Subgroups — #16749013

Order 3328.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129077	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128464	C₂	1	1	yes	maximal, characteristic
3	#13126864	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126863	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126857	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126850	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126676	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126675	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126666	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126531	C₂	1	1	yes	maximal, characteristic, complemented
12	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126525	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126352	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126349	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126346	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125907	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125901	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125706	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125702	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125614	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125612	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125086	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125085	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124109	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718830	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123889	C₂	1	1	yes	maximal, characteristic, complemented
31	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	D₄²×C₁₃	C₂²	1	1	yes	characteristic
38	#11719521	C₂²	1	1	yes	characteristic, complemented
39	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
40	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#6106	C₂²	1	1	yes	characteristic, complemented
44	#11719511	C₂²	1	1	yes	characteristic
45	D₄×C₂²⋊D₁₃	—	2	1	no	—
46	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
47	C₂×#88191	—	2	1	no	—
48	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
52	#11719440	—	2	1	no	—
53	#11719436	C₂²	1	1	yes	characteristic, complemented
54	#11719434	—	2	1	no	—
55	#11719432	C₂²	1	1	yes	characteristic, complemented
56	#11719422	C₂²	1	1	yes	characteristic
57	#11719420	C₂²	1	1	yes	characteristic
58	#11719351	—	2	1	no	—
59	#11719347	C₂²	1	1	yes	characteristic, complemented
60	#11719344	C₂²	1	1	yes	characteristic, complemented
61	#11719343	—	2	1	no	—
62	#11719342	—	2	1	no	—
63	#11719333	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	#11719328	—	2	1	no	—
66	#11719317	C₂²	1	1	yes	characteristic
67	#11719315	—	2	1	no	—
68	#11719314	C₂²	1	1	yes	characteristic
69	#11719312	C₂²	1	1	yes	characteristic
70	#11719311	C₂²	1	1	yes	characteristic
71	#11719310	—	2	1	no	—
72	#11719296	—	2	1	no	—
73	#11719295	—	2	1	no	—
74	#11719294	—	2	1	no	—
75	D₁₃×#120	—	2	1	no	—
76	#11719288	C₂²	1	1	yes	characteristic, complemented
77	#11719286	C₂²	1	1	yes	characteristic, complemented
78	#11719269	—	2	1	no	—
79	#11719261	—	2	1	no	—
80	#11719259	C₂²	1	1	yes	characteristic
81	#11719255	C₂²	1	1	yes	characteristic
82	#11719252	C₂²	1	1	yes	characteristic
83	#11719250	C₂²	1	1	yes	characteristic
84	#11719246	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	#11718889	C₂²	1	1	yes	characteristic, complemented
97	#11718888	C₂²	1	1	yes	characteristic, complemented
98	#11718879	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718876	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
102	#11718836	C₂²	1	1	yes	characteristic, complemented
103	#11718835	C₂²	1	1	yes	characteristic, complemented
104	#11718834	C₂²	1	1	yes	characteristic, complemented
105	#11718834	C₂²	1	1	yes	characteristic, complemented
106	#11718834	C₂²	1	1	yes	characteristic, complemented
107	#11718834	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic, complemented
109	#11718832	C₂²	1	1	yes	characteristic, complemented
110	#11718832	C₂²	1	1	yes	characteristic, complemented
111	#11718832	C₂²	1	1	yes	characteristic, complemented
112	#11718831	C₂²	1	1	yes	characteristic, complemented
113	#11718831	C₂²	1	1	yes	characteristic, complemented
114	#11718830	C₂²	1	1	yes	characteristic
115	#11718830	C₂²	1	1	yes	characteristic
116	#11718830	C₂²	1	1	yes	characteristic
117	#11718830	C₂²	1	1	yes	characteristic, complemented
118	#11718830	C₂²	1	1	yes	characteristic, complemented
119	#11718830	C₂²	1	1	yes	characteristic, complemented
120	#11718830	C₂²	1	1	yes	characteristic, complemented
121	#11718830	C₂²	1	1	yes	characteristic, complemented
122	#11718830	C₂²	1	1	yes	characteristic, complemented
123	#11718830	C₂²	1	1	yes	characteristic, complemented
124	#11718830	C₂²	1	1	yes	characteristic, complemented
125	#11718830	C₂²	1	1	yes	characteristic, complemented
126	#11718828	C₂²	1	1	yes	characteristic, complemented
127	#11718827	C₂²	1	1	yes	characteristic, complemented
128	#11718827	C₂²	1	1	yes	characteristic, complemented
129	#11718825	C₂²	1	1	yes	characteristic, complemented
130	#11718824	C₂²	1	1	yes	characteristic, complemented
131	#11718824	C₂²	1	1	yes	characteristic, complemented
132	#11718823	C₂²	1	1	yes	characteristic, complemented
133	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718777	C₂²	1	1	yes	characteristic, complemented
135	#11718775	C₂²	1	1	yes	characteristic, complemented
136	#11718774	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
138	#11718772	C₂²	1	1	yes	characteristic, complemented
139	#11718771	C₂²	1	1	yes	characteristic, complemented
140	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
142	#11718747	C₂²	1	1	yes	characteristic, complemented
143	#11718744	C₂²	1	1	yes	characteristic, complemented
144	#11718736	C₂²	1	1	yes	characteristic, complemented
145	#11718732	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718710	C₂²	1	1	yes	characteristic, complemented
148	#11718708	C₂²	1	1	yes	characteristic, complemented
149	#11718707	C₂²	1	1	yes	characteristic, complemented
150	#11718703	C₂²	1	1	yes	characteristic, complemented
151	#11718702	C₂²	1	1	yes	characteristic, complemented
152	#11718696	C₂²	1	1	yes	characteristic, complemented
153	#11718694	C₂²	1	1	yes	characteristic, complemented
154	#11718689	C₂²	1	1	yes	characteristic, complemented
155	#11718687	C₂²	1	1	yes	characteristic, complemented
156	#11718679	C₂²	1	1	yes	characteristic, complemented
157	#11718672	C₂²	1	1	yes	characteristic, complemented
158	#11718670	C₂²	1	1	yes	characteristic, complemented
159	#11718532	C₂²	1	1	yes	characteristic, complemented
160	#11718528	C₂²	1	1	yes	characteristic, complemented
161	#11718527	C₂²	1	1	yes	characteristic, complemented
162	#11718523	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718506	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718497	C₂²	1	1	yes	characteristic, complemented
167	#11718479	C₂²	1	1	yes	characteristic, complemented
168	#11718478	C₂²	1	1	yes	characteristic, complemented
169	#11718476	C₂²	1	1	yes	characteristic, complemented
170	#11718476	C₂²	1	1	yes	characteristic, complemented
171	#11718475	C₂²	1	1	yes	characteristic, complemented
172	#11718474	C₂²	1	1	yes	characteristic, complemented
173	#11718474	C₂²	1	1	yes	characteristic, complemented
174	#11718473	C₂²	1	1	yes	characteristic, complemented
175	#11718469	C₂²	1	1	yes	characteristic, complemented
176	#11718468	C₂²	1	1	yes	characteristic, complemented
177	#11718467	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic, complemented
180	#11718440	C₂²	1	1	yes	characteristic, complemented
181	#11718437	C₂²	1	1	yes	characteristic
182	#11718437	C₂²	1	1	yes	characteristic, complemented
183	#11718435	C₂²	1	1	yes	characteristic, complemented
184	#11718433	C₂²	1	1	yes	characteristic, complemented
185	#11718431	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
188	#11718429	C₂²	1	1	yes	characteristic, complemented
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718424	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
206	C₂²×D₄×C₁₃	—	2	1	no	—
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂²×C₂²⋊D₁₃	—	2	1	no	—
212	C₂²×C₂²⋊D₁₃	—	2	1	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
215	#88251	—	4	2	no	—
216	#88251	—	4	2	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	—	4	2	no	—
226	C₂×D₄×D₁₃	—	4	2	no	—
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂×#6127	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	—	4	2	no	—
237	C₂×C₁₃×SD₁₆	—	4	2	no	—
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
247	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
249	C₁₃×C₄⋊Q₈	—	2	1	no	—
250	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
251	C₁₃×#127	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	—	2	1	no	—
253	C₁₃×C₂²⋊Q₈	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	C₂³	1	1	yes	characteristic
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#120	—	2	1	no	—
260	C₁₃×#120	—	2	1	no	—
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	#88207	—	2	1	no	—
266	#88207	—	2	1	no	—
267	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
268	#88201	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	#88200	—	2	1	no	—
272	#88200	—	2	1	no	—
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88200	C₂³	1	1	yes	characteristic
278	#88200	C₂³	1	1	yes	characteristic, complemented
279	#88200	C₂³	1	1	yes	characteristic, complemented
280	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
281	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
282	#88198	—	2	1	no	—
283	#88198	—	2	1	no	—
284	#88198	—	2	1	no	—
285	#88198	C₂³	1	1	yes	characteristic, complemented
286	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
287	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
288	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
289	#88196	—	4	2	no	—
290	C₂×#6106	—	4	2	no	—
291	C₂×#6106	C₂³	1	1	yes	characteristic
292	C₂×#6106	C₂³	1	1	yes	characteristic
293	C₂×#6106	C₂³	1	1	yes	characteristic
294	C₂×#6106	C₂³	1	1	yes	characteristic
295	C₂×#6106	C₂³	1	1	yes	characteristic
296	C₂×#6106	C₂³	1	1	yes	characteristic
297	#88194	—	2	1	no	—
298	#88194	C₂³	1	1	yes	characteristic
299	#88193	—	2	1	no	—
300	#88193	—	2	1	no	—
301	#88193	—	2	1	no	—
302	#88193	—	2	1	no	—
303	#88193	D₄	1	1	yes	characteristic
304	#88192	—	2	1	no	—
305	#88192	—	2	1	no	—
306	#88192	C₂³	1	1	yes	characteristic
307	#88192	C₂³	1	1	yes	characteristic
308	#88191	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	—	2	1	no	—
311	#88191	—	2	1	no	—
312	#88191	—	2	1	no	—
313	#88191	—	2	1	no	—
314	#88191	—	2	1	no	—
315	#88191	—	2	1	no	—
316	#88191	—	2	1	no	—
317	#88191	—	2	1	no	—
318	#88191	D₄	1	1	yes	characteristic
319	#88190	C₂³	1	1	yes	characteristic
320	#88189	—	2	1	no	—
321	#88189	—	2	1	no	—
322	D₄×Dic₁₃	—	2	1	no	—
323	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
324	C₂×#6105	C₂³	1	1	yes	characteristic
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
327	#88184	—	2	1	no	—
328	#88184	C₂³	1	1	yes	characteristic
329	#88183	—	2	1	no	—
330	#88183	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	—	2	1	no	—
332	C₄×C₂²⋊D₁₃	—	2	1	no	—
333	C₄×C₂²⋊D₁₃	—	2	1	no	—
334	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
335	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
336	C₂×#6103	—	2	1	no	—
337	C₂×#6103	—	2	1	no	—
338	C₂×#6103	—	2	1	no	—
339	#88180	C₂³	1	1	yes	characteristic, complemented
340	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
341	#88178	—	2	1	no	—
342	#88178	—	2	1	no	—
343	#88178	C₂³	1	1	yes	characteristic
344	#88178	C₂³	1	1	yes	characteristic
345	#88178	C₂³	1	1	yes	characteristic, complemented
346	C₂×#6101	—	2	1	no	—
347	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
348	C₂²×#1055	C₂³	1	1	yes	characteristic
349	#88169	—	4	2	no	—
350	SD₁₆×D₁₃	—	4	2	no	—
351	SD₁₆×D₁₃	—	4	2	no	—
352	SD₁₆×D₁₃	—	4	2	no	—
353	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
354	C₂×#6095	C₂³	1	1	yes	characteristic
355	C₂×#6095	C₂³	1	1	yes	characteristic
356	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
357	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
358	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
359	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
360	#88152	—	2	1	no	—
361	#88152	—	2	1	no	—
362	#88152	—	2	1	no	—
363	#88152	—	2	1	no	—
364	#88151	C₂³	1	1	yes	characteristic
365	#88151	C₂³	1	1	yes	characteristic
366	#88150	—	2	1	no	—
367	#88150	—	2	1	no	—
368	#88150	—	2	1	no	—
369	#88150	D₄	1	1	yes	characteristic
370	#88149	C₂³	1	1	yes	characteristic
371	#88148	—	2	1	no	—
372	#88148	—	2	1	no	—
373	#88148	—	2	1	no	—
374	#88148	D₄	1	1	yes	characteristic
375	#88147	—	2	1	no	—
376	#88147	C₂³	1	1	yes	characteristic
377	#88146	—	2	1	no	—
378	#88146	C₂³	1	1	yes	characteristic
379	#88146	C₂³	1	1	yes	characteristic, complemented
380	C₄⋊C₄×D₁₃	—	2	1	no	—
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	#88144	—	2	1	no	—
383	#88144	C₂³	1	1	yes	characteristic, complemented
384	#88143	—	2	1	no	—
385	#88143	—	2	1	no	—
386	#88143	—	2	1	no	—
387	#88143	—	2	1	no	—
388	#88143	—	2	1	no	—
389	#88143	—	2	1	no	—
390	#88142	—	2	1	no	—
391	#88142	—	2	1	no	—
392	#88140	—	2	1	no	—
393	#88140	—	2	1	no	—
394	#88139	—	2	1	no	—
395	#88139	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88138	D₄	1	1	yes	characteristic
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	—	2	1	no	—
402	#88137	—	2	1	no	—
403	#88137	D₄	1	1	yes	characteristic
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88136	D₄	1	1	yes	characteristic
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	#88133	—	2	1	no	—
415	#88133	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	D₄	1	1	yes	characteristic
418	#88131	—	2	1	no	—
419	#88131	—	2	1	no	—
420	#88130	—	2	1	no	—
421	#88130	—	2	1	no	—
422	#88129	C₂³	1	1	yes	characteristic
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	#88126	—	2	1	no	—
426	#88126	C₂³	1	1	yes	characteristic
427	#88124	—	2	1	no	—
428	#88124	C₂³	1	1	yes	characteristic, complemented
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
430	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
434	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
440	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
441	#88075	C₂³	1	1	yes	characteristic, complemented
442	#88075	C₂³	1	1	yes	characteristic, complemented
443	#88075	C₂³	1	1	yes	characteristic, complemented
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic, complemented
451	#88072	C₂³	1	1	yes	characteristic, complemented
452	#88072	C₂³	1	1	yes	characteristic, complemented
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic, complemented
468	#88060	C₂³	1	1	yes	characteristic, complemented
469	#88058	C₂³	1	1	yes	characteristic, complemented
470	#88057	C₂³	1	1	yes	characteristic, complemented
471	#88057	C₂³	1	1	yes	characteristic, complemented
472	#88056	C₂³	1	1	yes	characteristic, complemented
473	#88056	C₂³	1	1	yes	characteristic, complemented
474	#88056	C₂³	1	1	yes	characteristic, complemented
475	#88056	C₂³	1	1	yes	characteristic, complemented
476	#88055	C₂³	1	1	yes	characteristic, complemented
477	#88054	C₂³	1	1	yes	characteristic, complemented
478	#88054	C₂³	1	1	yes	characteristic, complemented
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
480	#88050	C₂³	1	1	yes	characteristic, complemented
481	#88050	C₂³	1	1	yes	characteristic, complemented
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic, complemented
485	#88047	C₂³	1	1	yes	characteristic, complemented
486	#88047	C₂³	1	1	yes	characteristic, complemented
487	#88047	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
489	#88043	C₂³	1	1	yes	characteristic, complemented
490	#61631	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	2	1	no	—
498	C₂³×D₁₃	—	2	1	no	—
499	C₂³×D₁₃	—	4	4	no	—
500	C₂³×D₁₃	—	8	2	no	—
501	C₂³×D₁₃	—	8	2	no	—
502	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	—	2	1	no	—
504	C₂×Q₈×C₁₃	—	2	1	no	—
505	C₂×Q₈×C₁₃	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	4	1	no	—
507	C₂×Q₈×C₁₃	—	4	1	no	—
508	C₂×Q₈×C₁₃	—	4	1	no	—
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	—	2	2	no	—
513	C₂×D₄×C₁₃	—	2	2	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	4	1	no	—
521	C₂×D₄×C₁₃	—	4	1	no	—
522	C₂×D₄×C₁₃	—	8	2	no	—
523	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	4	4	no	—
546	C₂×C₂²⋊D₁₃	—	4	4	no	—
547	C₂×C₂²⋊D₁₃	—	4	4	no	—
548	C₂×C₂²⋊D₁₃	—	8	2	no	—
549	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	—	2	1	no	—
557	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
558	Q₈×D₁₃	—	4	1	no	—
559	Q₈×D₁₃	—	4	1	no	—
560	Q₈×D₁₃	—	4	1	no	—
561	Q₈×D₁₃	—	4	1	no	—
562	#6129	—	2	2	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	1	no	—
565	#6129	—	4	1	no	—
566	#6129	—	4	4	no	—
567	D₄×D₁₃	—	2	2	no	—
568	D₄×D₁₃	—	2	2	no	—
569	D₄×D₁₃	—	2	2	no	—
570	D₄×D₁₃	—	2	2	no	—
571	D₄×D₁₃	—	2	2	no	—
572	D₄×D₁₃	—	4	1	no	—
573	D₄×D₁₃	—	4	1	no	—
574	D₄×D₁₃	—	4	1	no	—
575	D₄×D₁₃	—	4	1	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	4	no	—
578	D₄×D₁₃	—	4	4	no	—
579	D₄×D₁₃	—	4	4	no	—
580	D₄×D₁₃	—	8	2	no	—
581	D₄×D₁₃	—	8	2	no	—
582	#6127	—	2	2	no	—
583	#6127	—	4	1	no	—
584	#6127	—	4	1	no	—
585	#6127	—	4	1	no	—
586	C₂×D₅₂	—	2	2	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	—	2	1	no	—
589	C₂×D₅₂	—	4	1	no	—
590	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
591	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
592	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	4	1	no	—
601	C₂×C₄×D₁₃	—	4	1	no	—
602	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₂₆	—	2	1	no	—
608	C₂×Dic₂₆	—	2	1	no	—
609	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
610	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
611	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
612	C₁₃×SD₁₆	—	2	2	no	—
613	C₁₃×SD₁₆	—	2	2	no	—
614	C₁₃×SD₁₆	—	2	2	no	—
615	C₁₃×SD₁₆	—	4	1	no	—
616	C₁₃×SD₁₆	—	4	1	no	—
617	C₁₃×SD₁₆	—	4	1	no	—
618	C₁₃×SD₁₆	—	4	1	no	—
619	C₁₃×SD₁₆	—	4	1	no	—
620	C₁₃×SD₁₆	—	4	1	no	—
621	C₂×C₈×C₁₃	—	4	1	no	—
622	C₂×C₈×C₁₃	—	4	1	no	—
623	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	—	2	1	no	—
629	C₁₃×C₄⋊C₄	—	2	1	no	—
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₄²×C₁₃	—	2	1	no	—
643	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
655	#6107	—	4	1	no	—
656	#6107	—	4	1	no	—
657	#6107	—	4	1	no	—
658	#6106	—	2	2	no	—
659	#6106	—	2	2	no	—
660	#6106	—	2	2	no	—
661	#6106	—	4	1	no	—
662	#6106	—	4	1	no	—
663	#6106	—	4	1	no	—
664	#6105	—	2	2	no	—
665	#6105	—	4	1	no	—
666	#6105	—	4	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	C₂×D₄	1	1	yes	characteristic
685	#6103	C₂×D₄	1	1	yes	characteristic
686	#6103	C₂×D₄	1	1	yes	characteristic
687	#6103	C₂×D₄	1	1	yes	characteristic
688	#6103	C₂×D₄	1	1	yes	characteristic
689	#6103	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₁₃	—	2	1	no	—
691	C₄⋊Dic₁₃	—	2	1	no	—
692	C₄⋊Dic₁₃	—	2	1	no	—
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
721	#6101	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	C₄×Dic₁₃	—	2	1	no	—
727	C₄×Dic₁₃	—	2	1	no	—
728	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
729	#6099	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	Dic₅₂	—	4	1	no	—
736	#6095	—	2	2	no	—
737	#6095	—	4	1	no	—
738	#6094	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3538	—	13	1	no	—
743	#3484	—	13	1	no	—
744	#3310	—	13	1	no	—
745	#3310	—	13	1	no	—
746	#3310	—	13	1	no	—
747	#3310	—	13	1	no	—
748	#3296	—	13	1	no	—
749	#3296	—	13	1	no	—
750	#3296	—	13	1	no	—
751	#3296	—	13	1	no	—
752	D₄×SD₁₆	—	13	1	no	—
753	D₄×SD₁₆	—	13	1	no	—
754	D₄×SD₁₆	—	13	1	no	—
755	D₄×SD₁₆	D₁₃	1	1	yes	characteristic, complemented
756	#3266	—	13	1	no	—
757	#3266	—	13	1	no	—
758	#3266	—	13	1	no	—
759	#3266	—	13	1	no	—
760	#3222	—	13	1	no	—
761	#3222	—	13	1	no	—
762	#3200	—	13	1	no	—
763	#3200	—	13	1	no	—
764	#3190	—	13	1	no	—
765	#3190	—	13	1	no	—
766	#3123	—	13	1	no	—
767	#3123	—	13	1	no	—
768	#3009	—	13	1	no	—
769	#3009	—	13	1	no	—
770	C₂×#450	—	13	1	no	—
771	C₂×#450	—	13	1	no	—
772	#2977	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	4	2	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	4	2	no	—
779	C₂³×C₁₃	—	8	1	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	—	2	2	no	—
785	C₂²×D₁₃	—	2	1	no	—
786	C₂²×D₁₃	—	2	4	no	—
787	C₂²×D₁₃	—	2	2	no	—
788	C₂²×D₁₃	—	2	1	no	—
789	C₂²×D₁₃	—	4	1	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	4	2	no	—
793	C₂²×D₁₃	—	4	2	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	—	8	1	no	—
801	C₂²×D₁₃	—	8	1	no	—
802	C₂²×D₁₃	—	8	1	no	—
803	C₂²×D₁₃	—	8	1	no	—
804	C₂²×D₁₃	—	8	1	no	—
805	C₂²×D₁₃	—	8	1	no	—
806	C₂²×D₁₃	—	8	1	no	—
807	C₂²×D₁₃	—	8	16	no	—
808	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
811	Q₈×C₁₃	—	2	1	no	—
812	Q₈×C₁₃	—	2	1	no	—
813	Q₈×C₁₃	—	2	1	no	—
814	Q₈×C₁₃	—	2	1	no	—
815	Q₈×C₁₃	—	2	1	no	—
816	Q₈×C₁₃	—	2	1	no	—
817	Q₈×C₁₃	—	8	1	no	—
818	Q₈×C₁₃	—	8	1	no	—
819	D₄×C₁₃	—	2	2	no	—
820	D₄×C₁₃	—	2	1	no	—
821	D₄×C₁₃	—	2	1	no	—
822	D₄×C₁₃	—	2	1	no	—
823	D₄×C₁₃	—	2	1	no	—
824	D₄×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	4	2	no	—
826	D₄×C₁₃	—	4	2	no	—
827	D₄×C₁₃	—	4	2	no	—
828	D₄×C₁₃	—	8	1	no	—
829	D₄×C₁₃	—	8	1	no	—
830	D₄×C₁₃	—	8	1	no	—
831	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	8	1	no	—
842	C₂×C₄×C₁₃	—	8	1	no	—
843	C₂×C₄×C₁₃	—	8	1	no	—
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
849	C₂²⋊D₁₃	—	2	4	no	—
850	C₂²⋊D₁₃	—	2	2	no	—
851	C₂²⋊D₁₃	—	2	2	no	—
852	C₂²⋊D₁₃	—	4	1	no	—
853	C₂²⋊D₁₃	—	4	1	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	4	2	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂²⋊D₁₃	—	8	1	no	—
864	C₂²⋊D₁₃	—	8	1	no	—
865	C₂²⋊D₁₃	—	8	1	no	—
866	C₂×Dic₁₃	—	2	1	no	—
867	C₂×Dic₁₃	—	2	1	no	—
868	C₂×Dic₁₃	—	2	1	no	—
869	C₂×Dic₁₃	—	2	1	no	—
870	C₂×Dic₁₃	—	2	1	no	—
871	C₂×Dic₁₃	—	2	1	no	—
872	C₂×Dic₁₃	—	4	1	no	—
873	C₂×Dic₁₃	—	4	2	no	—
874	C₂×Dic₁₃	—	4	2	no	—
875	C₂×Dic₁₃	—	4	2	no	—
876	C₂×Dic₁₃	—	8	1	no	—
877	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
878	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
879	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
880	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
881	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
882	D₅₂	—	2	2	no	—
883	D₅₂	—	2	1	no	—
884	D₅₂	—	2	1	no	—
885	D₅₂	—	2	1	no	—
886	D₅₂	—	4	1	no	—
887	D₅₂	—	4	2	no	—
888	D₅₂	—	8	1	no	—
889	D₅₂	H(5,𝔽₂)	1	2	yes	—
890	C₄×D₁₃	—	2	1	no	—
891	C₄×D₁₃	—	2	1	no	—
892	C₄×D₁₃	—	2	1	no	—
893	C₄×D₁₃	—	2	1	no	—
894	C₄×D₁₃	—	2	1	no	—
895	C₄×D₁₃	—	2	1	no	—
896	C₄×D₁₃	—	4	1	no	—
897	C₄×D₁₃	—	4	1	no	—
898	C₄×D₁₃	—	4	2	no	—
899	C₄×D₁₃	—	4	2	no	—
900	C₄×D₁₃	—	8	1	no	—
901	C₄×D₁₃	—	8	1	no	—
902	C₄×D₁₃	—	8	1	no	—
903	C₄×D₁₃	—	8	1	no	—
904	Dic₂₆	—	2	1	no	—
905	Dic₂₆	—	2	1	no	—
906	Dic₂₆	—	2	1	no	—
907	Dic₂₆	—	2	1	no	—
908	Dic₂₆	—	4	1	no	—
909	Dic₂₆	—	8	1	no	—
910	Dic₂₆	—	8	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	C₈×C₁₃	—	2	1	no	—
913	C₈×C₁₃	—	2	1	no	—
914	C₈×C₁₃	—	2	1	no	—
915	#1055	—	2	1	no	—
916	#1055	—	2	1	no	—
917	#1055	—	2	1	no	—
918	#1055	—	2	1	no	—
919	C₂×H(5,𝔽₂)	—	13	1	no	—
920	C₂³×D₄	—	13	1	no	—
921	C₂×#137	—	13	1	no	—
922	C₂×#137	—	13	1	no	—
923	C₂²×SD₁₆	—	13	1	no	—
924	C₂²×SD₁₆	—	13	1	no	—
925	C₂²×SD₁₆	—	13	1	no	—
926	C₂²×SD₁₆	—	13	1	no	—
927	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
928	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#563	—	26	1	no	—
930	#563	—	26	1	no	—
931	#552	—	13	1	no	—
932	#552	—	13	1	no	—
933	#552	—	13	1	no	—
934	#552	—	13	1	no	—
935	#551	—	26	1	no	—
936	#551	—	26	1	no	—
937	D₄×Q₈	—	13	1	no	—
938	D₄×Q₈	—	13	1	no	—
939	D₄×Q₈	—	13	1	no	—
940	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#546	—	13	1	no	—
942	#546	—	13	1	no	—
943	#546	—	13	1	no	—
944	#546	—	13	1	no	—
945	#546	—	26	1	no	—
946	#546	—	26	1	no	—
947	D₄²	—	13	1	no	—
948	D₄²	—	13	1	no	—
949	D₄²	—	13	1	no	—
950	D₄²	—	26	1	no	—
951	D₄²	—	26	1	no	—
952	D₄²	C₂×D₁₃	1	1	yes	characteristic
953	#544	—	26	1	no	—
954	#544	—	26	1	no	—
955	#541	—	13	1	no	—
956	#541	—	13	1	no	—
957	#539	—	26	1	no	—
958	#539	—	26	1	no	—
959	#536	—	13	1	no	—
960	#536	—	13	1	no	—
961	#535	—	13	1	no	—
962	#535	—	13	1	no	—
963	#534	—	26	1	no	—
964	#534	—	26	1	no	—
965	#525	—	13	1	no	—
966	#525	—	13	1	no	—
967	C₂×C₂²⋊Q₈	—	13	1	no	—
968	C₂×C₂²⋊Q₈	—	13	1	no	—
969	C₂×#120	—	26	1	no	—
970	C₂×#120	—	26	1	no	—
971	#518	—	13	1	no	—
972	#497	—	13	1	no	—
973	#497	—	13	1	no	—
974	#492	—	13	1	no	—
975	#492	C₂×D₁₃	1	1	yes	characteristic, complemented
976	#490	—	13	1	no	—
977	#490	—	13	1	no	—
978	#488	—	13	1	no	—
979	#488	—	13	1	no	—
980	#485	—	13	1	no	—
981	#485	—	13	1	no	—
982	#485	—	13	1	no	—
983	#485	—	13	1	no	—
984	#483	—	13	1	no	—
985	#483	—	13	1	no	—
986	#482	—	13	1	no	—
987	#482	—	13	1	no	—
988	#482	—	13	1	no	—
989	#482	—	13	1	no	—
990	#480	—	13	1	no	—
991	#480	—	13	1	no	—
992	#478	—	13	1	no	—
993	#478	—	13	1	no	—
994	#478	—	13	1	no	—
995	#478	—	13	1	no	—
996	#468	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#467	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#467	—	13	1	no	—
1003	#467	—	13	1	no	—
1004	#465	—	13	1	no	—
1005	#465	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#465	—	13	1	no	—
1010	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	#464	—	13	1	no	—
1013	#464	—	13	1	no	—
1014	#464	—	13	1	no	—
1015	#464	—	13	1	no	—
1016	#461	—	13	1	no	—
1017	#461	—	13	1	no	—
1018	#461	—	13	1	no	—
1019	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	#460	—	13	1	no	—
1021	#460	—	13	1	no	—
1022	#460	—	13	1	no	—
1023	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#451	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#450	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#450	—	13	1	no	—
1037	#450	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#450	—	13	1	no	—
1040	#450	—	13	1	no	—
1041	#450	—	13	1	no	—
1042	#450	—	13	1	no	—
1043	#450	—	13	1	no	—
1044	#450	—	13	1	no	—
1045	#450	—	13	1	no	—
1046	#450	—	13	1	no	—
1047	#450	—	13	1	no	—
1048	#450	—	13	1	no	—
1049	#450	—	13	1	no	—
1050	#450	—	13	1	no	—
1051	#450	—	13	1	no	—
1052	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	#448	—	13	1	no	—
1055	#448	—	13	1	no	—
1056	#448	—	13	1	no	—
1057	#448	—	13	1	no	—
1058	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1059	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1060	#440	—	13	1	no	—
1061	#440	—	13	1	no	—
1062	#440	—	13	1	no	—
1063	#440	—	13	1	no	—
1064	C₄×SD₁₆	—	13	1	no	—
1065	C₄×SD₁₆	—	13	1	no	—
1066	C₄×SD₁₆	—	13	1	no	—
1067	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	—	13	1	no	—
1071	#435	—	13	1	no	—
1072	C₈×D₄	—	13	1	no	—
1073	C₈×D₄	—	13	1	no	—
1074	C₈×D₄	—	13	1	no	—
1075	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1076	#433	—	13	1	no	—
1077	#433	—	13	1	no	—
1078	#418	—	13	1	no	—
1079	#418	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	#416	—	13	1	no	—
1082	C₂×#102	—	13	1	no	—
1083	C₂×#102	—	13	1	no	—
1084	C₂×#102	—	13	1	no	—
1085	C₂×#102	—	13	1	no	—
1086	#408	—	13	1	no	—
1087	#408	—	13	1	no	—
1088	C₂×C₂²⋊C₈	—	13	1	no	—
1089	C₂×C₂²⋊C₈	—	13	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	2	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	8	4	no	—
1105	C₂²×C₁₃	—	16	2	no	—
1106	C₂²×C₁₃	#577	1	2	yes	—
1107	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	2	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	1	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	4	4	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	8	4	no	—
1124	C₂×D₁₃	—	8	4	no	—
1125	C₂×D₁₃	—	8	4	no	—
1126	C₂×D₁₃	—	8	4	no	—
1127	C₂×D₁₃	—	8	4	no	—
1128	C₂×D₁₃	—	16	2	no	—
1129	C₂×D₁₃	#577	1	2	yes	—
1130	C₄×C₁₃	—	2	1	no	—
1131	C₄×C₁₃	—	2	1	no	—
1132	C₄×C₁₃	—	2	1	no	—
1133	C₄×C₁₃	—	2	1	no	—
1134	C₄×C₁₃	—	4	1	no	—
1135	C₄×C₁₃	—	4	1	no	—
1136	C₄×C₁₃	—	4	1	no	—
1137	C₄×C₁₃	—	4	1	no	—
1138	C₄×C₁₃	—	4	1	no	—
1139	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1140	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1141	Dic₁₃	—	2	1	no	—
1142	Dic₁₃	—	2	1	no	—
1143	Dic₁₃	—	2	1	no	—
1144	Dic₁₃	—	2	1	no	—
1145	Dic₁₃	—	2	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	Dic₁₃	—	4	1	no	—
1148	Dic₁₃	—	4	1	no	—
1149	Dic₁₃	—	4	1	no	—
1150	Dic₁₃	—	4	1	no	—
1151	Dic₁₃	—	4	1	no	—
1152	C₂⁵	—	26	1	no	—
1153	H(5,𝔽₂)	—	52	2	no	—
1154	H(5,𝔽₂)	—	52	2	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	13	1	no	—
1159	C₂×#41	—	26	1	no	—
1160	C₂²×Q₈	—	13	1	no	—
1161	C₂²×Q₈	—	13	1	no	—
1162	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1164	C₂²×D₄	—	2	1	no	—
1165	C₂²×D₄	—	13	1	no	—
1166	C₂²×D₄	—	13	1	no	—
1167	C₂²×D₄	—	13	1	no	—
1168	C₂²×D₄	—	13	1	no	—
1169	C₂²×D₄	—	13	1	no	—
1170	C₂²×D₄	—	13	1	no	—
1171	C₂²×D₄	—	26	1	no	—
1172	C₂²×D₄	—	26	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	—	26	1	no	—
1176	C₂²×D₄	—	26	1	no	—
1177	C₂²×D₄	—	26	1	no	—
1178	C₂²×D₄	—	26	1	no	—
1179	C₂²×D₄	—	26	1	no	—
1180	C₂²×D₄	—	52	2	no	—
1181	C₂²×D₄	—	52	2	no	—
1182	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1183	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1184	C₂³×C₄	—	13	1	no	—
1185	#137	—	52	2	no	—
1186	#137	—	52	2	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×Q₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	4	2	no	—
1192	C₂×SD₁₆	—	4	2	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	13	1	no	—
1203	C₂×SD₁₆	—	13	1	no	—
1204	C₂×SD₁₆	—	52	2	no	—
1205	C₂×SD₁₆	—	52	2	no	—
1206	C₂×SD₁₆	—	52	2	no	—
1207	C₂×SD₁₆	—	52	2	no	—
1208	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1212	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1215	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1216	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1217	C₂×M₁₆	—	13	1	no	—
1218	C₂×M₁₆	—	13	1	no	—
1219	C₂²×C₈	—	13	1	no	—
1220	C₂²×C₈	—	13	1	no	—
1221	C₂²×C₈	—	13	1	no	—
1222	C₂²×C₈	—	13	1	no	—
1223	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1224	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1225	C₄⋊Q₈	—	2	1	no	—
1226	C₄⋊Q₈	—	13	1	no	—
1227	C₄⋊Q₈	—	26	1	no	—
1228	C₄⋊Q₈	—	26	1	no	—
1229	C₄⋊Q₈	—	26	1	no	—
1230	C₄⋊Q₈	—	26	1	no	—
1231	C₄⋊Q₈	—	26	1	no	—
1232	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1233	#127	—	13	1	no	—
1234	#127	—	26	1	no	—
1235	#127	C₂²×D₁₃	1	1	yes	characteristic
1236	#126	—	26	1	no	—
1237	#126	—	26	1	no	—
1238	#126	—	26	1	no	—
1239	#126	—	26	1	no	—
1240	#126	—	26	1	no	—
1241	#126	—	26	1	no	—
1242	#126	—	26	1	no	—
1243	#126	—	26	1	no	—
1244	#125	—	13	1	no	—
1245	#125	—	13	1	no	—
1246	#125	—	26	1	no	—
1247	#125	—	26	1	no	—
1248	#125	—	26	1	no	—
1249	#125	—	26	1	no	—
1250	#125	—	26	1	no	—
1251	#125	—	26	1	no	—
1252	#125	—	26	1	no	—
1253	#125	—	26	1	no	—
1254	#124	—	13	1	no	—
1255	#124	—	13	1	no	—
1256	#124	—	26	1	no	—
1257	#124	—	26	1	no	—
1258	#124	—	26	1	no	—
1259	#123	—	13	1	no	—
1260	#123	—	13	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	#123	—	26	1	no	—
1264	#123	—	26	1	no	—
1265	#123	—	26	1	no	—
1266	#123	—	26	1	no	—
1267	#123	—	26	1	no	—
1268	#123	—	26	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	C₂²⋊Q₈	—	2	1	no	—
1275	C₂²⋊Q₈	—	2	1	no	—
1276	C₂²⋊Q₈	—	13	1	no	—
1277	C₂²⋊Q₈	—	13	1	no	—
1278	C₂²⋊Q₈	—	13	1	no	—
1279	C₂²⋊Q₈	—	13	1	no	—
1280	C₂²⋊Q₈	—	13	1	no	—
1281	C₂²⋊Q₈	—	13	1	no	—
1282	C₂²⋊Q₈	—	13	1	no	—
1283	C₂²⋊Q₈	—	13	1	no	—
1284	C₂²⋊Q₈	—	13	1	no	—
1285	C₂²⋊Q₈	—	13	1	no	—
1286	C₂²⋊Q₈	—	13	1	no	—
1287	C₂²⋊Q₈	—	13	1	no	—
1288	C₂²⋊Q₈	—	13	1	no	—
1289	C₂²⋊Q₈	—	13	1	no	—
1290	C₂²⋊Q₈	—	26	1	no	—
1291	C₂²⋊Q₈	—	26	1	no	—
1292	C₂²⋊Q₈	—	26	1	no	—
1293	C₂²⋊Q₈	—	26	1	no	—
1294	C₂²⋊Q₈	—	26	1	no	—
1295	C₂²⋊Q₈	—	26	1	no	—
1296	C₂²⋊Q₈	—	26	1	no	—
1297	C₂²⋊Q₈	—	26	1	no	—
1298	C₂²⋊Q₈	—	26	1	no	—
1299	C₂²⋊Q₈	—	26	1	no	—
1300	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1301	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1302	#121	—	2	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	13	1	no	—
1306	#121	—	13	1	no	—
1307	#121	—	13	1	no	—
1308	#121	—	13	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	C₂²×D₁₃	1	1	yes	characteristic
1319	#121	C₂²×D₁₃	1	1	yes	characteristic
1320	#120	—	2	1	no	—
1321	#120	—	2	1	no	—
1322	#120	—	13	1	no	—
1323	#120	—	13	1	no	—
1324	#120	—	26	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	#120	—	26	1	no	—
1334	#120	—	26	1	no	—
1335	#120	—	26	1	no	—
1336	#120	—	26	1	no	—
1337	#120	—	26	1	no	—
1338	#120	—	26	1	no	—
1339	C₄×Q₈	—	13	1	no	—
1340	C₄×Q₈	—	13	1	no	—
1341	C₄×Q₈	—	13	1	no	—
1342	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	13	1	no	—
1345	C₄×D₄	—	13	1	no	—
1346	C₄×D₄	—	13	1	no	—
1347	C₄×D₄	—	13	1	no	—
1348	C₄×D₄	—	13	1	no	—
1349	C₄×D₄	—	13	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1358	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1359	#117	—	13	1	no	—
1360	#117	—	13	1	no	—
1361	#117	—	13	1	no	—
1362	#117	—	13	1	no	—
1363	#117	—	26	1	no	—
1364	#117	—	26	1	no	—
1365	#117	—	26	1	no	—
1366	#117	—	26	1	no	—
1367	C₂×C₄⋊C₄	—	13	1	no	—
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	26	1	no	—
1370	C₂×C₄⋊C₄	—	26	1	no	—
1371	C₂×C₂²⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	C₂×C₂²⋊C₄	—	26	1	no	—
1375	C₂×C₂²⋊C₄	—	26	1	no	—
1376	C₂×C₂²⋊C₄	—	26	1	no	—
1377	C₂×C₂²⋊C₄	—	26	1	no	—
1378	C₂×C₂²⋊C₄	—	26	1	no	—
1379	#107	—	13	1	no	—
1380	#107	—	13	1	no	—
1381	#107	—	13	1	no	—
1382	#107	—	13	1	no	—
1383	#106	—	13	1	no	—
1384	#106	—	13	1	no	—
1385	#106	—	13	1	no	—
1386	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1387	C₄⋊C₈	—	13	1	no	—
1388	C₄⋊C₈	—	13	1	no	—
1389	C₄⋊C₈	—	13	1	no	—
1390	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1401	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1402	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	C₂²×D₁₃	1	1	yes	characteristic
1421	#102	C₂²×D₁₃	1	1	yes	characteristic
1422	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	—	13	1	no	—
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	—	13	1	no	—
1431	C₂²⋊C₈	—	13	1	no	—
1432	C₂²⋊C₈	—	13	1	no	—
1433	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1434	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1435	#97	—	13	1	no	—
1436	#97	—	13	1	no	—
1437	C₄×C₈	—	13	1	no	—
1438	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1439	C₂×C₁₃	—	2	2	no	—
1440	C₂×C₁₃	—	4	2	no	—
1441	C₂×C₁₃	—	4	1	no	—
1442	C₂×C₁₃	—	8	1	no	—
1443	C₂×C₁₃	—	8	1	no	—
1444	C₂×C₁₃	#3484	1	1	yes	characteristic
1445	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1446	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1447	D₁₃	—	2	2	no	—
1448	D₁₃	—	4	1	no	—
1449	D₁₃	—	4	1	no	—
1450	D₁₃	—	4	2	no	—
1451	D₁₃	—	8	1	no	—
1452	C₂⁴	—	2	1	no	—
1453	C₂⁴	—	2	1	no	—
1454	C₂⁴	—	13	1	no	—
1455	C₂⁴	—	26	1	no	—
1456	C₂⁴	—	26	1	no	—
1457	C₂⁴	—	26	1	no	—
1458	C₂⁴	—	26	1	no	—
1459	C₂⁴	—	26	1	no	—
1460	C₂⁴	—	26	1	no	—
1461	C₂⁴	—	52	4	no	—
1462	C₂⁴	—	104	2	no	—
1463	C₂⁴	—	104	2	no	—
1464	#41	—	26	2	no	—
1465	#41	—	26	2	no	—
1466	#41	—	52	1	no	—
1467	#41	—	52	1	no	—
1468	#41	—	52	1	no	—
1469	#41	—	52	1	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	4	no	—
1473	C₂×Q₈	—	2	1	no	—
1474	C₂×Q₈	—	2	1	no	—
1475	C₂×Q₈	—	4	1	no	—
1476	C₂×Q₈	—	4	1	no	—
1477	C₂×Q₈	—	4	1	no	—
1478	C₂×Q₈	—	4	1	no	—
1479	C₂×Q₈	—	13	1	no	—
1480	C₂×Q₈	—	13	1	no	—
1481	C₂×Q₈	—	13	1	no	—
1482	C₂×Q₈	—	26	1	no	—
1483	C₂×Q₈	—	26	1	no	—
1484	C₂×Q₈	—	52	1	no	—
1485	C₂×Q₈	—	52	1	no	—
1486	C₂×Q₈	—	52	1	no	—
1487	C₂×Q₈	—	52	1	no	—
1488	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1491	C₂×D₄	—	2	2	no	—
1492	C₂×D₄	—	2	2	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	—	4	1	no	—
1500	C₂×D₄	—	4	1	no	—
1501	C₂×D₄	—	8	2	no	—
1502	C₂×D₄	—	13	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	13	1	no	—
1510	C₂×D₄	—	26	2	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	2	no	—
1520	C₂×D₄	—	26	2	no	—
1521	C₂×D₄	—	26	2	no	—
1522	C₂×D₄	—	26	2	no	—
1523	C₂×D₄	—	26	2	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	52	1	no	—
1532	C₂×D₄	—	52	1	no	—
1533	C₂×D₄	—	52	1	no	—
1534	C₂×D₄	—	52	1	no	—
1535	C₂×D₄	—	52	1	no	—
1536	C₂×D₄	—	52	1	no	—
1537	C₂×D₄	—	52	4	no	—
1538	C₂×D₄	—	52	4	no	—
1539	C₂×D₄	—	52	4	no	—
1540	C₂×D₄	—	52	4	no	—
1541	C₂×D₄	—	52	4	no	—
1542	C₂×D₄	—	52	4	no	—
1543	C₂×D₄	—	104	2	no	—
1544	C₂×D₄	—	104	2	no	—
1545	C₂×D₄	—	104	2	no	—
1546	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	13	1	no	—
1554	C₂²×C₄	—	13	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	13	1	no	—
1558	C₂²×C₄	—	13	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	52	1	no	—
1570	C₂²×C₄	—	52	1	no	—
1571	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1573	Q₁₆	—	52	1	no	—
1574	Q₁₆	—	52	1	no	—
1575	Q₁₆	—	52	1	no	—
1576	Q₁₆	—	52	1	no	—
1577	SD₁₆	—	2	2	no	—
1578	SD₁₆	—	2	2	no	—
1579	SD₁₆	—	2	2	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	4	1	no	—
1582	SD₁₆	—	4	1	no	—
1583	SD₁₆	—	4	1	no	—
1584	SD₁₆	—	4	1	no	—
1585	SD₁₆	—	4	1	no	—
1586	SD₁₆	—	26	2	no	—
1587	SD₁₆	—	26	2	no	—
1588	SD₁₆	—	26	2	no	—
1589	SD₁₆	—	26	2	no	—
1590	SD₁₆	—	26	2	no	—
1591	SD₁₆	—	52	1	no	—
1592	SD₁₆	—	52	1	no	—
1593	SD₁₆	—	52	1	no	—
1594	SD₁₆	—	52	1	no	—
1595	SD₁₆	—	52	1	no	—
1596	SD₁₆	—	52	1	no	—
1597	M₁₆	—	52	1	no	—
1598	M₁₆	—	52	1	no	—
1599	C₂×C₈	—	4	1	no	—
1600	C₂×C₈	—	4	1	no	—
1601	C₂×C₈	—	13	1	no	—
1602	C₂×C₈	—	13	1	no	—
1603	C₂×C₈	—	13	1	no	—
1604	C₂×C₈	—	13	1	no	—
1605	C₂×C₈	—	52	1	no	—
1606	C₂×C₈	—	52	1	no	—
1607	C₂×C₈	—	52	1	no	—
1608	C₂×C₈	—	52	1	no	—
1609	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1612	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	13	1	no	—
1621	C₄⋊C₄	—	13	1	no	—
1622	C₄⋊C₄	—	13	1	no	—
1623	C₄⋊C₄	—	13	1	no	—
1624	C₄⋊C₄	—	13	1	no	—
1625	C₄⋊C₄	—	13	1	no	—
1626	C₄⋊C₄	—	13	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	—	26	1	no	—
1646	C₄⋊C₄	—	26	1	no	—
1647	C₄⋊C₄	—	26	1	no	—
1648	C₄⋊C₄	—	26	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1651	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1652	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	13	1	no	—
1661	C₂²⋊C₄	—	13	1	no	—
1662	C₂²⋊C₄	—	13	1	no	—
1663	C₂²⋊C₄	—	13	1	no	—
1664	C₂²⋊C₄	—	13	1	no	—
1665	C₂²⋊C₄	—	13	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1693	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1694	C₄²	—	2	1	no	—
1695	C₄²	—	13	1	no	—
1696	C₄²	—	26	1	no	—
1697	C₄²	—	26	1	no	—
1698	C₄²	—	26	1	no	—
1699	C₄²	—	26	1	no	—
1700	C₄²	—	26	1	no	—
1701	C₄²	—	26	1	no	—
1702	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1703	C₁₃	#61631	1	1	yes	characteristic, complemented, Sylow
1704	C₂³	—	2	1	no	—
1705	C₂³	—	2	1	no	—
1706	C₂³	—	2	1	no	—
1707	C₂³	—	4	2	no	—
1708	C₂³	—	4	2	no	—
1709	C₂³	—	4	2	no	—
1710	C₂³	—	8	1	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	13	1	no	—
1714	C₂³	—	13	1	no	—
1715	C₂³	—	13	1	no	—
1716	C₂³	—	26	2	no	—
1717	C₂³	—	26	4	no	—
1718	C₂³	—	26	2	no	—
1719	C₂³	—	26	1	no	—
1720	C₂³	—	26	1	no	—
1721	C₂³	—	52	1	no	—
1722	C₂³	—	52	2	no	—
1723	C₂³	—	52	2	no	—
1724	C₂³	—	52	2	no	—
1725	C₂³	—	52	2	no	—
1726	C₂³	—	52	2	no	—
1727	C₂³	—	52	2	no	—
1728	C₂³	—	52	2	no	—
1729	C₂³	—	52	2	no	—
1730	C₂³	—	104	1	no	—
1731	C₂³	—	104	1	no	—
1732	C₂³	—	104	1	no	—
1733	C₂³	—	104	1	no	—
1734	C₂³	—	104	1	no	—
1735	C₂³	—	104	1	no	—
1736	C₂³	—	104	1	no	—
1737	C₂³	—	104	1	no	—
1738	C₂³	—	104	1	no	—
1739	C₂³	—	104	16	no	—
1740	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1741	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1742	Q₈	—	2	1	no	—
1743	Q₈	—	2	1	no	—
1744	Q₈	—	2	1	no	—
1745	Q₈	—	2	1	no	—
1746	Q₈	—	2	1	no	—
1747	Q₈	—	2	1	no	—
1748	Q₈	—	8	1	no	—
1749	Q₈	—	8	1	no	—
1750	Q₈	—	26	1	no	—
1751	Q₈	—	26	1	no	—
1752	Q₈	—	26	1	no	—
1753	Q₈	—	26	1	no	—
1754	Q₈	—	52	1	no	—
1755	Q₈	—	104	1	no	—
1756	Q₈	—	104	1	no	—
1757	D₄	—	2	2	no	—
1758	D₄	—	2	1	no	—
1759	D₄	—	2	1	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	4	2	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	13	2	no	—
1770	D₄	—	26	2	no	—
1771	D₄	—	26	2	no	—
1772	D₄	—	26	4	no	—
1773	D₄	—	26	2	no	—
1774	D₄	—	26	1	no	—
1775	D₄	—	26	1	no	—
1776	D₄	—	26	1	no	—
1777	D₄	—	52	1	no	—
1778	D₄	—	52	2	no	—
1779	D₄	—	52	1	no	—
1780	D₄	—	52	1	no	—
1781	D₄	—	52	2	no	—
1782	D₄	—	52	2	no	—
1783	D₄	—	52	2	no	—
1784	D₄	—	52	2	no	—
1785	D₄	—	52	2	no	—
1786	D₄	—	52	2	no	—
1787	D₄	—	52	2	no	—
1788	D₄	—	52	2	no	—
1789	D₄	—	104	1	no	—
1790	D₄	—	104	1	no	—
1791	D₄	—	104	1	no	—
1792	D₄	—	104	1	no	—
1793	D₄	—	104	1	no	—
1794	D₄	#88251	1	2	yes	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	8	1	no	—
1805	C₂×C₄	—	8	1	no	—
1806	C₂×C₄	—	8	1	no	—
1807	C₂×C₄	—	13	1	no	—
1808	C₂×C₄	—	13	1	no	—
1809	C₂×C₄	—	13	1	no	—
1810	C₂×C₄	—	13	1	no	—
1811	C₂×C₄	—	13	1	no	—
1812	C₂×C₄	—	26	1	no	—
1813	C₂×C₄	—	26	1	no	—
1814	C₂×C₄	—	26	1	no	—
1815	C₂×C₄	—	26	1	no	—
1816	C₂×C₄	—	26	1	no	—
1817	C₂×C₄	—	26	1	no	—
1818	C₂×C₄	—	26	1	no	—
1819	C₂×C₄	—	26	1	no	—
1820	C₂×C₄	—	26	1	no	—
1821	C₂×C₄	—	26	1	no	—
1822	C₂×C₄	—	26	1	no	—
1823	C₂×C₄	—	26	1	no	—
1824	C₂×C₄	—	52	1	no	—
1825	C₂×C₄	—	52	1	no	—
1826	C₂×C₄	—	52	2	no	—
1827	C₂×C₄	—	52	2	no	—
1828	C₂×C₄	—	52	1	no	—
1829	C₂×C₄	—	52	2	no	—
1830	C₂×C₄	—	52	2	no	—
1831	C₂×C₄	—	52	2	no	—
1832	C₂×C₄	—	104	1	no	—
1833	C₂×C₄	—	104	1	no	—
1834	C₂×C₄	—	104	1	no	—
1835	C₂×C₄	—	104	1	no	—
1836	C₂×C₄	—	104	1	no	—
1837	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1838	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1839	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1840	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1841	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1842	C₈	—	2	1	no	—
1843	C₈	—	2	1	no	—
1844	C₈	—	2	1	no	—
1845	C₈	—	2	1	no	—
1846	C₈	—	26	1	no	—
1847	C₈	—	26	1	no	—
1848	C₈	—	26	1	no	—
1849	C₈	—	26	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	2	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	8	4	no	—
1865	C₂²	—	13	2	no	—
1866	C₂²	—	16	2	no	—
1867	C₂²	—	26	1	no	—
1868	C₂²	—	26	1	no	—
1869	C₂²	—	26	1	no	—
1870	C₂²	—	26	1	no	—
1871	C₂²	—	26	2	no	—
1872	C₂²	—	26	1	no	—
1873	C₂²	—	26	1	no	—
1874	C₂²	—	26	1	no	—
1875	C₂²	—	26	1	no	—
1876	C₂²	—	52	4	no	—
1877	C₂²	—	52	1	no	—
1878	C₂²	—	52	1	no	—
1879	C₂²	—	52	1	no	—
1880	C₂²	—	52	1	no	—
1881	C₂²	—	52	1	no	—
1882	C₂²	—	104	4	no	—
1883	C₂²	—	104	4	no	—
1884	C₂²	—	104	4	no	—
1885	C₂²	—	104	4	no	—
1886	C₂²	—	104	4	no	—
1887	C₂²	—	208	2	no	—
1888	C₂²	#11719467	1	2	yes	—
1889	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	2	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	4	1	no	—
1899	C₄	—	26	1	no	—
1900	C₄	—	26	1	no	—
1901	C₄	—	26	1	no	—
1902	C₄	—	26	1	no	—
1903	C₄	—	26	1	no	—
1904	C₄	—	52	1	no	—
1905	C₄	—	52	1	no	—
1906	C₄	—	52	1	no	—
1907	C₄	—	52	1	no	—
1908	C₄	—	52	1	no	—
1909	C₄	—	52	1	no	—
1910	C₄	C₂×#88251	1	1	yes	characteristic
1911	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1912	C₂	—	2	2	no	—
1913	C₂	—	4	1	no	—
1914	C₂	—	4	2	no	—
1915	C₂	—	8	1	no	—
1916	C₂	—	8	1	no	—
1917	C₂	—	26	2	no	—
1918	C₂	—	52	1	no	—
1919	C₂	—	52	1	no	—
1920	C₂	—	52	2	no	—
1921	C₂	—	104	1	no	—
1922	C₂	#13128464	1	1	yes	characteristic
1923	C₂	D₁₃×#577	1	1	yes	characteristic
1924	C₂	C₂×#11719467	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	D₄×C₁₃×SD₁₆	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128464	C₂
hypercenter	D₄×SD₁₆	D₁₃
hypocenter	C₁₃	#61631
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ D₄×SD₁₆

Complements

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

N	H ≅ G/N	type
1. #13129077	C₂	semidirect
3. #13126864	C₂	semidirect
4. #13126863	C₂	semidirect
5. #13126857	C₂	semidirect
6. #13126850	C₂	semidirect
7. #13126676	C₂	semidirect
8. #13126675	C₂	semidirect
9. #13126673	C₂	semidirect
10. #13126666	C₂	semidirect
11. #13126531	C₂	semidirect
12. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
13. #13126525	C₂	semidirect
14. #13126352	C₂	semidirect
15. #13126349	C₂	semidirect
16. #13126347	C₂	semidirect
17. #13126346	C₂	semidirect
18. #13125907	C₂	semidirect
19. #13125901	C₂	semidirect
20. #13125706	C₂	semidirect
21. #13125702	C₂	semidirect
22. #13125614	C₂	semidirect
23. #13125612	C₂	semidirect
24. #13125086	C₂	semidirect
25. #13125085	C₂	semidirect
26. #13124109	C₂	semidirect
27. #13124108	C₂	semidirect
28. C₂×#11718830	C₂	semidirect
29. D₁₃×#450	C₂	semidirect
30. #13123889	C₂	semidirect
31. D₄×C₁₃×SD₁₆	C₂	semidirect
34. C₂²×C₁₃×SD₁₆	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
38. #11719521	C₂²	semidirect
39. Q₈×C₂²⋊D₁₃	C₂²	semidirect
40. Q₈×C₂²⋊D₁₃	C₂²	semidirect
41. C₂×#88200	C₂²	semidirect
42. C₂×#88196	C₂²	semidirect
43. C₂²×#6106	C₂²	semidirect
48. C₂×#88169	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
50. C₂×SD₁₆×D₁₃	C₂²	semidirect
51. C₂×SD₁₆×D₁₃	C₂²	semidirect
53. #11719436	C₂²	semidirect
55. #11719432	C₂²	semidirect
59. #11719347	C₂²	semidirect
60. #11719344	C₂²	semidirect
63. #11719333	C₂²	semidirect
64. D₁₃×C₂²⋊Q₈	C₂²	semidirect
76. #11719288	C₂²	semidirect
77. #11719286	C₂²	semidirect
84. #11719246	C₂²	semidirect
85. C₁₃×#492	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#461	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
92. C₁₃×#448	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₄×C₁₃×SD₁₆	C₂²	semidirect
95. C₈×D₄×C₁₃	C₂²	semidirect
96. #11718889	C₂²	semidirect
97. #11718888	C₂²	semidirect
98. #11718879	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718876	C₂²	semidirect
101. C₂×#88072	C₂²	semidirect
102. #11718836	C₂²	semidirect
103. #11718835	C₂²	semidirect
104. #11718834	C₂²	semidirect
105. #11718834	C₂²	semidirect
106. #11718834	C₂²	semidirect
107. #11718834	C₂²	semidirect
108. #11718834	C₂²	semidirect
109. #11718832	C₂²	semidirect
110. #11718832	C₂²	semidirect
111. #11718832	C₂²	semidirect
112. #11718831	C₂²	semidirect
113. #11718831	C₂²	semidirect
117. #11718830	C₂²	semidirect
118. #11718830	C₂²	semidirect
119. #11718830	C₂²	semidirect
120. #11718830	C₂²	semidirect
121. #11718830	C₂²	semidirect
122. #11718830	C₂²	semidirect
123. #11718830	C₂²	semidirect
124. #11718830	C₂²	semidirect
125. #11718830	C₂²	semidirect
126. #11718828	C₂²	semidirect
127. #11718827	C₂²	semidirect
128. #11718827	C₂²	semidirect
129. #11718825	C₂²	semidirect
130. #11718824	C₂²	semidirect
131. #11718824	C₂²	semidirect
132. #11718823	C₂²	semidirect
133. SD₁₆×Dic₁₃	C₂²	semidirect
134. #11718777	C₂²	semidirect
135. #11718775	C₂²	semidirect
136. #11718774	C₂²	semidirect
137. C₂×#88061	C₂²	semidirect
138. #11718772	C₂²	semidirect
139. #11718771	C₂²	semidirect
140. C₈×C₂²⋊D₁₃	C₂²	semidirect
141. C₂×#88060	C₂²	semidirect
142. #11718747	C₂²	semidirect
143. #11718744	C₂²	semidirect
144. #11718736	C₂²	semidirect
145. #11718732	C₂²	semidirect
146. #11718712	C₂²	semidirect
147. #11718710	C₂²	semidirect
148. #11718708	C₂²	semidirect
149. #11718707	C₂²	semidirect
150. #11718703	C₂²	semidirect
151. #11718702	C₂²	semidirect
152. #11718696	C₂²	semidirect
153. #11718694	C₂²	semidirect
154. #11718689	C₂²	semidirect
155. #11718687	C₂²	semidirect
156. #11718679	C₂²	semidirect
157. #11718672	C₂²	semidirect
158. #11718670	C₂²	semidirect
159. #11718532	C₂²	semidirect
160. #11718528	C₂²	semidirect
161. #11718527	C₂²	semidirect
162. #11718523	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718506	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718497	C₂²	semidirect
167. #11718479	C₂²	semidirect
168. #11718478	C₂²	semidirect
169. #11718476	C₂²	semidirect
170. #11718476	C₂²	semidirect
171. #11718475	C₂²	semidirect
172. #11718474	C₂²	semidirect
173. #11718474	C₂²	semidirect
174. #11718473	C₂²	semidirect
175. #11718469	C₂²	semidirect
176. #11718468	C₂²	semidirect
177. #11718467	C₂²	semidirect
178. #11718449	C₂²	semidirect
179. #11718444	C₂²	semidirect
180. #11718440	C₂²	semidirect
182. #11718437	C₂²	semidirect
183. #11718435	C₂²	semidirect
184. #11718433	C₂²	semidirect
185. #11718431	C₂²	semidirect
186. D₁₃×#102	C₂²	semidirect
187. D₁₃×#102	C₂²	semidirect
188. #11718429	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718424	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718389	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₈×D₅₂	C₂²	semidirect
205. C₂²×Q₈×C₁₃	C₂³	semidirect
214. C₂×Q₈×D₁₃	C₂³	semidirect
244. C₂×C₁₃×SD₁₆	C₂³	semidirect
245. C₂×C₁₃×SD₁₆	C₂³	semidirect
246. C₂×C₁₃×SD₁₆	C₂³	semidirect
248. C₂²×C₈×C₁₃	C₂³	semidirect
250. C₁₃×C₄⋊Q₈	C₂³	semidirect
255. C₁₃×C₂²⋊Q₈	C₂³	semidirect
261. C₄×Q₈×C₁₃	C₂³	semidirect
278. #88200	C₂³	semidirect
279. #88200	C₂³	semidirect
280. Q₈×Dic₁₃	C₂³	semidirect
281. Q₈×Dic₁₃	C₂³	semidirect
285. #88198	C₂³	semidirect
286. C₂×#6107	C₂³	semidirect
287. C₂×#6107	C₂³	semidirect
288. C₂×#6107	C₂³	semidirect
326. C₂×#6105	C₂³	semidirect
339. #88180	C₂³	semidirect
345. #88178	C₂³	semidirect
347. C₂×#6099	C₂³	semidirect
353. C₂×Dic₅₂	C₂³	semidirect
356. C₂×#6094	C₂³	semidirect
359. C₂×C₈×D₁₃	C₂³	semidirect
379. #88146	C₂³	semidirect
383. #88144	C₂³	semidirect
428. #88124	C₂³	semidirect
429. C₄×Dic₂₆	C₂³	semidirect
430. C₁₃×#106	C₂³	semidirect
431. C₁₃×C₄⋊C₈	C₂³	semidirect
432. C₁₃×#103	C₂³	semidirect
433. C₁₃×#103	C₂³	semidirect
434. C₁₃×#103	C₂³	semidirect
437. C₁₃×#102	C₂³	semidirect
439. C₁₃×C₂²⋊C₈	C₂³	semidirect
440. C₄×C₈×C₁₃	C₂³	semidirect
441. #88075	C₂³	semidirect
442. #88075	C₂³	semidirect
443. #88075	C₂³	semidirect
450. #88072	C₂³	semidirect
451. #88072	C₂³	semidirect
452. #88072	C₂³	semidirect
454. C₂²⋊#1055	C₂³	semidirect
467. #88060	C₂³	semidirect
468. #88060	C₂³	semidirect
469. #88058	C₂³	semidirect
470. #88057	C₂³	semidirect
471. #88057	C₂³	semidirect
472. #88056	C₂³	semidirect
473. #88056	C₂³	semidirect
474. #88056	C₂³	semidirect
475. #88056	C₂³	semidirect
476. #88055	C₂³	semidirect
477. #88054	C₂³	semidirect
478. #88054	C₂³	semidirect
479. C₈×Dic₁₃	C₂³	semidirect
480. #88050	C₂³	semidirect
481. #88050	C₂³	semidirect
484. #88048	C₂³	semidirect
485. #88047	C₂³	semidirect
486. #88047	C₂³	semidirect
487. #88047	C₂³	semidirect
488. C₄⋊#1055	C₂³	semidirect
489. #88043	C₂³	semidirect
755. D₄×SD₁₆	D₁₃	semidirect
927. C₂²×SD₁₆	C₂×D₁₃	semidirect
928. C₂²×SD₁₆	C₂×D₁₃	semidirect
940. D₄×Q₈	C₂×D₁₃	semidirect
975. #492	C₂×D₁₃	semidirect
1010. #465	C₂×D₁₃	semidirect
1011. #465	C₂×D₁₃	semidirect
1019. #461	C₂×D₁₃	semidirect
1023. #460	C₂×D₁₃	semidirect
1052. #450	C₂×D₁₃	semidirect
1053. #450	C₂×D₁₃	semidirect
1058. #448	C₂×D₁₃	semidirect
1059. #448	C₂×D₁₃	semidirect
1067. C₄×SD₁₆	C₂×D₁₃	semidirect
1075. C₈×D₄	C₂×D₁₃	semidirect
1163. C₂²×Q₈	C₂²×D₁₃	semidirect
1214. C₂×SD₁₆	C₂²×D₁₃	semidirect
1215. C₂×SD₁₆	C₂²×D₁₃	semidirect
1216. C₂×SD₁₆	C₂²×D₁₃	semidirect
1224. C₂²×C₈	C₂²×D₁₃	semidirect
1232. C₄⋊Q₈	C₂²×D₁₃	semidirect
1301. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1342. C₄×Q₈	C₂²×D₁₃	semidirect
1386. #106	C₂²×D₁₃	semidirect
1390. C₄⋊C₈	C₂²×D₁₃	semidirect
1400. #103	C₂²×D₁₃	semidirect
1401. #103	C₂²×D₁₃	semidirect
1402. #103	C₂²×D₁₃	semidirect
1422. #102	C₂²×D₁₃	semidirect
1434. C₂²⋊C₈	C₂²×D₁₃	semidirect
1438. C₄×C₈	C₂²×D₁₃	semidirect
1703. C₁₃	#61631	semidirect

Maximal subgroups

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

subgroup	index
#13129077	2
#13128464	2
#13126864	2
#13126863	2
#13126857	2
#13126850	2
#13126676	2
#13126675	2
#13126673	2
#13126666	2
#13126531	2
SD₁₆×C₂²⋊D₁₃	2
#13126525	2
#13126352	2
#13126349	2
#13126347	2
#13126346	2
#13125907	2
#13125901	2
#13125706	2
#13125702	2
#13125614	2
#13125612	2
#13125086	2
#13125085	2
#13124109	2
#13124108	2
C₂×#11718830	2
D₁₃×#450	2
#13123889	2
D₄×C₁₃×SD₁₆	2
#61631	13