Subgroups — C₁₃×#61266 #15747605

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3356	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3355	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3354	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3352	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3346	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3092	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2951	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#556	C₂²	1	2	yes	—
29	C₁₃×#555	—	2	1	no	—
30	C₁₃×#555	C₂²	1	2	yes	—
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#554	C₂²	1	2	yes	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	C₂²	1	2	yes	—
36	C₁₃×#553	C₂²	1	2	yes	—
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	—	2	1	no	—
39	C₁₃×#552	C₂²	1	2	yes	—
40	C₁₃×#552	C₂²	1	2	yes	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#544	C₂²	1	1	yes	characteristic
44	C₁₃×#544	C₂²	1	1	yes	characteristic
45	C₁₃×#539	—	2	2	no	—
46	C₁₃×#538	—	2	2	no	—
47	C₁₃×#537	C₂²	1	1	yes	characteristic
48	C₁₃×#537	C₂²	1	1	yes	characteristic
49	C₁₃×#529	—	2	2	no	—
50	C₁₃×#525	—	2	2	no	—
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₁₃×#525	C₂²	1	1	yes	characteristic
53	C₁₃×#525	C₂²	1	1	yes	characteristic
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic
57	C₁₃×#520	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
59	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#501	C₂²	1	2	yes	complemented
62	C₁₃×#499	C₂²	1	2	yes	complemented
63	C₁₃×#498	C₂²	1	2	yes	complemented
64	C₁₃×#485	C₂²	1	2	yes	—
65	C₁₃×#485	C₂²	1	2	yes	—
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	2	yes	complemented
70	C₁₃×#483	C₂²	1	2	yes	—
71	C₁₃×#483	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#481	C₂²	1	2	yes	—
77	C₁₃×#481	C₂²	1	2	yes	complemented
78	C₁₃×#480	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	complemented
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#477	C₂²	1	2	yes	complemented
85	C₁₃×#476	C₂²	1	2	yes	complemented
86	C₁₃×#475	C₂²	1	2	yes	complemented
87	C₁₃×#474	C₂²	1	2	yes	complemented
88	C₁₃×#470	C₂²	1	1	yes	characteristic
89	C₁₃×#470	C₂²	1	1	yes	characteristic
90	C₁₃×#470	C₂²	1	2	yes	complemented
91	C₁₃×#469	C₂²	1	1	yes	characteristic
92	C₁₃×#469	C₂²	1	1	yes	characteristic
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	1	yes	characteristic
95	C₁₃×#468	C₂²	1	1	yes	characteristic
96	C₁₃×#468	C₂²	1	1	yes	characteristic
97	C₁₃×#468	C₂²	1	1	yes	characteristic
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#440	C₂²	1	2	yes	complemented
101	C₁₃×#440	C₂²	1	2	yes	complemented
102	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
103	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
104	C₁₃×#436	C₂²	1	2	yes	—
105	C₁₃×#436	C₂²	1	2	yes	—
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	—
108	C₁₃×#428	C₂²	1	1	yes	characteristic
109	C₁₃×#428	C₂²	1	1	yes	characteristic
110	C₁₃×#428	C₂²	1	2	yes	—
111	C₁₃×#428	C₂²	1	2	yes	—
112	C₁₃×#428	C₂²	1	1	yes	characteristic
113	C₁₃×#428	C₂²	1	1	yes	characteristic
114	C₁₃×#428	C₂²	1	2	yes	—
115	C₁₃×#428	C₂²	1	2	yes	—
116	C₁₃×#428	C₂²	1	2	yes	complemented
117	C₁₃×#428	C₂²	1	2	yes	complemented
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	2	yes	complemented
120	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
121	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
123	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
124	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
125	C₁₃×#424	C₂²	1	1	yes	characteristic
126	C₁₃×#417	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#417	C₂²	1	1	yes	characteristic
129	C₁₃×#417	C₂²	1	1	yes	characteristic
130	C₁₃×#416	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#407	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	—	2	1	no	—
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#135	—	2	4	no	—
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
146	C₁₃×#131	—	2	4	no	—
147	C₂×C₁₃×M₁₆	—	2	4	no	—
148	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#126	—	2	2	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#125	—	2	2	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	1	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	1	no	—
181	C₁₃×#123	—	2	1	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	D₄	1	2	yes	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
195	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
199	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
200	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
201	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	D₄	1	1	yes	characteristic
210	C₁₃×#121	D₄	1	1	yes	characteristic
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#121	C₂³	1	2	yes	—
213	C₁₃×#121	C₂³	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	1	yes	characteristic
215	C₁₃×#121	C₂³	1	1	yes	characteristic
216	C₁₃×#121	C₂³	1	1	yes	characteristic
217	C₁₃×#120	—	2	1	no	—
218	C₁₃×#120	—	2	1	no	—
219	C₁₃×#120	D₄	1	2	yes	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	2	no	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₁₃×#117	—	2	1	no	—
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	—	2	1	no	—
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	—	2	2	no	—
247	C₁₃×#117	—	2	2	no	—
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	C₂³	1	1	yes	characteristic
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₁₃×#117	C₂³	1	2	yes	—
253	C₁₃×#117	C₂³	1	2	yes	—
254	C₁₃×#117	C₂³	1	2	yes	—
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
269	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₄²×C₁₃	—	2	1	no	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#107	C₂³	1	1	yes	characteristic
279	C₁₃×#107	C₂³	1	2	yes	—
280	C₁₃×#107	C₂³	1	2	yes	—
281	C₁₃×#106	C₂³	1	2	yes	—
282	C₁₃×#106	C₂³	1	2	yes	—
283	C₁₃×#106	C₂³	1	2	yes	—
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	1	yes	characteristic
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×#106	C₂³	1	2	yes	—
290	C₁₃×#106	C₂³	1	2	yes	—
291	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
292	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×#97	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61266	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	8	4	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
338	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	8	2	no	—
358	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₁₃×Q₁₆	—	2	2	no	—
366	C₁₃×SD₁₆	—	2	2	no	—
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×D₈	—	2	2	no	—
369	C₁₃×M₁₆	—	2	2	no	—
370	C₁₃×M₁₆	—	2	2	no	—
371	C₁₃×M₁₆	—	2	2	no	—
372	C₁₃×M₁₆	—	2	2	no	—
373	C₁₃×M₁₆	—	2	2	no	—
374	C₁₃×M₁₆	—	2	2	no	—
375	C₁₃×M₁₆	—	2	4	no	—
376	C₂×C₈×C₁₃	—	2	2	no	—
377	C₂×C₈×C₁₃	—	2	4	no	—
378	C₂×C₈×C₁₃	#41	1	4	yes	complemented
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	1	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	C₂⁴	1	2	yes	—
453	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3492	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3356	C₂×C₁₃	1	2	yes	complemented
456	#3355	C₂×C₁₃	1	2	yes	complemented
457	#3354	C₂×C₁₃	1	2	yes	complemented
458	#3352	C₂×C₁₃	1	2	yes	complemented
459	#3350	C₂×C₁₃	1	2	yes	complemented
460	#3348	C₂×C₁₃	1	2	yes	complemented
461	#3346	C₂×C₁₃	1	2	yes	complemented
462	#3343	C₂×C₁₃	1	2	yes	complemented
463	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3092	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3054	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2951	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2930	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂×#428	C₂×C₁₃	1	1	yes	characteristic, complemented
476	C₂³×C₁₃	—	2	2	no	—
477	C₂³×C₁₃	—	2	1	no	—
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	4	1	no	—
480	C₂³×C₁₃	—	4	1	no	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
483	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	Q₈×C₁₃	—	8	2	no	—
492	D₄×C₁₃	—	2	4	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	2	no	—
500	D₄×C₁₃	—	4	2	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	1	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	1	no	—
507	D₄×C₁₃	—	8	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	4	4	no	—
528	C₂×C₄×C₁₃	—	4	2	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	1	no	—
533	C₂×C₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	1	no	—
535	C₂×C₄×C₁₃	—	8	1	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	—	8	1	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
546	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
547	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	—	2	2	no	—
551	C₈×C₁₃	—	2	2	no	—
552	C₈×C₁₃	C₂×#41	1	2	yes	—
553	C₈×C₁₃	C₂×#41	1	2	yes	—
554	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
556	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
557	#556	—	2	1	no	—
558	#556	C₂²×C₁₃	1	2	yes	—
559	#555	—	2	1	no	—
560	#555	C₂²×C₁₃	1	2	yes	—
561	#554	—	2	1	no	—
562	#554	C₂²×C₁₃	1	2	yes	—
563	#553	—	2	1	no	—
564	#553	—	2	1	no	—
565	#553	C₂²×C₁₃	1	2	yes	—
566	#553	C₂²×C₁₃	1	2	yes	—
567	#552	—	2	1	no	—
568	#552	—	2	1	no	—
569	#552	C₂²×C₁₃	1	2	yes	—
570	#552	C₂²×C₁₃	1	2	yes	—
571	#547	—	2	1	no	—
572	#547	C₂²×C₁₃	1	2	yes	—
573	#544	C₂²×C₁₃	1	1	yes	characteristic
574	#544	C₂²×C₁₃	1	1	yes	characteristic
575	#539	—	2	2	no	—
576	#538	—	2	2	no	—
577	#537	C₂²×C₁₃	1	1	yes	characteristic
578	#537	C₂²×C₁₃	1	1	yes	characteristic
579	#529	—	2	2	no	—
580	#525	—	2	2	no	—
581	#525	C₂²×C₁₃	1	1	yes	characteristic
582	#525	C₂²×C₁₃	1	1	yes	characteristic
583	#525	C₂²×C₁₃	1	1	yes	characteristic
584	#520	C₂²×C₁₃	1	1	yes	characteristic
585	#520	C₂²×C₁₃	1	1	yes	characteristic
586	#520	C₂²×C₁₃	1	1	yes	characteristic
587	#520	C₂²×C₁₃	1	1	yes	characteristic
588	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
589	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
590	#501	C₂²×C₁₃	1	2	yes	complemented
591	#501	C₂²×C₁₃	1	2	yes	complemented
592	#499	C₂²×C₁₃	1	2	yes	complemented
593	#498	C₂²×C₁₃	1	2	yes	complemented
594	#485	C₂²×C₁₃	1	2	yes	—
595	#485	C₂²×C₁₃	1	2	yes	—
596	#485	C₂²×C₁₃	1	2	yes	complemented
597	#485	C₂²×C₁₃	1	2	yes	complemented
598	#484	C₂²×C₁₃	1	2	yes	—
599	#484	C₂²×C₁₃	1	2	yes	complemented
600	#483	C₂²×C₁₃	1	2	yes	—
601	#483	C₂²×C₁₃	1	2	yes	complemented
602	#482	C₂²×C₁₃	1	2	yes	—
603	#482	C₂²×C₁₃	1	2	yes	—
604	#482	C₂²×C₁₃	1	2	yes	complemented
605	#482	C₂²×C₁₃	1	2	yes	complemented
606	#481	C₂²×C₁₃	1	2	yes	—
607	#481	C₂²×C₁₃	1	2	yes	complemented
608	#480	C₂²×C₁₃	1	2	yes	—
609	#480	C₂²×C₁₃	1	2	yes	complemented
610	#479	C₂²×C₁₃	1	2	yes	complemented
611	#479	C₂²×C₁₃	1	2	yes	complemented
612	#478	C₂²×C₁₃	1	2	yes	complemented
613	#478	C₂²×C₁₃	1	2	yes	complemented
614	#477	C₂²×C₁₃	1	2	yes	complemented
615	#476	C₂²×C₁₃	1	2	yes	complemented
616	#475	C₂²×C₁₃	1	2	yes	complemented
617	#474	C₂²×C₁₃	1	2	yes	complemented
618	#470	C₂²×C₁₃	1	1	yes	characteristic
619	#470	C₂²×C₁₃	1	1	yes	characteristic
620	#470	C₂²×C₁₃	1	2	yes	complemented
621	#469	C₂²×C₁₃	1	1	yes	characteristic
622	#469	C₂²×C₁₃	1	1	yes	characteristic
623	#469	C₂²×C₁₃	1	2	yes	complemented
624	#468	C₂²×C₁₃	1	1	yes	characteristic
625	#468	C₂²×C₁₃	1	1	yes	characteristic
626	#468	C₂²×C₁₃	1	1	yes	characteristic
627	#468	C₂²×C₁₃	1	1	yes	characteristic
628	#465	C₂²×C₁₃	1	2	yes	complemented
629	#465	C₂²×C₁₃	1	2	yes	complemented
630	#440	C₂²×C₁₃	1	2	yes	complemented
631	#440	C₂²×C₁₃	1	2	yes	complemented
632	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
633	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
634	#436	C₂²×C₁₃	1	2	yes	—
635	#436	C₂²×C₁₃	1	2	yes	—
636	#435	C₂²×C₁₃	1	2	yes	—
637	#435	C₂²×C₁₃	1	2	yes	—
638	#428	C₂²×C₁₃	1	1	yes	characteristic
639	#428	C₂²×C₁₃	1	1	yes	characteristic
640	#428	C₂²×C₁₃	1	2	yes	—
641	#428	C₂²×C₁₃	1	2	yes	—
642	#428	C₂²×C₁₃	1	1	yes	characteristic
643	#428	C₂²×C₁₃	1	1	yes	characteristic
644	#428	C₂²×C₁₃	1	2	yes	—
645	#428	C₂²×C₁₃	1	2	yes	—
646	#428	C₂²×C₁₃	1	2	yes	complemented
647	#428	C₂²×C₁₃	1	2	yes	complemented
648	#427	C₂²×C₁₃	1	1	yes	characteristic
649	#427	C₂²×C₁₃	1	2	yes	complemented
650	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
653	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
655	#424	C₂²×C₁₃	1	1	yes	characteristic
656	#417	C₂²×C₁₃	1	1	yes	characteristic
657	#417	C₂²×C₁₃	1	1	yes	characteristic
658	#417	C₂²×C₁₃	1	1	yes	characteristic
659	#417	C₂²×C₁₃	1	1	yes	characteristic
660	#416	C₂²×C₁₃	1	1	yes	characteristic
661	#416	C₂²×C₁₃	1	1	yes	characteristic
662	#408	C₂²×C₁₃	1	1	yes	characteristic
663	#407	C₂²×C₁₃	1	1	yes	characteristic
664	#405	C₂²×C₁₃	1	1	yes	characteristic
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	4	4	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	#547	1	2	yes	—
684	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
685	C₄×C₁₃	—	2	2	no	—
686	C₄×C₁₃	—	2	2	no	—
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	4	2	no	—
691	C₄×C₁₃	—	4	2	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	2	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	#547	1	2	yes	—
701	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
702	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
703	C₂×#41	—	2	2	no	—
704	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
707	C₂³×C₄	—	2	1	no	—
708	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
709	#135	—	2	4	no	—
710	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
714	#131	—	2	4	no	—
715	C₂×M₁₆	—	2	4	no	—
716	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
723	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
724	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
725	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
729	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	2	no	—
739	#125	—	2	1	no	—
740	#125	—	2	1	no	—
741	#125	C₂³×C₁₃	1	2	yes	—
742	#125	C₂³×C₁₃	1	2	yes	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	1	no	—
749	#123	—	2	1	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	D₄×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
763	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
764	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	D₄×C₁₃	1	1	yes	characteristic
778	#121	D₄×C₁₃	1	1	yes	characteristic
779	#121	C₂³×C₁₃	1	1	yes	characteristic
780	#121	C₂³×C₁₃	1	1	yes	characteristic
781	#121	C₂³×C₁₃	1	1	yes	characteristic
782	#121	C₂³×C₁₃	1	1	yes	characteristic
783	#121	C₂³×C₁₃	1	2	yes	—
784	#121	C₂³×C₁₃	1	2	yes	—
785	#120	—	2	1	no	—
786	#120	—	2	1	no	—
787	#120	D₄×C₁₃	1	2	yes	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	2	no	—
791	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	C₂³×C₁₃	1	2	yes	—
807	C₄×D₄	C₂³×C₁₃	1	2	yes	—
808	C₄×D₄	C₂³×C₁₃	1	2	yes	—
809	C₄×D₄	C₂³×C₁₃	1	2	yes	—
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	—	2	1	no	—
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	—	2	2	no	—
817	#117	C₂³×C₁₃	1	2	yes	—
818	#117	C₂³×C₁₃	1	2	yes	—
819	#117	C₂³×C₁₃	1	1	yes	characteristic
820	#117	C₂³×C₁₃	1	1	yes	characteristic
821	#117	C₂³×C₁₃	1	2	yes	—
822	#117	C₂³×C₁₃	1	2	yes	—
823	#117	C₂³×C₁₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	—	2	1	no	—
827	C₂×C₄⋊C₄	—	2	1	no	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
836	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
837	C₂×C₂²⋊C₄	—	2	1	no	—
838	C₂×C₄²	—	2	1	no	—
839	#107	C₂³×C₁₃	1	2	yes	—
840	#107	C₂³×C₁₃	1	2	yes	—
841	#107	C₂³×C₁₃	1	2	yes	—
842	#107	C₂³×C₁₃	1	2	yes	—
843	#107	C₂³×C₁₃	1	1	yes	characteristic
844	#107	C₂³×C₁₃	1	2	yes	—
845	#107	C₂³×C₁₃	1	2	yes	—
846	#107	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	2	yes	—
848	#107	C₂³×C₁₃	1	2	yes	—
849	#106	C₂³×C₁₃	1	2	yes	—
850	#106	C₂³×C₁₃	1	2	yes	—
851	#106	C₂³×C₁₃	1	2	yes	—
852	#106	C₂³×C₁₃	1	2	yes	—
853	#106	C₂³×C₁₃	1	1	yes	characteristic
854	#106	C₂³×C₁₃	1	1	yes	characteristic
855	#106	C₂³×C₁₃	1	2	yes	—
856	#106	C₂³×C₁₃	1	2	yes	—
857	#106	C₂³×C₁₃	1	2	yes	—
858	#106	C₂³×C₁₃	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	1	yes	characteristic
862	#103	C₂³×C₁₃	1	1	yes	characteristic
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	2	yes	—
866	#103	C₂³×C₁₃	1	2	yes	—
867	#103	C₂³×C₁₃	1	2	yes	—
868	#103	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	1	yes	characteristic
870	#102	C₂³×C₁₃	1	1	yes	characteristic
871	#102	C₂³×C₁₃	1	1	yes	characteristic
872	#102	C₂³×C₁₃	1	1	yes	characteristic
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	2	yes	—
875	#102	C₂³×C₁₃	1	2	yes	—
876	#102	C₂³×C₁₃	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
878	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
879	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
881	#97	C₂³×C₁₃	1	2	yes	—
882	C₄×C₈	C₂³×C₁₃	1	2	yes	—
883	C₂×C₁₃	—	2	2	no	—
884	C₂×C₁₃	—	4	2	no	—
885	C₂×C₁₃	—	4	1	no	—
886	C₂×C₁₃	—	4	1	no	—
887	C₂×C₁₃	—	8	1	no	—
888	C₂×C₁₃	—	8	1	no	—
889	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
890	C₂×C₁₃	#3585	1	1	yes	characteristic
891	C₂×C₁₃	#3586	1	1	yes	characteristic
892	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
893	#41	—	2	2	no	—
894	#41	—	2	2	no	—
895	#41	—	2	2	no	—
896	#41	—	2	2	no	—
897	#41	—	2	2	no	—
898	#41	—	2	2	no	—
899	#41	—	8	4	no	—
900	C₂×Q₈	—	2	2	no	—
901	C₂×Q₈	—	2	2	no	—
902	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
903	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
914	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
916	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
917	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	8	2	no	—
934	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
938	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
941	Q₁₆	—	2	2	no	—
942	SD₁₆	—	2	2	no	—
943	SD₁₆	—	2	2	no	—
944	D₈	—	2	2	no	—
945	M₁₆	—	2	2	no	—
946	M₁₆	—	2	2	no	—
947	M₁₆	—	2	2	no	—
948	M₁₆	—	2	2	no	—
949	M₁₆	—	2	2	no	—
950	M₁₆	—	2	2	no	—
951	M₁₆	—	2	4	no	—
952	C₂×C₈	—	2	2	no	—
953	C₂×C₈	—	2	4	no	—
954	C₂×C₈	C₁₃×#41	1	4	yes	complemented
955	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
956	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
988	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
991	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1018	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1019	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	2	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	C₂⁴×C₁₃	1	2	yes	—
1029	C₁₃	#61266	1	1	yes	characteristic, direct product factor, Sylow
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	4	1	no	—
1034	C₂³	—	4	1	no	—
1035	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1037	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1038	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	1	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	2	no	—
1046	D₄	—	2	4	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	1	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	8	1	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	1	no	—
1061	D₄	—	8	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	4	4	no	—
1082	C₂×C₄	—	4	2	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	—	8	1	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	1	no	—
1089	C₂×C₄	—	8	1	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1094	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1095	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1096	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1097	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1098	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1100	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1101	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1102	C₈	—	2	1	no	—
1103	C₈	—	2	1	no	—
1104	C₈	—	2	2	no	—
1105	C₈	—	2	2	no	—
1106	C₈	C₂×C₁₃×#41	1	2	yes	—
1107	C₈	C₂×C₁₃×#41	1	2	yes	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	4	4	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	C₁₃×#547	1	2	yes	—
1127	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	C₁₃×#547	1	2	yes	—
1144	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1145	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1146	C₂	—	2	2	no	—
1147	C₂	—	4	1	no	—
1148	C₂	—	4	1	no	—
1149	C₂	—	4	2	no	—
1150	C₂	—	8	1	no	—
1151	C₂	—	8	1	no	—
1152	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1153	C₂	C₁₃×#3585	1	1	yes	characteristic
1154	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3493	C₂	semidirect
2. C₁₃×#3492	C₂	semidirect
3. C₁₃×#3356	C₂	semidirect
4. C₁₃×#3355	C₂	semidirect
5. C₁₃×#3354	C₂	semidirect
6. C₁₃×#3352	C₂	semidirect
7. C₁₃×#3350	C₂	semidirect
8. C₁₃×#3348	C₂	semidirect
9. C₁₃×#3346	C₂	semidirect
10. C₁₃×#3343	C₂	semidirect
11. C₁₃×#3163	C₂	semidirect
12. C₁₃×#3099	C₂	semidirect
13. C₁₃×#3098	C₂	semidirect
14. C₁₃×#3093	C₂	semidirect
15. C₁₃×#3092	C₂	semidirect
16. C₁₃×#3084	C₂	semidirect
17. C₁₃×#3083	C₂	semidirect
18. C₁₃×#3060	C₂	semidirect
19. C₁₃×#3054	C₂	semidirect
20. C₁₃×#2951	C₂	semidirect
21. C₁₃×#2930	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₂×C₁₃×#428	C₂	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#498	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
71. C₁₃×#483	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
77. C₁₃×#481	C₂²	semidirect
79. C₁₃×#480	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#475	C₂²	semidirect
87. C₁₃×#474	C₂²	semidirect
90. C₁₃×#470	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#440	C₂²	semidirect
101. C₁₃×#440	C₂²	semidirect
102. C₄×C₁₃×Q₁₆	C₂²	semidirect
103. C₄×C₁₃×D₈	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#428	C₂²	semidirect
119. C₁₃×#427	C₂²	semidirect
122. C₂×C₁₃×#107	C₂²	semidirect
315. #61266	C₁₃	direct (N × H)
378. C₂×C₈×C₁₃	#41	semidirect
453. #3493	C₂×C₁₃	semidirect
454. #3492	C₂×C₁₃	semidirect
455. #3356	C₂×C₁₃	semidirect
456. #3355	C₂×C₁₃	semidirect
457. #3354	C₂×C₁₃	semidirect
458. #3352	C₂×C₁₃	semidirect
459. #3350	C₂×C₁₃	semidirect
460. #3348	C₂×C₁₃	semidirect
461. #3346	C₂×C₁₃	semidirect
462. #3343	C₂×C₁₃	semidirect
463. #3163	C₂×C₁₃	semidirect
464. #3099	C₂×C₁₃	semidirect
465. #3098	C₂×C₁₃	semidirect
466. #3093	C₂×C₁₃	semidirect
467. #3092	C₂×C₁₃	semidirect
468. #3084	C₂×C₁₃	semidirect
469. #3083	C₂×C₁₃	semidirect
470. #3060	C₂×C₁₃	semidirect
471. #3054	C₂×C₁₃	semidirect
472. #2951	C₂×C₁₃	semidirect
473. #2930	C₂×C₁₃	semidirect
474. #2913	C₂×C₁₃	semidirect
475. C₂×#428	C₂×C₁₃	semidirect
590. #501	C₂²×C₁₃	semidirect
591. #501	C₂²×C₁₃	semidirect
592. #499	C₂²×C₁₃	semidirect
593. #498	C₂²×C₁₃	semidirect
596. #485	C₂²×C₁₃	semidirect
597. #485	C₂²×C₁₃	semidirect
599. #484	C₂²×C₁₃	semidirect
601. #483	C₂²×C₁₃	semidirect
604. #482	C₂²×C₁₃	semidirect
605. #482	C₂²×C₁₃	semidirect
607. #481	C₂²×C₁₃	semidirect
609. #480	C₂²×C₁₃	semidirect
610. #479	C₂²×C₁₃	semidirect
611. #479	C₂²×C₁₃	semidirect
612. #478	C₂²×C₁₃	semidirect
613. #478	C₂²×C₁₃	semidirect
614. #477	C₂²×C₁₃	semidirect
615. #476	C₂²×C₁₃	semidirect
616. #475	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
620. #470	C₂²×C₁₃	semidirect
623. #469	C₂²×C₁₃	semidirect
628. #465	C₂²×C₁₃	semidirect
629. #465	C₂²×C₁₃	semidirect
630. #440	C₂²×C₁₃	semidirect
631. #440	C₂²×C₁₃	semidirect
632. C₄×Q₁₆	C₂²×C₁₃	semidirect
633. C₄×D₈	C₂²×C₁₃	semidirect
646. #428	C₂²×C₁₃	semidirect
647. #428	C₂²×C₁₃	semidirect
649. #427	C₂²×C₁₃	semidirect
652. C₂×#107	C₂²×C₁₃	semidirect
954. C₂×C₈	C₁₃×#41	semidirect
1029. C₁₃	#61266	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3493	2
C₁₃×#3492	2
C₁₃×#3356	2
C₁₃×#3355	2
C₁₃×#3354	2
C₁₃×#3352	2
C₁₃×#3350	2
C₁₃×#3348	2
C₁₃×#3346	2
C₁₃×#3343	2
C₁₃×#3163	2
C₁₃×#3099	2
C₁₃×#3098	2
C₁₃×#3093	2
C₁₃×#3092	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3060	2
C₁₃×#3054	2
C₁₃×#2951	2
C₁₃×#2930	2
C₁₃×#2913	2
C₂×C₁₃×#428	2
#61266	13

Subgroups — C13×#61266 #15747605

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61266 #15747605