Subgroups — C₂₃×#34990 #19182616

Order 5888.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₄×D₄×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2636	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2635	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2631	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2481	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2467	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2459	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2456	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2456	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2450	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2443	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2437	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2410	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2410	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2403	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄×C₂₃	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₂₃	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₂₃	C₂²	1	1	yes	characteristic
35	C₂⁴×C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
36	C₂₃×#538	—	2	8	no	—
37	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂₃×#126	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₂₃×#124	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₂₃×#123	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
47	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
48	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
49	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
50	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₂₃×#120	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×C₂₃×#120	C₂²	1	1	yes	characteristic
58	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₂₃×#120	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄×D₄×C₂₃	—	2	8	no	—
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, complemented
66	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
74	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
75	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
76	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
77	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
78	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#400	C₂²	1	1	yes	characteristic, complemented
81	C₂₃×#399	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#399	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#398	C₂²	1	1	yes	characteristic, complemented
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, complemented
88	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#396	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#394	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#393	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#392	C₂²	1	1	yes	characteristic
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×#392	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#392	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#391	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#390	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
118	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₂₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#386	C₂²	1	1	yes	characteristic
134	C₂₃×#386	C₂²	1	1	yes	characteristic
135	C₂₃×#386	C₂²	1	1	yes	characteristic
136	C₂₃×#386	C₂²	1	1	yes	characteristic
137	C₂₃×#386	C₂²	1	1	yes	characteristic
138	C₂₃×#386	C₂²	1	1	yes	characteristic
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, complemented
146	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
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×#386	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#386	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#385	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#383	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#382	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
176	C₂₃×#381	C₂²	1	1	yes	characteristic, complemented
177	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
178	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
179	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
180	C₂₃×#380	C₂²	1	1	yes	characteristic, complemented
181	C₂₃×#379	C₂²	1	1	yes	characteristic
182	C₂₃×#379	C₂²	1	1	yes	characteristic, complemented
183	C₂₃×#379	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	C₄×C₂²⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₂₃×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
190	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
191	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
192	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₂₃	—	2	4	no	—
194	C₂²×D₄×C₂₃	—	2	4	no	—
195	C₂²×D₄×C₂₃	—	2	4	no	—
196	C₂²×D₄×C₂₃	—	2	4	no	—
197	C₂²×D₄×C₂₃	—	4	2	no	—
198	C₂²×D₄×C₂₃	—	4	2	no	—
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	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
217	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₂₃	—	2	4	no	—
219	C₂³×C₄×C₂₃	—	2	4	no	—
220	C₂³×C₄×C₂₃	—	4	2	no	—
221	C₂³×C₄×C₂₃	—	4	2	no	—
222	C₂³×C₄×C₂₃	—	4	2	no	—
223	C₂³×C₄×C₂₃	—	4	2	no	—
224	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
235	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
241	C₂₃×#126	—	2	4	no	—
242	C₂₃×#126	—	2	4	no	—
243	C₂₃×#124	—	2	4	no	—
244	C₂₃×#124	—	2	4	no	—
245	C₂₃×#123	—	2	4	no	—
246	C₂₃×#123	—	2	4	no	—
247	C₂₃×#123	—	4	2	no	—
248	C₂₃×C₂²⋊Q₈	—	2	4	no	—
249	C₂₃×C₂²⋊Q₈	—	4	2	no	—
250	C₂₃×#121	—	2	4	no	—
251	C₂₃×#121	—	2	4	no	—
252	C₂₃×#121	—	2	4	no	—
253	C₂₃×#121	—	2	4	no	—
254	C₂₃×#121	—	4	2	no	—
255	C₂₃×#121	—	4	2	no	—
256	C₂₃×#121	—	4	2	no	—
257	C₂₃×#120	—	2	4	no	—
258	C₂₃×#120	—	2	4	no	—
259	C₂₃×#120	—	2	4	no	—
260	C₂₃×#120	—	2	4	no	—
261	C₂₃×#120	—	4	2	no	—
262	C₂₃×#120	—	4	2	no	—
263	C₂₃×#120	—	4	2	no	—
264	C₄×D₄×C₂₃	—	2	4	no	—
265	C₄×D₄×C₂₃	—	2	4	no	—
266	C₄×D₄×C₂₃	—	2	4	no	—
267	C₄×D₄×C₂₃	—	2	4	no	—
268	C₄×D₄×C₂₃	—	2	4	no	—
269	C₄×D₄×C₂₃	—	2	4	no	—
270	C₄×D₄×C₂₃	—	2	4	no	—
271	C₄×D₄×C₂₃	—	2	4	no	—
272	C₄×D₄×C₂₃	—	4	2	no	—
273	C₄×D₄×C₂₃	—	4	2	no	—
274	C₄×D₄×C₂₃	D₄	1	8	yes	complemented
275	C₂×C₄⋊C₄×C₂₃	—	2	4	no	—
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×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
297	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
298	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
299	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
300	C₂×C₂²⋊C₄×C₂₃	—	4	2	no	—
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×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₂₃	—	2	4	no	—
358	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₂₃	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	C₂₃×#95	C₂³	1	1	yes	characteristic
392	C₂₃×#95	C₂³	1	1	yes	characteristic
393	C₂₃×#95	C₂³	1	1	yes	characteristic
394	C₂₃×#95	C₂³	1	1	yes	characteristic
395	C₂₃×#95	C₂³	1	1	yes	characteristic
396	C₂₃×#95	C₂³	1	1	yes	characteristic
397	C₂⁴×C₂₃	—	2	2	no	—
398	C₂⁴×C₂₃	—	2	2	no	—
399	C₂⁴×C₂₃	—	2	2	no	—
400	C₂⁴×C₂₃	—	2	2	no	—
401	C₂⁴×C₂₃	—	2	2	no	—
402	C₂⁴×C₂₃	—	2	2	no	—
403	C₂⁴×C₂₃	—	2	2	no	—
404	C₂⁴×C₂₃	—	2	2	no	—
405	C₂⁴×C₂₃	—	2	2	no	—
406	C₂⁴×C₂₃	—	2	2	no	—
407	C₂⁴×C₂₃	—	2	2	no	—
408	C₂⁴×C₂₃	—	2	2	no	—
409	C₂⁴×C₂₃	—	4	1	no	—
410	C₂⁴×C₂₃	—	4	1	no	—
411	C₂⁴×C₂₃	—	4	1	no	—
412	C₂⁴×C₂₃	—	4	1	no	—
413	C₂⁴×C₂₃	—	4	1	no	—
414	C₂⁴×C₂₃	—	4	1	no	—
415	C₂⁴×C₂₃	—	4	1	no	—
416	C₂⁴×C₂₃	—	4	1	no	—
417	C₂⁴×C₂₃	#41	1	4	yes	—
418	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
419	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
420	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
421	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
422	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
423	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
424	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
425	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
426	C₂×Q₈×C₂₃	—	2	2	no	—
427	C₂×Q₈×C₂₃	—	4	1	no	—
428	C₂×Q₈×C₂₃	—	4	1	no	—
429	C₂×D₄×C₂₃	—	2	32	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	—	2	2	no	—
437	C₂×D₄×C₂₃	—	2	2	no	—
438	C₂×D₄×C₂₃	—	2	2	no	—
439	C₂×D₄×C₂₃	—	2	2	no	—
440	C₂×D₄×C₂₃	—	2	2	no	—
441	C₂×D₄×C₂₃	—	2	2	no	—
442	C₂×D₄×C₂₃	—	2	2	no	—
443	C₂×D₄×C₂₃	—	2	2	no	—
444	C₂×D₄×C₂₃	—	2	2	no	—
445	C₂×D₄×C₂₃	—	2	2	no	—
446	C₂×D₄×C₂₃	—	2	2	no	—
447	C₂×D₄×C₂₃	—	2	2	no	—
448	C₂×D₄×C₂₃	—	2	2	no	—
449	C₂×D₄×C₂₃	—	2	2	no	—
450	C₂×D₄×C₂₃	—	2	2	no	—
451	C₂×D₄×C₂₃	—	2	2	no	—
452	C₂×D₄×C₂₃	—	2	2	no	—
453	C₂×D₄×C₂₃	—	2	2	no	—
454	C₂×D₄×C₂₃	—	2	2	no	—
455	C₂×D₄×C₂₃	—	2	2	no	—
456	C₂×D₄×C₂₃	—	2	2	no	—
457	C₂×D₄×C₂₃	—	2	2	no	—
458	C₂×D₄×C₂₃	—	2	2	no	—
459	C₂×D₄×C₂₃	—	2	2	no	—
460	C₂×D₄×C₂₃	—	2	2	no	—
461	C₂×D₄×C₂₃	—	2	2	no	—
462	C₂×D₄×C₂₃	—	2	2	no	—
463	C₂×D₄×C₂₃	—	4	1	no	—
464	C₂×D₄×C₂₃	—	4	1	no	—
465	C₂×D₄×C₂₃	—	4	1	no	—
466	C₂×D₄×C₂₃	—	4	1	no	—
467	C₂×D₄×C₂₃	—	4	1	no	—
468	C₂×D₄×C₂₃	—	4	1	no	—
469	C₂×D₄×C₂₃	—	4	1	no	—
470	C₂×D₄×C₂₃	—	4	1	no	—
471	C₂×D₄×C₂₃	—	4	1	no	—
472	C₂×D₄×C₂₃	—	4	1	no	—
473	C₂×D₄×C₂₃	—	4	1	no	—
474	C₂×D₄×C₂₃	—	4	1	no	—
475	C₂×D₄×C₂₃	—	4	1	no	—
476	C₂×D₄×C₂₃	—	4	1	no	—
477	C₂×D₄×C₂₃	—	4	1	no	—
478	C₂×D₄×C₂₃	—	4	1	no	—
479	C₂×D₄×C₂₃	—	4	1	no	—
480	C₂×D₄×C₂₃	—	4	1	no	—
481	C₂×D₄×C₂₃	—	4	1	no	—
482	C₂×D₄×C₂₃	—	4	1	no	—
483	C₂×D₄×C₂₃	—	4	1	no	—
484	C₂×D₄×C₂₃	—	4	1	no	—
485	C₂×D₄×C₂₃	—	4	16	no	—
486	C₂×D₄×C₂₃	C₂×D₄	1	4	yes	—
487	C₂×D₄×C₂₃	#41	1	4	yes	—
488	C₂²×C₄×C₂₃	—	2	2	no	—
489	C₂²×C₄×C₂₃	—	2	2	no	—
490	C₂²×C₄×C₂₃	—	2	2	no	—
491	C₂²×C₄×C₂₃	—	2	2	no	—
492	C₂²×C₄×C₂₃	—	2	2	no	—
493	C₂²×C₄×C₂₃	—	2	2	no	—
494	C₂²×C₄×C₂₃	—	2	2	no	—
495	C₂²×C₄×C₂₃	—	2	2	no	—
496	C₂²×C₄×C₂₃	—	2	2	no	—
497	C₂²×C₄×C₂₃	—	2	2	no	—
498	C₂²×C₄×C₂₃	—	2	2	no	—
499	C₂²×C₄×C₂₃	—	2	2	no	—
500	C₂²×C₄×C₂₃	—	2	2	no	—
501	C₂²×C₄×C₂₃	—	2	2	no	—
502	C₂²×C₄×C₂₃	—	2	2	no	—
503	C₂²×C₄×C₂₃	—	2	2	no	—
504	C₂²×C₄×C₂₃	—	2	2	no	—
505	C₂²×C₄×C₂₃	—	2	2	no	—
506	C₂²×C₄×C₂₃	—	2	2	no	—
507	C₂²×C₄×C₂₃	—	2	2	no	—
508	C₂²×C₄×C₂₃	—	2	2	no	—
509	C₂²×C₄×C₂₃	—	2	2	no	—
510	C₂²×C₄×C₂₃	—	2	2	no	—
511	C₂²×C₄×C₂₃	—	2	2	no	—
512	C₂²×C₄×C₂₃	—	2	2	no	—
513	C₂²×C₄×C₂₃	—	2	2	no	—
514	C₂²×C₄×C₂₃	—	4	1	no	—
515	C₂²×C₄×C₂₃	—	4	1	no	—
516	C₂²×C₄×C₂₃	—	4	1	no	—
517	C₂²×C₄×C₂₃	—	4	1	no	—
518	C₂²×C₄×C₂₃	—	4	1	no	—
519	C₂²×C₄×C₂₃	—	4	1	no	—
520	C₂²×C₄×C₂₃	—	4	1	no	—
521	C₂²×C₄×C₂₃	—	4	1	no	—
522	C₂²×C₄×C₂₃	—	4	1	no	—
523	C₂²×C₄×C₂₃	—	4	1	no	—
524	C₂²×C₄×C₂₃	—	4	1	no	—
525	C₂²×C₄×C₂₃	—	4	1	no	—
526	C₂²×C₄×C₂₃	—	4	1	no	—
527	C₂²×C₄×C₂₃	—	4	1	no	—
528	C₂²×C₄×C₂₃	—	4	1	no	—
529	C₂²×C₄×C₂₃	—	4	1	no	—
530	C₂²×C₄×C₂₃	—	4	1	no	—
531	C₂²×C₄×C₂₃	—	4	1	no	—
532	C₂²×C₄×C₂₃	—	4	1	no	—
533	C₂²×C₄×C₂₃	—	4	1	no	—
534	C₂²×C₄×C₂₃	—	4	1	no	—
535	C₂²×C₄×C₂₃	—	4	1	no	—
536	C₂²×C₄×C₂₃	—	4	1	no	—
537	C₂²×C₄×C₂₃	—	4	16	no	—
538	C₂²×C₄×C₂₃	—	4	16	no	—
539	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	—
540	C₂²×C₄×C₂₃	C₂×D₄	1	4	yes	complemented
541	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄×C₂₃	—	2	2	no	—
565	C₄⋊C₄×C₂₃	—	2	2	no	—
566	C₄⋊C₄×C₂₃	—	2	2	no	—
567	C₄⋊C₄×C₂₃	—	2	2	no	—
568	C₄⋊C₄×C₂₃	—	2	2	no	—
569	C₄⋊C₄×C₂₃	—	2	2	no	—
570	C₄⋊C₄×C₂₃	—	2	2	no	—
571	C₄⋊C₄×C₂₃	—	2	2	no	—
572	C₄⋊C₄×C₂₃	—	2	2	no	—
573	C₄⋊C₄×C₂₃	—	2	2	no	—
574	C₄⋊C₄×C₂₃	—	4	1	no	—
575	C₄⋊C₄×C₂₃	—	4	1	no	—
576	C₄⋊C₄×C₂₃	—	4	1	no	—
577	C₄⋊C₄×C₂₃	—	4	1	no	—
578	C₄⋊C₄×C₂₃	—	4	1	no	—
579	C₄⋊C₄×C₂₃	—	4	1	no	—
580	C₄⋊C₄×C₂₃	—	4	1	no	—
581	C₄⋊C₄×C₂₃	—	4	1	no	—
582	C₄⋊C₄×C₂₃	—	4	1	no	—
583	C₄⋊C₄×C₂₃	C₂×D₄	1	4	yes	complemented
584	C₂²⋊C₄×C₂₃	—	2	2	no	—
585	C₂²⋊C₄×C₂₃	—	2	2	no	—
586	C₂²⋊C₄×C₂₃	—	2	2	no	—
587	C₂²⋊C₄×C₂₃	—	2	2	no	—
588	C₂²⋊C₄×C₂₃	—	2	2	no	—
589	C₂²⋊C₄×C₂₃	—	2	2	no	—
590	C₂²⋊C₄×C₂₃	—	2	2	no	—
591	C₂²⋊C₄×C₂₃	—	2	2	no	—
592	C₂²⋊C₄×C₂₃	—	2	2	no	—
593	C₂²⋊C₄×C₂₃	—	2	2	no	—
594	C₂²⋊C₄×C₂₃	—	2	2	no	—
595	C₂²⋊C₄×C₂₃	—	2	2	no	—
596	C₂²⋊C₄×C₂₃	—	2	2	no	—
597	C₂²⋊C₄×C₂₃	—	2	2	no	—
598	C₂²⋊C₄×C₂₃	—	2	2	no	—
599	C₂²⋊C₄×C₂₃	—	2	2	no	—
600	C₂²⋊C₄×C₂₃	—	2	2	no	—
601	C₂²⋊C₄×C₂₃	—	2	2	no	—
602	C₂²⋊C₄×C₂₃	—	2	2	no	—
603	C₂²⋊C₄×C₂₃	—	2	2	no	—
604	C₂²⋊C₄×C₂₃	—	2	2	no	—
605	C₂²⋊C₄×C₂₃	—	2	2	no	—
606	C₂²⋊C₄×C₂₃	—	2	2	no	—
607	C₂²⋊C₄×C₂₃	—	2	2	no	—
608	C₂²⋊C₄×C₂₃	—	2	2	no	—
609	C₂²⋊C₄×C₂₃	—	2	2	no	—
610	C₂²⋊C₄×C₂₃	—	2	2	no	—
611	C₂²⋊C₄×C₂₃	—	2	2	no	—
612	C₂²⋊C₄×C₂₃	—	2	2	no	—
613	C₂²⋊C₄×C₂₃	—	2	2	no	—
614	C₂²⋊C₄×C₂₃	—	2	2	no	—
615	C₂²⋊C₄×C₂₃	—	2	2	no	—
616	C₂²⋊C₄×C₂₃	—	2	2	no	—
617	C₂²⋊C₄×C₂₃	—	4	1	no	—
618	C₂²⋊C₄×C₂₃	—	4	1	no	—
619	C₂²⋊C₄×C₂₃	—	4	1	no	—
620	C₂²⋊C₄×C₂₃	—	4	1	no	—
621	C₂²⋊C₄×C₂₃	—	4	1	no	—
622	C₂²⋊C₄×C₂₃	—	4	1	no	—
623	C₂²⋊C₄×C₂₃	—	4	1	no	—
624	C₂²⋊C₄×C₂₃	—	4	1	no	—
625	C₂²⋊C₄×C₂₃	—	4	1	no	—
626	C₂²⋊C₄×C₂₃	—	4	1	no	—
627	C₂²⋊C₄×C₂₃	—	4	1	no	—
628	C₂²⋊C₄×C₂₃	—	4	1	no	—
629	C₂²⋊C₄×C₂₃	—	4	1	no	—
630	C₂²⋊C₄×C₂₃	—	4	1	no	—
631	C₂²⋊C₄×C₂₃	—	4	1	no	—
632	C₂²⋊C₄×C₂₃	—	4	1	no	—
633	C₂²⋊C₄×C₂₃	—	4	1	no	—
634	C₂²⋊C₄×C₂₃	—	4	1	no	—
635	C₂²⋊C₄×C₂₃	—	4	1	no	—
636	C₂²⋊C₄×C₂₃	—	4	1	no	—
637	C₂²⋊C₄×C₂₃	—	4	1	no	—
638	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	—
639	C₂²⋊C₄×C₂₃	C₂×D₄	1	4	yes	complemented
640	C₄²×C₂₃	—	2	2	no	—
641	C₄²×C₂₃	—	2	2	no	—
642	C₄²×C₂₃	—	2	2	no	—
643	C₄²×C₂₃	—	2	2	no	—
644	C₄²×C₂₃	—	4	1	no	—
645	C₄²×C₂₃	—	4	1	no	—
646	C₄²×C₂₃	C₂×D₄	1	4	yes	complemented
647	#34990	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
648	C₂³×C₂₃	—	2	1	no	—
649	C₂³×C₂₃	—	2	1	no	—
650	C₂³×C₂₃	—	2	1	no	—
651	C₂³×C₂₃	—	2	1	no	—
652	C₂³×C₂₃	—	2	1	no	—
653	C₂³×C₂₃	—	2	1	no	—
654	C₂³×C₂₃	—	2	1	no	—
655	C₂³×C₂₃	—	2	1	no	—
656	C₂³×C₂₃	—	2	8	no	—
657	C₂³×C₂₃	—	2	8	no	—
658	C₂³×C₂₃	—	2	8	no	—
659	C₂³×C₂₃	—	2	1	no	—
660	C₂³×C₂₃	—	2	1	no	—
661	C₂³×C₂₃	—	2	1	no	—
662	C₂³×C₂₃	—	2	1	no	—
663	C₂³×C₂₃	—	2	1	no	—
664	C₂³×C₂₃	—	2	1	no	—
665	C₂³×C₂₃	—	2	1	no	—
666	C₂³×C₂₃	—	2	1	no	—
667	C₂³×C₂₃	—	2	1	no	—
668	C₂³×C₂₃	—	2	1	no	—
669	C₂³×C₂₃	—	2	1	no	—
670	C₂³×C₂₃	—	2	1	no	—
671	C₂³×C₂₃	—	2	1	no	—
672	C₂³×C₂₃	—	2	1	no	—
673	C₂³×C₂₃	—	2	1	no	—
674	C₂³×C₂₃	—	2	1	no	—
675	C₂³×C₂₃	—	2	1	no	—
676	C₂³×C₂₃	—	2	1	no	—
677	C₂³×C₂₃	—	2	1	no	—
678	C₂³×C₂₃	—	2	1	no	—
679	C₂³×C₂₃	—	2	1	no	—
680	C₂³×C₂₃	—	2	1	no	—
681	C₂³×C₂₃	—	2	1	no	—
682	C₂³×C₂₃	—	2	1	no	—
683	C₂³×C₂₃	—	2	1	no	—
684	C₂³×C₂₃	—	2	1	no	—
685	C₂³×C₂₃	—	2	1	no	—
686	C₂³×C₂₃	—	2	1	no	—
687	C₂³×C₂₃	—	2	1	no	—
688	C₂³×C₂₃	—	2	1	no	—
689	C₂³×C₂₃	—	2	1	no	—
690	C₂³×C₂₃	—	2	1	no	—
691	C₂³×C₂₃	—	2	1	no	—
692	C₂³×C₂₃	—	2	1	no	—
693	C₂³×C₂₃	—	2	1	no	—
694	C₂³×C₂₃	—	2	1	no	—
695	C₂³×C₂₃	—	2	1	no	—
696	C₂³×C₂₃	—	2	1	no	—
697	C₂³×C₂₃	—	2	1	no	—
698	C₂³×C₂₃	—	4	4	no	—
699	C₂³×C₂₃	—	4	4	no	—
700	C₂³×C₂₃	—	4	4	no	—
701	C₂³×C₂₃	—	4	4	no	—
702	C₂³×C₂₃	—	4	4	no	—
703	C₂³×C₂₃	—	4	4	no	—
704	C₂³×C₂₃	—	4	4	no	—
705	C₂³×C₂₃	—	4	4	no	—
706	C₂³×C₂₃	—	4	4	no	—
707	C₂³×C₂₃	—	4	4	no	—
708	C₂³×C₂₃	—	4	4	no	—
709	C₂³×C₂₃	—	4	4	no	—
710	C₂³×C₂₃	—	4	4	no	—
711	C₂³×C₂₃	—	4	4	no	—
712	C₂³×C₂₃	—	8	2	no	—
713	C₂³×C₂₃	—	8	2	no	—
714	C₂³×C₂₃	—	8	2	no	—
715	C₂³×C₂₃	—	8	2	no	—
716	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
717	C₂³×C₂₃	C₂²×D₄	1	2	yes	—
718	C₂³×C₂₃	C₂×#41	1	2	yes	—
719	C₂³×C₂₃	C₂×#41	1	2	yes	—
720	C₂³×C₂₃	C₂×#41	1	2	yes	—
721	C₂³×C₂₃	C₂×#41	1	2	yes	—
722	C₂³×C₂₃	C₂×#41	1	2	yes	—
723	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
724	C₂³×C₂₃	H(5,𝔽₂)	1	2	yes	—
725	C₂³×C₂₃	C₂⁵	1	1	yes	characteristic
726	Q₈×C₂₃	—	8	2	no	—
727	D₄×C₂₃	—	2	8	no	—
728	D₄×C₂₃	—	2	8	no	—
729	D₄×C₂₃	—	2	8	no	—
730	D₄×C₂₃	—	2	8	no	—
731	D₄×C₂₃	—	4	4	no	—
732	D₄×C₂₃	—	4	4	no	—
733	D₄×C₂₃	—	4	4	no	—
734	D₄×C₂₃	—	4	4	no	—
735	D₄×C₂₃	—	4	4	no	—
736	D₄×C₂₃	—	4	4	no	—
737	D₄×C₂₃	—	4	4	no	—
738	D₄×C₂₃	—	8	2	no	—
739	D₄×C₂₃	—	8	2	no	—
740	D₄×C₂₃	—	8	2	no	—
741	D₄×C₂₃	—	8	2	no	—
742	D₄×C₂₃	—	8	2	no	—
743	D₄×C₂₃	—	8	2	no	—
744	D₄×C₂₃	—	8	2	no	—
745	D₄×C₂₃	—	8	2	no	—
746	C₂×C₄×C₂₃	—	2	8	no	—
747	C₂×C₄×C₂₃	—	2	8	no	—
748	C₂×C₄×C₂₃	—	2	1	no	—
749	C₂×C₄×C₂₃	—	2	1	no	—
750	C₂×C₄×C₂₃	—	2	1	no	—
751	C₂×C₄×C₂₃	—	2	1	no	—
752	C₂×C₄×C₂₃	—	2	1	no	—
753	C₂×C₄×C₂₃	—	2	1	no	—
754	C₂×C₄×C₂₃	—	2	1	no	—
755	C₂×C₄×C₂₃	—	2	1	no	—
756	C₂×C₄×C₂₃	—	2	1	no	—
757	C₂×C₄×C₂₃	—	2	1	no	—
758	C₂×C₄×C₂₃	—	2	1	no	—
759	C₂×C₄×C₂₃	—	2	1	no	—
760	C₂×C₄×C₂₃	—	2	1	no	—
761	C₂×C₄×C₂₃	—	2	1	no	—
762	C₂×C₄×C₂₃	—	2	1	no	—
763	C₂×C₄×C₂₃	—	2	1	no	—
764	C₂×C₄×C₂₃	—	2	1	no	—
765	C₂×C₄×C₂₃	—	2	1	no	—
766	C₂×C₄×C₂₃	—	2	1	no	—
767	C₂×C₄×C₂₃	—	2	1	no	—
768	C₂×C₄×C₂₃	—	2	1	no	—
769	C₂×C₄×C₂₃	—	2	1	no	—
770	C₂×C₄×C₂₃	—	2	1	no	—
771	C₂×C₄×C₂₃	—	2	1	no	—
772	C₂×C₄×C₂₃	—	2	1	no	—
773	C₂×C₄×C₂₃	—	2	1	no	—
774	C₂×C₄×C₂₃	—	2	1	no	—
775	C₂×C₄×C₂₃	—	2	1	no	—
776	C₂×C₄×C₂₃	—	2	1	no	—
777	C₂×C₄×C₂₃	—	2	1	no	—
778	C₂×C₄×C₂₃	—	2	1	no	—
779	C₂×C₄×C₂₃	—	2	1	no	—
780	C₂×C₄×C₂₃	—	2	1	no	—
781	C₂×C₄×C₂₃	—	2	1	no	—
782	C₂×C₄×C₂₃	—	2	1	no	—
783	C₂×C₄×C₂₃	—	2	1	no	—
784	C₂×C₄×C₂₃	—	2	1	no	—
785	C₂×C₄×C₂₃	—	2	1	no	—
786	C₂×C₄×C₂₃	—	2	1	no	—
787	C₂×C₄×C₂₃	—	2	1	no	—
788	C₂×C₄×C₂₃	—	2	1	no	—
789	C₂×C₄×C₂₃	—	2	1	no	—
790	C₂×C₄×C₂₃	—	2	1	no	—
791	C₂×C₄×C₂₃	—	2	1	no	—
792	C₂×C₄×C₂₃	—	2	1	no	—
793	C₂×C₄×C₂₃	—	2	1	no	—
794	C₂×C₄×C₂₃	—	2	1	no	—
795	C₂×C₄×C₂₃	—	2	1	no	—
796	C₂×C₄×C₂₃	—	2	1	no	—
797	C₂×C₄×C₂₃	—	2	1	no	—
798	C₂×C₄×C₂₃	—	2	1	no	—
799	C₂×C₄×C₂₃	—	2	1	no	—
800	C₂×C₄×C₂₃	—	2	1	no	—
801	C₂×C₄×C₂₃	—	2	1	no	—
802	C₂×C₄×C₂₃	—	2	1	no	—
803	C₂×C₄×C₂₃	—	2	1	no	—
804	C₂×C₄×C₂₃	—	2	1	no	—
805	C₂×C₄×C₂₃	—	2	1	no	—
806	C₂×C₄×C₂₃	—	2	1	no	—
807	C₂×C₄×C₂₃	—	2	1	no	—
808	C₂×C₄×C₂₃	—	2	1	no	—
809	C₂×C₄×C₂₃	—	2	1	no	—
810	C₂×C₄×C₂₃	—	4	4	no	—
811	C₂×C₄×C₂₃	—	4	4	no	—
812	C₂×C₄×C₂₃	—	4	4	no	—
813	C₂×C₄×C₂₃	—	4	4	no	—
814	C₂×C₄×C₂₃	—	4	4	no	—
815	C₂×C₄×C₂₃	—	4	4	no	—
816	C₂×C₄×C₂₃	—	4	4	no	—
817	C₂×C₄×C₂₃	—	4	4	no	—
818	C₂×C₄×C₂₃	—	4	4	no	—
819	C₂×C₄×C₂₃	—	4	4	no	—
820	C₂×C₄×C₂₃	—	4	4	no	—
821	C₂×C₄×C₂₃	—	4	4	no	—
822	C₂×C₄×C₂₃	—	8	2	no	—
823	C₂×C₄×C₂₃	—	8	2	no	—
824	C₂×C₄×C₂₃	—	8	2	no	—
825	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
826	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
827	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
828	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
829	C₂×C₄×C₂₃	C₂²×D₄	1	2	yes	—
830	C₂×C₄×C₂₃	C₂×#41	1	2	yes	—
831	C₂×C₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
832	C₂×#538	C₂×C₂₃	1	1	yes	characteristic, complemented
833	C₂²×C₄×D₄	C₂×C₂₃	1	1	yes	characteristic, complemented
834	#2852	C₂×C₂₃	1	1	yes	characteristic, complemented
835	#2850	C₂×C₂₃	1	1	yes	characteristic, complemented
836	#2849	C₂×C₂₃	1	1	yes	characteristic, complemented
837	#2847	C₂×C₂₃	1	1	yes	characteristic, complemented
838	#2636	C₂×C₂₃	1	1	yes	characteristic, complemented
839	#2635	C₂×C₂₃	1	1	yes	characteristic, complemented
840	#2631	C₂×C₂₃	1	1	yes	characteristic, complemented
841	#2630	C₂×C₂₃	1	1	yes	characteristic, complemented
842	#2481	C₂×C₂₃	1	1	yes	characteristic, complemented
843	#2472	C₂×C₂₃	1	1	yes	characteristic, complemented
844	#2467	C₂×C₂₃	1	1	yes	characteristic, complemented
845	#2459	C₂×C₂₃	1	1	yes	characteristic, complemented
846	#2456	C₂×C₂₃	1	1	yes	characteristic, complemented
847	#2456	C₂×C₂₃	1	1	yes	characteristic, complemented
848	#2450	C₂×C₂₃	1	1	yes	characteristic, complemented
849	#2444	C₂×C₂₃	1	1	yes	characteristic, complemented
850	#2443	C₂×C₂₃	1	1	yes	characteristic, complemented
851	#2437	C₂×C₂₃	1	1	yes	characteristic, complemented
852	#2424	C₂×C₂₃	1	1	yes	characteristic, complemented
853	#2424	C₂×C₂₃	1	1	yes	characteristic, complemented
854	#2418	C₂×C₂₃	1	1	yes	characteristic, complemented
855	#2410	C₂×C₂₃	1	1	yes	characteristic, complemented
856	#2410	C₂×C₂₃	1	1	yes	characteristic, complemented
857	#2403	C₂×C₂₃	1	1	yes	characteristic, complemented
858	#2325	C₂×C₂₃	1	1	yes	characteristic, complemented
859	#2321	C₂×C₂₃	1	1	yes	characteristic, complemented
860	#2318	C₂×C₂₃	1	1	yes	characteristic, complemented
861	C₄×#120	C₂×C₂₃	1	1	yes	characteristic, complemented
862	C₂×#386	C₂×C₂₃	1	1	yes	characteristic, complemented
863	C₂²×C₂₃	—	2	2	no	—
864	C₂²×C₂₃	—	2	2	no	—
865	C₂²×C₂₃	—	2	2	no	—
866	C₂²×C₂₃	—	2	2	no	—
867	C₂²×C₂₃	—	2	2	no	—
868	C₂²×C₂₃	—	2	2	no	—
869	C₂²×C₂₃	—	2	2	no	—
870	C₂²×C₂₃	—	2	2	no	—
871	C₂²×C₂₃	—	2	2	no	—
872	C₂²×C₂₃	—	2	2	no	—
873	C₂²×C₂₃	—	2	2	no	—
874	C₂²×C₂₃	—	2	2	no	—
875	C₂²×C₂₃	—	2	2	no	—
876	C₂²×C₂₃	—	2	2	no	—
877	C₂²×C₂₃	—	2	2	no	—
878	C₂²×C₂₃	—	2	2	no	—
879	C₂²×C₂₃	—	2	2	no	—
880	C₂²×C₂₃	—	2	2	no	—
881	C₂²×C₂₃	—	2	2	no	—
882	C₂²×C₂₃	—	2	2	no	—
883	C₂²×C₂₃	—	2	2	no	—
884	C₂²×C₂₃	—	4	16	no	—
885	C₂²×C₂₃	—	4	16	no	—
886	C₂²×C₂₃	—	4	1	no	—
887	C₂²×C₂₃	—	4	1	no	—
888	C₂²×C₂₃	—	4	1	no	—
889	C₂²×C₂₃	—	4	1	no	—
890	C₂²×C₂₃	—	4	1	no	—
891	C₂²×C₂₃	—	4	1	no	—
892	C₂²×C₂₃	—	4	1	no	—
893	C₂²×C₂₃	—	4	1	no	—
894	C₂²×C₂₃	—	4	1	no	—
895	C₂²×C₂₃	—	4	1	no	—
896	C₂²×C₂₃	—	4	1	no	—
897	C₂²×C₂₃	—	4	1	no	—
898	C₂²×C₂₃	—	4	1	no	—
899	C₂²×C₂₃	—	4	1	no	—
900	C₂²×C₂₃	—	4	1	no	—
901	C₂²×C₂₃	—	4	1	no	—
902	C₂²×C₂₃	—	4	1	no	—
903	C₂²×C₂₃	—	4	1	no	—
904	C₂²×C₂₃	—	4	1	no	—
905	C₂²×C₂₃	—	4	1	no	—
906	C₂²×C₂₃	—	4	1	no	—
907	C₂²×C₂₃	—	4	1	no	—
908	C₂²×C₂₃	—	4	1	no	—
909	C₂²×C₂₃	—	4	1	no	—
910	C₂²×C₂₃	—	4	1	no	—
911	C₂²×C₂₃	—	4	1	no	—
912	C₂²×C₂₃	—	4	1	no	—
913	C₂²×C₂₃	—	4	1	no	—
914	C₂²×C₂₃	—	4	1	no	—
915	C₂²×C₂₃	—	4	1	no	—
916	C₂²×C₂₃	—	4	1	no	—
917	C₂²×C₂₃	—	4	1	no	—
918	C₂²×C₂₃	—	4	1	no	—
919	C₂²×C₂₃	—	8	8	no	—
920	C₂²×C₂₃	#525	1	4	yes	—
921	C₂²×C₂₃	#538	1	4	yes	complemented
922	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
923	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
924	C₂²×C₂₃	C₂²×#41	1	1	yes	characteristic
925	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
926	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
927	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
928	C₂²×C₂₃	#585	1	1	yes	characteristic
929	C₄×C₂₃	—	2	2	no	—
930	C₄×C₂₃	—	2	2	no	—
931	C₄×C₂₃	—	2	2	no	—
932	C₄×C₂₃	—	2	2	no	—
933	C₄×C₂₃	—	2	2	no	—
934	C₄×C₂₃	—	2	2	no	—
935	C₄×C₂₃	—	2	2	no	—
936	C₄×C₂₃	—	4	1	no	—
937	C₄×C₂₃	—	4	1	no	—
938	C₄×C₂₃	—	4	1	no	—
939	C₄×C₂₃	—	4	1	no	—
940	C₄×C₂₃	—	4	1	no	—
941	C₄×C₂₃	—	4	1	no	—
942	C₄×C₂₃	—	4	1	no	—
943	C₄×C₂₃	—	4	1	no	—
944	C₄×C₂₃	—	4	1	no	—
945	C₄×C₂₃	—	4	1	no	—
946	C₄×C₂₃	—	4	1	no	—
947	C₄×C₂₃	—	4	1	no	—
948	C₄×C₂₃	—	4	1	no	—
949	C₄×C₂₃	—	4	1	no	—
950	C₄×C₂₃	—	4	1	no	—
951	C₄×C₂₃	—	4	1	no	—
952	C₂³×D₄	C₂²×C₂₃	1	1	yes	characteristic
953	C₂³×D₄	C₂²×C₂₃	1	1	yes	characteristic
954	C₂⁴×C₄	C₂²×C₂₃	1	1	yes	characteristic
955	C₂⁴×C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
956	#538	—	2	8	no	—
957	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
958	C₂×#126	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	C₂×#124	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	C₂×#123	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
966	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
967	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
968	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
969	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
970	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
974	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
975	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
976	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
977	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic
978	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic, complemented
979	C₂×#120	C₂²×C₂₃	1	1	yes	characteristic, complemented
980	C₂×C₄×D₄	—	2	8	no	—
981	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
982	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
983	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
984	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
985	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
986	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
990	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
991	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
992	C₂²×C₄⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
994	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic
995	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
1000	#400	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#399	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#399	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#398	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#397	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#396	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	#394	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	#393	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	#392	C₂²×C₂₃	1	1	yes	characteristic
1023	#392	C₂²×C₂₃	1	1	yes	characteristic
1024	#392	C₂²×C₂₃	1	1	yes	characteristic
1025	#392	C₂²×C₂₃	1	1	yes	characteristic
1026	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#392	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#391	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#390	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1040	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1042	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1045	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	#388	C₂²×C₂₃	1	1	yes	characteristic, complemented
1047	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1048	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1049	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1051	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1052	#387	C₂²×C₂₃	1	1	yes	characteristic, complemented
1053	#386	C₂²×C₂₃	1	1	yes	characteristic
1054	#386	C₂²×C₂₃	1	1	yes	characteristic
1055	#386	C₂²×C₂₃	1	1	yes	characteristic
1056	#386	C₂²×C₂₃	1	1	yes	characteristic
1057	#386	C₂²×C₂₃	1	1	yes	characteristic
1058	#386	C₂²×C₂₃	1	1	yes	characteristic
1059	#386	C₂²×C₂₃	1	1	yes	characteristic
1060	#386	C₂²×C₂₃	1	1	yes	characteristic
1061	#386	C₂²×C₂₃	1	1	yes	characteristic
1062	#386	C₂²×C₂₃	1	1	yes	characteristic
1063	#386	C₂²×C₂₃	1	1	yes	characteristic
1064	#386	C₂²×C₂₃	1	1	yes	characteristic
1065	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1066	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1067	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1068	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1069	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1070	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1071	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1072	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1073	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1074	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1075	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1076	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1077	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1078	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1079	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1080	#386	C₂²×C₂₃	1	1	yes	characteristic, complemented
1081	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1082	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1083	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1084	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1085	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1086	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1087	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1088	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1089	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1090	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1091	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1092	#385	C₂²×C₂₃	1	1	yes	characteristic, complemented
1093	#383	C₂²×C₂₃	1	1	yes	characteristic, complemented
1094	#382	C₂²×C₂₃	1	1	yes	characteristic, complemented
1095	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
1096	#381	C₂²×C₂₃	1	1	yes	characteristic, complemented
1097	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1098	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1099	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1100	#380	C₂²×C₂₃	1	1	yes	characteristic, complemented
1101	#379	C₂²×C₂₃	1	1	yes	characteristic
1102	#379	C₂²×C₂₃	1	1	yes	characteristic, complemented
1103	#379	C₂²×C₂₃	1	1	yes	characteristic, complemented
1104	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1105	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	C₄×C₂²⋊C₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1107	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic, complemented
1108	C₂×#95	C₂²×C₂₃	1	1	yes	characteristic, complemented
1109	C₂×C₂₃	—	2	4	no	—
1110	C₂×C₂₃	—	2	4	no	—
1111	C₂×C₂₃	—	4	2	no	—
1112	C₂×C₂₃	—	4	2	no	—
1113	C₂×C₂₃	—	4	2	no	—
1114	C₂×C₂₃	—	8	1	no	—
1115	C₂×C₂₃	—	8	1	no	—
1116	C₂×C₂₃	—	8	1	no	—
1117	C₂×C₂₃	C₂×#525	1	1	yes	characteristic
1118	C₂×C₂₃	C₂×#538	1	1	yes	characteristic
1119	C₂×C₂₃	#3459	1	1	yes	characteristic
1120	C₂×C₂₃	#3484	1	1	yes	characteristic
1121	C₂×C₂₃	#3488	1	1	yes	characteristic
1122	C₂×C₂₃	#3513	1	1	yes	characteristic
1123	C₂×C₂₃	#3519	1	1	yes	characteristic
1124	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1125	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1126	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
1127	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1128	C₂²×D₄	—	2	4	no	—
1129	C₂²×D₄	—	2	4	no	—
1130	C₂²×D₄	—	2	4	no	—
1131	C₂²×D₄	—	2	4	no	—
1132	C₂²×D₄	—	4	2	no	—
1133	C₂²×D₄	—	4	2	no	—
1134	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1135	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1136	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1137	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1138	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1139	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1140	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1141	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1142	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1143	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1144	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1145	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1146	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1147	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1148	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1149	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1151	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1152	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1153	C₂³×C₄	—	2	4	no	—
1154	C₂³×C₄	—	2	4	no	—
1155	C₂³×C₄	—	4	2	no	—
1156	C₂³×C₄	—	4	2	no	—
1157	C₂³×C₄	—	4	2	no	—
1158	C₂³×C₄	—	4	2	no	—
1159	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1160	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1161	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1162	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1163	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1164	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1165	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1166	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1167	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1168	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1169	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1170	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1171	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1172	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1176	#126	—	2	4	no	—
1177	#126	—	2	4	no	—
1178	#124	—	2	4	no	—
1179	#124	—	2	4	no	—
1180	#123	—	2	4	no	—
1181	#123	—	2	4	no	—
1182	#123	—	4	2	no	—
1183	C₂²⋊Q₈	—	2	4	no	—
1184	C₂²⋊Q₈	—	4	2	no	—
1185	#121	—	2	4	no	—
1186	#121	—	2	4	no	—
1187	#121	—	2	4	no	—
1188	#121	—	2	4	no	—
1189	#121	—	4	2	no	—
1190	#121	—	4	2	no	—
1191	#121	—	4	2	no	—
1192	#120	—	2	4	no	—
1193	#120	—	2	4	no	—
1194	#120	—	2	4	no	—
1195	#120	—	2	4	no	—
1196	#120	—	4	2	no	—
1197	#120	—	4	2	no	—
1198	#120	—	4	2	no	—
1199	C₄×D₄	—	2	4	no	—
1200	C₄×D₄	—	2	4	no	—
1201	C₄×D₄	—	2	4	no	—
1202	C₄×D₄	—	2	4	no	—
1203	C₄×D₄	—	2	4	no	—
1204	C₄×D₄	—	2	4	no	—
1205	C₄×D₄	—	2	4	no	—
1206	C₄×D₄	—	2	4	no	—
1207	C₄×D₄	—	4	2	no	—
1208	C₄×D₄	—	4	2	no	—
1209	C₄×D₄	D₄×C₂₃	1	8	yes	complemented
1210	C₂×C₄⋊C₄	—	2	4	no	—
1211	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1219	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1222	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1223	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1224	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1226	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1229	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1231	C₂×C₂²⋊C₄	—	2	4	no	—
1232	C₂×C₂²⋊C₄	—	2	4	no	—
1233	C₂×C₂²⋊C₄	—	2	4	no	—
1234	C₂×C₂²⋊C₄	—	4	2	no	—
1235	C₂×C₂²⋊C₄	—	4	2	no	—
1236	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1238	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1239	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1240	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1241	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1242	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1249	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1250	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1253	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1256	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1258	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1259	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1261	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1262	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1264	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1265	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1266	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1268	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1270	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1271	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1274	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1275	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1277	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1278	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1279	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1280	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1283	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1284	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1285	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1286	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1287	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1288	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1289	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1290	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1292	C₂×C₄²	—	2	4	no	—
1293	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1294	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1295	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1296	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1297	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1298	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1299	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1300	#95	C₂³×C₂₃	1	1	yes	characteristic
1301	#95	C₂³×C₂₃	1	1	yes	characteristic
1302	#95	C₂³×C₂₃	1	1	yes	characteristic
1303	#95	C₂³×C₂₃	1	1	yes	characteristic
1304	#95	C₂³×C₂₃	1	1	yes	characteristic
1305	#95	C₂³×C₂₃	1	1	yes	characteristic
1306	#95	C₂³×C₂₃	1	1	yes	characteristic
1307	#95	C₂³×C₂₃	1	1	yes	characteristic
1308	#95	C₂³×C₂₃	1	1	yes	characteristic
1309	#95	C₂³×C₂₃	1	1	yes	characteristic
1310	#95	C₂³×C₂₃	1	1	yes	characteristic
1311	#95	C₂³×C₂₃	1	1	yes	characteristic
1312	#95	C₂³×C₂₃	1	1	yes	characteristic
1313	#95	C₂³×C₂₃	1	1	yes	characteristic
1314	#95	C₂³×C₂₃	1	1	yes	characteristic
1315	#95	C₂³×C₂₃	1	1	yes	characteristic
1316	#95	C₂³×C₂₃	1	1	yes	characteristic
1317	#95	C₂³×C₂₃	1	1	yes	characteristic
1318	#95	C₂³×C₂₃	1	1	yes	characteristic
1319	#95	C₂³×C₂₃	1	1	yes	characteristic
1320	#95	C₂³×C₂₃	1	1	yes	characteristic
1321	#95	C₂³×C₂₃	1	1	yes	characteristic
1322	#95	C₂³×C₂₃	1	1	yes	characteristic
1323	#95	C₂³×C₂₃	1	1	yes	characteristic
1324	#95	C₂³×C₂₃	1	1	yes	characteristic
1325	#95	C₂³×C₂₃	1	1	yes	characteristic
1326	#95	C₂³×C₂₃	1	1	yes	characteristic
1327	#95	C₂³×C₂₃	1	1	yes	characteristic
1328	#95	C₂³×C₂₃	1	1	yes	characteristic
1329	#95	C₂³×C₂₃	1	1	yes	characteristic
1330	#95	C₂³×C₂₃	1	1	yes	characteristic
1331	#95	C₂³×C₂₃	1	1	yes	characteristic
1332	C₂₃	#34990	1	1	yes	characteristic, direct product factor, Sylow
1333	C₂⁴	—	2	2	no	—
1334	C₂⁴	—	2	2	no	—
1335	C₂⁴	—	2	2	no	—
1336	C₂⁴	—	2	2	no	—
1337	C₂⁴	—	2	2	no	—
1338	C₂⁴	—	2	2	no	—
1339	C₂⁴	—	2	2	no	—
1340	C₂⁴	—	2	2	no	—
1341	C₂⁴	—	2	2	no	—
1342	C₂⁴	—	2	2	no	—
1343	C₂⁴	—	2	2	no	—
1344	C₂⁴	—	2	2	no	—
1345	C₂⁴	—	4	1	no	—
1346	C₂⁴	—	4	1	no	—
1347	C₂⁴	—	4	1	no	—
1348	C₂⁴	—	4	1	no	—
1349	C₂⁴	—	4	1	no	—
1350	C₂⁴	—	4	1	no	—
1351	C₂⁴	—	4	1	no	—
1352	C₂⁴	—	4	1	no	—
1353	C₂⁴	#41×C₂₃	1	4	yes	—
1354	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1355	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1356	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1357	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1358	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1359	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1360	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1361	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
1362	C₂×Q₈	—	2	2	no	—
1363	C₂×Q₈	—	4	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×D₄	—	2	32	no	—
1366	C₂×D₄	—	2	2	no	—
1367	C₂×D₄	—	2	2	no	—
1368	C₂×D₄	—	2	2	no	—
1369	C₂×D₄	—	2	2	no	—
1370	C₂×D₄	—	2	2	no	—
1371	C₂×D₄	—	2	2	no	—
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	2	no	—
1374	C₂×D₄	—	2	2	no	—
1375	C₂×D₄	—	2	2	no	—
1376	C₂×D₄	—	2	2	no	—
1377	C₂×D₄	—	2	2	no	—
1378	C₂×D₄	—	2	2	no	—
1379	C₂×D₄	—	2	2	no	—
1380	C₂×D₄	—	2	2	no	—
1381	C₂×D₄	—	2	2	no	—
1382	C₂×D₄	—	2	2	no	—
1383	C₂×D₄	—	2	2	no	—
1384	C₂×D₄	—	2	2	no	—
1385	C₂×D₄	—	2	2	no	—
1386	C₂×D₄	—	2	2	no	—
1387	C₂×D₄	—	2	2	no	—
1388	C₂×D₄	—	2	2	no	—
1389	C₂×D₄	—	2	2	no	—
1390	C₂×D₄	—	2	2	no	—
1391	C₂×D₄	—	2	2	no	—
1392	C₂×D₄	—	2	2	no	—
1393	C₂×D₄	—	2	2	no	—
1394	C₂×D₄	—	2	2	no	—
1395	C₂×D₄	—	2	2	no	—
1396	C₂×D₄	—	2	2	no	—
1397	C₂×D₄	—	2	2	no	—
1398	C₂×D₄	—	2	2	no	—
1399	C₂×D₄	—	4	1	no	—
1400	C₂×D₄	—	4	1	no	—
1401	C₂×D₄	—	4	1	no	—
1402	C₂×D₄	—	4	1	no	—
1403	C₂×D₄	—	4	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	4	1	no	—
1406	C₂×D₄	—	4	1	no	—
1407	C₂×D₄	—	4	1	no	—
1408	C₂×D₄	—	4	1	no	—
1409	C₂×D₄	—	4	1	no	—
1410	C₂×D₄	—	4	1	no	—
1411	C₂×D₄	—	4	1	no	—
1412	C₂×D₄	—	4	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	4	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	16	no	—
1422	C₂×D₄	C₂×D₄×C₂₃	1	4	yes	—
1423	C₂×D₄	#41×C₂₃	1	4	yes	—
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	—	2	2	no	—
1437	C₂²×C₄	—	2	2	no	—
1438	C₂²×C₄	—	2	2	no	—
1439	C₂²×C₄	—	2	2	no	—
1440	C₂²×C₄	—	2	2	no	—
1441	C₂²×C₄	—	2	2	no	—
1442	C₂²×C₄	—	2	2	no	—
1443	C₂²×C₄	—	2	2	no	—
1444	C₂²×C₄	—	2	2	no	—
1445	C₂²×C₄	—	2	2	no	—
1446	C₂²×C₄	—	2	2	no	—
1447	C₂²×C₄	—	2	2	no	—
1448	C₂²×C₄	—	2	2	no	—
1449	C₂²×C₄	—	2	2	no	—
1450	C₂²×C₄	—	4	1	no	—
1451	C₂²×C₄	—	4	1	no	—
1452	C₂²×C₄	—	4	1	no	—
1453	C₂²×C₄	—	4	1	no	—
1454	C₂²×C₄	—	4	1	no	—
1455	C₂²×C₄	—	4	1	no	—
1456	C₂²×C₄	—	4	1	no	—
1457	C₂²×C₄	—	4	1	no	—
1458	C₂²×C₄	—	4	1	no	—
1459	C₂²×C₄	—	4	1	no	—
1460	C₂²×C₄	—	4	1	no	—
1461	C₂²×C₄	—	4	1	no	—
1462	C₂²×C₄	—	4	1	no	—
1463	C₂²×C₄	—	4	1	no	—
1464	C₂²×C₄	—	4	1	no	—
1465	C₂²×C₄	—	4	1	no	—
1466	C₂²×C₄	—	4	1	no	—
1467	C₂²×C₄	—	4	1	no	—
1468	C₂²×C₄	—	4	1	no	—
1469	C₂²×C₄	—	4	1	no	—
1470	C₂²×C₄	—	4	1	no	—
1471	C₂²×C₄	—	4	1	no	—
1472	C₂²×C₄	—	4	1	no	—
1473	C₂²×C₄	—	4	16	no	—
1474	C₂²×C₄	—	4	16	no	—
1475	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	—
1476	C₂²×C₄	C₂×D₄×C₂₃	1	4	yes	complemented
1477	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1479	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1480	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1482	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1483	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1487	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1488	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1489	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1490	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1491	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1492	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1493	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1494	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1495	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1496	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1497	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1498	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1499	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1500	C₄⋊C₄	—	2	2	no	—
1501	C₄⋊C₄	—	2	2	no	—
1502	C₄⋊C₄	—	2	2	no	—
1503	C₄⋊C₄	—	2	2	no	—
1504	C₄⋊C₄	—	2	2	no	—
1505	C₄⋊C₄	—	2	2	no	—
1506	C₄⋊C₄	—	2	2	no	—
1507	C₄⋊C₄	—	2	2	no	—
1508	C₄⋊C₄	—	2	2	no	—
1509	C₄⋊C₄	—	2	2	no	—
1510	C₄⋊C₄	—	4	1	no	—
1511	C₄⋊C₄	—	4	1	no	—
1512	C₄⋊C₄	—	4	1	no	—
1513	C₄⋊C₄	—	4	1	no	—
1514	C₄⋊C₄	—	4	1	no	—
1515	C₄⋊C₄	—	4	1	no	—
1516	C₄⋊C₄	—	4	1	no	—
1517	C₄⋊C₄	—	4	1	no	—
1518	C₄⋊C₄	—	4	1	no	—
1519	C₄⋊C₄	C₂×D₄×C₂₃	1	4	yes	complemented
1520	C₂²⋊C₄	—	2	2	no	—
1521	C₂²⋊C₄	—	2	2	no	—
1522	C₂²⋊C₄	—	2	2	no	—
1523	C₂²⋊C₄	—	2	2	no	—
1524	C₂²⋊C₄	—	2	2	no	—
1525	C₂²⋊C₄	—	2	2	no	—
1526	C₂²⋊C₄	—	2	2	no	—
1527	C₂²⋊C₄	—	2	2	no	—
1528	C₂²⋊C₄	—	2	2	no	—
1529	C₂²⋊C₄	—	2	2	no	—
1530	C₂²⋊C₄	—	2	2	no	—
1531	C₂²⋊C₄	—	2	2	no	—
1532	C₂²⋊C₄	—	2	2	no	—
1533	C₂²⋊C₄	—	2	2	no	—
1534	C₂²⋊C₄	—	2	2	no	—
1535	C₂²⋊C₄	—	2	2	no	—
1536	C₂²⋊C₄	—	2	2	no	—
1537	C₂²⋊C₄	—	2	2	no	—
1538	C₂²⋊C₄	—	2	2	no	—
1539	C₂²⋊C₄	—	2	2	no	—
1540	C₂²⋊C₄	—	2	2	no	—
1541	C₂²⋊C₄	—	2	2	no	—
1542	C₂²⋊C₄	—	2	2	no	—
1543	C₂²⋊C₄	—	2	2	no	—
1544	C₂²⋊C₄	—	2	2	no	—
1545	C₂²⋊C₄	—	2	2	no	—
1546	C₂²⋊C₄	—	2	2	no	—
1547	C₂²⋊C₄	—	2	2	no	—
1548	C₂²⋊C₄	—	2	2	no	—
1549	C₂²⋊C₄	—	2	2	no	—
1550	C₂²⋊C₄	—	2	2	no	—
1551	C₂²⋊C₄	—	2	2	no	—
1552	C₂²⋊C₄	—	2	2	no	—
1553	C₂²⋊C₄	—	4	1	no	—
1554	C₂²⋊C₄	—	4	1	no	—
1555	C₂²⋊C₄	—	4	1	no	—
1556	C₂²⋊C₄	—	4	1	no	—
1557	C₂²⋊C₄	—	4	1	no	—
1558	C₂²⋊C₄	—	4	1	no	—
1559	C₂²⋊C₄	—	4	1	no	—
1560	C₂²⋊C₄	—	4	1	no	—
1561	C₂²⋊C₄	—	4	1	no	—
1562	C₂²⋊C₄	—	4	1	no	—
1563	C₂²⋊C₄	—	4	1	no	—
1564	C₂²⋊C₄	—	4	1	no	—
1565	C₂²⋊C₄	—	4	1	no	—
1566	C₂²⋊C₄	—	4	1	no	—
1567	C₂²⋊C₄	—	4	1	no	—
1568	C₂²⋊C₄	—	4	1	no	—
1569	C₂²⋊C₄	—	4	1	no	—
1570	C₂²⋊C₄	—	4	1	no	—
1571	C₂²⋊C₄	—	4	1	no	—
1572	C₂²⋊C₄	—	4	1	no	—
1573	C₂²⋊C₄	—	4	1	no	—
1574	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	—
1575	C₂²⋊C₄	C₂×D₄×C₂₃	1	4	yes	complemented
1576	C₄²	—	2	2	no	—
1577	C₄²	—	2	2	no	—
1578	C₄²	—	2	2	no	—
1579	C₄²	—	2	2	no	—
1580	C₄²	—	4	1	no	—
1581	C₄²	—	4	1	no	—
1582	C₄²	C₂×D₄×C₂₃	1	4	yes	complemented
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	2	1	no	—
1589	C₂³	—	2	1	no	—
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	8	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	2	1	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	2	8	no	—
1611	C₂³	—	2	8	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	2	1	no	—
1618	C₂³	—	2	1	no	—
1619	C₂³	—	2	1	no	—
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	2	1	no	—
1631	C₂³	—	2	1	no	—
1632	C₂³	—	2	1	no	—
1633	C₂³	—	4	4	no	—
1634	C₂³	—	4	4	no	—
1635	C₂³	—	4	4	no	—
1636	C₂³	—	4	4	no	—
1637	C₂³	—	4	4	no	—
1638	C₂³	—	4	4	no	—
1639	C₂³	—	4	4	no	—
1640	C₂³	—	4	4	no	—
1641	C₂³	—	4	4	no	—
1642	C₂³	—	4	4	no	—
1643	C₂³	—	4	4	no	—
1644	C₂³	—	4	4	no	—
1645	C₂³	—	4	4	no	—
1646	C₂³	—	4	4	no	—
1647	C₂³	—	8	2	no	—
1648	C₂³	—	8	2	no	—
1649	C₂³	—	8	2	no	—
1650	C₂³	—	8	2	no	—
1651	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1652	C₂³	C₂²×D₄×C₂₃	1	2	yes	—
1653	C₂³	C₂×#41×C₂₃	1	2	yes	—
1654	C₂³	C₂×#41×C₂₃	1	2	yes	—
1655	C₂³	C₂×#41×C₂₃	1	2	yes	—
1656	C₂³	C₂×#41×C₂₃	1	2	yes	—
1657	C₂³	C₂×#41×C₂₃	1	2	yes	—
1658	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1659	C₂³	C₂₃×H(5,𝔽₂)	1	2	yes	—
1660	C₂³	C₂⁵×C₂₃	1	1	yes	characteristic
1661	Q₈	—	8	2	no	—
1662	D₄	—	2	8	no	—
1663	D₄	—	2	8	no	—
1664	D₄	—	2	8	no	—
1665	D₄	—	2	8	no	—
1666	D₄	—	4	4	no	—
1667	D₄	—	4	4	no	—
1668	D₄	—	4	4	no	—
1669	D₄	—	4	4	no	—
1670	D₄	—	4	4	no	—
1671	D₄	—	4	4	no	—
1672	D₄	—	4	4	no	—
1673	D₄	—	8	2	no	—
1674	D₄	—	8	2	no	—
1675	D₄	—	8	2	no	—
1676	D₄	—	8	2	no	—
1677	D₄	—	8	2	no	—
1678	D₄	—	8	2	no	—
1679	D₄	—	8	2	no	—
1680	D₄	—	8	2	no	—
1681	C₂×C₄	—	2	8	no	—
1682	C₂×C₄	—	2	8	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	4	4	no	—
1746	C₂×C₄	—	4	4	no	—
1747	C₂×C₄	—	4	4	no	—
1748	C₂×C₄	—	4	4	no	—
1749	C₂×C₄	—	4	4	no	—
1750	C₂×C₄	—	4	4	no	—
1751	C₂×C₄	—	4	4	no	—
1752	C₂×C₄	—	4	4	no	—
1753	C₂×C₄	—	4	4	no	—
1754	C₂×C₄	—	4	4	no	—
1755	C₂×C₄	—	4	4	no	—
1756	C₂×C₄	—	4	4	no	—
1757	C₂×C₄	—	8	2	no	—
1758	C₂×C₄	—	8	2	no	—
1759	C₂×C₄	—	8	2	no	—
1760	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1761	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1762	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1763	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1764	C₂×C₄	C₂²×D₄×C₂₃	1	2	yes	—
1765	C₂×C₄	C₂×#41×C₂₃	1	2	yes	—
1766	C₂×C₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1767	C₂²	—	2	2	no	—
1768	C₂²	—	2	2	no	—
1769	C₂²	—	2	2	no	—
1770	C₂²	—	2	2	no	—
1771	C₂²	—	2	2	no	—
1772	C₂²	—	2	2	no	—
1773	C₂²	—	2	2	no	—
1774	C₂²	—	2	2	no	—
1775	C₂²	—	2	2	no	—
1776	C₂²	—	2	2	no	—
1777	C₂²	—	2	2	no	—
1778	C₂²	—	2	2	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	2	2	no	—
1783	C₂²	—	2	2	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	2	2	no	—
1786	C₂²	—	2	2	no	—
1787	C₂²	—	2	2	no	—
1788	C₂²	—	4	16	no	—
1789	C₂²	—	4	16	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	8	8	no	—
1824	C₂²	C₂₃×#525	1	4	yes	—
1825	C₂²	C₂₃×#538	1	4	yes	complemented
1826	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1827	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1828	C₂²	C₂²×#41×C₂₃	1	1	yes	characteristic
1829	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1830	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1831	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1832	C₂²	C₂₃×#585	1	1	yes	characteristic
1833	C₄	—	2	2	no	—
1834	C₄	—	2	2	no	—
1835	C₄	—	2	2	no	—
1836	C₄	—	2	2	no	—
1837	C₄	—	2	2	no	—
1838	C₄	—	2	2	no	—
1839	C₄	—	2	2	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	4	1	no	—
1849	C₄	—	4	1	no	—
1850	C₄	—	4	1	no	—
1851	C₄	—	4	1	no	—
1852	C₄	—	4	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₂	—	2	4	no	—
1857	C₂	—	2	4	no	—
1858	C₂	—	4	2	no	—
1859	C₂	—	4	2	no	—
1860	C₂	—	4	2	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	8	1	no	—
1863	C₂	—	8	1	no	—
1864	C₂	C₂×C₂₃×#525	1	1	yes	characteristic
1865	C₂	C₂×C₂₃×#538	1	1	yes	characteristic
1866	C₂	C₂₃×#3459	1	1	yes	characteristic
1867	C₂	C₂₃×#3484	1	1	yes	characteristic
1868	C₂	C₂₃×#3488	1	1	yes	characteristic
1869	C₂	C₂₃×#3513	1	1	yes	characteristic
1870	C₂	C₂₃×#3519	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×#538	C₂	semidirect
2. C₂²×C₄×D₄×C₂₃	C₂	semidirect
3. C₂₃×#2852	C₂	semidirect
4. C₂₃×#2850	C₂	semidirect
5. C₂₃×#2849	C₂	semidirect
6. C₂₃×#2847	C₂	semidirect
7. C₂₃×#2636	C₂	semidirect
8. C₂₃×#2635	C₂	semidirect
9. C₂₃×#2631	C₂	semidirect
10. C₂₃×#2630	C₂	semidirect
11. C₂₃×#2481	C₂	semidirect
12. C₂₃×#2472	C₂	semidirect
13. C₂₃×#2467	C₂	semidirect
14. C₂₃×#2459	C₂	semidirect
15. C₂₃×#2456	C₂	semidirect
16. C₂₃×#2456	C₂	semidirect
17. C₂₃×#2450	C₂	semidirect
18. C₂₃×#2444	C₂	semidirect
19. C₂₃×#2443	C₂	semidirect
20. C₂₃×#2437	C₂	semidirect
21. C₂₃×#2424	C₂	semidirect
22. C₂₃×#2424	C₂	semidirect
23. C₂₃×#2418	C₂	semidirect
24. C₂₃×#2410	C₂	semidirect
25. C₂₃×#2410	C₂	semidirect
26. C₂₃×#2403	C₂	semidirect
27. C₂₃×#2325	C₂	semidirect
28. C₂₃×#2321	C₂	semidirect
29. C₂₃×#2318	C₂	semidirect
30. C₄×C₂₃×#120	C₂	semidirect
31. C₂×C₂₃×#386	C₂	semidirect
35. C₂⁴×C₄×C₂₃	C₂²	semidirect
37. C₂×C₂₃×#126	C₂²	semidirect
38. C₂×C₂₃×#126	C₂²	semidirect
39. C₂×C₂₃×#124	C₂²	semidirect
40. C₂×C₂₃×#124	C₂²	semidirect
41. C₂×C₂₃×#123	C₂²	semidirect
42. C₂×C₂₃×#123	C₂²	semidirect
43. C₂×C₂₃×#123	C₂²	semidirect
44. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
45. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₂₃×#121	C₂²	semidirect
51. C₂×C₂₃×#121	C₂²	semidirect
52. C₂×C₂₃×#121	C₂²	semidirect
58. C₂×C₂₃×#120	C₂²	semidirect
59. C₂×C₂₃×#120	C₂²	semidirect
65. C₂×C₄×D₄×C₂₃	C₂²	semidirect
66. C₂×C₄×D₄×C₂₃	C₂²	semidirect
67. C₂×C₄×D₄×C₂₃	C₂²	semidirect
68. C₂×C₄×D₄×C₂₃	C₂²	semidirect
69. C₂×C₄×D₄×C₂₃	C₂²	semidirect
70. C₂×C₄×D₄×C₂₃	C₂²	semidirect
71. C₂×C₄×D₄×C₂₃	C₂²	semidirect
72. C₂²×C₄⋊C₄×C₂₃	C₂²	semidirect
75. C₂²×C₂²⋊C₄×C₂₃	C₂²	semidirect
76. C₂²×C₂²⋊C₄×C₂₃	C₂²	semidirect
77. C₂²×C₂²⋊C₄×C₂₃	C₂²	semidirect
78. C₂²×C₄²×C₂₃	C₂²	semidirect
79. C₂₃×#400	C₂²	semidirect
80. C₂₃×#400	C₂²	semidirect
81. C₂₃×#399	C₂²	semidirect
82. C₂₃×#399	C₂²	semidirect
83. C₂₃×#398	C₂²	semidirect
84. C₂₃×#397	C₂²	semidirect
85. C₂₃×#397	C₂²	semidirect
86. C₂₃×#397	C₂²	semidirect
87. C₂₃×#396	C₂²	semidirect
88. C₂₃×#396	C₂²	semidirect
89. C₂₃×#396	C₂²	semidirect
90. C₂₃×#396	C₂²	semidirect
91. C₂₃×#394	C₂²	semidirect
92. C₂₃×#394	C₂²	semidirect
93. C₂₃×#394	C₂²	semidirect
94. C₂₃×#394	C₂²	semidirect
95. C₂₃×#394	C₂²	semidirect
96. C₂₃×#394	C₂²	semidirect
97. C₂₃×#394	C₂²	semidirect
98. C₂₃×#394	C₂²	semidirect
99. C₂₃×#394	C₂²	semidirect
100. C₂₃×#393	C₂²	semidirect
101. C₂₃×#393	C₂²	semidirect
106. C₂₃×#392	C₂²	semidirect
107. C₂₃×#392	C₂²	semidirect
108. C₂₃×#392	C₂²	semidirect
109. C₂₃×#392	C₂²	semidirect
110. C₂₃×#392	C₂²	semidirect
111. C₂₃×#391	C₂²	semidirect
112. C₂₃×#390	C₂²	semidirect
113. C₂₃×#390	C₂²	semidirect
114. C₂₃×#390	C₂²	semidirect
115. C₂₃×#388	C₂²	semidirect
116. C₂₃×#388	C₂²	semidirect
117. C₂₃×#388	C₂²	semidirect
118. C₂₃×#388	C₂²	semidirect
119. C₂₃×#388	C₂²	semidirect
120. C₂₃×#388	C₂²	semidirect
121. C₂₃×#388	C₂²	semidirect
122. C₂₃×#388	C₂²	semidirect
123. C₂₃×#388	C₂²	semidirect
124. C₂₃×#388	C₂²	semidirect
125. C₂₃×#388	C₂²	semidirect
126. C₂₃×#388	C₂²	semidirect
127. C₂₃×#387	C₂²	semidirect
128. C₂₃×#387	C₂²	semidirect
129. C₂₃×#387	C₂²	semidirect
130. C₂₃×#387	C₂²	semidirect
131. C₂₃×#387	C₂²	semidirect
132. C₂₃×#387	C₂²	semidirect
145. C₂₃×#386	C₂²	semidirect
146. C₂₃×#386	C₂²	semidirect
147. C₂₃×#386	C₂²	semidirect
148. C₂₃×#386	C₂²	semidirect
149. C₂₃×#386	C₂²	semidirect
150. C₂₃×#386	C₂²	semidirect
151. C₂₃×#386	C₂²	semidirect
152. C₂₃×#386	C₂²	semidirect
153. C₂₃×#386	C₂²	semidirect
154. C₂₃×#386	C₂²	semidirect
155. C₂₃×#386	C₂²	semidirect
156. C₂₃×#386	C₂²	semidirect
157. C₂₃×#386	C₂²	semidirect
158. C₂₃×#386	C₂²	semidirect
159. C₂₃×#386	C₂²	semidirect
160. C₂₃×#386	C₂²	semidirect
161. C₂₃×#385	C₂²	semidirect
162. C₂₃×#385	C₂²	semidirect
163. C₂₃×#385	C₂²	semidirect
164. C₂₃×#385	C₂²	semidirect
165. C₂₃×#385	C₂²	semidirect
166. C₂₃×#385	C₂²	semidirect
167. C₂₃×#385	C₂²	semidirect
168. C₂₃×#385	C₂²	semidirect
169. C₂₃×#385	C₂²	semidirect
170. C₂₃×#385	C₂²	semidirect
171. C₂₃×#385	C₂²	semidirect
172. C₂₃×#385	C₂²	semidirect
173. C₂₃×#383	C₂²	semidirect
174. C₂₃×#382	C₂²	semidirect
175. C₂₃×#381	C₂²	semidirect
176. C₂₃×#381	C₂²	semidirect
177. C₂₃×#380	C₂²	semidirect
178. C₂₃×#380	C₂²	semidirect
179. C₂₃×#380	C₂²	semidirect
180. C₂₃×#380	C₂²	semidirect
182. C₂₃×#379	C₂²	semidirect
183. C₂₃×#379	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₂₃	C₂²	semidirect
187. C₂×C₂₃×#95	C₂²	semidirect
188. C₂×C₂₃×#95	C₂²	semidirect
274. C₄×D₄×C₂₃	D₄	semidirect
540. C₂²×C₄×C₂₃	C₂×D₄	semidirect
583. C₄⋊C₄×C₂₃	C₂×D₄	semidirect
639. C₂²⋊C₄×C₂₃	C₂×D₄	semidirect
646. C₄²×C₂₃	C₂×D₄	semidirect
647. #34990	C₂₃	direct (N × H)
832. C₂×#538	C₂×C₂₃	semidirect
833. C₂²×C₄×D₄	C₂×C₂₃	semidirect
834. #2852	C₂×C₂₃	semidirect
835. #2850	C₂×C₂₃	semidirect
836. #2849	C₂×C₂₃	semidirect
837. #2847	C₂×C₂₃	semidirect
838. #2636	C₂×C₂₃	semidirect
839. #2635	C₂×C₂₃	semidirect
840. #2631	C₂×C₂₃	semidirect
841. #2630	C₂×C₂₃	semidirect
842. #2481	C₂×C₂₃	semidirect
843. #2472	C₂×C₂₃	semidirect
844. #2467	C₂×C₂₃	semidirect
845. #2459	C₂×C₂₃	semidirect
846. #2456	C₂×C₂₃	semidirect
847. #2456	C₂×C₂₃	semidirect
848. #2450	C₂×C₂₃	semidirect
849. #2444	C₂×C₂₃	semidirect
850. #2443	C₂×C₂₃	semidirect
851. #2437	C₂×C₂₃	semidirect
852. #2424	C₂×C₂₃	semidirect
853. #2424	C₂×C₂₃	semidirect
854. #2418	C₂×C₂₃	semidirect
855. #2410	C₂×C₂₃	semidirect
856. #2410	C₂×C₂₃	semidirect
857. #2403	C₂×C₂₃	semidirect
858. #2325	C₂×C₂₃	semidirect
859. #2321	C₂×C₂₃	semidirect
860. #2318	C₂×C₂₃	semidirect
861. C₄×#120	C₂×C₂₃	semidirect
862. C₂×#386	C₂×C₂₃	semidirect
921. C₂²×C₂₃	#538	semidirect
955. C₂⁴×C₄	C₂²×C₂₃	semidirect
957. C₂×#126	C₂²×C₂₃	semidirect
958. C₂×#126	C₂²×C₂₃	semidirect
959. C₂×#124	C₂²×C₂₃	semidirect
960. C₂×#124	C₂²×C₂₃	semidirect
961. C₂×#123	C₂²×C₂₃	semidirect
962. C₂×#123	C₂²×C₂₃	semidirect
963. C₂×#123	C₂²×C₂₃	semidirect
964. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
965. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
970. C₂×#121	C₂²×C₂₃	semidirect
971. C₂×#121	C₂²×C₂₃	semidirect
972. C₂×#121	C₂²×C₂₃	semidirect
978. C₂×#120	C₂²×C₂₃	semidirect
979. C₂×#120	C₂²×C₂₃	semidirect
985. C₂×C₄×D₄	C₂²×C₂₃	semidirect
986. C₂×C₄×D₄	C₂²×C₂₃	semidirect
987. C₂×C₄×D₄	C₂²×C₂₃	semidirect
988. C₂×C₄×D₄	C₂²×C₂₃	semidirect
989. C₂×C₄×D₄	C₂²×C₂₃	semidirect
990. C₂×C₄×D₄	C₂²×C₂₃	semidirect
991. C₂×C₄×D₄	C₂²×C₂₃	semidirect
992. C₂²×C₄⋊C₄	C₂²×C₂₃	semidirect
995. C₂²×C₂²⋊C₄	C₂²×C₂₃	semidirect
996. C₂²×C₂²⋊C₄	C₂²×C₂₃	semidirect
997. C₂²×C₂²⋊C₄	C₂²×C₂₃	semidirect
998. C₂²×C₄²	C₂²×C₂₃	semidirect
999. #400	C₂²×C₂₃	semidirect
1000. #400	C₂²×C₂₃	semidirect
1001. #399	C₂²×C₂₃	semidirect
1002. #399	C₂²×C₂₃	semidirect
1003. #398	C₂²×C₂₃	semidirect
1004. #397	C₂²×C₂₃	semidirect
1005. #397	C₂²×C₂₃	semidirect
1006. #397	C₂²×C₂₃	semidirect
1007. #396	C₂²×C₂₃	semidirect
1008. #396	C₂²×C₂₃	semidirect
1009. #396	C₂²×C₂₃	semidirect
1010. #396	C₂²×C₂₃	semidirect
1011. #394	C₂²×C₂₃	semidirect
1012. #394	C₂²×C₂₃	semidirect
1013. #394	C₂²×C₂₃	semidirect
1014. #394	C₂²×C₂₃	semidirect
1015. #394	C₂²×C₂₃	semidirect
1016. #394	C₂²×C₂₃	semidirect
1017. #394	C₂²×C₂₃	semidirect
1018. #394	C₂²×C₂₃	semidirect
1019. #394	C₂²×C₂₃	semidirect
1020. #393	C₂²×C₂₃	semidirect
1021. #393	C₂²×C₂₃	semidirect
1026. #392	C₂²×C₂₃	semidirect
1027. #392	C₂²×C₂₃	semidirect
1028. #392	C₂²×C₂₃	semidirect
1029. #392	C₂²×C₂₃	semidirect
1030. #392	C₂²×C₂₃	semidirect
1031. #391	C₂²×C₂₃	semidirect
1032. #390	C₂²×C₂₃	semidirect
1033. #390	C₂²×C₂₃	semidirect
1034. #390	C₂²×C₂₃	semidirect
1035. #388	C₂²×C₂₃	semidirect
1036. #388	C₂²×C₂₃	semidirect
1037. #388	C₂²×C₂₃	semidirect
1038. #388	C₂²×C₂₃	semidirect
1039. #388	C₂²×C₂₃	semidirect
1040. #388	C₂²×C₂₃	semidirect
1041. #388	C₂²×C₂₃	semidirect
1042. #388	C₂²×C₂₃	semidirect
1043. #388	C₂²×C₂₃	semidirect
1044. #388	C₂²×C₂₃	semidirect
1045. #388	C₂²×C₂₃	semidirect
1046. #388	C₂²×C₂₃	semidirect
1047. #387	C₂²×C₂₃	semidirect
1048. #387	C₂²×C₂₃	semidirect
1049. #387	C₂²×C₂₃	semidirect
1050. #387	C₂²×C₂₃	semidirect
1051. #387	C₂²×C₂₃	semidirect
1052. #387	C₂²×C₂₃	semidirect
1065. #386	C₂²×C₂₃	semidirect
1066. #386	C₂²×C₂₃	semidirect
1067. #386	C₂²×C₂₃	semidirect
1068. #386	C₂²×C₂₃	semidirect
1069. #386	C₂²×C₂₃	semidirect
1070. #386	C₂²×C₂₃	semidirect
1071. #386	C₂²×C₂₃	semidirect
1072. #386	C₂²×C₂₃	semidirect
1073. #386	C₂²×C₂₃	semidirect
1074. #386	C₂²×C₂₃	semidirect
1075. #386	C₂²×C₂₃	semidirect
1076. #386	C₂²×C₂₃	semidirect
1077. #386	C₂²×C₂₃	semidirect
1078. #386	C₂²×C₂₃	semidirect
1079. #386	C₂²×C₂₃	semidirect
1080. #386	C₂²×C₂₃	semidirect
1081. #385	C₂²×C₂₃	semidirect
1082. #385	C₂²×C₂₃	semidirect
1083. #385	C₂²×C₂₃	semidirect
1084. #385	C₂²×C₂₃	semidirect
1085. #385	C₂²×C₂₃	semidirect
1086. #385	C₂²×C₂₃	semidirect
1087. #385	C₂²×C₂₃	semidirect
1088. #385	C₂²×C₂₃	semidirect
1089. #385	C₂²×C₂₃	semidirect
1090. #385	C₂²×C₂₃	semidirect
1091. #385	C₂²×C₂₃	semidirect
1092. #385	C₂²×C₂₃	semidirect
1093. #383	C₂²×C₂₃	semidirect
1094. #382	C₂²×C₂₃	semidirect
1095. #381	C₂²×C₂₃	semidirect
1096. #381	C₂²×C₂₃	semidirect
1097. #380	C₂²×C₂₃	semidirect
1098. #380	C₂²×C₂₃	semidirect
1099. #380	C₂²×C₂₃	semidirect
1100. #380	C₂²×C₂₃	semidirect
1102. #379	C₂²×C₂₃	semidirect
1103. #379	C₂²×C₂₃	semidirect
1104. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1105. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1106. C₄×C₂²⋊C₄	C₂²×C₂₃	semidirect
1107. C₂×#95	C₂²×C₂₃	semidirect
1108. C₂×#95	C₂²×C₂₃	semidirect
1209. C₄×D₄	D₄×C₂₃	semidirect
1332. C₂₃	#34990	direct (N × H)
1476. C₂²×C₄	C₂×D₄×C₂₃	semidirect
1519. C₄⋊C₄	C₂×D₄×C₂₃	semidirect
1575. C₂²⋊C₄	C₂×D₄×C₂₃	semidirect
1582. C₄²	C₂×D₄×C₂₃	semidirect
1825. C₂²	C₂₃×#538	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₂₃×#538	2
C₂²×C₄×D₄×C₂₃	2
C₂₃×#2852	2
C₂₃×#2850	2
C₂₃×#2849	2
C₂₃×#2847	2
C₂₃×#2636	2
C₂₃×#2635	2
C₂₃×#2631	2
C₂₃×#2630	2
C₂₃×#2481	2
C₂₃×#2472	2
C₂₃×#2467	2
C₂₃×#2459	2
C₂₃×#2456	2
C₂₃×#2450	2
C₂₃×#2444	2
C₂₃×#2443	2
C₂₃×#2437	2
C₂₃×#2424	2
C₂₃×#2418	2
C₂₃×#2410	2
C₂₃×#2403	2
C₂₃×#2325	2
C₂₃×#2321	2
C₂₃×#2318	2
C₄×C₂₃×#120	2
C₂×C₂₃×#386	2
#34990	23

Subgroups — C23×#34990 #19182616

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#34990 #19182616