Subgroups — D₁₃×#3485 #16770955

Order 3328.

11686 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128481	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128480	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128479	C₂	1	2	yes	maximal, complemented
6	#13128478	C₂	1	2	yes	maximal, complemented
7	#13128477	C₂	1	4	yes	maximal, complemented
8	#13128476	C₂	1	1	yes	maximal, characteristic, complemented
9	#13128475	C₂	1	8	yes	maximal, complemented
10	#13128474	C₂	1	4	yes	maximal, complemented
11	#13128473	C₂	1	8	yes	maximal, complemented
12	D₁₃×#547	C₂	1	8	yes	maximal, complemented
13	D₁₃×#546	C₂	1	8	yes	maximal, complemented
14	D₁₃×#536	C₂	1	2	yes	maximal, complemented
15	D₁₃×#534	C₂	1	4	yes	maximal, complemented
16	D₁₃×#525	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×#123	C₂	1	4	yes	maximal, complemented
18	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
22	D₁₃×H(5,𝔽₂)	—	2	16	no	—
23	C₂×#88256	C₂²	1	4	yes	complemented
24	C₂×#88256	C₂²	1	2	yes	complemented
25	C₂×#41×D₁₃	—	2	16	no	—
26	C₂×#41×D₁₃	C₂²	1	2	yes	—
27	C₂×#41×D₁₃	C₂²	1	8	yes	complemented
28	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
29	C₂×#41×D₁₃	C₂²	1	8	yes	complemented
30	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
31	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic, complemented
33	C₂×#88251	C₂²	1	4	yes	complemented
34	C₂×#88251	C₂²	1	4	yes	complemented
35	C₂²×#6129	C₂²	1	2	yes	complemented
36	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₁₃	C₂²	1	4	yes	—
38	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
40	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
41	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#6127	C₂²	1	2	yes	complemented
43	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
44	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#547	C₂²	1	8	yes	complemented
46	C₁₃×#546	C₂²	1	8	yes	complemented
47	C₁₃×#536	C₂²	1	2	yes	complemented
48	C₁₃×#534	C₂²	1	4	yes	complemented
49	C₁₃×#525	C₂²	1	2	yes	complemented
50	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
51	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
52	#11719534	C₂²	1	8	yes	complemented
53	#11719533	C₂²	1	2	yes	complemented
54	#11719530	C₂²	1	2	yes	complemented
55	#11719529	C₂²	1	8	yes	complemented
56	#11719529	C₂²	1	8	yes	complemented
57	#11719521	C₂²	1	2	yes	complemented
58	#11719511	C₂²	1	8	yes	complemented
59	#11719509	C₂²	1	4	yes	complemented
60	#11719509	C₂²	1	4	yes	complemented
61	#11719503	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88189	C₂²	1	4	yes	complemented
63	#11719496	C₂²	1	2	yes	complemented
64	C₂×#88183	C₂²	1	4	yes	complemented
65	#11719431	C₂²	1	8	yes	complemented
66	#11719429	C₂²	1	4	yes	complemented
67	D₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
68	#11719381	C₂²	1	8	yes	complemented
69	#11719380	C₂²	1	4	yes	complemented
70	D₁₃×#124	C₂²	1	4	yes	complemented
71	#11719361	C₂²	1	4	yes	complemented
72	#11719360	C₂²	1	16	yes	complemented
73	#11719360	C₂²	1	16	yes	complemented
74	#11719359	C₂²	1	16	yes	complemented
75	#11719358	C₂²	1	8	yes	complemented
76	#11719358	C₂²	1	8	yes	complemented
77	D₁₃×#123	C₂²	1	16	yes	complemented
78	D₁₃×#123	C₂²	1	8	yes	complemented
79	D₁₃×#123	C₂²	1	4	yes	complemented
80	D₁₃×#123	C₂²	1	8	yes	complemented
81	D₁₃×#123	C₂²	1	16	yes	complemented
82	D₁₃×#123	C₂²	1	8	yes	complemented
83	D₁₃×#123	C₂²	1	8	yes	complemented
84	#11719353	C₂²	1	8	yes	complemented
85	#11719336	C₂²	1	8	yes	complemented
86	#11719336	C₂²	1	8	yes	complemented
87	#11719335	C₂²	1	8	yes	complemented
88	#11719333	C₂²	1	8	yes	complemented
89	#11719332	C₂²	1	4	yes	complemented
90	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
91	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
92	#11719317	C₂²	1	8	yes	complemented
93	#11719316	C₂²	1	16	yes	complemented
94	#11719315	C₂²	1	16	yes	complemented
95	#11719311	C₂²	1	4	yes	complemented
96	#11719310	C₂²	1	16	yes	complemented
97	D₁₃×#121	C₂²	1	4	yes	complemented
98	D₁₃×#121	C₂²	1	16	yes	complemented
99	#11719296	C₂²	1	16	yes	complemented
100	#11719294	C₂²	1	8	yes	complemented
101	#11719294	C₂²	1	8	yes	complemented
102	D₁₃×#120	C₂²	1	8	yes	complemented
103	D₁₃×#120	C₂²	1	4	yes	complemented
104	#11719291	C₂²	1	4	yes	complemented
105	#11719260	C₂²	1	8	yes	complemented
106	#11719259	C₂²	1	8	yes	complemented
107	#11719256	C₂²	1	8	yes	complemented
108	#11719255	C₂²	1	8	yes	complemented
109	#11719252	C₂²	1	8	yes	complemented
110	#11719250	C₂²	1	8	yes	complemented
111	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
112	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
113	#11719231	C₂²	1	2	yes	complemented
114	#11719229	C₂²	1	2	yes	complemented
115	#11719226	C₂²	1	2	yes	complemented
116	D₁₃×#117	C₂²	1	2	yes	complemented
117	#11719212	C₂²	1	16	yes	complemented
118	C₂×#88148	C₂²	1	8	yes	complemented
119	C₂×C₄⋊C₄×D₁₃	C₂²	1	8	yes	complemented
120	#11719198	C₂²	1	4	yes	complemented
121	C₂×#88140	C₂²	1	4	yes	complemented
122	#11719195	C₂²	1	16	yes	complemented
123	C₂×#88137	C₂²	1	8	yes	complemented
124	#11719191	C₂²	1	4	yes	complemented
125	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
126	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	complemented
127	C₂⁴×D₁₃	C₂³	1	4	yes	—
128	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
129	C₂⁴×D₁₃	C₂³	1	2	yes	—
130	C₁₃×H(5,𝔽₂)	—	2	8	no	—
131	C₂×C₁₃×#41	—	2	8	no	—
132	C₂×C₁₃×#41	C₂³	1	2	yes	—
133	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
134	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
135	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
136	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
139	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
140	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
142	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
143	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
144	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
146	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
147	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
148	C₂³×Dic₁₃	C₂³	1	2	yes	complemented
149	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
150	#88256	—	2	32	no	—
151	#88256	—	2	16	no	—
152	#41×D₁₃	—	2	64	no	—
153	#41×D₁₃	—	2	32	no	—
154	#41×D₁₃	—	2	64	no	—
155	#41×D₁₃	—	2	16	no	—
156	C₂×#6131	—	2	8	no	—
157	C₂×#6131	C₂³	1	2	yes	—
158	C₂×#6131	C₂³	1	4	yes	complemented
159	C₂×#6131	C₂³	1	8	yes	complemented
160	C₂×Q₈×D₁₃	—	2	8	no	—
161	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
162	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
163	C₂×Q₈×D₁₃	C₂³	1	4	yes	complemented
164	#88251	—	2	8	no	—
165	#88251	—	2	32	no	—
166	#88251	—	2	32	no	—
167	C₂×#6129	—	2	8	no	—
168	C₂×#6129	—	2	16	no	—
169	C₂×#6129	C₂³	1	4	yes	—
170	C₂×#6129	C₂³	1	2	yes	—
171	C₂×#6129	C₂³	1	8	yes	complemented
172	C₂×#6129	C₂³	1	4	yes	complemented
173	C₂×#6129	C₂³	1	16	yes	complemented
174	C₂×#6129	C₂³	1	8	yes	complemented
175	C₂×D₄×D₁₃	—	2	32	no	—
176	C₂×D₄×D₁₃	—	2	16	no	—
177	C₂×D₄×D₁₃	—	2	32	no	—
178	C₂×D₄×D₁₃	D₄	1	16	yes	complemented
179	C₂×D₄×D₁₃	C₂³	1	8	yes	—
180	C₂×D₄×D₁₃	C₂³	1	4	yes	—
181	C₂×D₄×D₁₃	C₂³	1	8	yes	—
182	C₂×D₄×D₁₃	C₂³	1	8	yes	—
183	C₂×D₄×D₁₃	C₂³	1	2	yes	—
184	C₂×D₄×D₁₃	C₂³	1	8	yes	—
185	C₂×D₄×D₁₃	C₂³	1	8	yes	—
186	C₂×D₄×D₁₃	C₂³	1	4	yes	—
187	C₂×D₄×D₁₃	C₂³	1	4	yes	—
188	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
189	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
190	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
191	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
192	C₂×#6127	—	2	16	no	—
193	C₂×#6127	—	2	8	no	—
194	C₂×#6127	C₂³	1	2	yes	—
195	C₂×#6127	C₂³	1	4	yes	—
196	C₂×#6127	C₂³	1	16	yes	complemented
197	C₂×#6127	C₂³	1	8	yes	complemented
198	C₂×#6127	C₂³	1	8	yes	complemented
199	C₂×#6127	C₂³	1	4	yes	complemented
200	C₂²×D₅₂	C₂³	1	4	yes	—
201	C₂²×D₅₂	C₂³	1	1	yes	characteristic
202	C₂²×D₅₂	C₂³	1	4	yes	complemented
203	C₂²×D₅₂	C₂³	1	2	yes	complemented
204	C₂²×C₄×D₁₃	—	2	16	no	—
205	C₂²×C₄×D₁₃	—	2	8	no	—
206	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
207	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
208	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
209	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
215	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
216	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
217	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
218	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
220	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
221	C₂²×Dic₂₆	C₂³	1	2	yes	complemented
222	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
223	C₁₃×#124	C₂³	1	4	yes	complemented
224	C₁₃×#123	C₂³	1	4	yes	complemented
225	C₁₃×#123	C₂³	1	8	yes	complemented
226	C₁₃×#123	C₂³	1	16	yes	complemented
227	C₁₃×#123	C₂³	1	8	yes	complemented
228	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
229	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
230	C₁₃×#121	C₂³	1	4	yes	complemented
231	C₁₃×#121	C₂³	1	16	yes	complemented
232	C₁₃×#120	C₂³	1	4	yes	complemented
233	C₁₃×#120	C₂³	1	8	yes	complemented
234	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
235	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
236	C₁₃×#117	C₂³	1	2	yes	complemented
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
238	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
239	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
240	#88207	C₂³	1	8	yes	complemented
241	#88207	C₂³	1	4	yes	complemented
242	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
243	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
244	#88201	C₂³	1	4	yes	complemented
245	#88200	C₂³	1	4	yes	complemented
246	#88200	C₂³	1	8	yes	complemented
247	#88198	C₂³	1	4	yes	complemented
248	#88198	C₂³	1	4	yes	complemented
249	#88193	C₂³	1	8	yes	complemented
250	#88193	C₂³	1	16	yes	complemented
251	#88193	C₂³	1	16	yes	complemented
252	#88192	C₂³	1	4	yes	complemented
253	#88192	C₂³	1	16	yes	complemented
254	#88191	C₂³	1	8	yes	complemented
255	#88191	C₂³	1	4	yes	complemented
256	#88191	C₂³	1	8	yes	complemented
257	#88191	C₂³	1	16	yes	complemented
258	#88190	C₂³	1	4	yes	complemented
259	#88189	C₂³	1	4	yes	complemented
260	#88189	C₂³	1	8	yes	complemented
261	#88189	C₂³	1	16	yes	complemented
262	#88189	C₂³	1	8	yes	complemented
263	D₄×Dic₁₃	C₂³	1	8	yes	complemented
264	D₄×Dic₁₃	C₂³	1	8	yes	complemented
265	#88184	C₂³	1	16	yes	complemented
266	#88184	C₂³	1	4	yes	complemented
267	#88183	C₂³	1	16	yes	complemented
268	#88183	C₂³	1	8	yes	complemented
269	#88183	C₂³	1	4	yes	complemented
270	#88183	C₂³	1	8	yes	complemented
271	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
272	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
273	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
274	C₂×#6103	C₂³	1	8	yes	complemented
275	C₂×#6103	C₂³	1	8	yes	complemented
276	C₂×#6103	C₂³	1	8	yes	complemented
277	#88180	C₂³	1	2	yes	complemented
278	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
279	#88178	C₂³	1	4	yes	complemented
280	#88178	C₂³	1	8	yes	complemented
281	C₂×#6101	C₂³	1	8	yes	complemented
282	C₂×#6101	C₂³	1	8	yes	complemented
283	#88151	C₂³	1	4	yes	complemented
284	#88151	C₂³	1	8	yes	complemented
285	#88150	C₂³	1	16	yes	complemented
286	#88150	C₂³	1	8	yes	complemented
287	#88149	C₂³	1	16	yes	complemented
288	#88149	C₂³	1	4	yes	complemented
289	#88148	C₂³	1	16	yes	complemented
290	#88148	C₂³	1	16	yes	complemented
291	#88148	C₂³	1	16	yes	complemented
292	#88148	C₂³	1	8	yes	complemented
293	#88148	C₂³	1	16	yes	complemented
294	#88147	C₂³	1	8	yes	complemented
295	#88147	C₂³	1	8	yes	complemented
296	#88146	C₂³	1	4	yes	complemented
297	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
298	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
299	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
300	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
301	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
302	#88142	C₂³	1	16	yes	complemented
303	#88140	C₂³	1	4	yes	complemented
304	#88140	C₂³	1	8	yes	complemented
305	#88140	C₂³	1	16	yes	complemented
306	#88140	C₂³	1	8	yes	complemented
307	#88139	C₂³	1	16	yes	complemented
308	#88138	C₂³	1	8	yes	complemented
309	#88138	C₂³	1	16	yes	complemented
310	#88138	C₂³	1	16	yes	complemented
311	#88137	C₂³	1	8	yes	complemented
312	#88137	C₂³	1	16	yes	complemented
313	#88137	C₂³	1	16	yes	complemented
314	#88137	C₂³	1	16	yes	complemented
315	#88137	C₂³	1	16	yes	complemented
316	#88136	C₂³	1	16	yes	complemented
317	#88136	C₂³	1	4	yes	complemented
318	#88136	C₂³	1	8	yes	complemented
319	#88136	C₂³	1	8	yes	complemented
320	#88135	C₂³	1	16	yes	complemented
321	#88135	C₂³	1	8	yes	complemented
322	#88135	C₂³	1	8	yes	complemented
323	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
324	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
325	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
326	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
330	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
331	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
332	#88132	C₂³	1	16	yes	complemented
333	#88132	C₂³	1	8	yes	complemented
334	#88131	C₂³	1	4	yes	complemented
335	#88129	C₂³	1	4	yes	complemented
336	C₄×D₅₂	C₂³	1	8	yes	complemented
337	C₄×D₅₂	C₂³	1	8	yes	complemented
338	#88126	C₂³	1	4	yes	complemented
339	C₄²×D₁₃	C₂³	1	4	yes	—
340	#88123	C₂³	1	4	yes	complemented
341	C₂×#3485	—	13	1	no	maximal, Sylow
342	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
343	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
345	C₂³×D₁₃	—	2	4	no	—
346	C₂³×D₁₃	—	2	16	no	—
347	C₂³×D₁₃	—	4	8	no	—
348	C₂³×D₁₃	—	4	4	no	—
349	C₂³×D₁₃	—	4	16	no	—
350	C₂³×D₁₃	C₂×D₄	1	16	yes	—
351	C₂³×D₁₃	C₂⁴	1	4	yes	—
352	C₂³×D₁₃	C₂⁴	1	2	yes	—
353	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₁₃	C₂⁴	1	4	yes	—
355	C₂³×D₁₃	C₂⁴	1	8	yes	—
356	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₁₃	C₂⁴	1	2	yes	—
358	C₂³×D₁₃	C₂⁴	1	4	yes	—
359	C₂³×D₁₃	C₂⁴	1	2	yes	—
360	C₂³×D₁₃	C₂⁴	1	4	yes	—
361	C₁₃×#41	—	2	32	no	—
362	C₁₃×#41	—	2	16	no	—
363	C₁₃×#41	—	2	8	no	—
364	C₂×Q₈×C₁₃	—	2	4	no	—
365	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
367	C₂×D₄×C₁₃	—	2	8	no	—
368	C₂×D₄×C₁₃	—	2	16	no	—
369	C₂×D₄×C₁₃	—	2	16	no	—
370	C₂×D₄×C₁₃	C₂×D₄	1	8	yes	complemented
371	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
373	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
374	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
376	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₁₃	—	2	8	no	—
378	C₂²×C₄×C₁₃	—	2	4	no	—
379	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₂²⋊D₁₃	—	2	8	no	—
388	C₂×C₂²⋊D₁₃	—	2	16	no	—
389	C₂×C₂²⋊D₁₃	—	2	8	no	—
390	C₂×C₂²⋊D₁₃	—	2	16	no	—
391	C₂×C₂²⋊D₁₃	—	2	32	no	—
392	C₂×C₂²⋊D₁₃	C₂×D₄	1	16	yes	complemented
393	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
395	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
396	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
399	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
403	C₂²×Dic₁₃	—	2	8	no	—
404	C₂²×Dic₁₃	—	2	4	no	—
405	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
406	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
407	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
410	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
411	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	#6131	—	2	32	no	—
414	#6131	—	2	16	no	—
415	#6131	—	2	8	no	—
416	Q₈×D₁₃	—	2	16	no	—
417	Q₈×D₁₃	—	2	16	no	—
418	Q₈×D₁₃	—	2	8	no	—
419	#6129	—	2	32	no	—
420	#6129	—	2	16	no	—
421	#6129	—	2	64	no	—
422	#6129	—	2	32	no	—
423	#6129	—	2	16	no	—
424	#6129	—	2	8	no	—
425	D₄×D₁₃	—	2	16	no	—
426	D₄×D₁₃	—	2	32	no	—
427	D₄×D₁₃	—	2	32	no	—
428	D₄×D₁₃	—	2	32	no	—
429	D₄×D₁₃	—	2	32	no	—
430	D₄×D₁₃	—	2	32	no	—
431	D₄×D₁₃	—	2	16	no	—
432	D₄×D₁₃	—	2	32	no	—
433	D₄×D₁₃	—	2	16	no	—
434	D₄×D₁₃	—	2	8	no	—
435	D₄×D₁₃	—	4	16	no	—
436	D₄×D₁₃	C₂×D₄	1	32	yes	—
437	D₄×D₁₃	C₂×D₄	1	32	yes	complemented
438	#6127	—	2	8	no	—
439	#6127	—	2	64	no	—
440	#6127	—	2	32	no	—
441	#6127	—	2	32	no	—
442	#6127	—	2	16	no	—
443	#6127	—	2	16	no	—
444	C₂×D₅₂	—	2	16	no	—
445	C₂×D₅₂	—	2	8	no	—
446	C₂×D₅₂	—	2	16	no	—
447	C₂×D₅₂	C₂×D₄	1	8	yes	complemented
448	C₂×D₅₂	C₂⁴	1	2	yes	—
449	C₂×D₅₂	C₂⁴	1	8	yes	—
450	C₂×D₅₂	C₂⁴	1	4	yes	—
451	C₂×D₅₂	C₂⁴	1	8	yes	—
452	C₂×D₅₂	C₂⁴	1	8	yes	—
453	C₂×D₅₂	C₂⁴	1	4	yes	—
454	C₂×C₄×D₁₃	—	2	4	no	—
455	C₂×C₄×D₁₃	—	2	8	no	—
456	C₂×C₄×D₁₃	—	2	32	no	—
457	C₂×C₄×D₁₃	—	2	8	no	—
458	C₂×C₄×D₁₃	—	2	8	no	—
459	C₂×C₄×D₁₃	—	2	32	no	—
460	C₂×C₄×D₁₃	—	2	16	no	—
461	C₂×C₄×D₁₃	—	2	4	no	—
462	C₂×C₄×D₁₃	—	2	4	no	—
463	C₂×C₄×D₁₃	—	2	16	no	—
464	C₂×C₄×D₁₃	—	2	16	no	—
465	C₂×C₄×D₁₃	—	2	16	no	—
466	C₂×C₄×D₁₃	—	4	16	no	—
467	C₂×C₄×D₁₃	C₂×D₄	1	8	yes	—
468	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
469	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
470	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
471	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
472	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
473	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
474	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
475	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
476	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
477	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
478	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
479	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
480	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
481	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
482	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
483	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
484	C₂×Dic₂₆	—	2	4	no	—
485	C₂×Dic₂₆	—	2	8	no	—
486	C₂×Dic₂₆	C₂⁴	1	2	yes	—
487	C₂×Dic₂₆	C₂⁴	1	4	yes	—
488	C₂×Dic₂₆	C₂⁴	1	8	yes	—
489	C₂×Dic₂₆	C₂⁴	1	4	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
493	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
495	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
497	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₄²×C₁₃	C₂⁴	1	4	yes	—
499	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
500	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
501	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
503	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	#6103	C₂⁴	1	8	yes	—
506	#6103	C₂⁴	1	16	yes	—
507	#6103	C₂⁴	1	8	yes	—
508	#6103	C₂⁴	1	16	yes	—
509	#6103	C₂⁴	1	8	yes	—
510	#6103	C₂⁴	1	16	yes	—
511	#6103	C₂⁴	1	8	yes	—
512	C₄⋊Dic₁₃	C₂⁴	1	16	yes	—
513	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
514	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	#6101	C₂⁴	1	8	yes	—
517	#6101	C₂⁴	1	16	yes	—
518	#6101	C₂⁴	1	8	yes	—
519	#6101	C₂⁴	1	16	yes	—
520	C₄×Dic₁₃	C₂⁴	1	4	yes	—
521	C₄×Dic₁₃	C₂⁴	1	8	yes	—
522	C₂²×H(5,𝔽₂)	—	13	1	no	—
523	C₂³×#41	—	13	1	no	—
524	#3485	—	13	1	no	—
525	#3485	—	13	1	no	—
526	#3485	—	13	8	no	—
527	#3485	—	13	8	no	—
528	#3485	—	13	2	no	—
529	#3485	—	13	4	no	—
530	#3485	—	13	2	no	—
531	#3485	—	13	4	no	—
532	#3485	—	13	1	no	—
533	#3485	D₁₃	1	1	yes	characteristic, direct product factor
534	C₂×#547	—	13	8	no	—
535	C₂×#546	—	13	8	no	—
536	C₂×#536	—	13	2	no	—
537	C₂×#534	—	13	4	no	—
538	C₂×#525	—	13	2	no	—
539	C₂²×#123	—	13	4	no	—
540	C₂×#518	—	13	1	no	—
541	C₂³×C₁₃	—	2	2	no	—
542	C₂³×C₁₃	—	2	8	no	—
543	C₂³×C₁₃	—	4	4	no	—
544	C₂³×C₁₃	—	4	2	no	—
545	C₂³×C₁₃	—	4	8	no	—
546	C₂³×C₁₃	C₂²×D₄	1	8	yes	—
547	C₂³×C₁₃	C₂⁵	1	4	yes	—
548	C₂³×C₁₃	C₂⁵	1	2	yes	—
549	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
550	C₂³×C₁₃	C₂⁵	1	4	yes	—
551	C₂²×D₁₃	—	2	16	no	—
552	C₂²×D₁₃	—	2	4	no	—
553	C₂²×D₁₃	—	2	2	no	—
554	C₂²×D₁₃	—	2	8	no	—
555	C₂²×D₁₃	—	2	4	no	—
556	C₂²×D₁₃	—	2	4	no	—
557	C₂²×D₁₃	—	2	8	no	—
558	C₂²×D₁₃	—	2	8	no	—
559	C₂²×D₁₃	—	2	16	no	—
560	C₂²×D₁₃	—	2	16	no	—
561	C₂²×D₁₃	—	4	32	no	—
562	C₂²×D₁₃	—	4	4	no	—
563	C₂²×D₁₃	—	4	8	no	—
564	C₂²×D₁₃	—	4	4	no	—
565	C₂²×D₁₃	—	4	2	no	—
566	C₂²×D₁₃	—	4	16	no	—
567	C₂²×D₁₃	—	4	8	no	—
568	C₂²×D₁₃	—	4	16	no	—
569	C₂²×D₁₃	—	8	32	no	—
570	C₂²×D₁₃	C₂²×D₄	1	4	yes	—
571	C₂²×D₁₃	C₂²×D₄	1	16	yes	—
572	C₂²×D₁₃	C₂²×D₄	1	8	yes	—
573	C₂²×D₁₃	C₂²×D₄	1	16	yes	—
574	C₂²×D₁₃	C₂⁵	1	4	yes	—
575	C₂²×D₁₃	C₂⁵	1	2	yes	—
576	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
577	C₂²×D₁₃	C₂⁵	1	4	yes	—
578	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
579	Q₈×C₁₃	—	2	8	no	—
580	Q₈×C₁₃	—	2	4	no	—
581	D₄×C₁₃	—	2	8	no	—
582	D₄×C₁₃	—	2	16	no	—
583	D₄×C₁₃	—	2	16	no	—
584	D₄×C₁₃	—	2	4	no	—
585	D₄×C₁₃	—	4	8	no	—
586	D₄×C₁₃	C₂²×D₄	1	16	yes	—
587	C₂×C₄×C₁₃	—	2	4	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	16	no	—
590	C₂×C₄×C₁₃	—	2	8	no	—
591	C₂×C₄×C₁₃	—	2	8	no	—
592	C₂×C₄×C₁₃	—	2	8	no	—
593	C₂×C₄×C₁₃	—	4	8	no	—
594	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
597	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂²⋊D₁₃	—	2	16	no	—
601	C₂²⋊D₁₃	—	2	8	no	—
602	C₂²⋊D₁₃	—	2	16	no	—
603	C₂²⋊D₁₃	—	2	16	no	—
604	C₂²⋊D₁₃	—	2	8	no	—
605	C₂²⋊D₁₃	—	2	16	no	—
606	C₂²⋊D₁₃	—	2	8	no	—
607	C₂²⋊D₁₃	—	4	8	no	—
608	C₂²⋊D₁₃	—	4	8	no	—
609	C₂²⋊D₁₃	C₂²×D₄	1	32	yes	—
610	C₂×Dic₁₃	—	2	4	no	—
611	C₂×Dic₁₃	—	2	2	no	—
612	C₂×Dic₁₃	—	2	16	no	—
613	C₂×Dic₁₃	—	2	8	no	—
614	C₂×Dic₁₃	—	2	8	no	—
615	C₂×Dic₁₃	—	2	8	no	—
616	C₂×Dic₁₃	—	4	8	no	—
617	C₂×Dic₁₃	C₂²×D₄	1	4	yes	—
618	C₂×Dic₁₃	C₂⁵	1	8	yes	—
619	C₂×Dic₁₃	C₂⁵	1	4	yes	—
620	C₂×Dic₁₃	C₂⁵	1	4	yes	—
621	C₂×Dic₁₃	C₂⁵	1	2	yes	—
622	C₂×Dic₁₃	C₂⁵	1	2	yes	—
623	D₅₂	—	2	8	no	—
624	D₅₂	—	2	16	no	—
625	D₅₂	—	2	16	no	—
626	D₅₂	—	2	4	no	—
627	D₅₂	—	4	8	no	—
628	D₅₂	C₂²×D₄	1	16	yes	—
629	C₄×D₁₃	—	2	4	no	—
630	C₄×D₁₃	—	2	4	no	—
631	C₄×D₁₃	—	2	16	no	—
632	C₄×D₁₃	—	2	8	no	—
633	C₄×D₁₃	—	2	8	no	—
634	C₄×D₁₃	—	2	8	no	—
635	C₄×D₁₃	—	2	16	no	—
636	C₄×D₁₃	—	2	16	no	—
637	C₄×D₁₃	—	2	16	no	—
638	C₄×D₁₃	—	2	8	no	—
639	C₄×D₁₃	—	2	8	no	—
640	C₄×D₁₃	—	2	8	no	—
641	C₄×D₁₃	—	2	8	no	—
642	C₄×D₁₃	—	4	16	no	—
643	C₄×D₁₃	C₂²×D₄	1	8	yes	—
644	C₄×D₁₃	C₂²×D₄	1	8	yes	—
645	Dic₂₆	—	2	8	no	—
646	Dic₂₆	—	2	4	no	—
647	Dic₂₆	—	2	16	no	—
648	Dic₂₆	—	2	8	no	—
649	C₂×H(5,𝔽₂)	—	13	2	no	—
650	C₂×H(5,𝔽₂)	—	13	4	no	—
651	C₂×H(5,𝔽₂)	—	13	4	no	—
652	C₂×H(5,𝔽₂)	—	13	1	no	—
653	C₂×H(5,𝔽₂)	—	13	4	no	—
654	C₂×H(5,𝔽₂)	—	26	16	no	—
655	C₂×H(5,𝔽₂)	C₂×D₁₃	1	1	yes	characteristic, complemented
656	C₂²×#41	—	13	2	no	—
657	C₂²×#41	—	13	8	no	—
658	C₂²×#41	—	13	8	no	—
659	C₂²×#41	—	13	4	no	—
660	C₂²×#41	—	13	1	no	—
661	C₂²×#41	—	13	1	no	—
662	C₂²×#41	—	13	2	no	—
663	C₂²×#41	—	13	1	no	—
664	C₂²×#41	—	13	2	no	—
665	C₂²×#41	—	26	16	no	—
666	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
667	C₂³×Q₈	—	13	1	no	—
668	C₂³×D₄	—	13	1	no	—
669	C₂³×D₄	—	13	4	no	—
670	C₂³×D₄	—	13	2	no	—
671	C₂³×D₄	—	13	4	no	—
672	C₂⁴×C₄	—	13	2	no	—
673	C₂⁴×C₄	—	13	1	no	—
674	#547	—	13	8	no	—
675	#547	—	13	8	no	—
676	#547	—	13	8	no	—
677	#547	—	13	16	no	—
678	#547	—	13	16	no	—
679	#547	—	13	8	no	—
680	#547	—	13	8	no	—
681	#547	—	13	16	no	—
682	#547	—	13	8	no	—
683	#547	—	13	8	no	—
684	#547	—	13	16	no	—
685	#547	C₂×D₁₃	1	8	yes	complemented
686	#546	—	13	8	no	—
687	#546	—	13	8	no	—
688	#546	—	13	8	no	—
689	#546	—	13	16	no	—
690	#546	—	13	8	no	—
691	#546	—	13	16	no	—
692	#546	—	13	8	no	—
693	#546	—	13	16	no	—
694	#546	—	13	8	no	—
695	#546	—	13	8	no	—
696	#546	—	13	16	no	—
697	#546	C₂×D₁₃	1	8	yes	complemented
698	#536	—	13	2	no	—
699	#536	—	13	2	no	—
700	#536	—	13	4	no	—
701	#536	—	13	4	no	—
702	#536	—	13	8	no	—
703	#536	—	13	8	no	—
704	#536	—	13	2	no	—
705	#536	C₂×D₁₃	1	2	yes	complemented
706	#534	—	13	4	no	—
707	#534	—	13	4	no	—
708	#534	—	13	8	no	—
709	#534	—	13	8	no	—
710	#534	—	13	16	no	—
711	#534	—	13	8	no	—
712	#534	—	13	8	no	—
713	#534	—	13	4	no	—
714	#534	C₂×D₁₃	1	4	yes	complemented
715	C₂×C₄⋊Q₈	—	13	4	no	—
716	C₂×#124	—	13	4	no	—
717	#525	—	13	2	no	—
718	#525	—	13	2	no	—
719	#525	—	13	4	no	—
720	#525	—	13	4	no	—
721	#525	—	13	4	no	—
722	#525	—	13	4	no	—
723	#525	—	13	8	no	—
724	#525	—	13	2	no	—
725	#525	C₂×D₁₃	1	2	yes	complemented
726	C₂×#123	—	13	4	no	—
727	C₂×#123	—	13	4	no	—
728	C₂×#123	—	13	4	no	—
729	C₂×#123	—	13	8	no	—
730	C₂×#123	—	13	16	no	—
731	C₂×#123	—	13	8	no	—
732	C₂×#123	—	13	8	no	—
733	C₂×#123	—	13	16	no	—
734	C₂×#123	—	13	8	no	—
735	C₂×#123	—	13	8	no	—
736	C₂×#123	—	13	8	no	—
737	C₂×#123	—	13	4	no	—
738	C₂×#123	C₂×D₁₃	1	4	yes	complemented
739	C₂×C₂²⋊Q₈	—	13	4	no	—
740	C₂×C₂²⋊Q₈	—	13	8	no	—
741	C₂×#121	—	13	4	no	—
742	C₂×#121	—	13	16	no	—
743	C₂×#120	—	13	4	no	—
744	C₂×#120	—	13	8	no	—
745	#518	—	13	1	no	—
746	#518	—	13	8	no	—
747	#518	—	13	2	no	—
748	#518	—	13	4	no	—
749	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
750	C₂×C₄×D₄	—	13	8	no	—
751	C₂×C₄×D₄	—	13	8	no	—
752	C₂×#117	—	13	2	no	—
753	C₂²×C₄⋊C₄	—	13	8	no	—
754	C₂²×C₂²⋊C₄	—	13	4	no	—
755	C₂²×C₂²⋊C₄	—	13	8	no	—
756	C₂²×C₁₃	—	2	8	no	—
757	C₂²×C₁₃	—	2	2	no	—
758	C₂²×C₁₃	—	2	2	no	—
759	C₂²×C₁₃	—	2	4	no	—
760	C₂²×C₁₃	—	2	4	no	—
761	C₂²×C₁₃	—	2	8	no	—
762	C₂²×C₁₃	—	4	8	no	—
763	C₂²×C₁₃	—	4	4	no	—
764	C₂²×C₁₃	—	8	8	no	—
765	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
766	C₂²×C₁₃	C₂³×D₄	1	8	yes	—
767	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
768	C₂×D₁₃	—	2	8	no	—
769	C₂×D₁₃	—	2	2	no	—
770	C₂×D₁₃	—	2	8	no	—
771	C₂×D₁₃	—	2	32	no	—
772	C₂×D₁₃	—	2	2	no	—
773	C₂×D₁₃	—	2	4	no	—
774	C₂×D₁₃	—	2	4	no	—
775	C₂×D₁₃	—	2	8	no	—
776	C₂×D₁₃	—	4	16	no	—
777	C₂×D₁₃	—	4	8	no	—
778	C₂×D₁₃	—	4	8	no	—
779	C₂×D₁₃	—	4	4	no	—
780	C₂×D₁₃	—	4	8	no	—
781	C₂×D₁₃	—	4	16	no	—
782	C₂×D₁₃	—	8	16	no	—
783	C₂×D₁₃	—	8	8	no	—
784	C₂×D₁₃	C₂³×D₄	1	2	yes	—
785	C₂×D₁₃	C₂³×D₄	1	8	yes	—
786	C₂×D₁₃	C₂³×D₄	1	2	yes	—
787	C₂×D₁₃	#585	1	4	yes	—
788	C₄×C₁₃	—	2	4	no	—
789	C₄×C₁₃	—	2	4	no	—
790	C₄×C₁₃	—	2	2	no	—
791	C₄×C₁₃	—	2	8	no	—
792	C₄×C₁₃	C₂³×D₄	1	4	yes	—
793	Dic₁₃	—	2	4	no	—
794	Dic₁₃	—	2	4	no	—
795	Dic₁₃	—	2	2	no	—
796	Dic₁₃	—	2	8	no	—
797	Dic₁₃	C₂³×D₄	1	4	yes	—
798	C₂⁵	—	13	2	no	—
799	C₂⁵	—	13	4	no	—
800	C₂⁵	—	13	1	no	—
801	H(5,𝔽₂)	—	2	8	no	—
802	H(5,𝔽₂)	—	26	32	no	—
803	H(5,𝔽₂)	—	26	32	no	—
804	H(5,𝔽₂)	—	26	32	no	—
805	H(5,𝔽₂)	—	26	16	no	—
806	H(5,𝔽₂)	—	26	8	no	—
807	C₂×#41	—	2	8	no	—
808	C₂×#41	—	13	2	no	—
809	C₂×#41	—	13	8	no	—
810	C₂×#41	—	13	4	no	—
811	C₂×#41	—	13	4	no	—
812	C₂×#41	—	13	2	no	—
813	C₂×#41	—	13	8	no	—
814	C₂×#41	—	13	16	no	—
815	C₂×#41	—	13	4	no	—
816	C₂×#41	—	13	8	no	—
817	C₂×#41	—	13	4	no	—
818	C₂×#41	—	13	2	no	—
819	C₂×#41	—	13	8	no	—
820	C₂×#41	—	13	16	no	—
821	C₂×#41	—	13	4	no	—
822	C₂×#41	—	13	8	no	—
823	C₂×#41	—	26	16	no	—
824	C₂×#41	—	26	8	no	—
825	C₂×#41	—	26	16	no	—
826	C₂×#41	—	26	16	no	—
827	C₂×#41	—	26	8	no	—
828	C₂×#41	—	26	64	no	—
829	C₂×#41	—	26	64	no	—
830	C₂×#41	—	26	32	no	—
831	C₂×#41	—	26	8	no	—
832	C₂×#41	C₂²×D₁₃	1	2	yes	—
833	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
834	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
835	C₂²×Q₈	—	13	4	no	—
836	C₂²×Q₈	—	13	2	no	—
837	C₂²×Q₈	—	13	4	no	—
838	C₂²×Q₈	—	13	2	no	—
839	C₂²×Q₈	—	13	1	no	—
840	C₂²×Q₈	—	26	8	no	—
841	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
842	C₂²×D₄	—	13	2	no	—
843	C₂²×D₄	—	13	16	no	—
844	C₂²×D₄	—	13	4	no	—
845	C₂²×D₄	—	13	4	no	—
846	C₂²×D₄	—	13	4	no	—
847	C₂²×D₄	—	13	4	no	—
848	C₂²×D₄	—	13	2	no	—
849	C₂²×D₄	—	13	2	no	—
850	C₂²×D₄	—	13	8	no	—
851	C₂²×D₄	—	13	8	no	—
852	C₂²×D₄	—	13	4	no	—
853	C₂²×D₄	—	13	8	no	—
854	C₂²×D₄	—	13	2	no	—
855	C₂²×D₄	—	13	8	no	—
856	C₂²×D₄	—	13	8	no	—
857	C₂²×D₄	—	13	8	no	—
858	C₂²×D₄	—	13	8	no	—
859	C₂²×D₄	—	13	4	no	—
860	C₂²×D₄	—	13	4	no	—
861	C₂²×D₄	—	13	8	no	—
862	C₂²×D₄	—	13	1	no	—
863	C₂²×D₄	—	13	4	no	—
864	C₂²×D₄	—	13	2	no	—
865	C₂²×D₄	—	13	4	no	—
866	C₂²×D₄	—	26	32	no	—
867	C₂²×D₄	—	26	16	no	—
868	C₂²×D₄	—	26	32	no	—
869	C₂²×D₄	C₂²×D₁₃	1	4	yes	—
870	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
871	C₂²×D₄	C₂²×D₁₃	1	2	yes	complemented
872	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
873	C₂³×C₄	—	13	1	no	—
874	C₂³×C₄	—	13	2	no	—
875	C₂³×C₄	—	13	1	no	—
876	C₂³×C₄	—	13	8	no	—
877	C₂³×C₄	—	13	4	no	—
878	C₂³×C₄	—	13	4	no	—
879	C₂³×C₄	—	13	4	no	—
880	C₂³×C₄	—	13	1	no	—
881	C₂³×C₄	—	13	2	no	—
882	C₂³×C₄	—	13	8	no	—
883	C₂³×C₄	—	13	2	no	—
884	C₂³×C₄	—	13	2	no	—
885	C₂³×C₄	—	13	1	no	—
886	C₂³×C₄	—	13	4	no	—
887	C₂³×C₄	—	13	1	no	—
888	C₂³×C₄	—	13	8	no	—
889	C₂³×C₄	—	26	8	no	—
890	C₂³×C₄	—	26	16	no	—
891	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
892	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
893	C₄⋊Q₈	—	13	4	no	—
894	C₄⋊Q₈	—	13	4	no	—
895	C₄⋊Q₈	—	13	16	no	—
896	C₄⋊Q₈	—	13	4	no	—
897	C₄⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
898	#124	—	13	4	no	—
899	#124	—	13	4	no	—
900	#124	—	13	16	no	—
901	#124	—	13	4	no	—
902	#124	C₂²×D₁₃	1	4	yes	complemented
903	#123	—	13	4	no	—
904	#123	—	13	8	no	—
905	#123	—	13	16	no	—
906	#123	—	13	8	no	—
907	#123	—	13	4	no	—
908	#123	—	13	8	no	—
909	#123	—	13	16	no	—
910	#123	—	13	8	no	—
911	#123	—	13	8	no	—
912	#123	—	13	16	no	—
913	#123	—	13	16	no	—
914	#123	—	13	16	no	—
915	#123	—	13	16	no	—
916	#123	—	13	8	no	—
917	#123	—	13	4	no	—
918	#123	—	13	16	no	—
919	#123	—	13	8	no	—
920	#123	—	13	16	no	—
921	#123	—	13	16	no	—
922	#123	—	13	16	no	—
923	#123	—	13	16	no	—
924	#123	—	13	8	no	—
925	#123	C₂²×D₁₃	1	4	yes	complemented
926	#123	C₂²×D₁₃	1	8	yes	complemented
927	#123	C₂²×D₁₃	1	16	yes	complemented
928	#123	C₂²×D₁₃	1	8	yes	complemented
929	C₂²⋊Q₈	—	13	4	no	—
930	C₂²⋊Q₈	—	13	8	no	—
931	C₂²⋊Q₈	—	13	4	no	—
932	C₂²⋊Q₈	—	13	8	no	—
933	C₂²⋊Q₈	—	13	8	no	—
934	C₂²⋊Q₈	—	13	4	no	—
935	C₂²⋊Q₈	—	13	16	no	—
936	C₂²⋊Q₈	—	13	8	no	—
937	C₂²⋊Q₈	—	13	8	no	—
938	C₂²⋊Q₈	—	13	16	no	—
939	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
940	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
941	#121	—	13	4	no	—
942	#121	—	13	8	no	—
943	#121	—	13	16	no	—
944	#121	—	13	16	no	—
945	#121	—	13	16	no	—
946	#121	—	13	4	no	—
947	#121	—	13	16	no	—
948	#121	—	13	4	no	—
949	#121	—	13	16	no	—
950	#121	—	13	8	no	—
951	#121	—	13	16	no	—
952	#121	—	13	16	no	—
953	#121	C₂²×D₁₃	1	4	yes	complemented
954	#121	C₂²×D₁₃	1	16	yes	complemented
955	#120	—	13	4	no	—
956	#120	—	13	8	no	—
957	#120	—	13	4	no	—
958	#120	—	13	8	no	—
959	#120	—	13	8	no	—
960	#120	—	13	16	no	—
961	#120	—	13	8	no	—
962	#120	—	13	4	no	—
963	#120	—	13	16	no	—
964	#120	—	13	8	no	—
965	#120	C₂²×D₁₃	1	4	yes	complemented
966	#120	C₂²×D₁₃	1	8	yes	complemented
967	C₄×D₄	—	13	8	no	—
968	C₄×D₄	—	13	8	no	—
969	C₄×D₄	—	13	16	no	—
970	C₄×D₄	—	13	8	no	—
971	C₄×D₄	—	13	8	no	—
972	C₄×D₄	—	13	8	no	—
973	C₄×D₄	—	13	8	no	—
974	C₄×D₄	—	13	16	no	—
975	C₄×D₄	—	13	8	no	—
976	C₄×D₄	—	13	8	no	—
977	C₄×D₄	—	13	8	no	—
978	C₄×D₄	—	13	8	no	—
979	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
980	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
981	#117	—	13	2	no	—
982	#117	—	13	4	no	—
983	#117	—	13	4	no	—
984	#117	—	13	4	no	—
985	#117	C₂²×D₁₃	1	2	yes	complemented
986	C₂×C₄⋊C₄	—	13	8	no	—
987	C₂×C₄⋊C₄	—	13	8	no	—
988	C₂×C₄⋊C₄	—	13	8	no	—
989	C₂×C₄⋊C₄	—	13	8	no	—
990	C₂×C₄⋊C₄	—	13	16	no	—
991	C₂×C₄⋊C₄	—	13	16	no	—
992	C₂×C₄⋊C₄	—	13	16	no	—
993	C₂×C₄⋊C₄	—	13	4	no	—
994	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
995	C₂×C₂²⋊C₄	—	13	4	no	—
996	C₂×C₂²⋊C₄	—	13	8	no	—
997	C₂×C₂²⋊C₄	—	13	8	no	—
998	C₂×C₂²⋊C₄	—	13	8	no	—
999	C₂×C₂²⋊C₄	—	13	8	no	—
1000	C₂×C₂²⋊C₄	—	13	4	no	—
1001	C₂×C₂²⋊C₄	—	13	8	no	—
1002	C₂×C₂²⋊C₄	—	13	8	no	—
1003	C₂×C₂²⋊C₄	—	13	8	no	—
1004	C₂×C₂²⋊C₄	—	13	8	no	—
1005	C₂×C₂²⋊C₄	—	13	16	no	—
1006	C₂×C₂²⋊C₄	—	13	16	no	—
1007	C₂×C₂²⋊C₄	—	13	16	no	—
1008	C₂×C₂²⋊C₄	—	13	8	no	—
1009	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1010	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1011	C₂×C₄²	—	13	4	no	—
1012	C₂×C₁₃	—	2	2	no	—
1013	C₂×C₁₃	—	2	8	no	—
1014	C₂×C₁₃	—	4	2	no	—
1015	C₂×C₁₃	—	4	4	no	—
1016	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
1017	C₂×C₁₃	C₂×#585	1	2	yes	—
1018	D₁₃	—	2	2	no	—
1019	D₁₃	—	2	8	no	—
1020	D₁₃	—	4	2	no	—
1021	D₁₃	—	4	4	no	—
1022	D₁₃	#3485	1	4	yes	direct product factor
1023	C₂⁴	—	13	1	no	—
1024	C₂⁴	—	13	4	no	—
1025	C₂⁴	—	13	16	no	—
1026	C₂⁴	—	13	4	no	—
1027	C₂⁴	—	13	2	no	—
1028	C₂⁴	—	13	4	no	—
1029	C₂⁴	—	13	2	no	—
1030	C₂⁴	—	13	8	no	—
1031	C₂⁴	—	13	4	no	—
1032	C₂⁴	—	13	2	no	—
1033	C₂⁴	—	13	1	no	—
1034	C₂⁴	—	26	4	no	—
1035	C₂⁴	—	26	16	no	—
1036	C₂⁴	—	52	8	no	—
1037	C₂⁴	—	52	4	no	—
1038	C₂⁴	—	52	16	no	—
1039	C₂⁴	C₂³×D₁₃	1	4	yes	—
1040	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1041	C₂⁴	C₂³×D₁₃	1	2	yes	—
1042	#41	—	2	32	no	—
1043	#41	—	2	16	no	—
1044	#41	—	2	8	no	—
1045	#41	—	26	16	no	—
1046	#41	—	26	64	no	—
1047	#41	—	26	32	no	—
1048	#41	—	26	32	no	—
1049	#41	—	26	16	no	—
1050	#41	—	26	16	no	—
1051	#41	—	26	8	no	—
1052	#41	—	26	8	no	—
1053	#41	—	26	64	no	—
1054	#41	—	26	32	no	—
1055	#41	—	26	32	no	—
1056	#41	—	26	16	no	—
1057	#41	—	26	32	no	—
1058	#41	—	26	16	no	—
1059	#41	—	26	8	no	—
1060	C₂×Q₈	—	2	4	no	—
1061	C₂×Q₈	—	13	8	no	—
1062	C₂×Q₈	—	13	4	no	—
1063	C₂×Q₈	—	13	4	no	—
1064	C₂×Q₈	—	13	2	no	—
1065	C₂×Q₈	—	26	8	no	—
1066	C₂×Q₈	—	26	16	no	—
1067	C₂×Q₈	—	26	16	no	—
1068	C₂×Q₈	—	26	8	no	—
1069	C₂×Q₈	—	26	4	no	—
1070	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1071	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1072	C₂×D₄	—	2	16	no	—
1073	C₂×D₄	—	2	8	no	—
1074	C₂×D₄	—	2	16	no	—
1075	C₂×D₄	—	13	16	no	—
1076	C₂×D₄	—	13	8	no	—
1077	C₂×D₄	—	13	32	no	—
1078	C₂×D₄	—	13	32	no	—
1079	C₂×D₄	—	13	8	no	—
1080	C₂×D₄	—	13	8	no	—
1081	C₂×D₄	—	13	4	no	—
1082	C₂×D₄	—	13	4	no	—
1083	C₂×D₄	—	13	8	no	—
1084	C₂×D₄	—	13	8	no	—
1085	C₂×D₄	—	13	4	no	—
1086	C₂×D₄	—	13	8	no	—
1087	C₂×D₄	—	13	8	no	—
1088	C₂×D₄	—	13	8	no	—
1089	C₂×D₄	—	13	4	no	—
1090	C₂×D₄	—	13	8	no	—
1091	C₂×D₄	—	13	4	no	—
1092	C₂×D₄	—	13	8	no	—
1093	C₂×D₄	—	13	2	no	—
1094	C₂×D₄	—	13	8	no	—
1095	C₂×D₄	—	26	16	no	—
1096	C₂×D₄	—	26	8	no	—
1097	C₂×D₄	—	26	16	no	—
1098	C₂×D₄	—	26	8	no	—
1099	C₂×D₄	—	26	32	no	—
1100	C₂×D₄	—	26	16	no	—
1101	C₂×D₄	—	26	16	no	—
1102	C₂×D₄	—	26	32	no	—
1103	C₂×D₄	—	26	32	no	—
1104	C₂×D₄	—	26	32	no	—
1105	C₂×D₄	—	26	32	no	—
1106	C₂×D₄	—	26	32	no	—
1107	C₂×D₄	—	26	32	no	—
1108	C₂×D₄	—	26	8	no	—
1109	C₂×D₄	—	26	16	no	—
1110	C₂×D₄	—	26	8	no	—
1111	C₂×D₄	—	26	16	no	—
1112	C₂×D₄	—	26	16	no	—
1113	C₂×D₄	—	52	16	no	—
1114	C₂×D₄	D₄×D₁₃	1	8	yes	complemented
1115	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1116	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1117	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1118	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1119	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1120	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1121	C₂²×C₄	—	2	8	no	—
1122	C₂²×C₄	—	2	4	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	8	no	—
1125	C₂²×C₄	—	13	2	no	—
1126	C₂²×C₄	—	13	2	no	—
1127	C₂²×C₄	—	13	8	no	—
1128	C₂²×C₄	—	13	4	no	—
1129	C₂²×C₄	—	13	4	no	—
1130	C₂²×C₄	—	13	4	no	—
1131	C₂²×C₄	—	13	1	no	—
1132	C₂²×C₄	—	13	2	no	—
1133	C₂²×C₄	—	13	8	no	—
1134	C₂²×C₄	—	13	8	no	—
1135	C₂²×C₄	—	13	2	no	—
1136	C₂²×C₄	—	13	4	no	—
1137	C₂²×C₄	—	13	4	no	—
1138	C₂²×C₄	—	13	8	no	—
1139	C₂²×C₄	—	13	8	no	—
1140	C₂²×C₄	—	13	8	no	—
1141	C₂²×C₄	—	13	4	no	—
1142	C₂²×C₄	—	13	4	no	—
1143	C₂²×C₄	—	13	4	no	—
1144	C₂²×C₄	—	13	4	no	—
1145	C₂²×C₄	—	13	2	no	—
1146	C₂²×C₄	—	13	4	no	—
1147	C₂²×C₄	—	13	16	no	—
1148	C₂²×C₄	—	26	4	no	—
1149	C₂²×C₄	—	26	16	no	—
1150	C₂²×C₄	—	26	16	no	—
1151	C₂²×C₄	—	26	16	no	—
1152	C₂²×C₄	—	26	4	no	—
1153	C₂²×C₄	—	26	8	no	—
1154	C₂²×C₄	—	26	8	no	—
1155	C₂²×C₄	—	26	8	no	—
1156	C₂²×C₄	—	26	32	no	—
1157	C₂²×C₄	—	26	32	no	—
1158	C₂²×C₄	—	26	16	no	—
1159	C₂²×C₄	—	26	4	no	—
1160	C₂²×C₄	—	26	8	no	—
1161	C₂²×C₄	—	26	4	no	—
1162	C₂²×C₄	—	52	16	no	—
1163	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1164	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1165	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1166	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1167	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1169	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1170	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1171	C₄⋊C₄	—	13	8	no	—
1172	C₄⋊C₄	—	13	8	no	—
1173	C₄⋊C₄	—	13	8	no	—
1174	C₄⋊C₄	—	13	16	no	—
1175	C₄⋊C₄	—	13	16	no	—
1176	C₄⋊C₄	—	13	16	no	—
1177	C₄⋊C₄	—	13	8	no	—
1178	C₄⋊C₄	—	13	4	no	—
1179	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1180	C₄⋊C₄	C₂³×D₁₃	1	16	yes	—
1181	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1182	C₂²⋊C₄	—	13	4	no	—
1183	C₂²⋊C₄	—	13	8	no	—
1184	C₂²⋊C₄	—	13	8	no	—
1185	C₂²⋊C₄	—	13	16	no	—
1186	C₂²⋊C₄	—	13	8	no	—
1187	C₂²⋊C₄	—	13	8	no	—
1188	C₂²⋊C₄	—	13	8	no	—
1189	C₂²⋊C₄	—	13	8	no	—
1190	C₂²⋊C₄	—	13	16	no	—
1191	C₂²⋊C₄	—	13	16	no	—
1192	C₂²⋊C₄	—	13	16	no	—
1193	C₂²⋊C₄	—	13	8	no	—
1194	C₂²⋊C₄	—	13	8	no	—
1195	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1196	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1197	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1198	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	—
1199	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1200	C₄²	—	13	8	no	—
1201	C₄²	—	13	4	no	—
1202	C₄²	C₂³×D₁₃	1	4	yes	—
1203	C₁₃	C₂×#3485	1	1	yes	characteristic, complemented, Sylow
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	8	no	—
1206	C₂³	—	4	4	no	—
1207	C₂³	—	4	2	no	—
1208	C₂³	—	4	8	no	—
1209	C₂³	—	13	1	no	—
1210	C₂³	—	13	4	no	—
1211	C₂³	—	13	16	no	—
1212	C₂³	—	13	1	no	—
1213	C₂³	—	13	4	no	—
1214	C₂³	—	13	16	no	—
1215	C₂³	—	13	8	no	—
1216	C₂³	—	13	4	no	—
1217	C₂³	—	13	2	no	—
1218	C₂³	—	26	16	no	—
1219	C₂³	—	26	4	no	—
1220	C₂³	—	26	4	no	—
1221	C₂³	—	26	4	no	—
1222	C₂³	—	26	8	no	—
1223	C₂³	—	26	8	no	—
1224	C₂³	—	26	16	no	—
1225	C₂³	—	26	16	no	—
1226	C₂³	—	26	2	no	—
1227	C₂³	—	26	8	no	—
1228	C₂³	—	52	8	no	—
1229	C₂³	—	52	4	no	—
1230	C₂³	—	52	2	no	—
1231	C₂³	—	52	4	no	—
1232	C₂³	—	52	8	no	—
1233	C₂³	—	52	16	no	—
1234	C₂³	—	52	32	no	—
1235	C₂³	—	52	16	no	—
1236	C₂³	—	104	32	no	—
1237	C₂³	C₂×D₄×D₁₃	1	8	yes	—
1238	C₂³	C₂⁴×D₁₃	1	4	yes	—
1239	C₂³	C₂⁴×D₁₃	1	2	yes	—
1240	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1241	C₂³	C₂⁴×D₁₃	1	4	yes	—
1242	Q₈	—	2	8	no	—
1243	Q₈	—	2	4	no	—
1244	Q₈	—	26	16	no	—
1245	Q₈	—	26	8	no	—
1246	Q₈	—	26	8	no	—
1247	Q₈	—	26	4	no	—
1248	D₄	—	2	8	no	—
1249	D₄	—	2	16	no	—
1250	D₄	—	2	16	no	—
1251	D₄	—	2	4	no	—
1252	D₄	—	4	8	no	—
1253	D₄	—	13	32	no	—
1254	D₄	—	13	16	no	—
1255	D₄	—	26	8	no	—
1256	D₄	—	26	16	no	—
1257	D₄	—	26	16	no	—
1258	D₄	—	26	8	no	—
1259	D₄	—	26	8	no	—
1260	D₄	—	26	16	no	—
1261	D₄	—	26	16	no	—
1262	D₄	—	26	8	no	—
1263	D₄	—	26	16	no	—
1264	D₄	—	26	16	no	—
1265	D₄	—	26	4	no	—
1266	D₄	—	52	8	no	—
1267	D₄	—	52	8	no	—
1268	D₄	—	52	8	no	—
1269	D₄	C₂×D₄×D₁₃	1	16	yes	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	16	no	—
1273	C₂×C₄	—	2	8	no	—
1274	C₂×C₄	—	2	8	no	—
1275	C₂×C₄	—	2	8	no	—
1276	C₂×C₄	—	4	8	no	—
1277	C₂×C₄	—	13	4	no	—
1278	C₂×C₄	—	13	2	no	—
1279	C₂×C₄	—	13	8	no	—
1280	C₂×C₄	—	13	8	no	—
1281	C₂×C₄	—	13	8	no	—
1282	C₂×C₄	—	13	2	no	—
1283	C₂×C₄	—	13	4	no	—
1284	C₂×C₄	—	13	4	no	—
1285	C₂×C₄	—	26	8	no	—
1286	C₂×C₄	—	26	8	no	—
1287	C₂×C₄	—	26	4	no	—
1288	C₂×C₄	—	26	4	no	—
1289	C₂×C₄	—	26	8	no	—
1290	C₂×C₄	—	26	8	no	—
1291	C₂×C₄	—	26	8	no	—
1292	C₂×C₄	—	26	16	no	—
1293	C₂×C₄	—	26	16	no	—
1294	C₂×C₄	—	26	16	no	—
1295	C₂×C₄	—	26	16	no	—
1296	C₂×C₄	—	26	8	no	—
1297	C₂×C₄	—	26	8	no	—
1298	C₂×C₄	—	26	2	no	—
1299	C₂×C₄	—	26	4	no	—
1300	C₂×C₄	—	26	16	no	—
1301	C₂×C₄	—	26	8	no	—
1302	C₂×C₄	—	26	8	no	—
1303	C₂×C₄	—	26	8	no	—
1304	C₂×C₄	—	52	16	no	—
1305	C₂×C₄	—	52	8	no	—
1306	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1307	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1308	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1309	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1310	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1311	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1312	C₂²	—	2	8	no	—
1313	C₂²	—	2	2	no	—
1314	C₂²	—	2	2	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	4	no	—
1317	C₂²	—	2	8	no	—
1318	C₂²	—	4	8	no	—
1319	C₂²	—	4	4	no	—
1320	C₂²	—	8	8	no	—
1321	C₂²	—	13	2	no	—
1322	C₂²	—	13	4	no	—
1323	C₂²	—	13	2	no	—
1324	C₂²	—	13	8	no	—
1325	C₂²	—	26	8	no	—
1326	C₂²	—	26	32	no	—
1327	C₂²	—	26	8	no	—
1328	C₂²	—	26	2	no	—
1329	C₂²	—	26	2	no	—
1330	C₂²	—	26	4	no	—
1331	C₂²	—	26	4	no	—
1332	C₂²	—	26	8	no	—
1333	C₂²	—	52	8	no	—
1334	C₂²	—	52	16	no	—
1335	C₂²	—	52	4	no	—
1336	C₂²	—	52	8	no	—
1337	C₂²	—	52	16	no	—
1338	C₂²	—	52	8	no	—
1339	C₂²	—	104	8	no	—
1340	C₂²	—	104	16	no	—
1341	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1342	C₂²	C₂²×D₄×D₁₃	1	8	yes	—
1343	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1344	C₄	—	2	2	no	—
1345	C₄	—	2	4	no	—
1346	C₄	—	2	4	no	—
1347	C₄	—	2	8	no	—
1348	C₄	—	13	4	no	—
1349	C₄	—	26	2	no	—
1350	C₄	—	26	4	no	—
1351	C₄	—	26	4	no	—
1352	C₄	—	26	8	no	—
1353	C₄	C₂²×D₄×D₁₃	1	4	yes	—
1354	C₂	—	2	2	no	—
1355	C₂	—	2	8	no	—
1356	C₂	—	4	2	no	—
1357	C₂	—	4	4	no	—
1358	C₂	—	13	4	no	—
1359	C₂	—	26	2	no	—
1360	C₂	—	26	8	no	—
1361	C₂	—	52	2	no	—
1362	C₂	—	52	4	no	—
1363	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1364	C₂	D₁₃×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3485	C₂
hypercenter	#3485	D₁₃
hypocenter	C₁₃	C₂×#3485
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3485

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₃×H(5,𝔽₂)	C₂	semidirect
2. C₂²×#41×D₁₃	C₂	semidirect
3. #13128481	C₂	semidirect
4. #13128480	C₂	semidirect
5. #13128479	C₂	semidirect
6. #13128478	C₂	semidirect
7. #13128477	C₂	semidirect
8. #13128476	C₂	semidirect
9. #13128475	C₂	semidirect
10. #13128474	C₂	semidirect
11. #13128473	C₂	semidirect
12. D₁₃×#547	C₂	semidirect
13. D₁₃×#546	C₂	semidirect
14. D₁₃×#536	C₂	semidirect
15. D₁₃×#534	C₂	semidirect
16. D₁₃×#525	C₂	semidirect
17. C₂×D₁₃×#123	C₂	semidirect
18. D₁₃×#518	C₂	semidirect
19. C₁₃×#3485	C₂	semidirect
20. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
21. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂×#88256	C₂²	semidirect
24. C₂×#88256	C₂²	semidirect
27. C₂×#41×D₁₃	C₂²	semidirect
28. C₂×#41×D₁₃	C₂²	semidirect
29. C₂×#41×D₁₃	C₂²	semidirect
30. C₂²×#6131	C₂²	semidirect
31. C₂²×Q₈×D₁₃	C₂²	semidirect
32. C₂×#88251	C₂²	semidirect
33. C₂×#88251	C₂²	semidirect
34. C₂×#88251	C₂²	semidirect
35. C₂²×#6129	C₂²	semidirect
36. C₂²×#6129	C₂²	semidirect
39. C₂²×D₄×D₁₃	C₂²	semidirect
40. C₂²×D₄×D₁₃	C₂²	semidirect
41. C₂²×#6127	C₂²	semidirect
42. C₂²×#6127	C₂²	semidirect
43. C₂³×C₄×D₁₃	C₂²	semidirect
44. C₂³×C₄×D₁₃	C₂²	semidirect
45. C₁₃×#547	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. C₁₃×#536	C₂²	semidirect
48. C₁₃×#534	C₂²	semidirect
49. C₁₃×#525	C₂²	semidirect
50. C₂×C₁₃×#123	C₂²	semidirect
51. C₁₃×#518	C₂²	semidirect
52. #11719534	C₂²	semidirect
53. #11719533	C₂²	semidirect
54. #11719530	C₂²	semidirect
55. #11719529	C₂²	semidirect
56. #11719529	C₂²	semidirect
57. #11719521	C₂²	semidirect
58. #11719511	C₂²	semidirect
59. #11719509	C₂²	semidirect
60. #11719509	C₂²	semidirect
61. #11719503	C₂²	semidirect
62. C₂×#88189	C₂²	semidirect
63. #11719496	C₂²	semidirect
64. C₂×#88183	C₂²	semidirect
65. #11719431	C₂²	semidirect
66. #11719429	C₂²	semidirect
67. D₁₃×C₄⋊Q₈	C₂²	semidirect
68. #11719381	C₂²	semidirect
69. #11719380	C₂²	semidirect
70. D₁₃×#124	C₂²	semidirect
71. #11719361	C₂²	semidirect
72. #11719360	C₂²	semidirect
73. #11719360	C₂²	semidirect
74. #11719359	C₂²	semidirect
75. #11719358	C₂²	semidirect
76. #11719358	C₂²	semidirect
77. D₁₃×#123	C₂²	semidirect
78. D₁₃×#123	C₂²	semidirect
79. D₁₃×#123	C₂²	semidirect
80. D₁₃×#123	C₂²	semidirect
81. D₁₃×#123	C₂²	semidirect
82. D₁₃×#123	C₂²	semidirect
83. D₁₃×#123	C₂²	semidirect
84. #11719353	C₂²	semidirect
85. #11719336	C₂²	semidirect
86. #11719336	C₂²	semidirect
87. #11719335	C₂²	semidirect
88. #11719333	C₂²	semidirect
89. #11719332	C₂²	semidirect
90. D₁₃×C₂²⋊Q₈	C₂²	semidirect
91. D₁₃×C₂²⋊Q₈	C₂²	semidirect
92. #11719317	C₂²	semidirect
93. #11719316	C₂²	semidirect
94. #11719315	C₂²	semidirect
95. #11719311	C₂²	semidirect
96. #11719310	C₂²	semidirect
97. D₁₃×#121	C₂²	semidirect
98. D₁₃×#121	C₂²	semidirect
99. #11719296	C₂²	semidirect
100. #11719294	C₂²	semidirect
101. #11719294	C₂²	semidirect
102. D₁₃×#120	C₂²	semidirect
103. D₁₃×#120	C₂²	semidirect
104. #11719291	C₂²	semidirect
105. #11719260	C₂²	semidirect
106. #11719259	C₂²	semidirect
107. #11719256	C₂²	semidirect
108. #11719255	C₂²	semidirect
109. #11719252	C₂²	semidirect
110. #11719250	C₂²	semidirect
111. C₄×D₄×D₁₃	C₂²	semidirect
112. C₄×D₄×D₁₃	C₂²	semidirect
113. #11719231	C₂²	semidirect
114. #11719229	C₂²	semidirect
115. #11719226	C₂²	semidirect
116. D₁₃×#117	C₂²	semidirect
117. #11719212	C₂²	semidirect
118. C₂×#88148	C₂²	semidirect
119. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
120. #11719198	C₂²	semidirect
121. C₂×#88140	C₂²	semidirect
122. #11719195	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
124. #11719191	C₂²	semidirect
125. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
126. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₁₃×#41	C₂³	semidirect
134. C₂×C₁₃×#41	C₂³	semidirect
135. C₂²×Q₈×C₁₃	C₂³	semidirect
138. C₂²×D₄×C₁₃	C₂³	semidirect
139. C₂²×D₄×C₁₃	C₂³	semidirect
140. C₂³×C₄×C₁₃	C₂³	semidirect
141. C₂³×C₄×C₁₃	C₂³	semidirect
145. C₂²×C₂²⋊D₁₃	C₂³	semidirect
146. C₂²×C₂²⋊D₁₃	C₂³	semidirect
147. C₂²×C₂²⋊D₁₃	C₂³	semidirect
148. C₂³×Dic₁₃	C₂³	semidirect
149. C₂³×Dic₁₃	C₂³	semidirect
158. C₂×#6131	C₂³	semidirect
159. C₂×#6131	C₂³	semidirect
163. C₂×Q₈×D₁₃	C₂³	semidirect
171. C₂×#6129	C₂³	semidirect
172. C₂×#6129	C₂³	semidirect
173. C₂×#6129	C₂³	semidirect
174. C₂×#6129	C₂³	semidirect
178. C₂×D₄×D₁₃	D₄	semidirect
188. C₂×D₄×D₁₃	C₂³	semidirect
189. C₂×D₄×D₁₃	C₂³	semidirect
190. C₂×D₄×D₁₃	C₂³	semidirect
191. C₂×D₄×D₁₃	C₂³	semidirect
196. C₂×#6127	C₂³	semidirect
197. C₂×#6127	C₂³	semidirect
198. C₂×#6127	C₂³	semidirect
199. C₂×#6127	C₂³	semidirect
202. C₂²×D₅₂	C₂³	semidirect
203. C₂²×D₅₂	C₂³	semidirect
214. C₂²×C₄×D₁₃	C₂³	semidirect
215. C₂²×C₄×D₁₃	C₂³	semidirect
216. C₂²×C₄×D₁₃	C₂³	semidirect
217. C₂²×C₄×D₁₃	C₂³	semidirect
218. C₂²×C₄×D₁₃	C₂³	semidirect
219. C₂²×C₄×D₁₃	C₂³	semidirect
220. C₂²×Dic₂₆	C₂³	semidirect
221. C₂²×Dic₂₆	C₂³	semidirect
222. C₁₃×C₄⋊Q₈	C₂³	semidirect
223. C₁₃×#124	C₂³	semidirect
224. C₁₃×#123	C₂³	semidirect
225. C₁₃×#123	C₂³	semidirect
226. C₁₃×#123	C₂³	semidirect
227. C₁₃×#123	C₂³	semidirect
228. C₁₃×C₂²⋊Q₈	C₂³	semidirect
229. C₁₃×C₂²⋊Q₈	C₂³	semidirect
230. C₁₃×#121	C₂³	semidirect
231. C₁₃×#121	C₂³	semidirect
232. C₁₃×#120	C₂³	semidirect
233. C₁₃×#120	C₂³	semidirect
234. C₄×D₄×C₁₃	C₂³	semidirect
235. C₄×D₄×C₁₃	C₂³	semidirect
236. C₁₃×#117	C₂³	semidirect
237. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
238. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
239. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
240. #88207	C₂³	semidirect
241. #88207	C₂³	semidirect
242. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
243. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
244. #88201	C₂³	semidirect
245. #88200	C₂³	semidirect
246. #88200	C₂³	semidirect
247. #88198	C₂³	semidirect
248. #88198	C₂³	semidirect
249. #88193	C₂³	semidirect
250. #88193	C₂³	semidirect
251. #88193	C₂³	semidirect
252. #88192	C₂³	semidirect
253. #88192	C₂³	semidirect
254. #88191	C₂³	semidirect
255. #88191	C₂³	semidirect
256. #88191	C₂³	semidirect
257. #88191	C₂³	semidirect
258. #88190	C₂³	semidirect
259. #88189	C₂³	semidirect
260. #88189	C₂³	semidirect
261. #88189	C₂³	semidirect
262. #88189	C₂³	semidirect
263. D₄×Dic₁₃	C₂³	semidirect
264. D₄×Dic₁₃	C₂³	semidirect
265. #88184	C₂³	semidirect
266. #88184	C₂³	semidirect
267. #88183	C₂³	semidirect
268. #88183	C₂³	semidirect
269. #88183	C₂³	semidirect
270. #88183	C₂³	semidirect
271. C₄×C₂²⋊D₁₃	C₂³	semidirect
272. C₄×C₂²⋊D₁₃	C₂³	semidirect
273. C₄×C₂²⋊D₁₃	C₂³	semidirect
274. C₂×#6103	C₂³	semidirect
275. C₂×#6103	C₂³	semidirect
276. C₂×#6103	C₂³	semidirect
277. #88180	C₂³	semidirect
278. C₂×C₄⋊Dic₁₃	C₂³	semidirect
279. #88178	C₂³	semidirect
280. #88178	C₂³	semidirect
281. C₂×#6101	C₂³	semidirect
282. C₂×#6101	C₂³	semidirect
283. #88151	C₂³	semidirect
284. #88151	C₂³	semidirect
285. #88150	C₂³	semidirect
286. #88150	C₂³	semidirect
287. #88149	C₂³	semidirect
288. #88149	C₂³	semidirect
289. #88148	C₂³	semidirect
290. #88148	C₂³	semidirect
291. #88148	C₂³	semidirect
292. #88148	C₂³	semidirect
293. #88148	C₂³	semidirect
294. #88147	C₂³	semidirect
295. #88147	C₂³	semidirect
296. #88146	C₂³	semidirect
300. C₄⋊C₄×D₁₃	C₂³	semidirect
301. C₄⋊C₄×D₁₃	C₂³	semidirect
302. #88142	C₂³	semidirect
303. #88140	C₂³	semidirect
304. #88140	C₂³	semidirect
305. #88140	C₂³	semidirect
306. #88140	C₂³	semidirect
307. #88139	C₂³	semidirect
308. #88138	C₂³	semidirect
309. #88138	C₂³	semidirect
310. #88138	C₂³	semidirect
311. #88137	C₂³	semidirect
312. #88137	C₂³	semidirect
313. #88137	C₂³	semidirect
314. #88137	C₂³	semidirect
315. #88137	C₂³	semidirect
316. #88136	C₂³	semidirect
317. #88136	C₂³	semidirect
318. #88136	C₂³	semidirect
319. #88136	C₂³	semidirect
320. #88135	C₂³	semidirect
321. #88135	C₂³	semidirect
322. #88135	C₂³	semidirect
328. C₂²⋊C₄×D₁₃	C₂³	semidirect
329. C₂²⋊C₄×D₁₃	C₂³	semidirect
330. C₂²⋊C₄×D₁₃	C₂³	semidirect
331. C₂²⋊C₄×D₁₃	C₂³	semidirect
332. #88132	C₂³	semidirect
333. #88132	C₂³	semidirect
334. #88131	C₂³	semidirect
335. #88129	C₂³	semidirect
336. C₄×D₅₂	C₂³	semidirect
337. C₄×D₅₂	C₂³	semidirect
338. #88126	C₂³	semidirect
340. #88123	C₂³	semidirect
370. C₂×D₄×C₁₃	C₂×D₄	semidirect
392. C₂×C₂²⋊D₁₃	C₂×D₄	semidirect
437. D₄×D₁₃	C₂×D₄	semidirect
447. C₂×D₅₂	C₂×D₄	semidirect
533. #3485	D₁₃	direct (N × H)
655. C₂×H(5,𝔽₂)	C₂×D₁₃	semidirect
666. C₂²×#41	C₂×D₁₃	semidirect
685. #547	C₂×D₁₃	semidirect
697. #546	C₂×D₁₃	semidirect
705. #536	C₂×D₁₃	semidirect
714. #534	C₂×D₁₃	semidirect
725. #525	C₂×D₁₃	semidirect
738. C₂×#123	C₂×D₁₃	semidirect
749. #518	C₂×D₁₃	semidirect
833. C₂×#41	C₂²×D₁₃	semidirect
834. C₂×#41	C₂²×D₁₃	semidirect
841. C₂²×Q₈	C₂²×D₁₃	semidirect
871. C₂²×D₄	C₂²×D₁₃	semidirect
872. C₂²×D₄	C₂²×D₁₃	semidirect
891. C₂³×C₄	C₂²×D₁₃	semidirect
892. C₂³×C₄	C₂²×D₁₃	semidirect
897. C₄⋊Q₈	C₂²×D₁₃	semidirect
902. #124	C₂²×D₁₃	semidirect
925. #123	C₂²×D₁₃	semidirect
926. #123	C₂²×D₁₃	semidirect
927. #123	C₂²×D₁₃	semidirect
928. #123	C₂²×D₁₃	semidirect
939. C₂²⋊Q₈	C₂²×D₁₃	semidirect
940. C₂²⋊Q₈	C₂²×D₁₃	semidirect
953. #121	C₂²×D₁₃	semidirect
954. #121	C₂²×D₁₃	semidirect
965. #120	C₂²×D₁₃	semidirect
966. #120	C₂²×D₁₃	semidirect
979. C₄×D₄	C₂²×D₁₃	semidirect
980. C₄×D₄	C₂²×D₁₃	semidirect
985. #117	C₂²×D₁₃	semidirect
994. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1009. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1010. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1022. D₁₃	#3485	direct (N × H)
1114. C₂×D₄	D₄×D₁₃	semidirect
1203. C₁₃	C₂×#3485	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×H(5,𝔽₂)	2
C₂²×#41×D₁₃	2
#13128481	2
#13128480	2
#13128479	2
#13128478	2
#13128477	2
#13128476	2
#13128475	2
#13128474	2
#13128473	2
D₁₃×#547	2
D₁₃×#546	2
D₁₃×#536	2
D₁₃×#534	2
D₁₃×#525	2
C₂×D₁₃×#123	2
D₁₃×#518	2
C₁₃×#3485	2
C₂×#3485	13

Subgroups — D13×#3485 #16770955

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3485 #16770955