Subgroups — #16740510

Order 3328.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128584	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128464	C₂	1	1	yes	maximal, characteristic
3	#13127066	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127060	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127057	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127055	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126913	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126878	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126869	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126864	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126863	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126857	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126853	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126675	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126658	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125185	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124746	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124662	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124470	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124459	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124352	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123690	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123556	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123357	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718431	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3295	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	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic
36	#11719511	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₁₃	—	2	1	no	—
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88191	—	2	1	no	—
40	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
41	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#6094	C₂²	1	1	yes	characteristic, complemented
45	#11719437	C₂²	1	1	yes	characteristic, complemented
46	#11719434	C₂²	1	1	yes	characteristic, complemented
47	#11719422	C₂²	1	1	yes	characteristic
48	#11719420	C₂²	1	1	yes	characteristic
49	#11719401	—	2	1	no	—
50	#11719398	—	2	1	no	—
51	#11719347	C₂²	1	1	yes	characteristic, complemented
52	#11719346	C₂²	1	1	yes	characteristic, complemented
53	#11719345	—	2	1	no	—
54	#11719344	—	2	1	no	—
55	#11719342	—	2	1	no	—
56	#11719333	C₂²	1	1	yes	characteristic, complemented
57	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
58	#11719327	—	2	1	no	—
59	#11719317	C₂²	1	1	yes	characteristic
60	#11719315	—	2	1	no	—
61	#11719314	C₂²	1	1	yes	characteristic
62	#11719312	C₂²	1	1	yes	characteristic
63	#11719311	C₂²	1	1	yes	characteristic
64	#11719310	—	2	1	no	—
65	#11719296	—	2	1	no	—
66	#11719295	—	2	1	no	—
67	#11719294	—	2	1	no	—
68	D₁₃×#120	—	2	1	no	—
69	#11719286	C₂²	1	1	yes	characteristic, complemented
70	#11719277	C₂²	1	1	yes	characteristic, complemented
71	#11719261	—	2	1	no	—
72	#11719259	C₂²	1	1	yes	characteristic
73	#11719255	C₂²	1	1	yes	characteristic
74	#11719252	C₂²	1	1	yes	characteristic
75	#11719250	C₂²	1	1	yes	characteristic
76	#11719246	C₂²	1	1	yes	characteristic, complemented
77	#11719243	—	2	1	no	—
78	#11719218	C₂²	1	1	yes	characteristic, complemented
79	#11719216	C₂²	1	1	yes	characteristic, complemented
80	#11719209	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	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×#460	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	#11718879	C₂²	1	1	yes	characteristic, complemented
96	#11718879	C₂²	1	1	yes	characteristic, complemented
97	#11718876	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
99	#11718835	C₂²	1	1	yes	characteristic, complemented
100	#11718834	C₂²	1	1	yes	characteristic, complemented
101	#11718832	C₂²	1	1	yes	characteristic, complemented
102	#11718830	C₂²	1	1	yes	characteristic, complemented
103	#11718830	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic, complemented
105	#11718827	C₂²	1	1	yes	characteristic, complemented
106	#11718824	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718777	C₂²	1	1	yes	characteristic, complemented
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	#11718774	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718748	C₂²	1	1	yes	characteristic, complemented
116	#11718736	C₂²	1	1	yes	characteristic, complemented
117	#11718732	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718708	C₂²	1	1	yes	characteristic, complemented
121	#11718707	C₂²	1	1	yes	characteristic, complemented
122	#11718703	C₂²	1	1	yes	characteristic, complemented
123	#11718702	C₂²	1	1	yes	characteristic, complemented
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718694	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718631	C₂²	1	1	yes	characteristic, complemented
132	#11718628	C₂²	1	1	yes	characteristic, complemented
133	#11718627	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
135	#11718532	C₂²	1	1	yes	characteristic, complemented
136	#11718531	C₂²	1	1	yes	characteristic, complemented
137	#11718529	C₂²	1	1	yes	characteristic, complemented
138	#11718528	C₂²	1	1	yes	characteristic, complemented
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718527	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718521	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718497	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718473	C₂²	1	1	yes	characteristic, complemented
154	#11718463	C₂²	1	1	yes	characteristic, complemented
155	#11718444	C₂²	1	1	yes	characteristic, complemented
156	#11718441	C₂²	1	1	yes	characteristic, complemented
157	#11718441	C₂²	1	1	yes	characteristic, complemented
158	#11718440	C₂²	1	1	yes	characteristic, complemented
159	#11718440	C₂²	1	1	yes	characteristic, complemented
160	#11718440	C₂²	1	1	yes	characteristic, complemented
161	#11718437	C₂²	1	1	yes	characteristic, complemented
162	#11718437	C₂²	1	1	yes	characteristic, complemented
163	#11718437	C₂²	1	1	yes	characteristic, complemented
164	#11718435	C₂²	1	1	yes	characteristic, complemented
165	#11718433	C₂²	1	1	yes	characteristic, complemented
166	#11718433	C₂²	1	1	yes	characteristic, complemented
167	#11718433	C₂²	1	1	yes	characteristic, complemented
168	#11718432	C₂²	1	1	yes	characteristic, complemented
169	#11718432	C₂²	1	1	yes	characteristic, complemented
170	#11718431	C₂²	1	1	yes	characteristic
171	#11718431	C₂²	1	1	yes	characteristic
172	#11718431	C₂²	1	1	yes	characteristic, complemented
173	#11718431	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	#11718431	C₂²	1	1	yes	characteristic, complemented
177	#11718431	C₂²	1	1	yes	characteristic, complemented
178	#11718431	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic
180	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
182	#11718429	C₂²	1	1	yes	characteristic, complemented
183	#11718428	C₂²	1	1	yes	characteristic, complemented
184	#11718426	C₂²	1	1	yes	characteristic, complemented
185	#11718425	C₂²	1	1	yes	characteristic, complemented
186	#11718424	C₂²	1	1	yes	characteristic, complemented
187	#11718423	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718420	C₂²	1	1	yes	characteristic, complemented
190	#11718418	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	#11718390	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	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718349	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	#88251	—	2	4	no	—
213	#88251	—	4	2	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	—	2	4	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
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	—	4	2	no	—
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂²×D₅₂	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
239	C₁₃×#127	C₂³	1	1	yes	characteristic
240	C₁₃×#125	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#120	—	2	1	no	—
249	C₁₃×#120	—	2	1	no	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
256	#88207	—	2	1	no	—
257	#88207	—	2	1	no	—
258	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
259	#88201	—	2	1	no	—
260	#88200	—	2	1	no	—
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic, complemented
263	Q₈×Dic₁₃	—	2	1	no	—
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
265	#88198	—	2	1	no	—
266	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
267	C₂×#6106	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	#88194	—	2	1	no	—
270	#88194	C₂³	1	1	yes	characteristic
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	D₄	1	1	yes	characteristic
276	#88192	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	C₂³	1	1	yes	characteristic
279	#88192	C₂³	1	1	yes	characteristic
280	#88191	—	2	1	no	—
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	D₄	1	1	yes	characteristic
291	#88190	C₂³	1	1	yes	characteristic
292	#88189	—	2	1	no	—
293	#88189	—	2	1	no	—
294	D₄×Dic₁₃	—	2	1	no	—
295	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×#6105	C₂³	1	1	yes	characteristic
297	C₂×#6105	C₂³	1	1	yes	characteristic
298	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
299	#88184	—	2	1	no	—
300	#88184	C₂³	1	1	yes	characteristic
301	#88183	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	—	2	1	no	—
304	C₄×C₂²⋊D₁₃	—	2	1	no	—
305	C₄×C₂²⋊D₁₃	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
307	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
308	C₂×#6103	—	2	1	no	—
309	C₂×#6103	—	2	1	no	—
310	C₂×#6103	—	2	1	no	—
311	#88180	—	2	1	no	—
312	#88180	C₂³	1	1	yes	characteristic, complemented
313	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
314	#88178	—	2	1	no	—
315	#88178	C₂³	1	1	yes	characteristic
316	#88178	C₂³	1	1	yes	characteristic
317	#88178	C₂³	1	1	yes	characteristic, complemented
318	C₂×C₄×Dic₁₃	—	2	1	no	—
319	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
320	C₂²×#1055	C₂³	1	1	yes	characteristic
321	#88169	—	4	2	no	—
322	SD₁₆×D₁₃	—	2	4	no	—
323	SD₁₆×D₁₃	—	4	2	no	—
324	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
325	C₂×#6095	C₂³	1	1	yes	characteristic
326	C₂×#6095	C₂³	1	1	yes	characteristic
327	#88155	—	4	2	no	—
328	C₂×#6094	—	4	2	no	—
329	C₂×#6094	C₂³	1	1	yes	characteristic
330	C₂×#6094	C₂³	1	1	yes	characteristic
331	C₂×#6094	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
337	#88152	—	2	1	no	—
338	#88152	—	2	1	no	—
339	#88152	—	2	1	no	—
340	#88152	—	2	1	no	—
341	#88152	—	2	1	no	—
342	#88151	C₂³	1	1	yes	characteristic
343	#88151	C₂³	1	1	yes	characteristic
344	#88151	C₂³	1	1	yes	characteristic, complemented
345	#88150	—	2	1	no	—
346	#88150	—	2	1	no	—
347	#88150	—	2	1	no	—
348	#88150	D₄	1	1	yes	characteristic
349	#88149	C₂³	1	1	yes	characteristic
350	#88148	—	2	1	no	—
351	#88148	—	2	1	no	—
352	#88148	—	2	1	no	—
353	#88148	D₄	1	1	yes	characteristic
354	#88147	—	2	1	no	—
355	#88147	C₂³	1	1	yes	characteristic
356	#88146	—	2	1	no	—
357	#88146	—	2	1	no	—
358	#88146	—	2	1	no	—
359	#88146	C₂³	1	1	yes	characteristic
360	#88146	C₂³	1	1	yes	characteristic
361	#88146	C₂³	1	1	yes	characteristic
362	#88146	C₂³	1	1	yes	characteristic
363	#88146	C₂³	1	1	yes	characteristic
364	#88146	C₂³	1	1	yes	characteristic, complemented
365	C₄⋊C₄×D₁₃	—	2	1	no	—
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
368	#88144	—	2	1	no	—
369	#88144	C₂³	1	1	yes	characteristic, complemented
370	#88143	—	2	1	no	—
371	#88143	—	2	1	no	—
372	#88143	—	2	1	no	—
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	C₂³	1	1	yes	characteristic, complemented
377	#88141	—	2	1	no	—
378	#88141	—	2	1	no	—
379	#88141	—	2	1	no	—
380	#88141	C₂³	1	1	yes	characteristic, complemented
381	#88140	—	2	1	no	—
382	#88140	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	D₄	1	1	yes	characteristic
389	#88137	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	D₄	1	1	yes	characteristic
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	D₄	1	1	yes	characteristic
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	#88133	—	2	1	no	—
404	#88133	—	2	1	no	—
405	#88132	—	2	1	no	—
406	#88132	D₄	1	1	yes	characteristic
407	#88131	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88130	—	2	1	no	—
410	#88129	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	#88124	C₂³	1	1	yes	characteristic, complemented
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
419	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
421	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
423	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
436	#88075	C₂³	1	1	yes	characteristic, complemented
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic, complemented
444	#88072	C₂³	1	1	yes	characteristic, complemented
445	#88072	C₂³	1	1	yes	characteristic, complemented
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic, complemented
457	#88060	C₂³	1	1	yes	characteristic, complemented
458	#88058	C₂³	1	1	yes	characteristic, complemented
459	#88057	C₂³	1	1	yes	characteristic, complemented
460	#88057	C₂³	1	1	yes	characteristic, complemented
461	#88056	C₂³	1	1	yes	characteristic, complemented
462	#88056	C₂³	1	1	yes	characteristic, complemented
463	#88056	C₂³	1	1	yes	characteristic, complemented
464	#88056	C₂³	1	1	yes	characteristic, complemented
465	#88055	C₂³	1	1	yes	characteristic, complemented
466	#88054	C₂³	1	1	yes	characteristic, complemented
467	#88054	C₂³	1	1	yes	characteristic, complemented
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
469	#88050	C₂³	1	1	yes	characteristic, complemented
470	#88050	C₂³	1	1	yes	characteristic, complemented
471	#88050	C₂³	1	1	yes	characteristic, complemented
472	#88050	C₂³	1	1	yes	characteristic, complemented
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic, complemented
480	#88047	C₂³	1	1	yes	characteristic, complemented
481	#88047	C₂³	1	1	yes	characteristic, complemented
482	#88047	C₂³	1	1	yes	characteristic, complemented
483	#88047	C₂³	1	1	yes	characteristic, complemented
484	#88047	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
486	#88043	C₂³	1	1	yes	characteristic, complemented
487	#61184	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂⁴×C₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	4	4	no	—
497	C₂³×D₁₃	—	8	2	no	—
498	C₂³×D₁₃	—	8	2	no	—
499	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	—	2	2	no	—
503	C₂×D₄×C₁₃	—	2	2	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	—	8	2	no	—
513	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	—	4	4	no	—
537	C₂×C₂²⋊D₁₃	—	4	4	no	—
538	C₂×C₂²⋊D₁₃	—	8	2	no	—
539	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
548	Q₈×D₁₃	—	2	2	no	—
549	Q₈×D₁₃	—	2	2	no	—
550	#6129	—	2	2	no	—
551	#6129	—	2	2	no	—
552	#6129	—	2	2	no	—
553	#6129	—	4	1	no	—
554	#6129	—	4	4	no	—
555	D₄×D₁₃	—	2	2	no	—
556	D₄×D₁₃	—	2	2	no	—
557	D₄×D₁₃	—	2	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	2	2	no	—
560	D₄×D₁₃	—	2	2	no	—
561	D₄×D₁₃	—	4	1	no	—
562	D₄×D₁₃	—	4	1	no	—
563	D₄×D₁₃	—	4	1	no	—
564	D₄×D₁₃	—	4	4	no	—
565	D₄×D₁₃	—	4	4	no	—
566	D₄×D₁₃	—	4	4	no	—
567	D₄×D₁₃	—	8	2	no	—
568	D₄×D₁₃	—	8	2	no	—
569	D₄×D₁₃	#41	1	4	yes	—
570	#6127	—	2	2	no	—
571	#6127	—	2	2	no	—
572	#6127	—	2	2	no	—
573	#6127	—	4	1	no	—
574	C₂×D₅₂	—	2	2	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	4	1	no	—
578	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
579	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
580	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
581	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₁₃	—	2	2	no	—
583	C₂×C₄×D₁₃	—	2	2	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
600	C₁₃×SD₁₆	—	2	2	no	—
601	C₁₃×SD₁₆	—	4	1	no	—
602	C₁₃×SD₁₆	—	4	1	no	—
603	C₂×C₈×C₁₃	—	4	1	no	—
604	C₂×C₈×C₁₃	—	4	1	no	—
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₄²×C₁₃	—	2	1	no	—
628	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
640	#6107	—	4	1	no	—
641	#6106	—	2	2	no	—
642	#6106	—	4	1	no	—
643	#6105	—	2	2	no	—
644	#6105	—	4	1	no	—
645	#6105	—	4	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	C₂×D₄	1	1	yes	characteristic
664	#6103	C₂×D₄	1	1	yes	characteristic
665	#6103	C₂×D₄	1	1	yes	characteristic
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	—	2	1	no	—
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	—	2	1	no	—
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	C₂×D₄	1	1	yes	characteristic
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
696	#6101	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	—	2	1	no	—
706	C₄×Dic₁₃	—	2	1	no	—
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	Dic₅₂	—	4	1	no	—
715	#6095	—	2	2	no	—
716	#6095	—	4	1	no	—
717	#6094	—	2	2	no	—
718	#6094	—	2	2	no	—
719	#6094	—	4	1	no	—
720	#6094	—	4	1	no	—
721	#6094	—	4	1	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	2	2	no	—
724	C₈×D₁₃	—	4	1	no	—
725	#3495	—	13	1	no	—
726	#3484	—	13	1	no	—
727	#3324	—	13	1	no	—
728	#3324	—	13	1	no	—
729	#3323	—	13	1	no	—
730	#3323	—	13	1	no	—
731	#3314	—	13	1	no	—
732	#3314	—	13	1	no	—
733	#3311	—	13	1	no	—
734	#3311	—	13	1	no	—
735	#3310	—	13	1	no	—
736	#3310	—	13	1	no	—
737	#3310	—	13	1	no	—
738	#3310	—	13	1	no	—
739	#3296	—	13	1	no	—
740	#3296	—	13	1	no	—
741	#3295	—	13	1	no	—
742	#3295	D₁₃	1	1	yes	characteristic, complemented
743	#3136	—	13	1	no	—
744	#3096	—	13	1	no	—
745	#3091	—	13	1	no	—
746	#3081	—	13	1	no	—
747	#3057	—	13	1	no	—
748	#3056	—	13	1	no	—
749	#3043	—	13	1	no	—
750	#3009	—	13	1	no	—
751	C₂×#450	—	13	1	no	—
752	#2949	—	13	1	no	—
753	#2933	—	13	1	no	—
754	#2897	—	13	1	no	—
755	C₂×#418	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	—	2	1	no	—
759	C₂³×C₁₃	—	4	2	no	—
760	C₂³×C₁₃	—	4	2	no	—
761	C₂³×C₁₃	—	4	2	no	—
762	C₂³×C₁₃	—	8	1	no	—
763	C₂³×C₁₃	—	8	1	no	—
764	C₂³×C₁₃	—	8	1	no	—
765	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂²×D₁₃	—	2	2	no	—
768	C₂²×D₁₃	—	2	1	no	—
769	C₂²×D₁₃	—	2	2	no	—
770	C₂²×D₁₃	—	2	4	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	4	1	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	4	2	no	—
780	C₂²×D₁₃	—	4	2	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	—	8	1	no	—
783	C₂²×D₁₃	—	8	1	no	—
784	C₂²×D₁₃	—	8	1	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	16	no	—
791	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	8	1	no	—
797	D₄×C₁₃	—	2	2	no	—
798	D₄×C₁₃	—	2	1	no	—
799	D₄×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	4	2	no	—
804	D₄×C₁₃	—	4	2	no	—
805	D₄×C₁₃	—	4	2	no	—
806	D₄×C₁₃	—	8	1	no	—
807	D₄×C₁₃	—	8	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	C₂×#41	1	2	yes	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	—	8	1	no	—
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
827	C₂²⋊D₁₃	—	2	2	no	—
828	C₂²⋊D₁₃	—	2	2	no	—
829	C₂²⋊D₁₃	—	2	2	no	—
830	C₂²⋊D₁₃	—	2	4	no	—
831	C₂²⋊D₁₃	—	4	1	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂×Dic₁₃	—	2	2	no	—
845	C₂×Dic₁₃	—	2	1	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	4	2	no	—
854	C₂×Dic₁₃	—	8	1	no	—
855	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	D₅₂	—	2	2	no	—
861	D₅₂	—	2	1	no	—
862	D₅₂	—	2	1	no	—
863	D₅₂	—	2	1	no	—
864	D₅₂	—	4	1	no	—
865	D₅₂	—	4	2	no	—
866	D₅₂	—	8	1	no	—
867	D₅₂	C₂×#41	1	2	yes	—
868	C₄×D₁₃	—	2	2	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	2	1	no	—
871	C₄×D₁₃	—	2	1	no	—
872	C₄×D₁₃	—	2	1	no	—
873	C₄×D₁₃	—	2	2	no	—
874	C₄×D₁₃	—	4	2	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	8	1	no	—
877	C₄×D₁₃	—	8	1	no	—
878	C₄×D₁₃	—	8	1	no	—
879	C₄×D₁₃	—	8	1	no	—
880	C₄×D₁₃	C₂×#41	1	2	yes	—
881	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
882	Dic₂₆	—	2	2	no	—
883	Dic₂₆	—	2	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	8	1	no	—
889	C₈×C₁₃	—	2	1	no	—
890	C₈×C₁₃	—	2	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	#1055	—	2	1	no	—
894	#1055	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	C₂×H(5,𝔽₂)	—	13	1	no	—
898	C₂³×D₄	—	13	1	no	—
899	C₂×#137	—	13	1	no	—
900	C₂²×SD₁₆	—	13	1	no	—
901	C₂²×SD₁₆	—	13	1	no	—
902	C₂×#131	—	13	1	no	—
903	C₂²×M₁₆	—	13	1	no	—
904	#556	—	13	1	no	—
905	#556	—	13	1	no	—
906	#554	—	13	1	no	—
907	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#552	—	13	1	no	—
909	#552	—	13	1	no	—
910	#552	—	13	1	no	—
911	#552	—	13	1	no	—
912	#552	—	26	1	no	—
913	#552	—	26	1	no	—
914	#551	—	26	1	no	—
915	#551	—	26	1	no	—
916	#546	—	13	1	no	—
917	#546	—	13	1	no	—
918	#546	—	13	1	no	—
919	#546	—	13	1	no	—
920	#546	—	26	1	no	—
921	#546	—	26	1	no	—
922	D₄²	—	13	1	no	—
923	D₄²	—	13	1	no	—
924	D₄²	—	13	1	no	—
925	D₄²	—	26	1	no	—
926	D₄²	—	26	1	no	—
927	D₄²	C₂×D₁₃	1	1	yes	characteristic
928	#544	—	13	1	no	—
929	#542	—	26	1	no	—
930	#541	—	26	1	no	—
931	#536	—	13	1	no	—
932	#535	—	13	1	no	—
933	#535	—	13	1	no	—
934	#534	—	26	1	no	—
935	#534	—	26	1	no	—
936	#533	—	26	1	no	—
937	#529	—	26	1	no	—
938	#525	—	13	1	no	—
939	#525	—	13	1	no	—
940	C₂×C₂²⋊Q₈	—	13	1	no	—
941	C₂×#120	—	26	1	no	—
942	C₂×#120	—	26	1	no	—
943	#520	—	13	1	no	—
944	#519	—	13	1	no	—
945	#518	—	13	1	no	—
946	C₂×#117	—	13	1	no	—
947	#490	—	13	1	no	—
948	#490	—	13	1	no	—
949	#489	—	13	1	no	—
950	#489	—	13	1	no	—
951	#488	—	13	1	no	—
952	#488	—	13	1	no	—
953	#486	—	13	1	no	—
954	#486	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#485	—	13	1	no	—
956	#485	—	13	1	no	—
957	#484	—	13	1	no	—
958	#483	—	13	1	no	—
959	#482	—	13	1	no	—
960	#482	—	13	1	no	—
961	#482	—	13	1	no	—
962	#482	—	13	1	no	—
963	#482	—	13	1	no	—
964	#482	—	13	1	no	—
965	#481	—	13	1	no	—
966	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#480	—	13	1	no	—
969	#480	—	13	1	no	—
970	#480	—	13	1	no	—
971	#478	—	13	1	no	—
972	#478	—	13	1	no	—
973	#478	—	13	1	no	—
974	#478	—	13	1	no	—
975	#476	—	13	1	no	—
976	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#474	—	13	1	no	—
978	#474	—	13	1	no	—
979	#470	—	13	1	no	—
980	#470	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#468	—	13	1	no	—
985	#468	—	13	1	no	—
986	#468	—	13	1	no	—
987	#467	—	13	1	no	—
988	#467	—	13	1	no	—
989	#465	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	—	13	1	no	—
992	#465	—	13	1	no	—
993	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
994	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#464	—	13	1	no	—
996	#464	—	13	1	no	—
997	#464	—	13	1	no	—
998	#464	—	13	1	no	—
999	#460	—	13	1	no	—
1000	#460	—	13	1	no	—
1001	#460	—	13	1	no	—
1002	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#452	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#450	—	13	1	no	—
1008	#450	—	13	1	no	—
1009	#450	—	13	1	no	—
1010	#450	—	13	1	no	—
1011	#450	—	13	1	no	—
1012	#450	—	13	1	no	—
1013	#450	—	13	1	no	—
1014	#450	—	13	1	no	—
1015	#450	—	13	1	no	—
1016	#450	—	13	1	no	—
1017	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	#440	—	13	1	no	—
1020	#440	—	13	1	no	—
1021	#440	—	13	1	no	—
1022	#440	—	13	1	no	—
1023	C₄×SD₁₆	—	13	1	no	—
1024	C₄×SD₁₆	—	13	1	no	—
1025	C₄×SD₁₆	—	13	1	no	—
1026	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#436	—	13	1	no	—
1028	#436	—	13	1	no	—
1029	#435	—	13	1	no	—
1030	#435	—	13	1	no	—
1031	#435	—	13	1	no	—
1032	#435	—	13	1	no	—
1033	C₈×D₄	—	13	1	no	—
1034	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	#428	—	13	1	no	—
1036	#427	—	13	1	no	—
1037	#427	—	13	1	no	—
1038	#424	—	13	1	no	—
1039	#419	—	13	1	no	—
1040	#418	—	13	1	no	—
1041	#418	—	13	1	no	—
1042	#418	—	13	1	no	—
1043	#418	—	13	1	no	—
1044	#418	—	13	1	no	—
1045	#418	—	13	1	no	—
1046	#418	—	13	1	no	—
1047	#418	—	13	1	no	—
1048	#418	—	13	1	no	—
1049	#418	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#417	—	13	1	no	—
1052	#417	—	13	1	no	—
1053	#416	—	13	1	no	—
1054	#416	—	13	1	no	—
1055	#416	—	13	1	no	—
1056	#416	—	13	1	no	—
1057	C₂×#102	—	13	1	no	—
1058	C₂×#102	—	13	1	no	—
1059	C₂×#102	—	13	1	no	—
1060	C₂×#102	—	13	1	no	—
1061	C₂×#102	—	13	1	no	—
1062	C₂×#102	—	13	1	no	—
1063	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	#408	—	13	1	no	—
1066	C₂×C₂²⋊C₈	—	13	1	no	—
1067	#405	—	13	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	2	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	8	4	no	—
1083	C₂²×C₁₃	—	16	2	no	—
1084	C₂²×C₁₃	#577	1	2	yes	—
1085	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	2	1	no	—
1088	C₂×D₁₃	—	2	1	no	—
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	2	1	no	—
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	2	2	no	—
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	4	4	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	4	1	no	—
1099	C₂×D₁₃	—	4	1	no	—
1100	C₂×D₁₃	—	4	1	no	—
1101	C₂×D₁₃	—	8	4	no	—
1102	C₂×D₁₃	—	8	4	no	—
1103	C₂×D₁₃	—	8	4	no	—
1104	C₂×D₁₃	—	8	4	no	—
1105	C₂×D₁₃	—	8	4	no	—
1106	C₂×D₁₃	—	16	2	no	—
1107	C₂×D₁₃	#546	1	2	yes	—
1108	C₄×C₁₃	—	2	1	no	—
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	4	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	—	4	1	no	—
1115	C₄×C₁₃	—	4	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1118	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1119	Dic₁₃	—	2	1	no	—
1120	Dic₁₃	—	2	1	no	—
1121	Dic₁₃	—	2	1	no	—
1122	Dic₁₃	—	2	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	Dic₁₃	—	4	1	no	—
1125	Dic₁₃	—	4	1	no	—
1126	Dic₁₃	—	4	1	no	—
1127	Dic₁₃	—	4	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	#546	1	2	yes	—
1130	C₂⁵	—	26	1	no	—
1131	H(5,𝔽₂)	—	26	4	no	—
1132	H(5,𝔽₂)	—	52	2	no	—
1133	C₂×#41	—	13	1	no	—
1134	C₂×#41	—	13	1	no	—
1135	C₂×#41	—	13	1	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	26	1	no	—
1138	C₂²×Q₈	—	13	1	no	—
1139	C₂²×D₄	—	2	1	no	—
1140	C₂²×D₄	—	13	1	no	—
1141	C₂²×D₄	—	13	1	no	—
1142	C₂²×D₄	—	13	1	no	—
1143	C₂²×D₄	—	13	1	no	—
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	13	1	no	—
1146	C₂²×D₄	—	26	1	no	—
1147	C₂²×D₄	—	26	1	no	—
1148	C₂²×D₄	—	26	1	no	—
1149	C₂²×D₄	—	26	4	no	—
1150	C₂²×D₄	—	26	1	no	—
1151	C₂²×D₄	—	26	1	no	—
1152	C₂²×D₄	—	26	1	no	—
1153	C₂²×D₄	—	26	1	no	—
1154	C₂²×D₄	—	26	1	no	—
1155	C₂²×D₄	—	26	1	no	—
1156	C₂²×D₄	—	52	2	no	—
1157	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂³×C₄	—	13	1	no	—
1160	#137	—	52	2	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	13	1	no	—
1164	C₂×SD₁₆	—	13	1	no	—
1165	C₂×SD₁₆	—	13	1	no	—
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	26	4	no	—
1171	C₂×SD₁₆	—	52	2	no	—
1172	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1175	#131	—	52	2	no	—
1176	C₂×M₁₆	—	13	1	no	—
1177	C₂×M₁₆	—	13	1	no	—
1178	C₂×M₁₆	—	13	1	no	—
1179	C₂×M₁₆	—	13	1	no	—
1180	C₂×M₁₆	—	13	1	no	—
1181	C₂×M₁₆	—	13	1	no	—
1182	C₂×M₁₆	—	52	2	no	—
1183	C₂²×C₈	—	13	1	no	—
1184	C₂²×C₈	—	13	1	no	—
1185	C₂²×C₈	—	13	1	no	—
1186	C₂²×C₈	—	13	1	no	—
1187	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1189	C₄⋊Q₈	—	13	1	no	—
1190	C₄⋊Q₈	—	26	1	no	—
1191	C₄⋊Q₈	—	26	1	no	—
1192	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1193	#127	—	13	1	no	—
1194	#127	—	26	1	no	—
1195	#127	C₂²×D₁₃	1	1	yes	characteristic
1196	#126	—	26	1	no	—
1197	#126	—	26	1	no	—
1198	#126	—	26	1	no	—
1199	#126	—	26	1	no	—
1200	#126	—	26	1	no	—
1201	#126	—	26	1	no	—
1202	#126	—	26	1	no	—
1203	#126	—	26	1	no	—
1204	#125	—	2	1	no	—
1205	#125	—	13	1	no	—
1206	#125	—	13	1	no	—
1207	#125	—	26	1	no	—
1208	#125	—	26	1	no	—
1209	#125	—	26	1	no	—
1210	#125	—	26	1	no	—
1211	#125	—	26	1	no	—
1212	#125	—	26	1	no	—
1213	#124	—	13	1	no	—
1214	#124	—	13	1	no	—
1215	#124	—	26	1	no	—
1216	#124	—	26	1	no	—
1217	#124	—	26	1	no	—
1218	#124	—	26	1	no	—
1219	#123	—	13	1	no	—
1220	#123	—	13	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	—	26	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	C₂²⋊Q₈	—	2	1	no	—
1233	C₂²⋊Q₈	—	2	1	no	—
1234	C₂²⋊Q₈	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1252	#121	—	2	1	no	—
1253	#121	—	13	1	no	—
1254	#121	—	13	1	no	—
1255	#121	—	13	1	no	—
1256	#121	—	13	1	no	—
1257	#121	—	13	1	no	—
1258	#121	—	13	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	—	26	1	no	—
1267	#121	—	26	1	no	—
1268	#121	C₂²×D₁₃	1	1	yes	characteristic
1269	#121	C₂²×D₁₃	1	1	yes	characteristic
1270	#120	—	2	1	no	—
1271	#120	—	2	1	no	—
1272	#120	—	13	1	no	—
1273	#120	—	13	1	no	—
1274	#120	—	26	1	no	—
1275	#120	—	26	1	no	—
1276	#120	—	26	1	no	—
1277	#120	—	26	1	no	—
1278	#120	—	26	1	no	—
1279	#120	—	26	1	no	—
1280	#120	—	26	1	no	—
1281	#120	—	26	1	no	—
1282	#120	—	26	1	no	—
1283	#120	—	26	1	no	—
1284	#120	—	26	1	no	—
1285	#120	—	26	1	no	—
1286	#120	—	26	1	no	—
1287	#120	—	26	1	no	—
1288	#120	—	26	1	no	—
1289	C₄×Q₈	—	13	1	no	—
1290	C₄×Q₈	—	13	1	no	—
1291	C₄×Q₈	—	13	1	no	—
1292	C₄×Q₈	—	26	1	no	—
1293	C₄×Q₈	—	26	1	no	—
1294	C₄×Q₈	—	26	1	no	—
1295	C₄×Q₈	—	26	1	no	—
1296	C₄×Q₈	—	26	1	no	—
1297	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1298	C₄×D₄	—	2	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	13	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1315	#117	—	13	1	no	—
1316	#117	—	13	1	no	—
1317	#117	—	13	1	no	—
1318	#117	—	13	1	no	—
1319	#117	—	13	1	no	—
1320	#117	—	13	1	no	—
1321	#117	—	13	1	no	—
1322	#117	—	13	1	no	—
1323	#117	—	26	1	no	—
1324	#117	—	26	1	no	—
1325	#117	—	26	1	no	—
1326	#117	—	26	1	no	—
1327	#117	—	26	1	no	—
1328	#117	—	26	1	no	—
1329	#117	—	26	1	no	—
1330	#117	—	26	1	no	—
1331	C₂×C₄⋊C₄	—	13	1	no	—
1332	C₂×C₄⋊C₄	—	13	1	no	—
1333	C₂×C₄⋊C₄	—	13	1	no	—
1334	C₂×C₄⋊C₄	—	26	1	no	—
1335	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1336	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1337	C₂×C₂²⋊C₄	—	26	1	no	—
1338	C₂×C₂²⋊C₄	—	26	1	no	—
1339	C₂×C₂²⋊C₄	—	26	1	no	—
1340	C₂×C₂²⋊C₄	—	26	1	no	—
1341	C₂×C₂²⋊C₄	—	26	1	no	—
1342	C₂×C₂²⋊C₄	—	26	1	no	—
1343	C₂×C₂²⋊C₄	—	26	1	no	—
1344	C₂×C₂²⋊C₄	—	26	1	no	—
1345	C₂×C₄²	—	26	1	no	—
1346	#107	—	13	1	no	—
1347	#107	—	13	1	no	—
1348	#107	—	13	1	no	—
1349	#107	—	13	1	no	—
1350	#107	—	13	1	no	—
1351	#107	—	13	1	no	—
1352	#106	—	13	1	no	—
1353	#106	—	13	1	no	—
1354	#106	—	13	1	no	—
1355	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1356	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1357	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1358	C₄⋊C₈	—	13	1	no	—
1359	C₄⋊C₈	—	13	1	no	—
1360	C₄⋊C₈	—	13	1	no	—
1361	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	C₂²×D₁₃	1	1	yes	characteristic
1394	#102	C₂²×D₁₃	1	1	yes	characteristic
1395	#102	C₂²×D₁₃	1	1	yes	characteristic
1396	#102	C₂²×D₁₃	1	1	yes	characteristic
1397	#102	C₂²×D₁₃	1	1	yes	characteristic
1398	#102	C₂²×D₁₃	1	1	yes	characteristic
1399	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1400	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1401	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1402	C₂²⋊C₈	—	13	1	no	—
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1410	#97	—	13	1	no	—
1411	#97	—	13	1	no	—
1412	C₄×C₈	—	13	1	no	—
1413	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1414	C₂×C₁₃	—	2	2	no	—
1415	C₂×C₁₃	—	4	2	no	—
1416	C₂×C₁₃	—	4	1	no	—
1417	C₂×C₁₃	—	8	1	no	—
1418	C₂×C₁₃	—	8	1	no	—
1419	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1420	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1421	C₂×C₁₃	#3585	1	1	yes	characteristic
1422	D₁₃	—	2	2	no	—
1423	D₁₃	—	4	1	no	—
1424	D₁₃	—	4	1	no	—
1425	D₁₃	—	4	2	no	—
1426	D₁₃	—	8	1	no	—
1427	C₂⁴	—	2	1	no	—
1428	C₂⁴	—	2	1	no	—
1429	C₂⁴	—	13	1	no	—
1430	C₂⁴	—	26	1	no	—
1431	C₂⁴	—	26	1	no	—
1432	C₂⁴	—	26	1	no	—
1433	C₂⁴	—	26	1	no	—
1434	C₂⁴	—	26	1	no	—
1435	C₂⁴	—	26	1	no	—
1436	C₂⁴	—	52	4	no	—
1437	C₂⁴	—	104	2	no	—
1438	C₂⁴	—	104	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	26	2	no	—
1441	#41	—	26	2	no	—
1442	#41	—	26	2	no	—
1443	#41	—	26	2	no	—
1444	#41	—	26	2	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	C₂×Q₈	—	2	1	no	—
1449	C₂×Q₈	—	13	1	no	—
1450	C₂×Q₈	—	13	1	no	—
1451	C₂×Q₈	—	13	1	no	—
1452	C₂×Q₈	—	26	1	no	—
1453	C₂×Q₈	—	26	1	no	—
1454	C₂×Q₈	—	26	2	no	—
1455	C₂×Q₈	—	26	2	no	—
1456	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1457	C₂×D₄	—	2	2	no	—
1458	C₂×D₄	—	2	2	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	4	1	no	—
1466	C₂×D₄	—	4	1	no	—
1467	C₂×D₄	—	8	2	no	—
1468	C₂×D₄	—	13	4	no	—
1469	C₂×D₄	—	13	1	no	—
1470	C₂×D₄	—	13	1	no	—
1471	C₂×D₄	—	13	1	no	—
1472	C₂×D₄	—	13	1	no	—
1473	C₂×D₄	—	13	1	no	—
1474	C₂×D₄	—	13	1	no	—
1475	C₂×D₄	—	13	1	no	—
1476	C₂×D₄	—	13	1	no	—
1477	C₂×D₄	—	26	2	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	2	no	—
1480	C₂×D₄	—	26	2	no	—
1481	C₂×D₄	—	26	2	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	2	no	—
1490	C₂×D₄	—	26	2	no	—
1491	C₂×D₄	—	26	2	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	52	1	no	—
1500	C₂×D₄	—	52	1	no	—
1501	C₂×D₄	—	52	1	no	—
1502	C₂×D₄	—	52	1	no	—
1503	C₂×D₄	—	52	4	no	—
1504	C₂×D₄	—	52	4	no	—
1505	C₂×D₄	—	52	4	no	—
1506	C₂×D₄	—	52	4	no	—
1507	C₂×D₄	—	52	4	no	—
1508	C₂×D₄	—	52	4	no	—
1509	C₂×D₄	—	104	2	no	—
1510	C₂×D₄	—	104	2	no	—
1511	C₂×D₄	—	104	2	no	—
1512	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1513	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1514	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1515	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	13	1	no	—
1520	C₂²×C₄	—	13	1	no	—
1521	C₂²×C₄	—	13	1	no	—
1522	C₂²×C₄	—	13	1	no	—
1523	C₂²×C₄	—	13	1	no	—
1524	C₂²×C₄	—	13	1	no	—
1525	C₂²×C₄	—	26	2	no	—
1526	C₂²×C₄	—	26	2	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	26	1	no	—
1533	C₂²×C₄	—	26	1	no	—
1534	C₂²×C₄	—	26	1	no	—
1535	C₂²×C₄	—	26	1	no	—
1536	C₂²×C₄	—	26	1	no	—
1537	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	Q₁₆	—	52	1	no	—
1540	Q₁₆	—	52	1	no	—
1541	SD₁₆	—	2	2	no	—
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	4	1	no	—
1544	SD₁₆	—	26	2	no	—
1545	SD₁₆	—	26	2	no	—
1546	SD₁₆	—	26	2	no	—
1547	SD₁₆	—	52	1	no	—
1548	SD₁₆	—	52	1	no	—
1549	SD₁₆	—	52	1	no	—
1550	SD₁₆	—	52	1	no	—
1551	M₁₆	—	26	2	no	—
1552	M₁₆	—	26	2	no	—
1553	M₁₆	—	52	1	no	—
1554	M₁₆	—	52	1	no	—
1555	M₁₆	—	52	1	no	—
1556	M₁₆	—	52	1	no	—
1557	C₂×C₈	—	4	1	no	—
1558	C₂×C₈	—	4	1	no	—
1559	C₂×C₈	—	13	1	no	—
1560	C₂×C₈	—	13	1	no	—
1561	C₂×C₈	—	13	1	no	—
1562	C₂×C₈	—	13	1	no	—
1563	C₂×C₈	—	26	2	no	—
1564	C₂×C₈	—	26	2	no	—
1565	C₂×C₈	—	52	1	no	—
1566	C₂×C₈	—	52	1	no	—
1567	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1568	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1569	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1570	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	13	1	no	—
1578	C₄⋊C₄	—	13	1	no	—
1579	C₄⋊C₄	—	13	1	no	—
1580	C₄⋊C₄	—	13	1	no	—
1581	C₄⋊C₄	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	13	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1609	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	13	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	13	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	13	1	no	—
1621	C₂²⋊C₄	—	13	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1650	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1651	C₄²	—	2	1	no	—
1652	C₄²	—	13	1	no	—
1653	C₄²	—	26	1	no	—
1654	C₄²	—	26	1	no	—
1655	C₄²	—	26	1	no	—
1656	C₄²	—	26	1	no	—
1657	C₄²	—	26	1	no	—
1658	C₄²	—	26	1	no	—
1659	C₄²	—	26	1	no	—
1660	C₄²	—	26	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1664	C₁₃	#61184	1	1	yes	characteristic, complemented, Sylow
1665	C₂³	—	2	1	no	—
1666	C₂³	—	2	1	no	—
1667	C₂³	—	2	1	no	—
1668	C₂³	—	4	2	no	—
1669	C₂³	—	4	2	no	—
1670	C₂³	—	4	2	no	—
1671	C₂³	—	8	1	no	—
1672	C₂³	—	8	1	no	—
1673	C₂³	—	8	1	no	—
1674	C₂³	—	13	1	no	—
1675	C₂³	—	13	1	no	—
1676	C₂³	—	13	1	no	—
1677	C₂³	—	26	2	no	—
1678	C₂³	—	26	4	no	—
1679	C₂³	—	26	2	no	—
1680	C₂³	—	26	1	no	—
1681	C₂³	—	26	1	no	—
1682	C₂³	—	52	1	no	—
1683	C₂³	—	52	2	no	—
1684	C₂³	—	52	2	no	—
1685	C₂³	—	52	2	no	—
1686	C₂³	—	52	2	no	—
1687	C₂³	—	52	2	no	—
1688	C₂³	—	52	2	no	—
1689	C₂³	—	52	2	no	—
1690	C₂³	—	52	2	no	—
1691	C₂³	—	104	1	no	—
1692	C₂³	—	104	1	no	—
1693	C₂³	—	104	1	no	—
1694	C₂³	—	104	1	no	—
1695	C₂³	—	104	1	no	—
1696	C₂³	—	104	1	no	—
1697	C₂³	—	104	1	no	—
1698	C₂³	—	104	1	no	—
1699	C₂³	—	104	1	no	—
1700	C₂³	—	104	16	no	—
1701	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1702	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	8	1	no	—
1706	Q₈	—	26	2	no	—
1707	Q₈	—	26	1	no	—
1708	Q₈	—	26	1	no	—
1709	Q₈	—	26	1	no	—
1710	Q₈	—	26	1	no	—
1711	Q₈	—	52	2	no	—
1712	Q₈	—	104	1	no	—
1713	D₄	—	2	2	no	—
1714	D₄	—	2	1	no	—
1715	D₄	—	2	1	no	—
1716	D₄	—	2	1	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	4	2	no	—
1722	D₄	—	8	1	no	—
1723	D₄	—	8	1	no	—
1724	D₄	—	8	1	no	—
1725	D₄	—	13	2	no	—
1726	D₄	—	26	2	no	—
1727	D₄	—	26	4	no	—
1728	D₄	—	26	2	no	—
1729	D₄	—	26	2	no	—
1730	D₄	—	26	2	no	—
1731	D₄	—	26	1	no	—
1732	D₄	—	26	1	no	—
1733	D₄	—	26	1	no	—
1734	D₄	—	52	1	no	—
1735	D₄	—	52	2	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	1	no	—
1738	D₄	—	52	2	no	—
1739	D₄	—	52	2	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	104	1	no	—
1746	D₄	—	104	1	no	—
1747	D₄	—	104	1	no	—
1748	D₄	—	104	1	no	—
1749	D₄	—	104	1	no	—
1750	D₄	#41×D₁₃	1	2	yes	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	8	1	no	—
1761	C₂×C₄	—	8	1	no	—
1762	C₂×C₄	—	8	1	no	—
1763	C₂×C₄	—	13	1	no	—
1764	C₂×C₄	—	13	2	no	—
1765	C₂×C₄	—	13	2	no	—
1766	C₂×C₄	—	13	1	no	—
1767	C₂×C₄	—	13	1	no	—
1768	C₂×C₄	—	13	1	no	—
1769	C₂×C₄	—	13	1	no	—
1770	C₂×C₄	—	26	2	no	—
1771	C₂×C₄	—	26	2	no	—
1772	C₂×C₄	—	26	2	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	52	2	no	—
1784	C₂×C₄	—	52	2	no	—
1785	C₂×C₄	—	52	2	no	—
1786	C₂×C₄	—	52	2	no	—
1787	C₂×C₄	—	52	2	no	—
1788	C₂×C₄	—	104	1	no	—
1789	C₂×C₄	—	104	1	no	—
1790	C₂×C₄	—	104	1	no	—
1791	C₂×C₄	—	104	1	no	—
1792	C₂×C₄	—	104	1	no	—
1793	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1794	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1795	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1796	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1797	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1798	C₈	—	2	1	no	—
1799	C₈	—	2	1	no	—
1800	C₈	—	2	1	no	—
1801	C₈	—	2	1	no	—
1802	C₈	—	26	1	no	—
1803	C₈	—	26	1	no	—
1804	C₈	—	26	1	no	—
1805	C₈	—	26	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	2	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	8	4	no	—
1821	C₂²	—	13	2	no	—
1822	C₂²	—	16	2	no	—
1823	C₂²	—	26	1	no	—
1824	C₂²	—	26	1	no	—
1825	C₂²	—	26	1	no	—
1826	C₂²	—	26	1	no	—
1827	C₂²	—	26	2	no	—
1828	C₂²	—	26	1	no	—
1829	C₂²	—	26	1	no	—
1830	C₂²	—	26	1	no	—
1831	C₂²	—	26	1	no	—
1832	C₂²	—	52	4	no	—
1833	C₂²	—	52	1	no	—
1834	C₂²	—	52	1	no	—
1835	C₂²	—	52	1	no	—
1836	C₂²	—	52	1	no	—
1837	C₂²	—	52	1	no	—
1838	C₂²	—	104	4	no	—
1839	C₂²	—	104	4	no	—
1840	C₂²	—	104	4	no	—
1841	C₂²	—	104	4	no	—
1842	C₂²	—	104	4	no	—
1843	C₂²	—	208	2	no	—
1844	C₂²	#11719467	1	2	yes	—
1845	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1846	C₄	—	2	1	no	—
1847	C₄	—	2	1	no	—
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	4	1	no	—
1851	C₄	—	4	1	no	—
1852	C₄	—	4	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	13	2	no	—
1856	C₄	—	26	1	no	—
1857	C₄	—	26	1	no	—
1858	C₄	—	26	1	no	—
1859	C₄	—	26	1	no	—
1860	C₄	—	52	1	no	—
1861	C₄	—	52	1	no	—
1862	C₄	—	52	1	no	—
1863	C₄	—	52	1	no	—
1864	C₄	—	52	1	no	—
1865	C₄	—	52	1	no	—
1866	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1867	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1868	C₂	—	2	2	no	—
1869	C₂	—	4	1	no	—
1870	C₂	—	4	2	no	—
1871	C₂	—	8	1	no	—
1872	C₂	—	8	1	no	—
1873	C₂	—	26	2	no	—
1874	C₂	—	52	1	no	—
1875	C₂	—	52	1	no	—
1876	C₂	—	52	2	no	—
1877	C₂	—	104	1	no	—
1878	C₂	D₁₃×#546	1	1	yes	characteristic
1879	C₂	C₂×#11719467	1	1	yes	characteristic
1880	C₂	#13129611	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3295	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128464	C₂
hypercenter	#3295	D₁₃
hypocenter	C₁₃	#61184
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3295

Complements

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

N	H ≅ G/N	type
1. #13128584	C₂	semidirect
3. #13127066	C₂	semidirect
4. #13127060	C₂	semidirect
5. #13127057	C₂	semidirect
6. #13127055	C₂	semidirect
7. #13126913	C₂	semidirect
8. #13126911	C₂	semidirect
9. #13126878	C₂	semidirect
10. #13126869	C₂	semidirect
11. #13126864	C₂	semidirect
12. #13126863	C₂	semidirect
13. #13126857	C₂	semidirect
14. #13126853	C₂	semidirect
15. #13126675	C₂	semidirect
16. #13126673	C₂	semidirect
17. #13126658	C₂	semidirect
18. #13125185	C₂	semidirect
19. #13124793	C₂	semidirect
20. #13124746	C₂	semidirect
21. #13124662	C₂	semidirect
22. #13124470	C₂	semidirect
23. #13124459	C₂	semidirect
24. #13124352	C₂	semidirect
25. #13124108	C₂	semidirect
26. D₁₃×#450	C₂	semidirect
27. #13123690	C₂	semidirect
28. #13123556	C₂	semidirect
29. #13123357	C₂	semidirect
30. C₂×#11718431	C₂	semidirect
31. C₁₃×#3295	C₂	semidirect
34. C₁₃×#554	C₂²	semidirect
40. C₂×#88169	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
43. C₂×#88155	C₂²	semidirect
44. C₂²×#6094	C₂²	semidirect
45. #11719437	C₂²	semidirect
46. #11719434	C₂²	semidirect
51. #11719347	C₂²	semidirect
52. #11719346	C₂²	semidirect
56. #11719333	C₂²	semidirect
57. D₁₃×C₂²⋊Q₈	C₂²	semidirect
69. #11719286	C₂²	semidirect
70. #11719277	C₂²	semidirect
76. #11719246	C₂²	semidirect
78. #11719218	C₂²	semidirect
79. #11719216	C₂²	semidirect
80. #11719209	C₂²	semidirect
81. C₂×#88146	C₂²	semidirect
82. C₁₃×#486	C₂²	semidirect
83. C₁₃×#481	C₂²	semidirect
84. C₁₃×#481	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
89. C₁₃×#450	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₈×D₄×C₁₃	C₂²	semidirect
93. C₂×C₁₃×#102	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. #11718879	C₂²	semidirect
96. #11718879	C₂²	semidirect
97. #11718876	C₂²	semidirect
98. C₂×#88072	C₂²	semidirect
99. #11718835	C₂²	semidirect
100. #11718834	C₂²	semidirect
101. #11718832	C₂²	semidirect
102. #11718830	C₂²	semidirect
103. #11718830	C₂²	semidirect
104. #11718830	C₂²	semidirect
105. #11718827	C₂²	semidirect
106. #11718824	C₂²	semidirect
107. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718777	C₂²	semidirect
109. #11718775	C₂²	semidirect
110. #11718774	C₂²	semidirect
111. C₂×#88061	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718748	C₂²	semidirect
116. #11718736	C₂²	semidirect
117. #11718732	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718710	C₂²	semidirect
120. #11718708	C₂²	semidirect
121. #11718707	C₂²	semidirect
122. #11718703	C₂²	semidirect
123. #11718702	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718694	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. #11718687	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718631	C₂²	semidirect
132. #11718628	C₂²	semidirect
133. #11718627	C₂²	semidirect
134. C₂×#88049	C₂²	semidirect
135. #11718532	C₂²	semidirect
136. #11718531	C₂²	semidirect
137. #11718529	C₂²	semidirect
138. #11718528	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718527	C₂²	semidirect
141. #11718525	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718521	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718497	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718477	C₂²	semidirect
153. #11718473	C₂²	semidirect
154. #11718463	C₂²	semidirect
155. #11718444	C₂²	semidirect
156. #11718441	C₂²	semidirect
157. #11718441	C₂²	semidirect
158. #11718440	C₂²	semidirect
159. #11718440	C₂²	semidirect
160. #11718440	C₂²	semidirect
161. #11718437	C₂²	semidirect
162. #11718437	C₂²	semidirect
163. #11718437	C₂²	semidirect
164. #11718435	C₂²	semidirect
165. #11718433	C₂²	semidirect
166. #11718433	C₂²	semidirect
167. #11718433	C₂²	semidirect
168. #11718432	C₂²	semidirect
169. #11718432	C₂²	semidirect
172. #11718431	C₂²	semidirect
173. #11718431	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. #11718431	C₂²	semidirect
176. #11718431	C₂²	semidirect
177. #11718431	C₂²	semidirect
178. #11718431	C₂²	semidirect
180. D₁₃×#102	C₂²	semidirect
181. D₁₃×#102	C₂²	semidirect
182. #11718429	C₂²	semidirect
183. #11718428	C₂²	semidirect
184. #11718426	C₂²	semidirect
185. #11718425	C₂²	semidirect
186. #11718424	C₂²	semidirect
187. #11718423	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718420	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718390	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. #11718350	C₂²	semidirect
202. #11718349	C₂²	semidirect
235. C₂×C₁₃×SD₁₆	C₂³	semidirect
237. C₂²×C₈×C₁₃	C₂³	semidirect
238. C₁₃×C₄⋊Q₈	C₂³	semidirect
244. C₁₃×C₂²⋊Q₈	C₂³	semidirect
250. C₄×Q₈×C₁₃	C₂³	semidirect
255. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
262. #88200	C₂³	semidirect
264. Q₈×Dic₁₃	C₂³	semidirect
266. C₂×#6107	C₂³	semidirect
298. C₂×#6105	C₂³	semidirect
312. #88180	C₂³	semidirect
317. #88178	C₂³	semidirect
319. C₂×#6099	C₂³	semidirect
324. C₂×Dic₅₂	C₂³	semidirect
333. C₂×#6094	C₂³	semidirect
336. C₂×C₈×D₁₃	C₂³	semidirect
344. #88151	C₂³	semidirect
364. #88146	C₂³	semidirect
367. C₄⋊C₄×D₁₃	C₂³	semidirect
369. #88144	C₂³	semidirect
376. #88142	C₂³	semidirect
380. #88141	C₂³	semidirect
416. #88124	C₂³	semidirect
418. C₄×Dic₂₆	C₂³	semidirect
419. C₁₃×#106	C₂³	semidirect
420. C₁₃×#106	C₂³	semidirect
421. C₁₃×#106	C₂³	semidirect
422. C₁₃×C₄⋊C₈	C₂³	semidirect
423. C₁₃×#103	C₂³	semidirect
430. C₁₃×#102	C₂³	semidirect
431. C₁₃×#102	C₂³	semidirect
432. C₁₃×#102	C₂³	semidirect
434. C₁₃×C₂²⋊C₈	C₂³	semidirect
435. C₄×C₈×C₁₃	C₂³	semidirect
436. #88075	C₂³	semidirect
443. #88072	C₂³	semidirect
444. #88072	C₂³	semidirect
445. #88072	C₂³	semidirect
447. C₂²⋊#1055	C₂³	semidirect
456. #88060	C₂³	semidirect
457. #88060	C₂³	semidirect
458. #88058	C₂³	semidirect
459. #88057	C₂³	semidirect
460. #88057	C₂³	semidirect
461. #88056	C₂³	semidirect
462. #88056	C₂³	semidirect
463. #88056	C₂³	semidirect
464. #88056	C₂³	semidirect
465. #88055	C₂³	semidirect
466. #88054	C₂³	semidirect
467. #88054	C₂³	semidirect
468. C₈×Dic₁₃	C₂³	semidirect
469. #88050	C₂³	semidirect
470. #88050	C₂³	semidirect
471. #88050	C₂³	semidirect
472. #88050	C₂³	semidirect
479. #88048	C₂³	semidirect
480. #88047	C₂³	semidirect
481. #88047	C₂³	semidirect
482. #88047	C₂³	semidirect
483. #88047	C₂³	semidirect
484. #88047	C₂³	semidirect
485. C₄⋊#1055	C₂³	semidirect
486. #88043	C₂³	semidirect
742. #3295	D₁₃	semidirect
907. #554	C₂×D₁₃	semidirect
954. #486	C₂×D₁₃	semidirect
966. #481	C₂×D₁₃	semidirect
967. #481	C₂×D₁₃	semidirect
976. #476	C₂×D₁₃	semidirect
993. #465	C₂×D₁₃	semidirect
994. #465	C₂×D₁₃	semidirect
1002. #460	C₂×D₁₃	semidirect
1017. #450	C₂×D₁₃	semidirect
1018. #450	C₂×D₁₃	semidirect
1026. C₄×SD₁₆	C₂×D₁₃	semidirect
1034. C₈×D₄	C₂×D₁₃	semidirect
1063. C₂×#102	C₂×D₁₃	semidirect
1064. C₂×#102	C₂×D₁₃	semidirect
1174. C₂×SD₁₆	C₂²×D₁₃	semidirect
1188. C₂²×C₈	C₂²×D₁₃	semidirect
1192. C₄⋊Q₈	C₂²×D₁₃	semidirect
1251. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1297. C₄×Q₈	C₂²×D₁₃	semidirect
1336. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1355. #106	C₂²×D₁₃	semidirect
1356. #106	C₂²×D₁₃	semidirect
1357. #106	C₂²×D₁₃	semidirect
1361. C₄⋊C₈	C₂²×D₁₃	semidirect
1371. #103	C₂²×D₁₃	semidirect
1399. #102	C₂²×D₁₃	semidirect
1400. #102	C₂²×D₁₃	semidirect
1401. #102	C₂²×D₁₃	semidirect
1409. C₂²⋊C₈	C₂²×D₁₃	semidirect
1413. C₄×C₈	C₂²×D₁₃	semidirect
1664. C₁₃	#61184	semidirect

Maximal subgroups

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

subgroup	index
#13128584	2
#13128464	2
#13127066	2
#13127060	2
#13127057	2
#13127055	2
#13126913	2
#13126911	2
#13126878	2
#13126869	2
#13126864	2
#13126863	2
#13126857	2
#13126853	2
#13126675	2
#13126673	2
#13126658	2
#13125185	2
#13124793	2
#13124746	2
#13124662	2
#13124470	2
#13124459	2
#13124352	2
#13124108	2
D₁₃×#450	2
#13123690	2
#13123556	2
#13123357	2
C₂×#11718431	2
C₁₃×#3295	2
#61184	13