Subgroups — C₂₃×#35009 #19182635

Order 5888.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2861	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2662	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2661	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2558	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2557	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2543	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2519	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2464	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2461	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₂₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₃×#539	—	2	8	no	—
33	C₂₃×#538	—	2	8	no	—
34	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
41	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic
42	C₂×C₂₃×#124	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×#123	C₂²	1	1	yes	characteristic
47	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic
48	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
55	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
56	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
57	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
58	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
61	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic
62	C₂×C₂₃×#120	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
68	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
72	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
74	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
75	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
76	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#399	C₂²	1	1	yes	characteristic
78	C₂₃×#399	C₂²	1	1	yes	characteristic
79	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#397	C₂²	1	1	yes	characteristic
84	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#397	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#396	C₂²	1	1	yes	characteristic
88	C₂₃×#396	C₂²	1	1	yes	characteristic
89	C₂₃×#396	C₂²	1	1	yes	characteristic
90	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#395	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#394	C₂²	1	1	yes	characteristic
94	C₂₃×#394	C₂²	1	1	yes	characteristic
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, complemented
100	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#393	C₂²	1	1	yes	characteristic
102	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#392	C₂²	1	1	yes	characteristic
104	C₂₃×#392	C₂²	1	1	yes	characteristic
105	C₂₃×#392	C₂²	1	1	yes	characteristic
106	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#390	C₂²	1	1	yes	characteristic
111	C₂₃×#390	C₂²	1	1	yes	characteristic
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×#389	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#389	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#388	C₂²	1	1	yes	characteristic
126	C₂₃×#388	C₂²	1	1	yes	characteristic
127	C₂₃×#388	C₂²	1	1	yes	characteristic
128	C₂₃×#388	C₂²	1	1	yes	characteristic
129	C₂₃×#388	C₂²	1	1	yes	characteristic
130	C₂₃×#388	C₂²	1	1	yes	characteristic
131	C₂₃×#388	C₂²	1	1	yes	characteristic
132	C₂₃×#388	C₂²	1	1	yes	characteristic
133	C₂₃×#388	C₂²	1	1	yes	characteristic
134	C₂₃×#388	C₂²	1	1	yes	characteristic
135	C₂₃×#388	C₂²	1	1	yes	characteristic
136	C₂₃×#388	C₂²	1	1	yes	characteristic
137	C₂₃×#388	C₂²	1	1	yes	characteristic
138	C₂₃×#388	C₂²	1	1	yes	characteristic
139	C₂₃×#388	C₂²	1	1	yes	characteristic
140	C₂₃×#388	C₂²	1	1	yes	characteristic
141	C₂₃×#388	C₂²	1	1	yes	characteristic
142	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#386	C₂²	1	1	yes	characteristic
154	C₂₃×#386	C₂²	1	1	yes	characteristic
155	C₂₃×#386	C₂²	1	1	yes	characteristic
156	C₂₃×#386	C₂²	1	1	yes	characteristic
157	C₂₃×#386	C₂²	1	1	yes	characteristic
158	C₂₃×#386	C₂²	1	1	yes	characteristic
159	C₂₃×#386	C₂²	1	1	yes	characteristic
160	C₂₃×#386	C₂²	1	1	yes	characteristic
161	C₂₃×#386	C₂²	1	1	yes	characteristic
162	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#385	C₂²	1	1	yes	characteristic
166	C₂₃×#385	C₂²	1	1	yes	characteristic
167	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#381	C₂²	1	1	yes	characteristic
171	C₂₃×#380	C₂²	1	1	yes	characteristic
172	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#379	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
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	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
191	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
209	C₂³×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×#126	—	2	4	no	—
216	C₂₃×#126	—	2	4	no	—
217	C₂₃×#126	—	2	4	no	—
218	C₂₃×#126	—	2	4	no	—
219	C₂₃×#125	—	2	4	no	—
220	C₂₃×#125	—	2	4	no	—
221	C₂₃×#124	—	2	4	no	—
222	C₂₃×#124	—	2	4	no	—
223	C₂₃×#124	—	4	2	no	—
224	C₂₃×#123	—	2	4	no	—
225	C₂₃×#123	—	2	4	no	—
226	C₂₃×#123	—	2	4	no	—
227	C₂₃×#123	—	2	4	no	—
228	C₂₃×#123	—	2	4	no	—
229	C₂₃×#123	—	2	4	no	—
230	C₂₃×#123	—	2	4	no	—
231	C₂₃×C₂²⋊Q₈	—	2	4	no	—
232	C₂₃×C₂²⋊Q₈	—	2	4	no	—
233	C₂₃×C₂²⋊Q₈	—	2	4	no	—
234	C₂₃×C₂²⋊Q₈	—	2	4	no	—
235	C₂₃×#121	—	2	4	no	—
236	C₂₃×#121	—	2	4	no	—
237	C₂₃×#121	—	2	4	no	—
238	C₂₃×#121	—	2	4	no	—
239	C₂₃×#121	—	2	4	no	—
240	C₂₃×#121	—	4	2	no	—
241	C₂₃×#120	—	2	4	no	—
242	C₂₃×#120	—	2	4	no	—
243	C₂₃×#120	—	2	4	no	—
244	C₄×D₄×C₂₃	—	2	4	no	—
245	C₄×D₄×C₂₃	—	2	4	no	—
246	C₄×D₄×C₂₃	—	2	4	no	—
247	C₄×D₄×C₂₃	—	2	4	no	—
248	C₄×D₄×C₂₃	—	4	2	no	—
249	C₄×D₄×C₂₃	D₄	1	8	yes	complemented
250	C₂×C₄⋊C₄×C₂₃	—	2	4	no	—
251	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×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×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×C₂²⋊C₄×C₂₃	—	2	4	no	—
282	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
283	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
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×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×C₄²×C₂₃	—	4	2	no	—
337	C₂×C₄²×C₂₃	—	4	2	no	—
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	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	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	C₂₃×#95	C₂³	1	1	yes	characteristic
383	C₂₃×#95	C₂³	1	1	yes	characteristic
384	C₂₃×#95	C₂³	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
398	C₂×Q₈×C₂₃	—	2	2	no	—
399	C₂×Q₈×C₂₃	—	2	2	no	—
400	C₂×Q₈×C₂₃	—	4	1	no	—
401	C₂×Q₈×C₂₃	—	4	1	no	—
402	C₂×Q₈×C₂₃	—	4	1	no	—
403	C₂×Q₈×C₂₃	—	4	1	no	—
404	C₂×D₄×C₂₃	—	2	2	no	—
405	C₂×D₄×C₂₃	—	2	2	no	—
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	—	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	—	4	1	no	—
422	C₂×D₄×C₂₃	—	4	1	no	—
423	C₂×D₄×C₂₃	—	4	1	no	—
424	C₂×D₄×C₂₃	—	4	1	no	—
425	C₂×D₄×C₂₃	—	4	1	no	—
426	C₂×D₄×C₂₃	—	4	1	no	—
427	C₂×D₄×C₂₃	—	4	1	no	—
428	C₂×D₄×C₂₃	—	4	1	no	—
429	C₂×D₄×C₂₃	—	4	1	no	—
430	C₂×D₄×C₂₃	—	4	1	no	—
431	C₂×D₄×C₂₃	—	4	1	no	—
432	C₂×D₄×C₂₃	—	4	1	no	—
433	C₂×D₄×C₂₃	—	4	1	no	—
434	C₂×D₄×C₂₃	—	4	1	no	—
435	C₂×D₄×C₂₃	—	4	1	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	C₂×D₄	1	4	yes	—
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	—	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	—	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	C₂×D₄	1	4	yes	—
471	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
472	C₂²×C₄×C₂₃	#41	1	4	yes	—
473	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₂₃	—	2	2	no	—
499	C₄⋊C₄×C₂₃	—	2	2	no	—
500	C₄⋊C₄×C₂₃	—	2	2	no	—
501	C₄⋊C₄×C₂₃	—	2	2	no	—
502	C₄⋊C₄×C₂₃	—	2	2	no	—
503	C₄⋊C₄×C₂₃	—	2	2	no	—
504	C₄⋊C₄×C₂₃	—	2	2	no	—
505	C₄⋊C₄×C₂₃	—	2	2	no	—
506	C₄⋊C₄×C₂₃	—	2	2	no	—
507	C₄⋊C₄×C₂₃	—	2	2	no	—
508	C₄⋊C₄×C₂₃	—	2	2	no	—
509	C₄⋊C₄×C₂₃	—	2	2	no	—
510	C₄⋊C₄×C₂₃	—	2	2	no	—
511	C₄⋊C₄×C₂₃	—	2	2	no	—
512	C₄⋊C₄×C₂₃	—	2	2	no	—
513	C₄⋊C₄×C₂₃	—	2	2	no	—
514	C₄⋊C₄×C₂₃	—	2	2	no	—
515	C₄⋊C₄×C₂₃	—	2	2	no	—
516	C₄⋊C₄×C₂₃	—	2	2	no	—
517	C₄⋊C₄×C₂₃	—	2	2	no	—
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	—	4	1	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	C₂×D₄	1	4	yes	—
528	C₂²⋊C₄×C₂₃	—	2	2	no	—
529	C₂²⋊C₄×C₂₃	—	2	2	no	—
530	C₂²⋊C₄×C₂₃	—	2	2	no	—
531	C₂²⋊C₄×C₂₃	—	2	2	no	—
532	C₂²⋊C₄×C₂₃	—	2	2	no	—
533	C₂²⋊C₄×C₂₃	—	2	2	no	—
534	C₂²⋊C₄×C₂₃	—	2	2	no	—
535	C₂²⋊C₄×C₂₃	—	2	2	no	—
536	C₂²⋊C₄×C₂₃	—	2	2	no	—
537	C₂²⋊C₄×C₂₃	—	2	2	no	—
538	C₂²⋊C₄×C₂₃	—	2	2	no	—
539	C₂²⋊C₄×C₂₃	—	2	2	no	—
540	C₂²⋊C₄×C₂₃	—	2	2	no	—
541	C₂²⋊C₄×C₂₃	—	2	2	no	—
542	C₂²⋊C₄×C₂₃	—	2	2	no	—
543	C₂²⋊C₄×C₂₃	—	2	2	no	—
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	—	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	C₂×D₄	1	4	yes	—
578	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
579	C₂²⋊C₄×C₂₃	#41	1	4	yes	—
580	C₄²×C₂₃	—	2	2	no	—
581	C₄²×C₂₃	—	2	2	no	—
582	C₄²×C₂₃	—	2	2	no	—
583	C₄²×C₂₃	—	2	2	no	—
584	C₄²×C₂₃	—	2	2	no	—
585	C₄²×C₂₃	—	2	2	no	—
586	C₄²×C₂₃	—	2	2	no	—
587	C₄²×C₂₃	—	4	1	no	—
588	C₄²×C₂₃	—	4	1	no	—
589	C₄²×C₂₃	—	4	1	no	—
590	C₄²×C₂₃	—	4	1	no	—
591	C₄²×C₂₃	—	4	1	no	—
592	C₄²×C₂₃	—	4	1	no	—
593	C₄²×C₂₃	—	4	1	no	—
594	C₄²×C₂₃	C₂×D₄	1	4	yes	—
595	#35009	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
596	C₂³×C₂₃	—	2	1	no	—
597	C₂³×C₂₃	—	2	1	no	—
598	C₂³×C₂₃	—	2	1	no	—
599	C₂³×C₂₃	—	2	1	no	—
600	C₂³×C₂₃	—	2	1	no	—
601	C₂³×C₂₃	—	2	1	no	—
602	C₂³×C₂₃	—	2	1	no	—
603	C₂³×C₂₃	—	2	1	no	—
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	1	no	—
613	C₂³×C₂₃	—	2	1	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	—	4	4	no	—
635	C₂³×C₂₃	—	4	4	no	—
636	C₂³×C₂₃	—	4	4	no	—
637	C₂³×C₂₃	—	8	2	no	—
638	C₂³×C₂₃	—	8	2	no	—
639	C₂³×C₂₃	—	8	2	no	—
640	C₂³×C₂₃	—	8	2	no	—
641	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
642	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
643	C₂³×C₂₃	C₂×#41	1	2	yes	—
644	C₂³×C₂₃	C₂×#41	1	2	yes	—
645	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
646	Q₈×C₂₃	—	8	2	no	—
647	Q₈×C₂₃	—	8	2	no	—
648	D₄×C₂₃	—	2	8	no	—
649	D₄×C₂₃	—	4	4	no	—
650	D₄×C₂₃	—	4	4	no	—
651	D₄×C₂₃	—	4	4	no	—
652	D₄×C₂₃	—	8	2	no	—
653	D₄×C₂₃	—	8	2	no	—
654	D₄×C₂₃	—	8	2	no	—
655	D₄×C₂₃	—	8	2	no	—
656	D₄×C₂₃	—	8	2	no	—
657	D₄×C₂₃	—	8	2	no	—
658	D₄×C₂₃	—	8	2	no	—
659	D₄×C₂₃	—	8	2	no	—
660	C₂×C₄×C₂₃	—	2	1	no	—
661	C₂×C₄×C₂₃	—	2	1	no	—
662	C₂×C₄×C₂₃	—	2	1	no	—
663	C₂×C₄×C₂₃	—	2	1	no	—
664	C₂×C₄×C₂₃	—	2	1	no	—
665	C₂×C₄×C₂₃	—	2	1	no	—
666	C₂×C₄×C₂₃	—	2	1	no	—
667	C₂×C₄×C₂₃	—	2	1	no	—
668	C₂×C₄×C₂₃	—	2	1	no	—
669	C₂×C₄×C₂₃	—	2	1	no	—
670	C₂×C₄×C₂₃	—	2	1	no	—
671	C₂×C₄×C₂₃	—	2	1	no	—
672	C₂×C₄×C₂₃	—	2	1	no	—
673	C₂×C₄×C₂₃	—	2	1	no	—
674	C₂×C₄×C₂₃	—	2	1	no	—
675	C₂×C₄×C₂₃	—	2	1	no	—
676	C₂×C₄×C₂₃	—	2	1	no	—
677	C₂×C₄×C₂₃	—	2	1	no	—
678	C₂×C₄×C₂₃	—	2	1	no	—
679	C₂×C₄×C₂₃	—	2	1	no	—
680	C₂×C₄×C₂₃	—	2	1	no	—
681	C₂×C₄×C₂₃	—	2	1	no	—
682	C₂×C₄×C₂₃	—	2	1	no	—
683	C₂×C₄×C₂₃	—	2	1	no	—
684	C₂×C₄×C₂₃	—	2	1	no	—
685	C₂×C₄×C₂₃	—	2	1	no	—
686	C₂×C₄×C₂₃	—	2	1	no	—
687	C₂×C₄×C₂₃	—	2	1	no	—
688	C₂×C₄×C₂₃	—	2	1	no	—
689	C₂×C₄×C₂₃	—	2	1	no	—
690	C₂×C₄×C₂₃	—	2	1	no	—
691	C₂×C₄×C₂₃	—	2	1	no	—
692	C₂×C₄×C₂₃	—	2	1	no	—
693	C₂×C₄×C₂₃	—	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	—	4	4	no	—
726	C₂×C₄×C₂₃	—	4	4	no	—
727	C₂×C₄×C₂₃	—	4	4	no	—
728	C₂×C₄×C₂₃	—	4	4	no	—
729	C₂×C₄×C₂₃	—	4	4	no	—
730	C₂×C₄×C₂₃	—	4	4	no	—
731	C₂×C₄×C₂₃	—	4	4	no	—
732	C₂×C₄×C₂₃	—	8	2	no	—
733	C₂×C₄×C₂₃	—	8	2	no	—
734	C₂×C₄×C₂₃	—	8	2	no	—
735	C₂×C₄×C₂₃	—	8	2	no	—
736	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
737	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
738	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
739	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
740	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
741	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
742	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
743	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
744	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
745	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
746	C₂×#539	C₂×C₂₃	1	1	yes	characteristic, complemented
747	C₂×#538	C₂×C₂₃	1	1	yes	characteristic, complemented
748	#2861	C₂×C₂₃	1	1	yes	characteristic, complemented
749	#2860	C₂×C₂₃	1	1	yes	characteristic, complemented
750	#2854	C₂×C₂₃	1	1	yes	characteristic, complemented
751	#2850	C₂×C₂₃	1	1	yes	characteristic, complemented
752	#2664	C₂×C₂₃	1	1	yes	characteristic, complemented
753	#2663	C₂×C₂₃	1	1	yes	characteristic, complemented
754	#2662	C₂×C₂₃	1	1	yes	characteristic, complemented
755	#2661	C₂×C₂₃	1	1	yes	characteristic, complemented
756	#2560	C₂×C₂₃	1	1	yes	characteristic, complemented
757	#2559	C₂×C₂₃	1	1	yes	characteristic, complemented
758	#2558	C₂×C₂₃	1	1	yes	characteristic, complemented
759	#2557	C₂×C₂₃	1	1	yes	characteristic, complemented
760	#2549	C₂×C₂₃	1	1	yes	characteristic, complemented
761	#2543	C₂×C₂₃	1	1	yes	characteristic, complemented
762	#2539	C₂×C₂₃	1	1	yes	characteristic, complemented
763	#2534	C₂×C₂₃	1	1	yes	characteristic, complemented
764	#2521	C₂×C₂₃	1	1	yes	characteristic, complemented
765	#2519	C₂×C₂₃	1	1	yes	characteristic, complemented
766	#2488	C₂×C₂₃	1	1	yes	characteristic, complemented
767	#2472	C₂×C₂₃	1	1	yes	characteristic, complemented
768	#2464	C₂×C₂₃	1	1	yes	characteristic, complemented
769	#2461	C₂×C₂₃	1	1	yes	characteristic, complemented
770	#2425	C₂×C₂₃	1	1	yes	characteristic, complemented
771	#2424	C₂×C₂₃	1	1	yes	characteristic, complemented
772	#2322	C₂×C₂₃	1	1	yes	characteristic, complemented
773	#2321	C₂×C₂₃	1	1	yes	characteristic, complemented
774	C₄×#121	C₂×C₂₃	1	1	yes	characteristic, complemented
775	C₂×#388	C₂×C₂₃	1	1	yes	characteristic, complemented
776	C₄²×D₄	C₂×C₂₃	1	1	yes	characteristic, complemented
777	C₂²×C₂₃	—	2	2	no	—
778	C₂²×C₂₃	—	2	2	no	—
779	C₂²×C₂₃	—	2	2	no	—
780	C₂²×C₂₃	—	2	2	no	—
781	C₂²×C₂₃	—	2	2	no	—
782	C₂²×C₂₃	—	2	2	no	—
783	C₂²×C₂₃	—	2	2	no	—
784	C₂²×C₂₃	—	2	2	no	—
785	C₂²×C₂₃	—	2	2	no	—
786	C₂²×C₂₃	—	4	1	no	—
787	C₂²×C₂₃	—	4	1	no	—
788	C₂²×C₂₃	—	4	1	no	—
789	C₂²×C₂₃	—	4	1	no	—
790	C₂²×C₂₃	—	4	1	no	—
791	C₂²×C₂₃	—	4	1	no	—
792	C₂²×C₂₃	—	4	1	no	—
793	C₂²×C₂₃	—	4	1	no	—
794	C₂²×C₂₃	—	4	1	no	—
795	C₂²×C₂₃	—	4	1	no	—
796	C₂²×C₂₃	—	4	1	no	—
797	C₂²×C₂₃	—	4	1	no	—
798	C₂²×C₂₃	—	4	1	no	—
799	C₂²×C₂₃	—	4	1	no	—
800	C₂²×C₂₃	—	4	1	no	—
801	C₂²×C₂₃	—	4	1	no	—
802	C₂²×C₂₃	—	4	1	no	—
803	C₂²×C₂₃	—	4	1	no	—
804	C₂²×C₂₃	—	4	1	no	—
805	C₂²×C₂₃	—	4	1	no	—
806	C₂²×C₂₃	—	4	1	no	—
807	C₂²×C₂₃	—	4	1	no	—
808	C₂²×C₂₃	—	4	1	no	—
809	C₂²×C₂₃	—	4	1	no	—
810	C₂²×C₂₃	—	4	1	no	—
811	C₂²×C₂₃	—	4	1	no	—
812	C₂²×C₂₃	—	4	1	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	—	8	8	no	—
819	C₂²×C₂₃	#532	1	4	yes	—
820	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
821	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
822	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
823	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
824	C₂²×C₂₃	#585	1	1	yes	characteristic
825	C₂²×C₂₃	#585	1	1	yes	characteristic
826	C₂²×C₂₃	#585	1	1	yes	characteristic
827	C₄×C₂₃	—	2	2	no	—
828	C₄×C₂₃	—	2	2	no	—
829	C₄×C₂₃	—	2	2	no	—
830	C₄×C₂₃	—	2	2	no	—
831	C₄×C₂₃	—	2	2	no	—
832	C₄×C₂₃	—	2	2	no	—
833	C₄×C₂₃	—	2	2	no	—
834	C₄×C₂₃	—	2	2	no	—
835	C₄×C₂₃	—	2	2	no	—
836	C₄×C₂₃	—	2	2	no	—
837	C₄×C₂₃	—	4	1	no	—
838	C₄×C₂₃	—	4	1	no	—
839	C₄×C₂₃	—	4	1	no	—
840	C₄×C₂₃	—	4	1	no	—
841	C₄×C₂₃	—	4	1	no	—
842	C₄×C₂₃	—	4	1	no	—
843	C₄×C₂₃	—	4	1	no	—
844	C₄×C₂₃	—	4	1	no	—
845	C₄×C₂₃	—	4	1	no	—
846	C₄×C₂₃	—	4	1	no	—
847	C₄×C₂₃	—	4	1	no	—
848	C₄×C₂₃	—	4	1	no	—
849	C₄×C₂₃	—	4	1	no	—
850	C₄×C₂₃	—	4	1	no	—
851	C₄×C₂₃	—	4	1	no	—
852	#539	—	2	8	no	—
853	#538	—	2	8	no	—
854	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic
855	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic
856	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
857	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
858	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
859	C₂×#125	C₂²×C₂₃	1	1	yes	characteristic, complemented
860	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
861	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
862	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic
863	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
864	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
865	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
866	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
867	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic
868	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
869	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
870	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
871	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic
872	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
873	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
874	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
875	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
876	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
877	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
878	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
879	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
880	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
881	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
882	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
883	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
884	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
885	C₂×C₄×D₄	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, complemented
889	C₂²×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
890	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
891	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
892	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
893	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
894	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
895	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
896	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
897	#399	C₂²×C₂₃	1	1	yes	characteristic
898	#399	C₂²×C₂₃	1	1	yes	characteristic
899	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
900	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
901	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
902	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
903	#397	C₂²×C₂₃	1	1	yes	characteristic
904	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
905	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
906	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
907	#396	C₂²×C₂₃	1	1	yes	characteristic
908	#396	C₂²×C₂₃	1	1	yes	characteristic
909	#396	C₂²×C₂₃	1	1	yes	characteristic
910	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
911	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
912	#395	C₂²×C₂₃	1	1	yes	characteristic, complemented
913	#394	C₂²×C₂₃	1	1	yes	characteristic
914	#394	C₂²×C₂₃	1	1	yes	characteristic
915	#394	C₂²×C₂₃	1	1	yes	characteristic
916	#394	C₂²×C₂₃	1	1	yes	characteristic
917	#394	C₂²×C₂₃	1	1	yes	characteristic
918	#394	C₂²×C₂₃	1	1	yes	characteristic
919	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	#393	C₂²×C₂₃	1	1	yes	characteristic
922	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#392	C₂²×C₂₃	1	1	yes	characteristic
924	#392	C₂²×C₂₃	1	1	yes	characteristic
925	#392	C₂²×C₂₃	1	1	yes	characteristic
926	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
928	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
929	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
930	#390	C₂²×C₂₃	1	1	yes	characteristic
931	#390	C₂²×C₂₃	1	1	yes	characteristic
932	#390	C₂²×C₂₃	1	1	yes	characteristic
933	#390	C₂²×C₂₃	1	1	yes	characteristic
934	#390	C₂²×C₂₃	1	1	yes	characteristic
935	#390	C₂²×C₂₃	1	1	yes	characteristic
936	#390	C₂²×C₂₃	1	1	yes	characteristic
937	#390	C₂²×C₂₃	1	1	yes	characteristic
938	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
939	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
941	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#389	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#388	C₂²×C₂₃	1	1	yes	characteristic
946	#388	C₂²×C₂₃	1	1	yes	characteristic
947	#388	C₂²×C₂₃	1	1	yes	characteristic
948	#388	C₂²×C₂₃	1	1	yes	characteristic
949	#388	C₂²×C₂₃	1	1	yes	characteristic
950	#388	C₂²×C₂₃	1	1	yes	characteristic
951	#388	C₂²×C₂₃	1	1	yes	characteristic
952	#388	C₂²×C₂₃	1	1	yes	characteristic
953	#388	C₂²×C₂₃	1	1	yes	characteristic
954	#388	C₂²×C₂₃	1	1	yes	characteristic
955	#388	C₂²×C₂₃	1	1	yes	characteristic
956	#388	C₂²×C₂₃	1	1	yes	characteristic
957	#388	C₂²×C₂₃	1	1	yes	characteristic
958	#388	C₂²×C₂₃	1	1	yes	characteristic
959	#388	C₂²×C₂₃	1	1	yes	characteristic
960	#388	C₂²×C₂₃	1	1	yes	characteristic
961	#388	C₂²×C₂₃	1	1	yes	characteristic
962	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
966	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
967	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
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	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	#386	C₂²×C₂₃	1	1	yes	characteristic
974	#386	C₂²×C₂₃	1	1	yes	characteristic
975	#386	C₂²×C₂₃	1	1	yes	characteristic
976	#386	C₂²×C₂₃	1	1	yes	characteristic
977	#386	C₂²×C₂₃	1	1	yes	characteristic
978	#386	C₂²×C₂₃	1	1	yes	characteristic
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, complemented
983	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
984	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	#385	C₂²×C₂₃	1	1	yes	characteristic
986	#385	C₂²×C₂₃	1	1	yes	characteristic
987	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	#381	C₂²×C₂₃	1	1	yes	characteristic
991	#380	C₂²×C₂₃	1	1	yes	characteristic
992	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#379	C₂²×C₂₃	1	1	yes	characteristic
994	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	C₄×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
999	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1000	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
1001	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1007	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic
1008	C₄³	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	C₂×C₂₃	—	2	4	no	—
1010	C₂×C₂₃	—	4	2	no	—
1011	C₂×C₂₃	—	8	1	no	—
1012	C₂×C₂₃	—	8	1	no	—
1013	C₂×C₂₃	—	8	1	no	—
1014	C₂×C₂₃	—	8	1	no	—
1015	C₂×C₂₃	C₂×#532	1	1	yes	characteristic
1016	C₂×C₂₃	#3455	1	1	yes	characteristic
1017	C₂×C₂₃	#3459	1	1	yes	characteristic
1018	C₂×C₂₃	#3496	1	1	yes	characteristic
1019	C₂×C₂₃	#3500	1	1	yes	characteristic
1020	C₂×C₂₃	#3513	1	1	yes	characteristic
1021	C₂×C₂₃	#3521	1	1	yes	characteristic
1022	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1023	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1024	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1025	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1026	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1027	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1028	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1029	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1030	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1031	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1032	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1033	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1034	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1035	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1036	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1037	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1038	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1039	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1040	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1041	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1042	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1043	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1044	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1045	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1046	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1047	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1048	#126	—	2	4	no	—
1049	#126	—	2	4	no	—
1050	#126	—	2	4	no	—
1051	#126	—	2	4	no	—
1052	#125	—	2	4	no	—
1053	#125	—	2	4	no	—
1054	#124	—	2	4	no	—
1055	#124	—	2	4	no	—
1056	#124	—	4	2	no	—
1057	#123	—	2	4	no	—
1058	#123	—	2	4	no	—
1059	#123	—	2	4	no	—
1060	#123	—	2	4	no	—
1061	#123	—	2	4	no	—
1062	#123	—	2	4	no	—
1063	#123	—	2	4	no	—
1064	C₂²⋊Q₈	—	2	4	no	—
1065	C₂²⋊Q₈	—	2	4	no	—
1066	C₂²⋊Q₈	—	2	4	no	—
1067	C₂²⋊Q₈	—	2	4	no	—
1068	#121	—	2	4	no	—
1069	#121	—	2	4	no	—
1070	#121	—	2	4	no	—
1071	#121	—	2	4	no	—
1072	#121	—	2	4	no	—
1073	#121	—	4	2	no	—
1074	#120	—	2	4	no	—
1075	#120	—	2	4	no	—
1076	#120	—	2	4	no	—
1077	C₄×D₄	—	2	4	no	—
1078	C₄×D₄	—	2	4	no	—
1079	C₄×D₄	—	2	4	no	—
1080	C₄×D₄	—	2	4	no	—
1081	C₄×D₄	—	4	2	no	—
1082	C₄×D₄	D₄×C₂₃	1	8	yes	complemented
1083	C₂×C₄⋊C₄	—	2	4	no	—
1084	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1105	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
1115	C₂×C₂²⋊C₄	—	2	4	no	—
1116	C₂×C₂²⋊C₄	—	4	2	no	—
1117	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
1170	C₂×C₄²	—	4	2	no	—
1171	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1172	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1176	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1177	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1178	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1179	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1180	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1181	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1182	C₂×C₄²	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	#95	C₂³×C₂₃	1	1	yes	characteristic
1187	#95	C₂³×C₂₃	1	1	yes	characteristic
1188	#95	C₂³×C₂₃	1	1	yes	characteristic
1189	#95	C₂³×C₂₃	1	1	yes	characteristic
1190	#95	C₂³×C₂₃	1	1	yes	characteristic
1191	#95	C₂³×C₂₃	1	1	yes	characteristic
1192	#95	C₂³×C₂₃	1	1	yes	characteristic
1193	#95	C₂³×C₂₃	1	1	yes	characteristic
1194	#95	C₂³×C₂₃	1	1	yes	characteristic
1195	#95	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	C₂₃	#35009	1	1	yes	characteristic, direct product factor, Sylow
1219	C₂⁴	—	2	2	no	—
1220	C₂⁴	—	2	2	no	—
1221	C₂⁴	—	2	2	no	—
1222	C₂⁴	—	4	1	no	—
1223	C₂⁴	—	4	1	no	—
1224	C₂⁴	—	4	1	no	—
1225	C₂⁴	—	4	1	no	—
1226	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1227	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1228	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1229	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1230	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1231	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1232	C₂×Q₈	—	2	2	no	—
1233	C₂×Q₈	—	2	2	no	—
1234	C₂×Q₈	—	4	1	no	—
1235	C₂×Q₈	—	4	1	no	—
1236	C₂×Q₈	—	4	1	no	—
1237	C₂×Q₈	—	4	1	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	2	2	no	—
1240	C₂×D₄	—	2	2	no	—
1241	C₂×D₄	—	2	2	no	—
1242	C₂×D₄	—	2	2	no	—
1243	C₂×D₄	—	2	2	no	—
1244	C₂×D₄	—	2	2	no	—
1245	C₂×D₄	—	2	2	no	—
1246	C₂×D₄	—	2	2	no	—
1247	C₂×D₄	—	2	2	no	—
1248	C₂×D₄	—	2	2	no	—
1249	C₂×D₄	—	2	2	no	—
1250	C₂×D₄	—	2	2	no	—
1251	C₂×D₄	—	2	2	no	—
1252	C₂×D₄	—	2	2	no	—
1253	C₂×D₄	—	2	2	no	—
1254	C₂×D₄	—	2	2	no	—
1255	C₂×D₄	—	4	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	4	1	no	—
1259	C₂×D₄	—	4	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	1	no	—
1262	C₂×D₄	—	4	1	no	—
1263	C₂×D₄	—	4	1	no	—
1264	C₂×D₄	—	4	1	no	—
1265	C₂×D₄	—	4	1	no	—
1266	C₂×D₄	—	4	1	no	—
1267	C₂×D₄	—	4	1	no	—
1268	C₂×D₄	—	4	1	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	C₂×D₄×C₂₃	1	4	yes	—
1274	C₂²×C₄	—	2	2	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	2	no	—
1277	C₂²×C₄	—	2	2	no	—
1278	C₂²×C₄	—	2	2	no	—
1279	C₂²×C₄	—	2	2	no	—
1280	C₂²×C₄	—	2	2	no	—
1281	C₂²×C₄	—	2	2	no	—
1282	C₂²×C₄	—	2	2	no	—
1283	C₂²×C₄	—	2	2	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	4	1	no	—
1287	C₂²×C₄	—	4	1	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	1	no	—
1290	C₂²×C₄	—	4	1	no	—
1291	C₂²×C₄	—	4	1	no	—
1292	C₂²×C₄	—	4	1	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	—	4	1	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	1	no	—
1302	C₂²×C₄	—	4	1	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
1305	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
1306	C₂²×C₄	#41×C₂₃	1	4	yes	—
1307	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1308	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1310	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1332	C₄⋊C₄	—	2	2	no	—
1333	C₄⋊C₄	—	2	2	no	—
1334	C₄⋊C₄	—	2	2	no	—
1335	C₄⋊C₄	—	2	2	no	—
1336	C₄⋊C₄	—	2	2	no	—
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	2	2	no	—
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	2	2	no	—
1342	C₄⋊C₄	—	2	2	no	—
1343	C₄⋊C₄	—	2	2	no	—
1344	C₄⋊C₄	—	2	2	no	—
1345	C₄⋊C₄	—	2	2	no	—
1346	C₄⋊C₄	—	2	2	no	—
1347	C₄⋊C₄	—	2	2	no	—
1348	C₄⋊C₄	—	2	2	no	—
1349	C₄⋊C₄	—	2	2	no	—
1350	C₄⋊C₄	—	2	2	no	—
1351	C₄⋊C₄	—	2	2	no	—
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	2	no	—
1354	C₄⋊C₄	—	2	2	no	—
1355	C₄⋊C₄	—	4	1	no	—
1356	C₄⋊C₄	—	4	1	no	—
1357	C₄⋊C₄	—	4	1	no	—
1358	C₄⋊C₄	—	4	1	no	—
1359	C₄⋊C₄	—	4	1	no	—
1360	C₄⋊C₄	—	4	1	no	—
1361	C₄⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1362	C₂²⋊C₄	—	2	2	no	—
1363	C₂²⋊C₄	—	2	2	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	2	2	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	2	no	—
1368	C₂²⋊C₄	—	2	2	no	—
1369	C₂²⋊C₄	—	2	2	no	—
1370	C₂²⋊C₄	—	2	2	no	—
1371	C₂²⋊C₄	—	2	2	no	—
1372	C₂²⋊C₄	—	2	2	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	2	2	no	—
1385	C₂²⋊C₄	—	2	2	no	—
1386	C₂²⋊C₄	—	2	2	no	—
1387	C₂²⋊C₄	—	2	2	no	—
1388	C₂²⋊C₄	—	2	2	no	—
1389	C₂²⋊C₄	—	2	2	no	—
1390	C₂²⋊C₄	—	2	2	no	—
1391	C₂²⋊C₄	—	2	2	no	—
1392	C₂²⋊C₄	—	2	2	no	—
1393	C₂²⋊C₄	—	2	2	no	—
1394	C₂²⋊C₄	—	2	2	no	—
1395	C₂²⋊C₄	—	2	2	no	—
1396	C₂²⋊C₄	—	2	2	no	—
1397	C₂²⋊C₄	—	2	2	no	—
1398	C₂²⋊C₄	—	2	2	no	—
1399	C₂²⋊C₄	—	4	1	no	—
1400	C₂²⋊C₄	—	4	1	no	—
1401	C₂²⋊C₄	—	4	1	no	—
1402	C₂²⋊C₄	—	4	1	no	—
1403	C₂²⋊C₄	—	4	1	no	—
1404	C₂²⋊C₄	—	4	1	no	—
1405	C₂²⋊C₄	—	4	1	no	—
1406	C₂²⋊C₄	—	4	1	no	—
1407	C₂²⋊C₄	—	4	1	no	—
1408	C₂²⋊C₄	—	4	1	no	—
1409	C₂²⋊C₄	—	4	1	no	—
1410	C₂²⋊C₄	—	4	1	no	—
1411	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1412	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1413	C₂²⋊C₄	#41×C₂₃	1	4	yes	—
1414	C₄²	—	2	2	no	—
1415	C₄²	—	2	2	no	—
1416	C₄²	—	2	2	no	—
1417	C₄²	—	2	2	no	—
1418	C₄²	—	2	2	no	—
1419	C₄²	—	2	2	no	—
1420	C₄²	—	2	2	no	—
1421	C₄²	—	4	1	no	—
1422	C₄²	—	4	1	no	—
1423	C₄²	—	4	1	no	—
1424	C₄²	—	4	1	no	—
1425	C₄²	—	4	1	no	—
1426	C₄²	—	4	1	no	—
1427	C₄²	—	4	1	no	—
1428	C₄²	C₂×D₄×C₂₃	1	4	yes	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
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	—	4	4	no	—
1468	C₂³	—	4	4	no	—
1469	C₂³	—	4	4	no	—
1470	C₂³	—	8	2	no	—
1471	C₂³	—	8	2	no	—
1472	C₂³	—	8	2	no	—
1473	C₂³	—	8	2	no	—
1474	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1475	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1476	C₂³	C₂×#41×C₂₃	1	2	yes	—
1477	C₂³	C₂×#41×C₂₃	1	2	yes	—
1478	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1479	Q₈	—	8	2	no	—
1480	Q₈	—	8	2	no	—
1481	D₄	—	2	8	no	—
1482	D₄	—	4	4	no	—
1483	D₄	—	4	4	no	—
1484	D₄	—	4	4	no	—
1485	D₄	—	8	2	no	—
1486	D₄	—	8	2	no	—
1487	D₄	—	8	2	no	—
1488	D₄	—	8	2	no	—
1489	D₄	—	8	2	no	—
1490	D₄	—	8	2	no	—
1491	D₄	—	8	2	no	—
1492	D₄	—	8	2	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	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	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	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	—	4	4	no	—
1559	C₂×C₄	—	4	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	4	no	—
1563	C₂×C₄	—	4	4	no	—
1564	C₂×C₄	—	4	4	no	—
1565	C₂×C₄	—	8	2	no	—
1566	C₂×C₄	—	8	2	no	—
1567	C₂×C₄	—	8	2	no	—
1568	C₂×C₄	—	8	2	no	—
1569	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1570	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1571	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1572	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1573	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1574	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1575	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1576	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1577	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1578	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	8	8	no	—
1621	C₂²	C₂₃×#532	1	4	yes	—
1622	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1623	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1624	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1625	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1626	C₂²	C₂₃×#585	1	1	yes	characteristic
1627	C₂²	C₂₃×#585	1	1	yes	characteristic
1628	C₂²	C₂₃×#585	1	1	yes	characteristic
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	2	no	—
1636	C₄	—	2	2	no	—
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₂	—	2	4	no	—
1655	C₂	—	4	2	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	8	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	C₂×C₂₃×#532	1	1	yes	characteristic
1661	C₂	C₂₃×#3455	1	1	yes	characteristic
1662	C₂	C₂₃×#3459	1	1	yes	characteristic
1663	C₂	C₂₃×#3496	1	1	yes	characteristic
1664	C₂	C₂₃×#3500	1	1	yes	characteristic
1665	C₂	C₂₃×#3513	1	1	yes	characteristic
1666	C₂	C₂₃×#3521	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₃×#539	C₂	semidirect
2. C₂×C₂₃×#538	C₂	semidirect
3. C₂₃×#2861	C₂	semidirect
4. C₂₃×#2860	C₂	semidirect
5. C₂₃×#2854	C₂	semidirect
6. C₂₃×#2850	C₂	semidirect
7. C₂₃×#2664	C₂	semidirect
8. C₂₃×#2663	C₂	semidirect
9. C₂₃×#2662	C₂	semidirect
10. C₂₃×#2661	C₂	semidirect
11. C₂₃×#2560	C₂	semidirect
12. C₂₃×#2559	C₂	semidirect
13. C₂₃×#2558	C₂	semidirect
14. C₂₃×#2557	C₂	semidirect
15. C₂₃×#2549	C₂	semidirect
16. C₂₃×#2543	C₂	semidirect
17. C₂₃×#2539	C₂	semidirect
18. C₂₃×#2534	C₂	semidirect
19. C₂₃×#2521	C₂	semidirect
20. C₂₃×#2519	C₂	semidirect
21. C₂₃×#2488	C₂	semidirect
22. C₂₃×#2472	C₂	semidirect
23. C₂₃×#2464	C₂	semidirect
24. C₂₃×#2461	C₂	semidirect
25. C₂₃×#2425	C₂	semidirect
26. C₂₃×#2424	C₂	semidirect
27. C₂₃×#2322	C₂	semidirect
28. C₂₃×#2321	C₂	semidirect
29. C₄×C₂₃×#121	C₂	semidirect
30. C₂×C₂₃×#388	C₂	semidirect
31. C₄²×D₄×C₂₃	C₂	semidirect
36. C₂×C₂₃×#126	C₂²	semidirect
37. C₂×C₂₃×#126	C₂²	semidirect
38. C₂×C₂₃×#125	C₂²	semidirect
39. C₂×C₂₃×#125	C₂²	semidirect
48. C₂×C₂₃×#123	C₂²	semidirect
49. C₂×C₂₃×#123	C₂²	semidirect
52. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
68. C₂×C₄×D₄×C₂₃	C₂²	semidirect
74. C₂²×C₄²×C₂₃	C₂²	semidirect
75. C₂₃×#400	C₂²	semidirect
76. C₂₃×#400	C₂²	semidirect
79. C₂₃×#398	C₂²	semidirect
80. C₂₃×#398	C₂²	semidirect
81. C₂₃×#398	C₂²	semidirect
82. C₂₃×#398	C₂²	semidirect
84. C₂₃×#397	C₂²	semidirect
85. C₂₃×#397	C₂²	semidirect
86. C₂₃×#397	C₂²	semidirect
90. C₂₃×#396	C₂²	semidirect
91. C₂₃×#395	C₂²	semidirect
92. C₂₃×#395	C₂²	semidirect
99. C₂₃×#394	C₂²	semidirect
100. C₂₃×#394	C₂²	semidirect
102. C₂₃×#393	C₂²	semidirect
106. C₂₃×#392	C₂²	semidirect
107. C₂₃×#391	C₂²	semidirect
108. C₂₃×#391	C₂²	semidirect
109. 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
123. C₂₃×#389	C₂²	semidirect
124. C₂₃×#389	C₂²	semidirect
142. C₂₃×#388	C₂²	semidirect
143. C₂₃×#388	C₂²	semidirect
144. C₂₃×#388	C₂²	semidirect
145. C₂₃×#388	C₂²	semidirect
146. C₂₃×#388	C₂²	semidirect
147. C₂₃×#388	C₂²	semidirect
148. C₂₃×#388	C₂²	semidirect
149. C₂₃×#388	C₂²	semidirect
150. C₂₃×#388	C₂²	semidirect
151. C₂₃×#387	C₂²	semidirect
152. C₂₃×#387	C₂²	semidirect
162. C₂₃×#386	C₂²	semidirect
163. C₂₃×#386	C₂²	semidirect
164. C₂₃×#386	C₂²	semidirect
167. C₂₃×#385	C₂²	semidirect
168. C₂₃×#385	C₂²	semidirect
169. C₂₃×#382	C₂²	semidirect
172. C₂₃×#380	C₂²	semidirect
174. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
175. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
176. C₄×C₄⋊C₄×C₂₃	C₂²	semidirect
177. C₄×C₄⋊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
249. C₄×D₄×C₂₃	D₄	semidirect
595. #35009	C₂₃	direct (N × H)
746. C₂×#539	C₂×C₂₃	semidirect
747. C₂×#538	C₂×C₂₃	semidirect
748. #2861	C₂×C₂₃	semidirect
749. #2860	C₂×C₂₃	semidirect
750. #2854	C₂×C₂₃	semidirect
751. #2850	C₂×C₂₃	semidirect
752. #2664	C₂×C₂₃	semidirect
753. #2663	C₂×C₂₃	semidirect
754. #2662	C₂×C₂₃	semidirect
755. #2661	C₂×C₂₃	semidirect
756. #2560	C₂×C₂₃	semidirect
757. #2559	C₂×C₂₃	semidirect
758. #2558	C₂×C₂₃	semidirect
759. #2557	C₂×C₂₃	semidirect
760. #2549	C₂×C₂₃	semidirect
761. #2543	C₂×C₂₃	semidirect
762. #2539	C₂×C₂₃	semidirect
763. #2534	C₂×C₂₃	semidirect
764. #2521	C₂×C₂₃	semidirect
765. #2519	C₂×C₂₃	semidirect
766. #2488	C₂×C₂₃	semidirect
767. #2472	C₂×C₂₃	semidirect
768. #2464	C₂×C₂₃	semidirect
769. #2461	C₂×C₂₃	semidirect
770. #2425	C₂×C₂₃	semidirect
771. #2424	C₂×C₂₃	semidirect
772. #2322	C₂×C₂₃	semidirect
773. #2321	C₂×C₂₃	semidirect
774. C₄×#121	C₂×C₂₃	semidirect
775. C₂×#388	C₂×C₂₃	semidirect
776. C₄²×D₄	C₂×C₂₃	semidirect
856. C₂×#126	C₂²×C₂₃	semidirect
857. C₂×#126	C₂²×C₂₃	semidirect
858. C₂×#125	C₂²×C₂₃	semidirect
859. C₂×#125	C₂²×C₂₃	semidirect
868. C₂×#123	C₂²×C₂₃	semidirect
869. C₂×#123	C₂²×C₂₃	semidirect
872. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
873. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
888. C₂×C₄×D₄	C₂²×C₂₃	semidirect
894. C₂²×C₄²	C₂²×C₂₃	semidirect
895. #400	C₂²×C₂₃	semidirect
896. #400	C₂²×C₂₃	semidirect
899. #398	C₂²×C₂₃	semidirect
900. #398	C₂²×C₂₃	semidirect
901. #398	C₂²×C₂₃	semidirect
902. #398	C₂²×C₂₃	semidirect
904. #397	C₂²×C₂₃	semidirect
905. #397	C₂²×C₂₃	semidirect
906. #397	C₂²×C₂₃	semidirect
910. #396	C₂²×C₂₃	semidirect
911. #395	C₂²×C₂₃	semidirect
912. #395	C₂²×C₂₃	semidirect
919. #394	C₂²×C₂₃	semidirect
920. #394	C₂²×C₂₃	semidirect
922. #393	C₂²×C₂₃	semidirect
926. #392	C₂²×C₂₃	semidirect
927. #391	C₂²×C₂₃	semidirect
928. #391	C₂²×C₂₃	semidirect
929. #391	C₂²×C₂₃	semidirect
938. #390	C₂²×C₂₃	semidirect
939. #389	C₂²×C₂₃	semidirect
940. #389	C₂²×C₂₃	semidirect
941. #389	C₂²×C₂₃	semidirect
942. #389	C₂²×C₂₃	semidirect
943. #389	C₂²×C₂₃	semidirect
944. #389	C₂²×C₂₃	semidirect
962. #388	C₂²×C₂₃	semidirect
963. #388	C₂²×C₂₃	semidirect
964. #388	C₂²×C₂₃	semidirect
965. #388	C₂²×C₂₃	semidirect
966. #388	C₂²×C₂₃	semidirect
967. #388	C₂²×C₂₃	semidirect
968. #388	C₂²×C₂₃	semidirect
969. #388	C₂²×C₂₃	semidirect
970. #388	C₂²×C₂₃	semidirect
971. #387	C₂²×C₂₃	semidirect
972. #387	C₂²×C₂₃	semidirect
982. #386	C₂²×C₂₃	semidirect
983. #386	C₂²×C₂₃	semidirect
984. #386	C₂²×C₂₃	semidirect
987. #385	C₂²×C₂₃	semidirect
988. #385	C₂²×C₂₃	semidirect
989. #382	C₂²×C₂₃	semidirect
992. #380	C₂²×C₂₃	semidirect
994. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
995. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
996. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
997. C₄×C₄⋊C₄	C₂²×C₂₃	semidirect
1001. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1002. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1003. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1004. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1005. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1008. C₄³	C₂²×C₂₃	semidirect
1082. C₄×D₄	D₄×C₂₃	semidirect
1218. C₂₃	#35009	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₃×#539	2
C₂×C₂₃×#538	2
C₂₃×#2861	2
C₂₃×#2860	2
C₂₃×#2854	2
C₂₃×#2850	2
C₂₃×#2664	2
C₂₃×#2663	2
C₂₃×#2662	2
C₂₃×#2661	2
C₂₃×#2560	2
C₂₃×#2559	2
C₂₃×#2558	2
C₂₃×#2557	2
C₂₃×#2549	2
C₂₃×#2543	2
C₂₃×#2539	2
C₂₃×#2534	2
C₂₃×#2521	2
C₂₃×#2519	2
C₂₃×#2488	2
C₂₃×#2472	2
C₂₃×#2464	2
C₂₃×#2461	2
C₂₃×#2425	2
C₂₃×#2424	2
C₂₃×#2322	2
C₂₃×#2321	2
C₄×C₂₃×#121	2
C₂×C₂₃×#388	2
C₄²×D₄×C₂₃	2
#35009	23

Subgroups — C23×#35009 #19182635

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#35009 #19182635