Subgroups — C₁₃×#62019 #15748358

Order 3328.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1066 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
8	D₄×C₁₃×SD₁₆	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3043	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
21	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
23	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
24	C₁₃×#562	—	2	1	no	—
25	C₁₃×H(3,𝔽₄)	—	2	1	no	—
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#557	—	2	1	no	—
28	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#552	—	2	2	no	—
33	C₁₃×#552	C₂²	1	2	yes	complemented
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
36	C₁₃×#548	C₂²	1	2	yes	—
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	C₂²	1	2	yes	—
39	D₄²×C₁₃	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	—
41	C₁₃×#541	—	2	2	no	—
42	C₁₃×#541	C₂²	1	2	yes	complemented
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#538	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	—
46	C₁₃×#534	—	2	1	no	—
47	C₁₃×#533	—	2	1	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
53	C₁₃×#519	C₂²	1	2	yes	complemented
54	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#497	C₂²	1	2	yes	complemented
56	C₁₃×#497	C₂²	1	2	yes	complemented
57	C₁₃×#492	C₂²	1	2	yes	—
58	C₁₃×#490	C₂²	1	2	yes	—
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#488	C₂²	1	2	yes	complemented
61	C₁₃×#485	C₂²	1	2	yes	complemented
62	C₁₃×#482	C₂²	1	2	yes	—
63	C₁₃×#480	C₂²	1	2	yes	complemented
64	C₁₃×#479	C₂²	1	2	yes	complemented
65	C₁₃×#478	C₂²	1	2	yes	complemented
66	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#476	C₂²	1	2	yes	complemented
69	C₁₃×#475	C₂²	1	2	yes	complemented
70	C₁₃×#470	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	—
72	C₁₃×#467	C₂²	1	2	yes	complemented
73	C₁₃×#465	C₂²	1	2	yes	—
74	C₁₃×#465	C₂²	1	2	yes	complemented
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#464	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#464	C₂²	1	2	yes	complemented
80	C₁₃×#464	C₂²	1	2	yes	complemented
81	C₁₃×#464	C₂²	1	2	yes	complemented
82	C₁₃×#464	C₂²	1	2	yes	complemented
83	C₁₃×#464	C₂²	1	2	yes	complemented
84	C₁₃×#462	C₂²	1	2	yes	complemented
85	C₁₃×#461	C₂²	1	2	yes	complemented
86	C₁₃×#461	C₂²	1	2	yes	complemented
87	C₁₃×#460	C₂²	1	2	yes	—
88	C₁₃×#460	C₂²	1	2	yes	—
89	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#460	C₂²	1	2	yes	complemented
91	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	2	yes	complemented
93	C₁₃×#452	C₂²	1	2	yes	complemented
94	C₁₃×#451	C₂²	1	2	yes	complemented
95	C₁₃×#451	C₂²	1	2	yes	complemented
96	C₁₃×#450	C₂²	1	2	yes	—
97	C₁₃×#450	C₂²	1	2	yes	complemented
98	C₁₃×#450	C₂²	1	2	yes	complemented
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	complemented
112	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#424	C₂²	1	2	yes	complemented
114	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#418	C₂²	1	2	yes	complemented
116	C₁₃×#416	C₂²	1	2	yes	complemented
117	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
122	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
123	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃	—	2	2	no	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₁₃×#137	—	4	4	no	—
128	C₂×C₁₃×Q₁₆	—	4	2	no	—
129	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
130	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
131	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
132	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
133	C₂×C₁₃×SD₁₆	—	4	2	no	—
134	C₂×C₁₃×SD₁₆	—	4	4	no	—
135	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
136	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
137	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
138	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
144	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
147	C₁₃×C₄⋊Q₈	—	2	1	no	—
148	C₁₃×C₄⋊Q₈	—	2	1	no	—
149	C₁₃×C₄⋊Q₈	—	2	2	no	—
150	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₁₃×#127	C₂³	1	2	yes	—
155	C₁₃×#127	C₂³	1	1	yes	characteristic
156	C₁₃×#126	—	2	2	no	—
157	C₁₃×#126	—	2	2	no	—
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	D₄	1	2	yes	—
162	C₁₃×#125	—	2	1	no	—
163	C₁₃×#125	—	2	2	no	—
164	C₁₃×#125	—	2	2	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	2	2	no	—
168	C₁₃×#125	—	2	1	no	—
169	C₁₃×#125	D₄	1	1	yes	characteristic
170	C₁₃×#125	C₂³	1	2	yes	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	1	no	—
173	C₁₃×#124	—	2	2	no	—
174	C₁₃×#124	—	2	2	no	—
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	—	2	1	no	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	D₄	1	1	yes	characteristic
179	C₁₃×#124	C₂³	1	2	yes	—
180	C₁₃×#124	C₂³	1	2	yes	—
181	C₁₃×#124	C₂³	1	2	yes	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	D₄	1	2	yes	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	D₄	1	1	yes	characteristic
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#120	—	2	2	no	—
209	C₁₃×#120	—	2	2	no	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	—	2	2	no	—
215	C₄×Q₈×C₁₃	—	2	2	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	C₂³	1	2	yes	—
236	C₄×D₄×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₁₃×#117	—	2	1	no	—
240	C₁₃×#117	—	2	2	no	—
241	C₁₃×#117	—	2	2	no	—
242	C₁₃×#117	—	2	2	no	—
243	C₁₃×#117	C₂³	1	2	yes	—
244	C₁₃×#117	C₂³	1	2	yes	—
245	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₄²×C₁₃	—	2	1	no	—
251	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#107	C₂³	1	2	yes	—
253	C₁₃×#107	C₂³	1	2	yes	—
254	C₁₃×#106	C₂³	1	2	yes	—
255	C₁₃×#106	C₂³	1	2	yes	—
256	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
257	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#103	C₂³	1	2	yes	—
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#103	C₂³	1	2	yes	—
268	C₁₃×#103	C₂³	1	2	yes	—
269	C₁₃×#103	C₂³	1	2	yes	—
270	C₁₃×#102	C₂³	1	2	yes	—
271	C₁₃×#102	C₂³	1	2	yes	—
272	C₁₃×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×#102	C₂³	1	2	yes	—
277	C₁₃×#102	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₃×#97	C₂³	1	2	yes	—
282	C₁₃×#97	C₂³	1	2	yes	—
283	C₄×C₈×C₁₃	C₂³	1	2	yes	—
284	#62019	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂⁴×C₁₃	—	2	1	no	—
286	C₂⁴×C₁₃	—	2	2	no	—
287	C₁₃×#41	—	4	2	no	—
288	C₁₃×#41	—	4	2	no	—
289	C₁₃×#41	—	8	2	no	—
290	C₂×Q₈×C₁₃	—	2	1	no	—
291	C₂×Q₈×C₁₃	—	2	2	no	—
292	C₂×Q₈×C₁₃	—	2	1	no	—
293	C₂×Q₈×C₁₃	—	2	1	no	—
294	C₂×Q₈×C₁₃	—	2	1	no	—
295	C₂×Q₈×C₁₃	—	2	2	no	—
296	C₂×Q₈×C₁₃	—	2	4	no	—
297	C₂×Q₈×C₁₃	—	4	1	no	—
298	C₂×Q₈×C₁₃	—	4	2	no	—
299	C₂×Q₈×C₁₃	—	4	1	no	—
300	C₂×Q₈×C₁₃	—	4	1	no	—
301	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
302	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
303	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂×D₄×C₁₃	—	2	2	no	—
307	C₂×D₄×C₁₃	—	2	2	no	—
308	C₂×D₄×C₁₃	—	2	2	no	—
309	C₂×D₄×C₁₃	—	2	2	no	—
310	C₂×D₄×C₁₃	—	2	1	no	—
311	C₂×D₄×C₁₃	—	2	1	no	—
312	C₂×D₄×C₁₃	—	2	1	no	—
313	C₂×D₄×C₁₃	—	2	2	no	—
314	C₂×D₄×C₁₃	—	2	2	no	—
315	C₂×D₄×C₁₃	—	4	1	no	—
316	C₂×D₄×C₁₃	—	4	2	no	—
317	C₂×D₄×C₁₃	—	4	1	no	—
318	C₂×D₄×C₁₃	—	4	2	no	—
319	C₂×D₄×C₁₃	—	8	4	no	—
320	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
321	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
322	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃	—	2	1	no	—
325	C₂²×C₄×C₁₃	—	2	1	no	—
326	C₂²×C₄×C₁₃	—	2	2	no	—
327	C₂²×C₄×C₁₃	—	2	1	no	—
328	C₂²×C₄×C₁₃	—	2	2	no	—
329	C₂²×C₄×C₁₃	—	2	2	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
335	C₁₃×Q₁₆	—	2	4	no	—
336	C₁₃×Q₁₆	—	4	2	no	—
337	C₁₃×Q₁₆	—	4	2	no	—
338	C₁₃×Q₁₆	—	4	2	no	—
339	C₁₃×SD₁₆	—	2	4	no	—
340	C₁₃×SD₁₆	—	2	4	no	—
341	C₁₃×SD₁₆	—	4	2	no	—
342	C₁₃×SD₁₆	—	4	2	no	—
343	C₁₃×SD₁₆	—	4	2	no	—
344	C₁₃×SD₁₆	—	4	2	no	—
345	C₁₃×SD₁₆	—	4	2	no	—
346	C₁₃×SD₁₆	—	4	2	no	—
347	C₁₃×M₁₆	—	4	2	no	—
348	C₂×C₈×C₁₃	—	4	1	no	—
349	C₂×C₈×C₁₃	—	4	2	no	—
350	C₂×C₈×C₁₃	—	4	1	no	—
351	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
352	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
353	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
354	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
355	C₁₃×C₄⋊C₄	—	2	1	no	—
356	C₁₃×C₄⋊C₄	—	2	1	no	—
357	C₁₃×C₄⋊C₄	—	2	1	no	—
358	C₁₃×C₄⋊C₄	—	2	1	no	—
359	C₁₃×C₄⋊C₄	—	2	1	no	—
360	C₁₃×C₄⋊C₄	—	2	2	no	—
361	C₁₃×C₄⋊C₄	—	2	2	no	—
362	C₁₃×C₄⋊C₄	—	2	2	no	—
363	C₁₃×C₄⋊C₄	—	2	1	no	—
364	C₁₃×C₄⋊C₄	—	2	2	no	—
365	C₁₃×C₄⋊C₄	—	2	1	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	1	no	—
368	C₁₃×C₄⋊C₄	—	2	2	no	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
377	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
378	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
379	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
380	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
381	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
383	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
384	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	2	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	2	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	2	no	—
394	C₁₃×C₂²⋊C₄	—	2	2	no	—
395	C₁₃×C₂²⋊C₄	—	2	2	no	—
396	C₁₃×C₂²⋊C₄	—	2	2	no	—
397	C₁₃×C₂²⋊C₄	—	2	2	no	—
398	C₁₃×C₂²⋊C₄	—	2	2	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	—	2	2	no	—
401	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
406	C₄²×C₁₃	—	2	1	no	—
407	C₄²×C₁₃	—	2	1	no	—
408	C₄²×C₁₃	—	2	1	no	—
409	C₄²×C₁₃	—	2	1	no	—
410	C₄²×C₁₃	—	2	2	no	—
411	C₄²×C₁₃	—	2	2	no	—
412	C₄²×C₁₃	—	2	2	no	—
413	C₄²×C₁₃	—	2	2	no	—
414	C₄²×C₁₃	—	2	2	no	—
415	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
416	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₁₃	C₂⁴	1	2	yes	—
418	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
420	#3558	C₂×C₁₃	1	1	yes	characteristic
421	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#3400	C₂×C₁₃	1	2	yes	complemented
423	#3371	C₂×C₁₃	1	2	yes	complemented
424	#3311	C₂×C₁₃	1	2	yes	complemented
425	#3310	C₂×C₁₃	1	2	yes	complemented
426	#3300	C₂×C₁₃	1	2	yes	complemented
427	D₄×SD₁₆	C₂×C₁₃	1	2	yes	complemented
428	#3270	C₂×C₁₃	1	2	yes	complemented
429	#3266	C₂×C₁₃	1	2	yes	complemented
430	#3258	C₂×C₁₃	1	2	yes	complemented
431	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
432	#3222	C₂×C₁₃	1	2	yes	complemented
433	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#3121	C₂×C₁₃	1	2	yes	complemented
435	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#3043	C₂×C₁₃	1	2	yes	complemented
437	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
438	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
439	C₂³×C₁₃	—	2	2	no	—
440	C₂³×C₁₃	—	2	2	no	—
441	C₂³×C₁₃	—	4	2	no	—
442	C₂³×C₁₃	—	8	1	no	—
443	C₂³×C₁₃	—	8	2	no	—
444	C₂³×C₁₃	—	8	2	no	—
445	C₂³×C₁₃	—	8	1	no	—
446	C₂³×C₁₃	—	8	2	no	—
447	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
448	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
449	Q₈×C₁₃	—	2	1	no	—
450	Q₈×C₁₃	—	2	2	no	—
451	Q₈×C₁₃	—	2	1	no	—
452	Q₈×C₁₃	—	2	2	no	—
453	Q₈×C₁₃	—	2	1	no	—
454	Q₈×C₁₃	—	2	2	no	—
455	Q₈×C₁₃	—	2	2	no	—
456	Q₈×C₁₃	—	4	1	no	—
457	Q₈×C₁₃	—	4	4	no	—
458	Q₈×C₁₃	—	4	2	no	—
459	Q₈×C₁₃	—	4	2	no	—
460	Q₈×C₁₃	—	8	1	no	—
461	Q₈×C₁₃	—	8	1	no	—
462	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
463	D₄×C₁₃	—	2	4	no	—
464	D₄×C₁₃	—	2	2	no	—
465	D₄×C₁₃	—	2	2	no	—
466	D₄×C₁₃	—	2	2	no	—
467	D₄×C₁₃	—	2	2	no	—
468	D₄×C₁₃	—	4	1	no	—
469	D₄×C₁₃	—	4	4	no	—
470	D₄×C₁₃	—	8	1	no	—
471	D₄×C₁₃	—	8	2	no	—
472	D₄×C₁₃	—	8	2	no	—
473	D₄×C₁₃	—	8	1	no	—
474	D₄×C₁₃	—	8	2	no	—
475	D₄×C₁₃	—	8	1	no	—
476	D₄×C₁₃	—	8	2	no	—
477	D₄×C₁₃	—	8	2	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	1	no	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	1	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	4	1	no	—
492	C₂×C₄×C₁₃	—	4	2	no	—
493	C₂×C₄×C₁₃	—	4	4	no	—
494	C₂×C₄×C₁₃	—	4	2	no	—
495	C₂×C₄×C₁₃	—	8	2	no	—
496	C₂×C₄×C₁₃	—	8	2	no	—
497	C₂×C₄×C₁₃	—	8	2	no	—
498	C₂×C₄×C₁₃	—	8	1	no	—
499	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
508	C₈×C₁₃	—	2	2	no	—
509	C₈×C₁₃	—	2	2	no	—
510	C₈×C₁₃	—	2	2	no	—
511	C₈×C₁₃	—	2	2	no	—
512	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
513	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
514	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
515	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
516	#562	—	2	1	no	—
517	H(3,𝔽₄)	—	2	1	no	—
518	#559	C₂²×C₁₃	1	2	yes	—
519	#557	—	2	1	no	—
520	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
521	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	#556	—	2	1	no	—
523	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
524	#552	—	2	2	no	—
525	#552	C₂²×C₁₃	1	2	yes	complemented
526	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
527	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
528	#548	C₂²×C₁₃	1	2	yes	—
529	#546	—	2	2	no	—
530	#546	C₂²×C₁₃	1	2	yes	—
531	D₄²	C₂²×C₁₃	1	2	yes	—
532	#542	C₂²×C₁₃	1	2	yes	—
533	#541	—	2	2	no	—
534	#541	C₂²×C₁₃	1	2	yes	complemented
535	#538	—	2	2	no	—
536	#538	—	2	1	no	—
537	#535	C₂²×C₁₃	1	2	yes	—
538	#534	—	2	1	no	—
539	#533	—	2	1	no	—
540	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
541	#532	C₂²×C₁₃	1	1	yes	characteristic
542	#529	—	2	1	no	—
543	#529	C₂²×C₁₃	1	1	yes	characteristic
544	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
545	#519	C₂²×C₁₃	1	2	yes	complemented
546	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	#497	C₂²×C₁₃	1	2	yes	complemented
548	#497	C₂²×C₁₃	1	2	yes	complemented
549	#492	C₂²×C₁₃	1	2	yes	—
550	#490	C₂²×C₁₃	1	2	yes	—
551	#489	C₂²×C₁₃	1	2	yes	complemented
552	#488	C₂²×C₁₃	1	2	yes	complemented
553	#485	C₂²×C₁₃	1	2	yes	complemented
554	#482	C₂²×C₁₃	1	2	yes	—
555	#480	C₂²×C₁₃	1	2	yes	complemented
556	#479	C₂²×C₁₃	1	2	yes	complemented
557	#478	C₂²×C₁₃	1	2	yes	complemented
558	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
559	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	#476	C₂²×C₁₃	1	2	yes	complemented
561	#475	C₂²×C₁₃	1	2	yes	complemented
562	#470	C₂²×C₁₃	1	2	yes	complemented
563	#468	C₂²×C₁₃	1	2	yes	—
564	#467	C₂²×C₁₃	1	2	yes	complemented
565	#465	C₂²×C₁₃	1	2	yes	—
566	#465	C₂²×C₁₃	1	2	yes	complemented
567	#465	C₂²×C₁₃	1	2	yes	complemented
568	#464	C₂²×C₁₃	1	2	yes	complemented
569	#464	C₂²×C₁₃	1	2	yes	complemented
570	#464	C₂²×C₁₃	1	2	yes	complemented
571	#464	C₂²×C₁₃	1	2	yes	complemented
572	#464	C₂²×C₁₃	1	2	yes	complemented
573	#464	C₂²×C₁₃	1	2	yes	complemented
574	#464	C₂²×C₁₃	1	2	yes	complemented
575	#464	C₂²×C₁₃	1	2	yes	complemented
576	#462	C₂²×C₁₃	1	2	yes	complemented
577	#461	C₂²×C₁₃	1	2	yes	complemented
578	#461	C₂²×C₁₃	1	2	yes	complemented
579	#460	C₂²×C₁₃	1	2	yes	—
580	#460	C₂²×C₁₃	1	2	yes	—
581	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#460	C₂²×C₁₃	1	2	yes	complemented
584	#452	C₂²×C₁₃	1	2	yes	complemented
585	#452	C₂²×C₁₃	1	2	yes	complemented
586	#451	C₂²×C₁₃	1	2	yes	complemented
587	#451	C₂²×C₁₃	1	2	yes	complemented
588	#450	C₂²×C₁₃	1	2	yes	—
589	#450	C₂²×C₁₃	1	2	yes	complemented
590	#450	C₂²×C₁₃	1	2	yes	complemented
591	#448	C₂²×C₁₃	1	2	yes	—
592	#448	C₂²×C₁₃	1	2	yes	complemented
593	#446	C₂²×C₁₃	1	2	yes	complemented
594	#441	C₂²×C₁₃	1	2	yes	complemented
595	#440	C₂²×C₁₃	1	2	yes	complemented
596	#440	C₂²×C₁₃	1	2	yes	complemented
597	#440	C₂²×C₁₃	1	2	yes	complemented
598	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
599	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
600	#435	C₂²×C₁₃	1	2	yes	complemented
601	#435	C₂²×C₁₃	1	2	yes	complemented
602	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
603	#433	C₂²×C₁₃	1	2	yes	complemented
604	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#424	C₂²×C₁₃	1	2	yes	complemented
606	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#418	C₂²×C₁₃	1	2	yes	complemented
608	#416	C₂²×C₁₃	1	2	yes	complemented
609	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
611	C₂²×C₁₃	—	2	1	no	—
612	C₂²×C₁₃	—	2	1	no	—
613	C₂²×C₁₃	—	2	2	no	—
614	C₂²×C₁₃	—	2	2	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	—	4	2	no	—
618	C₂²×C₁₃	—	4	2	no	—
619	C₂²×C₁₃	—	4	2	no	—
620	C₂²×C₁₃	—	4	2	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	—	16	2	no	—
623	C₂²×C₁₃	—	16	4	no	—
624	C₂²×C₁₃	#577	1	2	yes	—
625	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
626	C₄×C₁₃	—	2	1	no	—
627	C₄×C₁₃	—	2	1	no	—
628	C₄×C₁₃	—	2	2	no	—
629	C₄×C₁₃	—	2	2	no	—
630	C₄×C₁₃	—	2	1	no	—
631	C₄×C₁₃	—	2	2	no	—
632	C₄×C₁₃	—	2	1	no	—
633	C₄×C₁₃	—	2	1	no	—
634	C₄×C₁₃	—	2	2	no	—
635	C₄×C₁₃	—	4	2	no	—
636	C₄×C₁₃	—	4	2	no	—
637	C₄×C₁₃	—	4	1	no	—
638	C₄×C₁₃	—	4	2	no	—
639	C₄×C₁₃	—	4	1	no	—
640	C₄×C₁₃	—	4	1	no	—
641	C₄×C₁₃	—	4	2	no	—
642	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
643	C₄×C₁₃	#585	1	1	yes	characteristic
644	C₂×#41	—	2	1	no	—
645	C₂×#41	C₂³×C₁₃	1	2	yes	—
646	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
647	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
648	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
649	C₂²×D₄	—	2	2	no	—
650	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
651	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
652	#137	—	4	4	no	—
653	C₂×Q₁₆	—	4	2	no	—
654	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
655	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
656	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
657	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
658	C₂×SD₁₆	—	4	2	no	—
659	C₂×SD₁₆	—	4	4	no	—
660	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
661	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
662	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
663	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
664	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
665	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
666	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
667	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
668	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
669	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
670	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
671	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
672	C₄⋊Q₈	—	2	1	no	—
673	C₄⋊Q₈	—	2	1	no	—
674	C₄⋊Q₈	—	2	2	no	—
675	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
676	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
677	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
678	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
679	#127	C₂³×C₁₃	1	1	yes	characteristic
680	#127	C₂³×C₁₃	1	2	yes	—
681	#126	—	2	2	no	—
682	#126	—	2	2	no	—
683	#126	—	2	2	no	—
684	#126	—	2	2	no	—
685	#126	—	2	2	no	—
686	#126	D₄×C₁₃	1	2	yes	—
687	#125	—	2	1	no	—
688	#125	—	2	2	no	—
689	#125	—	2	2	no	—
690	#125	—	2	2	no	—
691	#125	—	2	2	no	—
692	#125	—	2	2	no	—
693	#125	—	2	1	no	—
694	#125	D₄×C₁₃	1	1	yes	characteristic
695	#125	C₂³×C₁₃	1	2	yes	—
696	#124	—	2	2	no	—
697	#124	—	2	1	no	—
698	#124	—	2	2	no	—
699	#124	—	2	2	no	—
700	#124	—	2	1	no	—
701	#124	—	2	1	no	—
702	#124	—	2	1	no	—
703	#124	D₄×C₁₃	1	1	yes	characteristic
704	#124	C₂³×C₁₃	1	2	yes	—
705	#124	C₂³×C₁₃	1	2	yes	—
706	#124	C₂³×C₁₃	1	2	yes	—
707	#123	—	2	2	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	D₄×C₁₃	1	2	yes	—
713	C₂²⋊Q₈	—	2	1	no	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	—	2	2	no	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
720	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
722	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
723	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	#121	—	2	2	no	—
725	#121	—	2	1	no	—
726	#121	—	2	2	no	—
727	#121	—	2	2	no	—
728	#121	—	2	2	no	—
729	#121	—	2	2	no	—
730	#121	D₄×C₁₃	1	1	yes	characteristic
731	#121	C₂³×C₁₃	1	2	yes	—
732	#121	C₂³×C₁₃	1	2	yes	—
733	#120	—	2	2	no	—
734	#120	—	2	2	no	—
735	#120	—	2	2	no	—
736	#120	—	2	2	no	—
737	#120	—	2	2	no	—
738	C₄×Q₈	—	2	1	no	—
739	C₄×Q₈	—	2	2	no	—
740	C₄×Q₈	—	2	2	no	—
741	C₄×Q₈	—	2	1	no	—
742	C₄×Q₈	—	2	1	no	—
743	C₄×Q₈	—	2	1	no	—
744	C₄×Q₈	—	2	1	no	—
745	C₄×Q₈	—	2	1	no	—
746	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
747	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
748	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
749	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
750	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
751	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
752	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
753	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
754	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	1	no	—
757	C₄×D₄	—	2	2	no	—
758	C₄×D₄	—	2	2	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	C₂³×C₁₃	1	2	yes	—
761	C₄×D₄	C₂³×C₁₃	1	2	yes	—
762	C₄×D₄	C₂³×C₁₃	1	2	yes	—
763	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
764	#117	—	2	1	no	—
765	#117	—	2	2	no	—
766	#117	—	2	2	no	—
767	#117	—	2	2	no	—
768	#117	C₂³×C₁₃	1	2	yes	—
769	#117	C₂³×C₁₃	1	2	yes	—
770	C₂×C₄⋊C₄	—	2	1	no	—
771	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	—	2	1	no	—
773	C₂×C₂²⋊C₄	—	2	1	no	—
774	C₂×C₂²⋊C₄	—	2	2	no	—
775	C₂×C₄²	—	2	1	no	—
776	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
777	#107	C₂³×C₁₃	1	2	yes	—
778	#107	C₂³×C₁₃	1	2	yes	—
779	#106	C₂³×C₁₃	1	2	yes	—
780	#106	C₂³×C₁₃	1	2	yes	—
781	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
782	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
783	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
785	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
786	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
787	#103	C₂³×C₁₃	1	2	yes	—
788	#103	C₂³×C₁₃	1	2	yes	—
789	#103	C₂³×C₁₃	1	2	yes	—
790	#103	C₂³×C₁₃	1	2	yes	—
791	#103	C₂³×C₁₃	1	2	yes	—
792	#103	C₂³×C₁₃	1	2	yes	—
793	#103	C₂³×C₁₃	1	2	yes	—
794	#103	C₂³×C₁₃	1	2	yes	—
795	#102	C₂³×C₁₃	1	2	yes	—
796	#102	C₂³×C₁₃	1	2	yes	—
797	#102	C₂³×C₁₃	1	2	yes	—
798	#102	C₂³×C₁₃	1	2	yes	—
799	#102	C₂³×C₁₃	1	2	yes	—
800	#102	C₂³×C₁₃	1	2	yes	—
801	#102	C₂³×C₁₃	1	2	yes	—
802	#102	C₂³×C₁₃	1	2	yes	—
803	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
804	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
805	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
806	#97	C₂³×C₁₃	1	2	yes	—
807	#97	C₂³×C₁₃	1	2	yes	—
808	C₄×C₈	C₂³×C₁₃	1	2	yes	—
809	C₂×C₁₃	—	2	2	no	—
810	C₂×C₁₃	—	4	2	no	—
811	C₂×C₁₃	—	8	2	no	—
812	C₂×C₁₃	—	8	2	no	—
813	C₂×C₁₃	#3488	1	1	yes	characteristic
814	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
815	C₂×C₁₃	#3586	1	1	yes	characteristic
816	C₂⁴	—	2	1	no	—
817	C₂⁴	—	2	2	no	—
818	#41	—	4	2	no	—
819	#41	—	4	2	no	—
820	#41	—	8	2	no	—
821	C₂×Q₈	—	2	1	no	—
822	C₂×Q₈	—	2	2	no	—
823	C₂×Q₈	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	1	no	—
826	C₂×Q₈	—	2	2	no	—
827	C₂×Q₈	—	2	4	no	—
828	C₂×Q₈	—	4	1	no	—
829	C₂×Q₈	—	4	2	no	—
830	C₂×Q₈	—	4	1	no	—
831	C₂×Q₈	—	4	1	no	—
832	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
833	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
834	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
835	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
836	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	2	no	—
839	C₂×D₄	—	2	2	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	1	no	—
842	C₂×D₄	—	2	1	no	—
843	C₂×D₄	—	2	1	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	4	1	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	8	4	no	—
851	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
852	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
853	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
854	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
863	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
866	Q₁₆	—	2	4	no	—
867	Q₁₆	—	4	2	no	—
868	Q₁₆	—	4	2	no	—
869	Q₁₆	—	4	2	no	—
870	SD₁₆	—	2	4	no	—
871	SD₁₆	—	2	4	no	—
872	SD₁₆	—	4	2	no	—
873	SD₁₆	—	4	2	no	—
874	SD₁₆	—	4	2	no	—
875	SD₁₆	—	4	2	no	—
876	SD₁₆	—	4	2	no	—
877	SD₁₆	—	4	2	no	—
878	M₁₆	—	4	2	no	—
879	C₂×C₈	—	4	1	no	—
880	C₂×C₈	—	4	2	no	—
881	C₂×C₈	—	4	1	no	—
882	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
883	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
884	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
885	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
886	C₄⋊C₄	—	2	1	no	—
887	C₄⋊C₄	—	2	1	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	1	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
909	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
910	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
911	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
912	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
913	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
914	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	2	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
933	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
934	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
935	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
936	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
937	C₄²	—	2	1	no	—
938	C₄²	—	2	1	no	—
939	C₄²	—	2	1	no	—
940	C₄²	—	2	1	no	—
941	C₄²	—	2	2	no	—
942	C₄²	—	2	2	no	—
943	C₄²	—	2	2	no	—
944	C₄²	—	2	2	no	—
945	C₄²	—	2	2	no	—
946	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₄²	C₂⁴×C₁₃	1	2	yes	—
949	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₁₃	#62019	1	1	yes	characteristic, direct product factor, Sylow
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	4	2	no	—
955	C₂³	—	8	1	no	—
956	C₂³	—	8	2	no	—
957	C₂³	—	8	2	no	—
958	C₂³	—	8	1	no	—
959	C₂³	—	8	2	no	—
960	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
961	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
962	Q₈	—	2	1	no	—
963	Q₈	—	2	2	no	—
964	Q₈	—	2	1	no	—
965	Q₈	—	2	2	no	—
966	Q₈	—	2	1	no	—
967	Q₈	—	2	2	no	—
968	Q₈	—	2	2	no	—
969	Q₈	—	4	1	no	—
970	Q₈	—	4	4	no	—
971	Q₈	—	4	2	no	—
972	Q₈	—	4	2	no	—
973	Q₈	—	8	1	no	—
974	Q₈	—	8	1	no	—
975	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
976	D₄	—	2	4	no	—
977	D₄	—	2	2	no	—
978	D₄	—	2	2	no	—
979	D₄	—	2	2	no	—
980	D₄	—	2	2	no	—
981	D₄	—	4	1	no	—
982	D₄	—	4	4	no	—
983	D₄	—	8	2	no	—
984	D₄	—	8	1	no	—
985	D₄	—	8	2	no	—
986	D₄	—	8	1	no	—
987	D₄	—	8	2	no	—
988	D₄	—	8	1	no	—
989	D₄	—	8	2	no	—
990	D₄	—	8	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	4	1	no	—
1005	C₂×C₄	—	4	2	no	—
1006	C₂×C₄	—	4	4	no	—
1007	C₂×C₄	—	4	2	no	—
1008	C₂×C₄	—	8	2	no	—
1009	C₂×C₄	—	8	2	no	—
1010	C₂×C₄	—	8	2	no	—
1011	C₂×C₄	—	8	1	no	—
1012	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1013	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1014	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1015	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1016	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1017	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1018	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1019	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1020	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1021	C₈	—	2	2	no	—
1022	C₈	—	2	2	no	—
1023	C₈	—	2	2	no	—
1024	C₈	—	2	2	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	2	no	—
1036	C₂²	—	16	2	no	—
1037	C₂²	—	16	4	no	—
1038	C₂²	C₁₃×#577	1	2	yes	—
1039	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	1	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	2	2	no	—
1046	C₄	—	2	2	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	2	2	no	—
1049	C₄	—	4	1	no	—
1050	C₄	—	4	1	no	—
1051	C₄	—	4	2	no	—
1052	C₄	—	4	2	no	—
1053	C₄	—	4	2	no	—
1054	C₄	—	4	1	no	—
1055	C₄	—	4	2	no	—
1056	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1057	C₄	C₁₃×#585	1	1	yes	characteristic
1058	C₂	—	2	2	no	—
1059	C₂	—	4	2	no	—
1060	C₂	—	8	2	no	—
1061	C₂	—	8	2	no	—
1062	C₂	C₁₃×#3488	1	1	yes	characteristic
1063	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1064	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×#3558	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×#3371	C₂	semidirect
5. C₁₃×#3311	C₂	semidirect
6. C₁₃×#3310	C₂	semidirect
7. C₁₃×#3300	C₂	semidirect
8. D₄×C₁₃×SD₁₆	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3258	C₂	semidirect
12. C₁₃×#3246	C₂	semidirect
13. C₁₃×#3222	C₂	semidirect
14. C₁₃×#3215	C₂	semidirect
15. C₁₃×#3121	C₂	semidirect
16. C₁₃×#3112	C₂	semidirect
17. C₁₃×#3043	C₂	semidirect
18. C₂×C₁₃×#464	C₂	semidirect
19. C₁₃×#2992	C₂	semidirect
20. C₂×C₁₃×#137	C₂²	semidirect
21. C₂²×C₁₃×Q₁₆	C₂²	semidirect
23. C₂²×C₁₃×SD₁₆	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
34. D₄×Q₈×C₁₃	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#541	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
53. C₁₃×#519	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
55. C₁₃×#497	C₂²	semidirect
56. C₁₃×#497	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#485	C₂²	semidirect
63. C₁₃×#480	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#478	C₂²	semidirect
66. C₁₃×#477	C₂²	semidirect
67. C₁₃×#477	C₂²	semidirect
68. C₁₃×#476	C₂²	semidirect
69. C₁₃×#475	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
72. C₁₃×#467	C₂²	semidirect
74. C₁₃×#465	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#464	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
80. C₁₃×#464	C₂²	semidirect
81. C₁₃×#464	C₂²	semidirect
82. C₁₃×#464	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#462	C₂²	semidirect
85. C₁₃×#461	C₂²	semidirect
86. C₁₃×#461	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#460	C₂²	semidirect
91. C₁₃×#460	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#451	C₂²	semidirect
95. C₁₃×#451	C₂²	semidirect
97. C₁₃×#450	C₂²	semidirect
98. C₁₃×#450	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₄×C₁₃×Q₁₆	C₂²	semidirect
107. C₄×C₁₃×SD₁₆	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₈×D₄×C₁₃	C₂²	semidirect
111. C₁₃×#433	C₂²	semidirect
112. C₁₃×#432	C₂²	semidirect
113. C₁₃×#424	C₂²	semidirect
114. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
115. C₁₃×#418	C₂²	semidirect
116. C₁₃×#416	C₂²	semidirect
117. C₂×C₁₃×#103	C₂²	semidirect
284. #62019	C₁₃	direct (N × H)
421. #3523	C₂×C₁₃	semidirect
422. #3400	C₂×C₁₃	semidirect
423. #3371	C₂×C₁₃	semidirect
424. #3311	C₂×C₁₃	semidirect
425. #3310	C₂×C₁₃	semidirect
426. #3300	C₂×C₁₃	semidirect
427. D₄×SD₁₆	C₂×C₁₃	semidirect
428. #3270	C₂×C₁₃	semidirect
429. #3266	C₂×C₁₃	semidirect
430. #3258	C₂×C₁₃	semidirect
431. #3246	C₂×C₁₃	semidirect
432. #3222	C₂×C₁₃	semidirect
433. #3215	C₂×C₁₃	semidirect
434. #3121	C₂×C₁₃	semidirect
435. #3112	C₂×C₁₃	semidirect
436. #3043	C₂×C₁₃	semidirect
437. C₂×#464	C₂×C₁₃	semidirect
438. #2992	C₂×C₁₃	semidirect
512. C₂×#137	C₂²×C₁₃	semidirect
513. C₂²×Q₁₆	C₂²×C₁₃	semidirect
515. C₂²×SD₁₆	C₂²×C₁₃	semidirect
520. #557	C₂²×C₁₃	semidirect
521. #557	C₂²×C₁₃	semidirect
523. #556	C₂²×C₁₃	semidirect
525. #552	C₂²×C₁₃	semidirect
526. D₄×Q₈	C₂²×C₁₃	semidirect
527. D₄×Q₈	C₂²×C₁₃	semidirect
534. #541	C₂²×C₁₃	semidirect
540. #533	C₂²×C₁₃	semidirect
545. #519	C₂²×C₁₃	semidirect
546. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
547. #497	C₂²×C₁₃	semidirect
548. #497	C₂²×C₁₃	semidirect
551. #489	C₂²×C₁₃	semidirect
552. #488	C₂²×C₁₃	semidirect
553. #485	C₂²×C₁₃	semidirect
555. #480	C₂²×C₁₃	semidirect
556. #479	C₂²×C₁₃	semidirect
557. #478	C₂²×C₁₃	semidirect
558. #477	C₂²×C₁₃	semidirect
559. #477	C₂²×C₁₃	semidirect
560. #476	C₂²×C₁₃	semidirect
561. #475	C₂²×C₁₃	semidirect
562. #470	C₂²×C₁₃	semidirect
564. #467	C₂²×C₁₃	semidirect
566. #465	C₂²×C₁₃	semidirect
567. #465	C₂²×C₁₃	semidirect
568. #464	C₂²×C₁₃	semidirect
569. #464	C₂²×C₁₃	semidirect
570. #464	C₂²×C₁₃	semidirect
571. #464	C₂²×C₁₃	semidirect
572. #464	C₂²×C₁₃	semidirect
573. #464	C₂²×C₁₃	semidirect
574. #464	C₂²×C₁₃	semidirect
575. #464	C₂²×C₁₃	semidirect
576. #462	C₂²×C₁₃	semidirect
577. #461	C₂²×C₁₃	semidirect
578. #461	C₂²×C₁₃	semidirect
581. #460	C₂²×C₁₃	semidirect
582. #460	C₂²×C₁₃	semidirect
583. #460	C₂²×C₁₃	semidirect
584. #452	C₂²×C₁₃	semidirect
585. #452	C₂²×C₁₃	semidirect
586. #451	C₂²×C₁₃	semidirect
587. #451	C₂²×C₁₃	semidirect
589. #450	C₂²×C₁₃	semidirect
590. #450	C₂²×C₁₃	semidirect
592. #448	C₂²×C₁₃	semidirect
593. #446	C₂²×C₁₃	semidirect
594. #441	C₂²×C₁₃	semidirect
595. #440	C₂²×C₁₃	semidirect
596. #440	C₂²×C₁₃	semidirect
597. #440	C₂²×C₁₃	semidirect
598. C₄×Q₁₆	C₂²×C₁₃	semidirect
599. C₄×SD₁₆	C₂²×C₁₃	semidirect
600. #435	C₂²×C₁₃	semidirect
601. #435	C₂²×C₁₃	semidirect
602. C₈×D₄	C₂²×C₁₃	semidirect
603. #433	C₂²×C₁₃	semidirect
604. #432	C₂²×C₁₃	semidirect
605. #424	C₂²×C₁₃	semidirect
606. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
607. #418	C₂²×C₁₃	semidirect
608. #416	C₂²×C₁₃	semidirect
609. C₂×#103	C₂²×C₁₃	semidirect
951. C₁₃	#62019	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×#3558	2
C₁₃×#3523	2
C₁₃×#3400	2
C₁₃×#3371	2
C₁₃×#3311	2
C₁₃×#3310	2
C₁₃×#3300	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3270	2
C₁₃×#3266	2
C₁₃×#3258	2
C₁₃×#3246	2
C₁₃×#3222	2
C₁₃×#3215	2
C₁₃×#3121	2
C₁₃×#3112	2
C₁₃×#3043	2
C₂×C₁₃×#464	2
C₁₃×#2992	2
#62019	13

Subgroups — C13×#62019 #15748358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62019 #15748358