C₄×C₂₃	—	4	4	no	—
584	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
585	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
586	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
587	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
588	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
589	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
590	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
591	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
592	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
597	Q₁₆×C₂₃	—	2	2	no	—
598	Q₁₆×C₂₃	—	4	1	no	—
599	Q₁₆×C₂₃	—	4	1	no	—
600	SD₁₆×C₂₃	—	2	2	no	—
601	SD₁₆×C₂₃	—	2	2	no	—
602	SD₁₆×C₂₃	—	4	1	no	—
603	SD₁₆×C₂₃	—	4	1	no	—
604	SD₁₆×C₂₃	—	4	1	no	—
605	SD₁₆×C₂₃	—	4	1	no	—
606	D₈×C₂₃	—	2	2	no	—
607	D₈×C₂₃	—	4	1	no	—
608	D₈×C₂₃	—	4	1	no	—
609	M₁₆×C₂₃	—	4	1	no	—
610	M₁₆×C₂₃	—	4	1	no	—
611	M₁₆×C₂₃	—	4	1	no	—
612	M₁₆×C₂₃	—	4	1	no	—
613	C₂×C₈×C₂₃	—	2	2	no	—
614	C₂×C₈×C₂₃	—	2	2	no	—
615	C₂×C₈×C₂₃	—	2	2	no	—
616	C₂×C₈×C₂₃	—	2	2	no	—
617	C₂×C₈×C₂₃	—	4	1	no	—
618	C₂×C₈×C₂₃	—	4	1	no	—
619	C₂×C₈×C₂₃	—	4	1	no	—
620	C₂×C₈×C₂₃	—	4	1	no	—
621	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
624	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
625	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₂₃	—	2	1	no	—
630	C₄⋊C₄×C₂₃	—	2	1	no	—
631	C₄⋊C₄×C₂₃	—	2	1	no	—
632	C₄⋊C₄×C₂₃	—	2	1	no	—
633	C₄⋊C₄×C₂₃	—	2	1	no	—
634	C₄⋊C₄×C₂₃	—	2	1	no	—
635	C₄⋊C₄×C₂₃	—	2	1	no	—
636	C₄⋊C₄×C₂₃	—	2	1	no	—
637	C₄⋊C₄×C₂₃	—	2	1	no	—
638	C₄⋊C₄×C₂₃	—	2	1	no	—
639	C₄⋊C₄×C₂₃	—	2	1	no	—
640	C₄⋊C₄×C₂₃	—	2	1	no	—
641	C₄⋊C₄×C₂₃	—	2	1	no	—
642	C₄⋊C₄×C₂₃	—	2	1	no	—
643	C₄⋊C₄×C₂₃	—	2	1	no	—
644	C₄⋊C₄×C₂₃	—	2	1	no	—
645	C₄⋊C₄×C₂₃	—	2	1	no	—
646	C₄⋊C₄×C₂₃	—	2	1	no	—
647	C₄⋊C₄×C₂₃	—	2	1	no	—
648	C₄⋊C₄×C₂₃	—	2	1	no	—
649	C₄⋊C₄×C₂₃	—	2	1	no	—
650	C₄⋊C₄×C₂₃	—	2	1	no	—
651	C₄⋊C₄×C₂₃	—	2	1	no	—
652	C₄⋊C₄×C₂₃	—	2	1	no	—
653	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
654	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
655	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
656	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
657	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
659	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
660	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
661	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
664	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
665	C₂²⋊C₄×C₂₃	—	2	1	no	—
666	C₂²⋊C₄×C₂₃	—	2	1	no	—
667	C₂²⋊C₄×C₂₃	—	2	1	no	—
668	C₂²⋊C₄×C₂₃	—	2	1	no	—
669	C₂²⋊C₄×C₂₃	—	2	1	no	—
670	C₂²⋊C₄×C₂₃	—	2	1	no	—
671	C₂²⋊C₄×C₂₃	—	2	1	no	—
672	C₂²⋊C₄×C₂₃	—	2	1	no	—
673	C₂²⋊C₄×C₂₃	—	2	1	no	—
674	C₂²⋊C₄×C₂₃	—	2	1	no	—
675	C₂²⋊C₄×C₂₃	—	2	1	no	—
676	C₂²⋊C₄×C₂₃	—	2	1	no	—
677	C₂²⋊C₄×C₂₃	—	2	1	no	—
678	C₂²⋊C₄×C₂₃	—	2	1	no	—
679	C₂²⋊C₄×C₂₃	—	2	1	no	—
680	C₂²⋊C₄×C₂₃	—	2	1	no	—
681	C₂²⋊C₄×C₂₃	—	2	1	no	—
682	C₂²⋊C₄×C₂₃	—	2	1	no	—
683	C₂²⋊C₄×C₂₃	—	2	1	no	—
684	C₂²⋊C₄×C₂₃	—	2	1	no	—
685	C₂²⋊C₄×C₂₃	—	2	1	no	—
686	C₂²⋊C₄×C₂₃	—	2	1	no	—
687	C₂²⋊C₄×C₂₃	—	2	1	no	—
688	C₂²⋊C₄×C₂₃	—	2	1	no	—
689	C₂²⋊C₄×C₂₃	—	2	1	no	—
690	C₂²⋊C₄×C₂₃	—	2	1	no	—
691	C₂²⋊C₄×C₂₃	—	2	1	no	—
692	C₂²⋊C₄×C₂₃	—	2	1	no	—
693	C₂²⋊C₄×C₂₃	—	2	1	no	—
694	C₂²⋊C₄×C₂₃	—	2	1	no	—
695	C₂²⋊C₄×C₂₃	—	2	1	no	—
696	C₂²⋊C₄×C₂₃	—	2	1	no	—
697	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
699	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
700	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
701	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
702	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
703	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
704	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₂₃	—	2	1	no	—
706	C₄²×C₂₃	—	2	1	no	—
707	C₄²×C₂₃	—	2	1	no	—
708	C₄²×C₂₃	—	2	1	no	—
709	C₄²×C₂₃	—	2	1	no	—
710	C₄²×C₂₃	—	2	1	no	—
711	C₄²×C₂₃	—	2	1	no	—
712	C₄²×C₂₃	—	2	1	no	—
713	C₄²×C₂₃	—	2	1	no	—
714	C₄²×C₂₃	—	2	1	no	—
715	C₄²×C₂₃	—	2	1	no	—
716	C₄²×C₂₃	—	2	1	no	—
717	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
718	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
719	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
720	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
721	#61141	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
722	C₂³×C₂₃	—	2	2	no	—
723	C₂³×C₂₃	—	2	2	no	—
724	C₂³×C₂₃	—	2	1	no	—
725	C₂³×C₂₃	—	2	2	no	—
726	C₂³×C₂₃	—	2	1	no	—
727	C₂³×C₂₃	—	2	1	no	—
728	C₂³×C₂₃	—	2	1	no	—
729	C₂³×C₂₃	—	4	1	no	—
730	C₂³×C₂₃	—	4	1	no	—
731	C₂³×C₂₃	—	4	1	no	—
732	C₂³×C₂₃	—	4	2	no	—
733	C₂³×C₂₃	—	4	2	no	—
734	C₂³×C₂₃	—	4	2	no	—
735	C₂³×C₂₃	—	4	2	no	—
736	C₂³×C₂₃	—	8	1	no	—
737	C₂³×C₂₃	—	8	1	no	—
738	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
739	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
741	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
742	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
743	Q₈×C₂₃	—	2	1	no	—
744	Q₈×C₂₃	—	2	1	no	—
745	Q₈×C₂₃	—	2	1	no	—
746	Q₈×C₂₃	—	2	1	no	—
747	Q₈×C₂₃	—	2	1	no	—
748	Q₈×C₂₃	—	2	1	no	—
749	Q₈×C₂₃	—	2	1	no	—
750	Q₈×C₂₃	—	4	2	no	—
751	Q₈×C₂₃	—	4	2	no	—
752	Q₈×C₂₃	—	4	2	no	—
753	Q₈×C₂₃	—	8	1	no	—
754	Q₈×C₂₃	C₂×#41	1	2	yes	—
755	D₄×C₂₃	—	2	4	no	—
756	D₄×C₂₃	—	2	2	no	—
757	D₄×C₂₃	—	2	2	no	—
758	D₄×C₂₃	—	2	1	no	—
759	D₄×C₂₃	—	2	1	no	—
760	D₄×C₂₃	—	2	1	no	—
761	D₄×C₂₃	—	2	1	no	—
762	D₄×C₂₃	—	2	1	no	—
763	D₄×C₂₃	—	2	1	no	—
764	D₄×C₂₃	—	2	1	no	—
765	D₄×C₂₃	—	4	1	no	—
766	D₄×C₂₃	—	4	1	no	—
767	D₄×C₂₃	—	4	2	no	—
768	D₄×C₂₃	—	4	2	no	—
769	D₄×C₂₃	—	4	2	no	—
770	D₄×C₂₃	—	4	2	no	—
771	D₄×C₂₃	—	4	2	no	—
772	D₄×C₂₃	—	4	2	no	—
773	D₄×C₂₃	—	4	2	no	—
774	D₄×C₂₃	—	4	2	no	—
775	D₄×C₂₃	—	4	2	no	—
776	D₄×C₂₃	—	4	2	no	—
777	D₄×C₂₃	—	4	2	no	—
778	D₄×C₂₃	—	4	2	no	—
779	D₄×C₂₃	—	4	2	no	—
780	D₄×C₂₃	—	4	2	no	—
781	D₄×C₂₃	—	8	1	no	—
782	D₄×C₂₃	—	8	1	no	—
783	D₄×C₂₃	—	8	1	no	—
784	D₄×C₂₃	—	8	1	no	—
785	D₄×C₂₃	—	8	1	no	—
786	D₄×C₂₃	C₂×#41	1	2	yes	—
787	C₂×C₄×C₂₃	—	2	2	no	—
788	C₂×C₄×C₂₃	—	2	2	no	—
789	C₂×C₄×C₂₃	—	2	1	no	—
790	C₂×C₄×C₂₃	—	2	2	no	—
791	C₂×C₄×C₂₃	—	2	2	no	—
792	C₂×C₄×C₂₃	—	2	2	no	—
793	C₂×C₄×C₂₃	—	2	2	no	—
794	C₂×C₄×C₂₃	—	2	4	no	—
795	C₂×C₄×C₂₃	—	2	1	no	—
796	C₂×C₄×C₂₃	—	2	1	no	—
797	C₂×C₄×C₂₃	—	2	1	no	—
798	C₂×C₄×C₂₃	—	2	1	no	—
799	C₂×C₄×C₂₃	—	2	1	no	—
800	C₂×C₄×C₂₃	—	2	1	no	—
801	C₂×C₄×C₂₃	—	2	1	no	—
802	C₂×C₄×C₂₃	—	2	1	no	—
803	C₂×C₄×C₂₃	—	2	1	no	—
804	C₂×C₄×C₂₃	—	2	1	no	—
805	C₂×C₄×C₂₃	—	2	1	no	—
806	C₂×C₄×C₂₃	—	2	1	no	—
807	C₂×C₄×C₂₃	—	2	1	no	—
808	C₂×C₄×C₂₃	—	2	1	no	—
809	C₂×C₄×C₂₃	—	2	1	no	—
810	C₂×C₄×C₂₃	—	2	1	no	—
811	C₂×C₄×C₂₃	—	2	1	no	—
812	C₂×C₄×C₂₃	—	2	1	no	—
813	C₂×C₄×C₂₃	—	2	1	no	—
814	C₂×C₄×C₂₃	—	4	1	no	—
815	C₂×C₄×C₂₃	—	4	1	no	—
816	C₂×C₄×C₂₃	—	4	2	no	—
817	C₂×C₄×C₂₃	—	4	2	no	—
818	C₂×C₄×C₂₃	—	4	2	no	—
819	C₂×C₄×C₂₃	—	4	2	no	—
820	C₂×C₄×C₂₃	—	4	2	no	—
821	C₂×C₄×C₂₃	—	4	2	no	—
822	C₂×C₄×C₂₃	—	4	2	no	—
823	C₂×C₄×C₂₃	—	4	2	no	—
824	C₂×C₄×C₂₃	—	4	2	no	—
825	C₂×C₄×C₂₃	—	4	2	no	—
826	C₂×C₄×C₂₃	—	4	2	no	—
827	C₂×C₄×C₂₃	—	4	2	no	—
828	C₂×C₄×C₂₃	—	4	2	no	—
829	C₂×C₄×C₂₃	—	8	1	no	—
830	C₂×C₄×C₂₃	—	8	1	no	—
831	C₂×C₄×C₂₃	—	8	1	no	—
832	C₂×C₄×C₂₃	—	8	1	no	—
833	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
843	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
844	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
845	C₈×C₂₃	—	2	1	no	—
846	C₈×C₂₃	—	2	1	no	—
847	C₈×C₂₃	—	2	1	no	—
848	C₈×C₂₃	—	2	1	no	—
849	C₈×C₂₃	—	2	1	no	—
850	C₈×C₂₃	—	2	1	no	—
851	C₈×C₂₃	—	2	1	no	—
852	C₈×C₂₃	—	2	1	no	—
853	#3475	C₂×C₂₃	1	1	yes	characteristic, complemented
854	D₄×#41	C₂×C₂₃	1	1	yes	characteristic, complemented
855	#3321	C₂×C₂₃	1	1	yes	characteristic, complemented
856	#3320	C₂×C₂₃	1	1	yes	characteristic, complemented
857	#3319	C₂×C₂₃	1	1	yes	characteristic, complemented
858	#3318	C₂×C₂₃	1	1	yes	characteristic, complemented
859	#3317	C₂×C₂₃	1	1	yes	characteristic, complemented
860	#3316	C₂×C₂₃	1	1	yes	characteristic, complemented
861	#3315	C₂×C₂₃	1	1	yes	characteristic, complemented
862	#3314	C₂×C₂₃	1	1	yes	characteristic, complemented
863	#3313	C₂×C₂₃	1	1	yes	characteristic, complemented
864	#3312	C₂×C₂₃	1	1	yes	characteristic, complemented
865	#3311	C₂×C₂₃	1	1	yes	characteristic, complemented
866	#3310	C₂×C₂₃	1	1	yes	characteristic, complemented
867	#3309	C₂×C₂₃	1	1	yes	characteristic, complemented
868	#3308	C₂×C₂₃	1	1	yes	characteristic, complemented
869	#3307	C₂×C₂₃	1	1	yes	characteristic, complemented
870	#3306	C₂×C₂₃	1	1	yes	characteristic, complemented
871	#3135	C₂×C₂₃	1	1	yes	characteristic, complemented
872	#3091	C₂×C₂₃	1	1	yes	characteristic, complemented
873	#3091	C₂×C₂₃	1	1	yes	characteristic, complemented
874	#3076	C₂×C₂₃	1	1	yes	characteristic, complemented
875	#3054	C₂×C₂₃	1	1	yes	characteristic, complemented
876	#3050	C₂×C₂₃	1	1	yes	characteristic, complemented
877	#3035	C₂×C₂₃	1	1	yes	characteristic, complemented
878	#3002	C₂×C₂₃	1	1	yes	characteristic, complemented
879	#3002	C₂×C₂₃	1	1	yes	characteristic, complemented
880	#2943	C₂×C₂₃	1	1	yes	characteristic, complemented
881	C₂×#435	C₂×C₂₃	1	1	yes	characteristic, complemented
882	#2896	C₂×C₂₃	1	1	yes	characteristic, complemented
883	C₂×#416	C₂×C₂₃	1	1	yes	characteristic, complemented
884	C₂²×C₂₃	—	2	1	no	—
885	C₂²×C₂₃	—	2	1	no	—
886	C₂²×C₂₃	—	2	1	no	—
887	C₂²×C₂₃	—	2	1	no	—
888	C₂²×C₂₃	—	2	1	no	—
889	C₂²×C₂₃	—	2	1	no	—
890	C₂²×C₂₃	—	2	1	no	—
891	C₂²×C₂₃	—	2	1	no	—
892	C₂²×C₂₃	—	2	1	no	—
893	C₂²×C₂₃	—	2	1	no	—
894	C₂²×C₂₃	—	2	2	no	—
895	C₂²×C₂₃	—	2	1	no	—
896	C₂²×C₂₃	—	2	1	no	—
897	C₂²×C₂₃	—	2	1	no	—
898	C₂²×C₂₃	—	4	4	no	—
899	C₂²×C₂₃	—	4	1	no	—
900	C₂²×C₂₃	—	4	1	no	—
901	C₂²×C₂₃	—	4	1	no	—
902	C₂²×C₂₃	—	4	1	no	—
903	C₂²×C₂₃	—	4	1	no	—
904	C₂²×C₂₃	—	4	1	no	—
905	C₂²×C₂₃	—	4	1	no	—
906	C₂²×C₂₃	—	4	1	no	—
907	C₂²×C₂₃	—	4	1	no	—
908	C₂²×C₂₃	—	4	1	no	—
909	C₂²×C₂₃	—	4	1	no	—
910	C₂²×C₂₃	—	8	2	no	—
911	C₂²×C₂₃	—	8	4	no	—
912	C₂²×C₂₃	—	8	4	no	—
913	C₂²×C₂₃	#546	1	2	yes	—
914	C₂²×C₂₃	#575	1	2	yes	—
915	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
916	C₄×C₂₃	—	2	1	no	—
917	C₄×C₂₃	—	2	1	no	—
918	C₄×C₂₃	—	2	1	no	—
919	C₄×C₂₃	—	2	1	no	—
920	C₄×C₂₃	—	2	1	no	—
921	C₄×C₂₃	—	2	1	no	—
922	C₄×C₂₃	—	2	2	no	—
923	C₄×C₂₃	—	2	1	no	—
924	C₄×C₂₃	—	2	1	no	—
925	C₄×C₂₃	—	4	1	no	—
926	C₄×C₂₃	—	4	1	no	—
927	C₄×C₂₃	—	4	1	no	—
928	C₄×C₂₃	—	4	1	no	—
929	C₄×C₂₃	—	4	1	no	—
930	C₄×C₂₃	—	4	1	no	—
931	C₄×C₂₃	—	4	1	no	—
932	C₄×C₂₃	—	4	1	no	—
933	C₄×C₂₃	—	4	1	no	—
934	C₄×C₂₃	—	4	1	no	—
935	C₄×C₂₃	—	4	1	no	—
936	C₄×C₂₃	#546	1	2	yes	—
937	C₄×C₂₃	C₂²×#41	1	1	yes	characteristic
938	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
939	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
940	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
941	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic
942	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	C₂²×M₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	C₂³×C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
946	#556	C₂²×C₂₃	1	1	yes	characteristic, complemented
947	#555	C₂²×C₂₃	1	1	yes	characteristic, complemented
948	#554	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#553	C₂²×C₂₃	1	1	yes	characteristic
950	#553	C₂²×C₂₃	1	1	yes	characteristic, complemented
951	#552	—	2	1	no	—
952	#552	C₂²×C₂₃	1	1	yes	characteristic
953	#552	C₂²×C₂₃	1	1	yes	characteristic, complemented
954	#551	—	2	1	no	—
955	#551	—	2	1	no	—
956	#550	C₂²×C₂₃	1	1	yes	characteristic
957	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
958	#548	C₂²×C₂₃	1	1	yes	characteristic
959	#548	C₂²×C₂₃	1	1	yes	characteristic
960	#547	—	2	1	no	—
961	#547	C₂²×C₂₃	1	1	yes	characteristic
962	#547	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	#546	—	2	1	no	—
964	#546	—	2	1	no	—
965	#546	—	2	1	no	—
966	#546	C₂²×C₂₃	1	1	yes	characteristic
967	#546	C₂²×C₂₃	1	1	yes	characteristic
968	D₄²	—	2	1	no	—
969	D₄²	C₂²×C₂₃	1	1	yes	characteristic
970	#533	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	#532	—	2	1	no	—
972	#532	C₂²×C₂₃	1	1	yes	characteristic
973	#529	—	2	1	no	—
974	#529	—	2	1	no	—
975	#529	—	2	1	no	—
976	#525	—	2	1	no	—
977	#525	—	2	1	no	—
978	#525	C₂²×C₂₃	1	1	yes	characteristic
979	#525	C₂²×C₂₃	1	1	yes	characteristic
980	#525	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#525	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	C₄×#41	—	2	1	no	—
983	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
984	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	C₂×C₄×D₄	—	2	1	no	—
986	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
987	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	#490	C₂²×C₂₃	1	1	yes	characteristic, complemented
992	#490	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
994	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1000	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	#476	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	#474	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
1023	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1040	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	#462	C₂²×C₂₃	1	1	yes	characteristic, complemented
1042	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	#460	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1045	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1047	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1048	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1049	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1051	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1052	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1053	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1054	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1055	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1056	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1057	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1058	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1059	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1060	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1061	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1062	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1063	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1064	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1065	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1066	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1067	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1068	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1069	#435	C₂²×C₂₃	1	1	yes	characteristic
1070	#435	C₂²×C₂₃	1	1	yes	characteristic
1071	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1072	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1073	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1074	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1075	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1076	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1077	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1078	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1079	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1080	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1081	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1082	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1083	#418	C₂²×C₂₃	1	1	yes	characteristic, complemented
1084	#418	C₂²×C₂₃	1	1	yes	characteristic, complemented
1085	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1086	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1087	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1088	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1089	#416	C₂²×C₂₃	1	1	yes	characteristic
1090	#416	C₂²×C₂₃	1	1	yes	characteristic
1091	#416	C₂²×C₂₃	1	1	yes	characteristic
1092	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1093	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1094	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1095	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1096	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1097	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1098	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1099	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1100	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1101	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1102	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1103	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1104	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1105	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1107	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1108	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1109	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic, complemented
1110	C₂×C₂₃	—	2	2	no	—
1111	C₂×C₂₃	—	2	2	no	—
1112	C₂×C₂₃	—	4	1	no	—
1113	C₂×C₂₃	—	4	1	no	—
1114	C₂×C₂₃	—	4	1	no	—
1115	C₂×C₂₃	—	4	2	no	—
1116	C₂×C₂₃	—	8	1	no	—
1117	C₂×C₂₃	—	8	1	no	—
1118	C₂×C₂₃	—	8	1	no	—
1119	C₂×C₂₃	C₂×#546	1	1	yes	characteristic
1120	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
1121	C₂×C₂₃	#3584	1	1	yes	characteristic
1122	C₂×#41	—	2	1	no	—
1123	C₂×#41	—	2	1	no	—
1124	C₂×#41	—	2	1	no	—
1125	C₂×#41	—	2	1	no	—
1126	C₂×#41	—	2	1	no	—
1127	C₂×#41	—	2	4	no	—
1128	C₂×#41	—	2	4	no	—
1129	C₂×#41	—	4	2	no	—
1130	C₂×#41	—	4	2	no	—
1131	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1132	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1133	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1134	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1135	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1136	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1137	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1138	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1139	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1140	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1141	C₂²×D₄	—	2	1	no	—
1142	C₂²×D₄	—	2	1	no	—
1143	C₂²×D₄	—	2	1	no	—
1144	C₂²×D₄	D₄×C₂₃	1	1	yes	characteristic
1145	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1146	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1147	C₂³×C₄	—	2	1	no	—
1148	C₂³×C₄	—	2	1	no	—
1149	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1151	#135	—	2	4	no	—
1152	#135	—	4	2	no	—
1153	#135	—	4	2	no	—
1154	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1155	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1156	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1157	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1158	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1159	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1160	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1161	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1162	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1163	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1164	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1165	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1166	C₂×M₁₆	—	4	2	no	—
1167	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1168	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1169	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1170	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1171	C₂²×C₈	—	4	2	no	—
1172	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1176	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1177	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1178	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1179	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1180	C₄⋊Q₈	—	2	1	no	—
1181	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1182	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1183	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1184	#127	—	2	1	no	—
1185	#127	C₂³×C₂₃	1	1	yes	characteristic
1186	#126	—	2	1	no	—
1187	#126	—	2	1	no	—
1188	#126	—	2	1	no	—
1189	#126	—	2	1	no	—
1190	#126	—	2	1	no	—
1191	#126	—	2	1	no	—
1192	#125	—	2	1	no	—
1193	#125	—	2	1	no	—
1194	#125	—	2	1	no	—
1195	#125	C₂³×C₂₃	1	1	yes	characteristic
1196	#125	C₂³×C₂₃	1	1	yes	characteristic
1197	#124	—	2	1	no	—
1198	#124	—	2	1	no	—
1199	#124	—	2	1	no	—
1200	#124	—	2	1	no	—
1201	#124	—	2	1	no	—
1202	#124	C₂³×C₂₃	1	1	yes	characteristic
1203	#124	C₂³×C₂₃	1	1	yes	characteristic
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	2	1	no	—
1212	#123	—	2	1	no	—
1213	#123	—	2	1	no	—
1214	#123	—	2	1	no	—
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	C₂²⋊Q₈	—	2	1	no	—
1219	C₂²⋊Q₈	—	2	1	no	—
1220	C₂²⋊Q₈	—	2	1	no	—
1221	C₂²⋊Q₈	—	2	1	no	—
1222	C₂²⋊Q₈	—	2	1	no	—
1223	C₂²⋊Q₈	—	2	1	no	—
1224	C₂²⋊Q₈	—	2	1	no	—
1225	C₂²⋊Q₈	—	2	1	no	—
1226	C₂²⋊Q₈	—	2	1	no	—
1227	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1228	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1229	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1230	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1231	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1232	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	2	1	no	—
1246	#121	—	2	1	no	—
1247	#121	—	2	1	no	—
1248	#121	C₂³×C₂₃	1	1	yes	characteristic
1249	#121	C₂³×C₂₃	1	1	yes	characteristic
1250	#121	C₂³×C₂₃	1	1	yes	characteristic
1251	#121	C₂³×C₂₃	1	1	yes	characteristic
1252	#121	C₂³×C₂₃	1	1	yes	characteristic
1253	#121	C₂³×C₂₃	1	1	yes	characteristic
1254	#121	C₂³×C₂₃	1	1	yes	characteristic
1255	#121	C₂³×C₂₃	1	1	yes	characteristic
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	—	2	1	no	—
1264	C₄×Q₈	—	2	1	no	—
1265	C₄×Q₈	—	2	1	no	—
1266	C₄×Q₈	—	2	1	no	—
1267	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1268	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1269	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1270	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	2	1	no	—
1285	C₄×D₄	—	2	1	no	—
1286	C₄×D₄	—	2	1	no	—
1287	C₄×D₄	—	2	1	no	—
1288	C₄×D₄	—	2	1	no	—
1289	C₄×D₄	—	2	1	no	—
1290	C₄×D₄	—	2	1	no	—
1291	C₄×D₄	—	2	1	no	—
1292	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1293	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1294	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1295	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1296	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1297	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1298	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1299	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1300	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1301	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1302	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1303	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1304	#117	—	2	1	no	—
1305	#117	—	2	1	no	—
1306	#117	—	2	1	no	—
1307	#117	—	2	1	no	—
1308	#117	—	2	1	no	—
1309	#117	—	2	1	no	—
1310	#117	—	2	1	no	—
1311	#117	—	2	1	no	—
1312	#117	—	2	1	no	—
1313	#117	C₂³×C₂₃	1	1	yes	characteristic
1314	#117	C₂³×C₂₃	1	1	yes	characteristic
1315	#117	C₂³×C₂₃	1	1	yes	characteristic
1316	#117	C₂³×C₂₃	1	1	yes	characteristic
1317	#117	C₂³×C₂₃	1	1	yes	characteristic
1318	#117	C₂³×C₂₃	1	1	yes	characteristic
1319	#117	C₂³×C₂₃	1	1	yes	characteristic
1320	#117	C₂³×C₂₃	1	1	yes	characteristic
1321	C₂×C₄⋊C₄	—	2	1	no	—
1322	C₂×C₄⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1323	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1324	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1325	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1326	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1327	C₂×C₂²⋊C₄	—	2	1	no	—
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	2	1	no	—
1330	C₂×C₂²⋊C₄	—	2	1	no	—
1331	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1332	C₂×C₂²⋊C₄	D₄×C₂₃	1	1	yes	characteristic
1333	C₂×C₄²	—	2	1	no	—
1334	C₂×C₄²	—	2	1	no	—
1335	C₂×C₄²	—	2	1	no	—
1336	C₂×C₄²	—	2	1	no	—
1337	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1338	#107	C₂³×C₂₃	1	1	yes	characteristic
1339	#107	C₂³×C₂₃	1	1	yes	characteristic
1340	#107	C₂³×C₂₃	1	1	yes	characteristic
1341	#107	C₂³×C₂₃	1	1	yes	characteristic
1342	#107	C₂³×C₂₃	1	1	yes	characteristic
1343	#107	C₂³×C₂₃	1	1	yes	characteristic
1344	#106	C₂³×C₂₃	1	1	yes	characteristic
1345	#106	C₂³×C₂₃	1	1	yes	characteristic
1346	#106	C₂³×C₂₃	1	1	yes	characteristic
1347	#106	C₂³×C₂₃	1	1	yes	characteristic
1348	#106	C₂³×C₂₃	1	1	yes	characteristic
1349	#106	C₂³×C₂₃	1	1	yes	characteristic
1350	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1351	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1352	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1353	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1354	#103	C₂³×C₂₃	1	1	yes	characteristic
1355	#103	C₂³×C₂₃	1	1	yes	characteristic
1356	#103	C₂³×C₂₃	1	1	yes	characteristic
1357	#103	C₂³×C₂₃	1	1	yes	characteristic
1358	#103	C₂³×C₂₃	1	1	yes	characteristic
1359	#103	C₂³×C₂₃	1	1	yes	characteristic
1360	#103	C₂³×C₂₃	1	1	yes	characteristic
1361	#103	C₂³×C₂₃	1	1	yes	characteristic
1362	#103	C₂³×C₂₃	1	1	yes	characteristic
1363	#103	C₂³×C₂₃	1	1	yes	characteristic
1364	#103	C₂³×C₂₃	1	1	yes	characteristic
1365	#103	C₂³×C₂₃	1	1	yes	characteristic
1366	#103	C₂³×C₂₃	1	1	yes	characteristic
1367	#103	C₂³×C₂₃	1	1	yes	characteristic
1368	#103	C₂³×C₂₃	1	1	yes	characteristic
1369	#103	C₂³×C₂₃	1	1	yes	characteristic
1370	#103	C₂³×C₂₃	1	1	yes	characteristic
1371	#103	C₂³×C₂₃	1	1	yes	characteristic
1372	#103	C₂³×C₂₃	1	1	yes	characteristic
1373	#103	C₂³×C₂₃	1	1	yes	characteristic
1374	#102	C₂³×C₂₃	1	1	yes	characteristic
1375	#102	C₂³×C₂₃	1	1	yes	characteristic
1376	#102	C₂³×C₂₃	1	1	yes	characteristic
1377	#102	C₂³×C₂₃	1	1	yes	characteristic
1378	#102	C₂³×C₂₃	1	1	yes	characteristic
1379	#102	C₂³×C₂₃	1	1	yes	characteristic
1380	#102	C₂³×C₂₃	1	1	yes	characteristic
1381	#102	C₂³×C₂₃	1	1	yes	characteristic
1382	#102	C₂³×C₂₃	1	1	yes	characteristic
1383	#102	C₂³×C₂₃	1	1	yes	characteristic
1384	#102	C₂³×C₂₃	1	1	yes	characteristic
1385	#102	C₂³×C₂₃	1	1	yes	characteristic
1386	#102	C₂³×C₂₃	1	1	yes	characteristic
1387	#102	C₂³×C₂₃	1	1	yes	characteristic
1388	#102	C₂³×C₂₃	1	1	yes	characteristic
1389	#102	C₂³×C₂₃	1	1	yes	characteristic
1390	#102	C₂³×C₂₃	1	1	yes	characteristic
1391	#102	C₂³×C₂₃	1	1	yes	characteristic
1392	#102	C₂³×C₂₃	1	1	yes	characteristic
1393	#102	C₂³×C₂₃	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1395	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1396	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1397	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1398	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1399	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1400	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1401	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1402	#97	C₂³×C₂₃	1	1	yes	characteristic
1403	#97	C₂³×C₂₃	1	1	yes	characteristic
1404	#97	C₂³×C₂₃	1	1	yes	characteristic
1405	#97	C₂³×C₂₃	1	1	yes	characteristic
1406	C₂₃	#61141	1	1	yes	characteristic, direct product factor, Sylow
1407	C₂⁴	—	2	1	no	—
1408	C₂⁴	—	2	1	no	—
1409	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1410	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1411	#41	—	2	2	no	—
1412	#41	—	2	2	no	—
1413	#41	—	2	2	no	—
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	2	2	no	—
1419	#41	—	2	2	no	—
1420	#41	—	2	2	no	—
1421	#41	—	2	2	no	—
1422	#41	—	4	4	no	—
1423	#41	—	4	4	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	1	no	—
1426	#41	—	4	1	no	—
1427	#41	—	4	1	no	—
1428	#41	—	4	4	no	—
1429	#41	—	4	4	no	—
1430	#41	—	4	4	no	—
1431	#41	#41×C₂₃	1	4	yes	complemented
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	2	1	no	—
1435	C₂×Q₈	—	2	1	no	—
1436	C₂×Q₈	—	2	2	no	—
1437	C₂×Q₈	—	2	2	no	—
1438	C₂×Q₈	—	4	1	no	—
1439	C₂×Q₈	—	4	1	no	—
1440	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1441	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1442	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1443	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	2	no	—
1446	C₂×D₄	—	2	2	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	4	1	no	—
1467	C₂×D₄	—	4	1	no	—
1468	C₂×D₄	—	4	2	no	—
1469	C₂×D₄	—	4	4	no	—
1470	C₂×D₄	—	4	4	no	—
1471	C₂×D₄	—	4	4	no	—
1472	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1473	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1474	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1475	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1476	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1477	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1478	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1479	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	2	no	—
1482	C₂²×C₄	—	2	2	no	—
1483	C₂²×C₄	—	2	2	no	—
1484	C₂²×C₄	—	2	2	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	—	4	4	no	—
1503	C₂²×C₄	—	4	4	no	—
1504	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
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	C₂⁴×C₂₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1514	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1515	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1516	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1517	Q₁₆	—	2	2	no	—
1518	Q₁₆	—	4	1	no	—
1519	Q₁₆	—	4	1	no	—
1520	SD₁₆	—	2	2	no	—
1521	SD₁₆	—	2	2	no	—
1522	SD₁₆	—	4	1	no	—
1523	SD₁₆	—	4	1	no	—
1524	SD₁₆	—	4	1	no	—
1525	SD₁₆	—	4	1	no	—
1526	D₈	—	2	2	no	—
1527	D₈	—	4	1	no	—
1528	D₈	—	4	1	no	—
1529	M₁₆	—	4	1	no	—
1530	M₁₆	—	4	1	no	—
1531	M₁₆	—	4	1	no	—
1532	M₁₆	—	4	1	no	—
1533	C₂×C₈	—	2	2	no	—
1534	C₂×C₈	—	2	2	no	—
1535	C₂×C₈	—	2	2	no	—
1536	C₂×C₈	—	2	2	no	—
1537	C₂×C₈	—	4	1	no	—
1538	C₂×C₈	—	4	1	no	—
1539	C₂×C₈	—	4	1	no	—
1540	C₂×C₈	—	4	1	no	—
1541	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1542	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1543	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1544	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1545	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1546	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1547	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1548	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1574	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1575	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1577	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1578	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1579	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1580	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1584	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	2	1	no	—
1628	C₄²	—	2	1	no	—
1629	C₄²	—	2	1	no	—
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	2	1	no	—
1634	C₄²	—	2	1	no	—
1635	C₄²	—	2	1	no	—
1636	C₄²	—	2	1	no	—
1637	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1638	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1639	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1640	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1641	C₂³	—	2	2	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	2	no	—
1644	C₂³	—	2	2	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	2	1	no	—
1648	C₂³	—	4	1	no	—
1649	C₂³	—	4	1	no	—
1650	C₂³	—	4	1	no	—
1651	C₂³	—	4	2	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	2	no	—
1654	C₂³	—	4	2	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	8	1	no	—
1657	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1658	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1659	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1660	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1661	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	4	2	no	—
1670	Q₈	—	4	2	no	—
1671	Q₈	—	4	2	no	—
1672	Q₈	—	8	1	no	—
1673	Q₈	C₂×#41×C₂₃	1	2	yes	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	4	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	4	1	no	—
1685	D₄	—	4	1	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	4	2	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	C₂×#41×C₂₃	1	2	yes	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	2	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	4	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	1	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1753	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1754	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1755	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1756	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1757	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1758	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1759	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1760	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1761	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1762	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1763	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1764	C₈	—	2	1	no	—
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	2	1	no	—
1770	C₈	—	2	1	no	—
1771	C₈	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	4	4	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	8	2	no	—
1799	C₂²	—	8	4	no	—
1800	C₂²	—	8	4	no	—
1801	C₂²	C₂₃×#546	1	2	yes	—
1802	C₂²	C₂₃×#575	1	2	yes	—
1803	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	4	1	no	—
1820	C₄	—	4	1	no	—
1821	C₄	—	4	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	C₂₃×#546	1	2	yes	—
1825	C₄	C₂²×#41×C₂₃	1	1	yes	characteristic
1826	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	1	no	—
1832	C₂	—	4	2	no	—
1833	C₂	—	8	1	no	—
1834	C₂	—	8	1	no	—
1835	C₂	—	8	1	no	—
1836	C₂	C₂×C₂₃×#546	1	1	yes	characteristic
1837	C₂	C₂×C₂₃×#575	1	1	yes	characteristic
1838	C₂	C₂₃×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3475	C₂	semidirect
2. D₄×#41×C₂₃	C₂	semidirect
3. C₂₃×#3321	C₂	semidirect
4. C₂₃×#3320	C₂	semidirect
5. C₂₃×#3319	C₂	semidirect
6. C₂₃×#3318	C₂	semidirect
7. C₂₃×#3317	C₂	semidirect
8. C₂₃×#3316	C₂	semidirect
9. C₂₃×#3315	C₂	semidirect
10. C₂₃×#3314	C₂	semidirect
11. C₂₃×#3313	C₂	semidirect
12. C₂₃×#3312	C₂	semidirect
13. C₂₃×#3311	C₂	semidirect
14. C₂₃×#3310	C₂	semidirect
15. C₂₃×#3309	C₂	semidirect
16. C₂₃×#3308	C₂	semidirect
17. C₂₃×#3307	C₂	semidirect
18. C₂₃×#3306	C₂	semidirect
19. C₂₃×#3135	C₂	semidirect
20. C₂₃×#3091	C₂	semidirect
21. C₂₃×#3091	C₂	semidirect
22. C₂₃×#3076	C₂	semidirect
23. C₂₃×#3054	C₂	semidirect
24. C₂₃×#3050	C₂	semidirect
25. C₂₃×#3035	C₂	semidirect
26. C₂₃×#3002	C₂	semidirect
27. C₂₃×#3002	C₂	semidirect
28. C₂₃×#2943	C₂	semidirect
29. C₂×C₂₃×#435	C₂	semidirect
30. C₂₃×#2896	C₂	semidirect
31. C₂×C₂₃×#416	C₂	semidirect
35. C₂×C₂₃×#135	C₂²	semidirect
36. C₂×C₂₃×#135	C₂²	semidirect
37. C₂²×M₁₆×C₂₃	C₂²	semidirect
38. C₂³×C₈×C₂₃	C₂²	semidirect
39. C₂₃×#556	C₂²	semidirect
40. C₂₃×#555	C₂²	semidirect
41. C₂₃×#554	C₂²	semidirect
43. C₂₃×#553	C₂²	semidirect
46. C₂₃×#552	C₂²	semidirect
55. C₂₃×#547	C₂²	semidirect
63. C₂₃×#533	C₂²	semidirect
73. C₂₃×#525	C₂²	semidirect
74. C₂₃×#525	C₂²	semidirect
77. C₄×#41×C₂₃	C₂²	semidirect
80. C₂×C₂₃×#117	C₂²	semidirect
81. C₂×C₂₃×#117	C₂²	semidirect
82. C₂₃×#491	C₂²	semidirect
83. C₂₃×#491	C₂²	semidirect
84. C₂₃×#490	C₂²	semidirect
85. C₂₃×#490	C₂²	semidirect
86. C₂₃×#489	C₂²	semidirect
87. C₂₃×#489	C₂²	semidirect
88. C₂₃×#489	C₂²	semidirect
89. C₂₃×#489	C₂²	semidirect
90. C₂₃×#485	C₂²	semidirect
91. C₂₃×#485	C₂²	semidirect
92. C₂₃×#485	C₂²	semidirect
93. C₂₃×#485	C₂²	semidirect
94. C₂₃×#484	C₂²	semidirect
95. C₂₃×#484	C₂²	semidirect
96. C₂₃×#483	C₂²	semidirect
97. C₂₃×#483	C₂²	semidirect
98. C₂₃×#482	C₂²	semidirect
99. C₂₃×#482	C₂²	semidirect
100. C₂₃×#482	C₂²	semidirect
101. C₂₃×#482	C₂²	semidirect
102. C₂₃×#481	C₂²	semidirect
103. C₂₃×#481	C₂²	semidirect
104. C₂₃×#480	C₂²	semidirect
105. C₂₃×#480	C₂²	semidirect
106. C₂₃×#479	C₂²	semidirect
107. C₂₃×#479	C₂²	semidirect
108. C₂₃×#478	C₂²	semidirect
109. C₂₃×#478	C₂²	semidirect
110. C₂₃×#477	C₂²	semidirect
111. C₂₃×#476	C₂²	semidirect
112. C₂₃×#475	C₂²	semidirect
113. C₂₃×#474	C₂²	semidirect
114. C₂₃×#470	C₂²	semidirect
115. C₂₃×#470	C₂²	semidirect
116. C₂₃×#469	C₂²	semidirect
117. C₂₃×#469	C₂²	semidirect
118. C₂₃×#468	C₂²	semidirect
119. C₂₃×#468	C₂²	semidirect
120. C₂₃×#468	C₂²	semidirect
121. C₂₃×#468	C₂²	semidirect
122. C₂₃×#467	C₂²	semidirect
123. C₂₃×#467	C₂²	semidirect
124. C₂₃×#466	C₂²	semidirect
125. C₂₃×#466	C₂²	semidirect
126. C₂₃×#465	C₂²	semidirect
127. C₂₃×#465	C₂²	semidirect
128. C₂₃×#465	C₂²	semidirect
129. C₂₃×#465	C₂²	semidirect
130. C₂₃×#464	C₂²	semidirect
131. C₂₃×#464	C₂²	semidirect
132. C₂₃×#463	C₂²	semidirect
133. C₂₃×#463	C₂²	semidirect
134. C₂₃×#462	C₂²	semidirect
135. C₂₃×#461	C₂²	semidirect
136. C₂₃×#460	C₂²	semidirect
137. C₂₃×#459	C₂²	semidirect
138. C₂₃×#452	C₂²	semidirect
139. C₂₃×#452	C₂²	semidirect
140. C₂₃×#452	C₂²	semidirect
141. C₂₃×#452	C₂²	semidirect
142. C₂₃×#451	C₂²	semidirect
143. C₂₃×#451	C₂²	semidirect
144. C₂₃×#450	C₂²	semidirect
145. C₂₃×#450	C₂²	semidirect
146. C₂₃×#449	C₂²	semidirect
147. C₂₃×#449	C₂²	semidirect
148. C₂₃×#449	C₂²	semidirect
149. C₂₃×#449	C₂²	semidirect
150. C₂₃×#448	C₂²	semidirect
151. C₂₃×#448	C₂²	semidirect
152. C₂₃×#447	C₂²	semidirect
153. C₂₃×#447	C₂²	semidirect
154. C₂₃×#442	C₂²	semidirect
155. C₂₃×#442	C₂²	semidirect
156. C₂₃×#441	C₂²	semidirect
157. C₂₃×#441	C₂²	semidirect
158. C₂₃×#440	C₂²	semidirect
159. C₂₃×#440	C₂²	semidirect
160. C₂₃×#440	C₂²	semidirect
161. C₂₃×#440	C₂²	semidirect
164. C₂₃×#435	C₂²	semidirect
165. C₂₃×#435	C₂²	semidirect
166. C₂₃×#435	C₂²	semidirect
167. C₂₃×#435	C₂²	semidirect
168. C₂₃×#435	C₂²	semidirect
169. C₂₃×#435	C₂²	semidirect
170. C₂₃×#427	C₂²	semidirect
171. C₂₃×#427	C₂²	semidirect
172. C₂₃×#427	C₂²	semidirect
173. C₂×C₂₃×C₄⋊C₈	C₂²	semidirect
174. C₂₃×#419	C₂²	semidirect
175. C₂₃×#419	C₂²	semidirect
176. C₂₃×#418	C₂²	semidirect
177. C₂₃×#418	C₂²	semidirect
178. C₂₃×#417	C₂²	semidirect
179. C₂₃×#417	C₂²	semidirect
180. C₂₃×#417	C₂²	semidirect
181. C₂₃×#417	C₂²	semidirect
185. C₂₃×#416	C₂²	semidirect
186. C₂₃×#416	C₂²	semidirect
187. C₂₃×#416	C₂²	semidirect
188. C₂₃×#416	C₂²	semidirect
189. C₂₃×#416	C₂²	semidirect
190. C₂₃×#416	C₂²	semidirect
191. C₂₃×#416	C₂²	semidirect
192. C₂₃×#416	C₂²	semidirect
193. C₂₃×#416	C₂²	semidirect
194. C₂₃×#416	C₂²	semidirect
195. C₂₃×#416	C₂²	semidirect
196. C₂×C₂₃×#103	C₂²	semidirect
197. C₂×C₂₃×#103	C₂²	semidirect
198. C₂×C₂₃×#102	C₂²	semidirect
199. C₂×C₂₃×#102	C₂²	semidirect
200. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
201. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₂₃×#97	C₂²	semidirect
511. #41×C₂₃	#41	semidirect
721. #61141	C₂₃	direct (N × H)
853. #3475	C₂×C₂₃	semidirect
854. D₄×#41	C₂×C₂₃	semidirect
855. #3321	C₂×C₂₃	semidirect
856. #3320	C₂×C₂₃	semidirect
857. #3319	C₂×C₂₃	semidirect
858. #3318	C₂×C₂₃	semidirect
859. #3317	C₂×C₂₃	semidirect
860. #3316	C₂×C₂₃	semidirect
861. #3315	C₂×C₂₃	semidirect
862. #3314	C₂×C₂₃	semidirect
863. #3313	C₂×C₂₃	semidirect
864. #3312	C₂×C₂₃	semidirect
865. #3311	C₂×C₂₃	semidirect
866. #3310	C₂×C₂₃	semidirect
867. #3309	C₂×C₂₃	semidirect
868. #3308	C₂×C₂₃	semidirect
869. #3307	C₂×C₂₃	semidirect
870. #3306	C₂×C₂₃	semidirect
871. #3135	C₂×C₂₃	semidirect
872. #3091	C₂×C₂₃	semidirect
873. #3091	C₂×C₂₃	semidirect
874. #3076	C₂×C₂₃	semidirect
875. #3054	C₂×C₂₃	semidirect
876. #3050	C₂×C₂₃	semidirect
877. #3035	C₂×C₂₃	semidirect
878. #3002	C₂×C₂₃	semidirect
879. #3002	C₂×C₂₃	semidirect
880. #2943	C₂×C₂₃	semidirect
881. C₂×#435	C₂×C₂₃	semidirect
882. #2896	C₂×C₂₃	semidirect
883. C₂×#416	C₂×C₂₃	semidirect
942. C₂×#135	C₂²×C₂₃	semidirect
943. C₂×#135	C₂²×C₂₃	semidirect
944. C₂²×M₁₆	C₂²×C₂₃	semidirect
945. C₂³×C₈	C₂²×C₂₃	semidirect
946. #556	C₂²×C₂₃	semidirect
947. #555	C₂²×C₂₃	semidirect
948. #554	C₂²×C₂₃	semidirect
950. #553	C₂²×C₂₃	semidirect
953. #552	C₂²×C₂₃	semidirect
962. #547	C₂²×C₂₃	semidirect
970. #533	C₂²×C₂₃	semidirect
980. #525	C₂²×C₂₃	semidirect
981. #525	C₂²×C₂₃	semidirect
984. C₄×#41	C₂²×C₂₃	semidirect
987. C₂×#117	C₂²×C₂₃	semidirect
988. C₂×#117	C₂²×C₂₃	semidirect
989. #491	C₂²×C₂₃	semidirect
990. #491	C₂²×C₂₃	semidirect
991. #490	C₂²×C₂₃	semidirect
992. #490	C₂²×C₂₃	semidirect
993. #489	C₂²×C₂₃	semidirect
994. #489	C₂²×C₂₃	semidirect
995. #489	C₂²×C₂₃	semidirect
996. #489	C₂²×C₂₃	semidirect
997. #485	C₂²×C₂₃	semidirect
998. #485	C₂²×C₂₃	semidirect
999. #485	C₂²×C₂₃	semidirect
1000. #485	C₂²×C₂₃	semidirect
1001. #484	C₂²×C₂₃	semidirect
1002. #484	C₂²×C₂₃	semidirect
1003. #483	C₂²×C₂₃	semidirect
1004. #483	C₂²×C₂₃	semidirect
1005. #482	C₂²×C₂₃	semidirect
1006. #482	C₂²×C₂₃	semidirect
1007. #482	C₂²×C₂₃	semidirect
1008. #482	C₂²×C₂₃	semidirect
1009. #481	C₂²×C₂₃	semidirect
1010. #481	C₂²×C₂₃	semidirect
1011. #480	C₂²×C₂₃	semidirect
1012. #480	C₂²×C₂₃	semidirect
1013. #479	C₂²×C₂₃	semidirect
1014. #479	C₂²×C₂₃	semidirect
1015. #478	C₂²×C₂₃	semidirect
1016. #478	C₂²×C₂₃	semidirect
1017. #477	C₂²×C₂₃	semidirect
1018. #476	C₂²×C₂₃	semidirect
1019. #475	C₂²×C₂₃	semidirect
1020. #474	C₂²×C₂₃	semidirect
1021. #470	C₂²×C₂₃	semidirect
1022. #470	C₂²×C₂₃	semidirect
1023. #469	C₂²×C₂₃	semidirect
1024. #469	C₂²×C₂₃	semidirect
1025. #468	C₂²×C₂₃	semidirect
1026. #468	C₂²×C₂₃	semidirect
1027. #468	C₂²×C₂₃	semidirect
1028. #468	C₂²×C₂₃	semidirect
1029. #467	C₂²×C₂₃	semidirect
1030. #467	C₂²×C₂₃	semidirect
1031. #466	C₂²×C₂₃	semidirect
1032. #466	C₂²×C₂₃	semidirect
1033. #465	C₂²×C₂₃	semidirect
1034. #465	C₂²×C₂₃	semidirect
1035. #465	C₂²×C₂₃	semidirect
1036. #465	C₂²×C₂₃	semidirect
1037. #464	C₂²×C₂₃	semidirect
1038. #464	C₂²×C₂₃	semidirect
1039. #463	C₂²×C₂₃	semidirect
1040. #463	C₂²×C₂₃	semidirect
1041. #462	C₂²×C₂₃	semidirect
1042. #461	C₂²×C₂₃	semidirect
1043. #460	C₂²×C₂₃	semidirect
1044. #459	C₂²×C₂₃	semidirect
1045. #452	C₂²×C₂₃	semidirect
1046. #452	C₂²×C₂₃	semidirect
1047. #452	C₂²×C₂₃	semidirect
1048. #452	C₂²×C₂₃	semidirect
1049. #451	C₂²×C₂₃	semidirect
1050. #451	C₂²×C₂₃	semidirect
1051. #450	C₂²×C₂₃	semidirect
1052. #450	C₂²×C₂₃	semidirect
1053. #449	C₂²×C₂₃	semidirect
1054. #449	C₂²×C₂₃	semidirect
1055. #449	C₂²×C₂₃	semidirect
1056. #449	C₂²×C₂₃	semidirect
1057. #448	C₂²×C₂₃	semidirect
1058. #448	C₂²×C₂₃	semidirect
1059. #447	C₂²×C₂₃	semidirect
1060. #447	C₂²×C₂₃	semidirect
1061. #442	C₂²×C₂₃	semidirect
1062. #442	C₂²×C₂₃	semidirect
1063. #441	C₂²×C₂₃	semidirect
1064. #441	C₂²×C₂₃	semidirect
1065. #440	C₂²×C₂₃	semidirect
1066. #440	C₂²×C₂₃	semidirect
1067. #440	C₂²×C₂₃	semidirect
1068. #440	C₂²×C₂₃	semidirect
1071. #435	C₂²×C₂₃	semidirect
1072. #435	C₂²×C₂₃	semidirect
1073. #435	C₂²×C₂₃	semidirect
1074. #435	C₂²×C₂₃	semidirect
1075. #435	C₂²×C₂₃	semidirect
1076. #435	C₂²×C₂₃	semidirect
1077. #427	C₂²×C₂₃	semidirect
1078. #427	C₂²×C₂₃	semidirect
1079. #427	C₂²×C₂₃	semidirect
1080. C₂×C₄⋊C₈	C₂²×C₂₃	semidirect
1081. #419	C₂²×C₂₃	semidirect
1082. #419	C₂²×C₂₃	semidirect
1083. #418	C₂²×C₂₃	semidirect
1084. #418	C₂²×C₂₃	semidirect
1085. #417	C₂²×C₂₃	semidirect
1086. #417	C₂²×C₂₃	semidirect
1087. #417	C₂²×C₂₃	semidirect
1088. #417	C₂²×C₂₃	semidirect
1092. #416	C₂²×C₂₃	semidirect
1093. #416	C₂²×C₂₃	semidirect
1094. #416	C₂²×C₂₃	semidirect
1095. #416	C₂²×C₂₃	semidirect
1096. #416	C₂²×C₂₃	semidirect
1097. #416	C₂²×C₂₃	semidirect
1098. #416	C₂²×C₂₃	semidirect
1099. #416	C₂²×C₂₃	semidirect
1100. #416	C₂²×C₂₃	semidirect
1101. #416	C₂²×C₂₃	semidirect
1102. #416	C₂²×C₂₃	semidirect
1103. C₂×#103	C₂²×C₂₃	semidirect
1104. C₂×#103	C₂²×C₂₃	semidirect
1105. C₂×#102	C₂²×C₂₃	semidirect
1106. C₂×#102	C₂²×C₂₃	semidirect
1107. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1108. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1109. C₂×#97	C₂²×C₂₃	semidirect
1406. C₂₃	#61141	direct (N × H)
1431. #41	#41×C₂₃	semidirect

Maximal subgroups

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

subgroup	index
C₂₃×#3475	2
D₄×#41×C₂₃	2
C₂₃×#3321	2
C₂₃×#3320	2
C₂₃×#3319	2
C₂₃×#3318	2
C₂₃×#3317	2
C₂₃×#3316	2
C₂₃×#3315	2
C₂₃×#3314	2
C₂₃×#3313	2
C₂₃×#3312	2
C₂₃×#3311	2
C₂₃×#3310	2
C₂₃×#3309	2
C₂₃×#3308	2
C₂₃×#3307	2
C₂₃×#3306	2
C₂₃×#3135	2
C₂₃×#3091	2
C₂₃×#3076	2
C₂₃×#3054	2
C₂₃×#3050	2
C₂₃×#3035	2
C₂₃×#3002	2
C₂₃×#2943	2
C₂×C₂₃×#435	2
C₂₃×#2896	2
C₂×C₂₃×#416	2
#61141	23

Subgroups — C23×#61141 #19208767

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61141 #19208767