Subgroups — C₂₃×#34456 #19182082

Order 5888.

2844 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#546	C₂	1	1	yes	maximal, characteristic
2	C₂₃×#2379	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2339	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₂²⋊C₄×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2329	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2315	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2311	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₂₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂₃×#385	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₂₃	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₂₃	C₂²	1	1	yes	characteristic
35	C₂₃×#546	C₄	1	16	yes	complemented
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×#121	C₂²	1	1	yes	characteristic
41	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₂₃	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
50	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
65	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
66	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
67	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
68	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
69	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
70	C₂₃×#390	C₂²	1	1	yes	characteristic
71	C₂₃×#390	C₂²	1	1	yes	characteristic
72	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
73	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
74	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
75	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
76	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
78	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#386	C₂²	1	1	yes	characteristic
109	C₂₃×#386	C₂²	1	1	yes	characteristic
110	C₂₃×#386	C₂²	1	1	yes	characteristic
111	C₂₃×#386	C₂²	1	1	yes	characteristic
112	C₂₃×#386	C₂²	1	1	yes	characteristic
113	C₂₃×#386	C₂²	1	1	yes	characteristic
114	C₂₃×#386	C₂²	1	1	yes	characteristic
115	C₂₃×#386	C₂²	1	1	yes	characteristic
116	C₂₃×#386	C₂²	1	1	yes	characteristic
117	C₂₃×#386	C₂²	1	1	yes	characteristic
118	C₂₃×#386	C₂²	1	1	yes	characteristic
119	C₂₃×#386	C₂²	1	1	yes	characteristic
120	C₂₃×#386	C₂²	1	1	yes	characteristic
121	C₂₃×#386	C₂²	1	1	yes	characteristic
122	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
126	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
129	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#385	C₂²	1	1	yes	characteristic
131	C₂₃×#385	C₂²	1	1	yes	characteristic
132	C₂₃×#385	C₂²	1	1	yes	characteristic
133	C₂₃×#385	C₂²	1	1	yes	characteristic
134	C₂₃×#385	C₂²	1	1	yes	characteristic
135	C₂₃×#385	C₂²	1	1	yes	characteristic
136	C₂₃×#385	C₂²	1	1	yes	characteristic
137	C₂₃×#385	C₂²	1	1	yes	characteristic
138	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#383	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#380	C₂²	1	1	yes	characteristic
159	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#379	C₂²	1	1	yes	characteristic
168	C₂₃×#379	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic
184	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic
185	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
189	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
190	C₂×#41×C₂₃	—	4	2	no	—
191	C₂×#41×C₂₃	—	4	2	no	—
192	C₂×#41×C₂₃	C₂×C₄	1	8	yes	complemented
193	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₂₃	—	4	2	no	—
195	C₂²×D₄×C₂₃	—	4	2	no	—
196	C₂²×D₄×C₂₃	C₂×C₄	1	8	yes	complemented
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	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₂₃	—	4	2	no	—
207	C₂³×C₄×C₂₃	—	4	2	no	—
208	C₂³×C₄×C₂₃	—	4	2	no	—
209	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
229	C₂₃×#124	C₂×C₄	1	8	yes	complemented
230	C₂₃×#123	C₂×C₄	1	8	yes	complemented
231	C₂₃×#123	C₂×C₄	1	8	yes	complemented
232	C₂₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
233	C₂₃×#121	C₂×C₄	1	8	yes	complemented
234	C₂₃×#121	C₂×C₄	1	8	yes	complemented
235	C₂₃×#121	C₂×C₄	1	8	yes	complemented
236	C₂₃×#120	C₂×C₄	1	8	yes	complemented
237	C₂₃×#120	C₂×C₄	1	8	yes	complemented
238	C₄×D₄×C₂₃	—	4	2	no	—
239	C₄×D₄×C₂₃	—	4	2	no	—
240	C₄×D₄×C₂₃	—	4	2	no	—
241	C₄×D₄×C₂₃	—	4	2	no	—
242	C₄×D₄×C₂₃	—	4	2	no	—
243	C₄×D₄×C₂₃	—	4	2	no	—
244	C₄×D₄×C₂₃	—	4	2	no	—
245	C₄×D₄×C₂₃	—	4	2	no	—
246	C₄×D₄×C₂₃	C₂×C₄	1	8	yes	complemented
247	C₄×D₄×C₂₃	C₂×C₄	1	8	yes	complemented
248	C₂₃×#117	—	4	2	no	—
249	C₂₃×#117	—	4	2	no	—
250	C₂×C₄⋊C₄×C₂₃	—	4	2	no	—
251	C₂×C₄⋊C₄×C₂₃	—	4	2	no	—
252	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
277	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
278	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
279	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
280	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
281	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	8	yes	complemented
282	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₂₃	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	C₂₃×#95	C₂³	1	1	yes	characteristic
364	C₂₃×#95	C₂³	1	1	yes	characteristic
365	C₂₃×#95	C₂³	1	1	yes	characteristic
366	C₂₃×#95	C₂³	1	1	yes	characteristic
367	C₂₃×#95	C₂³	1	1	yes	characteristic
368	C₂₃×#95	C₂³	1	1	yes	characteristic
369	C₂₃×#95	C₂³	1	1	yes	characteristic
370	C₂₃×#95	C₂³	1	1	yes	characteristic
371	C₂₃×#95	C₂³	1	1	yes	characteristic
372	C₂₃×#95	C₂³	1	1	yes	characteristic
373	C₂₃×#95	C₂³	1	1	yes	characteristic
374	C₂₃×#95	C₂³	1	1	yes	characteristic
375	C₂₃×#95	C₂³	1	1	yes	characteristic
376	C₂₃×#95	C₂³	1	1	yes	characteristic
377	C₂₃×#95	C₂³	1	1	yes	characteristic
378	C₂₃×#95	C₂³	1	1	yes	characteristic
379	C₂₃×#95	C₂³	1	1	yes	characteristic
380	C₂₃×#95	C₂³	1	1	yes	characteristic
381	C₂₃×#95	C₂³	1	1	yes	characteristic
382	C₂⁴×C₂₃	—	2	2	no	—
383	C₂⁴×C₂₃	—	2	2	no	—
384	C₂⁴×C₂₃	—	2	2	no	—
385	C₂⁴×C₂₃	—	2	2	no	—
386	C₂⁴×C₂₃	—	2	2	no	—
387	C₂⁴×C₂₃	—	2	2	no	—
388	C₂⁴×C₂₃	—	4	1	no	—
389	C₂⁴×C₂₃	—	4	1	no	—
390	C₂⁴×C₂₃	—	4	1	no	—
391	C₂⁴×C₂₃	—	4	1	no	—
392	C₂⁴×C₂₃	—	4	1	no	—
393	C₂⁴×C₂₃	—	4	1	no	—
394	C₂⁴×C₂₃	C₂²×C₄	1	4	yes	—
395	C₂⁴×C₂₃	C₂²×C₄	1	4	yes	—
396	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
398	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
399	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
401	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
402	#41×C₂₃	—	4	16	no	—
403	C₂×Q₈×C₂₃	—	4	1	no	—
404	C₂×Q₈×C₂₃	—	4	1	no	—
405	C₂×Q₈×C₂₃	C₂²×C₄	1	4	yes	complemented
406	C₂×D₄×C₂₃	—	2	2	no	—
407	C₂×D₄×C₂₃	—	2	2	no	—
408	C₂×D₄×C₂₃	—	2	2	no	—
409	C₂×D₄×C₂₃	—	2	2	no	—
410	C₂×D₄×C₂₃	—	2	2	no	—
411	C₂×D₄×C₂₃	—	2	2	no	—
412	C₂×D₄×C₂₃	—	2	2	no	—
413	C₂×D₄×C₂₃	—	2	2	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	—	4	1	no	—
418	C₂×D₄×C₂₃	—	4	1	no	—
419	C₂×D₄×C₂₃	—	4	1	no	—
420	C₂×D₄×C₂₃	—	4	1	no	—
421	C₂×D₄×C₂₃	—	4	1	no	—
422	C₂×D₄×C₂₃	—	4	1	no	—
423	C₂×D₄×C₂₃	—	4	1	no	—
424	C₂×D₄×C₂₃	—	4	16	no	—
425	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
426	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
427	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
428	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
429	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
430	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
431	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	—
432	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	complemented
433	C₂×D₄×C₂₃	C₂²×C₄	1	4	yes	complemented
434	C₂²×C₄×C₂₃	—	2	2	no	—
435	C₂²×C₄×C₂₃	—	2	2	no	—
436	C₂²×C₄×C₂₃	—	2	2	no	—
437	C₂²×C₄×C₂₃	—	2	2	no	—
438	C₂²×C₄×C₂₃	—	2	2	no	—
439	C₂²×C₄×C₂₃	—	2	2	no	—
440	C₂²×C₄×C₂₃	—	2	2	no	—
441	C₂²×C₄×C₂₃	—	2	2	no	—
442	C₂²×C₄×C₂₃	—	2	2	no	—
443	C₂²×C₄×C₂₃	—	2	2	no	—
444	C₂²×C₄×C₂₃	—	2	2	no	—
445	C₂²×C₄×C₂₃	—	2	2	no	—
446	C₂²×C₄×C₂₃	—	2	2	no	—
447	C₂²×C₄×C₂₃	—	2	2	no	—
448	C₂²×C₄×C₂₃	—	4	1	no	—
449	C₂²×C₄×C₂₃	—	4	1	no	—
450	C₂²×C₄×C₂₃	—	4	1	no	—
451	C₂²×C₄×C₂₃	—	4	1	no	—
452	C₂²×C₄×C₂₃	—	4	1	no	—
453	C₂²×C₄×C₂₃	—	4	1	no	—
454	C₂²×C₄×C₂₃	—	4	1	no	—
455	C₂²×C₄×C₂₃	—	4	1	no	—
456	C₂²×C₄×C₂₃	—	4	1	no	—
457	C₂²×C₄×C₂₃	—	4	1	no	—
458	C₂²×C₄×C₂₃	—	4	1	no	—
459	C₂²×C₄×C₂₃	—	4	1	no	—
460	C₂²×C₄×C₂₃	—	4	1	no	—
461	C₂²×C₄×C₂₃	—	4	1	no	—
462	C₂²×C₄×C₂₃	—	4	1	no	—
463	C₂²×C₄×C₂₃	—	4	1	no	—
464	C₂²×C₄×C₂₃	—	4	1	no	—
465	C₂²×C₄×C₂₃	—	4	1	no	—
466	C₂²×C₄×C₂₃	—	4	1	no	—
467	C₂²×C₄×C₂₃	—	4	1	no	—
468	C₂²×C₄×C₂₃	—	4	1	no	—
469	C₂²×C₄×C₂₃	—	4	1	no	—
470	C₂²×C₄×C₂₃	—	4	1	no	—
471	C₂²×C₄×C₂₃	—	4	1	no	—
472	C₂²×C₄×C₂₃	—	4	1	no	—
473	C₂²×C₄×C₂₃	—	4	1	no	—
474	C₂²×C₄×C₂₃	—	4	1	no	—
475	C₂²×C₄×C₂₃	—	4	1	no	—
476	C₂²×C₄×C₂₃	—	4	1	no	—
477	C₂²×C₄×C₂₃	—	4	1	no	—
478	C₂²×C₄×C₂₃	—	4	1	no	—
479	C₂²×C₄×C₂₃	—	4	1	no	—
480	C₂²×C₄×C₂₃	—	4	1	no	—
481	C₂²×C₄×C₂₃	—	4	1	no	—
482	C₂²×C₄×C₂₃	—	4	1	no	—
483	C₂²×C₄×C₂₃	—	4	1	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	16	no	—
489	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	—
490	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	—
491	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	—
492	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
493	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
494	C₂²×C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
495	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
520	C₄⋊C₄×C₂₃	—	2	2	no	—
521	C₄⋊C₄×C₂₃	—	2	2	no	—
522	C₄⋊C₄×C₂₃	—	4	1	no	—
523	C₄⋊C₄×C₂₃	—	4	1	no	—
524	C₄⋊C₄×C₂₃	—	4	1	no	—
525	C₄⋊C₄×C₂₃	—	4	1	no	—
526	C₄⋊C₄×C₂₃	—	4	1	no	—
527	C₄⋊C₄×C₂₃	—	4	1	no	—
528	C₄⋊C₄×C₂₃	—	4	1	no	—
529	C₄⋊C₄×C₂₃	—	4	1	no	—
530	C₄⋊C₄×C₂₃	—	4	1	no	—
531	C₄⋊C₄×C₂₃	—	4	1	no	—
532	C₄⋊C₄×C₂₃	—	4	1	no	—
533	C₄⋊C₄×C₂₃	—	4	1	no	—
534	C₄⋊C₄×C₂₃	—	4	1	no	—
535	C₄⋊C₄×C₂₃	—	4	1	no	—
536	C₄⋊C₄×C₂₃	—	4	1	no	—
537	C₄⋊C₄×C₂₃	—	4	1	no	—
538	C₄⋊C₄×C₂₃	—	4	1	no	—
539	C₄⋊C₄×C₂₃	—	4	1	no	—
540	C₄⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
541	C₄⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
542	C₄⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
543	C₄⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
544	C₂²⋊C₄×C₂₃	—	2	2	no	—
545	C₂²⋊C₄×C₂₃	—	2	2	no	—
546	C₂²⋊C₄×C₂₃	—	2	2	no	—
547	C₂²⋊C₄×C₂₃	—	2	2	no	—
548	C₂²⋊C₄×C₂₃	—	2	2	no	—
549	C₂²⋊C₄×C₂₃	—	2	2	no	—
550	C₂²⋊C₄×C₂₃	—	2	2	no	—
551	C₂²⋊C₄×C₂₃	—	2	2	no	—
552	C₂²⋊C₄×C₂₃	—	2	2	no	—
553	C₂²⋊C₄×C₂₃	—	2	2	no	—
554	C₂²⋊C₄×C₂₃	—	4	1	no	—
555	C₂²⋊C₄×C₂₃	—	4	1	no	—
556	C₂²⋊C₄×C₂₃	—	4	1	no	—
557	C₂²⋊C₄×C₂₃	—	4	1	no	—
558	C₂²⋊C₄×C₂₃	—	4	1	no	—
559	C₂²⋊C₄×C₂₃	—	4	1	no	—
560	C₂²⋊C₄×C₂₃	—	4	1	no	—
561	C₂²⋊C₄×C₂₃	—	4	1	no	—
562	C₂²⋊C₄×C₂₃	—	4	1	no	—
563	C₂²⋊C₄×C₂₃	—	4	1	no	—
564	C₂²⋊C₄×C₂₃	—	4	1	no	—
565	C₂²⋊C₄×C₂₃	—	4	1	no	—
566	C₂²⋊C₄×C₂₃	—	4	1	no	—
567	C₂²⋊C₄×C₂₃	—	4	1	no	—
568	C₂²⋊C₄×C₂₃	—	4	1	no	—
569	C₂²⋊C₄×C₂₃	—	4	1	no	—
570	C₂²⋊C₄×C₂₃	—	4	1	no	—
571	C₂²⋊C₄×C₂₃	—	4	1	no	—
572	C₂²⋊C₄×C₂₃	—	4	1	no	—
573	C₂²⋊C₄×C₂₃	—	4	1	no	—
574	C₂²⋊C₄×C₂₃	—	4	1	no	—
575	C₂²⋊C₄×C₂₃	—	4	1	no	—
576	C₂²⋊C₄×C₂₃	—	4	1	no	—
577	C₂²⋊C₄×C₂₃	—	4	1	no	—
578	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
579	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
580	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
581	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
582	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
583	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
584	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	—
585	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
586	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
587	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
588	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
589	C₂²⋊C₄×C₂₃	C₂²×C₄	1	4	yes	complemented
590	C₄²×C₂₃	—	2	2	no	—
591	C₄²×C₂₃	—	4	1	no	—
592	C₄²×C₂₃	—	4	1	no	—
593	C₄²×C₂₃	—	4	1	no	—
594	C₄²×C₂₃	—	4	1	no	—
595	C₄²×C₂₃	—	4	1	no	—
596	C₄²×C₂₃	—	4	1	no	—
597	C₄²×C₂₃	—	4	1	no	—
598	C₄²×C₂₃	—	4	1	no	—
599	C₄²×C₂₃	—	4	1	no	—
600	C₄²×C₂₃	—	4	1	no	—
601	C₄²×C₂₃	—	4	1	no	—
602	C₄²×C₂₃	C₂²×C₄	1	4	yes	complemented
603	#34456	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
604	C₂³×C₂₃	—	2	1	no	—
605	C₂³×C₂₃	—	2	1	no	—
606	C₂³×C₂₃	—	2	1	no	—
607	C₂³×C₂₃	—	2	1	no	—
608	C₂³×C₂₃	—	2	1	no	—
609	C₂³×C₂₃	—	2	1	no	—
610	C₂³×C₂₃	—	2	1	no	—
611	C₂³×C₂₃	—	2	1	no	—
612	C₂³×C₂₃	—	2	8	no	—
613	C₂³×C₂₃	—	2	8	no	—
614	C₂³×C₂₃	—	2	1	no	—
615	C₂³×C₂₃	—	2	1	no	—
616	C₂³×C₂₃	—	2	1	no	—
617	C₂³×C₂₃	—	2	1	no	—
618	C₂³×C₂₃	—	2	1	no	—
619	C₂³×C₂₃	—	2	1	no	—
620	C₂³×C₂₃	—	2	1	no	—
621	C₂³×C₂₃	—	2	1	no	—
622	C₂³×C₂₃	—	2	1	no	—
623	C₂³×C₂₃	—	2	1	no	—
624	C₂³×C₂₃	—	2	1	no	—
625	C₂³×C₂₃	—	2	1	no	—
626	C₂³×C₂₃	—	2	1	no	—
627	C₂³×C₂₃	—	2	1	no	—
628	C₂³×C₂₃	—	2	1	no	—
629	C₂³×C₂₃	—	2	1	no	—
630	C₂³×C₂₃	—	2	1	no	—
631	C₂³×C₂₃	—	2	1	no	—
632	C₂³×C₂₃	—	2	1	no	—
633	C₂³×C₂₃	—	2	1	no	—
634	C₂³×C₂₃	—	2	1	no	—
635	C₂³×C₂₃	—	2	1	no	—
636	C₂³×C₂₃	—	2	1	no	—
637	C₂³×C₂₃	—	2	1	no	—
638	C₂³×C₂₃	—	2	8	no	—
639	C₂³×C₂₃	—	4	4	no	—
640	C₂³×C₂₃	—	4	4	no	—
641	C₂³×C₂₃	—	4	4	no	—
642	C₂³×C₂₃	—	4	4	no	—
643	C₂³×C₂₃	—	4	4	no	—
644	C₂³×C₂₃	—	4	4	no	—
645	C₂³×C₂₃	—	4	4	no	—
646	C₂³×C₂₃	—	8	2	no	—
647	C₂³×C₂₃	—	8	2	no	—
648	C₂³×C₂₃	—	8	2	no	—
649	C₂³×C₂₃	—	8	2	no	—
650	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
651	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
652	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
653	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
654	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
655	C₂³×C₂₃	C₂³×C₄	1	2	yes	—
656	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
657	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
658	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
659	C₂³×C₂₃	2₋¹⁺⁴	1	2	yes	—
660	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
661	Q₈×C₂₃	—	4	4	no	—
662	D₄×C₂₃	—	2	8	no	—
663	D₄×C₂₃	—	2	8	no	—
664	D₄×C₂₃	—	2	8	no	—
665	D₄×C₂₃	—	2	8	no	—
666	D₄×C₂₃	—	4	4	no	—
667	D₄×C₂₃	—	4	4	no	—
668	D₄×C₂₃	—	4	4	no	—
669	D₄×C₂₃	—	4	4	no	—
670	D₄×C₂₃	—	4	4	no	—
671	C₂×C₄×C₂₃	—	2	8	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	—	2	1	no	—
694	C₂×C₄×C₂₃	—	2	1	no	—
695	C₂×C₄×C₂₃	—	2	1	no	—
696	C₂×C₄×C₂₃	—	2	1	no	—
697	C₂×C₄×C₂₃	—	2	1	no	—
698	C₂×C₄×C₂₃	—	2	1	no	—
699	C₂×C₄×C₂₃	—	2	1	no	—
700	C₂×C₄×C₂₃	—	2	1	no	—
701	C₂×C₄×C₂₃	—	2	1	no	—
702	C₂×C₄×C₂₃	—	2	1	no	—
703	C₂×C₄×C₂₃	—	2	1	no	—
704	C₂×C₄×C₂₃	—	2	1	no	—
705	C₂×C₄×C₂₃	—	2	1	no	—
706	C₂×C₄×C₂₃	—	2	1	no	—
707	C₂×C₄×C₂₃	—	2	1	no	—
708	C₂×C₄×C₂₃	—	2	1	no	—
709	C₂×C₄×C₂₃	—	2	1	no	—
710	C₂×C₄×C₂₃	—	2	1	no	—
711	C₂×C₄×C₂₃	—	2	1	no	—
712	C₂×C₄×C₂₃	—	2	1	no	—
713	C₂×C₄×C₂₃	—	2	1	no	—
714	C₂×C₄×C₂₃	—	2	1	no	—
715	C₂×C₄×C₂₃	—	2	1	no	—
716	C₂×C₄×C₂₃	—	2	1	no	—
717	C₂×C₄×C₂₃	—	2	1	no	—
718	C₂×C₄×C₂₃	—	2	1	no	—
719	C₂×C₄×C₂₃	—	2	1	no	—
720	C₂×C₄×C₂₃	—	2	1	no	—
721	C₂×C₄×C₂₃	—	2	1	no	—
722	C₂×C₄×C₂₃	—	2	1	no	—
723	C₂×C₄×C₂₃	—	2	1	no	—
724	C₂×C₄×C₂₃	—	2	1	no	—
725	C₂×C₄×C₂₃	—	2	1	no	—
726	C₂×C₄×C₂₃	—	2	1	no	—
727	C₂×C₄×C₂₃	—	2	1	no	—
728	C₂×C₄×C₂₃	—	2	1	no	—
729	C₂×C₄×C₂₃	—	2	1	no	—
730	C₂×C₄×C₂₃	—	2	1	no	—
731	C₂×C₄×C₂₃	—	2	1	no	—
732	C₂×C₄×C₂₃	—	2	1	no	—
733	C₂×C₄×C₂₃	—	2	1	no	—
734	C₂×C₄×C₂₃	—	2	1	no	—
735	C₂×C₄×C₂₃	—	2	1	no	—
736	C₂×C₄×C₂₃	—	2	1	no	—
737	C₂×C₄×C₂₃	—	4	4	no	—
738	C₂×C₄×C₂₃	—	4	4	no	—
739	C₂×C₄×C₂₃	—	4	4	no	—
740	C₂×C₄×C₂₃	—	4	4	no	—
741	C₂×C₄×C₂₃	—	4	4	no	—
742	C₂×C₄×C₂₃	—	4	4	no	—
743	C₂×C₄×C₂₃	—	4	4	no	—
744	C₂×C₄×C₂₃	—	4	4	no	—
745	C₂×C₄×C₂₃	—	4	4	no	—
746	C₂×C₄×C₂₃	—	4	4	no	—
747	C₂×C₄×C₂₃	—	4	4	no	—
748	C₂×C₄×C₂₃	—	8	2	no	—
749	C₂×C₄×C₂₃	—	8	2	no	—
750	C₂×C₄×C₂₃	—	8	2	no	—
751	C₂×C₄×C₂₃	—	8	2	no	—
752	C₂×C₄×C₂₃	—	8	2	no	—
753	C₂×C₄×C₂₃	—	8	2	no	—
754	C₂×C₄×C₂₃	—	8	2	no	—
755	C₂×C₄×C₂₃	—	8	2	no	—
756	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
757	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
758	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
759	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
760	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
761	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
762	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
763	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
764	C₂×C₄×C₂₃	C₂³×C₄	1	2	yes	—
765	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
766	C₂×#546	C₂×C₂₃	1	1	yes	characteristic
767	#2379	C₂×C₂₃	1	1	yes	characteristic, complemented
768	#2377	C₂×C₂₃	1	1	yes	characteristic, complemented
769	#2377	C₂×C₂₃	1	1	yes	characteristic, complemented
770	#2376	C₂×C₂₃	1	1	yes	characteristic, complemented
771	#2368	C₂×C₂₃	1	1	yes	characteristic, complemented
772	#2361	C₂×C₂₃	1	1	yes	characteristic, complemented
773	#2359	C₂×C₂₃	1	1	yes	characteristic, complemented
774	#2358	C₂×C₂₃	1	1	yes	characteristic, complemented
775	#2358	C₂×C₂₃	1	1	yes	characteristic, complemented
776	#2352	C₂×C₂₃	1	1	yes	characteristic, complemented
777	#2349	C₂×C₂₃	1	1	yes	characteristic, complemented
778	#2342	C₂×C₂₃	1	1	yes	characteristic, complemented
779	#2342	C₂×C₂₃	1	1	yes	characteristic, complemented
780	#2339	C₂×C₂₃	1	1	yes	characteristic, complemented
781	D₄×C₂²⋊C₄	C₂×C₂₃	1	1	yes	characteristic, complemented
782	#2337	C₂×C₂₃	1	1	yes	characteristic, complemented
783	#2335	C₂×C₂₃	1	1	yes	characteristic, complemented
784	#2329	C₂×C₂₃	1	1	yes	characteristic, complemented
785	#2325	C₂×C₂₃	1	1	yes	characteristic, complemented
786	#2325	C₂×C₂₃	1	1	yes	characteristic, complemented
787	#2324	C₂×C₂₃	1	1	yes	characteristic, complemented
788	#2322	C₂×C₂₃	1	1	yes	characteristic, complemented
789	#2321	C₂×C₂₃	1	1	yes	characteristic, complemented
790	#2318	C₂×C₂₃	1	1	yes	characteristic, complemented
791	#2318	C₂×C₂₃	1	1	yes	characteristic, complemented
792	#2315	C₂×C₂₃	1	1	yes	characteristic, complemented
793	#2311	C₂×C₂₃	1	1	yes	characteristic, complemented
794	C₄×#120	C₂×C₂₃	1	1	yes	characteristic, complemented
795	C₂×#386	C₂×C₂₃	1	1	yes	characteristic, complemented
796	C₂×#385	C₂×C₂₃	1	1	yes	characteristic, complemented
797	C₂²×C₂₃	—	2	2	no	—
798	C₂²×C₂₃	—	2	2	no	—
799	C₂²×C₂₃	—	2	2	no	—
800	C₂²×C₂₃	—	2	2	no	—
801	C₂²×C₂₃	—	2	2	no	—
802	C₂²×C₂₃	—	2	2	no	—
803	C₂²×C₂₃	—	2	2	no	—
804	C₂²×C₂₃	—	2	2	no	—
805	C₂²×C₂₃	—	2	2	no	—
806	C₂²×C₂₃	—	2	2	no	—
807	C₂²×C₂₃	—	2	2	no	—
808	C₂²×C₂₃	—	2	2	no	—
809	C₂²×C₂₃	—	2	2	no	—
810	C₂²×C₂₃	—	2	2	no	—
811	C₂²×C₂₃	—	2	2	no	—
812	C₂²×C₂₃	—	2	2	no	—
813	C₂²×C₂₃	—	2	2	no	—
814	C₂²×C₂₃	—	2	2	no	—
815	C₂²×C₂₃	—	2	2	no	—
816	C₂²×C₂₃	—	2	2	no	—
817	C₂²×C₂₃	—	2	2	no	—
818	C₂²×C₂₃	—	2	2	no	—
819	C₂²×C₂₃	—	2	2	no	—
820	C₂²×C₂₃	—	2	2	no	—
821	C₂²×C₂₃	—	4	16	no	—
822	C₂²×C₂₃	—	4	1	no	—
823	C₂²×C₂₃	—	4	1	no	—
824	C₂²×C₂₃	—	4	1	no	—
825	C₂²×C₂₃	—	4	1	no	—
826	C₂²×C₂₃	—	4	1	no	—
827	C₂²×C₂₃	—	4	1	no	—
828	C₂²×C₂₃	—	4	1	no	—
829	C₂²×C₂₃	—	4	1	no	—
830	C₂²×C₂₃	—	4	1	no	—
831	C₂²×C₂₃	—	4	1	no	—
832	C₂²×C₂₃	—	4	1	no	—
833	C₂²×C₂₃	—	4	1	no	—
834	C₂²×C₂₃	—	4	1	no	—
835	C₂²×C₂₃	—	4	1	no	—
836	C₂²×C₂₃	—	4	1	no	—
837	C₂²×C₂₃	—	4	1	no	—
838	C₂²×C₂₃	—	8	8	no	—
839	C₂²×C₂₃	#518	1	4	yes	—
840	C₂²×C₂₃	#520	1	4	yes	—
841	C₂²×C₂₃	C₂⁴×C₄	1	1	yes	characteristic
842	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
843	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
844	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
845	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
846	C₂²×C₂₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
847	C₂²×C₂₃	#585	1	1	yes	characteristic
848	C₄×C₂₃	—	2	2	no	—
849	C₄×C₂₃	—	2	2	no	—
850	C₄×C₂₃	—	2	2	no	—
851	C₄×C₂₃	—	2	2	no	—
852	C₄×C₂₃	—	2	2	no	—
853	C₄×C₂₃	—	2	2	no	—
854	C₄×C₂₃	—	2	2	no	—
855	C₄×C₂₃	—	2	2	no	—
856	C₄×C₂₃	—	2	2	no	—
857	C₄×C₂₃	—	2	2	no	—
858	C₄×C₂₃	—	4	1	no	—
859	C₄×C₂₃	—	4	1	no	—
860	C₄×C₂₃	—	4	1	no	—
861	C₄×C₂₃	—	4	1	no	—
862	C₄×C₂₃	—	4	1	no	—
863	C₄×C₂₃	—	4	1	no	—
864	C₄×C₂₃	—	4	1	no	—
865	C₄×C₂₃	—	4	1	no	—
866	C₄×C₂₃	—	4	1	no	—
867	C₄×C₂₃	—	4	1	no	—
868	C₄×C₂₃	—	4	1	no	—
869	C₄×C₂₃	—	4	1	no	—
870	C₄×C₂₃	—	4	1	no	—
871	C₄×C₂₃	—	4	1	no	—
872	C₄×C₂₃	—	4	1	no	—
873	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
874	C₂³×D₄	C₂²×C₂₃	1	1	yes	characteristic
875	C₂⁴×C₄	C₂²×C₂₃	1	1	yes	characteristic
876	#546	C₄×C₂₃	1	16	yes	complemented
877	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
878	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
879	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
880	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
881	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
882	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
883	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
884	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
885	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
886	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
887	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
888	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
889	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
890	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
891	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
892	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
893	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
894	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
895	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
896	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
897	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
898	C₂²×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
899	C₂²×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
900	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
901	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
902	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
903	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
904	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
905	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
906	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
907	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
908	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
909	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
910	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
911	#390	C₂²×C₂₃	1	1	yes	characteristic
912	#390	C₂²×C₂₃	1	1	yes	characteristic
913	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
914	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
915	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
916	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
918	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
919	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
929	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
930	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
931	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
932	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
933	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
934	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
935	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
936	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
937	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
938	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
939	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
941	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
946	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
947	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
948	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#386	C₂²×C₂₃	1	1	yes	characteristic
950	#386	C₂²×C₂₃	1	1	yes	characteristic
951	#386	C₂²×C₂₃	1	1	yes	characteristic
952	#386	C₂²×C₂₃	1	1	yes	characteristic
953	#386	C₂²×C₂₃	1	1	yes	characteristic
954	#386	C₂²×C₂₃	1	1	yes	characteristic
955	#386	C₂²×C₂₃	1	1	yes	characteristic
956	#386	C₂²×C₂₃	1	1	yes	characteristic
957	#386	C₂²×C₂₃	1	1	yes	characteristic
958	#386	C₂²×C₂₃	1	1	yes	characteristic
959	#386	C₂²×C₂₃	1	1	yes	characteristic
960	#386	C₂²×C₂₃	1	1	yes	characteristic
961	#386	C₂²×C₂₃	1	1	yes	characteristic
962	#386	C₂²×C₂₃	1	1	yes	characteristic
963	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
966	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
967	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
968	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
970	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	#385	C₂²×C₂₃	1	1	yes	characteristic
972	#385	C₂²×C₂₃	1	1	yes	characteristic
973	#385	C₂²×C₂₃	1	1	yes	characteristic
974	#385	C₂²×C₂₃	1	1	yes	characteristic
975	#385	C₂²×C₂₃	1	1	yes	characteristic
976	#385	C₂²×C₂₃	1	1	yes	characteristic
977	#385	C₂²×C₂₃	1	1	yes	characteristic
978	#385	C₂²×C₂₃	1	1	yes	characteristic
979	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
980	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
984	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
986	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
992	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#383	C₂²×C₂₃	1	1	yes	characteristic, complemented
994	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#380	C₂²×C₂₃	1	1	yes	characteristic
1000	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#379	C₂²×C₂₃	1	1	yes	characteristic
1009	#379	C₂²×C₂₃	1	1	yes	characteristic
1010	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1014	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1015	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1016	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1017	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1018	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1023	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1025	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1026	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	C₂×C₂₃	—	2	4	no	—
1030	C₂×C₂₃	—	2	4	no	—
1031	C₂×C₂₃	—	4	2	no	—
1032	C₂×C₂₃	—	4	2	no	—
1033	C₂×C₂₃	—	4	2	no	—
1034	C₂×C₂₃	—	4	2	no	—
1035	C₂×C₂₃	C₂×#518	1	1	yes	characteristic
1036	C₂×C₂₃	C₂×#520	1	1	yes	characteristic
1037	C₂×C₂₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1038	C₂×C₂₃	#3532	1	1	yes	characteristic
1039	C₂×C₂₃	#3534	1	1	yes	characteristic
1040	C₂×C₂₃	#3535	1	1	yes	characteristic
1041	C₂×C₂₃	#3536	1	1	yes	characteristic
1042	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1043	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1044	C₂×#41	—	4	2	no	—
1045	C₂×#41	—	4	2	no	—
1046	C₂×#41	C₂×C₄×C₂₃	1	8	yes	complemented
1047	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1048	C₂²×D₄	—	4	2	no	—
1049	C₂²×D₄	—	4	2	no	—
1050	C₂²×D₄	C₂×C₄×C₂₃	1	8	yes	complemented
1051	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1052	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1053	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1054	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1055	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1056	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1057	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1058	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1059	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1060	C₂³×C₄	—	4	2	no	—
1061	C₂³×C₄	—	4	2	no	—
1062	C₂³×C₄	—	4	2	no	—
1063	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1066	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1067	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1068	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1069	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1078	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1079	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1080	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1081	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1082	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1083	#124	C₂×C₄×C₂₃	1	8	yes	complemented
1084	#123	C₂×C₄×C₂₃	1	8	yes	complemented
1085	#123	C₂×C₄×C₂₃	1	8	yes	complemented
1086	C₂²⋊Q₈	C₂×C₄×C₂₃	1	8	yes	complemented
1087	#121	C₂×C₄×C₂₃	1	8	yes	complemented
1088	#121	C₂×C₄×C₂₃	1	8	yes	complemented
1089	#121	C₂×C₄×C₂₃	1	8	yes	complemented
1090	#120	C₂×C₄×C₂₃	1	8	yes	complemented
1091	#120	C₂×C₄×C₂₃	1	8	yes	complemented
1092	C₄×D₄	—	4	2	no	—
1093	C₄×D₄	—	4	2	no	—
1094	C₄×D₄	—	4	2	no	—
1095	C₄×D₄	—	4	2	no	—
1096	C₄×D₄	—	4	2	no	—
1097	C₄×D₄	—	4	2	no	—
1098	C₄×D₄	—	4	2	no	—
1099	C₄×D₄	—	4	2	no	—
1100	C₄×D₄	C₂×C₄×C₂₃	1	8	yes	complemented
1101	C₄×D₄	C₂×C₄×C₂₃	1	8	yes	complemented
1102	#117	—	4	2	no	—
1103	#117	—	4	2	no	—
1104	C₂×C₄⋊C₄	—	4	2	no	—
1105	C₂×C₄⋊C₄	—	4	2	no	—
1106	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1107	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1108	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1116	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1119	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1120	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1121	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1122	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1123	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1125	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1126	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1128	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	—	4	2	no	—
1131	C₂×C₂²⋊C₄	—	4	2	no	—
1132	C₂×C₂²⋊C₄	—	4	2	no	—
1133	C₂×C₂²⋊C₄	—	4	2	no	—
1134	C₂×C₂²⋊C₄	—	4	2	no	—
1135	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	8	yes	complemented
1136	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	8	yes	complemented
1137	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1183	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1184	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1185	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1186	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1187	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1188	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1189	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1190	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1191	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1192	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1193	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1194	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1195	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1196	#95	C₂³×C₂₃	1	1	yes	characteristic
1197	#95	C₂³×C₂₃	1	1	yes	characteristic
1198	#95	C₂³×C₂₃	1	1	yes	characteristic
1199	#95	C₂³×C₂₃	1	1	yes	characteristic
1200	#95	C₂³×C₂₃	1	1	yes	characteristic
1201	#95	C₂³×C₂₃	1	1	yes	characteristic
1202	#95	C₂³×C₂₃	1	1	yes	characteristic
1203	#95	C₂³×C₂₃	1	1	yes	characteristic
1204	#95	C₂³×C₂₃	1	1	yes	characteristic
1205	#95	C₂³×C₂₃	1	1	yes	characteristic
1206	#95	C₂³×C₂₃	1	1	yes	characteristic
1207	#95	C₂³×C₂₃	1	1	yes	characteristic
1208	#95	C₂³×C₂₃	1	1	yes	characteristic
1209	#95	C₂³×C₂₃	1	1	yes	characteristic
1210	#95	C₂³×C₂₃	1	1	yes	characteristic
1211	#95	C₂³×C₂₃	1	1	yes	characteristic
1212	#95	C₂³×C₂₃	1	1	yes	characteristic
1213	#95	C₂³×C₂₃	1	1	yes	characteristic
1214	#95	C₂³×C₂₃	1	1	yes	characteristic
1215	#95	C₂³×C₂₃	1	1	yes	characteristic
1216	#95	C₂³×C₂₃	1	1	yes	characteristic
1217	#95	C₂³×C₂₃	1	1	yes	characteristic
1218	#95	C₂³×C₂₃	1	1	yes	characteristic
1219	#95	C₂³×C₂₃	1	1	yes	characteristic
1220	#95	C₂³×C₂₃	1	1	yes	characteristic
1221	#95	C₂³×C₂₃	1	1	yes	characteristic
1222	#95	C₂³×C₂₃	1	1	yes	characteristic
1223	#95	C₂³×C₂₃	1	1	yes	characteristic
1224	#95	C₂³×C₂₃	1	1	yes	characteristic
1225	#95	C₂³×C₂₃	1	1	yes	characteristic
1226	#95	C₂³×C₂₃	1	1	yes	characteristic
1227	#95	C₂³×C₂₃	1	1	yes	characteristic
1228	#95	C₂³×C₂₃	1	1	yes	characteristic
1229	#95	C₂³×C₂₃	1	1	yes	characteristic
1230	#95	C₂³×C₂₃	1	1	yes	characteristic
1231	#95	C₂³×C₂₃	1	1	yes	characteristic
1232	#95	C₂³×C₂₃	1	1	yes	characteristic
1233	#95	C₂³×C₂₃	1	1	yes	characteristic
1234	#95	C₂³×C₂₃	1	1	yes	characteristic
1235	#95	C₂³×C₂₃	1	1	yes	characteristic
1236	C₂₃	#34456	1	1	yes	characteristic, direct product factor, Sylow
1237	C₂⁴	—	2	2	no	—
1238	C₂⁴	—	2	2	no	—
1239	C₂⁴	—	2	2	no	—
1240	C₂⁴	—	2	2	no	—
1241	C₂⁴	—	2	2	no	—
1242	C₂⁴	—	2	2	no	—
1243	C₂⁴	—	4	1	no	—
1244	C₂⁴	—	4	1	no	—
1245	C₂⁴	—	4	1	no	—
1246	C₂⁴	—	4	1	no	—
1247	C₂⁴	—	4	1	no	—
1248	C₂⁴	—	4	1	no	—
1249	C₂⁴	C₂²×C₄×C₂₃	1	4	yes	—
1250	C₂⁴	C₂²×C₄×C₂₃	1	4	yes	—
1251	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1252	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1253	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1254	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1255	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1256	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1257	#41	—	4	16	no	—
1258	C₂×Q₈	—	4	1	no	—
1259	C₂×Q₈	—	4	1	no	—
1260	C₂×Q₈	C₂²×C₄×C₂₃	1	4	yes	complemented
1261	C₂×D₄	—	2	2	no	—
1262	C₂×D₄	—	2	2	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	2	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	2	2	no	—
1267	C₂×D₄	—	2	2	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	4	1	no	—
1270	C₂×D₄	—	4	1	no	—
1271	C₂×D₄	—	4	1	no	—
1272	C₂×D₄	—	4	1	no	—
1273	C₂×D₄	—	4	1	no	—
1274	C₂×D₄	—	4	1	no	—
1275	C₂×D₄	—	4	1	no	—
1276	C₂×D₄	—	4	1	no	—
1277	C₂×D₄	—	4	1	no	—
1278	C₂×D₄	—	4	1	no	—
1279	C₂×D₄	—	4	16	no	—
1280	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1281	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1282	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1283	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1284	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1285	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1286	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	—
1287	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1288	C₂×D₄	C₂²×C₄×C₂₃	1	4	yes	complemented
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	—	2	2	no	—
1299	C₂²×C₄	—	2	2	no	—
1300	C₂²×C₄	—	2	2	no	—
1301	C₂²×C₄	—	2	2	no	—
1302	C₂²×C₄	—	2	2	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	C₂²×C₄	—	4	1	no	—
1339	C₂²×C₄	—	4	1	no	—
1340	C₂²×C₄	—	4	1	no	—
1341	C₂²×C₄	—	4	1	no	—
1342	C₂²×C₄	—	4	1	no	—
1343	C₂²×C₄	—	4	16	no	—
1344	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	—
1345	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	—
1346	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	—
1347	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1348	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1349	C₂²×C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1350	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1361	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1373	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1375	C₄⋊C₄	—	2	2	no	—
1376	C₄⋊C₄	—	2	2	no	—
1377	C₄⋊C₄	—	4	1	no	—
1378	C₄⋊C₄	—	4	1	no	—
1379	C₄⋊C₄	—	4	1	no	—
1380	C₄⋊C₄	—	4	1	no	—
1381	C₄⋊C₄	—	4	1	no	—
1382	C₄⋊C₄	—	4	1	no	—
1383	C₄⋊C₄	—	4	1	no	—
1384	C₄⋊C₄	—	4	1	no	—
1385	C₄⋊C₄	—	4	1	no	—
1386	C₄⋊C₄	—	4	1	no	—
1387	C₄⋊C₄	—	4	1	no	—
1388	C₄⋊C₄	—	4	1	no	—
1389	C₄⋊C₄	—	4	1	no	—
1390	C₄⋊C₄	—	4	1	no	—
1391	C₄⋊C₄	—	4	1	no	—
1392	C₄⋊C₄	—	4	1	no	—
1393	C₄⋊C₄	—	4	1	no	—
1394	C₄⋊C₄	—	4	1	no	—
1395	C₄⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1396	C₄⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1397	C₄⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1398	C₄⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1399	C₂²⋊C₄	—	2	2	no	—
1400	C₂²⋊C₄	—	2	2	no	—
1401	C₂²⋊C₄	—	2	2	no	—
1402	C₂²⋊C₄	—	2	2	no	—
1403	C₂²⋊C₄	—	2	2	no	—
1404	C₂²⋊C₄	—	2	2	no	—
1405	C₂²⋊C₄	—	2	2	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	2	no	—
1409	C₂²⋊C₄	—	4	1	no	—
1410	C₂²⋊C₄	—	4	1	no	—
1411	C₂²⋊C₄	—	4	1	no	—
1412	C₂²⋊C₄	—	4	1	no	—
1413	C₂²⋊C₄	—	4	1	no	—
1414	C₂²⋊C₄	—	4	1	no	—
1415	C₂²⋊C₄	—	4	1	no	—
1416	C₂²⋊C₄	—	4	1	no	—
1417	C₂²⋊C₄	—	4	1	no	—
1418	C₂²⋊C₄	—	4	1	no	—
1419	C₂²⋊C₄	—	4	1	no	—
1420	C₂²⋊C₄	—	4	1	no	—
1421	C₂²⋊C₄	—	4	1	no	—
1422	C₂²⋊C₄	—	4	1	no	—
1423	C₂²⋊C₄	—	4	1	no	—
1424	C₂²⋊C₄	—	4	1	no	—
1425	C₂²⋊C₄	—	4	1	no	—
1426	C₂²⋊C₄	—	4	1	no	—
1427	C₂²⋊C₄	—	4	1	no	—
1428	C₂²⋊C₄	—	4	1	no	—
1429	C₂²⋊C₄	—	4	1	no	—
1430	C₂²⋊C₄	—	4	1	no	—
1431	C₂²⋊C₄	—	4	1	no	—
1432	C₂²⋊C₄	—	4	1	no	—
1433	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1434	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1435	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1436	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1437	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1438	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1439	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	—
1440	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1441	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1442	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1443	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1444	C₂²⋊C₄	C₂²×C₄×C₂₃	1	4	yes	complemented
1445	C₄²	—	2	2	no	—
1446	C₄²	—	4	1	no	—
1447	C₄²	—	4	1	no	—
1448	C₄²	—	4	1	no	—
1449	C₄²	—	4	1	no	—
1450	C₄²	—	4	1	no	—
1451	C₄²	—	4	1	no	—
1452	C₄²	—	4	1	no	—
1453	C₄²	—	4	1	no	—
1454	C₄²	—	4	1	no	—
1455	C₄²	—	4	1	no	—
1456	C₄²	—	4	1	no	—
1457	C₄²	C₂²×C₄×C₂₃	1	4	yes	complemented
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	8	no	—
1491	C₂³	—	2	8	no	—
1492	C₂³	—	2	8	no	—
1493	C₂³	—	4	4	no	—
1494	C₂³	—	4	4	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	4	4	no	—
1497	C₂³	—	4	4	no	—
1498	C₂³	—	4	4	no	—
1499	C₂³	—	4	4	no	—
1500	C₂³	—	8	2	no	—
1501	C₂³	—	8	2	no	—
1502	C₂³	—	8	2	no	—
1503	C₂³	—	8	2	no	—
1504	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1505	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1506	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1507	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1508	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1509	C₂³	C₂³×C₄×C₂₃	1	2	yes	—
1510	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1511	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1512	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1513	C₂³	C₂₃×2₋¹⁺⁴	1	2	yes	—
1514	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1515	Q₈	—	4	4	no	—
1516	D₄	—	2	8	no	—
1517	D₄	—	2	8	no	—
1518	D₄	—	2	8	no	—
1519	D₄	—	2	8	no	—
1520	D₄	—	4	4	no	—
1521	D₄	—	4	4	no	—
1522	D₄	—	4	4	no	—
1523	D₄	—	4	4	no	—
1524	D₄	—	4	4	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	8	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	4	4	no	—
1592	C₂×C₄	—	4	4	no	—
1593	C₂×C₄	—	4	4	no	—
1594	C₂×C₄	—	4	4	no	—
1595	C₂×C₄	—	4	4	no	—
1596	C₂×C₄	—	4	4	no	—
1597	C₂×C₄	—	4	4	no	—
1598	C₂×C₄	—	4	4	no	—
1599	C₂×C₄	—	4	4	no	—
1600	C₂×C₄	—	4	4	no	—
1601	C₂×C₄	—	4	4	no	—
1602	C₂×C₄	—	8	2	no	—
1603	C₂×C₄	—	8	2	no	—
1604	C₂×C₄	—	8	2	no	—
1605	C₂×C₄	—	8	2	no	—
1606	C₂×C₄	—	8	2	no	—
1607	C₂×C₄	—	8	2	no	—
1608	C₂×C₄	—	8	2	no	—
1609	C₂×C₄	—	8	2	no	—
1610	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1611	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1612	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1613	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1614	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1615	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1616	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1617	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1618	C₂×C₄	C₂³×C₄×C₂₃	1	2	yes	—
1619	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1620	C₂²	—	2	2	no	—
1621	C₂²	—	2	2	no	—
1622	C₂²	—	2	2	no	—
1623	C₂²	—	2	2	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	4	16	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	8	8	no	—
1662	C₂²	C₂₃×#518	1	4	yes	—
1663	C₂²	C₂₃×#520	1	4	yes	—
1664	C₂²	C₂⁴×C₄×C₂₃	1	1	yes	characteristic
1665	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1666	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1667	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1668	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1669	C₂²	C₂×C₂₃×2₋¹⁺⁴	1	1	yes	characteristic
1670	C₂²	C₂₃×#585	1	1	yes	characteristic
1671	C₄	—	2	2	no	—
1672	C₄	—	2	2	no	—
1673	C₄	—	2	2	no	—
1674	C₄	—	2	2	no	—
1675	C₄	—	2	2	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	2	no	—
1679	C₄	—	2	2	no	—
1680	C₄	—	2	2	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₂	—	2	4	no	—
1697	C₂	—	2	4	no	—
1698	C₂	—	4	2	no	—
1699	C₂	—	4	2	no	—
1700	C₂	—	4	2	no	—
1701	C₂	—	4	2	no	—
1702	C₂	C₂×C₂₃×#518	1	1	yes	characteristic
1703	C₂	C₂×C₂₃×#520	1	1	yes	characteristic
1704	C₂	C₄×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1705	C₂	C₂₃×#3532	1	1	yes	characteristic
1706	C₂	C₂₃×#3534	1	1	yes	characteristic
1707	C₂	C₂₃×#3535	1	1	yes	characteristic
1708	C₂	C₂₃×#3536	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₂₃
Frattini, cosocle	C₂³	C₂⁵×C₂₃
prime radical	C₂×C₂₃×#546	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂₃×#2379	C₂	semidirect
3. C₂₃×#2377	C₂	semidirect
4. C₂₃×#2377	C₂	semidirect
5. C₂₃×#2376	C₂	semidirect
6. C₂₃×#2368	C₂	semidirect
7. C₂₃×#2361	C₂	semidirect
8. C₂₃×#2359	C₂	semidirect
9. C₂₃×#2358	C₂	semidirect
10. C₂₃×#2358	C₂	semidirect
11. C₂₃×#2352	C₂	semidirect
12. C₂₃×#2349	C₂	semidirect
13. C₂₃×#2342	C₂	semidirect
14. C₂₃×#2342	C₂	semidirect
15. C₂₃×#2339	C₂	semidirect
16. D₄×C₂²⋊C₄×C₂₃	C₂	semidirect
17. C₂₃×#2337	C₂	semidirect
18. C₂₃×#2335	C₂	semidirect
19. C₂₃×#2329	C₂	semidirect
20. C₂₃×#2325	C₂	semidirect
21. C₂₃×#2325	C₂	semidirect
22. C₂₃×#2324	C₂	semidirect
23. C₂₃×#2322	C₂	semidirect
24. C₂₃×#2321	C₂	semidirect
25. C₂₃×#2318	C₂	semidirect
26. C₂₃×#2318	C₂	semidirect
27. C₂₃×#2315	C₂	semidirect
28. C₂₃×#2311	C₂	semidirect
29. C₄×C₂₃×#120	C₂	semidirect
30. C₂×C₂₃×#386	C₂	semidirect
31. C₂×C₂₃×#385	C₂	semidirect
35. C₂₃×#546	C₄	semidirect
51. C₂×C₄×D₄×C₂₃	C₂²	semidirect
52. C₂×C₄×D₄×C₂₃	C₂²	semidirect
53. C₂×C₄×D₄×C₂₃	C₂²	semidirect
54. C₂×C₄×D₄×C₂₃	C₂²	semidirect
55. C₂×C₂₃×#117	C₂²	semidirect
56. C₂×C₂₃×#117	C₂²	semidirect
57. C₂²×C₄⋊C₄×C₂₃	C₂²	semidirect
58. C₂²×C₄⋊C₄×C₂₃	C₂²	semidirect
66. C₂₃×#391	C₂²	semidirect
67. C₂₃×#391	C₂²	semidirect
68. C₂₃×#391	C₂²	semidirect
69. C₂₃×#391	C₂²	semidirect
72. C₂₃×#390	C₂²	semidirect
73. C₂₃×#390	C₂²	semidirect
74. C₂₃×#390	C₂²	semidirect
75. C₂₃×#390	C₂²	semidirect
76. C₂₃×#389	C₂²	semidirect
77. C₂₃×#389	C₂²	semidirect
78. C₂₃×#389	C₂²	semidirect
79. C₂₃×#389	C₂²	semidirect
80. C₂₃×#388	C₂²	semidirect
81. C₂₃×#388	C₂²	semidirect
82. C₂₃×#388	C₂²	semidirect
83. C₂₃×#388	C₂²	semidirect
84. C₂₃×#388	C₂²	semidirect
85. C₂₃×#388	C₂²	semidirect
86. C₂₃×#388	C₂²	semidirect
87. C₂₃×#388	C₂²	semidirect
88. C₂₃×#388	C₂²	semidirect
89. C₂₃×#388	C₂²	semidirect
90. C₂₃×#388	C₂²	semidirect
91. C₂₃×#388	C₂²	semidirect
92. C₂₃×#388	C₂²	semidirect
93. C₂₃×#388	C₂²	semidirect
94. C₂₃×#388	C₂²	semidirect
95. C₂₃×#388	C₂²	semidirect
96. C₂₃×#388	C₂²	semidirect
97. C₂₃×#388	C₂²	semidirect
98. C₂₃×#387	C₂²	semidirect
99. C₂₃×#387	C₂²	semidirect
100. C₂₃×#387	C₂²	semidirect
101. C₂₃×#387	C₂²	semidirect
102. C₂₃×#387	C₂²	semidirect
103. C₂₃×#387	C₂²	semidirect
104. C₂₃×#387	C₂²	semidirect
105. C₂₃×#387	C₂²	semidirect
106. C₂₃×#387	C₂²	semidirect
107. C₂₃×#387	C₂²	semidirect
122. C₂₃×#386	C₂²	semidirect
123. C₂₃×#386	C₂²	semidirect
124. C₂₃×#386	C₂²	semidirect
125. C₂₃×#386	C₂²	semidirect
126. C₂₃×#386	C₂²	semidirect
127. C₂₃×#386	C₂²	semidirect
128. C₂₃×#386	C₂²	semidirect
129. C₂₃×#386	C₂²	semidirect
138. C₂₃×#385	C₂²	semidirect
139. C₂₃×#385	C₂²	semidirect
140. C₂₃×#385	C₂²	semidirect
141. C₂₃×#385	C₂²	semidirect
142. C₂₃×#385	C₂²	semidirect
143. C₂₃×#385	C₂²	semidirect
144. C₂₃×#385	C₂²	semidirect
145. C₂₃×#385	C₂²	semidirect
146. C₂₃×#385	C₂²	semidirect
147. C₂₃×#385	C₂²	semidirect
148. C₂₃×#385	C₂²	semidirect
149. C₂₃×#385	C₂²	semidirect
150. C₂₃×#385	C₂²	semidirect
151. C₂₃×#385	C₂²	semidirect
152. C₂₃×#383	C₂²	semidirect
153. C₂₃×#382	C₂²	semidirect
154. C₂₃×#382	C₂²	semidirect
155. C₂₃×#381	C₂²	semidirect
156. C₂₃×#381	C₂²	semidirect
157. C₂₃×#381	C₂²	semidirect
159. C₂₃×#380	C₂²	semidirect
160. C₂₃×#380	C₂²	semidirect
161. C₂₃×#380	C₂²	semidirect
162. C₂₃×#380	C₂²	semidirect
163. C₂₃×#380	C₂²	semidirect
164. C₂₃×#380	C₂²	semidirect
165. C₂₃×#380	C₂²	semidirect
166. C₂₃×#380	C₂²	semidirect
169. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
170. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
171. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
177. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
178. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
185. C₂×C₂₃×#95	C₂²	semidirect
186. C₂×C₂₃×#95	C₂²	semidirect
187. C₂×C₂₃×#95	C₂²	semidirect
192. C₂×#41×C₂₃	C₂×C₄	semidirect
196. C₂²×D₄×C₂₃	C₂×C₄	semidirect
229. C₂₃×#124	C₂×C₄	semidirect
230. C₂₃×#123	C₂×C₄	semidirect
231. C₂₃×#123	C₂×C₄	semidirect
232. C₂₃×C₂²⋊Q₈	C₂×C₄	semidirect
233. C₂₃×#121	C₂×C₄	semidirect
234. C₂₃×#121	C₂×C₄	semidirect
235. C₂₃×#121	C₂×C₄	semidirect
236. C₂₃×#120	C₂×C₄	semidirect
237. C₂₃×#120	C₂×C₄	semidirect
246. C₄×D₄×C₂₃	C₂×C₄	semidirect
247. C₄×D₄×C₂₃	C₂×C₄	semidirect
281. C₂×C₂²⋊C₄×C₂₃	C₂×C₄	semidirect
282. C₂×C₂²⋊C₄×C₂₃	C₂×C₄	semidirect
405. C₂×Q₈×C₂₃	C₂²×C₄	semidirect
432. C₂×D₄×C₂₃	C₂²×C₄	semidirect
433. C₂×D₄×C₂₃	C₂²×C₄	semidirect
492. C₂²×C₄×C₂₃	C₂²×C₄	semidirect
493. C₂²×C₄×C₂₃	C₂²×C₄	semidirect
494. C₂²×C₄×C₂₃	C₂²×C₄	semidirect
540. C₄⋊C₄×C₂₃	C₂²×C₄	semidirect
541. C₄⋊C₄×C₂₃	C₂²×C₄	semidirect
542. C₄⋊C₄×C₂₃	C₂²×C₄	semidirect
543. C₄⋊C₄×C₂₃	C₂²×C₄	semidirect
585. C₂²⋊C₄×C₂₃	C₂²×C₄	semidirect
586. C₂²⋊C₄×C₂₃	C₂²×C₄	semidirect
587. C₂²⋊C₄×C₂₃	C₂²×C₄	semidirect
588. C₂²⋊C₄×C₂₃	C₂²×C₄	semidirect
589. C₂²⋊C₄×C₂₃	C₂²×C₄	semidirect
602. C₄²×C₂₃	C₂²×C₄	semidirect
603. #34456	C₂₃	direct (N × H)
767. #2379	C₂×C₂₃	semidirect
768. #2377	C₂×C₂₃	semidirect
769. #2377	C₂×C₂₃	semidirect
770. #2376	C₂×C₂₃	semidirect
771. #2368	C₂×C₂₃	semidirect
772. #2361	C₂×C₂₃	semidirect
773. #2359	C₂×C₂₃	semidirect
774. #2358	C₂×C₂₃	semidirect
775. #2358	C₂×C₂₃	semidirect
776. #2352	C₂×C₂₃	semidirect
777. #2349	C₂×C₂₃	semidirect
778. #2342	C₂×C₂₃	semidirect
779. #2342	C₂×C₂₃	semidirect
780. #2339	C₂×C₂₃	semidirect
781. D₄×C₂²⋊C₄	C₂×C₂₃	semidirect
782. #2337	C₂×C₂₃	semidirect
783. #2335	C₂×C₂₃	semidirect
784. #2329	C₂×C₂₃	semidirect
785. #2325	C₂×C₂₃	semidirect
786. #2325	C₂×C₂₃	semidirect
787. #2324	C₂×C₂₃	semidirect
788. #2322	C₂×C₂₃	semidirect
789. #2321	C₂×C₂₃	semidirect
790. #2318	C₂×C₂₃	semidirect
791. #2318	C₂×C₂₃	semidirect
792. #2315	C₂×C₂₃	semidirect
793. #2311	C₂×C₂₃	semidirect
794. C₄×#120	C₂×C₂₃	semidirect
795. C₂×#386	C₂×C₂₃	semidirect
796. C₂×#385	C₂×C₂₃	semidirect
876. #546	C₄×C₂₃	semidirect
892. C₂×C₄×D₄	C₂²×C₂₃	semidirect
893. C₂×C₄×D₄	C₂²×C₂₃	semidirect
894. C₂×C₄×D₄	C₂²×C₂₃	semidirect
895. C₂×C₄×D₄	C₂²×C₂₃	semidirect
896. C₂×#117	C₂²×C₂₃	semidirect
897. C₂×#117	C₂²×C₂₃	semidirect
898. C₂²×C₄⋊C₄	C₂²×C₂₃	semidirect
899. C₂²×C₄⋊C₄	C₂²×C₂₃	semidirect
907. #391	C₂²×C₂₃	semidirect
908. #391	C₂²×C₂₃	semidirect
909. #391	C₂²×C₂₃	semidirect
910. #391	C₂²×C₂₃	semidirect
913. #390	C₂²×C₂₃	semidirect
914. #390	C₂²×C₂₃	semidirect
915. #390	C₂²×C₂₃	semidirect
916. #390	C₂²×C₂₃	semidirect
917. #389	C₂²×C₂₃	semidirect
918. #389	C₂²×C₂₃	semidirect
919. #389	C₂²×C₂₃	semidirect
920. #389	C₂²×C₂₃	semidirect
921. #388	C₂²×C₂₃	semidirect
922. #388	C₂²×C₂₃	semidirect
923. #388	C₂²×C₂₃	semidirect
924. #388	C₂²×C₂₃	semidirect
925. #388	C₂²×C₂₃	semidirect
926. #388	C₂²×C₂₃	semidirect
927. #388	C₂²×C₂₃	semidirect
928. #388	C₂²×C₂₃	semidirect
929. #388	C₂²×C₂₃	semidirect
930. #388	C₂²×C₂₃	semidirect
931. #388	C₂²×C₂₃	semidirect
932. #388	C₂²×C₂₃	semidirect
933. #388	C₂²×C₂₃	semidirect
934. #388	C₂²×C₂₃	semidirect
935. #388	C₂²×C₂₃	semidirect
936. #388	C₂²×C₂₃	semidirect
937. #388	C₂²×C₂₃	semidirect
938. #388	C₂²×C₂₃	semidirect
939. #387	C₂²×C₂₃	semidirect
940. #387	C₂²×C₂₃	semidirect
941. #387	C₂²×C₂₃	semidirect
942. #387	C₂²×C₂₃	semidirect
943. #387	C₂²×C₂₃	semidirect
944. #387	C₂²×C₂₃	semidirect
945. #387	C₂²×C₂₃	semidirect
946. #387	C₂²×C₂₃	semidirect
947. #387	C₂²×C₂₃	semidirect
948. #387	C₂²×C₂₃	semidirect
963. #386	C₂²×C₂₃	semidirect
964. #386	C₂²×C₂₃	semidirect
965. #386	C₂²×C₂₃	semidirect
966. #386	C₂²×C₂₃	semidirect
967. #386	C₂²×C₂₃	semidirect
968. #386	C₂²×C₂₃	semidirect
969. #386	C₂²×C₂₃	semidirect
970. #386	C₂²×C₂₃	semidirect
979. #385	C₂²×C₂₃	semidirect
980. #385	C₂²×C₂₃	semidirect
981. #385	C₂²×C₂₃	semidirect
982. #385	C₂²×C₂₃	semidirect
983. #385	C₂²×C₂₃	semidirect
984. #385	C₂²×C₂₃	semidirect
985. #385	C₂²×C₂₃	semidirect
986. #385	C₂²×C₂₃	semidirect
987. #385	C₂²×C₂₃	semidirect
988. #385	C₂²×C₂₃	semidirect
989. #385	C₂²×C₂₃	semidirect
990. #385	C₂²×C₂₃	semidirect
991. #385	C₂²×C₂₃	semidirect
992. #385	C₂²×C₂₃	semidirect
993. #383	C₂²×C₂₃	semidirect
994. #382	C₂²×C₂₃	semidirect
995. #382	C₂²×C₂₃	semidirect
996. #381	C₂²×C₂₃	semidirect
997. #381	C₂²×C₂₃	semidirect
998. #381	C₂²×C₂₃	semidirect
1000. #380	C₂²×C₂₃	semidirect
1001. #380	C₂²×C₂₃	semidirect
1002. #380	C₂²×C₂₃	semidirect
1003. #380	C₂²×C₂₃	semidirect
1004. #380	C₂²×C₂₃	semidirect
1005. #380	C₂²×C₂₃	semidirect
1006. #380	C₂²×C₂₃	semidirect
1007. #380	C₂²×C₂₃	semidirect
1010. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1011. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1012. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1018. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1019. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1020. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1021. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1022. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1023. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1026. C₂×#95	C₂²×C₂₃	semidirect
1027. C₂×#95	C₂²×C₂₃	semidirect
1028. C₂×#95	C₂²×C₂₃	semidirect
1046. C₂×#41	C₂×C₄×C₂₃	semidirect
1050. C₂²×D₄	C₂×C₄×C₂₃	semidirect
1083. #124	C₂×C₄×C₂₃	semidirect
1084. #123	C₂×C₄×C₂₃	semidirect
1085. #123	C₂×C₄×C₂₃	semidirect
1086. C₂²⋊Q₈	C₂×C₄×C₂₃	semidirect
1087. #121	C₂×C₄×C₂₃	semidirect
1088. #121	C₂×C₄×C₂₃	semidirect
1089. #121	C₂×C₄×C₂₃	semidirect
1090. #120	C₂×C₄×C₂₃	semidirect
1091. #120	C₂×C₄×C₂₃	semidirect
1100. C₄×D₄	C₂×C₄×C₂₃	semidirect
1101. C₄×D₄	C₂×C₄×C₂₃	semidirect
1135. C₂×C₂²⋊C₄	C₂×C₄×C₂₃	semidirect
1136. C₂×C₂²⋊C₄	C₂×C₄×C₂₃	semidirect
1236. C₂₃	#34456	direct (N × H)
1260. C₂×Q₈	C₂²×C₄×C₂₃	semidirect
1287. C₂×D₄	C₂²×C₄×C₂₃	semidirect
1288. C₂×D₄	C₂²×C₄×C₂₃	semidirect
1347. C₂²×C₄	C₂²×C₄×C₂₃	semidirect
1348. C₂²×C₄	C₂²×C₄×C₂₃	semidirect
1349. C₂²×C₄	C₂²×C₄×C₂₃	semidirect
1395. C₄⋊C₄	C₂²×C₄×C₂₃	semidirect
1396. C₄⋊C₄	C₂²×C₄×C₂₃	semidirect
1397. C₄⋊C₄	C₂²×C₄×C₂₃	semidirect
1398. C₄⋊C₄	C₂²×C₄×C₂₃	semidirect
1440. C₂²⋊C₄	C₂²×C₄×C₂₃	semidirect
1441. C₂²⋊C₄	C₂²×C₄×C₂₃	semidirect
1442. C₂²⋊C₄	C₂²×C₄×C₂₃	semidirect
1443. C₂²⋊C₄	C₂²×C₄×C₂₃	semidirect
1444. C₂²⋊C₄	C₂²×C₄×C₂₃	semidirect
1457. C₄²	C₂²×C₄×C₂₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₂₃×#546	2
C₂₃×#2379	2
C₂₃×#2377	2
C₂₃×#2376	2
C₂₃×#2368	2
C₂₃×#2361	2
C₂₃×#2359	2
C₂₃×#2358	2
C₂₃×#2352	2
C₂₃×#2349	2
C₂₃×#2342	2
C₂₃×#2339	2
D₄×C₂²⋊C₄×C₂₃	2
C₂₃×#2337	2
C₂₃×#2335	2
C₂₃×#2329	2
C₂₃×#2325	2
C₂₃×#2324	2
C₂₃×#2322	2
C₂₃×#2321	2
C₂₃×#2318	2
C₂₃×#2315	2
C₂₃×#2311	2
C₄×C₂₃×#120	2
C₂×C₂₃×#386	2
C₂×C₂₃×#385	2
#34456	23

Subgroups — C23×#34456 #19182082

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#34456 #19182082