Subgroups — C₁₃×#61474 #15747813

Order 3328.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1146 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3340	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3340	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
14	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3173	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2949	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
26	C₁₃×#559	C₂²	1	1	yes	characteristic
27	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#556	—	2	2	no	—
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#556	C₂²	1	2	yes	complemented
33	C₁₃×#555	—	2	1	no	—
34	C₁₃×#555	C₂²	1	1	yes	characteristic
35	C₁₃×#555	C₂²	1	2	yes	—
36	C₁₃×#551	—	2	2	no	—
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#548	C₂²	1	2	yes	complemented
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	2	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#542	C₂²	1	2	yes	complemented
47	C₁₃×#538	—	2	2	no	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#124	—	2	1	no	—
55	C₁₃×#519	C₂²	1	2	yes	complemented
56	C₁₃×#518	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#498	C₂²	1	2	yes	complemented
61	C₁₃×#495	C₂²	1	2	yes	complemented
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#489	C₂²	1	2	yes	complemented
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#485	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	—
71	C₁₃×#482	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	2	yes	complemented
73	C₁₃×#477	C₂²	1	2	yes	complemented
74	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#476	C₂²	1	2	yes	—
76	C₁₃×#476	C₂²	1	1	yes	characteristic
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#474	C₂²	1	2	yes	complemented
81	C₁₃×#470	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	—
83	C₁₃×#465	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#465	C₂²	1	2	yes	complemented
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#464	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#461	C₂²	1	1	yes	characteristic
93	C₁₃×#460	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#451	C₂²	1	2	yes	complemented
97	C₁₃×#450	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#441	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	complemented
108	C₁₃×#440	C₂²	1	2	yes	complemented
109	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
113	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
116	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
117	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#427	C₂²	1	2	yes	complemented
129	C₁₃×#419	C₂²	1	2	yes	complemented
130	C₁₃×#418	C₂²	1	2	yes	—
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	—	2	1	no	—
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₁₃×#135	—	2	4	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	—	2	8	no	—
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
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	—	2	2	no	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	D₄	1	2	yes	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	D₄	1	1	yes	characteristic
176	C₁₃×#124	—	2	1	no	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	D₄	1	1	yes	characteristic
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	D₄	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	1	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	D₄	1	1	yes	characteristic
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	2	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	2	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	1	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₁₃×#117	C₂³	1	1	yes	characteristic
261	C₁₃×#117	C₂³	1	2	yes	—
262	C₁₃×#117	C₂³	1	2	yes	—
263	C₁₃×#117	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	1	yes	characteristic
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	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	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61474	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₃	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	4	1	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	8	2	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	2	no	—
326	C₂×Q₈×C₁₃	—	2	4	no	—
327	C₂×Q₈×C₁₃	—	4	2	no	—
328	C₂×Q₈×C₁₃	—	8	2	no	—
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₁₃	—	2	4	no	—
334	C₂×D₄×C₁₃	—	2	1	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	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	4	2	no	—
343	C₂×D₄×C₁₃	—	8	2	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
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	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
363	C₁₃×Q₁₆	—	2	2	no	—
364	C₁₃×Q₁₆	—	4	2	no	—
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×SD₁₆	—	2	4	no	—
367	C₁₃×SD₁₆	—	2	4	no	—
368	C₁₃×SD₁₆	—	2	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	#41	1	4	yes	complemented
371	C₁₃×D₈	—	2	2	no	—
372	C₁₃×D₈	—	4	2	no	—
373	C₁₃×M₁₆	—	4	2	no	—
374	C₂×C₈×C₁₃	—	2	4	no	—
375	C₂×C₈×C₁₃	—	2	2	no	—
376	C₂×C₈×C₁₃	—	4	1	no	—
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
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	1	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	C₂×D₄	1	2	yes	—
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	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₄²×C₁₃	C₂⁴	1	2	yes	—
453	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
456	Q₈×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3340	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3340	C₂×C₁₃	1	2	yes	complemented
461	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3321	C₂×C₁₃	1	2	yes	complemented
464	#3311	C₂×C₁₃	1	2	yes	complemented
465	#3282	C₂×C₁₃	1	2	yes	complemented
466	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3173	C₂×C₁₃	1	2	yes	complemented
468	#3167	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3121	C₂×C₁₃	1	2	yes	complemented
470	#3118	C₂×C₁₃	1	2	yes	complemented
471	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#2949	C₂×C₁₃	1	2	yes	complemented
475	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	1	no	—
478	C₂³×C₁₃	—	2	2	no	—
479	C₂³×C₁₃	—	4	4	no	—
480	C₂³×C₁₃	—	8	2	no	—
481	C₂³×C₁₃	—	8	2	no	—
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	2	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	4	4	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	8	1	no	—
493	Q₈×C₁₃	—	8	2	no	—
494	Q₈×C₁₃	—	8	2	no	—
495	Q₈×C₁₃	C₂×#41	1	2	yes	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	4	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	8	1	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	C₂×#41	1	2	yes	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	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	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	4	1	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	4	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	8	1	no	—
533	C₂×C₄×C₁₃	—	8	1	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
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	—	2	2	no	—
551	C₈×C₁₃	C₂×#41	1	2	yes	—
552	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
553	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
554	#559	C₂²×C₁₃	1	1	yes	characteristic
555	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
556	#556	—	2	2	no	—
557	#556	—	2	1	no	—
558	#556	C₂²×C₁₃	1	1	yes	characteristic
559	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	#556	C₂²×C₁₃	1	2	yes	complemented
561	#555	—	2	1	no	—
562	#555	C₂²×C₁₃	1	2	yes	—
563	#555	C₂²×C₁₃	1	1	yes	characteristic
564	#551	—	2	2	no	—
565	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
566	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
567	#548	—	2	1	no	—
568	#548	C₂²×C₁₃	1	2	yes	complemented
569	#546	—	2	1	no	—
570	#546	C₂²×C₁₃	1	2	yes	—
571	D₄²	C₂²×C₁₃	1	1	yes	characteristic
572	#542	—	2	2	no	—
573	#542	C₂²×C₁₃	1	2	yes	—
574	#542	C₂²×C₁₃	1	2	yes	complemented
575	#538	—	2	2	no	—
576	#533	—	2	1	no	—
577	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
578	#532	C₂²×C₁₃	1	1	yes	characteristic
579	#529	—	2	1	no	—
580	#529	—	2	1	no	—
581	#529	C₂²×C₁₃	1	1	yes	characteristic
582	C₂×#124	—	2	1	no	—
583	#519	C₂²×C₁₃	1	2	yes	complemented
584	#518	C₂²×C₁₃	1	2	yes	—
585	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
586	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	#498	C₂²×C₁₃	1	2	yes	complemented
589	#495	C₂²×C₁₃	1	2	yes	complemented
590	#492	C₂²×C₁₃	1	1	yes	characteristic
591	#489	C₂²×C₁₃	1	2	yes	complemented
592	#489	C₂²×C₁₃	1	2	yes	complemented
593	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#486	C₂²×C₁₃	1	1	yes	characteristic
595	#485	C₂²×C₁₃	1	2	yes	complemented
596	#485	C₂²×C₁₃	1	2	yes	complemented
597	#485	C₂²×C₁₃	1	2	yes	complemented
598	#482	C₂²×C₁₃	1	2	yes	—
599	#482	C₂²×C₁₃	1	2	yes	complemented
600	#482	C₂²×C₁₃	1	2	yes	complemented
601	#477	C₂²×C₁₃	1	2	yes	complemented
602	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#476	C₂²×C₁₃	1	1	yes	characteristic
604	#476	C₂²×C₁₃	1	2	yes	—
605	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#475	C₂²×C₁₃	1	2	yes	complemented
607	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#474	C₂²×C₁₃	1	2	yes	complemented
609	#470	C₂²×C₁₃	1	2	yes	complemented
610	#469	C₂²×C₁₃	1	2	yes	—
611	#465	C₂²×C₁₃	1	2	yes	—
612	#465	C₂²×C₁₃	1	2	yes	complemented
613	#465	C₂²×C₁₃	1	2	yes	complemented
614	#465	C₂²×C₁₃	1	2	yes	complemented
615	#464	C₂²×C₁₃	1	2	yes	complemented
616	#464	C₂²×C₁₃	1	2	yes	complemented
617	#463	C₂²×C₁₃	1	2	yes	—
618	#463	C₂²×C₁₃	1	2	yes	complemented
619	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#461	C₂²×C₁₃	1	1	yes	characteristic
621	#460	C₂²×C₁₃	1	1	yes	characteristic
622	#459	C₂²×C₁₃	1	1	yes	characteristic
623	#452	C₂²×C₁₃	1	2	yes	—
624	#451	C₂²×C₁₃	1	2	yes	complemented
625	#450	C₂²×C₁₃	1	2	yes	—
626	#449	C₂²×C₁₃	1	2	yes	complemented
627	#448	C₂²×C₁₃	1	2	yes	—
628	#447	C₂²×C₁₃	1	2	yes	—
629	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#442	C₂²×C₁₃	1	2	yes	complemented
632	#441	C₂²×C₁₃	1	2	yes	complemented
633	#440	C₂²×C₁₃	1	2	yes	—
634	#440	C₂²×C₁₃	1	2	yes	—
635	#440	C₂²×C₁₃	1	2	yes	complemented
636	#440	C₂²×C₁₃	1	2	yes	complemented
637	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
641	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
642	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
644	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
645	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
646	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
648	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
649	#436	C₂²×C₁₃	1	1	yes	characteristic
650	#435	C₂²×C₁₃	1	2	yes	complemented
651	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
652	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
653	#433	C₂²×C₁₃	1	2	yes	complemented
654	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#427	C₂²×C₁₃	1	2	yes	complemented
657	#419	C₂²×C₁₃	1	2	yes	complemented
658	#418	C₂²×C₁₃	1	2	yes	—
659	#416	C₂²×C₁₃	1	1	yes	characteristic
660	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#405	C₂²×C₁₃	1	2	yes	complemented
662	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	2	1	no	—
669	C₂²×C₁₃	—	2	2	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	16	4	no	—
679	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	1	no	—
682	C₄×C₁₃	—	2	2	no	—
683	C₄×C₁₃	—	2	1	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	2	2	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	2	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	2	no	—
696	C₄×C₁₃	#577	1	2	yes	—
697	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
698	C₄×C₁₃	#585	1	1	yes	characteristic
699	C₂×#41	—	2	1	no	—
700	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
702	C₂²×Q₈	—	2	1	no	—
703	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
704	C₂²×D₄	—	2	1	no	—
705	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
706	#135	—	2	4	no	—
707	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×SD₁₆	—	2	8	no	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×D₈	C₂³×C₁₃	1	2	yes	—
718	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
720	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
721	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	—	2	1	no	—
723	C₄⋊Q₈	—	2	1	no	—
724	C₄⋊Q₈	—	2	2	no	—
725	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
729	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
730	#127	C₂³×C₁₃	1	1	yes	characteristic
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	#126	—	2	2	no	—
737	#126	D₄×C₁₃	1	2	yes	—
738	#125	—	2	1	no	—
739	#125	D₄×C₁₃	1	1	yes	characteristic
740	#124	—	2	1	no	—
741	#124	—	2	1	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	2	no	—
749	#124	—	2	1	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	D₄×C₁₃	1	2	yes	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
768	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
770	#121	—	2	1	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	D₄×C₁₃	1	1	yes	characteristic
777	#121	C₂³×C₁₃	1	2	yes	—
778	#121	C₂³×C₁₃	1	2	yes	—
779	#121	C₂³×C₁₃	1	2	yes	—
780	#120	—	2	2	no	—
781	#120	—	2	2	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	2	2	no	—
784	C₄×Q₈	—	2	2	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	2	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
794	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₁₃	1	2	yes	—
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	#117	—	2	1	no	—
816	#117	—	2	2	no	—
817	#117	—	2	1	no	—
818	#117	—	2	1	no	—
819	#117	—	2	2	no	—
820	#117	—	2	2	no	—
821	#117	—	2	1	no	—
822	#117	—	2	1	no	—
823	#117	C₂³×C₁₃	1	1	yes	characteristic
824	#117	C₂³×C₁₃	1	1	yes	characteristic
825	#117	C₂³×C₁₃	1	2	yes	—
826	#117	C₂³×C₁₃	1	2	yes	—
827	#117	C₂³×C₁₃	1	2	yes	—
828	C₂×C₂²⋊C₄	—	2	2	no	—
829	C₂×C₂²⋊C₄	—	2	2	no	—
830	C₂×C₂²⋊C₄	—	2	2	no	—
831	C₂×C₄²	—	2	1	no	—
832	C₂×C₄²	—	2	1	no	—
833	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
834	#107	C₂³×C₁₃	1	1	yes	characteristic
835	#107	C₂³×C₁₃	1	1	yes	characteristic
836	#107	C₂³×C₁₃	1	2	yes	—
837	#107	C₂³×C₁₃	1	2	yes	—
838	#106	C₂³×C₁₃	1	1	yes	characteristic
839	#106	C₂³×C₁₃	1	1	yes	characteristic
840	#106	C₂³×C₁₃	1	2	yes	—
841	#106	C₂³×C₁₃	1	2	yes	—
842	#106	C₂³×C₁₃	1	2	yes	—
843	#106	C₂³×C₁₃	1	2	yes	—
844	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
846	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
847	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	1	yes	characteristic
849	#103	C₂³×C₁₃	1	1	yes	characteristic
850	#103	C₂³×C₁₃	1	1	yes	characteristic
851	#103	C₂³×C₁₃	1	1	yes	characteristic
852	#103	C₂³×C₁₃	1	2	yes	—
853	#103	C₂³×C₁₃	1	2	yes	—
854	#103	C₂³×C₁₃	1	2	yes	—
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	1	yes	characteristic
859	#102	C₂³×C₁₃	1	1	yes	characteristic
860	#102	C₂³×C₁₃	1	1	yes	characteristic
861	#102	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	#97	C₂³×C₁₃	1	2	yes	—
872	#97	C₂³×C₁₃	1	2	yes	—
873	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₄×C₈	C₂³×C₁₃	1	2	yes	—
878	C₂×C₁₃	—	4	1	no	—
879	C₂×C₁₃	—	4	2	no	—
880	C₂×C₁₃	—	4	2	no	—
881	C₂×C₁₃	—	8	1	no	—
882	C₂×C₁₃	—	8	2	no	—
883	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
884	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
885	C₂×C₁₃	#3584	1	1	yes	characteristic
886	C₂⁴	—	2	2	no	—
887	#41	—	2	2	no	—
888	#41	—	2	2	no	—
889	#41	—	4	1	no	—
890	#41	—	4	1	no	—
891	#41	—	8	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	2	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	4	no	—
898	C₂×Q₈	—	4	2	no	—
899	C₂×Q₈	—	8	2	no	—
900	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
903	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	1	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	8	2	no	—
915	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
934	Q₁₆	—	2	2	no	—
935	Q₁₆	—	4	2	no	—
936	SD₁₆	—	2	4	no	—
937	SD₁₆	—	2	4	no	—
938	SD₁₆	—	2	4	no	—
939	SD₁₆	—	2	2	no	—
940	SD₁₆	—	4	2	no	—
941	SD₁₆	C₁₃×#41	1	4	yes	complemented
942	D₈	—	2	2	no	—
943	D₈	—	4	2	no	—
944	M₁₆	—	4	2	no	—
945	C₂×C₈	—	2	4	no	—
946	C₂×C₈	—	2	2	no	—
947	C₂×C₈	—	4	1	no	—
948	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
952	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	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	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	2	yes	—
975	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	1	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	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1004	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₃	1	2	yes	—
1024	C₁₃	#61474	1	1	yes	characteristic, direct product factor, Sylow
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	4	4	no	—
1029	C₂³	—	8	2	no	—
1030	C₂³	—	8	2	no	—
1031	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1032	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	4	4	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	8	2	no	—
1042	Q₈	—	8	1	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	C₂×C₁₃×#41	1	2	yes	—
1045	D₄	—	2	2	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	4	4	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	8	1	no	—
1057	D₄	—	8	2	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	2	no	—
1060	D₄	C₂×C₁₃×#41	1	2	yes	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	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	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	2	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	8	1	no	—
1082	C₂×C₄	—	8	1	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1089	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
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	1	yes	characteristic
1093	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1095	C₈	—	2	1	no	—
1096	C₈	—	2	2	no	—
1097	C₈	—	2	1	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	C₂×C₁₃×#41	1	2	yes	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	16	4	no	—
1117	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1118	C₄	—	2	1	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	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	2	no	—
1134	C₄	C₁₃×#577	1	2	yes	—
1135	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1136	C₄	C₁₃×#585	1	1	yes	characteristic
1137	C₂	—	4	2	no	—
1138	C₂	—	4	1	no	—
1139	C₂	—	4	2	no	—
1140	C₂	—	8	2	no	—
1141	C₂	—	8	1	no	—
1142	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1143	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1144	C₂	C₁₃×#3584	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3518	C₂	semidirect
2. C₁₃×#3514	C₂	semidirect
3. C₁₃×#3394	C₂	semidirect
4. Q₈×C₁₃×SD₁₆	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3340	C₂	semidirect
8. C₁₃×#3340	C₂	semidirect
9. C₁₃×#3328	C₂	semidirect
10. C₁₃×#3325	C₂	semidirect
11. C₁₃×#3321	C₂	semidirect
12. C₁₃×#3311	C₂	semidirect
13. C₁₃×#3282	C₂	semidirect
14. D₄×C₁₃×SD₁₆	C₂	semidirect
15. C₁₃×#3173	C₂	semidirect
16. C₁₃×#3167	C₂	semidirect
17. C₁₃×#3121	C₂	semidirect
18. C₁₃×#3118	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3115	C₂	semidirect
21. C₁₃×#2966	C₂	semidirect
22. C₁₃×#2949	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
27. Q₈²×C₁₃	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#556	C₂²	semidirect
40. C₁₃×#548	C₂²	semidirect
46. C₁₃×#542	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
55. C₁₃×#519	C₂²	semidirect
58. C₄×C₁₃×#41	C₂²	semidirect
59. C₁₃×#498	C₂²	semidirect
60. C₁₃×#498	C₂²	semidirect
61. C₁₃×#495	C₂²	semidirect
63. C₁₃×#489	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#485	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
72. C₁₃×#482	C₂²	semidirect
73. C₁₃×#477	C₂²	semidirect
74. C₁₃×#477	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#475	C₂²	semidirect
79. C₁₃×#474	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#470	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
96. C₁₃×#451	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₈×Q₈×C₁₃	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#441	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₁₃×#440	C₂²	semidirect
109. C₄×C₁₃×Q₁₆	C₂²	semidirect
110. C₄×C₁₃×Q₁₆	C₂²	semidirect
114. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₄×C₁₃×SD₁₆	C₂²	semidirect
117. C₄×C₁₃×SD₁₆	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#435	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#432	C₂²	semidirect
127. C₁₃×#427	C₂²	semidirect
128. C₁₃×#427	C₂²	semidirect
129. C₁₃×#419	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
314. #61474	C₁₃	direct (N × H)
370. C₁₃×SD₁₆	#41	semidirect
453. #3518	C₂×C₁₃	semidirect
454. #3514	C₂×C₁₃	semidirect
455. #3394	C₂×C₁₃	semidirect
456. Q₈×SD₁₆	C₂×C₁₃	semidirect
457. #3375	C₂×C₁₃	semidirect
458. #3367	C₂×C₁₃	semidirect
459. #3340	C₂×C₁₃	semidirect
460. #3340	C₂×C₁₃	semidirect
461. #3328	C₂×C₁₃	semidirect
462. #3325	C₂×C₁₃	semidirect
463. #3321	C₂×C₁₃	semidirect
464. #3311	C₂×C₁₃	semidirect
465. #3282	C₂×C₁₃	semidirect
466. D₄×SD₁₆	C₂×C₁₃	semidirect
467. #3173	C₂×C₁₃	semidirect
468. #3167	C₂×C₁₃	semidirect
469. #3121	C₂×C₁₃	semidirect
470. #3118	C₂×C₁₃	semidirect
471. #3116	C₂×C₁₃	semidirect
472. #3115	C₂×C₁₃	semidirect
473. #2966	C₂×C₁₃	semidirect
474. #2949	C₂×C₁₃	semidirect
475. C₄×#135	C₂×C₁₃	semidirect
555. Q₈²	C₂²×C₁₃	semidirect
559. #556	C₂²×C₁₃	semidirect
560. #556	C₂²×C₁₃	semidirect
568. #548	C₂²×C₁₃	semidirect
574. #542	C₂²×C₁₃	semidirect
577. #533	C₂²×C₁₃	semidirect
583. #519	C₂²×C₁₃	semidirect
586. C₄×#41	C₂²×C₁₃	semidirect
587. #498	C₂²×C₁₃	semidirect
588. #498	C₂²×C₁₃	semidirect
589. #495	C₂²×C₁₃	semidirect
591. #489	C₂²×C₁₃	semidirect
592. #489	C₂²×C₁₃	semidirect
593. #487	C₂²×C₁₃	semidirect
595. #485	C₂²×C₁₃	semidirect
596. #485	C₂²×C₁₃	semidirect
597. #485	C₂²×C₁₃	semidirect
599. #482	C₂²×C₁₃	semidirect
600. #482	C₂²×C₁₃	semidirect
601. #477	C₂²×C₁₃	semidirect
602. #477	C₂²×C₁₃	semidirect
605. #475	C₂²×C₁₃	semidirect
606. #475	C₂²×C₁₃	semidirect
607. #474	C₂²×C₁₃	semidirect
608. #474	C₂²×C₁₃	semidirect
609. #470	C₂²×C₁₃	semidirect
612. #465	C₂²×C₁₃	semidirect
613. #465	C₂²×C₁₃	semidirect
614. #465	C₂²×C₁₃	semidirect
615. #464	C₂²×C₁₃	semidirect
616. #464	C₂²×C₁₃	semidirect
618. #463	C₂²×C₁₃	semidirect
619. #462	C₂²×C₁₃	semidirect
624. #451	C₂²×C₁₃	semidirect
626. #449	C₂²×C₁₃	semidirect
629. #446	C₂²×C₁₃	semidirect
630. C₈×Q₈	C₂²×C₁₃	semidirect
631. #442	C₂²×C₁₃	semidirect
632. #441	C₂²×C₁₃	semidirect
635. #440	C₂²×C₁₃	semidirect
636. #440	C₂²×C₁₃	semidirect
637. C₄×Q₁₆	C₂²×C₁₃	semidirect
638. C₄×Q₁₆	C₂²×C₁₃	semidirect
642. C₄×SD₁₆	C₂²×C₁₃	semidirect
643. C₄×SD₁₆	C₂²×C₁₃	semidirect
644. C₄×SD₁₆	C₂²×C₁₃	semidirect
645. C₄×SD₁₆	C₂²×C₁₃	semidirect
646. C₄×SD₁₆	C₂²×C₁₃	semidirect
650. #435	C₂²×C₁₃	semidirect
652. C₈×D₄	C₂²×C₁₃	semidirect
653. #433	C₂²×C₁₃	semidirect
654. #432	C₂²×C₁₃	semidirect
655. #427	C₂²×C₁₃	semidirect
656. #427	C₂²×C₁₃	semidirect
657. #419	C₂²×C₁₃	semidirect
660. #416	C₂²×C₁₃	semidirect
661. #405	C₂²×C₁₃	semidirect
662. C₂×C₄×C₈	C₂²×C₁₃	semidirect
941. SD₁₆	C₁₃×#41	semidirect
1024. C₁₃	#61474	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×#3518	2
C₁₃×#3514	2
C₁₃×#3394	2
Q₈×C₁₃×SD₁₆	2
C₁₃×#3375	2
C₁₃×#3367	2
C₁₃×#3340	2
C₁₃×#3328	2
C₁₃×#3325	2
C₁₃×#3321	2
C₁₃×#3311	2
C₁₃×#3282	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3173	2
C₁₃×#3167	2
C₁₃×#3121	2
C₁₃×#3118	2
C₁₃×#3116	2
C₁₃×#3115	2
C₁₃×#2966	2
C₁₃×#2949	2
C₄×C₁₃×#135	2
#61474	13

Subgroups — C13×#61474 #15747813

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61474 #15747813