Subgroups — #16748399

Order 3328.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128670	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127105	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127053	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127011	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126981	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126963	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126933	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126742	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126690	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126570	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126547	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126467	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126441	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126399	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126370	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126355	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126335	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125871	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125809	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125675	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125668	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125626	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125601	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124938	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124847	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124074	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124051	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718900	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123872	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
37	#11719539	C₂²	1	1	yes	characteristic
38	#11719537	—	2	1	no	—
39	#11719537	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic
41	#11719534	—	2	1	no	—
42	#11719534	C₂²	1	1	yes	characteristic
43	#11719533	—	2	1	no	—
44	#11719533	C₂²	1	1	yes	characteristic, complemented
45	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
46	#11719529	—	2	1	no	—
47	#11719529	C₂²	1	1	yes	characteristic
48	#11719522	C₂²	1	1	yes	characteristic, complemented
49	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
51	#11719511	—	2	1	no	—
52	#11719511	C₂²	1	1	yes	characteristic, complemented
53	#11719511	C₂²	1	1	yes	characteristic, complemented
54	#11719511	C₂²	1	1	yes	characteristic, complemented
55	#11719509	—	2	1	no	—
56	D₄×C₂²⋊D₁₃	—	2	1	no	—
57	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
58	#11719503	—	2	1	no	—
59	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
60	#11719496	—	2	1	no	—
61	#11719496	C₂²	1	1	yes	characteristic
62	C₂×C₄×C₂²⋊D₁₃	—	2	1	no	—
63	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
64	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
66	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
67	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
68	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
69	#11719323	C₂²	1	1	yes	characteristic
70	#11719323	C₂²	1	1	yes	characteristic, complemented
71	#11719322	—	2	1	no	—
72	#11719311	C₂²	1	1	yes	characteristic, complemented
73	#11719311	C₂²	1	1	yes	characteristic, complemented
74	#11719307	—	2	1	no	—
75	#11719306	—	2	1	no	—
76	#11719306	—	2	1	no	—
77	#11719305	C₂²	1	1	yes	characteristic, complemented
78	#11719305	C₂²	1	1	yes	characteristic, complemented
79	#11719303	C₂²	1	1	yes	characteristic
80	#11719303	C₂²	1	1	yes	characteristic, complemented
81	#11719218	C₂²	1	1	yes	characteristic, complemented
82	#11719218	C₂²	1	1	yes	characteristic, complemented
83	#11719200	—	2	1	no	—
84	#11719200	—	2	1	no	—
85	C₁₃×#449	C₂²	1	1	yes	characteristic
86	C₁₃×#449	C₂²	1	1	yes	characteristic
87	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718900	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718900	C₂²	1	1	yes	characteristic, complemented
100	#11718900	C₂²	1	1	yes	characteristic, complemented
101	#11718900	C₂²	1	1	yes	characteristic, complemented
102	#11718900	C₂²	1	1	yes	characteristic, complemented
103	#11718900	C₂²	1	1	yes	characteristic, complemented
104	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
105	#11718879	C₂²	1	1	yes	characteristic, complemented
106	#11718878	C₂²	1	1	yes	characteristic, complemented
107	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
109	#11718835	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic, complemented
111	#11718834	C₂²	1	1	yes	characteristic, complemented
112	#11718833	C₂²	1	1	yes	characteristic, complemented
113	#11718832	C₂²	1	1	yes	characteristic, complemented
114	#11718831	C₂²	1	1	yes	characteristic, complemented
115	#11718829	C₂²	1	1	yes	characteristic, complemented
116	#11718828	C₂²	1	1	yes	characteristic, complemented
117	#11718827	C₂²	1	1	yes	characteristic, complemented
118	#11718827	C₂²	1	1	yes	characteristic, complemented
119	#11718826	C₂²	1	1	yes	characteristic, complemented
120	#11718825	C₂²	1	1	yes	characteristic, complemented
121	#11718823	C₂²	1	1	yes	characteristic, complemented
122	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718820	C₂²	1	1	yes	characteristic, complemented
124	#11718819	C₂²	1	1	yes	characteristic, complemented
125	#11718819	C₂²	1	1	yes	characteristic, complemented
126	#11718819	C₂²	1	1	yes	characteristic, complemented
127	#11718818	C₂²	1	1	yes	characteristic, complemented
128	#11718817	C₂²	1	1	yes	characteristic, complemented
129	#11718816	C₂²	1	1	yes	characteristic, complemented
130	#11718815	C₂²	1	1	yes	characteristic, complemented
131	#11718814	C₂²	1	1	yes	characteristic, complemented
132	#11718814	C₂²	1	1	yes	characteristic, complemented
133	#11718814	C₂²	1	1	yes	characteristic, complemented
134	#11718813	C₂²	1	1	yes	characteristic, complemented
135	#11718811	C₂²	1	1	yes	characteristic, complemented
136	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
137	#11718798	C₂²	1	1	yes	characteristic, complemented
138	#11718798	C₂²	1	1	yes	characteristic, complemented
139	#11718795	C₂²	1	1	yes	characteristic, complemented
140	#11718795	C₂²	1	1	yes	characteristic, complemented
141	#11718789	C₂²	1	1	yes	characteristic, complemented
142	#11718789	C₂²	1	1	yes	characteristic, complemented
143	#11718788	C₂²	1	1	yes	characteristic, complemented
144	#11718788	C₂²	1	1	yes	characteristic, complemented
145	#11718702	C₂²	1	1	yes	characteristic, complemented
146	#11718702	C₂²	1	1	yes	characteristic, complemented
147	#11718699	C₂²	1	1	yes	characteristic, complemented
148	#11718699	C₂²	1	1	yes	characteristic, complemented
149	#11718698	C₂²	1	1	yes	characteristic, complemented
150	#11718698	C₂²	1	1	yes	characteristic, complemented
151	#11718696	C₂²	1	1	yes	characteristic, complemented
152	#11718696	C₂²	1	1	yes	characteristic, complemented
153	#11718631	C₂²	1	1	yes	characteristic, complemented
154	#11718629	C₂²	1	1	yes	characteristic, complemented
155	#11718477	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718475	C₂²	1	1	yes	characteristic, complemented
158	#11718474	C₂²	1	1	yes	characteristic, complemented
159	#11718471	C₂²	1	1	yes	characteristic, complemented
160	#11718469	C₂²	1	1	yes	characteristic, complemented
161	#11718465	C₂²	1	1	yes	characteristic, complemented
162	#11718463	C₂²	1	1	yes	characteristic, complemented
163	#11718461	C₂²	1	1	yes	characteristic, complemented
164	#11718460	C₂²	1	1	yes	characteristic, complemented
165	#11718459	C₂²	1	1	yes	characteristic, complemented
166	#11718458	C₂²	1	1	yes	characteristic, complemented
167	#11718457	C₂²	1	1	yes	characteristic, complemented
168	#11718454	C₂²	1	1	yes	characteristic, complemented
169	#11718451	C₂²	1	1	yes	characteristic, complemented
170	#11718450	C₂²	1	1	yes	characteristic, complemented
171	#11718445	C₂²	1	1	yes	characteristic, complemented
172	#11718444	C₂²	1	1	yes	characteristic, complemented
173	#11718441	C₂²	1	1	yes	characteristic, complemented
174	#11718440	C₂²	1	1	yes	characteristic, complemented
175	#11718439	C₂²	1	1	yes	characteristic, complemented
176	#11718437	C₂²	1	1	yes	characteristic, complemented
177	#11718433	C₂²	1	1	yes	characteristic, complemented
178	#11718431	C₂²	1	1	yes	characteristic, complemented
179	#11718429	C₂²	1	1	yes	characteristic, complemented
180	#11718428	C₂²	1	1	yes	characteristic, complemented
181	#11718427	C₂²	1	1	yes	characteristic, complemented
182	#11718425	C₂²	1	1	yes	characteristic, complemented
183	#11718424	C₂²	1	1	yes	characteristic, complemented
184	#11718423	C₂²	1	1	yes	characteristic, complemented
185	#11718419	C₂²	1	1	yes	characteristic, complemented
186	#11718418	C₂²	1	1	yes	characteristic, complemented
187	#11718400	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718396	C₂²	1	1	yes	characteristic, complemented
190	#11718394	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718391	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718387	C₂²	1	1	yes	characteristic, complemented
195	#11718386	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	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718384	C₂²	1	1	yes	characteristic, complemented
200	#11718383	C₂²	1	1	yes	characteristic, complemented
201	#11718380	C₂²	1	1	yes	characteristic, complemented
202	#11718379	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	4	2	no	—
206	C₂×C₁₃×#41	—	4	2	no	—
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₁₃	—	2	1	no	—
213	C₂²×D₄×C₁₃	—	2	1	no	—
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₁₃	—	2	1	no	—
217	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₂²⋊D₁₃	—	2	1	no	—
219	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
220	#41×D₁₃	—	4	2	no	—
221	#41×D₁₃	—	4	2	no	—
222	C₂×#6131	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6129	—	2	1	no	—
225	C₂×#6129	C₂³	1	1	yes	characteristic
226	C₂×#6129	C₂³	1	1	yes	characteristic
227	C₂×#6129	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	—	2	1	no	—
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×#6127	—	2	1	no	—
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
236	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
255	#88207	—	2	1	no	—
256	#88207	—	2	1	no	—
257	#88207	—	2	1	no	—
258	#88207	—	2	1	no	—
259	#88207	—	2	1	no	—
260	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
261	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
262	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
263	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
264	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
265	#88201	—	2	1	no	—
266	#88201	C₂³	1	1	yes	characteristic
267	#88200	—	2	1	no	—
268	#88200	—	2	1	no	—
269	#88200	C₂³	1	1	yes	characteristic
270	#88200	C₂³	1	1	yes	characteristic
271	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
273	#88198	—	2	1	no	—
274	#88198	C₂³	1	1	yes	characteristic
275	C₂×#6107	—	4	2	no	—
276	C₂×#6107	C₂³	1	1	yes	characteristic
277	C₂×#6107	C₂³	1	1	yes	characteristic
278	C₂×#6107	C₂³	1	1	yes	characteristic
279	C₂×#6107	C₂³	1	1	yes	characteristic
280	#88194	—	2	1	no	—
281	#88194	C₂³	1	1	yes	characteristic
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	C₂³	1	1	yes	characteristic
297	#88192	C₂³	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88191	—	2	1	no	—
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88191	—	2	1	no	—
305	#88190	—	2	1	no	—
306	#88190	C₂³	1	1	yes	characteristic
307	#88190	C₂³	1	1	yes	characteristic
308	#88190	C₂³	1	1	yes	characteristic
309	#88189	—	2	1	no	—
310	#88189	—	2	1	no	—
311	#88189	—	2	1	no	—
312	#88189	—	2	1	no	—
313	#88189	—	2	1	no	—
314	#88189	—	2	1	no	—
315	#88189	—	2	1	no	—
316	D₄×Dic₁₃	—	2	1	no	—
317	D₄×Dic₁₃	—	2	1	no	—
318	D₄×Dic₁₃	—	2	1	no	—
319	D₄×Dic₁₃	—	2	1	no	—
320	D₄×Dic₁₃	—	2	1	no	—
321	D₄×Dic₁₃	—	2	1	no	—
322	D₄×Dic₁₃	—	2	1	no	—
323	D₄×Dic₁₃	—	2	1	no	—
324	D₄×Dic₁₃	—	2	1	no	—
325	D₄×Dic₁₃	—	2	1	no	—
326	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
327	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
328	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
329	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×#6105	—	4	2	no	—
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	C₂×#6105	C₂³	1	1	yes	characteristic
335	C₂×#6105	C₂³	1	1	yes	characteristic
336	C₂×#6105	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	C₂×#6104	C₂³	1	1	yes	characteristic
339	#88184	—	2	1	no	—
340	#88184	—	2	1	no	—
341	#88184	C₂³	1	1	yes	characteristic
342	#88184	C₂³	1	1	yes	characteristic
343	#88183	—	2	1	no	—
344	#88183	—	2	1	no	—
345	#88183	—	2	1	no	—
346	#88183	—	2	1	no	—
347	#88183	—	2	1	no	—
348	C₄×C₂²⋊D₁₃	—	2	1	no	—
349	C₄×C₂²⋊D₁₃	—	2	1	no	—
350	C₄×C₂²⋊D₁₃	—	2	1	no	—
351	C₄×C₂²⋊D₁₃	—	2	1	no	—
352	C₄×C₂²⋊D₁₃	—	2	1	no	—
353	C₄×C₂²⋊D₁₃	—	2	1	no	—
354	C₄×C₂²⋊D₁₃	—	2	1	no	—
355	C₄×C₂²⋊D₁₃	—	2	1	no	—
356	C₄×C₂²⋊D₁₃	—	2	1	no	—
357	C₄×C₂²⋊D₁₃	—	2	1	no	—
358	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
359	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
360	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
361	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
362	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
363	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
364	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
365	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
366	C₂×#6103	—	2	1	no	—
367	C₂×#6103	D₄	1	1	yes	characteristic
368	#88180	—	2	1	no	—
369	#88180	—	2	1	no	—
370	#88180	—	2	1	no	—
371	#88180	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
373	#88178	—	2	1	no	—
374	#88178	—	2	1	no	—
375	#88178	—	2	1	no	—
376	#88178	—	2	1	no	—
377	#88178	C₂³	1	1	yes	characteristic
378	#88178	C₂³	1	1	yes	characteristic
379	#88178	C₂³	1	1	yes	characteristic
380	#88178	C₂³	1	1	yes	characteristic
381	#88178	C₂³	1	1	yes	characteristic
382	#88178	C₂³	1	1	yes	characteristic
383	C₂×#6101	—	2	1	no	—
384	C₂×#6101	—	2	1	no	—
385	C₂×#6101	D₄	1	1	yes	characteristic
386	C₂×C₄×Dic₁₃	—	2	1	no	—
387	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
388	C₂²×#1055	C₂³	1	1	yes	characteristic
389	C₂²×#1055	C₂³	1	1	yes	characteristic
390	#88170	—	4	2	no	—
391	#88169	—	4	2	no	—
392	#88166	—	4	2	no	—
393	#88165	—	4	2	no	—
394	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
395	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
396	C₂×#6095	C₂³	1	1	yes	characteristic
397	C₂×#6095	C₂³	1	1	yes	characteristic
398	C₂×#6094	C₂³	1	1	yes	characteristic
399	C₂×#6094	C₂³	1	1	yes	characteristic
400	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
401	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
402	#88152	—	2	1	no	—
403	#88152	—	2	1	no	—
404	#88151	C₂³	1	1	yes	characteristic
405	#88151	C₂³	1	1	yes	characteristic
406	#88146	C₂³	1	1	yes	characteristic
407	#88146	C₂³	1	1	yes	characteristic
408	#88144	C₂³	1	1	yes	characteristic
409	#88144	C₂³	1	1	yes	characteristic
410	#88143	—	2	1	no	—
411	#88143	—	2	1	no	—
412	#88141	C₂³	1	1	yes	characteristic
413	#88141	C₂³	1	1	yes	characteristic
414	#88140	—	2	1	no	—
415	#88140	—	2	1	no	—
416	#88139	—	2	1	no	—
417	#88139	—	2	1	no	—
418	#88137	—	2	1	no	—
419	#88137	—	2	1	no	—
420	#88135	—	2	1	no	—
421	#88135	—	2	1	no	—
422	#88133	—	2	1	no	—
423	#88133	—	2	1	no	—
424	#88133	—	2	1	no	—
425	#88133	—	2	1	no	—
426	#88132	—	2	1	no	—
427	#88132	—	2	1	no	—
428	#88131	—	2	1	no	—
429	#88131	—	2	1	no	—
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	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
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88060	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	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88057	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88055	C₂³	1	1	yes	characteristic
475	#88055	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	#88054	C₂³	1	1	yes	characteristic
480	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88050	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88048	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#61606	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	4	no	—
505	C₁₃×#41	—	4	4	no	—
506	C₂×Q₈×C₁₃	—	2	1	no	—
507	C₂×Q₈×C₁₃	—	2	2	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×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	2	no	—
513	C₂×D₄×C₁₃	—	2	1	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	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	4	1	no	—
523	C₂×D₄×C₁₃	—	4	1	no	—
524	C₂×D₄×C₁₃	—	4	1	no	—
525	C₂×D₄×C₁₃	—	4	4	no	—
526	C₂×D₄×C₁₃	—	4	4	no	—
527	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	4	1	no	—
538	C₂²×C₄×C₁₃	—	4	1	no	—
539	C₂²×C₄×C₁₃	—	4	4	no	—
540	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	2	1	no	—
557	C₂×C₂²⋊D₁₃	—	2	1	no	—
558	C₂×C₂²⋊D₁₃	—	2	1	no	—
559	C₂×C₂²⋊D₁₃	—	4	2	no	—
560	C₂×C₂²⋊D₁₃	—	4	4	no	—
561	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂²×Dic₁₃	—	2	1	no	—
566	C₂²×Dic₁₃	—	2	1	no	—
567	C₂²×Dic₁₃	—	2	1	no	—
568	C₂²×Dic₁₃	—	2	1	no	—
569	C₂²×Dic₁₃	—	2	1	no	—
570	C₂²×Dic₁₃	—	2	1	no	—
571	C₂²×Dic₁₃	—	2	1	no	—
572	C₂²×Dic₁₃	—	2	1	no	—
573	C₂²×Dic₁₃	—	2	1	no	—
574	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
576	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
577	#6131	—	2	2	no	—
578	#6131	—	4	1	no	—
579	Q₈×D₁₃	—	2	2	no	—
580	Q₈×D₁₃	—	4	1	no	—
581	#6129	—	2	2	no	—
582	#6129	—	4	1	no	—
583	#6129	—	4	1	no	—
584	#6129	—	4	1	no	—
585	#6129	—	4	1	no	—
586	#6129	—	4	1	no	—
587	#6129	—	4	4	no	—
588	D₄×D₁₃	—	2	2	no	—
589	D₄×D₁₃	—	4	1	no	—
590	D₄×D₁₃	—	4	4	no	—
591	#6127	—	4	1	no	—
592	#6127	—	4	1	no	—
593	#6127	—	4	4	no	—
594	C₂×D₅₂	—	2	1	no	—
595	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
600	C₂×C₄×D₁₃	—	4	1	no	—
601	C₂×C₄×D₁₃	—	4	4	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×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	—	2	1	no	—
608	C₂×Dic₂₆	—	4	1	no	—
609	C₂×Dic₂₆	—	4	1	no	—
610	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
611	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
612	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
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×D₈	—	2	2	no	—
618	C₁₃×D₈	—	2	2	no	—
619	C₁₃×D₈	—	4	1	no	—
620	C₁₃×D₈	—	4	1	no	—
621	C₁₃×M₁₆	—	4	1	no	—
622	C₁₃×M₁₆	—	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	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	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	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
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	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
659	#6107	—	2	2	no	—
660	#6107	—	2	2	no	—
661	#6107	—	4	1	no	—
662	#6107	—	4	1	no	—
663	#6105	—	2	2	no	—
664	#6105	—	2	2	no	—
665	#6105	—	4	1	no	—
666	#6105	—	4	1	no	—
667	#6105	—	4	1	no	—
668	#6105	—	4	1	no	—
669	#6104	—	4	1	no	—
670	#6104	—	4	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	C₂×D₄	1	1	yes	characteristic
682	#6103	C₂×D₄	1	1	yes	characteristic
683	#6103	C₂×D₄	1	1	yes	characteristic
684	#6103	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	—	2	1	no	—
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	—	2	1	no	—
690	C₄⋊Dic₁₃	—	2	1	no	—
691	C₄⋊Dic₁₃	—	2	1	no	—
692	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
711	#6101	C₂×D₄	1	1	yes	characteristic
712	#6101	C₂×D₄	1	1	yes	characteristic
713	#6101	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	—	4	1	no	—
726	C₂×#1055	—	4	1	no	—
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	Dic₅₂	—	4	1	no	—
732	Dic₅₂	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	#6094	—	4	1	no	—
736	#6094	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	#3505	—	13	1	no	—
740	D₄×#41	—	13	1	no	—
741	#3327	—	13	1	no	—
742	#3323	—	13	1	no	—
743	#3320	—	13	1	no	—
744	#3318	—	13	1	no	—
745	#3317	—	13	1	no	—
746	#3315	—	13	1	no	—
747	#3301	—	13	1	no	—
748	#3297	—	13	1	no	—
749	#3285	—	13	1	no	—
750	#3282	—	13	1	no	—
751	#3275	—	13	1	no	—
752	#3273	—	13	1	no	—
753	#3270	—	13	1	no	—
754	#3268	—	13	1	no	—
755	#3267	—	13	1	no	—
756	#3265	—	13	1	no	—
757	#3219	—	13	1	no	—
758	#3212	—	13	1	no	—
759	#3197	—	13	1	no	—
760	#3196	—	13	1	no	—
761	#3191	—	13	1	no	—
762	#3188	—	13	1	no	—
763	#3111	—	13	1	no	—
764	#3102	—	13	1	no	—
765	#3006	D₁₃	1	1	yes	characteristic, complemented
766	#3005	—	13	1	no	—
767	#3002	—	13	1	no	—
768	C₂×#452	—	13	1	no	—
769	#2974	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	2	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	4	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	4	2	no	—
779	C₂³×C₁₃	—	4	2	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂²×D₁₃	—	2	1	no	—
787	C₂²×D₁₃	—	4	1	no	—
788	C₂²×D₁₃	—	4	1	no	—
789	C₂²×D₁₃	—	4	1	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	4	2	no	—
799	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
800	D₄×C₁₃	—	2	4	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	4	2	no	—
809	D₄×C₁₃	—	4	2	no	—
810	D₄×C₁₃	—	4	2	no	—
811	D₄×C₁₃	—	4	2	no	—
812	D₄×C₁₃	—	4	2	no	—
813	D₄×C₁₃	—	4	2	no	—
814	D₄×C₁₃	—	4	2	no	—
815	D₄×C₁₃	—	4	2	no	—
816	D₄×C₁₃	—	8	1	no	—
817	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
818	C₂×C₄×C₁₃	—	2	4	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	4	1	no	—
830	C₂×C₄×C₁₃	—	4	1	no	—
831	C₂×C₄×C₁₃	—	4	1	no	—
832	C₂×C₄×C₁₃	—	4	2	no	—
833	C₂×C₄×C₁₃	—	4	2	no	—
834	C₂×C₄×C₁₃	—	4	2	no	—
835	C₂×C₄×C₁₃	—	4	2	no	—
836	C₂×C₄×C₁₃	—	4	2	no	—
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
841	C₂²⋊D₁₃	—	2	2	no	—
842	C₂²⋊D₁₃	—	2	2	no	—
843	C₂²⋊D₁₃	—	4	1	no	—
844	C₂²⋊D₁₃	—	4	1	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	4	2	no	—
847	C₂²⋊D₁₃	—	4	2	no	—
848	C₂²⋊D₁₃	—	4	2	no	—
849	C₂²⋊D₁₃	—	4	2	no	—
850	C₂²⋊D₁₃	—	4	2	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂²⋊D₁₃	—	8	1	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	2	1	no	—
864	C₂×Dic₁₃	—	2	1	no	—
865	C₂×Dic₁₃	—	4	1	no	—
866	C₂×Dic₁₃	—	4	1	no	—
867	C₂×Dic₁₃	—	4	1	no	—
868	C₂×Dic₁₃	—	4	2	no	—
869	C₂×Dic₁₃	—	4	2	no	—
870	C₂×Dic₁₃	—	8	1	no	—
871	C₂×Dic₁₃	—	8	1	no	—
872	C₂×Dic₁₃	—	8	1	no	—
873	C₂×Dic₁₃	—	8	1	no	—
874	C₂×Dic₁₃	—	8	1	no	—
875	C₂×Dic₁₃	—	8	1	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	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
883	D₅₂	—	2	1	no	—
884	D₅₂	—	2	1	no	—
885	D₅₂	—	4	2	no	—
886	C₄×D₁₃	—	2	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	4	1	no	—
891	C₄×D₁₃	—	4	1	no	—
892	C₄×D₁₃	—	4	2	no	—
893	C₄×D₁₃	—	4	2	no	—
894	C₄×D₁₃	—	4	2	no	—
895	Dic₂₆	—	2	1	no	—
896	Dic₂₆	—	2	1	no	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	2	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	2	1	no	—
901	Dic₂₆	—	4	2	no	—
902	Dic₂₆	—	8	1	no	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	#1055	—	2	1	no	—
908	#1055	—	2	1	no	—
909	#1055	—	2	1	no	—
910	#1055	—	2	1	no	—
911	C₂²×#41	—	13	1	no	—
912	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
913	C₂×#137	—	13	1	no	—
914	C₂×AGL(1,ℤ/8)	—	13	1	no	—
915	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic, complemented
916	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic, complemented
917	C₂×#135	—	13	1	no	—
918	C₂×#135	—	13	1	no	—
919	C₂²×Q₁₆	—	13	1	no	—
920	C₂²×SD₁₆	—	13	1	no	—
921	#553	—	13	1	no	—
922	#553	—	13	1	no	—
923	#553	—	26	1	no	—
924	#553	—	26	1	no	—
925	#552	—	13	1	no	—
926	#552	—	13	1	no	—
927	#551	—	26	1	no	—
928	#551	—	26	1	no	—
929	#550	—	13	1	no	—
930	D₄×Q₈	—	13	1	no	—
931	#548	—	13	1	no	—
932	#548	—	13	1	no	—
933	#548	—	13	1	no	—
934	#548	—	13	1	no	—
935	#547	—	13	1	no	—
936	#547	—	26	1	no	—
937	#546	—	13	1	no	—
938	#546	—	13	1	no	—
939	#546	—	13	1	no	—
940	#546	—	13	1	no	—
941	#546	—	26	1	no	—
942	#546	—	26	1	no	—
943	D₄²	—	13	1	no	—
944	D₄²	—	26	1	no	—
945	#539	—	26	1	no	—
946	#538	—	26	1	no	—
947	#534	—	26	1	no	—
948	#532	—	13	1	no	—
949	#532	—	26	1	no	—
950	#529	—	13	1	no	—
951	#529	—	13	1	no	—
952	#525	—	13	1	no	—
953	#525	—	13	1	no	—
954	#525	—	13	1	no	—
955	#525	—	13	1	no	—
956	#525	—	26	1	no	—
957	#525	—	26	1	no	—
958	C₂×C₂²⋊Q₈	—	13	1	no	—
959	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
960	#518	—	26	1	no	—
961	C₄×#41	—	13	1	no	—
962	C₂×C₄×D₄	—	13	1	no	—
963	C₂×C₄×D₄	—	26	1	no	—
964	#497	—	13	1	no	—
965	#496	—	13	1	no	—
966	#495	—	13	1	no	—
967	#495	—	13	1	no	—
968	#491	—	13	1	no	—
969	#490	—	13	1	no	—
970	#488	—	13	1	no	—
971	#488	—	13	1	no	—
972	#485	—	13	1	no	—
973	#485	—	13	1	no	—
974	#485	—	13	1	no	—
975	#485	—	13	1	no	—
976	#484	—	13	1	no	—
977	#484	—	13	1	no	—
978	#482	—	13	1	no	—
979	#482	—	13	1	no	—
980	#482	—	13	1	no	—
981	#482	—	13	1	no	—
982	#481	—	13	1	no	—
983	#481	—	13	1	no	—
984	#479	—	13	1	no	—
985	#479	—	13	1	no	—
986	#478	—	13	1	no	—
987	#478	—	13	1	no	—
988	#470	—	13	1	no	—
989	#470	—	13	1	no	—
990	#470	—	13	1	no	—
991	#469	—	13	1	no	—
992	#468	—	13	1	no	—
993	#468	—	13	1	no	—
994	#468	—	13	1	no	—
995	#468	—	13	1	no	—
996	#467	—	13	1	no	—
997	#466	—	13	1	no	—
998	#466	—	13	1	no	—
999	#466	—	13	1	no	—
1000	#465	—	13	1	no	—
1001	#465	—	13	1	no	—
1002	#465	—	13	1	no	—
1003	#465	—	13	1	no	—
1004	#464	—	13	1	no	—
1005	#464	—	13	1	no	—
1006	#464	—	13	1	no	—
1007	#464	—	13	1	no	—
1008	#463	—	13	1	no	—
1009	#463	—	13	1	no	—
1010	#463	—	13	1	no	—
1011	#463	—	13	1	no	—
1012	#462	—	13	1	no	—
1013	#461	—	13	1	no	—
1014	#460	—	13	1	no	—
1015	#459	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
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	#451	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#450	—	13	1	no	—
1033	#450	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	C₂×D₁₃	1	1	yes	characteristic
1041	#449	C₂×D₁₃	1	1	yes	characteristic
1042	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1043	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	#448	—	13	1	no	—
1045	#448	—	13	1	no	—
1046	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1048	#447	—	13	1	no	—
1049	#447	—	13	1	no	—
1050	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1051	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#442	—	13	1	no	—
1053	#441	—	13	1	no	—
1054	#440	—	13	1	no	—
1055	#440	—	13	1	no	—
1056	C₄×Q₁₆	—	13	1	no	—
1057	C₄×SD₁₆	—	13	1	no	—
1058	C₄×SD₁₆	—	13	1	no	—
1059	C₄×D₈	—	13	1	no	—
1060	#436	—	13	1	no	—
1061	#436	—	13	1	no	—
1062	#435	—	13	1	no	—
1063	#435	—	13	1	no	—
1064	#435	—	13	1	no	—
1065	#435	—	13	1	no	—
1066	C₈×D₄	—	13	1	no	—
1067	C₈×D₄	—	13	1	no	—
1068	#432	—	13	1	no	—
1069	#431	—	13	1	no	—
1070	#419	—	13	1	no	—
1071	#418	—	13	1	no	—
1072	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1074	#416	—	13	1	no	—
1075	#416	—	13	1	no	—
1076	C₂×#103	—	13	1	no	—
1077	C₂×#102	—	13	1	no	—
1078	#407	—	13	1	no	—
1079	#407	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	C₂×C₂²⋊C₈	—	13	1	no	—
1081	C₂×C₂²⋊C₈	—	13	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	2	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	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	—	8	2	no	—
1103	C₂²×C₁₃	—	8	4	no	—
1104	C₂²×C₁₃	—	16	2	no	—
1105	C₂²×C₁₃	#575	1	2	yes	—
1106	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1107	C₂×D₁₃	—	2	1	no	—
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	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	4	1	no	—
1115	C₂×D₁₃	—	4	1	no	—
1116	C₂×D₁₃	—	8	2	no	—
1117	C₂×D₁₃	—	8	4	no	—
1118	C₄×C₁₃	—	2	2	no	—
1119	C₄×C₁₃	—	2	1	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	2	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1126	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1127	Dic₁₃	—	2	1	no	—
1128	Dic₁₃	—	2	1	no	—
1129	Dic₁₃	—	2	1	no	—
1130	Dic₁₃	—	2	1	no	—
1131	Dic₁₃	—	2	1	no	—
1132	Dic₁₃	—	2	1	no	—
1133	Dic₁₃	—	4	1	no	—
1134	Dic₁₃	—	4	1	no	—
1135	Dic₁₃	—	4	1	no	—
1136	Dic₁₃	—	4	1	no	—
1137	Dic₁₃	—	4	1	no	—
1138	Dic₁₃	—	4	1	no	—
1139	Dic₁₃	—	4	1	no	—
1140	C₂×#41	—	2	1	no	—
1141	C₂×#41	—	2	1	no	—
1142	C₂×#41	—	4	2	no	—
1143	C₂×#41	—	4	2	no	—
1144	C₂×#41	—	13	1	no	—
1145	C₂×#41	—	13	1	no	—
1146	C₂×#41	—	13	1	no	—
1147	C₂×#41	—	13	1	no	—
1148	C₂×#41	—	13	1	no	—
1149	C₂×#41	—	26	1	no	—
1150	C₂×#41	—	26	1	no	—
1151	C₂×#41	—	52	2	no	—
1152	C₂×#41	—	52	2	no	—
1153	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1155	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂²×Q₈	—	13	1	no	—
1158	C₂²×Q₈	—	13	1	no	—
1159	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂²×D₄	—	2	1	no	—
1161	C₂²×D₄	—	2	1	no	—
1162	C₂²×D₄	—	13	1	no	—
1163	C₂²×D₄	—	13	1	no	—
1164	C₂²×D₄	—	26	1	no	—
1165	C₂²×D₄	—	26	1	no	—
1166	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂³×C₄	—	2	1	no	—
1169	C₂³×C₄	—	13	1	no	—
1170	C₂³×C₄	—	26	1	no	—
1171	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1172	#137	—	52	2	no	—
1173	AGL(1,ℤ/8)	—	4	2	no	—
1174	AGL(1,ℤ/8)	—	4	2	no	—
1175	AGL(1,ℤ/8)	—	52	2	no	—
1176	#135	—	52	2	no	—
1177	#135	—	52	2	no	—
1178	C₂×Q₁₆	—	13	1	no	—
1179	C₂×Q₁₆	—	13	1	no	—
1180	C₂×Q₁₆	—	13	1	no	—
1181	C₂×Q₁₆	—	13	1	no	—
1182	C₂×Q₁₆	—	13	1	no	—
1183	C₂×Q₁₆	—	13	1	no	—
1184	C₂×Q₁₆	—	52	2	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	13	1	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	52	2	no	—
1194	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1195	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×D₈	—	13	1	no	—
1199	C₂×D₈	—	13	1	no	—
1200	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1202	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1204	C₂×M₁₆	—	13	1	no	—
1205	C₂×M₁₆	—	13	1	no	—
1206	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1207	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂²×C₈	—	13	1	no	—
1209	C₂²×C₈	—	13	1	no	—
1210	C₂²×C₈	—	13	1	no	—
1211	C₂²×C₈	—	13	1	no	—
1212	C₄⋊Q₈	—	13	1	no	—
1213	C₄⋊Q₈	—	26	1	no	—
1214	#127	—	13	1	no	—
1215	#127	—	26	1	no	—
1216	#126	—	26	1	no	—
1217	#126	—	26	1	no	—
1218	#126	—	26	1	no	—
1219	#126	—	26	1	no	—
1220	#126	—	26	1	no	—
1221	#126	—	26	1	no	—
1222	#125	—	13	1	no	—
1223	#125	—	13	1	no	—
1224	#125	—	26	1	no	—
1225	#125	—	26	1	no	—
1226	#124	—	13	1	no	—
1227	#124	—	13	1	no	—
1228	#124	—	13	1	no	—
1229	#124	—	13	1	no	—
1230	#124	—	26	1	no	—
1231	#124	—	26	1	no	—
1232	#124	—	26	1	no	—
1233	#124	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	13	1	no	—
1258	C₂²⋊Q₈	—	13	1	no	—
1259	C₂²⋊Q₈	—	13	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	#121	—	2	1	no	—
1269	#121	—	2	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	C₂²×D₁₃	1	1	yes	characteristic
1293	#121	C₂²×D₁₃	1	1	yes	characteristic
1294	#121	C₂²×D₁₃	1	1	yes	characteristic
1295	#121	C₂²×D₁₃	1	1	yes	characteristic
1296	#120	—	26	1	no	—
1297	#120	—	26	1	no	—
1298	#120	—	26	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	C₄×Q₈	—	13	1	no	—
1307	C₄×Q₈	—	13	1	no	—
1308	C₄×Q₈	—	13	1	no	—
1309	C₄×Q₈	—	13	1	no	—
1310	C₄×D₄	—	13	1	no	—
1311	C₄×D₄	—	13	1	no	—
1312	C₄×D₄	—	13	1	no	—
1313	C₄×D₄	—	13	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	13	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	—	26	1	no	—
1338	C₄×D₄	—	26	1	no	—
1339	C₄×D₄	—	26	1	no	—
1340	C₄×D₄	—	26	1	no	—
1341	C₄×D₄	—	26	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	#117	—	13	1	no	—
1345	#117	—	13	1	no	—
1346	#117	—	13	1	no	—
1347	#117	—	26	1	no	—
1348	#117	—	26	1	no	—
1349	#117	—	26	1	no	—
1350	#117	—	26	1	no	—
1351	#117	—	26	1	no	—
1352	C₂×C₄⋊C₄	—	13	1	no	—
1353	C₂×C₄⋊C₄	—	13	1	no	—
1354	C₂×C₄⋊C₄	—	26	1	no	—
1355	C₂×C₄⋊C₄	—	26	1	no	—
1356	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1357	C₂×C₂²⋊C₄	—	2	1	no	—
1358	C₂×C₂²⋊C₄	—	13	1	no	—
1359	C₂×C₂²⋊C₄	—	13	1	no	—
1360	C₂×C₂²⋊C₄	—	26	1	no	—
1361	C₂×C₂²⋊C₄	—	26	1	no	—
1362	C₂×C₂²⋊C₄	—	26	1	no	—
1363	C₂×C₂²⋊C₄	—	26	1	no	—
1364	C₂×C₂²⋊C₄	—	26	1	no	—
1365	C₂×C₄²	—	13	1	no	—
1366	C₂×C₄²	—	26	1	no	—
1367	#107	—	13	1	no	—
1368	#107	—	13	1	no	—
1369	#107	—	13	1	no	—
1370	#107	—	13	1	no	—
1371	#106	—	13	1	no	—
1372	#106	—	13	1	no	—
1373	#106	—	13	1	no	—
1374	#106	—	13	1	no	—
1375	C₄⋊C₈	—	13	1	no	—
1376	C₄⋊C₈	—	13	1	no	—
1377	C₄⋊C₈	—	13	1	no	—
1378	C₄⋊C₈	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	C₂²×D₁₃	1	1	yes	characteristic
1392	#103	C₂²×D₁₃	1	1	yes	characteristic
1393	#103	C₂²×D₁₃	1	1	yes	characteristic
1394	#103	C₂²×D₁₃	1	1	yes	characteristic
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	C₂²×D₁₃	1	1	yes	characteristic
1409	#102	C₂²×D₁₃	1	1	yes	characteristic
1410	#102	C₂²×D₁₃	1	1	yes	characteristic
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	—	13	1	no	—
1416	C₂²⋊C₈	—	13	1	no	—
1417	C₂²⋊C₈	—	13	1	no	—
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1422	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1423	#97	—	13	1	no	—
1424	#97	—	13	1	no	—
1425	C₄×C₈	—	13	1	no	—
1426	C₄×C₈	—	13	1	no	—
1427	C₂×C₁₃	—	2	2	no	—
1428	C₂×C₁₃	—	4	1	no	—
1429	C₂×C₁₃	—	4	2	no	—
1430	C₂×C₁₃	—	4	1	no	—
1431	C₂×C₁₃	—	8	1	no	—
1432	C₂×C₁₃	—	8	1	no	—
1433	C₂×C₁₃	—	8	1	no	—
1434	C₂×C₁₃	#3484	1	1	yes	characteristic
1435	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1436	C₂×C₁₃	#3584	1	1	yes	characteristic
1437	D₁₃	—	4	1	no	—
1438	D₁₃	—	4	1	no	—
1439	D₁₃	—	8	1	no	—
1440	C₂⁴	—	2	1	no	—
1441	C₂⁴	—	2	1	no	—
1442	C₂⁴	—	13	1	no	—
1443	C₂⁴	—	26	1	no	—
1444	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1445	#41	—	2	2	no	—
1446	#41	—	2	2	no	—
1447	#41	—	2	2	no	—
1448	#41	—	2	2	no	—
1449	#41	—	4	1	no	—
1450	#41	—	4	1	no	—
1451	#41	—	4	1	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	4	no	—
1454	#41	—	4	4	no	—
1455	#41	—	26	2	no	—
1456	#41	—	26	2	no	—
1457	#41	—	52	1	no	—
1458	#41	—	52	1	no	—
1459	#41	—	52	4	no	—
1460	#41	—	52	1	no	—
1461	#41	—	52	1	no	—
1462	#41	—	52	1	no	—
1463	#41	—	52	1	no	—
1464	#41	—	52	1	no	—
1465	#41	—	52	1	no	—
1466	#41	—	52	4	no	—
1467	C₂×Q₈	—	2	1	no	—
1468	C₂×Q₈	—	2	2	no	—
1469	C₂×Q₈	—	4	1	no	—
1470	C₂×Q₈	—	13	1	no	—
1471	C₂×Q₈	—	13	1	no	—
1472	C₂×Q₈	—	13	1	no	—
1473	C₂×Q₈	—	26	1	no	—
1474	C₂×Q₈	—	26	1	no	—
1475	C₂×Q₈	—	26	2	no	—
1476	C₂×Q₈	—	52	1	no	—
1477	C₂×Q₈	—	52	1	no	—
1478	C₂×Q₈	—	52	1	no	—
1479	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1480	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	2	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	4	1	no	—
1493	C₂×D₄	—	4	1	no	—
1494	C₂×D₄	—	4	1	no	—
1495	C₂×D₄	—	4	4	no	—
1496	C₂×D₄	—	4	4	no	—
1497	C₂×D₄	—	13	1	no	—
1498	C₂×D₄	—	13	1	no	—
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	2	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	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	—	52	1	no	—
1518	C₂×D₄	—	52	4	no	—
1519	C₂×D₄	—	52	2	no	—
1520	C₂×D₄	—	52	4	no	—
1521	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1523	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	4	1	no	—
1532	C₂²×C₄	—	4	1	no	—
1533	C₂²×C₄	—	4	4	no	—
1534	C₂²×C₄	—	13	1	no	—
1535	C₂²×C₄	—	13	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	13	1	no	—
1538	C₂²×C₄	—	13	1	no	—
1539	C₂²×C₄	—	13	1	no	—
1540	C₂²×C₄	—	13	1	no	—
1541	C₂²×C₄	—	26	1	no	—
1542	C₂²×C₄	—	26	1	no	—
1543	C₂²×C₄	—	26	1	no	—
1544	C₂²×C₄	—	26	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	52	1	no	—
1554	C₂²×C₄	—	52	1	no	—
1555	C₂²×C₄	—	52	4	no	—
1556	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1557	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1558	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1559	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	Q₁₆	—	26	2	no	—
1563	Q₁₆	—	26	2	no	—
1564	Q₁₆	—	52	1	no	—
1565	Q₁₆	—	52	1	no	—
1566	Q₁₆	—	52	1	no	—
1567	Q₁₆	—	52	1	no	—
1568	SD₁₆	—	2	2	no	—
1569	SD₁₆	—	2	2	no	—
1570	SD₁₆	—	4	1	no	—
1571	SD₁₆	—	4	1	no	—
1572	SD₁₆	—	26	2	no	—
1573	SD₁₆	—	26	2	no	—
1574	SD₁₆	—	52	1	no	—
1575	SD₁₆	—	52	1	no	—
1576	SD₁₆	—	52	1	no	—
1577	SD₁₆	—	52	1	no	—
1578	SD₁₆	—	52	1	no	—
1579	SD₁₆	—	52	1	no	—
1580	D₈	—	2	2	no	—
1581	D₈	—	2	2	no	—
1582	D₈	—	4	1	no	—
1583	D₈	—	4	1	no	—
1584	D₈	—	52	1	no	—
1585	D₈	—	52	1	no	—
1586	M₁₆	—	4	1	no	—
1587	M₁₆	—	4	1	no	—
1588	M₁₆	—	52	1	no	—
1589	M₁₆	—	52	1	no	—
1590	C₂×C₈	—	13	1	no	—
1591	C₂×C₈	—	13	1	no	—
1592	C₂×C₈	—	13	1	no	—
1593	C₂×C₈	—	13	1	no	—
1594	C₂×C₈	—	52	1	no	—
1595	C₂×C₈	—	52	1	no	—
1596	C₂×C₈	—	52	1	no	—
1597	C₂×C₈	—	52	1	no	—
1598	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1600	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1601	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	13	1	no	—
1604	C₄⋊C₄	—	13	1	no	—
1605	C₄⋊C₄	—	13	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	13	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	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	C₂³×D₁₃	1	1	yes	characteristic
1633	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	13	1	no	—
1639	C₂²⋊C₄	—	13	1	no	—
1640	C₂²⋊C₄	—	13	1	no	—
1641	C₂²⋊C₄	—	13	1	no	—
1642	C₂²⋊C₄	—	13	1	no	—
1643	C₂²⋊C₄	—	13	1	no	—
1644	C₂²⋊C₄	—	13	1	no	—
1645	C₂²⋊C₄	—	13	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	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	C₄²	—	13	1	no	—
1678	C₄²	—	13	1	no	—
1679	C₄²	—	13	1	no	—
1680	C₄²	—	13	1	no	—
1681	C₄²	—	26	1	no	—
1682	C₄²	—	26	1	no	—
1683	C₄²	—	26	1	no	—
1684	C₄²	—	26	1	no	—
1685	C₄²	—	26	1	no	—
1686	C₄²	—	26	1	no	—
1687	C₄²	—	26	1	no	—
1688	C₁₃	#61606	1	1	yes	characteristic, complemented, Sylow
1689	C₂³	—	2	1	no	—
1690	C₂³	—	2	2	no	—
1691	C₂³	—	2	1	no	—
1692	C₂³	—	2	1	no	—
1693	C₂³	—	2	1	no	—
1694	C₂³	—	4	1	no	—
1695	C₂³	—	4	1	no	—
1696	C₂³	—	4	2	no	—
1697	C₂³	—	4	2	no	—
1698	C₂³	—	4	2	no	—
1699	C₂³	—	8	1	no	—
1700	C₂³	—	8	1	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	13	1	no	—
1703	C₂³	—	13	1	no	—
1704	C₂³	—	26	1	no	—
1705	C₂³	—	52	1	no	—
1706	C₂³	—	52	1	no	—
1707	C₂³	—	52	1	no	—
1708	C₂³	—	52	2	no	—
1709	C₂³	—	52	2	no	—
1710	C₂³	—	104	1	no	—
1711	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1713	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1714	Q₈	—	2	1	no	—
1715	Q₈	—	2	1	no	—
1716	Q₈	—	2	1	no	—
1717	Q₈	—	4	2	no	—
1718	Q₈	—	26	1	no	—
1719	Q₈	—	26	1	no	—
1720	Q₈	—	26	1	no	—
1721	Q₈	—	26	1	no	—
1722	Q₈	—	26	1	no	—
1723	Q₈	—	26	1	no	—
1724	Q₈	—	52	2	no	—
1725	Q₈	—	104	1	no	—
1726	Q₈	#88251	1	2	yes	—
1727	D₄	—	2	4	no	—
1728	D₄	—	2	1	no	—
1729	D₄	—	2	1	no	—
1730	D₄	—	2	1	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	4	2	no	—
1739	D₄	—	4	2	no	—
1740	D₄	—	4	2	no	—
1741	D₄	—	4	2	no	—
1742	D₄	—	4	2	no	—
1743	D₄	—	8	1	no	—
1744	D₄	—	26	2	no	—
1745	D₄	—	26	2	no	—
1746	D₄	—	26	1	no	—
1747	D₄	—	26	1	no	—
1748	D₄	—	52	2	no	—
1749	D₄	—	52	1	no	—
1750	D₄	—	52	1	no	—
1751	D₄	—	52	2	no	—
1752	D₄	—	52	2	no	—
1753	D₄	—	52	2	no	—
1754	D₄	—	52	2	no	—
1755	D₄	—	52	2	no	—
1756	D₄	—	52	2	no	—
1757	D₄	—	104	1	no	—
1758	D₄	—	104	1	no	—
1759	D₄	—	104	1	no	—
1760	D₄	—	104	1	no	—
1761	D₄	—	104	1	no	—
1762	D₄	—	104	1	no	—
1763	D₄	—	104	1	no	—
1764	D₄	#88251	1	2	yes	—
1765	C₂×C₄	—	2	4	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	2	no	—
1780	C₂×C₄	—	4	2	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	4	2	no	—
1784	C₂×C₄	—	13	1	no	—
1785	C₂×C₄	—	13	1	no	—
1786	C₂×C₄	—	13	1	no	—
1787	C₂×C₄	—	13	1	no	—
1788	C₂×C₄	—	13	1	no	—
1789	C₂×C₄	—	13	1	no	—
1790	C₂×C₄	—	26	1	no	—
1791	C₂×C₄	—	26	1	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	52	1	no	—
1802	C₂×C₄	—	52	1	no	—
1803	C₂×C₄	—	52	2	no	—
1804	C₂×C₄	—	52	2	no	—
1805	C₂×C₄	—	52	2	no	—
1806	C₂×C₄	—	52	1	no	—
1807	C₂×C₄	—	52	1	no	—
1808	C₂×C₄	—	52	1	no	—
1809	C₂×C₄	—	52	2	no	—
1810	C₂×C₄	—	52	2	no	—
1811	C₂×C₄	—	104	1	no	—
1812	C₂×C₄	—	104	1	no	—
1813	C₂×C₄	—	104	1	no	—
1814	C₂×C₄	—	104	1	no	—
1815	C₂×C₄	—	104	1	no	—
1816	C₂×C₄	—	104	1	no	—
1817	C₂×C₄	—	104	1	no	—
1818	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1819	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1820	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1821	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1822	C₈	—	2	1	no	—
1823	C₈	—	2	1	no	—
1824	C₈	—	2	1	no	—
1825	C₈	—	2	1	no	—
1826	C₈	—	26	1	no	—
1827	C₈	—	26	1	no	—
1828	C₈	—	26	1	no	—
1829	C₈	—	26	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	2	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	8	2	no	—
1851	C₂²	—	8	4	no	—
1852	C₂²	—	16	2	no	—
1853	C₂²	—	26	1	no	—
1854	C₂²	—	26	1	no	—
1855	C₂²	—	26	1	no	—
1856	C₂²	—	26	1	no	—
1857	C₂²	—	26	1	no	—
1858	C₂²	—	26	1	no	—
1859	C₂²	—	52	1	no	—
1860	C₂²	—	52	1	no	—
1861	C₂²	—	52	1	no	—
1862	C₂²	—	104	2	no	—
1863	C₂²	—	104	4	no	—
1864	C₂²	#11719478	1	2	yes	—
1865	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1866	C₄	—	2	1	no	—
1867	C₄	—	2	2	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	26	1	no	—
1874	C₄	—	26	1	no	—
1875	C₄	—	26	1	no	—
1876	C₄	—	26	1	no	—
1877	C₄	—	26	1	no	—
1878	C₄	—	26	1	no	—
1879	C₄	—	52	1	no	—
1880	C₄	—	52	1	no	—
1881	C₄	—	52	1	no	—
1882	C₄	—	52	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	—	52	1	no	—
1885	C₄	—	52	1	no	—
1886	C₄	C₂×#88251	1	1	yes	characteristic
1887	C₄	C₂×#88251	1	1	yes	characteristic
1888	C₂	—	2	2	no	—
1889	C₂	—	4	1	no	—
1890	C₂	—	4	1	no	—
1891	C₂	—	4	2	no	—
1892	C₂	—	8	1	no	—
1893	C₂	—	8	1	no	—
1894	C₂	—	8	1	no	—
1895	C₂	—	52	1	no	—
1896	C₂	—	52	1	no	—
1897	C₂	—	104	1	no	—
1898	C₂	#13128465	1	1	yes	characteristic
1899	C₂	C₂×#11719478	1	1	yes	characteristic
1900	C₂	#13129609	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×#3006	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3006	D₁₃
hypocenter	C₁₃	#61606
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3006

Complements

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

N	H ≅ G/N	type
1. #13128670	C₂	semidirect
2. #41×C₂²⋊D₁₃	C₂	semidirect
3. #13127105	C₂	semidirect
4. #13127053	C₂	semidirect
5. #13127011	C₂	semidirect
6. #13126981	C₂	semidirect
7. #13126963	C₂	semidirect
8. #13126933	C₂	semidirect
9. #13126742	C₂	semidirect
10. #13126690	C₂	semidirect
11. #13126570	C₂	semidirect
12. #13126547	C₂	semidirect
13. #13126467	C₂	semidirect
14. #13126441	C₂	semidirect
15. #13126399	C₂	semidirect
16. #13126370	C₂	semidirect
17. #13126355	C₂	semidirect
18. #13126335	C₂	semidirect
19. #13125871	C₂	semidirect
20. #13125809	C₂	semidirect
21. #13125675	C₂	semidirect
22. #13125668	C₂	semidirect
23. #13125626	C₂	semidirect
24. #13125601	C₂	semidirect
25. #13124938	C₂	semidirect
26. #13124847	C₂	semidirect
27. #13124074	C₂	semidirect
28. #13124051	C₂	semidirect
29. C₂×#11718900	C₂	semidirect
30. #13123872	C₂	semidirect
31. C₁₃×#3006	C₂	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
34. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₁₃×#121	C₂²	semidirect
39. #11719537	C₂²	semidirect
44. #11719533	C₂²	semidirect
45. #41×Dic₁₃	C₂²	semidirect
48. #11719522	C₂²	semidirect
49. Q₈×C₂²⋊D₁₃	C₂²	semidirect
50. C₂²×#6107	C₂²	semidirect
52. #11719511	C₂²	semidirect
53. #11719511	C₂²	semidirect
54. #11719511	C₂²	semidirect
57. D₄×C₂²⋊D₁₃	C₂²	semidirect
59. C₂²×#6105	C₂²	semidirect
64. C₂×#88178	C₂²	semidirect
65. C₂×#88170	C₂²	semidirect
66. C₂×#88169	C₂²	semidirect
67. C₂×#88166	C₂²	semidirect
68. C₂×#88165	C₂²	semidirect
70. #11719323	C₂²	semidirect
72. #11719311	C₂²	semidirect
73. #11719311	C₂²	semidirect
77. #11719305	C₂²	semidirect
78. #11719305	C₂²	semidirect
80. #11719303	C₂²	semidirect
81. #11719218	C₂²	semidirect
82. #11719218	C₂²	semidirect
87. C₁₃×#449	C₂²	semidirect
88. C₁₃×#449	C₂²	semidirect
89. C₁₃×#448	C₂²	semidirect
90. C₁₃×#448	C₂²	semidirect
91. C₁₃×#447	C₂²	semidirect
92. C₁₃×#447	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#417	C₂²	semidirect
95. C₁₃×#407	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718900	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718900	C₂²	semidirect
100. #11718900	C₂²	semidirect
101. #11718900	C₂²	semidirect
102. #11718900	C₂²	semidirect
103. #11718900	C₂²	semidirect
104. C₂×#88075	C₂²	semidirect
105. #11718879	C₂²	semidirect
106. #11718878	C₂²	semidirect
107. C₂×#88072	C₂²	semidirect
108. C₂×C₂²⋊#1055	C₂²	semidirect
109. #11718835	C₂²	semidirect
110. #11718834	C₂²	semidirect
111. #11718834	C₂²	semidirect
112. #11718833	C₂²	semidirect
113. #11718832	C₂²	semidirect
114. #11718831	C₂²	semidirect
115. #11718829	C₂²	semidirect
116. #11718828	C₂²	semidirect
117. #11718827	C₂²	semidirect
118. #11718827	C₂²	semidirect
119. #11718826	C₂²	semidirect
120. #11718825	C₂²	semidirect
121. #11718823	C₂²	semidirect
122. SD₁₆×Dic₁₃	C₂²	semidirect
123. #11718820	C₂²	semidirect
124. #11718819	C₂²	semidirect
125. #11718819	C₂²	semidirect
126. #11718819	C₂²	semidirect
127. #11718818	C₂²	semidirect
128. #11718817	C₂²	semidirect
129. #11718816	C₂²	semidirect
130. #11718815	C₂²	semidirect
131. #11718814	C₂²	semidirect
132. #11718814	C₂²	semidirect
133. #11718814	C₂²	semidirect
134. #11718813	C₂²	semidirect
135. #11718811	C₂²	semidirect
136. D₈×Dic₁₃	C₂²	semidirect
137. #11718798	C₂²	semidirect
138. #11718798	C₂²	semidirect
139. #11718795	C₂²	semidirect
140. #11718795	C₂²	semidirect
141. #11718789	C₂²	semidirect
142. #11718789	C₂²	semidirect
143. #11718788	C₂²	semidirect
144. #11718788	C₂²	semidirect
145. #11718702	C₂²	semidirect
146. #11718702	C₂²	semidirect
147. #11718699	C₂²	semidirect
148. #11718699	C₂²	semidirect
149. #11718698	C₂²	semidirect
150. #11718698	C₂²	semidirect
151. #11718696	C₂²	semidirect
152. #11718696	C₂²	semidirect
153. #11718631	C₂²	semidirect
154. #11718629	C₂²	semidirect
155. #11718477	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718475	C₂²	semidirect
158. #11718474	C₂²	semidirect
159. #11718471	C₂²	semidirect
160. #11718469	C₂²	semidirect
161. #11718465	C₂²	semidirect
162. #11718463	C₂²	semidirect
163. #11718461	C₂²	semidirect
164. #11718460	C₂²	semidirect
165. #11718459	C₂²	semidirect
166. #11718458	C₂²	semidirect
167. #11718457	C₂²	semidirect
168. #11718454	C₂²	semidirect
169. #11718451	C₂²	semidirect
170. #11718450	C₂²	semidirect
171. #11718445	C₂²	semidirect
172. #11718444	C₂²	semidirect
173. #11718441	C₂²	semidirect
174. #11718440	C₂²	semidirect
175. #11718439	C₂²	semidirect
176. #11718437	C₂²	semidirect
177. #11718433	C₂²	semidirect
178. #11718431	C₂²	semidirect
179. #11718429	C₂²	semidirect
180. #11718428	C₂²	semidirect
181. #11718427	C₂²	semidirect
182. #11718425	C₂²	semidirect
183. #11718424	C₂²	semidirect
184. #11718423	C₂²	semidirect
185. #11718419	C₂²	semidirect
186. #11718418	C₂²	semidirect
187. #11718400	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718396	C₂²	semidirect
190. #11718394	C₂²	semidirect
191. #11718394	C₂²	semidirect
192. #11718391	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718387	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718384	C₂²	semidirect
200. #11718383	C₂²	semidirect
201. #11718380	C₂²	semidirect
202. #11718379	C₂²	semidirect
765. #3006	D₁₃	semidirect
915. C₂×AGL(1,ℤ/8)	C₂×D₁₃	semidirect
916. C₂×AGL(1,ℤ/8)	C₂×D₁₃	semidirect
959. C₂×#121	C₂×D₁₃	semidirect
1042. #449	C₂×D₁₃	semidirect
1043. #449	C₂×D₁₃	semidirect
1046. #448	C₂×D₁₃	semidirect
1047. #448	C₂×D₁₃	semidirect
1050. #447	C₂×D₁₃	semidirect
1051. #447	C₂×D₁₃	semidirect
1072. #417	C₂×D₁₃	semidirect
1073. #417	C₂×D₁₃	semidirect
1079. #407	C₂×D₁₃	semidirect
1688. C₁₃	#61606	semidirect

Maximal subgroups

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

subgroup	index
#13128670	2
#41×C₂²⋊D₁₃	2
#13127105	2
#13127053	2
#13127011	2
#13126981	2
#13126963	2
#13126933	2
#13126742	2
#13126690	2
#13126570	2
#13126547	2
#13126467	2
#13126441	2
#13126399	2
#13126370	2
#13126355	2
#13126335	2
#13125871	2
#13125809	2
#13125675	2
#13125668	2
#13125626	2
#13125601	2
#13124938	2
#13124847	2
#13124074	2
#13124051	2
C₂×#11718900	2
#13123872	2
C₁₃×#3006	2
#61606	13