Subgroups — C₂₃×#34829 #19182455

Order 5888.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2558	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2557	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2556	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2555	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2554	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2553	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2543	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2388	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₂₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₂₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₂₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₂₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₂₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄²×D₄×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₂²⋊C₄×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic
33	C₂⁴×C₄×C₂₃	C₂²	1	1	yes	characteristic
34	C₂₃×#529	—	2	8	no	—
35	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
39	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
40	C₂₃×#525	—	2	8	no	—
41	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
43	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
45	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
46	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
49	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
50	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
51	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
52	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
53	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
54	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
55	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
56	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
57	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
65	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
70	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
73	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
74	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
75	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
76	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
78	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#399	C₂²	1	1	yes	characteristic
80	C₂₃×#399	C₂²	1	1	yes	characteristic
81	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#397	C₂²	1	1	yes	characteristic
86	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#396	C₂²	1	1	yes	characteristic
90	C₂₃×#396	C₂²	1	1	yes	characteristic
91	C₂₃×#396	C₂²	1	1	yes	characteristic
92	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#394	C₂²	1	1	yes	characteristic
96	C₂₃×#394	C₂²	1	1	yes	characteristic
97	C₂₃×#394	C₂²	1	1	yes	characteristic
98	C₂₃×#394	C₂²	1	1	yes	characteristic
99	C₂₃×#394	C₂²	1	1	yes	characteristic
100	C₂₃×#394	C₂²	1	1	yes	characteristic
101	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#393	C₂²	1	1	yes	characteristic
104	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#392	C₂²	1	1	yes	characteristic
106	C₂₃×#392	C₂²	1	1	yes	characteristic
107	C₂₃×#392	C₂²	1	1	yes	characteristic
108	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#390	C₂²	1	1	yes	characteristic
113	C₂₃×#390	C₂²	1	1	yes	characteristic
114	C₂₃×#390	C₂²	1	1	yes	characteristic
115	C₂₃×#390	C₂²	1	1	yes	characteristic
116	C₂₃×#390	C₂²	1	1	yes	characteristic
117	C₂₃×#390	C₂²	1	1	yes	characteristic
118	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
122	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
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, complemented
129	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#386	C₂²	1	1	yes	characteristic
140	C₂₃×#386	C₂²	1	1	yes	characteristic
141	C₂₃×#386	C₂²	1	1	yes	characteristic
142	C₂₃×#386	C₂²	1	1	yes	characteristic
143	C₂₃×#386	C₂²	1	1	yes	characteristic
144	C₂₃×#386	C₂²	1	1	yes	characteristic
145	C₂₃×#386	C₂²	1	1	yes	characteristic
146	C₂₃×#386	C₂²	1	1	yes	characteristic
147	C₂₃×#386	C₂²	1	1	yes	characteristic
148	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#385	C₂²	1	1	yes	characteristic
152	C₂₃×#385	C₂²	1	1	yes	characteristic
153	C₂₃×#385	C₂²	1	1	yes	characteristic
154	C₂₃×#385	C₂²	1	1	yes	characteristic
155	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#381	C₂²	1	1	yes	characteristic
157	C₂₃×#380	C₂²	1	1	yes	characteristic
158	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#379	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
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
178	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
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	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic
188	C₄³×C₂₃	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
190	C₂×#41×C₂₃	—	2	4	no	—
191	C₂×#41×C₂₃	—	2	4	no	—
192	C₂×#41×C₂₃	—	4	2	no	—
193	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
194	C₂²×Q₈×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	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	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₂₃	—	2	4	no	—
208	C₂³×C₄×C₂₃	—	2	4	no	—
209	C₂³×C₄×C₂₃	—	4	2	no	—
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×#126	—	2	4	no	—
226	C₂₃×#126	—	2	4	no	—
227	C₂₃×#125	—	2	4	no	—
228	C₂₃×#124	—	2	4	no	—
229	C₂₃×#124	—	2	4	no	—
230	C₂₃×#123	—	2	4	no	—
231	C₂₃×#123	—	2	4	no	—
232	C₂₃×#123	—	2	4	no	—
233	C₂₃×#123	—	2	4	no	—
234	C₂₃×#123	—	2	4	no	—
235	C₂₃×C₂²⋊Q₈	—	2	4	no	—
236	C₂₃×C₂²⋊Q₈	—	2	4	no	—
237	C₂₃×C₂²⋊Q₈	—	2	4	no	—
238	C₂₃×#121	—	2	4	no	—
239	C₂₃×#121	—	2	4	no	—
240	C₂₃×#121	—	2	4	no	—
241	C₂₃×#121	—	2	4	no	—
242	C₂₃×#121	—	2	4	no	—
243	C₂₃×#120	—	2	4	no	—
244	C₂₃×#120	—	2	4	no	—
245	C₂₃×#120	—	2	4	no	—
246	C₄×Q₈×C₂₃	—	2	4	no	—
247	C₄×D₄×C₂₃	—	2	4	no	—
248	C₄×D₄×C₂₃	—	2	4	no	—
249	C₄×D₄×C₂₃	—	2	4	no	—
250	C₄×D₄×C₂₃	—	2	4	no	—
251	C₄×D₄×C₂₃	—	2	4	no	—
252	C₄×D₄×C₂₃	—	2	4	no	—
253	C₄×D₄×C₂₃	—	2	4	no	—
254	C₄×D₄×C₂₃	—	2	4	no	—
255	C₄×D₄×C₂₃	—	4	2	no	—
256	C₄×D₄×C₂₃	—	4	2	no	—
257	C₄×D₄×C₂₃	D₄	1	8	yes	complemented
258	C₂₃×#117	—	2	4	no	—
259	C₂₃×#117	—	2	4	no	—
260	C₂₃×#117	—	2	4	no	—
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×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
288	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
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×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₂₃	—	2	4	no	—
338	C₂×C₄²×C₂₃	—	4	2	no	—
339	C₂×C₄²×C₂₃	—	4	2	no	—
340	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₂₃	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	C₂₃×#95	C₂³	1	1	yes	characteristic
383	C₂₃×#95	C₂³	1	1	yes	characteristic
384	C₂₃×#95	C₂³	1	1	yes	characteristic
385	C₂₃×#95	C₂³	1	1	yes	characteristic
386	C₂₃×#95	C₂³	1	1	yes	characteristic
387	C₂₃×#95	C₂³	1	1	yes	characteristic
388	C₂₃×#95	C₂³	1	1	yes	characteristic
389	C₂₃×#95	C₂³	1	1	yes	characteristic
390	C₂₃×#95	C₂³	1	1	yes	characteristic
391	C₂⁴×C₂₃	—	2	2	no	—
392	C₂⁴×C₂₃	—	2	2	no	—
393	C₂⁴×C₂₃	—	2	2	no	—
394	C₂⁴×C₂₃	—	2	2	no	—
395	C₂⁴×C₂₃	—	2	2	no	—
396	C₂⁴×C₂₃	—	4	1	no	—
397	C₂⁴×C₂₃	—	4	1	no	—
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	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
404	#41×C₂₃	—	4	16	no	—
405	C₂×Q₈×C₂₃	—	2	2	no	—
406	C₂×Q₈×C₂₃	—	2	2	no	—
407	C₂×Q₈×C₂₃	—	2	2	no	—
408	C₂×Q₈×C₂₃	—	2	2	no	—
409	C₂×Q₈×C₂₃	—	4	1	no	—
410	C₂×Q₈×C₂₃	—	4	1	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	—	2	2	no	—
415	C₂×D₄×C₂₃	—	2	2	no	—
416	C₂×D₄×C₂₃	—	2	2	no	—
417	C₂×D₄×C₂₃	—	2	2	no	—
418	C₂×D₄×C₂₃	—	2	2	no	—
419	C₂×D₄×C₂₃	—	2	2	no	—
420	C₂×D₄×C₂₃	—	2	2	no	—
421	C₂×D₄×C₂₃	—	2	2	no	—
422	C₂×D₄×C₂₃	—	2	2	no	—
423	C₂×D₄×C₂₃	—	2	2	no	—
424	C₂×D₄×C₂₃	—	2	2	no	—
425	C₂×D₄×C₂₃	—	2	2	no	—
426	C₂×D₄×C₂₃	—	2	2	no	—
427	C₂×D₄×C₂₃	—	2	2	no	—
428	C₂×D₄×C₂₃	—	2	2	no	—
429	C₂×D₄×C₂₃	—	2	2	no	—
430	C₂×D₄×C₂₃	—	2	2	no	—
431	C₂×D₄×C₂₃	—	2	2	no	—
432	C₂×D₄×C₂₃	—	2	2	no	—
433	C₂×D₄×C₂₃	—	2	2	no	—
434	C₂×D₄×C₂₃	—	2	2	no	—
435	C₂×D₄×C₂₃	—	2	2	no	—
436	C₂×D₄×C₂₃	—	4	1	no	—
437	C₂×D₄×C₂₃	—	4	1	no	—
438	C₂×D₄×C₂₃	—	4	1	no	—
439	C₂×D₄×C₂₃	—	4	1	no	—
440	C₂×D₄×C₂₃	—	4	1	no	—
441	C₂×D₄×C₂₃	—	4	1	no	—
442	C₂×D₄×C₂₃	—	4	1	no	—
443	C₂×D₄×C₂₃	—	4	1	no	—
444	C₂×D₄×C₂₃	—	4	1	no	—
445	C₂×D₄×C₂₃	—	4	1	no	—
446	C₂×D₄×C₂₃	C₂×D₄	1	4	yes	—
447	C₂²×C₄×C₂₃	—	2	2	no	—
448	C₂²×C₄×C₂₃	—	2	2	no	—
449	C₂²×C₄×C₂₃	—	2	2	no	—
450	C₂²×C₄×C₂₃	—	2	2	no	—
451	C₂²×C₄×C₂₃	—	2	2	no	—
452	C₂²×C₄×C₂₃	—	2	2	no	—
453	C₂²×C₄×C₂₃	—	2	2	no	—
454	C₂²×C₄×C₂₃	—	2	2	no	—
455	C₂²×C₄×C₂₃	—	2	2	no	—
456	C₂²×C₄×C₂₃	—	2	2	no	—
457	C₂²×C₄×C₂₃	—	2	2	no	—
458	C₂²×C₄×C₂₃	—	2	2	no	—
459	C₂²×C₄×C₂₃	—	2	2	no	—
460	C₂²×C₄×C₂₃	—	2	2	no	—
461	C₂²×C₄×C₂₃	—	2	2	no	—
462	C₂²×C₄×C₂₃	—	2	2	no	—
463	C₂²×C₄×C₂₃	—	2	2	no	—
464	C₂²×C₄×C₂₃	—	2	2	no	—
465	C₂²×C₄×C₂₃	—	2	2	no	—
466	C₂²×C₄×C₂₃	—	2	2	no	—
467	C₂²×C₄×C₂₃	—	2	2	no	—
468	C₂²×C₄×C₂₃	—	2	2	no	—
469	C₂²×C₄×C₂₃	—	2	2	no	—
470	C₂²×C₄×C₂₃	—	2	2	no	—
471	C₂²×C₄×C₂₃	—	2	2	no	—
472	C₂²×C₄×C₂₃	—	2	2	no	—
473	C₂²×C₄×C₂₃	—	2	2	no	—
474	C₂²×C₄×C₂₃	—	2	2	no	—
475	C₂²×C₄×C₂₃	—	2	2	no	—
476	C₂²×C₄×C₂₃	—	2	2	no	—
477	C₂²×C₄×C₂₃	—	2	2	no	—
478	C₂²×C₄×C₂₃	—	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	C₂×D₄	1	4	yes	—
490	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
491	C₂²×C₄×C₂₃	#41	1	4	yes	—
492	C₂²×C₄×C₂₃	#41	1	4	yes	complemented
493	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₂₃	—	2	2	no	—
519	C₄⋊C₄×C₂₃	—	2	2	no	—
520	C₄⋊C₄×C₂₃	—	2	2	no	—
521	C₄⋊C₄×C₂₃	—	2	2	no	—
522	C₄⋊C₄×C₂₃	—	2	2	no	—
523	C₄⋊C₄×C₂₃	—	2	2	no	—
524	C₄⋊C₄×C₂₃	—	2	2	no	—
525	C₄⋊C₄×C₂₃	—	2	2	no	—
526	C₄⋊C₄×C₂₃	—	2	2	no	—
527	C₄⋊C₄×C₂₃	—	2	2	no	—
528	C₄⋊C₄×C₂₃	—	2	2	no	—
529	C₄⋊C₄×C₂₃	—	2	2	no	—
530	C₄⋊C₄×C₂₃	—	2	2	no	—
531	C₄⋊C₄×C₂₃	—	2	2	no	—
532	C₄⋊C₄×C₂₃	—	2	2	no	—
533	C₄⋊C₄×C₂₃	—	2	2	no	—
534	C₄⋊C₄×C₂₃	—	2	2	no	—
535	C₄⋊C₄×C₂₃	—	2	2	no	—
536	C₄⋊C₄×C₂₃	—	2	2	no	—
537	C₄⋊C₄×C₂₃	—	2	2	no	—
538	C₄⋊C₄×C₂₃	—	2	2	no	—
539	C₄⋊C₄×C₂₃	—	4	1	no	—
540	C₄⋊C₄×C₂₃	—	4	1	no	—
541	C₄⋊C₄×C₂₃	—	4	1	no	—
542	C₄⋊C₄×C₂₃	—	4	1	no	—
543	C₄⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
555	C₂²⋊C₄×C₂₃	—	2	2	no	—
556	C₂²⋊C₄×C₂₃	—	2	2	no	—
557	C₂²⋊C₄×C₂₃	—	2	2	no	—
558	C₂²⋊C₄×C₂₃	—	2	2	no	—
559	C₂²⋊C₄×C₂₃	—	2	2	no	—
560	C₂²⋊C₄×C₂₃	—	2	2	no	—
561	C₂²⋊C₄×C₂₃	—	2	2	no	—
562	C₂²⋊C₄×C₂₃	—	2	2	no	—
563	C₂²⋊C₄×C₂₃	—	2	2	no	—
564	C₂²⋊C₄×C₂₃	—	2	2	no	—
565	C₂²⋊C₄×C₂₃	—	2	2	no	—
566	C₂²⋊C₄×C₂₃	—	2	2	no	—
567	C₂²⋊C₄×C₂₃	—	2	2	no	—
568	C₂²⋊C₄×C₂₃	—	2	2	no	—
569	C₂²⋊C₄×C₂₃	—	2	2	no	—
570	C₂²⋊C₄×C₂₃	—	2	2	no	—
571	C₂²⋊C₄×C₂₃	—	2	2	no	—
572	C₂²⋊C₄×C₂₃	—	2	2	no	—
573	C₂²⋊C₄×C₂₃	—	2	2	no	—
574	C₂²⋊C₄×C₂₃	—	2	2	no	—
575	C₂²⋊C₄×C₂₃	—	2	2	no	—
576	C₂²⋊C₄×C₂₃	—	2	2	no	—
577	C₂²⋊C₄×C₂₃	—	2	2	no	—
578	C₂²⋊C₄×C₂₃	—	2	2	no	—
579	C₂²⋊C₄×C₂₃	—	2	2	no	—
580	C₂²⋊C₄×C₂₃	—	2	2	no	—
581	C₂²⋊C₄×C₂₃	—	2	2	no	—
582	C₂²⋊C₄×C₂₃	—	4	1	no	—
583	C₂²⋊C₄×C₂₃	—	4	1	no	—
584	C₂²⋊C₄×C₂₃	—	4	1	no	—
585	C₂²⋊C₄×C₂₃	—	4	1	no	—
586	C₂²⋊C₄×C₂₃	—	4	1	no	—
587	C₂²⋊C₄×C₂₃	—	4	1	no	—
588	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
589	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
590	C₂²⋊C₄×C₂₃	#41	1	4	yes	complemented
591	C₂²⋊C₄×C₂₃	#41	1	4	yes	complemented
592	C₄²×C₂₃	—	2	2	no	—
593	C₄²×C₂₃	—	2	2	no	—
594	C₄²×C₂₃	—	2	2	no	—
595	C₄²×C₂₃	—	2	2	no	—
596	C₄²×C₂₃	—	2	2	no	—
597	C₄²×C₂₃	—	2	2	no	—
598	C₄²×C₂₃	—	2	2	no	—
599	C₄²×C₂₃	—	2	2	no	—
600	C₄²×C₂₃	—	2	2	no	—
601	C₄²×C₂₃	—	2	2	no	—
602	C₄²×C₂₃	—	2	2	no	—
603	C₄²×C₂₃	—	2	2	no	—
604	C₄²×C₂₃	—	2	2	no	—
605	C₄²×C₂₃	—	4	1	no	—
606	C₄²×C₂₃	—	4	1	no	—
607	C₄²×C₂₃	—	4	1	no	—
608	C₄²×C₂₃	—	4	1	no	—
609	C₄²×C₂₃	—	4	1	no	—
610	C₄²×C₂₃	C₂×D₄	1	4	yes	—
611	#34829	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
612	C₂³×C₂₃	—	2	1	no	—
613	C₂³×C₂₃	—	2	1	no	—
614	C₂³×C₂₃	—	2	1	no	—
615	C₂³×C₂₃	—	2	1	no	—
616	C₂³×C₂₃	—	2	8	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	1	no	—
639	C₂³×C₂₃	—	2	1	no	—
640	C₂³×C₂₃	—	2	1	no	—
641	C₂³×C₂₃	—	2	1	no	—
642	C₂³×C₂₃	—	2	1	no	—
643	C₂³×C₂₃	—	2	1	no	—
644	C₂³×C₂₃	—	2	1	no	—
645	C₂³×C₂₃	—	2	1	no	—
646	C₂³×C₂₃	—	2	1	no	—
647	C₂³×C₂₃	—	2	1	no	—
648	C₂³×C₂₃	—	2	1	no	—
649	C₂³×C₂₃	—	4	4	no	—
650	C₂³×C₂₃	—	4	4	no	—
651	C₂³×C₂₃	—	4	4	no	—
652	C₂³×C₂₃	—	4	4	no	—
653	C₂³×C₂₃	—	4	4	no	—
654	C₂³×C₂₃	—	4	4	no	—
655	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
656	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
657	C₂³×C₂₃	C₂×#41	1	2	yes	—
658	C₂³×C₂₃	C₂×#41	1	2	yes	—
659	C₂³×C₂₃	C₂×#41	1	2	yes	—
660	C₂³×C₂₃	C₂×#41	1	2	yes	—
661	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
662	Q₈×C₂₃	—	4	4	no	—
663	Q₈×C₂₃	—	4	4	no	—
664	D₄×C₂₃	—	2	8	no	—
665	D₄×C₂₃	—	4	4	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	D₄×C₂₃	—	4	4	no	—
672	D₄×C₂₃	—	4	4	no	—
673	D₄×C₂₃	—	4	4	no	—
674	D₄×C₂₃	—	4	4	no	—
675	D₄×C₂₃	—	4	4	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	8	no	—
699	C₂×C₄×C₂₃	—	2	8	no	—
700	C₂×C₄×C₂₃	—	2	8	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	—	2	1	no	—
738	C₂×C₄×C₂₃	—	2	1	no	—
739	C₂×C₄×C₂₃	—	2	1	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	—	4	4	no	—
749	C₂×C₄×C₂₃	—	4	4	no	—
750	C₂×C₄×C₂₃	—	4	4	no	—
751	C₂×C₄×C₂₃	—	4	4	no	—
752	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
753	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
754	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
755	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
756	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
757	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
758	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
759	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
760	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
761	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
762	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
763	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
764	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
765	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
766	C₂×#529	C₂×C₂₃	1	1	yes	characteristic, complemented
767	C₂×#525	C₂×C₂₃	1	1	yes	characteristic, complemented
768	#2560	C₂×C₂₃	1	1	yes	characteristic, complemented
769	#2559	C₂×C₂₃	1	1	yes	characteristic, complemented
770	#2558	C₂×C₂₃	1	1	yes	characteristic, complemented
771	#2557	C₂×C₂₃	1	1	yes	characteristic, complemented
772	#2556	C₂×C₂₃	1	1	yes	characteristic, complemented
773	#2555	C₂×C₂₃	1	1	yes	characteristic, complemented
774	#2554	C₂×C₂₃	1	1	yes	characteristic, complemented
775	#2553	C₂×C₂₃	1	1	yes	characteristic, complemented
776	#2549	C₂×C₂₃	1	1	yes	characteristic, complemented
777	#2543	C₂×C₂₃	1	1	yes	characteristic, complemented
778	#2539	C₂×C₂₃	1	1	yes	characteristic, complemented
779	#2534	C₂×C₂₃	1	1	yes	characteristic, complemented
780	#2488	C₂×C₂₃	1	1	yes	characteristic, complemented
781	#2472	C₂×C₂₃	1	1	yes	characteristic, complemented
782	#2425	C₂×C₂₃	1	1	yes	characteristic, complemented
783	#2424	C₂×C₂₃	1	1	yes	characteristic, complemented
784	#2396	C₂×C₂₃	1	1	yes	characteristic, complemented
785	#2395	C₂×C₂₃	1	1	yes	characteristic, complemented
786	#2392	C₂×C₂₃	1	1	yes	characteristic, complemented
787	#2388	C₂×C₂₃	1	1	yes	characteristic, complemented
788	C₄×#124	C₂×C₂₃	1	1	yes	characteristic, complemented
789	C₄×#123	C₂×C₂₃	1	1	yes	characteristic, complemented
790	C₄×#121	C₂×C₂₃	1	1	yes	characteristic, complemented
791	C₄×#121	C₂×C₂₃	1	1	yes	characteristic, complemented
792	C₄×#120	C₂×C₂₃	1	1	yes	characteristic, complemented
793	#2297	C₂×C₂₃	1	1	yes	characteristic, complemented
794	#2293	C₂×C₂₃	1	1	yes	characteristic, complemented
795	C₄²×D₄	C₂×C₂₃	1	1	yes	characteristic, complemented
796	C₂×C₄×C₂²⋊C₄	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	—	4	16	no	—
813	C₂²×C₂₃	—	4	1	no	—
814	C₂²×C₂₃	—	4	1	no	—
815	C₂²×C₂₃	—	4	1	no	—
816	C₂²×C₂₃	—	4	1	no	—
817	C₂²×C₂₃	—	4	1	no	—
818	C₂²×C₂₃	—	4	1	no	—
819	C₂²×C₂₃	—	4	1	no	—
820	C₂²×C₂₃	—	4	1	no	—
821	C₂²×C₂₃	—	4	1	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	—	4	1	no	—
839	C₂²×C₂₃	#532	1	4	yes	—
840	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
841	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
842	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
843	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
844	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
845	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
846	C₂²×C₂₃	#585	1	1	yes	characteristic
847	C₄×C₂₃	—	2	2	no	—
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	#546	1	4	yes	—
872	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic
873	C₂⁴×C₄	C₂²×C₂₃	1	1	yes	characteristic
874	#529	—	2	8	no	—
875	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
876	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
877	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
878	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
879	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
880	#525	—	2	8	no	—
881	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
882	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
883	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
884	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
885	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
886	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
887	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
888	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
889	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
890	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
891	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
892	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
893	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
894	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
895	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
896	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
897	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
898	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
899	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
900	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
901	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
902	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
903	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
904	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
905	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
906	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
907	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
908	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
909	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
910	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
911	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic, complemented
912	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
913	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
914	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
915	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
916	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
918	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
919	#399	C₂²×C₂₃	1	1	yes	characteristic
920	#399	C₂²×C₂₃	1	1	yes	characteristic
921	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#397	C₂²×C₂₃	1	1	yes	characteristic
926	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
929	#396	C₂²×C₂₃	1	1	yes	characteristic
930	#396	C₂²×C₂₃	1	1	yes	characteristic
931	#396	C₂²×C₂₃	1	1	yes	characteristic
932	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
933	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
934	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
935	#394	C₂²×C₂₃	1	1	yes	characteristic
936	#394	C₂²×C₂₃	1	1	yes	characteristic
937	#394	C₂²×C₂₃	1	1	yes	characteristic
938	#394	C₂²×C₂₃	1	1	yes	characteristic
939	#394	C₂²×C₂₃	1	1	yes	characteristic
940	#394	C₂²×C₂₃	1	1	yes	characteristic
941	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#393	C₂²×C₂₃	1	1	yes	characteristic
944	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#392	C₂²×C₂₃	1	1	yes	characteristic
946	#392	C₂²×C₂₃	1	1	yes	characteristic
947	#392	C₂²×C₂₃	1	1	yes	characteristic
948	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
950	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
951	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
952	#390	C₂²×C₂₃	1	1	yes	characteristic
953	#390	C₂²×C₂₃	1	1	yes	characteristic
954	#390	C₂²×C₂₃	1	1	yes	characteristic
955	#390	C₂²×C₂₃	1	1	yes	characteristic
956	#390	C₂²×C₂₃	1	1	yes	characteristic
957	#390	C₂²×C₂₃	1	1	yes	characteristic
958	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	#388	C₂²×C₂₃	1	1	yes	characteristic
964	#388	C₂²×C₂₃	1	1	yes	characteristic
965	#388	C₂²×C₂₃	1	1	yes	characteristic
966	#388	C₂²×C₂₃	1	1	yes	characteristic
967	#388	C₂²×C₂₃	1	1	yes	characteristic
968	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
970	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
974	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
975	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
976	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
977	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
978	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
979	#386	C₂²×C₂₃	1	1	yes	characteristic
980	#386	C₂²×C₂₃	1	1	yes	characteristic
981	#386	C₂²×C₂₃	1	1	yes	characteristic
982	#386	C₂²×C₂₃	1	1	yes	characteristic
983	#386	C₂²×C₂₃	1	1	yes	characteristic
984	#386	C₂²×C₂₃	1	1	yes	characteristic
985	#386	C₂²×C₂₃	1	1	yes	characteristic
986	#386	C₂²×C₂₃	1	1	yes	characteristic
987	#386	C₂²×C₂₃	1	1	yes	characteristic
988	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	#385	C₂²×C₂₃	1	1	yes	characteristic
992	#385	C₂²×C₂₃	1	1	yes	characteristic
993	#385	C₂²×C₂₃	1	1	yes	characteristic
994	#385	C₂²×C₂₃	1	1	yes	characteristic
995	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#381	C₂²×C₂₃	1	1	yes	characteristic
997	#380	C₂²×C₂₃	1	1	yes	characteristic
998	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#379	C₂²×C₂₃	1	1	yes	characteristic
1000	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1007	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1008	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1009	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1010	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1011	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1012	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
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
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	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1027	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1028	C₄³	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	C₂×C₂₃	—	2	4	no	—
1030	C₂×C₂₃	—	4	2	no	—
1031	C₂×C₂₃	—	4	2	no	—
1032	C₂×C₂₃	—	4	2	no	—
1033	C₂×C₂₃	—	8	1	no	—
1034	C₂×C₂₃	—	8	1	no	—
1035	C₂×C₂₃	C₂×#532	1	1	yes	characteristic
1036	C₂×C₂₃	#3444	1	1	yes	characteristic
1037	C₂×C₂₃	#3459	1	1	yes	characteristic
1038	C₂×C₂₃	C₂×#546	1	1	yes	characteristic
1039	C₂×C₂₃	D₄×#41	1	1	yes	characteristic
1040	C₂×C₂₃	#3475	1	1	yes	characteristic
1041	C₂×C₂₃	#3481	1	1	yes	characteristic
1042	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1043	C₂×#41	—	2	4	no	—
1044	C₂×#41	—	2	4	no	—
1045	C₂×#41	—	4	2	no	—
1046	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1047	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1049	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1050	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
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	—	2	4	no	—
1061	C₂³×C₄	—	2	4	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	#126	—	2	4	no	—
1079	#126	—	2	4	no	—
1080	#125	—	2	4	no	—
1081	#124	—	2	4	no	—
1082	#124	—	2	4	no	—
1083	#123	—	2	4	no	—
1084	#123	—	2	4	no	—
1085	#123	—	2	4	no	—
1086	#123	—	2	4	no	—
1087	#123	—	2	4	no	—
1088	C₂²⋊Q₈	—	2	4	no	—
1089	C₂²⋊Q₈	—	2	4	no	—
1090	C₂²⋊Q₈	—	2	4	no	—
1091	#121	—	2	4	no	—
1092	#121	—	2	4	no	—
1093	#121	—	2	4	no	—
1094	#121	—	2	4	no	—
1095	#121	—	2	4	no	—
1096	#120	—	2	4	no	—
1097	#120	—	2	4	no	—
1098	#120	—	2	4	no	—
1099	C₄×Q₈	—	2	4	no	—
1100	C₄×D₄	—	2	4	no	—
1101	C₄×D₄	—	2	4	no	—
1102	C₄×D₄	—	2	4	no	—
1103	C₄×D₄	—	2	4	no	—
1104	C₄×D₄	—	2	4	no	—
1105	C₄×D₄	—	2	4	no	—
1106	C₄×D₄	—	2	4	no	—
1107	C₄×D₄	—	2	4	no	—
1108	C₄×D₄	—	4	2	no	—
1109	C₄×D₄	—	4	2	no	—
1110	C₄×D₄	D₄×C₂₃	1	8	yes	complemented
1111	#117	—	2	4	no	—
1112	#117	—	2	4	no	—
1113	#117	—	2	4	no	—
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×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1131	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1132	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1133	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1134	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1136	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1138	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1139	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	—	2	4	no	—
1141	C₂×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1190	C₂×C₄²	—	2	4	no	—
1191	C₂×C₄²	—	4	2	no	—
1192	C₂×C₄²	—	4	2	no	—
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	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1197	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1198	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1199	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1200	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1201	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1202	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1203	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1204	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1205	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1206	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1207	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1208	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1209	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1210	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1211	C₂×C₄²	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	#95	C₂³×C₂₃	1	1	yes	characteristic
1237	#95	C₂³×C₂₃	1	1	yes	characteristic
1238	#95	C₂³×C₂₃	1	1	yes	characteristic
1239	#95	C₂³×C₂₃	1	1	yes	characteristic
1240	#95	C₂³×C₂₃	1	1	yes	characteristic
1241	#95	C₂³×C₂₃	1	1	yes	characteristic
1242	#95	C₂³×C₂₃	1	1	yes	characteristic
1243	#95	C₂³×C₂₃	1	1	yes	characteristic
1244	C₂₃	#34829	1	1	yes	characteristic, direct product factor, Sylow
1245	C₂⁴	—	2	2	no	—
1246	C₂⁴	—	2	2	no	—
1247	C₂⁴	—	2	2	no	—
1248	C₂⁴	—	2	2	no	—
1249	C₂⁴	—	2	2	no	—
1250	C₂⁴	—	4	1	no	—
1251	C₂⁴	—	4	1	no	—
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	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1258	#41	—	4	16	no	—
1259	C₂×Q₈	—	2	2	no	—
1260	C₂×Q₈	—	2	2	no	—
1261	C₂×Q₈	—	2	2	no	—
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	4	1	no	—
1264	C₂×Q₈	—	4	1	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	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	2	no	—
1281	C₂×D₄	—	2	2	no	—
1282	C₂×D₄	—	2	2	no	—
1283	C₂×D₄	—	2	2	no	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	2	no	—
1286	C₂×D₄	—	2	2	no	—
1287	C₂×D₄	—	2	2	no	—
1288	C₂×D₄	—	2	2	no	—
1289	C₂×D₄	—	2	2	no	—
1290	C₂×D₄	—	4	1	no	—
1291	C₂×D₄	—	4	1	no	—
1292	C₂×D₄	—	4	1	no	—
1293	C₂×D₄	—	4	1	no	—
1294	C₂×D₄	—	4	1	no	—
1295	C₂×D₄	—	4	1	no	—
1296	C₂×D₄	—	4	1	no	—
1297	C₂×D₄	—	4	1	no	—
1298	C₂×D₄	—	4	1	no	—
1299	C₂×D₄	—	4	1	no	—
1300	C₂×D₄	C₂×D₄×C₂₃	1	4	yes	—
1301	C₂²×C₄	—	2	2	no	—
1302	C₂²×C₄	—	2	2	no	—
1303	C₂²×C₄	—	2	2	no	—
1304	C₂²×C₄	—	2	2	no	—
1305	C₂²×C₄	—	2	2	no	—
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	2	no	—
1309	C₂²×C₄	—	2	2	no	—
1310	C₂²×C₄	—	2	2	no	—
1311	C₂²×C₄	—	2	2	no	—
1312	C₂²×C₄	—	2	2	no	—
1313	C₂²×C₄	—	2	2	no	—
1314	C₂²×C₄	—	2	2	no	—
1315	C₂²×C₄	—	2	2	no	—
1316	C₂²×C₄	—	2	2	no	—
1317	C₂²×C₄	—	2	2	no	—
1318	C₂²×C₄	—	2	2	no	—
1319	C₂²×C₄	—	2	2	no	—
1320	C₂²×C₄	—	2	2	no	—
1321	C₂²×C₄	—	2	2	no	—
1322	C₂²×C₄	—	2	2	no	—
1323	C₂²×C₄	—	2	2	no	—
1324	C₂²×C₄	—	2	2	no	—
1325	C₂²×C₄	—	2	2	no	—
1326	C₂²×C₄	—	2	2	no	—
1327	C₂²×C₄	—	2	2	no	—
1328	C₂²×C₄	—	2	2	no	—
1329	C₂²×C₄	—	2	2	no	—
1330	C₂²×C₄	—	2	2	no	—
1331	C₂²×C₄	—	2	2	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	16	no	—
1343	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
1344	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
1345	C₂²×C₄	#41×C₂₃	1	4	yes	—
1346	C₂²×C₄	#41×C₂₃	1	4	yes	complemented
1347	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1373	C₄⋊C₄	—	2	2	no	—
1374	C₄⋊C₄	—	2	2	no	—
1375	C₄⋊C₄	—	2	2	no	—
1376	C₄⋊C₄	—	2	2	no	—
1377	C₄⋊C₄	—	2	2	no	—
1378	C₄⋊C₄	—	2	2	no	—
1379	C₄⋊C₄	—	2	2	no	—
1380	C₄⋊C₄	—	2	2	no	—
1381	C₄⋊C₄	—	2	2	no	—
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	2	no	—
1385	C₄⋊C₄	—	2	2	no	—
1386	C₄⋊C₄	—	2	2	no	—
1387	C₄⋊C₄	—	2	2	no	—
1388	C₄⋊C₄	—	2	2	no	—
1389	C₄⋊C₄	—	2	2	no	—
1390	C₄⋊C₄	—	2	2	no	—
1391	C₄⋊C₄	—	2	2	no	—
1392	C₄⋊C₄	—	2	2	no	—
1393	C₄⋊C₄	—	4	1	no	—
1394	C₄⋊C₄	—	4	1	no	—
1395	C₄⋊C₄	—	4	1	no	—
1396	C₄⋊C₄	—	4	1	no	—
1397	C₄⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1398	C₂²⋊C₄	—	2	2	no	—
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	—	2	2	no	—
1410	C₂²⋊C₄	—	2	2	no	—
1411	C₂²⋊C₄	—	2	2	no	—
1412	C₂²⋊C₄	—	2	2	no	—
1413	C₂²⋊C₄	—	2	2	no	—
1414	C₂²⋊C₄	—	2	2	no	—
1415	C₂²⋊C₄	—	2	2	no	—
1416	C₂²⋊C₄	—	2	2	no	—
1417	C₂²⋊C₄	—	2	2	no	—
1418	C₂²⋊C₄	—	2	2	no	—
1419	C₂²⋊C₄	—	2	2	no	—
1420	C₂²⋊C₄	—	2	2	no	—
1421	C₂²⋊C₄	—	2	2	no	—
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	2	2	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	2	2	no	—
1432	C₂²⋊C₄	—	2	2	no	—
1433	C₂²⋊C₄	—	2	2	no	—
1434	C₂²⋊C₄	—	2	2	no	—
1435	C₂²⋊C₄	—	2	2	no	—
1436	C₂²⋊C₄	—	4	1	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	1	no	—
1442	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1443	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1444	C₂²⋊C₄	#41×C₂₃	1	4	yes	complemented
1445	C₂²⋊C₄	#41×C₂₃	1	4	yes	complemented
1446	C₄²	—	2	2	no	—
1447	C₄²	—	2	2	no	—
1448	C₄²	—	2	2	no	—
1449	C₄²	—	2	2	no	—
1450	C₄²	—	2	2	no	—
1451	C₄²	—	2	2	no	—
1452	C₄²	—	2	2	no	—
1453	C₄²	—	2	2	no	—
1454	C₄²	—	2	2	no	—
1455	C₄²	—	2	2	no	—
1456	C₄²	—	2	2	no	—
1457	C₄²	—	2	2	no	—
1458	C₄²	—	2	2	no	—
1459	C₄²	—	4	1	no	—
1460	C₄²	—	4	1	no	—
1461	C₄²	—	4	1	no	—
1462	C₄²	—	4	1	no	—
1463	C₄²	—	4	1	no	—
1464	C₄²	C₂×D₄×C₂₃	1	4	yes	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	8	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	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	4	4	no	—
1503	C₂³	—	4	4	no	—
1504	C₂³	—	4	4	no	—
1505	C₂³	—	4	4	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	4	no	—
1508	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1509	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1510	C₂³	C₂×#41×C₂₃	1	2	yes	—
1511	C₂³	C₂×#41×C₂₃	1	2	yes	—
1512	C₂³	C₂×#41×C₂₃	1	2	yes	—
1513	C₂³	C₂×#41×C₂₃	1	2	yes	—
1514	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1515	Q₈	—	4	4	no	—
1516	Q₈	—	4	4	no	—
1517	D₄	—	2	8	no	—
1518	D₄	—	4	4	no	—
1519	D₄	—	4	4	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	D₄	—	4	4	no	—
1526	D₄	—	4	4	no	—
1527	D₄	—	4	4	no	—
1528	D₄	—	4	4	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	1	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	8	no	—
1552	C₂×C₄	—	2	8	no	—
1553	C₂×C₄	—	2	8	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	—	2	1	no	—
1592	C₂×C₄	—	2	1	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	—	4	4	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1606	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1607	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1608	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1609	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1610	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1611	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1612	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1613	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1614	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1615	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1616	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1617	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1618	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1619	C₂²	—	2	2	no	—
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	—	4	16	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	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	C₂₃×#532	1	4	yes	—
1662	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1663	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1664	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1665	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1666	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1667	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1668	C₂²	C₂₃×#585	1	1	yes	characteristic
1669	C₄	—	2	2	no	—
1670	C₄	—	2	2	no	—
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	—	4	1	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	C₂₃×#546	1	4	yes	—
1694	C₂	—	2	4	no	—
1695	C₂	—	4	2	no	—
1696	C₂	—	4	2	no	—
1697	C₂	—	4	2	no	—
1698	C₂	—	8	1	no	—
1699	C₂	—	8	1	no	—
1700	C₂	C₂×C₂₃×#532	1	1	yes	characteristic
1701	C₂	C₂₃×#3444	1	1	yes	characteristic
1702	C₂	C₂₃×#3459	1	1	yes	characteristic
1703	C₂	C₂×C₂₃×#546	1	1	yes	characteristic
1704	C₂	D₄×#41×C₂₃	1	1	yes	characteristic
1705	C₂	C₂₃×#3475	1	1	yes	characteristic
1706	C₂	C₂₃×#3481	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#529	C₂	semidirect
2. C₂×C₂₃×#525	C₂	semidirect
3. C₂₃×#2560	C₂	semidirect
4. C₂₃×#2559	C₂	semidirect
5. C₂₃×#2558	C₂	semidirect
6. C₂₃×#2557	C₂	semidirect
7. C₂₃×#2556	C₂	semidirect
8. C₂₃×#2555	C₂	semidirect
9. C₂₃×#2554	C₂	semidirect
10. C₂₃×#2553	C₂	semidirect
11. C₂₃×#2549	C₂	semidirect
12. C₂₃×#2543	C₂	semidirect
13. C₂₃×#2539	C₂	semidirect
14. C₂₃×#2534	C₂	semidirect
15. C₂₃×#2488	C₂	semidirect
16. C₂₃×#2472	C₂	semidirect
17. C₂₃×#2425	C₂	semidirect
18. C₂₃×#2424	C₂	semidirect
19. C₂₃×#2396	C₂	semidirect
20. C₂₃×#2395	C₂	semidirect
21. C₂₃×#2392	C₂	semidirect
22. C₂₃×#2388	C₂	semidirect
23. C₄×C₂₃×#124	C₂	semidirect
24. C₄×C₂₃×#123	C₂	semidirect
25. C₄×C₂₃×#121	C₂	semidirect
26. C₄×C₂₃×#121	C₂	semidirect
27. C₄×C₂₃×#120	C₂	semidirect
28. C₂₃×#2297	C₂	semidirect
29. C₂₃×#2293	C₂	semidirect
30. C₄²×D₄×C₂₃	C₂	semidirect
31. C₂×C₄×C₂²⋊C₄×C₂₃	C₂	semidirect
35. C₂×C₂₃×#126	C₂²	semidirect
36. C₂×C₂₃×#126	C₂²	semidirect
37. C₂×C₂₃×#125	C₂²	semidirect
39. C₂×C₂₃×#124	C₂²	semidirect
57. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
67. C₂×C₄×D₄×C₂₃	C₂²	semidirect
68. C₂×C₄×D₄×C₂₃	C₂²	semidirect
70. C₂×C₂₃×#117	C₂²	semidirect
71. C₂×C₂₃×#117	C₂²	semidirect
76. C₂²×C₄²×C₂₃	C₂²	semidirect
77. C₂₃×#400	C₂²	semidirect
78. C₂₃×#400	C₂²	semidirect
81. C₂₃×#398	C₂²	semidirect
82. C₂₃×#398	C₂²	semidirect
83. C₂₃×#398	C₂²	semidirect
84. C₂₃×#398	C₂²	semidirect
86. C₂₃×#397	C₂²	semidirect
87. C₂₃×#397	C₂²	semidirect
88. C₂₃×#397	C₂²	semidirect
92. C₂₃×#396	C₂²	semidirect
93. C₂₃×#395	C₂²	semidirect
94. C₂₃×#395	C₂²	semidirect
101. C₂₃×#394	C₂²	semidirect
102. C₂₃×#394	C₂²	semidirect
104. C₂₃×#393	C₂²	semidirect
108. C₂₃×#392	C₂²	semidirect
109. C₂₃×#391	C₂²	semidirect
110. C₂₃×#391	C₂²	semidirect
111. C₂₃×#391	C₂²	semidirect
118. C₂₃×#390	C₂²	semidirect
119. C₂₃×#389	C₂²	semidirect
120. C₂₃×#389	C₂²	semidirect
121. C₂₃×#389	C₂²	semidirect
122. C₂₃×#389	C₂²	semidirect
128. C₂₃×#388	C₂²	semidirect
129. C₂₃×#388	C₂²	semidirect
130. C₂₃×#388	C₂²	semidirect
131. C₂₃×#388	C₂²	semidirect
132. C₂₃×#388	C₂²	semidirect
133. C₂₃×#388	C₂²	semidirect
134. C₂₃×#388	C₂²	semidirect
135. C₂₃×#388	C₂²	semidirect
136. C₂₃×#388	C₂²	semidirect
137. C₂₃×#387	C₂²	semidirect
138. C₂₃×#387	C₂²	semidirect
148. C₂₃×#386	C₂²	semidirect
149. C₂₃×#386	C₂²	semidirect
150. C₂₃×#386	C₂²	semidirect
155. C₂₃×#382	C₂²	semidirect
158. C₂₃×#380	C₂²	semidirect
160. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
161. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
162. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
163. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
164. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
165. C₄×C₄⋊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
183. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
188. C₄³×C₂₃	C₂²	semidirect
257. C₄×D₄×C₂₃	D₄	semidirect
492. C₂²×C₄×C₂₃	#41	semidirect
590. C₂²⋊C₄×C₂₃	#41	semidirect
591. C₂²⋊C₄×C₂₃	#41	semidirect
611. #34829	C₂₃	direct (N × H)
766. C₂×#529	C₂×C₂₃	semidirect
767. C₂×#525	C₂×C₂₃	semidirect
768. #2560	C₂×C₂₃	semidirect
769. #2559	C₂×C₂₃	semidirect
770. #2558	C₂×C₂₃	semidirect
771. #2557	C₂×C₂₃	semidirect
772. #2556	C₂×C₂₃	semidirect
773. #2555	C₂×C₂₃	semidirect
774. #2554	C₂×C₂₃	semidirect
775. #2553	C₂×C₂₃	semidirect
776. #2549	C₂×C₂₃	semidirect
777. #2543	C₂×C₂₃	semidirect
778. #2539	C₂×C₂₃	semidirect
779. #2534	C₂×C₂₃	semidirect
780. #2488	C₂×C₂₃	semidirect
781. #2472	C₂×C₂₃	semidirect
782. #2425	C₂×C₂₃	semidirect
783. #2424	C₂×C₂₃	semidirect
784. #2396	C₂×C₂₃	semidirect
785. #2395	C₂×C₂₃	semidirect
786. #2392	C₂×C₂₃	semidirect
787. #2388	C₂×C₂₃	semidirect
788. C₄×#124	C₂×C₂₃	semidirect
789. C₄×#123	C₂×C₂₃	semidirect
790. C₄×#121	C₂×C₂₃	semidirect
791. C₄×#121	C₂×C₂₃	semidirect
792. C₄×#120	C₂×C₂₃	semidirect
793. #2297	C₂×C₂₃	semidirect
794. #2293	C₂×C₂₃	semidirect
795. C₄²×D₄	C₂×C₂₃	semidirect
796. C₂×C₄×C₂²⋊C₄	C₂×C₂₃	semidirect
875. C₂×#126	C₂²×C₂₃	semidirect
876. C₂×#126	C₂²×C₂₃	semidirect
877. C₂×#125	C₂²×C₂₃	semidirect
879. C₂×#124	C₂²×C₂₃	semidirect
897. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
907. C₂×C₄×D₄	C₂²×C₂₃	semidirect
908. C₂×C₄×D₄	C₂²×C₂₃	semidirect
910. C₂×#117	C₂²×C₂₃	semidirect
911. C₂×#117	C₂²×C₂₃	semidirect
916. C₂²×C₄²	C₂²×C₂₃	semidirect
917. #400	C₂²×C₂₃	semidirect
918. #400	C₂²×C₂₃	semidirect
921. #398	C₂²×C₂₃	semidirect
922. #398	C₂²×C₂₃	semidirect
923. #398	C₂²×C₂₃	semidirect
924. #398	C₂²×C₂₃	semidirect
926. #397	C₂²×C₂₃	semidirect
927. #397	C₂²×C₂₃	semidirect
928. #397	C₂²×C₂₃	semidirect
932. #396	C₂²×C₂₃	semidirect
933. #395	C₂²×C₂₃	semidirect
934. #395	C₂²×C₂₃	semidirect
941. #394	C₂²×C₂₃	semidirect
942. #394	C₂²×C₂₃	semidirect
944. #393	C₂²×C₂₃	semidirect
948. #392	C₂²×C₂₃	semidirect
949. #391	C₂²×C₂₃	semidirect
950. #391	C₂²×C₂₃	semidirect
951. #391	C₂²×C₂₃	semidirect
958. #390	C₂²×C₂₃	semidirect
959. #389	C₂²×C₂₃	semidirect
960. #389	C₂²×C₂₃	semidirect
961. #389	C₂²×C₂₃	semidirect
962. #389	C₂²×C₂₃	semidirect
968. #388	C₂²×C₂₃	semidirect
969. #388	C₂²×C₂₃	semidirect
970. #388	C₂²×C₂₃	semidirect
971. #388	C₂²×C₂₃	semidirect
972. #388	C₂²×C₂₃	semidirect
973. #388	C₂²×C₂₃	semidirect
974. #388	C₂²×C₂₃	semidirect
975. #388	C₂²×C₂₃	semidirect
976. #388	C₂²×C₂₃	semidirect
977. #387	C₂²×C₂₃	semidirect
978. #387	C₂²×C₂₃	semidirect
988. #386	C₂²×C₂₃	semidirect
989. #386	C₂²×C₂₃	semidirect
990. #386	C₂²×C₂₃	semidirect
995. #382	C₂²×C₂₃	semidirect
998. #380	C₂²×C₂₃	semidirect
1000. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1001. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1002. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1003. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1004. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1005. C₄×C₄⋊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
1024. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1025. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1028. C₄³	C₂²×C₂₃	semidirect
1110. C₄×D₄	D₄×C₂₃	semidirect
1244. C₂₃	#34829	direct (N × H)
1346. C₂²×C₄	#41×C₂₃	semidirect
1444. C₂²⋊C₄	#41×C₂₃	semidirect
1445. C₂²⋊C₄	#41×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×#529	2
C₂×C₂₃×#525	2
C₂₃×#2560	2
C₂₃×#2559	2
C₂₃×#2558	2
C₂₃×#2557	2
C₂₃×#2556	2
C₂₃×#2555	2
C₂₃×#2554	2
C₂₃×#2553	2
C₂₃×#2549	2
C₂₃×#2543	2
C₂₃×#2539	2
C₂₃×#2534	2
C₂₃×#2488	2
C₂₃×#2472	2
C₂₃×#2425	2
C₂₃×#2424	2
C₂₃×#2396	2
C₂₃×#2395	2
C₂₃×#2392	2
C₂₃×#2388	2
C₄×C₂₃×#124	2
C₄×C₂₃×#123	2
C₄×C₂₃×#121	2
C₄×C₂₃×#120	2
C₂₃×#2297	2
C₂₃×#2293	2
C₄²×D₄×C₂₃	2
C₂×C₄×C₂²⋊C₄×C₂₃	2
#34829	23

Subgroups — C23×#34829 #19182455

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#34829 #19182455