Subgroups — C₁₃×#61276 #15747615

Order 3328.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1152 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3354	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3340	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3339	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×#3096	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2911	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	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	complemented
29	C₁₃×#555	—	2	1	no	—
30	C₁₃×#555	C₂²	1	2	yes	—
31	C₁₃×#555	C₂²	1	2	yes	complemented
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	C₂²	1	2	yes	—
34	C₁₃×#553	C₂²	1	2	yes	—
35	C₁₃×#553	C₂²	1	2	yes	complemented
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	2	yes	complemented
38	C₁₃×#551	—	2	2	no	—
39	C₁₃×#547	C₂²	1	2	yes	—
40	C₁₃×#546	—	2	2	no	—
41	C₁₃×#544	C₂²	1	1	yes	characteristic
42	C₁₃×#544	C₂²	1	1	yes	characteristic
43	C₁₃×#542	—	2	1	no	—
44	C₁₃×#540	—	2	1	no	—
45	C₁₃×#538	—	2	2	no	—
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#532	—	2	1	no	—
49	C₁₃×#529	—	2	2	no	—
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₁₃×#525	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#121	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×#518	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#117	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	1	yes	characteristic, complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#482	C₂²	1	2	yes	—
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#481	C₂²	1	2	yes	complemented
81	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#480	C₂²	1	2	yes	complemented
83	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#479	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#478	C₂²	1	2	yes	complemented
87	C₁₃×#478	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	2	yes	complemented
89	C₁₃×#476	C₂²	1	2	yes	complemented
90	C₁₃×#474	C₂²	1	2	yes	complemented
91	C₁₃×#474	C₂²	1	2	yes	complemented
92	C₁₃×#469	C₂²	1	2	yes	—
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#466	C₂²	1	2	yes	—
97	C₁₃×#466	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	complemented
101	C₁₃×#440	C₂²	1	2	yes	complemented
102	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
103	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
104	C₁₃×#436	C₂²	1	2	yes	complemented
105	C₁₃×#435	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
108	C₁₃×#428	C₂²	1	1	yes	characteristic
109	C₁₃×#428	C₂²	1	1	yes	characteristic
110	C₁₃×#428	C₂²	1	1	yes	characteristic
111	C₁₃×#428	C₂²	1	1	yes	characteristic
112	C₁₃×#428	C₂²	1	1	yes	characteristic
113	C₁₃×#428	C₂²	1	2	yes	complemented
114	C₁₃×#428	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	2	yes	complemented
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	2	yes	complemented
120	C₁₃×#427	C₂²	1	2	yes	complemented
121	C₁₃×#427	C₂²	1	2	yes	complemented
122	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
123	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
124	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
125	C₁₃×#424	C₂²	1	1	yes	characteristic
126	C₁₃×#418	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×C₂²⋊C₈	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	C₂²×D₄×C₁₃	—	2	1	no	—
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
142	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×D₈	C₂³	1	2	yes	—
144	C₁₃×#131	—	2	4	no	—
145	C₂×C₁₃×M₁₆	—	2	4	no	—
146	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₃×#127	—	2	1	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#125	—	2	1	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	2	1	no	—
168	C₁₃×#125	C₂³	1	2	yes	—
169	C₁₃×#125	C₂³	1	2	yes	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	—	2	2	no	—
174	C₁₃×#124	—	2	2	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	1	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	D₄	1	2	yes	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
189	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
190	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
191	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
193	C₁₃×#121	—	2	2	no	—
194	C₁₃×#121	—	2	2	no	—
195	C₁₃×#121	—	2	1	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	D₄	1	1	yes	characteristic
203	C₁₃×#121	D₄	1	1	yes	characteristic
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	1	yes	characteristic
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#121	C₂³	1	1	yes	characteristic
211	C₁₃×#120	—	2	1	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	D₄	1	2	yes	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	2	no	—
217	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
218	C₄×D₄×C₁₃	—	2	2	no	—
219	C₄×D₄×C₁₃	—	2	1	no	—
220	C₄×D₄×C₁₃	—	2	2	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
235	C₁₃×#117	—	2	1	no	—
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	1	no	—
238	C₁₃×#117	—	2	1	no	—
239	C₁₃×#117	—	2	1	no	—
240	C₁₃×#117	—	2	2	no	—
241	C₁₃×#117	—	2	2	no	—
242	C₁₃×#117	—	2	2	no	—
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	2	yes	—
247	C₁₃×#117	C₂³	1	1	yes	characteristic
248	C₁₃×#117	C₂³	1	1	yes	characteristic
249	C₁₃×#117	C₂³	1	2	yes	—
250	C₁₃×#117	C₂³	1	2	yes	—
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₁₃×#117	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₄²×C₁₃	—	2	1	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×#106	C₂³	1	1	yes	characteristic
281	C₁₃×#106	C₂³	1	1	yes	characteristic
282	C₁₃×#106	C₂³	1	1	yes	characteristic
283	C₁₃×#106	C₂³	1	1	yes	characteristic
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	2	yes	—
286	C₁₃×#106	C₂³	1	2	yes	—
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#61276	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
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	—	8	4	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	8	2	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	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	—	2	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×SD₁₆	—	2	4	no	—
366	C₁₃×D₈	—	2	4	no	—
367	C₁₃×M₁₆	—	2	2	no	—
368	C₁₃×M₁₆	—	2	4	no	—
369	C₁₃×M₁₆	—	2	4	no	—
370	C₁₃×M₁₆	#41	1	4	yes	complemented
371	C₂×C₈×C₁₃	—	2	2	no	—
372	C₂×C₈×C₁₃	—	2	2	no	—
373	C₂×C₈×C₁₃	—	2	4	no	—
374	C₂×C₈×C₁₃	—	2	4	no	—
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₄	—	2	1	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	#3494	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3354	C₂×C₁₃	1	2	yes	complemented
452	#3351	C₂×C₁₃	1	2	yes	complemented
453	#3350	C₂×C₁₃	1	2	yes	complemented
454	#3347	C₂×C₁₃	1	2	yes	complemented
455	#3347	C₂×C₁₃	1	2	yes	complemented
456	#3343	C₂×C₁₃	1	2	yes	complemented
457	#3340	C₂×C₁₃	1	2	yes	complemented
458	#3339	C₂×C₁₃	1	2	yes	complemented
459	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3091	C₂×C₁₃	1	1	yes	characteristic, complemented
463	C₂×#482	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2911	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	—	2	2	no	—
475	C₂³×C₁₃	—	4	1	no	—
476	C₂³×C₁₃	—	4	1	no	—
477	C₂³×C₁₃	—	4	2	no	—
478	C₂³×C₁₃	—	8	1	no	—
479	C₂³×C₁₃	—	8	1	no	—
480	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
483	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	1	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	Q₈×C₁₃	—	8	2	no	—
489	D₄×C₁₃	—	2	4	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	2	no	—
497	D₄×C₁₃	—	4	4	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	2	no	—
500	D₄×C₁₃	—	8	2	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	1	no	—
503	D₄×C₁₃	—	8	1	no	—
504	D₄×C₁₃	—	8	2	no	—
505	D₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	1	no	—
531	C₂×C₄×C₁₃	—	8	1	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	2	no	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
543	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
544	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
545	C₈×C₁₃	—	2	1	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	2	no	—
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	C₂×#41	1	4	yes	—
551	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
552	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
553	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
554	#556	—	2	1	no	—
555	#556	C₂²×C₁₃	1	2	yes	complemented
556	#555	—	2	1	no	—
557	#555	C₂²×C₁₃	1	2	yes	—
558	#555	C₂²×C₁₃	1	2	yes	complemented
559	#553	—	2	1	no	—
560	#553	C₂²×C₁₃	1	2	yes	—
561	#553	C₂²×C₁₃	1	2	yes	—
562	#553	C₂²×C₁₃	1	2	yes	complemented
563	#552	—	2	1	no	—
564	#552	C₂²×C₁₃	1	2	yes	complemented
565	#551	—	2	2	no	—
566	#547	C₂²×C₁₃	1	2	yes	—
567	#546	—	2	2	no	—
568	#544	C₂²×C₁₃	1	1	yes	characteristic
569	#544	C₂²×C₁₃	1	1	yes	characteristic
570	#542	—	2	1	no	—
571	#540	—	2	1	no	—
572	#538	—	2	2	no	—
573	#537	C₂²×C₁₃	1	1	yes	characteristic
574	#535	C₂²×C₁₃	1	1	yes	characteristic
575	#532	—	2	1	no	—
576	#529	—	2	2	no	—
577	#529	—	2	1	no	—
578	#525	C₂²×C₁₃	1	1	yes	characteristic
579	#525	C₂²×C₁₃	1	1	yes	characteristic
580	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
581	#520	C₂²×C₁₃	1	1	yes	characteristic
582	#520	C₂²×C₁₃	1	1	yes	characteristic
583	#520	C₂²×C₁₃	1	1	yes	characteristic
584	#518	C₂²×C₁₃	1	1	yes	characteristic
585	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
586	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
587	#501	C₂²×C₁₃	1	2	yes	complemented
588	#501	C₂²×C₁₃	1	2	yes	complemented
589	#499	C₂²×C₁₃	1	2	yes	complemented
590	#498	C₂²×C₁₃	1	2	yes	complemented
591	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#485	C₂²×C₁₃	1	2	yes	complemented
593	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#483	C₂²×C₁₃	1	2	yes	complemented
596	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#482	C₂²×C₁₃	1	2	yes	—
598	#482	C₂²×C₁₃	1	2	yes	—
599	#482	C₂²×C₁₃	1	2	yes	—
600	#482	C₂²×C₁₃	1	2	yes	—
601	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#482	C₂²×C₁₃	1	2	yes	complemented
603	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#482	C₂²×C₁₃	1	2	yes	complemented
605	#482	C₂²×C₁₃	1	2	yes	complemented
606	#481	C₂²×C₁₃	1	2	yes	complemented
607	#481	C₂²×C₁₃	1	2	yes	complemented
608	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#480	C₂²×C₁₃	1	2	yes	complemented
610	#480	C₂²×C₁₃	1	1	yes	characteristic, 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	#478	C₂²×C₁₃	1	2	yes	complemented
615	#477	C₂²×C₁₃	1	2	yes	complemented
616	#476	C₂²×C₁₃	1	2	yes	complemented
617	#474	C₂²×C₁₃	1	2	yes	complemented
618	#474	C₂²×C₁₃	1	2	yes	complemented
619	#469	C₂²×C₁₃	1	2	yes	—
620	#469	C₂²×C₁₃	1	2	yes	complemented
621	#468	C₂²×C₁₃	1	2	yes	—
622	#468	C₂²×C₁₃	1	2	yes	complemented
623	#466	C₂²×C₁₃	1	2	yes	—
624	#466	C₂²×C₁₃	1	2	yes	complemented
625	#465	C₂²×C₁₃	1	2	yes	—
626	#465	C₂²×C₁₃	1	2	yes	complemented
627	#442	C₂²×C₁₃	1	2	yes	complemented
628	#440	C₂²×C₁₃	1	2	yes	complemented
629	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
630	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
631	#436	C₂²×C₁₃	1	2	yes	complemented
632	#435	C₂²×C₁₃	1	2	yes	complemented
633	#435	C₂²×C₁₃	1	2	yes	complemented
634	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
635	#428	C₂²×C₁₃	1	1	yes	characteristic
636	#428	C₂²×C₁₃	1	1	yes	characteristic
637	#428	C₂²×C₁₃	1	1	yes	characteristic
638	#428	C₂²×C₁₃	1	1	yes	characteristic
639	#428	C₂²×C₁₃	1	1	yes	characteristic
640	#428	C₂²×C₁₃	1	2	yes	complemented
641	#428	C₂²×C₁₃	1	2	yes	complemented
642	#428	C₂²×C₁₃	1	2	yes	complemented
643	#428	C₂²×C₁₃	1	2	yes	complemented
644	#427	C₂²×C₁₃	1	1	yes	characteristic
645	#427	C₂²×C₁₃	1	1	yes	characteristic
646	#427	C₂²×C₁₃	1	2	yes	complemented
647	#427	C₂²×C₁₃	1	2	yes	complemented
648	#427	C₂²×C₁₃	1	2	yes	complemented
649	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
650	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
651	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
652	#424	C₂²×C₁₃	1	1	yes	characteristic
653	#418	C₂²×C₁₃	1	1	yes	characteristic
654	#417	C₂²×C₁₃	1	1	yes	characteristic
655	#416	C₂²×C₁₃	1	1	yes	characteristic
656	#416	C₂²×C₁₃	1	1	yes	characteristic
657	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
658	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
659	#408	C₂²×C₁₃	1	1	yes	characteristic
660	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
661	#405	C₂²×C₁₃	1	1	yes	characteristic
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	1	no	—
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	2	2	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	1	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	8	2	no	—
680	C₂²×C₁₃	—	16	2	no	—
681	C₂²×C₁₃	#547	1	2	yes	—
682	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	2	1	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	1	no	—
690	C₄×C₁₃	—	4	2	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	—	4	2	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	#547	1	2	yes	—
699	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
700	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
701	C₂×#41	—	2	2	no	—
702	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
704	C₂²×D₄	—	2	1	no	—
705	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
707	AGL(1,ℤ/8)	—	2	4	no	—
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×D₈	C₂³×C₁₃	1	2	yes	—
710	#131	—	2	4	no	—
711	C₂×M₁₆	—	2	4	no	—
712	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
716	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
717	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
719	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	#127	—	2	1	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#125	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	C₂³×C₁₃	1	2	yes	—
735	#125	C₂³×C₁₃	1	2	yes	—
736	#124	—	2	1	no	—
737	#124	—	2	2	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	1	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	D₄×C₁₃	1	2	yes	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
755	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
756	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	#121	—	2	2	no	—
760	#121	—	2	2	no	—
761	#121	—	2	1	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	D₄×C₁₃	1	1	yes	characteristic
769	#121	D₄×C₁₃	1	1	yes	characteristic
770	#121	C₂³×C₁₃	1	2	yes	—
771	#121	C₂³×C₁₃	1	2	yes	—
772	#121	C₂³×C₁₃	1	1	yes	characteristic
773	#121	C₂³×C₁₃	1	1	yes	characteristic
774	#121	C₂³×C₁₃	1	2	yes	—
775	#121	C₂³×C₁₃	1	2	yes	—
776	#121	C₂³×C₁₃	1	2	yes	—
777	#120	—	2	1	no	—
778	#120	—	2	2	no	—
779	#120	D₄×C₁₃	1	2	yes	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	2	no	—
783	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	C₂³×C₁₃	1	2	yes	—
797	C₄×D₄	C₂³×C₁₃	1	2	yes	—
798	C₄×D₄	C₂³×C₁₃	1	2	yes	—
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	C₄×D₄	C₂³×C₁₃	1	2	yes	—
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	2	no	—
807	#117	—	2	2	no	—
808	#117	—	2	2	no	—
809	#117	C₂³×C₁₃	1	1	yes	characteristic
810	#117	C₂³×C₁₃	1	1	yes	characteristic
811	#117	C₂³×C₁₃	1	2	yes	—
812	#117	C₂³×C₁₃	1	1	yes	characteristic
813	#117	C₂³×C₁₃	1	2	yes	—
814	#117	C₂³×C₁₃	1	1	yes	characteristic
815	#117	C₂³×C₁₃	1	1	yes	characteristic
816	#117	C₂³×C₁₃	1	2	yes	—
817	#117	C₂³×C₁₃	1	2	yes	—
818	#117	C₂³×C₁₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
826	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
827	C₂×C₂²⋊C₄	—	2	1	no	—
828	C₂×C₂²⋊C₄	—	2	1	no	—
829	C₂×C₂²⋊C₄	—	2	1	no	—
830	C₂×C₂²⋊C₄	—	2	2	no	—
831	C₂×C₄²	—	2	1	no	—
832	C₂×C₄²	—	2	1	no	—
833	#107	C₂³×C₁₃	1	2	yes	—
834	#107	C₂³×C₁₃	1	2	yes	—
835	#107	C₂³×C₁₃	1	1	yes	characteristic
836	#107	C₂³×C₁₃	1	2	yes	—
837	#107	C₂³×C₁₃	1	2	yes	—
838	#107	C₂³×C₁₃	1	1	yes	characteristic
839	#107	C₂³×C₁₃	1	1	yes	characteristic
840	#107	C₂³×C₁₃	1	1	yes	characteristic
841	#107	C₂³×C₁₃	1	2	yes	—
842	#107	C₂³×C₁₃	1	2	yes	—
843	#107	C₂³×C₁₃	1	2	yes	—
844	#106	C₂³×C₁₃	1	2	yes	—
845	#106	C₂³×C₁₃	1	2	yes	—
846	#106	C₂³×C₁₃	1	1	yes	characteristic
847	#106	C₂³×C₁₃	1	1	yes	characteristic
848	#106	C₂³×C₁₃	1	1	yes	characteristic
849	#106	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
854	#106	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	1	yes	characteristic
858	#103	C₂³×C₁₃	1	1	yes	characteristic
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	1	yes	characteristic
861	#103	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	1	yes	characteristic
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	1	yes	characteristic
869	#102	C₂³×C₁₃	1	1	yes	characteristic
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
878	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
879	#97	C₂³×C₁₃	1	2	yes	—
880	C₄×C₈	C₂³×C₁₃	1	2	yes	—
881	C₂×C₁₃	—	2	2	no	—
882	C₂×C₁₃	—	4	2	no	—
883	C₂×C₁₃	—	4	1	no	—
884	C₂×C₁₃	—	4	1	no	—
885	C₂×C₁₃	—	8	1	no	—
886	C₂×C₁₃	—	8	2	no	—
887	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
888	C₂×C₁₃	#3584	1	1	yes	characteristic
889	C₂×C₁₃	#3585	1	1	yes	characteristic
890	C₂⁴	—	2	1	no	—
891	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
892	#41	—	2	2	no	—
893	#41	—	2	2	no	—
894	#41	—	2	2	no	—
895	#41	—	2	2	no	—
896	#41	—	8	4	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	8	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	2	yes	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
936	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
939	SD₁₆	—	2	4	no	—
940	D₈	—	2	4	no	—
941	M₁₆	—	2	2	no	—
942	M₁₆	—	2	4	no	—
943	M₁₆	—	2	4	no	—
944	M₁₆	C₁₃×#41	1	4	yes	complemented
945	C₂×C₈	—	2	2	no	—
946	C₂×C₈	—	2	2	no	—
947	C₂×C₈	—	2	4	no	—
948	C₂×C₈	—	2	4	no	—
949	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
982	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1010	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1011	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	C₂⁴×C₁₃	1	2	yes	—
1023	C₁₃	#61276	1	1	yes	characteristic, direct product factor, Sylow
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	4	1	no	—
1028	C₂³	—	4	1	no	—
1029	C₂³	—	4	2	no	—
1030	C₂³	—	8	1	no	—
1031	C₂³	—	8	1	no	—
1032	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1033	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1034	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1035	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	8	2	no	—
1040	Q₈	—	8	2	no	—
1041	D₄	—	2	4	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	2	2	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	4	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	1	no	—
1056	D₄	—	8	1	no	—
1057	D₄	—	8	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	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	—	4	2	no	—
1078	C₂×C₄	—	4	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	2	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	1	no	—
1083	C₂×C₄	—	8	1	no	—
1084	C₂×C₄	—	8	1	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1089	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1091	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1092	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1093	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1095	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1096	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1097	C₈	—	2	1	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	2	1	no	—
1102	C₈	C₂×C₁₃×#41	1	4	yes	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	8	2	no	—
1121	C₂²	—	16	2	no	—
1122	C₂²	C₁₃×#547	1	2	yes	—
1123	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1124	C₄	—	2	2	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	C₁₃×#547	1	2	yes	—
1140	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1141	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1142	C₂	—	2	2	no	—
1143	C₂	—	4	1	no	—
1144	C₂	—	4	1	no	—
1145	C₂	—	4	2	no	—
1146	C₂	—	8	2	no	—
1147	C₂	—	8	1	no	—
1148	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1149	C₂	C₁₃×#3584	1	1	yes	characteristic
1150	C₂	C₁₃×#3585	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×#3494	C₂	semidirect
2. C₁₃×#3493	C₂	semidirect
3. C₁₃×#3354	C₂	semidirect
4. C₁₃×#3351	C₂	semidirect
5. C₁₃×#3350	C₂	semidirect
6. C₁₃×#3347	C₂	semidirect
7. C₁₃×#3347	C₂	semidirect
8. C₁₃×#3343	C₂	semidirect
9. C₁₃×#3340	C₂	semidirect
10. C₁₃×#3339	C₂	semidirect
11. C₁₃×#3163	C₂	semidirect
12. C₁₃×#3099	C₂	semidirect
13. C₁₃×#3096	C₂	semidirect
14. C₁₃×#3091	C₂	semidirect
15. C₂×C₁₃×#482	C₂	semidirect
16. C₁₃×#3083	C₂	semidirect
17. C₁₃×#3081	C₂	semidirect
18. C₁₃×#3062	C₂	semidirect
19. C₁₃×#3055	C₂	semidirect
20. C₁₃×#2946	C₂	semidirect
21. C₁₃×#2933	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₁₃×#2911	C₂	semidirect
28. C₁₃×#556	C₂²	semidirect
31. C₁₃×#555	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#498	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
81. C₁₃×#481	C₂²	semidirect
82. C₁₃×#480	C₂²	semidirect
83. C₁₃×#480	C₂²	semidirect
84. C₁₃×#479	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#474	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
97. C₁₃×#466	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#442	C₂²	semidirect
101. C₁₃×#440	C₂²	semidirect
102. C₄×C₁₃×SD₁₆	C₂²	semidirect
103. C₄×C₁₃×D₈	C₂²	semidirect
104. C₁₃×#436	C₂²	semidirect
105. C₁₃×#435	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₈×D₄×C₁₃	C₂²	semidirect
113. C₁₃×#428	C₂²	semidirect
114. C₁₃×#428	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
119. C₁₃×#427	C₂²	semidirect
120. C₁₃×#427	C₂²	semidirect
121. C₁₃×#427	C₂²	semidirect
123. C₂×C₁₃×#107	C₂²	semidirect
315. #61276	C₁₃	direct (N × H)
370. C₁₃×M₁₆	#41	semidirect
449. #3494	C₂×C₁₃	semidirect
450. #3493	C₂×C₁₃	semidirect
451. #3354	C₂×C₁₃	semidirect
452. #3351	C₂×C₁₃	semidirect
453. #3350	C₂×C₁₃	semidirect
454. #3347	C₂×C₁₃	semidirect
455. #3347	C₂×C₁₃	semidirect
456. #3343	C₂×C₁₃	semidirect
457. #3340	C₂×C₁₃	semidirect
458. #3339	C₂×C₁₃	semidirect
459. #3163	C₂×C₁₃	semidirect
460. #3099	C₂×C₁₃	semidirect
461. #3096	C₂×C₁₃	semidirect
462. #3091	C₂×C₁₃	semidirect
463. C₂×#482	C₂×C₁₃	semidirect
464. #3083	C₂×C₁₃	semidirect
465. #3081	C₂×C₁₃	semidirect
466. #3062	C₂×C₁₃	semidirect
467. #3055	C₂×C₁₃	semidirect
468. #2946	C₂×C₁₃	semidirect
469. #2933	C₂×C₁₃	semidirect
470. #2913	C₂×C₁₃	semidirect
471. #2911	C₂×C₁₃	semidirect
555. #556	C₂²×C₁₃	semidirect
558. #555	C₂²×C₁₃	semidirect
562. #553	C₂²×C₁₃	semidirect
564. #552	C₂²×C₁₃	semidirect
587. #501	C₂²×C₁₃	semidirect
588. #501	C₂²×C₁₃	semidirect
589. #499	C₂²×C₁₃	semidirect
590. #498	C₂²×C₁₃	semidirect
591. #485	C₂²×C₁₃	semidirect
592. #485	C₂²×C₁₃	semidirect
593. #485	C₂²×C₁₃	semidirect
594. #484	C₂²×C₁₃	semidirect
595. #483	C₂²×C₁₃	semidirect
596. #483	C₂²×C₁₃	semidirect
601. #482	C₂²×C₁₃	semidirect
602. #482	C₂²×C₁₃	semidirect
603. #482	C₂²×C₁₃	semidirect
604. #482	C₂²×C₁₃	semidirect
605. #482	C₂²×C₁₃	semidirect
606. #481	C₂²×C₁₃	semidirect
607. #481	C₂²×C₁₃	semidirect
608. #481	C₂²×C₁₃	semidirect
609. #480	C₂²×C₁₃	semidirect
610. #480	C₂²×C₁₃	semidirect
611. #479	C₂²×C₁₃	semidirect
612. #478	C₂²×C₁₃	semidirect
613. #478	C₂²×C₁₃	semidirect
614. #478	C₂²×C₁₃	semidirect
615. #477	C₂²×C₁₃	semidirect
616. #476	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
620. #469	C₂²×C₁₃	semidirect
622. #468	C₂²×C₁₃	semidirect
624. #466	C₂²×C₁₃	semidirect
626. #465	C₂²×C₁₃	semidirect
627. #442	C₂²×C₁₃	semidirect
628. #440	C₂²×C₁₃	semidirect
629. C₄×SD₁₆	C₂²×C₁₃	semidirect
630. C₄×D₈	C₂²×C₁₃	semidirect
631. #436	C₂²×C₁₃	semidirect
632. #435	C₂²×C₁₃	semidirect
633. #435	C₂²×C₁₃	semidirect
634. C₈×D₄	C₂²×C₁₃	semidirect
640. #428	C₂²×C₁₃	semidirect
641. #428	C₂²×C₁₃	semidirect
642. #428	C₂²×C₁₃	semidirect
643. #428	C₂²×C₁₃	semidirect
646. #427	C₂²×C₁₃	semidirect
647. #427	C₂²×C₁₃	semidirect
648. #427	C₂²×C₁₃	semidirect
650. C₂×#107	C₂²×C₁₃	semidirect
944. M₁₆	C₁₃×#41	semidirect
1023. C₁₃	#61276	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×#3494	2
C₁₃×#3493	2
C₁₃×#3354	2
C₁₃×#3351	2
C₁₃×#3350	2
C₁₃×#3347	2
C₁₃×#3343	2
C₁₃×#3340	2
C₁₃×#3339	2
C₁₃×#3163	2
C₁₃×#3099	2
C₁₃×#3096	2
C₁₃×#3091	2
C₂×C₁₃×#482	2
C₁₃×#3083	2
C₁₃×#3081	2
C₁₃×#3062	2
C₁₃×#3055	2
C₁₃×#2946	2
C₁₃×#2933	2
C₁₃×#2913	2
C₁₃×#2911	2
#61276	13

Subgroups — C13×#61276 #15747615

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61276 #15747615