Subgroups — C₂₃×#61641 #19209267

Order 5888.

2106 conjugacy classes of subgroups.

The subgroup lattice has 1900 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×#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×SD₁₆×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₃×#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₂₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41×C₂₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₂₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂₃×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic
40	C₂²×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈×C₂₃	C₂²	1	1	yes	characteristic
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
47	C₂₃×#551	—	2	1	no	—
48	C₂₃×#550	C₂²	1	1	yes	characteristic, complemented
49	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
51	C₂₃×#548	C₂²	1	1	yes	characteristic, complemented
52	C₂₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₂₃×#547	—	2	1	no	—
54	C₂₃×#547	—	2	1	no	—
55	C₂₃×#547	C₂²	1	1	yes	characteristic
56	C₂₃×#547	C₂²	1	1	yes	characteristic, complemented
57	C₂₃×#547	C₂²	1	1	yes	characteristic, complemented
58	C₂₃×#546	—	2	1	no	—
59	C₂₃×#546	—	2	1	no	—
60	C₂₃×#546	—	2	1	no	—
61	C₂₃×#546	C₂²	1	1	yes	characteristic
62	C₂₃×#546	C₂²	1	1	yes	characteristic
63	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
64	C₂₃×#546	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₂₃	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
71	C₂₃×#537	C₂²	1	1	yes	characteristic, complemented
72	C₂₃×#537	C₂²	1	1	yes	characteristic, complemented
73	C₂₃×#536	—	2	1	no	—
74	C₂₃×#536	C₂²	1	1	yes	characteristic, complemented
75	C₂₃×#535	—	2	1	no	—
76	C₂₃×#535	C₂²	1	1	yes	characteristic, complemented
77	C₂₃×#534	—	2	1	no	—
78	C₂₃×#525	—	2	1	no	—
79	C₂₃×#525	C₂²	1	1	yes	characteristic
80	C₂₃×#525	C₂²	1	1	yes	characteristic
81	C₂×C₂₃×C₂²⋊Q₈	—	2	1	no	—
82	C₂×C₂₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₂₃×#121	C₂²	1	1	yes	characteristic
84	C₂₃×#520	C₂²	1	1	yes	characteristic, complemented
85	C₂₃×#497	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×#492	C₂²	1	1	yes	characteristic, complemented
89	C₂₃×#491	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×#487	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×#485	C₂²	1	1	yes	characteristic, complemented
96	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₂₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₂₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
102	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₂₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₂₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₂₃×#479	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×#475	C₂²	1	1	yes	characteristic, complemented
109	C₂₃×#470	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×#468	C₂²	1	1	yes	characteristic, complemented
113	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
114	C₂₃×#467	C₂²	1	1	yes	characteristic, complemented
115	C₂₃×#466	C₂²	1	1	yes	characteristic, complemented
116	C₂₃×#465	C₂²	1	1	yes	characteristic
117	C₂₃×#465	C₂²	1	1	yes	characteristic
118	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
119	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
120	C₂₃×#465	C₂²	1	1	yes	characteristic, complemented
121	C₂₃×#465	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×#464	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×#462	C₂²	1	1	yes	characteristic, complemented
132	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
133	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
134	C₂₃×#461	C₂²	1	1	yes	characteristic, complemented
135	C₂₃×#460	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×#452	C₂²	1	1	yes	characteristic, complemented
141	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₂₃×#452	C₂²	1	1	yes	characteristic, complemented
143	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
144	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
145	C₂₃×#451	C₂²	1	1	yes	characteristic, complemented
146	C₂₃×#450	C₂²	1	1	yes	characteristic
147	C₂₃×#450	C₂²	1	1	yes	characteristic
148	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
149	C₂₃×#450	C₂²	1	1	yes	characteristic, complemented
150	C₂₃×#449	C₂²	1	1	yes	characteristic
151	C₂₃×#449	C₂²	1	1	yes	characteristic
152	C₂₃×#449	C₂²	1	1	yes	characteristic
153	C₂₃×#449	C₂²	1	1	yes	characteristic
154	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
155	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
156	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
157	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
158	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
159	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
160	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
161	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
162	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
163	C₂₃×#449	C₂²	1	1	yes	characteristic, complemented
164	C₂₃×#448	C₂²	1	1	yes	characteristic
165	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
166	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
167	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
168	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
169	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
170	C₂₃×#448	C₂²	1	1	yes	characteristic, complemented
171	C₂₃×#447	C₂²	1	1	yes	characteristic
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×#441	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×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₂₃	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
181	C₂₃×#435	C₂²	1	1	yes	characteristic
182	C₂₃×#435	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	C₈×D₄×C₂₃	C₂²	1	1	yes	characteristic
186	C₈×D₄×C₂₃	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×#419	C₂²	1	1	yes	characteristic, complemented
192	C₂₃×#417	C₂²	1	1	yes	characteristic, complemented
193	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
194	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
195	C₂₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂₃×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂₃×#103	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	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂₃×2₋¹⁺⁴	—	4	2	no	—
204	C₂₃×2₋¹⁺⁴	—	4	2	no	—
205	C₂×#41×C₂₃	—	2	1	no	—
206	C₂×#41×C₂₃	—	2	1	no	—
207	C₂×#41×C₂₃	—	2	1	no	—
208	C₂×#41×C₂₃	—	2	1	no	—
209	C₂×#41×C₂₃	—	2	1	no	—
210	C₂×#41×C₂₃	—	2	1	no	—
211	C₂×#41×C₂₃	—	4	2	no	—
212	C₂×#41×C₂₃	—	4	2	no	—
213	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
214	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
215	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
216	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
217	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
218	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
219	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
220	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
221	C₂×#41×C₂₃	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₂₃	—	2	1	no	—
223	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
225	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₂₃	C₂³	1	1	yes	characteristic
227	C₂²×D₄×C₂₃	—	2	1	no	—
228	C₂²×D₄×C₂₃	—	2	1	no	—
229	C₂²×D₄×C₂₃	—	2	1	no	—
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	C₂³×C₄×C₂₃	—	2	1	no	—
234	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
235	C₂₃×#137	—	4	2	no	—
236	C₂₃×AGL(1,ℤ/8)	—	4	2	no	—
237	C₂₃×#135	—	4	2	no	—
238	C₂₃×#135	—	4	2	no	—
239	C₂₃×#135	—	4	2	no	—
240	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
241	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
242	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆×C₂₃	C₂³	1	1	yes	characteristic
244	C₂×SD₁₆×C₂₃	—	4	2	no	—
245	C₂×SD₁₆×C₂₃	—	4	2	no	—
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
250	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
258	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆×C₂₃	C₂³	1	1	yes	characteristic
260	C₂×D₈×C₂₃	—	4	2	no	—
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×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
268	C₂×M₁₆×C₂₃	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₂₃	C₂³	1	1	yes	characteristic
275	C₂₃×C₄⋊Q₈	—	2	1	no	—
276	C₂₃×C₄⋊Q₈	—	2	1	no	—
277	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₂₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	C₂₃×#127	—	2	1	no	—
281	C₂₃×#127	—	2	1	no	—
282	C₂₃×#127	C₂³	1	1	yes	characteristic
283	C₂₃×#126	—	2	1	no	—
284	C₂₃×#126	—	2	1	no	—
285	C₂₃×#126	—	2	1	no	—
286	C₂₃×#125	—	2	1	no	—
287	C₂₃×#125	C₂³	1	1	yes	characteristic
288	C₂₃×#124	—	2	1	no	—
289	C₂₃×#124	—	2	1	no	—
290	C₂₃×#124	—	2	1	no	—
291	C₂₃×#124	—	2	1	no	—
292	C₂₃×#124	—	2	1	no	—
293	C₂₃×#124	—	2	1	no	—
294	C₂₃×#124	C₂³	1	1	yes	characteristic
295	C₂₃×#124	C₂³	1	1	yes	characteristic
296	C₂₃×#124	C₂³	1	1	yes	characteristic
297	C₂₃×#123	—	2	1	no	—
298	C₂₃×#123	—	2	1	no	—
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	—	2	1	no	—
315	C₂₃×#123	D₄	1	1	yes	characteristic
316	C₂₃×#123	D₄	1	1	yes	characteristic
317	C₂₃×C₂²⋊Q₈	—	2	1	no	—
318	C₂₃×C₂²⋊Q₈	—	2	1	no	—
319	C₂₃×C₂²⋊Q₈	—	2	1	no	—
320	C₂₃×C₂²⋊Q₈	—	2	1	no	—
321	C₂₃×C₂²⋊Q₈	—	2	1	no	—
322	C₂₃×C₂²⋊Q₈	—	2	1	no	—
323	C₂₃×C₂²⋊Q₈	—	2	1	no	—
324	C₂₃×C₂²⋊Q₈	—	2	1	no	—
325	C₂₃×C₂²⋊Q₈	—	2	1	no	—
326	C₂₃×C₂²⋊Q₈	—	2	1	no	—
327	C₂₃×C₂²⋊Q₈	—	2	1	no	—
328	C₂₃×C₂²⋊Q₈	—	2	1	no	—
329	C₂₃×C₂²⋊Q₈	—	2	1	no	—
330	C₂₃×C₂²⋊Q₈	—	2	1	no	—
331	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
332	C₂₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
333	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₂₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₂₃×#121	—	2	1	no	—
343	C₂₃×#121	—	2	1	no	—
344	C₂₃×#121	—	2	1	no	—
345	C₂₃×#121	—	2	1	no	—
346	C₂₃×#121	—	2	1	no	—
347	C₂₃×#121	—	2	1	no	—
348	C₂₃×#121	—	2	1	no	—
349	C₂₃×#121	—	2	1	no	—
350	C₂₃×#121	—	2	1	no	—
351	C₂₃×#121	—	2	1	no	—
352	C₂₃×#121	—	2	1	no	—
353	C₂₃×#121	—	2	1	no	—
354	C₂₃×#121	—	2	1	no	—
355	C₂₃×#121	—	2	1	no	—
356	C₂₃×#121	—	2	1	no	—
357	C₂₃×#121	—	2	1	no	—
358	C₂₃×#121	—	2	1	no	—
359	C₂₃×#121	—	2	1	no	—
360	C₂₃×#121	—	2	1	no	—
361	C₂₃×#121	—	2	1	no	—
362	C₂₃×#121	—	2	1	no	—
363	C₂₃×#121	—	2	1	no	—
364	C₂₃×#121	—	2	1	no	—
365	C₂₃×#121	D₄	1	1	yes	characteristic
366	C₂₃×#121	D₄	1	1	yes	characteristic
367	C₂₃×#121	C₂³	1	1	yes	characteristic
368	C₂₃×#121	C₂³	1	1	yes	characteristic
369	C₂₃×#121	C₂³	1	1	yes	characteristic
370	C₂₃×#121	C₂³	1	1	yes	characteristic
371	C₂₃×#121	C₂³	1	1	yes	characteristic
372	C₂₃×#121	C₂³	1	1	yes	characteristic
373	C₂₃×#121	C₂³	1	1	yes	characteristic
374	C₂₃×#121	C₂³	1	1	yes	characteristic
375	C₂₃×#121	C₂³	1	1	yes	characteristic
376	C₂₃×#121	C₂³	1	1	yes	characteristic
377	C₂₃×#121	C₂³	1	1	yes	characteristic
378	C₂₃×#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	D₄	1	1	yes	characteristic
388	C₂₃×#120	D₄	1	1	yes	characteristic
389	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₂₃	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₂₃	—	2	1	no	—
393	C₄×D₄×C₂₃	—	2	1	no	—
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
411	C₂₃×#117	—	2	1	no	—
412	C₂₃×#117	—	2	1	no	—
413	C₂₃×#117	—	2	1	no	—
414	C₂₃×#117	C₂³	1	1	yes	characteristic
415	C₂₃×#117	C₂³	1	1	yes	characteristic
416	C₂₃×#117	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
418	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
419	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
420	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
421	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
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
431	C₂₃×#107	C₂³	1	1	yes	characteristic
432	C₂₃×#106	C₂³	1	1	yes	characteristic
433	C₂₃×#106	C₂³	1	1	yes	characteristic
434	C₂₃×#106	C₂³	1	1	yes	characteristic
435	C₂₃×#106	C₂³	1	1	yes	characteristic
436	C₂₃×#106	C₂³	1	1	yes	characteristic
437	C₂₃×#106	C₂³	1	1	yes	characteristic
438	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₂₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₂₃×#103	C₂³	1	1	yes	characteristic
443	C₂₃×#103	C₂³	1	1	yes	characteristic
444	C₂₃×#103	C₂³	1	1	yes	characteristic
445	C₂₃×#103	C₂³	1	1	yes	characteristic
446	C₂₃×#103	C₂³	1	1	yes	characteristic
447	C₂₃×#103	C₂³	1	1	yes	characteristic
448	C₂₃×#103	C₂³	1	1	yes	characteristic
449	C₂₃×#103	C₂³	1	1	yes	characteristic
450	C₂₃×#103	C₂³	1	1	yes	characteristic
451	C₂₃×#103	C₂³	1	1	yes	characteristic
452	C₂₃×#103	C₂³	1	1	yes	characteristic
453	C₂₃×#103	C₂³	1	1	yes	characteristic
454	C₂₃×#103	C₂³	1	1	yes	characteristic
455	C₂₃×#103	C₂³	1	1	yes	characteristic
456	C₂₃×#103	C₂³	1	1	yes	characteristic
457	C₂₃×#103	C₂³	1	1	yes	characteristic
458	C₂₃×#103	C₂³	1	1	yes	characteristic
459	C₂₃×#103	C₂³	1	1	yes	characteristic
460	C₂₃×#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
465	C₂₃×#102	C₂³	1	1	yes	characteristic
466	C₂₃×#102	C₂³	1	1	yes	characteristic
467	C₂₃×#102	C₂³	1	1	yes	characteristic
468	C₂₃×#102	C₂³	1	1	yes	characteristic
469	C₂₃×#102	C₂³	1	1	yes	characteristic
470	C₂₃×#102	C₂³	1	1	yes	characteristic
471	C₂₃×#102	C₂³	1	1	yes	characteristic
472	C₂₃×#102	C₂³	1	1	yes	characteristic
473	C₂₃×#102	C₂³	1	1	yes	characteristic
474	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₂₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₂₃×#97	C₂³	1	1	yes	characteristic
487	C₂₃×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₂₃	C₂³	1	1	yes	characteristic
490	C₂⁴×C₂₃	—	2	1	no	—
491	C₂⁴×C₂₃	—	2	1	no	—
492	C₂⁴×C₂₃	—	2	1	no	—
493	C₂⁴×C₂₃	C₂×D₄	1	1	yes	characteristic
494	#41×C₂₃	—	2	2	no	—
495	#41×C₂₃	—	2	2	no	—
496	#41×C₂₃	—	2	2	no	—
497	#41×C₂₃	—	2	2	no	—
498	#41×C₂₃	—	2	2	no	—
499	#41×C₂₃	—	2	2	no	—
500	#41×C₂₃	—	4	1	no	—
501	#41×C₂₃	—	4	1	no	—
502	#41×C₂₃	—	4	1	no	—
503	#41×C₂₃	—	4	1	no	—
504	#41×C₂₃	—	4	1	no	—
505	#41×C₂₃	—	4	1	no	—
506	#41×C₂₃	—	4	1	no	—
507	#41×C₂₃	—	4	1	no	—
508	#41×C₂₃	—	4	4	no	—
509	#41×C₂₃	—	4	4	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	4	no	—
515	#41×C₂₃	—	4	4	no	—
516	#41×C₂₃	—	4	4	no	—
517	#41×C₂₃	—	8	2	no	—
518	C₂×Q₈×C₂₃	—	2	1	no	—
519	C₂×Q₈×C₂₃	—	2	1	no	—
520	C₂×Q₈×C₂₃	—	2	1	no	—
521	C₂×Q₈×C₂₃	—	2	1	no	—
522	C₂×Q₈×C₂₃	—	2	1	no	—
523	C₂×Q₈×C₂₃	—	2	2	no	—
524	C₂×Q₈×C₂₃	—	2	2	no	—
525	C₂×Q₈×C₂₃	—	2	2	no	—
526	C₂×Q₈×C₂₃	—	4	1	no	—
527	C₂×Q₈×C₂₃	—	4	1	no	—
528	C₂×Q₈×C₂₃	—	4	1	no	—
529	C₂×Q₈×C₂₃	—	4	1	no	—
530	C₂×Q₈×C₂₃	—	4	1	no	—
531	C₂×Q₈×C₂₃	—	4	4	no	—
532	C₂×Q₈×C₂₃	C₂×D₄	1	1	yes	characteristic
533	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈×C₂₃	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₂₃	—	2	1	no	—
539	C₂×D₄×C₂₃	—	2	2	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	—	4	1	no	—
564	C₂×D₄×C₂₃	—	4	1	no	—
565	C₂×D₄×C₂₃	—	4	1	no	—
566	C₂×D₄×C₂₃	—	4	1	no	—
567	C₂×D₄×C₂₃	—	4	1	no	—
568	C₂×D₄×C₂₃	—	4	4	no	—
569	C₂×D₄×C₂₃	—	8	2	no	—
570	C₂×D₄×C₂₃	—	8	2	no	—
571	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₂₃	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
579	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
580	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
582	C₂×D₄×C₂₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₂₃	—	2	1	no	—
584	C₂²×C₄×C₂₃	—	2	1	no	—
585	C₂²×C₄×C₂₃	—	2	1	no	—
586	C₂²×C₄×C₂₃	—	2	1	no	—
587	C₂²×C₄×C₂₃	—	2	1	no	—
588	C₂²×C₄×C₂₃	—	2	1	no	—
589	C₂²×C₄×C₂₃	—	2	1	no	—
590	C₂²×C₄×C₂₃	—	2	1	no	—
591	C₂²×C₄×C₂₃	—	2	1	no	—
592	C₂²×C₄×C₂₃	—	2	1	no	—
593	C₂²×C₄×C₂₃	—	2	1	no	—
594	C₂²×C₄×C₂₃	—	2	1	no	—
595	C₂²×C₄×C₂₃	—	2	1	no	—
596	C₂²×C₄×C₂₃	—	2	1	no	—
597	C₂²×C₄×C₂₃	—	2	1	no	—
598	C₂²×C₄×C₂₃	—	2	1	no	—
599	C₂²×C₄×C₂₃	—	2	1	no	—
600	C₂²×C₄×C₂₃	—	2	1	no	—
601	C₂²×C₄×C₂₃	—	2	1	no	—
602	C₂²×C₄×C₂₃	—	2	1	no	—
603	C₂²×C₄×C₂₃	—	4	1	no	—
604	C₂²×C₄×C₂₃	—	4	1	no	—
605	C₂²×C₄×C₂₃	—	4	4	no	—
606	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
607	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
608	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
609	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
614	Q₁₆×C₂₃	—	2	2	no	—
615	Q₁₆×C₂₃	—	4	1	no	—
616	Q₁₆×C₂₃	—	4	1	no	—
617	Q₁₆×C₂₃	—	4	1	no	—
618	SD₁₆×C₂₃	—	2	2	no	—
619	SD₁₆×C₂₃	—	2	2	no	—
620	SD₁₆×C₂₃	—	2	2	no	—
621	SD₁₆×C₂₃	—	2	2	no	—
622	SD₁₆×C₂₃	—	4	1	no	—
623	SD₁₆×C₂₃	—	4	1	no	—
624	SD₁₆×C₂₃	—	4	1	no	—
625	SD₁₆×C₂₃	—	4	1	no	—
626	SD₁₆×C₂₃	—	4	1	no	—
627	SD₁₆×C₂₃	—	4	1	no	—
628	SD₁₆×C₂₃	—	4	1	no	—
629	SD₁₆×C₂₃	—	4	1	no	—
630	SD₁₆×C₂₃	—	4	1	no	—
631	SD₁₆×C₂₃	—	4	1	no	—
632	D₈×C₂₃	—	2	2	no	—
633	D₈×C₂₃	—	2	2	no	—
634	D₈×C₂₃	—	2	2	no	—
635	D₈×C₂₃	—	4	1	no	—
636	D₈×C₂₃	—	4	1	no	—
637	D₈×C₂₃	—	4	1	no	—
638	M₁₆×C₂₃	—	4	1	no	—
639	M₁₆×C₂₃	—	4	1	no	—
640	C₂×C₈×C₂₃	—	4	1	no	—
641	C₂×C₈×C₂₃	—	4	1	no	—
642	C₂×C₈×C₂₃	—	4	1	no	—
643	C₂×C₈×C₂₃	—	4	1	no	—
644	C₂×C₈×C₂₃	—	4	1	no	—
645	C₂×C₈×C₂₃	—	4	1	no	—
646	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
652	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
653	C₂×C₈×C₂₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊C₄×C₂₃	—	2	1	no	—
655	C₄⋊C₄×C₂₃	—	2	1	no	—
656	C₄⋊C₄×C₂₃	—	2	1	no	—
657	C₄⋊C₄×C₂₃	—	2	1	no	—
658	C₄⋊C₄×C₂₃	—	2	1	no	—
659	C₄⋊C₄×C₂₃	—	2	1	no	—
660	C₄⋊C₄×C₂₃	—	2	1	no	—
661	C₄⋊C₄×C₂₃	—	2	1	no	—
662	C₄⋊C₄×C₂₃	—	2	1	no	—
663	C₄⋊C₄×C₂₃	—	2	1	no	—
664	C₄⋊C₄×C₂₃	—	2	1	no	—
665	C₄⋊C₄×C₂₃	—	2	1	no	—
666	C₄⋊C₄×C₂₃	—	2	1	no	—
667	C₄⋊C₄×C₂₃	—	2	1	no	—
668	C₄⋊C₄×C₂₃	—	2	1	no	—
669	C₄⋊C₄×C₂₃	—	2	1	no	—
670	C₄⋊C₄×C₂₃	—	2	1	no	—
671	C₄⋊C₄×C₂₃	—	2	1	no	—
672	C₄⋊C₄×C₂₃	—	2	1	no	—
673	C₄⋊C₄×C₂₃	—	2	1	no	—
674	C₄⋊C₄×C₂₃	—	2	1	no	—
675	C₄⋊C₄×C₂₃	—	2	1	no	—
676	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
678	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
683	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
684	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
686	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄×C₂₃	C₂⁴	1	1	yes	characteristic
688	C₂²⋊C₄×C₂₃	—	2	1	no	—
689	C₂²⋊C₄×C₂₃	—	2	1	no	—
690	C₂²⋊C₄×C₂₃	—	2	1	no	—
691	C₂²⋊C₄×C₂₃	—	2	1	no	—
692	C₂²⋊C₄×C₂₃	—	2	1	no	—
693	C₂²⋊C₄×C₂₃	—	2	1	no	—
694	C₂²⋊C₄×C₂₃	—	2	1	no	—
695	C₂²⋊C₄×C₂₃	—	2	1	no	—
696	C₂²⋊C₄×C₂₃	—	2	1	no	—
697	C₂²⋊C₄×C₂₃	—	2	1	no	—
698	C₂²⋊C₄×C₂₃	—	2	1	no	—
699	C₂²⋊C₄×C₂₃	—	2	1	no	—
700	C₂²⋊C₄×C₂₃	—	2	1	no	—
701	C₂²⋊C₄×C₂₃	—	2	1	no	—
702	C₂²⋊C₄×C₂₃	—	2	1	no	—
703	C₂²⋊C₄×C₂₃	—	2	1	no	—
704	C₂²⋊C₄×C₂₃	—	2	1	no	—
705	C₂²⋊C₄×C₂₃	—	2	1	no	—
706	C₂²⋊C₄×C₂₃	—	2	1	no	—
707	C₂²⋊C₄×C₂₃	—	2	1	no	—
708	C₂²⋊C₄×C₂₃	—	2	1	no	—
709	C₂²⋊C₄×C₂₃	—	2	1	no	—
710	C₂²⋊C₄×C₂₃	—	2	1	no	—
711	C₂²⋊C₄×C₂₃	—	2	1	no	—
712	C₂²⋊C₄×C₂₃	—	2	1	no	—
713	C₂²⋊C₄×C₂₃	—	2	1	no	—
714	C₂²⋊C₄×C₂₃	—	2	1	no	—
715	C₂²⋊C₄×C₂₃	—	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	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
723	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
724	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
726	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₂₃	—	2	1	no	—
732	C₄²×C₂₃	—	2	1	no	—
733	C₄²×C₂₃	—	2	1	no	—
734	C₄²×C₂₃	—	2	1	no	—
735	C₄²×C₂₃	—	2	1	no	—
736	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
737	C₄²×C₂₃	C₂⁴	1	1	yes	characteristic
738	#61641	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
739	C₂³×C₂₃	—	2	1	no	—
740	C₂³×C₂₃	—	2	2	no	—
741	C₂³×C₂₃	—	2	1	no	—
742	C₂³×C₂₃	—	2	1	no	—
743	C₂³×C₂₃	—	2	1	no	—
744	C₂³×C₂₃	—	2	1	no	—
745	C₂³×C₂₃	—	4	1	no	—
746	C₂³×C₂₃	—	4	1	no	—
747	C₂³×C₂₃	—	4	2	no	—
748	C₂³×C₂₃	—	4	2	no	—
749	C₂³×C₂₃	—	4	2	no	—
750	C₂³×C₂₃	—	8	1	no	—
751	C₂³×C₂₃	—	8	1	no	—
752	C₂³×C₂₃	—	8	1	no	—
753	C₂³×C₂₃	—	8	1	no	—
754	C₂³×C₂₃	—	8	1	no	—
755	C₂³×C₂₃	—	8	1	no	—
756	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
760	C₂³×C₂₃	C₂²×D₄	1	1	yes	characteristic
761	Q₈×C₂₃	—	2	1	no	—
762	Q₈×C₂₃	—	2	1	no	—
763	Q₈×C₂₃	—	2	1	no	—
764	Q₈×C₂₃	—	2	1	no	—
765	Q₈×C₂₃	—	2	1	no	—
766	Q₈×C₂₃	—	2	1	no	—
767	Q₈×C₂₃	—	2	1	no	—
768	Q₈×C₂₃	—	2	1	no	—
769	Q₈×C₂₃	—	2	1	no	—
770	Q₈×C₂₃	—	4	1	no	—
771	Q₈×C₂₃	—	4	2	no	—
772	Q₈×C₂₃	—	4	2	no	—
773	Q₈×C₂₃	—	4	2	no	—
774	Q₈×C₂₃	—	4	2	no	—
775	Q₈×C₂₃	—	8	1	no	—
776	Q₈×C₂₃	H(5,𝔽₂)	1	2	yes	—
777	D₄×C₂₃	—	2	4	no	—
778	D₄×C₂₃	—	2	2	no	—
779	D₄×C₂₃	—	2	2	no	—
780	D₄×C₂₃	—	2	1	no	—
781	D₄×C₂₃	—	2	1	no	—
782	D₄×C₂₃	—	2	1	no	—
783	D₄×C₂₃	—	2	1	no	—
784	D₄×C₂₃	—	2	1	no	—
785	D₄×C₂₃	—	2	1	no	—
786	D₄×C₂₃	—	2	1	no	—
787	D₄×C₂₃	—	2	1	no	—
788	D₄×C₂₃	—	2	1	no	—
789	D₄×C₂₃	—	4	1	no	—
790	D₄×C₂₃	—	4	1	no	—
791	D₄×C₂₃	—	4	1	no	—
792	D₄×C₂₃	—	4	1	no	—
793	D₄×C₂₃	—	4	1	no	—
794	D₄×C₂₃	—	4	2	no	—
795	D₄×C₂₃	—	4	2	no	—
796	D₄×C₂₃	—	4	2	no	—
797	D₄×C₂₃	—	4	2	no	—
798	D₄×C₂₃	—	4	2	no	—
799	D₄×C₂₃	—	4	2	no	—
800	D₄×C₂₃	—	4	2	no	—
801	D₄×C₂₃	—	8	1	no	—
802	D₄×C₂₃	—	8	1	no	—
803	D₄×C₂₃	—	8	1	no	—
804	D₄×C₂₃	—	8	1	no	—
805	D₄×C₂₃	—	8	1	no	—
806	D₄×C₂₃	—	8	1	no	—
807	D₄×C₂₃	—	8	1	no	—
808	D₄×C₂₃	—	8	1	no	—
809	D₄×C₂₃	—	8	1	no	—
810	D₄×C₂₃	—	8	1	no	—
811	D₄×C₂₃	—	8	1	no	—
812	D₄×C₂₃	—	8	1	no	—
813	D₄×C₂₃	—	8	1	no	—
814	D₄×C₂₃	—	8	1	no	—
815	D₄×C₂₃	—	8	1	no	—
816	D₄×C₂₃	—	8	1	no	—
817	D₄×C₂₃	H(5,𝔽₂)	1	2	yes	—
818	C₂×C₄×C₂₃	—	2	4	no	—
819	C₂×C₄×C₂₃	—	2	1	no	—
820	C₂×C₄×C₂₃	—	2	1	no	—
821	C₂×C₄×C₂₃	—	2	1	no	—
822	C₂×C₄×C₂₃	—	2	1	no	—
823	C₂×C₄×C₂₃	—	2	1	no	—
824	C₂×C₄×C₂₃	—	2	1	no	—
825	C₂×C₄×C₂₃	—	2	1	no	—
826	C₂×C₄×C₂₃	—	2	1	no	—
827	C₂×C₄×C₂₃	—	2	1	no	—
828	C₂×C₄×C₂₃	—	2	1	no	—
829	C₂×C₄×C₂₃	—	2	1	no	—
830	C₂×C₄×C₂₃	—	2	1	no	—
831	C₂×C₄×C₂₃	—	2	1	no	—
832	C₂×C₄×C₂₃	—	2	1	no	—
833	C₂×C₄×C₂₃	—	2	1	no	—
834	C₂×C₄×C₂₃	—	2	1	no	—
835	C₂×C₄×C₂₃	—	2	1	no	—
836	C₂×C₄×C₂₃	—	2	1	no	—
837	C₂×C₄×C₂₃	—	2	1	no	—
838	C₂×C₄×C₂₃	—	2	1	no	—
839	C₂×C₄×C₂₃	—	2	1	no	—
840	C₂×C₄×C₂₃	—	4	1	no	—
841	C₂×C₄×C₂₃	—	4	1	no	—
842	C₂×C₄×C₂₃	—	4	1	no	—
843	C₂×C₄×C₂₃	—	4	2	no	—
844	C₂×C₄×C₂₃	—	4	2	no	—
845	C₂×C₄×C₂₃	—	4	2	no	—
846	C₂×C₄×C₂₃	—	4	2	no	—
847	C₂×C₄×C₂₃	—	4	2	no	—
848	C₂×C₄×C₂₃	—	4	2	no	—
849	C₂×C₄×C₂₃	—	4	2	no	—
850	C₂×C₄×C₂₃	—	4	2	no	—
851	C₂×C₄×C₂₃	—	4	2	no	—
852	C₂×C₄×C₂₃	—	4	2	no	—
853	C₂×C₄×C₂₃	—	8	1	no	—
854	C₂×C₄×C₂₃	—	8	1	no	—
855	C₂×C₄×C₂₃	—	8	1	no	—
856	C₂×C₄×C₂₃	—	8	1	no	—
857	C₂×C₄×C₂₃	—	8	1	no	—
858	C₂×C₄×C₂₃	—	8	1	no	—
859	C₂×C₄×C₂₃	—	8	1	no	—
860	C₂×C₄×C₂₃	—	8	1	no	—
861	C₂×C₄×C₂₃	—	8	1	no	—
862	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
866	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
867	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
868	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
869	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
870	C₂×C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
871	C₂×C₄×C₂₃	C₂⁵	1	1	yes	characteristic
872	C₈×C₂₃	—	2	1	no	—
873	C₈×C₂₃	—	2	1	no	—
874	C₈×C₂₃	—	2	1	no	—
875	C₈×C₂₃	—	2	1	no	—
876	C₈×C₂₃	—	2	1	no	—
877	C₈×C₂₃	—	2	1	no	—
878	C₈×C₂₃	—	2	1	no	—
879	C₈×C₂₃	—	2	1	no	—
880	#3542	C₂×C₂₃	1	1	yes	characteristic, complemented
881	#3489	C₂×C₂₃	1	1	yes	characteristic, complemented
882	#3321	C₂×C₂₃	1	1	yes	characteristic, complemented
883	#3312	C₂×C₂₃	1	1	yes	characteristic, complemented
884	#3307	C₂×C₂₃	1	1	yes	characteristic, complemented
885	#3306	C₂×C₂₃	1	1	yes	characteristic, complemented
886	#3303	C₂×C₂₃	1	1	yes	characteristic, complemented
887	#3301	C₂×C₂₃	1	1	yes	characteristic, complemented
888	#3298	C₂×C₂₃	1	1	yes	characteristic, complemented
889	#3296	C₂×C₂₃	1	1	yes	characteristic, complemented
890	#3284	C₂×C₂₃	1	1	yes	characteristic, complemented
891	#3282	C₂×C₂₃	1	1	yes	characteristic, complemented
892	D₄×SD₁₆	C₂×C₂₃	1	1	yes	characteristic, complemented
893	#3280	C₂×C₂₃	1	1	yes	characteristic, complemented
894	#3271	C₂×C₂₃	1	1	yes	characteristic, complemented
895	#3267	C₂×C₂₃	1	1	yes	characteristic, complemented
896	#3266	C₂×C₂₃	1	1	yes	characteristic, complemented
897	#3264	C₂×C₂₃	1	1	yes	characteristic, complemented
898	#3225	C₂×C₂₃	1	1	yes	characteristic, complemented
899	#3221	C₂×C₂₃	1	1	yes	characteristic, complemented
900	#3204	C₂×C₂₃	1	1	yes	characteristic, complemented
901	#3198	C₂×C₂₃	1	1	yes	characteristic, complemented
902	#3190	C₂×C₂₃	1	1	yes	characteristic, complemented
903	#3187	C₂×C₂₃	1	1	yes	characteristic, complemented
904	#3125	C₂×C₂₃	1	1	yes	characteristic, complemented
905	#3119	C₂×C₂₃	1	1	yes	characteristic, complemented
906	#3013	C₂×C₂₃	1	1	yes	characteristic, complemented
907	#3010	C₂×C₂₃	1	1	yes	characteristic, complemented
908	#3002	C₂×C₂₃	1	1	yes	characteristic, complemented
909	C₂×#449	C₂×C₂₃	1	1	yes	characteristic, complemented
910	#2977	C₂×C₂₃	1	1	yes	characteristic, complemented
911	C₂²×C₂₃	—	2	1	no	—
912	C₂²×C₂₃	—	2	1	no	—
913	C₂²×C₂₃	—	2	1	no	—
914	C₂²×C₂₃	—	2	1	no	—
915	C₂²×C₂₃	—	2	1	no	—
916	C₂²×C₂₃	—	2	1	no	—
917	C₂²×C₂₃	—	2	1	no	—
918	C₂²×C₂₃	—	2	2	no	—
919	C₂²×C₂₃	—	2	1	no	—
920	C₂²×C₂₃	—	2	1	no	—
921	C₂²×C₂₃	—	2	1	no	—
922	C₂²×C₂₃	—	2	1	no	—
923	C₂²×C₂₃	—	2	1	no	—
924	C₂²×C₂₃	—	2	1	no	—
925	C₂²×C₂₃	—	2	1	no	—
926	C₂²×C₂₃	—	4	1	no	—
927	C₂²×C₂₃	—	4	1	no	—
928	C₂²×C₂₃	—	4	1	no	—
929	C₂²×C₂₃	—	4	1	no	—
930	C₂²×C₂₃	—	4	1	no	—
931	C₂²×C₂₃	—	4	1	no	—
932	C₂²×C₂₃	—	4	1	no	—
933	C₂²×C₂₃	—	4	1	no	—
934	C₂²×C₂₃	—	4	1	no	—
935	C₂²×C₂₃	—	4	1	no	—
936	C₂²×C₂₃	—	4	1	no	—
937	C₂²×C₂₃	—	4	1	no	—
938	C₂²×C₂₃	—	4	1	no	—
939	C₂²×C₂₃	—	4	1	no	—
940	C₂²×C₂₃	—	8	2	no	—
941	C₂²×C₂₃	—	8	4	no	—
942	C₂²×C₂₃	—	16	2	no	—
943	C₂²×C₂₃	—	16	2	no	—
944	C₂²×C₂₃	#577	1	2	yes	—
945	C₂²×C₂₃	C₂³×D₄	1	1	yes	characteristic
946	C₄×C₂₃	—	2	1	no	—
947	C₄×C₂₃	—	2	1	no	—
948	C₄×C₂₃	—	2	1	no	—
949	C₄×C₂₃	—	2	2	no	—
950	C₄×C₂₃	—	2	1	no	—
951	C₄×C₂₃	—	2	1	no	—
952	C₄×C₂₃	—	2	1	no	—
953	C₄×C₂₃	—	2	1	no	—
954	C₄×C₂₃	—	2	1	no	—
955	C₄×C₂₃	—	2	1	no	—
956	C₄×C₂₃	—	4	1	no	—
957	C₄×C₂₃	—	4	1	no	—
958	C₄×C₂₃	—	4	1	no	—
959	C₄×C₂₃	—	4	1	no	—
960	C₄×C₂₃	—	4	1	no	—
961	C₄×C₂₃	—	4	1	no	—
962	C₄×C₂₃	—	4	1	no	—
963	C₄×C₂₃	—	4	1	no	—
964	C₄×C₂₃	—	4	1	no	—
965	C₄×C₂₃	—	4	1	no	—
966	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
967	C₄×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
968	C₂×2₋¹⁺⁴	C₂²×C₂₃	1	1	yes	characteristic, complemented
969	C₂²×#41	C₂²×C₂₃	1	1	yes	characteristic, complemented
970	C₂×#137	C₂²×C₂₃	1	1	yes	characteristic, complemented
971	C₂×AGL(1,ℤ/8)	C₂²×C₂₃	1	1	yes	characteristic, complemented
972	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
973	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
974	C₂×#135	C₂²×C₂₃	1	1	yes	characteristic, complemented
975	C₂²×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic
976	C₂²×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
977	C₂²×D₈	C₂²×C₂₃	1	1	yes	characteristic
978	#562	—	2	1	no	—
979	#560	—	2	1	no	—
980	#555	C₂²×C₂₃	1	1	yes	characteristic, complemented
981	#553	C₂²×C₂₃	1	1	yes	characteristic, complemented
982	#552	C₂²×C₂₃	1	1	yes	characteristic
983	#551	—	2	1	no	—
984	#550	C₂²×C₂₃	1	1	yes	characteristic, complemented
985	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic
986	D₄×Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
987	#548	C₂²×C₂₃	1	1	yes	characteristic, complemented
988	#548	C₂²×C₂₃	1	1	yes	characteristic, complemented
989	#547	—	2	1	no	—
990	#547	—	2	1	no	—
991	#547	C₂²×C₂₃	1	1	yes	characteristic
992	#547	C₂²×C₂₃	1	1	yes	characteristic, complemented
993	#547	C₂²×C₂₃	1	1	yes	characteristic, complemented
994	#546	—	2	1	no	—
995	#546	—	2	1	no	—
996	#546	—	2	1	no	—
997	#546	C₂²×C₂₃	1	1	yes	characteristic
998	#546	C₂²×C₂₃	1	1	yes	characteristic
999	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1000	#546	C₂²×C₂₃	1	1	yes	characteristic, complemented
1001	D₄²	C₂²×C₂₃	1	1	yes	characteristic
1002	#542	C₂²×C₂₃	1	1	yes	characteristic, complemented
1003	#540	—	2	1	no	—
1004	#540	C₂²×C₂₃	1	1	yes	characteristic, complemented
1005	#538	—	2	1	no	—
1006	#537	—	2	1	no	—
1007	#537	C₂²×C₂₃	1	1	yes	characteristic, complemented
1008	#537	C₂²×C₂₃	1	1	yes	characteristic, complemented
1009	#536	—	2	1	no	—
1010	#536	C₂²×C₂₃	1	1	yes	characteristic, complemented
1011	#535	—	2	1	no	—
1012	#535	C₂²×C₂₃	1	1	yes	characteristic, complemented
1013	#534	—	2	1	no	—
1014	#525	—	2	1	no	—
1015	#525	C₂²×C₂₃	1	1	yes	characteristic
1016	#525	C₂²×C₂₃	1	1	yes	characteristic
1017	C₂×C₂²⋊Q₈	—	2	1	no	—
1018	C₂×C₂²⋊Q₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1019	C₂×#121	C₂²×C₂₃	1	1	yes	characteristic
1020	#520	C₂²×C₂₃	1	1	yes	characteristic, complemented
1021	#497	C₂²×C₂₃	1	1	yes	characteristic, complemented
1022	#496	C₂²×C₂₃	1	1	yes	characteristic, complemented
1023	#495	C₂²×C₂₃	1	1	yes	characteristic, complemented
1024	#492	C₂²×C₂₃	1	1	yes	characteristic, complemented
1025	#491	C₂²×C₂₃	1	1	yes	characteristic, complemented
1026	#489	C₂²×C₂₃	1	1	yes	characteristic, complemented
1027	#488	C₂²×C₂₃	1	1	yes	characteristic, complemented
1028	#487	C₂²×C₂₃	1	1	yes	characteristic, complemented
1029	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1030	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1031	#485	C₂²×C₂₃	1	1	yes	characteristic, complemented
1032	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1033	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1034	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1035	#483	C₂²×C₂₃	1	1	yes	characteristic, complemented
1036	#482	C₂²×C₂₃	1	1	yes	characteristic, complemented
1037	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1038	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1039	#481	C₂²×C₂₃	1	1	yes	characteristic, complemented
1040	#480	C₂²×C₂₃	1	1	yes	characteristic, complemented
1041	#479	C₂²×C₂₃	1	1	yes	characteristic, complemented
1042	#478	C₂²×C₂₃	1	1	yes	characteristic, complemented
1043	#476	C₂²×C₂₃	1	1	yes	characteristic, complemented
1044	#475	C₂²×C₂₃	1	1	yes	characteristic, complemented
1045	#470	C₂²×C₂₃	1	1	yes	characteristic, complemented
1046	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1047	#469	C₂²×C₂₃	1	1	yes	characteristic, complemented
1048	#468	C₂²×C₂₃	1	1	yes	characteristic, complemented
1049	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1050	#467	C₂²×C₂₃	1	1	yes	characteristic, complemented
1051	#466	C₂²×C₂₃	1	1	yes	characteristic, complemented
1052	#465	C₂²×C₂₃	1	1	yes	characteristic
1053	#465	C₂²×C₂₃	1	1	yes	characteristic
1054	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1055	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1056	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1057	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1058	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1059	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1060	#465	C₂²×C₂₃	1	1	yes	characteristic, complemented
1061	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1062	#464	C₂²×C₂₃	1	1	yes	characteristic, complemented
1063	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1064	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1065	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1066	#463	C₂²×C₂₃	1	1	yes	characteristic, complemented
1067	#462	C₂²×C₂₃	1	1	yes	characteristic, complemented
1068	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
1069	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
1070	#461	C₂²×C₂₃	1	1	yes	characteristic, complemented
1071	#460	C₂²×C₂₃	1	1	yes	characteristic, complemented
1072	#459	C₂²×C₂₃	1	1	yes	characteristic, complemented
1073	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1074	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1075	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1076	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1077	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1078	#452	C₂²×C₂₃	1	1	yes	characteristic, complemented
1079	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1080	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1081	#451	C₂²×C₂₃	1	1	yes	characteristic, complemented
1082	#450	C₂²×C₂₃	1	1	yes	characteristic
1083	#450	C₂²×C₂₃	1	1	yes	characteristic
1084	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1085	#450	C₂²×C₂₃	1	1	yes	characteristic, complemented
1086	#449	C₂²×C₂₃	1	1	yes	characteristic
1087	#449	C₂²×C₂₃	1	1	yes	characteristic
1088	#449	C₂²×C₂₃	1	1	yes	characteristic
1089	#449	C₂²×C₂₃	1	1	yes	characteristic
1090	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1091	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1092	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1093	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1094	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1095	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1096	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1097	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1098	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1099	#449	C₂²×C₂₃	1	1	yes	characteristic, complemented
1100	#448	C₂²×C₂₃	1	1	yes	characteristic
1101	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1102	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1103	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1104	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1105	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1106	#448	C₂²×C₂₃	1	1	yes	characteristic, complemented
1107	#447	C₂²×C₂₃	1	1	yes	characteristic
1108	#447	C₂²×C₂₃	1	1	yes	characteristic, complemented
1109	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1110	#442	C₂²×C₂₃	1	1	yes	characteristic, complemented
1111	#441	C₂²×C₂₃	1	1	yes	characteristic, complemented
1112	#440	C₂²×C₂₃	1	1	yes	characteristic, complemented
1113	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1114	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1115	C₄×SD₁₆	C₂²×C₂₃	1	1	yes	characteristic, complemented
1116	C₄×D₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1117	#435	C₂²×C₂₃	1	1	yes	characteristic
1118	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1119	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1120	#435	C₂²×C₂₃	1	1	yes	characteristic, complemented
1121	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic
1122	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1123	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1124	C₈×D₄	C₂²×C₂₃	1	1	yes	characteristic, complemented
1125	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
1126	#433	C₂²×C₂₃	1	1	yes	characteristic, complemented
1127	#419	C₂²×C₂₃	1	1	yes	characteristic, complemented
1128	#417	C₂²×C₂₃	1	1	yes	characteristic, complemented
1129	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1130	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1131	#416	C₂²×C₂₃	1	1	yes	characteristic, complemented
1132	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1133	C₂×#103	C₂²×C₂₃	1	1	yes	characteristic, complemented
1134	C₂×#102	C₂²×C₂₃	1	1	yes	characteristic, complemented
1135	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1136	#408	C₂²×C₂₃	1	1	yes	characteristic, complemented
1137	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1138	C₂×C₂²⋊C₈	C₂²×C₂₃	1	1	yes	characteristic, complemented
1139	C₂×C₂₃	—	2	2	no	—
1140	C₂×C₂₃	—	4	1	no	—
1141	C₂×C₂₃	—	4	1	no	—
1142	C₂×C₂₃	—	4	1	no	—
1143	C₂×C₂₃	—	4	1	no	—
1144	C₂×C₂₃	—	4	2	no	—
1145	C₂×C₂₃	—	8	1	no	—
1146	C₂×C₂₃	—	8	1	no	—
1147	C₂×C₂₃	—	8	1	no	—
1148	C₂×C₂₃	—	8	1	no	—
1149	C₂×C₂₃	#3484	1	1	yes	characteristic
1150	C₂×C₂₃	C₂×#577	1	1	yes	characteristic
1151	C₂×C₂₃	#3584	1	1	yes	characteristic
1152	2₋¹⁺⁴	—	4	2	no	—
1153	2₋¹⁺⁴	—	4	2	no	—
1154	C₂×#41	—	2	1	no	—
1155	C₂×#41	—	2	1	no	—
1156	C₂×#41	—	2	1	no	—
1157	C₂×#41	—	2	1	no	—
1158	C₂×#41	—	2	1	no	—
1159	C₂×#41	—	2	1	no	—
1160	C₂×#41	—	4	2	no	—
1161	C₂×#41	—	4	2	no	—
1162	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1163	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1164	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1165	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1166	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1167	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1168	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1169	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1170	C₂×#41	C₂³×C₂₃	1	1	yes	characteristic
1171	C₂²×Q₈	—	2	1	no	—
1172	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1173	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1174	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1175	C₂²×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1176	C₂²×D₄	—	2	1	no	—
1177	C₂²×D₄	—	2	1	no	—
1178	C₂²×D₄	—	2	1	no	—
1179	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1180	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1181	C₂²×D₄	C₂³×C₂₃	1	1	yes	characteristic
1182	C₂³×C₄	—	2	1	no	—
1183	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
1184	#137	—	4	2	no	—
1185	AGL(1,ℤ/8)	—	4	2	no	—
1186	#135	—	4	2	no	—
1187	#135	—	4	2	no	—
1188	#135	—	4	2	no	—
1189	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1190	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1191	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1192	C₂×Q₁₆	C₂³×C₂₃	1	1	yes	characteristic
1193	C₂×SD₁₆	—	4	2	no	—
1194	C₂×SD₁₆	—	4	2	no	—
1195	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1201	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1202	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1203	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1204	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1205	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1206	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1207	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂³×C₂₃	1	1	yes	characteristic
1209	C₂×D₈	—	4	2	no	—
1210	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1211	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1212	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1213	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1214	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1215	C₂×D₈	C₂³×C₂₃	1	1	yes	characteristic
1216	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1217	C₂×M₁₆	C₂³×C₂₃	1	1	yes	characteristic
1218	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1219	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1220	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1221	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1222	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1223	C₂²×C₈	C₂³×C₂₃	1	1	yes	characteristic
1224	C₄⋊Q₈	—	2	1	no	—
1225	C₄⋊Q₈	—	2	1	no	—
1226	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1227	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1228	C₄⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1229	#127	—	2	1	no	—
1230	#127	—	2	1	no	—
1231	#127	C₂³×C₂₃	1	1	yes	characteristic
1232	#126	—	2	1	no	—
1233	#126	—	2	1	no	—
1234	#126	—	2	1	no	—
1235	#125	—	2	1	no	—
1236	#125	C₂³×C₂₃	1	1	yes	characteristic
1237	#124	—	2	1	no	—
1238	#124	—	2	1	no	—
1239	#124	—	2	1	no	—
1240	#124	—	2	1	no	—
1241	#124	—	2	1	no	—
1242	#124	—	2	1	no	—
1243	#124	C₂³×C₂₃	1	1	yes	characteristic
1244	#124	C₂³×C₂₃	1	1	yes	characteristic
1245	#124	C₂³×C₂₃	1	1	yes	characteristic
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	2	1	no	—
1253	#123	—	2	1	no	—
1254	#123	—	2	1	no	—
1255	#123	—	2	1	no	—
1256	#123	—	2	1	no	—
1257	#123	—	2	1	no	—
1258	#123	—	2	1	no	—
1259	#123	—	2	1	no	—
1260	#123	—	2	1	no	—
1261	#123	—	2	1	no	—
1262	#123	—	2	1	no	—
1263	#123	—	2	1	no	—
1264	#123	D₄×C₂₃	1	1	yes	characteristic
1265	#123	D₄×C₂₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	—	2	1	no	—
1267	C₂²⋊Q₈	—	2	1	no	—
1268	C₂²⋊Q₈	—	2	1	no	—
1269	C₂²⋊Q₈	—	2	1	no	—
1270	C₂²⋊Q₈	—	2	1	no	—
1271	C₂²⋊Q₈	—	2	1	no	—
1272	C₂²⋊Q₈	—	2	1	no	—
1273	C₂²⋊Q₈	—	2	1	no	—
1274	C₂²⋊Q₈	—	2	1	no	—
1275	C₂²⋊Q₈	—	2	1	no	—
1276	C₂²⋊Q₈	—	2	1	no	—
1277	C₂²⋊Q₈	—	2	1	no	—
1278	C₂²⋊Q₈	—	2	1	no	—
1279	C₂²⋊Q₈	—	2	1	no	—
1280	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
1281	C₂²⋊Q₈	D₄×C₂₃	1	1	yes	characteristic
1282	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1283	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1287	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1288	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1289	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1290	C₂²⋊Q₈	C₂³×C₂₃	1	1	yes	characteristic
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	2	1	no	—
1314	#121	D₄×C₂₃	1	1	yes	characteristic
1315	#121	D₄×C₂₃	1	1	yes	characteristic
1316	#121	C₂³×C₂₃	1	1	yes	characteristic
1317	#121	C₂³×C₂₃	1	1	yes	characteristic
1318	#121	C₂³×C₂₃	1	1	yes	characteristic
1319	#121	C₂³×C₂₃	1	1	yes	characteristic
1320	#121	C₂³×C₂₃	1	1	yes	characteristic
1321	#121	C₂³×C₂₃	1	1	yes	characteristic
1322	#121	C₂³×C₂₃	1	1	yes	characteristic
1323	#121	C₂³×C₂₃	1	1	yes	characteristic
1324	#121	C₂³×C₂₃	1	1	yes	characteristic
1325	#121	C₂³×C₂₃	1	1	yes	characteristic
1326	#121	C₂³×C₂₃	1	1	yes	characteristic
1327	#120	—	2	1	no	—
1328	#120	—	2	1	no	—
1329	#120	—	2	1	no	—
1330	#120	—	2	1	no	—
1331	#120	—	2	1	no	—
1332	#120	—	2	1	no	—
1333	#120	—	2	1	no	—
1334	#120	—	2	1	no	—
1335	#120	—	2	1	no	—
1336	#120	D₄×C₂₃	1	1	yes	characteristic
1337	#120	D₄×C₂₃	1	1	yes	characteristic
1338	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1339	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1340	C₄×Q₈	C₂³×C₂₃	1	1	yes	characteristic
1341	C₄×D₄	—	2	1	no	—
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	—	2	1	no	—
1346	C₄×D₄	—	2	1	no	—
1347	C₄×D₄	—	2	1	no	—
1348	C₄×D₄	—	2	1	no	—
1349	C₄×D₄	—	2	1	no	—
1350	C₄×D₄	—	2	1	no	—
1351	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1352	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1353	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1354	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1355	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1356	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1357	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1358	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1359	C₄×D₄	C₂³×C₂₃	1	1	yes	characteristic
1360	#117	—	2	1	no	—
1361	#117	—	2	1	no	—
1362	#117	—	2	1	no	—
1363	#117	C₂³×C₂₃	1	1	yes	characteristic
1364	#117	C₂³×C₂₃	1	1	yes	characteristic
1365	#117	C₂³×C₂₃	1	1	yes	characteristic
1366	C₂×C₄⋊C₄	—	2	1	no	—
1367	C₂×C₄⋊C₄	—	2	1	no	—
1368	C₂×C₄⋊C₄	—	2	1	no	—
1369	C₂×C₄⋊C₄	—	2	1	no	—
1370	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1371	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1372	C₂×C₄⋊C₄	C₂³×C₂₃	1	1	yes	characteristic
1373	C₂×C₂²⋊C₄	—	2	1	no	—
1374	C₂×C₂²⋊C₄	—	2	1	no	—
1375	C₂×C₂²⋊C₄	—	2	1	no	—
1376	C₂×C₂²⋊C₄	—	2	1	no	—
1377	C₂×C₂²⋊C₄	—	2	1	no	—
1378	C₂×C₂²⋊C₄	—	2	1	no	—
1379	#107	C₂³×C₂₃	1	1	yes	characteristic
1380	#107	C₂³×C₂₃	1	1	yes	characteristic
1381	#106	C₂³×C₂₃	1	1	yes	characteristic
1382	#106	C₂³×C₂₃	1	1	yes	characteristic
1383	#106	C₂³×C₂₃	1	1	yes	characteristic
1384	#106	C₂³×C₂₃	1	1	yes	characteristic
1385	#106	C₂³×C₂₃	1	1	yes	characteristic
1386	#106	C₂³×C₂₃	1	1	yes	characteristic
1387	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1388	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1389	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1390	C₄⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1391	#103	C₂³×C₂₃	1	1	yes	characteristic
1392	#103	C₂³×C₂₃	1	1	yes	characteristic
1393	#103	C₂³×C₂₃	1	1	yes	characteristic
1394	#103	C₂³×C₂₃	1	1	yes	characteristic
1395	#103	C₂³×C₂₃	1	1	yes	characteristic
1396	#103	C₂³×C₂₃	1	1	yes	characteristic
1397	#103	C₂³×C₂₃	1	1	yes	characteristic
1398	#103	C₂³×C₂₃	1	1	yes	characteristic
1399	#103	C₂³×C₂₃	1	1	yes	characteristic
1400	#103	C₂³×C₂₃	1	1	yes	characteristic
1401	#103	C₂³×C₂₃	1	1	yes	characteristic
1402	#103	C₂³×C₂₃	1	1	yes	characteristic
1403	#103	C₂³×C₂₃	1	1	yes	characteristic
1404	#103	C₂³×C₂₃	1	1	yes	characteristic
1405	#103	C₂³×C₂₃	1	1	yes	characteristic
1406	#103	C₂³×C₂₃	1	1	yes	characteristic
1407	#103	C₂³×C₂₃	1	1	yes	characteristic
1408	#103	C₂³×C₂₃	1	1	yes	characteristic
1409	#102	C₂³×C₂₃	1	1	yes	characteristic
1410	#102	C₂³×C₂₃	1	1	yes	characteristic
1411	#102	C₂³×C₂₃	1	1	yes	characteristic
1412	#102	C₂³×C₂₃	1	1	yes	characteristic
1413	#102	C₂³×C₂₃	1	1	yes	characteristic
1414	#102	C₂³×C₂₃	1	1	yes	characteristic
1415	#102	C₂³×C₂₃	1	1	yes	characteristic
1416	#102	C₂³×C₂₃	1	1	yes	characteristic
1417	#102	C₂³×C₂₃	1	1	yes	characteristic
1418	#102	C₂³×C₂₃	1	1	yes	characteristic
1419	#102	C₂³×C₂₃	1	1	yes	characteristic
1420	#102	C₂³×C₂₃	1	1	yes	characteristic
1421	#102	C₂³×C₂₃	1	1	yes	characteristic
1422	#102	C₂³×C₂₃	1	1	yes	characteristic
1423	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1424	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1425	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1426	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1427	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1428	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1429	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1430	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1431	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1432	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1433	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1434	C₂²⋊C₈	C₂³×C₂₃	1	1	yes	characteristic
1435	#97	C₂³×C₂₃	1	1	yes	characteristic
1436	#97	C₂³×C₂₃	1	1	yes	characteristic
1437	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1438	C₄×C₈	C₂³×C₂₃	1	1	yes	characteristic
1439	C₂₃	#61641	1	1	yes	characteristic, direct product factor, Sylow
1440	C₂⁴	—	2	1	no	—
1441	C₂⁴	—	2	1	no	—
1442	C₂⁴	—	2	1	no	—
1443	C₂⁴	C₂×D₄×C₂₃	1	1	yes	characteristic
1444	#41	—	2	2	no	—
1445	#41	—	2	2	no	—
1446	#41	—	2	2	no	—
1447	#41	—	2	2	no	—
1448	#41	—	2	2	no	—
1449	#41	—	2	2	no	—
1450	#41	—	4	1	no	—
1451	#41	—	4	1	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	1	no	—
1454	#41	—	4	1	no	—
1455	#41	—	4	1	no	—
1456	#41	—	4	1	no	—
1457	#41	—	4	1	no	—
1458	#41	—	4	4	no	—
1459	#41	—	4	4	no	—
1460	#41	—	4	1	no	—
1461	#41	—	4	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	4	no	—
1465	#41	—	4	4	no	—
1466	#41	—	4	4	no	—
1467	#41	—	8	2	no	—
1468	C₂×Q₈	—	2	1	no	—
1469	C₂×Q₈	—	2	1	no	—
1470	C₂×Q₈	—	2	1	no	—
1471	C₂×Q₈	—	2	1	no	—
1472	C₂×Q₈	—	2	1	no	—
1473	C₂×Q₈	—	2	2	no	—
1474	C₂×Q₈	—	2	2	no	—
1475	C₂×Q₈	—	2	2	no	—
1476	C₂×Q₈	—	4	1	no	—
1477	C₂×Q₈	—	4	1	no	—
1478	C₂×Q₈	—	4	1	no	—
1479	C₂×Q₈	—	4	1	no	—
1480	C₂×Q₈	—	4	1	no	—
1481	C₂×Q₈	—	4	4	no	—
1482	C₂×Q₈	C₂×D₄×C₂₃	1	1	yes	characteristic
1483	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1484	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1485	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1486	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1487	C₂×Q₈	C₂⁴×C₂₃	1	1	yes	characteristic
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	2	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	4	1	no	—
1514	C₂×D₄	—	4	1	no	—
1515	C₂×D₄	—	4	1	no	—
1516	C₂×D₄	—	4	1	no	—
1517	C₂×D₄	—	4	1	no	—
1518	C₂×D₄	—	4	4	no	—
1519	C₂×D₄	—	8	2	no	—
1520	C₂×D₄	—	8	2	no	—
1521	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1522	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1523	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1524	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1525	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1526	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1527	C₂×D₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1528	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1529	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1530	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1531	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1532	C₂×D₄	C₂⁴×C₂₃	1	1	yes	characteristic
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	2	1	no	—
1541	C₂²×C₄	—	2	1	no	—
1542	C₂²×C₄	—	2	1	no	—
1543	C₂²×C₄	—	2	1	no	—
1544	C₂²×C₄	—	2	1	no	—
1545	C₂²×C₄	—	2	1	no	—
1546	C₂²×C₄	—	2	1	no	—
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	4	1	no	—
1554	C₂²×C₄	—	4	1	no	—
1555	C₂²×C₄	—	4	4	no	—
1556	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1557	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1558	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1559	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1560	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1561	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1562	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1563	C₂²×C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1564	Q₁₆	—	2	2	no	—
1565	Q₁₆	—	4	1	no	—
1566	Q₁₆	—	4	1	no	—
1567	Q₁₆	—	4	1	no	—
1568	SD₁₆	—	2	2	no	—
1569	SD₁₆	—	2	2	no	—
1570	SD₁₆	—	2	2	no	—
1571	SD₁₆	—	2	2	no	—
1572	SD₁₆	—	4	1	no	—
1573	SD₁₆	—	4	1	no	—
1574	SD₁₆	—	4	1	no	—
1575	SD₁₆	—	4	1	no	—
1576	SD₁₆	—	4	1	no	—
1577	SD₁₆	—	4	1	no	—
1578	SD₁₆	—	4	1	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	4	1	no	—
1582	D₈	—	2	2	no	—
1583	D₈	—	2	2	no	—
1584	D₈	—	2	2	no	—
1585	D₈	—	4	1	no	—
1586	D₈	—	4	1	no	—
1587	D₈	—	4	1	no	—
1588	M₁₆	—	4	1	no	—
1589	M₁₆	—	4	1	no	—
1590	C₂×C₈	—	4	1	no	—
1591	C₂×C₈	—	4	1	no	—
1592	C₂×C₈	—	4	1	no	—
1593	C₂×C₈	—	4	1	no	—
1594	C₂×C₈	—	4	1	no	—
1595	C₂×C₈	—	4	1	no	—
1596	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1597	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1598	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1599	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1600	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1601	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1602	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1603	C₂×C₈	C₂⁴×C₂₃	1	1	yes	characteristic
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	2	1	no	—
1624	C₄⋊C₄	—	2	1	no	—
1625	C₄⋊C₄	—	2	1	no	—
1626	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1627	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1628	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1629	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1630	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1631	C₄⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1632	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1633	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1634	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1635	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1637	C₄⋊C₄	C₂⁴×C₂₃	1	1	yes	characteristic
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1672	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1673	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1674	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1675	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1676	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1677	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1678	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1679	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1680	C₂²⋊C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
1681	C₄²	—	2	1	no	—
1682	C₄²	—	2	1	no	—
1683	C₄²	—	2	1	no	—
1684	C₄²	—	2	1	no	—
1685	C₄²	—	2	1	no	—
1686	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1687	C₄²	C₂⁴×C₂₃	1	1	yes	characteristic
1688	C₂³	—	2	1	no	—
1689	C₂³	—	2	2	no	—
1690	C₂³	—	2	1	no	—
1691	C₂³	—	2	1	no	—
1692	C₂³	—	2	1	no	—
1693	C₂³	—	2	1	no	—
1694	C₂³	—	4	1	no	—
1695	C₂³	—	4	1	no	—
1696	C₂³	—	4	2	no	—
1697	C₂³	—	4	2	no	—
1698	C₂³	—	4	2	no	—
1699	C₂³	—	8	1	no	—
1700	C₂³	—	8	1	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	8	1	no	—
1703	C₂³	—	8	1	no	—
1704	C₂³	—	8	1	no	—
1705	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1706	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1707	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1708	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1709	C₂³	C₂²×D₄×C₂₃	1	1	yes	characteristic
1710	Q₈	—	2	1	no	—
1711	Q₈	—	2	1	no	—
1712	Q₈	—	2	1	no	—
1713	Q₈	—	2	1	no	—
1714	Q₈	—	2	1	no	—
1715	Q₈	—	2	1	no	—
1716	Q₈	—	2	1	no	—
1717	Q₈	—	2	1	no	—
1718	Q₈	—	2	1	no	—
1719	Q₈	—	4	1	no	—
1720	Q₈	—	4	2	no	—
1721	Q₈	—	4	2	no	—
1722	Q₈	—	4	2	no	—
1723	Q₈	—	4	2	no	—
1724	Q₈	—	8	1	no	—
1725	Q₈	C₂₃×H(5,𝔽₂)	1	2	yes	—
1726	D₄	—	2	4	no	—
1727	D₄	—	2	2	no	—
1728	D₄	—	2	2	no	—
1729	D₄	—	2	1	no	—
1730	D₄	—	2	1	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	2	1	no	—
1737	D₄	—	2	1	no	—
1738	D₄	—	4	1	no	—
1739	D₄	—	4	1	no	—
1740	D₄	—	4	1	no	—
1741	D₄	—	4	1	no	—
1742	D₄	—	4	1	no	—
1743	D₄	—	4	2	no	—
1744	D₄	—	4	2	no	—
1745	D₄	—	4	2	no	—
1746	D₄	—	4	2	no	—
1747	D₄	—	4	2	no	—
1748	D₄	—	4	2	no	—
1749	D₄	—	4	2	no	—
1750	D₄	—	8	1	no	—
1751	D₄	—	8	1	no	—
1752	D₄	—	8	1	no	—
1753	D₄	—	8	1	no	—
1754	D₄	—	8	1	no	—
1755	D₄	—	8	1	no	—
1756	D₄	—	8	1	no	—
1757	D₄	—	8	1	no	—
1758	D₄	—	8	1	no	—
1759	D₄	—	8	1	no	—
1760	D₄	—	8	1	no	—
1761	D₄	—	8	1	no	—
1762	D₄	—	8	1	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	8	1	no	—
1766	D₄	C₂₃×H(5,𝔽₂)	1	2	yes	—
1767	C₂×C₄	—	2	4	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	2	1	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	4	1	no	—
1790	C₂×C₄	—	4	1	no	—
1791	C₂×C₄	—	4	1	no	—
1792	C₂×C₄	—	4	2	no	—
1793	C₂×C₄	—	4	2	no	—
1794	C₂×C₄	—	4	2	no	—
1795	C₂×C₄	—	4	2	no	—
1796	C₂×C₄	—	4	2	no	—
1797	C₂×C₄	—	4	2	no	—
1798	C₂×C₄	—	4	2	no	—
1799	C₂×C₄	—	4	2	no	—
1800	C₂×C₄	—	4	2	no	—
1801	C₂×C₄	—	4	2	no	—
1802	C₂×C₄	—	8	1	no	—
1803	C₂×C₄	—	8	1	no	—
1804	C₂×C₄	—	8	1	no	—
1805	C₂×C₄	—	8	1	no	—
1806	C₂×C₄	—	8	1	no	—
1807	C₂×C₄	—	8	1	no	—
1808	C₂×C₄	—	8	1	no	—
1809	C₂×C₄	—	8	1	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1812	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1813	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1814	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1815	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1816	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1817	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1818	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1819	C₂×C₄	C₂²×D₄×C₂₃	1	1	yes	characteristic
1820	C₂×C₄	C₂⁵×C₂₃	1	1	yes	characteristic
1821	C₈	—	2	1	no	—
1822	C₈	—	2	1	no	—
1823	C₈	—	2	1	no	—
1824	C₈	—	2	1	no	—
1825	C₈	—	2	1	no	—
1826	C₈	—	2	1	no	—
1827	C₈	—	2	1	no	—
1828	C₈	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	2	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	2	1	no	—
1840	C₂²	—	2	1	no	—
1841	C₂²	—	2	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	8	2	no	—
1859	C₂²	—	8	4	no	—
1860	C₂²	—	16	2	no	—
1861	C₂²	—	16	2	no	—
1862	C₂²	C₂₃×#577	1	2	yes	—
1863	C₂²	C₂³×D₄×C₂₃	1	1	yes	characteristic
1864	C₄	—	2	1	no	—
1865	C₄	—	2	2	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	2	1	no	—
1871	C₄	—	2	1	no	—
1872	C₄	—	2	1	no	—
1873	C₄	—	2	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	4	1	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1885	C₄	C₂×C₂₃×H(5,𝔽₂)	1	1	yes	characteristic
1886	C₂	—	2	2	no	—
1887	C₂	—	4	1	no	—
1888	C₂	—	4	1	no	—
1889	C₂	—	4	1	no	—
1890	C₂	—	4	1	no	—
1891	C₂	—	4	2	no	—
1892	C₂	—	8	1	no	—
1893	C₂	—	8	1	no	—
1894	C₂	—	8	1	no	—
1895	C₂	—	8	1	no	—
1896	C₂	C₂₃×#3484	1	1	yes	characteristic
1897	C₂	C₂×C₂₃×#577	1	1	yes	characteristic
1898	C₂	C₂₃×#3584	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×#3489	C₂	semidirect
3. C₂₃×#3321	C₂	semidirect
4. C₂₃×#3312	C₂	semidirect
5. C₂₃×#3307	C₂	semidirect
6. C₂₃×#3306	C₂	semidirect
7. C₂₃×#3303	C₂	semidirect
8. C₂₃×#3301	C₂	semidirect
9. C₂₃×#3298	C₂	semidirect
10. C₂₃×#3296	C₂	semidirect
11. C₂₃×#3284	C₂	semidirect
12. C₂₃×#3282	C₂	semidirect
13. D₄×SD₁₆×C₂₃	C₂	semidirect
14. C₂₃×#3280	C₂	semidirect
15. C₂₃×#3271	C₂	semidirect
16. C₂₃×#3267	C₂	semidirect
17. C₂₃×#3266	C₂	semidirect
18. C₂₃×#3264	C₂	semidirect
19. C₂₃×#3225	C₂	semidirect
20. C₂₃×#3221	C₂	semidirect
21. C₂₃×#3204	C₂	semidirect
22. C₂₃×#3198	C₂	semidirect
23. C₂₃×#3190	C₂	semidirect
24. C₂₃×#3187	C₂	semidirect
25. C₂₃×#3125	C₂	semidirect
26. C₂₃×#3119	C₂	semidirect
27. C₂₃×#3013	C₂	semidirect
28. C₂₃×#3010	C₂	semidirect
29. C₂₃×#3002	C₂	semidirect
30. C₂×C₂₃×#449	C₂	semidirect
31. C₂₃×#2977	C₂	semidirect
32. C₂×C₂₃×2₋¹⁺⁴	C₂²	semidirect
33. C₂²×#41×C₂₃	C₂²	semidirect
34. C₂×C₂₃×#137	C₂²	semidirect
35. C₂×C₂₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₂₃×#135	C₂²	semidirect
37. C₂×C₂₃×#135	C₂²	semidirect
38. C₂×C₂₃×#135	C₂²	semidirect
40. C₂²×SD₁₆×C₂₃	C₂²	semidirect
44. C₂₃×#555	C₂²	semidirect
45. C₂₃×#553	C₂²	semidirect
48. C₂₃×#550	C₂²	semidirect
50. D₄×Q₈×C₂₃	C₂²	semidirect
51. C₂₃×#548	C₂²	semidirect
52. C₂₃×#548	C₂²	semidirect
56. C₂₃×#547	C₂²	semidirect
57. C₂₃×#547	C₂²	semidirect
63. C₂₃×#546	C₂²	semidirect
64. C₂₃×#546	C₂²	semidirect
66. C₂₃×#542	C₂²	semidirect
68. C₂₃×#540	C₂²	semidirect
71. C₂₃×#537	C₂²	semidirect
72. C₂₃×#537	C₂²	semidirect
74. C₂₃×#536	C₂²	semidirect
76. C₂₃×#535	C₂²	semidirect
82. C₂×C₂₃×C₂²⋊Q₈	C₂²	semidirect
84. C₂₃×#520	C₂²	semidirect
85. C₂₃×#497	C₂²	semidirect
86. C₂₃×#496	C₂²	semidirect
87. C₂₃×#495	C₂²	semidirect
88. C₂₃×#492	C₂²	semidirect
89. C₂₃×#491	C₂²	semidirect
90. C₂₃×#489	C₂²	semidirect
91. C₂₃×#488	C₂²	semidirect
92. C₂₃×#487	C₂²	semidirect
93. C₂₃×#485	C₂²	semidirect
94. C₂₃×#485	C₂²	semidirect
95. C₂₃×#485	C₂²	semidirect
96. C₂₃×#483	C₂²	semidirect
97. C₂₃×#483	C₂²	semidirect
98. C₂₃×#483	C₂²	semidirect
99. C₂₃×#483	C₂²	semidirect
100. C₂₃×#482	C₂²	semidirect
101. C₂₃×#481	C₂²	semidirect
102. C₂₃×#481	C₂²	semidirect
103. C₂₃×#481	C₂²	semidirect
104. C₂₃×#480	C₂²	semidirect
105. C₂₃×#479	C₂²	semidirect
106. C₂₃×#478	C₂²	semidirect
107. C₂₃×#476	C₂²	semidirect
108. C₂₃×#475	C₂²	semidirect
109. C₂₃×#470	C₂²	semidirect
110. C₂₃×#469	C₂²	semidirect
111. C₂₃×#469	C₂²	semidirect
112. C₂₃×#468	C₂²	semidirect
113. C₂₃×#467	C₂²	semidirect
114. C₂₃×#467	C₂²	semidirect
115. C₂₃×#466	C₂²	semidirect
118. C₂₃×#465	C₂²	semidirect
119. C₂₃×#465	C₂²	semidirect
120. C₂₃×#465	C₂²	semidirect
121. C₂₃×#465	C₂²	semidirect
122. C₂₃×#465	C₂²	semidirect
123. C₂₃×#465	C₂²	semidirect
124. C₂₃×#465	C₂²	semidirect
125. C₂₃×#464	C₂²	semidirect
126. C₂₃×#464	C₂²	semidirect
127. C₂₃×#463	C₂²	semidirect
128. C₂₃×#463	C₂²	semidirect
129. C₂₃×#463	C₂²	semidirect
130. C₂₃×#463	C₂²	semidirect
131. C₂₃×#462	C₂²	semidirect
132. C₂₃×#461	C₂²	semidirect
133. C₂₃×#461	C₂²	semidirect
134. C₂₃×#461	C₂²	semidirect
135. C₂₃×#460	C₂²	semidirect
136. C₂₃×#459	C₂²	semidirect
137. C₂₃×#452	C₂²	semidirect
138. C₂₃×#452	C₂²	semidirect
139. C₂₃×#452	C₂²	semidirect
140. C₂₃×#452	C₂²	semidirect
141. C₂₃×#452	C₂²	semidirect
142. C₂₃×#452	C₂²	semidirect
143. C₂₃×#451	C₂²	semidirect
144. C₂₃×#451	C₂²	semidirect
145. C₂₃×#451	C₂²	semidirect
148. C₂₃×#450	C₂²	semidirect
149. C₂₃×#450	C₂²	semidirect
154. C₂₃×#449	C₂²	semidirect
155. C₂₃×#449	C₂²	semidirect
156. C₂₃×#449	C₂²	semidirect
157. C₂₃×#449	C₂²	semidirect
158. C₂₃×#449	C₂²	semidirect
159. C₂₃×#449	C₂²	semidirect
160. C₂₃×#449	C₂²	semidirect
161. C₂₃×#449	C₂²	semidirect
162. C₂₃×#449	C₂²	semidirect
163. C₂₃×#449	C₂²	semidirect
165. C₂₃×#448	C₂²	semidirect
166. C₂₃×#448	C₂²	semidirect
167. C₂₃×#448	C₂²	semidirect
168. C₂₃×#448	C₂²	semidirect
169. C₂₃×#448	C₂²	semidirect
170. C₂₃×#448	C₂²	semidirect
172. C₂₃×#447	C₂²	semidirect
173. C₂₃×#442	C₂²	semidirect
174. C₂₃×#442	C₂²	semidirect
175. C₂₃×#441	C₂²	semidirect
176. C₂₃×#440	C₂²	semidirect
177. C₄×SD₁₆×C₂₃	C₂²	semidirect
178. C₄×SD₁₆×C₂₃	C₂²	semidirect
179. C₄×SD₁₆×C₂₃	C₂²	semidirect
180. C₄×D₈×C₂₃	C₂²	semidirect
182. C₂₃×#435	C₂²	semidirect
183. C₂₃×#435	C₂²	semidirect
184. C₂₃×#435	C₂²	semidirect
186. C₈×D₄×C₂₃	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×#419	C₂²	semidirect
192. C₂₃×#417	C₂²	semidirect
193. C₂₃×#416	C₂²	semidirect
194. C₂₃×#416	C₂²	semidirect
195. C₂₃×#416	C₂²	semidirect
196. C₂×C₂₃×#103	C₂²	semidirect
197. C₂×C₂₃×#103	C₂²	semidirect
198. C₂×C₂₃×#102	C₂²	semidirect
199. C₂₃×#408	C₂²	semidirect
200. C₂₃×#408	C₂²	semidirect
201. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₂₃×C₂²⋊C₈	C₂²	semidirect
738. #61641	C₂₃	direct (N × H)
880. #3542	C₂×C₂₃	semidirect
881. #3489	C₂×C₂₃	semidirect
882. #3321	C₂×C₂₃	semidirect
883. #3312	C₂×C₂₃	semidirect
884. #3307	C₂×C₂₃	semidirect
885. #3306	C₂×C₂₃	semidirect
886. #3303	C₂×C₂₃	semidirect
887. #3301	C₂×C₂₃	semidirect
888. #3298	C₂×C₂₃	semidirect
889. #3296	C₂×C₂₃	semidirect
890. #3284	C₂×C₂₃	semidirect
891. #3282	C₂×C₂₃	semidirect
892. D₄×SD₁₆	C₂×C₂₃	semidirect
893. #3280	C₂×C₂₃	semidirect
894. #3271	C₂×C₂₃	semidirect
895. #3267	C₂×C₂₃	semidirect
896. #3266	C₂×C₂₃	semidirect
897. #3264	C₂×C₂₃	semidirect
898. #3225	C₂×C₂₃	semidirect
899. #3221	C₂×C₂₃	semidirect
900. #3204	C₂×C₂₃	semidirect
901. #3198	C₂×C₂₃	semidirect
902. #3190	C₂×C₂₃	semidirect
903. #3187	C₂×C₂₃	semidirect
904. #3125	C₂×C₂₃	semidirect
905. #3119	C₂×C₂₃	semidirect
906. #3013	C₂×C₂₃	semidirect
907. #3010	C₂×C₂₃	semidirect
908. #3002	C₂×C₂₃	semidirect
909. C₂×#449	C₂×C₂₃	semidirect
910. #2977	C₂×C₂₃	semidirect
968. C₂×2₋¹⁺⁴	C₂²×C₂₃	semidirect
969. C₂²×#41	C₂²×C₂₃	semidirect
970. C₂×#137	C₂²×C₂₃	semidirect
971. C₂×AGL(1,ℤ/8)	C₂²×C₂₃	semidirect
972. C₂×#135	C₂²×C₂₃	semidirect
973. C₂×#135	C₂²×C₂₃	semidirect
974. C₂×#135	C₂²×C₂₃	semidirect
976. C₂²×SD₁₆	C₂²×C₂₃	semidirect
980. #555	C₂²×C₂₃	semidirect
981. #553	C₂²×C₂₃	semidirect
984. #550	C₂²×C₂₃	semidirect
986. D₄×Q₈	C₂²×C₂₃	semidirect
987. #548	C₂²×C₂₃	semidirect
988. #548	C₂²×C₂₃	semidirect
992. #547	C₂²×C₂₃	semidirect
993. #547	C₂²×C₂₃	semidirect
999. #546	C₂²×C₂₃	semidirect
1000. #546	C₂²×C₂₃	semidirect
1002. #542	C₂²×C₂₃	semidirect
1004. #540	C₂²×C₂₃	semidirect
1007. #537	C₂²×C₂₃	semidirect
1008. #537	C₂²×C₂₃	semidirect
1010. #536	C₂²×C₂₃	semidirect
1012. #535	C₂²×C₂₃	semidirect
1018. C₂×C₂²⋊Q₈	C₂²×C₂₃	semidirect
1020. #520	C₂²×C₂₃	semidirect
1021. #497	C₂²×C₂₃	semidirect
1022. #496	C₂²×C₂₃	semidirect
1023. #495	C₂²×C₂₃	semidirect
1024. #492	C₂²×C₂₃	semidirect
1025. #491	C₂²×C₂₃	semidirect
1026. #489	C₂²×C₂₃	semidirect
1027. #488	C₂²×C₂₃	semidirect
1028. #487	C₂²×C₂₃	semidirect
1029. #485	C₂²×C₂₃	semidirect
1030. #485	C₂²×C₂₃	semidirect
1031. #485	C₂²×C₂₃	semidirect
1032. #483	C₂²×C₂₃	semidirect
1033. #483	C₂²×C₂₃	semidirect
1034. #483	C₂²×C₂₃	semidirect
1035. #483	C₂²×C₂₃	semidirect
1036. #482	C₂²×C₂₃	semidirect
1037. #481	C₂²×C₂₃	semidirect
1038. #481	C₂²×C₂₃	semidirect
1039. #481	C₂²×C₂₃	semidirect
1040. #480	C₂²×C₂₃	semidirect
1041. #479	C₂²×C₂₃	semidirect
1042. #478	C₂²×C₂₃	semidirect
1043. #476	C₂²×C₂₃	semidirect
1044. #475	C₂²×C₂₃	semidirect
1045. #470	C₂²×C₂₃	semidirect
1046. #469	C₂²×C₂₃	semidirect
1047. #469	C₂²×C₂₃	semidirect
1048. #468	C₂²×C₂₃	semidirect
1049. #467	C₂²×C₂₃	semidirect
1050. #467	C₂²×C₂₃	semidirect
1051. #466	C₂²×C₂₃	semidirect
1054. #465	C₂²×C₂₃	semidirect
1055. #465	C₂²×C₂₃	semidirect
1056. #465	C₂²×C₂₃	semidirect
1057. #465	C₂²×C₂₃	semidirect
1058. #465	C₂²×C₂₃	semidirect
1059. #465	C₂²×C₂₃	semidirect
1060. #465	C₂²×C₂₃	semidirect
1061. #464	C₂²×C₂₃	semidirect
1062. #464	C₂²×C₂₃	semidirect
1063. #463	C₂²×C₂₃	semidirect
1064. #463	C₂²×C₂₃	semidirect
1065. #463	C₂²×C₂₃	semidirect
1066. #463	C₂²×C₂₃	semidirect
1067. #462	C₂²×C₂₃	semidirect
1068. #461	C₂²×C₂₃	semidirect
1069. #461	C₂²×C₂₃	semidirect
1070. #461	C₂²×C₂₃	semidirect
1071. #460	C₂²×C₂₃	semidirect
1072. #459	C₂²×C₂₃	semidirect
1073. #452	C₂²×C₂₃	semidirect
1074. #452	C₂²×C₂₃	semidirect
1075. #452	C₂²×C₂₃	semidirect
1076. #452	C₂²×C₂₃	semidirect
1077. #452	C₂²×C₂₃	semidirect
1078. #452	C₂²×C₂₃	semidirect
1079. #451	C₂²×C₂₃	semidirect
1080. #451	C₂²×C₂₃	semidirect
1081. #451	C₂²×C₂₃	semidirect
1084. #450	C₂²×C₂₃	semidirect
1085. #450	C₂²×C₂₃	semidirect
1090. #449	C₂²×C₂₃	semidirect
1091. #449	C₂²×C₂₃	semidirect
1092. #449	C₂²×C₂₃	semidirect
1093. #449	C₂²×C₂₃	semidirect
1094. #449	C₂²×C₂₃	semidirect
1095. #449	C₂²×C₂₃	semidirect
1096. #449	C₂²×C₂₃	semidirect
1097. #449	C₂²×C₂₃	semidirect
1098. #449	C₂²×C₂₃	semidirect
1099. #449	C₂²×C₂₃	semidirect
1101. #448	C₂²×C₂₃	semidirect
1102. #448	C₂²×C₂₃	semidirect
1103. #448	C₂²×C₂₃	semidirect
1104. #448	C₂²×C₂₃	semidirect
1105. #448	C₂²×C₂₃	semidirect
1106. #448	C₂²×C₂₃	semidirect
1108. #447	C₂²×C₂₃	semidirect
1109. #442	C₂²×C₂₃	semidirect
1110. #442	C₂²×C₂₃	semidirect
1111. #441	C₂²×C₂₃	semidirect
1112. #440	C₂²×C₂₃	semidirect
1113. C₄×SD₁₆	C₂²×C₂₃	semidirect
1114. C₄×SD₁₆	C₂²×C₂₃	semidirect
1115. C₄×SD₁₆	C₂²×C₂₃	semidirect
1116. C₄×D₈	C₂²×C₂₃	semidirect
1118. #435	C₂²×C₂₃	semidirect
1119. #435	C₂²×C₂₃	semidirect
1120. #435	C₂²×C₂₃	semidirect
1122. C₈×D₄	C₂²×C₂₃	semidirect
1123. C₈×D₄	C₂²×C₂₃	semidirect
1124. C₈×D₄	C₂²×C₂₃	semidirect
1125. #433	C₂²×C₂₃	semidirect
1126. #433	C₂²×C₂₃	semidirect
1127. #419	C₂²×C₂₃	semidirect
1128. #417	C₂²×C₂₃	semidirect
1129. #416	C₂²×C₂₃	semidirect
1130. #416	C₂²×C₂₃	semidirect
1131. #416	C₂²×C₂₃	semidirect
1132. C₂×#103	C₂²×C₂₃	semidirect
1133. C₂×#103	C₂²×C₂₃	semidirect
1134. C₂×#102	C₂²×C₂₃	semidirect
1135. #408	C₂²×C₂₃	semidirect
1136. #408	C₂²×C₂₃	semidirect
1137. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1138. C₂×C₂²⋊C₈	C₂²×C₂₃	semidirect
1439. C₂₃	#61641	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×#3489	2
C₂₃×#3321	2
C₂₃×#3312	2
C₂₃×#3307	2
C₂₃×#3306	2
C₂₃×#3303	2
C₂₃×#3301	2
C₂₃×#3298	2
C₂₃×#3296	2
C₂₃×#3284	2
C₂₃×#3282	2
D₄×SD₁₆×C₂₃	2
C₂₃×#3280	2
C₂₃×#3271	2
C₂₃×#3267	2
C₂₃×#3266	2
C₂₃×#3264	2
C₂₃×#3225	2
C₂₃×#3221	2
C₂₃×#3204	2
C₂₃×#3198	2
C₂₃×#3190	2
C₂₃×#3187	2
C₂₃×#3125	2
C₂₃×#3119	2
C₂₃×#3013	2
C₂₃×#3010	2
C₂₃×#3002	2
C₂×C₂₃×#449	2
C₂₃×#2977	2
#61641	23

Subgroups — C23×#61641 #19209267

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#61641 #19209267