Subgroups — D₁₃×#3506 #16770862

Order 3328.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128690	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128689	C₂	1	2	yes	maximal, complemented
3	#13128688	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128687	C₂	1	2	yes	maximal, complemented
5	#13128686	C₂	1	2	yes	maximal, complemented
6	#13128685	C₂	1	1	yes	maximal, characteristic, complemented
7	#13128684	C₂	1	4	yes	maximal, complemented
8	#13128683	C₂	1	4	yes	maximal, complemented
9	#13128682	C₂	1	4	yes	maximal, complemented
10	#13128681	C₂	1	2	yes	maximal, complemented
11	#13128680	C₂	1	2	yes	maximal, complemented
12	#13128679	C₂	1	4	yes	maximal, complemented
13	#13128678	C₂	1	2	yes	maximal, complemented
14	D₁₃×#559	C₂	1	4	yes	maximal, complemented
15	D₁₃×#556	C₂	1	2	yes	maximal, complemented
16	D₁₃×#555	C₂	1	2	yes	maximal, complemented
17	D₁₃×#553	C₂	1	4	yes	maximal, complemented
18	D₁₃×#550	C₂	1	2	yes	maximal, complemented
19	D₁₃×#547	C₂	1	2	yes	maximal, complemented
20	D₁₃×#538	C₂	1	4	yes	maximal, complemented
21	D₁₃×#535	C₂	1	2	yes	maximal, complemented
22	D₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#525	C₂	1	4	yes	maximal, complemented
25	D₁₃×#520	C₂	1	2	yes	maximal, complemented
26	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#41×D₁₃	C₂²	1	2	yes	—
29	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
32	C₁₃×#559	C₂²	1	4	yes	complemented
33	C₁₃×#556	C₂²	1	2	yes	complemented
34	C₁₃×#555	C₂²	1	2	yes	complemented
35	C₁₃×#553	C₂²	1	4	yes	complemented
36	C₁₃×#550	C₂²	1	2	yes	complemented
37	C₁₃×#547	C₂²	1	2	yes	complemented
38	C₁₃×#538	C₂²	1	4	yes	complemented
39	C₁₃×#535	C₂²	1	2	yes	complemented
40	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#525	C₂²	1	4	yes	complemented
43	C₁₃×#520	C₂²	1	2	yes	complemented
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	#11719539	C₂²	1	4	yes	complemented
46	#11719537	C₂²	1	2	yes	complemented
47	#11719535	C₂²	1	2	yes	complemented
48	#11719533	C₂²	1	4	yes	complemented
49	#11719532	C₂²	1	2	yes	complemented
50	#11719529	C₂²	1	4	yes	complemented
51	#11719510	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
53	#11719496	C₂²	1	4	yes	complemented
54	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
55	#11719439	C₂²	1	2	yes	complemented
56	#11719437	C₂²	1	2	yes	complemented
57	#11719433	C₂²	1	1	yes	characteristic, complemented
58	#11719433	C₂²	1	1	yes	characteristic, complemented
59	#11719431	C₂²	1	2	yes	complemented
60	#11719430	C₂²	1	1	yes	characteristic, complemented
61	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#11719423	C₂²	1	2	yes	complemented
65	#11719423	C₂²	1	4	yes	complemented
66	#11719421	C₂²	1	1	yes	characteristic, complemented
67	#11719420	C₂²	1	4	yes	complemented
68	D₁₃×#127	C₂²	1	4	yes	—
69	D₁₃×#127	C₂²	1	1	yes	characteristic, complemented
70	#11719418	C₂²	1	4	yes	complemented
71	#11719414	C₂²	1	8	yes	complemented
72	#11719409	C₂²	1	8	yes	complemented
73	D₁₃×#126	C₂²	1	8	yes	complemented
74	#11719407	C₂²	1	8	yes	complemented
75	#11719400	C₂²	1	4	yes	complemented
76	#11719393	C₂²	1	2	yes	complemented
77	D₁₃×#125	C₂²	1	2	yes	complemented
78	#11719386	C₂²	1	4	yes	complemented
79	#11719386	C₂²	1	8	yes	complemented
80	#11719386	C₂²	1	4	yes	complemented
81	#11719383	C₂²	1	8	yes	complemented
82	#11719379	C₂²	1	4	yes	complemented
83	D₁₃×#124	C₂²	1	4	yes	—
84	D₁₃×#124	C₂²	1	2	yes	complemented
85	D₁₃×#124	C₂²	1	8	yes	complemented
86	#11719376	C₂²	1	4	yes	complemented
87	#11719375	C₂²	1	8	yes	complemented
88	#11719373	C₂²	1	2	yes	complemented
89	#11719369	C₂²	1	8	yes	complemented
90	#11719369	C₂²	1	8	yes	complemented
91	#11719366	C₂²	1	8	yes	complemented
92	#11719362	C₂²	1	8	yes	complemented
93	#11719361	C₂²	1	8	yes	complemented
94	#11719360	C₂²	1	8	yes	complemented
95	D₁₃×#123	C₂²	1	8	yes	complemented
96	D₁₃×#123	C₂²	1	8	yes	complemented
97	#11719349	C₂²	1	4	yes	complemented
98	#11719346	C₂²	1	4	yes	complemented
99	#11719336	C₂²	1	4	yes	complemented
100	#11719332	C₂²	1	4	yes	complemented
101	#11719332	C₂²	1	4	yes	complemented
102	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
103	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
104	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
105	#11719327	C₂²	1	2	yes	complemented
106	#11719327	C₂²	1	2	yes	complemented
107	#11719323	C₂²	1	4	yes	complemented
108	#11719322	C₂²	1	4	yes	complemented
109	#11719321	C₂²	1	4	yes	complemented
110	#11719321	C₂²	1	4	yes	complemented
111	#11719319	C₂²	1	4	yes	complemented
112	#11719318	C₂²	1	8	yes	complemented
113	#11719316	C₂²	1	4	yes	complemented
114	#11719312	C₂²	1	4	yes	complemented
115	#11719312	C₂²	1	4	yes	complemented
116	#11719311	C₂²	1	4	yes	complemented
117	#11719311	C₂²	1	4	yes	complemented
118	D₁₃×#121	C₂²	1	4	yes	—
119	D₁₃×#121	C₂²	1	2	yes	—
120	D₁₃×#121	C₂²	1	4	yes	—
121	D₁₃×#121	C₂²	1	2	yes	—
122	D₁₃×#121	C₂²	1	4	yes	complemented
123	D₁₃×#121	C₂²	1	8	yes	complemented
124	#11719306	C₂²	1	8	yes	complemented
125	#11719304	C₂²	1	8	yes	complemented
126	#11719304	C₂²	1	4	yes	complemented
127	#11719301	C₂²	1	2	yes	complemented
128	#11719301	C₂²	1	2	yes	complemented
129	#11719298	C₂²	1	8	yes	complemented
130	#11719297	C₂²	1	8	yes	complemented
131	D₁₃×#120	C₂²	1	8	yes	—
132	#11719291	C₂²	1	8	yes	complemented
133	#11719290	C₂²	1	4	yes	complemented
134	#11719290	C₂²	1	4	yes	complemented
135	#11719289	C₂²	1	2	yes	complemented
136	#11719283	C₂²	1	2	yes	complemented
137	#11719283	C₂²	1	2	yes	complemented
138	#11719282	C₂²	1	2	yes	complemented
139	#11719279	C₂²	1	4	yes	complemented
140	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
141	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
142	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
143	#11719273	C₂²	1	4	yes	complemented
144	#11719270	C₂²	1	4	yes	complemented
145	#11719268	C₂²	1	2	yes	complemented
146	#11719268	C₂²	1	2	yes	complemented
147	#11719265	C₂²	1	8	yes	complemented
148	#11719264	C₂²	1	4	yes	complemented
149	#11719264	C₂²	1	8	yes	complemented
150	#11719264	C₂²	1	4	yes	complemented
151	#11719263	C₂²	1	4	yes	complemented
152	#11719260	C₂²	1	2	yes	complemented
153	#11719258	C₂²	1	4	yes	complemented
154	#11719258	C₂²	1	2	yes	complemented
155	#11719256	C₂²	1	2	yes	complemented
156	#11719253	C₂²	1	2	yes	complemented
157	#11719253	C₂²	1	2	yes	complemented
158	#11719252	C₂²	1	8	yes	complemented
159	#11719252	C₂²	1	8	yes	complemented
160	#11719251	C₂²	1	4	yes	complemented
161	#11719251	C₂²	1	8	yes	complemented
162	C₄×D₄×D₁₃	C₂²	1	2	yes	—
163	C₄×D₄×D₁₃	C₂²	1	2	yes	—
164	C₄×D₄×D₁₃	C₂²	1	2	yes	—
165	C₄×D₄×D₁₃	C₂²	1	2	yes	—
166	C₄×D₄×D₁₃	C₂²	1	8	yes	—
167	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
168	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
169	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
170	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
171	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
172	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
173	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
174	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
175	#11719247	C₂²	1	2	yes	complemented
176	#11719245	C₂²	1	8	yes	complemented
177	#11719238	C₂²	1	4	yes	complemented
178	#11719237	C₂²	1	4	yes	complemented
179	#11719237	C₂²	1	4	yes	complemented
180	#11719235	C₂²	1	4	yes	complemented
181	#11719230	C₂²	1	2	yes	complemented
182	#11719229	C₂²	1	4	yes	complemented
183	#11719228	C₂²	1	4	yes	complemented
184	#11719228	C₂²	1	2	yes	complemented
185	D₁₃×#117	C₂²	1	2	yes	—
186	D₁₃×#117	C₂²	1	4	yes	complemented
187	D₁₃×#117	C₂²	1	4	yes	complemented
188	#11719222	C₂²	1	2	yes	complemented
189	#11719219	C₂²	1	4	yes	complemented
190	#11719212	C₂²	1	4	yes	complemented
191	#11719209	C₂²	1	4	yes	complemented
192	#11719209	C₂²	1	2	yes	complemented
193	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
195	C₂×C₄⋊C₄×D₁₃	C₂²	1	4	yes	complemented
196	#11719199	C₂²	1	4	yes	complemented
197	C₂×#88135	C₂²	1	2	yes	complemented
198	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
199	#11719182	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
202	#11719175	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	C₂³	1	2	yes	—
204	C₂×C₁₃×#41	C₂³	1	2	yes	—
205	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
208	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
209	C₂³×Dic₁₃	C₂³	1	2	yes	—
210	#41×D₁₃	—	2	16	no	—
211	#41×D₁₃	—	4	16	no	—
212	C₂×#6131	C₂³	1	2	yes	—
213	C₂×#6131	C₂³	1	4	yes	complemented
214	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
215	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
216	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
217	C₂×#6129	C₂³	1	4	yes	—
218	C₂×#6129	C₂³	1	2	yes	—
219	C₂×#6129	C₂³	1	4	yes	complemented
220	C₂×#6129	C₂³	1	8	yes	complemented
221	C₂×D₄×D₁₃	—	2	8	no	—
222	C₂×D₄×D₁₃	C₂³	1	4	yes	—
223	C₂×D₄×D₁₃	C₂³	1	2	yes	—
224	C₂×D₄×D₁₃	C₂³	1	2	yes	—
225	C₂×D₄×D₁₃	C₂³	1	2	yes	—
226	C₂×D₄×D₁₃	C₂³	1	2	yes	—
227	C₂×D₄×D₁₃	C₂³	1	2	yes	—
228	C₂×D₄×D₁₃	C₂³	1	2	yes	—
229	C₂×D₄×D₁₃	C₂³	1	8	yes	—
230	C₂×D₄×D₁₃	C₂³	1	2	yes	—
231	C₂×D₄×D₁₃	C₂³	1	8	yes	—
232	C₂×#6127	C₂³	1	2	yes	—
233	C₂×#6127	C₂³	1	4	yes	—
234	C₂×#6127	C₂³	1	8	yes	complemented
235	C₂×#6127	C₂³	1	4	yes	complemented
236	C₂²×D₅₂	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₁₃	—	4	8	no	—
238	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
240	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
241	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
242	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
243	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
244	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
245	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
246	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
247	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
248	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
249	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
251	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
252	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
253	C₁₃×#127	C₂³	1	4	yes	—
254	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
255	C₁₃×#126	C₂³	1	8	yes	complemented
256	C₁₃×#125	C₂³	1	2	yes	complemented
257	C₁₃×#124	C₂³	1	4	yes	—
258	C₁₃×#124	C₂³	1	2	yes	complemented
259	C₁₃×#124	C₂³	1	8	yes	complemented
260	C₁₃×#123	C₂³	1	8	yes	complemented
261	C₁₃×#123	C₂³	1	8	yes	complemented
262	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
265	C₁₃×#121	C₂³	1	2	yes	—
266	C₁₃×#121	C₂³	1	2	yes	—
267	C₁₃×#121	C₂³	1	4	yes	—
268	C₁₃×#121	C₂³	1	4	yes	—
269	C₁₃×#121	C₂³	1	4	yes	complemented
270	C₁₃×#121	C₂³	1	8	yes	complemented
271	C₁₃×#120	C₂³	1	8	yes	—
272	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
273	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
274	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
275	C₄×D₄×C₁₃	C₂³	1	2	yes	—
276	C₄×D₄×C₁₃	C₂³	1	2	yes	—
277	C₄×D₄×C₁₃	C₂³	1	2	yes	—
278	C₄×D₄×C₁₃	C₂³	1	2	yes	—
279	C₄×D₄×C₁₃	C₂³	1	8	yes	—
280	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
281	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
282	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
283	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
284	C₁₃×#117	C₂³	1	2	yes	—
285	C₁₃×#117	C₂³	1	4	yes	complemented
286	C₁₃×#117	C₂³	1	4	yes	complemented
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
291	#88207	C₂³	1	8	yes	—
292	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
293	#88201	C₂³	1	4	yes	—
294	#88201	C₂³	1	2	yes	complemented
295	#88201	C₂³	1	8	yes	complemented
296	#88200	C₂³	1	2	yes	—
297	#88200	C₂³	1	2	yes	—
298	#88200	C₂³	1	4	yes	complemented
299	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
300	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
301	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
302	#88198	C₂³	1	2	yes	complemented
303	#88198	C₂³	1	2	yes	complemented
304	#88198	C₂³	1	2	yes	complemented
305	#88194	C₂³	1	4	yes	—
306	#88194	C₂³	1	4	yes	—
307	#88194	C₂³	1	8	yes	—
308	#88194	C₂³	1	8	yes	—
309	#88194	C₂³	1	2	yes	complemented
310	#88194	C₂³	1	2	yes	complemented
311	#88194	C₂³	1	2	yes	complemented
312	#88193	C₂³	1	8	yes	—
313	#88193	C₂³	1	4	yes	—
314	#88193	C₂³	1	4	yes	—
315	#88193	C₂³	1	8	yes	—
316	#88193	C₂³	1	8	yes	complemented
317	#88193	C₂³	1	8	yes	complemented
318	#88193	C₂³	1	8	yes	complemented
319	#88192	C₂³	1	2	yes	—
320	#88192	C₂³	1	2	yes	—
321	#88192	C₂³	1	4	yes	—
322	#88192	C₂³	1	4	yes	—
323	#88192	C₂³	1	4	yes	complemented
324	#88192	C₂³	1	8	yes	complemented
325	#88191	C₂³	1	8	yes	—
326	#88191	C₂³	1	8	yes	—
327	#88191	C₂³	1	8	yes	—
328	#88190	C₂³	1	4	yes	—
329	#88190	C₂³	1	2	yes	complemented
330	#88190	C₂³	1	8	yes	complemented
331	#88189	C₂³	1	8	yes	complemented
332	#88189	C₂³	1	8	yes	complemented
333	D₄×Dic₁₃	C₂³	1	2	yes	—
334	D₄×Dic₁₃	C₂³	1	2	yes	—
335	D₄×Dic₁₃	C₂³	1	2	yes	—
336	D₄×Dic₁₃	C₂³	1	2	yes	—
337	D₄×Dic₁₃	C₂³	1	8	yes	—
338	D₄×Dic₁₃	C₂³	1	4	yes	complemented
339	D₄×Dic₁₃	C₂³	1	2	yes	complemented
340	D₄×Dic₁₃	C₂³	1	8	yes	complemented
341	D₄×Dic₁₃	C₂³	1	2	yes	complemented
342	#88184	C₂³	1	2	yes	—
343	#88184	C₂³	1	2	yes	—
344	#88184	C₂³	1	4	yes	—
345	#88184	C₂³	1	4	yes	—
346	#88184	C₂³	1	8	yes	complemented
347	#88184	C₂³	1	4	yes	complemented
348	#88183	C₂³	1	8	yes	complemented
349	#88183	C₂³	1	8	yes	complemented
350	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
351	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
352	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
353	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
354	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
355	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
356	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
357	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
358	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
359	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
360	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
361	C₂×#6103	C₂³	1	2	yes	—
362	C₂×#6103	C₂³	1	2	yes	—
363	#88180	C₂³	1	2	yes	—
364	#88180	C₂³	1	4	yes	complemented
365	#88180	C₂³	1	4	yes	complemented
366	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
367	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	complemented
368	#88178	C₂³	1	2	yes	—
369	#88178	C₂³	1	2	yes	—
370	#88178	C₂³	1	4	yes	complemented
371	C₂×#6101	C₂³	1	2	yes	—
372	C₂×#6101	C₂³	1	8	yes	complemented
373	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
374	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
375	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
376	#88152	C₂³	1	8	yes	complemented
377	#88152	C₂³	1	8	yes	complemented
378	#88152	C₂³	1	8	yes	complemented
379	#88151	C₂³	1	2	yes	—
380	#88151	C₂³	1	2	yes	—
381	#88151	C₂³	1	4	yes	complemented
382	#88150	C₂³	1	4	yes	—
383	#88150	C₂³	1	4	yes	—
384	#88150	C₂³	1	8	yes	complemented
385	#88149	C₂³	1	2	yes	—
386	#88149	C₂³	1	2	yes	—
387	#88149	C₂³	1	4	yes	—
388	#88149	C₂³	1	4	yes	—
389	#88149	C₂³	1	4	yes	complemented
390	#88149	C₂³	1	8	yes	complemented
391	#88148	C₂³	1	8	yes	complemented
392	#88148	C₂³	1	8	yes	complemented
393	#88148	C₂³	1	8	yes	complemented
394	#88148	C₂³	1	8	yes	complemented
395	#88147	C₂³	1	2	yes	—
396	#88147	C₂³	1	2	yes	—
397	#88147	C₂³	1	2	yes	—
398	#88147	C₂³	1	2	yes	—
399	#88147	C₂³	1	8	yes	—
400	#88147	C₂³	1	2	yes	complemented
401	#88147	C₂³	1	2	yes	complemented
402	#88147	C₂³	1	4	yes	complemented
403	#88147	C₂³	1	8	yes	complemented
404	#88146	C₂³	1	2	yes	—
405	#88146	C₂³	1	2	yes	—
406	#88146	C₂³	1	4	yes	complemented
407	#88146	C₂³	1	4	yes	complemented
408	#88146	C₂³	1	4	yes	complemented
409	#88146	C₂³	1	4	yes	complemented
410	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
411	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
412	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
413	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
414	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
415	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
416	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
417	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
418	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
419	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
420	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
421	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
422	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
423	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
424	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
425	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
426	#88144	C₂³	1	2	yes	complemented
427	#88144	C₂³	1	2	yes	complemented
428	#88143	C₂³	1	4	yes	complemented
429	#88143	C₂³	1	4	yes	complemented
430	#88142	C₂³	1	2	yes	complemented
431	#88142	C₂³	1	2	yes	complemented
432	#88142	C₂³	1	2	yes	complemented
433	#88142	C₂³	1	2	yes	complemented
434	#88142	C₂³	1	2	yes	complemented
435	#88142	C₂³	1	2	yes	complemented
436	#88141	C₂³	1	2	yes	complemented
437	#88141	C₂³	1	2	yes	complemented
438	#88141	C₂³	1	4	yes	complemented
439	#88141	C₂³	1	8	yes	complemented
440	#88141	C₂³	1	4	yes	complemented
441	#88141	C₂³	1	4	yes	complemented
442	#88140	C₂³	1	8	yes	complemented
443	#88140	C₂³	1	8	yes	complemented
444	#88139	C₂³	1	8	yes	—
445	#88139	C₂³	1	8	yes	—
446	#88139	C₂³	1	8	yes	complemented
447	#88139	C₂³	1	8	yes	complemented
448	#88139	C₂³	1	8	yes	complemented
449	#88139	C₂³	1	4	yes	complemented
450	#88139	C₂³	1	4	yes	complemented
451	#88139	C₂³	1	8	yes	complemented
452	#88138	C₂³	1	8	yes	—
453	#88138	C₂³	1	8	yes	—
454	#88138	C₂³	1	4	yes	—
455	#88138	C₂³	1	4	yes	—
456	#88138	C₂³	1	8	yes	complemented
457	#88138	C₂³	1	8	yes	complemented
458	#88138	C₂³	1	8	yes	complemented
459	#88137	C₂³	1	8	yes	complemented
460	#88137	C₂³	1	8	yes	complemented
461	#88137	C₂³	1	8	yes	complemented
462	#88137	C₂³	1	8	yes	complemented
463	#88136	C₂³	1	8	yes	—
464	#88136	C₂³	1	8	yes	—
465	#88136	C₂³	1	8	yes	—
466	#88135	C₂³	1	4	yes	—
467	#88135	C₂³	1	4	yes	—
468	#88135	C₂³	1	4	yes	—
469	#88135	C₂³	1	4	yes	—
470	#88135	C₂³	1	8	yes	—
471	#88135	C₂³	1	8	yes	—
472	#88135	C₂³	1	8	yes	complemented
473	#88135	C₂³	1	4	yes	complemented
474	#88135	C₂³	1	8	yes	complemented
475	#88135	C₂³	1	8	yes	complemented
476	#88135	C₂³	1	4	yes	complemented
477	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
478	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
479	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
480	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
481	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
482	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
483	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
484	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
485	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
486	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
487	#88133	C₂³	1	8	yes	complemented
488	#88133	C₂³	1	8	yes	complemented
489	#88133	C₂³	1	8	yes	complemented
490	#88132	C₂³	1	4	yes	—
491	#88132	C₂³	1	4	yes	—
492	#88132	C₂³	1	8	yes	complemented
493	#88131	C₂³	1	4	yes	—
494	#88131	C₂³	1	8	yes	complemented
495	#88131	C₂³	1	8	yes	complemented
496	#88130	C₂³	1	8	yes	complemented
497	#88129	C₂³	1	4	yes	—
498	#88129	C₂³	1	2	yes	complemented
499	#88129	C₂³	1	8	yes	complemented
500	#88128	C₂³	1	4	yes	—
501	#88128	C₂³	1	1	yes	characteristic, complemented
502	C₄×D₅₂	C₂³	1	2	yes	—
503	C₄×D₅₂	C₂³	1	2	yes	—
504	C₄×D₅₂	C₂³	1	2	yes	—
505	C₄×D₅₂	C₂³	1	2	yes	—
506	C₄×D₅₂	C₂³	1	8	yes	—
507	C₄×D₅₂	C₂³	1	2	yes	complemented
508	C₄×D₅₂	C₂³	1	2	yes	complemented
509	C₄×D₅₂	C₂³	1	4	yes	complemented
510	C₄×D₅₂	C₂³	1	8	yes	complemented
511	#88126	C₂³	1	4	yes	—
512	#88126	C₂³	1	8	yes	complemented
513	#88126	C₂³	1	8	yes	complemented
514	C₄²×D₁₃	C₂³	1	1	yes	characteristic
515	C₄²×D₁₃	C₂³	1	1	yes	characteristic
516	C₄²×D₁₃	C₂³	1	1	yes	characteristic
517	C₄²×D₁₃	C₂³	1	1	yes	characteristic
518	C₄²×D₁₃	C₂³	1	1	yes	characteristic
519	C₄²×D₁₃	C₂³	1	1	yes	characteristic
520	C₄²×D₁₃	C₂³	1	1	yes	characteristic
521	C₄²×D₁₃	C₂³	1	1	yes	characteristic
522	C₄²×D₁₃	C₂³	1	4	yes	—
523	C₄²×D₁₃	C₂³	1	8	yes	—
524	#88124	C₂³	1	2	yes	complemented
525	#88123	C₂³	1	1	yes	characteristic, complemented
526	#88123	C₂³	1	1	yes	characteristic, complemented
527	#88123	C₂³	1	1	yes	characteristic, complemented
528	C₄×Dic₂₆	C₂³	1	2	yes	complemented
529	C₄×Dic₂₆	C₂³	1	2	yes	complemented
530	C₄×Dic₂₆	C₂³	1	4	yes	complemented
531	C₄×Dic₂₆	C₂³	1	4	yes	complemented
532	C₄×Dic₂₆	C₂³	1	8	yes	complemented
533	C₄×Dic₂₆	C₂³	1	4	yes	complemented
534	C₂×#3506	—	13	1	no	maximal, Sylow
535	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
536	C₂³×D₁₃	—	2	8	no	—
537	C₂³×D₁₃	—	4	4	no	—
538	C₂³×D₁₃	—	4	4	no	—
539	C₂³×D₁₃	C₂⁴	1	4	yes	—
540	C₂³×D₁₃	C₂⁴	1	4	yes	—
541	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
542	C₂³×D₁₃	C₂⁴	1	4	yes	—
543	C₂³×D₁₃	C₂⁴	1	2	yes	—
544	C₁₃×#41	—	2	8	no	—
545	C₁₃×#41	—	4	8	no	—
546	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
549	C₂×D₄×C₁₃	—	2	4	no	—
550	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
551	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
552	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
554	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
555	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
556	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
557	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
558	C₂²×C₄×C₁₃	—	4	4	no	—
559	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
565	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
566	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₂²⋊D₁₃	—	2	8	no	—
568	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
569	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
570	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
572	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
573	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
574	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
575	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
577	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
578	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
579	C₂²×Dic₁₃	—	4	4	no	—
580	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
581	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
582	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
585	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
586	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
587	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
588	#6131	—	2	8	no	—
589	#6131	—	4	8	no	—
590	Q₈×D₁₃	—	2	8	no	—
591	Q₈×D₁₃	—	2	8	no	—
592	Q₈×D₁₃	—	4	4	no	—
593	#6129	—	2	16	no	—
594	#6129	—	2	8	no	—
595	#6129	—	4	8	no	—
596	#6129	—	4	16	no	—
597	D₄×D₁₃	—	2	16	no	—
598	D₄×D₁₃	—	2	8	no	—
599	D₄×D₁₃	—	2	8	no	—
600	D₄×D₁₃	—	2	8	no	—
601	D₄×D₁₃	—	2	8	no	—
602	D₄×D₁₃	—	2	8	no	—
603	D₄×D₁₃	—	2	8	no	—
604	D₄×D₁₃	—	4	4	no	—
605	D₄×D₁₃	—	4	16	no	—
606	D₄×D₁₃	—	4	16	no	—
607	#6127	—	2	8	no	—
608	#6127	—	2	16	no	—
609	#6127	—	4	16	no	—
610	#6127	—	4	8	no	—
611	C₂×D₅₂	—	2	4	no	—
612	C₂×D₅₂	C₂⁴	1	2	yes	—
613	C₂×D₅₂	C₂⁴	1	4	yes	—
614	C₂×D₅₂	C₂⁴	1	2	yes	—
615	C₂×D₅₂	C₂⁴	1	2	yes	—
616	C₂×D₅₂	C₂⁴	1	2	yes	—
617	C₂×D₅₂	C₂⁴	1	8	yes	—
618	C₂×D₅₂	C₂⁴	1	2	yes	—
619	C₂×D₅₂	C₂⁴	1	8	yes	—
620	C₂×C₄×D₁₃	—	2	16	no	—
621	C₂×C₄×D₁₃	—	2	4	no	—
622	C₂×C₄×D₁₃	—	2	16	no	—
623	C₂×C₄×D₁₃	—	4	8	no	—
624	C₂×C₄×D₁₃	—	4	4	no	—
625	C₂×C₄×D₁₃	—	4	8	no	—
626	C₂×C₄×D₁₃	—	4	4	no	—
627	C₂×C₄×D₁₃	—	4	4	no	—
628	C₂×C₄×D₁₃	—	4	8	no	—
629	C₂×C₄×D₁₃	—	4	2	no	—
630	C₂×C₄×D₁₃	—	4	16	no	—
631	C₂×C₄×D₁₃	#41	1	8	yes	complemented
632	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
633	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
635	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
638	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
641	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
642	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
643	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
644	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
645	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
648	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
649	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
650	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
651	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
652	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
653	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
654	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
655	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
656	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
657	C₂×Dic₂₆	C₂⁴	1	2	yes	—
658	C₂×Dic₂₆	C₂⁴	1	4	yes	—
659	C₂×Dic₂₆	C₂⁴	1	2	yes	—
660	C₂×Dic₂₆	C₂⁴	1	4	yes	—
661	C₂×Dic₂₆	C₂⁴	1	2	yes	—
662	C₂×Dic₂₆	C₂⁴	1	4	yes	—
663	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
664	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
665	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
666	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
669	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
671	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
672	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
673	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
674	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
682	C₄²×C₁₃	C₂⁴	1	4	yes	—
683	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
684	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₁₃	C₂⁴	1	8	yes	—
686	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
687	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
688	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
689	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
690	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
691	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
692	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
694	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
695	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
696	#6103	C₂⁴	1	4	yes	—
697	#6103	C₂⁴	1	4	yes	—
698	#6103	C₂⁴	1	8	yes	—
699	#6103	C₂⁴	1	8	yes	—
700	#6103	C₂⁴	1	8	yes	—
701	#6103	C₂⁴	1	8	yes	—
702	#6103	C₂⁴	1	4	yes	—
703	#6103	C₂⁴	1	4	yes	—
704	#6103	C₂⁴	1	4	yes	—
705	#6103	C₂⁴	1	4	yes	—
706	#6103	C₂⁴	1	4	yes	—
707	#6103	C₂⁴	1	8	yes	—
708	#6103	C₂⁴	1	8	yes	—
709	#6103	C₂⁴	1	4	yes	—
710	#6103	C₂⁴	1	4	yes	—
711	#6103	C₂⁴	1	4	yes	—
712	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
713	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
714	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
715	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
716	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
717	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
718	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
719	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
720	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
721	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
722	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
723	#6101	C₂⁴	1	4	yes	—
724	#6101	C₂⁴	1	4	yes	—
725	#6101	C₂⁴	1	4	yes	—
726	#6101	C₂⁴	1	4	yes	—
727	#6101	C₂⁴	1	4	yes	—
728	#6101	C₂⁴	1	8	yes	—
729	#6101	C₂⁴	1	4	yes	—
730	#6101	C₂⁴	1	4	yes	—
731	#6101	C₂⁴	1	8	yes	—
732	#6101	C₂⁴	1	4	yes	—
733	#6101	C₂⁴	1	4	yes	—
734	#6101	C₂⁴	1	4	yes	—
735	#6101	C₂⁴	1	4	yes	—
736	#6101	C₂⁴	1	4	yes	—
737	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
738	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
739	C₄×Dic₁₃	C₂⁴	1	4	yes	—
740	C₄×Dic₁₃	C₂⁴	1	4	yes	—
741	C₄×Dic₁₃	C₂⁴	1	8	yes	—
742	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
743	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
744	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
745	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
746	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
747	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
748	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
749	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
750	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
751	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
752	C₄×Dic₁₃	C₂⁴	1	8	yes	—
753	C₄×Dic₁₃	C₂⁴	1	8	yes	—
754	C₄×Dic₁₃	C₂⁴	1	4	yes	—
755	#3506	—	13	4	no	—
756	#3506	—	13	2	no	—
757	#3506	—	13	2	no	—
758	#3506	—	13	4	no	—
759	#3506	—	13	2	no	—
760	#3506	—	13	2	no	—
761	#3506	—	13	4	no	—
762	#3506	—	13	2	no	—
763	#3506	—	13	1	no	—
764	#3506	—	13	1	no	—
765	#3506	—	13	4	no	—
766	#3506	—	13	2	no	—
767	#3506	—	13	1	no	—
768	#3506	D₁₃	1	1	yes	characteristic, direct product factor
769	C₂×#559	—	13	4	no	—
770	C₂×#556	—	13	2	no	—
771	C₂×#555	—	13	2	no	—
772	C₂×#553	—	13	4	no	—
773	C₂×#550	—	13	2	no	—
774	C₂×#547	—	13	2	no	—
775	C₂×#538	—	13	4	no	—
776	C₂×#535	—	13	2	no	—
777	C₂×#533	—	13	1	no	—
778	C₂×#532	—	13	1	no	—
779	C₂×#525	—	13	4	no	—
780	C₂×#520	—	13	2	no	—
781	C₂²×C₄×D₄	—	13	1	no	—
782	C₂³×C₁₃	—	2	4	no	—
783	C₂³×C₁₃	—	4	2	no	—
784	C₂³×C₁₃	—	4	2	no	—
785	C₂³×C₁₃	C₂⁵	1	4	yes	—
786	C₂³×C₁₃	C₂⁵	1	4	yes	—
787	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
788	C₂²×D₁₃	—	2	2	no	—
789	C₂²×D₁₃	—	2	2	no	—
790	C₂²×D₁₃	—	2	4	no	—
791	C₂²×D₁₃	—	2	8	no	—
792	C₂²×D₁₃	—	2	8	no	—
793	C₂²×D₁₃	—	2	8	no	—
794	C₂²×D₁₃	—	2	8	no	—
795	C₂²×D₁₃	—	2	8	no	—
796	C₂²×D₁₃	—	2	8	no	—
797	C₂²×D₁₃	—	2	8	no	—
798	C₂²×D₁₃	—	4	4	no	—
799	C₂²×D₁₃	—	4	2	no	—
800	C₂²×D₁₃	—	4	4	no	—
801	C₂²×D₁₃	—	4	2	no	—
802	C₂²×D₁₃	—	4	32	no	—
803	C₂²×D₁₃	C₂×#41	1	4	yes	—
804	C₂²×D₁₃	C₂⁵	1	4	yes	—
805	C₂²×D₁₃	C₂⁵	1	4	yes	—
806	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
807	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
808	Q₈×C₁₃	—	2	4	no	—
809	Q₈×C₁₃	—	2	4	no	—
810	Q₈×C₁₃	—	4	2	no	—
811	D₄×C₁₃	—	2	8	no	—
812	D₄×C₁₃	—	2	4	no	—
813	D₄×C₁₃	—	2	4	no	—
814	D₄×C₁₃	—	2	4	no	—
815	D₄×C₁₃	—	2	4	no	—
816	D₄×C₁₃	—	4	8	no	—
817	D₄×C₁₃	—	4	8	no	—
818	D₄×C₁₃	—	4	2	no	—
819	C₂×C₄×C₁₃	—	2	8	no	—
820	C₂×C₄×C₁₃	—	2	2	no	—
821	C₂×C₄×C₁₃	—	2	8	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	4	4	no	—
824	C₂×C₄×C₁₃	—	4	8	no	—
825	C₂×C₄×C₁₃	—	4	1	no	—
826	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
827	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
828	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
831	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
832	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
834	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
837	C₂²⋊D₁₃	—	2	8	no	—
838	C₂²⋊D₁₃	—	2	8	no	—
839	C₂²⋊D₁₃	—	2	8	no	—
840	C₂²⋊D₁₃	—	2	8	no	—
841	C₂²⋊D₁₃	—	2	8	no	—
842	C₂²⋊D₁₃	—	2	8	no	—
843	C₂²⋊D₁₃	—	4	8	no	—
844	C₂²⋊D₁₃	—	4	8	no	—
845	C₂²⋊D₁₃	—	4	8	no	—
846	C₂²⋊D₁₃	—	4	8	no	—
847	C₂²⋊D₁₃	—	4	4	no	—
848	C₂×Dic₁₃	—	2	8	no	—
849	C₂×Dic₁₃	—	2	2	no	—
850	C₂×Dic₁₃	—	2	8	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	4	no	—
853	C₂×Dic₁₃	—	4	8	no	—
854	C₂×Dic₁₃	—	4	1	no	—
855	C₂×Dic₁₃	C₂×#41	1	4	yes	complemented
856	C₂×Dic₁₃	C₂⁵	1	4	yes	—
857	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂⁵	1	4	yes	—
859	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂⁵	1	4	yes	—
861	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂⁵	1	4	yes	—
863	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
866	D₅₂	—	2	8	no	—
867	D₅₂	—	2	4	no	—
868	D₅₂	—	2	4	no	—
869	D₅₂	—	2	4	no	—
870	D₅₂	—	2	4	no	—
871	D₅₂	—	4	8	no	—
872	D₅₂	—	4	8	no	—
873	D₅₂	—	4	2	no	—
874	C₄×D₁₃	—	2	8	no	—
875	C₄×D₁₃	—	2	2	no	—
876	C₄×D₁₃	—	2	8	no	—
877	C₄×D₁₃	—	2	8	no	—
878	C₄×D₁₃	—	2	2	no	—
879	C₄×D₁₃	—	2	2	no	—
880	C₄×D₁₃	—	2	8	no	—
881	C₄×D₁₃	—	2	8	no	—
882	C₄×D₁₃	—	2	2	no	—
883	C₄×D₁₃	—	2	8	no	—
884	C₄×D₁₃	—	2	8	no	—
885	C₄×D₁₃	—	2	2	no	—
886	C₄×D₁₃	—	2	8	no	—
887	C₄×D₁₃	—	4	4	no	—
888	C₄×D₁₃	—	4	4	no	—
889	C₄×D₁₃	—	4	4	no	—
890	C₄×D₁₃	—	4	1	no	—
891	C₄×D₁₃	—	4	1	no	—
892	C₄×D₁₃	—	4	8	no	—
893	C₄×D₁₃	—	4	8	no	—
894	C₄×D₁₃	C₂×#41	1	4	yes	—
895	C₄×D₁₃	C₂×#41	1	4	yes	—
896	C₄×D₁₃	C₂×#41	1	4	yes	complemented
897	C₄×D₁₃	C₂×#41	1	4	yes	complemented
898	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	—
899	Dic₂₆	—	2	4	no	—
900	Dic₂₆	—	2	4	no	—
901	Dic₂₆	—	2	8	no	—
902	Dic₂₆	—	2	8	no	—
903	Dic₂₆	—	4	4	no	—
904	Dic₂₆	—	4	2	no	—
905	C₂²×#41	—	13	2	no	—
906	C₂²×#41	—	13	4	no	—
907	C₂³×D₄	—	13	1	no	—
908	C₂⁴×C₄	—	13	2	no	—
909	#559	—	13	4	no	—
910	#559	—	13	4	no	—
911	#559	—	13	4	no	—
912	#559	—	13	8	no	—
913	#559	—	13	8	no	—
914	#559	—	13	8	no	—
915	#559	—	13	4	no	—
916	#559	—	13	4	no	—
917	#559	—	13	4	no	—
918	#559	—	13	8	no	—
919	#559	—	13	4	no	—
920	#559	C₂×D₁₃	1	4	yes	complemented
921	#556	—	13	2	no	—
922	#556	—	13	8	no	—
923	#556	—	13	4	no	—
924	#556	—	13	4	no	—
925	#556	—	13	4	no	—
926	#556	—	13	2	no	—
927	#556	—	13	2	no	—
928	#556	—	13	4	no	—
929	#556	C₂×D₁₃	1	2	yes	complemented
930	#555	—	13	2	no	—
931	#555	—	13	8	no	—
932	#555	—	13	4	no	—
933	#555	—	13	4	no	—
934	#555	—	13	2	no	—
935	#555	—	13	2	no	—
936	#555	—	13	4	no	—
937	#555	—	13	4	no	—
938	#555	C₂×D₁₃	1	2	yes	complemented
939	#553	—	13	8	no	—
940	#553	—	13	4	no	—
941	#553	—	13	8	no	—
942	#553	—	13	4	no	—
943	#553	—	13	4	no	—
944	#553	—	13	8	no	—
945	#553	—	13	4	no	—
946	#553	—	13	8	no	—
947	#553	—	13	4	no	—
948	#553	—	13	4	no	—
949	#553	—	13	4	no	—
950	#553	C₂×D₁₃	1	4	yes	complemented
951	#550	—	13	4	no	—
952	#550	—	13	4	no	—
953	#550	—	13	2	no	—
954	#550	—	13	4	no	—
955	#550	—	13	8	no	—
956	#550	—	13	2	no	—
957	#550	—	13	2	no	—
958	#550	—	13	4	no	—
959	#550	C₂×D₁₃	1	2	yes	complemented
960	#547	—	13	4	no	—
961	#547	—	13	2	no	—
962	#547	—	13	8	no	—
963	#547	—	13	4	no	—
964	#547	—	13	4	no	—
965	#547	—	13	2	no	—
966	#547	—	13	2	no	—
967	#547	—	13	4	no	—
968	#547	C₂×D₁₃	1	2	yes	complemented
969	#538	—	13	8	no	—
970	#538	—	13	8	no	—
971	#538	—	13	8	no	—
972	#538	—	13	4	no	—
973	#538	—	13	4	no	—
974	#538	—	13	8	no	—
975	#538	—	13	8	no	—
976	#538	—	13	8	no	—
977	#538	—	13	4	no	—
978	#538	C₂×D₁₃	1	4	yes	complemented
979	#535	—	13	2	no	—
980	#535	—	13	2	no	—
981	#535	—	13	4	no	—
982	#535	—	13	4	no	—
983	#535	—	13	4	no	—
984	#535	—	13	4	no	—
985	#535	—	13	8	no	—
986	#535	—	13	2	no	—
987	#535	C₂×D₁₃	1	2	yes	complemented
988	#533	—	13	1	no	—
989	#533	—	13	1	no	—
990	#533	—	13	2	no	—
991	#533	—	13	2	no	—
992	#533	—	13	2	no	—
993	#533	—	13	2	no	—
994	#533	—	13	2	no	—
995	#533	—	13	2	no	—
996	#533	—	13	1	no	—
997	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#532	—	13	2	no	—
999	#532	—	13	1	no	—
1000	#532	—	13	1	no	—
1001	#532	—	13	2	no	—
1002	#532	—	13	2	no	—
1003	#532	—	13	2	no	—
1004	#532	—	13	2	no	—
1005	#532	—	13	2	no	—
1006	#532	—	13	1	no	—
1007	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	C₂×C₄⋊Q₈	—	13	1	no	—
1009	C₂×C₄⋊Q₈	—	13	1	no	—
1010	C₂×C₄⋊Q₈	—	13	1	no	—
1011	C₂×#127	—	13	4	no	—
1012	C₂×#127	—	13	1	no	—
1013	C₂×#126	—	13	8	no	—
1014	C₂×#125	—	13	2	no	—
1015	C₂×#124	—	13	4	no	—
1016	C₂×#124	—	13	2	no	—
1017	C₂×#124	—	13	8	no	—
1018	#525	—	13	4	no	—
1019	#525	—	13	4	no	—
1020	#525	—	13	8	no	—
1021	#525	—	13	4	no	—
1022	#525	—	13	4	no	—
1023	#525	—	13	4	no	—
1024	#525	—	13	4	no	—
1025	#525	—	13	8	no	—
1026	#525	—	13	8	no	—
1027	#525	—	13	8	no	—
1028	#525	—	13	4	no	—
1029	#525	C₂×D₁₃	1	4	yes	complemented
1030	C₂×#123	—	13	8	no	—
1031	C₂×#123	—	13	8	no	—
1032	C₂×C₂²⋊Q₈	—	13	2	no	—
1033	C₂×C₂²⋊Q₈	—	13	2	no	—
1034	C₂×C₂²⋊Q₈	—	13	4	no	—
1035	C₂×#121	—	13	2	no	—
1036	C₂×#121	—	13	2	no	—
1037	C₂×#121	—	13	4	no	—
1038	C₂×#121	—	13	4	no	—
1039	C₂×#121	—	13	4	no	—
1040	C₂×#121	—	13	8	no	—
1041	C₂×#120	—	13	8	no	—
1042	#520	—	13	2	no	—
1043	#520	—	13	4	no	—
1044	#520	—	13	8	no	—
1045	#520	—	13	4	no	—
1046	#520	—	13	2	no	—
1047	#520	—	13	4	no	—
1048	#520	—	13	2	no	—
1049	#520	—	13	4	no	—
1050	#520	C₂×D₁₃	1	2	yes	complemented
1051	C₂×C₄×Q₈	—	13	4	no	—
1052	C₂×C₄×Q₈	—	13	2	no	—
1053	C₂×C₄×Q₈	—	13	2	no	—
1054	C₂×C₄×D₄	—	13	1	no	—
1055	C₂×C₄×D₄	—	13	2	no	—
1056	C₂×C₄×D₄	—	13	2	no	—
1057	C₂×C₄×D₄	—	13	2	no	—
1058	C₂×C₄×D₄	—	13	2	no	—
1059	C₂×C₄×D₄	—	13	2	no	—
1060	C₂×C₄×D₄	—	13	8	no	—
1061	C₂×C₄×D₄	—	13	2	no	—
1062	C₂×C₄×D₄	—	13	2	no	—
1063	C₂×C₄×D₄	—	13	2	no	—
1064	C₂×C₄×D₄	—	13	2	no	—
1065	C₂×C₄×D₄	—	13	4	no	—
1066	C₂×C₄×D₄	—	13	8	no	—
1067	C₂×C₄×D₄	—	13	2	no	—
1068	C₂×C₄×D₄	—	13	2	no	—
1069	C₂×C₄×D₄	—	13	1	no	—
1070	C₂×C₄×D₄	—	13	2	no	—
1071	C₂×C₄×D₄	—	13	1	no	—
1072	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	C₂×#117	—	13	2	no	—
1074	C₂×#117	—	13	4	no	—
1075	C₂×#117	—	13	4	no	—
1076	C₂²×C₄⋊C₄	—	13	1	no	—
1077	C₂²×C₄⋊C₄	—	13	4	no	—
1078	C₂²×C₂²⋊C₄	—	13	2	no	—
1079	C₂²×C₄²	—	13	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	4	no	—
1083	C₂²×C₁₃	—	2	4	no	—
1084	C₂²×C₁₃	—	2	4	no	—
1085	C₂²×C₁₃	—	2	4	no	—
1086	C₂²×C₁₃	—	2	4	no	—
1087	C₂²×C₁₃	—	2	4	no	—
1088	C₂²×C₁₃	—	4	8	no	—
1089	C₂²×C₁₃	C₂²×#41	1	2	yes	—
1090	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	2	1	no	—
1093	C₂×D₁₃	—	2	8	no	—
1094	C₂×D₁₃	—	2	4	no	—
1095	C₂×D₁₃	—	2	4	no	—
1096	C₂×D₁₃	—	2	4	no	—
1097	C₂×D₁₃	—	2	4	no	—
1098	C₂×D₁₃	—	2	4	no	—
1099	C₂×D₁₃	—	2	4	no	—
1100	C₂×D₁₃	—	4	16	no	—
1101	C₂×D₁₃	—	4	8	no	—
1102	C₂×D₁₃	—	4	16	no	—
1103	C₂×D₁₃	—	4	16	no	—
1104	C₂×D₁₃	C₂²×#41	1	2	yes	—
1105	C₂×D₁₃	C₂²×#41	1	2	yes	—
1106	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1107	C₂×D₁₃	#585	1	2	yes	—
1108	C₄×C₁₃	—	2	4	no	—
1109	C₄×C₁₃	—	2	4	no	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	4	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	2	4	no	—
1114	C₄×C₁₃	—	2	1	no	—
1115	C₄×C₁₃	C₂²×#41	1	2	yes	—
1116	C₄×C₁₃	C₂²×#41	1	2	yes	—
1117	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1118	Dic₁₃	—	2	4	no	—
1119	Dic₁₃	—	2	4	no	—
1120	Dic₁₃	—	2	1	no	—
1121	Dic₁₃	—	2	4	no	—
1122	Dic₁₃	—	2	1	no	—
1123	Dic₁₃	—	2	4	no	—
1124	Dic₁₃	—	2	1	no	—
1125	Dic₁₃	C₂²×#41	1	2	yes	—
1126	Dic₁₃	C₂²×#41	1	2	yes	—
1127	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1128	C₂⁵	—	13	2	no	—
1129	C₂×#41	—	13	2	no	—
1130	C₂×#41	—	13	4	no	—
1131	C₂×#41	—	13	4	no	—
1132	C₂×#41	—	13	2	no	—
1133	C₂×#41	—	13	8	no	—
1134	C₂×#41	—	13	4	no	—
1135	C₂×#41	—	13	4	no	—
1136	C₂×#41	—	13	2	no	—
1137	C₂×#41	—	13	8	no	—
1138	C₂×#41	—	13	4	no	—
1139	C₂×#41	—	26	16	no	—
1140	C₂×#41	—	52	16	no	—
1141	C₂×#41	C₂²×D₁₃	1	2	yes	—
1142	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
1143	C₂²×Q₈	—	13	2	no	—
1144	C₂²×Q₈	—	13	2	no	—
1145	C₂²×Q₈	—	13	2	no	—
1146	C₂²×D₄	—	13	2	no	—
1147	C₂²×D₄	—	13	4	no	—
1148	C₂²×D₄	—	13	2	no	—
1149	C₂²×D₄	—	13	2	no	—
1150	C₂²×D₄	—	13	2	no	—
1151	C₂²×D₄	—	13	2	no	—
1152	C₂²×D₄	—	13	2	no	—
1153	C₂²×D₄	—	13	2	no	—
1154	C₂²×D₄	—	13	8	no	—
1155	C₂²×D₄	—	13	2	no	—
1156	C₂²×D₄	—	13	8	no	—
1157	C₂²×D₄	—	13	1	no	—
1158	C₂²×D₄	—	26	8	no	—
1159	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂³×C₄	—	13	1	no	—
1161	C₂³×C₄	—	13	2	no	—
1162	C₂³×C₄	—	13	4	no	—
1163	C₂³×C₄	—	13	4	no	—
1164	C₂³×C₄	—	13	1	no	—
1165	C₂³×C₄	—	13	1	no	—
1166	C₂³×C₄	—	13	2	no	—
1167	C₂³×C₄	—	13	8	no	—
1168	C₂³×C₄	—	13	4	no	—
1169	C₂³×C₄	—	13	2	no	—
1170	C₂³×C₄	—	13	4	no	—
1171	C₂³×C₄	—	13	2	no	—
1172	C₂³×C₄	—	13	4	no	—
1173	C₂³×C₄	—	52	8	no	—
1174	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1175	C₄⋊Q₈	—	13	2	no	—
1176	C₄⋊Q₈	—	13	2	no	—
1177	C₄⋊Q₈	—	13	2	no	—
1178	C₄⋊Q₈	—	13	2	no	—
1179	C₄⋊Q₈	—	13	2	no	—
1180	C₄⋊Q₈	—	13	2	no	—
1181	C₄⋊Q₈	—	13	2	no	—
1182	C₄⋊Q₈	—	13	2	no	—
1183	C₄⋊Q₈	—	13	2	no	—
1184	C₄⋊Q₈	—	13	1	no	—
1185	C₄⋊Q₈	—	13	1	no	—
1186	C₄⋊Q₈	—	13	1	no	—
1187	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1188	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1189	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1190	#127	—	13	2	no	—
1191	#127	—	13	2	no	—
1192	#127	—	13	2	no	—
1193	#127	—	13	8	no	—
1194	#127	—	13	8	no	—
1195	#127	—	13	4	no	—
1196	#127	—	13	4	no	—
1197	#127	—	13	1	no	—
1198	#127	—	13	4	no	—
1199	#127	C₂²×D₁₃	1	4	yes	—
1200	#127	C₂²×D₁₃	1	1	yes	characteristic, complemented
1201	#126	—	13	8	no	—
1202	#126	—	13	8	no	—
1203	#126	—	13	8	no	—
1204	#126	—	13	8	no	—
1205	#126	—	13	8	no	—
1206	#126	—	13	8	no	—
1207	#126	—	13	8	no	—
1208	#126	C₂²×D₁₃	1	8	yes	complemented
1209	#125	—	13	4	no	—
1210	#125	—	13	4	no	—
1211	#125	—	13	2	no	—
1212	#125	—	13	2	no	—
1213	#125	—	13	2	no	—
1214	#125	C₂²×D₁₃	1	2	yes	complemented
1215	#124	—	13	2	no	—
1216	#124	—	13	4	no	—
1217	#124	—	13	8	no	—
1218	#124	—	13	2	no	—
1219	#124	—	13	4	no	—
1220	#124	—	13	8	no	—
1221	#124	—	13	4	no	—
1222	#124	—	13	4	no	—
1223	#124	—	13	8	no	—
1224	#124	—	13	8	no	—
1225	#124	—	13	8	no	—
1226	#124	—	13	8	no	—
1227	#124	—	13	8	no	—
1228	#124	—	13	8	no	—
1229	#124	—	13	2	no	—
1230	#124	—	13	4	no	—
1231	#124	—	13	8	no	—
1232	#124	C₂²×D₁₃	1	4	yes	—
1233	#124	C₂²×D₁₃	1	2	yes	complemented
1234	#124	C₂²×D₁₃	1	8	yes	complemented
1235	#123	—	13	8	no	—
1236	#123	—	13	8	no	—
1237	#123	—	13	8	no	—
1238	#123	—	13	8	no	—
1239	#123	—	13	8	no	—
1240	#123	—	13	8	no	—
1241	#123	—	13	8	no	—
1242	#123	—	13	8	no	—
1243	#123	—	13	8	no	—
1244	#123	—	13	8	no	—
1245	#123	—	13	8	no	—
1246	#123	—	13	8	no	—
1247	#123	—	13	8	no	—
1248	#123	—	13	8	no	—
1249	#123	C₂²×D₁₃	1	8	yes	complemented
1250	#123	C₂²×D₁₃	1	8	yes	complemented
1251	C₂²⋊Q₈	—	13	2	no	—
1252	C₂²⋊Q₈	—	13	4	no	—
1253	C₂²⋊Q₈	—	13	2	no	—
1254	C₂²⋊Q₈	—	13	2	no	—
1255	C₂²⋊Q₈	—	13	4	no	—
1256	C₂²⋊Q₈	—	13	2	no	—
1257	C₂²⋊Q₈	—	13	4	no	—
1258	C₂²⋊Q₈	—	13	2	no	—
1259	C₂²⋊Q₈	—	13	8	no	—
1260	C₂²⋊Q₈	—	13	4	no	—
1261	C₂²⋊Q₈	—	13	4	no	—
1262	C₂²⋊Q₈	—	13	2	no	—
1263	C₂²⋊Q₈	—	13	4	no	—
1264	C₂²⋊Q₈	—	13	8	no	—
1265	C₂²⋊Q₈	—	13	4	no	—
1266	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1267	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1268	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1269	#121	—	13	2	no	—
1270	#121	—	13	4	no	—
1271	#121	—	13	4	no	—
1272	#121	—	13	8	no	—
1273	#121	—	13	2	no	—
1274	#121	—	13	4	no	—
1275	#121	—	13	4	no	—
1276	#121	—	13	8	no	—
1277	#121	—	13	4	no	—
1278	#121	—	13	8	no	—
1279	#121	—	13	8	no	—
1280	#121	—	13	8	no	—
1281	#121	—	13	8	no	—
1282	#121	—	13	2	no	—
1283	#121	—	13	4	no	—
1284	#121	—	13	2	no	—
1285	#121	—	13	4	no	—
1286	#121	—	13	4	no	—
1287	#121	—	13	8	no	—
1288	#121	—	13	2	no	—
1289	#121	—	13	4	no	—
1290	#121	—	13	2	no	—
1291	#121	—	13	4	no	—
1292	#121	—	13	4	no	—
1293	#121	—	13	8	no	—
1294	#121	—	13	4	no	—
1295	#121	—	13	8	no	—
1296	#121	—	13	4	no	—
1297	#121	—	13	8	no	—
1298	#121	—	13	8	no	—
1299	#121	—	13	8	no	—
1300	#121	—	13	8	no	—
1301	#121	C₂²×D₁₃	1	2	yes	—
1302	#121	C₂²×D₁₃	1	2	yes	—
1303	#121	C₂²×D₁₃	1	4	yes	—
1304	#121	C₂²×D₁₃	1	4	yes	—
1305	#121	C₂²×D₁₃	1	4	yes	complemented
1306	#121	C₂²×D₁₃	1	8	yes	complemented
1307	#120	—	13	8	no	—
1308	#120	—	13	8	no	—
1309	#120	—	13	8	no	—
1310	#120	—	13	8	no	—
1311	#120	—	13	8	no	—
1312	#120	—	13	8	no	—
1313	#120	—	13	8	no	—
1314	#120	C₂²×D₁₃	1	8	yes	—
1315	C₄×Q₈	—	13	4	no	—
1316	C₄×Q₈	—	13	2	no	—
1317	C₄×Q₈	—	13	2	no	—
1318	C₄×Q₈	—	13	8	no	—
1319	C₄×Q₈	—	13	4	no	—
1320	C₄×Q₈	—	13	4	no	—
1321	C₄×Q₈	—	13	2	no	—
1322	C₄×Q₈	—	13	2	no	—
1323	C₄×Q₈	—	13	4	no	—
1324	C₄×Q₈	—	13	4	no	—
1325	C₄×Q₈	—	13	8	no	—
1326	C₄×Q₈	—	13	4	no	—
1327	C₄×Q₈	—	13	2	no	—
1328	C₄×Q₈	—	13	4	no	—
1329	C₄×Q₈	—	13	2	no	—
1330	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
1331	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1332	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1333	C₄×D₄	—	13	2	no	—
1334	C₄×D₄	—	13	2	no	—
1335	C₄×D₄	—	13	2	no	—
1336	C₄×D₄	—	13	2	no	—
1337	C₄×D₄	—	13	8	no	—
1338	C₄×D₄	—	13	4	no	—
1339	C₄×D₄	—	13	8	no	—
1340	C₄×D₄	—	13	2	no	—
1341	C₄×D₄	—	13	2	no	—
1342	C₄×D₄	—	13	4	no	—
1343	C₄×D₄	—	13	4	no	—
1344	C₄×D₄	—	13	4	no	—
1345	C₄×D₄	—	13	4	no	—
1346	C₄×D₄	—	13	8	no	—
1347	C₄×D₄	—	13	8	no	—
1348	C₄×D₄	—	13	8	no	—
1349	C₄×D₄	—	13	8	no	—
1350	C₄×D₄	—	13	8	no	—
1351	C₄×D₄	—	13	4	no	—
1352	C₄×D₄	—	13	4	no	—
1353	C₄×D₄	—	13	2	no	—
1354	C₄×D₄	—	13	2	no	—
1355	C₄×D₄	—	13	2	no	—
1356	C₄×D₄	—	13	2	no	—
1357	C₄×D₄	—	13	8	no	—
1358	C₄×D₄	—	13	4	no	—
1359	C₄×D₄	—	13	8	no	—
1360	C₄×D₄	—	13	2	no	—
1361	C₄×D₄	—	13	2	no	—
1362	C₄×D₄	—	13	4	no	—
1363	C₄×D₄	—	13	4	no	—
1364	C₄×D₄	—	13	4	no	—
1365	C₄×D₄	—	13	4	no	—
1366	C₄×D₄	—	13	8	no	—
1367	C₄×D₄	—	13	8	no	—
1368	C₄×D₄	—	13	8	no	—
1369	C₄×D₄	—	13	8	no	—
1370	C₄×D₄	—	13	8	no	—
1371	C₄×D₄	—	13	4	no	—
1372	C₄×D₄	—	13	4	no	—
1373	C₄×D₄	—	13	2	no	—
1374	C₄×D₄	—	13	2	no	—
1375	C₄×D₄	—	13	2	no	—
1376	C₄×D₄	—	13	2	no	—
1377	C₄×D₄	—	13	8	no	—
1378	C₄×D₄	—	13	4	no	—
1379	C₄×D₄	—	13	8	no	—
1380	C₄×D₄	—	13	2	no	—
1381	C₄×D₄	—	13	2	no	—
1382	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1383	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1384	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1385	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1386	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1387	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1388	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1389	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1390	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1391	#117	—	13	2	no	—
1392	#117	—	13	4	no	—
1393	#117	—	13	4	no	—
1394	#117	—	13	2	no	—
1395	#117	—	13	2	no	—
1396	#117	—	13	4	no	—
1397	#117	—	13	4	no	—
1398	#117	—	13	4	no	—
1399	#117	—	13	4	no	—
1400	#117	—	13	4	no	—
1401	#117	—	13	8	no	—
1402	#117	—	13	8	no	—
1403	#117	—	13	4	no	—
1404	#117	—	13	8	no	—
1405	#117	—	13	8	no	—
1406	#117	C₂²×D₁₃	1	2	yes	—
1407	#117	C₂²×D₁₃	1	4	yes	complemented
1408	#117	C₂²×D₁₃	1	4	yes	complemented
1409	C₂×C₄⋊C₄	—	13	2	no	—
1410	C₂×C₄⋊C₄	—	13	1	no	—
1411	C₂×C₄⋊C₄	—	13	8	no	—
1412	C₂×C₄⋊C₄	—	13	4	no	—
1413	C₂×C₄⋊C₄	—	13	2	no	—
1414	C₂×C₄⋊C₄	—	13	2	no	—
1415	C₂×C₄⋊C₄	—	13	2	no	—
1416	C₂×C₄⋊C₄	—	13	2	no	—
1417	C₂×C₄⋊C₄	—	13	2	no	—
1418	C₂×C₄⋊C₄	—	13	8	no	—
1419	C₂×C₄⋊C₄	—	13	8	no	—
1420	C₂×C₄⋊C₄	—	13	4	no	—
1421	C₂×C₄⋊C₄	—	13	4	no	—
1422	C₂×C₄⋊C₄	—	13	2	no	—
1423	C₂×C₄⋊C₄	—	13	2	no	—
1424	C₂×C₄⋊C₄	—	13	2	no	—
1425	C₂×C₄⋊C₄	—	13	4	no	—
1426	C₂×C₄⋊C₄	—	13	2	no	—
1427	C₂×C₄⋊C₄	—	13	4	no	—
1428	C₂×C₄⋊C₄	—	13	2	no	—
1429	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1430	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1431	C₂×C₂²⋊C₄	—	13	2	no	—
1432	C₂×C₂²⋊C₄	—	13	2	no	—
1433	C₂×C₂²⋊C₄	—	13	2	no	—
1434	C₂×C₂²⋊C₄	—	13	4	no	—
1435	C₂×C₂²⋊C₄	—	13	4	no	—
1436	C₂×C₂²⋊C₄	—	13	4	no	—
1437	C₂×C₂²⋊C₄	—	13	4	no	—
1438	C₂×C₂²⋊C₄	—	13	4	no	—
1439	C₂×C₂²⋊C₄	—	13	8	no	—
1440	C₂×C₂²⋊C₄	—	13	8	no	—
1441	C₂×C₂²⋊C₄	—	13	4	no	—
1442	C₂×C₂²⋊C₄	—	13	8	no	—
1443	C₂×C₂²⋊C₄	—	13	4	no	—
1444	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1445	C₂×C₄²	—	13	1	no	—
1446	C₂×C₄²	—	13	1	no	—
1447	C₂×C₄²	—	13	1	no	—
1448	C₂×C₄²	—	13	8	no	—
1449	C₂×C₄²	—	13	4	no	—
1450	C₂×C₄²	—	13	1	no	—
1451	C₂×C₄²	—	13	1	no	—
1452	C₂×C₄²	—	13	1	no	—
1453	C₂×C₄²	—	13	1	no	—
1454	C₂×C₄²	—	13	1	no	—
1455	C₂×C₄²	—	13	1	no	—
1456	C₂×C₄²	—	13	1	no	—
1457	C₂×C₄²	—	13	1	no	—
1458	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1459	C₂×C₁₃	—	2	2	no	—
1460	C₂×C₁₃	—	4	4	no	—
1461	C₂×C₁₃	—	4	4	no	—
1462	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1463	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1464	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1465	D₁₃	—	2	2	no	—
1466	D₁₃	—	4	4	no	—
1467	D₁₃	—	4	4	no	—
1468	D₁₃	#3506	1	4	yes	direct product factor
1469	C₂⁴	—	13	1	no	—
1470	C₂⁴	—	13	4	no	—
1471	C₂⁴	—	13	4	no	—
1472	C₂⁴	—	13	4	no	—
1473	C₂⁴	—	13	2	no	—
1474	C₂⁴	—	26	8	no	—
1475	C₂⁴	—	52	4	no	—
1476	C₂⁴	—	52	4	no	—
1477	C₂⁴	C₂³×D₁₃	1	2	yes	—
1478	#41	—	2	8	no	—
1479	#41	—	4	8	no	—
1480	#41	—	26	16	no	—
1481	#41	—	26	16	no	—
1482	#41	—	26	8	no	—
1483	#41	—	26	8	no	—
1484	#41	—	26	8	no	—
1485	#41	—	52	8	no	—
1486	#41	—	52	16	no	—
1487	#41	—	52	8	no	—
1488	#41	—	52	16	no	—
1489	#41	—	52	8	no	—
1490	C₂×Q₈	—	13	4	no	—
1491	C₂×Q₈	—	13	2	no	—
1492	C₂×Q₈	—	13	4	no	—
1493	C₂×Q₈	—	13	2	no	—
1494	C₂×Q₈	—	13	2	no	—
1495	C₂×Q₈	—	13	4	no	—
1496	C₂×Q₈	—	26	8	no	—
1497	C₂×Q₈	—	26	8	no	—
1498	C₂×Q₈	—	52	4	no	—
1499	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1500	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1501	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1502	C₂×D₄	—	2	4	no	—
1503	C₂×D₄	—	13	4	no	—
1504	C₂×D₄	—	13	4	no	—
1505	C₂×D₄	—	13	4	no	—
1506	C₂×D₄	—	13	4	no	—
1507	C₂×D₄	—	13	4	no	—
1508	C₂×D₄	—	13	4	no	—
1509	C₂×D₄	—	13	8	no	—
1510	C₂×D₄	—	13	8	no	—
1511	C₂×D₄	—	13	4	no	—
1512	C₂×D₄	—	13	8	no	—
1513	C₂×D₄	—	13	8	no	—
1514	C₂×D₄	—	13	4	no	—
1515	C₂×D₄	—	13	2	no	—
1516	C₂×D₄	—	13	2	no	—
1517	C₂×D₄	—	13	2	no	—
1518	C₂×D₄	—	13	2	no	—
1519	C₂×D₄	—	13	8	no	—
1520	C₂×D₄	—	13	2	no	—
1521	C₂×D₄	—	13	8	no	—
1522	C₂×D₄	—	26	8	no	—
1523	C₂×D₄	—	26	8	no	—
1524	C₂×D₄	—	26	8	no	—
1525	C₂×D₄	—	26	8	no	—
1526	C₂×D₄	—	26	8	no	—
1527	C₂×D₄	—	26	8	no	—
1528	C₂×D₄	—	26	8	no	—
1529	C₂×D₄	—	26	16	no	—
1530	C₂×D₄	—	26	4	no	—
1531	C₂×D₄	—	52	16	no	—
1532	C₂×D₄	—	52	4	no	—
1533	C₂×D₄	—	52	16	no	—
1534	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1535	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1536	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1537	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1538	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1539	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1540	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1541	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1542	C₂²×C₄	—	4	4	no	—
1543	C₂²×C₄	—	13	1	no	—
1544	C₂²×C₄	—	13	8	no	—
1545	C₂²×C₄	—	13	1	no	—
1546	C₂²×C₄	—	13	1	no	—
1547	C₂²×C₄	—	13	1	no	—
1548	C₂²×C₄	—	13	1	no	—
1549	C₂²×C₄	—	13	1	no	—
1550	C₂²×C₄	—	13	1	no	—
1551	C₂²×C₄	—	13	4	no	—
1552	C₂²×C₄	—	13	4	no	—
1553	C₂²×C₄	—	13	1	no	—
1554	C₂²×C₄	—	13	2	no	—
1555	C₂²×C₄	—	13	8	no	—
1556	C₂²×C₄	—	13	4	no	—
1557	C₂²×C₄	—	13	4	no	—
1558	C₂²×C₄	—	13	1	no	—
1559	C₂²×C₄	—	13	4	no	—
1560	C₂²×C₄	—	13	1	no	—
1561	C₂²×C₄	—	13	4	no	—
1562	C₂²×C₄	—	13	1	no	—
1563	C₂²×C₄	—	13	1	no	—
1564	C₂²×C₄	—	13	1	no	—
1565	C₂²×C₄	—	13	4	no	—
1566	C₂²×C₄	—	13	4	no	—
1567	C₂²×C₄	—	13	4	no	—
1568	C₂²×C₄	—	13	4	no	—
1569	C₂²×C₄	—	13	4	no	—
1570	C₂²×C₄	—	13	1	no	—
1571	C₂²×C₄	—	13	1	no	—
1572	C₂²×C₄	—	13	4	no	—
1573	C₂²×C₄	—	13	8	no	—
1574	C₂²×C₄	—	13	8	no	—
1575	C₂²×C₄	—	13	4	no	—
1576	C₂²×C₄	—	13	4	no	—
1577	C₂²×C₄	—	26	4	no	—
1578	C₂²×C₄	—	26	16	no	—
1579	C₂²×C₄	—	26	16	no	—
1580	C₂²×C₄	—	52	4	no	—
1581	C₂²×C₄	—	52	8	no	—
1582	C₂²×C₄	—	52	8	no	—
1583	C₂²×C₄	—	52	4	no	—
1584	C₂²×C₄	—	52	4	no	—
1585	C₂²×C₄	—	52	8	no	—
1586	C₂²×C₄	—	52	16	no	—
1587	C₂²×C₄	—	52	2	no	—
1588	C₂²×C₄	—	52	4	no	—
1589	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1590	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1591	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1592	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1594	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1595	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1596	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1597	C₄⋊C₄	—	13	4	no	—
1598	C₄⋊C₄	—	13	2	no	—
1599	C₄⋊C₄	—	13	4	no	—
1600	C₄⋊C₄	—	13	2	no	—
1601	C₄⋊C₄	—	13	4	no	—
1602	C₄⋊C₄	—	13	2	no	—
1603	C₄⋊C₄	—	13	8	no	—
1604	C₄⋊C₄	—	13	8	no	—
1605	C₄⋊C₄	—	13	8	no	—
1606	C₄⋊C₄	—	13	4	no	—
1607	C₄⋊C₄	—	13	2	no	—
1608	C₄⋊C₄	—	13	4	no	—
1609	C₄⋊C₄	—	13	2	no	—
1610	C₄⋊C₄	—	13	4	no	—
1611	C₄⋊C₄	—	13	2	no	—
1612	C₄⋊C₄	—	13	4	no	—
1613	C₄⋊C₄	—	13	4	no	—
1614	C₄⋊C₄	—	13	4	no	—
1615	C₄⋊C₄	—	13	4	no	—
1616	C₄⋊C₄	—	13	2	no	—
1617	C₄⋊C₄	—	13	4	no	—
1618	C₄⋊C₄	—	13	4	no	—
1619	C₄⋊C₄	—	13	4	no	—
1620	C₄⋊C₄	—	13	4	no	—
1621	C₄⋊C₄	—	13	2	no	—
1622	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1623	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1624	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1625	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1626	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1627	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1628	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1629	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1630	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1631	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1632	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1633	C₂²⋊C₄	—	13	4	no	—
1634	C₂²⋊C₄	—	13	4	no	—
1635	C₂²⋊C₄	—	13	4	no	—
1636	C₂²⋊C₄	—	13	8	no	—
1637	C₂²⋊C₄	—	13	8	no	—
1638	C₂²⋊C₄	—	13	4	no	—
1639	C₂²⋊C₄	—	13	8	no	—
1640	C₂²⋊C₄	—	13	4	no	—
1641	C₂²⋊C₄	—	13	4	no	—
1642	C₂²⋊C₄	—	13	4	no	—
1643	C₂²⋊C₄	—	13	4	no	—
1644	C₂²⋊C₄	—	13	4	no	—
1645	C₂²⋊C₄	—	13	4	no	—
1646	C₂²⋊C₄	—	13	4	no	—
1647	C₂²⋊C₄	—	13	8	no	—
1648	C₂²⋊C₄	—	13	8	no	—
1649	C₂²⋊C₄	—	13	8	no	—
1650	C₂²⋊C₄	—	13	8	no	—
1651	C₂²⋊C₄	—	13	4	no	—
1652	C₂²⋊C₄	—	13	4	no	—
1653	C₂²⋊C₄	—	13	8	no	—
1654	C₂²⋊C₄	—	13	8	no	—
1655	C₂²⋊C₄	—	13	4	no	—
1656	C₂²⋊C₄	—	13	4	no	—
1657	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1658	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1659	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1660	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1661	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1662	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1663	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1664	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1665	C₄²	—	13	1	no	—
1666	C₄²	—	13	1	no	—
1667	C₄²	—	13	1	no	—
1668	C₄²	—	13	1	no	—
1669	C₄²	—	13	1	no	—
1670	C₄²	—	13	1	no	—
1671	C₄²	—	13	1	no	—
1672	C₄²	—	13	1	no	—
1673	C₄²	—	13	1	no	—
1674	C₄²	—	13	1	no	—
1675	C₄²	—	13	1	no	—
1676	C₄²	—	13	1	no	—
1677	C₄²	—	13	8	no	—
1678	C₄²	—	13	8	no	—
1679	C₄²	—	13	8	no	—
1680	C₄²	—	13	4	no	—
1681	C₄²	—	13	4	no	—
1682	C₄²	—	13	4	no	—
1683	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1684	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1685	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1686	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1687	C₄²	C₂³×D₁₃	1	8	yes	—
1688	C₄²	C₂³×D₁₃	1	4	yes	—
1689	C₁₃	C₂×#3506	1	1	yes	characteristic, complemented, Sylow
1690	C₂³	—	2	4	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	13	1	no	—
1694	C₂³	—	13	4	no	—
1695	C₂³	—	13	1	no	—
1696	C₂³	—	13	4	no	—
1697	C₂³	—	13	4	no	—
1698	C₂³	—	26	2	no	—
1699	C₂³	—	26	2	no	—
1700	C₂³	—	26	8	no	—
1701	C₂³	—	26	8	no	—
1702	C₂³	—	26	8	no	—
1703	C₂³	—	26	8	no	—
1704	C₂³	—	26	8	no	—
1705	C₂³	—	26	8	no	—
1706	C₂³	—	26	8	no	—
1707	C₂³	—	26	4	no	—
1708	C₂³	—	52	2	no	—
1709	C₂³	—	52	4	no	—
1710	C₂³	—	52	2	no	—
1711	C₂³	—	52	4	no	—
1712	C₂³	—	52	32	no	—
1713	C₂³	C₂⁴×D₁₃	1	4	yes	—
1714	C₂³	C₂⁴×D₁₃	1	4	yes	—
1715	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1716	Q₈	—	2	4	no	—
1717	Q₈	—	2	4	no	—
1718	Q₈	—	4	2	no	—
1719	Q₈	—	26	8	no	—
1720	Q₈	—	26	8	no	—
1721	Q₈	—	26	4	no	—
1722	Q₈	—	26	4	no	—
1723	Q₈	—	52	2	no	—
1724	Q₈	—	52	4	no	—
1725	D₄	—	2	8	no	—
1726	D₄	—	2	4	no	—
1727	D₄	—	2	4	no	—
1728	D₄	—	2	4	no	—
1729	D₄	—	2	4	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	8	no	—
1732	D₄	—	4	8	no	—
1733	D₄	—	26	8	no	—
1734	D₄	—	26	8	no	—
1735	D₄	—	26	8	no	—
1736	D₄	—	26	8	no	—
1737	D₄	—	26	8	no	—
1738	D₄	—	26	8	no	—
1739	D₄	—	26	8	no	—
1740	D₄	—	26	4	no	—
1741	D₄	—	26	4	no	—
1742	D₄	—	26	4	no	—
1743	D₄	—	26	4	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	8	no	—
1746	D₄	—	52	8	no	—
1747	D₄	—	52	4	no	—
1748	D₄	—	52	8	no	—
1749	D₄	—	52	8	no	—
1750	D₄	—	52	8	no	—
1751	D₄	—	52	8	no	—
1752	C₂×C₄	—	2	8	no	—
1753	C₂×C₄	—	2	2	no	—
1754	C₂×C₄	—	2	8	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	4	no	—
1757	C₂×C₄	—	4	1	no	—
1758	C₂×C₄	—	4	8	no	—
1759	C₂×C₄	—	13	4	no	—
1760	C₂×C₄	—	13	1	no	—
1761	C₂×C₄	—	13	1	no	—
1762	C₂×C₄	—	13	1	no	—
1763	C₂×C₄	—	13	4	no	—
1764	C₂×C₄	—	13	4	no	—
1765	C₂×C₄	—	13	4	no	—
1766	C₂×C₄	—	13	4	no	—
1767	C₂×C₄	—	13	4	no	—
1768	C₂×C₄	—	13	4	no	—
1769	C₂×C₄	—	13	1	no	—
1770	C₂×C₄	—	13	4	no	—
1771	C₂×C₄	—	13	1	no	—
1772	C₂×C₄	—	13	1	no	—
1773	C₂×C₄	—	13	4	no	—
1774	C₂×C₄	—	13	4	no	—
1775	C₂×C₄	—	26	2	no	—
1776	C₂×C₄	—	26	8	no	—
1777	C₂×C₄	—	26	8	no	—
1778	C₂×C₄	—	26	2	no	—
1779	C₂×C₄	—	26	8	no	—
1780	C₂×C₄	—	26	8	no	—
1781	C₂×C₄	—	26	8	no	—
1782	C₂×C₄	—	26	2	no	—
1783	C₂×C₄	—	26	2	no	—
1784	C₂×C₄	—	26	8	no	—
1785	C₂×C₄	—	26	2	no	—
1786	C₂×C₄	—	26	8	no	—
1787	C₂×C₄	—	26	8	no	—
1788	C₂×C₄	—	26	8	no	—
1789	C₂×C₄	—	26	2	no	—
1790	C₂×C₄	—	26	8	no	—
1791	C₂×C₄	—	52	1	no	—
1792	C₂×C₄	—	52	1	no	—
1793	C₂×C₄	—	52	4	no	—
1794	C₂×C₄	—	52	4	no	—
1795	C₂×C₄	—	52	4	no	—
1796	C₂×C₄	—	52	8	no	—
1797	C₂×C₄	—	52	8	no	—
1798	C₂×C₄	—	52	1	no	—
1799	C₂×C₄	—	52	2	no	—
1800	C₂×C₄	—	52	4	no	—
1801	C₂×C₄	—	52	8	no	—
1802	C₂×C₄	#41×D₁₃	1	4	yes	complemented
1803	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1804	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1806	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1808	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1809	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1810	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1811	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1812	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	4	no	—
1816	C₂²	—	2	4	no	—
1817	C₂²	—	2	4	no	—
1818	C₂²	—	2	4	no	—
1819	C₂²	—	2	4	no	—
1820	C₂²	—	2	4	no	—
1821	C₂²	—	4	8	no	—
1822	C₂²	—	13	2	no	—
1823	C₂²	—	13	2	no	—
1824	C₂²	—	13	2	no	—
1825	C₂²	—	13	2	no	—
1826	C₂²	—	26	8	no	—
1827	C₂²	—	26	1	no	—
1828	C₂²	—	26	1	no	—
1829	C₂²	—	26	4	no	—
1830	C₂²	—	26	4	no	—
1831	C₂²	—	26	4	no	—
1832	C₂²	—	26	4	no	—
1833	C₂²	—	26	4	no	—
1834	C₂²	—	26	4	no	—
1835	C₂²	—	52	8	no	—
1836	C₂²	—	52	16	no	—
1837	C₂²	—	52	16	no	—
1838	C₂²	—	52	16	no	—
1839	C₂²	C₂×#41×D₁₃	1	2	yes	—
1840	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1841	C₄	—	2	4	no	—
1842	C₄	—	2	1	no	—
1843	C₄	—	2	4	no	—
1844	C₄	—	2	4	no	—
1845	C₄	—	2	1	no	—
1846	C₄	—	2	1	no	—
1847	C₄	—	2	4	no	—
1848	C₄	—	13	2	no	—
1849	C₄	—	13	2	no	—
1850	C₄	—	13	2	no	—
1851	C₄	—	26	4	no	—
1852	C₄	—	26	1	no	—
1853	C₄	—	26	4	no	—
1854	C₄	—	26	4	no	—
1855	C₄	—	26	1	no	—
1856	C₄	—	26	1	no	—
1857	C₄	—	26	4	no	—
1858	C₄	C₂×#41×D₁₃	1	2	yes	—
1859	C₄	C₂×#41×D₁₃	1	2	yes	—
1860	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1861	C₂	—	2	2	no	—
1862	C₂	—	4	4	no	—
1863	C₂	—	4	4	no	—
1864	C₂	—	13	4	no	—
1865	C₂	—	26	2	no	—
1866	C₂	—	52	4	no	—
1867	C₂	—	52	4	no	—
1868	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1869	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1870	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3506	C₂
hypercenter	#3506	D₁₃
hypocenter	C₁₃	C₂×#3506
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. #13128690	C₂	semidirect
2. #13128689	C₂	semidirect
3. #13128688	C₂	semidirect
4. #13128687	C₂	semidirect
5. #13128686	C₂	semidirect
6. #13128685	C₂	semidirect
7. #13128684	C₂	semidirect
8. #13128683	C₂	semidirect
9. #13128682	C₂	semidirect
10. #13128681	C₂	semidirect
11. #13128680	C₂	semidirect
12. #13128679	C₂	semidirect
13. #13128678	C₂	semidirect
14. D₁₃×#559	C₂	semidirect
15. D₁₃×#556	C₂	semidirect
16. D₁₃×#555	C₂	semidirect
17. D₁₃×#553	C₂	semidirect
18. D₁₃×#550	C₂	semidirect
19. D₁₃×#547	C₂	semidirect
20. D₁₃×#538	C₂	semidirect
21. D₁₃×#535	C₂	semidirect
22. D₁₃×#533	C₂	semidirect
23. D₁₃×#532	C₂	semidirect
24. D₁₃×#525	C₂	semidirect
25. D₁₃×#520	C₂	semidirect
26. C₂×C₄×D₄×D₁₃	C₂	semidirect
27. C₁₃×#3506	C₂	semidirect
29. C₂×#41×D₁₃	C₂²	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#556	C₂²	semidirect
34. C₁₃×#555	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#550	C₂²	semidirect
37. C₁₃×#547	C₂²	semidirect
38. C₁₃×#538	C₂²	semidirect
39. C₁₃×#535	C₂²	semidirect
40. C₁₃×#533	C₂²	semidirect
41. C₁₃×#532	C₂²	semidirect
42. C₁₃×#525	C₂²	semidirect
43. C₁₃×#520	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. #11719539	C₂²	semidirect
46. #11719537	C₂²	semidirect
47. #11719535	C₂²	semidirect
48. #11719533	C₂²	semidirect
49. #11719532	C₂²	semidirect
50. #11719529	C₂²	semidirect
51. #11719510	C₂²	semidirect
52. C₂×D₄×Dic₁₃	C₂²	semidirect
53. #11719496	C₂²	semidirect
54. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
55. #11719439	C₂²	semidirect
56. #11719437	C₂²	semidirect
57. #11719433	C₂²	semidirect
58. #11719433	C₂²	semidirect
59. #11719431	C₂²	semidirect
60. #11719430	C₂²	semidirect
61. D₁₃×C₄⋊Q₈	C₂²	semidirect
62. D₁₃×C₄⋊Q₈	C₂²	semidirect
63. D₁₃×C₄⋊Q₈	C₂²	semidirect
64. #11719423	C₂²	semidirect
65. #11719423	C₂²	semidirect
66. #11719421	C₂²	semidirect
67. #11719420	C₂²	semidirect
69. D₁₃×#127	C₂²	semidirect
70. #11719418	C₂²	semidirect
71. #11719414	C₂²	semidirect
72. #11719409	C₂²	semidirect
73. D₁₃×#126	C₂²	semidirect
74. #11719407	C₂²	semidirect
75. #11719400	C₂²	semidirect
76. #11719393	C₂²	semidirect
77. D₁₃×#125	C₂²	semidirect
78. #11719386	C₂²	semidirect
79. #11719386	C₂²	semidirect
80. #11719386	C₂²	semidirect
81. #11719383	C₂²	semidirect
82. #11719379	C₂²	semidirect
84. D₁₃×#124	C₂²	semidirect
85. D₁₃×#124	C₂²	semidirect
86. #11719376	C₂²	semidirect
87. #11719375	C₂²	semidirect
88. #11719373	C₂²	semidirect
89. #11719369	C₂²	semidirect
90. #11719369	C₂²	semidirect
91. #11719366	C₂²	semidirect
92. #11719362	C₂²	semidirect
93. #11719361	C₂²	semidirect
94. #11719360	C₂²	semidirect
95. D₁₃×#123	C₂²	semidirect
96. D₁₃×#123	C₂²	semidirect
97. #11719349	C₂²	semidirect
98. #11719346	C₂²	semidirect
99. #11719336	C₂²	semidirect
100. #11719332	C₂²	semidirect
101. #11719332	C₂²	semidirect
104. D₁₃×C₂²⋊Q₈	C₂²	semidirect
105. #11719327	C₂²	semidirect
106. #11719327	C₂²	semidirect
107. #11719323	C₂²	semidirect
108. #11719322	C₂²	semidirect
109. #11719321	C₂²	semidirect
110. #11719321	C₂²	semidirect
111. #11719319	C₂²	semidirect
112. #11719318	C₂²	semidirect
113. #11719316	C₂²	semidirect
114. #11719312	C₂²	semidirect
115. #11719312	C₂²	semidirect
116. #11719311	C₂²	semidirect
117. #11719311	C₂²	semidirect
122. D₁₃×#121	C₂²	semidirect
123. D₁₃×#121	C₂²	semidirect
124. #11719306	C₂²	semidirect
125. #11719304	C₂²	semidirect
126. #11719304	C₂²	semidirect
127. #11719301	C₂²	semidirect
128. #11719301	C₂²	semidirect
129. #11719298	C₂²	semidirect
130. #11719297	C₂²	semidirect
132. #11719291	C₂²	semidirect
133. #11719290	C₂²	semidirect
134. #11719290	C₂²	semidirect
135. #11719289	C₂²	semidirect
136. #11719283	C₂²	semidirect
137. #11719283	C₂²	semidirect
138. #11719282	C₂²	semidirect
139. #11719279	C₂²	semidirect
140. C₄×Q₈×D₁₃	C₂²	semidirect
141. C₄×Q₈×D₁₃	C₂²	semidirect
142. C₄×Q₈×D₁₃	C₂²	semidirect
143. #11719273	C₂²	semidirect
144. #11719270	C₂²	semidirect
145. #11719268	C₂²	semidirect
146. #11719268	C₂²	semidirect
147. #11719265	C₂²	semidirect
148. #11719264	C₂²	semidirect
149. #11719264	C₂²	semidirect
150. #11719264	C₂²	semidirect
151. #11719263	C₂²	semidirect
152. #11719260	C₂²	semidirect
153. #11719258	C₂²	semidirect
154. #11719258	C₂²	semidirect
155. #11719256	C₂²	semidirect
156. #11719253	C₂²	semidirect
157. #11719253	C₂²	semidirect
158. #11719252	C₂²	semidirect
159. #11719252	C₂²	semidirect
160. #11719251	C₂²	semidirect
161. #11719251	C₂²	semidirect
167. C₄×D₄×D₁₃	C₂²	semidirect
168. C₄×D₄×D₁₃	C₂²	semidirect
169. C₄×D₄×D₁₃	C₂²	semidirect
170. C₄×D₄×D₁₃	C₂²	semidirect
171. C₄×D₄×D₁₃	C₂²	semidirect
172. C₄×D₄×D₁₃	C₂²	semidirect
173. C₄×D₄×D₁₃	C₂²	semidirect
174. C₄×D₄×D₁₃	C₂²	semidirect
175. #11719247	C₂²	semidirect
176. #11719245	C₂²	semidirect
177. #11719238	C₂²	semidirect
178. #11719237	C₂²	semidirect
179. #11719237	C₂²	semidirect
180. #11719235	C₂²	semidirect
181. #11719230	C₂²	semidirect
182. #11719229	C₂²	semidirect
183. #11719228	C₂²	semidirect
184. #11719228	C₂²	semidirect
186. D₁₃×#117	C₂²	semidirect
187. D₁₃×#117	C₂²	semidirect
188. #11719222	C₂²	semidirect
189. #11719219	C₂²	semidirect
190. #11719212	C₂²	semidirect
191. #11719209	C₂²	semidirect
192. #11719209	C₂²	semidirect
193. C₂×#88147	C₂²	semidirect
195. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
196. #11719199	C₂²	semidirect
197. C₂×#88135	C₂²	semidirect
199. #11719182	C₂²	semidirect
200. C₂×C₄×D₅₂	C₂²	semidirect
202. #11719175	C₂²	semidirect
205. C₂×C₁₃×#41	C₂³	semidirect
213. C₂×#6131	C₂³	semidirect
219. C₂×#6129	C₂³	semidirect
220. C₂×#6129	C₂³	semidirect
234. C₂×#6127	C₂³	semidirect
235. C₂×#6127	C₂³	semidirect
250. C₁₃×C₄⋊Q₈	C₂³	semidirect
251. C₁₃×C₄⋊Q₈	C₂³	semidirect
252. C₁₃×C₄⋊Q₈	C₂³	semidirect
254. C₁₃×#127	C₂³	semidirect
255. C₁₃×#126	C₂³	semidirect
256. C₁₃×#125	C₂³	semidirect
258. C₁₃×#124	C₂³	semidirect
259. C₁₃×#124	C₂³	semidirect
260. C₁₃×#123	C₂³	semidirect
261. C₁₃×#123	C₂³	semidirect
264. C₁₃×C₂²⋊Q₈	C₂³	semidirect
269. C₁₃×#121	C₂³	semidirect
270. C₁₃×#121	C₂³	semidirect
272. C₄×Q₈×C₁₃	C₂³	semidirect
273. C₄×Q₈×C₁₃	C₂³	semidirect
274. C₄×Q₈×C₁₃	C₂³	semidirect
280. C₄×D₄×C₁₃	C₂³	semidirect
281. C₄×D₄×C₁₃	C₂³	semidirect
282. C₄×D₄×C₁₃	C₂³	semidirect
283. C₄×D₄×C₁₃	C₂³	semidirect
285. C₁₃×#117	C₂³	semidirect
286. C₁₃×#117	C₂³	semidirect
288. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
294. #88201	C₂³	semidirect
295. #88201	C₂³	semidirect
298. #88200	C₂³	semidirect
299. Q₈×Dic₁₃	C₂³	semidirect
300. Q₈×Dic₁₃	C₂³	semidirect
301. Q₈×Dic₁₃	C₂³	semidirect
302. #88198	C₂³	semidirect
303. #88198	C₂³	semidirect
304. #88198	C₂³	semidirect
309. #88194	C₂³	semidirect
310. #88194	C₂³	semidirect
311. #88194	C₂³	semidirect
316. #88193	C₂³	semidirect
317. #88193	C₂³	semidirect
318. #88193	C₂³	semidirect
323. #88192	C₂³	semidirect
324. #88192	C₂³	semidirect
329. #88190	C₂³	semidirect
330. #88190	C₂³	semidirect
331. #88189	C₂³	semidirect
332. #88189	C₂³	semidirect
338. D₄×Dic₁₃	C₂³	semidirect
339. D₄×Dic₁₃	C₂³	semidirect
340. D₄×Dic₁₃	C₂³	semidirect
341. D₄×Dic₁₃	C₂³	semidirect
346. #88184	C₂³	semidirect
347. #88184	C₂³	semidirect
348. #88183	C₂³	semidirect
349. #88183	C₂³	semidirect
356. C₄×C₂²⋊D₁₃	C₂³	semidirect
357. C₄×C₂²⋊D₁₃	C₂³	semidirect
358. C₄×C₂²⋊D₁₃	C₂³	semidirect
359. C₄×C₂²⋊D₁₃	C₂³	semidirect
360. C₄×C₂²⋊D₁₃	C₂³	semidirect
364. #88180	C₂³	semidirect
365. #88180	C₂³	semidirect
367. C₂×C₄⋊Dic₁₃	C₂³	semidirect
370. #88178	C₂³	semidirect
372. C₂×#6101	C₂³	semidirect
376. #88152	C₂³	semidirect
377. #88152	C₂³	semidirect
378. #88152	C₂³	semidirect
381. #88151	C₂³	semidirect
384. #88150	C₂³	semidirect
389. #88149	C₂³	semidirect
390. #88149	C₂³	semidirect
391. #88148	C₂³	semidirect
392. #88148	C₂³	semidirect
393. #88148	C₂³	semidirect
394. #88148	C₂³	semidirect
400. #88147	C₂³	semidirect
401. #88147	C₂³	semidirect
402. #88147	C₂³	semidirect
403. #88147	C₂³	semidirect
406. #88146	C₂³	semidirect
407. #88146	C₂³	semidirect
408. #88146	C₂³	semidirect
409. #88146	C₂³	semidirect
423. C₄⋊C₄×D₁₃	C₂³	semidirect
424. C₄⋊C₄×D₁₃	C₂³	semidirect
425. C₄⋊C₄×D₁₃	C₂³	semidirect
426. #88144	C₂³	semidirect
427. #88144	C₂³	semidirect
428. #88143	C₂³	semidirect
429. #88143	C₂³	semidirect
430. #88142	C₂³	semidirect
431. #88142	C₂³	semidirect
432. #88142	C₂³	semidirect
433. #88142	C₂³	semidirect
434. #88142	C₂³	semidirect
435. #88142	C₂³	semidirect
436. #88141	C₂³	semidirect
437. #88141	C₂³	semidirect
438. #88141	C₂³	semidirect
439. #88141	C₂³	semidirect
440. #88141	C₂³	semidirect
441. #88141	C₂³	semidirect
442. #88140	C₂³	semidirect
443. #88140	C₂³	semidirect
446. #88139	C₂³	semidirect
447. #88139	C₂³	semidirect
448. #88139	C₂³	semidirect
449. #88139	C₂³	semidirect
450. #88139	C₂³	semidirect
451. #88139	C₂³	semidirect
456. #88138	C₂³	semidirect
457. #88138	C₂³	semidirect
458. #88138	C₂³	semidirect
459. #88137	C₂³	semidirect
460. #88137	C₂³	semidirect
461. #88137	C₂³	semidirect
462. #88137	C₂³	semidirect
472. #88135	C₂³	semidirect
473. #88135	C₂³	semidirect
474. #88135	C₂³	semidirect
475. #88135	C₂³	semidirect
476. #88135	C₂³	semidirect
487. #88133	C₂³	semidirect
488. #88133	C₂³	semidirect
489. #88133	C₂³	semidirect
492. #88132	C₂³	semidirect
494. #88131	C₂³	semidirect
495. #88131	C₂³	semidirect
496. #88130	C₂³	semidirect
498. #88129	C₂³	semidirect
499. #88129	C₂³	semidirect
501. #88128	C₂³	semidirect
507. C₄×D₅₂	C₂³	semidirect
508. C₄×D₅₂	C₂³	semidirect
509. C₄×D₅₂	C₂³	semidirect
510. C₄×D₅₂	C₂³	semidirect
512. #88126	C₂³	semidirect
513. #88126	C₂³	semidirect
524. #88124	C₂³	semidirect
525. #88123	C₂³	semidirect
526. #88123	C₂³	semidirect
527. #88123	C₂³	semidirect
528. C₄×Dic₂₆	C₂³	semidirect
529. C₄×Dic₂₆	C₂³	semidirect
530. C₄×Dic₂₆	C₂³	semidirect
531. C₄×Dic₂₆	C₂³	semidirect
532. C₄×Dic₂₆	C₂³	semidirect
533. C₄×Dic₂₆	C₂³	semidirect
631. C₂×C₄×D₁₃	#41	semidirect
768. #3506	D₁₃	direct (N × H)
826. C₂×C₄×C₁₃	C₂×#41	semidirect
855. C₂×Dic₁₃	C₂×#41	semidirect
896. C₄×D₁₃	C₂×#41	semidirect
897. C₄×D₁₃	C₂×#41	semidirect
920. #559	C₂×D₁₃	semidirect
929. #556	C₂×D₁₃	semidirect
938. #555	C₂×D₁₃	semidirect
950. #553	C₂×D₁₃	semidirect
959. #550	C₂×D₁₃	semidirect
968. #547	C₂×D₁₃	semidirect
978. #538	C₂×D₁₃	semidirect
987. #535	C₂×D₁₃	semidirect
997. #533	C₂×D₁₃	semidirect
1007. #532	C₂×D₁₃	semidirect
1029. #525	C₂×D₁₃	semidirect
1050. #520	C₂×D₁₃	semidirect
1072. C₂×C₄×D₄	C₂×D₁₃	semidirect
1142. C₂×#41	C₂²×D₁₃	semidirect
1187. C₄⋊Q₈	C₂²×D₁₃	semidirect
1188. C₄⋊Q₈	C₂²×D₁₃	semidirect
1189. C₄⋊Q₈	C₂²×D₁₃	semidirect
1200. #127	C₂²×D₁₃	semidirect
1208. #126	C₂²×D₁₃	semidirect
1214. #125	C₂²×D₁₃	semidirect
1233. #124	C₂²×D₁₃	semidirect
1234. #124	C₂²×D₁₃	semidirect
1249. #123	C₂²×D₁₃	semidirect
1250. #123	C₂²×D₁₃	semidirect
1268. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1305. #121	C₂²×D₁₃	semidirect
1306. #121	C₂²×D₁₃	semidirect
1330. C₄×Q₈	C₂²×D₁₃	semidirect
1331. C₄×Q₈	C₂²×D₁₃	semidirect
1332. C₄×Q₈	C₂²×D₁₃	semidirect
1387. C₄×D₄	C₂²×D₁₃	semidirect
1388. C₄×D₄	C₂²×D₁₃	semidirect
1389. C₄×D₄	C₂²×D₁₃	semidirect
1390. C₄×D₄	C₂²×D₁₃	semidirect
1407. #117	C₂²×D₁₃	semidirect
1408. #117	C₂²×D₁₃	semidirect
1430. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1468. D₁₃	#3506	direct (N × H)
1689. C₁₃	C₂×#3506	semidirect
1802. C₂×C₄	#41×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
#13128690	2
#13128689	2
#13128688	2
#13128687	2
#13128686	2
#13128685	2
#13128684	2
#13128683	2
#13128682	2
#13128681	2
#13128680	2
#13128679	2
#13128678	2
D₁₃×#559	2
D₁₃×#556	2
D₁₃×#555	2
D₁₃×#553	2
D₁₃×#550	2
D₁₃×#547	2
D₁₃×#538	2
D₁₃×#535	2
D₁₃×#533	2
D₁₃×#532	2
D₁₃×#525	2
D₁₃×#520	2
C₂×C₄×D₄×D₁₃	2
C₁₃×#3506	2
C₂×#3506	13

Subgroups — D13×#3506 #16770862

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3506 #16770862