Subgroups — C₂₃×#36787 #19184413

Order 5888.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2795	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2783	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2779	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2757	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2743	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2738	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2725	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2718	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2706	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2695	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2668	C₂	1	1	yes	maximal, characteristic
19	C₂₃×#2654	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2651	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2602	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2526	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2441	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic
33	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
47	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
48	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
49	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
50	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
51	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
52	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₂₃×#399	C₂²	1	1	yes	characteristic
54	C₂₃×#399	C₂²	1	1	yes	characteristic
55	C₂₃×#399	C₂²	1	1	yes	characteristic
56	C₂₃×#399	C₂²	1	1	yes	characteristic, complemented
57	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
58	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
59	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
61	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
62	C₂₃×#397	C₂²	1	1	yes	characteristic
63	C₂₃×#397	C₂²	1	1	yes	characteristic
64	C₂₃×#397	C₂²	1	1	yes	characteristic
65	C₂₃×#397	C₂²	1	1	yes	characteristic
66	C₂₃×#397	C₂²	1	1	yes	characteristic
67	C₂₃×#397	C₂²	1	1	yes	characteristic
68	C₂₃×#397	C₂²	1	1	yes	characteristic
69	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
70	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₂₃×#396	C₂²	1	1	yes	characteristic
72	C₂₃×#396	C₂²	1	1	yes	characteristic
73	C₂₃×#396	C₂²	1	1	yes	characteristic
74	C₂₃×#396	C₂²	1	1	yes	characteristic
75	C₂₃×#396	C₂²	1	1	yes	characteristic
76	C₂₃×#396	C₂²	1	1	yes	characteristic
77	C₂₃×#396	C₂²	1	1	yes	characteristic
78	C₂₃×#396	C₂²	1	1	yes	characteristic
79	C₂₃×#396	C₂²	1	1	yes	characteristic
80	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#394	C₂²	1	1	yes	characteristic
82	C₂₃×#394	C₂²	1	1	yes	characteristic
83	C₂₃×#394	C₂²	1	1	yes	characteristic
84	C₂₃×#394	C₂²	1	1	yes	characteristic
85	C₂₃×#394	C₂²	1	1	yes	characteristic
86	C₂₃×#394	C₂²	1	1	yes	characteristic
87	C₂₃×#394	C₂²	1	1	yes	characteristic
88	C₂₃×#394	C₂²	1	1	yes	characteristic
89	C₂₃×#394	C₂²	1	1	yes	characteristic
90	C₂₃×#394	C₂²	1	1	yes	characteristic
91	C₂₃×#394	C₂²	1	1	yes	characteristic
92	C₂₃×#394	C₂²	1	1	yes	characteristic
93	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#392	C₂²	1	1	yes	characteristic
95	C₂₃×#390	C₂²	1	1	yes	characteristic
96	C₂₃×#390	C₂²	1	1	yes	characteristic
97	C₂₃×#390	C₂²	1	1	yes	characteristic
98	C₂₃×#390	C₂²	1	1	yes	characteristic
99	C₂₃×#390	C₂²	1	1	yes	characteristic
100	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#388	C₂²	1	1	yes	characteristic
110	C₂₃×#388	C₂²	1	1	yes	characteristic
111	C₂₃×#388	C₂²	1	1	yes	characteristic
112	C₂₃×#388	C₂²	1	1	yes	characteristic
113	C₂₃×#388	C₂²	1	1	yes	characteristic
114	C₂₃×#388	C₂²	1	1	yes	characteristic
115	C₂₃×#388	C₂²	1	1	yes	characteristic
116	C₂₃×#388	C₂²	1	1	yes	characteristic
117	C₂₃×#388	C₂²	1	1	yes	characteristic
118	C₂₃×#388	C₂²	1	1	yes	characteristic
119	C₂₃×#388	C₂²	1	1	yes	characteristic
120	C₂₃×#388	C₂²	1	1	yes	characteristic
121	C₂₃×#388	C₂²	1	1	yes	characteristic
122	C₂₃×#388	C₂²	1	1	yes	characteristic
123	C₂₃×#388	C₂²	1	1	yes	characteristic
124	C₂₃×#388	C₂²	1	1	yes	characteristic
125	C₂₃×#388	C₂²	1	1	yes	characteristic
126	C₂₃×#388	C₂²	1	1	yes	characteristic
127	C₂₃×#388	C₂²	1	1	yes	characteristic
128	C₂₃×#388	C₂²	1	1	yes	characteristic
129	C₂₃×#388	C₂²	1	1	yes	characteristic
130	C₂₃×#388	C₂²	1	1	yes	characteristic
131	C₂₃×#388	C₂²	1	1	yes	characteristic
132	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#386	C₂²	1	1	yes	characteristic
150	C₂₃×#386	C₂²	1	1	yes	characteristic
151	C₂₃×#386	C₂²	1	1	yes	characteristic
152	C₂₃×#386	C₂²	1	1	yes	characteristic
153	C₂₃×#386	C₂²	1	1	yes	characteristic
154	C₂₃×#386	C₂²	1	1	yes	characteristic
155	C₂₃×#386	C₂²	1	1	yes	characteristic
156	C₂₃×#386	C₂²	1	1	yes	characteristic
157	C₂₃×#386	C₂²	1	1	yes	characteristic
158	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#385	C₂²	1	1	yes	characteristic
160	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#384	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#383	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#381	C₂²	1	1	yes	characteristic
171	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#380	C₂²	1	1	yes	characteristic
173	C₂₃×#380	C₂²	1	1	yes	characteristic
174	C₂₃×#380	C₂²	1	1	yes	characteristic
175	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
176	C₂₃×#379	C₂²	1	1	yes	characteristic
177	C₂₃×#379	C₂²	1	1	yes	characteristic
178	C₂₃×#379	C₂²	1	1	yes	characteristic
179	C₂₃×#379	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
186	C₂₃×#376	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
201	C₂₃×#126	—	4	2	no	—
202	C₂₃×#126	—	4	2	no	—
203	C₂₃×#125	—	4	2	no	—
204	C₂₃×#123	—	2	4	no	—
205	C₂₃×#123	—	4	2	no	—
206	C₂₃×#123	—	4	2	no	—
207	C₂₃×#123	—	4	2	no	—
208	C₂₃×#121	—	4	2	no	—
209	C₂₃×#121	—	4	2	no	—
210	C₂₃×#120	—	4	2	no	—
211	C₂₃×#120	—	4	2	no	—
212	C₄×D₄×C₂₃	—	2	4	no	—
213	C₂₃×#117	—	4	2	no	—
214	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
250	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₂₃	—	4	2	no	—
303	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
315	C₂₃×#95	C₂³	1	1	yes	characteristic
316	C₂₃×#95	C₂³	1	1	yes	characteristic
317	C₂₃×#95	C₂³	1	1	yes	characteristic
318	C₂₃×#95	C₂³	1	1	yes	characteristic
319	C₂₃×#95	C₂³	1	1	yes	characteristic
320	C₂₃×#95	C₂³	1	1	yes	characteristic
321	C₂₃×#95	C₂³	1	1	yes	characteristic
322	C₂₃×#95	C₂³	1	1	yes	characteristic
323	C₂₃×#95	C₂³	1	1	yes	characteristic
324	C₂₃×#95	C₂³	1	1	yes	characteristic
325	C₂₃×#95	C₂³	1	1	yes	characteristic
326	C₂₃×#95	C₂³	1	1	yes	characteristic
327	C₂₃×#95	C₂³	1	1	yes	characteristic
328	C₂₃×#95	C₂³	1	1	yes	characteristic
329	C₂₃×#95	C₂³	1	1	yes	characteristic
330	C₂₃×#95	C₂³	1	1	yes	characteristic
331	C₂₃×#95	C₂³	1	1	yes	characteristic
332	C₂₃×#95	C₂³	1	1	yes	characteristic
333	C₂₃×#95	C₂³	1	1	yes	characteristic
334	C₂₃×#95	C₂³	1	1	yes	characteristic
335	C₂₃×#95	C₂³	1	1	yes	characteristic
336	C₂₃×#95	C₂³	1	1	yes	characteristic
337	C₂₃×#95	C₂³	1	1	yes	characteristic
338	C₂₃×#95	C₂³	1	1	yes	characteristic
339	C₂₃×#95	C₂³	1	1	yes	characteristic
340	C₂₃×#95	C₂³	1	1	yes	characteristic
341	C₂₃×#95	C₂³	1	1	yes	characteristic
342	C₂₃×#95	C₂³	1	1	yes	characteristic
343	C₂₃×#95	C₂³	1	1	yes	characteristic
344	C₂₃×#95	C₂³	1	1	yes	characteristic
345	C₂₃×#95	C₂³	1	1	yes	characteristic
346	C₂₃×#95	C₂³	1	1	yes	characteristic
347	C₂₃×#95	C₂³	1	1	yes	characteristic
348	C₂₃×#95	C₂³	1	1	yes	characteristic
349	C₂₃×#95	C₂³	1	1	yes	characteristic
350	C₂₃×#95	C₂³	1	1	yes	characteristic
351	C₂₃×#95	C₂³	1	1	yes	characteristic
352	C₂₃×#95	C₂³	1	1	yes	characteristic
353	C₂₃×#95	C₂³	1	1	yes	characteristic
354	C₂₃×#95	C₂³	1	1	yes	characteristic
355	C₂₃×#95	C₂³	1	1	yes	characteristic
356	C₂₃×#95	C₂³	1	1	yes	characteristic
357	C₂⁴×C₂₃	—	2	2	no	—
358	C₂⁴×C₂₃	—	4	1	no	—
359	C₂⁴×C₂₃	—	4	1	no	—
360	C₂⁴×C₂₃	—	4	1	no	—
361	C₂⁴×C₂₃	—	4	1	no	—
362	C₂⁴×C₂₃	—	4	1	no	—
363	C₂⁴×C₂₃	—	4	1	no	—
364	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
369	C₂×D₄×C₂₃	—	2	2	no	—
370	C₂×D₄×C₂₃	—	2	2	no	—
371	C₂×D₄×C₂₃	—	2	2	no	—
372	C₂×D₄×C₂₃	—	2	2	no	—
373	C₂×D₄×C₂₃	—	2	2	no	—
374	C₂×D₄×C₂₃	—	2	2	no	—
375	C₂×D₄×C₂₃	—	2	2	no	—
376	C₂×D₄×C₂₃	—	4	1	no	—
377	C₂×D₄×C₂₃	—	4	1	no	—
378	C₂×D₄×C₂₃	—	4	1	no	—
379	C₂×D₄×C₂₃	—	4	1	no	—
380	C₂×D₄×C₂₃	—	4	1	no	—
381	C₂×D₄×C₂₃	—	4	1	no	—
382	C₂×D₄×C₂₃	—	4	1	no	—
383	C₂×D₄×C₂₃	—	4	1	no	—
384	C₂×D₄×C₂₃	—	4	1	no	—
385	C₂×D₄×C₂₃	—	4	1	no	—
386	C₂×D₄×C₂₃	—	4	1	no	—
387	C₂×D₄×C₂₃	—	4	1	no	—
388	C₂×D₄×C₂₃	—	4	1	no	—
389	C₂×D₄×C₂₃	—	4	1	no	—
390	C₂²×C₄×C₂₃	—	2	2	no	—
391	C₂²×C₄×C₂₃	—	2	2	no	—
392	C₂²×C₄×C₂₃	—	2	2	no	—
393	C₂²×C₄×C₂₃	—	2	2	no	—
394	C₂²×C₄×C₂₃	—	4	1	no	—
395	C₂²×C₄×C₂₃	—	4	1	no	—
396	C₂²×C₄×C₂₃	—	4	1	no	—
397	C₂²×C₄×C₂₃	—	4	1	no	—
398	C₂²×C₄×C₂₃	—	4	1	no	—
399	C₂²×C₄×C₂₃	—	4	1	no	—
400	C₂²×C₄×C₂₃	—	4	1	no	—
401	C₂²×C₄×C₂₃	—	4	1	no	—
402	C₂²×C₄×C₂₃	—	4	1	no	—
403	C₂²×C₄×C₂₃	—	4	1	no	—
404	C₂²×C₄×C₂₃	—	4	1	no	—
405	C₂²×C₄×C₂₃	—	4	1	no	—
406	C₂²×C₄×C₂₃	—	4	1	no	—
407	C₂²×C₄×C₂₃	#41	1	4	yes	—
408	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
434	C₄⋊C₄×C₂₃	—	2	2	no	—
435	C₄⋊C₄×C₂₃	—	2	2	no	—
436	C₄⋊C₄×C₂₃	—	2	2	no	—
437	C₄⋊C₄×C₂₃	—	2	2	no	—
438	C₄⋊C₄×C₂₃	—	2	2	no	—
439	C₄⋊C₄×C₂₃	—	2	2	no	—
440	C₄⋊C₄×C₂₃	—	4	1	no	—
441	C₄⋊C₄×C₂₃	—	4	1	no	—
442	C₄⋊C₄×C₂₃	—	4	1	no	—
443	C₄⋊C₄×C₂₃	—	4	1	no	—
444	C₄⋊C₄×C₂₃	—	4	1	no	—
445	C₄⋊C₄×C₂₃	—	4	1	no	—
446	C₄⋊C₄×C₂₃	—	4	1	no	—
447	C₄⋊C₄×C₂₃	—	4	1	no	—
448	C₄⋊C₄×C₂₃	—	4	1	no	—
449	C₄⋊C₄×C₂₃	—	4	1	no	—
450	C₄⋊C₄×C₂₃	—	4	1	no	—
451	C₄⋊C₄×C₂₃	—	4	1	no	—
452	C₄⋊C₄×C₂₃	—	4	1	no	—
453	C₄⋊C₄×C₂₃	—	4	1	no	—
454	C₄⋊C₄×C₂₃	—	4	1	no	—
455	C₄⋊C₄×C₂₃	—	4	1	no	—
456	C₄⋊C₄×C₂₃	—	4	1	no	—
457	C₄⋊C₄×C₂₃	—	4	1	no	—
458	C₄⋊C₄×C₂₃	—	4	1	no	—
459	C₄⋊C₄×C₂₃	—	4	1	no	—
460	C₄⋊C₄×C₂₃	—	4	1	no	—
461	C₄⋊C₄×C₂₃	—	4	1	no	—
462	C₄⋊C₄×C₂₃	—	4	1	no	—
463	C₄⋊C₄×C₂₃	—	4	1	no	—
464	C₄⋊C₄×C₂₃	—	4	1	no	—
465	C₄⋊C₄×C₂₃	—	4	1	no	—
466	C₄⋊C₄×C₂₃	—	4	1	no	—
467	C₄⋊C₄×C₂₃	—	4	1	no	—
468	C₄⋊C₄×C₂₃	—	4	1	no	—
469	C₂²⋊C₄×C₂₃	—	2	2	no	—
470	C₂²⋊C₄×C₂₃	—	2	2	no	—
471	C₂²⋊C₄×C₂₃	—	2	2	no	—
472	C₂²⋊C₄×C₂₃	—	2	2	no	—
473	C₂²⋊C₄×C₂₃	—	2	2	no	—
474	C₂²⋊C₄×C₂₃	—	2	2	no	—
475	C₂²⋊C₄×C₂₃	—	2	2	no	—
476	C₂²⋊C₄×C₂₃	—	2	2	no	—
477	C₂²⋊C₄×C₂₃	—	2	2	no	—
478	C₂²⋊C₄×C₂₃	—	2	2	no	—
479	C₂²⋊C₄×C₂₃	—	2	2	no	—
480	C₂²⋊C₄×C₂₃	—	2	2	no	—
481	C₂²⋊C₄×C₂₃	—	2	2	no	—
482	C₂²⋊C₄×C₂₃	—	2	2	no	—
483	C₂²⋊C₄×C₂₃	—	2	2	no	—
484	C₂²⋊C₄×C₂₃	—	4	1	no	—
485	C₂²⋊C₄×C₂₃	—	4	1	no	—
486	C₂²⋊C₄×C₂₃	—	4	1	no	—
487	C₂²⋊C₄×C₂₃	—	4	1	no	—
488	C₂²⋊C₄×C₂₃	—	4	1	no	—
489	C₂²⋊C₄×C₂₃	—	4	1	no	—
490	C₂²⋊C₄×C₂₃	—	4	1	no	—
491	C₂²⋊C₄×C₂₃	—	4	1	no	—
492	C₂²⋊C₄×C₂₃	—	4	1	no	—
493	C₂²⋊C₄×C₂₃	—	4	1	no	—
494	C₂²⋊C₄×C₂₃	—	4	1	no	—
495	C₂²⋊C₄×C₂₃	—	4	1	no	—
496	C₂²⋊C₄×C₂₃	—	4	1	no	—
497	C₂²⋊C₄×C₂₃	—	4	1	no	—
498	C₂²⋊C₄×C₂₃	—	4	1	no	—
499	C₂²⋊C₄×C₂₃	—	4	1	no	—
500	C₂²⋊C₄×C₂₃	—	4	1	no	—
501	C₂²⋊C₄×C₂₃	—	4	1	no	—
502	C₂²⋊C₄×C₂₃	—	4	1	no	—
503	C₂²⋊C₄×C₂₃	—	4	1	no	—
504	C₂²⋊C₄×C₂₃	—	4	1	no	—
505	C₂²⋊C₄×C₂₃	—	4	1	no	—
506	C₂²⋊C₄×C₂₃	—	4	1	no	—
507	C₂²⋊C₄×C₂₃	—	4	1	no	—
508	C₂²⋊C₄×C₂₃	—	4	1	no	—
509	C₂²⋊C₄×C₂₃	—	4	1	no	—
510	C₂²⋊C₄×C₂₃	—	4	1	no	—
511	C₂²⋊C₄×C₂₃	—	4	1	no	—
512	C₂²⋊C₄×C₂₃	—	4	1	no	—
513	C₂²⋊C₄×C₂₃	—	4	1	no	—
514	C₂²⋊C₄×C₂₃	—	4	1	no	—
515	C₂²⋊C₄×C₂₃	—	4	1	no	—
516	C₂²⋊C₄×C₂₃	—	4	1	no	—
517	C₂²⋊C₄×C₂₃	—	4	1	no	—
518	C₂²⋊C₄×C₂₃	—	4	1	no	—
519	C₂²⋊C₄×C₂₃	—	4	1	no	—
520	C₂²⋊C₄×C₂₃	—	4	1	no	—
521	C₄²×C₂₃	—	2	2	no	—
522	C₄²×C₂₃	—	2	2	no	—
523	C₄²×C₂₃	—	2	2	no	—
524	C₄²×C₂₃	—	4	1	no	—
525	C₄²×C₂₃	—	4	1	no	—
526	C₄²×C₂₃	—	4	1	no	—
527	C₄²×C₂₃	—	4	1	no	—
528	C₄²×C₂₃	—	4	1	no	—
529	C₄²×C₂₃	—	4	1	no	—
530	C₄²×C₂₃	—	4	1	no	—
531	C₄²×C₂₃	—	4	1	no	—
532	C₄²×C₂₃	—	4	1	no	—
533	#36787	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
534	C₂³×C₂₃	—	2	1	no	—
535	C₂³×C₂₃	—	2	1	no	—
536	C₂³×C₂₃	—	2	1	no	—
537	C₂³×C₂₃	—	2	1	no	—
538	C₂³×C₂₃	—	2	1	no	—
539	C₂³×C₂₃	—	2	1	no	—
540	C₂³×C₂₃	—	2	1	no	—
541	C₂³×C₂₃	—	2	1	no	—
542	C₂³×C₂₃	—	2	1	no	—
543	C₂³×C₂₃	—	2	1	no	—
544	C₂³×C₂₃	—	2	1	no	—
545	C₂³×C₂₃	—	2	1	no	—
546	C₂³×C₂₃	—	2	1	no	—
547	C₂³×C₂₃	—	2	1	no	—
548	C₂³×C₂₃	—	2	1	no	—
549	C₂³×C₂₃	—	2	1	no	—
550	C₂³×C₂₃	—	2	1	no	—
551	C₂³×C₂₃	—	2	1	no	—
552	C₂³×C₂₃	—	2	1	no	—
553	C₂³×C₂₃	—	2	1	no	—
554	C₂³×C₂₃	—	2	1	no	—
555	C₂³×C₂₃	—	2	1	no	—
556	C₂³×C₂₃	—	2	1	no	—
557	C₂³×C₂₃	—	2	1	no	—
558	C₂³×C₂₃	—	2	1	no	—
559	C₂³×C₂₃	—	2	1	no	—
560	C₂³×C₂₃	—	2	1	no	—
561	C₂³×C₂₃	—	2	1	no	—
562	C₂³×C₂₃	—	2	1	no	—
563	C₂³×C₂₃	—	2	1	no	—
564	C₂³×C₂₃	—	2	1	no	—
565	C₂³×C₂₃	—	2	1	no	—
566	C₂³×C₂₃	—	2	1	no	—
567	C₂³×C₂₃	—	4	4	no	—
568	C₂³×C₂₃	—	8	2	no	—
569	C₂³×C₂₃	—	8	2	no	—
570	C₂³×C₂₃	—	8	2	no	—
571	C₂³×C₂₃	—	8	2	no	—
572	C₂³×C₂₃	—	8	2	no	—
573	C₂³×C₂₃	—	8	2	no	—
574	C₂³×C₂₃	C₂×#41	1	2	yes	—
575	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
576	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
577	D₄×C₂₃	—	4	4	no	—
578	D₄×C₂₃	—	8	2	no	—
579	D₄×C₂₃	—	8	2	no	—
580	D₄×C₂₃	—	8	2	no	—
581	D₄×C₂₃	—	8	2	no	—
582	D₄×C₂₃	—	8	2	no	—
583	D₄×C₂₃	—	8	2	no	—
584	C₂×C₄×C₂₃	—	2	1	no	—
585	C₂×C₄×C₂₃	—	2	1	no	—
586	C₂×C₄×C₂₃	—	2	1	no	—
587	C₂×C₄×C₂₃	—	2	1	no	—
588	C₂×C₄×C₂₃	—	2	1	no	—
589	C₂×C₄×C₂₃	—	2	1	no	—
590	C₂×C₄×C₂₃	—	2	1	no	—
591	C₂×C₄×C₂₃	—	2	1	no	—
592	C₂×C₄×C₂₃	—	2	1	no	—
593	C₂×C₄×C₂₃	—	2	1	no	—
594	C₂×C₄×C₂₃	—	2	1	no	—
595	C₂×C₄×C₂₃	—	2	1	no	—
596	C₂×C₄×C₂₃	—	2	1	no	—
597	C₂×C₄×C₂₃	—	2	1	no	—
598	C₂×C₄×C₂₃	—	2	1	no	—
599	C₂×C₄×C₂₃	—	2	1	no	—
600	C₂×C₄×C₂₃	—	2	1	no	—
601	C₂×C₄×C₂₃	—	2	1	no	—
602	C₂×C₄×C₂₃	—	2	1	no	—
603	C₂×C₄×C₂₃	—	2	1	no	—
604	C₂×C₄×C₂₃	—	2	1	no	—
605	C₂×C₄×C₂₃	—	2	1	no	—
606	C₂×C₄×C₂₃	—	2	1	no	—
607	C₂×C₄×C₂₃	—	2	1	no	—
608	C₂×C₄×C₂₃	—	2	1	no	—
609	C₂×C₄×C₂₃	—	2	1	no	—
610	C₂×C₄×C₂₃	—	2	1	no	—
611	C₂×C₄×C₂₃	—	2	1	no	—
612	C₂×C₄×C₂₃	—	2	1	no	—
613	C₂×C₄×C₂₃	—	2	1	no	—
614	C₂×C₄×C₂₃	—	2	1	no	—
615	C₂×C₄×C₂₃	—	2	1	no	—
616	C₂×C₄×C₂₃	—	2	1	no	—
617	C₂×C₄×C₂₃	—	2	1	no	—
618	C₂×C₄×C₂₃	—	2	1	no	—
619	C₂×C₄×C₂₃	—	2	1	no	—
620	C₂×C₄×C₂₃	—	2	1	no	—
621	C₂×C₄×C₂₃	—	2	1	no	—
622	C₂×C₄×C₂₃	—	2	1	no	—
623	C₂×C₄×C₂₃	—	2	1	no	—
624	C₂×C₄×C₂₃	—	2	1	no	—
625	C₂×C₄×C₂₃	—	2	1	no	—
626	C₂×C₄×C₂₃	—	2	1	no	—
627	C₂×C₄×C₂₃	—	2	1	no	—
628	C₂×C₄×C₂₃	—	2	1	no	—
629	C₂×C₄×C₂₃	—	2	1	no	—
630	C₂×C₄×C₂₃	—	2	1	no	—
631	C₂×C₄×C₂₃	—	2	1	no	—
632	C₂×C₄×C₂₃	—	2	1	no	—
633	C₂×C₄×C₂₃	—	2	1	no	—
634	C₂×C₄×C₂₃	—	2	1	no	—
635	C₂×C₄×C₂₃	—	2	1	no	—
636	C₂×C₄×C₂₃	—	2	1	no	—
637	C₂×C₄×C₂₃	—	2	1	no	—
638	C₂×C₄×C₂₃	—	2	1	no	—
639	C₂×C₄×C₂₃	—	2	1	no	—
640	C₂×C₄×C₂₃	—	2	1	no	—
641	C₂×C₄×C₂₃	—	2	1	no	—
642	C₂×C₄×C₂₃	—	2	1	no	—
643	C₂×C₄×C₂₃	—	2	1	no	—
644	C₂×C₄×C₂₃	—	2	1	no	—
645	C₂×C₄×C₂₃	—	2	1	no	—
646	C₂×C₄×C₂₃	—	2	1	no	—
647	C₂×C₄×C₂₃	—	2	1	no	—
648	C₂×C₄×C₂₃	—	2	1	no	—
649	C₂×C₄×C₂₃	—	2	1	no	—
650	C₂×C₄×C₂₃	—	2	1	no	—
651	C₂×C₄×C₂₃	—	2	1	no	—
652	C₂×C₄×C₂₃	—	2	1	no	—
653	C₂×C₄×C₂₃	—	2	1	no	—
654	C₂×C₄×C₂₃	—	2	1	no	—
655	C₂×C₄×C₂₃	—	2	1	no	—
656	C₂×C₄×C₂₃	—	2	1	no	—
657	C₂×C₄×C₂₃	—	2	1	no	—
658	C₂×C₄×C₂₃	—	2	1	no	—
659	C₂×C₄×C₂₃	—	4	4	no	—
660	C₂×C₄×C₂₃	—	4	4	no	—
661	C₂×C₄×C₂₃	—	4	4	no	—
662	C₂×C₄×C₂₃	—	4	4	no	—
663	C₂×C₄×C₂₃	—	8	2	no	—
664	C₂×C₄×C₂₃	—	8	2	no	—
665	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
666	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
667	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
668	#2854	C₂×C₂₃	1	1	yes	characteristic, complemented
669	#2852	C₂×C₂₃	1	1	yes	characteristic, complemented
670	#2795	C₂×C₂₃	1	1	yes	characteristic, complemented
671	#2783	C₂×C₂₃	1	1	yes	characteristic, complemented
672	#2779	C₂×C₂₃	1	1	yes	characteristic, complemented
673	#2757	C₂×C₂₃	1	1	yes	characteristic, complemented
674	#2743	C₂×C₂₃	1	1	yes	characteristic, complemented
675	#2738	C₂×C₂₃	1	1	yes	characteristic, complemented
676	#2735	C₂×C₂₃	1	1	yes	characteristic, complemented
677	#2725	C₂×C₂₃	1	1	yes	characteristic, complemented
678	#2718	C₂×C₂₃	1	1	yes	characteristic, complemented
679	#2711	C₂×C₂₃	1	1	yes	characteristic, complemented
680	#2706	C₂×C₂₃	1	1	yes	characteristic, complemented
681	#2701	C₂×C₂₃	1	1	yes	characteristic, complemented
682	#2697	C₂×C₂₃	1	1	yes	characteristic, complemented
683	#2695	C₂×C₂₃	1	1	yes	characteristic, complemented
684	#2685	C₂×C₂₃	1	1	yes	characteristic, complemented
685	#2668	C₂×C₂₃	1	1	yes	characteristic
686	#2654	C₂×C₂₃	1	1	yes	characteristic, complemented
687	#2651	C₂×C₂₃	1	1	yes	characteristic, complemented
688	#2602	C₂×C₂₃	1	1	yes	characteristic, complemented
689	#2597	C₂×C₂₃	1	1	yes	characteristic, complemented
690	#2559	C₂×C₂₃	1	1	yes	characteristic, complemented
691	#2534	C₂×C₂₃	1	1	yes	characteristic, complemented
692	#2529	C₂×C₂₃	1	1	yes	characteristic, complemented
693	#2526	C₂×C₂₃	1	1	yes	characteristic, complemented
694	#2441	C₂×C₂₃	1	1	yes	characteristic, complemented
695	#2411	C₂×C₂₃	1	1	yes	characteristic, complemented
696	#2335	C₂×C₂₃	1	1	yes	characteristic, complemented
697	#2312	C₂×C₂₃	1	1	yes	characteristic, complemented
698	#2290	C₂×C₂₃	1	1	yes	characteristic, complemented
699	C₂²×C₂₃	—	2	2	no	—
700	C₂²×C₂₃	—	2	2	no	—
701	C₂²×C₂₃	—	2	2	no	—
702	C₂²×C₂₃	—	2	2	no	—
703	C₂²×C₂₃	—	2	2	no	—
704	C₂²×C₂₃	—	2	2	no	—
705	C₂²×C₂₃	—	4	1	no	—
706	C₂²×C₂₃	—	4	1	no	—
707	C₂²×C₂₃	—	4	1	no	—
708	C₂²×C₂₃	—	4	1	no	—
709	C₂²×C₂₃	—	4	1	no	—
710	C₂²×C₂₃	—	4	1	no	—
711	C₂²×C₂₃	—	4	1	no	—
712	C₂²×C₂₃	—	4	1	no	—
713	C₂²×C₂₃	—	4	1	no	—
714	C₂²×C₂₃	—	4	1	no	—
715	C₂²×C₂₃	—	4	1	no	—
716	C₂²×C₂₃	—	4	1	no	—
717	C₂²×C₂₃	—	4	1	no	—
718	C₂²×C₂₃	—	4	1	no	—
719	C₂²×C₂₃	—	4	1	no	—
720	C₂²×C₂₃	—	4	1	no	—
721	C₂²×C₂₃	—	4	1	no	—
722	C₂²×C₂₃	—	4	1	no	—
723	C₂²×C₂₃	—	4	1	no	—
724	C₂²×C₂₃	—	4	1	no	—
725	C₂²×C₂₃	—	4	1	no	—
726	C₂²×C₂₃	—	4	1	no	—
727	C₂²×C₂₃	—	4	1	no	—
728	C₂²×C₂₃	—	4	1	no	—
729	C₂²×C₂₃	—	4	1	no	—
730	C₂²×C₂₃	—	4	1	no	—
731	C₂²×C₂₃	—	4	1	no	—
732	C₂²×C₂₃	—	4	1	no	—
733	C₂²×C₂₃	—	4	1	no	—
734	C₂²×C₂₃	—	8	8	no	—
735	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
736	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂²×C₂₃	#585	1	1	yes	characteristic
739	C₂²×C₂₃	#585	1	1	yes	characteristic
740	C₂²×C₂₃	#585	1	1	yes	characteristic
741	C₂²×C₂₃	#585	1	1	yes	characteristic
742	C₄×C₂₃	—	2	2	no	—
743	C₄×C₂₃	—	2	2	no	—
744	C₄×C₂₃	—	2	2	no	—
745	C₄×C₂₃	—	4	1	no	—
746	C₄×C₂₃	—	4	1	no	—
747	C₄×C₂₃	—	4	1	no	—
748	C₄×C₂₃	—	4	1	no	—
749	C₄×C₂₃	—	4	1	no	—
750	C₄×C₂₃	—	4	1	no	—
751	C₄×C₂₃	—	4	1	no	—
752	C₄×C₂₃	—	4	1	no	—
753	C₄×C₂₃	—	4	1	no	—
754	C₄×C₂₃	—	4	1	no	—
755	C₄×C₂₃	—	4	1	no	—
756	C₄×C₂₃	—	4	1	no	—
757	C₄×C₂₃	—	4	1	no	—
758	C₄×C₂₃	—	4	1	no	—
759	C₄×C₂₃	—	4	1	no	—
760	C₄×C₂₃	—	4	1	no	—
761	C₄×C₂₃	—	4	1	no	—
762	C₄×C₂₃	—	4	1	no	—
763	C₄×C₂₃	—	4	1	no	—
764	C₄×C₂₃	—	4	1	no	—
765	C₄×C₂₃	—	4	1	no	—
766	C₄×C₂₃	—	4	1	no	—
767	C₄×C₂₃	—	4	1	no	—
768	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic
769	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
770	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
771	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
772	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
773	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
774	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
775	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
776	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
777	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
778	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
779	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
780	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
781	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
782	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
783	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
784	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
785	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
786	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
787	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
788	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
789	#399	C₂²×C₂₃	1	1	yes	characteristic
790	#399	C₂²×C₂₃	1	1	yes	characteristic
791	#399	C₂²×C₂₃	1	1	yes	characteristic
792	#399	C₂²×C₂₃	1	1	yes	characteristic, complemented
793	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
794	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
795	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
796	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
797	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
798	#397	C₂²×C₂₃	1	1	yes	characteristic
799	#397	C₂²×C₂₃	1	1	yes	characteristic
800	#397	C₂²×C₂₃	1	1	yes	characteristic
801	#397	C₂²×C₂₃	1	1	yes	characteristic
802	#397	C₂²×C₂₃	1	1	yes	characteristic
803	#397	C₂²×C₂₃	1	1	yes	characteristic
804	#397	C₂²×C₂₃	1	1	yes	characteristic
805	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
806	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
807	#396	C₂²×C₂₃	1	1	yes	characteristic
808	#396	C₂²×C₂₃	1	1	yes	characteristic
809	#396	C₂²×C₂₃	1	1	yes	characteristic
810	#396	C₂²×C₂₃	1	1	yes	characteristic
811	#396	C₂²×C₂₃	1	1	yes	characteristic
812	#396	C₂²×C₂₃	1	1	yes	characteristic
813	#396	C₂²×C₂₃	1	1	yes	characteristic
814	#396	C₂²×C₂₃	1	1	yes	characteristic
815	#396	C₂²×C₂₃	1	1	yes	characteristic
816	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
817	#394	C₂²×C₂₃	1	1	yes	characteristic
818	#394	C₂²×C₂₃	1	1	yes	characteristic
819	#394	C₂²×C₂₃	1	1	yes	characteristic
820	#394	C₂²×C₂₃	1	1	yes	characteristic
821	#394	C₂²×C₂₃	1	1	yes	characteristic
822	#394	C₂²×C₂₃	1	1	yes	characteristic
823	#394	C₂²×C₂₃	1	1	yes	characteristic
824	#394	C₂²×C₂₃	1	1	yes	characteristic
825	#394	C₂²×C₂₃	1	1	yes	characteristic
826	#394	C₂²×C₂₃	1	1	yes	characteristic
827	#394	C₂²×C₂₃	1	1	yes	characteristic
828	#394	C₂²×C₂₃	1	1	yes	characteristic
829	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
830	#392	C₂²×C₂₃	1	1	yes	characteristic
831	#390	C₂²×C₂₃	1	1	yes	characteristic
832	#390	C₂²×C₂₃	1	1	yes	characteristic
833	#390	C₂²×C₂₃	1	1	yes	characteristic
834	#390	C₂²×C₂₃	1	1	yes	characteristic
835	#390	C₂²×C₂₃	1	1	yes	characteristic
836	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
837	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
838	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
839	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
840	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
841	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
842	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
843	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
844	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
845	#388	C₂²×C₂₃	1	1	yes	characteristic
846	#388	C₂²×C₂₃	1	1	yes	characteristic
847	#388	C₂²×C₂₃	1	1	yes	characteristic
848	#388	C₂²×C₂₃	1	1	yes	characteristic
849	#388	C₂²×C₂₃	1	1	yes	characteristic
850	#388	C₂²×C₂₃	1	1	yes	characteristic
851	#388	C₂²×C₂₃	1	1	yes	characteristic
852	#388	C₂²×C₂₃	1	1	yes	characteristic
853	#388	C₂²×C₂₃	1	1	yes	characteristic
854	#388	C₂²×C₂₃	1	1	yes	characteristic
855	#388	C₂²×C₂₃	1	1	yes	characteristic
856	#388	C₂²×C₂₃	1	1	yes	characteristic
857	#388	C₂²×C₂₃	1	1	yes	characteristic
858	#388	C₂²×C₂₃	1	1	yes	characteristic
859	#388	C₂²×C₂₃	1	1	yes	characteristic
860	#388	C₂²×C₂₃	1	1	yes	characteristic
861	#388	C₂²×C₂₃	1	1	yes	characteristic
862	#388	C₂²×C₂₃	1	1	yes	characteristic
863	#388	C₂²×C₂₃	1	1	yes	characteristic
864	#388	C₂²×C₂₃	1	1	yes	characteristic
865	#388	C₂²×C₂₃	1	1	yes	characteristic
866	#388	C₂²×C₂₃	1	1	yes	characteristic
867	#388	C₂²×C₂₃	1	1	yes	characteristic
868	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
869	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
870	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
871	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
872	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
873	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
874	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
875	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
876	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
877	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
878	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
879	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
880	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
881	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
882	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
883	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
884	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
885	#386	C₂²×C₂₃	1	1	yes	characteristic
886	#386	C₂²×C₂₃	1	1	yes	characteristic
887	#386	C₂²×C₂₃	1	1	yes	characteristic
888	#386	C₂²×C₂₃	1	1	yes	characteristic
889	#386	C₂²×C₂₃	1	1	yes	characteristic
890	#386	C₂²×C₂₃	1	1	yes	characteristic
891	#386	C₂²×C₂₃	1	1	yes	characteristic
892	#386	C₂²×C₂₃	1	1	yes	characteristic
893	#386	C₂²×C₂₃	1	1	yes	characteristic
894	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
895	#385	C₂²×C₂₃	1	1	yes	characteristic
896	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
897	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
898	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
899	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
900	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
901	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
902	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
903	#384	C₂²×C₂₃	1	1	yes	characteristic, complemented
904	#383	C₂²×C₂₃	1	1	yes	characteristic, complemented
905	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
906	#381	C₂²×C₂₃	1	1	yes	characteristic
907	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
908	#380	C₂²×C₂₃	1	1	yes	characteristic
909	#380	C₂²×C₂₃	1	1	yes	characteristic
910	#380	C₂²×C₂₃	1	1	yes	characteristic
911	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
912	#379	C₂²×C₂₃	1	1	yes	characteristic
913	#379	C₂²×C₂₃	1	1	yes	characteristic
914	#379	C₂²×C₂₃	1	1	yes	characteristic
915	#379	C₂²×C₂₃	1	1	yes	characteristic
916	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
918	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
919	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
920	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#376	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	C₂×C₂₃	—	4	2	no	—
924	C₂×C₂₃	—	4	2	no	—
925	C₂×C₂₃	—	8	1	no	—
926	C₂×C₂₃	—	8	1	no	—
927	C₂×C₂₃	—	8	1	no	—
928	C₂×C₂₃	#3455	1	1	yes	characteristic
929	C₂×C₂₃	#3494	1	1	yes	characteristic
930	C₂×C₂₃	#3505	1	1	yes	characteristic
931	C₂×C₂₃	#3533	1	1	yes	characteristic
932	C₂×C₂₃	#3542	1	1	yes	characteristic
933	C₂×C₂₃	#3560	1	1	yes	characteristic
934	C₂×C₂₃	#3566	1	1	yes	characteristic
935	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
936	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
937	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
938	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
939	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
940	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
941	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
942	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
943	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
944	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
945	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
946	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
947	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
948	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
949	#126	—	4	2	no	—
950	#126	—	4	2	no	—
951	#125	—	4	2	no	—
952	#123	—	2	4	no	—
953	#123	—	4	2	no	—
954	#123	—	4	2	no	—
955	#123	—	4	2	no	—
956	#121	—	4	2	no	—
957	#121	—	4	2	no	—
958	#120	—	4	2	no	—
959	#120	—	4	2	no	—
960	C₄×D₄	—	2	4	no	—
961	#117	—	4	2	no	—
962	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	—	2	4	no	—
998	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1050	C₂×C₄²	—	4	2	no	—
1051	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1052	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1053	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1054	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1056	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1063	#95	C₂³×C₂₃	1	1	yes	characteristic
1064	#95	C₂³×C₂₃	1	1	yes	characteristic
1065	#95	C₂³×C₂₃	1	1	yes	characteristic
1066	#95	C₂³×C₂₃	1	1	yes	characteristic
1067	#95	C₂³×C₂₃	1	1	yes	characteristic
1068	#95	C₂³×C₂₃	1	1	yes	characteristic
1069	#95	C₂³×C₂₃	1	1	yes	characteristic
1070	#95	C₂³×C₂₃	1	1	yes	characteristic
1071	#95	C₂³×C₂₃	1	1	yes	characteristic
1072	#95	C₂³×C₂₃	1	1	yes	characteristic
1073	#95	C₂³×C₂₃	1	1	yes	characteristic
1074	#95	C₂³×C₂₃	1	1	yes	characteristic
1075	#95	C₂³×C₂₃	1	1	yes	characteristic
1076	#95	C₂³×C₂₃	1	1	yes	characteristic
1077	#95	C₂³×C₂₃	1	1	yes	characteristic
1078	#95	C₂³×C₂₃	1	1	yes	characteristic
1079	#95	C₂³×C₂₃	1	1	yes	characteristic
1080	#95	C₂³×C₂₃	1	1	yes	characteristic
1081	#95	C₂³×C₂₃	1	1	yes	characteristic
1082	#95	C₂³×C₂₃	1	1	yes	characteristic
1083	#95	C₂³×C₂₃	1	1	yes	characteristic
1084	#95	C₂³×C₂₃	1	1	yes	characteristic
1085	#95	C₂³×C₂₃	1	1	yes	characteristic
1086	#95	C₂³×C₂₃	1	1	yes	characteristic
1087	#95	C₂³×C₂₃	1	1	yes	characteristic
1088	#95	C₂³×C₂₃	1	1	yes	characteristic
1089	#95	C₂³×C₂₃	1	1	yes	characteristic
1090	#95	C₂³×C₂₃	1	1	yes	characteristic
1091	#95	C₂³×C₂₃	1	1	yes	characteristic
1092	#95	C₂³×C₂₃	1	1	yes	characteristic
1093	#95	C₂³×C₂₃	1	1	yes	characteristic
1094	#95	C₂³×C₂₃	1	1	yes	characteristic
1095	#95	C₂³×C₂₃	1	1	yes	characteristic
1096	#95	C₂³×C₂₃	1	1	yes	characteristic
1097	#95	C₂³×C₂₃	1	1	yes	characteristic
1098	#95	C₂³×C₂₃	1	1	yes	characteristic
1099	#95	C₂³×C₂₃	1	1	yes	characteristic
1100	#95	C₂³×C₂₃	1	1	yes	characteristic
1101	#95	C₂³×C₂₃	1	1	yes	characteristic
1102	#95	C₂³×C₂₃	1	1	yes	characteristic
1103	#95	C₂³×C₂₃	1	1	yes	characteristic
1104	#95	C₂³×C₂₃	1	1	yes	characteristic
1105	C₂₃	#36787	1	1	yes	characteristic, direct product factor, Sylow
1106	C₂⁴	—	2	2	no	—
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1114	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1115	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1116	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1117	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	2	2	no	—
1121	C₂×D₄	—	2	2	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	—	4	1	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	#41×C₂₃	1	4	yes	—
1157	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1183	C₄⋊C₄	—	2	2	no	—
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	2	2	no	—
1186	C₄⋊C₄	—	2	2	no	—
1187	C₄⋊C₄	—	2	2	no	—
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	4	1	no	—
1211	C₄⋊C₄	—	4	1	no	—
1212	C₄⋊C₄	—	4	1	no	—
1213	C₄⋊C₄	—	4	1	no	—
1214	C₄⋊C₄	—	4	1	no	—
1215	C₄⋊C₄	—	4	1	no	—
1216	C₄⋊C₄	—	4	1	no	—
1217	C₄⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	4	1	no	—
1242	C₂²⋊C₄	—	4	1	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₄²	—	2	2	no	—
1271	C₄²	—	2	2	no	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	4	1	no	—
1274	C₄²	—	4	1	no	—
1275	C₄²	—	4	1	no	—
1276	C₄²	—	4	1	no	—
1277	C₄²	—	4	1	no	—
1278	C₄²	—	4	1	no	—
1279	C₄²	—	4	1	no	—
1280	C₄²	—	4	1	no	—
1281	C₄²	—	4	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	4	4	no	—
1316	C₂³	—	8	2	no	—
1317	C₂³	—	8	2	no	—
1318	C₂³	—	8	2	no	—
1319	C₂³	—	8	2	no	—
1320	C₂³	—	8	2	no	—
1321	C₂³	—	8	2	no	—
1322	C₂³	C₂×#41×C₂₃	1	2	yes	—
1323	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1324	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1325	D₄	—	4	4	no	—
1326	D₄	—	8	2	no	—
1327	D₄	—	8	2	no	—
1328	D₄	—	8	2	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	4	4	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	4	4	no	—
1410	C₂×C₄	—	4	4	no	—
1411	C₂×C₄	—	8	2	no	—
1412	C₂×C₄	—	8	2	no	—
1413	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1414	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1415	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	8	8	no	—
1452	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1453	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1455	C₂²	C₂₃×#585	1	1	yes	characteristic
1456	C₂²	C₂₃×#585	1	1	yes	characteristic
1457	C₂²	C₂₃×#585	1	1	yes	characteristic
1458	C₂²	C₂₃×#585	1	1	yes	characteristic
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₂	—	4	2	no	—
1486	C₂	—	4	2	no	—
1487	C₂	—	8	1	no	—
1488	C₂	—	8	1	no	—
1489	C₂	—	8	1	no	—
1490	C₂	C₂₃×#3455	1	1	yes	characteristic
1491	C₂	C₂₃×#3494	1	1	yes	characteristic
1492	C₂	C₂₃×#3505	1	1	yes	characteristic
1493	C₂	C₂₃×#3533	1	1	yes	characteristic
1494	C₂	C₂₃×#3542	1	1	yes	characteristic
1495	C₂	C₂₃×#3560	1	1	yes	characteristic
1496	C₂	C₂₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₂₃
prime radical	C₂₃×#2668	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#2854	C₂	semidirect
2. C₂₃×#2852	C₂	semidirect
3. C₂₃×#2795	C₂	semidirect
4. C₂₃×#2783	C₂	semidirect
5. C₂₃×#2779	C₂	semidirect
6. C₂₃×#2757	C₂	semidirect
7. C₂₃×#2743	C₂	semidirect
8. C₂₃×#2738	C₂	semidirect
9. C₂₃×#2735	C₂	semidirect
10. C₂₃×#2725	C₂	semidirect
11. C₂₃×#2718	C₂	semidirect
12. C₂₃×#2711	C₂	semidirect
13. C₂₃×#2706	C₂	semidirect
14. C₂₃×#2701	C₂	semidirect
15. C₂₃×#2697	C₂	semidirect
16. C₂₃×#2695	C₂	semidirect
17. C₂₃×#2685	C₂	semidirect
19. C₂₃×#2654	C₂	semidirect
20. C₂₃×#2651	C₂	semidirect
21. C₂₃×#2602	C₂	semidirect
22. C₂₃×#2597	C₂	semidirect
23. C₂₃×#2559	C₂	semidirect
24. C₂₃×#2534	C₂	semidirect
25. C₂₃×#2529	C₂	semidirect
26. C₂₃×#2526	C₂	semidirect
27. C₂₃×#2441	C₂	semidirect
28. C₂₃×#2411	C₂	semidirect
29. C₂₃×#2335	C₂	semidirect
30. C₂₃×#2312	C₂	semidirect
31. C₂₃×#2290	C₂	semidirect
33. C₂×C₂₃×#126	C₂²	semidirect
34. C₂×C₂₃×#125	C₂²	semidirect
38. C₂×C₂₃×#123	C₂²	semidirect
46. C₂²×C₄²×C₂₃	C₂²	semidirect
47. C₂₃×#400	C₂²	semidirect
48. C₂₃×#400	C₂²	semidirect
49. C₂₃×#400	C₂²	semidirect
50. C₂₃×#400	C₂²	semidirect
51. C₂₃×#400	C₂²	semidirect
52. C₂₃×#400	C₂²	semidirect
56. C₂₃×#399	C₂²	semidirect
57. C₂₃×#398	C₂²	semidirect
58. C₂₃×#398	C₂²	semidirect
59. C₂₃×#398	C₂²	semidirect
60. C₂₃×#398	C₂²	semidirect
61. C₂₃×#398	C₂²	semidirect
69. C₂₃×#397	C₂²	semidirect
70. C₂₃×#397	C₂²	semidirect
80. C₂₃×#396	C₂²	semidirect
93. C₂₃×#394	C₂²	semidirect
100. C₂₃×#390	C₂²	semidirect
101. C₂₃×#389	C₂²	semidirect
102. C₂₃×#389	C₂²	semidirect
103. C₂₃×#389	C₂²	semidirect
104. C₂₃×#389	C₂²	semidirect
105. C₂₃×#389	C₂²	semidirect
106. C₂₃×#389	C₂²	semidirect
107. C₂₃×#389	C₂²	semidirect
108. C₂₃×#389	C₂²	semidirect
132. C₂₃×#388	C₂²	semidirect
133. C₂₃×#388	C₂²	semidirect
134. C₂₃×#388	C₂²	semidirect
135. C₂₃×#388	C₂²	semidirect
136. C₂₃×#388	C₂²	semidirect
137. C₂₃×#388	C₂²	semidirect
138. C₂₃×#388	C₂²	semidirect
139. C₂₃×#387	C₂²	semidirect
140. C₂₃×#387	C₂²	semidirect
141. C₂₃×#387	C₂²	semidirect
142. C₂₃×#387	C₂²	semidirect
143. C₂₃×#387	C₂²	semidirect
144. C₂₃×#387	C₂²	semidirect
145. C₂₃×#387	C₂²	semidirect
146. C₂₃×#387	C₂²	semidirect
147. C₂₃×#387	C₂²	semidirect
148. C₂₃×#387	C₂²	semidirect
158. C₂₃×#386	C₂²	semidirect
160. C₂₃×#385	C₂²	semidirect
161. C₂₃×#385	C₂²	semidirect
162. C₂₃×#385	C₂²	semidirect
163. C₂₃×#385	C₂²	semidirect
164. C₂₃×#385	C₂²	semidirect
165. C₂₃×#385	C₂²	semidirect
166. C₂₃×#385	C₂²	semidirect
167. C₂₃×#384	C₂²	semidirect
168. C₂₃×#383	C₂²	semidirect
169. C₂₃×#382	C₂²	semidirect
171. C₂₃×#381	C₂²	semidirect
175. C₂₃×#380	C₂²	semidirect
180. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
181. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
186. C₂₃×#376	C₂²	semidirect
533. #36787	C₂₃	direct (N × H)
668. #2854	C₂×C₂₃	semidirect
669. #2852	C₂×C₂₃	semidirect
670. #2795	C₂×C₂₃	semidirect
671. #2783	C₂×C₂₃	semidirect
672. #2779	C₂×C₂₃	semidirect
673. #2757	C₂×C₂₃	semidirect
674. #2743	C₂×C₂₃	semidirect
675. #2738	C₂×C₂₃	semidirect
676. #2735	C₂×C₂₃	semidirect
677. #2725	C₂×C₂₃	semidirect
678. #2718	C₂×C₂₃	semidirect
679. #2711	C₂×C₂₃	semidirect
680. #2706	C₂×C₂₃	semidirect
681. #2701	C₂×C₂₃	semidirect
682. #2697	C₂×C₂₃	semidirect
683. #2695	C₂×C₂₃	semidirect
684. #2685	C₂×C₂₃	semidirect
686. #2654	C₂×C₂₃	semidirect
687. #2651	C₂×C₂₃	semidirect
688. #2602	C₂×C₂₃	semidirect
689. #2597	C₂×C₂₃	semidirect
690. #2559	C₂×C₂₃	semidirect
691. #2534	C₂×C₂₃	semidirect
692. #2529	C₂×C₂₃	semidirect
693. #2526	C₂×C₂₃	semidirect
694. #2441	C₂×C₂₃	semidirect
695. #2411	C₂×C₂₃	semidirect
696. #2335	C₂×C₂₃	semidirect
697. #2312	C₂×C₂₃	semidirect
698. #2290	C₂×C₂₃	semidirect
769. C₂×#126	C₂²×C₂₃	semidirect
770. C₂×#125	C₂²×C₂₃	semidirect
774. C₂×#123	C₂²×C₂₃	semidirect
782. C₂²×C₄²	C₂²×C₂₃	semidirect
783. #400	C₂²×C₂₃	semidirect
784. #400	C₂²×C₂₃	semidirect
785. #400	C₂²×C₂₃	semidirect
786. #400	C₂²×C₂₃	semidirect
787. #400	C₂²×C₂₃	semidirect
788. #400	C₂²×C₂₃	semidirect
792. #399	C₂²×C₂₃	semidirect
793. #398	C₂²×C₂₃	semidirect
794. #398	C₂²×C₂₃	semidirect
795. #398	C₂²×C₂₃	semidirect
796. #398	C₂²×C₂₃	semidirect
797. #398	C₂²×C₂₃	semidirect
805. #397	C₂²×C₂₃	semidirect
806. #397	C₂²×C₂₃	semidirect
816. #396	C₂²×C₂₃	semidirect
829. #394	C₂²×C₂₃	semidirect
836. #390	C₂²×C₂₃	semidirect
837. #389	C₂²×C₂₃	semidirect
838. #389	C₂²×C₂₃	semidirect
839. #389	C₂²×C₂₃	semidirect
840. #389	C₂²×C₂₃	semidirect
841. #389	C₂²×C₂₃	semidirect
842. #389	C₂²×C₂₃	semidirect
843. #389	C₂²×C₂₃	semidirect
844. #389	C₂²×C₂₃	semidirect
868. #388	C₂²×C₂₃	semidirect
869. #388	C₂²×C₂₃	semidirect
870. #388	C₂²×C₂₃	semidirect
871. #388	C₂²×C₂₃	semidirect
872. #388	C₂²×C₂₃	semidirect
873. #388	C₂²×C₂₃	semidirect
874. #388	C₂²×C₂₃	semidirect
875. #387	C₂²×C₂₃	semidirect
876. #387	C₂²×C₂₃	semidirect
877. #387	C₂²×C₂₃	semidirect
878. #387	C₂²×C₂₃	semidirect
879. #387	C₂²×C₂₃	semidirect
880. #387	C₂²×C₂₃	semidirect
881. #387	C₂²×C₂₃	semidirect
882. #387	C₂²×C₂₃	semidirect
883. #387	C₂²×C₂₃	semidirect
884. #387	C₂²×C₂₃	semidirect
894. #386	C₂²×C₂₃	semidirect
896. #385	C₂²×C₂₃	semidirect
897. #385	C₂²×C₂₃	semidirect
898. #385	C₂²×C₂₃	semidirect
899. #385	C₂²×C₂₃	semidirect
900. #385	C₂²×C₂₃	semidirect
901. #385	C₂²×C₂₃	semidirect
902. #385	C₂²×C₂₃	semidirect
903. #384	C₂²×C₂₃	semidirect
904. #383	C₂²×C₂₃	semidirect
905. #382	C₂²×C₂₃	semidirect
907. #381	C₂²×C₂₃	semidirect
911. #380	C₂²×C₂₃	semidirect
916. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
917. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
920. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
921. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
922. #376	C₂²×C₂₃	semidirect
1105. C₂₃	#36787	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₃×#2854	2
C₂₃×#2852	2
C₂₃×#2795	2
C₂₃×#2783	2
C₂₃×#2779	2
C₂₃×#2757	2
C₂₃×#2743	2
C₂₃×#2738	2
C₂₃×#2735	2
C₂₃×#2725	2
C₂₃×#2718	2
C₂₃×#2711	2
C₂₃×#2706	2
C₂₃×#2701	2
C₂₃×#2697	2
C₂₃×#2695	2
C₂₃×#2685	2
C₂₃×#2668	2
C₂₃×#2654	2
C₂₃×#2651	2
C₂₃×#2602	2
C₂₃×#2597	2
C₂₃×#2559	2
C₂₃×#2534	2
C₂₃×#2529	2
C₂₃×#2526	2
C₂₃×#2441	2
C₂₃×#2411	2
C₂₃×#2335	2
C₂₃×#2312	2
C₂₃×#2290	2
#36787	23

Subgroups — C23×#36787 #19184413

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#36787 #19184413