Subgroups — C₂₃×#61609 #19209235

Order 5888.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3280	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×D₈×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3199	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#3003	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂³×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
42	C₂₃×#562	—	2	1	no	—
43	C₂₃×#560	—	2	1	no	—
44	C₂₃×#555	C₂²	1	1	yes	characteristic, complemented
45	C₂₃×#553	C₂²	1	1	yes	characteristic, complemented
46	C₂₃×#552	C₂²	1	1	yes	characteristic, complemented
47	C₂₃×#551	—	2	1	no	—
48	C₂₃×#550	C₂²	1	1	yes	characteristic, complemented
49	C₂₃×#547	C₂²	1	1	yes	characteristic, complemented
50	C₂₃×#546	—	2	1	no	—
51	C₂₃×#546	—	2	1	no	—
52	C₂₃×#546	—	2	1	no	—
53	C₂₃×#546	C₂²	1	1	yes	characteristic
54	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
55	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
56	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
57	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
58	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
59	D₄²×C₂₃	—	2	1	no	—
60	D₄²×C₂₃	—	2	1	no	—
61	D₄²×C₂₃	C₂²	1	1	yes	characteristic
62	D₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
63	D₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
64	D₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₂₃	C₂²	1	1	yes	characteristic, complemented
66	C₂₃×#542	C₂²	1	1	yes	characteristic, complemented
67	C₂₃×#540	—	2	1	no	—
68	C₂₃×#540	C₂²	1	1	yes	characteristic, complemented
69	C₂₃×#538	—	2	1	no	—
70	C₂₃×#537	C₂²	1	1	yes	characteristic, complemented
71	C₂₃×#535	—	2	1	no	—
72	C₂₃×#535	C₂²	1	1	yes	characteristic, complemented
73	C₂₃×#535	C₂²	1	1	yes	characteristic, complemented
74	C₂₃×#535	C₂²	1	1	yes	characteristic, complemented
75	C₂₃×#534	—	2	1	no	—
76	C₂₃×#534	—	2	1	no	—
77	C₂₃×#534	—	2	1	no	—
78	C₂₃×#525	C₂²	1	1	yes	characteristic
79	C₂₃×#525	C₂²	1	1	yes	characteristic, complemented
80	C₂₃×#525	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₂₃×#120	—	2	1	no	—
83	C₂×C₂₃×#120	—	2	1	no	—
84	C₂₃×#518	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#496	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#495	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#493	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#490	C₂²	1	1	yes	characteristic, complemented
90	C₂₃×#489	C₂²	1	1	yes	characteristic, complemented
91	C₂₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₂₃×#486	C₂²	1	1	yes	characteristic, complemented
93	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₂₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#476	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#474	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#469	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#468	C₂²	1	1	yes	characteristic, complemented
117	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
118	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
122	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
124	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₂₃×#464	C₂²	1	1	yes	characteristic, complemented
126	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
129	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₂₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₂₃×#460	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
136	C₂₃×#459	C₂²	1	1	yes	characteristic, complemented
137	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
138	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
139	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
152	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
153	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
154	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#447	C₂²	1	1	yes	characteristic
156	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#447	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#442	C₂²	1	1	yes	characteristic, complemented
176	C₂₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
181	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
182	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
184	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
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, complemented
188	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
189	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
191	C₂₃×#418	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#418	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#418	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂₃×#408	C₂²	1	1	yes	characteristic, complemented
200	C₂₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₂₃×#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂⁵×C₂₃	—	2	1	no	—
204	C₂₃×H(5,𝔽₂)	—	4	2	no	—
205	C₂₃×H(5,𝔽₂)	—	4	2	no	—
206	C₂×#41×C₂₃	—	2	1	no	—
207	C₂×#41×C₂₃	—	2	1	no	—
208	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
209	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
210	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
211	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
212	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
213	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic, complemented
214	C₂²×D₄×C₂₃	—	2	1	no	—
215	C₂²×D₄×C₂₃	—	2	1	no	—
216	C₂²×D₄×C₂₃	—	2	1	no	—
217	C₂²×D₄×C₂₃	—	2	1	no	—
218	C₂²×D₄×C₂₃	—	2	1	no	—
219	C₂²×D₄×C₂₃	—	2	1	no	—
220	C₂²×D₄×C₂₃	—	2	1	no	—
221	C₂²×D₄×C₂₃	—	2	1	no	—
222	C₂²×D₄×C₂₃	—	2	1	no	—
223	C₂²×D₄×C₂₃	—	2	1	no	—
224	C₂²×D₄×C₂₃	—	2	1	no	—
225	C₂²×D₄×C₂₃	—	2	1	no	—
226	C₂²×D₄×C₂₃	—	4	2	no	—
227	C₂²×D₄×C₂₃	—	4	2	no	—
228	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
229	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
233	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
234	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
235	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
236	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic
237	C₂²×D₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
238	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
239	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
240	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
241	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
242	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
243	C₂₃×#135	—	4	2	no	—
244	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
245	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
246	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
247	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
248	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
250	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
251	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
252	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
253	C₂×D₈×C₂₃	—	4	2	no	—
254	C₂×D₈×C₂₃	—	4	2	no	—
255	C₂×D₈×C₂₃	—	4	2	no	—
256	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
257	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
258	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
259	C₂×D₈×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×D₈×C₂₃	C₂³	1	1	yes	characteristic
265	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
266	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
267	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic
268	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
269	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
270	C₂×D₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
271	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
272	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
273	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
274	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic, complemented
275	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
278	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
279	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
280	C₂₃×#127	—	2	1	no	—
281	C₂₃×#127	—	2	1	no	—
282	C₂₃×#127	—	2	1	no	—
283	C₂₃×#127	C₂³	1	1	yes	characteristic
284	C₂₃×#127	C₂³	1	1	yes	characteristic
285	C₂₃×#127	C₂³	1	1	yes	characteristic, complemented
286	C₂₃×#126	—	2	1	no	—
287	C₂₃×#126	—	2	1	no	—
288	C₂₃×#126	—	2	1	no	—
289	C₂₃×#125	—	2	1	no	—
290	C₂₃×#125	C₂³	1	1	yes	characteristic, complemented
291	C₂₃×#124	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
297	C₂₃×#124	C₂³	1	1	yes	characteristic
298	C₂₃×#124	C₂³	1	1	yes	characteristic, complemented
299	C₂₃×#123	—	2	1	no	—
300	C₂₃×#123	—	2	1	no	—
301	C₂₃×#123	—	2	1	no	—
302	C₂₃×#123	—	2	1	no	—
303	C₂₃×#123	—	2	1	no	—
304	C₂₃×#123	—	2	1	no	—
305	C₂₃×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
315	C₂₃×#123	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
320	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
321	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
326	C₂₃×#121	—	2	1	no	—
327	C₂₃×#121	—	2	1	no	—
328	C₂₃×#121	—	2	1	no	—
329	C₂₃×#121	—	2	1	no	—
330	C₂₃×#121	—	2	1	no	—
331	C₂₃×#121	—	2	1	no	—
332	C₂₃×#121	—	2	1	no	—
333	C₂₃×#121	—	2	1	no	—
334	C₂₃×#121	—	2	1	no	—
335	C₂₃×#121	—	2	1	no	—
336	C₂₃×#121	—	2	1	no	—
337	C₂₃×#121	—	2	1	no	—
338	C₂₃×#121	—	2	1	no	—
339	C₂₃×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
351	C₂₃×#121	D₄	1	1	yes	characteristic
352	C₂₃×#121	C₂³	1	1	yes	characteristic
353	C₂₃×#121	C₂³	1	1	yes	characteristic
354	C₂₃×#121	C₂³	1	1	yes	characteristic
355	C₂₃×#121	C₂³	1	1	yes	characteristic
356	C₂₃×#121	C₂³	1	1	yes	characteristic
357	C₂₃×#121	C₂³	1	1	yes	characteristic
358	C₂₃×#121	C₂³	1	1	yes	characteristic
359	C₂₃×#121	C₂³	1	1	yes	characteristic
360	C₂₃×#121	C₂³	1	1	yes	characteristic
361	C₂₃×#121	C₂³	1	1	yes	characteristic
362	C₂₃×#121	C₂³	1	1	yes	characteristic
363	C₂₃×#121	C₂³	1	1	yes	characteristic
364	C₂₃×#121	C₂³	1	1	yes	characteristic, complemented
365	C₂₃×#121	C₂³	1	1	yes	characteristic, complemented
366	C₂₃×#121	C₂³	1	1	yes	characteristic, complemented
367	C₂₃×#120	—	2	1	no	—
368	C₂₃×#120	—	2	1	no	—
369	C₂₃×#120	—	2	1	no	—
370	C₂₃×#120	—	2	1	no	—
371	C₂₃×#120	—	2	1	no	—
372	C₂₃×#120	—	2	1	no	—
373	C₂₃×#120	—	2	1	no	—
374	C₂₃×#120	—	2	1	no	—
375	C₂₃×#120	—	2	1	no	—
376	C₂₃×#120	—	2	1	no	—
377	C₂₃×#120	—	2	1	no	—
378	C₂₃×#120	—	2	1	no	—
379	C₂₃×#120	—	2	1	no	—
380	C₂₃×#120	—	2	1	no	—
381	C₂₃×#120	—	2	1	no	—
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	C₂₃×#120	—	2	1	no	—
387	C₂₃×#120	—	2	1	no	—
388	C₂₃×#120	—	2	1	no	—
389	C₂₃×#120	—	2	1	no	—
390	C₂₃×#120	—	2	1	no	—
391	C₂₃×#120	D₄	1	1	yes	characteristic
392	C₂₃×#120	D₄	1	1	yes	characteristic
393	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
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	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
404	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
405	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
407	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
410	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
411	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
412	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
413	C₂₃×#117	—	2	1	no	—
414	C₂₃×#117	—	2	1	no	—
415	C₂₃×#117	C₂³	1	1	yes	characteristic
416	C₂₃×#117	C₂³	1	1	yes	characteristic
417	C₂₃×#117	C₂³	1	1	yes	characteristic
418	C₂₃×#117	C₂³	1	1	yes	characteristic, complemented
419	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
420	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic, complemented
421	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
422	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
423	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
424	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
425	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
426	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
427	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
428	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
429	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
430	C₂₃×#107	C₂³	1	1	yes	characteristic, complemented
431	C₂₃×#107	C₂³	1	1	yes	characteristic, complemented
432	C₂₃×#107	C₂³	1	1	yes	characteristic, complemented
433	C₂₃×#107	C₂³	1	1	yes	characteristic, complemented
434	C₂₃×#106	C₂³	1	1	yes	characteristic, complemented
435	C₂₃×#106	C₂³	1	1	yes	characteristic, complemented
436	C₂₃×#106	C₂³	1	1	yes	characteristic, complemented
437	C₂₃×#106	C₂³	1	1	yes	characteristic, complemented
438	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
439	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
440	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
441	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
442	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
443	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
444	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
445	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
446	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
447	C₂₃×#103	C₂³	1	1	yes	characteristic, complemented
448	C₂₃×#102	C₂³	1	1	yes	characteristic
449	C₂₃×#102	C₂³	1	1	yes	characteristic
450	C₂₃×#102	C₂³	1	1	yes	characteristic
451	C₂₃×#102	C₂³	1	1	yes	characteristic
452	C₂₃×#102	C₂³	1	1	yes	characteristic
453	C₂₃×#102	C₂³	1	1	yes	characteristic
454	C₂₃×#102	C₂³	1	1	yes	characteristic
455	C₂₃×#102	C₂³	1	1	yes	characteristic
456	C₂₃×#102	C₂³	1	1	yes	characteristic
457	C₂₃×#102	C₂³	1	1	yes	characteristic
458	C₂₃×#102	C₂³	1	1	yes	characteristic
459	C₂₃×#102	C₂³	1	1	yes	characteristic
460	C₂₃×#102	C₂³	1	1	yes	characteristic
461	C₂₃×#102	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, complemented
465	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
466	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
467	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
468	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
469	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
470	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
471	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
472	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
473	C₂₃×#102	C₂³	1	1	yes	characteristic, complemented
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, complemented
483	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
484	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
485	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
486	C₂₃×#97	C₂³	1	1	yes	characteristic, complemented
487	C₂₃×#97	C₂³	1	1	yes	characteristic, complemented
488	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
489	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₂₃	—	2	1	no	—
491	C₂⁴×C₂₃	—	2	1	no	—
492	C₂⁴×C₂₃	—	2	1	no	—
493	C₂⁴×C₂₃	—	2	1	no	—
494	C₂⁴×C₂₃	—	2	1	no	—
495	C₂⁴×C₂₃	—	2	1	no	—
496	C₂⁴×C₂₃	—	2	1	no	—
497	C₂⁴×C₂₃	—	2	1	no	—
498	C₂⁴×C₂₃	—	2	1	no	—
499	C₂⁴×C₂₃	—	2	1	no	—
500	C₂⁴×C₂₃	—	4	4	no	—
501	C₂⁴×C₂₃	—	8	2	no	—
502	C₂⁴×C₂₃	—	8	2	no	—
503	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
504	#41×C₂₃	—	2	2	no	—
505	#41×C₂₃	—	2	2	no	—
506	#41×C₂₃	—	4	1	no	—
507	#41×C₂₃	—	4	1	no	—
508	#41×C₂₃	—	4	1	no	—
509	#41×C₂₃	—	4	1	no	—
510	#41×C₂₃	—	4	1	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	1	no	—
516	#41×C₂₃	—	4	4	no	—
517	#41×C₂₃	—	8	2	no	—
518	C₂×Q₈×C₂₃	—	2	1	no	—
519	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
520	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
521	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₂₃	—	2	2	no	—
523	C₂×D₄×C₂₃	—	2	2	no	—
524	C₂×D₄×C₂₃	—	2	2	no	—
525	C₂×D₄×C₂₃	—	2	2	no	—
526	C₂×D₄×C₂₃	—	2	2	no	—
527	C₂×D₄×C₂₃	—	2	2	no	—
528	C₂×D₄×C₂₃	—	2	2	no	—
529	C₂×D₄×C₂₃	—	2	2	no	—
530	C₂×D₄×C₂₃	—	2	1	no	—
531	C₂×D₄×C₂₃	—	2	1	no	—
532	C₂×D₄×C₂₃	—	2	1	no	—
533	C₂×D₄×C₂₃	—	2	1	no	—
534	C₂×D₄×C₂₃	—	2	1	no	—
535	C₂×D₄×C₂₃	—	2	1	no	—
536	C₂×D₄×C₂₃	—	2	1	no	—
537	C₂×D₄×C₂₃	—	2	1	no	—
538	C₂×D₄×C₂₃	—	2	1	no	—
539	C₂×D₄×C₂₃	—	2	1	no	—
540	C₂×D₄×C₂₃	—	2	1	no	—
541	C₂×D₄×C₂₃	—	2	1	no	—
542	C₂×D₄×C₂₃	—	2	1	no	—
543	C₂×D₄×C₂₃	—	2	1	no	—
544	C₂×D₄×C₂₃	—	2	1	no	—
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	—	4	1	no	—
569	C₂×D₄×C₂₃	—	4	1	no	—
570	C₂×D₄×C₂₃	—	4	1	no	—
571	C₂×D₄×C₂₃	—	4	1	no	—
572	C₂×D₄×C₂₃	—	4	1	no	—
573	C₂×D₄×C₂₃	—	4	1	no	—
574	C₂×D₄×C₂₃	—	4	1	no	—
575	C₂×D₄×C₂₃	—	4	1	no	—
576	C₂×D₄×C₂₃	—	4	1	no	—
577	C₂×D₄×C₂₃	—	4	1	no	—
578	C₂×D₄×C₂₃	—	4	4	no	—
579	C₂×D₄×C₂₃	—	4	4	no	—
580	C₂×D₄×C₂₃	—	4	4	no	—
581	C₂×D₄×C₂₃	—	4	4	no	—
582	C₂×D₄×C₂₃	—	4	4	no	—
583	C₂×D₄×C₂₃	—	4	4	no	—
584	C₂×D₄×C₂₃	—	8	2	no	—
585	C₂×D₄×C₂₃	—	8	2	no	—
586	C₂×D₄×C₂₃	—	8	2	no	—
587	C₂×D₄×C₂₃	—	8	2	no	—
588	C₂×D₄×C₂₃	—	8	2	no	—
589	C₂×D₄×C₂₃	—	8	2	no	—
590	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
591	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
592	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
593	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
594	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
595	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
596	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
597	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
598	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
599	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
600	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
601	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
602	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
603	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
604	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₂₃	—	2	1	no	—
606	C₂²×C₄×C₂₃	—	2	1	no	—
607	C₂²×C₄×C₂₃	—	2	1	no	—
608	C₂²×C₄×C₂₃	—	2	1	no	—
609	C₂²×C₄×C₂₃	—	2	1	no	—
610	C₂²×C₄×C₂₃	—	2	1	no	—
611	C₂²×C₄×C₂₃	—	2	1	no	—
612	C₂²×C₄×C₂₃	—	2	1	no	—
613	C₂²×C₄×C₂₃	—	2	1	no	—
614	C₂²×C₄×C₂₃	—	2	1	no	—
615	C₂²×C₄×C₂₃	—	2	1	no	—
616	C₂²×C₄×C₂₃	—	2	1	no	—
617	C₂²×C₄×C₂₃	—	2	1	no	—
618	C₂²×C₄×C₂₃	—	2	1	no	—
619	C₂²×C₄×C₂₃	—	4	1	no	—
620	C₂²×C₄×C₂₃	—	4	1	no	—
621	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
622	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
623	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
624	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
629	Q₁₆×C₂₃	—	4	1	no	—
630	SD₁₆×C₂₃	—	2	2	no	—
631	SD₁₆×C₂₃	—	2	2	no	—
632	SD₁₆×C₂₃	—	4	1	no	—
633	SD₁₆×C₂₃	—	4	1	no	—
634	SD₁₆×C₂₃	—	4	1	no	—
635	SD₁₆×C₂₃	—	4	1	no	—
636	SD₁₆×C₂₃	—	4	1	no	—
637	SD₁₆×C₂₃	—	4	1	no	—
638	D₈×C₂₃	—	2	2	no	—
639	D₈×C₂₃	—	2	2	no	—
640	D₈×C₂₃	—	2	2	no	—
641	D₈×C₂₃	—	2	2	no	—
642	D₈×C₂₃	—	2	2	no	—
643	D₈×C₂₃	—	2	2	no	—
644	D₈×C₂₃	—	4	1	no	—
645	D₈×C₂₃	—	4	1	no	—
646	D₈×C₂₃	—	4	1	no	—
647	D₈×C₂₃	—	4	1	no	—
648	D₈×C₂₃	—	4	1	no	—
649	D₈×C₂₃	—	4	1	no	—
650	D₈×C₂₃	—	4	1	no	—
651	D₈×C₂₃	—	4	1	no	—
652	D₈×C₂₃	—	4	1	no	—
653	M₁₆×C₂₃	—	4	1	no	—
654	M₁₆×C₂₃	—	4	1	no	—
655	M₁₆×C₂₃	—	4	1	no	—
656	M₁₆×C₂₃	—	4	1	no	—
657	C₂×C₈×C₂₃	—	4	1	no	—
658	C₂×C₈×C₂₃	—	4	1	no	—
659	C₂×C₈×C₂₃	—	4	1	no	—
660	C₂×C₈×C₂₃	—	4	1	no	—
661	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
662	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
665	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
666	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
667	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
668	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
674	C₄⋊C₄×C₂₃	—	2	1	no	—
675	C₄⋊C₄×C₂₃	—	2	1	no	—
676	C₄⋊C₄×C₂₃	—	2	1	no	—
677	C₄⋊C₄×C₂₃	—	2	1	no	—
678	C₄⋊C₄×C₂₃	—	2	1	no	—
679	C₄⋊C₄×C₂₃	—	2	1	no	—
680	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
683	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
684	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
685	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
686	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
688	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
689	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
716	C₂²⋊C₄×C₂₃	—	2	1	no	—
717	C₂²⋊C₄×C₂₃	—	2	1	no	—
718	C₂²⋊C₄×C₂₃	—	2	1	no	—
719	C₂²⋊C₄×C₂₃	—	2	1	no	—
720	C₂²⋊C₄×C₂₃	—	2	1	no	—
721	C₂²⋊C₄×C₂₃	—	2	1	no	—
722	C₂²⋊C₄×C₂₃	—	2	1	no	—
723	C₂²⋊C₄×C₂₃	—	2	1	no	—
724	C₂²⋊C₄×C₂₃	—	2	1	no	—
725	C₂²⋊C₄×C₂₃	—	2	1	no	—
726	C₂²⋊C₄×C₂₃	—	2	1	no	—
727	C₂²⋊C₄×C₂₃	—	2	1	no	—
728	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
731	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
732	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
733	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
734	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
735	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
736	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
737	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
738	C₄²×C₂₃	—	2	1	no	—
739	C₄²×C₂₃	—	2	1	no	—
740	C₄²×C₂₃	—	2	1	no	—
741	C₄²×C₂₃	—	2	1	no	—
742	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
743	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
744	#61609	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
745	C₂³×C₂₃	—	2	4	no	—
746	C₂³×C₂₃	—	2	2	no	—
747	C₂³×C₂₃	—	2	1	no	—
748	C₂³×C₂₃	—	2	1	no	—
749	C₂³×C₂₃	—	2	1	no	—
750	C₂³×C₂₃	—	2	1	no	—
751	C₂³×C₂₃	—	2	1	no	—
752	C₂³×C₂₃	—	2	1	no	—
753	C₂³×C₂₃	—	2	1	no	—
754	C₂³×C₂₃	—	2	1	no	—
755	C₂³×C₂₃	—	4	1	no	—
756	C₂³×C₂₃	—	4	1	no	—
757	C₂³×C₂₃	—	4	2	no	—
758	C₂³×C₂₃	—	4	2	no	—
759	C₂³×C₂₃	—	4	2	no	—
760	C₂³×C₂₃	—	4	2	no	—
761	C₂³×C₂₃	—	4	2	no	—
762	C₂³×C₂₃	—	4	2	no	—
763	C₂³×C₂₃	—	4	2	no	—
764	C₂³×C₂₃	—	4	2	no	—
765	C₂³×C₂₃	—	4	2	no	—
766	C₂³×C₂₃	—	4	2	no	—
767	C₂³×C₂₃	—	4	2	no	—
768	C₂³×C₂₃	—	4	2	no	—
769	C₂³×C₂₃	—	8	1	no	—
770	C₂³×C₂₃	—	8	1	no	—
771	C₂³×C₂₃	—	8	1	no	—
772	C₂³×C₂₃	—	8	1	no	—
773	C₂³×C₂₃	—	8	1	no	—
774	C₂³×C₂₃	—	8	1	no	—
775	C₂³×C₂₃	—	8	1	no	—
776	C₂³×C₂₃	—	8	1	no	—
777	C₂³×C₂₃	—	8	1	no	—
778	C₂³×C₂₃	—	8	1	no	—
779	C₂³×C₂₃	—	8	1	no	—
780	C₂³×C₂₃	—	8	1	no	—
781	C₂³×C₂₃	—	8	1	no	—
782	C₂³×C₂₃	—	8	1	no	—
783	C₂³×C₂₃	—	8	1	no	—
784	C₂³×C₂₃	—	8	1	no	—
785	C₂³×C₂₃	—	8	1	no	—
786	C₂³×C₂₃	—	8	16	no	—
787	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
788	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
789	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
790	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
791	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
792	Q₈×C₂₃	—	2	1	no	—
793	Q₈×C₂₃	—	2	1	no	—
794	Q₈×C₂₃	—	2	1	no	—
795	Q₈×C₂₃	—	2	1	no	—
796	Q₈×C₂₃	—	4	1	no	—
797	Q₈×C₂₃	—	8	1	no	—
798	D₄×C₂₃	—	2	4	no	—
799	D₄×C₂₃	—	2	2	no	—
800	D₄×C₂₃	—	2	2	no	—
801	D₄×C₂₃	—	2	1	no	—
802	D₄×C₂₃	—	2	1	no	—
803	D₄×C₂₃	—	2	1	no	—
804	D₄×C₂₃	—	2	1	no	—
805	D₄×C₂₃	—	2	1	no	—
806	D₄×C₂₃	—	2	1	no	—
807	D₄×C₂₃	—	2	1	no	—
808	D₄×C₂₃	—	2	1	no	—
809	D₄×C₂₃	—	2	1	no	—
810	D₄×C₂₃	—	2	1	no	—
811	D₄×C₂₃	—	2	1	no	—
812	D₄×C₂₃	—	2	1	no	—
813	D₄×C₂₃	—	2	1	no	—
814	D₄×C₂₃	—	2	1	no	—
815	D₄×C₂₃	—	4	1	no	—
816	D₄×C₂₃	—	4	1	no	—
817	D₄×C₂₃	—	4	1	no	—
818	D₄×C₂₃	—	4	1	no	—
819	D₄×C₂₃	—	4	1	no	—
820	D₄×C₂₃	—	4	2	no	—
821	D₄×C₂₃	—	4	2	no	—
822	D₄×C₂₃	—	4	2	no	—
823	D₄×C₂₃	—	4	2	no	—
824	D₄×C₂₃	—	4	2	no	—
825	D₄×C₂₃	—	4	2	no	—
826	D₄×C₂₃	—	4	2	no	—
827	D₄×C₂₃	—	4	2	no	—
828	D₄×C₂₃	—	4	2	no	—
829	D₄×C₂₃	—	4	2	no	—
830	D₄×C₂₃	—	4	2	no	—
831	D₄×C₂₃	—	4	2	no	—
832	D₄×C₂₃	—	4	2	no	—
833	D₄×C₂₃	—	8	1	no	—
834	D₄×C₂₃	—	8	1	no	—
835	D₄×C₂₃	—	8	1	no	—
836	D₄×C₂₃	—	8	1	no	—
837	D₄×C₂₃	—	8	1	no	—
838	D₄×C₂₃	—	8	1	no	—
839	D₄×C₂₃	—	8	1	no	—
840	D₄×C₂₃	—	8	1	no	—
841	D₄×C₂₃	—	8	1	no	—
842	D₄×C₂₃	—	8	1	no	—
843	D₄×C₂₃	—	8	1	no	—
844	D₄×C₂₃	—	8	1	no	—
845	D₄×C₂₃	—	8	1	no	—
846	D₄×C₂₃	—	8	1	no	—
847	D₄×C₂₃	—	8	1	no	—
848	D₄×C₂₃	—	8	1	no	—
849	D₄×C₂₃	—	8	1	no	—
850	D₄×C₂₃	—	8	1	no	—
851	D₄×C₂₃	—	8	1	no	—
852	D₄×C₂₃	—	8	1	no	—
853	D₄×C₂₃	—	8	1	no	—
854	D₄×C₂₃	—	8	1	no	—
855	D₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
856	D₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
857	C₂×C₄×C₂₃	—	2	1	no	—
858	C₂×C₄×C₂₃	—	2	1	no	—
859	C₂×C₄×C₂₃	—	2	1	no	—
860	C₂×C₄×C₂₃	—	2	1	no	—
861	C₂×C₄×C₂₃	—	2	1	no	—
862	C₂×C₄×C₂₃	—	2	1	no	—
863	C₂×C₄×C₂₃	—	2	1	no	—
864	C₂×C₄×C₂₃	—	2	1	no	—
865	C₂×C₄×C₂₃	—	2	1	no	—
866	C₂×C₄×C₂₃	—	2	1	no	—
867	C₂×C₄×C₂₃	—	2	1	no	—
868	C₂×C₄×C₂₃	—	2	1	no	—
869	C₂×C₄×C₂₃	—	2	1	no	—
870	C₂×C₄×C₂₃	—	2	1	no	—
871	C₂×C₄×C₂₃	—	2	1	no	—
872	C₂×C₄×C₂₃	—	2	1	no	—
873	C₂×C₄×C₂₃	—	2	1	no	—
874	C₂×C₄×C₂₃	—	2	1	no	—
875	C₂×C₄×C₂₃	—	4	1	no	—
876	C₂×C₄×C₂₃	—	4	1	no	—
877	C₂×C₄×C₂₃	—	4	1	no	—
878	C₂×C₄×C₂₃	—	4	2	no	—
879	C₂×C₄×C₂₃	—	4	2	no	—
880	C₂×C₄×C₂₃	—	4	2	no	—
881	C₂×C₄×C₂₃	—	4	2	no	—
882	C₂×C₄×C₂₃	—	8	1	no	—
883	C₂×C₄×C₂₃	—	8	1	no	—
884	C₂×C₄×C₂₃	—	8	1	no	—
885	C₂×C₄×C₂₃	—	8	1	no	—
886	C₂×C₄×C₂₃	—	8	1	no	—
887	C₂×C₄×C₂₃	—	8	1	no	—
888	C₂×C₄×C₂₃	—	8	1	no	—
889	C₂×C₄×C₂₃	—	8	1	no	—
890	C₂×C₄×C₂₃	—	8	1	no	—
891	C₂×C₄×C₂₃	—	8	1	no	—
892	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
902	C₈×C₂₃	—	2	1	no	—
903	C₈×C₂₃	—	2	1	no	—
904	C₈×C₂₃	—	2	1	no	—
905	C₈×C₂₃	—	2	1	no	—
906	C₈×C₂₃	—	2	1	no	—
907	C₈×C₂₃	—	2	1	no	—
908	C₈×C₂₃	—	2	1	no	—
909	C₈×C₂₃	—	2	1	no	—
910	#3542	C₂×C₂₃	1	1	yes	characteristic, complemented
911	#3484	C₂×C₂₃	1	1	yes	characteristic, complemented
912	#3325	C₂×C₂₃	1	1	yes	characteristic, complemented
913	#3322	C₂×C₂₃	1	1	yes	characteristic, complemented
914	#3319	C₂×C₂₃	1	1	yes	characteristic, complemented
915	#3318	C₂×C₂₃	1	1	yes	characteristic, complemented
916	#3310	C₂×C₂₃	1	1	yes	characteristic, complemented
917	#3306	C₂×C₂₃	1	1	yes	characteristic, complemented
918	#3296	C₂×C₂₃	1	1	yes	characteristic, complemented
919	#3294	C₂×C₂₃	1	1	yes	characteristic, complemented
920	#3280	C₂×C₂₃	1	1	yes	characteristic, complemented
921	D₄×D₈	C₂×C₂₃	1	1	yes	characteristic, complemented
922	#3274	C₂×C₂₃	1	1	yes	characteristic, complemented
923	#3273	C₂×C₂₃	1	1	yes	characteristic, complemented
924	#3268	C₂×C₂₃	1	1	yes	characteristic, complemented
925	#3264	C₂×C₂₃	1	1	yes	characteristic, complemented
926	#3264	C₂×C₂₃	1	1	yes	characteristic, complemented
927	#3264	C₂×C₂₃	1	1	yes	characteristic, complemented
928	#3224	C₂×C₂₃	1	1	yes	characteristic, complemented
929	#3220	C₂×C₂₃	1	1	yes	characteristic, complemented
930	#3199	C₂×C₂₃	1	1	yes	characteristic, complemented
931	#3198	C₂×C₂₃	1	1	yes	characteristic, complemented
932	#3194	C₂×C₂₃	1	1	yes	characteristic, complemented
933	#3191	C₂×C₂₃	1	1	yes	characteristic, complemented
934	#3122	C₂×C₂₃	1	1	yes	characteristic, complemented
935	#3118	C₂×C₂₃	1	1	yes	characteristic, complemented
936	#3012	C₂×C₂₃	1	1	yes	characteristic, complemented
937	#3008	C₂×C₂₃	1	1	yes	characteristic, complemented
938	#3003	C₂×C₂₃	1	1	yes	characteristic, complemented
939	C₂×#447	C₂×C₂₃	1	1	yes	characteristic, complemented
940	#2976	C₂×C₂₃	1	1	yes	characteristic, complemented
941	C₂²×C₂₃	—	2	1	no	—
942	C₂²×C₂₃	—	2	1	no	—
943	C₂²×C₂₃	—	2	1	no	—
944	C₂²×C₂₃	—	2	1	no	—
945	C₂²×C₂₃	—	2	1	no	—
946	C₂²×C₂₃	—	2	1	no	—
947	C₂²×C₂₃	—	2	1	no	—
948	C₂²×C₂₃	—	2	1	no	—
949	C₂²×C₂₃	—	2	1	no	—
950	C₂²×C₂₃	—	2	1	no	—
951	C₂²×C₂₃	—	2	2	no	—
952	C₂²×C₂₃	—	2	2	no	—
953	C₂²×C₂₃	—	2	1	no	—
954	C₂²×C₂₃	—	2	1	no	—
955	C₂²×C₂₃	—	2	1	no	—
956	C₂²×C₂₃	—	2	1	no	—
957	C₂²×C₂₃	—	4	4	no	—
958	C₂²×C₂₃	—	4	1	no	—
959	C₂²×C₂₃	—	4	1	no	—
960	C₂²×C₂₃	—	4	1	no	—
961	C₂²×C₂₃	—	4	1	no	—
962	C₂²×C₂₃	—	4	1	no	—
963	C₂²×C₂₃	—	4	1	no	—
964	C₂²×C₂₃	—	4	1	no	—
965	C₂²×C₂₃	—	4	1	no	—
966	C₂²×C₂₃	—	4	1	no	—
967	C₂²×C₂₃	—	4	1	no	—
968	C₂²×C₂₃	—	4	1	no	—
969	C₂²×C₂₃	—	4	1	no	—
970	C₂²×C₂₃	—	4	1	no	—
971	C₂²×C₂₃	—	4	1	no	—
972	C₂²×C₂₃	—	4	1	no	—
973	C₂²×C₂₃	—	4	1	no	—
974	C₂²×C₂₃	—	4	1	no	—
975	C₂²×C₂₃	—	4	1	no	—
976	C₂²×C₂₃	—	4	1	no	—
977	C₂²×C₂₃	—	4	1	no	—
978	C₂²×C₂₃	—	4	1	no	—
979	C₂²×C₂₃	—	4	1	no	—
980	C₂²×C₂₃	—	8	4	no	—
981	C₂²×C₂₃	—	8	4	no	—
982	C₂²×C₂₃	—	8	4	no	—
983	C₂²×C₂₃	—	8	4	no	—
984	C₂²×C₂₃	—	8	4	no	—
985	C₂²×C₂₃	—	8	4	no	—
986	C₂²×C₂₃	—	16	2	no	—
987	C₂²×C₂₃	—	16	2	no	—
988	C₂²×C₂₃	—	16	2	no	—
989	C₂²×C₂₃	—	16	2	no	—
990	C₂²×C₂₃	#576	1	2	yes	—
991	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
992	C₄×C₂₃	—	2	1	no	—
993	C₄×C₂₃	—	2	1	no	—
994	C₄×C₂₃	—	2	1	no	—
995	C₄×C₂₃	—	2	1	no	—
996	C₄×C₂₃	—	2	1	no	—
997	C₄×C₂₃	—	2	1	no	—
998	C₄×C₂₃	—	2	1	no	—
999	C₄×C₂₃	—	2	1	no	—
1000	C₄×C₂₃	—	2	1	no	—
1001	C₄×C₂₃	—	4	1	no	—
1002	C₄×C₂₃	—	4	1	no	—
1003	C₄×C₂₃	—	4	1	no	—
1004	C₄×C₂₃	—	4	1	no	—
1005	C₄×C₂₃	—	4	1	no	—
1006	C₄×C₂₃	—	4	1	no	—
1007	C₄×C₂₃	—	4	1	no	—
1008	C₄×C₂₃	—	4	1	no	—
1009	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1010	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1011	C₂×H(5,𝔽₂)	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	C₂³×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
1018	C₂²×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	C₂²×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1020	C₂²×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	#562	—	2	1	no	—
1022	#560	—	2	1	no	—
1023	#555	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	#553	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#552	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	#551	—	2	1	no	—
1027	#550	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	#547	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	#546	—	2	1	no	—
1030	#546	—	2	1	no	—
1031	#546	—	2	1	no	—
1032	#546	C₂²×C₂₃	1	1	yes	characteristic
1033	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	D₄²	—	2	1	no	—
1039	D₄²	—	2	1	no	—
1040	D₄²	C₂²×C₂₃	1	1	yes	characteristic
1041	D₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1042	D₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	D₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	D₄²	C₂²×C₂₃	1	1	yes	characteristic, complemented
1045	#542	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	#540	—	2	1	no	—
1047	#540	C₂²×C₂₃	1	1	yes	characteristic, complemented
1048	#538	—	2	1	no	—
1049	#537	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#535	—	2	1	no	—
1051	#535	C₂²×C₂₃	1	1	yes	characteristic, complemented
1052	#535	C₂²×C₂₃	1	1	yes	characteristic, complemented
1053	#535	C₂²×C₂₃	1	1	yes	characteristic, complemented
1054	#534	—	2	1	no	—
1055	#534	—	2	1	no	—
1056	#534	—	2	1	no	—
1057	#525	C₂²×C₂₃	1	1	yes	characteristic
1058	#525	C₂²×C₂₃	1	1	yes	characteristic, complemented
1059	#525	C₂²×C₂₃	1	1	yes	characteristic, complemented
1060	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic, complemented
1061	C₂×#120	—	2	1	no	—
1062	C₂×#120	—	2	1	no	—
1063	#518	C₂²×C₂₃	1	1	yes	characteristic, complemented
1064	#496	C₂²×C₂₃	1	1	yes	characteristic, complemented
1065	#496	C₂²×C₂₃	1	1	yes	characteristic, complemented
1066	#495	C₂²×C₂₃	1	1	yes	characteristic, complemented
1067	#493	C₂²×C₂₃	1	1	yes	characteristic, complemented
1068	#490	C₂²×C₂₃	1	1	yes	characteristic, complemented
1069	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
1070	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
1071	#486	C₂²×C₂₃	1	1	yes	characteristic, complemented
1072	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1073	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1074	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1075	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1076	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1077	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1078	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1079	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1080	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1081	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1082	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1083	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1084	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
1085	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
1086	#476	C₂²×C₂₃	1	1	yes	characteristic, complemented
1087	#474	C₂²×C₂₃	1	1	yes	characteristic, complemented
1088	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1089	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1090	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1091	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1092	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1093	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1094	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1095	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1096	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1097	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1098	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1099	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1100	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1101	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1102	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1103	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1104	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1105	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1107	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1108	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1109	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1110	#460	C₂²×C₂₃	1	1	yes	characteristic, complemented
1111	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1112	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1113	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1114	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1115	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1116	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1117	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1118	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1119	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1120	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1121	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1122	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1123	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1124	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1125	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1126	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1127	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1128	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1129	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1130	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1131	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1132	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1133	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1134	#447	C₂²×C₂₃	1	1	yes	characteristic
1135	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1136	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1137	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1138	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1139	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1140	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1141	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1142	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1143	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1144	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1145	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1146	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1147	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1148	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1149	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1150	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1151	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1152	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1153	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1154	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1155	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1156	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1157	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1158	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1159	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1160	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
1161	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
1162	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1163	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1164	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1165	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1166	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1167	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1168	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
1169	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
1170	#418	C₂²×C₂₃	1	1	yes	characteristic, complemented
1171	#418	C₂²×C₂₃	1	1	yes	characteristic, complemented
1172	#418	C₂²×C₂₃	1	1	yes	characteristic, complemented
1173	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1174	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1175	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1176	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1177	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1178	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1179	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1180	#407	C₂²×C₂₃	1	1	yes	characteristic, complemented
1181	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1182	C₂×C₂₃	—	2	2	no	—
1183	C₂×C₂₃	—	4	1	no	—
1184	C₂×C₂₃	—	4	1	no	—
1185	C₂×C₂₃	—	4	1	no	—
1186	C₂×C₂₃	—	4	1	no	—
1187	C₂×C₂₃	—	4	2	no	—
1188	C₂×C₂₃	—	4	2	no	—
1189	C₂×C₂₃	—	8	1	no	—
1190	C₂×C₂₃	—	8	1	no	—
1191	C₂×C₂₃	—	8	1	no	—
1192	C₂×C₂₃	—	8	1	no	—
1193	C₂×C₂₃	—	8	1	no	—
1194	C₂×C₂₃	—	8	1	no	—
1195	C₂×C₂₃	#3484	1	1	yes	characteristic
1196	C₂×C₂₃	C₂×#576	1	1	yes	characteristic
1197	C₂×C₂₃	#3585	1	1	yes	characteristic
1198	C₂⁵	—	2	1	no	—
1199	H(5,𝔽₂)	—	4	2	no	—
1200	H(5,𝔽₂)	—	4	2	no	—
1201	C₂×#41	—	2	1	no	—
1202	C₂×#41	—	2	1	no	—
1203	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1204	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1205	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1206	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1207	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1208	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic, complemented
1209	C₂²×D₄	—	2	1	no	—
1210	C₂²×D₄	—	2	1	no	—
1211	C₂²×D₄	—	2	1	no	—
1212	C₂²×D₄	—	2	1	no	—
1213	C₂²×D₄	—	2	1	no	—
1214	C₂²×D₄	—	2	1	no	—
1215	C₂²×D₄	—	2	1	no	—
1216	C₂²×D₄	—	2	1	no	—
1217	C₂²×D₄	—	2	1	no	—
1218	C₂²×D₄	—	2	1	no	—
1219	C₂²×D₄	—	2	1	no	—
1220	C₂²×D₄	—	2	1	no	—
1221	C₂²×D₄	—	4	2	no	—
1222	C₂²×D₄	—	4	2	no	—
1223	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1224	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1225	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1226	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1227	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1228	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1229	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1230	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1231	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1232	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
1233	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1234	AGL(1,ℤ/8)	—	4	2	no	—
1235	AGL(1,ℤ/8)	—	4	2	no	—
1236	AGL(1,ℤ/8)	—	4	2	no	—
1237	AGL(1,ℤ/8)	—	4	2	no	—
1238	#135	—	4	2	no	—
1239	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1240	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1241	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1242	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1243	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1244	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1245	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1246	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1247	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1248	C₂×D₈	—	4	2	no	—
1249	C₂×D₈	—	4	2	no	—
1250	C₂×D₈	—	4	2	no	—
1251	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1252	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1253	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1254	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1255	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1256	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1257	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1258	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1259	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1260	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1261	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1262	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1263	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1264	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1265	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1266	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1267	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1268	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1269	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic, complemented
1270	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1271	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1272	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1273	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1274	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1275	#127	—	2	1	no	—
1276	#127	—	2	1	no	—
1277	#127	—	2	1	no	—
1278	#127	C₂³×C₂₃	1	1	yes	characteristic
1279	#127	C₂³×C₂₃	1	1	yes	characteristic
1280	#127	C₂³×C₂₃	1	1	yes	characteristic, complemented
1281	#126	—	2	1	no	—
1282	#126	—	2	1	no	—
1283	#126	—	2	1	no	—
1284	#125	—	2	1	no	—
1285	#125	C₂³×C₂₃	1	1	yes	characteristic, complemented
1286	#124	—	2	1	no	—
1287	#124	—	2	1	no	—
1288	#124	—	2	1	no	—
1289	#124	—	2	1	no	—
1290	#124	—	2	1	no	—
1291	#124	C₂³×C₂₃	1	1	yes	characteristic
1292	#124	C₂³×C₂₃	1	1	yes	characteristic
1293	#124	C₂³×C₂₃	1	1	yes	characteristic, complemented
1294	#123	—	2	1	no	—
1295	#123	—	2	1	no	—
1296	#123	—	2	1	no	—
1297	#123	—	2	1	no	—
1298	#123	—	2	1	no	—
1299	#123	—	2	1	no	—
1300	#123	—	2	1	no	—
1301	#123	—	2	1	no	—
1302	#123	—	2	1	no	—
1303	#123	—	2	1	no	—
1304	#123	—	2	1	no	—
1305	#123	—	2	1	no	—
1306	#123	—	2	1	no	—
1307	#123	—	2	1	no	—
1308	#123	—	2	1	no	—
1309	#123	D₄×C₂₃	1	1	yes	characteristic
1310	#123	D₄×C₂₃	1	1	yes	characteristic
1311	C₂²⋊Q₈	—	2	1	no	—
1312	C₂²⋊Q₈	—	2	1	no	—
1313	C₂²⋊Q₈	—	2	1	no	—
1314	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
1315	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
1316	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1317	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1318	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1319	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1320	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1321	#121	—	2	1	no	—
1322	#121	—	2	1	no	—
1323	#121	—	2	1	no	—
1324	#121	—	2	1	no	—
1325	#121	—	2	1	no	—
1326	#121	—	2	1	no	—
1327	#121	—	2	1	no	—
1328	#121	—	2	1	no	—
1329	#121	—	2	1	no	—
1330	#121	—	2	1	no	—
1331	#121	—	2	1	no	—
1332	#121	—	2	1	no	—
1333	#121	—	2	1	no	—
1334	#121	—	2	1	no	—
1335	#121	—	2	1	no	—
1336	#121	—	2	1	no	—
1337	#121	—	2	1	no	—
1338	#121	—	2	1	no	—
1339	#121	—	2	1	no	—
1340	#121	—	2	1	no	—
1341	#121	—	2	1	no	—
1342	#121	—	2	1	no	—
1343	#121	—	2	1	no	—
1344	#121	—	2	1	no	—
1345	#121	D₄×C₂₃	1	1	yes	characteristic
1346	#121	D₄×C₂₃	1	1	yes	characteristic
1347	#121	C₂³×C₂₃	1	1	yes	characteristic
1348	#121	C₂³×C₂₃	1	1	yes	characteristic
1349	#121	C₂³×C₂₃	1	1	yes	characteristic
1350	#121	C₂³×C₂₃	1	1	yes	characteristic
1351	#121	C₂³×C₂₃	1	1	yes	characteristic
1352	#121	C₂³×C₂₃	1	1	yes	characteristic
1353	#121	C₂³×C₂₃	1	1	yes	characteristic
1354	#121	C₂³×C₂₃	1	1	yes	characteristic
1355	#121	C₂³×C₂₃	1	1	yes	characteristic
1356	#121	C₂³×C₂₃	1	1	yes	characteristic
1357	#121	C₂³×C₂₃	1	1	yes	characteristic
1358	#121	C₂³×C₂₃	1	1	yes	characteristic
1359	#121	C₂³×C₂₃	1	1	yes	characteristic, complemented
1360	#121	C₂³×C₂₃	1	1	yes	characteristic, complemented
1361	#121	C₂³×C₂₃	1	1	yes	characteristic, complemented
1362	#120	—	2	1	no	—
1363	#120	—	2	1	no	—
1364	#120	—	2	1	no	—
1365	#120	—	2	1	no	—
1366	#120	—	2	1	no	—
1367	#120	—	2	1	no	—
1368	#120	—	2	1	no	—
1369	#120	—	2	1	no	—
1370	#120	—	2	1	no	—
1371	#120	—	2	1	no	—
1372	#120	—	2	1	no	—
1373	#120	—	2	1	no	—
1374	#120	—	2	1	no	—
1375	#120	—	2	1	no	—
1376	#120	—	2	1	no	—
1377	#120	—	2	1	no	—
1378	#120	—	2	1	no	—
1379	#120	—	2	1	no	—
1380	#120	—	2	1	no	—
1381	#120	—	2	1	no	—
1382	#120	—	2	1	no	—
1383	#120	—	2	1	no	—
1384	#120	—	2	1	no	—
1385	#120	—	2	1	no	—
1386	#120	D₄×C₂₃	1	1	yes	characteristic
1387	#120	D₄×C₂₃	1	1	yes	characteristic
1388	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1389	C₄×D₄	—	2	1	no	—
1390	C₄×D₄	—	2	1	no	—
1391	C₄×D₄	—	2	1	no	—
1392	C₄×D₄	—	2	1	no	—
1393	C₄×D₄	—	2	1	no	—
1394	C₄×D₄	—	2	1	no	—
1395	C₄×D₄	—	2	1	no	—
1396	C₄×D₄	—	2	1	no	—
1397	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1398	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1399	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1400	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1401	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1402	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1403	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1404	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1405	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
1406	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
1407	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
1408	#117	—	2	1	no	—
1409	#117	—	2	1	no	—
1410	#117	C₂³×C₂₃	1	1	yes	characteristic
1411	#117	C₂³×C₂₃	1	1	yes	characteristic
1412	#117	C₂³×C₂₃	1	1	yes	characteristic
1413	#117	C₂³×C₂₃	1	1	yes	characteristic, complemented
1414	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1415	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic, complemented
1416	C₂×C₂²⋊C₄	—	2	1	no	—
1417	C₂×C₂²⋊C₄	—	2	1	no	—
1418	C₂×C₂²⋊C₄	—	2	1	no	—
1419	C₂×C₂²⋊C₄	—	2	1	no	—
1420	C₂×C₂²⋊C₄	—	2	1	no	—
1421	C₂×C₂²⋊C₄	—	2	1	no	—
1422	C₂×C₂²⋊C₄	—	2	1	no	—
1423	C₂×C₂²⋊C₄	—	2	1	no	—
1424	C₂×C₂²⋊C₄	—	2	1	no	—
1425	#107	C₂³×C₂₃	1	1	yes	characteristic, complemented
1426	#107	C₂³×C₂₃	1	1	yes	characteristic, complemented
1427	#107	C₂³×C₂₃	1	1	yes	characteristic, complemented
1428	#107	C₂³×C₂₃	1	1	yes	characteristic, complemented
1429	#106	C₂³×C₂₃	1	1	yes	characteristic, complemented
1430	#106	C₂³×C₂₃	1	1	yes	characteristic, complemented
1431	#106	C₂³×C₂₃	1	1	yes	characteristic, complemented
1432	#106	C₂³×C₂₃	1	1	yes	characteristic, complemented
1433	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1434	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1435	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1436	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1437	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1438	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1439	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1440	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1441	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1442	#103	C₂³×C₂₃	1	1	yes	characteristic, complemented
1443	#102	C₂³×C₂₃	1	1	yes	characteristic
1444	#102	C₂³×C₂₃	1	1	yes	characteristic
1445	#102	C₂³×C₂₃	1	1	yes	characteristic
1446	#102	C₂³×C₂₃	1	1	yes	characteristic
1447	#102	C₂³×C₂₃	1	1	yes	characteristic
1448	#102	C₂³×C₂₃	1	1	yes	characteristic
1449	#102	C₂³×C₂₃	1	1	yes	characteristic
1450	#102	C₂³×C₂₃	1	1	yes	characteristic
1451	#102	C₂³×C₂₃	1	1	yes	characteristic
1452	#102	C₂³×C₂₃	1	1	yes	characteristic
1453	#102	C₂³×C₂₃	1	1	yes	characteristic
1454	#102	C₂³×C₂₃	1	1	yes	characteristic
1455	#102	C₂³×C₂₃	1	1	yes	characteristic
1456	#102	C₂³×C₂₃	1	1	yes	characteristic
1457	#102	C₂³×C₂₃	1	1	yes	characteristic
1458	#102	C₂³×C₂₃	1	1	yes	characteristic
1459	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1460	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1461	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1462	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1463	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1464	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1465	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1466	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1467	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1468	#102	C₂³×C₂₃	1	1	yes	characteristic, complemented
1469	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1470	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1471	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1472	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1473	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1474	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1475	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1476	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1477	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1478	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1479	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1480	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1481	#97	C₂³×C₂₃	1	1	yes	characteristic, complemented
1482	#97	C₂³×C₂₃	1	1	yes	characteristic, complemented
1483	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1484	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic, complemented
1485	C₂₃	#61609	1	1	yes	characteristic, direct product factor, Sylow
1486	C₂⁴	—	2	1	no	—
1487	C₂⁴	—	2	1	no	—
1488	C₂⁴	—	2	1	no	—
1489	C₂⁴	—	2	1	no	—
1490	C₂⁴	—	2	1	no	—
1491	C₂⁴	—	2	1	no	—
1492	C₂⁴	—	2	1	no	—
1493	C₂⁴	—	2	1	no	—
1494	C₂⁴	—	2	1	no	—
1495	C₂⁴	—	2	1	no	—
1496	C₂⁴	—	4	4	no	—
1497	C₂⁴	—	8	2	no	—
1498	C₂⁴	—	8	2	no	—
1499	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1500	#41	—	2	2	no	—
1501	#41	—	2	2	no	—
1502	#41	—	4	1	no	—
1503	#41	—	4	1	no	—
1504	#41	—	4	1	no	—
1505	#41	—	4	1	no	—
1506	#41	—	4	1	no	—
1507	#41	—	4	1	no	—
1508	#41	—	4	1	no	—
1509	#41	—	4	1	no	—
1510	#41	—	4	1	no	—
1511	#41	—	4	1	no	—
1512	#41	—	4	4	no	—
1513	#41	—	8	2	no	—
1514	C₂×Q₈	—	2	1	no	—
1515	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
1516	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1517	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1518	C₂×D₄	—	2	2	no	—
1519	C₂×D₄	—	2	2	no	—
1520	C₂×D₄	—	2	2	no	—
1521	C₂×D₄	—	2	2	no	—
1522	C₂×D₄	—	2	2	no	—
1523	C₂×D₄	—	2	2	no	—
1524	C₂×D₄	—	2	2	no	—
1525	C₂×D₄	—	2	2	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	2	1	no	—
1531	C₂×D₄	—	2	1	no	—
1532	C₂×D₄	—	2	1	no	—
1533	C₂×D₄	—	2	1	no	—
1534	C₂×D₄	—	2	1	no	—
1535	C₂×D₄	—	2	1	no	—
1536	C₂×D₄	—	2	1	no	—
1537	C₂×D₄	—	2	1	no	—
1538	C₂×D₄	—	2	1	no	—
1539	C₂×D₄	—	2	1	no	—
1540	C₂×D₄	—	2	1	no	—
1541	C₂×D₄	—	2	1	no	—
1542	C₂×D₄	—	2	1	no	—
1543	C₂×D₄	—	2	1	no	—
1544	C₂×D₄	—	2	1	no	—
1545	C₂×D₄	—	2	1	no	—
1546	C₂×D₄	—	2	1	no	—
1547	C₂×D₄	—	2	1	no	—
1548	C₂×D₄	—	2	1	no	—
1549	C₂×D₄	—	2	1	no	—
1550	C₂×D₄	—	2	1	no	—
1551	C₂×D₄	—	2	1	no	—
1552	C₂×D₄	—	2	1	no	—
1553	C₂×D₄	—	2	1	no	—
1554	C₂×D₄	—	2	1	no	—
1555	C₂×D₄	—	2	1	no	—
1556	C₂×D₄	—	2	1	no	—
1557	C₂×D₄	—	2	1	no	—
1558	C₂×D₄	—	2	1	no	—
1559	C₂×D₄	—	2	1	no	—
1560	C₂×D₄	—	2	1	no	—
1561	C₂×D₄	—	2	1	no	—
1562	C₂×D₄	—	4	1	no	—
1563	C₂×D₄	—	4	1	no	—
1564	C₂×D₄	—	4	1	no	—
1565	C₂×D₄	—	4	1	no	—
1566	C₂×D₄	—	4	1	no	—
1567	C₂×D₄	—	4	1	no	—
1568	C₂×D₄	—	4	1	no	—
1569	C₂×D₄	—	4	1	no	—
1570	C₂×D₄	—	4	1	no	—
1571	C₂×D₄	—	4	1	no	—
1572	C₂×D₄	—	4	1	no	—
1573	C₂×D₄	—	4	1	no	—
1574	C₂×D₄	—	4	4	no	—
1575	C₂×D₄	—	4	4	no	—
1576	C₂×D₄	—	4	4	no	—
1577	C₂×D₄	—	4	4	no	—
1578	C₂×D₄	—	4	4	no	—
1579	C₂×D₄	—	4	4	no	—
1580	C₂×D₄	—	8	2	no	—
1581	C₂×D₄	—	8	2	no	—
1582	C₂×D₄	—	8	2	no	—
1583	C₂×D₄	—	8	2	no	—
1584	C₂×D₄	—	8	2	no	—
1585	C₂×D₄	—	8	2	no	—
1586	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1587	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1588	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1589	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1590	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1591	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1592	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1593	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1594	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1595	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1596	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1597	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1598	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1599	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1600	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1601	C₂²×C₄	—	2	1	no	—
1602	C₂²×C₄	—	2	1	no	—
1603	C₂²×C₄	—	2	1	no	—
1604	C₂²×C₄	—	2	1	no	—
1605	C₂²×C₄	—	2	1	no	—
1606	C₂²×C₄	—	2	1	no	—
1607	C₂²×C₄	—	2	1	no	—
1608	C₂²×C₄	—	2	1	no	—
1609	C₂²×C₄	—	2	1	no	—
1610	C₂²×C₄	—	2	1	no	—
1611	C₂²×C₄	—	2	1	no	—
1612	C₂²×C₄	—	2	1	no	—
1613	C₂²×C₄	—	2	1	no	—
1614	C₂²×C₄	—	2	1	no	—
1615	C₂²×C₄	—	4	1	no	—
1616	C₂²×C₄	—	4	1	no	—
1617	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1618	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1619	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1620	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1621	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1622	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1623	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1624	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1625	Q₁₆	—	4	1	no	—
1626	SD₁₆	—	2	2	no	—
1627	SD₁₆	—	2	2	no	—
1628	SD₁₆	—	4	1	no	—
1629	SD₁₆	—	4	1	no	—
1630	SD₁₆	—	4	1	no	—
1631	SD₁₆	—	4	1	no	—
1632	SD₁₆	—	4	1	no	—
1633	SD₁₆	—	4	1	no	—
1634	D₈	—	2	2	no	—
1635	D₈	—	2	2	no	—
1636	D₈	—	2	2	no	—
1637	D₈	—	2	2	no	—
1638	D₈	—	2	2	no	—
1639	D₈	—	2	2	no	—
1640	D₈	—	4	1	no	—
1641	D₈	—	4	1	no	—
1642	D₈	—	4	1	no	—
1643	D₈	—	4	1	no	—
1644	D₈	—	4	1	no	—
1645	D₈	—	4	1	no	—
1646	D₈	—	4	1	no	—
1647	D₈	—	4	1	no	—
1648	D₈	—	4	1	no	—
1649	M₁₆	—	4	1	no	—
1650	M₁₆	—	4	1	no	—
1651	M₁₆	—	4	1	no	—
1652	M₁₆	—	4	1	no	—
1653	C₂×C₈	—	4	1	no	—
1654	C₂×C₈	—	4	1	no	—
1655	C₂×C₈	—	4	1	no	—
1656	C₂×C₈	—	4	1	no	—
1657	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1658	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1659	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1660	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1661	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1662	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1663	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1664	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1665	C₄⋊C₄	—	2	1	no	—
1666	C₄⋊C₄	—	2	1	no	—
1667	C₄⋊C₄	—	2	1	no	—
1668	C₄⋊C₄	—	2	1	no	—
1669	C₄⋊C₄	—	2	1	no	—
1670	C₄⋊C₄	—	2	1	no	—
1671	C₄⋊C₄	—	2	1	no	—
1672	C₄⋊C₄	—	2	1	no	—
1673	C₄⋊C₄	—	2	1	no	—
1674	C₄⋊C₄	—	2	1	no	—
1675	C₄⋊C₄	—	2	1	no	—
1676	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1677	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1678	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1679	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1680	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1681	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1682	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1683	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1684	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1685	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1686	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1687	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	2	1	no	—
1695	C₂²⋊C₄	—	2	1	no	—
1696	C₂²⋊C₄	—	2	1	no	—
1697	C₂²⋊C₄	—	2	1	no	—
1698	C₂²⋊C₄	—	2	1	no	—
1699	C₂²⋊C₄	—	2	1	no	—
1700	C₂²⋊C₄	—	2	1	no	—
1701	C₂²⋊C₄	—	2	1	no	—
1702	C₂²⋊C₄	—	2	1	no	—
1703	C₂²⋊C₄	—	2	1	no	—
1704	C₂²⋊C₄	—	2	1	no	—
1705	C₂²⋊C₄	—	2	1	no	—
1706	C₂²⋊C₄	—	2	1	no	—
1707	C₂²⋊C₄	—	2	1	no	—
1708	C₂²⋊C₄	—	2	1	no	—
1709	C₂²⋊C₄	—	2	1	no	—
1710	C₂²⋊C₄	—	2	1	no	—
1711	C₂²⋊C₄	—	2	1	no	—
1712	C₂²⋊C₄	—	2	1	no	—
1713	C₂²⋊C₄	—	2	1	no	—
1714	C₂²⋊C₄	—	2	1	no	—
1715	C₂²⋊C₄	—	2	1	no	—
1716	C₂²⋊C₄	—	2	1	no	—
1717	C₂²⋊C₄	—	2	1	no	—
1718	C₂²⋊C₄	—	2	1	no	—
1719	C₂²⋊C₄	—	2	1	no	—
1720	C₂²⋊C₄	—	2	1	no	—
1721	C₂²⋊C₄	—	2	1	no	—
1722	C₂²⋊C₄	—	2	1	no	—
1723	C₂²⋊C₄	—	2	1	no	—
1724	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1725	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1726	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1728	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1729	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1730	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1731	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1732	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1733	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1734	C₄²	—	2	1	no	—
1735	C₄²	—	2	1	no	—
1736	C₄²	—	2	1	no	—
1737	C₄²	—	2	1	no	—
1738	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1739	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1740	C₂³	—	2	4	no	—
1741	C₂³	—	2	2	no	—
1742	C₂³	—	2	1	no	—
1743	C₂³	—	2	1	no	—
1744	C₂³	—	2	1	no	—
1745	C₂³	—	2	1	no	—
1746	C₂³	—	2	1	no	—
1747	C₂³	—	2	1	no	—
1748	C₂³	—	2	1	no	—
1749	C₂³	—	2	1	no	—
1750	C₂³	—	4	1	no	—
1751	C₂³	—	4	1	no	—
1752	C₂³	—	4	2	no	—
1753	C₂³	—	4	2	no	—
1754	C₂³	—	4	2	no	—
1755	C₂³	—	4	2	no	—
1756	C₂³	—	4	2	no	—
1757	C₂³	—	4	2	no	—
1758	C₂³	—	4	2	no	—
1759	C₂³	—	4	2	no	—
1760	C₂³	—	4	2	no	—
1761	C₂³	—	4	2	no	—
1762	C₂³	—	4	2	no	—
1763	C₂³	—	4	2	no	—
1764	C₂³	—	8	1	no	—
1765	C₂³	—	8	1	no	—
1766	C₂³	—	8	1	no	—
1767	C₂³	—	8	1	no	—
1768	C₂³	—	8	1	no	—
1769	C₂³	—	8	1	no	—
1770	C₂³	—	8	1	no	—
1771	C₂³	—	8	1	no	—
1772	C₂³	—	8	1	no	—
1773	C₂³	—	8	1	no	—
1774	C₂³	—	8	1	no	—
1775	C₂³	—	8	1	no	—
1776	C₂³	—	8	1	no	—
1777	C₂³	—	8	1	no	—
1778	C₂³	—	8	1	no	—
1779	C₂³	—	8	1	no	—
1780	C₂³	—	8	1	no	—
1781	C₂³	—	8	16	no	—
1782	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1783	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1784	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1785	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1786	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1787	Q₈	—	2	1	no	—
1788	Q₈	—	2	1	no	—
1789	Q₈	—	2	1	no	—
1790	Q₈	—	2	1	no	—
1791	Q₈	—	4	1	no	—
1792	Q₈	—	8	1	no	—
1793	D₄	—	2	4	no	—
1794	D₄	—	2	2	no	—
1795	D₄	—	2	2	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	2	1	no	—
1800	D₄	—	2	1	no	—
1801	D₄	—	2	1	no	—
1802	D₄	—	2	1	no	—
1803	D₄	—	2	1	no	—
1804	D₄	—	2	1	no	—
1805	D₄	—	2	1	no	—
1806	D₄	—	2	1	no	—
1807	D₄	—	2	1	no	—
1808	D₄	—	2	1	no	—
1809	D₄	—	2	1	no	—
1810	D₄	—	4	1	no	—
1811	D₄	—	4	1	no	—
1812	D₄	—	4	1	no	—
1813	D₄	—	4	1	no	—
1814	D₄	—	4	1	no	—
1815	D₄	—	4	2	no	—
1816	D₄	—	4	2	no	—
1817	D₄	—	4	2	no	—
1818	D₄	—	4	2	no	—
1819	D₄	—	4	2	no	—
1820	D₄	—	4	2	no	—
1821	D₄	—	4	2	no	—
1822	D₄	—	4	2	no	—
1823	D₄	—	4	2	no	—
1824	D₄	—	4	2	no	—
1825	D₄	—	4	2	no	—
1826	D₄	—	4	2	no	—
1827	D₄	—	4	2	no	—
1828	D₄	—	8	1	no	—
1829	D₄	—	8	1	no	—
1830	D₄	—	8	1	no	—
1831	D₄	—	8	1	no	—
1832	D₄	—	8	1	no	—
1833	D₄	—	8	1	no	—
1834	D₄	—	8	1	no	—
1835	D₄	—	8	1	no	—
1836	D₄	—	8	1	no	—
1837	D₄	—	8	1	no	—
1838	D₄	—	8	1	no	—
1839	D₄	—	8	1	no	—
1840	D₄	—	8	1	no	—
1841	D₄	—	8	1	no	—
1842	D₄	—	8	1	no	—
1843	D₄	—	8	1	no	—
1844	D₄	—	8	1	no	—
1845	D₄	—	8	1	no	—
1846	D₄	—	8	1	no	—
1847	D₄	—	8	1	no	—
1848	D₄	—	8	1	no	—
1849	D₄	—	8	1	no	—
1850	D₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1851	D₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	2	1	no	—
1857	C₂×C₄	—	2	1	no	—
1858	C₂×C₄	—	2	1	no	—
1859	C₂×C₄	—	2	1	no	—
1860	C₂×C₄	—	2	1	no	—
1861	C₂×C₄	—	2	1	no	—
1862	C₂×C₄	—	2	1	no	—
1863	C₂×C₄	—	2	1	no	—
1864	C₂×C₄	—	2	1	no	—
1865	C₂×C₄	—	2	1	no	—
1866	C₂×C₄	—	2	1	no	—
1867	C₂×C₄	—	2	1	no	—
1868	C₂×C₄	—	2	1	no	—
1869	C₂×C₄	—	2	1	no	—
1870	C₂×C₄	—	4	1	no	—
1871	C₂×C₄	—	4	1	no	—
1872	C₂×C₄	—	4	1	no	—
1873	C₂×C₄	—	4	2	no	—
1874	C₂×C₄	—	4	2	no	—
1875	C₂×C₄	—	4	2	no	—
1876	C₂×C₄	—	4	2	no	—
1877	C₂×C₄	—	8	1	no	—
1878	C₂×C₄	—	8	1	no	—
1879	C₂×C₄	—	8	1	no	—
1880	C₂×C₄	—	8	1	no	—
1881	C₂×C₄	—	8	1	no	—
1882	C₂×C₄	—	8	1	no	—
1883	C₂×C₄	—	8	1	no	—
1884	C₂×C₄	—	8	1	no	—
1885	C₂×C₄	—	8	1	no	—
1886	C₂×C₄	—	8	1	no	—
1887	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1888	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1889	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1890	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1891	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1892	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1893	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1894	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1895	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1896	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1897	C₈	—	2	1	no	—
1898	C₈	—	2	1	no	—
1899	C₈	—	2	1	no	—
1900	C₈	—	2	1	no	—
1901	C₈	—	2	1	no	—
1902	C₈	—	2	1	no	—
1903	C₈	—	2	1	no	—
1904	C₈	—	2	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	2	no	—
1912	C₂²	—	2	2	no	—
1913	C₂²	—	2	1	no	—
1914	C₂²	—	2	1	no	—
1915	C₂²	—	2	1	no	—
1916	C₂²	—	2	1	no	—
1917	C₂²	—	2	1	no	—
1918	C₂²	—	2	1	no	—
1919	C₂²	—	2	1	no	—
1920	C₂²	—	2	1	no	—
1921	C₂²	—	4	4	no	—
1922	C₂²	—	4	1	no	—
1923	C₂²	—	4	1	no	—
1924	C₂²	—	4	1	no	—
1925	C₂²	—	4	1	no	—
1926	C₂²	—	4	1	no	—
1927	C₂²	—	4	1	no	—
1928	C₂²	—	4	1	no	—
1929	C₂²	—	4	1	no	—
1930	C₂²	—	4	1	no	—
1931	C₂²	—	4	1	no	—
1932	C₂²	—	4	1	no	—
1933	C₂²	—	4	1	no	—
1934	C₂²	—	4	1	no	—
1935	C₂²	—	4	1	no	—
1936	C₂²	—	4	1	no	—
1937	C₂²	—	4	1	no	—
1938	C₂²	—	4	1	no	—
1939	C₂²	—	4	1	no	—
1940	C₂²	—	4	1	no	—
1941	C₂²	—	4	1	no	—
1942	C₂²	—	4	1	no	—
1943	C₂²	—	4	1	no	—
1944	C₂²	—	8	4	no	—
1945	C₂²	—	8	4	no	—
1946	C₂²	—	8	4	no	—
1947	C₂²	—	8	4	no	—
1948	C₂²	—	8	4	no	—
1949	C₂²	—	8	4	no	—
1950	C₂²	—	16	2	no	—
1951	C₂²	—	16	2	no	—
1952	C₂²	—	16	2	no	—
1953	C₂²	—	16	2	no	—
1954	C₂²	C₂₃×#576	1	2	yes	—
1955	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	2	1	no	—
1960	C₄	—	2	1	no	—
1961	C₄	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	4	1	no	—
1966	C₄	—	4	1	no	—
1967	C₄	—	4	1	no	—
1968	C₄	—	4	1	no	—
1969	C₄	—	4	1	no	—
1970	C₄	—	4	1	no	—
1971	C₄	—	4	1	no	—
1972	C₄	—	4	1	no	—
1973	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1974	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1975	C₂	—	2	2	no	—
1976	C₂	—	4	1	no	—
1977	C₂	—	4	1	no	—
1978	C₂	—	4	1	no	—
1979	C₂	—	4	1	no	—
1980	C₂	—	4	2	no	—
1981	C₂	—	4	2	no	—
1982	C₂	—	8	1	no	—
1983	C₂	—	8	1	no	—
1984	C₂	—	8	1	no	—
1985	C₂	—	8	1	no	—
1986	C₂	—	8	1	no	—
1987	C₂	—	8	1	no	—
1988	C₂	C₂₃×#3484	1	1	yes	characteristic
1989	C₂	C₂×C₂₃×#576	1	1	yes	characteristic
1990	C₂	C₂₃×#3585	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₃×#3542	C₂	semidirect
2. C₂₃×#3484	C₂	semidirect
3. C₂₃×#3325	C₂	semidirect
4. C₂₃×#3322	C₂	semidirect
5. C₂₃×#3319	C₂	semidirect
6. C₂₃×#3318	C₂	semidirect
7. C₂₃×#3310	C₂	semidirect
8. C₂₃×#3306	C₂	semidirect
9. C₂₃×#3296	C₂	semidirect
10. C₂₃×#3294	C₂	semidirect
11. C₂₃×#3280	C₂	semidirect
12. D₄×D₈×C₂₃	C₂	semidirect
13. C₂₃×#3274	C₂	semidirect
14. C₂₃×#3273	C₂	semidirect
15. C₂₃×#3268	C₂	semidirect
16. C₂₃×#3264	C₂	semidirect
17. C₂₃×#3264	C₂	semidirect
18. C₂₃×#3264	C₂	semidirect
19. C₂₃×#3224	C₂	semidirect
20. C₂₃×#3220	C₂	semidirect
21. C₂₃×#3199	C₂	semidirect
22. C₂₃×#3198	C₂	semidirect
23. C₂₃×#3194	C₂	semidirect
24. C₂₃×#3191	C₂	semidirect
25. C₂₃×#3122	C₂	semidirect
26. C₂₃×#3118	C₂	semidirect
27. C₂₃×#3012	C₂	semidirect
28. C₂₃×#3008	C₂	semidirect
29. C₂₃×#3003	C₂	semidirect
30. C₂×C₂₃×#447	C₂	semidirect
31. C₂₃×#2976	C₂	semidirect
32. C₂×C₂₃×H(5,𝔽₂)	C₂²	semidirect
33. C₂³×D₄×C₂₃	C₂²	semidirect
34. C₂×C₂₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₂₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₂₃×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₂₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₂₃×#135	C₂²	semidirect
39. C₂²×D₈×C₂₃	C₂²	semidirect
40. C₂²×D₈×C₂₃	C₂²	semidirect
41. C₂²×D₈×C₂₃	C₂²	semidirect
44. C₂₃×#555	C₂²	semidirect
45. C₂₃×#553	C₂²	semidirect
46. C₂₃×#552	C₂²	semidirect
48. C₂₃×#550	C₂²	semidirect
49. C₂₃×#547	C₂²	semidirect
54. C₂₃×#546	C₂²	semidirect
55. C₂₃×#546	C₂²	semidirect
56. C₂₃×#546	C₂²	semidirect
57. C₂₃×#546	C₂²	semidirect
58. C₂₃×#546	C₂²	semidirect
62. D₄²×C₂₃	C₂²	semidirect
63. D₄²×C₂₃	C₂²	semidirect
64. D₄²×C₂₃	C₂²	semidirect
65. D₄²×C₂₃	C₂²	semidirect
66. C₂₃×#542	C₂²	semidirect
68. C₂₃×#540	C₂²	semidirect
70. C₂₃×#537	C₂²	semidirect
72. C₂₃×#535	C₂²	semidirect
73. C₂₃×#535	C₂²	semidirect
74. C₂₃×#535	C₂²	semidirect
79. C₂₃×#525	C₂²	semidirect
80. C₂₃×#525	C₂²	semidirect
81. C₂×C₂₃×#121	C₂²	semidirect
84. C₂₃×#518	C₂²	semidirect
85. C₂₃×#496	C₂²	semidirect
86. C₂₃×#496	C₂²	semidirect
87. C₂₃×#495	C₂²	semidirect
88. C₂₃×#493	C₂²	semidirect
89. C₂₃×#490	C₂²	semidirect
90. C₂₃×#489	C₂²	semidirect
91. C₂₃×#488	C₂²	semidirect
92. C₂₃×#486	C₂²	semidirect
93. C₂₃×#485	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#483	C₂²	semidirect
96. C₂₃×#482	C₂²	semidirect
97. C₂₃×#482	C₂²	semidirect
98. C₂₃×#482	C₂²	semidirect
99. C₂₃×#482	C₂²	semidirect
100. C₂₃×#482	C₂²	semidirect
101. C₂₃×#482	C₂²	semidirect
102. C₂₃×#481	C₂²	semidirect
103. C₂₃×#480	C₂²	semidirect
104. C₂₃×#480	C₂²	semidirect
105. C₂₃×#478	C₂²	semidirect
106. C₂₃×#478	C₂²	semidirect
107. C₂₃×#476	C₂²	semidirect
108. C₂₃×#474	C₂²	semidirect
109. C₂₃×#469	C₂²	semidirect
110. C₂₃×#469	C₂²	semidirect
111. C₂₃×#469	C₂²	semidirect
112. C₂₃×#469	C₂²	semidirect
113. C₂₃×#469	C₂²	semidirect
114. C₂₃×#468	C₂²	semidirect
115. C₂₃×#468	C₂²	semidirect
116. C₂₃×#468	C₂²	semidirect
117. C₂₃×#467	C₂²	semidirect
118. C₂₃×#466	C₂²	semidirect
119. C₂₃×#466	C₂²	semidirect
120. C₂₃×#466	C₂²	semidirect
121. C₂₃×#466	C₂²	semidirect
122. C₂₃×#465	C₂²	semidirect
123. C₂₃×#465	C₂²	semidirect
124. C₂₃×#465	C₂²	semidirect
125. C₂₃×#464	C₂²	semidirect
126. C₂₃×#463	C₂²	semidirect
127. C₂₃×#463	C₂²	semidirect
128. C₂₃×#463	C₂²	semidirect
129. C₂₃×#463	C₂²	semidirect
130. C₂₃×#463	C₂²	semidirect
131. C₂₃×#460	C₂²	semidirect
132. C₂₃×#459	C₂²	semidirect
133. C₂₃×#459	C₂²	semidirect
134. C₂₃×#459	C₂²	semidirect
135. C₂₃×#459	C₂²	semidirect
136. C₂₃×#459	C₂²	semidirect
137. C₂₃×#452	C₂²	semidirect
138. C₂₃×#452	C₂²	semidirect
139. C₂₃×#452	C₂²	semidirect
140. C₂₃×#450	C₂²	semidirect
141. C₂₃×#450	C₂²	semidirect
142. C₂₃×#450	C₂²	semidirect
143. C₂₃×#450	C₂²	semidirect
144. C₂₃×#450	C₂²	semidirect
145. C₂₃×#450	C₂²	semidirect
146. C₂₃×#449	C₂²	semidirect
147. C₂₃×#449	C₂²	semidirect
148. C₂₃×#449	C₂²	semidirect
149. C₂₃×#449	C₂²	semidirect
150. C₂₃×#449	C₂²	semidirect
151. C₂₃×#449	C₂²	semidirect
152. C₂₃×#449	C₂²	semidirect
153. C₂₃×#449	C₂²	semidirect
154. C₂₃×#449	C₂²	semidirect
156. C₂₃×#447	C₂²	semidirect
157. C₂₃×#447	C₂²	semidirect
158. C₂₃×#447	C₂²	semidirect
159. C₂₃×#447	C₂²	semidirect
160. C₂₃×#447	C₂²	semidirect
161. C₂₃×#447	C₂²	semidirect
162. C₂₃×#447	C₂²	semidirect
163. C₂₃×#447	C₂²	semidirect
164. C₂₃×#447	C₂²	semidirect
165. C₂₃×#447	C₂²	semidirect
166. C₂₃×#447	C₂²	semidirect
167. C₂₃×#447	C₂²	semidirect
168. C₂₃×#447	C₂²	semidirect
169. C₂₃×#447	C₂²	semidirect
170. C₂₃×#447	C₂²	semidirect
171. C₂₃×#447	C₂²	semidirect
172. C₂₃×#447	C₂²	semidirect
173. C₂₃×#442	C₂²	semidirect
174. C₂₃×#442	C₂²	semidirect
175. C₂₃×#442	C₂²	semidirect
176. C₂₃×#440	C₂²	semidirect
177. C₄×SD₁₆×C₂₃	C₂²	semidirect
178. C₄×D₈×C₂₃	C₂²	semidirect
179. C₄×D₈×C₂₃	C₂²	semidirect
180. C₄×D₈×C₂₃	C₂²	semidirect
181. C₂₃×#436	C₂²	semidirect
182. C₂₃×#436	C₂²	semidirect
183. C₂₃×#435	C₂²	semidirect
184. C₂₃×#435	C₂²	semidirect
185. C₂₃×#435	C₂²	semidirect
186. C₂₃×#435	C₂²	semidirect
187. C₈×D₄×C₂₃	C₂²	semidirect
188. C₈×D₄×C₂₃	C₂²	semidirect
189. C₂₃×#433	C₂²	semidirect
190. C₂₃×#433	C₂²	semidirect
191. C₂₃×#418	C₂²	semidirect
192. C₂₃×#418	C₂²	semidirect
193. C₂₃×#418	C₂²	semidirect
194. C₂₃×#417	C₂²	semidirect
195. C₂₃×#416	C₂²	semidirect
196. C₂×C₂₃×#102	C₂²	semidirect
197. C₂×C₂₃×#102	C₂²	semidirect
198. C₂×C₂₃×#102	C₂²	semidirect
199. C₂₃×#408	C₂²	semidirect
200. C₂₃×#408	C₂²	semidirect
201. C₂₃×#407	C₂²	semidirect
202. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
213. C₂×#41×C₂₃	C₂³	semidirect
237. C₂²×D₄×C₂₃	C₂³	semidirect
244. C₂×Q₁₆×C₂₃	C₂³	semidirect
249. C₂×SD₁₆×C₂₃	C₂³	semidirect
250. C₂×SD₁₆×C₂₃	C₂³	semidirect
251. C₂×SD₁₆×C₂₃	C₂³	semidirect
252. C₂×SD₁₆×C₂₃	C₂³	semidirect
268. C₂×D₈×C₂₃	C₂³	semidirect
269. C₂×D₈×C₂₃	C₂³	semidirect
270. C₂×D₈×C₂₃	C₂³	semidirect
273. C₂×M₁₆×C₂₃	C₂³	semidirect
274. C₂×M₁₆×C₂₃	C₂³	semidirect
277. C₂²×C₈×C₂₃	C₂³	semidirect
278. C₂²×C₈×C₂₃	C₂³	semidirect
279. C₂₃×C₄⋊Q₈	C₂³	semidirect
285. C₂₃×#127	C₂³	semidirect
290. C₂₃×#125	C₂³	semidirect
298. C₂₃×#124	C₂³	semidirect
325. C₂₃×C₂²⋊Q₈	C₂³	semidirect
364. C₂₃×#121	C₂³	semidirect
365. C₂₃×#121	C₂³	semidirect
366. C₂₃×#121	C₂³	semidirect
393. C₄×Q₈×C₂₃	C₂³	semidirect
410. C₄×D₄×C₂₃	C₂³	semidirect
411. C₄×D₄×C₂₃	C₂³	semidirect
412. C₄×D₄×C₂₃	C₂³	semidirect
418. C₂₃×#117	C₂³	semidirect
420. C₂×C₄⋊C₄×C₂₃	C₂³	semidirect
430. C₂₃×#107	C₂³	semidirect
431. C₂₃×#107	C₂³	semidirect
432. C₂₃×#107	C₂³	semidirect
433. C₂₃×#107	C₂³	semidirect
434. C₂₃×#106	C₂³	semidirect
435. C₂₃×#106	C₂³	semidirect
436. C₂₃×#106	C₂³	semidirect
437. C₂₃×#106	C₂³	semidirect
438. C₂₃×C₄⋊C₈	C₂³	semidirect
439. C₂₃×C₄⋊C₈	C₂³	semidirect
440. C₂₃×C₄⋊C₈	C₂³	semidirect
441. C₂₃×C₄⋊C₈	C₂³	semidirect
442. C₂₃×#103	C₂³	semidirect
443. C₂₃×#103	C₂³	semidirect
444. C₂₃×#103	C₂³	semidirect
445. C₂₃×#103	C₂³	semidirect
446. C₂₃×#103	C₂³	semidirect
447. C₂₃×#103	C₂³	semidirect
464. C₂₃×#102	C₂³	semidirect
465. C₂₃×#102	C₂³	semidirect
466. C₂₃×#102	C₂³	semidirect
467. C₂₃×#102	C₂³	semidirect
468. C₂₃×#102	C₂³	semidirect
469. C₂₃×#102	C₂³	semidirect
470. C₂₃×#102	C₂³	semidirect
471. C₂₃×#102	C₂³	semidirect
472. C₂₃×#102	C₂³	semidirect
473. C₂₃×#102	C₂³	semidirect
482. C₂₃×C₂²⋊C₈	C₂³	semidirect
483. C₂₃×C₂²⋊C₈	C₂³	semidirect
484. C₂₃×C₂²⋊C₈	C₂³	semidirect
485. C₂₃×C₂²⋊C₈	C₂³	semidirect
486. C₂₃×#97	C₂³	semidirect
487. C₂₃×#97	C₂³	semidirect
488. C₄×C₈×C₂₃	C₂³	semidirect
489. C₄×C₈×C₂₃	C₂³	semidirect
744. #61609	C₂₃	direct (N × H)
910. #3542	C₂×C₂₃	semidirect
911. #3484	C₂×C₂₃	semidirect
912. #3325	C₂×C₂₃	semidirect
913. #3322	C₂×C₂₃	semidirect
914. #3319	C₂×C₂₃	semidirect
915. #3318	C₂×C₂₃	semidirect
916. #3310	C₂×C₂₃	semidirect
917. #3306	C₂×C₂₃	semidirect
918. #3296	C₂×C₂₃	semidirect
919. #3294	C₂×C₂₃	semidirect
920. #3280	C₂×C₂₃	semidirect
921. D₄×D₈	C₂×C₂₃	semidirect
922. #3274	C₂×C₂₃	semidirect
923. #3273	C₂×C₂₃	semidirect
924. #3268	C₂×C₂₃	semidirect
925. #3264	C₂×C₂₃	semidirect
926. #3264	C₂×C₂₃	semidirect
927. #3264	C₂×C₂₃	semidirect
928. #3224	C₂×C₂₃	semidirect
929. #3220	C₂×C₂₃	semidirect
930. #3199	C₂×C₂₃	semidirect
931. #3198	C₂×C₂₃	semidirect
932. #3194	C₂×C₂₃	semidirect
933. #3191	C₂×C₂₃	semidirect
934. #3122	C₂×C₂₃	semidirect
935. #3118	C₂×C₂₃	semidirect
936. #3012	C₂×C₂₃	semidirect
937. #3008	C₂×C₂₃	semidirect
938. #3003	C₂×C₂₃	semidirect
939. C₂×#447	C₂×C₂₃	semidirect
940. #2976	C₂×C₂₃	semidirect
1011. C₂×H(5,𝔽₂)	C₂²×C₂₃	semidirect
1012. C₂³×D₄	C₂²×C₂₃	semidirect
1013. C₂×AGL(1,ℤ/8)	C₂²×C₂₃	semidirect
1014. C₂×AGL(1,ℤ/8)	C₂²×C₂₃	semidirect
1015. C₂×AGL(1,ℤ/8)	C₂²×C₂₃	semidirect
1016. C₂×AGL(1,ℤ/8)	C₂²×C₂₃	semidirect
1017. C₂×#135	C₂²×C₂₃	semidirect
1018. C₂²×D₈	C₂²×C₂₃	semidirect
1019. C₂²×D₈	C₂²×C₂₃	semidirect
1020. C₂²×D₈	C₂²×C₂₃	semidirect
1023. #555	C₂²×C₂₃	semidirect
1024. #553	C₂²×C₂₃	semidirect
1025. #552	C₂²×C₂₃	semidirect
1027. #550	C₂²×C₂₃	semidirect
1028. #547	C₂²×C₂₃	semidirect
1033. #546	C₂²×C₂₃	semidirect
1034. #546	C₂²×C₂₃	semidirect
1035. #546	C₂²×C₂₃	semidirect
1036. #546	C₂²×C₂₃	semidirect
1037. #546	C₂²×C₂₃	semidirect
1041. D₄²	C₂²×C₂₃	semidirect
1042. D₄²	C₂²×C₂₃	semidirect
1043. D₄²	C₂²×C₂₃	semidirect
1044. D₄²	C₂²×C₂₃	semidirect
1045. #542	C₂²×C₂₃	semidirect
1047. #540	C₂²×C₂₃	semidirect
1049. #537	C₂²×C₂₃	semidirect
1051. #535	C₂²×C₂₃	semidirect
1052. #535	C₂²×C₂₃	semidirect
1053. #535	C₂²×C₂₃	semidirect
1058. #525	C₂²×C₂₃	semidirect
1059. #525	C₂²×C₂₃	semidirect
1060. C₂×#121	C₂²×C₂₃	semidirect
1063. #518	C₂²×C₂₃	semidirect
1064. #496	C₂²×C₂₃	semidirect
1065. #496	C₂²×C₂₃	semidirect
1066. #495	C₂²×C₂₃	semidirect
1067. #493	C₂²×C₂₃	semidirect
1068. #490	C₂²×C₂₃	semidirect
1069. #489	C₂²×C₂₃	semidirect
1070. #488	C₂²×C₂₃	semidirect
1071. #486	C₂²×C₂₃	semidirect
1072. #485	C₂²×C₂₃	semidirect
1073. #485	C₂²×C₂₃	semidirect
1074. #483	C₂²×C₂₃	semidirect
1075. #482	C₂²×C₂₃	semidirect
1076. #482	C₂²×C₂₃	semidirect
1077. #482	C₂²×C₂₃	semidirect
1078. #482	C₂²×C₂₃	semidirect
1079. #482	C₂²×C₂₃	semidirect
1080. #482	C₂²×C₂₃	semidirect
1081. #481	C₂²×C₂₃	semidirect
1082. #480	C₂²×C₂₃	semidirect
1083. #480	C₂²×C₂₃	semidirect
1084. #478	C₂²×C₂₃	semidirect
1085. #478	C₂²×C₂₃	semidirect
1086. #476	C₂²×C₂₃	semidirect
1087. #474	C₂²×C₂₃	semidirect
1088. #469	C₂²×C₂₃	semidirect
1089. #469	C₂²×C₂₃	semidirect
1090. #469	C₂²×C₂₃	semidirect
1091. #469	C₂²×C₂₃	semidirect
1092. #469	C₂²×C₂₃	semidirect
1093. #468	C₂²×C₂₃	semidirect
1094. #468	C₂²×C₂₃	semidirect
1095. #468	C₂²×C₂₃	semidirect
1096. #467	C₂²×C₂₃	semidirect
1097. #466	C₂²×C₂₃	semidirect
1098. #466	C₂²×C₂₃	semidirect
1099. #466	C₂²×C₂₃	semidirect
1100. #466	C₂²×C₂₃	semidirect
1101. #465	C₂²×C₂₃	semidirect
1102. #465	C₂²×C₂₃	semidirect
1103. #465	C₂²×C₂₃	semidirect
1104. #464	C₂²×C₂₃	semidirect
1105. #463	C₂²×C₂₃	semidirect
1106. #463	C₂²×C₂₃	semidirect
1107. #463	C₂²×C₂₃	semidirect
1108. #463	C₂²×C₂₃	semidirect
1109. #463	C₂²×C₂₃	semidirect
1110. #460	C₂²×C₂₃	semidirect
1111. #459	C₂²×C₂₃	semidirect
1112. #459	C₂²×C₂₃	semidirect
1113. #459	C₂²×C₂₃	semidirect
1114. #459	C₂²×C₂₃	semidirect
1115. #459	C₂²×C₂₃	semidirect
1116. #452	C₂²×C₂₃	semidirect
1117. #452	C₂²×C₂₃	semidirect
1118. #452	C₂²×C₂₃	semidirect
1119. #450	C₂²×C₂₃	semidirect
1120. #450	C₂²×C₂₃	semidirect
1121. #450	C₂²×C₂₃	semidirect
1122. #450	C₂²×C₂₃	semidirect
1123. #450	C₂²×C₂₃	semidirect
1124. #450	C₂²×C₂₃	semidirect
1125. #449	C₂²×C₂₃	semidirect
1126. #449	C₂²×C₂₃	semidirect
1127. #449	C₂²×C₂₃	semidirect
1128. #449	C₂²×C₂₃	semidirect
1129. #449	C₂²×C₂₃	semidirect
1130. #449	C₂²×C₂₃	semidirect
1131. #449	C₂²×C₂₃	semidirect
1132. #449	C₂²×C₂₃	semidirect
1133. #449	C₂²×C₂₃	semidirect
1135. #447	C₂²×C₂₃	semidirect
1136. #447	C₂²×C₂₃	semidirect
1137. #447	C₂²×C₂₃	semidirect
1138. #447	C₂²×C₂₃	semidirect
1139. #447	C₂²×C₂₃	semidirect
1140. #447	C₂²×C₂₃	semidirect
1141. #447	C₂²×C₂₃	semidirect
1142. #447	C₂²×C₂₃	semidirect
1143. #447	C₂²×C₂₃	semidirect
1144. #447	C₂²×C₂₃	semidirect
1145. #447	C₂²×C₂₃	semidirect
1146. #447	C₂²×C₂₃	semidirect
1147. #447	C₂²×C₂₃	semidirect
1148. #447	C₂²×C₂₃	semidirect
1149. #447	C₂²×C₂₃	semidirect
1150. #447	C₂²×C₂₃	semidirect
1151. #447	C₂²×C₂₃	semidirect
1152. #442	C₂²×C₂₃	semidirect
1153. #442	C₂²×C₂₃	semidirect
1154. #442	C₂²×C₂₃	semidirect
1155. #440	C₂²×C₂₃	semidirect
1156. C₄×SD₁₆	C₂²×C₂₃	semidirect
1157. C₄×D₈	C₂²×C₂₃	semidirect
1158. C₄×D₈	C₂²×C₂₃	semidirect
1159. C₄×D₈	C₂²×C₂₃	semidirect
1160. #436	C₂²×C₂₃	semidirect
1161. #436	C₂²×C₂₃	semidirect
1162. #435	C₂²×C₂₃	semidirect
1163. #435	C₂²×C₂₃	semidirect
1164. #435	C₂²×C₂₃	semidirect
1165. #435	C₂²×C₂₃	semidirect
1166. C₈×D₄	C₂²×C₂₃	semidirect
1167. C₈×D₄	C₂²×C₂₃	semidirect
1168. #433	C₂²×C₂₃	semidirect
1169. #433	C₂²×C₂₃	semidirect
1170. #418	C₂²×C₂₃	semidirect
1171. #418	C₂²×C₂₃	semidirect
1172. #418	C₂²×C₂₃	semidirect
1173. #417	C₂²×C₂₃	semidirect
1174. #416	C₂²×C₂₃	semidirect
1175. C₂×#102	C₂²×C₂₃	semidirect
1176. C₂×#102	C₂²×C₂₃	semidirect
1177. C₂×#102	C₂²×C₂₃	semidirect
1178. #408	C₂²×C₂₃	semidirect
1179. #408	C₂²×C₂₃	semidirect
1180. #407	C₂²×C₂₃	semidirect
1181. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1208. C₂×#41	C₂³×C₂₃	semidirect
1232. C₂²×D₄	C₂³×C₂₃	semidirect
1239. C₂×Q₁₆	C₂³×C₂₃	semidirect
1244. C₂×SD₁₆	C₂³×C₂₃	semidirect
1245. C₂×SD₁₆	C₂³×C₂₃	semidirect
1246. C₂×SD₁₆	C₂³×C₂₃	semidirect
1247. C₂×SD₁₆	C₂³×C₂₃	semidirect
1263. C₂×D₈	C₂³×C₂₃	semidirect
1264. C₂×D₈	C₂³×C₂₃	semidirect
1265. C₂×D₈	C₂³×C₂₃	semidirect
1268. C₂×M₁₆	C₂³×C₂₃	semidirect
1269. C₂×M₁₆	C₂³×C₂₃	semidirect
1272. C₂²×C₈	C₂³×C₂₃	semidirect
1273. C₂²×C₈	C₂³×C₂₃	semidirect
1274. C₄⋊Q₈	C₂³×C₂₃	semidirect
1280. #127	C₂³×C₂₃	semidirect
1285. #125	C₂³×C₂₃	semidirect
1293. #124	C₂³×C₂₃	semidirect
1320. C₂²⋊Q₈	C₂³×C₂₃	semidirect
1359. #121	C₂³×C₂₃	semidirect
1360. #121	C₂³×C₂₃	semidirect
1361. #121	C₂³×C₂₃	semidirect
1388. C₄×Q₈	C₂³×C₂₃	semidirect
1405. C₄×D₄	C₂³×C₂₃	semidirect
1406. C₄×D₄	C₂³×C₂₃	semidirect
1407. C₄×D₄	C₂³×C₂₃	semidirect
1413. #117	C₂³×C₂₃	semidirect
1415. C₂×C₄⋊C₄	C₂³×C₂₃	semidirect
1425. #107	C₂³×C₂₃	semidirect
1426. #107	C₂³×C₂₃	semidirect
1427. #107	C₂³×C₂₃	semidirect
1428. #107	C₂³×C₂₃	semidirect
1429. #106	C₂³×C₂₃	semidirect
1430. #106	C₂³×C₂₃	semidirect
1431. #106	C₂³×C₂₃	semidirect
1432. #106	C₂³×C₂₃	semidirect
1433. C₄⋊C₈	C₂³×C₂₃	semidirect
1434. C₄⋊C₈	C₂³×C₂₃	semidirect
1435. C₄⋊C₈	C₂³×C₂₃	semidirect
1436. C₄⋊C₈	C₂³×C₂₃	semidirect
1437. #103	C₂³×C₂₃	semidirect
1438. #103	C₂³×C₂₃	semidirect
1439. #103	C₂³×C₂₃	semidirect
1440. #103	C₂³×C₂₃	semidirect
1441. #103	C₂³×C₂₃	semidirect
1442. #103	C₂³×C₂₃	semidirect
1459. #102	C₂³×C₂₃	semidirect
1460. #102	C₂³×C₂₃	semidirect
1461. #102	C₂³×C₂₃	semidirect
1462. #102	C₂³×C₂₃	semidirect
1463. #102	C₂³×C₂₃	semidirect
1464. #102	C₂³×C₂₃	semidirect
1465. #102	C₂³×C₂₃	semidirect
1466. #102	C₂³×C₂₃	semidirect
1467. #102	C₂³×C₂₃	semidirect
1468. #102	C₂³×C₂₃	semidirect
1477. C₂²⋊C₈	C₂³×C₂₃	semidirect
1478. C₂²⋊C₈	C₂³×C₂₃	semidirect
1479. C₂²⋊C₈	C₂³×C₂₃	semidirect
1480. C₂²⋊C₈	C₂³×C₂₃	semidirect
1481. #97	C₂³×C₂₃	semidirect
1482. #97	C₂³×C₂₃	semidirect
1483. C₄×C₈	C₂³×C₂₃	semidirect
1484. C₄×C₈	C₂³×C₂₃	semidirect
1485. C₂₃	#61609	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×#3542	2
C₂₃×#3484	2
C₂₃×#3325	2
C₂₃×#3322	2
C₂₃×#3319	2
C₂₃×#3318	2
C₂₃×#3310	2
C₂₃×#3306	2
C₂₃×#3296	2
C₂₃×#3294	2
C₂₃×#3280	2
D₄×D₈×C₂₃	2
C₂₃×#3274	2
C₂₃×#3273	2
C₂₃×#3268	2
C₂₃×#3264	2
C₂₃×#3224	2
C₂₃×#3220	2
C₂₃×#3199	2
C₂₃×#3198	2
C₂₃×#3194	2
C₂₃×#3191	2
C₂₃×#3122	2
C₂₃×#3118	2
C₂₃×#3012	2
C₂₃×#3008	2
C₂₃×#3003	2
C₂×C₂₃×#447	2
C₂₃×#2976	2
#61609	23

Subgroups — C23×#61609 #19209235

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61609 #19209235