Subgroups — C₂₃×#36873 #19184499

Order 5888.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#2853	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2808	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2786	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2773	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2756	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2737	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2723	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2715	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2714	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2705	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2692	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2670	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2668	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2631	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2525	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2523	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2474	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2471	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2467	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₂₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
46	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
52	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
53	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
54	C₂₃×#399	C₂²	1	1	yes	characteristic
55	C₂₃×#399	C₂²	1	1	yes	characteristic
56	C₂₃×#399	C₂²	1	1	yes	characteristic
57	C₂₃×#399	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×#397	C₂²	1	1	yes	characteristic
61	C₂₃×#397	C₂²	1	1	yes	characteristic
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, complemented
69	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
70	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
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, complemented
76	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
78	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#394	C₂²	1	1	yes	characteristic
80	C₂₃×#394	C₂²	1	1	yes	characteristic
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, complemented
90	C₂₃×#393	C₂²	1	1	yes	characteristic
91	C₂₃×#393	C₂²	1	1	yes	characteristic
92	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#392	C₂²	1	1	yes	characteristic
95	C₂₃×#392	C₂²	1	1	yes	characteristic
96	C₂₃×#392	C₂²	1	1	yes	characteristic
97	C₂₃×#392	C₂²	1	1	yes	characteristic
98	C₂₃×#392	C₂²	1	1	yes	characteristic
99	C₂₃×#392	C₂²	1	1	yes	characteristic
100	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#390	C₂²	1	1	yes	characteristic
105	C₂₃×#390	C₂²	1	1	yes	characteristic
106	C₂₃×#390	C₂²	1	1	yes	characteristic
107	C₂₃×#390	C₂²	1	1	yes	characteristic
108	C₂₃×#390	C₂²	1	1	yes	characteristic
109	C₂₃×#390	C₂²	1	1	yes	characteristic
110	C₂₃×#390	C₂²	1	1	yes	characteristic
111	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
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
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×#387	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
159	C₂₃×#386	C₂²	1	1	yes	characteristic
160	C₂₃×#386	C₂²	1	1	yes	characteristic
161	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#385	C₂²	1	1	yes	characteristic
167	C₂₃×#385	C₂²	1	1	yes	characteristic
168	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#383	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#383	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#380	C₂²	1	1	yes	characteristic
176	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
178	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
179	C₂₃×#379	C₂²	1	1	yes	characteristic
180	C₂₃×#379	C₂²	1	1	yes	characteristic
181	C₂₃×#379	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×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	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
209	C₂₃×#126	—	4	2	no	—
210	C₂₃×#126	—	4	2	no	—
211	C₂₃×#124	—	4	2	no	—
212	C₂₃×#124	—	4	2	no	—
213	C₂₃×#124	—	4	2	no	—
214	C₂₃×#123	—	4	2	no	—
215	C₂₃×#123	—	4	2	no	—
216	C₂₃×C₂²⋊Q₈	—	4	2	no	—
217	C₂₃×C₂²⋊Q₈	—	4	2	no	—
218	C₂₃×#121	—	2	4	no	—
219	C₂₃×#121	—	2	4	no	—
220	C₂₃×#121	—	4	2	no	—
221	C₂₃×#120	—	2	4	no	—
222	C₂₃×#120	—	4	2	no	—
223	C₂₃×#120	—	4	2	no	—
224	C₄×D₄×C₂₃	—	4	2	no	—
225	C₄×D₄×C₂₃	—	4	2	no	—
226	C₄×D₄×C₂₃	—	4	2	no	—
227	C₂₃×#117	—	4	2	no	—
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×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
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×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₂₃	—	4	2	no	—
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	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₂₃	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	C₂₃×#95	C₂³	1	1	yes	characteristic
358	C₂₃×#95	C₂³	1	1	yes	characteristic
359	C₂₃×#95	C₂³	1	1	yes	characteristic
360	C₂₃×#95	C₂³	1	1	yes	characteristic
361	C₂₃×#95	C₂³	1	1	yes	characteristic
362	C₂₃×#95	C₂³	1	1	yes	characteristic
363	C₂⁴×C₂₃	—	2	2	no	—
364	C₂⁴×C₂₃	—	4	1	no	—
365	C₂⁴×C₂₃	—	4	1	no	—
366	C₂⁴×C₂₃	—	4	1	no	—
367	C₂⁴×C₂₃	—	4	1	no	—
368	C₂⁴×C₂₃	—	4	1	no	—
369	C₂⁴×C₂₃	—	4	1	no	—
370	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
376	C₂×Q₈×C₂₃	—	2	2	no	—
377	C₂×Q₈×C₂₃	—	4	1	no	—
378	C₂×Q₈×C₂₃	—	4	1	no	—
379	C₂×Q₈×C₂₃	—	4	1	no	—
380	C₂×Q₈×C₂₃	—	4	1	no	—
381	C₂×Q₈×C₂₃	—	4	1	no	—
382	C₂×D₄×C₂₃	—	2	2	no	—
383	C₂×D₄×C₂₃	—	2	2	no	—
384	C₂×D₄×C₂₃	—	2	2	no	—
385	C₂×D₄×C₂₃	—	2	2	no	—
386	C₂×D₄×C₂₃	—	2	2	no	—
387	C₂×D₄×C₂₃	—	2	2	no	—
388	C₂×D₄×C₂₃	—	2	2	no	—
389	C₂×D₄×C₂₃	—	2	2	no	—
390	C₂×D₄×C₂₃	—	4	1	no	—
391	C₂×D₄×C₂₃	—	4	1	no	—
392	C₂×D₄×C₂₃	—	4	1	no	—
393	C₂×D₄×C₂₃	—	4	1	no	—
394	C₂×D₄×C₂₃	—	4	1	no	—
395	C₂×D₄×C₂₃	—	4	1	no	—
396	C₂×D₄×C₂₃	—	4	1	no	—
397	C₂×D₄×C₂₃	—	4	1	no	—
398	C₂×D₄×C₂₃	—	4	1	no	—
399	C₂×D₄×C₂₃	—	4	1	no	—
400	C₂×D₄×C₂₃	—	4	1	no	—
401	C₂×D₄×C₂₃	—	4	1	no	—
402	C₂×D₄×C₂₃	—	4	1	no	—
403	C₂×D₄×C₂₃	—	4	1	no	—
404	C₂×D₄×C₂₃	—	4	1	no	—
405	C₂×D₄×C₂₃	—	4	1	no	—
406	C₂×D₄×C₂₃	—	4	1	no	—
407	C₂×D₄×C₂₃	—	4	1	no	—
408	C₂×D₄×C₂₃	—	4	1	no	—
409	C₂×D₄×C₂₃	—	4	1	no	—
410	C₂×D₄×C₂₃	—	4	1	no	—
411	C₂×D₄×C₂₃	—	4	1	no	—
412	C₂×D₄×C₂₃	—	4	1	no	—
413	C₂×D₄×C₂₃	—	4	1	no	—
414	C₂×D₄×C₂₃	—	4	1	no	—
415	C₂×D₄×C₂₃	—	4	1	no	—
416	C₂×D₄×C₂₃	—	4	1	no	—
417	C₂×D₄×C₂₃	#41	1	4	yes	—
418	C₂²×C₄×C₂₃	—	2	2	no	—
419	C₂²×C₄×C₂₃	—	2	2	no	—
420	C₂²×C₄×C₂₃	—	2	2	no	—
421	C₂²×C₄×C₂₃	—	2	2	no	—
422	C₂²×C₄×C₂₃	—	2	2	no	—
423	C₂²×C₄×C₂₃	—	2	2	no	—
424	C₂²×C₄×C₂₃	—	2	2	no	—
425	C₂²×C₄×C₂₃	—	4	1	no	—
426	C₂²×C₄×C₂₃	—	4	1	no	—
427	C₂²×C₄×C₂₃	—	4	1	no	—
428	C₂²×C₄×C₂₃	—	4	1	no	—
429	C₂²×C₄×C₂₃	—	4	1	no	—
430	C₂²×C₄×C₂₃	—	4	1	no	—
431	C₂²×C₄×C₂₃	—	4	1	no	—
432	C₂²×C₄×C₂₃	—	4	1	no	—
433	C₂²×C₄×C₂₃	—	4	1	no	—
434	C₂²×C₄×C₂₃	—	4	1	no	—
435	C₂²×C₄×C₂₃	—	4	1	no	—
436	C₂²×C₄×C₂₃	—	4	1	no	—
437	C₂²×C₄×C₂₃	—	4	1	no	—
438	C₂²×C₄×C₂₃	—	4	1	no	—
439	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
464	C₄⋊C₄×C₂₃	—	2	2	no	—
465	C₄⋊C₄×C₂₃	—	2	2	no	—
466	C₄⋊C₄×C₂₃	—	2	2	no	—
467	C₄⋊C₄×C₂₃	—	2	2	no	—
468	C₄⋊C₄×C₂₃	—	2	2	no	—
469	C₄⋊C₄×C₂₃	—	2	2	no	—
470	C₄⋊C₄×C₂₃	—	2	2	no	—
471	C₄⋊C₄×C₂₃	—	2	2	no	—
472	C₄⋊C₄×C₂₃	—	4	1	no	—
473	C₄⋊C₄×C₂₃	—	4	1	no	—
474	C₄⋊C₄×C₂₃	—	4	1	no	—
475	C₄⋊C₄×C₂₃	—	4	1	no	—
476	C₄⋊C₄×C₂₃	—	4	1	no	—
477	C₄⋊C₄×C₂₃	—	4	1	no	—
478	C₄⋊C₄×C₂₃	—	4	1	no	—
479	C₄⋊C₄×C₂₃	—	4	1	no	—
480	C₄⋊C₄×C₂₃	—	4	1	no	—
481	C₄⋊C₄×C₂₃	—	4	1	no	—
482	C₄⋊C₄×C₂₃	—	4	1	no	—
483	C₄⋊C₄×C₂₃	—	4	1	no	—
484	C₄⋊C₄×C₂₃	—	4	1	no	—
485	C₄⋊C₄×C₂₃	—	4	1	no	—
486	C₄⋊C₄×C₂₃	—	4	1	no	—
487	C₄⋊C₄×C₂₃	—	4	1	no	—
488	C₄⋊C₄×C₂₃	—	4	1	no	—
489	C₄⋊C₄×C₂₃	—	4	1	no	—
490	C₂²⋊C₄×C₂₃	—	2	2	no	—
491	C₂²⋊C₄×C₂₃	—	2	2	no	—
492	C₂²⋊C₄×C₂₃	—	2	2	no	—
493	C₂²⋊C₄×C₂₃	—	2	2	no	—
494	C₂²⋊C₄×C₂₃	—	2	2	no	—
495	C₂²⋊C₄×C₂₃	—	2	2	no	—
496	C₂²⋊C₄×C₂₃	—	2	2	no	—
497	C₂²⋊C₄×C₂₃	—	2	2	no	—
498	C₂²⋊C₄×C₂₃	—	2	2	no	—
499	C₂²⋊C₄×C₂₃	—	2	2	no	—
500	C₂²⋊C₄×C₂₃	—	2	2	no	—
501	C₂²⋊C₄×C₂₃	—	2	2	no	—
502	C₂²⋊C₄×C₂₃	—	2	2	no	—
503	C₂²⋊C₄×C₂₃	—	2	2	no	—
504	C₂²⋊C₄×C₂₃	—	2	2	no	—
505	C₂²⋊C₄×C₂₃	—	2	2	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	C₂²⋊C₄×C₂₃	—	4	1	no	—
522	C₂²⋊C₄×C₂₃	—	4	1	no	—
523	C₂²⋊C₄×C₂₃	—	4	1	no	—
524	C₂²⋊C₄×C₂₃	—	4	1	no	—
525	C₂²⋊C₄×C₂₃	—	4	1	no	—
526	C₂²⋊C₄×C₂₃	—	4	1	no	—
527	C₂²⋊C₄×C₂₃	—	4	1	no	—
528	C₂²⋊C₄×C₂₃	—	4	1	no	—
529	C₂²⋊C₄×C₂₃	—	4	1	no	—
530	C₂²⋊C₄×C₂₃	—	4	1	no	—
531	C₂²⋊C₄×C₂₃	—	4	1	no	—
532	C₂²⋊C₄×C₂₃	—	4	1	no	—
533	C₂²⋊C₄×C₂₃	—	4	1	no	—
534	C₂²⋊C₄×C₂₃	—	4	1	no	—
535	C₂²⋊C₄×C₂₃	—	4	1	no	—
536	C₂²⋊C₄×C₂₃	—	4	1	no	—
537	C₂²⋊C₄×C₂₃	—	4	1	no	—
538	C₂²⋊C₄×C₂₃	—	4	1	no	—
539	C₂²⋊C₄×C₂₃	—	4	1	no	—
540	C₂²⋊C₄×C₂₃	—	4	1	no	—
541	C₂²⋊C₄×C₂₃	—	4	1	no	—
542	C₂²⋊C₄×C₂₃	—	4	1	no	—
543	C₂²⋊C₄×C₂₃	—	4	1	no	—
544	C₂²⋊C₄×C₂₃	—	4	1	no	—
545	C₂²⋊C₄×C₂₃	—	4	1	no	—
546	C₄²×C₂₃	—	2	2	no	—
547	C₄²×C₂₃	—	2	2	no	—
548	C₄²×C₂₃	—	2	2	no	—
549	C₄²×C₂₃	—	2	2	no	—
550	C₄²×C₂₃	—	4	1	no	—
551	C₄²×C₂₃	—	4	1	no	—
552	C₄²×C₂₃	—	4	1	no	—
553	C₄²×C₂₃	—	4	1	no	—
554	C₄²×C₂₃	—	4	1	no	—
555	C₄²×C₂₃	—	4	1	no	—
556	C₄²×C₂₃	—	4	1	no	—
557	#36873	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
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	—	2	1	no	—
568	C₂³×C₂₃	—	2	1	no	—
569	C₂³×C₂₃	—	2	1	no	—
570	C₂³×C₂₃	—	2	1	no	—
571	C₂³×C₂₃	—	2	1	no	—
572	C₂³×C₂₃	—	2	1	no	—
573	C₂³×C₂₃	—	2	1	no	—
574	C₂³×C₂₃	—	2	1	no	—
575	C₂³×C₂₃	—	2	1	no	—
576	C₂³×C₂₃	—	2	1	no	—
577	C₂³×C₂₃	—	2	1	no	—
578	C₂³×C₂₃	—	2	1	no	—
579	C₂³×C₂₃	—	2	1	no	—
580	C₂³×C₂₃	—	2	1	no	—
581	C₂³×C₂₃	—	2	1	no	—
582	C₂³×C₂₃	—	2	1	no	—
583	C₂³×C₂₃	—	2	1	no	—
584	C₂³×C₂₃	—	2	1	no	—
585	C₂³×C₂₃	—	2	1	no	—
586	C₂³×C₂₃	—	2	1	no	—
587	C₂³×C₂₃	—	2	1	no	—
588	C₂³×C₂₃	—	2	1	no	—
589	C₂³×C₂₃	—	2	1	no	—
590	C₂³×C₂₃	—	2	1	no	—
591	C₂³×C₂₃	—	2	1	no	—
592	C₂³×C₂₃	—	2	1	no	—
593	C₂³×C₂₃	—	2	1	no	—
594	C₂³×C₂₃	—	2	1	no	—
595	C₂³×C₂₃	—	2	1	no	—
596	C₂³×C₂₃	—	2	1	no	—
597	C₂³×C₂₃	—	2	1	no	—
598	C₂³×C₂₃	—	4	4	no	—
599	C₂³×C₂₃	—	8	2	no	—
600	C₂³×C₂₃	—	8	2	no	—
601	C₂³×C₂₃	—	8	2	no	—
602	C₂³×C₂₃	—	8	2	no	—
603	C₂³×C₂₃	—	8	2	no	—
604	C₂³×C₂₃	—	8	2	no	—
605	C₂³×C₂₃	C₂×#41	1	2	yes	—
606	C₂³×C₂₃	C₂×#41	1	2	yes	—
607	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
608	Q₈×C₂₃	—	8	2	no	—
609	Q₈×C₂₃	—	8	2	no	—
610	D₄×C₂₃	—	4	4	no	—
611	D₄×C₂₃	—	4	4	no	—
612	D₄×C₂₃	—	4	4	no	—
613	D₄×C₂₃	—	8	2	no	—
614	D₄×C₂₃	—	8	2	no	—
615	D₄×C₂₃	—	8	2	no	—
616	D₄×C₂₃	—	8	2	no	—
617	D₄×C₂₃	—	8	2	no	—
618	D₄×C₂₃	—	8	2	no	—
619	D₄×C₂₃	—	8	2	no	—
620	D₄×C₂₃	—	8	2	no	—
621	D₄×C₂₃	—	8	2	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	—	2	1	no	—
660	C₂×C₄×C₂₃	—	2	1	no	—
661	C₂×C₄×C₂₃	—	2	1	no	—
662	C₂×C₄×C₂₃	—	2	1	no	—
663	C₂×C₄×C₂₃	—	2	1	no	—
664	C₂×C₄×C₂₃	—	2	1	no	—
665	C₂×C₄×C₂₃	—	2	1	no	—
666	C₂×C₄×C₂₃	—	2	1	no	—
667	C₂×C₄×C₂₃	—	2	1	no	—
668	C₂×C₄×C₂₃	—	2	1	no	—
669	C₂×C₄×C₂₃	—	2	1	no	—
670	C₂×C₄×C₂₃	—	2	1	no	—
671	C₂×C₄×C₂₃	—	2	1	no	—
672	C₂×C₄×C₂₃	—	2	1	no	—
673	C₂×C₄×C₂₃	—	2	1	no	—
674	C₂×C₄×C₂₃	—	2	1	no	—
675	C₂×C₄×C₂₃	—	2	1	no	—
676	C₂×C₄×C₂₃	—	2	1	no	—
677	C₂×C₄×C₂₃	—	2	1	no	—
678	C₂×C₄×C₂₃	—	2	1	no	—
679	C₂×C₄×C₂₃	—	2	1	no	—
680	C₂×C₄×C₂₃	—	2	1	no	—
681	C₂×C₄×C₂₃	—	2	1	no	—
682	C₂×C₄×C₂₃	—	2	1	no	—
683	C₂×C₄×C₂₃	—	2	1	no	—
684	C₂×C₄×C₂₃	—	2	1	no	—
685	C₂×C₄×C₂₃	—	2	1	no	—
686	C₂×C₄×C₂₃	—	2	1	no	—
687	C₂×C₄×C₂₃	—	2	1	no	—
688	C₂×C₄×C₂₃	—	2	1	no	—
689	C₂×C₄×C₂₃	—	2	1	no	—
690	C₂×C₄×C₂₃	—	2	1	no	—
691	C₂×C₄×C₂₃	—	2	1	no	—
692	C₂×C₄×C₂₃	—	2	1	no	—
693	C₂×C₄×C₂₃	—	4	4	no	—
694	C₂×C₄×C₂₃	—	4	4	no	—
695	C₂×C₄×C₂₃	—	4	4	no	—
696	C₂×C₄×C₂₃	—	4	4	no	—
697	C₂×C₄×C₂₃	—	8	2	no	—
698	C₂×C₄×C₂₃	—	8	2	no	—
699	C₂×C₄×C₂₃	—	8	2	no	—
700	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
701	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
702	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
703	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
704	#2853	C₂×C₂₃	1	1	yes	characteristic, complemented
705	#2850	C₂×C₂₃	1	1	yes	characteristic, complemented
706	#2808	C₂×C₂₃	1	1	yes	characteristic, complemented
707	#2786	C₂×C₂₃	1	1	yes	characteristic, complemented
708	#2773	C₂×C₂₃	1	1	yes	characteristic, complemented
709	#2756	C₂×C₂₃	1	1	yes	characteristic, complemented
710	#2737	C₂×C₂₃	1	1	yes	characteristic, complemented
711	#2735	C₂×C₂₃	1	1	yes	characteristic, complemented
712	#2730	C₂×C₂₃	1	1	yes	characteristic, complemented
713	#2723	C₂×C₂₃	1	1	yes	characteristic, complemented
714	#2715	C₂×C₂₃	1	1	yes	characteristic, complemented
715	#2714	C₂×C₂₃	1	1	yes	characteristic, complemented
716	#2705	C₂×C₂₃	1	1	yes	characteristic, complemented
717	#2692	C₂×C₂₃	1	1	yes	characteristic, complemented
718	#2688	C₂×C₂₃	1	1	yes	characteristic, complemented
719	#2678	C₂×C₂₃	1	1	yes	characteristic, complemented
720	#2670	C₂×C₂₃	1	1	yes	characteristic, complemented
721	#2668	C₂×C₂₃	1	1	yes	characteristic, complemented
722	#2631	C₂×C₂₃	1	1	yes	characteristic, complemented
723	#2630	C₂×C₂₃	1	1	yes	characteristic, complemented
724	#2525	C₂×C₂₃	1	1	yes	characteristic, complemented
725	#2523	C₂×C₂₃	1	1	yes	characteristic, complemented
726	#2521	C₂×C₂₃	1	1	yes	characteristic, complemented
727	#2474	C₂×C₂₃	1	1	yes	characteristic, complemented
728	#2472	C₂×C₂₃	1	1	yes	characteristic, complemented
729	#2471	C₂×C₂₃	1	1	yes	characteristic, complemented
730	#2467	C₂×C₂₃	1	1	yes	characteristic, complemented
731	#2418	C₂×C₂₃	1	1	yes	characteristic, complemented
732	#2324	C₂×C₂₃	1	1	yes	characteristic, complemented
733	#2321	C₂×C₂₃	1	1	yes	characteristic, complemented
734	C₄×#121	C₂×C₂₃	1	1	yes	characteristic, complemented
735	C₂²×C₂₃	—	2	2	no	—
736	C₂²×C₂₃	—	2	2	no	—
737	C₂²×C₂₃	—	2	2	no	—
738	C₂²×C₂₃	—	2	2	no	—
739	C₂²×C₂₃	—	2	2	no	—
740	C₂²×C₂₃	—	2	2	no	—
741	C₂²×C₂₃	—	4	1	no	—
742	C₂²×C₂₃	—	4	1	no	—
743	C₂²×C₂₃	—	4	1	no	—
744	C₂²×C₂₃	—	4	1	no	—
745	C₂²×C₂₃	—	4	1	no	—
746	C₂²×C₂₃	—	4	1	no	—
747	C₂²×C₂₃	—	4	1	no	—
748	C₂²×C₂₃	—	4	1	no	—
749	C₂²×C₂₃	—	4	1	no	—
750	C₂²×C₂₃	—	4	1	no	—
751	C₂²×C₂₃	—	4	1	no	—
752	C₂²×C₂₃	—	4	1	no	—
753	C₂²×C₂₃	—	4	1	no	—
754	C₂²×C₂₃	—	4	1	no	—
755	C₂²×C₂₃	—	4	1	no	—
756	C₂²×C₂₃	—	4	1	no	—
757	C₂²×C₂₃	—	4	1	no	—
758	C₂²×C₂₃	—	4	1	no	—
759	C₂²×C₂₃	—	4	1	no	—
760	C₂²×C₂₃	—	4	1	no	—
761	C₂²×C₂₃	—	4	1	no	—
762	C₂²×C₂₃	—	4	1	no	—
763	C₂²×C₂₃	—	4	1	no	—
764	C₂²×C₂₃	—	4	1	no	—
765	C₂²×C₂₃	—	4	1	no	—
766	C₂²×C₂₃	—	4	1	no	—
767	C₂²×C₂₃	—	4	1	no	—
768	C₂²×C₂₃	—	4	1	no	—
769	C₂²×C₂₃	—	4	1	no	—
770	C₂²×C₂₃	—	4	1	no	—
771	C₂²×C₂₃	—	4	1	no	—
772	C₂²×C₂₃	—	4	1	no	—
773	C₂²×C₂₃	—	4	1	no	—
774	C₂²×C₂₃	—	4	1	no	—
775	C₂²×C₂₃	—	4	1	no	—
776	C₂²×C₂₃	—	4	1	no	—
777	C₂²×C₂₃	—	8	8	no	—
778	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
779	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
781	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
782	C₂²×C₂₃	#585	1	1	yes	characteristic
783	C₂²×C₂₃	#585	1	1	yes	characteristic
784	C₂²×C₂₃	#585	1	1	yes	characteristic
785	C₄×C₂₃	—	2	2	no	—
786	C₄×C₂₃	—	2	2	no	—
787	C₄×C₂₃	—	2	2	no	—
788	C₄×C₂₃	—	2	2	no	—
789	C₄×C₂₃	—	4	1	no	—
790	C₄×C₂₃	—	4	1	no	—
791	C₄×C₂₃	—	4	1	no	—
792	C₄×C₂₃	—	4	1	no	—
793	C₄×C₂₃	—	4	1	no	—
794	C₄×C₂₃	—	4	1	no	—
795	C₄×C₂₃	—	4	1	no	—
796	C₄×C₂₃	—	4	1	no	—
797	C₄×C₂₃	—	4	1	no	—
798	C₄×C₂₃	—	4	1	no	—
799	C₄×C₂₃	—	4	1	no	—
800	C₄×C₂₃	—	4	1	no	—
801	C₄×C₂₃	—	4	1	no	—
802	C₄×C₂₃	—	4	1	no	—
803	C₄×C₂₃	—	4	1	no	—
804	C₄×C₂₃	—	4	1	no	—
805	C₄×C₂₃	—	4	1	no	—
806	C₄×C₂₃	—	4	1	no	—
807	C₄×C₂₃	—	4	1	no	—
808	C₄×C₂₃	—	4	1	no	—
809	C₄×C₂₃	—	4	1	no	—
810	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
811	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
812	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
813	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
814	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
815	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
816	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
817	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
818	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
819	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
820	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
821	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
822	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
823	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
824	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
825	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
826	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
827	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
828	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
829	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
830	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
831	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
832	#399	C₂²×C₂₃	1	1	yes	characteristic
833	#399	C₂²×C₂₃	1	1	yes	characteristic
834	#399	C₂²×C₂₃	1	1	yes	characteristic
835	#399	C₂²×C₂₃	1	1	yes	characteristic, complemented
836	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
837	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
838	#397	C₂²×C₂₃	1	1	yes	characteristic
839	#397	C₂²×C₂₃	1	1	yes	characteristic
840	#397	C₂²×C₂₃	1	1	yes	characteristic
841	#397	C₂²×C₂₃	1	1	yes	characteristic
842	#397	C₂²×C₂₃	1	1	yes	characteristic
843	#397	C₂²×C₂₃	1	1	yes	characteristic
844	#397	C₂²×C₂₃	1	1	yes	characteristic
845	#397	C₂²×C₂₃	1	1	yes	characteristic
846	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
847	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
848	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
849	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
850	#396	C₂²×C₂₃	1	1	yes	characteristic
851	#396	C₂²×C₂₃	1	1	yes	characteristic
852	#396	C₂²×C₂₃	1	1	yes	characteristic
853	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
854	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
855	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
856	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
857	#394	C₂²×C₂₃	1	1	yes	characteristic
858	#394	C₂²×C₂₃	1	1	yes	characteristic
859	#394	C₂²×C₂₃	1	1	yes	characteristic
860	#394	C₂²×C₂₃	1	1	yes	characteristic
861	#394	C₂²×C₂₃	1	1	yes	characteristic
862	#394	C₂²×C₂₃	1	1	yes	characteristic
863	#394	C₂²×C₂₃	1	1	yes	characteristic
864	#394	C₂²×C₂₃	1	1	yes	characteristic
865	#394	C₂²×C₂₃	1	1	yes	characteristic
866	#394	C₂²×C₂₃	1	1	yes	characteristic
867	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
868	#393	C₂²×C₂₃	1	1	yes	characteristic
869	#393	C₂²×C₂₃	1	1	yes	characteristic
870	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
871	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
872	#392	C₂²×C₂₃	1	1	yes	characteristic
873	#392	C₂²×C₂₃	1	1	yes	characteristic
874	#392	C₂²×C₂₃	1	1	yes	characteristic
875	#392	C₂²×C₂₃	1	1	yes	characteristic
876	#392	C₂²×C₂₃	1	1	yes	characteristic
877	#392	C₂²×C₂₃	1	1	yes	characteristic
878	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
879	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
880	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
881	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
882	#390	C₂²×C₂₃	1	1	yes	characteristic
883	#390	C₂²×C₂₃	1	1	yes	characteristic
884	#390	C₂²×C₂₃	1	1	yes	characteristic
885	#390	C₂²×C₂₃	1	1	yes	characteristic
886	#390	C₂²×C₂₃	1	1	yes	characteristic
887	#390	C₂²×C₂₃	1	1	yes	characteristic
888	#390	C₂²×C₂₃	1	1	yes	characteristic
889	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
890	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
891	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
892	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
893	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
894	#388	C₂²×C₂₃	1	1	yes	characteristic
895	#388	C₂²×C₂₃	1	1	yes	characteristic
896	#388	C₂²×C₂₃	1	1	yes	characteristic
897	#388	C₂²×C₂₃	1	1	yes	characteristic
898	#388	C₂²×C₂₃	1	1	yes	characteristic
899	#388	C₂²×C₂₃	1	1	yes	characteristic
900	#388	C₂²×C₂₃	1	1	yes	characteristic
901	#388	C₂²×C₂₃	1	1	yes	characteristic
902	#388	C₂²×C₂₃	1	1	yes	characteristic
903	#388	C₂²×C₂₃	1	1	yes	characteristic
904	#388	C₂²×C₂₃	1	1	yes	characteristic
905	#388	C₂²×C₂₃	1	1	yes	characteristic
906	#388	C₂²×C₂₃	1	1	yes	characteristic
907	#388	C₂²×C₂₃	1	1	yes	characteristic
908	#388	C₂²×C₂₃	1	1	yes	characteristic
909	#388	C₂²×C₂₃	1	1	yes	characteristic
910	#388	C₂²×C₂₃	1	1	yes	characteristic
911	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
912	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
913	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
914	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
915	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
916	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
918	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
919	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#386	C₂²×C₂₃	1	1	yes	characteristic
928	#386	C₂²×C₂₃	1	1	yes	characteristic
929	#386	C₂²×C₂₃	1	1	yes	characteristic
930	#386	C₂²×C₂₃	1	1	yes	characteristic
931	#386	C₂²×C₂₃	1	1	yes	characteristic
932	#386	C₂²×C₂₃	1	1	yes	characteristic
933	#386	C₂²×C₂₃	1	1	yes	characteristic
934	#386	C₂²×C₂₃	1	1	yes	characteristic
935	#386	C₂²×C₂₃	1	1	yes	characteristic
936	#386	C₂²×C₂₃	1	1	yes	characteristic
937	#386	C₂²×C₂₃	1	1	yes	characteristic
938	#386	C₂²×C₂₃	1	1	yes	characteristic
939	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
941	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#385	C₂²×C₂₃	1	1	yes	characteristic
945	#385	C₂²×C₂₃	1	1	yes	characteristic
946	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
947	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
948	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#383	C₂²×C₂₃	1	1	yes	characteristic, complemented
950	#383	C₂²×C₂₃	1	1	yes	characteristic, complemented
951	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
952	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
953	#380	C₂²×C₂₃	1	1	yes	characteristic
954	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
955	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
956	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
957	#379	C₂²×C₂₃	1	1	yes	characteristic
958	#379	C₂²×C₂₃	1	1	yes	characteristic
959	#379	C₂²×C₂₃	1	1	yes	characteristic
960	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
963	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
964	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	C₂×C₂₃	—	4	2	no	—
966	C₂×C₂₃	—	4	2	no	—
967	C₂×C₂₃	—	8	1	no	—
968	C₂×C₂₃	—	8	1	no	—
969	C₂×C₂₃	—	8	1	no	—
970	C₂×C₂₃	—	8	1	no	—
971	C₂×C₂₃	#3459	1	1	yes	characteristic
972	C₂×C₂₃	#3513	1	1	yes	characteristic
973	C₂×C₂₃	#3514	1	1	yes	characteristic
974	C₂×C₂₃	#3542	1	1	yes	characteristic
975	C₂×C₂₃	#3542	1	1	yes	characteristic
976	C₂×C₂₃	#3546	1	1	yes	characteristic
977	C₂×C₂₃	#3568	1	1	yes	characteristic
978	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
979	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
980	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
981	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
982	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
983	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
984	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
985	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
987	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
988	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
989	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
990	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
991	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
992	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
996	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1000	#126	—	4	2	no	—
1001	#126	—	4	2	no	—
1002	#124	—	4	2	no	—
1003	#124	—	4	2	no	—
1004	#124	—	4	2	no	—
1005	#123	—	4	2	no	—
1006	#123	—	4	2	no	—
1007	C₂²⋊Q₈	—	4	2	no	—
1008	C₂²⋊Q₈	—	4	2	no	—
1009	#121	—	2	4	no	—
1010	#121	—	2	4	no	—
1011	#121	—	4	2	no	—
1012	#120	—	2	4	no	—
1013	#120	—	4	2	no	—
1014	#120	—	4	2	no	—
1015	C₄×D₄	—	4	2	no	—
1016	C₄×D₄	—	4	2	no	—
1017	C₄×D₄	—	4	2	no	—
1018	#117	—	4	2	no	—
1019	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1102	C₂×C₄²	—	4	2	no	—
1103	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1104	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1106	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1107	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1108	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1109	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1110	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1111	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1112	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1113	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1114	#95	C₂³×C₂₃	1	1	yes	characteristic
1115	#95	C₂³×C₂₃	1	1	yes	characteristic
1116	#95	C₂³×C₂₃	1	1	yes	characteristic
1117	#95	C₂³×C₂₃	1	1	yes	characteristic
1118	#95	C₂³×C₂₃	1	1	yes	characteristic
1119	#95	C₂³×C₂₃	1	1	yes	characteristic
1120	#95	C₂³×C₂₃	1	1	yes	characteristic
1121	#95	C₂³×C₂₃	1	1	yes	characteristic
1122	#95	C₂³×C₂₃	1	1	yes	characteristic
1123	#95	C₂³×C₂₃	1	1	yes	characteristic
1124	#95	C₂³×C₂₃	1	1	yes	characteristic
1125	#95	C₂³×C₂₃	1	1	yes	characteristic
1126	#95	C₂³×C₂₃	1	1	yes	characteristic
1127	#95	C₂³×C₂₃	1	1	yes	characteristic
1128	#95	C₂³×C₂₃	1	1	yes	characteristic
1129	#95	C₂³×C₂₃	1	1	yes	characteristic
1130	#95	C₂³×C₂₃	1	1	yes	characteristic
1131	#95	C₂³×C₂₃	1	1	yes	characteristic
1132	#95	C₂³×C₂₃	1	1	yes	characteristic
1133	#95	C₂³×C₂₃	1	1	yes	characteristic
1134	#95	C₂³×C₂₃	1	1	yes	characteristic
1135	#95	C₂³×C₂₃	1	1	yes	characteristic
1136	#95	C₂³×C₂₃	1	1	yes	characteristic
1137	#95	C₂³×C₂₃	1	1	yes	characteristic
1138	#95	C₂³×C₂₃	1	1	yes	characteristic
1139	#95	C₂³×C₂₃	1	1	yes	characteristic
1140	#95	C₂³×C₂₃	1	1	yes	characteristic
1141	#95	C₂³×C₂₃	1	1	yes	characteristic
1142	#95	C₂³×C₂₃	1	1	yes	characteristic
1143	#95	C₂³×C₂₃	1	1	yes	characteristic
1144	#95	C₂³×C₂₃	1	1	yes	characteristic
1145	#95	C₂³×C₂₃	1	1	yes	characteristic
1146	#95	C₂³×C₂₃	1	1	yes	characteristic
1147	#95	C₂³×C₂₃	1	1	yes	characteristic
1148	#95	C₂³×C₂₃	1	1	yes	characteristic
1149	#95	C₂³×C₂₃	1	1	yes	characteristic
1150	#95	C₂³×C₂₃	1	1	yes	characteristic
1151	#95	C₂³×C₂₃	1	1	yes	characteristic
1152	#95	C₂³×C₂₃	1	1	yes	characteristic
1153	#95	C₂³×C₂₃	1	1	yes	characteristic
1154	C₂₃	#36873	1	1	yes	characteristic, direct product factor, Sylow
1155	C₂⁴	—	2	2	no	—
1156	C₂⁴	—	4	1	no	—
1157	C₂⁴	—	4	1	no	—
1158	C₂⁴	—	4	1	no	—
1159	C₂⁴	—	4	1	no	—
1160	C₂⁴	—	4	1	no	—
1161	C₂⁴	—	4	1	no	—
1162	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1163	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1164	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1165	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1166	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1167	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1168	C₂×Q₈	—	2	2	no	—
1169	C₂×Q₈	—	4	1	no	—
1170	C₂×Q₈	—	4	1	no	—
1171	C₂×Q₈	—	4	1	no	—
1172	C₂×Q₈	—	4	1	no	—
1173	C₂×Q₈	—	4	1	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	2	no	—
1176	C₂×D₄	—	2	2	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	2	2	no	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	#41×C₂₃	1	4	yes	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₄²	—	2	2	no	—
1339	C₄²	—	2	2	no	—
1340	C₄²	—	2	2	no	—
1341	C₄²	—	2	2	no	—
1342	C₄²	—	4	1	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	—	4	1	no	—
1345	C₄²	—	4	1	no	—
1346	C₄²	—	4	1	no	—
1347	C₄²	—	4	1	no	—
1348	C₄²	—	4	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	8	2	no	—
1391	C₂³	—	8	2	no	—
1392	C₂³	—	8	2	no	—
1393	C₂³	—	8	2	no	—
1394	C₂³	—	8	2	no	—
1395	C₂³	—	8	2	no	—
1396	C₂³	C₂×#41×C₂₃	1	2	yes	—
1397	C₂³	C₂×#41×C₂₃	1	2	yes	—
1398	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1399	Q₈	—	8	2	no	—
1400	Q₈	—	8	2	no	—
1401	D₄	—	4	4	no	—
1402	D₄	—	4	4	no	—
1403	D₄	—	4	4	no	—
1404	D₄	—	8	2	no	—
1405	D₄	—	8	2	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	8	2	no	—
1408	D₄	—	8	2	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	D₄	—	8	2	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	4	4	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	4	4	no	—
1487	C₂×C₄	—	4	4	no	—
1488	C₂×C₄	—	8	2	no	—
1489	C₂×C₄	—	8	2	no	—
1490	C₂×C₄	—	8	2	no	—
1491	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1492	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1493	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1494	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	8	8	no	—
1538	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1539	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1540	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1541	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1542	C₂²	C₂₃×#585	1	1	yes	characteristic
1543	C₂²	C₂₃×#585	1	1	yes	characteristic
1544	C₂²	C₂₃×#585	1	1	yes	characteristic
1545	C₄	—	2	2	no	—
1546	C₄	—	2	2	no	—
1547	C₄	—	2	2	no	—
1548	C₄	—	2	2	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₂	—	4	2	no	—
1571	C₂	—	4	2	no	—
1572	C₂	—	8	1	no	—
1573	C₂	—	8	1	no	—
1574	C₂	—	8	1	no	—
1575	C₂	—	8	1	no	—
1576	C₂	C₂₃×#3459	1	1	yes	characteristic
1577	C₂	C₂₃×#3513	1	1	yes	characteristic
1578	C₂	C₂₃×#3514	1	1	yes	characteristic
1579	C₂	C₂₃×#3542	1	1	yes	characteristic
1580	C₂	C₂₃×#3542	1	1	yes	characteristic
1581	C₂	C₂₃×#3546	1	1	yes	characteristic
1582	C₂	C₂₃×#3568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₂₃
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×#2853	C₂	semidirect
2. C₂₃×#2850	C₂	semidirect
3. C₂₃×#2808	C₂	semidirect
4. C₂₃×#2786	C₂	semidirect
5. C₂₃×#2773	C₂	semidirect
6. C₂₃×#2756	C₂	semidirect
7. C₂₃×#2737	C₂	semidirect
8. C₂₃×#2735	C₂	semidirect
9. C₂₃×#2730	C₂	semidirect
10. C₂₃×#2723	C₂	semidirect
11. C₂₃×#2715	C₂	semidirect
12. C₂₃×#2714	C₂	semidirect
13. C₂₃×#2705	C₂	semidirect
14. C₂₃×#2692	C₂	semidirect
15. C₂₃×#2688	C₂	semidirect
16. C₂₃×#2678	C₂	semidirect
17. C₂₃×#2670	C₂	semidirect
18. C₂₃×#2668	C₂	semidirect
19. C₂₃×#2631	C₂	semidirect
20. C₂₃×#2630	C₂	semidirect
21. C₂₃×#2525	C₂	semidirect
22. C₂₃×#2523	C₂	semidirect
23. C₂₃×#2521	C₂	semidirect
24. C₂₃×#2474	C₂	semidirect
25. C₂₃×#2472	C₂	semidirect
26. C₂₃×#2471	C₂	semidirect
27. C₂₃×#2467	C₂	semidirect
28. C₂₃×#2418	C₂	semidirect
29. C₂₃×#2324	C₂	semidirect
30. C₂₃×#2321	C₂	semidirect
31. C₄×C₂₃×#121	C₂	semidirect
32. C₂×C₂₃×#126	C₂²	semidirect
33. C₂×C₂₃×#126	C₂²	semidirect
40. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
49. C₂×C₄×D₄×C₂₃	C₂²	semidirect
50. C₂×C₂₃×#117	C₂²	semidirect
52. C₂²×C₄²×C₂₃	C₂²	semidirect
53. C₂₃×#400	C₂²	semidirect
57. C₂₃×#399	C₂²	semidirect
58. C₂₃×#398	C₂²	semidirect
59. C₂₃×#398	C₂²	semidirect
68. C₂₃×#397	C₂²	semidirect
69. C₂₃×#397	C₂²	semidirect
70. C₂₃×#397	C₂²	semidirect
71. C₂₃×#397	C₂²	semidirect
75. C₂₃×#396	C₂²	semidirect
76. C₂₃×#396	C₂²	semidirect
77. C₂₃×#395	C₂²	semidirect
78. C₂₃×#395	C₂²	semidirect
89. C₂₃×#394	C₂²	semidirect
92. C₂₃×#393	C₂²	semidirect
93. C₂₃×#393	C₂²	semidirect
100. C₂₃×#392	C₂²	semidirect
101. C₂₃×#391	C₂²	semidirect
102. C₂₃×#391	C₂²	semidirect
103. C₂₃×#391	C₂²	semidirect
111. C₂₃×#390	C₂²	semidirect
112. C₂₃×#390	C₂²	semidirect
113. C₂₃×#389	C₂²	semidirect
114. C₂₃×#389	C₂²	semidirect
115. C₂₃×#389	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×#387	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
161. C₂₃×#386	C₂²	semidirect
162. C₂₃×#386	C₂²	semidirect
163. C₂₃×#386	C₂²	semidirect
164. C₂₃×#386	C₂²	semidirect
165. C₂₃×#386	C₂²	semidirect
168. C₂₃×#385	C₂²	semidirect
169. C₂₃×#385	C₂²	semidirect
170. C₂₃×#385	C₂²	semidirect
171. C₂₃×#383	C₂²	semidirect
172. C₂₃×#383	C₂²	semidirect
173. C₂₃×#382	C₂²	semidirect
174. C₂₃×#381	C₂²	semidirect
176. C₂₃×#380	C₂²	semidirect
177. C₂₃×#380	C₂²	semidirect
178. C₂₃×#380	C₂²	semidirect
182. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
183. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
557. #36873	C₂₃	direct (N × H)
704. #2853	C₂×C₂₃	semidirect
705. #2850	C₂×C₂₃	semidirect
706. #2808	C₂×C₂₃	semidirect
707. #2786	C₂×C₂₃	semidirect
708. #2773	C₂×C₂₃	semidirect
709. #2756	C₂×C₂₃	semidirect
710. #2737	C₂×C₂₃	semidirect
711. #2735	C₂×C₂₃	semidirect
712. #2730	C₂×C₂₃	semidirect
713. #2723	C₂×C₂₃	semidirect
714. #2715	C₂×C₂₃	semidirect
715. #2714	C₂×C₂₃	semidirect
716. #2705	C₂×C₂₃	semidirect
717. #2692	C₂×C₂₃	semidirect
718. #2688	C₂×C₂₃	semidirect
719. #2678	C₂×C₂₃	semidirect
720. #2670	C₂×C₂₃	semidirect
721. #2668	C₂×C₂₃	semidirect
722. #2631	C₂×C₂₃	semidirect
723. #2630	C₂×C₂₃	semidirect
724. #2525	C₂×C₂₃	semidirect
725. #2523	C₂×C₂₃	semidirect
726. #2521	C₂×C₂₃	semidirect
727. #2474	C₂×C₂₃	semidirect
728. #2472	C₂×C₂₃	semidirect
729. #2471	C₂×C₂₃	semidirect
730. #2467	C₂×C₂₃	semidirect
731. #2418	C₂×C₂₃	semidirect
732. #2324	C₂×C₂₃	semidirect
733. #2321	C₂×C₂₃	semidirect
734. C₄×#121	C₂×C₂₃	semidirect
810. C₂×#126	C₂²×C₂₃	semidirect
811. C₂×#126	C₂²×C₂₃	semidirect
818. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
827. C₂×C₄×D₄	C₂²×C₂₃	semidirect
828. C₂×#117	C₂²×C₂₃	semidirect
830. C₂²×C₄²	C₂²×C₂₃	semidirect
831. #400	C₂²×C₂₃	semidirect
835. #399	C₂²×C₂₃	semidirect
836. #398	C₂²×C₂₃	semidirect
837. #398	C₂²×C₂₃	semidirect
846. #397	C₂²×C₂₃	semidirect
847. #397	C₂²×C₂₃	semidirect
848. #397	C₂²×C₂₃	semidirect
849. #397	C₂²×C₂₃	semidirect
853. #396	C₂²×C₂₃	semidirect
854. #396	C₂²×C₂₃	semidirect
855. #395	C₂²×C₂₃	semidirect
856. #395	C₂²×C₂₃	semidirect
867. #394	C₂²×C₂₃	semidirect
870. #393	C₂²×C₂₃	semidirect
871. #393	C₂²×C₂₃	semidirect
878. #392	C₂²×C₂₃	semidirect
879. #391	C₂²×C₂₃	semidirect
880. #391	C₂²×C₂₃	semidirect
881. #391	C₂²×C₂₃	semidirect
889. #390	C₂²×C₂₃	semidirect
890. #390	C₂²×C₂₃	semidirect
891. #389	C₂²×C₂₃	semidirect
892. #389	C₂²×C₂₃	semidirect
893. #389	C₂²×C₂₃	semidirect
911. #388	C₂²×C₂₃	semidirect
912. #388	C₂²×C₂₃	semidirect
913. #388	C₂²×C₂₃	semidirect
914. #388	C₂²×C₂₃	semidirect
915. #388	C₂²×C₂₃	semidirect
916. #387	C₂²×C₂₃	semidirect
917. #387	C₂²×C₂₃	semidirect
918. #387	C₂²×C₂₃	semidirect
919. #387	C₂²×C₂₃	semidirect
920. #387	C₂²×C₂₃	semidirect
921. #387	C₂²×C₂₃	semidirect
922. #387	C₂²×C₂₃	semidirect
923. #387	C₂²×C₂₃	semidirect
924. #387	C₂²×C₂₃	semidirect
925. #387	C₂²×C₂₃	semidirect
926. #387	C₂²×C₂₃	semidirect
939. #386	C₂²×C₂₃	semidirect
940. #386	C₂²×C₂₃	semidirect
941. #386	C₂²×C₂₃	semidirect
942. #386	C₂²×C₂₃	semidirect
943. #386	C₂²×C₂₃	semidirect
946. #385	C₂²×C₂₃	semidirect
947. #385	C₂²×C₂₃	semidirect
948. #385	C₂²×C₂₃	semidirect
949. #383	C₂²×C₂₃	semidirect
950. #383	C₂²×C₂₃	semidirect
951. #382	C₂²×C₂₃	semidirect
952. #381	C₂²×C₂₃	semidirect
954. #380	C₂²×C₂₃	semidirect
955. #380	C₂²×C₂₃	semidirect
956. #380	C₂²×C₂₃	semidirect
960. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
961. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
964. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1154. C₂₃	#36873	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×#2853	2
C₂₃×#2850	2
C₂₃×#2808	2
C₂₃×#2786	2
C₂₃×#2773	2
C₂₃×#2756	2
C₂₃×#2737	2
C₂₃×#2735	2
C₂₃×#2730	2
C₂₃×#2723	2
C₂₃×#2715	2
C₂₃×#2714	2
C₂₃×#2705	2
C₂₃×#2692	2
C₂₃×#2688	2
C₂₃×#2678	2
C₂₃×#2670	2
C₂₃×#2668	2
C₂₃×#2631	2
C₂₃×#2630	2
C₂₃×#2525	2
C₂₃×#2523	2
C₂₃×#2521	2
C₂₃×#2474	2
C₂₃×#2472	2
C₂₃×#2471	2
C₂₃×#2467	2
C₂₃×#2418	2
C₂₃×#2324	2
C₂₃×#2321	2
C₄×C₂₃×#121	2
#36873	23

Subgroups — C23×#36873 #19184499

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#36873 #19184499