Subgroups — C₁₃×#61336 #15747675

Order 3328.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3375	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3373	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3369	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3367	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3079	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic
19	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2961	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₁₃×#559	C₂²	1	2	yes	—
28	C₁₃×#559	C₂²	1	2	yes	—
29	Q₈²×C₁₃	C₂²	1	2	yes	complemented
30	C₁₃×#557	C₂²	1	2	yes	complemented
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#556	C₂²	1	2	yes	—
33	C₁₃×#554	—	2	2	no	—
34	C₁₃×#554	C₂²	1	2	yes	complemented
35	C₁₃×#551	—	2	2	no	—
36	C₁₃×#551	—	2	2	no	—
37	D₄×Q₈×C₁₃	—	2	2	no	—
38	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
39	C₁₃×#544	—	2	1	no	—
40	C₁₃×#544	—	2	1	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×#542	—	2	1	no	—
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#533	—	2	1	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
50	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#519	C₂²	1	1	yes	characteristic
57	C₁₃×#518	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
60	C₁₃×#491	C₂²	1	2	yes	complemented
61	C₁₃×#490	C₂²	1	2	yes	—
62	C₁₃×#489	C₂²	1	2	yes	—
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	—
66	C₁₃×#489	C₂²	1	2	yes	—
67	C₁₃×#489	C₂²	1	2	yes	complemented
68	C₁₃×#488	C₂²	1	2	yes	—
69	C₁₃×#488	C₂²	1	2	yes	complemented
70	C₁₃×#487	C₂²	1	2	yes	complemented
71	C₁₃×#486	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	2	yes	complemented
73	C₁₃×#479	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	—
75	C₁₃×#478	C₂²	1	2	yes	—
76	C₁₃×#477	C₂²	1	2	yes	complemented
77	C₁₃×#477	C₂²	1	2	yes	complemented
78	C₁₃×#476	C₂²	1	2	yes	—
79	C₁₃×#476	C₂²	1	2	yes	complemented
80	C₁₃×#475	C₂²	1	2	yes	complemented
81	C₁₃×#475	C₂²	1	2	yes	complemented
82	C₁₃×#474	C₂²	1	2	yes	—
83	C₁₃×#474	C₂²	1	2	yes	complemented
84	C₁₃×#464	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	complemented
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#462	C₂²	1	2	yes	complemented
93	C₁₃×#461	C₂²	1	2	yes	complemented
94	C₁₃×#460	C₂²	1	2	yes	—
95	C₁₃×#459	C₂²	1	2	yes	—
96	C₁₃×#446	C₂²	1	2	yes	complemented
97	C₁₃×#446	C₂²	1	2	yes	complemented
98	C₁₃×#446	C₂²	1	2	yes	complemented
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	—
101	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#441	C₂²	1	2	yes	complemented
105	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#440	C₂²	1	2	yes	complemented
109	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
114	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
115	C₄×C₁₃×D₈	C₂²	1	2	yes	—
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#428	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₁₃×#423	C₂²	1	1	yes	characteristic
122	C₁₃×#419	C₂²	1	1	yes	characteristic
123	C₁₃×#418	C₂²	1	1	yes	characteristic
124	C₁₃×#417	C₂²	1	1	yes	characteristic
125	C₁₃×#417	C₂²	1	1	yes	characteristic
126	C₁₃×#416	C₂²	1	1	yes	characteristic
127	C₁₃×#416	C₂²	1	1	yes	characteristic
128	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
129	C₂×C₁₃×#103	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×#405	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	—	2	2	no	—
138	C₂²×Q₈×C₁₃	—	2	1	no	—
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#137	—	2	4	no	—
142	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
143	C₁₃×#135	—	2	4	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₁₃×C₄⋊Q₈	—	2	2	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	2	no	—
160	C₁₃×C₄⋊Q₈	—	2	2	no	—
161	C₁₃×C₄⋊Q₈	—	2	2	no	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×#127	C₂³	1	2	yes	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	D₄	1	1	yes	characteristic
181	C₁₃×#125	D₄	1	1	yes	characteristic
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	2	yes	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	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	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₄×Q₈×C₁₃	—	2	2	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	2	no	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	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	C₁₃×#117	—	2	1	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	—	2	2	no	—
250	C₁₃×#117	—	2	2	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	C₂³	1	1	yes	characteristic
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	1	yes	characteristic
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#102	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	1	yes	characteristic
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	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×#97	C₂³	1	1	yes	characteristic
308	C₁₃×#97	C₂³	1	1	yes	characteristic
309	C₁₃×#97	C₂³	1	1	yes	characteristic
310	C₁₃×#97	C₂³	1	1	yes	characteristic
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₁₃×#97	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61336	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	#41	1	4	yes	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	8	2	no	—
329	C₂×Q₈×C₁₃	—	8	4	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
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	2	no	—
342	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	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	2	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	C₂⁴	1	1	yes	characteristic
361	C₁₃×Q₁₆	—	2	2	no	—
362	C₁₃×Q₁₆	—	2	4	no	—
363	C₁₃×SD₁₆	—	2	2	no	—
364	C₁₃×SD₁₆	—	2	4	no	—
365	C₁₃×SD₁₆	—	2	2	no	—
366	C₁₃×SD₁₆	—	2	4	no	—
367	C₁₃×D₈	—	2	2	no	—
368	C₁₃×D₈	—	2	4	no	—
369	C₁₃×M₁₆	—	2	2	no	—
370	C₁₃×M₁₆	—	2	2	no	—
371	C₂×C₈×C₁₃	—	2	2	no	—
372	C₂×C₈×C₁₃	—	2	2	no	—
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	1	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	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	—	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	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	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	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	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	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	—	2	1	no	—
436	C₄²×C₁₃	—	2	1	no	—
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	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	2	yes	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3503	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3377	C₂×C₁₃	1	2	yes	complemented
454	#3376	C₂×C₁₃	1	2	yes	complemented
455	#3375	C₂×C₁₃	1	2	yes	complemented
456	#3373	C₂×C₁₃	1	2	yes	complemented
457	#3371	C₂×C₁₃	1	2	yes	complemented
458	#3370	C₂×C₁₃	1	2	yes	complemented
459	#3369	C₂×C₁₃	1	2	yes	complemented
460	#3367	C₂×C₁₃	1	2	yes	complemented
461	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
463	C₂×#489	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3079	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3045	C₂×C₁₃	1	1	yes	characteristic
469	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2961	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	—	2	2	no	—
476	C₂³×C₁₃	—	2	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	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	1	no	—
486	Q₈×C₁₃	—	4	2	no	—
487	Q₈×C₁₃	—	4	2	no	—
488	Q₈×C₁₃	—	4	4	no	—
489	Q₈×C₁₃	—	4	2	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	Q₈×C₁₃	—	8	2	no	—
492	Q₈×C₁₃	—	8	2	no	—
493	Q₈×C₁₃	C₂×#41	1	2	yes	—
494	D₄×C₁₃	—	2	4	no	—
495	D₄×C₁₃	—	2	2	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	4	2	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	8	2	no	—
504	D₄×C₁₃	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	4	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
516	C₂×C₄×C₁₃	—	4	1	no	—
517	C₂×C₄×C₁₃	—	4	2	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	8	1	no	—
522	C₂×C₄×C₁₃	—	8	2	no	—
523	C₂×C₄×C₁₃	—	8	1	no	—
524	C₂×C₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	—	8	2	no	—
526	C₂×C₄×C₁₃	—	8	2	no	—
527	C₂×C₄×C₁₃	—	8	1	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
539	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
540	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
541	C₈×C₁₃	—	2	1	no	—
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	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
548	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
550	#559	C₂²×C₁₃	1	2	yes	—
551	#559	C₂²×C₁₃	1	2	yes	—
552	Q₈²	C₂²×C₁₃	1	2	yes	complemented
553	#557	C₂²×C₁₃	1	2	yes	complemented
554	#556	C₂²×C₁₃	1	2	yes	—
555	#556	C₂²×C₁₃	1	2	yes	—
556	#554	—	2	2	no	—
557	#554	C₂²×C₁₃	1	2	yes	complemented
558	#551	—	2	2	no	—
559	#551	—	2	2	no	—
560	D₄×Q₈	—	2	2	no	—
561	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
562	#544	—	2	1	no	—
563	#544	—	2	1	no	—
564	#544	C₂²×C₁₃	1	1	yes	characteristic
565	#544	C₂²×C₁₃	1	1	yes	characteristic
566	#542	—	2	1	no	—
567	#542	—	2	1	no	—
568	#536	C₂²×C₁₃	1	1	yes	characteristic
569	#535	C₂²×C₁₃	1	1	yes	characteristic
570	#533	—	2	1	no	—
571	#533	C₂²×C₁₃	1	1	yes	characteristic
572	C₂×C₄⋊Q₈	—	2	1	no	—
573	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
574	#529	—	2	1	no	—
575	#529	—	2	1	no	—
576	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
577	#520	C₂²×C₁₃	1	1	yes	characteristic
578	#520	C₂²×C₁₃	1	1	yes	characteristic
579	#519	C₂²×C₁₃	1	1	yes	characteristic
580	#518	C₂²×C₁₃	1	1	yes	characteristic
581	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
582	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
583	#491	C₂²×C₁₃	1	2	yes	complemented
584	#490	C₂²×C₁₃	1	2	yes	—
585	#489	C₂²×C₁₃	1	2	yes	—
586	#489	C₂²×C₁₃	1	2	yes	—
587	#489	C₂²×C₁₃	1	2	yes	—
588	#489	C₂²×C₁₃	1	2	yes	—
589	#489	C₂²×C₁₃	1	2	yes	—
590	#489	C₂²×C₁₃	1	2	yes	complemented
591	#488	C₂²×C₁₃	1	2	yes	—
592	#488	C₂²×C₁₃	1	2	yes	complemented
593	#487	C₂²×C₁₃	1	2	yes	complemented
594	#486	C₂²×C₁₃	1	2	yes	—
595	#479	C₂²×C₁₃	1	2	yes	complemented
596	#479	C₂²×C₁₃	1	2	yes	complemented
597	#478	C₂²×C₁₃	1	2	yes	—
598	#478	C₂²×C₁₃	1	2	yes	—
599	#477	C₂²×C₁₃	1	2	yes	complemented
600	#477	C₂²×C₁₃	1	2	yes	complemented
601	#476	C₂²×C₁₃	1	2	yes	—
602	#476	C₂²×C₁₃	1	2	yes	complemented
603	#475	C₂²×C₁₃	1	2	yes	complemented
604	#475	C₂²×C₁₃	1	2	yes	complemented
605	#474	C₂²×C₁₃	1	2	yes	—
606	#474	C₂²×C₁₃	1	2	yes	complemented
607	#464	C₂²×C₁₃	1	2	yes	—
608	#464	C₂²×C₁₃	1	2	yes	—
609	#464	C₂²×C₁₃	1	2	yes	—
610	#464	C₂²×C₁₃	1	2	yes	complemented
611	#463	C₂²×C₁₃	1	2	yes	—
612	#463	C₂²×C₁₃	1	2	yes	—
613	#463	C₂²×C₁₃	1	2	yes	—
614	#463	C₂²×C₁₃	1	2	yes	complemented
615	#462	C₂²×C₁₃	1	2	yes	complemented
616	#461	C₂²×C₁₃	1	2	yes	complemented
617	#460	C₂²×C₁₃	1	2	yes	—
618	#459	C₂²×C₁₃	1	2	yes	—
619	#446	C₂²×C₁₃	1	2	yes	complemented
620	#446	C₂²×C₁₃	1	2	yes	complemented
621	#446	C₂²×C₁₃	1	2	yes	complemented
622	#446	C₂²×C₁₃	1	2	yes	complemented
623	#442	C₂²×C₁₃	1	2	yes	—
624	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#441	C₂²×C₁₃	1	2	yes	complemented
628	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#440	C₂²×C₁₃	1	2	yes	—
630	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#440	C₂²×C₁₃	1	2	yes	complemented
632	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
636	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
637	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
638	C₄×D₈	C₂²×C₁₃	1	2	yes	—
639	#428	C₂²×C₁₃	1	1	yes	characteristic
640	#428	C₂²×C₁₃	1	1	yes	characteristic
641	#427	C₂²×C₁₃	1	1	yes	characteristic
642	#424	C₂²×C₁₃	1	1	yes	characteristic
643	#424	C₂²×C₁₃	1	1	yes	characteristic
644	#423	C₂²×C₁₃	1	1	yes	characteristic
645	#419	C₂²×C₁₃	1	1	yes	characteristic
646	#418	C₂²×C₁₃	1	1	yes	characteristic
647	#417	C₂²×C₁₃	1	1	yes	characteristic
648	#417	C₂²×C₁₃	1	1	yes	characteristic
649	#416	C₂²×C₁₃	1	1	yes	characteristic
650	#416	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
653	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
655	#405	C₂²×C₁₃	1	1	yes	characteristic
656	#405	C₂²×C₁₃	1	1	yes	characteristic
657	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	2	no	—
661	C₂²×C₁₃	—	4	1	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	—	4	2	no	—
665	C₂²×C₁₃	—	4	1	no	—
666	C₂²×C₁₃	—	4	2	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	2	no	—
669	C₂²×C₁₃	—	16	2	no	—
670	C₂²×C₁₃	#548	1	2	yes	—
671	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	2	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	2	no	—
689	C₄×C₁₃	#548	1	2	yes	—
690	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
691	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
694	C₂²×Q₈	—	2	2	no	—
695	C₂²×Q₈	—	2	1	no	—
696	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
697	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
698	#137	—	2	4	no	—
699	AGL(1,ℤ/8)	—	2	4	no	—
700	#135	—	2	4	no	—
701	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×D₈	C₂³×C₁₃	1	2	yes	—
709	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	—	2	2	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	2	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
725	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
726	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
727	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
728	#127	C₂³×C₁₃	1	2	yes	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	D₄×C₁₃	1	1	yes	characteristic
738	#125	D₄×C₁₃	1	1	yes	characteristic
739	#125	C₂³×C₁₃	1	2	yes	—
740	#125	C₂³×C₁₃	1	2	yes	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	—	2	1	no	—
744	#124	—	2	1	no	—
745	#124	C₂³×C₁₃	1	2	yes	—
746	#124	C₂³×C₁₃	1	2	yes	—
747	#124	C₂³×C₁₃	1	2	yes	—
748	#124	C₂³×C₁₃	1	2	yes	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	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	2	yes	—
767	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#120	—	2	2	no	—
771	C₄×Q₈	—	2	2	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	2	no	—
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
777	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
778	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
783	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
784	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	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	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	C₄×D₄	C₂³×C₁₃	1	2	yes	—
801	C₄×D₄	C₂³×C₁₃	1	2	yes	—
802	C₄×D₄	C₂³×C₁₃	1	2	yes	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	—	2	2	no	—
808	#117	—	2	1	no	—
809	#117	—	2	1	no	—
810	#117	C₂³×C₁₃	1	1	yes	characteristic
811	#117	C₂³×C₁₃	1	1	yes	characteristic
812	#117	C₂³×C₁₃	1	1	yes	characteristic
813	#117	C₂³×C₁₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	2	no	—
818	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	—	2	1	no	—
821	C₂×C₂²⋊C₄	—	2	1	no	—
822	C₂×C₂²⋊C₄	—	2	2	no	—
823	C₂×C₄²	—	2	1	no	—
824	C₂×C₄²	—	2	1	no	—
825	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
826	#107	C₂³×C₁₃	1	1	yes	characteristic
827	#107	C₂³×C₁₃	1	1	yes	characteristic
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	2	yes	—
830	#106	C₂³×C₁₃	1	1	yes	characteristic
831	#106	C₂³×C₁₃	1	1	yes	characteristic
832	#106	C₂³×C₁₃	1	2	yes	—
833	#106	C₂³×C₁₃	1	2	yes	—
834	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
836	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
837	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
838	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	1	yes	characteristic
845	#103	C₂³×C₁₃	1	1	yes	characteristic
846	#103	C₂³×C₁₃	1	1	yes	characteristic
847	#103	C₂³×C₁₃	1	1	yes	characteristic
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	2	yes	—
856	#102	C₂³×C₁₃	1	1	yes	characteristic
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	1	yes	characteristic
859	#102	C₂³×C₁₃	1	1	yes	characteristic
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#97	C₂³×C₁₃	1	1	yes	characteristic
865	#97	C₂³×C₁₃	1	1	yes	characteristic
866	#97	C₂³×C₁₃	1	1	yes	characteristic
867	#97	C₂³×C₁₃	1	1	yes	characteristic
868	#97	C₂³×C₁₃	1	2	yes	—
869	#97	C₂³×C₁₃	1	2	yes	—
870	C₄×C₈	C₂³×C₁₃	1	2	yes	—
871	C₄×C₈	C₂³×C₁₃	1	2	yes	—
872	C₂×C₁₃	—	2	2	no	—
873	C₂×C₁₃	—	4	2	no	—
874	C₂×C₁₃	—	8	1	no	—
875	C₂×C₁₃	—	8	2	no	—
876	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
877	C₂×C₁₃	#3585	1	1	yes	characteristic
878	C₂×C₁₃	#3586	1	1	yes	characteristic
879	C₂⁴	—	2	1	no	—
880	#41	—	2	2	no	—
881	#41	—	2	2	no	—
882	#41	—	2	2	no	—
883	#41	C₁₃×#41	1	4	yes	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	2	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	8	2	no	—
892	C₂×Q₈	—	8	4	no	—
893	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
894	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
895	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
906	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
907	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
924	Q₁₆	—	2	2	no	—
925	Q₁₆	—	2	4	no	—
926	SD₁₆	—	2	2	no	—
927	SD₁₆	—	2	4	no	—
928	SD₁₆	—	2	2	no	—
929	SD₁₆	—	2	4	no	—
930	D₈	—	2	2	no	—
931	D₈	—	2	4	no	—
932	M₁₆	—	2	2	no	—
933	M₁₆	—	2	2	no	—
934	C₂×C₈	—	2	2	no	—
935	C₂×C₈	—	2	2	no	—
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
940	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
941	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₄⋊C₄	—	2	2	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	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
965	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
968	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
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	2	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
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	2	no	—
1008	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₁₃	1	2	yes	—
1011	C₄²	C₂⁴×C₁₃	1	2	yes	—
1012	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₁₃	#61336	1	1	yes	characteristic, direct product factor, Sylow
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	2	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	4	2	no	—
1019	C₂³	—	8	1	no	—
1020	C₂³	—	8	1	no	—
1021	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	—	4	2	no	—
1028	Q₈	—	4	2	no	—
1029	Q₈	—	4	4	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	—	8	2	no	—
1032	Q₈	—	8	2	no	—
1033	Q₈	—	8	2	no	—
1034	Q₈	C₂×C₁₃×#41	1	2	yes	—
1035	D₄	—	2	4	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	1	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	2	1	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	2	no	—
1045	D₄	C₂×C₁₃×#41	1	2	yes	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	4	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	8	1	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	1	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	1	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
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	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1077	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1078	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1079	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1080	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1081	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₈	—	2	2	no	—
1085	C₈	—	2	2	no	—
1086	C₈	—	2	1	no	—
1087	C₈	—	2	1	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	16	2	no	—
1100	C₂²	C₁₃×#548	1	2	yes	—
1101	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	2	2	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	C₁₃×#548	1	2	yes	—
1120	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1121	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1122	C₂	—	2	2	no	—
1123	C₂	—	4	2	no	—
1124	C₂	—	8	2	no	—
1125	C₂	—	8	1	no	—
1126	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
1127	C₂	C₁₃×#3585	1	1	yes	characteristic
1128	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×#3045	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3510	C₂	semidirect
2. C₁₃×#3503	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3373	C₂	semidirect
7. C₁₃×#3371	C₂	semidirect
8. C₁₃×#3370	C₂	semidirect
9. C₁₃×#3369	C₂	semidirect
10. C₁₃×#3367	C₂	semidirect
11. C₁₃×#3137	C₂	semidirect
12. C₁₃×#3136	C₂	semidirect
13. C₂×C₁₃×#489	C₂	semidirect
14. C₁₃×#3082	C₂	semidirect
15. C₁₃×#3081	C₂	semidirect
16. C₁₃×#3079	C₂	semidirect
17. C₁₃×#3046	C₂	semidirect
19. C₁₃×#3040	C₂	semidirect
20. C₁₃×#2961	C₂	semidirect
21. C₁₃×#2947	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₁₃×#2943	C₂	semidirect
29. Q₈²×C₁₃	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
60. C₁₃×#491	C₂²	semidirect
67. C₁₃×#489	C₂²	semidirect
69. C₁₃×#488	C₂²	semidirect
70. C₁₃×#487	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
76. C₁₃×#477	C₂²	semidirect
77. C₁₃×#477	C₂²	semidirect
79. C₁₃×#476	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
81. C₁₃×#475	C₂²	semidirect
83. C₁₃×#474	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
96. C₁₃×#446	C₂²	semidirect
97. C₁₃×#446	C₂²	semidirect
98. C₁₃×#446	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#441	C₂²	semidirect
104. C₁₃×#441	C₂²	semidirect
105. C₁₃×#441	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₁₃×#440	C₂²	semidirect
109. C₁₃×#440	C₂²	semidirect
110. C₁₃×#440	C₂²	semidirect
111. C₁₃×#440	C₂²	semidirect
112. C₄×C₁₃×Q₁₆	C₂²	semidirect
114. C₄×C₁₃×SD₁₆	C₂²	semidirect
315. #61336	C₁₃	direct (N × H)
451. #3510	C₂×C₁₃	semidirect
452. #3503	C₂×C₁₃	semidirect
453. #3377	C₂×C₁₃	semidirect
454. #3376	C₂×C₁₃	semidirect
455. #3375	C₂×C₁₃	semidirect
456. #3373	C₂×C₁₃	semidirect
457. #3371	C₂×C₁₃	semidirect
458. #3370	C₂×C₁₃	semidirect
459. #3369	C₂×C₁₃	semidirect
460. #3367	C₂×C₁₃	semidirect
461. #3137	C₂×C₁₃	semidirect
462. #3136	C₂×C₁₃	semidirect
463. C₂×#489	C₂×C₁₃	semidirect
464. #3082	C₂×C₁₃	semidirect
465. #3081	C₂×C₁₃	semidirect
466. #3079	C₂×C₁₃	semidirect
467. #3046	C₂×C₁₃	semidirect
469. #3040	C₂×C₁₃	semidirect
470. #2961	C₂×C₁₃	semidirect
471. #2947	C₂×C₁₃	semidirect
472. #2946	C₂×C₁₃	semidirect
473. #2943	C₂×C₁₃	semidirect
552. Q₈²	C₂²×C₁₃	semidirect
553. #557	C₂²×C₁₃	semidirect
557. #554	C₂²×C₁₃	semidirect
561. D₄×Q₈	C₂²×C₁₃	semidirect
583. #491	C₂²×C₁₃	semidirect
590. #489	C₂²×C₁₃	semidirect
592. #488	C₂²×C₁₃	semidirect
593. #487	C₂²×C₁₃	semidirect
595. #479	C₂²×C₁₃	semidirect
596. #479	C₂²×C₁₃	semidirect
599. #477	C₂²×C₁₃	semidirect
600. #477	C₂²×C₁₃	semidirect
602. #476	C₂²×C₁₃	semidirect
603. #475	C₂²×C₁₃	semidirect
604. #475	C₂²×C₁₃	semidirect
606. #474	C₂²×C₁₃	semidirect
610. #464	C₂²×C₁₃	semidirect
614. #463	C₂²×C₁₃	semidirect
615. #462	C₂²×C₁₃	semidirect
616. #461	C₂²×C₁₃	semidirect
619. #446	C₂²×C₁₃	semidirect
620. #446	C₂²×C₁₃	semidirect
621. #446	C₂²×C₁₃	semidirect
622. #446	C₂²×C₁₃	semidirect
624. #442	C₂²×C₁₃	semidirect
625. #442	C₂²×C₁₃	semidirect
626. #441	C₂²×C₁₃	semidirect
627. #441	C₂²×C₁₃	semidirect
628. #441	C₂²×C₁₃	semidirect
630. #440	C₂²×C₁₃	semidirect
631. #440	C₂²×C₁₃	semidirect
632. #440	C₂²×C₁₃	semidirect
633. #440	C₂²×C₁₃	semidirect
634. #440	C₂²×C₁₃	semidirect
635. C₄×Q₁₆	C₂²×C₁₃	semidirect
637. C₄×SD₁₆	C₂²×C₁₃	semidirect
1014. C₁₃	#61336	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×#3510	2
C₁₃×#3503	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3375	2
C₁₃×#3373	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3369	2
C₁₃×#3367	2
C₁₃×#3137	2
C₁₃×#3136	2
C₂×C₁₃×#489	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3079	2
C₁₃×#3046	2
C₁₃×#3045	2
C₁₃×#3040	2
C₁₃×#2961	2
C₁₃×#2947	2
C₁₃×#2946	2
C₁₃×#2943	2
#61336	13

Subgroups — C13×#61336 #15747675

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61336 #15747675