Subgroups — D₁₃×#3496 #16770804

Order 3328.

12378 conjugacy classes of subgroups.

The subgroup lattice has 1316 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	2	yes	maximal, complemented
2	#13128600	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128599	C₂	1	2	yes	maximal, complemented
4	#13128598	C₂	1	2	yes	maximal, complemented
5	#13128597	C₂	1	4	yes	maximal, complemented
6	#13128596	C₂	1	8	yes	maximal, complemented
7	#13128595	C₂	1	2	yes	maximal, complemented
8	#13128594	C₂	1	4	yes	maximal, complemented
9	#13128593	C₂	1	4	yes	maximal, complemented
10	#13128592	C₂	1	4	yes	maximal, complemented
11	D₁₃×#547	C₂	1	4	yes	maximal, complemented
12	D₁₃×#546	C₂	1	8	yes	maximal, complemented
13	D₄²×D₁₃	C₂	1	4	yes	maximal, complemented
14	D₁₃×#537	C₂	1	2	yes	maximal, complemented
15	D₁₃×#534	C₂	1	4	yes	maximal, complemented
16	D₁₃×#532	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×#121	C₂	1	4	yes	maximal, complemented
18	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
21	D₁₃×H(5,𝔽₂)	—	2	32	no	—
22	C₂×#88256	C₂²	1	4	yes	complemented
23	C₂×#88256	C₂²	1	8	yes	complemented
24	C₂×#41×D₁₃	C₂²	1	8	yes	complemented
25	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
26	C₂×#88251	C₂²	1	8	yes	complemented
27	C₂×#88251	C₂²	1	8	yes	complemented
28	C₂×#88251	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
31	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
32	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
33	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
34	C₁₃×#547	C₂²	1	4	yes	complemented
35	C₁₃×#546	C₂²	1	8	yes	complemented
36	D₄²×C₁₃	C₂²	1	4	yes	complemented
37	C₁₃×#537	C₂²	1	2	yes	complemented
38	C₁₃×#534	C₂²	1	4	yes	complemented
39	C₁₃×#532	C₂²	1	2	yes	complemented
40	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	#11719538	C₂²	1	4	yes	complemented
43	#11719537	C₂²	1	4	yes	complemented
44	#11719534	C₂²	1	8	yes	complemented
45	#11719529	C₂²	1	8	yes	complemented
46	#11719511	C₂²	1	8	yes	complemented
47	#11719509	C₂²	1	8	yes	complemented
48	C₂×#88193	C₂²	1	8	yes	complemented
49	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
50	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
51	C₂×#88192	C₂²	1	4	yes	complemented
52	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88184	C₂²	1	4	yes	complemented
54	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
55	#11719431	C₂²	1	4	yes	complemented
56	#11719430	C₂²	1	2	yes	complemented
57	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
58	#11719422	C₂²	1	4	yes	complemented
59	#11719421	C₂²	1	2	yes	complemented
60	D₁₃×#127	C₂²	1	2	yes	complemented
61	#11719381	C₂²	1	8	yes	complemented
62	D₁₃×#124	C₂²	1	4	yes	complemented
63	#11719373	C₂²	1	4	yes	complemented
64	#11719360	C₂²	1	16	yes	complemented
65	#11719359	C₂²	1	16	yes	complemented
66	#11719358	C₂²	1	16	yes	complemented
67	D₁₃×#123	C₂²	1	16	yes	complemented
68	#11719336	C₂²	1	8	yes	complemented
69	#11719335	C₂²	1	8	yes	complemented
70	#11719334	C₂²	1	8	yes	complemented
71	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
72	#11719317	C₂²	1	8	yes	complemented
73	#11719316	C₂²	1	8	yes	complemented
74	#11719315	C₂²	1	16	yes	complemented
75	#11719314	C₂²	1	8	yes	complemented
76	#11719314	C₂²	1	8	yes	complemented
77	#11719313	C₂²	1	8	yes	complemented
78	#11719310	C₂²	1	8	yes	complemented
79	#11719310	C₂²	1	8	yes	complemented
80	D₁₃×#121	C₂²	1	8	yes	complemented
81	D₁₃×#121	C₂²	1	8	yes	complemented
82	D₁₃×#121	C₂²	1	8	yes	complemented
83	D₁₃×#121	C₂²	1	4	yes	complemented
84	D₁₃×#121	C₂²	1	8	yes	complemented
85	D₁₃×#121	C₂²	1	4	yes	complemented
86	D₁₃×#121	C₂²	1	8	yes	complemented
87	D₁₃×#121	C₂²	1	8	yes	complemented
88	D₁₃×#121	C₂²	1	8	yes	complemented
89	D₁₃×#121	C₂²	1	8	yes	complemented
90	#11719302	C₂²	1	8	yes	complemented
91	#11719301	C₂²	1	4	yes	complemented
92	#11719301	C₂²	1	4	yes	complemented
93	#11719296	C₂²	1	16	yes	complemented
94	#11719295	C₂²	1	16	yes	complemented
95	#11719294	C₂²	1	16	yes	complemented
96	D₁₃×#120	C₂²	1	16	yes	complemented
97	#11719260	C₂²	1	4	yes	complemented
98	#11719259	C₂²	1	8	yes	complemented
99	#11719256	C₂²	1	4	yes	complemented
100	#11719255	C₂²	1	8	yes	complemented
101	D₄×D₅₂	C₂²	1	4	yes	complemented
102	D₄×D₅₂	C₂²	1	4	yes	complemented
103	#11719253	C₂²	1	4	yes	complemented
104	#11719253	C₂²	1	4	yes	complemented
105	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
106	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
107	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
108	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
109	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
110	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
111	#11719215	C₂²	1	2	yes	complemented
112	#11719212	C₂²	1	8	yes	complemented
113	C₂×#88149	C₂²	1	4	yes	complemented
114	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄⋊C₄×D₁₃	C₂²	1	4	yes	complemented
117	#11719198	C₂²	1	4	yes	complemented
118	#11719195	C₂²	1	16	yes	complemented
119	C₂×#88138	C₂²	1	8	yes	complemented
120	C₂×#88135	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
122	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	complemented
123	#11719182	C₂²	1	2	yes	complemented
124	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
126	C₂⁴×D₁₃	C₂³	1	8	yes	—
127	C₂⁴×D₁₃	C₂³	1	2	yes	—
128	C₁₃×H(5,𝔽₂)	—	2	16	no	—
129	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
130	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
131	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
133	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
134	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
135	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
136	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
137	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
138	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
139	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
140	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
141	C₂³×Dic₁₃	C₂³	1	2	yes	complemented
142	#88256	—	2	64	no	—
143	#88256	—	2	32	no	—
144	#41×D₁₃	—	2	64	no	—
145	#41×D₁₃	—	2	32	no	—
146	C₂×#6131	C₂³	1	4	yes	complemented
147	C₂×#6131	C₂³	1	8	yes	complemented
148	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
149	#88251	—	2	16	no	—
150	#88251	—	2	64	no	—
151	#88251	—	2	64	no	—
152	C₂×#6129	C₂³	1	8	yes	complemented
153	C₂×#6129	C₂³	1	16	yes	complemented
154	C₂×#6129	C₂³	1	8	yes	complemented
155	C₂×#6129	C₂³	1	4	yes	complemented
156	C₂×D₄×D₁₃	—	2	64	no	—
157	C₂×D₄×D₁₃	—	2	64	no	—
158	C₂×D₄×D₁₃	—	4	16	no	—
159	C₂×D₄×D₁₃	D₄	1	16	yes	complemented
160	C₂×D₄×D₁₃	C₂³	1	4	yes	—
161	C₂×D₄×D₁₃	C₂³	1	16	yes	—
162	C₂×D₄×D₁₃	C₂³	1	8	yes	—
163	C₂×D₄×D₁₃	C₂³	1	4	yes	—
164	C₂×D₄×D₁₃	C₂³	1	4	yes	—
165	C₂×D₄×D₁₃	C₂³	1	8	yes	—
166	C₂×D₄×D₁₃	C₂³	1	4	yes	—
167	C₂×D₄×D₁₃	C₂³	1	4	yes	—
168	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
169	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
170	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
171	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
172	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
173	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
174	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
175	C₂×#6127	C₂³	1	4	yes	complemented
176	C₂×#6127	C₂³	1	16	yes	complemented
177	C₂×#6127	C₂³	1	8	yes	complemented
178	C₂×#6127	C₂³	1	8	yes	complemented
179	C₂²×D₅₂	C₂³	1	1	yes	characteristic
180	C₂²×D₅₂	C₂³	1	8	yes	complemented
181	C₂²×D₅₂	C₂³	1	8	yes	complemented
182	C₂²×D₅₂	C₂³	1	4	yes	complemented
183	C₂²×C₄×D₁₃	—	4	8	no	—
184	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
187	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
193	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
194	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
195	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
196	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
197	C₁₃×#127	C₂³	1	2	yes	complemented
198	C₁₃×#124	C₂³	1	4	yes	complemented
199	C₁₃×#123	C₂³	1	16	yes	complemented
200	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
201	C₁₃×#121	C₂³	1	4	yes	complemented
202	C₁₃×#121	C₂³	1	4	yes	complemented
203	C₁₃×#121	C₂³	1	8	yes	complemented
204	C₁₃×#121	C₂³	1	8	yes	complemented
205	C₁₃×#121	C₂³	1	8	yes	complemented
206	C₁₃×#121	C₂³	1	8	yes	complemented
207	C₁₃×#120	C₂³	1	16	yes	complemented
208	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
209	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
210	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
211	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic, complemented
217	#88207	C₂³	1	16	yes	complemented
218	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
219	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
220	#88201	C₂³	1	4	yes	complemented
221	#88200	C₂³	1	8	yes	complemented
222	#88198	C₂³	1	4	yes	complemented
223	#88194	C₂³	1	4	yes	complemented
224	#88194	C₂³	1	4	yes	complemented
225	#88194	C₂³	1	4	yes	complemented
226	#88193	C₂³	1	16	yes	complemented
227	#88193	C₂³	1	16	yes	complemented
228	#88193	C₂³	1	8	yes	complemented
229	#88193	C₂³	1	16	yes	complemented
230	#88193	C₂³	1	16	yes	complemented
231	#88193	C₂³	1	8	yes	complemented
232	#88192	C₂³	1	4	yes	complemented
233	#88192	C₂³	1	8	yes	complemented
234	#88192	C₂³	1	8	yes	complemented
235	#88192	C₂³	1	8	yes	complemented
236	#88192	C₂³	1	8	yes	complemented
237	#88192	C₂³	1	4	yes	complemented
238	#88191	C₂³	1	16	yes	complemented
239	#88191	C₂³	1	16	yes	complemented
240	#88191	C₂³	1	16	yes	complemented
241	#88190	C₂³	1	4	yes	complemented
242	#88189	C₂³	1	16	yes	complemented
243	D₄×Dic₁₃	C₂³	1	4	yes	complemented
244	D₄×Dic₁₃	C₂³	1	4	yes	complemented
245	D₄×Dic₁₃	C₂³	1	4	yes	complemented
246	D₄×Dic₁₃	C₂³	1	4	yes	complemented
247	#88184	C₂³	1	4	yes	complemented
248	#88184	C₂³	1	4	yes	complemented
249	#88184	C₂³	1	8	yes	complemented
250	#88184	C₂³	1	8	yes	complemented
251	#88184	C₂³	1	8	yes	complemented
252	#88184	C₂³	1	8	yes	complemented
253	#88183	C₂³	1	16	yes	complemented
254	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
255	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
256	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
257	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
258	C₂×#6103	C₂³	1	2	yes	complemented
259	C₂×#6103	C₂³	1	8	yes	complemented
260	C₂×#6103	C₂³	1	2	yes	complemented
261	C₂×#6103	C₂³	1	8	yes	complemented
262	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
263	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	complemented
264	#88178	C₂³	1	8	yes	complemented
265	C₂×#6101	C₂³	1	2	yes	complemented
266	C₂×#6101	C₂³	1	8	yes	complemented
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
270	#88151	C₂³	1	8	yes	complemented
271	#88150	C₂³	1	16	yes	complemented
272	#88149	C₂³	1	4	yes	complemented
273	#88149	C₂³	1	4	yes	complemented
274	#88149	C₂³	1	8	yes	complemented
275	#88149	C₂³	1	8	yes	complemented
276	#88149	C₂³	1	8	yes	complemented
277	#88149	C₂³	1	8	yes	complemented
278	#88148	C₂³	1	16	yes	complemented
279	#88148	C₂³	1	16	yes	complemented
280	#88147	C₂³	1	4	yes	complemented
281	#88147	C₂³	1	4	yes	complemented
282	#88147	C₂³	1	4	yes	complemented
283	#88147	C₂³	1	4	yes	complemented
284	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
285	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
286	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
287	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
288	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
289	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
290	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
291	#88142	C₂³	1	4	yes	complemented
292	#88142	C₂³	1	4	yes	complemented
293	#88140	C₂³	1	16	yes	complemented
294	#88139	C₂³	1	8	yes	complemented
295	#88139	C₂³	1	8	yes	complemented
296	#88138	C₂³	1	8	yes	complemented
297	#88138	C₂³	1	16	yes	complemented
298	#88138	C₂³	1	16	yes	complemented
299	#88138	C₂³	1	16	yes	complemented
300	#88138	C₂³	1	16	yes	complemented
301	#88138	C₂³	1	8	yes	complemented
302	#88137	C₂³	1	16	yes	complemented
303	#88137	C₂³	1	16	yes	complemented
304	#88136	C₂³	1	16	yes	complemented
305	#88136	C₂³	1	16	yes	complemented
306	#88136	C₂³	1	16	yes	complemented
307	#88135	C₂³	1	8	yes	complemented
308	#88135	C₂³	1	8	yes	complemented
309	#88135	C₂³	1	8	yes	complemented
310	#88135	C₂³	1	8	yes	complemented
311	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
312	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
313	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
314	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
315	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
316	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
317	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
318	#88132	C₂³	1	16	yes	complemented
319	#88129	C₂³	1	4	yes	complemented
320	#88128	C₂³	1	2	yes	complemented
321	C₄×D₅₂	C₂³	1	4	yes	complemented
322	C₄×D₅₂	C₂³	1	4	yes	complemented
323	C₄×D₅₂	C₂³	1	4	yes	complemented
324	C₄×D₅₂	C₂³	1	4	yes	complemented
325	C₄²×D₁₃	C₂³	1	2	yes	—
326	C₄²×D₁₃	C₂³	1	2	yes	—
327	C₄²×D₁₃	C₂³	1	2	yes	complemented
328	C₄²×D₁₃	C₂³	1	2	yes	complemented
329	#88123	C₂³	1	2	yes	complemented
330	C₂×#3496	—	13	1	no	maximal, Sylow
331	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
332	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
333	C₂³×D₁₃	—	2	32	no	—
334	C₂³×D₁₃	—	4	4	no	—
335	C₂³×D₁₃	—	4	4	no	—
336	C₂³×D₁₃	—	4	16	no	—
337	C₂³×D₁₃	—	4	16	no	—
338	C₂³×D₁₃	C₂×D₄	1	16	yes	complemented
339	C₂³×D₁₃	C₂⁴	1	8	yes	—
340	C₂³×D₁₃	C₂⁴	1	4	yes	—
341	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
342	C₂³×D₁₃	C₂⁴	1	16	yes	—
343	C₂³×D₁₃	C₂⁴	1	8	yes	—
344	C₂³×D₁₃	C₂⁴	1	4	yes	—
345	C₂³×D₁₃	C₂⁴	1	2	yes	—
346	C₁₃×#41	—	2	32	no	—
347	C₁₃×#41	—	2	16	no	—
348	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
349	C₂×D₄×C₁₃	—	2	32	no	—
350	C₂×D₄×C₁₃	—	2	32	no	—
351	C₂×D₄×C₁₃	—	4	8	no	—
352	C₂×D₄×C₁₃	C₂×D₄	1	8	yes	complemented
353	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
359	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
360	C₂²×C₄×C₁₃	—	4	4	no	—
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
363	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₂²⋊D₁₃	—	2	32	no	—
370	C₂×C₂²⋊D₁₃	—	2	32	no	—
371	C₂×C₂²⋊D₁₃	—	2	64	no	—
372	C₂×C₂²⋊D₁₃	—	4	16	no	—
373	C₂×C₂²⋊D₁₃	C₂×D₄	1	16	yes	complemented
374	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
375	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
376	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
377	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
379	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
381	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
382	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
383	C₂²×Dic₁₃	—	4	4	no	—
384	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
385	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
386	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	#6131	—	2	32	no	—
393	#6131	—	2	16	no	—
394	Q₈×D₁₃	—	2	16	no	—
395	#6129	—	2	32	no	—
396	#6129	—	2	64	no	—
397	#6129	—	2	32	no	—
398	#6129	—	2	16	no	—
399	D₄×D₁₃	—	2	64	no	—
400	D₄×D₁₃	—	2	32	no	—
401	D₄×D₁₃	—	2	64	no	—
402	D₄×D₁₃	—	2	64	no	—
403	D₄×D₁₃	—	2	32	no	—
404	D₄×D₁₃	—	2	64	no	—
405	D₄×D₁₃	—	2	32	no	—
406	D₄×D₁₃	—	2	16	no	—
407	D₄×D₁₃	—	2	16	no	—
408	D₄×D₁₃	—	4	16	no	—
409	D₄×D₁₃	—	4	16	no	—
410	D₄×D₁₃	—	4	16	no	—
411	D₄×D₁₃	—	4	8	no	—
412	D₄×D₁₃	C₂×D₄	1	32	yes	complemented
413	D₄×D₁₃	C₂×D₄	1	32	yes	complemented
414	#6127	—	2	16	no	—
415	#6127	—	2	64	no	—
416	#6127	—	2	32	no	—
417	#6127	—	2	32	no	—
418	C₂×D₅₂	—	2	32	no	—
419	C₂×D₅₂	—	2	32	no	—
420	C₂×D₅₂	—	4	8	no	—
421	C₂×D₅₂	C₂×D₄	1	8	yes	complemented
422	C₂×D₅₂	C₂⁴	1	4	yes	—
423	C₂×D₅₂	C₂⁴	1	4	yes	—
424	C₂×D₅₂	C₂⁴	1	16	yes	—
425	C₂×D₅₂	C₂⁴	1	8	yes	—
426	C₂×D₅₂	C₂⁴	1	4	yes	—
427	C₂×D₅₂	C₂⁴	1	8	yes	—
428	C₂×D₅₂	C₂⁴	1	4	yes	—
429	C₂×C₄×D₁₃	—	2	32	no	—
430	C₂×C₄×D₁₃	—	2	32	no	—
431	C₂×C₄×D₁₃	—	2	4	no	—
432	C₂×C₄×D₁₃	—	2	16	no	—
433	C₂×C₄×D₁₃	—	4	8	no	—
434	C₂×C₄×D₁₃	—	4	4	no	—
435	C₂×C₄×D₁₃	—	4	8	no	—
436	C₂×C₄×D₁₃	—	4	4	no	—
437	C₂×C₄×D₁₃	—	4	8	no	—
438	C₂×C₄×D₁₃	—	4	4	no	—
439	C₂×C₄×D₁₃	—	4	2	no	—
440	C₂×C₄×D₁₃	C₂×D₄	1	8	yes	complemented
441	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
442	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
443	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
444	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
446	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
453	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
454	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
455	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
456	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
457	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
458	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
459	C₂×Dic₂₆	C₂⁴	1	4	yes	—
460	C₂×Dic₂₆	C₂⁴	1	8	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₄²×C₁₃	C₂⁴	1	2	yes	—
470	C₄²×C₁₃	C₂⁴	1	2	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
472	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
475	#6103	C₂⁴	1	8	yes	—
476	#6103	C₂⁴	1	8	yes	—
477	#6103	C₂⁴	1	8	yes	—
478	#6103	C₂⁴	1	8	yes	—
479	#6103	C₂⁴	1	8	yes	—
480	#6103	C₂⁴	1	16	yes	—
481	#6103	C₂⁴	1	16	yes	—
482	#6103	C₂⁴	1	8	yes	—
483	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
484	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
485	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
486	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	16	yes	—
489	#6101	C₂⁴	1	8	yes	—
490	#6101	C₂⁴	1	8	yes	—
491	C₄×Dic₁₃	C₂⁴	1	2	yes	—
492	C₄×Dic₁₃	C₂⁴	1	2	yes	—
493	C₄×Dic₁₃	C₂⁴	1	2	yes	—
494	C₄×Dic₁₃	C₂⁴	1	2	yes	—
495	C₄×Dic₁₃	C₂⁴	1	2	yes	—
496	C₄×Dic₁₃	C₂⁴	1	2	yes	—
497	C₂²×H(5,𝔽₂)	—	13	2	no	—
498	#3496	—	13	2	no	—
499	#3496	—	13	4	no	—
500	#3496	—	13	8	no	—
501	#3496	—	13	4	no	—
502	#3496	—	13	2	no	—
503	#3496	—	13	4	no	—
504	#3496	—	13	2	no	—
505	#3496	—	13	4	no	—
506	#3496	—	13	1	no	—
507	#3496	D₁₃	1	1	yes	characteristic, direct product factor
508	C₂×#547	—	13	4	no	—
509	C₂×#546	—	13	8	no	—
510	C₂×D₄²	—	13	4	no	—
511	C₂×#537	—	13	2	no	—
512	C₂×#534	—	13	4	no	—
513	C₂×#532	—	13	2	no	—
514	C₂²×#121	—	13	4	no	—
515	C₂²×C₄×D₄	—	13	1	no	—
516	C₂³×C₁₃	—	2	16	no	—
517	C₂³×C₁₃	—	4	2	no	—
518	C₂³×C₁₃	—	4	2	no	—
519	C₂³×C₁₃	—	4	8	no	—
520	C₂³×C₁₃	—	4	8	no	—
521	C₂³×C₁₃	C₂²×D₄	1	8	yes	complemented
522	C₂³×C₁₃	C₂⁵	1	8	yes	—
523	C₂³×C₁₃	C₂⁵	1	4	yes	—
524	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
525	C₂²×D₁₃	—	2	2	no	—
526	C₂²×D₁₃	—	2	8	no	—
527	C₂²×D₁₃	—	2	2	no	—
528	C₂²×D₁₃	—	2	8	no	—
529	C₂²×D₁₃	—	2	16	no	—
530	C₂²×D₁₃	—	2	16	no	—
531	C₂²×D₁₃	—	2	16	no	—
532	C₂²×D₁₃	—	2	16	no	—
533	C₂²×D₁₃	—	2	32	no	—
534	C₂²×D₁₃	—	4	32	no	—
535	C₂²×D₁₃	—	4	4	no	—
536	C₂²×D₁₃	—	4	2	no	—
537	C₂²×D₁₃	—	4	4	no	—
538	C₂²×D₁₃	—	4	2	no	—
539	C₂²×D₁₃	—	4	8	no	—
540	C₂²×D₁₃	—	4	16	no	—
541	C₂²×D₁₃	—	4	16	no	—
542	C₂²×D₁₃	—	4	8	no	—
543	C₂²×D₁₃	—	8	64	no	—
544	C₂²×D₁₃	C₂²×D₄	1	16	yes	—
545	C₂²×D₁₃	C₂²×D₄	1	4	yes	—
546	C₂²×D₁₃	C₂²×D₄	1	16	yes	complemented
547	C₂²×D₁₃	C₂²×D₄	1	8	yes	complemented
548	C₂²×D₁₃	C₂⁵	1	8	yes	—
549	C₂²×D₁₃	C₂⁵	1	4	yes	—
550	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
551	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
552	Q₈×C₁₃	—	2	8	no	—
553	D₄×C₁₃	—	2	32	no	—
554	D₄×C₁₃	—	2	16	no	—
555	D₄×C₁₃	—	2	8	no	—
556	D₄×C₁₃	—	2	8	no	—
557	D₄×C₁₃	—	4	8	no	—
558	D₄×C₁₃	—	4	4	no	—
559	D₄×C₁₃	C₂²×D₄	1	16	yes	complemented
560	C₂×C₄×C₁₃	—	2	16	no	—
561	C₂×C₄×C₁₃	—	2	16	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	8	no	—
564	C₂×C₄×C₁₃	—	4	4	no	—
565	C₂×C₄×C₁₃	—	4	2	no	—
566	C₂×C₄×C₁₃	—	4	1	no	—
567	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	complemented
568	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
569	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
570	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
574	C₂²⋊D₁₃	—	2	32	no	—
575	C₂²⋊D₁₃	—	2	16	no	—
576	C₂²⋊D₁₃	—	2	32	no	—
577	C₂²⋊D₁₃	—	2	16	no	—
578	C₂²⋊D₁₃	—	2	16	no	—
579	C₂²⋊D₁₃	—	2	16	no	—
580	C₂²⋊D₁₃	—	4	16	no	—
581	C₂²⋊D₁₃	—	4	8	no	—
582	C₂²⋊D₁₃	C₂²×D₄	1	32	yes	complemented
583	C₂×Dic₁₃	—	2	16	no	—
584	C₂×Dic₁₃	—	2	16	no	—
585	C₂×Dic₁₃	—	2	2	no	—
586	C₂×Dic₁₃	—	2	8	no	—
587	C₂×Dic₁₃	—	4	4	no	—
588	C₂×Dic₁₃	—	4	2	no	—
589	C₂×Dic₁₃	—	4	1	no	—
590	C₂×Dic₁₃	C₂²×D₄	1	4	yes	complemented
591	C₂×Dic₁₃	C₂⁵	1	2	yes	—
592	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
593	C₂×Dic₁₃	C₂⁵	1	4	yes	—
594	C₂×Dic₁₃	C₂⁵	1	8	yes	—
595	C₂×Dic₁₃	C₂⁵	1	2	yes	—
596	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
597	D₅₂	—	2	32	no	—
598	D₅₂	—	2	16	no	—
599	D₅₂	—	2	8	no	—
600	D₅₂	—	2	8	no	—
601	D₅₂	—	4	8	no	—
602	D₅₂	—	4	4	no	—
603	D₅₂	C₂²×D₄	1	16	yes	complemented
604	C₄×D₁₃	—	2	16	no	—
605	C₄×D₁₃	—	2	32	no	—
606	C₄×D₁₃	—	2	2	no	—
607	C₄×D₁₃	—	2	8	no	—
608	C₄×D₁₃	—	2	4	no	—
609	C₄×D₁₃	—	2	16	no	—
610	C₄×D₁₃	—	2	2	no	—
611	C₄×D₁₃	—	2	8	no	—
612	C₄×D₁₃	—	2	16	no	—
613	C₄×D₁₃	—	2	2	no	—
614	C₄×D₁₃	—	2	8	no	—
615	C₄×D₁₃	—	4	4	no	—
616	C₄×D₁₃	—	4	4	no	—
617	C₄×D₁₃	—	4	4	no	—
618	C₄×D₁₃	—	4	2	no	—
619	C₄×D₁₃	C₂²×D₄	1	8	yes	—
620	C₄×D₁₃	C₂²×D₄	1	8	yes	complemented
621	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	complemented
622	Dic₂₆	—	2	8	no	—
623	Dic₂₆	—	2	16	no	—
624	C₂×H(5,𝔽₂)	—	13	8	no	—
625	C₂×H(5,𝔽₂)	—	13	4	no	—
626	C₂×H(5,𝔽₂)	—	13	2	no	—
627	C₂×H(5,𝔽₂)	—	13	8	no	—
628	C₂×H(5,𝔽₂)	—	13	8	no	—
629	C₂×H(5,𝔽₂)	—	26	32	no	—
630	C₂×H(5,𝔽₂)	C₂×D₁₃	1	2	yes	complemented
631	C₂²×#41	—	13	4	no	—
632	C₂²×#41	—	13	8	no	—
633	C₂³×D₄	—	13	1	no	—
634	C₂³×D₄	—	13	8	no	—
635	C₂³×D₄	—	13	8	no	—
636	C₂³×D₄	—	13	4	no	—
637	C₂⁴×C₄	—	13	2	no	—
638	#547	—	13	8	no	—
639	#547	—	13	4	no	—
640	#547	—	13	16	no	—
641	#547	—	13	8	no	—
642	#547	—	13	8	no	—
643	#547	—	13	4	no	—
644	#547	—	13	4	no	—
645	#547	—	13	8	no	—
646	#547	C₂×D₁₃	1	4	yes	complemented
647	#546	—	13	8	no	—
648	#546	—	13	8	no	—
649	#546	—	13	8	no	—
650	#546	—	13	16	no	—
651	#546	—	13	8	no	—
652	#546	—	13	16	no	—
653	#546	—	13	8	no	—
654	#546	—	13	16	no	—
655	#546	—	13	8	no	—
656	#546	—	13	8	no	—
657	#546	—	13	16	no	—
658	#546	C₂×D₁₃	1	8	yes	complemented
659	D₄²	—	13	8	no	—
660	D₄²	—	13	8	no	—
661	D₄²	—	13	4	no	—
662	D₄²	—	13	8	no	—
663	D₄²	—	13	8	no	—
664	D₄²	—	13	16	no	—
665	D₄²	—	13	4	no	—
666	D₄²	—	13	4	no	—
667	D₄²	C₂×D₁₃	1	4	yes	complemented
668	#537	—	13	4	no	—
669	#537	—	13	8	no	—
670	#537	—	13	8	no	—
671	#537	—	13	8	no	—
672	#537	—	13	2	no	—
673	#537	C₂×D₁₃	1	2	yes	complemented
674	#534	—	13	8	no	—
675	#534	—	13	16	no	—
676	#534	—	13	8	no	—
677	#534	—	13	8	no	—
678	#534	—	13	16	no	—
679	#534	—	13	4	no	—
680	#534	C₂×D₁₃	1	4	yes	complemented
681	#532	—	13	4	no	—
682	#532	—	13	2	no	—
683	#532	—	13	2	no	—
684	#532	—	13	4	no	—
685	#532	—	13	4	no	—
686	#532	—	13	4	no	—
687	#532	—	13	4	no	—
688	#532	—	13	4	no	—
689	#532	—	13	2	no	—
690	#532	C₂×D₁₃	1	2	yes	complemented
691	C₂×C₄⋊Q₈	—	13	2	no	—
692	C₂×#127	—	13	2	no	—
693	C₂×#124	—	13	4	no	—
694	C₂×#123	—	13	16	no	—
695	C₂×C₂²⋊Q₈	—	13	8	no	—
696	C₂×#121	—	13	4	no	—
697	C₂×#121	—	13	8	no	—
698	C₂×#121	—	13	4	no	—
699	C₂×#121	—	13	4	no	—
700	C₂×#121	—	13	8	no	—
701	C₂×#121	—	13	8	no	—
702	C₂×#121	—	13	8	no	—
703	C₂×#121	—	13	8	no	—
704	C₂×#121	—	13	8	no	—
705	C₂×#121	—	13	8	no	—
706	C₂×#121	—	13	8	no	—
707	C₂×#121	—	13	4	no	—
708	C₂×#121	—	13	8	no	—
709	C₂×#121	—	13	4	no	—
710	C₂×#121	—	13	8	no	—
711	C₂×#121	C₂×D₁₃	1	4	yes	complemented
712	C₂×#120	—	13	16	no	—
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	2	no	—
715	C₂×C₄×D₄	—	13	4	no	—
716	C₂×C₄×D₄	—	13	4	no	—
717	C₂×C₄×D₄	—	13	4	no	—
718	C₂×C₄×D₄	—	13	4	no	—
719	C₂×C₄×D₄	—	13	4	no	—
720	C₂×C₄×D₄	—	13	4	no	—
721	C₂×C₄×D₄	—	13	1	no	—
722	C₂×C₄×D₄	—	13	2	no	—
723	C₂×C₄×D₄	—	13	1	no	—
724	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
725	C₂²×C₄⋊C₄	—	13	1	no	—
726	C₂²×C₄⋊C₄	—	13	4	no	—
727	C₂²×C₂²⋊C₄	—	13	2	no	—
728	C₂²×C₂²⋊C₄	—	13	8	no	—
729	C₂²×C₄²	—	13	1	no	—
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	4	no	—
732	C₂²×C₁₃	—	2	1	no	—
733	C₂²×C₁₃	—	2	4	no	—
734	C₂²×C₁₃	—	2	8	no	—
735	C₂²×C₁₃	—	2	8	no	—
736	C₂²×C₁₃	—	2	8	no	—
737	C₂²×C₁₃	—	4	8	no	—
738	C₂²×C₁₃	—	8	16	no	—
739	C₂²×C₁₃	C₂³×D₄	1	8	yes	—
740	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
741	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
742	C₂×D₁₃	—	2	1	no	—
743	C₂×D₁₃	—	2	4	no	—
744	C₂×D₁₃	—	2	1	no	—
745	C₂×D₁₃	—	2	4	no	—
746	C₂×D₁₃	—	2	8	no	—
747	C₂×D₁₃	—	2	32	no	—
748	C₂×D₁₃	—	2	8	no	—
749	C₂×D₁₃	—	2	8	no	—
750	C₂×D₁₃	—	2	8	no	—
751	C₂×D₁₃	—	4	16	no	—
752	C₂×D₁₃	—	4	8	no	—
753	C₂×D₁₃	—	4	32	no	—
754	C₂×D₁₃	—	8	32	no	—
755	C₂×D₁₃	—	8	16	no	—
756	C₂×D₁₃	C₂³×D₄	1	8	yes	—
757	C₂×D₁₃	C₂³×D₄	1	2	yes	—
758	C₂×D₁₃	C₂³×D₄	1	2	yes	—
759	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
760	C₂×D₁₃	#585	1	2	yes	—
761	C₄×C₁₃	—	2	8	no	—
762	C₄×C₁₃	—	2	1	no	—
763	C₄×C₁₃	—	2	4	no	—
764	C₄×C₁₃	—	2	2	no	—
765	C₄×C₁₃	C₂³×D₄	1	4	yes	—
766	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	complemented
767	Dic₁₃	—	2	8	no	—
768	Dic₁₃	—	2	1	no	—
769	Dic₁₃	—	2	4	no	—
770	Dic₁₃	—	2	2	no	—
771	Dic₁₃	C₂³×D₄	1	4	yes	—
772	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	complemented
773	C₂⁵	—	13	2	no	—
774	C₂⁵	—	13	8	no	—
775	H(5,𝔽₂)	—	2	16	no	—
776	H(5,𝔽₂)	—	26	64	no	—
777	H(5,𝔽₂)	—	26	64	no	—
778	H(5,𝔽₂)	—	26	64	no	—
779	H(5,𝔽₂)	—	26	32	no	—
780	H(5,𝔽₂)	—	26	16	no	—
781	C₂×#41	—	13	4	no	—
782	C₂×#41	—	13	8	no	—
783	C₂×#41	—	13	8	no	—
784	C₂×#41	—	13	4	no	—
785	C₂×#41	—	13	8	no	—
786	C₂×#41	—	13	16	no	—
787	C₂×#41	—	13	8	no	—
788	C₂×#41	—	13	4	no	—
789	C₂×#41	—	13	8	no	—
790	C₂×#41	—	13	16	no	—
791	C₂×#41	—	26	32	no	—
792	C₂×#41	—	26	64	no	—
793	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
794	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
795	C₂²×Q₈	—	13	4	no	—
796	C₂²×D₄	—	13	2	no	—
797	C₂²×D₄	—	13	16	no	—
798	C₂²×D₄	—	13	4	no	—
799	C₂²×D₄	—	13	4	no	—
800	C₂²×D₄	—	13	8	no	—
801	C₂²×D₄	—	13	8	no	—
802	C₂²×D₄	—	13	16	no	—
803	C₂²×D₄	—	13	8	no	—
804	C₂²×D₄	—	13	4	no	—
805	C₂²×D₄	—	13	16	no	—
806	C₂²×D₄	—	13	8	no	—
807	C₂²×D₄	—	13	4	no	—
808	C₂²×D₄	—	13	16	no	—
809	C₂²×D₄	—	13	16	no	—
810	C₂²×D₄	—	13	16	no	—
811	C₂²×D₄	—	13	8	no	—
812	C₂²×D₄	—	13	8	no	—
813	C₂²×D₄	—	13	4	no	—
814	C₂²×D₄	—	13	8	no	—
815	C₂²×D₄	—	13	8	no	—
816	C₂²×D₄	—	13	8	no	—
817	C₂²×D₄	—	13	1	no	—
818	C₂²×D₄	—	13	8	no	—
819	C₂²×D₄	—	13	8	no	—
820	C₂²×D₄	—	13	4	no	—
821	C₂²×D₄	—	26	64	no	—
822	C₂²×D₄	—	26	64	no	—
823	C₂²×D₄	—	52	16	no	—
824	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
825	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
826	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
827	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
828	C₂³×C₄	—	13	1	no	—
829	C₂³×C₄	—	13	2	no	—
830	C₂³×C₄	—	13	8	no	—
831	C₂³×C₄	—	13	4	no	—
832	C₂³×C₄	—	13	8	no	—
833	C₂³×C₄	—	13	1	no	—
834	C₂³×C₄	—	13	4	no	—
835	C₂³×C₄	—	13	1	no	—
836	C₂³×C₄	—	13	2	no	—
837	C₂³×C₄	—	13	2	no	—
838	C₂³×C₄	—	13	4	no	—
839	C₂³×C₄	—	13	4	no	—
840	C₂³×C₄	—	13	2	no	—
841	C₂³×C₄	—	52	8	no	—
842	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
843	C₄⋊Q₈	—	13	4	no	—
844	C₄⋊Q₈	—	13	4	no	—
845	C₄⋊Q₈	—	13	4	no	—
846	C₄⋊Q₈	—	13	2	no	—
847	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
848	#127	—	13	4	no	—
849	#127	—	13	4	no	—
850	#127	—	13	4	no	—
851	#127	—	13	2	no	—
852	#127	C₂²×D₁₃	1	2	yes	complemented
853	#124	—	13	4	no	—
854	#124	—	13	4	no	—
855	#124	—	13	8	no	—
856	#124	—	13	8	no	—
857	#124	—	13	4	no	—
858	#124	C₂²×D₁₃	1	4	yes	complemented
859	#123	—	13	16	no	—
860	#123	—	13	16	no	—
861	#123	—	13	16	no	—
862	#123	—	13	16	no	—
863	#123	—	13	16	no	—
864	#123	—	13	16	no	—
865	#123	—	13	16	no	—
866	#123	C₂²×D₁₃	1	16	yes	complemented
867	C₂²⋊Q₈	—	13	8	no	—
868	C₂²⋊Q₈	—	13	8	no	—
869	C₂²⋊Q₈	—	13	16	no	—
870	C₂²⋊Q₈	—	13	8	no	—
871	C₂²⋊Q₈	—	13	16	no	—
872	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
873	#121	—	13	4	no	—
874	#121	—	13	8	no	—
875	#121	—	13	8	no	—
876	#121	—	13	16	no	—
877	#121	—	13	8	no	—
878	#121	—	13	16	no	—
879	#121	—	13	8	no	—
880	#121	—	13	16	no	—
881	#121	—	13	4	no	—
882	#121	—	13	8	no	—
883	#121	—	13	8	no	—
884	#121	—	13	16	no	—
885	#121	—	13	4	no	—
886	#121	—	13	8	no	—
887	#121	—	13	8	no	—
888	#121	—	13	8	no	—
889	#121	—	13	4	no	—
890	#121	—	13	8	no	—
891	#121	—	13	4	no	—
892	#121	—	13	8	no	—
893	#121	—	13	8	no	—
894	#121	—	13	8	no	—
895	#121	—	13	4	no	—
896	#121	—	13	8	no	—
897	#121	—	13	8	no	—
898	#121	—	13	16	no	—
899	#121	—	13	16	no	—
900	#121	—	13	16	no	—
901	#121	—	13	8	no	—
902	#121	—	13	16	no	—
903	#121	C₂²×D₁₃	1	4	yes	complemented
904	#121	C₂²×D₁₃	1	8	yes	complemented
905	#121	C₂²×D₁₃	1	8	yes	complemented
906	#121	C₂²×D₁₃	1	8	yes	complemented
907	#121	C₂²×D₁₃	1	4	yes	complemented
908	#121	C₂²×D₁₃	1	8	yes	complemented
909	#120	—	13	16	no	—
910	#120	—	13	16	no	—
911	#120	—	13	16	no	—
912	#120	—	13	16	no	—
913	#120	—	13	16	no	—
914	#120	—	13	16	no	—
915	#120	—	13	16	no	—
916	#120	C₂²×D₁₃	1	16	yes	complemented
917	C₄×D₄	—	13	4	no	—
918	C₄×D₄	—	13	4	no	—
919	C₄×D₄	—	13	4	no	—
920	C₄×D₄	—	13	4	no	—
921	C₄×D₄	—	13	8	no	—
922	C₄×D₄	—	13	8	no	—
923	C₄×D₄	—	13	8	no	—
924	C₄×D₄	—	13	8	no	—
925	C₄×D₄	—	13	4	no	—
926	C₄×D₄	—	13	4	no	—
927	C₄×D₄	—	13	4	no	—
928	C₄×D₄	—	13	4	no	—
929	C₄×D₄	—	13	8	no	—
930	C₄×D₄	—	13	8	no	—
931	C₄×D₄	—	13	8	no	—
932	C₄×D₄	—	13	8	no	—
933	C₄×D₄	—	13	4	no	—
934	C₄×D₄	—	13	4	no	—
935	C₄×D₄	—	13	4	no	—
936	C₄×D₄	—	13	4	no	—
937	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
938	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
939	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
940	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
941	C₂×C₄⋊C₄	—	13	2	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	8	no	—
944	C₂×C₄⋊C₄	—	13	4	no	—
945	C₂×C₄⋊C₄	—	13	4	no	—
946	C₂×C₄⋊C₄	—	13	4	no	—
947	C₂×C₄⋊C₄	—	13	4	no	—
948	C₂×C₄⋊C₄	—	13	8	no	—
949	C₂×C₄⋊C₄	—	13	8	no	—
950	C₂×C₄⋊C₄	—	13	8	no	—
951	C₂×C₄⋊C₄	—	13	4	no	—
952	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
953	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
954	C₂×C₂²⋊C₄	—	13	2	no	—
955	C₂×C₂²⋊C₄	—	13	8	no	—
956	C₂×C₂²⋊C₄	—	13	2	no	—
957	C₂×C₂²⋊C₄	—	13	2	no	—
958	C₂×C₂²⋊C₄	—	13	8	no	—
959	C₂×C₂²⋊C₄	—	13	8	no	—
960	C₂×C₂²⋊C₄	—	13	8	no	—
961	C₂×C₂²⋊C₄	—	13	8	no	—
962	C₂×C₂²⋊C₄	—	13	8	no	—
963	C₂×C₂²⋊C₄	—	13	16	no	—
964	C₂×C₂²⋊C₄	—	13	16	no	—
965	C₂×C₂²⋊C₄	—	13	16	no	—
966	C₂×C₂²⋊C₄	—	13	8	no	—
967	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	complemented
968	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
969	C₂×C₄²	—	13	1	no	—
970	C₂×C₄²	—	13	1	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	2	no	—
973	C₂×C₄²	—	13	2	no	—
974	C₂×C₄²	—	13	2	no	—
975	C₂×C₄²	—	13	2	no	—
976	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic, complemented
977	C₂×C₁₃	—	2	2	no	—
978	C₂×C₁₃	—	2	8	no	—
979	C₂×C₁₃	—	4	8	no	—
980	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
981	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
982	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
983	D₁₃	—	2	2	no	—
984	D₁₃	—	2	8	no	—
985	D₁₃	—	4	8	no	—
986	D₁₃	#3496	1	4	yes	direct product factor
987	C₂⁴	—	13	4	no	—
988	C₂⁴	—	13	1	no	—
989	C₂⁴	—	13	16	no	—
990	C₂⁴	—	13	2	no	—
991	C₂⁴	—	13	4	no	—
992	C₂⁴	—	13	8	no	—
993	C₂⁴	—	13	16	no	—
994	C₂⁴	—	13	8	no	—
995	C₂⁴	—	26	32	no	—
996	C₂⁴	—	52	4	no	—
997	C₂⁴	—	52	4	no	—
998	C₂⁴	—	52	16	no	—
999	C₂⁴	—	52	16	no	—
1000	C₂⁴	C₂³×D₁₃	1	8	yes	—
1001	C₂⁴	C₂³×D₁₃	1	2	yes	—
1002	#41	—	2	32	no	—
1003	#41	—	2	16	no	—
1004	#41	—	26	32	no	—
1005	#41	—	26	64	no	—
1006	#41	—	26	32	no	—
1007	#41	—	26	32	no	—
1008	#41	—	26	16	no	—
1009	#41	—	26	16	no	—
1010	#41	—	26	64	no	—
1011	#41	—	26	32	no	—
1012	#41	—	26	32	no	—
1013	#41	—	26	16	no	—
1014	C₂×Q₈	—	13	8	no	—
1015	C₂×Q₈	—	13	4	no	—
1016	C₂×Q₈	—	26	16	no	—
1017	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1018	C₂×D₄	—	2	32	no	—
1019	C₂×D₄	—	2	32	no	—
1020	C₂×D₄	—	4	8	no	—
1021	C₂×D₄	—	13	16	no	—
1022	C₂×D₄	—	13	8	no	—
1023	C₂×D₄	—	13	32	no	—
1024	C₂×D₄	—	13	32	no	—
1025	C₂×D₄	—	13	8	no	—
1026	C₂×D₄	—	13	16	no	—
1027	C₂×D₄	—	13	16	no	—
1028	C₂×D₄	—	13	8	no	—
1029	C₂×D₄	—	13	8	no	—
1030	C₂×D₄	—	13	8	no	—
1031	C₂×D₄	—	13	8	no	—
1032	C₂×D₄	—	13	16	no	—
1033	C₂×D₄	—	13	8	no	—
1034	C₂×D₄	—	13	4	no	—
1035	C₂×D₄	—	13	4	no	—
1036	C₂×D₄	—	13	16	no	—
1037	C₂×D₄	—	13	8	no	—
1038	C₂×D₄	—	13	4	no	—
1039	C₂×D₄	—	13	4	no	—
1040	C₂×D₄	—	13	8	no	—
1041	C₂×D₄	—	26	32	no	—
1042	C₂×D₄	—	26	32	no	—
1043	C₂×D₄	—	26	16	no	—
1044	C₂×D₄	—	26	16	no	—
1045	C₂×D₄	—	26	64	no	—
1046	C₂×D₄	—	26	32	no	—
1047	C₂×D₄	—	26	32	no	—
1048	C₂×D₄	—	26	64	no	—
1049	C₂×D₄	—	26	64	no	—
1050	C₂×D₄	—	26	64	no	—
1051	C₂×D₄	—	26	64	no	—
1052	C₂×D₄	—	26	32	no	—
1053	C₂×D₄	—	26	32	no	—
1054	C₂×D₄	—	26	32	no	—
1055	C₂×D₄	—	52	8	no	—
1056	C₂×D₄	—	52	16	no	—
1057	C₂×D₄	—	52	16	no	—
1058	C₂×D₄	—	52	16	no	—
1059	C₂×D₄	—	52	8	no	—
1060	C₂×D₄	—	52	16	no	—
1061	C₂×D₄	D₄×D₁₃	1	8	yes	complemented
1062	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1063	C₂×D₄	C₂³×D₁₃	1	16	yes	—
1064	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1065	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1066	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1067	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1068	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1069	C₂²×C₄	—	4	4	no	—
1070	C₂²×C₄	—	13	1	no	—
1071	C₂²×C₄	—	13	8	no	—
1072	C₂²×C₄	—	13	1	no	—
1073	C₂²×C₄	—	13	2	no	—
1074	C₂²×C₄	—	13	2	no	—
1075	C₂²×C₄	—	13	1	no	—
1076	C₂²×C₄	—	13	8	no	—
1077	C₂²×C₄	—	13	4	no	—
1078	C₂²×C₄	—	13	8	no	—
1079	C₂²×C₄	—	13	1	no	—
1080	C₂²×C₄	—	13	4	no	—
1081	C₂²×C₄	—	13	2	no	—
1082	C₂²×C₄	—	13	2	no	—
1083	C₂²×C₄	—	13	1	no	—
1084	C₂²×C₄	—	13	1	no	—
1085	C₂²×C₄	—	13	1	no	—
1086	C₂²×C₄	—	13	4	no	—
1087	C₂²×C₄	—	13	8	no	—
1088	C₂²×C₄	—	13	16	no	—
1089	C₂²×C₄	—	13	4	no	—
1090	C₂²×C₄	—	13	4	no	—
1091	C₂²×C₄	—	13	8	no	—
1092	C₂²×C₄	—	13	8	no	—
1093	C₂²×C₄	—	13	2	no	—
1094	C₂²×C₄	—	13	4	no	—
1095	C₂²×C₄	—	13	4	no	—
1096	C₂²×C₄	—	13	4	no	—
1097	C₂²×C₄	—	26	4	no	—
1098	C₂²×C₄	—	26	16	no	—
1099	C₂²×C₄	—	26	32	no	—
1100	C₂²×C₄	—	26	32	no	—
1101	C₂²×C₄	—	52	4	no	—
1102	C₂²×C₄	—	52	8	no	—
1103	C₂²×C₄	—	52	8	no	—
1104	C₂²×C₄	—	52	4	no	—
1105	C₂²×C₄	—	52	8	no	—
1106	C₂²×C₄	—	52	4	no	—
1107	C₂²×C₄	—	52	2	no	—
1108	C₂²×C₄	—	52	4	no	—
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1111	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1112	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1113	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1115	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1116	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1117	C₄⋊C₄	—	13	8	no	—
1118	C₄⋊C₄	—	13	4	no	—
1119	C₄⋊C₄	—	13	8	no	—
1120	C₄⋊C₄	—	13	4	no	—
1121	C₄⋊C₄	—	13	16	no	—
1122	C₄⋊C₄	—	13	8	no	—
1123	C₄⋊C₄	—	13	8	no	—
1124	C₄⋊C₄	—	13	4	no	—
1125	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1126	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1127	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1128	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1129	C₂²⋊C₄	—	13	8	no	—
1130	C₂²⋊C₄	—	13	8	no	—
1131	C₂²⋊C₄	—	13	16	no	—
1132	C₂²⋊C₄	—	13	8	no	—
1133	C₂²⋊C₄	—	13	8	no	—
1134	C₂²⋊C₄	—	13	8	no	—
1135	C₂²⋊C₄	—	13	8	no	—
1136	C₂²⋊C₄	—	13	8	no	—
1137	C₂²⋊C₄	—	13	16	no	—
1138	C₂²⋊C₄	—	13	16	no	—
1139	C₂²⋊C₄	—	13	8	no	—
1140	C₂²⋊C₄	—	13	8	no	—
1141	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1142	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1143	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	—
1144	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1145	C₄²	—	13	2	no	—
1146	C₄²	—	13	2	no	—
1147	C₄²	—	13	2	no	—
1148	C₄²	—	13	2	no	—
1149	C₄²	—	13	2	no	—
1150	C₄²	—	13	2	no	—
1151	C₄²	C₂³×D₁₃	1	2	yes	—
1152	C₄²	C₂³×D₁₃	1	2	yes	—
1153	C₁₃	C₂×#3496	1	1	yes	characteristic, complemented, Sylow
1154	C₂³	—	2	16	no	—
1155	C₂³	—	4	2	no	—
1156	C₂³	—	4	2	no	—
1157	C₂³	—	4	8	no	—
1158	C₂³	—	4	8	no	—
1159	C₂³	—	13	1	no	—
1160	C₂³	—	13	4	no	—
1161	C₂³	—	13	16	no	—
1162	C₂³	—	13	4	no	—
1163	C₂³	—	13	1	no	—
1164	C₂³	—	13	16	no	—
1165	C₂³	—	13	8	no	—
1166	C₂³	—	13	8	no	—
1167	C₂³	—	26	2	no	—
1168	C₂³	—	26	8	no	—
1169	C₂³	—	26	2	no	—
1170	C₂³	—	26	8	no	—
1171	C₂³	—	26	16	no	—
1172	C₂³	—	26	16	no	—
1173	C₂³	—	26	16	no	—
1174	C₂³	—	26	32	no	—
1175	C₂³	—	26	16	no	—
1176	C₂³	—	52	2	no	—
1177	C₂³	—	52	4	no	—
1178	C₂³	—	52	2	no	—
1179	C₂³	—	52	4	no	—
1180	C₂³	—	52	8	no	—
1181	C₂³	—	52	16	no	—
1182	C₂³	—	52	8	no	—
1183	C₂³	—	52	16	no	—
1184	C₂³	—	52	32	no	—
1185	C₂³	—	104	64	no	—
1186	C₂³	C₂×D₄×D₁₃	1	8	yes	complemented
1187	C₂³	C₂⁴×D₁₃	1	8	yes	—
1188	C₂³	C₂⁴×D₁₃	1	4	yes	—
1189	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1190	Q₈	—	2	8	no	—
1191	Q₈	—	26	16	no	—
1192	Q₈	—	26	8	no	—
1193	D₄	—	2	32	no	—
1194	D₄	—	2	16	no	—
1195	D₄	—	2	8	no	—
1196	D₄	—	2	8	no	—
1197	D₄	—	4	8	no	—
1198	D₄	—	4	4	no	—
1199	D₄	—	13	32	no	—
1200	D₄	—	13	16	no	—
1201	D₄	—	26	16	no	—
1202	D₄	—	26	32	no	—
1203	D₄	—	26	16	no	—
1204	D₄	—	26	16	no	—
1205	D₄	—	26	16	no	—
1206	D₄	—	26	32	no	—
1207	D₄	—	26	32	no	—
1208	D₄	—	26	16	no	—
1209	D₄	—	26	8	no	—
1210	D₄	—	26	8	no	—
1211	D₄	—	52	4	no	—
1212	D₄	—	52	8	no	—
1213	D₄	—	52	8	no	—
1214	D₄	—	52	16	no	—
1215	D₄	C₂×D₄×D₁₃	1	16	yes	complemented
1216	C₂×C₄	—	2	16	no	—
1217	C₂×C₄	—	2	16	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	8	no	—
1220	C₂×C₄	—	4	4	no	—
1221	C₂×C₄	—	4	2	no	—
1222	C₂×C₄	—	4	1	no	—
1223	C₂×C₄	—	13	4	no	—
1224	C₂×C₄	—	13	1	no	—
1225	C₂×C₄	—	13	2	no	—
1226	C₂×C₄	—	13	8	no	—
1227	C₂×C₄	—	13	8	no	—
1228	C₂×C₄	—	13	4	no	—
1229	C₂×C₄	—	13	2	no	—
1230	C₂×C₄	—	13	1	no	—
1231	C₂×C₄	—	13	4	no	—
1232	C₂×C₄	—	13	8	no	—
1233	C₂×C₄	—	26	2	no	—
1234	C₂×C₄	—	26	8	no	—
1235	C₂×C₄	—	26	16	no	—
1236	C₂×C₄	—	26	16	no	—
1237	C₂×C₄	—	26	2	no	—
1238	C₂×C₄	—	26	8	no	—
1239	C₂×C₄	—	26	32	no	—
1240	C₂×C₄	—	26	4	no	—
1241	C₂×C₄	—	26	2	no	—
1242	C₂×C₄	—	26	8	no	—
1243	C₂×C₄	—	26	16	no	—
1244	C₂×C₄	—	26	16	no	—
1245	C₂×C₄	—	26	16	no	—
1246	C₂×C₄	—	26	2	no	—
1247	C₂×C₄	—	26	8	no	—
1248	C₂×C₄	—	52	2	no	—
1249	C₂×C₄	—	52	4	no	—
1250	C₂×C₄	—	52	4	no	—
1251	C₂×C₄	—	52	4	no	—
1252	C₂×C₄	—	52	1	no	—
1253	C₂×C₄	—	52	4	no	—
1254	C₂×C₄	—	52	2	no	—
1255	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	complemented
1256	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1257	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1258	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1259	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1260	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1261	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	8	no	—
1267	C₂²	—	2	8	no	—
1268	C₂²	—	2	8	no	—
1269	C₂²	—	4	8	no	—
1270	C₂²	—	8	16	no	—
1271	C₂²	—	13	2	no	—
1272	C₂²	—	13	2	no	—
1273	C₂²	—	13	2	no	—
1274	C₂²	—	13	2	no	—
1275	C₂²	—	13	8	no	—
1276	C₂²	—	26	8	no	—
1277	C₂²	—	26	32	no	—
1278	C₂²	—	26	1	no	—
1279	C₂²	—	26	4	no	—
1280	C₂²	—	26	1	no	—
1281	C₂²	—	26	4	no	—
1282	C₂²	—	26	8	no	—
1283	C₂²	—	26	8	no	—
1284	C₂²	—	26	8	no	—
1285	C₂²	—	52	8	no	—
1286	C₂²	—	52	16	no	—
1287	C₂²	—	52	32	no	—
1288	C₂²	—	104	16	no	—
1289	C₂²	—	104	32	no	—
1290	C₂²	C₂²×D₄×D₁₃	1	8	yes	—
1291	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1292	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1293	C₄	—	2	8	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	4	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	13	4	no	—
1298	C₄	—	13	2	no	—
1299	C₄	—	26	8	no	—
1300	C₄	—	26	1	no	—
1301	C₄	—	26	4	no	—
1302	C₄	—	26	2	no	—
1303	C₄	C₂²×D₄×D₁₃	1	4	yes	—
1304	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	complemented
1305	C₂	—	2	2	no	—
1306	C₂	—	2	8	no	—
1307	C₂	—	4	8	no	—
1308	C₂	—	13	4	no	—
1309	C₂	—	26	2	no	—
1310	C₂	—	26	8	no	—
1311	C₂	—	52	8	no	—
1312	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1313	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3496	C₂
hypercenter	#3496	D₁₃
hypocenter	C₁₃	C₂×#3496
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3496

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. #13128600	C₂	semidirect
3. #13128599	C₂	semidirect
4. #13128598	C₂	semidirect
5. #13128597	C₂	semidirect
6. #13128596	C₂	semidirect
7. #13128595	C₂	semidirect
8. #13128594	C₂	semidirect
9. #13128593	C₂	semidirect
10. #13128592	C₂	semidirect
11. D₁₃×#547	C₂	semidirect
12. D₁₃×#546	C₂	semidirect
13. D₄²×D₁₃	C₂	semidirect
14. D₁₃×#537	C₂	semidirect
15. D₁₃×#534	C₂	semidirect
16. D₁₃×#532	C₂	semidirect
17. C₂×D₁₃×#121	C₂	semidirect
18. C₂×C₄×D₄×D₁₃	C₂	semidirect
19. C₁₃×#3496	C₂	semidirect
20. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
22. C₂×#88256	C₂²	semidirect
23. C₂×#88256	C₂²	semidirect
24. C₂×#41×D₁₃	C₂²	semidirect
25. C₂×#41×D₁₃	C₂²	semidirect
26. C₂×#88251	C₂²	semidirect
27. C₂×#88251	C₂²	semidirect
28. C₂×#88251	C₂²	semidirect
30. C₂²×D₄×D₁₃	C₂²	semidirect
31. C₂²×D₄×D₁₃	C₂²	semidirect
32. C₂²×D₄×D₁₃	C₂²	semidirect
33. C₂³×C₄×D₁₃	C₂²	semidirect
34. C₁₃×#547	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
36. D₄²×C₁₃	C₂²	semidirect
37. C₁₃×#537	C₂²	semidirect
38. C₁₃×#534	C₂²	semidirect
39. C₁₃×#532	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. #11719538	C₂²	semidirect
43. #11719537	C₂²	semidirect
44. #11719534	C₂²	semidirect
45. #11719529	C₂²	semidirect
46. #11719511	C₂²	semidirect
47. #11719509	C₂²	semidirect
48. C₂×#88193	C₂²	semidirect
49. D₄×C₂²⋊D₁₃	C₂²	semidirect
50. D₄×C₂²⋊D₁₃	C₂²	semidirect
51. C₂×#88192	C₂²	semidirect
52. C₂×D₄×Dic₁₃	C₂²	semidirect
53. C₂×#88184	C₂²	semidirect
54. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
55. #11719431	C₂²	semidirect
56. #11719430	C₂²	semidirect
57. D₁₃×C₄⋊Q₈	C₂²	semidirect
58. #11719422	C₂²	semidirect
59. #11719421	C₂²	semidirect
60. D₁₃×#127	C₂²	semidirect
61. #11719381	C₂²	semidirect
62. D₁₃×#124	C₂²	semidirect
63. #11719373	C₂²	semidirect
64. #11719360	C₂²	semidirect
65. #11719359	C₂²	semidirect
66. #11719358	C₂²	semidirect
67. D₁₃×#123	C₂²	semidirect
68. #11719336	C₂²	semidirect
69. #11719335	C₂²	semidirect
70. #11719334	C₂²	semidirect
71. D₁₃×C₂²⋊Q₈	C₂²	semidirect
72. #11719317	C₂²	semidirect
73. #11719316	C₂²	semidirect
74. #11719315	C₂²	semidirect
75. #11719314	C₂²	semidirect
76. #11719314	C₂²	semidirect
77. #11719313	C₂²	semidirect
78. #11719310	C₂²	semidirect
79. #11719310	C₂²	semidirect
80. D₁₃×#121	C₂²	semidirect
81. D₁₃×#121	C₂²	semidirect
82. D₁₃×#121	C₂²	semidirect
83. D₁₃×#121	C₂²	semidirect
84. D₁₃×#121	C₂²	semidirect
85. D₁₃×#121	C₂²	semidirect
86. D₁₃×#121	C₂²	semidirect
87. D₁₃×#121	C₂²	semidirect
88. D₁₃×#121	C₂²	semidirect
89. D₁₃×#121	C₂²	semidirect
90. #11719302	C₂²	semidirect
91. #11719301	C₂²	semidirect
92. #11719301	C₂²	semidirect
93. #11719296	C₂²	semidirect
94. #11719295	C₂²	semidirect
95. #11719294	C₂²	semidirect
96. D₁₃×#120	C₂²	semidirect
97. #11719260	C₂²	semidirect
98. #11719259	C₂²	semidirect
99. #11719256	C₂²	semidirect
100. #11719255	C₂²	semidirect
101. D₄×D₅₂	C₂²	semidirect
102. D₄×D₅₂	C₂²	semidirect
103. #11719253	C₂²	semidirect
104. #11719253	C₂²	semidirect
105. C₄×D₄×D₁₃	C₂²	semidirect
106. C₄×D₄×D₁₃	C₂²	semidirect
107. C₄×D₄×D₁₃	C₂²	semidirect
108. C₄×D₄×D₁₃	C₂²	semidirect
109. C₄×D₄×D₁₃	C₂²	semidirect
110. C₄×D₄×D₁₃	C₂²	semidirect
111. #11719215	C₂²	semidirect
112. #11719212	C₂²	semidirect
113. C₂×#88149	C₂²	semidirect
114. C₂×#88147	C₂²	semidirect
115. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
116. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
117. #11719198	C₂²	semidirect
118. #11719195	C₂²	semidirect
119. C₂×#88138	C₂²	semidirect
120. C₂×#88135	C₂²	semidirect
121. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
122. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
123. #11719182	C₂²	semidirect
124. C₂×C₄×D₅₂	C₂²	semidirect
125. C₂×C₄²×D₁₃	C₂²	semidirect
129. C₂×C₁₃×#41	C₂³	semidirect
130. C₂×C₁₃×#41	C₂³	semidirect
132. C₂²×D₄×C₁₃	C₂³	semidirect
133. C₂²×D₄×C₁₃	C₂³	semidirect
134. C₂²×D₄×C₁₃	C₂³	semidirect
135. C₂³×C₄×C₁₃	C₂³	semidirect
137. C₂²×C₂²⋊D₁₃	C₂³	semidirect
138. C₂²×C₂²⋊D₁₃	C₂³	semidirect
139. C₂²×C₂²⋊D₁₃	C₂³	semidirect
140. C₂²×C₂²⋊D₁₃	C₂³	semidirect
141. C₂³×Dic₁₃	C₂³	semidirect
146. C₂×#6131	C₂³	semidirect
147. C₂×#6131	C₂³	semidirect
152. C₂×#6129	C₂³	semidirect
153. C₂×#6129	C₂³	semidirect
154. C₂×#6129	C₂³	semidirect
155. C₂×#6129	C₂³	semidirect
159. C₂×D₄×D₁₃	D₄	semidirect
168. C₂×D₄×D₁₃	C₂³	semidirect
169. C₂×D₄×D₁₃	C₂³	semidirect
170. C₂×D₄×D₁₃	C₂³	semidirect
171. C₂×D₄×D₁₃	C₂³	semidirect
172. C₂×D₄×D₁₃	C₂³	semidirect
173. C₂×D₄×D₁₃	C₂³	semidirect
174. C₂×D₄×D₁₃	C₂³	semidirect
175. C₂×#6127	C₂³	semidirect
176. C₂×#6127	C₂³	semidirect
177. C₂×#6127	C₂³	semidirect
178. C₂×#6127	C₂³	semidirect
180. C₂²×D₅₂	C₂³	semidirect
181. C₂²×D₅₂	C₂³	semidirect
182. C₂²×D₅₂	C₂³	semidirect
192. C₂²×C₄×D₁₃	C₂³	semidirect
193. C₂²×C₄×D₁₃	C₂³	semidirect
194. C₂²×C₄×D₁₃	C₂³	semidirect
195. C₂²×C₄×D₁₃	C₂³	semidirect
196. C₁₃×C₄⋊Q₈	C₂³	semidirect
197. C₁₃×#127	C₂³	semidirect
198. C₁₃×#124	C₂³	semidirect
199. C₁₃×#123	C₂³	semidirect
200. C₁₃×C₂²⋊Q₈	C₂³	semidirect
201. C₁₃×#121	C₂³	semidirect
202. C₁₃×#121	C₂³	semidirect
203. C₁₃×#121	C₂³	semidirect
204. C₁₃×#121	C₂³	semidirect
205. C₁₃×#121	C₂³	semidirect
206. C₁₃×#121	C₂³	semidirect
207. C₁₃×#120	C₂³	semidirect
208. C₄×D₄×C₁₃	C₂³	semidirect
209. C₄×D₄×C₁₃	C₂³	semidirect
210. C₄×D₄×C₁₃	C₂³	semidirect
211. C₄×D₄×C₁₃	C₂³	semidirect
212. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
213. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
214. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
215. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
216. C₂×C₄²×C₁₃	C₂³	semidirect
217. #88207	C₂³	semidirect
218. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
219. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
220. #88201	C₂³	semidirect
221. #88200	C₂³	semidirect
222. #88198	C₂³	semidirect
223. #88194	C₂³	semidirect
224. #88194	C₂³	semidirect
225. #88194	C₂³	semidirect
226. #88193	C₂³	semidirect
227. #88193	C₂³	semidirect
228. #88193	C₂³	semidirect
229. #88193	C₂³	semidirect
230. #88193	C₂³	semidirect
231. #88193	C₂³	semidirect
232. #88192	C₂³	semidirect
233. #88192	C₂³	semidirect
234. #88192	C₂³	semidirect
235. #88192	C₂³	semidirect
236. #88192	C₂³	semidirect
237. #88192	C₂³	semidirect
238. #88191	C₂³	semidirect
239. #88191	C₂³	semidirect
240. #88191	C₂³	semidirect
241. #88190	C₂³	semidirect
242. #88189	C₂³	semidirect
243. D₄×Dic₁₃	C₂³	semidirect
244. D₄×Dic₁₃	C₂³	semidirect
245. D₄×Dic₁₃	C₂³	semidirect
246. D₄×Dic₁₃	C₂³	semidirect
247. #88184	C₂³	semidirect
248. #88184	C₂³	semidirect
249. #88184	C₂³	semidirect
250. #88184	C₂³	semidirect
251. #88184	C₂³	semidirect
252. #88184	C₂³	semidirect
253. #88183	C₂³	semidirect
254. C₄×C₂²⋊D₁₃	C₂³	semidirect
255. C₄×C₂²⋊D₁₃	C₂³	semidirect
256. C₄×C₂²⋊D₁₃	C₂³	semidirect
257. C₄×C₂²⋊D₁₃	C₂³	semidirect
258. C₂×#6103	C₂³	semidirect
259. C₂×#6103	C₂³	semidirect
260. C₂×#6103	C₂³	semidirect
261. C₂×#6103	C₂³	semidirect
262. C₂×C₄⋊Dic₁₃	C₂³	semidirect
263. C₂×C₄⋊Dic₁₃	C₂³	semidirect
264. #88178	C₂³	semidirect
265. C₂×#6101	C₂³	semidirect
266. C₂×#6101	C₂³	semidirect
267. C₂×C₄×Dic₁₃	C₂³	semidirect
268. C₂×C₄×Dic₁₃	C₂³	semidirect
269. C₂×C₄×Dic₁₃	C₂³	semidirect
270. #88151	C₂³	semidirect
271. #88150	C₂³	semidirect
272. #88149	C₂³	semidirect
273. #88149	C₂³	semidirect
274. #88149	C₂³	semidirect
275. #88149	C₂³	semidirect
276. #88149	C₂³	semidirect
277. #88149	C₂³	semidirect
278. #88148	C₂³	semidirect
279. #88148	C₂³	semidirect
280. #88147	C₂³	semidirect
281. #88147	C₂³	semidirect
282. #88147	C₂³	semidirect
283. #88147	C₂³	semidirect
288. C₄⋊C₄×D₁₃	C₂³	semidirect
289. C₄⋊C₄×D₁₃	C₂³	semidirect
290. C₄⋊C₄×D₁₃	C₂³	semidirect
291. #88142	C₂³	semidirect
292. #88142	C₂³	semidirect
293. #88140	C₂³	semidirect
294. #88139	C₂³	semidirect
295. #88139	C₂³	semidirect
296. #88138	C₂³	semidirect
297. #88138	C₂³	semidirect
298. #88138	C₂³	semidirect
299. #88138	C₂³	semidirect
300. #88138	C₂³	semidirect
301. #88138	C₂³	semidirect
302. #88137	C₂³	semidirect
303. #88137	C₂³	semidirect
304. #88136	C₂³	semidirect
305. #88136	C₂³	semidirect
306. #88136	C₂³	semidirect
307. #88135	C₂³	semidirect
308. #88135	C₂³	semidirect
309. #88135	C₂³	semidirect
310. #88135	C₂³	semidirect
315. C₂²⋊C₄×D₁₃	C₂³	semidirect
316. C₂²⋊C₄×D₁₃	C₂³	semidirect
317. C₂²⋊C₄×D₁₃	C₂³	semidirect
318. #88132	C₂³	semidirect
319. #88129	C₂³	semidirect
320. #88128	C₂³	semidirect
321. C₄×D₅₂	C₂³	semidirect
322. C₄×D₅₂	C₂³	semidirect
323. C₄×D₅₂	C₂³	semidirect
324. C₄×D₅₂	C₂³	semidirect
327. C₄²×D₁₃	C₂³	semidirect
328. C₄²×D₁₃	C₂³	semidirect
329. #88123	C₂³	semidirect
338. C₂³×D₁₃	C₂×D₄	semidirect
352. C₂×D₄×C₁₃	C₂×D₄	semidirect
373. C₂×C₂²⋊D₁₃	C₂×D₄	semidirect
412. D₄×D₁₃	C₂×D₄	semidirect
413. D₄×D₁₃	C₂×D₄	semidirect
421. C₂×D₅₂	C₂×D₄	semidirect
440. C₂×C₄×D₁₃	C₂×D₄	semidirect
507. #3496	D₁₃	direct (N × H)
521. C₂³×C₁₃	C₂²×D₄	semidirect
546. C₂²×D₁₃	C₂²×D₄	semidirect
547. C₂²×D₁₃	C₂²×D₄	semidirect
559. D₄×C₁₃	C₂²×D₄	semidirect
567. C₂×C₄×C₁₃	C₂²×D₄	semidirect
582. C₂²⋊D₁₃	C₂²×D₄	semidirect
590. C₂×Dic₁₃	C₂²×D₄	semidirect
603. D₅₂	C₂²×D₄	semidirect
620. C₄×D₁₃	C₂²×D₄	semidirect
621. C₄×D₁₃	H(5,𝔽₂)	semidirect
630. C₂×H(5,𝔽₂)	C₂×D₁₃	semidirect
646. #547	C₂×D₁₃	semidirect
658. #546	C₂×D₁₃	semidirect
667. D₄²	C₂×D₁₃	semidirect
673. #537	C₂×D₁₃	semidirect
680. #534	C₂×D₁₃	semidirect
690. #532	C₂×D₁₃	semidirect
711. C₂×#121	C₂×D₁₃	semidirect
724. C₂×C₄×D₄	C₂×D₁₃	semidirect
766. C₄×C₁₃	C₂×H(5,𝔽₂)	semidirect
772. Dic₁₃	C₂×H(5,𝔽₂)	semidirect
793. C₂×#41	C₂²×D₁₃	semidirect
794. C₂×#41	C₂²×D₁₃	semidirect
825. C₂²×D₄	C₂²×D₁₃	semidirect
826. C₂²×D₄	C₂²×D₁₃	semidirect
827. C₂²×D₄	C₂²×D₁₃	semidirect
842. C₂³×C₄	C₂²×D₁₃	semidirect
847. C₄⋊Q₈	C₂²×D₁₃	semidirect
852. #127	C₂²×D₁₃	semidirect
858. #124	C₂²×D₁₃	semidirect
866. #123	C₂²×D₁₃	semidirect
872. C₂²⋊Q₈	C₂²×D₁₃	semidirect
903. #121	C₂²×D₁₃	semidirect
904. #121	C₂²×D₁₃	semidirect
905. #121	C₂²×D₁₃	semidirect
906. #121	C₂²×D₁₃	semidirect
907. #121	C₂²×D₁₃	semidirect
908. #121	C₂²×D₁₃	semidirect
916. #120	C₂²×D₁₃	semidirect
937. C₄×D₄	C₂²×D₁₃	semidirect
938. C₄×D₄	C₂²×D₁₃	semidirect
939. C₄×D₄	C₂²×D₁₃	semidirect
940. C₄×D₄	C₂²×D₁₃	semidirect
952. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
953. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
967. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
968. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
976. C₂×C₄²	C₂²×D₁₃	semidirect
986. D₁₃	#3496	direct (N × H)
1061. C₂×D₄	D₄×D₁₃	semidirect
1153. C₁₃	C₂×#3496	semidirect
1186. C₂³	C₂×D₄×D₁₃	semidirect
1215. D₄	C₂×D₄×D₁₃	semidirect
1255. C₂×C₄	C₂×D₄×D₁₃	semidirect
1304. C₄	D₁₃×H(5,𝔽₂)	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
#13128600	2
#13128599	2
#13128598	2
#13128597	2
#13128596	2
#13128595	2
#13128594	2
#13128593	2
#13128592	2
D₁₃×#547	2
D₁₃×#546	2
D₄²×D₁₃	2
D₁₃×#537	2
D₁₃×#534	2
D₁₃×#532	2
C₂×D₁₃×#121	2
C₂×C₄×D₄×D₁₃	2
C₁₃×#3496	2
C₂×#3496	13

Subgroups — D13×#3496 #16770804

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3496 #16770804