Subgroups — C₁₃×#62018 #15748357

Order 3328.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1106 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, complemented
2	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3373	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3295	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3263	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
22	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
24	C₁₃×#562	—	2	1	no	—
25	C₁₃×H(3,𝔽₄)	—	2	1	no	—
26	C₁₃×#559	C₂²	1	2	yes	complemented
27	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#554	C₂²	1	2	yes	complemented
29	C₁₃×#552	—	2	1	no	—
30	C₁₃×#551	—	2	2	no	—
31	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#548	—	2	1	no	—
33	C₁₃×#548	C₂²	1	2	yes	—
34	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#546	—	2	2	no	—
37	C₁₃×#546	C₂²	1	2	yes	complemented
38	C₁₃×#546	C₂²	1	2	yes	complemented
39	D₄²×C₁₃	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#542	C₂²	1	2	yes	complemented
42	C₁₃×#539	—	2	2	no	—
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#538	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	complemented
46	C₁₃×#534	—	2	1	no	—
47	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#532	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
51	C₁₃×#525	—	2	1	no	—
52	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
53	C₁₃×#520	C₂²	1	2	yes	complemented
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#497	C₂²	1	2	yes	complemented
56	C₁₃×#496	C₂²	1	2	yes	—
57	C₁₃×#495	C₂²	1	2	yes	complemented
58	C₁₃×#489	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#486	C₂²	1	2	yes	complemented
61	C₁₃×#483	C₂²	1	2	yes	complemented
62	C₁₃×#481	C₂²	1	2	yes	complemented
63	C₁₃×#481	C₂²	1	2	yes	complemented
64	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#476	C₂²	1	2	yes	complemented
66	C₁₃×#476	C₂²	1	2	yes	complemented
67	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#475	C₂²	1	2	yes	complemented
69	C₁₃×#475	C₂²	1	2	yes	complemented
70	C₁₃×#470	C₂²	1	2	yes	complemented
71	C₁₃×#469	C₂²	1	2	yes	—
72	C₁₃×#465	C₂²	1	2	yes	complemented
73	C₁₃×#465	C₂²	1	2	yes	complemented
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×#463	C₂²	1	2	yes	complemented
81	C₁₃×#463	C₂²	1	2	yes	complemented
82	C₁₃×#463	C₂²	1	2	yes	complemented
83	C₁₃×#463	C₂²	1	2	yes	complemented
84	C₁₃×#463	C₂²	1	2	yes	complemented
85	C₁₃×#463	C₂²	1	2	yes	complemented
86	C₁₃×#461	C₂²	1	2	yes	complemented
87	C₁₃×#460	C₂²	1	2	yes	complemented
88	C₁₃×#460	C₂²	1	2	yes	complemented
89	C₁₃×#459	C₂²	1	2	yes	—
90	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#459	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×#450	C₂²	1	2	yes	—
96	C₁₃×#450	C₂²	1	2	yes	complemented
97	C₁₃×#449	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#442	C₂²	1	2	yes	complemented
105	C₁₃×#441	C₂²	1	2	yes	complemented
106	C₄×C₁₃×SD₁₆	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×#417	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	1	no	—
121	C₂×C₁₃×#41	C₂³	1	2	yes	—
122	C₂×C₁₃×#41	C₂³	1	2	yes	—
123	C₂²×Q₈×C₁₃	—	2	1	no	—
124	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃	—	2	2	no	—
126	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃	—	2	1	no	—
130	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
131	C₁₃×#135	—	4	4	no	—
132	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
133	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
134	C₂×C₁₃×SD₁₆	—	4	2	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×D₈	—	4	2	no	—
142	C₂×C₁₃×D₈	C₂³	1	2	yes	—
143	C₂×C₁₃×D₈	C₂³	1	2	yes	—
144	C₂×C₁₃×D₈	C₂³	1	2	yes	—
145	C₂×C₁₃×D₈	C₂³	1	2	yes	—
146	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
147	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
149	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
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	D₄	1	2	yes	—
160	C₁₃×#125	—	2	2	no	—
161	C₁₃×#125	—	2	1	no	—
162	C₁₃×#125	D₄	1	1	yes	characteristic
163	C₁₃×#124	—	2	2	no	—
164	C₁₃×#124	—	2	2	no	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	—	2	2	no	—
167	C₁₃×#124	—	2	1	no	—
168	C₁₃×#124	—	2	1	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	D₄	1	1	yes	characteristic
171	C₁₃×#124	C₂³	1	2	yes	—
172	C₁₃×#124	C₂³	1	2	yes	—
173	C₁₃×#124	C₂³	1	2	yes	—
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	D₄	1	2	yes	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
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×#121	—	2	1	no	—
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	—	2	2	no	—
206	C₁₃×#121	D₄	1	1	yes	characteristic
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₁₃×#120	—	2	2	no	—
215	C₁₃×#120	—	2	2	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₁₃	—	2	2	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₁₃×#117	—	2	1	no	—
239	C₁₃×#117	—	2	2	no	—
240	C₁₃×#117	—	2	1	no	—
241	C₁₃×#117	C₂³	1	2	yes	—
242	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
243	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
246	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
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×C₁₃×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#106	C₂³	1	2	yes	—
253	C₁₃×#106	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×#102	C₂³	1	2	yes	—
269	C₁₃×#102	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	#62018	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂⁴×C₁₃	—	2	1	no	—
286	C₂⁴×C₁₃	—	2	1	no	—
287	C₂⁴×C₁₃	—	2	2	no	—
288	C₁₃×#41	—	2	4	no	—
289	C₁₃×#41	—	4	2	no	—
290	C₁₃×#41	—	4	2	no	—
291	C₁₃×#41	—	4	2	no	—
292	C₁₃×#41	—	8	2	no	—
293	C₁₃×#41	—	8	2	no	—
294	C₂×Q₈×C₁₃	—	2	1	no	—
295	C₂×Q₈×C₁₃	—	2	2	no	—
296	C₂×Q₈×C₁₃	—	2	1	no	—
297	C₂×Q₈×C₁₃	—	2	1	no	—
298	C₂×Q₈×C₁₃	—	4	1	no	—
299	C₂×Q₈×C₁₃	—	4	1	no	—
300	C₂×Q₈×C₁₃	—	8	2	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×D₄×C₁₃	—	2	2	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
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	2	no	—
312	C₂×D₄×C₁₃	—	2	1	no	—
313	C₂×D₄×C₁₃	—	2	1	no	—
314	C₂×D₄×C₁₃	—	2	1	no	—
315	C₂×D₄×C₁₃	—	2	2	no	—
316	C₂×D₄×C₁₃	—	2	2	no	—
317	C₂×D₄×C₁₃	—	4	1	no	—
318	C₂×D₄×C₁₃	—	4	1	no	—
319	C₂×D₄×C₁₃	—	4	2	no	—
320	C₂×D₄×C₁₃	—	4	1	no	—
321	C₂×D₄×C₁₃	—	4	2	no	—
322	C₂×D₄×C₁₃	—	8	4	no	—
323	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
324	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
326	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
327	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃	—	2	1	no	—
330	C₂²×C₄×C₁₃	—	2	1	no	—
331	C₂²×C₄×C₁₃	—	2	2	no	—
332	C₂²×C₄×C₁₃	—	2	2	no	—
333	C₂²×C₄×C₁₃	—	2	1	no	—
334	C₂²×C₄×C₁₃	—	2	1	no	—
335	C₂²×C₄×C₁₃	—	2	2	no	—
336	C₂²×C₄×C₁₃	—	2	2	no	—
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	—	2	1	no	—
341	C₂²×C₄×C₁₃	—	8	2	no	—
342	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
346	C₁₃×Q₁₆	—	4	2	no	—
347	C₁₃×Q₁₆	—	4	2	no	—
348	C₁₃×SD₁₆	—	2	4	no	—
349	C₁₃×SD₁₆	—	4	2	no	—
350	C₁₃×SD₁₆	—	4	2	no	—
351	C₁₃×SD₁₆	—	4	2	no	—
352	C₁₃×SD₁₆	—	4	2	no	—
353	C₁₃×SD₁₆	—	4	2	no	—
354	C₁₃×D₈	—	2	4	no	—
355	C₁₃×D₈	—	2	4	no	—
356	C₁₃×D₈	—	4	2	no	—
357	C₁₃×D₈	—	4	2	no	—
358	C₁₃×M₁₆	—	4	2	no	—
359	C₂×C₈×C₁₃	—	4	1	no	—
360	C₂×C₈×C₁₃	—	4	1	no	—
361	C₂×C₈×C₁₃	—	4	2	no	—
362	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
363	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
365	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	2	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	1	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	1	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	1	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
380	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
381	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
382	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
385	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
386	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
387	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
388	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	no	—
394	C₁₃×C₂²⋊C₄	—	2	1	no	—
395	C₁₃×C₂²⋊C₄	—	2	1	no	—
396	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	2	no	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	2	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
415	C₄²×C₁₃	—	2	2	no	—
416	C₄²×C₁₃	—	2	2	no	—
417	C₄²×C₁₃	—	2	2	no	—
418	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
419	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
420	C₄²×C₁₃	C₂⁴	1	2	yes	—
421	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
423	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#3401	C₂×C₁₃	1	2	yes	complemented
426	#3373	C₂×C₁₃	1	2	yes	complemented
427	#3316	C₂×C₁₃	1	2	yes	complemented
428	#3306	C₂×C₁₃	1	2	yes	complemented
429	#3295	C₂×C₁₃	1	2	yes	complemented
430	#3282	C₂×C₁₃	1	2	yes	complemented
431	#3267	C₂×C₁₃	1	2	yes	complemented
432	#3264	C₂×C₁₃	1	2	yes	complemented
433	#3263	C₂×C₁₃	1	2	yes	complemented
434	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#3224	C₂×C₁₃	1	2	yes	complemented
436	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
437	#3125	C₂×C₁₃	1	2	yes	complemented
438	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
439	#3045	C₂×C₁₃	1	2	yes	complemented
440	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
442	C₂³×C₁₃	—	2	1	no	—
443	C₂³×C₁₃	—	2	1	no	—
444	C₂³×C₁₃	—	2	2	no	—
445	C₂³×C₁₃	—	2	2	no	—
446	C₂³×C₁₃	—	4	2	no	—
447	C₂³×C₁₃	—	4	2	no	—
448	C₂³×C₁₃	—	4	2	no	—
449	C₂³×C₁₃	—	8	1	no	—
450	C₂³×C₁₃	—	8	1	no	—
451	C₂³×C₁₃	—	8	2	no	—
452	C₂³×C₁₃	—	8	2	no	—
453	C₂³×C₁₃	—	8	1	no	—
454	C₂³×C₁₃	—	8	2	no	—
455	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
456	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
457	Q₈×C₁₃	—	2	2	no	—
458	Q₈×C₁₃	—	2	2	no	—
459	Q₈×C₁₃	—	2	2	no	—
460	Q₈×C₁₃	—	2	2	no	—
461	Q₈×C₁₃	—	4	1	no	—
462	Q₈×C₁₃	—	4	2	no	—
463	Q₈×C₁₃	—	8	1	no	—
464	Q₈×C₁₃	—	8	2	no	—
465	Q₈×C₁₃	—	8	1	no	—
466	D₄×C₁₃	—	2	4	no	—
467	D₄×C₁₃	—	2	2	no	—
468	D₄×C₁₃	—	2	2	no	—
469	D₄×C₁₃	—	2	1	no	—
470	D₄×C₁₃	—	2	1	no	—
471	D₄×C₁₃	—	2	1	no	—
472	D₄×C₁₃	—	2	2	no	—
473	D₄×C₁₃	—	2	2	no	—
474	D₄×C₁₃	—	4	1	no	—
475	D₄×C₁₃	—	4	2	no	—
476	D₄×C₁₃	—	4	4	no	—
477	D₄×C₁₃	—	4	4	no	—
478	D₄×C₁₃	—	8	1	no	—
479	D₄×C₁₃	—	8	2	no	—
480	D₄×C₁₃	—	8	2	no	—
481	D₄×C₁₃	—	8	1	no	—
482	D₄×C₁₃	—	8	2	no	—
483	D₄×C₁₃	—	8	1	no	—
484	D₄×C₁₃	—	8	2	no	—
485	D₄×C₁₃	—	8	2	no	—
486	D₄×C₁₃	—	8	2	no	—
487	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	4	1	no	—
500	C₂×C₄×C₁₃	—	4	4	no	—
501	C₂×C₄×C₁₃	—	4	2	no	—
502	C₂×C₄×C₁₃	—	4	2	no	—
503	C₂×C₄×C₁₃	—	8	1	no	—
504	C₂×C₄×C₁₃	—	8	1	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	8	2	no	—
508	C₂×C₄×C₁₃	—	8	2	no	—
509	C₂×C₄×C₁₃	—	8	1	no	—
510	C₂×C₄×C₁₃	—	8	1	no	—
511	C₂×C₄×C₁₃	—	8	2	no	—
512	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
514	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
521	C₈×C₁₃	—	2	2	no	—
522	C₈×C₁₃	—	2	2	no	—
523	C₈×C₁₃	—	2	2	no	—
524	C₈×C₁₃	—	2	2	no	—
525	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
526	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
527	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
528	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
529	#562	—	2	1	no	—
530	H(3,𝔽₄)	—	2	1	no	—
531	#559	C₂²×C₁₃	1	2	yes	complemented
532	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
533	#554	C₂²×C₁₃	1	2	yes	complemented
534	#552	—	2	1	no	—
535	#551	—	2	2	no	—
536	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#548	—	2	1	no	—
538	#548	C₂²×C₁₃	1	2	yes	—
539	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
540	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
541	#546	—	2	2	no	—
542	#546	C₂²×C₁₃	1	2	yes	complemented
543	#546	C₂²×C₁₃	1	2	yes	complemented
544	D₄²	C₂²×C₁₃	1	2	yes	—
545	#542	C₂²×C₁₃	1	2	yes	complemented
546	#542	C₂²×C₁₃	1	2	yes	complemented
547	#539	—	2	2	no	—
548	#538	—	2	2	no	—
549	#538	—	2	1	no	—
550	#535	C₂²×C₁₃	1	2	yes	complemented
551	#534	—	2	1	no	—
552	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	#532	C₂²×C₁₃	1	1	yes	characteristic
554	#529	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
556	#525	—	2	1	no	—
557	C₂×C₂²⋊Q₈	—	2	1	no	—
558	#520	C₂²×C₁₃	1	2	yes	complemented
559	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	#497	C₂²×C₁₃	1	2	yes	complemented
561	#496	C₂²×C₁₃	1	2	yes	—
562	#495	C₂²×C₁₃	1	2	yes	complemented
563	#489	C₂²×C₁₃	1	2	yes	complemented
564	#489	C₂²×C₁₃	1	2	yes	complemented
565	#486	C₂²×C₁₃	1	2	yes	complemented
566	#483	C₂²×C₁₃	1	2	yes	complemented
567	#481	C₂²×C₁₃	1	2	yes	complemented
568	#481	C₂²×C₁₃	1	2	yes	complemented
569	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
571	#476	C₂²×C₁₃	1	2	yes	complemented
572	#476	C₂²×C₁₃	1	2	yes	complemented
573	#475	C₂²×C₁₃	1	2	yes	complemented
574	#475	C₂²×C₁₃	1	2	yes	complemented
575	#470	C₂²×C₁₃	1	2	yes	complemented
576	#469	C₂²×C₁₃	1	2	yes	—
577	#465	C₂²×C₁₃	1	2	yes	complemented
578	#465	C₂²×C₁₃	1	2	yes	complemented
579	#465	C₂²×C₁₃	1	2	yes	complemented
580	#465	C₂²×C₁₃	1	2	yes	complemented
581	#464	C₂²×C₁₃	1	2	yes	complemented
582	#464	C₂²×C₁₃	1	2	yes	complemented
583	#464	C₂²×C₁₃	1	2	yes	complemented
584	#464	C₂²×C₁₃	1	2	yes	complemented
585	#463	C₂²×C₁₃	1	2	yes	complemented
586	#463	C₂²×C₁₃	1	2	yes	complemented
587	#463	C₂²×C₁₃	1	2	yes	complemented
588	#463	C₂²×C₁₃	1	2	yes	complemented
589	#463	C₂²×C₁₃	1	2	yes	complemented
590	#463	C₂²×C₁₃	1	2	yes	complemented
591	#461	C₂²×C₁₃	1	2	yes	complemented
592	#460	C₂²×C₁₃	1	2	yes	complemented
593	#460	C₂²×C₁₃	1	2	yes	complemented
594	#459	C₂²×C₁₃	1	2	yes	—
595	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#452	C₂²×C₁₃	1	2	yes	complemented
598	#452	C₂²×C₁₃	1	2	yes	complemented
599	#451	C₂²×C₁₃	1	2	yes	complemented
600	#450	C₂²×C₁₃	1	2	yes	—
601	#450	C₂²×C₁₃	1	2	yes	complemented
602	#449	C₂²×C₁₃	1	2	yes	—
603	#449	C₂²×C₁₃	1	2	yes	complemented
604	#447	C₂²×C₁₃	1	2	yes	complemented
605	#447	C₂²×C₁₃	1	2	yes	complemented
606	#446	C₂²×C₁₃	1	2	yes	complemented
607	#442	C₂²×C₁₃	1	2	yes	complemented
608	#442	C₂²×C₁₃	1	2	yes	complemented
609	#442	C₂²×C₁₃	1	2	yes	complemented
610	#441	C₂²×C₁₃	1	2	yes	complemented
611	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
612	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
613	#435	C₂²×C₁₃	1	2	yes	complemented
614	#435	C₂²×C₁₃	1	2	yes	complemented
615	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
616	#433	C₂²×C₁₃	1	2	yes	complemented
617	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#424	C₂²×C₁₃	1	2	yes	complemented
619	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#417	C₂²×C₁₃	1	2	yes	complemented
621	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
623	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
624	C₂²×C₁₃	—	2	1	no	—
625	C₂²×C₁₃	—	2	1	no	—
626	C₂²×C₁₃	—	2	2	no	—
627	C₂²×C₁₃	—	2	2	no	—
628	C₂²×C₁₃	—	2	2	no	—
629	C₂²×C₁₃	—	2	2	no	—
630	C₂²×C₁₃	—	4	1	no	—
631	C₂²×C₁₃	—	4	1	no	—
632	C₂²×C₁₃	—	4	1	no	—
633	C₂²×C₁₃	—	4	2	no	—
634	C₂²×C₁₃	—	4	2	no	—
635	C₂²×C₁₃	—	4	2	no	—
636	C₂²×C₁₃	—	4	1	no	—
637	C₂²×C₁₃	—	4	2	no	—
638	C₂²×C₁₃	—	4	2	no	—
639	C₂²×C₁₃	—	4	2	no	—
640	C₂²×C₁₃	—	4	1	no	—
641	C₂²×C₁₃	—	8	4	no	—
642	C₂²×C₁₃	—	16	2	no	—
643	C₂²×C₁₃	—	16	4	no	—
644	C₂²×C₁₃	#577	1	2	yes	—
645	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
646	C₄×C₁₃	—	2	1	no	—
647	C₄×C₁₃	—	2	1	no	—
648	C₄×C₁₃	—	2	2	no	—
649	C₄×C₁₃	—	2	2	no	—
650	C₄×C₁₃	—	2	1	no	—
651	C₄×C₁₃	—	2	1	no	—
652	C₄×C₁₃	—	2	1	no	—
653	C₄×C₁₃	—	2	2	no	—
654	C₄×C₁₃	—	4	1	no	—
655	C₄×C₁₃	—	4	1	no	—
656	C₄×C₁₃	—	4	2	no	—
657	C₄×C₁₃	—	4	2	no	—
658	C₄×C₁₃	—	4	2	no	—
659	C₄×C₁₃	—	4	2	no	—
660	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
661	C₄×C₁₃	#585	1	1	yes	characteristic
662	C₂×#41	—	2	1	no	—
663	C₂×#41	—	2	1	no	—
664	C₂×#41	C₂³×C₁₃	1	2	yes	—
665	C₂×#41	C₂³×C₁₃	1	2	yes	—
666	C₂²×Q₈	—	2	1	no	—
667	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
668	C₂²×D₄	—	2	2	no	—
669	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
670	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
672	C₂³×C₄	—	2	1	no	—
673	AGL(1,ℤ/8)	—	4	4	no	—
674	#135	—	4	4	no	—
675	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
676	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
677	C₂×SD₁₆	—	4	2	no	—
678	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
679	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
680	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
681	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
682	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
683	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
684	C₂×D₈	—	4	2	no	—
685	C₂×D₈	C₂³×C₁₃	1	2	yes	—
686	C₂×D₈	C₂³×C₁₃	1	2	yes	—
687	C₂×D₈	C₂³×C₁₃	1	2	yes	—
688	C₂×D₈	C₂³×C₁₃	1	2	yes	—
689	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
690	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
691	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
692	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
693	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
696	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
697	#127	C₂³×C₁₃	1	1	yes	characteristic
698	#127	C₂³×C₁₃	1	2	yes	—
699	#126	—	2	2	no	—
700	#126	—	2	2	no	—
701	#126	—	2	2	no	—
702	#126	D₄×C₁₃	1	2	yes	—
703	#125	—	2	2	no	—
704	#125	—	2	1	no	—
705	#125	D₄×C₁₃	1	1	yes	characteristic
706	#124	—	2	2	no	—
707	#124	—	2	2	no	—
708	#124	—	2	2	no	—
709	#124	—	2	2	no	—
710	#124	—	2	1	no	—
711	#124	—	2	1	no	—
712	#124	—	2	1	no	—
713	#124	D₄×C₁₃	1	1	yes	characteristic
714	#124	C₂³×C₁₃	1	2	yes	—
715	#124	C₂³×C₁₃	1	2	yes	—
716	#124	C₂³×C₁₃	1	2	yes	—
717	#124	C₂³×C₁₃	1	2	yes	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	D₄×C₁₃	1	2	yes	—
727	C₂²⋊Q₈	—	2	1	no	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	1	no	—
731	C₂²⋊Q₈	—	2	1	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
738	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
739	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
740	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
741	#121	—	2	1	no	—
742	#121	—	2	2	no	—
743	#121	—	2	1	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	2	no	—
748	#121	—	2	2	no	—
749	#121	D₄×C₁₃	1	1	yes	characteristic
750	#121	C₂³×C₁₃	1	2	yes	—
751	#121	C₂³×C₁₃	1	2	yes	—
752	#121	C₂³×C₁₃	1	2	yes	—
753	#120	—	2	2	no	—
754	#120	—	2	2	no	—
755	#120	—	2	2	no	—
756	#120	—	2	2	no	—
757	#120	—	2	2	no	—
758	#120	—	2	2	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
761	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
762	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
763	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	2	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	1	no	—
770	C₄×D₄	—	2	1	no	—
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×D₄	C₂³×C₁₃	1	2	yes	—
777	C₄×D₄	C₂³×C₁₃	1	2	yes	—
778	C₄×D₄	C₂³×C₁₃	1	2	yes	—
779	C₄×D₄	C₂³×C₁₃	1	2	yes	—
780	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
781	#117	—	2	1	no	—
782	#117	—	2	2	no	—
783	#117	—	2	1	no	—
784	#117	C₂³×C₁₃	1	2	yes	—
785	C₂×C₄⋊C₄	—	2	2	no	—
786	C₂×C₄⋊C₄	—	2	1	no	—
787	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
789	C₂×C₂²⋊C₄	—	2	1	no	—
790	C₂×C₂²⋊C₄	—	2	1	no	—
791	C₂×C₂²⋊C₄	—	2	1	no	—
792	C₂×C₂²⋊C₄	—	2	2	no	—
793	C₂×C₂²⋊C₄	—	2	2	no	—
794	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
795	#106	C₂³×C₁₃	1	2	yes	—
796	#106	C₂³×C₁₃	1	2	yes	—
797	#106	C₂³×C₁₃	1	2	yes	—
798	#106	C₂³×C₁₃	1	2	yes	—
799	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
800	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
801	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
803	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
804	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
805	#103	C₂³×C₁₃	1	2	yes	—
806	#103	C₂³×C₁₃	1	2	yes	—
807	#103	C₂³×C₁₃	1	2	yes	—
808	#103	C₂³×C₁₃	1	2	yes	—
809	#103	C₂³×C₁₃	1	2	yes	—
810	#103	C₂³×C₁₃	1	2	yes	—
811	#102	C₂³×C₁₃	1	2	yes	—
812	#102	C₂³×C₁₃	1	2	yes	—
813	#102	C₂³×C₁₃	1	2	yes	—
814	#102	C₂³×C₁₃	1	2	yes	—
815	#102	C₂³×C₁₃	1	2	yes	—
816	#102	C₂³×C₁₃	1	2	yes	—
817	#102	C₂³×C₁₃	1	2	yes	—
818	#102	C₂³×C₁₃	1	2	yes	—
819	#102	C₂³×C₁₃	1	2	yes	—
820	#102	C₂³×C₁₃	1	2	yes	—
821	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
822	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
823	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
824	#97	C₂³×C₁₃	1	2	yes	—
825	#97	C₂³×C₁₃	1	2	yes	—
826	C₄×C₈	C₂³×C₁₃	1	2	yes	—
827	C₂×C₁₃	—	2	2	no	—
828	C₂×C₁₃	—	4	2	no	—
829	C₂×C₁₃	—	4	2	no	—
830	C₂×C₁₃	—	8	1	no	—
831	C₂×C₁₃	—	8	2	no	—
832	C₂×C₁₃	—	8	2	no	—
833	C₂×C₁₃	#3488	1	1	yes	characteristic
834	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
835	C₂×C₁₃	#3585	1	1	yes	characteristic
836	C₂⁴	—	2	1	no	—
837	C₂⁴	—	2	1	no	—
838	C₂⁴	—	2	2	no	—
839	#41	—	2	4	no	—
840	#41	—	4	2	no	—
841	#41	—	4	2	no	—
842	#41	—	4	2	no	—
843	#41	—	8	2	no	—
844	#41	—	8	2	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	2	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	2	1	no	—
849	C₂×Q₈	—	4	1	no	—
850	C₂×Q₈	—	4	1	no	—
851	C₂×Q₈	—	8	2	no	—
852	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
853	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
854	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	1	no	—
864	C₂×D₄	—	2	1	no	—
865	C₂×D₄	—	2	1	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	4	1	no	—
869	C₂×D₄	—	4	1	no	—
870	C₂×D₄	—	4	2	no	—
871	C₂×D₄	—	4	1	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	8	4	no	—
874	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
875	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
876	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
877	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
878	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
879	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	8	2	no	—
893	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
894	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
897	Q₁₆	—	4	2	no	—
898	Q₁₆	—	4	2	no	—
899	SD₁₆	—	2	4	no	—
900	SD₁₆	—	4	2	no	—
901	SD₁₆	—	4	2	no	—
902	SD₁₆	—	4	2	no	—
903	SD₁₆	—	4	2	no	—
904	SD₁₆	—	4	2	no	—
905	D₈	—	2	4	no	—
906	D₈	—	2	4	no	—
907	D₈	—	4	2	no	—
908	D₈	—	4	2	no	—
909	M₁₆	—	4	2	no	—
910	C₂×C₈	—	4	1	no	—
911	C₂×C₈	—	4	1	no	—
912	C₂×C₈	—	4	2	no	—
913	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
914	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
915	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
916	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
931	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
933	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
935	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
936	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
939	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	1	no	—
945	C₂²⋊C₄	—	2	1	no	—
946	C₂²⋊C₄	—	2	1	no	—
947	C₂²⋊C₄	—	2	1	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
964	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
965	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
966	C₄²	—	2	2	no	—
967	C₄²	—	2	2	no	—
968	C₄²	—	2	2	no	—
969	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
970	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
971	C₄²	C₂⁴×C₁₃	1	2	yes	—
972	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₁₃	#62018	1	1	yes	characteristic, direct product factor, Sylow
975	C₂³	—	2	1	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	4	2	no	—
980	C₂³	—	4	2	no	—
981	C₂³	—	4	2	no	—
982	C₂³	—	8	1	no	—
983	C₂³	—	8	1	no	—
984	C₂³	—	8	2	no	—
985	C₂³	—	8	2	no	—
986	C₂³	—	8	1	no	—
987	C₂³	—	8	2	no	—
988	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
989	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
990	Q₈	—	2	2	no	—
991	Q₈	—	2	2	no	—
992	Q₈	—	2	2	no	—
993	Q₈	—	2	2	no	—
994	Q₈	—	4	1	no	—
995	Q₈	—	4	2	no	—
996	Q₈	—	8	1	no	—
997	Q₈	—	8	2	no	—
998	Q₈	—	8	1	no	—
999	D₄	—	2	4	no	—
1000	D₄	—	2	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	1	no	—
1003	D₄	—	2	1	no	—
1004	D₄	—	2	1	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	2	no	—
1007	D₄	—	4	1	no	—
1008	D₄	—	4	2	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	4	4	no	—
1011	D₄	—	8	2	no	—
1012	D₄	—	8	1	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	1	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	1	no	—
1017	D₄	—	8	2	no	—
1018	D₄	—	8	2	no	—
1019	D₄	—	8	2	no	—
1020	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	2	no	—
1035	C₂×C₄	—	4	2	no	—
1036	C₂×C₄	—	8	1	no	—
1037	C₂×C₄	—	8	1	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	1	no	—
1043	C₂×C₄	—	8	1	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1046	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1047	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1048	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1051	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1053	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1054	C₈	—	2	2	no	—
1055	C₈	—	2	2	no	—
1056	C₈	—	2	2	no	—
1057	C₈	—	2	2	no	—
1058	C₂²	—	2	1	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	8	4	no	—
1076	C₂²	—	16	2	no	—
1077	C₂²	—	16	4	no	—
1078	C₂²	C₁₃×#577	1	2	yes	—
1079	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1080	C₄	—	2	1	no	—
1081	C₄	—	2	1	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	1	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	4	2	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1095	C₄	C₁₃×#585	1	1	yes	characteristic
1096	C₂	—	2	2	no	—
1097	C₂	—	4	2	no	—
1098	C₂	—	4	2	no	—
1099	C₂	—	8	1	no	—
1100	C₂	—	8	2	no	—
1101	C₂	—	8	2	no	—
1102	C₂	C₁₃×#3488	1	1	yes	characteristic
1103	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1104	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	semidirect
2. C₁₃×#3520	C₂	semidirect
3. C₁₃×#3401	C₂	semidirect
4. C₁₃×#3373	C₂	semidirect
5. C₁₃×#3316	C₂	semidirect
6. C₁₃×#3306	C₂	semidirect
7. C₁₃×#3295	C₂	semidirect
8. C₁₃×#3282	C₂	semidirect
9. C₁₃×#3267	C₂	semidirect
10. C₁₃×#3264	C₂	semidirect
11. C₁₃×#3263	C₂	semidirect
12. C₁₃×#3246	C₂	semidirect
13. C₁₃×#3224	C₂	semidirect
14. C₁₃×#3215	C₂	semidirect
15. C₁₃×#3125	C₂	semidirect
16. C₁₃×#3109	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₂×C₁₃×#463	C₂	semidirect
19. C₁₃×#2992	C₂	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₃×#135	C₂²	semidirect
22. C₂²×C₁₃×SD₁₆	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
31. D₄×Q₈×C₁₃	C₂²	semidirect
34. C₁₃×#547	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
38. C₁₃×#546	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
41. C₁₃×#542	C₂²	semidirect
45. C₁₃×#535	C₂²	semidirect
47. C₁₃×#533	C₂²	semidirect
53. C₁₃×#520	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃	C₂²	semidirect
55. C₁₃×#497	C₂²	semidirect
57. C₁₃×#495	C₂²	semidirect
58. C₁₃×#489	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#486	C₂²	semidirect
61. C₁₃×#483	C₂²	semidirect
62. C₁₃×#481	C₂²	semidirect
63. C₁₃×#481	C₂²	semidirect
64. C₁₃×#476	C₂²	semidirect
65. C₁₃×#476	C₂²	semidirect
66. C₁₃×#476	C₂²	semidirect
67. C₁₃×#476	C₂²	semidirect
68. C₁₃×#475	C₂²	semidirect
69. C₁₃×#475	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
72. C₁₃×#465	C₂²	semidirect
73. C₁₃×#465	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×#463	C₂²	semidirect
81. C₁₃×#463	C₂²	semidirect
82. C₁₃×#463	C₂²	semidirect
83. C₁₃×#463	C₂²	semidirect
84. C₁₃×#463	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#461	C₂²	semidirect
87. C₁₃×#460	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#451	C₂²	semidirect
96. C₁₃×#450	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
99. C₁₃×#447	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
105. C₁₃×#441	C₂²	semidirect
106. C₄×C₁₃×SD₁₆	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×#417	C₂²	semidirect
116. C₂×C₁₃×#103	C₂²	semidirect
118. C₂×C₁₃×#102	C₂²	semidirect
284. #62018	C₁₃	direct (N × H)
423. #3558	C₂×C₁₃	semidirect
424. #3520	C₂×C₁₃	semidirect
425. #3401	C₂×C₁₃	semidirect
426. #3373	C₂×C₁₃	semidirect
427. #3316	C₂×C₁₃	semidirect
428. #3306	C₂×C₁₃	semidirect
429. #3295	C₂×C₁₃	semidirect
430. #3282	C₂×C₁₃	semidirect
431. #3267	C₂×C₁₃	semidirect
432. #3264	C₂×C₁₃	semidirect
433. #3263	C₂×C₁₃	semidirect
434. #3246	C₂×C₁₃	semidirect
435. #3224	C₂×C₁₃	semidirect
436. #3215	C₂×C₁₃	semidirect
437. #3125	C₂×C₁₃	semidirect
438. #3109	C₂×C₁₃	semidirect
439. #3045	C₂×C₁₃	semidirect
440. C₂×#463	C₂×C₁₃	semidirect
441. #2992	C₂×C₁₃	semidirect
525. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
526. C₂×#135	C₂²×C₁₃	semidirect
527. C₂²×SD₁₆	C₂²×C₁₃	semidirect
531. #559	C₂²×C₁₃	semidirect
532. #556	C₂²×C₁₃	semidirect
533. #554	C₂²×C₁₃	semidirect
536. D₄×Q₈	C₂²×C₁₃	semidirect
539. #547	C₂²×C₁₃	semidirect
540. #547	C₂²×C₁₃	semidirect
542. #546	C₂²×C₁₃	semidirect
543. #546	C₂²×C₁₃	semidirect
545. #542	C₂²×C₁₃	semidirect
546. #542	C₂²×C₁₃	semidirect
550. #535	C₂²×C₁₃	semidirect
552. #533	C₂²×C₁₃	semidirect
558. #520	C₂²×C₁₃	semidirect
559. C₂×C₄×D₄	C₂²×C₁₃	semidirect
560. #497	C₂²×C₁₃	semidirect
562. #495	C₂²×C₁₃	semidirect
563. #489	C₂²×C₁₃	semidirect
564. #489	C₂²×C₁₃	semidirect
565. #486	C₂²×C₁₃	semidirect
566. #483	C₂²×C₁₃	semidirect
567. #481	C₂²×C₁₃	semidirect
568. #481	C₂²×C₁₃	semidirect
569. #476	C₂²×C₁₃	semidirect
570. #476	C₂²×C₁₃	semidirect
571. #476	C₂²×C₁₃	semidirect
572. #476	C₂²×C₁₃	semidirect
573. #475	C₂²×C₁₃	semidirect
574. #475	C₂²×C₁₃	semidirect
575. #470	C₂²×C₁₃	semidirect
577. #465	C₂²×C₁₃	semidirect
578. #465	C₂²×C₁₃	semidirect
579. #465	C₂²×C₁₃	semidirect
580. #465	C₂²×C₁₃	semidirect
581. #464	C₂²×C₁₃	semidirect
582. #464	C₂²×C₁₃	semidirect
583. #464	C₂²×C₁₃	semidirect
584. #464	C₂²×C₁₃	semidirect
585. #463	C₂²×C₁₃	semidirect
586. #463	C₂²×C₁₃	semidirect
587. #463	C₂²×C₁₃	semidirect
588. #463	C₂²×C₁₃	semidirect
589. #463	C₂²×C₁₃	semidirect
590. #463	C₂²×C₁₃	semidirect
591. #461	C₂²×C₁₃	semidirect
592. #460	C₂²×C₁₃	semidirect
593. #460	C₂²×C₁₃	semidirect
595. #459	C₂²×C₁₃	semidirect
596. #459	C₂²×C₁₃	semidirect
597. #452	C₂²×C₁₃	semidirect
598. #452	C₂²×C₁₃	semidirect
599. #451	C₂²×C₁₃	semidirect
601. #450	C₂²×C₁₃	semidirect
603. #449	C₂²×C₁₃	semidirect
604. #447	C₂²×C₁₃	semidirect
605. #447	C₂²×C₁₃	semidirect
606. #446	C₂²×C₁₃	semidirect
607. #442	C₂²×C₁₃	semidirect
608. #442	C₂²×C₁₃	semidirect
609. #442	C₂²×C₁₃	semidirect
610. #441	C₂²×C₁₃	semidirect
611. C₄×SD₁₆	C₂²×C₁₃	semidirect
612. C₄×SD₁₆	C₂²×C₁₃	semidirect
613. #435	C₂²×C₁₃	semidirect
614. #435	C₂²×C₁₃	semidirect
615. C₈×D₄	C₂²×C₁₃	semidirect
616. #433	C₂²×C₁₃	semidirect
617. #432	C₂²×C₁₃	semidirect
618. #424	C₂²×C₁₃	semidirect
619. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
620. #417	C₂²×C₁₃	semidirect
621. C₂×#103	C₂²×C₁₃	semidirect
623. C₂×#102	C₂²×C₁₃	semidirect
974. C₁₃	#62018	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×#3520	2
C₁₃×#3401	2
C₁₃×#3373	2
C₁₃×#3316	2
C₁₃×#3306	2
C₁₃×#3295	2
C₁₃×#3282	2
C₁₃×#3267	2
C₁₃×#3264	2
C₁₃×#3263	2
C₁₃×#3246	2
C₁₃×#3224	2
C₁₃×#3215	2
C₁₃×#3125	2
C₁₃×#3109	2
C₁₃×#3045	2
C₂×C₁₃×#463	2
C₁₃×#2992	2
#62018	13

Subgroups — C13×#62018 #15748357

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62018 #15748357