Subgroups — C₂₃×#61681 #19209307

Order 5888.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3285	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3277	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂×C₂₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
35	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic
36	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
38	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic
39	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic
40	C₂²×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
42	C₂₃×#563	—	2	1	no	—
43	C₂₃×#560	—	2	1	no	—
44	C₂₃×#555	—	2	1	no	—
45	C₂₃×#553	C₂²	1	1	yes	characteristic
46	C₂₃×#553	C₂²	1	1	yes	characteristic
47	C₂₃×#552	C₂²	1	1	yes	characteristic
48	C₂₃×#552	C₂²	1	1	yes	characteristic
49	C₂₃×#551	—	2	1	no	—
50	C₂₃×#550	—	2	1	no	—
51	C₂₃×#550	C₂²	1	1	yes	characteristic
52	C₂₃×#550	C₂²	1	1	yes	characteristic, complemented
53	D₄×Q₈×C₂₃	—	2	1	no	—
54	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#548	—	2	1	no	—
57	C₂₃×#548	—	2	1	no	—
58	C₂₃×#548	C₂²	1	1	yes	characteristic
59	C₂₃×#548	C₂²	1	1	yes	characteristic
60	C₂₃×#548	C₂²	1	1	yes	characteristic
61	C₂₃×#548	C₂²	1	1	yes	characteristic
62	C₂₃×#548	C₂²	1	1	yes	characteristic, complemented
63	C₂₃×#548	C₂²	1	1	yes	characteristic, complemented
64	C₂₃×#546	C₂²	1	1	yes	characteristic
65	C₂₃×#546	C₂²	1	1	yes	characteristic
66	C₂₃×#540	—	2	1	no	—
67	C₂₃×#540	—	2	1	no	—
68	C₂₃×#538	—	2	1	no	—
69	C₂₃×#538	—	2	1	no	—
70	C₂₃×#537	—	2	1	no	—
71	C₂₃×#537	—	2	1	no	—
72	C₂₃×#537	C₂²	1	1	yes	characteristic
73	C₂₃×#537	C₂²	1	1	yes	characteristic
74	C₂₃×#537	C₂²	1	1	yes	characteristic
75	C₂₃×#537	C₂²	1	1	yes	characteristic, complemented
76	C₂₃×#536	C₂²	1	1	yes	characteristic
77	C₂₃×#535	C₂²	1	1	yes	characteristic
78	C₂₃×#532	—	2	1	no	—
79	C₂₃×#532	—	2	1	no	—
80	C₂₃×#532	C₂²	1	1	yes	characteristic
81	C₂₃×#532	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#529	C₂²	1	1	yes	characteristic
83	C₂₃×#529	C₂²	1	1	yes	characteristic
84	C₂×C₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#497	C₂²	1	1	yes	characteristic
86	C₂₃×#496	C₂²	1	1	yes	characteristic
87	C₂₃×#495	C₂²	1	1	yes	characteristic
88	C₂₃×#495	C₂²	1	1	yes	characteristic
89	C₂₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#490	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#485	C₂²	1	1	yes	characteristic
94	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#482	C₂²	1	1	yes	characteristic
100	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#481	C₂²	1	1	yes	characteristic
102	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#480	C₂²	1	1	yes	characteristic
104	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#470	C₂²	1	1	yes	characteristic
110	C₂₃×#470	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#469	C₂²	1	1	yes	characteristic
112	C₂₃×#469	C₂²	1	1	yes	characteristic
113	C₂₃×#468	C₂²	1	1	yes	characteristic
114	C₂₃×#468	C₂²	1	1	yes	characteristic
115	C₂₃×#468	C₂²	1	1	yes	characteristic
116	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
117	C₂₃×#467	C₂²	1	1	yes	characteristic
118	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#466	C₂²	1	1	yes	characteristic
120	C₂₃×#466	C₂²	1	1	yes	characteristic
121	C₂₃×#465	C₂²	1	1	yes	characteristic
122	C₂₃×#465	C₂²	1	1	yes	characteristic
123	C₂₃×#465	C₂²	1	1	yes	characteristic
124	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#464	C₂²	1	1	yes	characteristic
126	C₂₃×#464	C₂²	1	1	yes	characteristic
127	C₂₃×#464	C₂²	1	1	yes	characteristic
128	C₂₃×#464	C₂²	1	1	yes	characteristic
129	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#463	C₂²	1	1	yes	characteristic
132	C₂₃×#463	C₂²	1	1	yes	characteristic
133	C₂₃×#462	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#461	C₂²	1	1	yes	characteristic
135	C₂₃×#460	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#459	C₂²	1	1	yes	characteristic
137	C₂₃×#452	C₂²	1	1	yes	characteristic
138	C₂₃×#452	C₂²	1	1	yes	characteristic
139	C₂₃×#452	C₂²	1	1	yes	characteristic
140	C₂₃×#452	C₂²	1	1	yes	characteristic
141	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#451	C₂²	1	1	yes	characteristic
148	C₂₃×#451	C₂²	1	1	yes	characteristic
149	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#450	C₂²	1	1	yes	characteristic
155	C₂₃×#449	C₂²	1	1	yes	characteristic
156	C₂₃×#449	C₂²	1	1	yes	characteristic
157	C₂₃×#449	C₂²	1	1	yes	characteristic
158	C₂₃×#449	C₂²	1	1	yes	characteristic
159	C₂₃×#449	C₂²	1	1	yes	characteristic
160	C₂₃×#449	C₂²	1	1	yes	characteristic
161	C₂₃×#449	C₂²	1	1	yes	characteristic
162	C₂₃×#449	C₂²	1	1	yes	characteristic
163	C₂₃×#449	C₂²	1	1	yes	characteristic
164	C₂₃×#449	C₂²	1	1	yes	characteristic
165	C₂₃×#448	C₂²	1	1	yes	characteristic
166	C₂₃×#448	C₂²	1	1	yes	characteristic
167	C₂₃×#448	C₂²	1	1	yes	characteristic
168	C₂₃×#448	C₂²	1	1	yes	characteristic
169	C₂₃×#448	C₂²	1	1	yes	characteristic
170	C₂₃×#448	C₂²	1	1	yes	characteristic
171	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#447	C₂²	1	1	yes	characteristic
173	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#440	C₂²	1	1	yes	characteristic
176	C₂₃×#440	C₂²	1	1	yes	characteristic
177	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×Q₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
181	C₂₃×#436	C₂²	1	1	yes	characteristic
182	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₂₃×#435	C₂²	1	1	yes	characteristic
184	C₂₃×#435	C₂²	1	1	yes	characteristic
185	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
186	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
188	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
189	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
190	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#419	C₂²	1	1	yes	characteristic
192	C₂₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#416	C₂²	1	1	yes	characteristic
196	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂₃×#408	C₂²	1	1	yes	characteristic
200	C₂₃×#408	C₂²	1	1	yes	characteristic
201	C₂₃×#408	C₂²	1	1	yes	characteristic, complemented
202	C₂₃×#408	C₂²	1	1	yes	characteristic, complemented
203	C₂₃×2₋¹⁺⁴	—	4	2	no	—
204	C₂₃×2₋¹⁺⁴	—	4	2	no	—
205	C₂₃×2₋¹⁺⁴	—	4	2	no	—
206	C₂₃×2₋¹⁺⁴	—	4	2	no	—
207	C₂×#41×C₂₃	—	2	1	no	—
208	C₂×#41×C₂₃	—	2	1	no	—
209	C₂×#41×C₂₃	—	2	1	no	—
210	C₂×#41×C₂₃	—	2	1	no	—
211	C₂×#41×C₂₃	—	2	1	no	—
212	C₂×#41×C₂₃	—	2	1	no	—
213	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
214	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
221	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
222	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₂₃	—	2	1	no	—
224	C₂²×Q₈×C₂₃	—	2	1	no	—
225	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
227	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
228	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
229	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
230	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂₃×#137	—	4	2	no	—
233	C₂₃×#137	—	4	2	no	—
234	C₂₃×#137	—	4	2	no	—
235	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
236	C₂₃×#135	—	4	2	no	—
237	C₂₃×#135	—	4	2	no	—
238	C₂×Q₁₆×C₂₃	—	4	2	no	—
239	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
240	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
241	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
242	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
245	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
246	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
247	C₂×SD₁₆×C₂₃	—	4	2	no	—
248	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
258	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
260	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
261	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
262	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
263	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
264	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
265	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
266	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
267	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
268	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
272	C₂₃×C₄⋊Q₈	—	2	1	no	—
273	C₂₃×C₄⋊Q₈	—	2	1	no	—
274	C₂₃×C₄⋊Q₈	—	2	1	no	—
275	C₂₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
276	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
277	C₂₃×#127	—	2	1	no	—
278	C₂₃×#127	—	2	1	no	—
279	C₂₃×#127	—	2	1	no	—
280	C₂₃×#127	D₄	1	1	yes	characteristic
281	C₂₃×#127	C₂³	1	1	yes	characteristic
282	C₂₃×#126	—	2	1	no	—
283	C₂₃×#126	—	2	1	no	—
284	C₂₃×#126	—	2	1	no	—
285	C₂₃×#126	—	2	1	no	—
286	C₂₃×#126	—	2	1	no	—
287	C₂₃×#126	—	2	1	no	—
288	C₂₃×#125	—	2	1	no	—
289	C₂₃×#125	—	2	1	no	—
290	C₂₃×#125	C₂³	1	1	yes	characteristic
291	C₂₃×#125	C₂³	1	1	yes	characteristic
292	C₂₃×#124	—	2	1	no	—
293	C₂₃×#124	—	2	1	no	—
294	C₂₃×#124	—	2	1	no	—
295	C₂₃×#124	—	2	1	no	—
296	C₂₃×#124	—	2	1	no	—
297	C₂₃×#124	—	2	1	no	—
298	C₂₃×#124	—	2	1	no	—
299	C₂₃×#124	—	2	1	no	—
300	C₂₃×#124	D₄	1	1	yes	characteristic
301	C₂₃×#124	D₄	1	1	yes	characteristic
302	C₂₃×#124	C₂³	1	1	yes	characteristic
303	C₂₃×#124	C₂³	1	1	yes	characteristic
304	C₂₃×#124	C₂³	1	1	yes	characteristic
305	C₂₃×#124	C₂³	1	1	yes	characteristic
306	C₂₃×#123	—	2	1	no	—
307	C₂₃×#123	—	2	1	no	—
308	C₂₃×#123	—	2	1	no	—
309	C₂₃×#123	—	2	1	no	—
310	C₂₃×#123	—	2	1	no	—
311	C₂₃×#123	—	2	1	no	—
312	C₂₃×#123	—	2	1	no	—
313	C₂₃×#123	—	2	1	no	—
314	C₂₃×#123	—	2	1	no	—
315	C₂₃×#123	—	2	1	no	—
316	C₂₃×C₂²⋊Q₈	—	2	1	no	—
317	C₂₃×C₂²⋊Q₈	—	2	1	no	—
318	C₂₃×C₂²⋊Q₈	—	2	1	no	—
319	C₂₃×C₂²⋊Q₈	—	2	1	no	—
320	C₂₃×C₂²⋊Q₈	—	2	1	no	—
321	C₂₃×C₂²⋊Q₈	—	2	1	no	—
322	C₂₃×C₂²⋊Q₈	—	2	1	no	—
323	C₂₃×C₂²⋊Q₈	—	2	1	no	—
324	C₂₃×C₂²⋊Q₈	—	2	1	no	—
325	C₂₃×C₂²⋊Q₈	—	2	1	no	—
326	C₂₃×C₂²⋊Q₈	—	2	1	no	—
327	C₂₃×C₂²⋊Q₈	—	2	1	no	—
328	C₂₃×C₂²⋊Q₈	—	2	1	no	—
329	C₂₃×C₂²⋊Q₈	—	2	1	no	—
330	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₂₃×#121	—	2	1	no	—
341	C₂₃×#121	—	2	1	no	—
342	C₂₃×#121	—	2	1	no	—
343	C₂₃×#121	—	2	1	no	—
344	C₂₃×#121	—	2	1	no	—
345	C₂₃×#121	—	2	1	no	—
346	C₂₃×#121	—	2	1	no	—
347	C₂₃×#121	—	2	1	no	—
348	C₂₃×#121	—	2	1	no	—
349	C₂₃×#121	—	2	1	no	—
350	C₂₃×#121	—	2	1	no	—
351	C₂₃×#121	—	2	1	no	—
352	C₂₃×#121	—	2	1	no	—
353	C₂₃×#121	—	2	1	no	—
354	C₂₃×#121	—	2	1	no	—
355	C₂₃×#121	—	2	1	no	—
356	C₂₃×#121	—	2	1	no	—
357	C₂₃×#121	—	2	1	no	—
358	C₂₃×#121	—	2	1	no	—
359	C₂₃×#121	—	2	1	no	—
360	C₂₃×#121	—	2	1	no	—
361	C₂₃×#121	—	2	1	no	—
362	C₂₃×#121	—	2	1	no	—
363	C₂₃×#121	—	2	1	no	—
364	C₂₃×#121	—	2	1	no	—
365	C₂₃×#121	—	2	1	no	—
366	C₂₃×#121	—	2	1	no	—
367	C₂₃×#121	—	2	1	no	—
368	C₂₃×#121	D₄	1	1	yes	characteristic
369	C₂₃×#121	D₄	1	1	yes	characteristic
370	C₂₃×#121	D₄	1	1	yes	characteristic
371	C₂₃×#121	D₄	1	1	yes	characteristic
372	C₂₃×#121	C₂³	1	1	yes	characteristic
373	C₂₃×#121	C₂³	1	1	yes	characteristic
374	C₂₃×#121	C₂³	1	1	yes	characteristic
375	C₂₃×#121	C₂³	1	1	yes	characteristic
376	C₂₃×#121	C₂³	1	1	yes	characteristic
377	C₂₃×#121	C₂³	1	1	yes	characteristic
378	C₂₃×#121	C₂³	1	1	yes	characteristic
379	C₂₃×#121	C₂³	1	1	yes	characteristic
380	C₂₃×#121	C₂³	1	1	yes	characteristic
381	C₂₃×#121	C₂³	1	1	yes	characteristic
382	C₂₃×#120	—	2	1	no	—
383	C₂₃×#120	—	2	1	no	—
384	C₂₃×#120	—	2	1	no	—
385	C₂₃×#120	—	2	1	no	—
386	C₄×Q₈×C₂₃	—	2	1	no	—
387	C₄×Q₈×C₂₃	—	2	1	no	—
388	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
389	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
392	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₂₃	—	2	1	no	—
395	C₄×D₄×C₂₃	—	2	1	no	—
396	C₄×D₄×C₂₃	—	2	1	no	—
397	C₄×D₄×C₂₃	—	2	1	no	—
398	C₄×D₄×C₂₃	—	2	1	no	—
399	C₄×D₄×C₂₃	—	2	1	no	—
400	C₄×D₄×C₂₃	—	2	1	no	—
401	C₄×D₄×C₂₃	—	2	1	no	—
402	C₄×D₄×C₂₃	—	2	1	no	—
403	C₄×D₄×C₂₃	—	2	1	no	—
404	C₄×D₄×C₂₃	—	2	1	no	—
405	C₄×D₄×C₂₃	—	2	1	no	—
406	C₄×D₄×C₂₃	—	2	1	no	—
407	C₄×D₄×C₂₃	—	2	1	no	—
408	C₄×D₄×C₂₃	—	2	1	no	—
409	C₄×D₄×C₂₃	—	2	1	no	—
410	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
412	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
413	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
414	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
415	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
416	C₂₃×#117	—	2	1	no	—
417	C₂₃×#117	—	2	1	no	—
418	C₂₃×#117	—	2	1	no	—
419	C₂₃×#117	—	2	1	no	—
420	C₂₃×#117	C₂³	1	1	yes	characteristic
421	C₂₃×#117	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
423	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
424	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
425	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
426	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
427	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
428	C₂×C₄²×C₂₃	—	2	1	no	—
429	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
430	C₂₃×#107	C₂³	1	1	yes	characteristic
431	C₂₃×#107	C₂³	1	1	yes	characteristic
432	C₂₃×#107	C₂³	1	1	yes	characteristic
433	C₂₃×#107	C₂³	1	1	yes	characteristic
434	C₂₃×#106	C₂³	1	1	yes	characteristic
435	C₂₃×#106	C₂³	1	1	yes	characteristic
436	C₂₃×#106	C₂³	1	1	yes	characteristic
437	C₂₃×#106	C₂³	1	1	yes	characteristic
438	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₂₃×#103	C₂³	1	1	yes	characteristic
443	C₂₃×#103	C₂³	1	1	yes	characteristic
444	C₂₃×#103	C₂³	1	1	yes	characteristic
445	C₂₃×#103	C₂³	1	1	yes	characteristic
446	C₂₃×#103	C₂³	1	1	yes	characteristic
447	C₂₃×#103	C₂³	1	1	yes	characteristic
448	C₂₃×#103	C₂³	1	1	yes	characteristic
449	C₂₃×#103	C₂³	1	1	yes	characteristic
450	C₂₃×#103	C₂³	1	1	yes	characteristic
451	C₂₃×#103	C₂³	1	1	yes	characteristic
452	C₂₃×#103	C₂³	1	1	yes	characteristic
453	C₂₃×#103	C₂³	1	1	yes	characteristic
454	C₂₃×#103	C₂³	1	1	yes	characteristic
455	C₂₃×#103	C₂³	1	1	yes	characteristic
456	C₂₃×#103	C₂³	1	1	yes	characteristic
457	C₂₃×#103	C₂³	1	1	yes	characteristic
458	C₂₃×#103	C₂³	1	1	yes	characteristic
459	C₂₃×#103	C₂³	1	1	yes	characteristic
460	C₂₃×#103	C₂³	1	1	yes	characteristic
461	C₂₃×#103	C₂³	1	1	yes	characteristic
462	C₂₃×#102	C₂³	1	1	yes	characteristic
463	C₂₃×#102	C₂³	1	1	yes	characteristic
464	C₂₃×#102	C₂³	1	1	yes	characteristic
465	C₂₃×#102	C₂³	1	1	yes	characteristic
466	C₂₃×#102	C₂³	1	1	yes	characteristic
467	C₂₃×#102	C₂³	1	1	yes	characteristic
468	C₂₃×#102	C₂³	1	1	yes	characteristic
469	C₂₃×#102	C₂³	1	1	yes	characteristic
470	C₂₃×#102	C₂³	1	1	yes	characteristic
471	C₂₃×#102	C₂³	1	1	yes	characteristic
472	C₂₃×#102	C₂³	1	1	yes	characteristic
473	C₂₃×#102	C₂³	1	1	yes	characteristic
474	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₂₃×#97	C₂³	1	1	yes	characteristic
487	C₂₃×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
490	C₂⁴×C₂₃	—	2	1	no	—
491	#41×C₂₃	—	2	2	no	—
492	#41×C₂₃	—	2	2	no	—
493	#41×C₂₃	—	2	2	no	—
494	#41×C₂₃	—	2	2	no	—
495	#41×C₂₃	—	4	1	no	—
496	#41×C₂₃	—	4	1	no	—
497	#41×C₂₃	—	4	1	no	—
498	#41×C₂₃	—	4	1	no	—
499	#41×C₂₃	—	4	1	no	—
500	#41×C₂₃	—	4	1	no	—
501	#41×C₂₃	—	4	1	no	—
502	#41×C₂₃	—	4	1	no	—
503	#41×C₂₃	—	4	1	no	—
504	#41×C₂₃	—	4	1	no	—
505	#41×C₂₃	—	4	1	no	—
506	#41×C₂₃	—	4	1	no	—
507	#41×C₂₃	—	4	4	no	—
508	#41×C₂₃	—	4	4	no	—
509	#41×C₂₃	—	4	4	no	—
510	#41×C₂₃	—	4	4	no	—
511	#41×C₂₃	—	4	1	no	—
512	#41×C₂₃	—	4	1	no	—
513	#41×C₂₃	—	4	1	no	—
514	#41×C₂₃	—	4	1	no	—
515	#41×C₂₃	—	4	4	no	—
516	#41×C₂₃	—	4	4	no	—
517	C₂×Q₈×C₂₃	—	2	2	no	—
518	C₂×Q₈×C₂₃	—	2	2	no	—
519	C₂×Q₈×C₂₃	—	2	1	no	—
520	C₂×Q₈×C₂₃	—	2	1	no	—
521	C₂×Q₈×C₂₃	—	2	1	no	—
522	C₂×Q₈×C₂₃	—	2	1	no	—
523	C₂×Q₈×C₂₃	—	2	1	no	—
524	C₂×Q₈×C₂₃	—	2	1	no	—
525	C₂×Q₈×C₂₃	—	2	2	no	—
526	C₂×Q₈×C₂₃	—	2	2	no	—
527	C₂×Q₈×C₂₃	—	2	2	no	—
528	C₂×Q₈×C₂₃	—	2	2	no	—
529	C₂×Q₈×C₂₃	—	4	1	no	—
530	C₂×Q₈×C₂₃	—	4	1	no	—
531	C₂×Q₈×C₂₃	—	4	1	no	—
532	C₂×Q₈×C₂₃	—	4	1	no	—
533	C₂×Q₈×C₂₃	—	4	1	no	—
534	C₂×Q₈×C₂₃	—	4	1	no	—
535	C₂×Q₈×C₂₃	—	4	4	no	—
536	C₂×Q₈×C₂₃	—	4	4	no	—
537	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
538	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
539	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
540	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
541	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
542	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
543	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
544	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
545	C₂×D₄×C₂₃	—	2	1	no	—
546	C₂×D₄×C₂₃	—	2	1	no	—
547	C₂×D₄×C₂₃	—	2	1	no	—
548	C₂×D₄×C₂₃	—	2	1	no	—
549	C₂×D₄×C₂₃	—	2	1	no	—
550	C₂×D₄×C₂₃	—	2	1	no	—
551	C₂×D₄×C₂₃	—	2	1	no	—
552	C₂×D₄×C₂₃	—	2	1	no	—
553	C₂×D₄×C₂₃	—	2	1	no	—
554	C₂×D₄×C₂₃	—	2	1	no	—
555	C₂×D₄×C₂₃	—	2	1	no	—
556	C₂×D₄×C₂₃	—	2	1	no	—
557	C₂×D₄×C₂₃	—	2	1	no	—
558	C₂×D₄×C₂₃	—	2	1	no	—
559	C₂×D₄×C₂₃	—	2	1	no	—
560	C₂×D₄×C₂₃	—	2	1	no	—
561	C₂×D₄×C₂₃	—	2	1	no	—
562	C₂×D₄×C₂₃	—	2	1	no	—
563	C₂×D₄×C₂₃	—	2	1	no	—
564	C₂×D₄×C₂₃	—	2	1	no	—
565	C₂×D₄×C₂₃	—	2	1	no	—
566	C₂×D₄×C₂₃	—	4	1	no	—
567	C₂×D₄×C₂₃	—	4	1	no	—
568	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
569	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
570	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
571	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
579	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
580	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₂₃	—	2	1	no	—
583	C₂²×C₄×C₂₃	—	2	1	no	—
584	C₂²×C₄×C₂₃	—	2	1	no	—
585	C₂²×C₄×C₂₃	—	2	1	no	—
586	C₂²×C₄×C₂₃	—	2	1	no	—
587	C₂²×C₄×C₂₃	—	2	1	no	—
588	C₂²×C₄×C₂₃	—	2	1	no	—
589	C₂²×C₄×C₂₃	—	2	1	no	—
590	C₂²×C₄×C₂₃	—	2	1	no	—
591	C₂²×C₄×C₂₃	—	2	1	no	—
592	C₂²×C₄×C₂₃	—	2	1	no	—
593	C₂²×C₄×C₂₃	—	2	1	no	—
594	C₂²×C₄×C₂₃	—	2	1	no	—
595	C₂²×C₄×C₂₃	—	2	1	no	—
596	C₂²×C₄×C₂₃	—	2	1	no	—
597	C₂²×C₄×C₂₃	—	2	1	no	—
598	C₂²×C₄×C₂₃	—	2	1	no	—
599	C₂²×C₄×C₂₃	—	2	1	no	—
600	C₂²×C₄×C₂₃	—	2	1	no	—
601	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
602	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
603	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
608	Q₁₆×C₂₃	—	2	2	no	—
609	Q₁₆×C₂₃	—	2	2	no	—
610	Q₁₆×C₂₃	—	2	2	no	—
611	Q₁₆×C₂₃	—	2	2	no	—
612	Q₁₆×C₂₃	—	4	1	no	—
613	Q₁₆×C₂₃	—	4	1	no	—
614	Q₁₆×C₂₃	—	4	1	no	—
615	Q₁₆×C₂₃	—	4	1	no	—
616	SD₁₆×C₂₃	—	2	2	no	—
617	SD₁₆×C₂₃	—	2	2	no	—
618	SD₁₆×C₂₃	—	2	2	no	—
619	SD₁₆×C₂₃	—	2	2	no	—
620	SD₁₆×C₂₃	—	4	1	no	—
621	SD₁₆×C₂₃	—	4	1	no	—
622	SD₁₆×C₂₃	—	4	1	no	—
623	SD₁₆×C₂₃	—	4	1	no	—
624	SD₁₆×C₂₃	—	4	1	no	—
625	SD₁₆×C₂₃	—	4	1	no	—
626	SD₁₆×C₂₃	—	4	1	no	—
627	SD₁₆×C₂₃	—	4	1	no	—
628	D₈×C₂₃	—	4	1	no	—
629	D₈×C₂₃	—	4	1	no	—
630	D₈×C₂₃	—	4	1	no	—
631	D₈×C₂₃	—	4	1	no	—
632	M₁₆×C₂₃	—	4	1	no	—
633	M₁₆×C₂₃	—	4	1	no	—
634	M₁₆×C₂₃	—	4	1	no	—
635	M₁₆×C₂₃	—	4	1	no	—
636	C₂×C₈×C₂₃	—	4	1	no	—
637	C₂×C₈×C₂₃	—	4	1	no	—
638	C₂×C₈×C₂₃	—	4	1	no	—
639	C₂×C₈×C₂₃	—	4	1	no	—
640	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
642	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
643	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₂₃	—	2	1	no	—
649	C₄⋊C₄×C₂₃	—	2	1	no	—
650	C₄⋊C₄×C₂₃	—	2	1	no	—
651	C₄⋊C₄×C₂₃	—	2	1	no	—
652	C₄⋊C₄×C₂₃	—	2	1	no	—
653	C₄⋊C₄×C₂₃	—	2	1	no	—
654	C₄⋊C₄×C₂₃	—	2	1	no	—
655	C₄⋊C₄×C₂₃	—	2	1	no	—
656	C₄⋊C₄×C₂₃	—	2	1	no	—
657	C₄⋊C₄×C₂₃	—	2	1	no	—
658	C₄⋊C₄×C₂₃	—	2	1	no	—
659	C₄⋊C₄×C₂₃	—	2	1	no	—
660	C₄⋊C₄×C₂₃	—	2	1	no	—
661	C₄⋊C₄×C₂₃	—	2	1	no	—
662	C₄⋊C₄×C₂₃	—	2	1	no	—
663	C₄⋊C₄×C₂₃	—	2	1	no	—
664	C₄⋊C₄×C₂₃	—	2	1	no	—
665	C₄⋊C₄×C₂₃	—	2	1	no	—
666	C₄⋊C₄×C₂₃	—	2	1	no	—
667	C₄⋊C₄×C₂₃	—	2	1	no	—
668	C₄⋊C₄×C₂₃	—	2	1	no	—
669	C₄⋊C₄×C₂₃	—	2	1	no	—
670	C₄⋊C₄×C₂₃	—	2	1	no	—
671	C₄⋊C₄×C₂₃	—	2	1	no	—
672	C₄⋊C₄×C₂₃	—	2	1	no	—
673	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
674	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
675	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
676	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
678	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
681	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
682	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
683	C₂²⋊C₄×C₂₃	—	2	1	no	—
684	C₂²⋊C₄×C₂₃	—	2	1	no	—
685	C₂²⋊C₄×C₂₃	—	2	1	no	—
686	C₂²⋊C₄×C₂₃	—	2	1	no	—
687	C₂²⋊C₄×C₂₃	—	2	1	no	—
688	C₂²⋊C₄×C₂₃	—	2	1	no	—
689	C₂²⋊C₄×C₂₃	—	2	1	no	—
690	C₂²⋊C₄×C₂₃	—	2	1	no	—
691	C₂²⋊C₄×C₂₃	—	2	1	no	—
692	C₂²⋊C₄×C₂₃	—	2	1	no	—
693	C₂²⋊C₄×C₂₃	—	2	1	no	—
694	C₂²⋊C₄×C₂₃	—	2	1	no	—
695	C₂²⋊C₄×C₂₃	—	2	1	no	—
696	C₂²⋊C₄×C₂₃	—	2	1	no	—
697	C₂²⋊C₄×C₂₃	—	2	1	no	—
698	C₂²⋊C₄×C₂₃	—	2	1	no	—
699	C₂²⋊C₄×C₂₃	—	2	1	no	—
700	C₂²⋊C₄×C₂₃	—	2	1	no	—
701	C₂²⋊C₄×C₂₃	—	2	1	no	—
702	C₂²⋊C₄×C₂₃	—	2	1	no	—
703	C₂²⋊C₄×C₂₃	—	2	1	no	—
704	C₂²⋊C₄×C₂₃	—	2	1	no	—
705	C₂²⋊C₄×C₂₃	—	2	1	no	—
706	C₂²⋊C₄×C₂₃	—	2	1	no	—
707	C₂²⋊C₄×C₂₃	—	2	1	no	—
708	C₂²⋊C₄×C₂₃	—	2	1	no	—
709	C₂²⋊C₄×C₂₃	—	2	1	no	—
710	C₂²⋊C₄×C₂₃	—	2	1	no	—
711	C₂²⋊C₄×C₂₃	—	2	1	no	—
712	C₂²⋊C₄×C₂₃	—	2	1	no	—
713	C₂²⋊C₄×C₂₃	—	2	1	no	—
714	C₂²⋊C₄×C₂₃	—	2	1	no	—
715	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
716	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
720	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
723	C₄²×C₂₃	—	2	1	no	—
724	C₄²×C₂₃	—	2	1	no	—
725	C₄²×C₂₃	—	2	1	no	—
726	C₄²×C₂₃	—	2	1	no	—
727	C₄²×C₂₃	—	2	1	no	—
728	C₄²×C₂₃	—	2	1	no	—
729	C₄²×C₂₃	—	2	1	no	—
730	C₄²×C₂₃	—	2	1	no	—
731	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
732	C₄²×C₂₃	C₂×D₄	1	1	yes	characteristic
733	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
734	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
735	#61681	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
736	C₂³×C₂₃	—	2	1	no	—
737	C₂³×C₂₃	—	2	1	no	—
738	C₂³×C₂₃	—	2	1	no	—
739	C₂³×C₂₃	—	2	1	no	—
740	C₂³×C₂₃	—	8	1	no	—
741	C₂³×C₂₃	—	8	1	no	—
742	C₂³×C₂₃	—	8	1	no	—
743	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
744	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
745	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
746	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
747	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
748	Q₈×C₂₃	—	2	4	no	—
749	Q₈×C₂₃	—	2	1	no	—
750	Q₈×C₂₃	—	2	1	no	—
751	Q₈×C₂₃	—	2	1	no	—
752	Q₈×C₂₃	—	2	1	no	—
753	Q₈×C₂₃	—	2	1	no	—
754	Q₈×C₂₃	—	2	1	no	—
755	Q₈×C₂₃	—	2	1	no	—
756	Q₈×C₂₃	—	2	1	no	—
757	Q₈×C₂₃	—	2	1	no	—
758	Q₈×C₂₃	—	2	1	no	—
759	Q₈×C₂₃	—	4	1	no	—
760	Q₈×C₂₃	—	4	1	no	—
761	Q₈×C₂₃	—	4	2	no	—
762	Q₈×C₂₃	—	4	2	no	—
763	Q₈×C₂₃	—	4	2	no	—
764	Q₈×C₂₃	—	4	2	no	—
765	Q₈×C₂₃	—	8	1	no	—
766	Q₈×C₂₃	H(5,𝔽₂)	1	2	yes	—
767	Q₈×C₂₃	H(5,𝔽₂)	1	2	yes	—
768	D₄×C₂₃	—	2	1	no	—
769	D₄×C₂₃	—	2	1	no	—
770	D₄×C₂₃	—	2	1	no	—
771	D₄×C₂₃	—	2	1	no	—
772	D₄×C₂₃	—	2	1	no	—
773	D₄×C₂₃	—	2	1	no	—
774	D₄×C₂₃	—	2	1	no	—
775	D₄×C₂₃	—	2	1	no	—
776	D₄×C₂₃	—	4	1	no	—
777	D₄×C₂₃	—	4	1	no	—
778	D₄×C₂₃	—	4	1	no	—
779	D₄×C₂₃	—	4	1	no	—
780	D₄×C₂₃	—	4	1	no	—
781	D₄×C₂₃	—	4	1	no	—
782	D₄×C₂₃	—	4	1	no	—
783	D₄×C₂₃	—	4	1	no	—
784	D₄×C₂₃	—	4	1	no	—
785	D₄×C₂₃	—	4	1	no	—
786	D₄×C₂₃	—	4	2	no	—
787	D₄×C₂₃	—	4	2	no	—
788	D₄×C₂₃	—	4	2	no	—
789	D₄×C₂₃	—	4	2	no	—
790	D₄×C₂₃	—	4	2	no	—
791	D₄×C₂₃	—	4	2	no	—
792	D₄×C₂₃	—	4	2	no	—
793	D₄×C₂₃	—	8	1	no	—
794	D₄×C₂₃	—	8	1	no	—
795	D₄×C₂₃	—	8	1	no	—
796	D₄×C₂₃	—	8	1	no	—
797	D₄×C₂₃	—	8	1	no	—
798	D₄×C₂₃	—	8	1	no	—
799	D₄×C₂₃	—	8	1	no	—
800	D₄×C₂₃	—	8	1	no	—
801	D₄×C₂₃	—	8	1	no	—
802	D₄×C₂₃	—	8	1	no	—
803	D₄×C₂₃	—	8	1	no	—
804	D₄×C₂₃	—	8	1	no	—
805	D₄×C₂₃	—	8	1	no	—
806	D₄×C₂₃	—	8	1	no	—
807	C₂×C₄×C₂₃	—	2	4	no	—
808	C₂×C₄×C₂₃	—	2	1	no	—
809	C₂×C₄×C₂₃	—	2	1	no	—
810	C₂×C₄×C₂₃	—	2	1	no	—
811	C₂×C₄×C₂₃	—	2	1	no	—
812	C₂×C₄×C₂₃	—	2	1	no	—
813	C₂×C₄×C₂₃	—	2	1	no	—
814	C₂×C₄×C₂₃	—	2	1	no	—
815	C₂×C₄×C₂₃	—	2	1	no	—
816	C₂×C₄×C₂₃	—	2	1	no	—
817	C₂×C₄×C₂₃	—	2	1	no	—
818	C₂×C₄×C₂₃	—	2	1	no	—
819	C₂×C₄×C₂₃	—	2	1	no	—
820	C₂×C₄×C₂₃	—	2	1	no	—
821	C₂×C₄×C₂₃	—	2	1	no	—
822	C₂×C₄×C₂₃	—	2	1	no	—
823	C₂×C₄×C₂₃	—	2	1	no	—
824	C₂×C₄×C₂₃	—	2	1	no	—
825	C₂×C₄×C₂₃	—	2	1	no	—
826	C₂×C₄×C₂₃	—	2	1	no	—
827	C₂×C₄×C₂₃	—	2	1	no	—
828	C₂×C₄×C₂₃	—	2	1	no	—
829	C₂×C₄×C₂₃	—	2	1	no	—
830	C₂×C₄×C₂₃	—	4	1	no	—
831	C₂×C₄×C₂₃	—	4	1	no	—
832	C₂×C₄×C₂₃	—	4	2	no	—
833	C₂×C₄×C₂₃	—	4	2	no	—
834	C₂×C₄×C₂₃	—	4	2	no	—
835	C₂×C₄×C₂₃	—	4	2	no	—
836	C₂×C₄×C₂₃	—	4	2	no	—
837	C₂×C₄×C₂₃	—	4	2	no	—
838	C₂×C₄×C₂₃	—	4	2	no	—
839	C₂×C₄×C₂₃	—	4	2	no	—
840	C₂×C₄×C₂₃	—	4	2	no	—
841	C₂×C₄×C₂₃	—	4	2	no	—
842	C₂×C₄×C₂₃	—	8	1	no	—
843	C₂×C₄×C₂₃	—	8	1	no	—
844	C₂×C₄×C₂₃	—	8	1	no	—
845	C₂×C₄×C₂₃	—	8	1	no	—
846	C₂×C₄×C₂₃	—	8	1	no	—
847	C₂×C₄×C₂₃	—	8	1	no	—
848	C₂×C₄×C₂₃	—	8	1	no	—
849	C₂×C₄×C₂₃	—	8	1	no	—
850	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
854	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
860	C₈×C₂₃	—	2	1	no	—
861	C₈×C₂₃	—	2	1	no	—
862	C₈×C₂₃	—	2	1	no	—
863	C₈×C₂₃	—	2	1	no	—
864	C₈×C₂₃	—	2	1	no	—
865	C₈×C₂₃	—	2	1	no	—
866	C₈×C₂₃	—	2	1	no	—
867	C₈×C₂₃	—	2	1	no	—
868	#3551	C₂×C₂₃	1	1	yes	characteristic, complemented
869	#3497	C₂×C₂₃	1	1	yes	characteristic, complemented
870	#3327	C₂×C₂₃	1	1	yes	characteristic, complemented
871	#3326	C₂×C₂₃	1	1	yes	characteristic, complemented
872	#3320	C₂×C₂₃	1	1	yes	characteristic, complemented
873	#3317	C₂×C₂₃	1	1	yes	characteristic, complemented
874	#3312	C₂×C₂₃	1	1	yes	characteristic, complemented
875	#3309	C₂×C₂₃	1	1	yes	characteristic, complemented
876	#3301	C₂×C₂₃	1	1	yes	characteristic, complemented
877	#3300	C₂×C₂₃	1	1	yes	characteristic, complemented
878	#3285	C₂×C₂₃	1	1	yes	characteristic, complemented
879	#3282	C₂×C₂₃	1	1	yes	characteristic, complemented
880	#3277	C₂×C₂₃	1	1	yes	characteristic, complemented
881	#3275	C₂×C₂₃	1	1	yes	characteristic, complemented
882	#3271	C₂×C₂₃	1	1	yes	characteristic, complemented
883	#3270	C₂×C₂₃	1	1	yes	characteristic, complemented
884	#3268	C₂×C₂₃	1	1	yes	characteristic, complemented
885	#3266	C₂×C₂₃	1	1	yes	characteristic, complemented
886	#3219	C₂×C₂₃	1	1	yes	characteristic, complemented
887	#3212	C₂×C₂₃	1	1	yes	characteristic, complemented
888	#3204	C₂×C₂₃	1	1	yes	characteristic, complemented
889	#3203	C₂×C₂₃	1	1	yes	characteristic, complemented
890	#3201	C₂×C₂₃	1	1	yes	characteristic, complemented
891	#3198	C₂×C₂₃	1	1	yes	characteristic, complemented
892	#3117	C₂×C₂₃	1	1	yes	characteristic, complemented
893	#3108	C₂×C₂₃	1	1	yes	characteristic, complemented
894	#3013	C₂×C₂₃	1	1	yes	characteristic, complemented
895	#3013	C₂×C₂₃	1	1	yes	characteristic, complemented
896	#3011	C₂×C₂₃	1	1	yes	characteristic, complemented
897	#3010	C₂×C₂₃	1	1	yes	characteristic, complemented
898	#2981	C₂×C₂₃	1	1	yes	characteristic, complemented
899	C₂²×C₂₃	—	2	1	no	—
900	C₂²×C₂₃	—	2	1	no	—
901	C₂²×C₂₃	—	2	1	no	—
902	C₂²×C₂₃	—	2	1	no	—
903	C₂²×C₂₃	—	2	1	no	—
904	C₂²×C₂₃	—	2	1	no	—
905	C₂²×C₂₃	—	2	1	no	—
906	C₂²×C₂₃	—	2	1	no	—
907	C₂²×C₂₃	—	2	1	no	—
908	C₂²×C₂₃	—	2	1	no	—
909	C₂²×C₂₃	—	2	1	no	—
910	C₂²×C₂₃	—	2	1	no	—
911	C₂²×C₂₃	—	2	1	no	—
912	C₂²×C₂₃	—	2	1	no	—
913	C₂²×C₂₃	—	2	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	—	4	1	no	—
920	C₂²×C₂₃	—	4	1	no	—
921	C₂²×C₂₃	—	4	1	no	—
922	C₂²×C₂₃	—	4	1	no	—
923	C₂²×C₂₃	—	4	1	no	—
924	C₂²×C₂₃	—	4	1	no	—
925	C₂²×C₂₃	—	4	1	no	—
926	C₂²×C₂₃	—	16	2	no	—
927	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
928	C₄×C₂₃	—	2	1	no	—
929	C₄×C₂₃	—	2	1	no	—
930	C₄×C₂₃	—	2	1	no	—
931	C₄×C₂₃	—	2	1	no	—
932	C₄×C₂₃	—	2	2	no	—
933	C₄×C₂₃	—	2	2	no	—
934	C₄×C₂₃	—	2	1	no	—
935	C₄×C₂₃	—	2	1	no	—
936	C₄×C₂₃	—	2	1	no	—
937	C₄×C₂₃	—	2	1	no	—
938	C₄×C₂₃	—	2	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
950	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
951	C₂×2₋¹⁺⁴	C₂²×C₂₃	1	1	yes	characteristic
952	C₂×2₋¹⁺⁴	C₂²×C₂₃	1	1	yes	characteristic, complemented
953	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
954	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic
955	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic, complemented
956	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic
957	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic
958	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic
959	C₂²×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	C₂²×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
961	#563	—	2	1	no	—
962	#560	—	2	1	no	—
963	#555	—	2	1	no	—
964	#553	C₂²×C₂₃	1	1	yes	characteristic
965	#553	C₂²×C₂₃	1	1	yes	characteristic
966	#552	C₂²×C₂₃	1	1	yes	characteristic
967	#552	C₂²×C₂₃	1	1	yes	characteristic
968	#551	—	2	1	no	—
969	#550	—	2	1	no	—
970	#550	C₂²×C₂₃	1	1	yes	characteristic
971	#550	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	D₄×Q₈	—	2	1	no	—
973	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
974	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
975	#548	—	2	1	no	—
976	#548	—	2	1	no	—
977	#548	C₂²×C₂₃	1	1	yes	characteristic
978	#548	C₂²×C₂₃	1	1	yes	characteristic
979	#548	C₂²×C₂₃	1	1	yes	characteristic
980	#548	C₂²×C₂₃	1	1	yes	characteristic
981	#548	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#548	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#546	C₂²×C₂₃	1	1	yes	characteristic
984	#546	C₂²×C₂₃	1	1	yes	characteristic
985	#540	—	2	1	no	—
986	#540	—	2	1	no	—
987	#538	—	2	1	no	—
988	#538	—	2	1	no	—
989	#537	—	2	1	no	—
990	#537	—	2	1	no	—
991	#537	C₂²×C₂₃	1	1	yes	characteristic
992	#537	C₂²×C₂₃	1	1	yes	characteristic
993	#537	C₂²×C₂₃	1	1	yes	characteristic
994	#537	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	#536	C₂²×C₂₃	1	1	yes	characteristic
996	#535	C₂²×C₂₃	1	1	yes	characteristic
997	#532	—	2	1	no	—
998	#532	—	2	1	no	—
999	#532	C₂²×C₂₃	1	1	yes	characteristic
1000	#532	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#529	C₂²×C₂₃	1	1	yes	characteristic
1002	#529	C₂²×C₂₃	1	1	yes	characteristic
1003	C₂×C₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#497	C₂²×C₂₃	1	1	yes	characteristic
1005	#496	C₂²×C₂₃	1	1	yes	characteristic
1006	#495	C₂²×C₂₃	1	1	yes	characteristic
1007	#495	C₂²×C₂₃	1	1	yes	characteristic
1008	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#490	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#485	C₂²×C₂₃	1	1	yes	characteristic
1013	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	#484	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	#482	C₂²×C₂₃	1	1	yes	characteristic
1019	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	#481	C₂²×C₂₃	1	1	yes	characteristic
1021	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	#480	C₂²×C₂₃	1	1	yes	characteristic
1023	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	#470	C₂²×C₂₃	1	1	yes	characteristic
1029	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#469	C₂²×C₂₃	1	1	yes	characteristic
1031	#469	C₂²×C₂₃	1	1	yes	characteristic
1032	#468	C₂²×C₂₃	1	1	yes	characteristic
1033	#468	C₂²×C₂₃	1	1	yes	characteristic
1034	#468	C₂²×C₂₃	1	1	yes	characteristic
1035	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#467	C₂²×C₂₃	1	1	yes	characteristic
1037	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#466	C₂²×C₂₃	1	1	yes	characteristic
1039	#466	C₂²×C₂₃	1	1	yes	characteristic
1040	#465	C₂²×C₂₃	1	1	yes	characteristic
1041	#465	C₂²×C₂₃	1	1	yes	characteristic
1042	#465	C₂²×C₂₃	1	1	yes	characteristic
1043	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	#464	C₂²×C₂₃	1	1	yes	characteristic
1045	#464	C₂²×C₂₃	1	1	yes	characteristic
1046	#464	C₂²×C₂₃	1	1	yes	characteristic
1047	#464	C₂²×C₂₃	1	1	yes	characteristic
1048	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1049	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#463	C₂²×C₂₃	1	1	yes	characteristic
1051	#463	C₂²×C₂₃	1	1	yes	characteristic
1052	#462	C₂²×C₂₃	1	1	yes	characteristic, complemented
1053	#461	C₂²×C₂₃	1	1	yes	characteristic
1054	#460	C₂²×C₂₃	1	1	yes	characteristic, complemented
1055	#459	C₂²×C₂₃	1	1	yes	characteristic
1056	#452	C₂²×C₂₃	1	1	yes	characteristic
1057	#452	C₂²×C₂₃	1	1	yes	characteristic
1058	#452	C₂²×C₂₃	1	1	yes	characteristic
1059	#452	C₂²×C₂₃	1	1	yes	characteristic
1060	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1061	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1062	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1063	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1064	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1065	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1066	#451	C₂²×C₂₃	1	1	yes	characteristic
1067	#451	C₂²×C₂₃	1	1	yes	characteristic
1068	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1069	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1070	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1071	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1072	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1073	#450	C₂²×C₂₃	1	1	yes	characteristic
1074	#449	C₂²×C₂₃	1	1	yes	characteristic
1075	#449	C₂²×C₂₃	1	1	yes	characteristic
1076	#449	C₂²×C₂₃	1	1	yes	characteristic
1077	#449	C₂²×C₂₃	1	1	yes	characteristic
1078	#449	C₂²×C₂₃	1	1	yes	characteristic
1079	#449	C₂²×C₂₃	1	1	yes	characteristic
1080	#449	C₂²×C₂₃	1	1	yes	characteristic
1081	#449	C₂²×C₂₃	1	1	yes	characteristic
1082	#449	C₂²×C₂₃	1	1	yes	characteristic
1083	#449	C₂²×C₂₃	1	1	yes	characteristic
1084	#448	C₂²×C₂₃	1	1	yes	characteristic
1085	#448	C₂²×C₂₃	1	1	yes	characteristic
1086	#448	C₂²×C₂₃	1	1	yes	characteristic
1087	#448	C₂²×C₂₃	1	1	yes	characteristic
1088	#448	C₂²×C₂₃	1	1	yes	characteristic
1089	#448	C₂²×C₂₃	1	1	yes	characteristic
1090	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1091	#447	C₂²×C₂₃	1	1	yes	characteristic
1092	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1093	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1094	#440	C₂²×C₂₃	1	1	yes	characteristic
1095	#440	C₂²×C₂₃	1	1	yes	characteristic
1096	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1097	C₄×Q₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1098	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1099	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
1100	#436	C₂²×C₂₃	1	1	yes	characteristic
1101	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
1102	#435	C₂²×C₂₃	1	1	yes	characteristic
1103	#435	C₂²×C₂₃	1	1	yes	characteristic
1104	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1105	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
1107	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1108	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
1109	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1110	#419	C₂²×C₂₃	1	1	yes	characteristic
1111	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1112	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1113	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1114	#416	C₂²×C₂₃	1	1	yes	characteristic
1115	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1116	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1117	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1118	#408	C₂²×C₂₃	1	1	yes	characteristic
1119	#408	C₂²×C₂₃	1	1	yes	characteristic
1120	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1121	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1122	C₂×C₂₃	—	4	1	no	—
1123	C₂×C₂₃	—	4	1	no	—
1124	C₂×C₂₃	—	4	1	no	—
1125	C₂×C₂₃	—	4	1	no	—
1126	C₂×C₂₃	—	4	1	no	—
1127	C₂×C₂₃	—	8	1	no	—
1128	C₂×C₂₃	—	8	1	no	—
1129	C₂×C₂₃	—	8	1	no	—
1130	C₂×C₂₃	—	8	1	no	—
1131	C₂×C₂₃	#3484	1	1	yes	characteristic
1132	C₂×C₂₃	#3584	1	1	yes	characteristic
1133	C₂×C₂₃	#3586	1	1	yes	characteristic
1134	2₋¹⁺⁴	—	4	2	no	—
1135	2₋¹⁺⁴	—	4	2	no	—
1136	2₋¹⁺⁴	—	4	2	no	—
1137	2₋¹⁺⁴	—	4	2	no	—
1138	C₂×#41	—	2	1	no	—
1139	C₂×#41	—	2	1	no	—
1140	C₂×#41	—	2	1	no	—
1141	C₂×#41	—	2	1	no	—
1142	C₂×#41	—	2	1	no	—
1143	C₂×#41	—	2	1	no	—
1144	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1145	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1146	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1147	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1148	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1149	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1150	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1151	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1152	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1153	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1154	C₂²×Q₈	—	2	1	no	—
1155	C₂²×Q₈	—	2	1	no	—
1156	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1157	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1158	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1159	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1160	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1161	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1162	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1163	#137	—	4	2	no	—
1164	#137	—	4	2	no	—
1165	#137	—	4	2	no	—
1166	AGL(1,ℤ/8)	—	4	2	no	—
1167	#135	—	4	2	no	—
1168	#135	—	4	2	no	—
1169	C₂×Q₁₆	—	4	2	no	—
1170	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1171	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1172	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1176	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1177	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1178	C₂×SD₁₆	—	4	2	no	—
1179	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1183	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1184	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1185	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1186	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1187	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1188	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1191	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1192	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1193	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1194	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1195	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1196	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1197	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1198	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1199	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1200	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1201	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1202	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1203	C₄⋊Q₈	—	2	1	no	—
1204	C₄⋊Q₈	—	2	1	no	—
1205	C₄⋊Q₈	—	2	1	no	—
1206	C₄⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
1207	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1208	#127	—	2	1	no	—
1209	#127	—	2	1	no	—
1210	#127	—	2	1	no	—
1211	#127	D₄×C₂₃	1	1	yes	characteristic
1212	#127	C₂³×C₂₃	1	1	yes	characteristic
1213	#126	—	2	1	no	—
1214	#126	—	2	1	no	—
1215	#126	—	2	1	no	—
1216	#126	—	2	1	no	—
1217	#126	—	2	1	no	—
1218	#126	—	2	1	no	—
1219	#125	—	2	1	no	—
1220	#125	—	2	1	no	—
1221	#125	C₂³×C₂₃	1	1	yes	characteristic
1222	#125	C₂³×C₂₃	1	1	yes	characteristic
1223	#124	—	2	1	no	—
1224	#124	—	2	1	no	—
1225	#124	—	2	1	no	—
1226	#124	—	2	1	no	—
1227	#124	—	2	1	no	—
1228	#124	—	2	1	no	—
1229	#124	—	2	1	no	—
1230	#124	—	2	1	no	—
1231	#124	D₄×C₂₃	1	1	yes	characteristic
1232	#124	D₄×C₂₃	1	1	yes	characteristic
1233	#124	C₂³×C₂₃	1	1	yes	characteristic
1234	#124	C₂³×C₂₃	1	1	yes	characteristic
1235	#124	C₂³×C₂₃	1	1	yes	characteristic
1236	#124	C₂³×C₂₃	1	1	yes	characteristic
1237	#123	—	2	1	no	—
1238	#123	—	2	1	no	—
1239	#123	—	2	1	no	—
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1262	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1263	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1271	#121	—	2	1	no	—
1272	#121	—	2	1	no	—
1273	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	2	1	no	—
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	D₄×C₂₃	1	1	yes	characteristic
1300	#121	D₄×C₂₃	1	1	yes	characteristic
1301	#121	D₄×C₂₃	1	1	yes	characteristic
1302	#121	D₄×C₂₃	1	1	yes	characteristic
1303	#121	C₂³×C₂₃	1	1	yes	characteristic
1304	#121	C₂³×C₂₃	1	1	yes	characteristic
1305	#121	C₂³×C₂₃	1	1	yes	characteristic
1306	#121	C₂³×C₂₃	1	1	yes	characteristic
1307	#121	C₂³×C₂₃	1	1	yes	characteristic
1308	#121	C₂³×C₂₃	1	1	yes	characteristic
1309	#121	C₂³×C₂₃	1	1	yes	characteristic
1310	#121	C₂³×C₂₃	1	1	yes	characteristic
1311	#121	C₂³×C₂₃	1	1	yes	characteristic
1312	#121	C₂³×C₂₃	1	1	yes	characteristic
1313	#120	—	2	1	no	—
1314	#120	—	2	1	no	—
1315	#120	—	2	1	no	—
1316	#120	—	2	1	no	—
1317	C₄×Q₈	—	2	1	no	—
1318	C₄×Q₈	—	2	1	no	—
1319	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1320	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1321	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1322	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1323	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1324	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	2	1	no	—
1330	C₄×D₄	—	2	1	no	—
1331	C₄×D₄	—	2	1	no	—
1332	C₄×D₄	—	2	1	no	—
1333	C₄×D₄	—	2	1	no	—
1334	C₄×D₄	—	2	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	2	1	no	—
1340	C₄×D₄	—	2	1	no	—
1341	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1342	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1343	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1344	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1345	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1346	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1347	#117	—	2	1	no	—
1348	#117	—	2	1	no	—
1349	#117	—	2	1	no	—
1350	#117	—	2	1	no	—
1351	#117	C₂³×C₂₃	1	1	yes	characteristic
1352	#117	C₂³×C₂₃	1	1	yes	characteristic
1353	C₂×C₄⋊C₄	—	2	1	no	—
1354	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1355	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1356	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1357	C₂×C₂²⋊C₄	—	2	1	no	—
1358	C₂×C₂²⋊C₄	—	2	1	no	—
1359	C₂×C₄²	—	2	1	no	—
1360	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1361	#107	C₂³×C₂₃	1	1	yes	characteristic
1362	#107	C₂³×C₂₃	1	1	yes	characteristic
1363	#107	C₂³×C₂₃	1	1	yes	characteristic
1364	#107	C₂³×C₂₃	1	1	yes	characteristic
1365	#106	C₂³×C₂₃	1	1	yes	characteristic
1366	#106	C₂³×C₂₃	1	1	yes	characteristic
1367	#106	C₂³×C₂₃	1	1	yes	characteristic
1368	#106	C₂³×C₂₃	1	1	yes	characteristic
1369	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1370	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1371	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1372	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1373	#103	C₂³×C₂₃	1	1	yes	characteristic
1374	#103	C₂³×C₂₃	1	1	yes	characteristic
1375	#103	C₂³×C₂₃	1	1	yes	characteristic
1376	#103	C₂³×C₂₃	1	1	yes	characteristic
1377	#103	C₂³×C₂₃	1	1	yes	characteristic
1378	#103	C₂³×C₂₃	1	1	yes	characteristic
1379	#103	C₂³×C₂₃	1	1	yes	characteristic
1380	#103	C₂³×C₂₃	1	1	yes	characteristic
1381	#103	C₂³×C₂₃	1	1	yes	characteristic
1382	#103	C₂³×C₂₃	1	1	yes	characteristic
1383	#103	C₂³×C₂₃	1	1	yes	characteristic
1384	#103	C₂³×C₂₃	1	1	yes	characteristic
1385	#103	C₂³×C₂₃	1	1	yes	characteristic
1386	#103	C₂³×C₂₃	1	1	yes	characteristic
1387	#103	C₂³×C₂₃	1	1	yes	characteristic
1388	#103	C₂³×C₂₃	1	1	yes	characteristic
1389	#103	C₂³×C₂₃	1	1	yes	characteristic
1390	#103	C₂³×C₂₃	1	1	yes	characteristic
1391	#103	C₂³×C₂₃	1	1	yes	characteristic
1392	#103	C₂³×C₂₃	1	1	yes	characteristic
1393	#102	C₂³×C₂₃	1	1	yes	characteristic
1394	#102	C₂³×C₂₃	1	1	yes	characteristic
1395	#102	C₂³×C₂₃	1	1	yes	characteristic
1396	#102	C₂³×C₂₃	1	1	yes	characteristic
1397	#102	C₂³×C₂₃	1	1	yes	characteristic
1398	#102	C₂³×C₂₃	1	1	yes	characteristic
1399	#102	C₂³×C₂₃	1	1	yes	characteristic
1400	#102	C₂³×C₂₃	1	1	yes	characteristic
1401	#102	C₂³×C₂₃	1	1	yes	characteristic
1402	#102	C₂³×C₂₃	1	1	yes	characteristic
1403	#102	C₂³×C₂₃	1	1	yes	characteristic
1404	#102	C₂³×C₂₃	1	1	yes	characteristic
1405	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1406	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1407	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1408	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1410	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1411	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1413	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1415	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1417	#97	C₂³×C₂₃	1	1	yes	characteristic
1418	#97	C₂³×C₂₃	1	1	yes	characteristic
1419	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1420	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1421	C₂₃	#61681	1	1	yes	characteristic, direct product factor, Sylow
1422	C₂⁴	—	2	1	no	—
1423	#41	—	2	2	no	—
1424	#41	—	2	2	no	—
1425	#41	—	2	2	no	—
1426	#41	—	2	2	no	—
1427	#41	—	4	1	no	—
1428	#41	—	4	1	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	1	no	—
1434	#41	—	4	1	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	4	no	—
1440	#41	—	4	4	no	—
1441	#41	—	4	4	no	—
1442	#41	—	4	4	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	4	no	—
1448	#41	—	4	4	no	—
1449	C₂×Q₈	—	2	2	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	2	1	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	1	no	—
1455	C₂×Q₈	—	2	1	no	—
1456	C₂×Q₈	—	2	1	no	—
1457	C₂×Q₈	—	2	2	no	—
1458	C₂×Q₈	—	2	2	no	—
1459	C₂×Q₈	—	2	2	no	—
1460	C₂×Q₈	—	2	2	no	—
1461	C₂×Q₈	—	4	1	no	—
1462	C₂×Q₈	—	4	1	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	4	1	no	—
1465	C₂×Q₈	—	4	1	no	—
1466	C₂×Q₈	—	4	1	no	—
1467	C₂×Q₈	—	4	4	no	—
1468	C₂×Q₈	—	4	4	no	—
1469	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
1470	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
1471	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1473	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1474	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1475	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1476	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	4	1	no	—
1499	C₂×D₄	—	4	1	no	—
1500	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1501	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1502	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1503	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1504	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1505	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1506	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1507	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1508	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1509	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1510	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1511	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1512	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1513	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	2	1	no	—
1521	C₂²×C₄	—	2	1	no	—
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	2	1	no	—
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1537	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1540	Q₁₆	—	2	2	no	—
1541	Q₁₆	—	2	2	no	—
1542	Q₁₆	—	2	2	no	—
1543	Q₁₆	—	2	2	no	—
1544	Q₁₆	—	4	1	no	—
1545	Q₁₆	—	4	1	no	—
1546	Q₁₆	—	4	1	no	—
1547	Q₁₆	—	4	1	no	—
1548	SD₁₆	—	2	2	no	—
1549	SD₁₆	—	2	2	no	—
1550	SD₁₆	—	2	2	no	—
1551	SD₁₆	—	2	2	no	—
1552	SD₁₆	—	4	1	no	—
1553	SD₁₆	—	4	1	no	—
1554	SD₁₆	—	4	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	4	1	no	—
1557	SD₁₆	—	4	1	no	—
1558	SD₁₆	—	4	1	no	—
1559	SD₁₆	—	4	1	no	—
1560	D₈	—	4	1	no	—
1561	D₈	—	4	1	no	—
1562	D₈	—	4	1	no	—
1563	D₈	—	4	1	no	—
1564	M₁₆	—	4	1	no	—
1565	M₁₆	—	4	1	no	—
1566	M₁₆	—	4	1	no	—
1567	M₁₆	—	4	1	no	—
1568	C₂×C₈	—	4	1	no	—
1569	C₂×C₈	—	4	1	no	—
1570	C₂×C₈	—	4	1	no	—
1571	C₂×C₈	—	4	1	no	—
1572	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1573	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1574	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1575	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1576	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1577	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1578	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1579	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1609	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1610	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1611	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1612	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1613	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1614	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1648	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1649	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1650	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1651	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1652	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1653	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1654	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1655	C₄²	—	2	1	no	—
1656	C₄²	—	2	1	no	—
1657	C₄²	—	2	1	no	—
1658	C₄²	—	2	1	no	—
1659	C₄²	—	2	1	no	—
1660	C₄²	—	2	1	no	—
1661	C₄²	—	2	1	no	—
1662	C₄²	—	2	1	no	—
1663	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1664	C₄²	C₂×D₄×C₂₃	1	1	yes	characteristic
1665	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1666	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1667	C₂³	—	2	1	no	—
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	8	1	no	—
1672	C₂³	—	8	1	no	—
1673	C₂³	—	8	1	no	—
1674	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1675	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1676	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1677	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1678	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1679	Q₈	—	2	4	no	—
1680	Q₈	—	2	1	no	—
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	4	1	no	—
1691	Q₈	—	4	1	no	—
1692	Q₈	—	4	2	no	—
1693	Q₈	—	4	2	no	—
1694	Q₈	—	4	2	no	—
1695	Q₈	—	4	2	no	—
1696	Q₈	—	8	1	no	—
1697	Q₈	C₂₃×H(5,𝔽₂)	1	2	yes	—
1698	Q₈	C₂₃×H(5,𝔽₂)	1	2	yes	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	2	1	no	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	2	1	no	—
1707	D₄	—	4	1	no	—
1708	D₄	—	4	1	no	—
1709	D₄	—	4	1	no	—
1710	D₄	—	4	1	no	—
1711	D₄	—	4	1	no	—
1712	D₄	—	4	1	no	—
1713	D₄	—	4	1	no	—
1714	D₄	—	4	1	no	—
1715	D₄	—	4	1	no	—
1716	D₄	—	4	1	no	—
1717	D₄	—	4	2	no	—
1718	D₄	—	4	2	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	4	2	no	—
1722	D₄	—	4	2	no	—
1723	D₄	—	4	2	no	—
1724	D₄	—	8	1	no	—
1725	D₄	—	8	1	no	—
1726	D₄	—	8	1	no	—
1727	D₄	—	8	1	no	—
1728	D₄	—	8	1	no	—
1729	D₄	—	8	1	no	—
1730	D₄	—	8	1	no	—
1731	D₄	—	8	1	no	—
1732	D₄	—	8	1	no	—
1733	D₄	—	8	1	no	—
1734	D₄	—	8	1	no	—
1735	D₄	—	8	1	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	C₂×C₄	—	2	4	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	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	4	1	no	—
1762	C₂×C₄	—	4	1	no	—
1763	C₂×C₄	—	4	2	no	—
1764	C₂×C₄	—	4	2	no	—
1765	C₂×C₄	—	4	2	no	—
1766	C₂×C₄	—	4	2	no	—
1767	C₂×C₄	—	4	2	no	—
1768	C₂×C₄	—	4	2	no	—
1769	C₂×C₄	—	4	2	no	—
1770	C₂×C₄	—	4	2	no	—
1771	C₂×C₄	—	4	2	no	—
1772	C₂×C₄	—	4	2	no	—
1773	C₂×C₄	—	8	1	no	—
1774	C₂×C₄	—	8	1	no	—
1775	C₂×C₄	—	8	1	no	—
1776	C₂×C₄	—	8	1	no	—
1777	C₂×C₄	—	8	1	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	8	1	no	—
1780	C₂×C₄	—	8	1	no	—
1781	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1782	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1783	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1784	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1785	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1786	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1787	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1788	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1789	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1790	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	2	1	no	—
1797	C₈	—	2	1	no	—
1798	C₈	—	2	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	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	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	16	2	no	—
1827	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1828	C₄	—	2	2	no	—
1829	C₄	—	2	2	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	4	1	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	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1850	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1851	C₂	—	4	1	no	—
1852	C₂	—	4	1	no	—
1853	C₂	—	4	1	no	—
1854	C₂	—	4	1	no	—
1855	C₂	—	4	1	no	—
1856	C₂	—	8	1	no	—
1857	C₂	—	8	1	no	—
1858	C₂	—	8	1	no	—
1859	C₂	—	8	1	no	—
1860	C₂	C₂₃×#3484	1	1	yes	characteristic
1861	C₂	C₂₃×#3584	1	1	yes	characteristic
1862	C₂	C₂₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃ ◁ C₂₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3551	C₂	semidirect
2. C₂₃×#3497	C₂	semidirect
3. C₂₃×#3327	C₂	semidirect
4. C₂₃×#3326	C₂	semidirect
5. C₂₃×#3320	C₂	semidirect
6. C₂₃×#3317	C₂	semidirect
7. C₂₃×#3312	C₂	semidirect
8. C₂₃×#3309	C₂	semidirect
9. C₂₃×#3301	C₂	semidirect
10. C₂₃×#3300	C₂	semidirect
11. C₂₃×#3285	C₂	semidirect
12. C₂₃×#3282	C₂	semidirect
13. C₂₃×#3277	C₂	semidirect
14. C₂₃×#3275	C₂	semidirect
15. C₂₃×#3271	C₂	semidirect
16. C₂₃×#3270	C₂	semidirect
17. C₂₃×#3268	C₂	semidirect
18. C₂₃×#3266	C₂	semidirect
19. C₂₃×#3219	C₂	semidirect
20. C₂₃×#3212	C₂	semidirect
21. C₂₃×#3204	C₂	semidirect
22. C₂₃×#3203	C₂	semidirect
23. C₂₃×#3201	C₂	semidirect
24. C₂₃×#3198	C₂	semidirect
25. C₂₃×#3117	C₂	semidirect
26. C₂₃×#3108	C₂	semidirect
27. C₂₃×#3013	C₂	semidirect
28. C₂₃×#3013	C₂	semidirect
29. C₂₃×#3011	C₂	semidirect
30. C₂₃×#3010	C₂	semidirect
31. C₂₃×#2981	C₂	semidirect
33. C₂×C₂₃×2₋¹⁺⁴	C₂²	semidirect
36. C₂×C₂₃×#137	C₂²	semidirect
40. C₂²×Q₁₆×C₂₃	C₂²	semidirect
52. C₂₃×#550	C₂²	semidirect
55. D₄×Q₈×C₂₃	C₂²	semidirect
62. C₂₃×#548	C₂²	semidirect
63. C₂₃×#548	C₂²	semidirect
75. C₂₃×#537	C₂²	semidirect
81. C₂₃×#532	C₂²	semidirect
84. C₂×C₄×Q₈×C₂₃	C₂²	semidirect
89. C₂₃×#491	C₂²	semidirect
90. C₂₃×#490	C₂²	semidirect
91. C₂₃×#488	C₂²	semidirect
92. C₂₃×#488	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#484	C₂²	semidirect
96. C₂₃×#484	C₂²	semidirect
97. C₂₃×#483	C₂²	semidirect
98. C₂₃×#483	C₂²	semidirect
100. C₂₃×#482	C₂²	semidirect
102. C₂₃×#481	C₂²	semidirect
104. C₂₃×#480	C₂²	semidirect
105. C₂₃×#479	C₂²	semidirect
106. C₂₃×#479	C₂²	semidirect
107. C₂₃×#479	C₂²	semidirect
108. C₂₃×#479	C₂²	semidirect
110. C₂₃×#470	C₂²	semidirect
116. C₂₃×#468	C₂²	semidirect
118. C₂₃×#467	C₂²	semidirect
124. C₂₃×#465	C₂²	semidirect
129. C₂₃×#464	C₂²	semidirect
130. C₂₃×#464	C₂²	semidirect
133. C₂₃×#462	C₂²	semidirect
135. C₂₃×#460	C₂²	semidirect
141. C₂₃×#452	C₂²	semidirect
142. C₂₃×#452	C₂²	semidirect
143. C₂₃×#452	C₂²	semidirect
144. C₂₃×#452	C₂²	semidirect
145. C₂₃×#452	C₂²	semidirect
146. C₂₃×#452	C₂²	semidirect
149. C₂₃×#451	C₂²	semidirect
150. C₂₃×#451	C₂²	semidirect
151. C₂₃×#451	C₂²	semidirect
152. C₂₃×#451	C₂²	semidirect
153. C₂₃×#451	C₂²	semidirect
171. C₂₃×#448	C₂²	semidirect
173. C₂₃×#441	C₂²	semidirect
174. C₂₃×#441	C₂²	semidirect
177. C₄×Q₁₆×C₂₃	C₂²	semidirect
178. C₄×Q₁₆×C₂₃	C₂²	semidirect
182. C₂₃×#436	C₂²	semidirect
185. C₂₃×#435	C₂²	semidirect
186. C₂₃×#435	C₂²	semidirect
188. C₈×D₄×C₂₃	C₂²	semidirect
189. C₂₃×#432	C₂²	semidirect
190. C₂₃×#431	C₂²	semidirect
192. C₂₃×#419	C₂²	semidirect
193. C₂₃×#417	C₂²	semidirect
194. C₂₃×#417	C₂²	semidirect
196. C₂₃×#416	C₂²	semidirect
197. C₂×C₂₃×#103	C₂²	semidirect
198. C₂×C₂₃×#103	C₂²	semidirect
201. C₂₃×#408	C₂²	semidirect
202. C₂₃×#408	C₂²	semidirect
735. #61681	C₂₃	direct (N × H)
868. #3551	C₂×C₂₃	semidirect
869. #3497	C₂×C₂₃	semidirect
870. #3327	C₂×C₂₃	semidirect
871. #3326	C₂×C₂₃	semidirect
872. #3320	C₂×C₂₃	semidirect
873. #3317	C₂×C₂₃	semidirect
874. #3312	C₂×C₂₃	semidirect
875. #3309	C₂×C₂₃	semidirect
876. #3301	C₂×C₂₃	semidirect
877. #3300	C₂×C₂₃	semidirect
878. #3285	C₂×C₂₃	semidirect
879. #3282	C₂×C₂₃	semidirect
880. #3277	C₂×C₂₃	semidirect
881. #3275	C₂×C₂₃	semidirect
882. #3271	C₂×C₂₃	semidirect
883. #3270	C₂×C₂₃	semidirect
884. #3268	C₂×C₂₃	semidirect
885. #3266	C₂×C₂₃	semidirect
886. #3219	C₂×C₂₃	semidirect
887. #3212	C₂×C₂₃	semidirect
888. #3204	C₂×C₂₃	semidirect
889. #3203	C₂×C₂₃	semidirect
890. #3201	C₂×C₂₃	semidirect
891. #3198	C₂×C₂₃	semidirect
892. #3117	C₂×C₂₃	semidirect
893. #3108	C₂×C₂₃	semidirect
894. #3013	C₂×C₂₃	semidirect
895. #3013	C₂×C₂₃	semidirect
896. #3011	C₂×C₂₃	semidirect
897. #3010	C₂×C₂₃	semidirect
898. #2981	C₂×C₂₃	semidirect
952. C₂×2₋¹⁺⁴	C₂²×C₂₃	semidirect
955. C₂×#137	C₂²×C₂₃	semidirect
959. C₂²×Q₁₆	C₂²×C₂₃	semidirect
971. #550	C₂²×C₂₃	semidirect
974. D₄×Q₈	C₂²×C₂₃	semidirect
981. #548	C₂²×C₂₃	semidirect
982. #548	C₂²×C₂₃	semidirect
994. #537	C₂²×C₂₃	semidirect
1000. #532	C₂²×C₂₃	semidirect
1003. C₂×C₄×Q₈	C₂²×C₂₃	semidirect
1008. #491	C₂²×C₂₃	semidirect
1009. #490	C₂²×C₂₃	semidirect
1010. #488	C₂²×C₂₃	semidirect
1011. #488	C₂²×C₂₃	semidirect
1013. #485	C₂²×C₂₃	semidirect
1014. #484	C₂²×C₂₃	semidirect
1015. #484	C₂²×C₂₃	semidirect
1016. #483	C₂²×C₂₃	semidirect
1017. #483	C₂²×C₂₃	semidirect
1019. #482	C₂²×C₂₃	semidirect
1021. #481	C₂²×C₂₃	semidirect
1023. #480	C₂²×C₂₃	semidirect
1024. #479	C₂²×C₂₃	semidirect
1025. #479	C₂²×C₂₃	semidirect
1026. #479	C₂²×C₂₃	semidirect
1027. #479	C₂²×C₂₃	semidirect
1029. #470	C₂²×C₂₃	semidirect
1035. #468	C₂²×C₂₃	semidirect
1037. #467	C₂²×C₂₃	semidirect
1043. #465	C₂²×C₂₃	semidirect
1048. #464	C₂²×C₂₃	semidirect
1049. #464	C₂²×C₂₃	semidirect
1052. #462	C₂²×C₂₃	semidirect
1054. #460	C₂²×C₂₃	semidirect
1060. #452	C₂²×C₂₃	semidirect
1061. #452	C₂²×C₂₃	semidirect
1062. #452	C₂²×C₂₃	semidirect
1063. #452	C₂²×C₂₃	semidirect
1064. #452	C₂²×C₂₃	semidirect
1065. #452	C₂²×C₂₃	semidirect
1068. #451	C₂²×C₂₃	semidirect
1069. #451	C₂²×C₂₃	semidirect
1070. #451	C₂²×C₂₃	semidirect
1071. #451	C₂²×C₂₃	semidirect
1072. #451	C₂²×C₂₃	semidirect
1090. #448	C₂²×C₂₃	semidirect
1092. #441	C₂²×C₂₃	semidirect
1093. #441	C₂²×C₂₃	semidirect
1096. C₄×Q₁₆	C₂²×C₂₃	semidirect
1097. C₄×Q₁₆	C₂²×C₂₃	semidirect
1101. #436	C₂²×C₂₃	semidirect
1104. #435	C₂²×C₂₃	semidirect
1105. #435	C₂²×C₂₃	semidirect
1107. C₈×D₄	C₂²×C₂₃	semidirect
1108. #432	C₂²×C₂₃	semidirect
1109. #431	C₂²×C₂₃	semidirect
1111. #419	C₂²×C₂₃	semidirect
1112. #417	C₂²×C₂₃	semidirect
1113. #417	C₂²×C₂₃	semidirect
1115. #416	C₂²×C₂₃	semidirect
1116. C₂×#103	C₂²×C₂₃	semidirect
1117. C₂×#103	C₂²×C₂₃	semidirect
1120. #408	C₂²×C₂₃	semidirect
1121. #408	C₂²×C₂₃	semidirect
1421. C₂₃	#61681	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₃×#3551	2
C₂₃×#3497	2
C₂₃×#3327	2
C₂₃×#3326	2
C₂₃×#3320	2
C₂₃×#3317	2
C₂₃×#3312	2
C₂₃×#3309	2
C₂₃×#3301	2
C₂₃×#3300	2
C₂₃×#3285	2
C₂₃×#3282	2
C₂₃×#3277	2
C₂₃×#3275	2
C₂₃×#3271	2
C₂₃×#3270	2
C₂₃×#3268	2
C₂₃×#3266	2
C₂₃×#3219	2
C₂₃×#3212	2
C₂₃×#3204	2
C₂₃×#3203	2
C₂₃×#3201	2
C₂₃×#3198	2
C₂₃×#3117	2
C₂₃×#3108	2
C₂₃×#3013	2
C₂₃×#3011	2
C₂₃×#3010	2
C₂₃×#2981	2
#61681	23

Subgroups — C23×#61681 #19209307

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61681 #19209307