Subgroups — C₁₃×#62043 #15748382

Order 3328.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3395	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3276	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3255	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3223	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3044	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	—
27	C₁₃×#562	—	2	2	no	—
28	C₁₃×#559	—	2	1	no	—
29	C₁₃×#559	C₂²	1	1	yes	characteristic
30	C₁₃×#557	—	2	1	no	—
31	C₁₃×#557	C₂²	1	1	yes	characteristic
32	C₁₃×#557	C₂²	1	1	yes	characteristic
33	C₁₃×#557	C₂²	1	1	yes	characteristic
34	C₁₃×#556	—	2	1	no	—
35	C₁₃×#556	C₂²	1	1	yes	characteristic
36	C₁₃×#554	—	2	1	no	—
37	C₁₃×#552	—	2	2	no	—
38	C₁₃×#552	C₂²	1	2	yes	—
39	C₁₃×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
41	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
42	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₁₃×#548	C₂²	1	2	yes	—
44	C₁₃×#547	C₂²	1	2	yes	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#542	C₂²	1	2	yes	—
47	C₁₃×#541	—	2	2	no	—
48	C₁₃×#541	C₂²	1	2	yes	—
49	C₁₃×#540	—	2	1	no	—
50	C₁₃×#539	—	2	2	no	—
51	C₁₃×#536	C₂²	1	2	yes	—
52	C₁₃×#533	—	2	1	no	—
53	C₁₃×#533	C₂²	1	1	yes	characteristic
54	C₁₃×#533	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#519	C₂²	1	2	yes	—
59	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#494	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#488	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#485	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	1	yes	characteristic
70	C₁₃×#484	C₂²	1	1	yes	characteristic
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	2	yes	—
73	C₁₃×#478	C₂²	1	2	yes	—
74	C₁₃×#477	C₂²	1	1	yes	characteristic
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#475	C₂²	1	1	yes	characteristic
77	C₁₃×#475	C₂²	1	1	yes	characteristic
78	C₁₃×#475	C₂²	1	2	yes	—
79	C₁₃×#470	C₂²	1	2	yes	—
80	C₁₃×#470	C₂²	1	2	yes	—
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	C₂²	1	2	yes	—
90	C₁₃×#464	C₂²	1	2	yes	—
91	C₁₃×#462	C₂²	1	2	yes	—
92	C₁₃×#462	C₂²	1	2	yes	—
93	C₁₃×#462	C₂²	1	1	yes	characteristic
94	C₁₃×#462	C₂²	1	1	yes	characteristic
95	C₁₃×#462	C₂²	1	1	yes	characteristic
96	C₁₃×#462	C₂²	1	1	yes	characteristic
97	C₁₃×#462	C₂²	1	1	yes	characteristic
98	C₁₃×#462	C₂²	1	2	yes	—
99	C₁₃×#462	C₂²	1	2	yes	—
100	C₁₃×#462	C₂²	1	1	yes	characteristic
101	C₁₃×#461	C₂²	1	2	yes	—
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	2	yes	—
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#452	C₂²	1	2	yes	—
107	C₁₃×#452	C₂²	1	2	yes	—
108	C₁₃×#451	C₂²	1	1	yes	characteristic
109	C₁₃×#451	C₂²	1	2	yes	—
110	C₁₃×#451	C₂²	1	1	yes	characteristic
111	C₁₃×#451	C₂²	1	2	yes	—
112	C₁₃×#451	C₂²	1	2	yes	—
113	C₁₃×#448	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
116	C₁₃×#441	C₂²	1	2	yes	—
117	C₁₃×#440	C₂²	1	2	yes	—
118	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
122	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
124	C₁₃×#436	C₂²	1	2	yes	—
125	C₁₃×#436	C₂²	1	1	yes	characteristic
126	C₁₃×#435	C₂²	1	2	yes	—
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₁₃×#433	C₂²	1	2	yes	—
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#424	C₂²	1	2	yes	—
131	C₁₃×#423	C₂²	1	1	yes	characteristic
132	C₁₃×#419	C₂²	1	2	yes	—
133	C₁₃×#417	C₂²	1	2	yes	—
134	C₁₃×#416	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	C₂³	1	2	yes	—
136	C₂×C₁₃×#41	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₁₃×#137	—	4	4	no	—
141	C₁₃×#137	—	4	4	no	—
142	C₂×C₁₃×Q₁₆	—	4	4	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	—	2	2	no	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×#127	—	2	1	no	—
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	D₄	1	2	yes	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	2	no	—
185	C₁₃×#125	—	2	2	no	—
186	C₁₃×#125	—	2	2	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	D₄	1	1	yes	characteristic
190	C₁₃×#125	C₂³	1	2	yes	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	D₄	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#124	C₂³	1	2	yes	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	D₄	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	—	2	2	no	—
216	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	—	2	2	no	—
233	C₄×Q₈×C₁₃	—	2	2	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	—	2	2	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	2	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	—	2	2	no	—
265	C₁₃×#117	—	2	2	no	—
266	C₁₃×#117	—	2	2	no	—
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₁₃×#117	C₂³	1	2	yes	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
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	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62043	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	4	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	4	2	no	—
328	C₂×Q₈×C₁₃	—	4	1	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	—	4	2	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
337	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
357	C₁₃×Q₁₆	—	2	2	no	—
358	C₁₃×Q₁₆	—	2	4	no	—
359	C₁₃×Q₁₆	—	2	2	no	—
360	C₁₃×Q₁₆	—	4	2	no	—
361	C₁₃×Q₁₆	—	4	2	no	—
362	C₁₃×Q₁₆	—	4	1	no	—
363	C₁₃×Q₁₆	—	4	2	no	—
364	C₁₃×Q₁₆	—	4	1	no	—
365	C₁₃×Q₁₆	—	4	2	no	—
366	C₁₃×Q₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	2	4	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×M₁₆	—	4	2	no	—
372	C₁₃×M₁₆	—	4	2	no	—
373	C₂×C₈×C₁₃	—	4	2	no	—
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	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	2	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	C₂×D₄	1	2	yes	—
436	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	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	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	2	yes	—
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	#3554	C₂×C₁₃	1	1	yes	characteristic
457	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3395	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3327	C₂×C₁₃	1	2	yes	complemented
464	#3315	C₂×C₁₃	1	2	yes	complemented
465	#3304	C₂×C₁₃	1	1	yes	characteristic, complemented
466	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3276	C₂×C₁₃	1	2	yes	complemented
469	#3270	C₂×C₁₃	1	2	yes	complemented
470	#3258	C₂×C₁₃	1	2	yes	complemented
471	#3255	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3223	C₂×C₁₃	1	2	yes	complemented
473	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3121	C₂×C₁₃	1	2	yes	complemented
475	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3044	C₂×C₁₃	1	2	yes	complemented
477	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#2993	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂³×C₁₃	—	2	2	no	—
480	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	2	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	4	2	no	—
495	Q₈×C₁₃	—	4	4	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	—	8	1	no	—
498	Q₈×C₁₃	—	8	2	no	—
499	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	C₂×C₄×C₁₃	—	2	1	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	2	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	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	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	4	1	no	—
526	C₂×C₄×C₁₃	—	4	4	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	2	no	—
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	—	2	1	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	1	no	—
548	C₂×#137	C₂²×C₁₃	1	2	yes	—
549	C₂×#137	C₂²×C₁₃	1	2	yes	—
550	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	—
551	#562	—	2	2	no	—
552	#559	—	2	1	no	—
553	#559	C₂²×C₁₃	1	1	yes	characteristic
554	#557	—	2	1	no	—
555	#557	C₂²×C₁₃	1	1	yes	characteristic
556	#557	C₂²×C₁₃	1	1	yes	characteristic
557	#557	C₂²×C₁₃	1	1	yes	characteristic
558	#556	—	2	1	no	—
559	#556	C₂²×C₁₃	1	1	yes	characteristic
560	#554	—	2	1	no	—
561	#552	—	2	2	no	—
562	#552	C₂²×C₁₃	1	2	yes	—
563	#550	C₂²×C₁₃	1	1	yes	characteristic
564	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
565	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
566	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
567	#548	C₂²×C₁₃	1	2	yes	—
568	#547	C₂²×C₁₃	1	2	yes	—
569	#542	—	2	1	no	—
570	#542	C₂²×C₁₃	1	2	yes	—
571	#541	—	2	2	no	—
572	#541	C₂²×C₁₃	1	2	yes	—
573	#540	—	2	1	no	—
574	#539	—	2	2	no	—
575	#536	C₂²×C₁₃	1	2	yes	—
576	#533	—	2	1	no	—
577	#533	C₂²×C₁₃	1	1	yes	characteristic
578	#533	C₂²×C₁₃	1	1	yes	characteristic
579	#532	C₂²×C₁₃	1	1	yes	characteristic
580	#529	—	2	1	no	—
581	#529	C₂²×C₁₃	1	1	yes	characteristic
582	#519	C₂²×C₁₃	1	2	yes	—
583	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
584	#497	C₂²×C₁₃	1	2	yes	—
585	#494	C₂²×C₁₃	1	1	yes	characteristic
586	#494	C₂²×C₁₃	1	2	yes	—
587	#492	C₂²×C₁₃	1	1	yes	characteristic
588	#491	C₂²×C₁₃	1	2	yes	—
589	#488	C₂²×C₁₃	1	2	yes	—
590	#487	C₂²×C₁₃	1	1	yes	characteristic
591	#486	C₂²×C₁₃	1	1	yes	characteristic
592	#485	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	1	yes	characteristic
594	#484	C₂²×C₁₃	1	1	yes	characteristic
595	#482	C₂²×C₁₃	1	2	yes	—
596	#479	C₂²×C₁₃	1	2	yes	—
597	#478	C₂²×C₁₃	1	2	yes	—
598	#477	C₂²×C₁₃	1	1	yes	characteristic
599	#477	C₂²×C₁₃	1	1	yes	characteristic
600	#475	C₂²×C₁₃	1	1	yes	characteristic
601	#475	C₂²×C₁₃	1	1	yes	characteristic
602	#475	C₂²×C₁₃	1	2	yes	—
603	#470	C₂²×C₁₃	1	2	yes	—
604	#470	C₂²×C₁₃	1	2	yes	—
605	#470	C₂²×C₁₃	1	2	yes	—
606	#468	C₂²×C₁₃	1	2	yes	—
607	#467	C₂²×C₁₃	1	2	yes	—
608	#465	C₂²×C₁₃	1	2	yes	—
609	#464	C₂²×C₁₃	1	2	yes	—
610	#464	C₂²×C₁₃	1	2	yes	—
611	#464	C₂²×C₁₃	1	2	yes	—
612	#464	C₂²×C₁₃	1	2	yes	—
613	#464	C₂²×C₁₃	1	2	yes	—
614	#464	C₂²×C₁₃	1	2	yes	—
615	#462	C₂²×C₁₃	1	1	yes	characteristic
616	#462	C₂²×C₁₃	1	1	yes	characteristic
617	#462	C₂²×C₁₃	1	1	yes	characteristic
618	#462	C₂²×C₁₃	1	2	yes	—
619	#462	C₂²×C₁₃	1	1	yes	characteristic
620	#462	C₂²×C₁₃	1	1	yes	characteristic
621	#462	C₂²×C₁₃	1	2	yes	—
622	#462	C₂²×C₁₃	1	2	yes	—
623	#462	C₂²×C₁₃	1	1	yes	characteristic
624	#462	C₂²×C₁₃	1	2	yes	—
625	#461	C₂²×C₁₃	1	2	yes	—
626	#460	C₂²×C₁₃	1	1	yes	characteristic
627	#460	C₂²×C₁₃	1	1	yes	characteristic
628	#452	C₂²×C₁₃	1	2	yes	—
629	#452	C₂²×C₁₃	1	2	yes	—
630	#452	C₂²×C₁₃	1	2	yes	—
631	#452	C₂²×C₁₃	1	2	yes	—
632	#451	C₂²×C₁₃	1	2	yes	—
633	#451	C₂²×C₁₃	1	1	yes	characteristic
634	#451	C₂²×C₁₃	1	1	yes	characteristic
635	#451	C₂²×C₁₃	1	2	yes	—
636	#451	C₂²×C₁₃	1	2	yes	—
637	#448	C₂²×C₁₃	1	2	yes	—
638	#446	C₂²×C₁₃	1	1	yes	characteristic
639	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
640	#441	C₂²×C₁₃	1	2	yes	—
641	#440	C₂²×C₁₃	1	2	yes	—
642	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
643	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
644	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
645	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
647	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
648	#436	C₂²×C₁₃	1	1	yes	characteristic
649	#436	C₂²×C₁₃	1	2	yes	—
650	#435	C₂²×C₁₃	1	2	yes	—
651	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
652	#433	C₂²×C₁₃	1	2	yes	—
653	#431	C₂²×C₁₃	1	1	yes	characteristic
654	#424	C₂²×C₁₃	1	2	yes	—
655	#423	C₂²×C₁₃	1	1	yes	characteristic
656	#419	C₂²×C₁₃	1	2	yes	—
657	#417	C₂²×C₁₃	1	2	yes	—
658	#416	C₂²×C₁₃	1	2	yes	—
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	2	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	4	2	no	—
666	C₂²×C₁₃	—	4	2	no	—
667	C₂²×C₁₃	—	4	2	no	—
668	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	1	no	—
676	C₄×C₁₃	—	2	2	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	2	no	—
687	C₄×C₁₃	#578	1	2	yes	—
688	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
689	C₄×C₁₃	#585	1	1	yes	characteristic
690	C₂×#41	C₂³×C₁₃	1	2	yes	—
691	C₂×#41	C₂³×C₁₃	1	2	yes	—
692	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
693	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
694	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
695	#137	—	4	4	no	—
696	#137	—	4	4	no	—
697	C₂×Q₁₆	—	4	4	no	—
698	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	#127	—	2	1	no	—
727	#127	C₂³×C₁₃	1	1	yes	characteristic
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	D₄×C₁₃	1	2	yes	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	1	no	—
738	#125	—	2	2	no	—
739	#125	—	2	2	no	—
740	#125	—	2	2	no	—
741	#125	—	2	2	no	—
742	#125	—	2	1	no	—
743	#125	—	2	1	no	—
744	#125	D₄×C₁₃	1	1	yes	characteristic
745	#125	C₂³×C₁₃	1	2	yes	—
746	#124	—	2	1	no	—
747	#124	—	2	1	no	—
748	#124	—	2	2	no	—
749	#124	—	2	2	no	—
750	#124	D₄×C₁₃	1	1	yes	characteristic
751	#124	C₂³×C₁₃	1	2	yes	—
752	#124	C₂³×C₁₃	1	2	yes	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	D₄×C₁₃	1	2	yes	—
761	C₂²⋊Q₈	—	2	1	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
772	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
775	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
777	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
778	#121	—	2	2	no	—
779	#121	—	2	2	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	2	no	—
783	#121	D₄×C₁₃	1	1	yes	characteristic
784	#121	C₂³×C₁₃	1	2	yes	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	2	no	—
788	C₄×Q₈	—	2	2	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
802	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
804	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
805	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	C₄×D₄	C₂³×C₁₃	1	2	yes	—
816	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
817	#117	—	2	1	no	—
818	#117	—	2	1	no	—
819	#117	—	2	2	no	—
820	#117	—	2	2	no	—
821	#117	—	2	2	no	—
822	#117	C₂³×C₁₃	1	2	yes	—
823	#117	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	2	no	—
826	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
829	#107	C₂³×C₁₃	1	1	yes	characteristic
830	#107	C₂³×C₁₃	1	1	yes	characteristic
831	#107	C₂³×C₁₃	1	1	yes	characteristic
832	#107	C₂³×C₁₃	1	1	yes	characteristic
833	#106	C₂³×C₁₃	1	2	yes	—
834	#106	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
836	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
841	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
842	#103	C₂³×C₁₃	1	1	yes	characteristic
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	1	yes	characteristic
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	1	yes	characteristic
850	#103	C₂³×C₁₃	1	1	yes	characteristic
851	#103	C₂³×C₁₃	1	2	yes	—
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	1	yes	characteristic
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
865	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
866	#97	C₂³×C₁₃	1	2	yes	—
867	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₁₃	1	2	yes	—
870	C₂×C₁₃	—	4	1	no	—
871	C₂×C₁₃	—	4	2	no	—
872	C₂×C₁₃	—	8	2	no	—
873	C₂×C₁₃	#3488	1	1	yes	characteristic
874	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
875	C₂×C₁₃	#3586	1	1	yes	characteristic
876	#41	—	4	2	no	—
877	#41	—	4	2	no	—
878	#41	—	4	2	no	—
879	#41	—	4	2	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	4	no	—
886	C₂×Q₈	—	2	2	no	—
887	C₂×Q₈	—	4	2	no	—
888	C₂×Q₈	—	4	1	no	—
889	C₂×Q₈	—	4	2	no	—
890	C₂×Q₈	—	4	2	no	—
891	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
897	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
904	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
905	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
914	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
917	Q₁₆	—	2	2	no	—
918	Q₁₆	—	2	4	no	—
919	Q₁₆	—	2	2	no	—
920	Q₁₆	—	4	2	no	—
921	Q₁₆	—	4	2	no	—
922	Q₁₆	—	4	2	no	—
923	Q₁₆	—	4	2	no	—
924	Q₁₆	—	4	1	no	—
925	Q₁₆	—	4	2	no	—
926	Q₁₆	—	4	1	no	—
927	SD₁₆	—	2	4	no	—
928	SD₁₆	—	4	2	no	—
929	SD₁₆	—	4	2	no	—
930	SD₁₆	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	M₁₆	—	4	2	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
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	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	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	1	no	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₁₃	1	2	yes	—
1015	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₁₃	#62043	1	1	yes	characteristic, direct product factor, Sylow
1017	C₂³	—	2	2	no	—
1018	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1019	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1020	Q₈	—	2	2	no	—
1021	Q₈	—	2	1	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	2	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	4	2	no	—
1033	Q₈	—	4	4	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	8	2	no	—
1036	Q₈	—	8	1	no	—
1037	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	2	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	8	1	no	—
1044	D₄	—	8	2	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1074	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1079	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1080	C₈	—	2	1	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	2	1	no	—
1084	C₈	—	2	1	no	—
1085	C₈	—	2	1	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1096	C₄	—	2	1	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	C₁₃×#578	1	2	yes	—
1115	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1116	C₄	C₁₃×#585	1	1	yes	characteristic
1117	C₂	—	4	1	no	—
1118	C₂	—	4	2	no	—
1119	C₂	—	8	2	no	—
1120	C₂	C₁₃×#3488	1	1	yes	characteristic
1121	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1122	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3554	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3523	C₂	semidirect
3. C₁₃×#3400	C₂	semidirect
4. C₁₃×#3395	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3365	C₂	semidirect
7. C₁₃×#3328	C₂	semidirect
8. C₁₃×#3327	C₂	semidirect
9. C₁₃×#3315	C₂	semidirect
10. C₁₃×#3304	C₂	semidirect
11. D₄×C₁₃×Q₁₆	C₂	semidirect
12. C₁₃×#3278	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3270	C₂	semidirect
15. C₁₃×#3258	C₂	semidirect
16. C₁₃×#3255	C₂	semidirect
17. C₁₃×#3223	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3121	C₂	semidirect
20. C₁₃×#3104	C₂	semidirect
21. C₁₃×#3044	C₂	semidirect
22. C₁₃×#3037	C₂	semidirect
23. C₁₃×#2993	C₂	semidirect
315. #62043	C₁₃	direct (N × H)
457. #3523	C₂×C₁₃	semidirect
458. #3400	C₂×C₁₃	semidirect
459. #3395	C₂×C₁₃	semidirect
460. #3374	C₂×C₁₃	semidirect
461. #3365	C₂×C₁₃	semidirect
462. #3328	C₂×C₁₃	semidirect
463. #3327	C₂×C₁₃	semidirect
464. #3315	C₂×C₁₃	semidirect
465. #3304	C₂×C₁₃	semidirect
466. D₄×Q₁₆	C₂×C₁₃	semidirect
467. #3278	C₂×C₁₃	semidirect
468. #3276	C₂×C₁₃	semidirect
469. #3270	C₂×C₁₃	semidirect
470. #3258	C₂×C₁₃	semidirect
471. #3255	C₂×C₁₃	semidirect
472. #3223	C₂×C₁₃	semidirect
473. #3210	C₂×C₁₃	semidirect
474. #3121	C₂×C₁₃	semidirect
475. #3104	C₂×C₁₃	semidirect
476. #3044	C₂×C₁₃	semidirect
477. #3037	C₂×C₁₃	semidirect
478. #2993	C₂×C₁₃	semidirect
1016. C₁₃	#62043	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×#3554	2
C₁₃×#3523	2
C₁₃×#3400	2
C₁₃×#3395	2
C₁₃×#3374	2
C₁₃×#3365	2
C₁₃×#3328	2
C₁₃×#3327	2
C₁₃×#3315	2
C₁₃×#3304	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3278	2
C₁₃×#3276	2
C₁₃×#3270	2
C₁₃×#3258	2
C₁₃×#3255	2
C₁₃×#3223	2
C₁₃×#3210	2
C₁₃×#3121	2
C₁₃×#3104	2
C₁₃×#3044	2
C₁₃×#3037	2
C₁₃×#2993	2
#62043	13

Subgroups — C13×#62043 #15748382

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62043 #15748382