Subgroups — D₁₃×#3510 #16771401

Order 3328.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128735	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128734	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128733	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128732	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128731	C₂	1	1	yes	maximal, characteristic, complemented
6	#13128730	C₂	1	1	yes	maximal, characteristic, complemented
7	#13128729	C₂	1	4	yes	maximal, complemented
8	#13128728	C₂	1	4	yes	maximal, complemented
9	#13128727	C₂	1	1	yes	maximal, characteristic, complemented
10	#13128726	C₂	1	4	yes	maximal, complemented
11	#13128725	C₂	1	4	yes	maximal, complemented
12	#13128724	C₂	1	8	yes	maximal, complemented
13	D₁₃×#559	C₂	1	4	yes	maximal, complemented
14	D₁₃×#556	C₂	1	4	yes	maximal, complemented
15	D₁₃×#551	C₂	1	8	yes	maximal, complemented
16	D₁₃×#542	C₂	1	4	yes	maximal, complemented
17	D₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#535	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#529	C₂	1	4	yes	maximal, complemented
21	C₂×D₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#519	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#41×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#559	C₂²	1	4	yes	complemented
30	C₁₃×#556	C₂²	1	4	yes	complemented
31	C₁₃×#551	C₂²	1	8	yes	complemented
32	C₁₃×#542	C₂²	1	4	yes	complemented
33	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#535	C₂²	1	1	yes	characteristic
35	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#529	C₂²	1	4	yes	complemented
37	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
40	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
41	#11719535	C₂²	1	1	yes	characteristic
42	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
43	#11719530	C₂²	1	1	yes	characteristic, complemented
44	#11719521	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
46	#11719517	C₂²	1	1	yes	characteristic, complemented
47	#11719510	C₂²	1	1	yes	characteristic
48	#11719503	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
50	#11719438	C₂²	1	4	yes	complemented
51	#11719437	C₂²	1	4	yes	complemented
52	#11719433	C₂²	1	2	yes	complemented
53	#11719429	C₂²	1	2	yes	complemented
54	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
55	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
56	#11719420	C₂²	1	2	yes	—
57	D₁₃×#127	C₂²	1	2	yes	—
58	#11719418	C₂²	1	4	yes	complemented
59	#11719415	C₂²	1	8	yes	complemented
60	#11719411	C₂²	1	8	yes	complemented
61	#11719410	C₂²	1	8	yes	complemented
62	#11719410	C₂²	1	8	yes	complemented
63	D₁₃×#126	C₂²	1	8	yes	complemented
64	D₁₃×#126	C₂²	1	8	yes	complemented
65	#11719407	C₂²	1	8	yes	complemented
66	#11719407	C₂²	1	8	yes	complemented
67	#11719396	C₂²	1	4	yes	complemented
68	#11719393	C₂²	1	2	yes	complemented
69	D₁₃×#125	C₂²	1	2	yes	complemented
70	#11719387	C₂²	1	4	yes	complemented
71	#11719386	C₂²	1	4	yes	complemented
72	#11719386	C₂²	1	8	yes	complemented
73	#11719386	C₂²	1	4	yes	complemented
74	#11719385	C₂²	1	4	yes	complemented
75	#11719384	C₂²	1	8	yes	complemented
76	#11719380	C₂²	1	2	yes	complemented
77	#11719379	C₂²	1	2	yes	—
78	D₁₃×#124	C₂²	1	2	yes	—
79	D₁₃×#124	C₂²	1	2	yes	—
80	D₁₃×#124	C₂²	1	4	yes	—
81	D₁₃×#124	C₂²	1	2	yes	—
82	D₁₃×#124	C₂²	1	2	yes	complemented
83	D₁₃×#124	C₂²	1	4	yes	complemented
84	D₁₃×#124	C₂²	1	2	yes	complemented
85	D₁₃×#124	C₂²	1	8	yes	complemented
86	D₁₃×#124	C₂²	1	2	yes	complemented
87	#11719376	C₂²	1	4	yes	complemented
88	#11719376	C₂²	1	4	yes	complemented
89	#11719374	C₂²	1	8	yes	complemented
90	#11719369	C₂²	1	8	yes	complemented
91	#11719369	C₂²	1	8	yes	complemented
92	#11719367	C₂²	1	8	yes	complemented
93	#11719364	C₂²	1	8	yes	complemented
94	#11719363	C₂²	1	8	yes	complemented
95	#11719363	C₂²	1	8	yes	complemented
96	D₁₃×#123	C₂²	1	4	yes	—
97	D₁₃×#123	C₂²	1	8	yes	complemented
98	D₁₃×#123	C₂²	1	8	yes	complemented
99	#11719354	C₂²	1	8	yes	complemented
100	#11719353	C₂²	1	4	yes	complemented
101	#11719348	C₂²	1	4	yes	complemented
102	#11719346	C₂²	1	8	yes	complemented
103	#11719345	C₂²	1	8	yes	complemented
104	#11719342	C₂²	1	8	yes	complemented
105	#11719342	C₂²	1	8	yes	complemented
106	#11719333	C₂²	1	4	yes	complemented
107	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
108	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
109	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
110	#11719329	C₂²	1	4	yes	complemented
111	#11719327	C₂²	1	4	yes	complemented
112	#11719312	C₂²	1	4	yes	—
113	D₁₃×#121	C₂²	1	4	yes	—
114	#11719308	C₂²	1	4	yes	complemented
115	#11719305	C₂²	1	4	yes	complemented
116	#11719297	C₂²	1	4	yes	—
117	D₁₃×#120	C₂²	1	4	yes	—
118	#11719292	C₂²	1	8	yes	complemented
119	#11719290	C₂²	1	4	yes	complemented
120	#11719290	C₂²	1	4	yes	complemented
121	#11719289	C₂²	1	4	yes	complemented
122	#11719287	C₂²	1	4	yes	complemented
123	#11719285	C₂²	1	4	yes	complemented
124	#11719283	C₂²	1	4	yes	complemented
125	C₄×#6131	C₂²	1	2	yes	complemented
126	#11719277	C₂²	1	4	yes	complemented
127	#11719277	C₂²	1	4	yes	complemented
128	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
129	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
130	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
131	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
132	#11719273	C₂²	1	4	yes	complemented
133	#11719273	C₂²	1	4	yes	complemented
134	#11719266	C₂²	1	4	yes	complemented
135	#11719264	C₂²	1	4	yes	complemented
136	#11719264	C₂²	1	8	yes	complemented
137	#11719264	C₂²	1	4	yes	complemented
138	#11719262	C₂²	1	4	yes	complemented
139	#11719261	C₂²	1	8	yes	complemented
140	#11719261	C₂²	1	8	yes	complemented
141	#11719250	C₂²	1	4	yes	complemented
142	#11719250	C₂²	1	4	yes	complemented
143	C₄×D₄×D₁₃	C₂²	1	4	yes	—
144	C₄×D₄×D₁₃	C₂²	1	4	yes	—
145	C₄×D₄×D₁₃	C₂²	1	4	yes	—
146	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
147	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
148	#11719247	C₂²	1	4	yes	complemented
149	#11719243	C₂²	1	8	yes	complemented
150	C₄×#6129	C₂²	1	2	yes	complemented
151	C₄×#6129	C₂²	1	4	yes	complemented
152	#11719239	C₂²	1	4	yes	complemented
153	#11719238	C₂²	1	8	yes	complemented
154	#11719233	C₂²	1	8	yes	complemented
155	#11719232	C₂²	1	8	yes	complemented
156	#11719232	C₂²	1	8	yes	complemented
157	#11719231	C₂²	1	1	yes	characteristic, complemented
158	#11719230	C₂²	1	1	yes	characteristic
159	#11719227	C₂²	1	2	yes	complemented
160	#11719227	C₂²	1	1	yes	characteristic, complemented
161	#11719226	C₂²	1	1	yes	characteristic, complemented
162	#11719226	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#117	C₂²	1	1	yes	characteristic
164	D₁₃×#117	C₂²	1	1	yes	characteristic
165	D₁₃×#117	C₂²	1	4	yes	—
166	D₁₃×#117	C₂²	1	1	yes	characteristic
167	D₁₃×#117	C₂²	1	2	yes	complemented
168	D₁₃×#117	C₂²	1	8	yes	complemented
169	#11719222	C₂²	1	1	yes	characteristic, complemented
170	#11719222	C₂²	1	1	yes	characteristic, complemented
171	#11719221	C₂²	1	4	yes	complemented
172	#11719221	C₂²	1	1	yes	characteristic, complemented
173	#11719221	C₂²	1	1	yes	characteristic, complemented
174	#11719200	C₂²	1	8	yes	complemented
175	#11719200	C₂²	1	8	yes	complemented
176	C₂×#88139	C₂²	1	4	yes	complemented
177	#11719191	C₂²	1	4	yes	complemented
178	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	—
179	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	—
180	#11719184	C₂²	1	4	yes	complemented
181	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
182	C₄×#6127	C₂²	1	2	yes	complemented
183	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
185	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
186	#11719175	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	2	yes	—
188	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
192	#41×D₁₃	—	2	8	no	—
193	C₂×#6131	C₂³	1	1	yes	characteristic
194	C₂×Q₈×D₁₃	—	2	8	no	—
195	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
196	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
197	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
198	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
199	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
200	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
201	C₂×#6129	C₂³	1	2	yes	—
202	C₂×#6129	C₂³	1	1	yes	characteristic
203	C₂×D₄×D₁₃	—	2	8	no	—
204	C₂×D₄×D₁₃	C₂³	1	2	yes	—
205	C₂×D₄×D₁₃	C₂³	1	2	yes	—
206	C₂×D₄×D₁₃	C₂³	1	2	yes	—
207	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	C₂³	1	2	yes	—
209	C₂×D₄×D₁₃	C₂³	1	2	yes	—
210	C₂×D₄×D₁₃	C₂³	1	8	yes	—
211	C₂×#6127	C₂³	1	1	yes	characteristic
212	C₂×#6127	C₂³	1	2	yes	—
213	C₂²×D₅₂	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
215	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
216	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
217	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
218	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
221	C₂²×Dic₂₆	C₂³	1	2	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
223	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
224	C₁₃×#127	C₂³	1	2	yes	—
225	C₁₃×#126	C₂³	1	8	yes	complemented
226	C₁₃×#126	C₂³	1	8	yes	complemented
227	C₁₃×#125	C₂³	1	2	yes	complemented
228	C₁₃×#124	C₂³	1	2	yes	—
229	C₁₃×#124	C₂³	1	2	yes	—
230	C₁₃×#124	C₂³	1	4	yes	—
231	C₁₃×#124	C₂³	1	2	yes	—
232	C₁₃×#124	C₂³	1	2	yes	complemented
233	C₁₃×#124	C₂³	1	8	yes	complemented
234	C₁₃×#123	C₂³	1	4	yes	—
235	C₁₃×#123	C₂³	1	8	yes	complemented
236	C₁₃×#123	C₂³	1	8	yes	complemented
237	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
239	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
240	C₁₃×#121	C₂³	1	4	yes	—
241	C₁₃×#120	C₂³	1	4	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
243	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
244	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
245	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
246	C₄×D₄×C₁₃	C₂³	1	4	yes	—
247	C₄×D₄×C₁₃	C₂³	1	4	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
250	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
251	C₁₃×#117	C₂³	1	1	yes	characteristic
252	C₁₃×#117	C₂³	1	1	yes	characteristic
253	C₁₃×#117	C₂³	1	4	yes	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	2	yes	complemented
256	C₁₃×#117	C₂³	1	8	yes	complemented
257	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
261	#88207	C₂³	1	4	yes	—
262	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
263	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
264	#88201	C₂³	1	2	yes	—
265	#88201	C₂³	1	4	yes	—
266	#88201	C₂³	1	2	yes	—
267	#88201	C₂³	1	2	yes	—
268	#88201	C₂³	1	2	yes	complemented
269	#88201	C₂³	1	8	yes	complemented
270	#88200	C₂³	1	4	yes	—
271	#88200	C₂³	1	8	yes	complemented
272	#88200	C₂³	1	4	yes	complemented
273	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
274	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
275	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
276	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
277	#88198	C₂³	1	2	yes	complemented
278	#88198	C₂³	1	2	yes	complemented
279	#88198	C₂³	1	4	yes	complemented
280	#88194	C₂³	1	2	yes	—
281	#88194	C₂³	1	2	yes	—
282	#88194	C₂³	1	8	yes	—
283	#88193	C₂³	1	8	yes	—
284	#88192	C₂³	1	4	yes	—
285	#88191	C₂³	1	4	yes	—
286	#88191	C₂³	1	8	yes	—
287	#88190	C₂³	1	4	yes	—
288	#88190	C₂³	1	2	yes	—
289	#88190	C₂³	1	2	yes	—
290	#88190	C₂³	1	2	yes	—
291	#88190	C₂³	1	2	yes	complemented
292	#88190	C₂³	1	8	yes	complemented
293	#88189	C₂³	1	4	yes	—
294	#88189	C₂³	1	8	yes	complemented
295	#88189	C₂³	1	8	yes	complemented
296	D₄×Dic₁₃	C₂³	1	4	yes	—
297	D₄×Dic₁₃	C₂³	1	4	yes	—
298	D₄×Dic₁₃	C₂³	1	4	yes	—
299	D₄×Dic₁₃	C₂³	1	2	yes	complemented
300	D₄×Dic₁₃	C₂³	1	8	yes	complemented
301	#88184	C₂³	1	4	yes	—
302	#88183	C₂³	1	4	yes	—
303	#88183	C₂³	1	8	yes	complemented
304	#88183	C₂³	1	8	yes	complemented
305	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
306	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
307	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
308	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
309	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
310	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
311	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
312	C₂×#6103	C₂³	1	4	yes	—
313	C₂×#6103	C₂³	1	4	yes	—
314	C₂×#6103	C₂³	1	8	yes	—
315	#88180	C₂³	1	1	yes	characteristic
316	#88180	C₂³	1	1	yes	characteristic
317	#88180	C₂³	1	1	yes	characteristic
318	#88180	C₂³	1	4	yes	—
319	#88180	C₂³	1	2	yes	complemented
320	#88180	C₂³	1	8	yes	complemented
321	#88178	C₂³	1	4	yes	—
322	#88178	C₂³	1	4	yes	complemented
323	#88178	C₂³	1	8	yes	complemented
324	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
325	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
327	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
328	#88152	C₂³	1	8	yes	complemented
329	#88152	C₂³	1	8	yes	complemented
330	#88152	C₂³	1	8	yes	complemented
331	#88152	C₂³	1	8	yes	complemented
332	#88152	C₂³	1	8	yes	complemented
333	#88152	C₂³	1	8	yes	complemented
334	#88151	C₂³	1	4	yes	—
335	#88151	C₂³	1	8	yes	complemented
336	#88151	C₂³	1	4	yes	complemented
337	#88150	C₂³	1	4	yes	—
338	#88150	C₂³	1	4	yes	—
339	#88150	C₂³	1	8	yes	complemented
340	#88150	C₂³	1	8	yes	complemented
341	#88150	C₂³	1	8	yes	complemented
342	#88149	C₂³	1	4	yes	—
343	#88148	C₂³	1	8	yes	—
344	#88148	C₂³	1	8	yes	complemented
345	#88148	C₂³	1	8	yes	complemented
346	#88148	C₂³	1	8	yes	complemented
347	#88148	C₂³	1	8	yes	complemented
348	#88147	C₂³	1	4	yes	—
349	#88147	C₂³	1	4	yes	—
350	#88147	C₂³	1	4	yes	—
351	#88147	C₂³	1	2	yes	complemented
352	#88147	C₂³	1	8	yes	complemented
353	#88146	C₂³	1	2	yes	—
354	#88146	C₂³	1	2	yes	—
355	#88146	C₂³	1	2	yes	—
356	#88146	C₂³	1	8	yes	—
357	#88146	C₂³	1	8	yes	complemented
358	#88146	C₂³	1	8	yes	complemented
359	#88146	C₂³	1	4	yes	complemented
360	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
361	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
362	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
363	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
364	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
365	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
366	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
367	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
368	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
369	#88144	C₂³	1	2	yes	complemented
370	#88144	C₂³	1	2	yes	complemented
371	#88143	C₂³	1	4	yes	complemented
372	#88143	C₂³	1	4	yes	complemented
373	#88142	C₂³	1	2	yes	complemented
374	#88142	C₂³	1	2	yes	complemented
375	#88142	C₂³	1	8	yes	complemented
376	#88142	C₂³	1	4	yes	complemented
377	#88141	C₂³	1	4	yes	complemented
378	#88141	C₂³	1	4	yes	complemented
379	#88141	C₂³	1	4	yes	complemented
380	#88141	C₂³	1	8	yes	complemented
381	#88141	C₂³	1	8	yes	complemented
382	#88141	C₂³	1	2	yes	complemented
383	#88141	C₂³	1	4	yes	complemented
384	#88141	C₂³	1	4	yes	complemented
385	#88141	C₂³	1	4	yes	complemented
386	#88140	C₂³	1	4	yes	—
387	#88140	C₂³	1	8	yes	complemented
388	#88140	C₂³	1	8	yes	complemented
389	#88139	C₂³	1	8	yes	—
390	#88139	C₂³	1	8	yes	—
391	#88139	C₂³	1	8	yes	—
392	#88139	C₂³	1	8	yes	—
393	#88139	C₂³	1	8	yes	—
394	#88139	C₂³	1	8	yes	complemented
395	#88139	C₂³	1	8	yes	complemented
396	#88139	C₂³	1	8	yes	complemented
397	#88139	C₂³	1	8	yes	complemented
398	#88139	C₂³	1	8	yes	complemented
399	#88138	C₂³	1	8	yes	—
400	#88137	C₂³	1	8	yes	—
401	#88137	C₂³	1	8	yes	complemented
402	#88137	C₂³	1	8	yes	complemented
403	#88137	C₂³	1	8	yes	complemented
404	#88137	C₂³	1	8	yes	complemented
405	#88136	C₂³	1	4	yes	—
406	#88136	C₂³	1	8	yes	—
407	#88135	C₂³	1	8	yes	—
408	#88135	C₂³	1	8	yes	—
409	#88135	C₂³	1	4	yes	—
410	#88135	C₂³	1	4	yes	—
411	#88135	C₂³	1	8	yes	complemented
412	#88135	C₂³	1	4	yes	complemented
413	#88135	C₂³	1	8	yes	complemented
414	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
415	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
416	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
417	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
418	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
419	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
420	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
421	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
422	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
423	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
424	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
425	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
426	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
427	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
428	#88133	C₂³	1	8	yes	complemented
429	#88133	C₂³	1	8	yes	complemented
430	#88133	C₂³	1	8	yes	complemented
431	#88133	C₂³	1	8	yes	complemented
432	#88133	C₂³	1	8	yes	complemented
433	#88133	C₂³	1	8	yes	complemented
434	#88132	C₂³	1	4	yes	—
435	#88132	C₂³	1	4	yes	—
436	#88132	C₂³	1	8	yes	complemented
437	#88132	C₂³	1	8	yes	complemented
438	#88132	C₂³	1	8	yes	complemented
439	#88131	C₂³	1	2	yes	—
440	#88131	C₂³	1	2	yes	—
441	#88131	C₂³	1	4	yes	—
442	#88131	C₂³	1	4	yes	—
443	#88131	C₂³	1	2	yes	—
444	#88131	C₂³	1	8	yes	complemented
445	#88131	C₂³	1	4	yes	complemented
446	#88131	C₂³	1	8	yes	complemented
447	#88130	C₂³	1	8	yes	complemented
448	#88130	C₂³	1	8	yes	complemented
449	#88129	C₂³	1	2	yes	—
450	#88129	C₂³	1	2	yes	—
451	#88129	C₂³	1	4	yes	—
452	#88129	C₂³	1	2	yes	—
453	#88129	C₂³	1	2	yes	complemented
454	#88129	C₂³	1	8	yes	complemented
455	#88128	C₂³	1	2	yes	—
456	C₄×D₅₂	C₂³	1	4	yes	—
457	C₄×D₅₂	C₂³	1	4	yes	—
458	C₄×D₅₂	C₂³	1	4	yes	—
459	C₄×D₅₂	C₂³	1	2	yes	complemented
460	C₄×D₅₂	C₂³	1	8	yes	complemented
461	#88126	C₂³	1	2	yes	—
462	#88126	C₂³	1	2	yes	—
463	#88126	C₂³	1	8	yes	—
464	#88126	C₂³	1	2	yes	—
465	#88126	C₂³	1	2	yes	complemented
466	#88126	C₂³	1	2	yes	complemented
467	#88126	C₂³	1	8	yes	complemented
468	#88126	C₂³	1	8	yes	complemented
469	C₄²×D₁₃	C₂³	1	1	yes	characteristic
470	C₄²×D₁₃	C₂³	1	2	yes	—
471	C₄²×D₁₃	C₂³	1	1	yes	characteristic
472	C₄²×D₁₃	C₂³	1	1	yes	characteristic
473	C₄²×D₁₃	C₂³	1	1	yes	characteristic
474	C₄²×D₁₃	C₂³	1	2	yes	—
475	C₄²×D₁₃	C₂³	1	2	yes	—
476	C₄²×D₁₃	C₂³	1	2	yes	—
477	C₄²×D₁₃	C₂³	1	4	yes	—
478	C₄²×D₁₃	C₂³	1	8	yes	—
479	C₄²×D₁₃	C₂³	1	2	yes	—
480	C₄²×D₁₃	C₂³	1	2	yes	complemented
481	C₄²×D₁₃	C₂³	1	2	yes	complemented
482	C₄²×D₁₃	C₂³	1	4	yes	complemented
483	#88124	C₂³	1	2	yes	complemented
484	#88123	C₂³	1	2	yes	complemented
485	#88123	C₂³	1	2	yes	complemented
486	C₄×Dic₂₆	C₂³	1	4	yes	complemented
487	C₄×Dic₂₆	C₂³	1	4	yes	complemented
488	C₄×Dic₂₆	C₂³	1	2	yes	complemented
489	C₄×Dic₂₆	C₂³	1	4	yes	complemented
490	C₄×Dic₂₆	C₂³	1	4	yes	complemented
491	C₄×Dic₂₆	C₂³	1	8	yes	complemented
492	C₄×Dic₂₆	C₂³	1	8	yes	complemented
493	C₄×Dic₂₆	C₂³	1	4	yes	complemented
494	C₄×Dic₂₆	C₂³	1	4	yes	complemented
495	C₂×#3510	—	13	1	no	maximal, Sylow
496	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
497	C₂³×D₁₃	—	2	8	no	—
498	C₂³×D₁₃	—	4	8	no	—
499	C₂³×D₁₃	C₂⁴	1	4	yes	—
500	C₂³×D₁₃	C₂⁴	1	2	yes	—
501	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
502	C₂³×D₁₃	C₂⁴	1	4	yes	—
503	C₂³×D₁₃	C₂⁴	1	2	yes	—
504	C₁₃×#41	—	2	4	no	—
505	C₂×Q₈×C₁₃	—	2	4	no	—
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
508	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
509	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
510	C₂×D₄×C₁₃	—	2	4	no	—
511	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
512	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
513	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
516	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
519	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×C₂²⋊D₁₃	—	2	8	no	—
523	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
524	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
525	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
526	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
527	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
528	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
529	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
530	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
531	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
532	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
533	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
534	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
535	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
536	#6131	—	2	4	no	—
537	Q₈×D₁₃	—	2	8	no	—
538	Q₈×D₁₃	—	2	8	no	—
539	Q₈×D₁₃	—	2	8	no	—
540	Q₈×D₁₃	—	2	8	no	—
541	Q₈×D₁₃	—	2	4	no	—
542	Q₈×D₁₃	—	4	8	no	—
543	#6129	—	2	8	no	—
544	#6129	—	2	4	no	—
545	D₄×D₁₃	—	2	8	no	—
546	D₄×D₁₃	—	2	8	no	—
547	D₄×D₁₃	—	2	8	no	—
548	D₄×D₁₃	—	2	8	no	—
549	D₄×D₁₃	—	2	8	no	—
550	D₄×D₁₃	—	2	4	no	—
551	D₄×D₁₃	—	4	16	no	—
552	#6127	—	2	4	no	—
553	#6127	—	2	8	no	—
554	C₂×D₅₂	—	2	4	no	—
555	C₂×D₅₂	C₂⁴	1	2	yes	—
556	C₂×D₅₂	C₂⁴	1	2	yes	—
557	C₂×D₅₂	C₂⁴	1	2	yes	—
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×D₅₂	C₂⁴	1	8	yes	—
560	C₂×C₄×D₁₃	—	2	8	no	—
561	C₂×C₄×D₁₃	—	2	8	no	—
562	C₂×C₄×D₁₃	—	4	8	no	—
563	C₂×C₄×D₁₃	—	4	16	no	—
564	C₂×C₄×D₁₃	—	4	4	no	—
565	C₂×C₄×D₁₃	#41	1	8	yes	—
566	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
567	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
568	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
569	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
570	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
571	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
572	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
573	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
574	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
575	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
576	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
577	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
578	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
579	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
580	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
581	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
582	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	4	no	—
587	C₂×Dic₂₆	—	2	8	no	—
588	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₂₆	C₂⁴	1	2	yes	—
590	C₂×Dic₂₆	C₂⁴	1	2	yes	—
591	C₂×Dic₂₆	C₂⁴	1	4	yes	—
592	C₂×Dic₂₆	C₂⁴	1	4	yes	—
593	C₂×Dic₂₆	C₂⁴	1	2	yes	—
594	C₂×Dic₂₆	C₂⁴	1	4	yes	—
595	C₂×Dic₂₆	C₂⁴	1	4	yes	—
596	C₂×Dic₂₆	C₂⁴	1	4	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
607	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
608	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
609	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
610	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
611	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₄²×C₁₃	C₂⁴	1	2	yes	—
616	C₄²×C₁₃	C₂⁴	1	2	yes	—
617	C₄²×C₁₃	C₂⁴	1	2	yes	—
618	C₄²×C₁₃	C₂⁴	1	2	yes	—
619	C₄²×C₁₃	C₂⁴	1	8	yes	—
620	C₄²×C₁₃	C₂⁴	1	4	yes	—
621	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
624	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
625	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
626	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
627	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
628	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
629	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
630	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
631	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
632	#6103	C₂⁴	1	4	yes	—
633	#6103	C₂⁴	1	4	yes	—
634	#6103	C₂⁴	1	4	yes	—
635	#6103	C₂⁴	1	4	yes	—
636	#6103	C₂⁴	1	8	yes	—
637	#6103	C₂⁴	1	4	yes	—
638	#6103	C₂⁴	1	8	yes	—
639	#6103	C₂⁴	1	8	yes	—
640	#6103	C₂⁴	1	8	yes	—
641	#6103	C₂⁴	1	8	yes	—
642	#6103	C₂⁴	1	8	yes	—
643	#6103	C₂⁴	1	8	yes	—
644	#6103	C₂⁴	1	8	yes	—
645	#6103	C₂⁴	1	8	yes	—
646	#6103	C₂⁴	1	8	yes	—
647	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
648	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
649	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
650	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
651	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
652	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
653	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
654	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
655	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
656	#6101	C₂⁴	1	4	yes	—
657	#6101	C₂⁴	1	8	yes	—
658	#6101	C₂⁴	1	8	yes	—
659	#6101	C₂⁴	1	4	yes	—
660	#6101	C₂⁴	1	4	yes	—
661	#6101	C₂⁴	1	4	yes	—
662	#6101	C₂⁴	1	4	yes	—
663	#6101	C₂⁴	1	4	yes	—
664	#6101	C₂⁴	1	4	yes	—
665	#6101	C₂⁴	1	4	yes	—
666	#6101	C₂⁴	1	4	yes	—
667	#6101	C₂⁴	1	4	yes	—
668	#6101	C₂⁴	1	4	yes	—
669	#6101	C₂⁴	1	8	yes	—
670	#6101	C₂⁴	1	8	yes	—
671	C₄×Dic₁₃	C₂⁴	1	2	yes	—
672	C₄×Dic₁₃	C₂⁴	1	2	yes	—
673	C₄×Dic₁₃	C₂⁴	1	2	yes	—
674	C₄×Dic₁₃	C₂⁴	1	2	yes	—
675	C₄×Dic₁₃	C₂⁴	1	4	yes	—
676	C₄×Dic₁₃	C₂⁴	1	4	yes	—
677	C₄×Dic₁₃	C₂⁴	1	8	yes	—
678	C₄×Dic₁₃	C₂⁴	1	8	yes	—
679	C₄×Dic₁₃	C₂⁴	1	4	yes	—
680	C₄×Dic₁₃	C₂⁴	1	2	yes	—
681	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂⁴	1	2	yes	—
684	C₄×Dic₁₃	C₂⁴	1	2	yes	—
685	C₄×Dic₁₃	C₂⁴	1	2	yes	—
686	C₄×Dic₁₃	C₂⁴	1	4	yes	—
687	C₄×Dic₁₃	C₂⁴	1	4	yes	—
688	C₄×Dic₁₃	C₂⁴	1	8	yes	—
689	C₄×Dic₁₃	C₂⁴	1	4	yes	—
690	#3510	—	13	4	no	—
691	#3510	—	13	4	no	—
692	#3510	—	13	8	no	—
693	#3510	—	13	4	no	—
694	#3510	—	13	1	no	—
695	#3510	—	13	1	no	—
696	#3510	—	13	1	no	—
697	#3510	—	13	4	no	—
698	#3510	—	13	1	no	—
699	#3510	—	13	1	no	—
700	#3510	—	13	1	no	—
701	#3510	—	13	1	no	—
702	#3510	D₁₃	1	1	yes	characteristic, direct product factor
703	C₂×#559	—	13	4	no	—
704	C₂×#556	—	13	4	no	—
705	C₂×#551	—	13	8	no	—
706	C₂×#542	—	13	4	no	—
707	C₂×#536	—	13	1	no	—
708	C₂×#535	—	13	1	no	—
709	C₂×#533	—	13	1	no	—
710	C₂×#529	—	13	4	no	—
711	C₂²×#124	—	13	1	no	—
712	C₂×#519	—	13	1	no	—
713	C₂×#518	—	13	1	no	—
714	C₂×C₄×#41	—	13	1	no	—
715	C₂³×C₁₃	—	2	4	no	—
716	C₂³×C₁₃	—	4	4	no	—
717	C₂³×C₁₃	C₂⁵	1	4	yes	—
718	C₂³×C₁₃	C₂⁵	1	2	yes	—
719	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
720	C₂²×D₁₃	—	2	4	no	—
721	C₂²×D₁₃	—	2	4	no	—
722	C₂²×D₁₃	—	2	4	no	—
723	C₂²×D₁₃	—	2	8	no	—
724	C₂²×D₁₃	—	2	8	no	—
725	C₂²×D₁₃	—	2	16	no	—
726	C₂²×D₁₃	—	2	8	no	—
727	C₂²×D₁₃	—	4	8	no	—
728	C₂²×D₁₃	—	4	4	no	—
729	C₂²×D₁₃	—	8	16	no	—
730	C₂²×D₁₃	C₂×#41	1	4	yes	—
731	C₂²×D₁₃	C₂⁵	1	4	yes	—
732	C₂²×D₁₃	C₂⁵	1	2	yes	—
733	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
734	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
735	Q₈×C₁₃	—	2	4	no	—
736	Q₈×C₁₃	—	2	4	no	—
737	Q₈×C₁₃	—	2	2	no	—
738	Q₈×C₁₃	—	4	4	no	—
739	D₄×C₁₃	—	2	4	no	—
740	D₄×C₁₃	—	2	4	no	—
741	D₄×C₁₃	—	2	4	no	—
742	D₄×C₁₃	—	2	2	no	—
743	D₄×C₁₃	—	4	8	no	—
744	C₂×C₄×C₁₃	—	2	4	no	—
745	C₂×C₄×C₁₃	—	2	4	no	—
746	C₂×C₄×C₁₃	—	4	2	no	—
747	C₂×C₄×C₁₃	—	4	8	no	—
748	C₂×C₄×C₁₃	—	4	4	no	—
749	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
750	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
751	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
752	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
753	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
754	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
755	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
756	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
757	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
759	C₂²⋊D₁₃	—	2	4	no	—
760	C₂²⋊D₁₃	—	2	4	no	—
761	C₂²⋊D₁₃	—	2	4	no	—
762	C₂²⋊D₁₃	—	2	8	no	—
763	C₂²⋊D₁₃	—	2	8	no	—
764	C₂²⋊D₁₃	—	4	8	no	—
765	C₂²⋊D₁₃	—	4	8	no	—
766	C₂×Dic₁₃	—	2	4	no	—
767	C₂×Dic₁₃	—	2	4	no	—
768	C₂×Dic₁₃	—	4	2	no	—
769	C₂×Dic₁₃	—	4	8	no	—
770	C₂×Dic₁₃	—	4	4	no	—
771	C₂×Dic₁₃	C₂×#41	1	4	yes	—
772	C₂×Dic₁₃	C₂⁵	1	2	yes	—
773	C₂×Dic₁₃	C₂⁵	1	4	yes	—
774	C₂×Dic₁₃	C₂⁵	1	4	yes	—
775	C₂×Dic₁₃	C₂⁵	1	2	yes	—
776	C₂×Dic₁₃	C₂⁵	1	4	yes	—
777	C₂×Dic₁₃	C₂⁵	1	2	yes	—
778	C₂×Dic₁₃	C₂⁵	1	4	yes	—
779	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
781	D₅₂	—	2	4	no	—
782	D₅₂	—	2	4	no	—
783	D₅₂	—	2	4	no	—
784	D₅₂	—	2	2	no	—
785	D₅₂	—	4	8	no	—
786	C₄×D₁₃	—	2	4	no	—
787	C₄×D₁₃	—	2	8	no	—
788	C₄×D₁₃	—	2	8	no	—
789	C₄×D₁₃	—	2	4	no	—
790	C₄×D₁₃	—	2	8	no	—
791	C₄×D₁₃	—	2	8	no	—
792	C₄×D₁₃	—	2	4	no	—
793	C₄×D₁₃	—	2	8	no	—
794	C₄×D₁₃	—	2	4	no	—
795	C₄×D₁₃	—	2	4	no	—
796	C₄×D₁₃	—	4	2	no	—
797	C₄×D₁₃	—	4	8	no	—
798	C₄×D₁₃	—	4	2	no	—
799	C₄×D₁₃	—	4	8	no	—
800	C₄×D₁₃	—	4	4	no	—
801	C₄×D₁₃	—	4	4	no	—
802	C₄×D₁₃	C₂×#41	1	4	yes	—
803	C₄×D₁₃	C₂×#41	1	4	yes	—
804	C₄×D₁₃	C₂×#41	1	4	yes	—
805	C₄×D₁₃	C₂×#41	1	4	yes	—
806	Dic₂₆	—	2	4	no	—
807	Dic₂₆	—	2	4	no	—
808	Dic₂₆	—	2	2	no	—
809	Dic₂₆	—	2	8	no	—
810	Dic₂₆	—	2	8	no	—
811	Dic₂₆	—	2	4	no	—
812	Dic₂₆	—	4	4	no	—
813	Dic₂₆	—	4	4	no	—
814	Dic₂₆	—	4	4	no	—
815	C₂²×#41	—	13	1	no	—
816	C₂³×Q₈	—	13	1	no	—
817	C₂³×D₄	—	13	1	no	—
818	#559	—	13	4	no	—
819	#559	—	13	4	no	—
820	#559	—	13	4	no	—
821	#559	—	13	8	no	—
822	#559	—	13	8	no	—
823	#559	—	13	8	no	—
824	#559	—	13	4	no	—
825	#559	—	13	4	no	—
826	#559	—	13	4	no	—
827	#559	—	13	8	no	—
828	#559	—	13	4	no	—
829	#559	C₂×D₁₃	1	4	yes	complemented
830	#556	—	13	4	no	—
831	#556	—	13	8	no	—
832	#556	—	13	8	no	—
833	#556	—	13	4	no	—
834	#556	—	13	4	no	—
835	#556	—	13	8	no	—
836	#556	—	13	4	no	—
837	#556	—	13	4	no	—
838	#556	—	13	4	no	—
839	#556	—	13	4	no	—
840	#556	—	13	8	no	—
841	#556	C₂×D₁₃	1	4	yes	complemented
842	#551	—	13	8	no	—
843	#551	—	13	8	no	—
844	#551	—	13	8	no	—
845	#551	—	13	8	no	—
846	#551	—	13	8	no	—
847	#551	—	13	8	no	—
848	#551	—	13	8	no	—
849	#551	—	13	8	no	—
850	#551	—	13	8	no	—
851	#551	—	13	8	no	—
852	#551	—	13	8	no	—
853	#551	—	13	8	no	—
854	#551	—	13	8	no	—
855	#551	—	13	8	no	—
856	#551	—	13	8	no	—
857	#551	C₂×D₁₃	1	8	yes	complemented
858	#542	—	13	4	no	—
859	#542	—	13	8	no	—
860	#542	—	13	4	no	—
861	#542	—	13	8	no	—
862	#542	—	13	8	no	—
863	#542	—	13	8	no	—
864	#542	—	13	4	no	—
865	#542	—	13	4	no	—
866	#542	—	13	4	no	—
867	#542	—	13	4	no	—
868	#542	—	13	4	no	—
869	#542	C₂×D₁₃	1	4	yes	complemented
870	#536	—	13	1	no	—
871	#536	—	13	1	no	—
872	#536	—	13	2	no	—
873	#536	—	13	2	no	—
874	#536	—	13	4	no	—
875	#536	—	13	4	no	—
876	#536	—	13	1	no	—
877	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
878	#535	—	13	1	no	—
879	#535	—	13	1	no	—
880	#535	—	13	2	no	—
881	#535	—	13	2	no	—
882	#535	—	13	4	no	—
883	#535	—	13	4	no	—
884	#535	—	13	1	no	—
885	#535	C₂×D₁₃	1	1	yes	characteristic
886	#533	—	13	2	no	—
887	#533	—	13	2	no	—
888	#533	—	13	4	no	—
889	#533	—	13	4	no	—
890	#533	—	13	1	no	—
891	#533	—	13	1	no	—
892	#533	—	13	1	no	—
893	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
894	C₂×C₄⋊Q₈	—	13	2	no	—
895	C₂×C₄⋊Q₈	—	13	2	no	—
896	C₂×#127	—	13	2	no	—
897	#529	—	13	8	no	—
898	#529	—	13	4	no	—
899	#529	—	13	4	no	—
900	#529	—	13	8	no	—
901	#529	—	13	4	no	—
902	#529	—	13	4	no	—
903	#529	—	13	4	no	—
904	#529	—	13	4	no	—
905	#529	—	13	8	no	—
906	#529	—	13	8	no	—
907	#529	—	13	4	no	—
908	#529	C₂×D₁₃	1	4	yes	complemented
909	C₂×#126	—	13	8	no	—
910	C₂×#126	—	13	8	no	—
911	C₂×#125	—	13	2	no	—
912	C₂×#124	—	13	1	no	—
913	C₂×#124	—	13	1	no	—
914	C₂×#124	—	13	2	no	—
915	C₂×#124	—	13	2	no	—
916	C₂×#124	—	13	4	no	—
917	C₂×#124	—	13	2	no	—
918	C₂×#124	—	13	2	no	—
919	C₂×#124	—	13	4	no	—
920	C₂×#124	—	13	2	no	—
921	C₂×#124	—	13	2	no	—
922	C₂×#124	—	13	8	no	—
923	C₂×#124	—	13	4	no	—
924	C₂×#124	—	13	1	no	—
925	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
926	C₂×#123	—	13	4	no	—
927	C₂×#123	—	13	8	no	—
928	C₂×#123	—	13	8	no	—
929	C₂×C₂²⋊Q₈	—	13	4	no	—
930	C₂×C₂²⋊Q₈	—	13	4	no	—
931	C₂×C₂²⋊Q₈	—	13	8	no	—
932	C₂×#121	—	13	4	no	—
933	C₂×#120	—	13	4	no	—
934	#519	—	13	1	no	—
935	#519	—	13	4	no	—
936	#519	—	13	4	no	—
937	#519	—	13	1	no	—
938	#519	—	13	1	no	—
939	#519	—	13	4	no	—
940	#519	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#518	—	13	1	no	—
942	#518	—	13	4	no	—
943	#518	—	13	4	no	—
944	#518	—	13	1	no	—
945	#518	—	13	1	no	—
946	#518	—	13	4	no	—
947	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
948	C₄×#41	—	13	1	no	—
949	C₄×#41	—	13	2	no	—
950	C₄×#41	—	13	4	no	—
951	C₄×#41	—	13	2	no	—
952	C₄×#41	—	13	1	no	—
953	C₄×#41	—	13	2	no	—
954	C₄×#41	—	13	1	no	—
955	C₄×#41	—	13	2	no	—
956	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
957	C₂×C₄×Q₈	—	13	2	no	—
958	C₂×C₄×Q₈	—	13	4	no	—
959	C₂×C₄×Q₈	—	13	4	no	—
960	C₂×C₄×Q₈	—	13	4	no	—
961	C₂×C₄×D₄	—	13	4	no	—
962	C₂×C₄×D₄	—	13	4	no	—
963	C₂×C₄×D₄	—	13	4	no	—
964	C₂×C₄×D₄	—	13	2	no	—
965	C₂×C₄×D₄	—	13	8	no	—
966	C₂×#117	—	13	1	no	—
967	C₂×#117	—	13	1	no	—
968	C₂×#117	—	13	1	no	—
969	C₂×#117	—	13	4	no	—
970	C₂×#117	—	13	2	no	—
971	C₂×#117	—	13	8	no	—
972	C₂²×C₂²⋊C₄	—	13	4	no	—
973	C₂²×C₂²⋊C₄	—	13	4	no	—
974	C₂²×C₄²	—	13	1	no	—
975	C₂²×C₄²	—	13	2	no	—
976	C₂²×C₁₃	—	2	2	no	—
977	C₂²×C₁₃	—	2	2	no	—
978	C₂²×C₁₃	—	2	4	no	—
979	C₂²×C₁₃	—	2	4	no	—
980	C₂²×C₁₃	—	2	8	no	—
981	C₂²×C₁₃	—	8	4	no	—
982	C₂²×C₁₃	C₂²×#41	1	2	yes	—
983	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
984	C₂×D₁₃	—	2	2	no	—
985	C₂×D₁₃	—	2	8	no	—
986	C₂×D₁₃	—	2	2	no	—
987	C₂×D₁₃	—	2	4	no	—
988	C₂×D₁₃	—	2	4	no	—
989	C₂×D₁₃	—	2	8	no	—
990	C₂×D₁₃	—	4	8	no	—
991	C₂×D₁₃	—	4	16	no	—
992	C₂×D₁₃	—	8	8	no	—
993	C₂×D₁₃	—	8	4	no	—
994	C₂×D₁₃	C₂²×#41	1	2	yes	—
995	C₂×D₁₃	C₂²×#41	1	2	yes	—
996	C₂×D₁₃	#585	1	4	yes	—
997	C₄×C₁₃	—	2	4	no	—
998	C₄×C₁₃	—	2	2	no	—
999	C₄×C₁₃	—	2	2	no	—
1000	C₄×C₁₃	—	2	4	no	—
1001	C₄×C₁₃	—	2	4	no	—
1002	C₄×C₁₃	—	2	2	no	—
1003	C₄×C₁₃	—	2	4	no	—
1004	C₄×C₁₃	C₂²×#41	1	2	yes	—
1005	C₄×C₁₃	C₂²×#41	1	2	yes	—
1006	Dic₁₃	—	2	4	no	—
1007	Dic₁₃	—	2	2	no	—
1008	Dic₁₃	—	2	2	no	—
1009	Dic₁₃	—	2	4	no	—
1010	Dic₁₃	—	2	4	no	—
1011	Dic₁₃	—	2	2	no	—
1012	Dic₁₃	—	2	4	no	—
1013	Dic₁₃	C₂²×#41	1	2	yes	—
1014	Dic₁₃	C₂²×#41	1	2	yes	—
1015	C₂⁵	—	13	2	no	—
1016	C₂×#41	—	13	1	no	—
1017	C₂×#41	—	13	2	no	—
1018	C₂×#41	—	13	1	no	—
1019	C₂×#41	—	13	2	no	—
1020	C₂×#41	—	13	1	no	—
1021	C₂×#41	—	26	8	no	—
1022	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂²×Q₈	—	13	2	no	—
1024	C₂²×Q₈	—	13	2	no	—
1025	C₂²×Q₈	—	13	1	no	—
1026	C₂²×Q₈	—	13	2	no	—
1027	C₂²×Q₈	—	13	2	no	—
1028	C₂²×Q₈	—	13	4	no	—
1029	C₂²×Q₈	—	13	2	no	—
1030	C₂²×Q₈	—	13	1	no	—
1031	C₂²×Q₈	—	26	8	no	—
1032	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂²×D₄	—	13	2	no	—
1034	C₂²×D₄	—	13	2	no	—
1035	C₂²×D₄	—	13	2	no	—
1036	C₂²×D₄	—	13	2	no	—
1037	C₂²×D₄	—	13	1	no	—
1038	C₂²×D₄	—	13	2	no	—
1039	C₂²×D₄	—	13	2	no	—
1040	C₂²×D₄	—	13	8	no	—
1041	C₂²×D₄	—	13	1	no	—
1042	C₂²×D₄	—	26	8	no	—
1043	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂³×C₄	—	13	1	no	—
1045	C₂³×C₄	—	13	2	no	—
1046	C₂³×C₄	—	13	2	no	—
1047	C₂³×C₄	—	13	2	no	—
1048	C₂³×C₄	—	13	8	no	—
1049	C₂³×C₄	—	13	4	no	—
1050	C₄⋊Q₈	—	13	4	no	—
1051	C₄⋊Q₈	—	13	2	no	—
1052	C₄⋊Q₈	—	13	2	no	—
1053	C₄⋊Q₈	—	13	4	no	—
1054	C₄⋊Q₈	—	13	2	no	—
1055	C₄⋊Q₈	—	13	2	no	—
1056	C₄⋊Q₈	—	13	8	no	—
1057	C₄⋊Q₈	—	13	2	no	—
1058	C₄⋊Q₈	—	13	2	no	—
1059	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1060	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1061	#127	—	13	8	no	—
1062	#127	—	13	2	no	—
1063	#127	—	13	2	no	—
1064	#127	—	13	2	no	—
1065	#127	C₂²×D₁₃	1	2	yes	—
1066	#126	—	13	8	no	—
1067	#126	—	13	8	no	—
1068	#126	—	13	8	no	—
1069	#126	—	13	8	no	—
1070	#126	—	13	8	no	—
1071	#126	—	13	8	no	—
1072	#126	—	13	8	no	—
1073	#126	—	13	8	no	—
1074	#126	—	13	8	no	—
1075	#126	—	13	8	no	—
1076	#126	—	13	8	no	—
1077	#126	—	13	8	no	—
1078	#126	—	13	8	no	—
1079	#126	—	13	8	no	—
1080	#126	C₂²×D₁₃	1	8	yes	complemented
1081	#126	C₂²×D₁₃	1	8	yes	complemented
1082	#125	—	13	4	no	—
1083	#125	—	13	4	no	—
1084	#125	—	13	2	no	—
1085	#125	—	13	2	no	—
1086	#125	—	13	2	no	—
1087	#125	C₂²×D₁₃	1	2	yes	complemented
1088	#124	—	13	2	no	—
1089	#124	—	13	2	no	—
1090	#124	—	13	4	no	—
1091	#124	—	13	2	no	—
1092	#124	—	13	2	no	—
1093	#124	—	13	8	no	—
1094	#124	—	13	2	no	—
1095	#124	—	13	2	no	—
1096	#124	—	13	4	no	—
1097	#124	—	13	2	no	—
1098	#124	—	13	2	no	—
1099	#124	—	13	8	no	—
1100	#124	—	13	8	no	—
1101	#124	—	13	8	no	—
1102	#124	—	13	8	no	—
1103	#124	—	13	8	no	—
1104	#124	—	13	8	no	—
1105	#124	—	13	8	no	—
1106	#124	—	13	8	no	—
1107	#124	—	13	8	no	—
1108	#124	—	13	8	no	—
1109	#124	—	13	8	no	—
1110	#124	—	13	2	no	—
1111	#124	—	13	2	no	—
1112	#124	—	13	4	no	—
1113	#124	—	13	2	no	—
1114	#124	—	13	2	no	—
1115	#124	—	13	8	no	—
1116	#124	C₂²×D₁₃	1	2	yes	—
1117	#124	C₂²×D₁₃	1	2	yes	—
1118	#124	C₂²×D₁₃	1	4	yes	—
1119	#124	C₂²×D₁₃	1	2	yes	—
1120	#124	C₂²×D₁₃	1	2	yes	complemented
1121	#124	C₂²×D₁₃	1	8	yes	complemented
1122	#123	—	13	8	no	—
1123	#123	—	13	4	no	—
1124	#123	—	13	8	no	—
1125	#123	—	13	8	no	—
1126	#123	—	13	4	no	—
1127	#123	—	13	8	no	—
1128	#123	—	13	8	no	—
1129	#123	—	13	8	no	—
1130	#123	—	13	8	no	—
1131	#123	—	13	8	no	—
1132	#123	—	13	8	no	—
1133	#123	—	13	8	no	—
1134	#123	—	13	8	no	—
1135	#123	—	13	8	no	—
1136	#123	—	13	8	no	—
1137	#123	—	13	4	no	—
1138	#123	—	13	8	no	—
1139	#123	—	13	8	no	—
1140	#123	—	13	8	no	—
1141	#123	C₂²×D₁₃	1	4	yes	—
1142	#123	C₂²×D₁₃	1	8	yes	complemented
1143	#123	C₂²×D₁₃	1	8	yes	complemented
1144	C₂²⋊Q₈	—	13	4	no	—
1145	C₂²⋊Q₈	—	13	4	no	—
1146	C₂²⋊Q₈	—	13	8	no	—
1147	C₂²⋊Q₈	—	13	4	no	—
1148	C₂²⋊Q₈	—	13	4	no	—
1149	C₂²⋊Q₈	—	13	8	no	—
1150	C₂²⋊Q₈	—	13	8	no	—
1151	C₂²⋊Q₈	—	13	4	no	—
1152	C₂²⋊Q₈	—	13	4	no	—
1153	C₂²⋊Q₈	—	13	4	no	—
1154	C₂²⋊Q₈	—	13	4	no	—
1155	C₂²⋊Q₈	—	13	8	no	—
1156	C₂²⋊Q₈	—	13	8	no	—
1157	C₂²⋊Q₈	—	13	8	no	—
1158	C₂²⋊Q₈	—	13	8	no	—
1159	C₂²⋊Q₈	—	13	4	no	—
1160	C₂²⋊Q₈	—	13	4	no	—
1161	C₂²⋊Q₈	—	13	8	no	—
1162	C₂²⋊Q₈	—	13	8	no	—
1163	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	—
1164	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1165	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1166	#121	—	13	4	no	—
1167	#121	—	13	8	no	—
1168	#121	—	13	4	no	—
1169	#121	—	13	4	no	—
1170	#121	—	13	8	no	—
1171	#121	C₂²×D₁₃	1	4	yes	—
1172	#120	—	13	4	no	—
1173	#120	—	13	4	no	—
1174	#120	—	13	8	no	—
1175	#120	—	13	8	no	—
1176	#120	—	13	4	no	—
1177	#120	C₂²×D₁₃	1	4	yes	—
1178	C₄×Q₈	—	13	2	no	—
1179	C₄×Q₈	—	13	4	no	—
1180	C₄×Q₈	—	13	4	no	—
1181	C₄×Q₈	—	13	4	no	—
1182	C₄×Q₈	—	13	4	no	—
1183	C₄×Q₈	—	13	2	no	—
1184	C₄×Q₈	—	13	8	no	—
1185	C₄×Q₈	—	13	4	no	—
1186	C₄×Q₈	—	13	8	no	—
1187	C₄×Q₈	—	13	4	no	—
1188	C₄×Q₈	—	13	4	no	—
1189	C₄×Q₈	—	13	4	no	—
1190	C₄×Q₈	—	13	4	no	—
1191	C₄×Q₈	—	13	2	no	—
1192	C₄×Q₈	—	13	4	no	—
1193	C₄×Q₈	—	13	8	no	—
1194	C₄×Q₈	—	13	4	no	—
1195	C₄×Q₈	—	13	4	no	—
1196	C₄×Q₈	—	13	8	no	—
1197	C₄×Q₈	—	13	4	no	—
1198	C₄×Q₈	—	13	4	no	—
1199	C₄×Q₈	—	13	4	no	—
1200	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1201	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
1202	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
1203	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
1204	C₄×D₄	—	13	4	no	—
1205	C₄×D₄	—	13	2	no	—
1206	C₄×D₄	—	13	4	no	—
1207	C₄×D₄	—	13	4	no	—
1208	C₄×D₄	—	13	8	no	—
1209	C₄×D₄	—	13	4	no	—
1210	C₄×D₄	—	13	4	no	—
1211	C₄×D₄	—	13	4	no	—
1212	C₄×D₄	—	13	8	no	—
1213	C₄×D₄	—	13	8	no	—
1214	C₄×D₄	—	13	8	no	—
1215	C₄×D₄	—	13	8	no	—
1216	C₄×D₄	—	13	4	no	—
1217	C₄×D₄	—	13	2	no	—
1218	C₄×D₄	—	13	4	no	—
1219	C₄×D₄	—	13	4	no	—
1220	C₄×D₄	—	13	8	no	—
1221	C₄×D₄	—	13	4	no	—
1222	C₄×D₄	—	13	4	no	—
1223	C₄×D₄	—	13	4	no	—
1224	C₄×D₄	—	13	8	no	—
1225	C₄×D₄	—	13	8	no	—
1226	C₄×D₄	—	13	8	no	—
1227	C₄×D₄	—	13	8	no	—
1228	C₄×D₄	—	13	4	no	—
1229	C₄×D₄	—	13	2	no	—
1230	C₄×D₄	—	13	4	no	—
1231	C₄×D₄	—	13	4	no	—
1232	C₄×D₄	—	13	8	no	—
1233	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1234	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1235	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1236	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1237	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1238	#117	—	13	1	no	—
1239	#117	—	13	2	no	—
1240	#117	—	13	1	no	—
1241	#117	—	13	1	no	—
1242	#117	—	13	4	no	—
1243	#117	—	13	8	no	—
1244	#117	—	13	2	no	—
1245	#117	—	13	4	no	—
1246	#117	—	13	2	no	—
1247	#117	—	13	2	no	—
1248	#117	—	13	8	no	—
1249	#117	—	13	8	no	—
1250	#117	—	13	8	no	—
1251	#117	—	13	2	no	—
1252	#117	—	13	4	no	—
1253	#117	—	13	2	no	—
1254	#117	—	13	2	no	—
1255	#117	—	13	4	no	—
1256	#117	—	13	4	no	—
1257	#117	—	13	8	no	—
1258	#117	—	13	8	no	—
1259	#117	—	13	2	no	—
1260	#117	—	13	2	no	—
1261	#117	—	13	2	no	—
1262	#117	—	13	2	no	—
1263	#117	—	13	2	no	—
1264	#117	—	13	8	no	—
1265	#117	—	13	8	no	—
1266	#117	—	13	8	no	—
1267	#117	C₂²×D₁₃	1	1	yes	characteristic
1268	#117	C₂²×D₁₃	1	1	yes	characteristic
1269	#117	C₂²×D₁₃	1	1	yes	characteristic
1270	#117	C₂²×D₁₃	1	4	yes	—
1271	#117	C₂²×D₁₃	1	2	yes	complemented
1272	#117	C₂²×D₁₃	1	8	yes	complemented
1273	C₂×C₄⋊C₄	—	13	4	no	—
1274	C₂×C₄⋊C₄	—	13	2	no	—
1275	C₂×C₄⋊C₄	—	13	2	no	—
1276	C₂×C₄⋊C₄	—	13	4	no	—
1277	C₂×C₄⋊C₄	—	13	2	no	—
1278	C₂×C₄⋊C₄	—	13	8	no	—
1279	C₂×C₄⋊C₄	—	13	8	no	—
1280	C₂×C₄⋊C₄	—	13	4	no	—
1281	C₂×C₄⋊C₄	—	13	4	no	—
1282	C₂×C₂²⋊C₄	—	13	4	no	—
1283	C₂×C₂²⋊C₄	—	13	4	no	—
1284	C₂×C₂²⋊C₄	—	13	8	no	—
1285	C₂×C₂²⋊C₄	—	13	4	no	—
1286	C₂×C₂²⋊C₄	—	13	4	no	—
1287	C₂×C₂²⋊C₄	—	13	2	no	—
1288	C₂×C₂²⋊C₄	—	13	2	no	—
1289	C₂×C₂²⋊C₄	—	13	8	no	—
1290	C₂×C₂²⋊C₄	—	13	8	no	—
1291	C₂×C₂²⋊C₄	—	13	4	no	—
1292	C₂×C₂²⋊C₄	—	13	4	no	—
1293	C₂×C₂²⋊C₄	—	13	8	no	—
1294	C₂×C₂²⋊C₄	—	13	8	no	—
1295	C₂×C₂²⋊C₄	—	13	8	no	—
1296	C₂×C₂²⋊C₄	—	13	8	no	—
1297	C₂×C₂²⋊C₄	—	13	2	no	—
1298	C₂×C₂²⋊C₄	—	13	4	no	—
1299	C₂×C₂²⋊C₄	—	13	8	no	—
1300	C₂×C₂²⋊C₄	—	13	8	no	—
1301	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
1302	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
1303	C₂×C₄²	—	13	2	no	—
1304	C₂×C₄²	—	13	1	no	—
1305	C₂×C₄²	—	13	4	no	—
1306	C₂×C₄²	—	13	2	no	—
1307	C₂×C₄²	—	13	2	no	—
1308	C₂×C₄²	—	13	8	no	—
1309	C₂×C₄²	—	13	4	no	—
1310	C₂×C₄²	—	13	1	no	—
1311	C₂×C₄²	—	13	2	no	—
1312	C₂×C₄²	—	13	2	no	—
1313	C₂×C₄²	—	13	2	no	—
1314	C₂×C₄²	—	13	2	no	—
1315	C₂×C₄²	—	13	1	no	—
1316	C₂×C₄²	—	13	1	no	—
1317	C₂×C₄²	—	13	4	no	—
1318	C₂×C₄²	—	13	2	no	—
1319	C₂×C₄²	—	13	2	no	—
1320	C₂×C₄²	—	13	1	no	—
1321	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
1323	C₂×C₁₃	—	2	2	no	—
1324	C₂×C₁₃	—	4	4	no	—
1325	C₂×C₁₃	—	4	2	no	—
1326	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1327	C₂×C₁₃	C₂×#585	1	2	yes	—
1328	D₁₃	—	2	2	no	—
1329	D₁₃	—	4	2	no	—
1330	D₁₃	—	4	4	no	—
1331	D₁₃	#3510	1	4	yes	direct product factor
1332	C₂⁴	—	13	1	no	—
1333	C₂⁴	—	13	4	no	—
1334	C₂⁴	—	13	2	no	—
1335	C₂⁴	—	13	4	no	—
1336	C₂⁴	—	13	2	no	—
1337	C₂⁴	—	26	8	no	—
1338	C₂⁴	—	52	8	no	—
1339	C₂⁴	C₂³×D₁₃	1	2	yes	—
1340	#41	—	2	4	no	—
1341	#41	—	26	8	no	—
1342	#41	—	26	8	no	—
1343	#41	—	26	4	no	—
1344	#41	—	26	4	no	—
1345	#41	—	26	4	no	—
1346	C₂×Q₈	—	2	4	no	—
1347	C₂×Q₈	—	13	4	no	—
1348	C₂×Q₈	—	13	2	no	—
1349	C₂×Q₈	—	13	4	no	—
1350	C₂×Q₈	—	13	2	no	—
1351	C₂×Q₈	—	13	2	no	—
1352	C₂×Q₈	—	13	1	no	—
1353	C₂×Q₈	—	13	4	no	—
1354	C₂×Q₈	—	13	4	no	—
1355	C₂×Q₈	—	13	4	no	—
1356	C₂×Q₈	—	26	8	no	—
1357	C₂×Q₈	—	26	8	no	—
1358	C₂×Q₈	—	26	8	no	—
1359	C₂×Q₈	—	26	8	no	—
1360	C₂×Q₈	—	26	8	no	—
1361	C₂×Q₈	—	26	4	no	—
1362	C₂×Q₈	—	26	4	no	—
1363	C₂×Q₈	—	52	8	no	—
1364	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1365	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1366	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1367	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1368	C₂×D₄	—	2	4	no	—
1369	C₂×D₄	—	13	2	no	—
1370	C₂×D₄	—	13	2	no	—
1371	C₂×D₄	—	13	4	no	—
1372	C₂×D₄	—	13	4	no	—
1373	C₂×D₄	—	13	2	no	—
1374	C₂×D₄	—	13	8	no	—
1375	C₂×D₄	—	13	8	no	—
1376	C₂×D₄	—	13	2	no	—
1377	C₂×D₄	—	13	2	no	—
1378	C₂×D₄	—	13	2	no	—
1379	C₂×D₄	—	13	1	no	—
1380	C₂×D₄	—	13	8	no	—
1381	C₂×D₄	—	26	8	no	—
1382	C₂×D₄	—	26	8	no	—
1383	C₂×D₄	—	26	8	no	—
1384	C₂×D₄	—	26	8	no	—
1385	C₂×D₄	—	26	4	no	—
1386	C₂×D₄	—	26	8	no	—
1387	C₂×D₄	—	26	8	no	—
1388	C₂×D₄	—	26	4	no	—
1389	C₂×D₄	—	52	16	no	—
1390	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1391	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1392	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1393	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1394	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1395	C₂²×C₄	—	13	1	no	—
1396	C₂²×C₄	—	13	8	no	—
1397	C₂²×C₄	—	13	1	no	—
1398	C₂²×C₄	—	13	1	no	—
1399	C₂²×C₄	—	13	1	no	—
1400	C₂²×C₄	—	13	1	no	—
1401	C₂²×C₄	—	13	2	no	—
1402	C₂²×C₄	—	13	2	no	—
1403	C₂²×C₄	—	13	2	no	—
1404	C₂²×C₄	—	13	4	no	—
1405	C₂²×C₄	—	13	8	no	—
1406	C₂²×C₄	—	13	4	no	—
1407	C₂²×C₄	—	13	2	no	—
1408	C₂²×C₄	—	13	4	no	—
1409	C₂²×C₄	—	13	4	no	—
1410	C₂²×C₄	—	13	2	no	—
1411	C₂²×C₄	—	13	2	no	—
1412	C₂²×C₄	—	13	2	no	—
1413	C₂²×C₄	—	13	2	no	—
1414	C₂²×C₄	—	13	4	no	—
1415	C₂²×C₄	—	13	4	no	—
1416	C₂²×C₄	—	13	2	no	—
1417	C₂²×C₄	—	13	2	no	—
1418	C₂²×C₄	—	13	4	no	—
1419	C₂²×C₄	—	13	4	no	—
1420	C₂²×C₄	—	13	8	no	—
1421	C₂²×C₄	—	13	8	no	—
1422	C₂²×C₄	—	26	8	no	—
1423	C₂²×C₄	—	26	8	no	—
1424	C₂²×C₄	—	52	8	no	—
1425	C₂²×C₄	—	52	16	no	—
1426	C₂²×C₄	—	52	4	no	—
1427	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1428	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1429	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1430	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1431	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1432	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1433	C₄⋊C₄	—	13	4	no	—
1434	C₄⋊C₄	—	13	4	no	—
1435	C₄⋊C₄	—	13	4	no	—
1436	C₄⋊C₄	—	13	4	no	—
1437	C₄⋊C₄	—	13	2	no	—
1438	C₄⋊C₄	—	13	4	no	—
1439	C₄⋊C₄	—	13	2	no	—
1440	C₄⋊C₄	—	13	4	no	—
1441	C₄⋊C₄	—	13	4	no	—
1442	C₄⋊C₄	—	13	4	no	—
1443	C₄⋊C₄	—	13	4	no	—
1444	C₄⋊C₄	—	13	2	no	—
1445	C₄⋊C₄	—	13	8	no	—
1446	C₄⋊C₄	—	13	8	no	—
1447	C₄⋊C₄	—	13	8	no	—
1448	C₄⋊C₄	—	13	8	no	—
1449	C₄⋊C₄	—	13	8	no	—
1450	C₄⋊C₄	—	13	8	no	—
1451	C₄⋊C₄	—	13	4	no	—
1452	C₄⋊C₄	—	13	4	no	—
1453	C₄⋊C₄	—	13	4	no	—
1454	C₄⋊C₄	—	13	4	no	—
1455	C₄⋊C₄	—	13	4	no	—
1456	C₄⋊C₄	—	13	4	no	—
1457	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1458	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1459	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1460	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1461	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1462	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1463	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1464	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1465	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1466	C₂²⋊C₄	—	13	2	no	—
1467	C₂²⋊C₄	—	13	2	no	—
1468	C₂²⋊C₄	—	13	8	no	—
1469	C₂²⋊C₄	—	13	8	no	—
1470	C₂²⋊C₄	—	13	8	no	—
1471	C₂²⋊C₄	—	13	2	no	—
1472	C₂²⋊C₄	—	13	4	no	—
1473	C₂²⋊C₄	—	13	8	no	—
1474	C₂²⋊C₄	—	13	8	no	—
1475	C₂²⋊C₄	—	13	4	no	—
1476	C₂²⋊C₄	—	13	4	no	—
1477	C₂²⋊C₄	—	13	8	no	—
1478	C₂²⋊C₄	—	13	8	no	—
1479	C₂²⋊C₄	—	13	8	no	—
1480	C₂²⋊C₄	—	13	8	no	—
1481	C₂²⋊C₄	—	13	8	no	—
1482	C₂²⋊C₄	—	13	8	no	—
1483	C₂²⋊C₄	—	13	4	no	—
1484	C₂²⋊C₄	—	13	4	no	—
1485	C₂²⋊C₄	—	13	4	no	—
1486	C₂²⋊C₄	—	13	8	no	—
1487	C₂²⋊C₄	—	13	8	no	—
1488	C₂²⋊C₄	—	13	8	no	—
1489	C₂²⋊C₄	—	13	8	no	—
1490	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1491	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1492	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1493	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1494	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1495	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1496	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1497	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1498	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1499	C₄²	—	13	2	no	—
1500	C₄²	—	13	1	no	—
1501	C₄²	—	13	4	no	—
1502	C₄²	—	13	2	no	—
1503	C₄²	—	13	4	no	—
1504	C₄²	—	13	4	no	—
1505	C₄²	—	13	4	no	—
1506	C₄²	—	13	2	no	—
1507	C₄²	—	13	1	no	—
1508	C₄²	—	13	2	no	—
1509	C₄²	—	13	2	no	—
1510	C₄²	—	13	2	no	—
1511	C₄²	—	13	8	no	—
1512	C₄²	—	13	8	no	—
1513	C₄²	—	13	8	no	—
1514	C₄²	—	13	4	no	—
1515	C₄²	—	13	2	no	—
1516	C₄²	—	13	4	no	—
1517	C₄²	—	13	2	no	—
1518	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1519	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1520	C₄²	C₂³×D₁₃	1	2	yes	—
1521	C₄²	C₂³×D₁₃	1	2	yes	—
1522	C₄²	C₂³×D₁₃	1	4	yes	—
1523	C₄²	C₂³×D₁₃	1	8	yes	—
1524	C₄²	C₂³×D₁₃	1	2	yes	—
1525	C₄²	C₂³×D₁₃	1	2	yes	—
1526	C₁₃	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
1527	C₂³	—	2	4	no	—
1528	C₂³	—	4	4	no	—
1529	C₂³	—	13	1	no	—
1530	C₂³	—	13	4	no	—
1531	C₂³	—	13	1	no	—
1532	C₂³	—	13	4	no	—
1533	C₂³	—	13	2	no	—
1534	C₂³	—	26	4	no	—
1535	C₂³	—	26	4	no	—
1536	C₂³	—	26	8	no	—
1537	C₂³	—	26	16	no	—
1538	C₂³	—	26	8	no	—
1539	C₂³	—	26	8	no	—
1540	C₂³	—	26	4	no	—
1541	C₂³	—	52	4	no	—
1542	C₂³	—	52	8	no	—
1543	C₂³	—	104	16	no	—
1544	C₂³	C₂⁴×D₁₃	1	4	yes	—
1545	C₂³	C₂⁴×D₁₃	1	2	yes	—
1546	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1547	Q₈	—	2	4	no	—
1548	Q₈	—	2	4	no	—
1549	Q₈	—	2	2	no	—
1550	Q₈	—	4	4	no	—
1551	Q₈	—	26	8	no	—
1552	Q₈	—	26	8	no	—
1553	Q₈	—	26	4	no	—
1554	Q₈	—	26	4	no	—
1555	Q₈	—	26	4	no	—
1556	Q₈	—	26	2	no	—
1557	Q₈	—	52	4	no	—
1558	Q₈	—	52	4	no	—
1559	Q₈	—	52	4	no	—
1560	D₄	—	2	4	no	—
1561	D₄	—	2	4	no	—
1562	D₄	—	2	4	no	—
1563	D₄	—	2	2	no	—
1564	D₄	—	4	8	no	—
1565	D₄	—	26	4	no	—
1566	D₄	—	26	8	no	—
1567	D₄	—	26	8	no	—
1568	D₄	—	26	4	no	—
1569	D₄	—	26	4	no	—
1570	D₄	—	26	4	no	—
1571	D₄	—	26	4	no	—
1572	D₄	—	26	4	no	—
1573	D₄	—	26	2	no	—
1574	D₄	—	52	8	no	—
1575	D₄	—	52	8	no	—
1576	D₄	—	52	8	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	2	4	no	—
1579	C₂×C₄	—	4	4	no	—
1580	C₂×C₄	—	4	8	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	13	4	no	—
1583	C₂×C₄	—	13	1	no	—
1584	C₂×C₄	—	13	1	no	—
1585	C₂×C₄	—	13	4	no	—
1586	C₂×C₄	—	13	4	no	—
1587	C₂×C₄	—	13	4	no	—
1588	C₂×C₄	—	13	4	no	—
1589	C₂×C₄	—	13	2	no	—
1590	C₂×C₄	—	13	4	no	—
1591	C₂×C₄	—	13	4	no	—
1592	C₂×C₄	—	13	4	no	—
1593	C₂×C₄	—	13	2	no	—
1594	C₂×C₄	—	13	2	no	—
1595	C₂×C₄	—	13	4	no	—
1596	C₂×C₄	—	26	4	no	—
1597	C₂×C₄	—	26	4	no	—
1598	C₂×C₄	—	26	8	no	—
1599	C₂×C₄	—	26	8	no	—
1600	C₂×C₄	—	26	8	no	—
1601	C₂×C₄	—	26	4	no	—
1602	C₂×C₄	—	26	8	no	—
1603	C₂×C₄	—	26	4	no	—
1604	C₂×C₄	—	26	8	no	—
1605	C₂×C₄	—	26	4	no	—
1606	C₂×C₄	—	26	4	no	—
1607	C₂×C₄	—	26	4	no	—
1608	C₂×C₄	—	52	4	no	—
1609	C₂×C₄	—	52	4	no	—
1610	C₂×C₄	—	52	8	no	—
1611	C₂×C₄	—	52	2	no	—
1612	C₂×C₄	—	52	8	no	—
1613	C₂×C₄	—	52	2	no	—
1614	C₂×C₄	—	52	4	no	—
1615	C₂×C₄	—	52	8	no	—
1616	C₂×C₄	—	52	2	no	—
1617	C₂×C₄	#41×D₁₃	1	4	yes	—
1618	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1619	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1620	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1621	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1622	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1623	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1624	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1625	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	4	no	—
1630	C₂²	—	2	4	no	—
1631	C₂²	—	2	8	no	—
1632	C₂²	—	8	4	no	—
1633	C₂²	—	13	2	no	—
1634	C₂²	—	13	4	no	—
1635	C₂²	—	13	2	no	—
1636	C₂²	—	26	8	no	—
1637	C₂²	—	26	2	no	—
1638	C₂²	—	26	2	no	—
1639	C₂²	—	26	4	no	—
1640	C₂²	—	26	4	no	—
1641	C₂²	—	26	8	no	—
1642	C₂²	—	52	8	no	—
1643	C₂²	—	52	16	no	—
1644	C₂²	—	104	4	no	—
1645	C₂²	—	104	8	no	—
1646	C₂²	C₂×#41×D₁₃	1	2	yes	—
1647	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1648	C₄	—	2	2	no	—
1649	C₄	—	2	4	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	2	4	no	—
1653	C₄	—	2	2	no	—
1654	C₄	—	2	4	no	—
1655	C₄	—	13	2	no	—
1656	C₄	—	13	2	no	—
1657	C₄	—	26	2	no	—
1658	C₄	—	26	4	no	—
1659	C₄	—	26	2	no	—
1660	C₄	—	26	4	no	—
1661	C₄	—	26	4	no	—
1662	C₄	—	26	2	no	—
1663	C₄	—	26	4	no	—
1664	C₄	C₂×#41×D₁₃	1	2	yes	—
1665	C₄	C₂×#41×D₁₃	1	2	yes	—
1666	C₂	—	2	2	no	—
1667	C₂	—	4	4	no	—
1668	C₂	—	4	2	no	—
1669	C₂	—	13	4	no	—
1670	C₂	—	26	2	no	—
1671	C₂	—	52	4	no	—
1672	C₂	—	52	2	no	—
1673	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1674	C₂	D₁₃×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3510	C₂
prime radical	D₁₃×#535	C₂
hypercenter	#3510	D₁₃
hypocenter	C₁₃	C₂×#3510
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3510

Complements

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

N	H ≅ G/N	type
1. #13128735	C₂	semidirect
2. #13128734	C₂	semidirect
3. #13128733	C₂	semidirect
4. #13128732	C₂	semidirect
5. #13128731	C₂	semidirect
6. #13128730	C₂	semidirect
7. #13128729	C₂	semidirect
8. #13128728	C₂	semidirect
9. #13128727	C₂	semidirect
10. #13128726	C₂	semidirect
11. #13128725	C₂	semidirect
12. #13128724	C₂	semidirect
13. D₁₃×#559	C₂	semidirect
14. D₁₃×#556	C₂	semidirect
15. D₁₃×#551	C₂	semidirect
16. D₁₃×#542	C₂	semidirect
17. D₁₃×#536	C₂	semidirect
19. D₁₃×#533	C₂	semidirect
20. D₁₃×#529	C₂	semidirect
21. C₂×D₁₃×#124	C₂	semidirect
22. D₁₃×#519	C₂	semidirect
23. D₁₃×#518	C₂	semidirect
24. C₄×#41×D₁₃	C₂	semidirect
25. C₁₃×#3510	C₂	semidirect
29. C₁₃×#559	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#551	C₂²	semidirect
32. C₁₃×#542	C₂²	semidirect
33. C₁₃×#536	C₂²	semidirect
35. C₁₃×#533	C₂²	semidirect
36. C₁₃×#529	C₂²	semidirect
37. C₂×C₁₃×#124	C₂²	semidirect
38. C₁₃×#519	C₂²	semidirect
39. C₁₃×#518	C₂²	semidirect
40. C₄×C₁₃×#41	C₂²	semidirect
42. #41×Dic₁₃	C₂²	semidirect
43. #11719530	C₂²	semidirect
44. #11719521	C₂²	semidirect
45. C₂×#88201	C₂²	semidirect
46. #11719517	C₂²	semidirect
48. #11719503	C₂²	semidirect
49. C₂×#88190	C₂²	semidirect
50. #11719438	C₂²	semidirect
51. #11719437	C₂²	semidirect
52. #11719433	C₂²	semidirect
53. #11719429	C₂²	semidirect
54. D₁₃×C₄⋊Q₈	C₂²	semidirect
55. D₁₃×C₄⋊Q₈	C₂²	semidirect
58. #11719418	C₂²	semidirect
59. #11719415	C₂²	semidirect
60. #11719411	C₂²	semidirect
61. #11719410	C₂²	semidirect
62. #11719410	C₂²	semidirect
63. D₁₃×#126	C₂²	semidirect
64. D₁₃×#126	C₂²	semidirect
65. #11719407	C₂²	semidirect
66. #11719407	C₂²	semidirect
67. #11719396	C₂²	semidirect
68. #11719393	C₂²	semidirect
69. D₁₃×#125	C₂²	semidirect
70. #11719387	C₂²	semidirect
71. #11719386	C₂²	semidirect
72. #11719386	C₂²	semidirect
73. #11719386	C₂²	semidirect
74. #11719385	C₂²	semidirect
75. #11719384	C₂²	semidirect
76. #11719380	C₂²	semidirect
82. D₁₃×#124	C₂²	semidirect
83. D₁₃×#124	C₂²	semidirect
84. D₁₃×#124	C₂²	semidirect
85. D₁₃×#124	C₂²	semidirect
86. D₁₃×#124	C₂²	semidirect
87. #11719376	C₂²	semidirect
88. #11719376	C₂²	semidirect
89. #11719374	C₂²	semidirect
90. #11719369	C₂²	semidirect
91. #11719369	C₂²	semidirect
92. #11719367	C₂²	semidirect
93. #11719364	C₂²	semidirect
94. #11719363	C₂²	semidirect
95. #11719363	C₂²	semidirect
97. D₁₃×#123	C₂²	semidirect
98. D₁₃×#123	C₂²	semidirect
99. #11719354	C₂²	semidirect
100. #11719353	C₂²	semidirect
101. #11719348	C₂²	semidirect
102. #11719346	C₂²	semidirect
103. #11719345	C₂²	semidirect
104. #11719342	C₂²	semidirect
105. #11719342	C₂²	semidirect
106. #11719333	C₂²	semidirect
108. D₁₃×C₂²⋊Q₈	C₂²	semidirect
109. D₁₃×C₂²⋊Q₈	C₂²	semidirect
110. #11719329	C₂²	semidirect
111. #11719327	C₂²	semidirect
114. #11719308	C₂²	semidirect
115. #11719305	C₂²	semidirect
118. #11719292	C₂²	semidirect
119. #11719290	C₂²	semidirect
120. #11719290	C₂²	semidirect
121. #11719289	C₂²	semidirect
122. #11719287	C₂²	semidirect
123. #11719285	C₂²	semidirect
124. #11719283	C₂²	semidirect
125. C₄×#6131	C₂²	semidirect
126. #11719277	C₂²	semidirect
127. #11719277	C₂²	semidirect
128. C₄×Q₈×D₁₃	C₂²	semidirect
129. C₄×Q₈×D₁₃	C₂²	semidirect
130. C₄×Q₈×D₁₃	C₂²	semidirect
131. C₄×Q₈×D₁₃	C₂²	semidirect
132. #11719273	C₂²	semidirect
133. #11719273	C₂²	semidirect
134. #11719266	C₂²	semidirect
135. #11719264	C₂²	semidirect
136. #11719264	C₂²	semidirect
137. #11719264	C₂²	semidirect
138. #11719262	C₂²	semidirect
139. #11719261	C₂²	semidirect
140. #11719261	C₂²	semidirect
141. #11719250	C₂²	semidirect
142. #11719250	C₂²	semidirect
146. C₄×D₄×D₁₃	C₂²	semidirect
147. C₄×D₄×D₁₃	C₂²	semidirect
148. #11719247	C₂²	semidirect
149. #11719243	C₂²	semidirect
150. C₄×#6129	C₂²	semidirect
151. C₄×#6129	C₂²	semidirect
152. #11719239	C₂²	semidirect
153. #11719238	C₂²	semidirect
154. #11719233	C₂²	semidirect
155. #11719232	C₂²	semidirect
156. #11719232	C₂²	semidirect
157. #11719231	C₂²	semidirect
159. #11719227	C₂²	semidirect
160. #11719227	C₂²	semidirect
161. #11719226	C₂²	semidirect
162. #11719226	C₂²	semidirect
167. D₁₃×#117	C₂²	semidirect
168. D₁₃×#117	C₂²	semidirect
169. #11719222	C₂²	semidirect
170. #11719222	C₂²	semidirect
171. #11719221	C₂²	semidirect
172. #11719221	C₂²	semidirect
173. #11719221	C₂²	semidirect
174. #11719200	C₂²	semidirect
175. #11719200	C₂²	semidirect
176. C₂×#88139	C₂²	semidirect
177. #11719191	C₂²	semidirect
180. #11719184	C₂²	semidirect
181. C₂×#88129	C₂²	semidirect
182. C₄×#6127	C₂²	semidirect
183. C₄×#6127	C₂²	semidirect
185. C₂×C₄²×D₁₃	C₂²	semidirect
186. #11719175	C₂²	semidirect
222. C₁₃×C₄⋊Q₈	C₂³	semidirect
223. C₁₃×C₄⋊Q₈	C₂³	semidirect
225. C₁₃×#126	C₂³	semidirect
226. C₁₃×#126	C₂³	semidirect
227. C₁₃×#125	C₂³	semidirect
232. C₁₃×#124	C₂³	semidirect
233. C₁₃×#124	C₂³	semidirect
235. C₁₃×#123	C₂³	semidirect
236. C₁₃×#123	C₂³	semidirect
238. C₁₃×C₂²⋊Q₈	C₂³	semidirect
239. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₄×Q₈×C₁₃	C₂³	semidirect
243. C₄×Q₈×C₁₃	C₂³	semidirect
244. C₄×Q₈×C₁₃	C₂³	semidirect
245. C₄×Q₈×C₁₃	C₂³	semidirect
249. C₄×D₄×C₁₃	C₂³	semidirect
250. C₄×D₄×C₁₃	C₂³	semidirect
255. C₁₃×#117	C₂³	semidirect
256. C₁₃×#117	C₂³	semidirect
260. C₂×C₄²×C₁₃	C₂³	semidirect
268. #88201	C₂³	semidirect
269. #88201	C₂³	semidirect
271. #88200	C₂³	semidirect
272. #88200	C₂³	semidirect
273. Q₈×Dic₁₃	C₂³	semidirect
274. Q₈×Dic₁₃	C₂³	semidirect
275. Q₈×Dic₁₃	C₂³	semidirect
276. Q₈×Dic₁₃	C₂³	semidirect
277. #88198	C₂³	semidirect
278. #88198	C₂³	semidirect
279. #88198	C₂³	semidirect
291. #88190	C₂³	semidirect
292. #88190	C₂³	semidirect
294. #88189	C₂³	semidirect
295. #88189	C₂³	semidirect
299. D₄×Dic₁₃	C₂³	semidirect
300. D₄×Dic₁₃	C₂³	semidirect
303. #88183	C₂³	semidirect
304. #88183	C₂³	semidirect
309. C₄×C₂²⋊D₁₃	C₂³	semidirect
310. C₄×C₂²⋊D₁₃	C₂³	semidirect
311. C₄×C₂²⋊D₁₃	C₂³	semidirect
319. #88180	C₂³	semidirect
320. #88180	C₂³	semidirect
322. #88178	C₂³	semidirect
323. #88178	C₂³	semidirect
326. C₂×C₄×Dic₁₃	C₂³	semidirect
327. C₂×C₄×Dic₁₃	C₂³	semidirect
328. #88152	C₂³	semidirect
329. #88152	C₂³	semidirect
330. #88152	C₂³	semidirect
331. #88152	C₂³	semidirect
332. #88152	C₂³	semidirect
333. #88152	C₂³	semidirect
335. #88151	C₂³	semidirect
336. #88151	C₂³	semidirect
339. #88150	C₂³	semidirect
340. #88150	C₂³	semidirect
341. #88150	C₂³	semidirect
344. #88148	C₂³	semidirect
345. #88148	C₂³	semidirect
346. #88148	C₂³	semidirect
347. #88148	C₂³	semidirect
351. #88147	C₂³	semidirect
352. #88147	C₂³	semidirect
357. #88146	C₂³	semidirect
358. #88146	C₂³	semidirect
359. #88146	C₂³	semidirect
369. #88144	C₂³	semidirect
370. #88144	C₂³	semidirect
371. #88143	C₂³	semidirect
372. #88143	C₂³	semidirect
373. #88142	C₂³	semidirect
374. #88142	C₂³	semidirect
375. #88142	C₂³	semidirect
376. #88142	C₂³	semidirect
377. #88141	C₂³	semidirect
378. #88141	C₂³	semidirect
379. #88141	C₂³	semidirect
380. #88141	C₂³	semidirect
381. #88141	C₂³	semidirect
382. #88141	C₂³	semidirect
383. #88141	C₂³	semidirect
384. #88141	C₂³	semidirect
385. #88141	C₂³	semidirect
387. #88140	C₂³	semidirect
388. #88140	C₂³	semidirect
394. #88139	C₂³	semidirect
395. #88139	C₂³	semidirect
396. #88139	C₂³	semidirect
397. #88139	C₂³	semidirect
398. #88139	C₂³	semidirect
401. #88137	C₂³	semidirect
402. #88137	C₂³	semidirect
403. #88137	C₂³	semidirect
404. #88137	C₂³	semidirect
411. #88135	C₂³	semidirect
412. #88135	C₂³	semidirect
413. #88135	C₂³	semidirect
428. #88133	C₂³	semidirect
429. #88133	C₂³	semidirect
430. #88133	C₂³	semidirect
431. #88133	C₂³	semidirect
432. #88133	C₂³	semidirect
433. #88133	C₂³	semidirect
436. #88132	C₂³	semidirect
437. #88132	C₂³	semidirect
438. #88132	C₂³	semidirect
444. #88131	C₂³	semidirect
445. #88131	C₂³	semidirect
446. #88131	C₂³	semidirect
447. #88130	C₂³	semidirect
448. #88130	C₂³	semidirect
453. #88129	C₂³	semidirect
454. #88129	C₂³	semidirect
459. C₄×D₅₂	C₂³	semidirect
460. C₄×D₅₂	C₂³	semidirect
465. #88126	C₂³	semidirect
466. #88126	C₂³	semidirect
467. #88126	C₂³	semidirect
468. #88126	C₂³	semidirect
480. C₄²×D₁₃	C₂³	semidirect
481. C₄²×D₁₃	C₂³	semidirect
482. C₄²×D₁₃	C₂³	semidirect
483. #88124	C₂³	semidirect
484. #88123	C₂³	semidirect
485. #88123	C₂³	semidirect
486. C₄×Dic₂₆	C₂³	semidirect
487. C₄×Dic₂₆	C₂³	semidirect
488. C₄×Dic₂₆	C₂³	semidirect
489. C₄×Dic₂₆	C₂³	semidirect
490. C₄×Dic₂₆	C₂³	semidirect
491. C₄×Dic₂₆	C₂³	semidirect
492. C₄×Dic₂₆	C₂³	semidirect
493. C₄×Dic₂₆	C₂³	semidirect
494. C₄×Dic₂₆	C₂³	semidirect
702. #3510	D₁₃	direct (N × H)
829. #559	C₂×D₁₃	semidirect
841. #556	C₂×D₁₃	semidirect
857. #551	C₂×D₁₃	semidirect
869. #542	C₂×D₁₃	semidirect
877. #536	C₂×D₁₃	semidirect
893. #533	C₂×D₁₃	semidirect
908. #529	C₂×D₁₃	semidirect
925. C₂×#124	C₂×D₁₃	semidirect
940. #519	C₂×D₁₃	semidirect
947. #518	C₂×D₁₃	semidirect
956. C₄×#41	C₂×D₁₃	semidirect
1059. C₄⋊Q₈	C₂²×D₁₃	semidirect
1060. C₄⋊Q₈	C₂²×D₁₃	semidirect
1080. #126	C₂²×D₁₃	semidirect
1081. #126	C₂²×D₁₃	semidirect
1087. #125	C₂²×D₁₃	semidirect
1120. #124	C₂²×D₁₃	semidirect
1121. #124	C₂²×D₁₃	semidirect
1142. #123	C₂²×D₁₃	semidirect
1143. #123	C₂²×D₁₃	semidirect
1164. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1165. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1200. C₄×Q₈	C₂²×D₁₃	semidirect
1201. C₄×Q₈	C₂²×D₁₃	semidirect
1202. C₄×Q₈	C₂²×D₁₃	semidirect
1203. C₄×Q₈	C₂²×D₁₃	semidirect
1236. C₄×D₄	C₂²×D₁₃	semidirect
1237. C₄×D₄	C₂²×D₁₃	semidirect
1271. #117	C₂²×D₁₃	semidirect
1272. #117	C₂²×D₁₃	semidirect
1322. C₂×C₄²	C₂²×D₁₃	semidirect
1331. D₁₃	#3510	direct (N × H)
1526. C₁₃	C₂×#3510	semidirect

Maximal subgroups

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

subgroup	index
#13128735	2
#13128734	2
#13128733	2
#13128732	2
#13128731	2
#13128730	2
#13128729	2
#13128728	2
#13128727	2
#13128726	2
#13128725	2
#13128724	2
D₁₃×#559	2
D₁₃×#556	2
D₁₃×#551	2
D₁₃×#542	2
D₁₃×#536	2
D₁₃×#535	2
D₁₃×#533	2
D₁₃×#529	2
C₂×D₁₃×#124	2
D₁₃×#519	2
D₁₃×#518	2
C₄×#41×D₁₃	2
C₁₃×#3510	2
C₂×#3510	13

Subgroups — D13×#3510 #16771401

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3510 #16771401