Subgroups — C₂₃×#60299 #19207925

Order 5888.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×#3475	C₂	1	1	yes	maximal, characteristic
2	C₂₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#2987	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#2973	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂₃×#2921	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂₃×#556	C₄	1	1	yes	characteristic
33	C₂₃×#555	C₄	1	1	yes	characteristic
34	C₂₃×#554	C₄	1	1	yes	characteristic
35	C₂₃×#553	C₄	1	1	yes	characteristic
36	C₂₃×#553	C₄	1	1	yes	characteristic
37	C₂₃×#552	C₄	1	1	yes	characteristic
38	C₂₃×#552	C₄	1	1	yes	characteristic
39	C₂₃×#552	C₄	1	1	yes	characteristic
40	C₂₃×#552	C₄	1	1	yes	characteristic
41	C₂₃×#551	C₄	1	1	yes	characteristic
42	C₂₃×#551	C₄	1	1	yes	characteristic
43	C₂₃×#551	C₄	1	1	yes	characteristic
44	C₂₃×#551	C₄	1	1	yes	characteristic
45	C₂₃×#547	C₄	1	1	yes	characteristic
46	C₂₃×#546	C₄	1	1	yes	characteristic
47	C₂₃×#546	C₄	1	1	yes	characteristic
48	C₂₃×#533	C₂²	1	1	yes	characteristic
49	C₂₃×#529	C₂²	1	1	yes	characteristic
50	C₂₃×#529	C₂²	1	1	yes	characteristic
51	C₂₃×#529	C₂²	1	1	yes	characteristic
52	C₂₃×#529	C₂²	1	1	yes	characteristic
53	C₂₃×#529	C₂²	1	1	yes	characteristic
54	C₂₃×#529	C₂²	1	1	yes	characteristic
55	C₂₃×#525	C₂²	1	1	yes	characteristic
56	C₂₃×#525	C₂²	1	1	yes	characteristic
57	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
58	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
59	C₄×#41×C₂₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic
61	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
62	C₂×C₂₃×#117	C₂²	1	1	yes	characteristic
63	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
64	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
65	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
66	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
67	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
68	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
69	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
70	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
71	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
72	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
73	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
74	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
75	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
76	C₂₃×#446	C₂²	1	1	yes	characteristic, complemented
77	C₈×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
78	C₈×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
79	C₂₃×#436	C₂²	1	1	yes	characteristic
80	C₂₃×#436	C₂²	1	1	yes	characteristic
81	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
82	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
83	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
84	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
86	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
87	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
88	C₂₃×#436	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#435	C₂²	1	1	yes	characteristic
90	C₂₃×#435	C₂²	1	1	yes	characteristic
91	C₂₃×#435	C₂²	1	1	yes	characteristic
92	C₂₃×#435	C₂²	1	1	yes	characteristic
93	C₂₃×#435	C₂²	1	1	yes	characteristic
94	C₂₃×#435	C₂²	1	1	yes	characteristic
95	C₂₃×#435	C₂²	1	1	yes	characteristic
96	C₂₃×#435	C₂²	1	1	yes	characteristic
97	C₂₃×#435	C₂²	1	1	yes	characteristic
98	C₂₃×#435	C₂²	1	1	yes	characteristic
99	C₂₃×#435	C₂²	1	1	yes	characteristic
100	C₂₃×#435	C₂²	1	1	yes	characteristic
101	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
106	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
107	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
108	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
110	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
111	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
112	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#435	C₂²	1	1	yes	characteristic, complemented
117	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
118	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
119	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
120	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
121	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
123	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
126	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
127	C₂₃×#433	C₂²	1	1	yes	characteristic
128	C₂₃×#433	C₂²	1	1	yes	characteristic
129	C₂₃×#433	C₂²	1	1	yes	characteristic
130	C₂₃×#433	C₂²	1	1	yes	characteristic
131	C₂₃×#433	C₂²	1	1	yes	characteristic
132	C₂₃×#433	C₂²	1	1	yes	characteristic
133	C₂₃×#433	C₂²	1	1	yes	characteristic
134	C₂₃×#433	C₂²	1	1	yes	characteristic
135	C₂₃×#433	C₂²	1	1	yes	characteristic
136	C₂₃×#433	C₂²	1	1	yes	characteristic
137	C₂₃×#433	C₂²	1	1	yes	characteristic
138	C₂₃×#433	C₂²	1	1	yes	characteristic
139	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
140	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
147	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
148	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#433	C₂²	1	1	yes	characteristic, complemented
151	C₂₃×#432	C₂²	1	1	yes	characteristic
152	C₂₃×#432	C₂²	1	1	yes	characteristic
153	C₂₃×#432	C₂²	1	1	yes	characteristic
154	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#432	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#431	C₂²	1	1	yes	characteristic
162	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
165	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#431	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
172	C₂₃×#424	C₂²	1	1	yes	characteristic, complemented
173	C₂₃×#423	C₂²	1	1	yes	characteristic, complemented
174	C₂₃×#423	C₂²	1	1	yes	characteristic, complemented
175	C₂₃×#423	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	C₂₃×#408	C₂²	1	1	yes	characteristic
180	C₂₃×#408	C₂²	1	1	yes	characteristic
181	C₂₃×#408	C₂²	1	1	yes	characteristic
182	C₂₃×#408	C₂²	1	1	yes	characteristic
183	C₂₃×#407	C₂²	1	1	yes	characteristic
184	C₂₃×#407	C₂²	1	1	yes	characteristic
185	C₂₃×#407	C₂²	1	1	yes	characteristic
186	C₂₃×#407	C₂²	1	1	yes	characteristic
187	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
188	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
189	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
190	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
196	C₂₃×#405	C₂²	1	1	yes	characteristic, complemented
197	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
198	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
199	C₄×M₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂₃×#97	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₂₃	C₂×C₄	1	1	yes	characteristic
204	C₂×#41×C₂₃	C₂×C₄	1	1	yes	characteristic
205	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
207	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
209	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
210	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
211	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
212	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
213	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
214	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
233	C₂₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
234	C₂₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
236	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
237	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
238	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
239	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
240	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
241	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
242	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
243	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
244	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
245	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
246	C₂₃×#126	C₂×C₄	1	1	yes	characteristic
247	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
248	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
249	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
250	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
251	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
252	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
253	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
254	C₂₃×#125	C₂×C₄	1	1	yes	characteristic
255	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
256	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
257	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
258	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
259	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
260	C₂₃×#124	C₂×C₄	1	1	yes	characteristic
261	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
262	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
263	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
264	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
265	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
266	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
267	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
268	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
269	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
270	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
271	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
272	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
273	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
274	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
275	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
276	C₂₃×#123	C₂×C₄	1	1	yes	characteristic
277	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
278	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
279	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
280	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
281	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
282	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
283	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
284	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
285	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
286	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
287	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
288	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
289	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
290	C₂₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
291	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
292	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
293	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
294	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
295	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
296	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
297	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
298	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
299	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
300	C₂₃×#121	C₂×C₄	1	1	yes	characteristic
301	C₂₃×#120	C₂×C₄	1	1	yes	characteristic
302	C₂₃×#120	C₂×C₄	1	1	yes	characteristic
303	C₂₃×#120	C₂×C₄	1	1	yes	characteristic
304	C₂₃×#120	C₂×C₄	1	1	yes	characteristic
305	C₄×Q₈×C₂₃	C₂×C₄	1	1	yes	characteristic
306	C₄×Q₈×C₂₃	C₂×C₄	1	1	yes	characteristic
307	C₄×Q₈×C₂₃	C₂×C₄	1	1	yes	characteristic
308	C₄×Q₈×C₂₃	C₂×C₄	1	1	yes	characteristic
309	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
310	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
311	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
312	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
314	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
315	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
316	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
317	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
318	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
319	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
320	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
321	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
322	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
323	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
324	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
325	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
326	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
327	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
328	C₄×D₄×C₂₃	C₂×C₄	1	1	yes	characteristic
329	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
331	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
332	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
333	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
334	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
335	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
336	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
337	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
338	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
339	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₂₃	C₂³	1	1	yes	characteristic
341	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
342	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
343	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
344	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
345	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
346	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
347	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
348	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
349	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
350	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
351	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
352	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
353	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
354	C₂₃×#117	C₂×C₄	1	1	yes	characteristic
355	C₂₃×#117	C₂³	1	1	yes	characteristic
356	C₂₃×#117	C₂³	1	1	yes	characteristic
357	C₂₃×#117	C₂³	1	1	yes	characteristic
358	C₂₃×#117	C₂³	1	1	yes	characteristic
359	C₂₃×#117	C₂³	1	1	yes	characteristic
360	C₂₃×#117	C₂³	1	1	yes	characteristic
361	C₂₃×#117	C₂³	1	1	yes	characteristic
362	C₂₃×#117	C₂³	1	1	yes	characteristic
363	C₂₃×#117	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
367	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
368	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₂₃	C₂×C₄	1	1	yes	characteristic
375	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
376	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
377	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
378	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
379	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
380	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
381	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
382	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
385	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
389	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
390	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
391	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
392	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
393	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
394	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
395	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
396	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
418	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
419	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
430	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₂₃×#97	C₂³	1	1	yes	characteristic
447	C₂₃×#97	C₂³	1	1	yes	characteristic
448	C₂₃×#97	C₂³	1	1	yes	characteristic
449	C₂₃×#97	C₂³	1	1	yes	characteristic
450	C₂₃×#97	C₂³	1	1	yes	characteristic
451	C₂₃×#97	C₂³	1	1	yes	characteristic
452	C₂₃×#97	C₂³	1	1	yes	characteristic
453	C₂₃×#97	C₂³	1	1	yes	characteristic
454	C₂₃×#97	C₂³	1	1	yes	characteristic
455	C₂₃×#97	C₂³	1	1	yes	characteristic
456	C₂₃×#97	C₂³	1	1	yes	characteristic
457	C₂₃×#97	C₂³	1	1	yes	characteristic
458	C₂₃×#97	C₂³	1	1	yes	characteristic
459	C₂₃×#97	C₂³	1	1	yes	characteristic
460	C₂₃×#97	C₂³	1	1	yes	characteristic
461	C₂₃×#97	C₂³	1	1	yes	characteristic
462	C₂₃×#97	C₂³	1	1	yes	characteristic
463	C₂₃×#97	C₂³	1	1	yes	characteristic
464	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
465	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
466	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
467	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
468	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
469	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
470	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
471	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
478	C₂⁴×C₂₃	C₂²×C₄	1	1	yes	characteristic
479	C₂⁴×C₂₃	C₂²×C₄	1	1	yes	characteristic
480	#41×C₂₃	—	4	1	no	—
481	#41×C₂₃	—	4	1	no	—
482	#41×C₂₃	—	4	2	no	—
483	#41×C₂₃	—	4	2	no	—
484	C₂×Q₈×C₂₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×Q₈×C₂₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈×C₂₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×Q₈×C₂₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×Q₈×C₂₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₂₃	—	4	2	no	—
490	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
495	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
496	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
497	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₄×C₂₃	—	4	1	no	—
506	C₂²×C₄×C₂₃	—	4	1	no	—
507	C₂²×C₄×C₂₃	—	4	1	no	—
508	C₂²×C₄×C₂₃	—	4	1	no	—
509	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
517	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
518	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
519	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
520	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
524	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
527	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
536	M₁₆×C₂₃	—	4	1	no	—
537	M₁₆×C₂₃	—	4	1	no	—
538	M₁₆×C₂₃	—	4	1	no	—
539	M₁₆×C₂₃	—	4	1	no	—
540	M₁₆×C₂₃	—	4	1	no	—
541	M₁₆×C₂₃	—	4	1	no	—
542	M₁₆×C₂₃	—	4	1	no	—
543	M₁₆×C₂₃	—	4	1	no	—
544	M₁₆×C₂₃	—	4	1	no	—
545	M₁₆×C₂₃	—	4	1	no	—
546	M₁₆×C₂₃	—	4	1	no	—
547	M₁₆×C₂₃	—	4	1	no	—
548	C₂×C₈×C₂₃	—	4	1	no	—
549	C₂×C₈×C₂₃	—	4	1	no	—
550	C₂×C₈×C₂₃	—	4	1	no	—
551	C₂×C₈×C₂₃	—	4	1	no	—
552	C₂×C₈×C₂₃	—	4	1	no	—
553	C₂×C₈×C₂₃	—	4	1	no	—
554	C₂×C₈×C₂₃	—	4	1	no	—
555	C₂×C₈×C₂₃	—	4	1	no	—
556	C₂×C₈×C₂₃	—	4	1	no	—
557	C₂×C₈×C₂₃	—	4	1	no	—
558	C₂×C₈×C₂₃	—	4	1	no	—
559	C₂×C₈×C₂₃	—	4	1	no	—
560	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
576	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
577	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
578	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
579	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
580	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
581	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
582	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
583	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
584	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
598	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
599	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
600	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
601	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
602	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
603	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
604	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
605	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
606	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
607	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
637	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
638	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
660	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
661	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
662	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
663	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
664	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
665	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
666	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
667	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
668	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
669	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
670	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
671	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
672	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
673	C₄²×C₂₃	C₂²×C₄	1	1	yes	characteristic
674	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
675	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
676	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
677	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
678	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
679	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
680	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
682	#60299	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
683	C₂³×C₂₃	—	2	2	no	—
684	C₂³×C₂₃	—	4	1	no	—
685	C₂³×C₂₃	—	4	1	no	—
686	C₂³×C₂₃	—	4	1	no	—
687	C₂³×C₂₃	—	4	1	no	—
688	C₂³×C₂₃	—	4	1	no	—
689	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
690	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
691	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
692	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
693	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
694	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
695	C₂³×C₂₃	C₂³×C₄	1	1	yes	characteristic
696	Q₈×C₂₃	—	4	1	no	—
697	Q₈×C₂₃	—	4	1	no	—
698	Q₈×C₂₃	—	4	1	no	—
699	Q₈×C₂₃	—	4	1	no	—
700	Q₈×C₂₃	—	4	1	no	—
701	D₄×C₂₃	—	2	2	no	—
702	D₄×C₂₃	—	2	2	no	—
703	D₄×C₂₃	—	2	2	no	—
704	D₄×C₂₃	—	2	2	no	—
705	D₄×C₂₃	—	4	1	no	—
706	D₄×C₂₃	—	4	1	no	—
707	D₄×C₂₃	—	4	1	no	—
708	D₄×C₂₃	—	4	1	no	—
709	D₄×C₂₃	—	4	1	no	—
710	D₄×C₂₃	—	4	1	no	—
711	D₄×C₂₃	—	4	1	no	—
712	D₄×C₂₃	—	4	1	no	—
713	D₄×C₂₃	—	4	1	no	—
714	D₄×C₂₃	—	4	1	no	—
715	D₄×C₂₃	—	4	1	no	—
716	C₂×C₄×C₂₃	—	2	2	no	—
717	C₂×C₄×C₂₃	—	2	2	no	—
718	C₂×C₄×C₂₃	—	2	1	no	—
719	C₂×C₄×C₂₃	—	2	1	no	—
720	C₂×C₄×C₂₃	—	2	1	no	—
721	C₂×C₄×C₂₃	—	2	1	no	—
722	C₂×C₄×C₂₃	—	2	1	no	—
723	C₂×C₄×C₂₃	—	2	1	no	—
724	C₂×C₄×C₂₃	—	2	1	no	—
725	C₂×C₄×C₂₃	—	2	1	no	—
726	C₂×C₄×C₂₃	—	2	1	no	—
727	C₂×C₄×C₂₃	—	2	1	no	—
728	C₂×C₄×C₂₃	—	2	1	no	—
729	C₂×C₄×C₂₃	—	2	1	no	—
730	C₂×C₄×C₂₃	—	2	1	no	—
731	C₂×C₄×C₂₃	—	2	1	no	—
732	C₂×C₄×C₂₃	—	4	1	no	—
733	C₂×C₄×C₂₃	—	4	1	no	—
734	C₂×C₄×C₂₃	—	4	1	no	—
735	C₂×C₄×C₂₃	—	4	1	no	—
736	C₂×C₄×C₂₃	—	4	1	no	—
737	C₂×C₄×C₂₃	—	4	1	no	—
738	C₂×C₄×C₂₃	—	4	1	no	—
739	C₂×C₄×C₂₃	—	4	1	no	—
740	C₂×C₄×C₂₃	—	4	1	no	—
741	C₂×C₄×C₂₃	—	4	1	no	—
742	C₂×C₄×C₂₃	—	4	1	no	—
743	C₂×C₄×C₂₃	—	4	1	no	—
744	C₂×C₄×C₂₃	—	4	1	no	—
745	C₂×C₄×C₂₃	—	4	1	no	—
746	C₂×C₄×C₂₃	—	4	1	no	—
747	C₂×C₄×C₂₃	—	4	1	no	—
748	C₂×C₄×C₂₃	—	4	1	no	—
749	C₂×C₄×C₂₃	—	4	1	no	—
750	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
758	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
759	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
760	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
761	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
762	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
763	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
764	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
765	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
766	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
767	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
768	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
769	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
770	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
771	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
772	C₂×C₄×C₂₃	C₂³×C₄	1	1	yes	characteristic
773	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
774	C₈×C₂₃	—	2	1	no	—
775	C₈×C₂₃	—	2	1	no	—
776	C₈×C₂₃	—	2	1	no	—
777	C₈×C₂₃	—	2	1	no	—
778	C₈×C₂₃	—	2	1	no	—
779	C₈×C₂₃	—	2	1	no	—
780	C₈×C₂₃	—	2	1	no	—
781	C₈×C₂₃	—	2	1	no	—
782	C₈×C₂₃	—	2	1	no	—
783	C₈×C₂₃	—	2	1	no	—
784	C₈×C₂₃	—	2	1	no	—
785	C₈×C₂₃	—	2	1	no	—
786	C₈×C₂₃	—	2	1	no	—
787	C₈×C₂₃	—	2	1	no	—
788	C₈×C₂₃	—	2	1	no	—
789	C₈×C₂₃	—	2	1	no	—
790	#3475	C₂×C₂₃	1	1	yes	characteristic
791	#2995	C₂×C₂₃	1	1	yes	characteristic, complemented
792	#2995	C₂×C₂₃	1	1	yes	characteristic, complemented
793	#2994	C₂×C₂₃	1	1	yes	characteristic, complemented
794	#2993	C₂×C₂₃	1	1	yes	characteristic, complemented
795	#2992	C₂×C₂₃	1	1	yes	characteristic, complemented
796	#2992	C₂×C₂₃	1	1	yes	characteristic, complemented
797	#2990	C₂×C₂₃	1	1	yes	characteristic, complemented
798	#2989	C₂×C₂₃	1	1	yes	characteristic, complemented
799	#2987	C₂×C₂₃	1	1	yes	characteristic, complemented
800	#2985	C₂×C₂₃	1	1	yes	characteristic, complemented
801	#2978	C₂×C₂₃	1	1	yes	characteristic, complemented
802	#2977	C₂×C₂₃	1	1	yes	characteristic, complemented
803	#2976	C₂×C₂₃	1	1	yes	characteristic, complemented
804	#2976	C₂×C₂₃	1	1	yes	characteristic, complemented
805	#2974	C₂×C₂₃	1	1	yes	characteristic, complemented
806	#2973	C₂×C₂₃	1	1	yes	characteristic, complemented
807	#2970	C₂×C₂₃	1	1	yes	characteristic, complemented
808	#2969	C₂×C₂₃	1	1	yes	characteristic, complemented
809	#2968	C₂×C₂₃	1	1	yes	characteristic, complemented
810	#2968	C₂×C₂₃	1	1	yes	characteristic, complemented
811	#2967	C₂×C₂₃	1	1	yes	characteristic, complemented
812	#2967	C₂×C₂₃	1	1	yes	characteristic, complemented
813	#2966	C₂×C₂₃	1	1	yes	characteristic, complemented
814	#2965	C₂×C₂₃	1	1	yes	characteristic, complemented
815	#2925	C₂×C₂₃	1	1	yes	characteristic, complemented
816	#2924	C₂×C₂₃	1	1	yes	characteristic, complemented
817	#2924	C₂×C₂₃	1	1	yes	characteristic, complemented
818	#2923	C₂×C₂₃	1	1	yes	characteristic, complemented
819	#2921	C₂×C₂₃	1	1	yes	characteristic, complemented
820	C₂×#433	C₂×C₂₃	1	1	yes	characteristic, complemented
821	C₂²×C₂₃	—	2	1	no	—
822	C₂²×C₂₃	—	2	1	no	—
823	C₂²×C₂₃	—	2	1	no	—
824	C₂²×C₂₃	—	2	1	no	—
825	C₂²×C₂₃	—	2	1	no	—
826	C₂²×C₂₃	—	2	1	no	—
827	C₂²×C₂₃	—	2	1	no	—
828	C₂²×C₂₃	—	2	1	no	—
829	C₂²×C₂₃	—	2	1	no	—
830	C₂²×C₂₃	—	2	1	no	—
831	C₂²×C₂₃	—	2	1	no	—
832	C₂²×C₂₃	—	2	1	no	—
833	C₂²×C₂₃	—	2	1	no	—
834	C₂²×C₂₃	—	2	1	no	—
835	C₂²×C₂₃	—	2	1	no	—
836	C₂²×C₂₃	—	2	1	no	—
837	C₂²×C₂₃	—	2	1	no	—
838	C₂²×C₂₃	—	2	1	no	—
839	C₂²×C₂₃	—	2	1	no	—
840	C₂²×C₂₃	—	2	1	no	—
841	C₂²×C₂₃	—	8	2	no	—
842	C₂²×C₂₃	—	8	2	no	—
843	C₂²×C₂₃	#568	1	2	yes	—
844	C₂²×C₂₃	C₂⁴×C₄	1	1	yes	characteristic
845	C₄×C₂₃	—	2	1	no	—
846	C₄×C₂₃	—	2	1	no	—
847	C₄×C₂₃	—	2	1	no	—
848	C₄×C₂₃	—	2	1	no	—
849	C₄×C₂₃	—	2	1	no	—
850	C₄×C₂₃	—	2	1	no	—
851	C₄×C₂₃	—	2	1	no	—
852	C₄×C₂₃	—	2	1	no	—
853	C₄×C₂₃	—	2	1	no	—
854	C₄×C₂₃	—	2	1	no	—
855	C₄×C₂₃	—	2	1	no	—
856	C₄×C₂₃	—	2	1	no	—
857	C₄×C₂₃	—	2	1	no	—
858	C₄×C₂₃	—	2	1	no	—
859	C₄×C₂₃	—	2	1	no	—
860	C₄×C₂₃	—	2	1	no	—
861	C₄×C₂₃	—	2	1	no	—
862	C₄×C₂₃	—	2	1	no	—
863	C₄×C₂₃	—	2	1	no	—
864	C₄×C₂₃	—	2	1	no	—
865	C₄×C₂₃	—	2	1	no	—
866	C₄×C₂₃	—	2	1	no	—
867	C₄×C₂₃	—	2	1	no	—
868	C₄×C₂₃	#585	1	1	yes	characteristic
869	C₄×C₂₃	#585	1	1	yes	characteristic
870	#556	C₄×C₂₃	1	1	yes	characteristic
871	#555	C₄×C₂₃	1	1	yes	characteristic
872	#554	C₄×C₂₃	1	1	yes	characteristic
873	#553	C₄×C₂₃	1	1	yes	characteristic
874	#553	C₄×C₂₃	1	1	yes	characteristic
875	#552	C₄×C₂₃	1	1	yes	characteristic
876	#552	C₄×C₂₃	1	1	yes	characteristic
877	#552	C₄×C₂₃	1	1	yes	characteristic
878	#552	C₄×C₂₃	1	1	yes	characteristic
879	#551	C₄×C₂₃	1	1	yes	characteristic
880	#551	C₄×C₂₃	1	1	yes	characteristic
881	#551	C₄×C₂₃	1	1	yes	characteristic
882	#551	C₄×C₂₃	1	1	yes	characteristic
883	#547	C₄×C₂₃	1	1	yes	characteristic
884	#546	C₄×C₂₃	1	1	yes	characteristic
885	#546	C₄×C₂₃	1	1	yes	characteristic
886	#533	C₂²×C₂₃	1	1	yes	characteristic
887	#529	C₂²×C₂₃	1	1	yes	characteristic
888	#529	C₂²×C₂₃	1	1	yes	characteristic
889	#529	C₂²×C₂₃	1	1	yes	characteristic
890	#529	C₂²×C₂₃	1	1	yes	characteristic
891	#529	C₂²×C₂₃	1	1	yes	characteristic
892	#529	C₂²×C₂₃	1	1	yes	characteristic
893	#525	C₂²×C₂₃	1	1	yes	characteristic
894	#525	C₂²×C₂₃	1	1	yes	characteristic
895	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
896	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
897	C₄×#41	C₂²×C₂₃	1	1	yes	characteristic
898	C₂×C₄×D₄	C₂²×C₂₃	1	1	yes	characteristic
899	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
900	C₂×#117	C₂²×C₂₃	1	1	yes	characteristic
901	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
902	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
903	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
904	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
905	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
906	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
907	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
908	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
909	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
910	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
911	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
912	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
913	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
914	#446	C₂²×C₂₃	1	1	yes	characteristic, complemented
915	C₈×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
916	C₈×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
917	#436	C₂²×C₂₃	1	1	yes	characteristic
918	#436	C₂²×C₂₃	1	1	yes	characteristic
919	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
920	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
921	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
922	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
923	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
924	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
925	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
926	#436	C₂²×C₂₃	1	1	yes	characteristic, complemented
927	#435	C₂²×C₂₃	1	1	yes	characteristic
928	#435	C₂²×C₂₃	1	1	yes	characteristic
929	#435	C₂²×C₂₃	1	1	yes	characteristic
930	#435	C₂²×C₂₃	1	1	yes	characteristic
931	#435	C₂²×C₂₃	1	1	yes	characteristic
932	#435	C₂²×C₂₃	1	1	yes	characteristic
933	#435	C₂²×C₂₃	1	1	yes	characteristic
934	#435	C₂²×C₂₃	1	1	yes	characteristic
935	#435	C₂²×C₂₃	1	1	yes	characteristic
936	#435	C₂²×C₂₃	1	1	yes	characteristic
937	#435	C₂²×C₂₃	1	1	yes	characteristic
938	#435	C₂²×C₂₃	1	1	yes	characteristic
939	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
940	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
941	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
942	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
943	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
944	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
945	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
946	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
947	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
948	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
949	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
950	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
951	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
952	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
953	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
954	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
955	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
956	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
957	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
958	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
959	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
960	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
961	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
962	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
963	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
964	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
965	#433	C₂²×C₂₃	1	1	yes	characteristic
966	#433	C₂²×C₂₃	1	1	yes	characteristic
967	#433	C₂²×C₂₃	1	1	yes	characteristic
968	#433	C₂²×C₂₃	1	1	yes	characteristic
969	#433	C₂²×C₂₃	1	1	yes	characteristic
970	#433	C₂²×C₂₃	1	1	yes	characteristic
971	#433	C₂²×C₂₃	1	1	yes	characteristic
972	#433	C₂²×C₂₃	1	1	yes	characteristic
973	#433	C₂²×C₂₃	1	1	yes	characteristic
974	#433	C₂²×C₂₃	1	1	yes	characteristic
975	#433	C₂²×C₂₃	1	1	yes	characteristic
976	#433	C₂²×C₂₃	1	1	yes	characteristic
977	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
978	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
979	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
980	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
983	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
984	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
986	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#432	C₂²×C₂₃	1	1	yes	characteristic
990	#432	C₂²×C₂₃	1	1	yes	characteristic
991	#432	C₂²×C₂₃	1	1	yes	characteristic
992	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
994	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
995	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
996	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
997	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
998	#432	C₂²×C₂₃	1	1	yes	characteristic, complemented
999	#431	C₂²×C₂₃	1	1	yes	characteristic
1000	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1002	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1004	#431	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1006	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1007	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1010	#424	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#423	C₂²×C₂₃	1	1	yes	characteristic, complemented
1012	#423	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	#423	C₂²×C₂₃	1	1	yes	characteristic, complemented
1014	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1015	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1016	C₂×C₄⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1017	#408	C₂²×C₂₃	1	1	yes	characteristic
1018	#408	C₂²×C₂₃	1	1	yes	characteristic
1019	#408	C₂²×C₂₃	1	1	yes	characteristic
1020	#408	C₂²×C₂₃	1	1	yes	characteristic
1021	#407	C₂²×C₂₃	1	1	yes	characteristic
1022	#407	C₂²×C₂₃	1	1	yes	characteristic
1023	#407	C₂²×C₂₃	1	1	yes	characteristic
1024	#407	C₂²×C₂₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic
1029	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#405	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	C₄×M₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	C₂×#97	C₂²×C₂₃	1	1	yes	characteristic, complemented
1040	C₂×C₄×C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	C₂×C₂₃	—	2	2	no	—
1042	C₂×C₂₃	—	4	1	no	—
1043	C₂×C₂₃	—	4	1	no	—
1044	C₂×C₂₃	—	4	1	no	—
1045	C₂×C₂₃	—	4	1	no	—
1046	C₂×C₂₃	—	4	1	no	—
1047	C₂×C₂₃	—	4	1	no	—
1048	C₂×C₂₃	#3428	1	1	yes	characteristic
1049	C₂×C₂₃	C₂×#568	1	1	yes	characteristic
1050	C₂×C₂₃	#3573	1	1	yes	characteristic
1051	C₂×#41	C₂×C₄×C₂₃	1	1	yes	characteristic
1052	C₂×#41	C₂×C₄×C₂₃	1	1	yes	characteristic
1053	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1054	C₂²×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1055	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1057	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1058	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1059	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1060	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1062	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1063	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1064	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1065	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1066	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1067	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1069	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1074	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1075	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1076	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1079	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1080	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1083	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1084	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1085	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1086	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1087	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1088	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1089	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1090	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1091	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1092	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1093	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1094	#126	C₂×C₄×C₂₃	1	1	yes	characteristic
1095	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1096	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1097	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1098	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1099	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1100	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1101	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1102	#125	C₂×C₄×C₂₃	1	1	yes	characteristic
1103	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1104	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1105	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1106	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1107	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1108	#124	C₂×C₄×C₂₃	1	1	yes	characteristic
1109	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1110	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1111	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1112	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1113	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1114	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1115	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1116	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1117	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1118	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1119	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1120	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1121	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1122	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1123	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1124	#123	C₂×C₄×C₂₃	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1126	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1128	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1129	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1132	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1134	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1135	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1136	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1137	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1139	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1140	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1141	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1142	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1143	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1144	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1145	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1146	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1147	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1148	#121	C₂×C₄×C₂₃	1	1	yes	characteristic
1149	#120	C₂×C₄×C₂₃	1	1	yes	characteristic
1150	#120	C₂×C₄×C₂₃	1	1	yes	characteristic
1151	#120	C₂×C₄×C₂₃	1	1	yes	characteristic
1152	#120	C₂×C₄×C₂₃	1	1	yes	characteristic
1153	C₄×Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1154	C₄×Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1155	C₄×Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1156	C₄×Q₈	C₂×C₄×C₂₃	1	1	yes	characteristic
1157	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1158	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1159	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1160	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1161	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1162	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1163	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1164	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1165	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1166	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1167	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1168	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1169	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1170	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1171	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1172	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1173	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1174	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1175	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1176	C₄×D₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1189	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1190	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1191	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1192	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1193	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1194	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1195	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1196	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1197	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1198	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1199	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1200	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1201	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1202	#117	C₂×C₄×C₂₃	1	1	yes	characteristic
1203	#117	C₂³×C₂₃	1	1	yes	characteristic
1204	#117	C₂³×C₂₃	1	1	yes	characteristic
1205	#117	C₂³×C₂₃	1	1	yes	characteristic
1206	#117	C₂³×C₂₃	1	1	yes	characteristic
1207	#117	C₂³×C₂₃	1	1	yes	characteristic
1208	#117	C₂³×C₂₃	1	1	yes	characteristic
1209	#117	C₂³×C₂₃	1	1	yes	characteristic
1210	#117	C₂³×C₂₃	1	1	yes	characteristic
1211	#117	C₂³×C₂₃	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1217	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1221	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂×C₄×C₂₃	1	1	yes	characteristic
1223	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1224	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1225	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1226	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1227	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1228	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1229	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
1230	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1262	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1264	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1265	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1266	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1267	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1268	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1269	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
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
1273	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1276	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1279	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1280	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1281	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1294	#97	C₂³×C₂₃	1	1	yes	characteristic
1295	#97	C₂³×C₂₃	1	1	yes	characteristic
1296	#97	C₂³×C₂₃	1	1	yes	characteristic
1297	#97	C₂³×C₂₃	1	1	yes	characteristic
1298	#97	C₂³×C₂₃	1	1	yes	characteristic
1299	#97	C₂³×C₂₃	1	1	yes	characteristic
1300	#97	C₂³×C₂₃	1	1	yes	characteristic
1301	#97	C₂³×C₂₃	1	1	yes	characteristic
1302	#97	C₂³×C₂₃	1	1	yes	characteristic
1303	#97	C₂³×C₂₃	1	1	yes	characteristic
1304	#97	C₂³×C₂₃	1	1	yes	characteristic
1305	#97	C₂³×C₂₃	1	1	yes	characteristic
1306	#97	C₂³×C₂₃	1	1	yes	characteristic
1307	#97	C₂³×C₂₃	1	1	yes	characteristic
1308	#97	C₂³×C₂₃	1	1	yes	characteristic
1309	#97	C₂³×C₂₃	1	1	yes	characteristic
1310	#97	C₂³×C₂₃	1	1	yes	characteristic
1311	#97	C₂³×C₂₃	1	1	yes	characteristic
1312	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1313	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1314	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1315	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1316	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1322	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1323	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1326	C₂₃	#60299	1	1	yes	characteristic, direct product factor, Sylow
1327	C₂⁴	C₂²×C₄×C₂₃	1	1	yes	characteristic
1328	C₂⁴	C₂²×C₄×C₂₃	1	1	yes	characteristic
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	2	no	—
1332	#41	—	4	2	no	—
1333	C₂×Q₈	C₂²×C₄×C₂₃	1	1	yes	characteristic
1334	C₂×Q₈	C₂²×C₄×C₂₃	1	1	yes	characteristic
1335	C₂×Q₈	C₂²×C₄×C₂₃	1	1	yes	characteristic
1336	C₂×Q₈	C₂²×C₄×C₂₃	1	1	yes	characteristic
1337	C₂×Q₈	C₂²×C₄×C₂₃	1	1	yes	characteristic
1338	C₂×D₄	—	4	2	no	—
1339	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1340	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1341	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1342	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1343	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1344	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1345	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1346	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1347	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1348	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1349	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1350	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1351	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1352	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1353	C₂×D₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1354	C₂²×C₄	—	4	1	no	—
1355	C₂²×C₄	—	4	1	no	—
1356	C₂²×C₄	—	4	1	no	—
1357	C₂²×C₄	—	4	1	no	—
1358	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1359	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1360	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1361	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1362	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1366	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1370	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1373	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1375	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1376	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1377	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1385	M₁₆	—	4	1	no	—
1386	M₁₆	—	4	1	no	—
1387	M₁₆	—	4	1	no	—
1388	M₁₆	—	4	1	no	—
1389	M₁₆	—	4	1	no	—
1390	M₁₆	—	4	1	no	—
1391	M₁₆	—	4	1	no	—
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	4	1	no	—
1395	M₁₆	—	4	1	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	4	1	no	—
1398	C₂×C₈	—	4	1	no	—
1399	C₂×C₈	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	—	4	1	no	—
1402	C₂×C₈	—	4	1	no	—
1403	C₂×C₈	—	4	1	no	—
1404	C₂×C₈	—	4	1	no	—
1405	C₂×C₈	—	4	1	no	—
1406	C₂×C₈	—	4	1	no	—
1407	C₂×C₈	—	4	1	no	—
1408	C₂×C₈	—	4	1	no	—
1409	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1410	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1411	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1412	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1413	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1423	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1424	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1433	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1434	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1439	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1440	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1441	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1442	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1443	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1445	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1447	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1448	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1449	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1450	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1451	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1452	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1453	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1454	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1457	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1458	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1459	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1460	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1461	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1482	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1483	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1491	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1492	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1504	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
1509	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1510	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1511	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1512	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1513	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1514	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1515	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1516	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1517	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1518	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1519	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1520	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1521	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1522	C₄²	C₂²×C₄×C₂₃	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1530	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1531	C₂³	—	2	2	no	—
1532	C₂³	—	4	1	no	—
1533	C₂³	—	4	1	no	—
1534	C₂³	—	4	1	no	—
1535	C₂³	—	4	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1538	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1539	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1540	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1541	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1542	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1543	C₂³	C₂³×C₄×C₂₃	1	1	yes	characteristic
1544	Q₈	—	4	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	4	1	no	—
1547	Q₈	—	4	1	no	—
1548	Q₈	—	4	1	no	—
1549	D₄	—	2	2	no	—
1550	D₄	—	2	2	no	—
1551	D₄	—	2	2	no	—
1552	D₄	—	2	2	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	1	no	—
1556	D₄	—	4	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	2	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	4	1	no	—
1581	C₂×C₄	—	4	1	no	—
1582	C₂×C₄	—	4	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	1	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	4	1	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1599	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1600	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1601	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1602	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1603	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1604	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1605	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1606	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1607	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1608	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1609	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1610	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1611	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1612	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1613	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1614	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1615	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1616	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1617	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1618	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1619	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1620	C₂×C₄	C₂³×C₄×C₂₃	1	1	yes	characteristic
1621	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	2	1	no	—
1626	C₈	—	2	1	no	—
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	8	2	no	—
1659	C₂²	—	8	2	no	—
1660	C₂²	C₂₃×#568	1	2	yes	—
1661	C₂²	C₂⁴×C₄×C₂₃	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	C₂₃×#585	1	1	yes	characteristic
1686	C₄	C₂₃×#585	1	1	yes	characteristic
1687	C₂	—	2	2	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	4	1	no	—
1694	C₂	C₂₃×#3428	1	1	yes	characteristic
1695	C₂	C₂×C₂₃×#568	1	1	yes	characteristic
1696	C₂	C₂₃×#3573	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₂₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₂₃
Frattini, cosocle	C₂×C₄	C₂⁵×C₂₃
socle	C₂²×C₂₃	C₂⁴×C₄
prime radical	C₂₃×#3475	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₂₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂₃×#2995	C₂	semidirect
3. C₂₃×#2995	C₂	semidirect
4. C₂₃×#2994	C₂	semidirect
5. C₂₃×#2993	C₂	semidirect
6. C₂₃×#2992	C₂	semidirect
7. C₂₃×#2992	C₂	semidirect
8. C₂₃×#2990	C₂	semidirect
9. C₂₃×#2989	C₂	semidirect
10. C₂₃×#2987	C₂	semidirect
11. C₂₃×#2985	C₂	semidirect
12. C₂₃×#2978	C₂	semidirect
13. C₂₃×#2977	C₂	semidirect
14. C₂₃×#2976	C₂	semidirect
15. C₂₃×#2976	C₂	semidirect
16. C₂₃×#2974	C₂	semidirect
17. C₂₃×#2973	C₂	semidirect
18. C₂₃×#2970	C₂	semidirect
19. C₂₃×#2969	C₂	semidirect
20. C₂₃×#2968	C₂	semidirect
21. C₂₃×#2968	C₂	semidirect
22. C₂₃×#2967	C₂	semidirect
23. C₂₃×#2967	C₂	semidirect
24. C₂₃×#2966	C₂	semidirect
25. C₂₃×#2965	C₂	semidirect
26. C₂₃×#2925	C₂	semidirect
27. C₂₃×#2924	C₂	semidirect
28. C₂₃×#2924	C₂	semidirect
29. C₂₃×#2923	C₂	semidirect
30. C₂₃×#2921	C₂	semidirect
31. C₂×C₂₃×#433	C₂	semidirect
63. C₂₃×#446	C₂²	semidirect
64. C₂₃×#446	C₂²	semidirect
65. C₂₃×#446	C₂²	semidirect
66. C₂₃×#446	C₂²	semidirect
67. C₂₃×#446	C₂²	semidirect
68. C₂₃×#446	C₂²	semidirect
69. C₂₃×#446	C₂²	semidirect
70. C₂₃×#446	C₂²	semidirect
71. C₂₃×#446	C₂²	semidirect
72. C₂₃×#446	C₂²	semidirect
73. C₂₃×#446	C₂²	semidirect
74. C₂₃×#446	C₂²	semidirect
75. C₂₃×#446	C₂²	semidirect
76. C₂₃×#446	C₂²	semidirect
77. C₈×Q₈×C₂₃	C₂²	semidirect
78. C₈×Q₈×C₂₃	C₂²	semidirect
81. C₂₃×#436	C₂²	semidirect
82. C₂₃×#436	C₂²	semidirect
83. C₂₃×#436	C₂²	semidirect
84. C₂₃×#436	C₂²	semidirect
85. C₂₃×#436	C₂²	semidirect
86. C₂₃×#436	C₂²	semidirect
87. C₂₃×#436	C₂²	semidirect
88. C₂₃×#436	C₂²	semidirect
101. C₂₃×#435	C₂²	semidirect
102. C₂₃×#435	C₂²	semidirect
103. C₂₃×#435	C₂²	semidirect
104. C₂₃×#435	C₂²	semidirect
105. C₂₃×#435	C₂²	semidirect
106. C₂₃×#435	C₂²	semidirect
107. C₂₃×#435	C₂²	semidirect
108. C₂₃×#435	C₂²	semidirect
109. C₂₃×#435	C₂²	semidirect
110. C₂₃×#435	C₂²	semidirect
111. C₂₃×#435	C₂²	semidirect
112. C₂₃×#435	C₂²	semidirect
113. C₂₃×#435	C₂²	semidirect
114. C₂₃×#435	C₂²	semidirect
115. C₂₃×#435	C₂²	semidirect
116. C₂₃×#435	C₂²	semidirect
119. C₈×D₄×C₂₃	C₂²	semidirect
120. C₈×D₄×C₂₃	C₂²	semidirect
121. C₈×D₄×C₂₃	C₂²	semidirect
122. C₈×D₄×C₂₃	C₂²	semidirect
123. C₈×D₄×C₂₃	C₂²	semidirect
124. C₈×D₄×C₂₃	C₂²	semidirect
125. C₈×D₄×C₂₃	C₂²	semidirect
126. C₈×D₄×C₂₃	C₂²	semidirect
139. C₂₃×#433	C₂²	semidirect
140. C₂₃×#433	C₂²	semidirect
141. C₂₃×#433	C₂²	semidirect
142. C₂₃×#433	C₂²	semidirect
143. C₂₃×#433	C₂²	semidirect
144. C₂₃×#433	C₂²	semidirect
145. C₂₃×#433	C₂²	semidirect
146. C₂₃×#433	C₂²	semidirect
147. C₂₃×#433	C₂²	semidirect
148. C₂₃×#433	C₂²	semidirect
149. C₂₃×#433	C₂²	semidirect
150. C₂₃×#433	C₂²	semidirect
154. C₂₃×#432	C₂²	semidirect
155. C₂₃×#432	C₂²	semidirect
156. C₂₃×#432	C₂²	semidirect
157. C₂₃×#432	C₂²	semidirect
158. C₂₃×#432	C₂²	semidirect
159. C₂₃×#432	C₂²	semidirect
160. C₂₃×#432	C₂²	semidirect
162. C₂₃×#431	C₂²	semidirect
163. C₂₃×#431	C₂²	semidirect
164. C₂₃×#431	C₂²	semidirect
165. C₂₃×#431	C₂²	semidirect
166. C₂₃×#431	C₂²	semidirect
167. C₂₃×#424	C₂²	semidirect
168. C₂₃×#424	C₂²	semidirect
169. C₂₃×#424	C₂²	semidirect
170. C₂₃×#424	C₂²	semidirect
171. C₂₃×#424	C₂²	semidirect
172. C₂₃×#424	C₂²	semidirect
173. C₂₃×#423	C₂²	semidirect
174. C₂₃×#423	C₂²	semidirect
175. C₂₃×#423	C₂²	semidirect
176. C₂×C₂₃×C₄⋊C₈	C₂²	semidirect
177. C₂×C₂₃×C₄⋊C₈	C₂²	semidirect
178. C₂×C₂₃×C₄⋊C₈	C₂²	semidirect
191. C₂₃×#405	C₂²	semidirect
192. C₂₃×#405	C₂²	semidirect
193. C₂₃×#405	C₂²	semidirect
194. C₂₃×#405	C₂²	semidirect
195. C₂₃×#405	C₂²	semidirect
196. C₂₃×#405	C₂²	semidirect
197. C₄×M₁₆×C₂₃	C₂²	semidirect
198. C₄×M₁₆×C₂₃	C₂²	semidirect
199. C₄×M₁₆×C₂₃	C₂²	semidirect
200. C₂×C₂₃×#97	C₂²	semidirect
201. C₂×C₂₃×#97	C₂²	semidirect
202. C₂×C₄×C₈×C₂₃	C₂²	semidirect
682. #60299	C₂₃	direct (N × H)
791. #2995	C₂×C₂₃	semidirect
792. #2995	C₂×C₂₃	semidirect
793. #2994	C₂×C₂₃	semidirect
794. #2993	C₂×C₂₃	semidirect
795. #2992	C₂×C₂₃	semidirect
796. #2992	C₂×C₂₃	semidirect
797. #2990	C₂×C₂₃	semidirect
798. #2989	C₂×C₂₃	semidirect
799. #2987	C₂×C₂₃	semidirect
800. #2985	C₂×C₂₃	semidirect
801. #2978	C₂×C₂₃	semidirect
802. #2977	C₂×C₂₃	semidirect
803. #2976	C₂×C₂₃	semidirect
804. #2976	C₂×C₂₃	semidirect
805. #2974	C₂×C₂₃	semidirect
806. #2973	C₂×C₂₃	semidirect
807. #2970	C₂×C₂₃	semidirect
808. #2969	C₂×C₂₃	semidirect
809. #2968	C₂×C₂₃	semidirect
810. #2968	C₂×C₂₃	semidirect
811. #2967	C₂×C₂₃	semidirect
812. #2967	C₂×C₂₃	semidirect
813. #2966	C₂×C₂₃	semidirect
814. #2965	C₂×C₂₃	semidirect
815. #2925	C₂×C₂₃	semidirect
816. #2924	C₂×C₂₃	semidirect
817. #2924	C₂×C₂₃	semidirect
818. #2923	C₂×C₂₃	semidirect
819. #2921	C₂×C₂₃	semidirect
820. C₂×#433	C₂×C₂₃	semidirect
901. #446	C₂²×C₂₃	semidirect
902. #446	C₂²×C₂₃	semidirect
903. #446	C₂²×C₂₃	semidirect
904. #446	C₂²×C₂₃	semidirect
905. #446	C₂²×C₂₃	semidirect
906. #446	C₂²×C₂₃	semidirect
907. #446	C₂²×C₂₃	semidirect
908. #446	C₂²×C₂₃	semidirect
909. #446	C₂²×C₂₃	semidirect
910. #446	C₂²×C₂₃	semidirect
911. #446	C₂²×C₂₃	semidirect
912. #446	C₂²×C₂₃	semidirect
913. #446	C₂²×C₂₃	semidirect
914. #446	C₂²×C₂₃	semidirect
915. C₈×Q₈	C₂²×C₂₃	semidirect
916. C₈×Q₈	C₂²×C₂₃	semidirect
919. #436	C₂²×C₂₃	semidirect
920. #436	C₂²×C₂₃	semidirect
921. #436	C₂²×C₂₃	semidirect
922. #436	C₂²×C₂₃	semidirect
923. #436	C₂²×C₂₃	semidirect
924. #436	C₂²×C₂₃	semidirect
925. #436	C₂²×C₂₃	semidirect
926. #436	C₂²×C₂₃	semidirect
939. #435	C₂²×C₂₃	semidirect
940. #435	C₂²×C₂₃	semidirect
941. #435	C₂²×C₂₃	semidirect
942. #435	C₂²×C₂₃	semidirect
943. #435	C₂²×C₂₃	semidirect
944. #435	C₂²×C₂₃	semidirect
945. #435	C₂²×C₂₃	semidirect
946. #435	C₂²×C₂₃	semidirect
947. #435	C₂²×C₂₃	semidirect
948. #435	C₂²×C₂₃	semidirect
949. #435	C₂²×C₂₃	semidirect
950. #435	C₂²×C₂₃	semidirect
951. #435	C₂²×C₂₃	semidirect
952. #435	C₂²×C₂₃	semidirect
953. #435	C₂²×C₂₃	semidirect
954. #435	C₂²×C₂₃	semidirect
957. C₈×D₄	C₂²×C₂₃	semidirect
958. C₈×D₄	C₂²×C₂₃	semidirect
959. C₈×D₄	C₂²×C₂₃	semidirect
960. C₈×D₄	C₂²×C₂₃	semidirect
961. C₈×D₄	C₂²×C₂₃	semidirect
962. C₈×D₄	C₂²×C₂₃	semidirect
963. C₈×D₄	C₂²×C₂₃	semidirect
964. C₈×D₄	C₂²×C₂₃	semidirect
977. #433	C₂²×C₂₃	semidirect
978. #433	C₂²×C₂₃	semidirect
979. #433	C₂²×C₂₃	semidirect
980. #433	C₂²×C₂₃	semidirect
981. #433	C₂²×C₂₃	semidirect
982. #433	C₂²×C₂₃	semidirect
983. #433	C₂²×C₂₃	semidirect
984. #433	C₂²×C₂₃	semidirect
985. #433	C₂²×C₂₃	semidirect
986. #433	C₂²×C₂₃	semidirect
987. #433	C₂²×C₂₃	semidirect
988. #433	C₂²×C₂₃	semidirect
992. #432	C₂²×C₂₃	semidirect
993. #432	C₂²×C₂₃	semidirect
994. #432	C₂²×C₂₃	semidirect
995. #432	C₂²×C₂₃	semidirect
996. #432	C₂²×C₂₃	semidirect
997. #432	C₂²×C₂₃	semidirect
998. #432	C₂²×C₂₃	semidirect
1000. #431	C₂²×C₂₃	semidirect
1001. #431	C₂²×C₂₃	semidirect
1002. #431	C₂²×C₂₃	semidirect
1003. #431	C₂²×C₂₃	semidirect
1004. #431	C₂²×C₂₃	semidirect
1005. #424	C₂²×C₂₃	semidirect
1006. #424	C₂²×C₂₃	semidirect
1007. #424	C₂²×C₂₃	semidirect
1008. #424	C₂²×C₂₃	semidirect
1009. #424	C₂²×C₂₃	semidirect
1010. #424	C₂²×C₂₃	semidirect
1011. #423	C₂²×C₂₃	semidirect
1012. #423	C₂²×C₂₃	semidirect
1013. #423	C₂²×C₂₃	semidirect
1014. C₂×C₄⋊C₈	C₂²×C₂₃	semidirect
1015. C₂×C₄⋊C₈	C₂²×C₂₃	semidirect
1016. C₂×C₄⋊C₈	C₂²×C₂₃	semidirect
1029. #405	C₂²×C₂₃	semidirect
1030. #405	C₂²×C₂₃	semidirect
1031. #405	C₂²×C₂₃	semidirect
1032. #405	C₂²×C₂₃	semidirect
1033. #405	C₂²×C₂₃	semidirect
1034. #405	C₂²×C₂₃	semidirect
1035. C₄×M₁₆	C₂²×C₂₃	semidirect
1036. C₄×M₁₆	C₂²×C₂₃	semidirect
1037. C₄×M₁₆	C₂²×C₂₃	semidirect
1038. C₂×#97	C₂²×C₂₃	semidirect
1039. C₂×#97	C₂²×C₂₃	semidirect
1040. C₂×C₄×C₈	C₂²×C₂₃	semidirect
1326. C₂₃	#60299	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×#3475	2
C₂₃×#2995	2
C₂₃×#2994	2
C₂₃×#2993	2
C₂₃×#2992	2
C₂₃×#2990	2
C₂₃×#2989	2
C₂₃×#2987	2
C₂₃×#2985	2
C₂₃×#2978	2
C₂₃×#2977	2
C₂₃×#2976	2
C₂₃×#2974	2
C₂₃×#2973	2
C₂₃×#2970	2
C₂₃×#2969	2
C₂₃×#2968	2
C₂₃×#2967	2
C₂₃×#2966	2
C₂₃×#2965	2
C₂₃×#2925	2
C₂₃×#2924	2
C₂₃×#2923	2
C₂₃×#2921	2
C₂×C₂₃×#433	2
#60299	23

Subgroups — C23×#60299 #19207925

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#60299 #19207925