Subgroups — D₁₃×#3491 #16770965

Order 3328.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128535	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128534	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128533	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128532	C₂	1	2	yes	maximal, complemented
5	#13128531	C₂	1	8	yes	maximal, complemented
6	#13128530	C₂	1	4	yes	maximal, complemented
7	#13128529	C₂	1	2	yes	maximal, complemented
8	#13128528	C₂	1	4	yes	maximal, complemented
9	#13128527	C₂	1	8	yes	maximal, complemented
10	D₁₃×#552	C₂	1	8	yes	maximal, complemented
11	D₁₃×#551	C₂	1	8	yes	maximal, complemented
12	D₁₃×#543	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₃×#539	C₂	1	4	yes	maximal, complemented
14	D₁₃×#534	C₂	1	1	yes	maximal, characteristic
15	D₁₃×#529	C₂	1	4	yes	maximal, complemented
16	C₂×D₁₃×#123	C₂	1	2	yes	maximal, complemented
17	D₁₃×#518	C₂	1	2	yes	maximal, complemented
18	C₂×D₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3491	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
21	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
22	C₁₃×#552	C₂²	1	8	yes	complemented
23	C₁₃×#551	C₂²	1	8	yes	complemented
24	C₁₃×#543	C₂²	1	1	yes	characteristic, complemented
25	C₁₃×#539	C₂²	1	4	yes	complemented
26	C₁₃×#534	C₂²	1	1	yes	characteristic
27	C₁₃×#529	C₂²	1	4	yes	complemented
28	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
29	C₁₃×#518	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
31	#11719509	C₂²	1	2	yes	—
32	#11719503	C₂²	1	2	yes	complemented
33	C₂×#88189	C₂²	1	2	yes	complemented
34	C₂×#88183	C₂²	1	2	yes	complemented
35	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
36	#11719413	C₂²	1	8	yes	complemented
37	#11719413	C₂²	1	8	yes	complemented
38	#11719412	C₂²	1	8	yes	complemented
39	#11719411	C₂²	1	8	yes	complemented
40	#11719410	C₂²	1	8	yes	complemented
41	#11719410	C₂²	1	8	yes	complemented
42	D₁₃×#126	C₂²	1	8	yes	complemented
43	D₁₃×#126	C₂²	1	8	yes	complemented
44	#11719399	C₂²	1	8	yes	complemented
45	#11719398	C₂²	1	8	yes	complemented
46	#11719398	C₂²	1	8	yes	complemented
47	#11719397	C₂²	1	8	yes	complemented
48	#11719396	C₂²	1	4	yes	complemented
49	D₁₃×#125	C₂²	1	4	yes	complemented
50	D₁₃×#125	C₂²	1	8	yes	complemented
51	#11719385	C₂²	1	4	yes	complemented
52	#11719384	C₂²	1	8	yes	complemented
53	D₁₃×#124	C₂²	1	4	yes	complemented
54	#11719370	C₂²	1	8	yes	complemented
55	#11719365	C₂²	1	8	yes	complemented
56	#11719364	C₂²	1	8	yes	complemented
57	#11719363	C₂²	1	8	yes	complemented
58	#11719363	C₂²	1	8	yes	complemented
59	#11719358	C₂²	1	4	yes	—
60	D₁₃×#123	C₂²	1	8	yes	—
61	D₁₃×#123	C₂²	1	4	yes	—
62	D₁₃×#123	C₂²	1	4	yes	complemented
63	D₁₃×#123	C₂²	1	4	yes	complemented
64	D₁₃×#123	C₂²	1	8	yes	complemented
65	D₁₃×#123	C₂²	1	4	yes	complemented
66	D₁₃×#123	C₂²	1	4	yes	complemented
67	D₁₃×#123	C₂²	1	8	yes	complemented
68	#11719355	C₂²	1	8	yes	complemented
69	#11719355	C₂²	1	8	yes	complemented
70	#11719354	C₂²	1	8	yes	complemented
71	#11719350	C₂²	1	4	yes	complemented
72	#11719347	C₂²	1	8	yes	complemented
73	#11719344	C₂²	1	8	yes	complemented
74	#11719343	C₂²	1	8	yes	complemented
75	#11719342	C₂²	1	8	yes	complemented
76	#11719342	C₂²	1	8	yes	complemented
77	#11719339	C₂²	1	8	yes	complemented
78	#11719339	C₂²	1	4	yes	complemented
79	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
80	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
81	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
82	#11719329	C₂²	1	4	yes	complemented
83	#11719310	C₂²	1	4	yes	—
84	D₁₃×#121	C₂²	1	4	yes	—
85	#11719307	C₂²	1	4	yes	complemented
86	#11719305	C₂²	1	4	yes	complemented
87	#11719294	C₂²	1	4	yes	—
88	D₁₃×#120	C₂²	1	4	yes	—
89	#11719292	C₂²	1	8	yes	complemented
90	#11719286	C₂²	1	8	yes	complemented
91	#11719285	C₂²	1	4	yes	complemented
92	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
93	#11719269	C₂²	1	8	yes	complemented
94	#11719262	C₂²	1	4	yes	complemented
95	#11719261	C₂²	1	8	yes	complemented
96	#11719261	C₂²	1	8	yes	complemented
97	#11719250	C₂²	1	8	yes	complemented
98	#11719250	C₂²	1	8	yes	complemented
99	C₄×D₄×D₁₃	C₂²	1	8	yes	—
100	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
101	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
102	#11719246	C₂²	1	8	yes	complemented
103	#11719243	C₂²	1	8	yes	complemented
104	#11719236	C₂²	1	8	yes	complemented
105	#11719236	C₂²	1	8	yes	complemented
106	#11719234	C₂²	1	8	yes	complemented
107	#11719233	C₂²	1	8	yes	complemented
108	#11719232	C₂²	1	8	yes	complemented
109	#11719232	C₂²	1	8	yes	complemented
110	#11719226	C₂²	1	4	yes	complemented
111	D₁₃×#117	C₂²	1	8	yes	complemented
112	D₁₃×#117	C₂²	1	4	yes	complemented
113	D₁₃×#117	C₂²	1	8	yes	complemented
114	D₁₃×#117	C₂²	1	8	yes	complemented
115	#11719220	C₂²	1	4	yes	complemented
116	#11719218	C₂²	1	8	yes	complemented
117	C₂×#88148	C₂²	1	4	yes	complemented
118	C₂×#88146	C₂²	1	2	yes	complemented
119	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	C₂×C₄⋊C₄×D₁₃	C₂²	1	4	yes	complemented
121	#11719200	C₂²	1	8	yes	complemented
122	#11719200	C₂²	1	8	yes	complemented
123	#11719198	C₂²	1	1	yes	characteristic
124	C₂×#88140	C₂²	1	2	yes	complemented
125	C₂×#88137	C₂²	1	4	yes	complemented
126	#11719191	C₂²	1	4	yes	complemented
127	#11719191	C₂²	1	2	yes	complemented
128	#11719191	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
134	#11719188	C₂²	1	2	yes	complemented
135	#11719188	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
138	#11719184	C₂²	1	4	yes	complemented
139	C₂×#88126	C₂²	1	2	yes	complemented
140	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
141	C₂⁴×D₁₃	C₂³	1	2	yes	—
142	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
147	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
148	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
149	C₂×D₄×D₁₃	—	2	16	no	—
150	C₂×D₄×D₁₃	C₂³	1	4	yes	—
151	C₂×D₄×D₁₃	C₂³	1	4	yes	—
152	C₂×D₄×D₁₃	C₂³	1	4	yes	—
153	C₂×D₄×D₁₃	C₂³	1	4	yes	—
154	C₂×D₄×D₁₃	C₂³	1	4	yes	—
155	C₂²×D₅₂	C₂³	1	2	yes	—
156	C₂²×C₄×D₁₃	—	2	8	no	—
157	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
158	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
159	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
160	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
161	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
162	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
165	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
167	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
168	C₁₃×#126	C₂³	1	8	yes	complemented
169	C₁₃×#126	C₂³	1	8	yes	complemented
170	C₁₃×#125	C₂³	1	4	yes	complemented
171	C₁₃×#125	C₂³	1	8	yes	complemented
172	C₁₃×#124	C₂³	1	4	yes	complemented
173	C₁₃×#123	C₂³	1	8	yes	—
174	C₁₃×#123	C₂³	1	4	yes	—
175	C₁₃×#123	C₂³	1	4	yes	complemented
176	C₁₃×#123	C₂³	1	4	yes	complemented
177	C₁₃×#123	C₂³	1	8	yes	complemented
178	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
179	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
180	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
181	C₁₃×#121	C₂³	1	4	yes	—
182	C₁₃×#120	C₂³	1	4	yes	—
183	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
184	C₄×D₄×C₁₃	C₂³	1	8	yes	—
185	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
186	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
187	C₁₃×#117	C₂³	1	8	yes	complemented
188	C₁₃×#117	C₂³	1	4	yes	complemented
189	C₁₃×#117	C₂³	1	8	yes	complemented
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
197	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
198	#88207	C₂³	1	4	yes	—
199	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
202	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
203	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
204	#88201	C₂³	1	4	yes	complemented
205	#88200	C₂³	1	4	yes	complemented
206	#88200	C₂³	1	8	yes	complemented
207	#88200	C₂³	1	8	yes	complemented
208	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
209	#88193	C₂³	1	8	yes	—
210	#88192	C₂³	1	4	yes	—
211	#88191	C₂³	1	4	yes	—
212	#88191	C₂³	1	8	yes	—
213	#88190	C₂³	1	4	yes	complemented
214	#88189	C₂³	1	8	yes	—
215	#88189	C₂³	1	4	yes	—
216	#88189	C₂³	1	4	yes	complemented
217	#88189	C₂³	1	4	yes	complemented
218	#88189	C₂³	1	8	yes	complemented
219	D₄×Dic₁₃	C₂³	1	8	yes	—
220	D₄×Dic₁₃	C₂³	1	8	yes	complemented
221	D₄×Dic₁₃	C₂³	1	4	yes	complemented
222	#88184	C₂³	1	4	yes	—
223	#88183	C₂³	1	8	yes	—
224	#88183	C₂³	1	4	yes	—
225	#88183	C₂³	1	4	yes	complemented
226	#88183	C₂³	1	8	yes	complemented
227	#88183	C₂³	1	4	yes	complemented
228	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
229	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
230	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
231	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
232	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	4	yes	—
236	C₂×#6103	C₂³	1	4	yes	complemented
237	C₂×#6103	C₂³	1	4	yes	complemented
238	C₂×#6103	C₂³	1	8	yes	complemented
239	#88180	C₂³	1	8	yes	complemented
240	#88180	C₂³	1	8	yes	complemented
241	#88180	C₂³	1	4	yes	complemented
242	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	complemented
243	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
244	#88178	C₂³	1	4	yes	complemented
245	#88178	C₂³	1	8	yes	complemented
246	#88178	C₂³	1	8	yes	complemented
247	C₂×#6101	C₂³	1	2	yes	complemented
248	C₂×#6101	C₂³	1	2	yes	complemented
249	C₂×#6101	C₂³	1	4	yes	complemented
250	C₂×#6101	C₂³	1	4	yes	complemented
251	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
252	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
253	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
254	#88152	C₂³	1	8	yes	complemented
255	#88152	C₂³	1	8	yes	complemented
256	#88152	C₂³	1	8	yes	complemented
257	#88152	C₂³	1	8	yes	complemented
258	#88152	C₂³	1	8	yes	complemented
259	#88152	C₂³	1	8	yes	complemented
260	#88151	C₂³	1	8	yes	complemented
261	#88151	C₂³	1	8	yes	complemented
262	#88151	C₂³	1	4	yes	complemented
263	#88150	C₂³	1	8	yes	complemented
264	#88150	C₂³	1	8	yes	complemented
265	#88150	C₂³	1	8	yes	complemented
266	#88150	C₂³	1	8	yes	complemented
267	#88150	C₂³	1	8	yes	complemented
268	#88149	C₂³	1	4	yes	—
269	#88148	C₂³	1	8	yes	—
270	#88148	C₂³	1	8	yes	—
271	#88148	C₂³	1	8	yes	—
272	#88148	C₂³	1	8	yes	complemented
273	#88148	C₂³	1	8	yes	complemented
274	#88148	C₂³	1	8	yes	complemented
275	#88148	C₂³	1	8	yes	complemented
276	#88147	C₂³	1	8	yes	—
277	#88147	C₂³	1	8	yes	complemented
278	#88147	C₂³	1	4	yes	complemented
279	#88146	C₂³	1	8	yes	complemented
280	#88146	C₂³	1	8	yes	complemented
281	#88146	C₂³	1	8	yes	complemented
282	#88146	C₂³	1	8	yes	complemented
283	#88146	C₂³	1	8	yes	complemented
284	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
285	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
286	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
287	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
288	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
289	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
290	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
291	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
292	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
293	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
294	#88144	C₂³	1	8	yes	complemented
295	#88144	C₂³	1	8	yes	complemented
296	#88144	C₂³	1	4	yes	complemented
297	#88144	C₂³	1	4	yes	complemented
298	#88143	C₂³	1	8	yes	complemented
299	#88143	C₂³	1	8	yes	complemented
300	#88143	C₂³	1	8	yes	complemented
301	#88143	C₂³	1	8	yes	complemented
302	#88143	C₂³	1	8	yes	complemented
303	#88143	C₂³	1	8	yes	complemented
304	#88141	C₂³	1	8	yes	complemented
305	#88141	C₂³	1	4	yes	complemented
306	#88140	C₂³	1	8	yes	—
307	#88140	C₂³	1	4	yes	—
308	#88140	C₂³	1	4	yes	complemented
309	#88140	C₂³	1	4	yes	complemented
310	#88140	C₂³	1	8	yes	complemented
311	#88139	C₂³	1	8	yes	complemented
312	#88139	C₂³	1	8	yes	complemented
313	#88138	C₂³	1	8	yes	—
314	#88137	C₂³	1	8	yes	—
315	#88137	C₂³	1	8	yes	—
316	#88137	C₂³	1	8	yes	—
317	#88137	C₂³	1	8	yes	complemented
318	#88137	C₂³	1	8	yes	complemented
319	#88137	C₂³	1	8	yes	complemented
320	#88137	C₂³	1	8	yes	complemented
321	#88136	C₂³	1	4	yes	—
322	#88136	C₂³	1	8	yes	—
323	#88135	C₂³	1	8	yes	—
324	#88135	C₂³	1	8	yes	—
325	#88135	C₂³	1	8	yes	complemented
326	#88135	C₂³	1	8	yes	complemented
327	#88135	C₂³	1	8	yes	complemented
328	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
330	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
331	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
332	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
333	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
334	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
335	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
336	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
337	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
338	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
339	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
340	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
341	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
342	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
343	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
344	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
345	#88133	C₂³	1	8	yes	complemented
346	#88133	C₂³	1	8	yes	complemented
347	#88133	C₂³	1	8	yes	complemented
348	#88133	C₂³	1	8	yes	complemented
349	#88133	C₂³	1	8	yes	complemented
350	#88133	C₂³	1	8	yes	complemented
351	#88132	C₂³	1	8	yes	complemented
352	#88132	C₂³	1	8	yes	complemented
353	#88132	C₂³	1	8	yes	complemented
354	#88132	C₂³	1	8	yes	complemented
355	#88132	C₂³	1	8	yes	complemented
356	#88131	C₂³	1	8	yes	complemented
357	#88131	C₂³	1	8	yes	complemented
358	#88131	C₂³	1	4	yes	complemented
359	#88131	C₂³	1	4	yes	complemented
360	#88131	C₂³	1	8	yes	complemented
361	#88131	C₂³	1	8	yes	complemented
362	#88130	C₂³	1	8	yes	complemented
363	#88130	C₂³	1	8	yes	complemented
364	#88129	C₂³	1	4	yes	complemented
365	C₄×D₅₂	C₂³	1	8	yes	—
366	C₄×D₅₂	C₂³	1	4	yes	complemented
367	C₄×D₅₂	C₂³	1	8	yes	complemented
368	#88126	C₂³	1	8	yes	complemented
369	#88126	C₂³	1	8	yes	complemented
370	#88126	C₂³	1	8	yes	complemented
371	#88126	C₂³	1	8	yes	complemented
372	#88126	C₂³	1	8	yes	complemented
373	C₄²×D₁₃	C₂³	1	4	yes	—
374	C₄²×D₁₃	C₂³	1	4	yes	—
375	C₄²×D₁₃	C₂³	1	8	yes	—
376	C₄²×D₁₃	C₂³	1	4	yes	complemented
377	C₄²×D₁₃	C₂³	1	4	yes	complemented
378	#88124	C₂³	1	4	yes	complemented
379	#88124	C₂³	1	8	yes	complemented
380	C₄×Dic₂₆	C₂³	1	4	yes	complemented
381	C₄×Dic₂₆	C₂³	1	8	yes	complemented
382	C₂×#3491	—	13	1	no	maximal, Sylow
383	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
384	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂³×D₁₃	—	2	8	no	—
386	C₂³×D₁₃	—	4	4	no	—
387	C₂³×D₁₃	—	4	8	no	—
388	C₂³×D₁₃	#41	1	8	yes	—
389	C₂³×D₁₃	C₂⁴	1	4	yes	—
390	C₂³×D₁₃	C₂⁴	1	2	yes	—
391	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
392	C₂³×D₁₃	C₂⁴	1	4	yes	—
393	C₂³×D₁₃	C₂⁴	1	2	yes	—
394	C₂³×D₁₃	C₂⁴	1	2	yes	—
395	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
397	C₂×D₄×C₁₃	—	2	8	no	—
398	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
400	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₁₃	—	2	4	no	—
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
410	C₂×C₂²⋊D₁₃	—	2	8	no	—
411	C₂×C₂²⋊D₁₃	—	2	8	no	—
412	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
413	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
417	C₂²×Dic₁₃	—	2	4	no	—
418	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
419	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
423	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
424	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
425	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
426	Q₈×D₁₃	—	4	8	no	—
427	D₄×D₁₃	—	2	16	no	—
428	D₄×D₁₃	—	2	16	no	—
429	D₄×D₁₃	—	2	16	no	—
430	D₄×D₁₃	—	2	16	no	—
431	D₄×D₁₃	—	4	8	no	—
432	C₂×D₅₂	—	2	8	no	—
433	C₂×D₅₂	C₂⁴	1	4	yes	—
434	C₂×D₅₂	C₂⁴	1	4	yes	—
435	C₂×D₅₂	C₂⁴	1	4	yes	—
436	C₂×C₄×D₁₃	—	2	16	no	—
437	C₂×C₄×D₁₃	—	2	4	no	—
438	C₂×C₄×D₁₃	—	2	4	no	—
439	C₂×C₄×D₁₃	—	2	16	no	—
440	C₂×C₄×D₁₃	—	2	4	no	—
441	C₂×C₄×D₁₃	—	2	4	no	—
442	C₂×C₄×D₁₃	—	2	8	no	—
443	C₂×C₄×D₁₃	—	4	4	no	—
444	C₂×C₄×D₁₃	—	4	16	no	—
445	C₂×C₄×D₁₃	—	4	8	no	—
446	C₂×C₄×D₁₃	—	4	4	no	—
447	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	4	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	2	yes	—
456	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
457	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
458	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
459	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
460	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
461	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
462	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
463	C₂×Dic₂₆	C₂⁴	1	4	yes	—
464	C₂×Dic₂₆	C₂⁴	1	8	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
470	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
471	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
478	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₄²×C₁₃	C₂⁴	1	8	yes	—
481	C₄²×C₁₃	C₂⁴	1	4	yes	—
482	C₄²×C₁₃	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
484	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
485	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
486	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
487	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	8	yes	—
493	#6103	C₂⁴	1	8	yes	—
494	#6103	C₂⁴	1	8	yes	—
495	#6103	C₂⁴	1	8	yes	—
496	#6103	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	8	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
504	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
505	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
506	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
507	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
508	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
509	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
510	#6101	C₂⁴	1	8	yes	—
511	#6101	C₂⁴	1	8	yes	—
512	#6101	C₂⁴	1	8	yes	—
513	#6101	C₂⁴	1	8	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	#6101	C₂⁴	1	8	yes	—
517	#6101	C₂⁴	1	8	yes	—
518	#6101	C₂⁴	1	8	yes	—
519	#6101	C₂⁴	1	8	yes	—
520	#6101	C₂⁴	1	8	yes	—
521	#6101	C₂⁴	1	8	yes	—
522	C₄×Dic₁₃	C₂⁴	1	4	yes	—
523	C₄×Dic₁₃	C₂⁴	1	8	yes	—
524	C₄×Dic₁₃	C₂⁴	1	4	yes	—
525	C₄×Dic₁₃	C₂⁴	1	4	yes	—
526	C₄×Dic₁₃	C₂⁴	1	4	yes	—
527	C₄×Dic₁₃	C₂⁴	1	4	yes	—
528	C₄×Dic₁₃	C₂⁴	1	4	yes	—
529	C₄×Dic₁₃	C₂⁴	1	8	yes	—
530	C₄×Dic₁₃	C₂⁴	1	8	yes	—
531	#3491	—	13	8	no	—
532	#3491	—	13	8	no	—
533	#3491	—	13	1	no	—
534	#3491	—	13	4	no	—
535	#3491	—	13	1	no	—
536	#3491	—	13	4	no	—
537	#3491	—	13	2	no	—
538	#3491	—	13	2	no	—
539	#3491	—	13	1	no	—
540	#3491	D₁₃	1	1	yes	characteristic, direct product factor
541	C₂×#552	—	13	8	no	—
542	C₂×#551	—	13	8	no	—
543	C₂×#543	—	13	1	no	—
544	C₂×#539	—	13	4	no	—
545	C₂×#534	—	13	1	no	—
546	C₂×#529	—	13	4	no	—
547	C₂²×#123	—	13	2	no	—
548	C₂×#518	—	13	2	no	—
549	C₂²×#117	—	13	1	no	—
550	C₂³×C₁₃	—	2	4	no	—
551	C₂³×C₁₃	—	4	2	no	—
552	C₂³×C₁₃	—	4	4	no	—
553	C₂³×C₁₃	C₂×#41	1	4	yes	—
554	C₂³×C₁₃	C₂⁵	1	4	yes	—
555	C₂³×C₁₃	C₂⁵	1	2	yes	—
556	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
557	C₂²×D₁₃	—	2	4	no	—
558	C₂²×D₁₃	—	2	8	no	—
559	C₂²×D₁₃	—	2	4	no	—
560	C₂²×D₁₃	—	2	8	no	—
561	C₂²×D₁₃	—	2	16	no	—
562	C₂²×D₁₃	—	2	8	no	—
563	C₂²×D₁₃	—	4	16	no	—
564	C₂²×D₁₃	—	4	4	no	—
565	C₂²×D₁₃	—	4	2	no	—
566	C₂²×D₁₃	—	4	8	no	—
567	C₂²×D₁₃	—	4	4	no	—
568	C₂²×D₁₃	—	8	16	no	—
569	C₂²×D₁₃	C₂×#41	1	8	yes	—
570	C₂²×D₁₃	C₂×#41	1	4	yes	—
571	C₂²×D₁₃	C₂×#41	1	8	yes	—
572	C₂²×D₁₃	C₂×#41	1	4	yes	—
573	C₂²×D₁₃	C₂⁵	1	4	yes	—
574	C₂²×D₁₃	C₂⁵	1	2	yes	—
575	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
576	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
577	Q₈×C₁₃	—	4	4	no	—
578	D₄×C₁₃	—	2	8	no	—
579	D₄×C₁₃	—	2	8	no	—
580	D₄×C₁₃	—	4	4	no	—
581	C₂×C₄×C₁₃	—	2	8	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	4	no	—
585	C₂×C₄×C₁₃	—	4	4	no	—
586	C₂×C₄×C₁₃	—	4	8	no	—
587	C₂×C₄×C₁₃	—	4	2	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
590	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
591	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
592	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
594	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
595	C₂²⋊D₁₃	—	2	8	no	—
596	C₂²⋊D₁₃	—	2	8	no	—
597	C₂²⋊D₁₃	—	2	8	no	—
598	C₂²⋊D₁₃	—	2	8	no	—
599	C₂²⋊D₁₃	—	4	8	no	—
600	C₂×Dic₁₃	—	2	8	no	—
601	C₂×Dic₁₃	—	2	2	no	—
602	C₂×Dic₁₃	—	2	2	no	—
603	C₂×Dic₁₃	—	2	4	no	—
604	C₂×Dic₁₃	—	4	4	no	—
605	C₂×Dic₁₃	—	4	8	no	—
606	C₂×Dic₁₃	—	4	2	no	—
607	C₂×Dic₁₃	—	4	2	no	—
608	C₂×Dic₁₃	C₂⁵	1	2	yes	—
609	C₂×Dic₁₃	C₂⁵	1	4	yes	—
610	C₂×Dic₁₃	C₂⁵	1	4	yes	—
611	C₂×Dic₁₃	C₂⁵	1	4	yes	—
612	C₂×Dic₁₃	C₂⁵	1	8	yes	—
613	C₂×Dic₁₃	C₂⁵	1	2	yes	—
614	D₅₂	—	2	8	no	—
615	D₅₂	—	2	8	no	—
616	D₅₂	—	4	4	no	—
617	C₄×D₁₃	—	2	8	no	—
618	C₄×D₁₃	—	2	8	no	—
619	C₄×D₁₃	—	2	4	no	—
620	C₄×D₁₃	—	2	4	no	—
621	C₄×D₁₃	—	2	4	no	—
622	C₄×D₁₃	—	2	4	no	—
623	C₄×D₁₃	—	2	8	no	—
624	C₄×D₁₃	—	2	8	no	—
625	C₄×D₁₃	—	2	8	no	—
626	C₄×D₁₃	—	2	16	no	—
627	C₄×D₁₃	—	2	8	no	—
628	C₄×D₁₃	—	4	8	no	—
629	C₄×D₁₃	—	4	8	no	—
630	C₄×D₁₃	—	4	4	no	—
631	C₄×D₁₃	—	4	8	no	—
632	C₄×D₁₃	—	4	4	no	—
633	Dic₂₆	—	4	4	no	—
634	Dic₂₆	—	4	8	no	—
635	C₂³×D₄	—	13	2	no	—
636	C₂⁴×C₄	—	13	1	no	—
637	#552	—	13	8	no	—
638	#552	—	13	8	no	—
639	#552	—	13	8	no	—
640	#552	—	13	8	no	—
641	#552	—	13	8	no	—
642	#552	—	13	8	no	—
643	#552	—	13	8	no	—
644	#552	—	13	8	no	—
645	#552	—	13	8	no	—
646	#552	—	13	8	no	—
647	#552	—	13	8	no	—
648	#552	—	13	8	no	—
649	#552	—	13	8	no	—
650	#552	—	13	8	no	—
651	#552	—	13	8	no	—
652	#552	C₂×D₁₃	1	8	yes	complemented
653	#551	—	13	8	no	—
654	#551	—	13	8	no	—
655	#551	—	13	8	no	—
656	#551	—	13	8	no	—
657	#551	—	13	8	no	—
658	#551	—	13	8	no	—
659	#551	—	13	8	no	—
660	#551	—	13	8	no	—
661	#551	—	13	8	no	—
662	#551	—	13	8	no	—
663	#551	—	13	8	no	—
664	#551	—	13	8	no	—
665	#551	—	13	8	no	—
666	#551	—	13	8	no	—
667	#551	—	13	8	no	—
668	#551	C₂×D₁₃	1	8	yes	complemented
669	#543	—	13	4	no	—
670	#543	—	13	8	no	—
671	#543	—	13	2	no	—
672	#543	—	13	1	no	—
673	#543	C₂×D₁₃	1	1	yes	characteristic, complemented
674	#539	—	13	8	no	—
675	#539	—	13	8	no	—
676	#539	—	13	8	no	—
677	#539	—	13	8	no	—
678	#539	—	13	8	no	—
679	#539	—	13	4	no	—
680	#539	—	13	4	no	—
681	#539	—	13	8	no	—
682	#539	—	13	4	no	—
683	#539	C₂×D₁₃	1	4	yes	complemented
684	#534	—	13	2	no	—
685	#534	—	13	4	no	—
686	#534	—	13	4	no	—
687	#534	—	13	4	no	—
688	#534	—	13	1	no	—
689	#534	C₂×D₁₃	1	1	yes	characteristic
690	#529	—	13	8	no	—
691	#529	—	13	4	no	—
692	#529	—	13	4	no	—
693	#529	—	13	8	no	—
694	#529	—	13	4	no	—
695	#529	—	13	4	no	—
696	#529	—	13	4	no	—
697	#529	—	13	8	no	—
698	#529	—	13	4	no	—
699	#529	—	13	8	no	—
700	#529	—	13	4	no	—
701	#529	C₂×D₁₃	1	4	yes	complemented
702	C₂×#126	—	13	8	no	—
703	C₂×#126	—	13	8	no	—
704	C₂×#125	—	13	4	no	—
705	C₂×#125	—	13	8	no	—
706	C₂×#124	—	13	4	no	—
707	C₂×#123	—	13	2	no	—
708	C₂×#123	—	13	2	no	—
709	C₂×#123	—	13	8	no	—
710	C₂×#123	—	13	8	no	—
711	C₂×#123	—	13	4	no	—
712	C₂×#123	—	13	4	no	—
713	C₂×#123	—	13	4	no	—
714	C₂×#123	—	13	4	no	—
715	C₂×#123	—	13	4	no	—
716	C₂×#123	—	13	8	no	—
717	C₂×#123	—	13	4	no	—
718	C₂×#123	—	13	2	no	—
719	C₂×#123	—	13	4	no	—
720	C₂×#123	C₂×D₁₃	1	2	yes	complemented
721	C₂×C₂²⋊Q₈	—	13	4	no	—
722	C₂×C₂²⋊Q₈	—	13	8	no	—
723	C₂×C₂²⋊Q₈	—	13	8	no	—
724	C₂×#121	—	13	4	no	—
725	C₂×#120	—	13	4	no	—
726	#518	—	13	2	no	—
727	#518	—	13	8	no	—
728	#518	—	13	8	no	—
729	#518	—	13	4	no	—
730	#518	—	13	2	no	—
731	#518	—	13	2	no	—
732	#518	—	13	4	no	—
733	#518	C₂×D₁₃	1	2	yes	complemented
734	C₂×C₄×Q₈	—	13	4	no	—
735	C₂×C₄×D₄	—	13	8	no	—
736	C₂×C₄×D₄	—	13	8	no	—
737	C₂×C₄×D₄	—	13	4	no	—
738	C₂×#117	—	13	1	no	—
739	C₂×#117	—	13	8	no	—
740	C₂×#117	—	13	8	no	—
741	C₂×#117	—	13	4	no	—
742	C₂×#117	—	13	8	no	—
743	C₂×#117	—	13	2	no	—
744	C₂×#117	—	13	1	no	—
745	C₂×#117	—	13	1	no	—
746	C₂×#117	—	13	2	no	—
747	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
748	C₂²×C₄⋊C₄	—	13	2	no	—
749	C₂²×C₄⋊C₄	—	13	4	no	—
750	C₂²×C₂²⋊C₄	—	13	1	no	—
751	C₂²×C₂²⋊C₄	—	13	1	no	—
752	C₂²×C₂²⋊C₄	—	13	2	no	—
753	C₂²×C₂²⋊C₄	—	13	4	no	—
754	C₂²×C₂²⋊C₄	—	13	4	no	—
755	C₂²×C₄²	—	13	2	no	—
756	C₂²×C₁₃	—	2	2	no	—
757	C₂²×C₁₃	—	2	4	no	—
758	C₂²×C₁₃	—	2	4	no	—
759	C₂²×C₁₃	—	2	8	no	—
760	C₂²×C₁₃	—	4	4	no	—
761	C₂²×C₁₃	—	8	4	no	—
762	C₂²×C₁₃	C₂²×#41	1	4	yes	—
763	C₂²×C₁₃	C₂²×#41	1	2	yes	—
764	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
765	C₂×D₁₃	—	2	2	no	—
766	C₂×D₁₃	—	2	4	no	—
767	C₂×D₁₃	—	2	16	no	—
768	C₂×D₁₃	—	2	8	no	—
769	C₂×D₁₃	—	2	4	no	—
770	C₂×D₁₃	—	2	8	no	—
771	C₂×D₁₃	—	4	4	no	—
772	C₂×D₁₃	—	4	8	no	—
773	C₂×D₁₃	—	4	16	no	—
774	C₂×D₁₃	—	8	8	no	—
775	C₂×D₁₃	—	8	4	no	—
776	C₂×D₁₃	C₂²×#41	1	4	yes	—
777	C₂×D₁₃	C₂²×#41	1	2	yes	—
778	C₂×D₁₃	C₂²×#41	1	2	yes	—
779	C₂×D₁₃	#585	1	4	yes	—
780	C₄×C₁₃	—	2	2	no	—
781	C₄×C₁₃	—	2	2	no	—
782	C₄×C₁₃	—	2	4	no	—
783	C₄×C₁₃	—	2	8	no	—
784	C₄×C₁₃	—	2	4	no	—
785	C₄×C₁₃	—	2	4	no	—
786	Dic₁₃	—	2	2	no	—
787	Dic₁₃	—	2	2	no	—
788	Dic₁₃	—	2	4	no	—
789	Dic₁₃	—	2	8	no	—
790	Dic₁₃	—	2	4	no	—
791	Dic₁₃	—	2	4	no	—
792	C₂⁵	—	13	1	no	—
793	C₂⁵	—	13	2	no	—
794	C₂²×Q₈	—	13	4	no	—
795	C₂²×D₄	—	13	2	no	—
796	C₂²×D₄	—	13	2	no	—
797	C₂²×D₄	—	13	4	no	—
798	C₂²×D₄	—	13	4	no	—
799	C₂²×D₄	—	13	4	no	—
800	C₂²×D₄	—	13	4	no	—
801	C₂²×D₄	—	13	4	no	—
802	C₂²×D₄	—	13	2	no	—
803	C₂²×D₄	—	26	16	no	—
804	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
805	C₂³×C₄	—	13	1	no	—
806	C₂³×C₄	—	13	4	no	—
807	C₂³×C₄	—	13	2	no	—
808	C₂³×C₄	—	13	1	no	—
809	C₂³×C₄	—	13	1	no	—
810	C₂³×C₄	—	13	4	no	—
811	C₂³×C₄	—	13	1	no	—
812	C₂³×C₄	—	13	1	no	—
813	C₂³×C₄	—	13	4	no	—
814	C₂³×C₄	—	13	2	no	—
815	C₂³×C₄	—	13	2	no	—
816	C₂³×C₄	—	13	8	no	—
817	C₂³×C₄	—	26	8	no	—
818	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
819	#126	—	13	8	no	—
820	#126	—	13	8	no	—
821	#126	—	13	8	no	—
822	#126	—	13	8	no	—
823	#126	—	13	8	no	—
824	#126	—	13	8	no	—
825	#126	—	13	8	no	—
826	#126	—	13	8	no	—
827	#126	—	13	8	no	—
828	#126	—	13	8	no	—
829	#126	—	13	8	no	—
830	#126	—	13	8	no	—
831	#126	—	13	8	no	—
832	#126	—	13	8	no	—
833	#126	C₂²×D₁₃	1	8	yes	complemented
834	#126	C₂²×D₁₃	1	8	yes	complemented
835	#125	—	13	8	no	—
836	#125	—	13	8	no	—
837	#125	—	13	4	no	—
838	#125	—	13	4	no	—
839	#125	—	13	8	no	—
840	#125	—	13	8	no	—
841	#125	—	13	8	no	—
842	#125	—	13	8	no	—
843	#125	—	13	8	no	—
844	#125	—	13	8	no	—
845	#125	—	13	4	no	—
846	#125	—	13	8	no	—
847	#125	C₂²×D₁₃	1	4	yes	complemented
848	#125	C₂²×D₁₃	1	8	yes	complemented
849	#124	—	13	4	no	—
850	#124	—	13	4	no	—
851	#124	—	13	8	no	—
852	#124	—	13	8	no	—
853	#124	—	13	4	no	—
854	#124	C₂²×D₁₃	1	4	yes	complemented
855	#123	—	13	4	no	—
856	#123	—	13	4	no	—
857	#123	—	13	8	no	—
858	#123	—	13	4	no	—
859	#123	—	13	8	no	—
860	#123	—	13	4	no	—
861	#123	—	13	4	no	—
862	#123	—	13	8	no	—
863	#123	—	13	4	no	—
864	#123	—	13	8	no	—
865	#123	—	13	8	no	—
866	#123	—	13	8	no	—
867	#123	—	13	8	no	—
868	#123	—	13	8	no	—
869	#123	—	13	8	no	—
870	#123	—	13	8	no	—
871	#123	—	13	8	no	—
872	#123	—	13	8	no	—
873	#123	—	13	4	no	—
874	#123	—	13	8	no	—
875	#123	—	13	4	no	—
876	#123	—	13	8	no	—
877	#123	—	13	8	no	—
878	#123	—	13	8	no	—
879	#123	—	13	8	no	—
880	#123	—	13	4	no	—
881	#123	—	13	8	no	—
882	#123	—	13	8	no	—
883	#123	—	13	8	no	—
884	#123	C₂²×D₁₃	1	8	yes	—
885	#123	C₂²×D₁₃	1	4	yes	—
886	#123	C₂²×D₁₃	1	4	yes	complemented
887	#123	C₂²×D₁₃	1	4	yes	complemented
888	#123	C₂²×D₁₃	1	8	yes	complemented
889	C₂²⋊Q₈	—	13	4	no	—
890	C₂²⋊Q₈	—	13	8	no	—
891	C₂²⋊Q₈	—	13	8	no	—
892	C₂²⋊Q₈	—	13	4	no	—
893	C₂²⋊Q₈	—	13	8	no	—
894	C₂²⋊Q₈	—	13	8	no	—
895	C₂²⋊Q₈	—	13	8	no	—
896	C₂²⋊Q₈	—	13	4	no	—
897	C₂²⋊Q₈	—	13	8	no	—
898	C₂²⋊Q₈	—	13	8	no	—
899	C₂²⋊Q₈	—	13	8	no	—
900	C₂²⋊Q₈	—	13	8	no	—
901	C₂²⋊Q₈	—	13	8	no	—
902	C₂²⋊Q₈	—	13	8	no	—
903	C₂²⋊Q₈	—	13	8	no	—
904	C₂²⋊Q₈	—	13	8	no	—
905	C₂²⋊Q₈	—	13	8	no	—
906	C₂²⋊Q₈	—	13	8	no	—
907	C₂²⋊Q₈	—	13	8	no	—
908	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
909	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
910	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
911	#121	—	13	4	no	—
912	#121	—	13	8	no	—
913	#121	—	13	4	no	—
914	#121	—	13	4	no	—
915	#121	—	13	8	no	—
916	#121	C₂²×D₁₃	1	4	yes	—
917	#120	—	13	4	no	—
918	#120	—	13	4	no	—
919	#120	—	13	8	no	—
920	#120	—	13	8	no	—
921	#120	—	13	4	no	—
922	#120	C₂²×D₁₃	1	4	yes	—
923	C₄×Q₈	—	13	4	no	—
924	C₄×Q₈	—	13	4	no	—
925	C₄×Q₈	—	13	8	no	—
926	C₄×Q₈	—	13	8	no	—
927	C₄×Q₈	—	13	4	no	—
928	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
929	C₄×D₄	—	13	8	no	—
930	C₄×D₄	—	13	8	no	—
931	C₄×D₄	—	13	4	no	—
932	C₄×D₄	—	13	8	no	—
933	C₄×D₄	—	13	8	no	—
934	C₄×D₄	—	13	8	no	—
935	C₄×D₄	—	13	8	no	—
936	C₄×D₄	—	13	8	no	—
937	C₄×D₄	—	13	8	no	—
938	C₄×D₄	—	13	8	no	—
939	C₄×D₄	—	13	4	no	—
940	C₄×D₄	—	13	8	no	—
941	C₄×D₄	—	13	8	no	—
942	C₄×D₄	—	13	8	no	—
943	C₄×D₄	—	13	8	no	—
944	C₄×D₄	—	13	8	no	—
945	C₄×D₄	—	13	8	no	—
946	C₄×D₄	—	13	8	no	—
947	C₄×D₄	—	13	4	no	—
948	C₄×D₄	C₂²×D₁₃	1	8	yes	—
949	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
950	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
951	#117	—	13	8	no	—
952	#117	—	13	4	no	—
953	#117	—	13	8	no	—
954	#117	—	13	8	no	—
955	#117	—	13	8	no	—
956	#117	—	13	8	no	—
957	#117	—	13	8	no	—
958	#117	—	13	8	no	—
959	#117	—	13	8	no	—
960	#117	—	13	8	no	—
961	#117	—	13	4	no	—
962	#117	—	13	4	no	—
963	#117	—	13	8	no	—
964	#117	—	13	8	no	—
965	#117	—	13	8	no	—
966	#117	—	13	8	no	—
967	#117	—	13	8	no	—
968	#117	—	13	8	no	—
969	#117	—	13	8	no	—
970	#117	C₂²×D₁₃	1	8	yes	complemented
971	#117	C₂²×D₁₃	1	4	yes	complemented
972	#117	C₂²×D₁₃	1	8	yes	complemented
973	C₂×C₄⋊C₄	—	13	2	no	—
974	C₂×C₄⋊C₄	—	13	2	no	—
975	C₂×C₄⋊C₄	—	13	2	no	—
976	C₂×C₄⋊C₄	—	13	4	no	—
977	C₂×C₄⋊C₄	—	13	4	no	—
978	C₂×C₄⋊C₄	—	13	4	no	—
979	C₂×C₄⋊C₄	—	13	8	no	—
980	C₂×C₄⋊C₄	—	13	8	no	—
981	C₂×C₄⋊C₄	—	13	8	no	—
982	C₂×C₄⋊C₄	—	13	8	no	—
983	C₂×C₄⋊C₄	—	13	8	no	—
984	C₂×C₄⋊C₄	—	13	8	no	—
985	C₂×C₄⋊C₄	—	13	8	no	—
986	C₂×C₄⋊C₄	—	13	8	no	—
987	C₂×C₄⋊C₄	—	13	4	no	—
988	C₂×C₄⋊C₄	—	13	4	no	—
989	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
990	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	2	no	—
994	C₂×C₂²⋊C₄	—	13	4	no	—
995	C₂×C₂²⋊C₄	—	13	4	no	—
996	C₂×C₂²⋊C₄	—	13	2	no	—
997	C₂×C₂²⋊C₄	—	13	2	no	—
998	C₂×C₂²⋊C₄	—	13	4	no	—
999	C₂×C₂²⋊C₄	—	13	8	no	—
1000	C₂×C₂²⋊C₄	—	13	4	no	—
1001	C₂×C₂²⋊C₄	—	13	4	no	—
1002	C₂×C₂²⋊C₄	—	13	4	no	—
1003	C₂×C₂²⋊C₄	—	13	4	no	—
1004	C₂×C₂²⋊C₄	—	13	4	no	—
1005	C₂×C₂²⋊C₄	—	13	4	no	—
1006	C₂×C₂²⋊C₄	—	13	4	no	—
1007	C₂×C₂²⋊C₄	—	13	8	no	—
1008	C₂×C₂²⋊C₄	—	13	4	no	—
1009	C₂×C₂²⋊C₄	—	13	8	no	—
1010	C₂×C₂²⋊C₄	—	13	4	no	—
1011	C₂×C₂²⋊C₄	—	13	4	no	—
1012	C₂×C₂²⋊C₄	—	13	4	no	—
1013	C₂×C₂²⋊C₄	—	13	4	no	—
1014	C₂×C₂²⋊C₄	—	13	8	no	—
1015	C₂×C₂²⋊C₄	—	13	8	no	—
1016	C₂×C₂²⋊C₄	—	13	8	no	—
1017	C₂×C₂²⋊C₄	—	13	8	no	—
1018	C₂×C₂²⋊C₄	—	13	8	no	—
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1023	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1024	C₂×C₄²	—	13	2	no	—
1025	C₂×C₄²	—	13	2	no	—
1026	C₂×C₄²	—	13	2	no	—
1027	C₂×C₄²	—	13	4	no	—
1028	C₂×C₄²	—	13	8	no	—
1029	C₂×C₄²	—	13	4	no	—
1030	C₂×C₄²	—	13	4	no	—
1031	C₂×C₄²	—	13	4	no	—
1032	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
1033	C₂×C₁₃	—	2	4	no	—
1034	C₂×C₁₃	—	2	2	no	—
1035	C₂×C₁₃	—	4	4	no	—
1036	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1037	C₂×C₁₃	C₂×#585	1	2	yes	—
1038	D₁₃	—	2	4	no	—
1039	D₁₃	—	2	2	no	—
1040	D₁₃	—	4	4	no	—
1041	D₁₃	#3491	1	4	yes	direct product factor
1042	C₂⁴	—	13	2	no	—
1043	C₂⁴	—	13	1	no	—
1044	C₂⁴	—	13	8	no	—
1045	C₂⁴	—	13	1	no	—
1046	C₂⁴	—	13	2	no	—
1047	C₂⁴	—	13	4	no	—
1048	C₂⁴	—	13	4	no	—
1049	C₂⁴	—	13	2	no	—
1050	C₂⁴	—	26	8	no	—
1051	C₂⁴	—	52	4	no	—
1052	C₂⁴	—	52	8	no	—
1053	C₂⁴	C₂³×D₁₃	1	2	yes	—
1054	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1055	C₂×Q₈	—	13	8	no	—
1056	C₂×Q₈	—	13	4	no	—
1057	C₂×Q₈	—	52	8	no	—
1058	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1059	C₂×D₄	—	2	8	no	—
1060	C₂×D₄	—	13	4	no	—
1061	C₂×D₄	—	13	4	no	—
1062	C₂×D₄	—	13	4	no	—
1063	C₂×D₄	—	13	4	no	—
1064	C₂×D₄	—	13	8	no	—
1065	C₂×D₄	—	13	4	no	—
1066	C₂×D₄	—	13	4	no	—
1067	C₂×D₄	—	13	4	no	—
1068	C₂×D₄	—	26	8	no	—
1069	C₂×D₄	—	26	16	no	—
1070	C₂×D₄	—	26	16	no	—
1071	C₂×D₄	—	26	16	no	—
1072	C₂×D₄	—	26	16	no	—
1073	C₂×D₄	—	26	8	no	—
1074	C₂×D₄	—	26	8	no	—
1075	C₂×D₄	—	52	8	no	—
1076	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1077	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1078	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1079	C₂²×C₄	—	2	4	no	—
1080	C₂²×C₄	—	13	1	no	—
1081	C₂²×C₄	—	13	4	no	—
1082	C₂²×C₄	—	13	2	no	—
1083	C₂²×C₄	—	13	1	no	—
1084	C₂²×C₄	—	13	2	no	—
1085	C₂²×C₄	—	13	2	no	—
1086	C₂²×C₄	—	13	4	no	—
1087	C₂²×C₄	—	13	8	no	—
1088	C₂²×C₄	—	13	2	no	—
1089	C₂²×C₄	—	13	4	no	—
1090	C₂²×C₄	—	13	2	no	—
1091	C₂²×C₄	—	13	4	no	—
1092	C₂²×C₄	—	13	4	no	—
1093	C₂²×C₄	—	13	8	no	—
1094	C₂²×C₄	—	13	2	no	—
1095	C₂²×C₄	—	13	4	no	—
1096	C₂²×C₄	—	13	4	no	—
1097	C₂²×C₄	—	13	4	no	—
1098	C₂²×C₄	—	13	2	no	—
1099	C₂²×C₄	—	13	4	no	—
1100	C₂²×C₄	—	13	4	no	—
1101	C₂²×C₄	—	13	8	no	—
1102	C₂²×C₄	—	13	8	no	—
1103	C₂²×C₄	—	13	8	no	—
1104	C₂²×C₄	—	26	16	no	—
1105	C₂²×C₄	—	26	4	no	—
1106	C₂²×C₄	—	26	4	no	—
1107	C₂²×C₄	—	26	16	no	—
1108	C₂²×C₄	—	26	4	no	—
1109	C₂²×C₄	—	26	4	no	—
1110	C₂²×C₄	—	26	8	no	—
1111	C₂²×C₄	—	26	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	—	52	16	no	—
1114	C₂²×C₄	—	52	8	no	—
1115	C₂²×C₄	—	52	4	no	—
1116	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1118	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1121	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1122	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1123	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1124	C₄⋊C₄	—	13	8	no	—
1125	C₄⋊C₄	—	13	8	no	—
1126	C₄⋊C₄	—	13	8	no	—
1127	C₄⋊C₄	—	13	8	no	—
1128	C₄⋊C₄	—	13	8	no	—
1129	C₄⋊C₄	—	13	8	no	—
1130	C₄⋊C₄	—	13	8	no	—
1131	C₄⋊C₄	—	13	8	no	—
1132	C₄⋊C₄	—	13	8	no	—
1133	C₄⋊C₄	—	13	8	no	—
1134	C₄⋊C₄	—	13	8	no	—
1135	C₄⋊C₄	—	13	8	no	—
1136	C₄⋊C₄	—	13	8	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	4	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	4	no	—
1143	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1144	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1145	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1146	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1147	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1148	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1150	C₂²⋊C₄	—	13	4	no	—
1151	C₂²⋊C₄	—	13	4	no	—
1152	C₂²⋊C₄	—	13	4	no	—
1153	C₂²⋊C₄	—	13	8	no	—
1154	C₂²⋊C₄	—	13	4	no	—
1155	C₂²⋊C₄	—	13	8	no	—
1156	C₂²⋊C₄	—	13	8	no	—
1157	C₂²⋊C₄	—	13	8	no	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	8	no	—
1161	C₂²⋊C₄	—	13	8	no	—
1162	C₂²⋊C₄	—	13	8	no	—
1163	C₂²⋊C₄	—	13	8	no	—
1164	C₂²⋊C₄	—	13	8	no	—
1165	C₂²⋊C₄	—	13	8	no	—
1166	C₂²⋊C₄	—	13	8	no	—
1167	C₂²⋊C₄	—	13	8	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	8	no	—
1170	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1171	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1172	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1173	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1175	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1176	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1177	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1178	C₄²	—	13	4	no	—
1179	C₄²	—	13	4	no	—
1180	C₄²	—	13	4	no	—
1181	C₄²	—	13	4	no	—
1182	C₄²	—	13	4	no	—
1183	C₄²	—	13	4	no	—
1184	C₄²	—	13	8	no	—
1185	C₄²	—	13	8	no	—
1186	C₄²	—	13	8	no	—
1187	C₄²	C₂³×D₁₃	1	4	yes	—
1188	C₄²	C₂³×D₁₃	1	4	yes	—
1189	C₄²	C₂³×D₁₃	1	8	yes	—
1190	C₁₃	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
1191	C₂³	—	2	4	no	—
1192	C₂³	—	4	2	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	13	1	no	—
1195	C₂³	—	13	8	no	—
1196	C₂³	—	13	4	no	—
1197	C₂³	—	13	2	no	—
1198	C₂³	—	13	1	no	—
1199	C₂³	—	13	4	no	—
1200	C₂³	—	13	8	no	—
1201	C₂³	—	13	4	no	—
1202	C₂³	—	26	4	no	—
1203	C₂³	—	26	8	no	—
1204	C₂³	—	26	16	no	—
1205	C₂³	—	26	8	no	—
1206	C₂³	—	26	8	no	—
1207	C₂³	—	26	4	no	—
1208	C₂³	—	52	2	no	—
1209	C₂³	—	52	4	no	—
1210	C₂³	—	52	4	no	—
1211	C₂³	—	52	8	no	—
1212	C₂³	—	52	16	no	—
1213	C₂³	—	104	16	no	—
1214	C₂³	#41×D₁₃	1	4	yes	—
1215	C₂³	C₂⁴×D₁₃	1	4	yes	—
1216	C₂³	C₂⁴×D₁₃	1	2	yes	—
1217	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1218	Q₈	—	4	4	no	—
1219	Q₈	—	52	8	no	—
1220	Q₈	—	52	4	no	—
1221	D₄	—	2	8	no	—
1222	D₄	—	2	8	no	—
1223	D₄	—	4	4	no	—
1224	D₄	—	26	8	no	—
1225	D₄	—	26	8	no	—
1226	D₄	—	26	8	no	—
1227	D₄	—	26	8	no	—
1228	D₄	—	26	8	no	—
1229	D₄	—	26	8	no	—
1230	D₄	—	52	4	no	—
1231	D₄	—	52	8	no	—
1232	C₂×C₄	—	2	8	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	4	no	—
1236	C₂×C₄	—	4	2	no	—
1237	C₂×C₄	—	4	8	no	—
1238	C₂×C₄	—	4	4	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	13	2	no	—
1241	C₂×C₄	—	13	4	no	—
1242	C₂×C₄	—	13	4	no	—
1243	C₂×C₄	—	13	4	no	—
1244	C₂×C₄	—	13	8	no	—
1245	C₂×C₄	—	13	2	no	—
1246	C₂×C₄	—	26	4	no	—
1247	C₂×C₄	—	26	4	no	—
1248	C₂×C₄	—	26	8	no	—
1249	C₂×C₄	—	26	8	no	—
1250	C₂×C₄	—	26	4	no	—
1251	C₂×C₄	—	26	4	no	—
1252	C₂×C₄	—	26	8	no	—
1253	C₂×C₄	—	26	8	no	—
1254	C₂×C₄	—	26	8	no	—
1255	C₂×C₄	—	26	16	no	—
1256	C₂×C₄	—	26	8	no	—
1257	C₂×C₄	—	26	8	no	—
1258	C₂×C₄	—	26	2	no	—
1259	C₂×C₄	—	26	2	no	—
1260	C₂×C₄	—	26	4	no	—
1261	C₂×C₄	—	52	4	no	—
1262	C₂×C₄	—	52	8	no	—
1263	C₂×C₄	—	52	8	no	—
1264	C₂×C₄	—	52	8	no	—
1265	C₂×C₄	—	52	4	no	—
1266	C₂×C₄	—	52	2	no	—
1267	C₂×C₄	—	52	8	no	—
1268	C₂×C₄	—	52	4	no	—
1269	C₂×C₄	—	52	2	no	—
1270	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1271	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1272	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1273	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1274	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1275	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	4	no	—
1278	C₂²	—	2	4	no	—
1279	C₂²	—	2	8	no	—
1280	C₂²	—	4	4	no	—
1281	C₂²	—	8	4	no	—
1282	C₂²	—	13	2	no	—
1283	C₂²	—	13	4	no	—
1284	C₂²	—	13	4	no	—
1285	C₂²	—	13	2	no	—
1286	C₂²	—	26	8	no	—
1287	C₂²	—	26	16	no	—
1288	C₂²	—	26	2	no	—
1289	C₂²	—	26	4	no	—
1290	C₂²	—	26	4	no	—
1291	C₂²	—	26	8	no	—
1292	C₂²	—	52	8	no	—
1293	C₂²	—	52	4	no	—
1294	C₂²	—	52	16	no	—
1295	C₂²	—	104	4	no	—
1296	C₂²	—	104	8	no	—
1297	C₂²	C₂×#41×D₁₃	1	4	yes	—
1298	C₂²	C₂×#41×D₁₃	1	2	yes	—
1299	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	4	no	—
1303	C₄	—	2	4	no	—
1304	C₄	—	2	8	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	26	2	no	—
1307	C₄	—	26	2	no	—
1308	C₄	—	26	4	no	—
1309	C₄	—	26	4	no	—
1310	C₄	—	26	8	no	—
1311	C₄	—	26	4	no	—
1312	C₂	—	2	4	no	—
1313	C₂	—	2	2	no	—
1314	C₂	—	4	4	no	—
1315	C₂	—	13	4	no	—
1316	C₂	—	26	4	no	—
1317	C₂	—	26	2	no	—
1318	C₂	—	52	4	no	—
1319	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1320	C₂	D₁₃×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3491	C₂
prime radical	D₁₃×#534	C₂
hypercenter	#3491	D₁₃
hypocenter	C₁₃	C₂×#3491
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. #13128535	C₂	semidirect
2. #13128534	C₂	semidirect
3. #13128533	C₂	semidirect
4. #13128532	C₂	semidirect
5. #13128531	C₂	semidirect
6. #13128530	C₂	semidirect
7. #13128529	C₂	semidirect
8. #13128528	C₂	semidirect
9. #13128527	C₂	semidirect
10. D₁₃×#552	C₂	semidirect
11. D₁₃×#551	C₂	semidirect
12. D₁₃×#543	C₂	semidirect
13. D₁₃×#539	C₂	semidirect
15. D₁₃×#529	C₂	semidirect
16. C₂×D₁₃×#123	C₂	semidirect
17. D₁₃×#518	C₂	semidirect
18. C₂×D₁₃×#117	C₂	semidirect
19. C₁₃×#3491	C₂	semidirect
22. C₁₃×#552	C₂²	semidirect
23. C₁₃×#551	C₂²	semidirect
24. C₁₃×#543	C₂²	semidirect
25. C₁₃×#539	C₂²	semidirect
27. C₁₃×#529	C₂²	semidirect
28. C₂×C₁₃×#123	C₂²	semidirect
29. C₁₃×#518	C₂²	semidirect
30. C₂×C₁₃×#117	C₂²	semidirect
32. #11719503	C₂²	semidirect
33. C₂×#88189	C₂²	semidirect
34. C₂×#88183	C₂²	semidirect
35. C₂×#88180	C₂²	semidirect
36. #11719413	C₂²	semidirect
37. #11719413	C₂²	semidirect
38. #11719412	C₂²	semidirect
39. #11719411	C₂²	semidirect
40. #11719410	C₂²	semidirect
41. #11719410	C₂²	semidirect
42. D₁₃×#126	C₂²	semidirect
43. D₁₃×#126	C₂²	semidirect
44. #11719399	C₂²	semidirect
45. #11719398	C₂²	semidirect
46. #11719398	C₂²	semidirect
47. #11719397	C₂²	semidirect
48. #11719396	C₂²	semidirect
49. D₁₃×#125	C₂²	semidirect
50. D₁₃×#125	C₂²	semidirect
51. #11719385	C₂²	semidirect
52. #11719384	C₂²	semidirect
53. D₁₃×#124	C₂²	semidirect
54. #11719370	C₂²	semidirect
55. #11719365	C₂²	semidirect
56. #11719364	C₂²	semidirect
57. #11719363	C₂²	semidirect
58. #11719363	C₂²	semidirect
62. D₁₃×#123	C₂²	semidirect
63. D₁₃×#123	C₂²	semidirect
64. D₁₃×#123	C₂²	semidirect
65. D₁₃×#123	C₂²	semidirect
66. D₁₃×#123	C₂²	semidirect
67. D₁₃×#123	C₂²	semidirect
68. #11719355	C₂²	semidirect
69. #11719355	C₂²	semidirect
70. #11719354	C₂²	semidirect
71. #11719350	C₂²	semidirect
72. #11719347	C₂²	semidirect
73. #11719344	C₂²	semidirect
74. #11719343	C₂²	semidirect
75. #11719342	C₂²	semidirect
76. #11719342	C₂²	semidirect
77. #11719339	C₂²	semidirect
78. #11719339	C₂²	semidirect
79. D₁₃×C₂²⋊Q₈	C₂²	semidirect
80. D₁₃×C₂²⋊Q₈	C₂²	semidirect
81. D₁₃×C₂²⋊Q₈	C₂²	semidirect
82. #11719329	C₂²	semidirect
85. #11719307	C₂²	semidirect
86. #11719305	C₂²	semidirect
89. #11719292	C₂²	semidirect
90. #11719286	C₂²	semidirect
91. #11719285	C₂²	semidirect
92. C₄×Q₈×D₁₃	C₂²	semidirect
93. #11719269	C₂²	semidirect
94. #11719262	C₂²	semidirect
95. #11719261	C₂²	semidirect
96. #11719261	C₂²	semidirect
97. #11719250	C₂²	semidirect
98. #11719250	C₂²	semidirect
100. C₄×D₄×D₁₃	C₂²	semidirect
101. C₄×D₄×D₁₃	C₂²	semidirect
102. #11719246	C₂²	semidirect
103. #11719243	C₂²	semidirect
104. #11719236	C₂²	semidirect
105. #11719236	C₂²	semidirect
106. #11719234	C₂²	semidirect
107. #11719233	C₂²	semidirect
108. #11719232	C₂²	semidirect
109. #11719232	C₂²	semidirect
110. #11719226	C₂²	semidirect
111. D₁₃×#117	C₂²	semidirect
112. D₁₃×#117	C₂²	semidirect
113. D₁₃×#117	C₂²	semidirect
114. D₁₃×#117	C₂²	semidirect
115. #11719220	C₂²	semidirect
116. #11719218	C₂²	semidirect
117. C₂×#88148	C₂²	semidirect
118. C₂×#88146	C₂²	semidirect
119. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
120. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
121. #11719200	C₂²	semidirect
122. #11719200	C₂²	semidirect
124. C₂×#88140	C₂²	semidirect
125. C₂×#88137	C₂²	semidirect
126. #11719191	C₂²	semidirect
127. #11719191	C₂²	semidirect
128. #11719191	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. #11719188	C₂²	semidirect
135. #11719188	C₂²	semidirect
136. C₂×#88131	C₂²	semidirect
137. C₂×#88131	C₂²	semidirect
138. #11719184	C₂²	semidirect
139. C₂×#88126	C₂²	semidirect
140. C₂×C₄²×D₁₃	C₂²	semidirect
168. C₁₃×#126	C₂³	semidirect
169. C₁₃×#126	C₂³	semidirect
170. C₁₃×#125	C₂³	semidirect
171. C₁₃×#125	C₂³	semidirect
172. C₁₃×#124	C₂³	semidirect
175. C₁₃×#123	C₂³	semidirect
176. C₁₃×#123	C₂³	semidirect
177. C₁₃×#123	C₂³	semidirect
178. C₁₃×C₂²⋊Q₈	C₂³	semidirect
179. C₁₃×C₂²⋊Q₈	C₂³	semidirect
180. C₁₃×C₂²⋊Q₈	C₂³	semidirect
183. C₄×Q₈×C₁₃	C₂³	semidirect
185. C₄×D₄×C₁₃	C₂³	semidirect
186. C₄×D₄×C₁₃	C₂³	semidirect
187. C₁₃×#117	C₂³	semidirect
188. C₁₃×#117	C₂³	semidirect
189. C₁₃×#117	C₂³	semidirect
190. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
191. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
195. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
196. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
197. C₂×C₄²×C₁₃	C₂³	semidirect
202. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
203. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
204. #88201	C₂³	semidirect
205. #88200	C₂³	semidirect
206. #88200	C₂³	semidirect
207. #88200	C₂³	semidirect
208. Q₈×Dic₁₃	C₂³	semidirect
213. #88190	C₂³	semidirect
216. #88189	C₂³	semidirect
217. #88189	C₂³	semidirect
218. #88189	C₂³	semidirect
220. D₄×Dic₁₃	C₂³	semidirect
221. D₄×Dic₁₃	C₂³	semidirect
225. #88183	C₂³	semidirect
226. #88183	C₂³	semidirect
227. #88183	C₂³	semidirect
230. C₄×C₂²⋊D₁₃	C₂³	semidirect
231. C₄×C₂²⋊D₁₃	C₂³	semidirect
232. C₄×C₂²⋊D₁₃	C₂³	semidirect
236. C₂×#6103	C₂³	semidirect
237. C₂×#6103	C₂³	semidirect
238. C₂×#6103	C₂³	semidirect
239. #88180	C₂³	semidirect
240. #88180	C₂³	semidirect
241. #88180	C₂³	semidirect
242. C₂×C₄⋊Dic₁₃	C₂³	semidirect
243. C₂×C₄⋊Dic₁₃	C₂³	semidirect
244. #88178	C₂³	semidirect
245. #88178	C₂³	semidirect
246. #88178	C₂³	semidirect
247. C₂×#6101	C₂³	semidirect
248. C₂×#6101	C₂³	semidirect
249. C₂×#6101	C₂³	semidirect
250. C₂×#6101	C₂³	semidirect
251. C₂×C₄×Dic₁₃	C₂³	semidirect
252. C₂×C₄×Dic₁₃	C₂³	semidirect
253. C₂×C₄×Dic₁₃	C₂³	semidirect
254. #88152	C₂³	semidirect
255. #88152	C₂³	semidirect
256. #88152	C₂³	semidirect
257. #88152	C₂³	semidirect
258. #88152	C₂³	semidirect
259. #88152	C₂³	semidirect
260. #88151	C₂³	semidirect
261. #88151	C₂³	semidirect
262. #88151	C₂³	semidirect
263. #88150	C₂³	semidirect
264. #88150	C₂³	semidirect
265. #88150	C₂³	semidirect
266. #88150	C₂³	semidirect
267. #88150	C₂³	semidirect
272. #88148	C₂³	semidirect
273. #88148	C₂³	semidirect
274. #88148	C₂³	semidirect
275. #88148	C₂³	semidirect
277. #88147	C₂³	semidirect
278. #88147	C₂³	semidirect
279. #88146	C₂³	semidirect
280. #88146	C₂³	semidirect
281. #88146	C₂³	semidirect
282. #88146	C₂³	semidirect
283. #88146	C₂³	semidirect
291. C₄⋊C₄×D₁₃	C₂³	semidirect
292. C₄⋊C₄×D₁₃	C₂³	semidirect
293. C₄⋊C₄×D₁₃	C₂³	semidirect
294. #88144	C₂³	semidirect
295. #88144	C₂³	semidirect
296. #88144	C₂³	semidirect
297. #88144	C₂³	semidirect
298. #88143	C₂³	semidirect
299. #88143	C₂³	semidirect
300. #88143	C₂³	semidirect
301. #88143	C₂³	semidirect
302. #88143	C₂³	semidirect
303. #88143	C₂³	semidirect
304. #88141	C₂³	semidirect
305. #88141	C₂³	semidirect
308. #88140	C₂³	semidirect
309. #88140	C₂³	semidirect
310. #88140	C₂³	semidirect
311. #88139	C₂³	semidirect
312. #88139	C₂³	semidirect
317. #88137	C₂³	semidirect
318. #88137	C₂³	semidirect
319. #88137	C₂³	semidirect
320. #88137	C₂³	semidirect
325. #88135	C₂³	semidirect
326. #88135	C₂³	semidirect
327. #88135	C₂³	semidirect
340. C₂²⋊C₄×D₁₃	C₂³	semidirect
341. C₂²⋊C₄×D₁₃	C₂³	semidirect
342. C₂²⋊C₄×D₁₃	C₂³	semidirect
343. C₂²⋊C₄×D₁₃	C₂³	semidirect
344. C₂²⋊C₄×D₁₃	C₂³	semidirect
345. #88133	C₂³	semidirect
346. #88133	C₂³	semidirect
347. #88133	C₂³	semidirect
348. #88133	C₂³	semidirect
349. #88133	C₂³	semidirect
350. #88133	C₂³	semidirect
351. #88132	C₂³	semidirect
352. #88132	C₂³	semidirect
353. #88132	C₂³	semidirect
354. #88132	C₂³	semidirect
355. #88132	C₂³	semidirect
356. #88131	C₂³	semidirect
357. #88131	C₂³	semidirect
358. #88131	C₂³	semidirect
359. #88131	C₂³	semidirect
360. #88131	C₂³	semidirect
361. #88131	C₂³	semidirect
362. #88130	C₂³	semidirect
363. #88130	C₂³	semidirect
364. #88129	C₂³	semidirect
366. C₄×D₅₂	C₂³	semidirect
367. C₄×D₅₂	C₂³	semidirect
368. #88126	C₂³	semidirect
369. #88126	C₂³	semidirect
370. #88126	C₂³	semidirect
371. #88126	C₂³	semidirect
372. #88126	C₂³	semidirect
376. C₄²×D₁₃	C₂³	semidirect
377. C₄²×D₁₃	C₂³	semidirect
378. #88124	C₂³	semidirect
379. #88124	C₂³	semidirect
380. C₄×Dic₂₆	C₂³	semidirect
381. C₄×Dic₂₆	C₂³	semidirect
540. #3491	D₁₃	direct (N × H)
652. #552	C₂×D₁₃	semidirect
668. #551	C₂×D₁₃	semidirect
673. #543	C₂×D₁₃	semidirect
683. #539	C₂×D₁₃	semidirect
701. #529	C₂×D₁₃	semidirect
720. C₂×#123	C₂×D₁₃	semidirect
733. #518	C₂×D₁₃	semidirect
747. C₂×#117	C₂×D₁₃	semidirect
833. #126	C₂²×D₁₃	semidirect
834. #126	C₂²×D₁₃	semidirect
847. #125	C₂²×D₁₃	semidirect
848. #125	C₂²×D₁₃	semidirect
854. #124	C₂²×D₁₃	semidirect
886. #123	C₂²×D₁₃	semidirect
887. #123	C₂²×D₁₃	semidirect
888. #123	C₂²×D₁₃	semidirect
908. C₂²⋊Q₈	C₂²×D₁₃	semidirect
909. C₂²⋊Q₈	C₂²×D₁₃	semidirect
910. C₂²⋊Q₈	C₂²×D₁₃	semidirect
928. C₄×Q₈	C₂²×D₁₃	semidirect
949. C₄×D₄	C₂²×D₁₃	semidirect
950. C₄×D₄	C₂²×D₁₃	semidirect
970. #117	C₂²×D₁₃	semidirect
971. #117	C₂²×D₁₃	semidirect
972. #117	C₂²×D₁₃	semidirect
989. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
990. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1022. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1023. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1032. C₂×C₄²	C₂²×D₁₃	semidirect
1041. D₁₃	#3491	direct (N × H)
1190. C₁₃	C₂×#3491	semidirect

Maximal subgroups

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

subgroup	index
#13128535	2
#13128534	2
#13128533	2
#13128532	2
#13128531	2
#13128530	2
#13128529	2
#13128528	2
#13128527	2
D₁₃×#552	2
D₁₃×#551	2
D₁₃×#543	2
D₁₃×#539	2
D₁₃×#534	2
D₁₃×#529	2
C₂×D₁₃×#123	2
D₁₃×#518	2
C₂×D₁₃×#117	2
C₁₃×#3491	2
C₂×#3491	13

Subgroups — D13×#3491 #16770965

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3491 #16770965