Subgroups — C₂₃×#61441 #19209067

Order 5888.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₂₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₂₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
33	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic
35	C₂₃×#559	—	2	1	no	—
36	C₂₃×#559	C₂²	1	1	yes	characteristic, complemented
37	C₂₃×#557	C₂²	1	1	yes	characteristic, complemented
38	C₂₃×#556	—	2	1	no	—
39	C₂₃×#556	C₂²	1	1	yes	characteristic
40	C₂₃×#556	C₂²	1	1	yes	characteristic
41	C₂₃×#555	C₂²	1	1	yes	characteristic
42	C₂₃×#554	C₂²	1	1	yes	characteristic
43	C₂₃×#553	—	2	1	no	—
44	C₂₃×#553	—	2	1	no	—
45	C₂₃×#553	—	2	1	no	—
46	C₂₃×#553	C₂²	1	1	yes	characteristic
47	C₂₃×#553	C₂²	1	1	yes	characteristic, complemented
48	C₂₃×#552	—	2	1	no	—
49	C₂₃×#552	C₂²	1	1	yes	characteristic
50	C₂₃×#552	C₂²	1	1	yes	characteristic
51	C₂₃×#551	—	2	1	no	—
52	C₂₃×#551	—	2	1	no	—
53	C₂₃×#550	C₂²	1	1	yes	characteristic
54	C₂₃×#548	C₂²	1	1	yes	characteristic
55	C₂₃×#548	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#547	C₂²	1	1	yes	characteristic
57	C₂₃×#546	C₂²	1	1	yes	characteristic
58	C₂₃×#546	C₂²	1	1	yes	characteristic
59	C₂₃×#533	C₂²	1	1	yes	characteristic
60	C₂₃×#532	—	2	1	no	—
61	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
62	C₂₃×#529	—	2	1	no	—
63	C₂₃×#529	—	2	1	no	—
64	C₂₃×#529	—	2	1	no	—
65	C₂₃×#529	—	2	1	no	—
66	C₂₃×#529	C₂²	1	1	yes	characteristic
67	C₂₃×#529	C₂²	1	1	yes	characteristic
68	C₂₃×#529	C₂²	1	1	yes	characteristic
69	C₂₃×#529	C₂²	1	1	yes	characteristic, complemented
70	C₂₃×#525	—	2	1	no	—
71	C₄×#41×C₂₃	—	2	1	no	—
72	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
73	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
74	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
75	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
76	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
79	C₂×C₂₃×#117	—	2	1	no	—
80	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#501	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#497	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#496	C₂²	1	1	yes	characteristic
85	C₂₃×#495	C₂²	1	1	yes	characteristic
86	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#490	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#489	C₂²	1	1	yes	characteristic
89	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#488	C₂²	1	1	yes	characteristic
91	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
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×#484	C₂²	1	1	yes	characteristic
97	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#482	C₂²	1	1	yes	characteristic
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
103	C₂₃×#480	C₂²	1	1	yes	characteristic
104	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#479	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
109	C₂₃×#478	C₂²	1	1	yes	characteristic
110	C₂₃×#478	C₂²	1	1	yes	characteristic
111	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#477	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#476	C₂²	1	1	yes	characteristic
114	C₂₃×#475	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#474	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#470	C₂²	1	1	yes	characteristic
117	C₂₃×#470	C₂²	1	1	yes	characteristic
118	C₂₃×#469	C₂²	1	1	yes	characteristic
119	C₂₃×#469	C₂²	1	1	yes	characteristic
120	C₂₃×#468	C₂²	1	1	yes	characteristic
121	C₂₃×#468	C₂²	1	1	yes	characteristic
122	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#466	C₂²	1	1	yes	characteristic
126	C₂₃×#465	C₂²	1	1	yes	characteristic
127	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#464	C₂²	1	1	yes	characteristic
129	C₂₃×#464	C₂²	1	1	yes	characteristic
130	C₂₃×#464	C₂²	1	1	yes	characteristic
131	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#463	C₂²	1	1	yes	characteristic
133	C₂₃×#463	C₂²	1	1	yes	characteristic
134	C₂₃×#463	C₂²	1	1	yes	characteristic
135	C₂₃×#463	C₂²	1	1	yes	characteristic
136	C₂₃×#462	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#460	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#459	C₂²	1	1	yes	characteristic
140	C₂₃×#452	C₂²	1	1	yes	characteristic
141	C₂₃×#452	C₂²	1	1	yes	characteristic
142	C₂₃×#452	C₂²	1	1	yes	characteristic
143	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#450	C₂²	1	1	yes	characteristic
146	C₂₃×#449	C₂²	1	1	yes	characteristic
147	C₂₃×#449	C₂²	1	1	yes	characteristic
148	C₂₃×#449	C₂²	1	1	yes	characteristic
149	C₂₃×#449	C₂²	1	1	yes	characteristic
150	C₂₃×#448	C₂²	1	1	yes	characteristic
151	C₂₃×#447	C₂²	1	1	yes	characteristic
152	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#442	C₂²	1	1	yes	characteristic
155	C₂₃×#442	C₂²	1	1	yes	characteristic
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
159	C₂₃×#440	C₂²	1	1	yes	characteristic
160	C₂₃×#440	C₂²	1	1	yes	characteristic
161	C₂₃×#440	C₂²	1	1	yes	characteristic
162	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
163	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
164	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
165	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
166	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
167	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
168	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
169	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
170	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
171	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
172	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
179	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
180	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic
182	C₂₃×#436	C₂²	1	1	yes	characteristic
183	C₂₃×#436	C₂²	1	1	yes	characteristic
184	C₂₃×#435	C₂²	1	1	yes	characteristic
185	C₂₃×#435	C₂²	1	1	yes	characteristic
186	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₂₃×#431	C₂²	1	1	yes	characteristic
189	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
190	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#428	C₂²	1	1	yes	characteristic
192	C₂₃×#428	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#427	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#418	C₂²	1	1	yes	characteristic
196	C₂₃×#417	C₂²	1	1	yes	characteristic
197	C₂₃×#417	C₂²	1	1	yes	characteristic
198	C₂₃×#416	C₂²	1	1	yes	characteristic
199	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
200	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic
201	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₂₃	—	2	1	no	—
204	C₂×#41×C₂₃	D₄	1	1	yes	characteristic
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	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₂₃	—	2	1	no	—
212	C₂₃×#137	—	2	4	no	—
213	C₂₃×AGL(1,ℤ/8)	—	2	4	no	—
214	C₂₃×#135	—	2	4	no	—
215	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
233	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
237	C₂₃×C₄⋊Q₈	—	2	1	no	—
238	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₂₃×#127	—	2	1	no	—
242	C₂₃×#127	C₂³	1	1	yes	characteristic
243	C₂₃×#126	—	2	1	no	—
244	C₂₃×#126	—	2	1	no	—
245	C₂₃×#126	—	2	1	no	—
246	C₂₃×#126	—	2	1	no	—
247	C₂₃×#126	—	2	1	no	—
248	C₂₃×#126	—	2	1	no	—
249	C₂₃×#126	—	2	1	no	—
250	C₂₃×#126	—	2	1	no	—
251	C₂₃×#126	—	2	1	no	—
252	C₂₃×#126	—	2	1	no	—
253	C₂₃×#126	—	2	1	no	—
254	C₂₃×#126	—	2	1	no	—
255	C₂₃×#125	—	2	1	no	—
256	C₂₃×#125	—	2	1	no	—
257	C₂₃×#125	—	2	1	no	—
258	C₂₃×#125	—	2	1	no	—
259	C₂₃×#125	—	2	1	no	—
260	C₂₃×#125	C₂³	1	1	yes	characteristic
261	C₂₃×#125	C₂³	1	1	yes	characteristic
262	C₂₃×#125	C₂³	1	1	yes	characteristic
263	C₂₃×#125	C₂³	1	1	yes	characteristic
264	C₂₃×#124	—	2	1	no	—
265	C₂₃×#124	—	2	1	no	—
266	C₂₃×#124	—	2	1	no	—
267	C₂₃×#124	—	2	1	no	—
268	C₂₃×#124	—	2	1	no	—
269	C₂₃×#124	—	2	1	no	—
270	C₂₃×#124	—	2	1	no	—
271	C₂₃×#124	C₂³	1	1	yes	characteristic
272	C₂₃×#124	C₂³	1	1	yes	characteristic
273	C₂₃×#124	C₂³	1	1	yes	characteristic
274	C₂₃×#124	C₂³	1	1	yes	characteristic
275	C₂₃×#123	—	2	1	no	—
276	C₂₃×#123	—	2	1	no	—
277	C₂₃×#123	—	2	1	no	—
278	C₂₃×#123	—	2	1	no	—
279	C₂₃×#123	—	2	1	no	—
280	C₂₃×#123	—	2	1	no	—
281	C₂₃×#123	—	2	1	no	—
282	C₂₃×#123	—	2	1	no	—
283	C₂₃×#123	—	2	1	no	—
284	C₂₃×#123	—	2	1	no	—
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×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	—	2	1	no	—
294	C₂₃×C₂²⋊Q₈	—	2	1	no	—
295	C₂₃×C₂²⋊Q₈	—	2	1	no	—
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×#121	—	2	1	no	—
303	C₂₃×#121	—	2	1	no	—
304	C₂₃×#121	—	2	1	no	—
305	C₂₃×#121	—	2	1	no	—
306	C₂₃×#121	—	2	1	no	—
307	C₂₃×#121	—	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	—	2	1	no	—
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	C₄×Q₈×C₂₃	—	2	1	no	—
322	C₄×Q₈×C₂₃	—	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	D₄	1	1	yes	characteristic
327	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
330	C₄×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×Q₈×C₂₃	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
351	C₄×D₄×C₂₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
360	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
361	C₄×D₄×C₂₃	D₄	1	1	yes	characteristic
362	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
375	C₂₃×#117	—	2	1	no	—
376	C₂₃×#117	—	2	1	no	—
377	C₂₃×#117	—	2	1	no	—
378	C₂₃×#117	—	2	1	no	—
379	C₂₃×#117	—	2	1	no	—
380	C₂₃×#117	—	2	1	no	—
381	C₂₃×#117	—	2	1	no	—
382	C₂₃×#117	—	2	1	no	—
383	C₂₃×#117	—	2	1	no	—
384	C₂₃×#117	—	2	1	no	—
385	C₂₃×#117	—	2	1	no	—
386	C₂₃×#117	—	2	1	no	—
387	C₂₃×#117	—	2	1	no	—
388	C₂₃×#117	D₄	1	1	yes	characteristic
389	C₂₃×#117	D₄	1	1	yes	characteristic
390	C₂₃×#117	D₄	1	1	yes	characteristic
391	C₂₃×#117	C₂³	1	1	yes	characteristic
392	C₂₃×#117	C₂³	1	1	yes	characteristic
393	C₂₃×#117	C₂³	1	1	yes	characteristic
394	C₂₃×#117	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
396	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
397	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
398	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
400	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
403	C₂×C₄²×C₂₃	—	2	1	no	—
404	C₂×C₄²×C₂₃	—	2	1	no	—
405	C₂×C₄²×C₂₃	—	2	1	no	—
406	C₂×C₄²×C₂₃	—	2	1	no	—
407	C₂×C₄²×C₂₃	—	2	1	no	—
408	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
410	C₂×C₄²×C₂₃	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×#107	C₂³	1	1	yes	characteristic
415	C₂₃×#107	C₂³	1	1	yes	characteristic
416	C₂₃×#107	C₂³	1	1	yes	characteristic
417	C₂₃×#107	C₂³	1	1	yes	characteristic
418	C₂₃×#107	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×#106	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×C₄⋊C₈	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×#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×#102	C₂³	1	1	yes	characteristic
450	C₂₃×#102	C₂³	1	1	yes	characteristic
451	C₂₃×#102	C₂³	1	1	yes	characteristic
452	C₂₃×#102	C₂³	1	1	yes	characteristic
453	C₂₃×#102	C₂³	1	1	yes	characteristic
454	C₂₃×#102	C₂³	1	1	yes	characteristic
455	C₂₃×#102	C₂³	1	1	yes	characteristic
456	C₂₃×#102	C₂³	1	1	yes	characteristic
457	C₂₃×#102	C₂³	1	1	yes	characteristic
458	C₂₃×#102	C₂³	1	1	yes	characteristic
459	C₂₃×#102	C₂³	1	1	yes	characteristic
460	C₂₃×#102	C₂³	1	1	yes	characteristic
461	C₂₃×#102	C₂³	1	1	yes	characteristic
462	C₂₃×#102	C₂³	1	1	yes	characteristic
463	C₂₃×#102	C₂³	1	1	yes	characteristic
464	C₂₃×#102	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×#97	C₂³	1	1	yes	characteristic
472	C₂₃×#97	C₂³	1	1	yes	characteristic
473	C₂₃×#97	C₂³	1	1	yes	characteristic
474	C₂₃×#97	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
481	C₂⁴×C₂₃	—	2	1	no	—
482	#41×C₂₃	—	2	2	no	—
483	#41×C₂₃	—	2	2	no	—
484	#41×C₂₃	—	2	2	no	—
485	#41×C₂₃	—	2	2	no	—
486	#41×C₂₃	—	4	2	no	—
487	#41×C₂₃	—	4	1	no	—
488	#41×C₂₃	—	4	1	no	—
489	#41×C₂₃	—	4	1	no	—
490	#41×C₂₃	—	4	1	no	—
491	#41×C₂₃	—	4	4	no	—
492	C₂×Q₈×C₂₃	—	2	1	no	—
493	C₂×Q₈×C₂₃	—	2	1	no	—
494	C₂×Q₈×C₂₃	—	2	1	no	—
495	C₂×Q₈×C₂₃	—	2	2	no	—
496	C₂×Q₈×C₂₃	—	4	1	no	—
497	C₂×Q₈×C₂₃	C₂×D₄	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×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₂₃	—	2	2	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	—	2	1	no	—
512	C₂×D₄×C₂₃	—	2	1	no	—
513	C₂×D₄×C₂₃	—	2	1	no	—
514	C₂×D₄×C₂₃	—	2	1	no	—
515	C₂×D₄×C₂₃	—	2	1	no	—
516	C₂×D₄×C₂₃	—	4	1	no	—
517	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₂₃	—	2	1	no	—
525	C₂²×C₄×C₂₃	—	2	1	no	—
526	C₂²×C₄×C₂₃	—	2	1	no	—
527	C₂²×C₄×C₂₃	—	2	1	no	—
528	C₂²×C₄×C₂₃	—	2	1	no	—
529	C₂²×C₄×C₂₃	—	2	1	no	—
530	C₂²×C₄×C₂₃	—	2	1	no	—
531	C₂²×C₄×C₂₃	—	2	1	no	—
532	C₂²×C₄×C₂₃	—	2	1	no	—
533	C₂²×C₄×C₂₃	—	2	1	no	—
534	C₂²×C₄×C₂₃	—	2	1	no	—
535	C₂²×C₄×C₂₃	—	2	1	no	—
536	C₂²×C₄×C₂₃	—	2	1	no	—
537	C₂²×C₄×C₂₃	—	2	1	no	—
538	C₂²×C₄×C₂₃	—	2	1	no	—
539	C₂²×C₄×C₂₃	—	2	1	no	—
540	C₂²×C₄×C₂₃	—	2	1	no	—
541	C₂²×C₄×C₂₃	—	4	4	no	—
542	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
551	Q₁₆×C₂₃	—	2	2	no	—
552	Q₁₆×C₂₃	—	2	2	no	—
553	Q₁₆×C₂₃	—	2	2	no	—
554	Q₁₆×C₂₃	—	4	1	no	—
555	SD₁₆×C₂₃	—	2	2	no	—
556	SD₁₆×C₂₃	—	2	2	no	—
557	SD₁₆×C₂₃	—	2	2	no	—
558	SD₁₆×C₂₃	—	4	1	no	—
559	SD₁₆×C₂₃	—	4	1	no	—
560	SD₁₆×C₂₃	—	4	1	no	—
561	SD₁₆×C₂₃	—	4	1	no	—
562	SD₁₆×C₂₃	#41	1	4	yes	complemented
563	D₈×C₂₃	—	2	2	no	—
564	D₈×C₂₃	—	2	2	no	—
565	D₈×C₂₃	—	2	2	no	—
566	D₈×C₂₃	—	4	1	no	—
567	M₁₆×C₂₃	—	2	2	no	—
568	M₁₆×C₂₃	—	2	2	no	—
569	M₁₆×C₂₃	—	4	1	no	—
570	M₁₆×C₂₃	—	4	1	no	—
571	C₂×C₈×C₂₃	—	2	2	no	—
572	C₂×C₈×C₂₃	—	4	1	no	—
573	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
609	C₄⋊C₄×C₂₃	—	2	1	no	—
610	C₄⋊C₄×C₂₃	—	2	1	no	—
611	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₂₃	C₂×D₄	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	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
625	C₂²⋊C₄×C₂₃	—	2	1	no	—
626	C₂²⋊C₄×C₂₃	—	2	1	no	—
627	C₂²⋊C₄×C₂₃	—	2	1	no	—
628	C₂²⋊C₄×C₂₃	—	2	1	no	—
629	C₂²⋊C₄×C₂₃	—	2	1	no	—
630	C₂²⋊C₄×C₂₃	—	2	1	no	—
631	C₂²⋊C₄×C₂₃	—	2	1	no	—
632	C₂²⋊C₄×C₂₃	—	2	1	no	—
633	C₂²⋊C₄×C₂₃	—	2	1	no	—
634	C₂²⋊C₄×C₂₃	—	2	1	no	—
635	C₂²⋊C₄×C₂₃	—	2	1	no	—
636	C₂²⋊C₄×C₂₃	—	2	1	no	—
637	C₂²⋊C₄×C₂₃	—	2	1	no	—
638	C₂²⋊C₄×C₂₃	—	2	1	no	—
639	C₂²⋊C₄×C₂₃	—	2	1	no	—
640	C₂²⋊C₄×C₂₃	—	2	1	no	—
641	C₂²⋊C₄×C₂₃	—	2	1	no	—
642	C₂²⋊C₄×C₂₃	—	2	1	no	—
643	C₂²⋊C₄×C₂₃	—	2	1	no	—
644	C₂²⋊C₄×C₂₃	—	2	1	no	—
645	C₂²⋊C₄×C₂₃	—	2	1	no	—
646	C₂²⋊C₄×C₂₃	—	2	1	no	—
647	C₂²⋊C₄×C₂₃	—	2	1	no	—
648	C₂²⋊C₄×C₂₃	—	2	1	no	—
649	C₂²⋊C₄×C₂₃	—	2	1	no	—
650	C₂²⋊C₄×C₂₃	—	2	1	no	—
651	C₂²⋊C₄×C₂₃	—	2	1	no	—
652	C₂²⋊C₄×C₂₃	—	2	1	no	—
653	C₂²⋊C₄×C₂₃	—	2	1	no	—
654	C₂²⋊C₄×C₂₃	—	2	1	no	—
655	C₂²⋊C₄×C₂₃	—	2	1	no	—
656	C₂²⋊C₄×C₂₃	—	2	1	no	—
657	C₂²⋊C₄×C₂₃	—	2	1	no	—
658	C₂²⋊C₄×C₂₃	—	2	1	no	—
659	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₂₃	—	2	1	no	—
666	C₄²×C₂₃	—	2	1	no	—
667	C₄²×C₂₃	—	2	1	no	—
668	C₄²×C₂₃	—	2	1	no	—
669	C₄²×C₂₃	—	2	1	no	—
670	C₄²×C₂₃	—	2	1	no	—
671	C₄²×C₂₃	—	2	1	no	—
672	C₄²×C₂₃	—	2	1	no	—
673	C₄²×C₂₃	—	2	1	no	—
674	C₄²×C₂₃	—	2	1	no	—
675	C₄²×C₂₃	—	2	1	no	—
676	C₄²×C₂₃	—	2	1	no	—
677	C₄²×C₂₃	—	2	1	no	—
678	C₄²×C₂₃	—	2	1	no	—
679	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
686	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
687	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
688	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
689	#61441	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
690	C₂³×C₂₃	—	2	1	no	—
691	C₂³×C₂₃	—	2	1	no	—
692	C₂³×C₂₃	—	2	1	no	—
693	C₂³×C₂₃	—	2	1	no	—
694	C₂³×C₂₃	—	4	2	no	—
695	C₂³×C₂₃	—	4	2	no	—
696	C₂³×C₂₃	—	8	1	no	—
697	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
698	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
700	Q₈×C₂₃	—	2	1	no	—
701	Q₈×C₂₃	—	2	1	no	—
702	Q₈×C₂₃	—	2	1	no	—
703	Q₈×C₂₃	—	2	1	no	—
704	Q₈×C₂₃	—	2	1	no	—
705	Q₈×C₂₃	—	2	1	no	—
706	Q₈×C₂₃	—	2	1	no	—
707	Q₈×C₂₃	—	4	1	no	—
708	Q₈×C₂₃	—	4	2	no	—
709	Q₈×C₂₃	—	4	2	no	—
710	Q₈×C₂₃	—	8	1	no	—
711	Q₈×C₂₃	C₂×#41	1	2	yes	—
712	D₄×C₂₃	—	2	1	no	—
713	D₄×C₂₃	—	2	1	no	—
714	D₄×C₂₃	—	2	1	no	—
715	D₄×C₂₃	—	2	1	no	—
716	D₄×C₂₃	—	2	1	no	—
717	D₄×C₂₃	—	2	1	no	—
718	D₄×C₂₃	—	2	1	no	—
719	D₄×C₂₃	—	4	1	no	—
720	D₄×C₂₃	—	4	1	no	—
721	D₄×C₂₃	—	4	1	no	—
722	D₄×C₂₃	—	4	2	no	—
723	D₄×C₂₃	—	4	2	no	—
724	D₄×C₂₃	—	4	2	no	—
725	D₄×C₂₃	—	4	2	no	—
726	D₄×C₂₃	—	4	2	no	—
727	D₄×C₂₃	—	4	2	no	—
728	D₄×C₂₃	—	4	2	no	—
729	D₄×C₂₃	—	4	2	no	—
730	D₄×C₂₃	—	8	1	no	—
731	D₄×C₂₃	—	8	1	no	—
732	D₄×C₂₃	—	8	1	no	—
733	D₄×C₂₃	—	8	1	no	—
734	D₄×C₂₃	—	8	1	no	—
735	D₄×C₂₃	C₂×#41	1	2	yes	—
736	C₂×C₄×C₂₃	—	2	1	no	—
737	C₂×C₄×C₂₃	—	2	2	no	—
738	C₂×C₄×C₂₃	—	2	2	no	—
739	C₂×C₄×C₂₃	—	2	2	no	—
740	C₂×C₄×C₂₃	—	2	1	no	—
741	C₂×C₄×C₂₃	—	2	1	no	—
742	C₂×C₄×C₂₃	—	2	1	no	—
743	C₂×C₄×C₂₃	—	2	1	no	—
744	C₂×C₄×C₂₃	—	2	1	no	—
745	C₂×C₄×C₂₃	—	2	1	no	—
746	C₂×C₄×C₂₃	—	2	1	no	—
747	C₂×C₄×C₂₃	—	2	1	no	—
748	C₂×C₄×C₂₃	—	2	1	no	—
749	C₂×C₄×C₂₃	—	2	1	no	—
750	C₂×C₄×C₂₃	—	2	1	no	—
751	C₂×C₄×C₂₃	—	2	1	no	—
752	C₂×C₄×C₂₃	—	2	1	no	—
753	C₂×C₄×C₂₃	—	2	1	no	—
754	C₂×C₄×C₂₃	—	2	1	no	—
755	C₂×C₄×C₂₃	—	2	1	no	—
756	C₂×C₄×C₂₃	—	2	1	no	—
757	C₂×C₄×C₂₃	—	4	1	no	—
758	C₂×C₄×C₂₃	—	4	1	no	—
759	C₂×C₄×C₂₃	—	4	1	no	—
760	C₂×C₄×C₂₃	—	4	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	—	4	2	no	—
767	C₂×C₄×C₂₃	—	4	2	no	—
768	C₂×C₄×C₂₃	—	4	2	no	—
769	C₂×C₄×C₂₃	—	4	2	no	—
770	C₂×C₄×C₂₃	—	4	2	no	—
771	C₂×C₄×C₂₃	—	4	2	no	—
772	C₂×C₄×C₂₃	—	8	1	no	—
773	C₂×C₄×C₂₃	—	8	1	no	—
774	C₂×C₄×C₂₃	—	8	1	no	—
775	C₂×C₄×C₂₃	—	8	1	no	—
776	C₂×C₄×C₂₃	—	8	1	no	—
777	C₂×C₄×C₂₃	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	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
789	C₈×C₂₃	—	2	1	no	—
790	C₈×C₂₃	—	2	1	no	—
791	C₈×C₂₃	—	2	1	no	—
792	C₈×C₂₃	—	2	1	no	—
793	C₈×C₂₃	—	2	1	no	—
794	C₈×C₂₃	—	2	1	no	—
795	C₈×C₂₃	—	2	1	no	—
796	C₈×C₂₃	C₂×#41	1	2	yes	—
797	#3480	C₂×C₂₃	1	1	yes	characteristic, complemented
798	#3475	C₂×C₂₃	1	1	yes	characteristic, complemented
799	#3401	C₂×C₂₃	1	1	yes	characteristic, complemented
800	#3388	C₂×C₂₃	1	1	yes	characteristic, complemented
801	#3377	C₂×C₂₃	1	1	yes	characteristic, complemented
802	#3370	C₂×C₂₃	1	1	yes	characteristic, complemented
803	#3351	C₂×C₂₃	1	1	yes	characteristic, complemented
804	#3349	C₂×C₂₃	1	1	yes	characteristic, complemented
805	#3347	C₂×C₂₃	1	1	yes	characteristic, complemented
806	#3327	C₂×C₂₃	1	1	yes	characteristic, complemented
807	#3322	C₂×C₂₃	1	1	yes	characteristic, complemented
808	#3321	C₂×C₂₃	1	1	yes	characteristic, complemented
809	#3317	C₂×C₂₃	1	1	yes	characteristic, complemented
810	#3311	C₂×C₂₃	1	1	yes	characteristic, complemented
811	#3307	C₂×C₂₃	1	1	yes	characteristic, complemented
812	#3275	C₂×C₂₃	1	1	yes	characteristic, complemented
813	#3269	C₂×C₂₃	1	1	yes	characteristic, complemented
814	#3268	C₂×C₂₃	1	1	yes	characteristic, complemented
815	#3172	C₂×C₂₃	1	1	yes	characteristic, complemented
816	#3171	C₂×C₂₃	1	1	yes	characteristic, complemented
817	#3168	C₂×C₂₃	1	1	yes	characteristic, complemented
818	#3108	C₂×C₂₃	1	1	yes	characteristic, complemented
819	#3107	C₂×C₂₃	1	1	yes	characteristic, complemented
820	#3106	C₂×C₂₃	1	1	yes	characteristic, complemented
821	#3105	C₂×C₂₃	1	1	yes	characteristic, complemented
822	#3102	C₂×C₂₃	1	1	yes	characteristic, complemented
823	#3102	C₂×C₂₃	1	1	yes	characteristic, complemented
824	#2965	C₂×C₂₃	1	1	yes	characteristic, complemented
825	C₄×#137	C₂×C₂₃	1	1	yes	characteristic, complemented
826	C₄×AGL(1,ℤ/8)	C₂×C₂₃	1	1	yes	characteristic, complemented
827	C₄×#135	C₂×C₂₃	1	1	yes	characteristic, complemented
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	2	no	—
835	C₂²×C₂₃	—	2	1	no	—
836	C₂²×C₂₃	—	2	1	no	—
837	C₂²×C₂₃	—	2	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	—	4	1	no	—
843	C₂²×C₂₃	—	4	1	no	—
844	C₂²×C₂₃	—	4	1	no	—
845	C₂²×C₂₃	—	4	1	no	—
846	C₂²×C₂₃	—	4	1	no	—
847	C₂²×C₂₃	—	4	1	no	—
848	C₂²×C₂₃	—	4	1	no	—
849	C₂²×C₂₃	—	8	4	no	—
850	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
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	—	2	1	no	—
856	C₄×C₂₃	—	2	1	no	—
857	C₄×C₂₃	—	2	1	no	—
858	C₄×C₂₃	—	2	2	no	—
859	C₄×C₂₃	—	2	1	no	—
860	C₄×C₂₃	—	2	1	no	—
861	C₄×C₂₃	—	2	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	—	4	1	no	—
870	C₄×C₂₃	—	4	1	no	—
871	C₄×C₂₃	—	4	1	no	—
872	C₄×C₂₃	—	4	1	no	—
873	C₄×C₂₃	#575	1	2	yes	—
874	C₄×C₂₃	C₂²×#41	1	1	yes	characteristic
875	C₄×C₂₃	#585	1	1	yes	characteristic
876	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
877	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic
878	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic
879	#559	—	2	1	no	—
880	#559	C₂²×C₂₃	1	1	yes	characteristic, complemented
881	#557	C₂²×C₂₃	1	1	yes	characteristic, complemented
882	#556	—	2	1	no	—
883	#556	C₂²×C₂₃	1	1	yes	characteristic
884	#556	C₂²×C₂₃	1	1	yes	characteristic
885	#555	C₂²×C₂₃	1	1	yes	characteristic
886	#554	C₂²×C₂₃	1	1	yes	characteristic
887	#553	—	2	1	no	—
888	#553	—	2	1	no	—
889	#553	—	2	1	no	—
890	#553	C₂²×C₂₃	1	1	yes	characteristic
891	#553	C₂²×C₂₃	1	1	yes	characteristic, complemented
892	#552	—	2	1	no	—
893	#552	C₂²×C₂₃	1	1	yes	characteristic
894	#552	C₂²×C₂₃	1	1	yes	characteristic
895	#551	—	2	1	no	—
896	#551	—	2	1	no	—
897	#550	C₂²×C₂₃	1	1	yes	characteristic
898	#548	C₂²×C₂₃	1	1	yes	characteristic
899	#548	C₂²×C₂₃	1	1	yes	characteristic, complemented
900	#547	C₂²×C₂₃	1	1	yes	characteristic
901	#546	C₂²×C₂₃	1	1	yes	characteristic
902	#546	C₂²×C₂₃	1	1	yes	characteristic
903	#533	C₂²×C₂₃	1	1	yes	characteristic
904	#532	—	2	1	no	—
905	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
906	#529	—	2	1	no	—
907	#529	—	2	1	no	—
908	#529	—	2	1	no	—
909	#529	—	2	1	no	—
910	#529	C₂²×C₂₃	1	1	yes	characteristic
911	#529	C₂²×C₂₃	1	1	yes	characteristic
912	#529	C₂²×C₂₃	1	1	yes	characteristic
913	#529	C₂²×C₂₃	1	1	yes	characteristic, complemented
914	#525	—	2	1	no	—
915	C₄×#41	—	2	1	no	—
916	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
917	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
918	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
919	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
920	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
923	C₂×#117	—	2	1	no	—
924	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#501	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#499	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#497	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	#496	C₂²×C₂₃	1	1	yes	characteristic
929	#495	C₂²×C₂₃	1	1	yes	characteristic
930	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
931	#490	C₂²×C₂₃	1	1	yes	characteristic, complemented
932	#489	C₂²×C₂₃	1	1	yes	characteristic
933	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
934	#488	C₂²×C₂₃	1	1	yes	characteristic
935	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
936	#485	C₂²×C₂₃	1	1	yes	characteristic
937	#485	C₂²×C₂₃	1	1	yes	characteristic
938	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
939	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#484	C₂²×C₂₃	1	1	yes	characteristic
941	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#482	C₂²×C₂₃	1	1	yes	characteristic
943	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
946	#481	C₂²×C₂₃	1	1	yes	characteristic
947	#480	C₂²×C₂₃	1	1	yes	characteristic
948	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
950	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
951	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
952	#478	C₂²×C₂₃	1	1	yes	characteristic
953	#478	C₂²×C₂₃	1	1	yes	characteristic
954	#478	C₂²×C₂₃	1	1	yes	characteristic
955	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
956	#477	C₂²×C₂₃	1	1	yes	characteristic, complemented
957	#476	C₂²×C₂₃	1	1	yes	characteristic
958	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	#474	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	#470	C₂²×C₂₃	1	1	yes	characteristic
961	#470	C₂²×C₂₃	1	1	yes	characteristic
962	#469	C₂²×C₂₃	1	1	yes	characteristic
963	#469	C₂²×C₂₃	1	1	yes	characteristic
964	#468	C₂²×C₂₃	1	1	yes	characteristic
965	#468	C₂²×C₂₃	1	1	yes	characteristic
966	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
967	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
968	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	#466	C₂²×C₂₃	1	1	yes	characteristic
970	#465	C₂²×C₂₃	1	1	yes	characteristic
971	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	#464	C₂²×C₂₃	1	1	yes	characteristic
973	#464	C₂²×C₂₃	1	1	yes	characteristic
974	#464	C₂²×C₂₃	1	1	yes	characteristic
975	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
976	#463	C₂²×C₂₃	1	1	yes	characteristic
977	#463	C₂²×C₂₃	1	1	yes	characteristic
978	#463	C₂²×C₂₃	1	1	yes	characteristic
979	#463	C₂²×C₂₃	1	1	yes	characteristic
980	#462	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#460	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#459	C₂²×C₂₃	1	1	yes	characteristic
984	#452	C₂²×C₂₃	1	1	yes	characteristic
985	#452	C₂²×C₂₃	1	1	yes	characteristic
986	#452	C₂²×C₂₃	1	1	yes	characteristic
987	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#450	C₂²×C₂₃	1	1	yes	characteristic
990	#449	C₂²×C₂₃	1	1	yes	characteristic
991	#449	C₂²×C₂₃	1	1	yes	characteristic
992	#449	C₂²×C₂₃	1	1	yes	characteristic
993	#449	C₂²×C₂₃	1	1	yes	characteristic
994	#448	C₂²×C₂₃	1	1	yes	characteristic
995	#447	C₂²×C₂₃	1	1	yes	characteristic
996	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#442	C₂²×C₂₃	1	1	yes	characteristic
999	#442	C₂²×C₂₃	1	1	yes	characteristic
1000	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#440	C₂²×C₂₃	1	1	yes	characteristic
1003	#440	C₂²×C₂₃	1	1	yes	characteristic
1004	#440	C₂²×C₂₃	1	1	yes	characteristic
1005	#440	C₂²×C₂₃	1	1	yes	characteristic
1006	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1012	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1013	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1014	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1015	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1016	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
1022	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
1023	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
1024	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
1025	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic
1026	#436	C₂²×C₂₃	1	1	yes	characteristic
1027	#436	C₂²×C₂₃	1	1	yes	characteristic
1028	#435	C₂²×C₂₃	1	1	yes	characteristic
1029	#435	C₂²×C₂₃	1	1	yes	characteristic
1030	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#431	C₂²×C₂₃	1	1	yes	characteristic
1033	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#428	C₂²×C₂₃	1	1	yes	characteristic
1036	#428	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#427	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	#418	C₂²×C₂₃	1	1	yes	characteristic
1040	#417	C₂²×C₂₃	1	1	yes	characteristic
1041	#417	C₂²×C₂₃	1	1	yes	characteristic
1042	#416	C₂²×C₂₃	1	1	yes	characteristic
1043	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic
1045	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	C₂×C₄×C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1047	C₂×C₂₃	—	4	1	no	—
1048	C₂×C₂₃	—	4	1	no	—
1049	C₂×C₂₃	—	4	1	no	—
1050	C₂×C₂₃	—	4	2	no	—
1051	C₂×C₂₃	—	8	1	no	—
1052	C₂×C₂₃	—	8	1	no	—
1053	C₂×C₂₃	—	8	1	no	—
1054	C₂×C₂₃	D₄×#41	1	1	yes	characteristic
1055	C₂×C₂₃	C₂×#575	1	1	yes	characteristic
1056	C₂×C₂₃	#3584	1	1	yes	characteristic
1057	C₂×#41	—	2	1	no	—
1058	C₂×#41	D₄×C₂₃	1	1	yes	characteristic
1059	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1060	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1061	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1062	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1063	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂³×C₄	—	2	1	no	—
1066	#137	—	2	4	no	—
1067	AGL(1,ℤ/8)	—	2	4	no	—
1068	#135	—	2	4	no	—
1069	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1078	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1079	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1081	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1082	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1083	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1084	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1085	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1086	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1087	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1088	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1089	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1090	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1091	C₄⋊Q₈	—	2	1	no	—
1092	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1093	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1094	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1095	#127	—	2	1	no	—
1096	#127	C₂³×C₂₃	1	1	yes	characteristic
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	C₂³×C₂₃	1	1	yes	characteristic
1115	#125	C₂³×C₂₃	1	1	yes	characteristic
1116	#125	C₂³×C₂₃	1	1	yes	characteristic
1117	#125	C₂³×C₂₃	1	1	yes	characteristic
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	C₂³×C₂₃	1	1	yes	characteristic
1126	#124	C₂³×C₂₃	1	1	yes	characteristic
1127	#124	C₂³×C₂₃	1	1	yes	characteristic
1128	#124	C₂³×C₂₃	1	1	yes	characteristic
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
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	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	C₂³×C₂₃	1	1	yes	characteristic
1168	#121	C₂³×C₂₃	1	1	yes	characteristic
1169	#121	C₂³×C₂₃	1	1	yes	characteristic
1170	#121	C₂³×C₂₃	1	1	yes	characteristic
1171	#121	C₂³×C₂₃	1	1	yes	characteristic
1172	#121	C₂³×C₂₃	1	1	yes	characteristic
1173	#120	—	2	1	no	—
1174	#120	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	2	1	no	—
1179	C₄×Q₈	—	2	1	no	—
1180	C₄×Q₈	D₄×C₂₃	1	1	yes	characteristic
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	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1214	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1215	C₄×D₄	D₄×C₂₃	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	D₄×C₂₃	1	1	yes	characteristic
1243	#117	D₄×C₂₃	1	1	yes	characteristic
1244	#117	D₄×C₂₃	1	1	yes	characteristic
1245	#117	C₂³×C₂₃	1	1	yes	characteristic
1246	#117	C₂³×C₂₃	1	1	yes	characteristic
1247	#117	C₂³×C₂₃	1	1	yes	characteristic
1248	#117	C₂³×C₂₃	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	—	2	1	no	—
1250	C₂×C₄⋊C₄	—	2	1	no	—
1251	C₂×C₄⋊C₄	—	2	1	no	—
1252	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₄²	—	2	1	no	—
1258	C₂×C₄²	—	2	1	no	—
1259	C₂×C₄²	—	2	1	no	—
1260	C₂×C₄²	—	2	1	no	—
1261	C₂×C₄²	—	2	1	no	—
1262	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1263	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1264	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1265	#107	C₂³×C₂₃	1	1	yes	characteristic
1266	#107	C₂³×C₂₃	1	1	yes	characteristic
1267	#107	C₂³×C₂₃	1	1	yes	characteristic
1268	#107	C₂³×C₂₃	1	1	yes	characteristic
1269	#107	C₂³×C₂₃	1	1	yes	characteristic
1270	#107	C₂³×C₂₃	1	1	yes	characteristic
1271	#107	C₂³×C₂₃	1	1	yes	characteristic
1272	#107	C₂³×C₂₃	1	1	yes	characteristic
1273	#106	C₂³×C₂₃	1	1	yes	characteristic
1274	#106	C₂³×C₂₃	1	1	yes	characteristic
1275	#106	C₂³×C₂₃	1	1	yes	characteristic
1276	#106	C₂³×C₂₃	1	1	yes	characteristic
1277	#106	C₂³×C₂₃	1	1	yes	characteristic
1278	#106	C₂³×C₂₃	1	1	yes	characteristic
1279	#106	C₂³×C₂₃	1	1	yes	characteristic
1280	#106	C₂³×C₂₃	1	1	yes	characteristic
1281	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1282	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1287	#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	#103	C₂³×C₂₃	1	1	yes	characteristic
1302	#103	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	#102	C₂³×C₂₃	1	1	yes	characteristic
1312	#102	C₂³×C₂₃	1	1	yes	characteristic
1313	#102	C₂³×C₂₃	1	1	yes	characteristic
1314	#102	C₂³×C₂₃	1	1	yes	characteristic
1315	#102	C₂³×C₂₃	1	1	yes	characteristic
1316	#102	C₂³×C₂₃	1	1	yes	characteristic
1317	#102	C₂³×C₂₃	1	1	yes	characteristic
1318	#102	C₂³×C₂₃	1	1	yes	characteristic
1319	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	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1325	#97	C₂³×C₂₃	1	1	yes	characteristic
1326	#97	C₂³×C₂₃	1	1	yes	characteristic
1327	#97	C₂³×C₂₃	1	1	yes	characteristic
1328	#97	C₂³×C₂₃	1	1	yes	characteristic
1329	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1330	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1333	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1334	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1335	C₂₃	#61441	1	1	yes	characteristic, direct product factor, Sylow
1336	C₂⁴	—	2	1	no	—
1337	#41	—	2	2	no	—
1338	#41	—	2	2	no	—
1339	#41	—	2	2	no	—
1340	#41	—	2	2	no	—
1341	#41	—	4	2	no	—
1342	#41	—	4	1	no	—
1343	#41	—	4	1	no	—
1344	#41	—	4	1	no	—
1345	#41	—	4	1	no	—
1346	#41	—	4	4	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	2	2	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1356	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1357	C₂×D₄	—	2	2	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	4	1	no	—
1372	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1373	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1374	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1375	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1376	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1377	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1378	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	4	4	no	—
1397	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1406	Q₁₆	—	2	2	no	—
1407	Q₁₆	—	2	2	no	—
1408	Q₁₆	—	2	2	no	—
1409	Q₁₆	—	4	1	no	—
1410	SD₁₆	—	2	2	no	—
1411	SD₁₆	—	2	2	no	—
1412	SD₁₆	—	2	2	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	#41×C₂₃	1	4	yes	complemented
1418	D₈	—	2	2	no	—
1419	D₈	—	2	2	no	—
1420	D₈	—	2	2	no	—
1421	D₈	—	4	1	no	—
1422	M₁₆	—	2	2	no	—
1423	M₁₆	—	2	2	no	—
1424	M₁₆	—	4	1	no	—
1425	M₁₆	—	4	1	no	—
1426	C₂×C₈	—	2	2	no	—
1427	C₂×C₈	—	4	1	no	—
1428	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1435	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1479	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1520	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	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1535	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1536	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1537	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1538	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1539	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1540	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1541	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1542	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1543	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	4	2	no	—
1550	C₂³	—	8	1	no	—
1551	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1552	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1553	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	4	1	no	—
1562	Q₈	—	4	2	no	—
1563	Q₈	—	4	2	no	—
1564	Q₈	—	8	1	no	—
1565	Q₈	C₂×#41×C₂₃	1	2	yes	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	C₂×#41×C₂₃	1	2	yes	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	4	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1642	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	C₂×#41×C₂₃	1	2	yes	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	2	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	8	4	no	—
1673	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	C₂₃×#575	1	2	yes	—
1697	C₄	C₂²×#41×C₂₃	1	1	yes	characteristic
1698	C₄	C₂₃×#585	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	4	2	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	D₄×#41×C₂₃	1	1	yes	characteristic
1707	C₂	C₂×C₂₃×#575	1	1	yes	characteristic
1708	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 ◁ C₄×#41×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3480	C₂	semidirect
2. C₂₃×#3475	C₂	semidirect
3. C₂₃×#3401	C₂	semidirect
4. C₂₃×#3388	C₂	semidirect
5. C₂₃×#3377	C₂	semidirect
6. C₂₃×#3370	C₂	semidirect
7. C₂₃×#3351	C₂	semidirect
8. C₂₃×#3349	C₂	semidirect
9. C₂₃×#3347	C₂	semidirect
10. C₂₃×#3327	C₂	semidirect
11. C₂₃×#3322	C₂	semidirect
12. C₂₃×#3321	C₂	semidirect
13. C₂₃×#3317	C₂	semidirect
14. C₂₃×#3311	C₂	semidirect
15. C₂₃×#3307	C₂	semidirect
16. C₂₃×#3275	C₂	semidirect
17. C₂₃×#3269	C₂	semidirect
18. C₂₃×#3268	C₂	semidirect
19. C₂₃×#3172	C₂	semidirect
20. C₂₃×#3171	C₂	semidirect
21. C₂₃×#3168	C₂	semidirect
22. C₂₃×#3108	C₂	semidirect
23. C₂₃×#3107	C₂	semidirect
24. C₂₃×#3106	C₂	semidirect
25. C₂₃×#3105	C₂	semidirect
26. C₂₃×#3102	C₂	semidirect
27. C₂₃×#3102	C₂	semidirect
28. C₂₃×#2965	C₂	semidirect
29. C₄×C₂₃×#137	C₂	semidirect
30. C₄×C₂₃×AGL(1,ℤ/8)	C₂	semidirect
31. C₄×C₂₃×#135	C₂	semidirect
36. C₂₃×#559	C₂²	semidirect
37. C₂₃×#557	C₂²	semidirect
47. C₂₃×#553	C₂²	semidirect
55. C₂₃×#548	C₂²	semidirect
61. C₂₃×#532	C₂²	semidirect
69. C₂₃×#529	C₂²	semidirect
76. C₄×#41×C₂₃	C₂²	semidirect
77. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
80. C₂₃×#501	C₂²	semidirect
81. C₂₃×#501	C₂²	semidirect
82. C₂₃×#499	C₂²	semidirect
83. C₂₃×#497	C₂²	semidirect
86. C₂₃×#491	C₂²	semidirect
87. C₂₃×#490	C₂²	semidirect
89. C₂₃×#489	C₂²	semidirect
91. C₂₃×#488	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#485	C₂²	semidirect
97. C₂₃×#483	C₂²	semidirect
99. C₂₃×#482	C₂²	semidirect
100. C₂₃×#482	C₂²	semidirect
101. C₂₃×#482	C₂²	semidirect
104. C₂₃×#479	C₂²	semidirect
105. C₂₃×#479	C₂²	semidirect
106. C₂₃×#479	C₂²	semidirect
107. C₂₃×#479	C₂²	semidirect
111. C₂₃×#478	C₂²	semidirect
112. C₂₃×#477	C₂²	semidirect
114. C₂₃×#475	C₂²	semidirect
115. C₂₃×#474	C₂²	semidirect
122. C₂₃×#468	C₂²	semidirect
123. C₂₃×#468	C₂²	semidirect
124. C₂₃×#467	C₂²	semidirect
127. C₂₃×#465	C₂²	semidirect
131. C₂₃×#464	C₂²	semidirect
136. C₂₃×#462	C₂²	semidirect
137. C₂₃×#461	C₂²	semidirect
138. C₂₃×#460	C₂²	semidirect
143. C₂₃×#452	C₂²	semidirect
144. C₂₃×#451	C₂²	semidirect
152. C₂₃×#446	C₂²	semidirect
153. C₂₃×#446	C₂²	semidirect
156. C₂₃×#441	C₂²	semidirect
157. C₂₃×#441	C₂²	semidirect
162. C₄×Q₁₆×C₂₃	C₂²	semidirect
163. C₄×Q₁₆×C₂₃	C₂²	semidirect
164. C₄×Q₁₆×C₂₃	C₂²	semidirect
165. C₄×Q₁₆×C₂₃	C₂²	semidirect
166. C₄×Q₁₆×C₂₃	C₂²	semidirect
172. C₄×SD₁₆×C₂₃	C₂²	semidirect
173. C₄×SD₁₆×C₂₃	C₂²	semidirect
174. C₄×SD₁₆×C₂₃	C₂²	semidirect
175. C₄×SD₁₆×C₂₃	C₂²	semidirect
176. C₄×SD₁₆×C₂₃	C₂²	semidirect
186. C₂₃×#435	C₂²	semidirect
187. C₂₃×#435	C₂²	semidirect
189. C₂₃×#431	C₂²	semidirect
190. C₂₃×#431	C₂²	semidirect
192. C₂₃×#428	C₂²	semidirect
193. C₂₃×#427	C₂²	semidirect
194. C₂₃×#419	C₂²	semidirect
199. C₂₃×#416	C₂²	semidirect
201. C₄×M₁₆×C₂₃	C₂²	semidirect
202. C₂×C₄×C₈×C₂₃	C₂²	semidirect
562. SD₁₆×C₂₃	#41	semidirect
689. #61441	C₂₃	direct (N × H)
797. #3480	C₂×C₂₃	semidirect
798. #3475	C₂×C₂₃	semidirect
799. #3401	C₂×C₂₃	semidirect
800. #3388	C₂×C₂₃	semidirect
801. #3377	C₂×C₂₃	semidirect
802. #3370	C₂×C₂₃	semidirect
803. #3351	C₂×C₂₃	semidirect
804. #3349	C₂×C₂₃	semidirect
805. #3347	C₂×C₂₃	semidirect
806. #3327	C₂×C₂₃	semidirect
807. #3322	C₂×C₂₃	semidirect
808. #3321	C₂×C₂₃	semidirect
809. #3317	C₂×C₂₃	semidirect
810. #3311	C₂×C₂₃	semidirect
811. #3307	C₂×C₂₃	semidirect
812. #3275	C₂×C₂₃	semidirect
813. #3269	C₂×C₂₃	semidirect
814. #3268	C₂×C₂₃	semidirect
815. #3172	C₂×C₂₃	semidirect
816. #3171	C₂×C₂₃	semidirect
817. #3168	C₂×C₂₃	semidirect
818. #3108	C₂×C₂₃	semidirect
819. #3107	C₂×C₂₃	semidirect
820. #3106	C₂×C₂₃	semidirect
821. #3105	C₂×C₂₃	semidirect
822. #3102	C₂×C₂₃	semidirect
823. #3102	C₂×C₂₃	semidirect
824. #2965	C₂×C₂₃	semidirect
825. C₄×#137	C₂×C₂₃	semidirect
826. C₄×AGL(1,ℤ/8)	C₂×C₂₃	semidirect
827. C₄×#135	C₂×C₂₃	semidirect
880. #559	C₂²×C₂₃	semidirect
881. #557	C₂²×C₂₃	semidirect
891. #553	C₂²×C₂₃	semidirect
899. #548	C₂²×C₂₃	semidirect
905. #532	C₂²×C₂₃	semidirect
913. #529	C₂²×C₂₃	semidirect
920. C₄×#41	C₂²×C₂₃	semidirect
921. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
924. #501	C₂²×C₂₃	semidirect
925. #501	C₂²×C₂₃	semidirect
926. #499	C₂²×C₂₃	semidirect
927. #497	C₂²×C₂₃	semidirect
930. #491	C₂²×C₂₃	semidirect
931. #490	C₂²×C₂₃	semidirect
933. #489	C₂²×C₂₃	semidirect
935. #488	C₂²×C₂₃	semidirect
938. #485	C₂²×C₂₃	semidirect
939. #485	C₂²×C₂₃	semidirect
941. #483	C₂²×C₂₃	semidirect
943. #482	C₂²×C₂₃	semidirect
944. #482	C₂²×C₂₃	semidirect
945. #482	C₂²×C₂₃	semidirect
948. #479	C₂²×C₂₃	semidirect
949. #479	C₂²×C₂₃	semidirect
950. #479	C₂²×C₂₃	semidirect
951. #479	C₂²×C₂₃	semidirect
955. #478	C₂²×C₂₃	semidirect
956. #477	C₂²×C₂₃	semidirect
958. #475	C₂²×C₂₃	semidirect
959. #474	C₂²×C₂₃	semidirect
966. #468	C₂²×C₂₃	semidirect
967. #468	C₂²×C₂₃	semidirect
968. #467	C₂²×C₂₃	semidirect
971. #465	C₂²×C₂₃	semidirect
975. #464	C₂²×C₂₃	semidirect
980. #462	C₂²×C₂₃	semidirect
981. #461	C₂²×C₂₃	semidirect
982. #460	C₂²×C₂₃	semidirect
987. #452	C₂²×C₂₃	semidirect
988. #451	C₂²×C₂₃	semidirect
996. #446	C₂²×C₂₃	semidirect
997. #446	C₂²×C₂₃	semidirect
1000. #441	C₂²×C₂₃	semidirect
1001. #441	C₂²×C₂₃	semidirect
1006. C₄×Q₁₆	C₂²×C₂₃	semidirect
1007. C₄×Q₁₆	C₂²×C₂₃	semidirect
1008. C₄×Q₁₆	C₂²×C₂₃	semidirect
1009. C₄×Q₁₆	C₂²×C₂₃	semidirect
1010. C₄×Q₁₆	C₂²×C₂₃	semidirect
1016. C₄×SD₁₆	C₂²×C₂₃	semidirect
1017. C₄×SD₁₆	C₂²×C₂₃	semidirect
1018. C₄×SD₁₆	C₂²×C₂₃	semidirect
1019. C₄×SD₁₆	C₂²×C₂₃	semidirect
1020. C₄×SD₁₆	C₂²×C₂₃	semidirect
1030. #435	C₂²×C₂₃	semidirect
1031. #435	C₂²×C₂₃	semidirect
1033. #431	C₂²×C₂₃	semidirect
1034. #431	C₂²×C₂₃	semidirect
1036. #428	C₂²×C₂₃	semidirect
1037. #427	C₂²×C₂₃	semidirect
1038. #419	C₂²×C₂₃	semidirect
1043. #416	C₂²×C₂₃	semidirect
1045. C₄×M₁₆	C₂²×C₂₃	semidirect
1046. C₂×C₄×C₈	C₂²×C₂₃	semidirect
1335. C₂₃	#61441	direct (N × H)
1417. SD₁₆	#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×#3480	2
C₂₃×#3475	2
C₂₃×#3401	2
C₂₃×#3388	2
C₂₃×#3377	2
C₂₃×#3370	2
C₂₃×#3351	2
C₂₃×#3349	2
C₂₃×#3347	2
C₂₃×#3327	2
C₂₃×#3322	2
C₂₃×#3321	2
C₂₃×#3317	2
C₂₃×#3311	2
C₂₃×#3307	2
C₂₃×#3275	2
C₂₃×#3269	2
C₂₃×#3268	2
C₂₃×#3172	2
C₂₃×#3171	2
C₂₃×#3168	2
C₂₃×#3108	2
C₂₃×#3107	2
C₂₃×#3106	2
C₂₃×#3105	2
C₂₃×#3102	2
C₂₃×#2965	2
C₄×C₂₃×#137	2
C₄×C₂₃×AGL(1,ℤ/8)	2
C₄×C₂₃×#135	2
#61441	23

Subgroups — C23×#61441 #19209067

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61441 #19209067