Subgroups — C₁₃×#61864 #15748203

Order 3328.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3388	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3381	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3380	C₂	1	1	yes	maximal, characteristic, complemented
8	Q₈×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3360	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3360	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3242	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3123	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3118	C₂	1	2	yes	maximal
21	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic
22	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2986	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	—	2	2	no	—
25	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#557	C₂²	1	2	yes	complemented
28	C₁₃×#556	—	2	1	no	—
29	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#556	C₂²	1	2	yes	complemented
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#554	—	2	2	no	—
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	2	yes	—
35	C₁₃×#554	C₂²	1	1	yes	characteristic
36	C₁₃×#554	C₂²	1	2	yes	—
37	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#552	—	2	1	no	—
39	D₄×Q₈×C₁₃	—	2	1	no	—
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
42	C₁₃×#544	—	2	1	no	—
43	C₁₃×#544	C₂²	1	2	yes	—
44	C₁₃×#543	—	2	2	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#541	—	2	1	no	—
47	C₁₃×#541	—	2	2	no	—
48	C₁₃×#541	C₂²	1	2	yes	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
54	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
55	C₁₃×#518	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#499	C₂²	1	2	yes	complemented
61	C₁₃×#499	C₂²	1	2	yes	complemented
62	C₁₃×#498	C₂²	1	2	yes	complemented
63	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#491	C₂²	1	2	yes	complemented
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#488	C₂²	1	2	yes	complemented
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#487	C₂²	1	2	yes	complemented
69	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#485	C₂²	1	2	yes	—
72	C₁₃×#485	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#484	C₂²	1	1	yes	characteristic
75	C₁₃×#483	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#481	C₂²	1	1	yes	characteristic
78	C₁₃×#479	C₂²	1	2	yes	complemented
79	C₁₃×#479	C₂²	1	2	yes	complemented
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	1	yes	characteristic
84	C₁₃×#478	C₂²	1	1	yes	characteristic
85	C₁₃×#478	C₂²	1	2	yes	—
86	C₁₃×#478	C₂²	1	2	yes	—
87	C₁₃×#478	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	2	yes	complemented
89	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#476	C₂²	1	1	yes	characteristic
91	C₁₃×#476	C₂²	1	1	yes	characteristic
92	C₁₃×#476	C₂²	1	2	yes	—
93	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#476	C₂²	1	2	yes	complemented
95	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#475	C₂²	1	2	yes	complemented
97	C₁₃×#475	C₂²	1	2	yes	complemented
98	C₁₃×#474	C₂²	1	2	yes	—
99	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#463	C₂²	1	1	yes	characteristic
101	C₁₃×#463	C₂²	1	2	yes	—
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#463	C₂²	1	1	yes	characteristic
104	C₁₃×#461	C₂²	1	1	yes	characteristic
105	C₁₃×#461	C₂²	1	1	yes	characteristic
106	C₁₃×#461	C₂²	1	2	yes	—
107	C₁₃×#461	C₂²	1	2	yes	—
108	C₁₃×#450	C₂²	1	2	yes	—
109	C₁₃×#450	C₂²	1	1	yes	characteristic
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#446	C₂²	1	2	yes	complemented
114	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
117	C₁₃×#442	C₂²	1	2	yes	—
118	C₁₃×#440	C₂²	1	2	yes	—
119	C₁₃×#440	C₂²	1	2	yes	—
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
122	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
123	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
124	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
128	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
129	C₄×C₁₃×D₈	C₂²	1	2	yes	—
130	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
131	C₁₃×#433	C₂²	1	2	yes	—
132	C₁₃×#433	C₂²	1	2	yes	—
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
135	C₂²×Q₈×C₁₃	—	2	1	no	—
136	C₂²×Q₈×C₁₃	—	2	1	no	—
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	—	2	1	no	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
145	C₁₃×C₄⋊Q₈	—	2	2	no	—
146	C₁₃×C₄⋊Q₈	—	2	2	no	—
147	C₁₃×C₄⋊Q₈	—	2	1	no	—
148	C₁₃×C₄⋊Q₈	—	2	2	no	—
149	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
150	C₁₃×C₄⋊Q₈	D₄	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	2	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	2	2	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#125	—	2	2	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	1	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	D₄	1	2	yes	—
175	C₁₃×#125	C₂³	1	1	yes	characteristic
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#125	C₂³	1	2	yes	—
178	C₁₃×#125	C₂³	1	2	yes	—
179	C₁₃×#125	C₂³	1	2	yes	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	C₂³	1	1	yes	characteristic
182	C₁₃×#124	C₂³	1	2	yes	—
183	C₁₃×#123	—	2	1	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	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	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	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	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
211	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	1	no	—
245	C₁₃×#117	—	2	2	no	—
246	C₁₃×#117	—	2	1	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	C₂³	1	2	yes	—
249	C₁₃×#117	C₂³	1	2	yes	—
250	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
252	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
260	C₁₃×#107	C₂³	1	2	yes	—
261	C₁₃×#107	C₂³	1	1	yes	characteristic
262	C₁₃×#107	C₂³	1	1	yes	characteristic
263	C₁₃×#107	C₂³	1	2	yes	—
264	C₁₃×#107	C₂³	1	2	yes	—
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#106	C₂³	1	2	yes	—
267	C₁₃×#106	C₂³	1	1	yes	characteristic
268	C₁₃×#106	C₂³	1	2	yes	—
269	C₁₃×#106	C₂³	1	2	yes	—
270	C₁₃×#106	C₂³	1	2	yes	—
271	C₁₃×#106	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
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×#103	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	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#61864	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₂×Q₈×C₁₃	—	2	1	no	—
315	C₂×Q₈×C₁₃	—	2	1	no	—
316	C₂×Q₈×C₁₃	—	2	1	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	2	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	8	2	no	—
321	C₂×Q₈×C₁₃	—	8	2	no	—
322	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
325	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	—	2	1	no	—
335	C₂²×C₄×C₁₃	—	2	1	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	1	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	8	2	no	—
346	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₁₃×SD₁₆	—	2	4	no	—
350	C₁₃×SD₁₆	—	2	2	no	—
351	C₁₃×SD₁₆	—	2	4	no	—
352	C₁₃×SD₁₆	—	2	2	no	—
353	C₁₃×D₈	—	2	2	no	—
354	C₁₃×D₈	—	2	2	no	—
355	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
357	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
360	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₁₃×C₄⋊C₄	—	2	2	no	—
362	C₁₃×C₄⋊C₄	—	2	1	no	—
363	C₁₃×C₄⋊C₄	—	2	1	no	—
364	C₁₃×C₄⋊C₄	—	2	2	no	—
365	C₁₃×C₄⋊C₄	—	2	2	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	1	no	—
376	C₁₃×C₄⋊C₄	—	2	1	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
390	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
391	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
392	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
393	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
394	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
395	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	—	2	2	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
424	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
432	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
433	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₄²×C₁₃	C₂⁴	1	2	yes	—
436	C₄²×C₁₃	C₂⁴	1	2	yes	—
437	#3555	C₂×C₁₃	1	1	yes	characteristic, complemented
438	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
439	#3388	C₂×C₁₃	1	2	yes	complemented
440	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
442	#3381	C₂×C₁₃	1	2	yes	complemented
443	#3380	C₂×C₁₃	1	1	yes	characteristic, complemented
444	Q₈×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
445	#3376	C₂×C₁₃	1	2	yes	complemented
446	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3360	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3360	C₂×C₁₃	1	2	yes	complemented
450	#3359	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3244	C₂×C₁₃	1	2	yes	complemented
452	#3242	C₂×C₁₃	1	2	yes	complemented
453	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3231	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3123	C₂×C₁₃	1	2	yes	complemented
456	#3118	C₂×C₁₃	1	2	yes	—
457	#3105	C₂×C₁₃	1	1	yes	characteristic
458	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#2986	C₂×C₁₃	1	1	yes	characteristic, complemented
460	C₂³×C₁₃	—	2	4	no	—
461	C₂³×C₁₃	—	2	1	no	—
462	C₂³×C₁₃	—	2	1	no	—
463	C₂³×C₁₃	—	2	1	no	—
464	C₂³×C₁₃	—	8	1	no	—
465	C₂³×C₁₃	—	8	1	no	—
466	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
467	Q₈×C₁₃	—	2	2	no	—
468	Q₈×C₁₃	—	2	2	no	—
469	Q₈×C₁₃	—	2	1	no	—
470	Q₈×C₁₃	—	2	2	no	—
471	Q₈×C₁₃	—	2	1	no	—
472	Q₈×C₁₃	—	2	2	no	—
473	Q₈×C₁₃	—	4	2	no	—
474	Q₈×C₁₃	—	4	2	no	—
475	Q₈×C₁₃	—	8	1	no	—
476	Q₈×C₁₃	—	8	1	no	—
477	Q₈×C₁₃	—	8	2	no	—
478	Q₈×C₁₃	—	8	2	no	—
479	Q₈×C₁₃	—	8	2	no	—
480	D₄×C₁₃	—	2	4	no	—
481	D₄×C₁₃	—	2	1	no	—
482	D₄×C₁₃	—	2	1	no	—
483	D₄×C₁₃	—	2	1	no	—
484	D₄×C₁₃	—	2	1	no	—
485	D₄×C₁₃	—	8	1	no	—
486	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
487	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	1	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	—	2	1	no	—
500	C₂×C₄×C₁₃	—	4	1	no	—
501	C₂×C₄×C₁₃	—	4	2	no	—
502	C₂×C₄×C₁₃	—	4	2	no	—
503	C₂×C₄×C₁₃	—	4	2	no	—
504	C₂×C₄×C₁₃	—	8	2	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	8	1	no	—
508	C₂×C₄×C₁₃	—	8	1	no	—
509	C₂×C₄×C₁₃	—	8	2	no	—
510	C₂×C₄×C₁₃	—	8	2	no	—
511	C₂×C₄×C₁₃	—	8	1	no	—
512	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₈×C₁₃	—	2	1	no	—
523	C₈×C₁₃	—	2	1	no	—
524	C₈×C₁₃	—	2	1	no	—
525	C₈×C₁₃	—	2	2	no	—
526	C₈×C₁₃	—	2	1	no	—
527	C₈×C₁₃	—	2	2	no	—
528	#563	—	2	2	no	—
529	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	#557	C₂²×C₁₃	1	2	yes	complemented
532	#556	—	2	1	no	—
533	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
534	#556	C₂²×C₁₃	1	2	yes	complemented
535	#554	—	2	1	no	—
536	#554	—	2	2	no	—
537	#554	C₂²×C₁₃	1	1	yes	characteristic
538	#554	C₂²×C₁₃	1	2	yes	—
539	#554	C₂²×C₁₃	1	1	yes	characteristic
540	#554	C₂²×C₁₃	1	2	yes	—
541	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	#552	—	2	1	no	—
543	D₄×Q₈	—	2	1	no	—
544	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
545	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
546	#544	—	2	1	no	—
547	#544	C₂²×C₁₃	1	2	yes	—
548	#543	—	2	2	no	—
549	#542	C₂²×C₁₃	1	2	yes	—
550	#541	—	2	1	no	—
551	#541	—	2	2	no	—
552	#541	C₂²×C₁₃	1	2	yes	—
553	#533	C₂²×C₁₃	1	1	yes	characteristic
554	#533	C₂²×C₁₃	1	1	yes	characteristic
555	#533	C₂²×C₁₃	1	1	yes	characteristic
556	#529	C₂²×C₁₃	1	1	yes	characteristic
557	C₂×C₂²⋊Q₈	—	2	1	no	—
558	C₂×C₂²⋊Q₈	—	2	1	no	—
559	#518	C₂²×C₁₃	1	2	yes	—
560	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
561	#501	C₂²×C₁₃	1	2	yes	complemented
562	#501	C₂²×C₁₃	1	2	yes	complemented
563	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#499	C₂²×C₁₃	1	2	yes	complemented
565	#499	C₂²×C₁₃	1	2	yes	complemented
566	#498	C₂²×C₁₃	1	2	yes	complemented
567	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#491	C₂²×C₁₃	1	2	yes	complemented
569	#489	C₂²×C₁₃	1	2	yes	complemented
570	#488	C₂²×C₁₃	1	2	yes	complemented
571	#488	C₂²×C₁₃	1	2	yes	complemented
572	#487	C₂²×C₁₃	1	2	yes	complemented
573	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#485	C₂²×C₁₃	1	2	yes	—
576	#485	C₂²×C₁₃	1	2	yes	—
577	#485	C₂²×C₁₃	1	2	yes	—
578	#484	C₂²×C₁₃	1	1	yes	characteristic
579	#483	C₂²×C₁₃	1	2	yes	—
580	#482	C₂²×C₁₃	1	2	yes	—
581	#481	C₂²×C₁₃	1	1	yes	characteristic
582	#479	C₂²×C₁₃	1	2	yes	complemented
583	#479	C₂²×C₁₃	1	2	yes	complemented
584	#479	C₂²×C₁₃	1	2	yes	complemented
585	#479	C₂²×C₁₃	1	2	yes	complemented
586	#479	C₂²×C₁₃	1	2	yes	complemented
587	#478	C₂²×C₁₃	1	1	yes	characteristic
588	#478	C₂²×C₁₃	1	1	yes	characteristic
589	#478	C₂²×C₁₃	1	2	yes	—
590	#478	C₂²×C₁₃	1	2	yes	—
591	#478	C₂²×C₁₃	1	2	yes	complemented
592	#477	C₂²×C₁₃	1	2	yes	complemented
593	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#476	C₂²×C₁₃	1	1	yes	characteristic
595	#476	C₂²×C₁₃	1	1	yes	characteristic
596	#476	C₂²×C₁₃	1	2	yes	—
597	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#476	C₂²×C₁₃	1	2	yes	complemented
599	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#475	C₂²×C₁₃	1	2	yes	complemented
601	#475	C₂²×C₁₃	1	2	yes	complemented
602	#474	C₂²×C₁₃	1	2	yes	—
603	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#463	C₂²×C₁₃	1	1	yes	characteristic
605	#463	C₂²×C₁₃	1	2	yes	—
606	#463	C₂²×C₁₃	1	2	yes	—
607	#463	C₂²×C₁₃	1	1	yes	characteristic
608	#461	C₂²×C₁₃	1	1	yes	characteristic
609	#461	C₂²×C₁₃	1	1	yes	characteristic
610	#461	C₂²×C₁₃	1	2	yes	—
611	#461	C₂²×C₁₃	1	2	yes	—
612	#450	C₂²×C₁₃	1	2	yes	—
613	#450	C₂²×C₁₃	1	1	yes	characteristic
614	#447	C₂²×C₁₃	1	1	yes	characteristic
615	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#446	C₂²×C₁₃	1	2	yes	complemented
618	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
621	#442	C₂²×C₁₃	1	2	yes	—
622	#440	C₂²×C₁₃	1	2	yes	—
623	#440	C₂²×C₁₃	1	2	yes	—
624	#440	C₂²×C₁₃	1	2	yes	—
625	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
626	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
627	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
628	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
629	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
630	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
631	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
633	C₄×D₈	C₂²×C₁₃	1	2	yes	—
634	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
635	#433	C₂²×C₁₃	1	2	yes	—
636	#433	C₂²×C₁₃	1	2	yes	—
637	#431	C₂²×C₁₃	1	1	yes	characteristic
638	#431	C₂²×C₁₃	1	1	yes	characteristic
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	1	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	2	2	no	—
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	4	1	no	—
645	C₂²×C₁₃	—	4	1	no	—
646	C₂²×C₁₃	—	4	1	no	—
647	C₂²×C₁₃	—	4	1	no	—
648	C₂²×C₁₃	—	4	1	no	—
649	C₂²×C₁₃	—	4	1	no	—
650	C₂²×C₁₃	—	4	1	no	—
651	C₂²×C₁₃	—	8	4	no	—
652	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
653	C₄×C₁₃	—	2	1	no	—
654	C₄×C₁₃	—	2	1	no	—
655	C₄×C₁₃	—	2	2	no	—
656	C₄×C₁₃	—	2	2	no	—
657	C₄×C₁₃	—	2	1	no	—
658	C₄×C₁₃	—	2	1	no	—
659	C₄×C₁₃	—	2	2	no	—
660	C₄×C₁₃	—	2	2	no	—
661	C₄×C₁₃	—	4	2	no	—
662	C₄×C₁₃	—	4	2	no	—
663	C₄×C₁₃	—	4	1	no	—
664	C₄×C₁₃	—	4	2	no	—
665	C₄×C₁₃	—	4	1	no	—
666	C₄×C₁₃	—	4	1	no	—
667	C₄×C₁₃	—	4	1	no	—
668	C₄×C₁₃	—	4	1	no	—
669	C₄×C₁₃	—	4	2	no	—
670	C₄×C₁₃	#577	1	2	yes	—
671	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
672	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
673	C₂²×Q₈	—	2	1	no	—
674	C₂²×Q₈	—	2	1	no	—
675	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
676	C₂³×C₄	—	2	1	no	—
677	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
680	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
681	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
682	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
683	C₄⋊Q₈	—	2	2	no	—
684	C₄⋊Q₈	—	2	2	no	—
685	C₄⋊Q₈	—	2	1	no	—
686	C₄⋊Q₈	—	2	2	no	—
687	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
688	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
689	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
690	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
691	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
692	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
693	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
695	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
696	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
697	#126	—	2	2	no	—
698	#126	—	2	2	no	—
699	#126	—	2	2	no	—
700	#126	—	2	2	no	—
701	#126	—	2	2	no	—
702	#126	—	2	2	no	—
703	#126	—	2	1	no	—
704	#125	—	2	2	no	—
705	#125	—	2	2	no	—
706	#125	—	2	2	no	—
707	#125	—	2	2	no	—
708	#125	—	2	2	no	—
709	#125	—	2	1	no	—
710	#125	—	2	2	no	—
711	#125	—	2	1	no	—
712	#125	D₄×C₁₃	1	2	yes	—
713	#125	C₂³×C₁₃	1	1	yes	characteristic
714	#125	C₂³×C₁₃	1	2	yes	—
715	#125	C₂³×C₁₃	1	2	yes	—
716	#125	C₂³×C₁₃	1	2	yes	—
717	#125	C₂³×C₁₃	1	2	yes	—
718	#124	—	2	2	no	—
719	#124	C₂³×C₁₃	1	1	yes	characteristic
720	#124	C₂³×C₁₃	1	2	yes	—
721	#123	—	2	1	no	—
722	#123	—	2	2	no	—
723	C₂²⋊Q₈	—	2	1	no	—
724	C₂²⋊Q₈	—	2	1	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	1	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	1	no	—
731	C₂²⋊Q₈	—	2	1	no	—
732	C₂²⋊Q₈	—	2	1	no	—
733	C₂²⋊Q₈	—	2	1	no	—
734	C₂²⋊Q₈	—	2	1	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
748	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
749	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
750	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
751	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
752	#121	C₂³×C₁₃	1	1	yes	characteristic
753	C₄×Q₈	—	2	1	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	—	2	2	no	—
756	C₄×Q₈	—	2	1	no	—
757	C₄×Q₈	—	2	1	no	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
764	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
766	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	2	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	C₄×D₄	C₂³×C₁₃	1	2	yes	—
782	#117	—	2	1	no	—
783	#117	—	2	2	no	—
784	#117	—	2	1	no	—
785	#117	—	2	1	no	—
786	#117	C₂³×C₁₃	1	2	yes	—
787	#117	C₂³×C₁₃	1	2	yes	—
788	C₂×C₄⋊C₄	—	2	2	no	—
789	C₂×C₄⋊C₄	—	2	2	no	—
790	C₂×C₄⋊C₄	—	2	1	no	—
791	C₂×C₄⋊C₄	—	2	1	no	—
792	C₂×C₄⋊C₄	—	2	1	no	—
793	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	—	2	1	no	—
795	C₂×C₂²⋊C₄	—	2	2	no	—
796	C₂×C₂²⋊C₄	—	2	2	no	—
797	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
798	#107	C₂³×C₁₃	1	2	yes	—
799	#107	C₂³×C₁₃	1	1	yes	characteristic
800	#107	C₂³×C₁₃	1	1	yes	characteristic
801	#107	C₂³×C₁₃	1	2	yes	—
802	#107	C₂³×C₁₃	1	2	yes	—
803	#107	C₂³×C₁₃	1	2	yes	—
804	#106	C₂³×C₁₃	1	2	yes	—
805	#106	C₂³×C₁₃	1	1	yes	characteristic
806	#106	C₂³×C₁₃	1	2	yes	—
807	#106	C₂³×C₁₃	1	2	yes	—
808	#106	C₂³×C₁₃	1	2	yes	—
809	#106	C₂³×C₁₃	1	2	yes	—
810	#106	C₂³×C₁₃	1	1	yes	characteristic
811	#106	C₂³×C₁₃	1	2	yes	—
812	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
813	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
814	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
816	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
817	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
818	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
819	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
820	#103	C₂³×C₁₃	1	2	yes	—
821	#103	C₂³×C₁₃	1	2	yes	—
822	#103	C₂³×C₁₃	1	2	yes	—
823	#103	C₂³×C₁₃	1	2	yes	—
824	#103	C₂³×C₁₃	1	1	yes	characteristic
825	#103	C₂³×C₁₃	1	2	yes	—
826	#103	C₂³×C₁₃	1	1	yes	characteristic
827	#103	C₂³×C₁₃	1	2	yes	—
828	#103	C₂³×C₁₃	1	2	yes	—
829	#103	C₂³×C₁₃	1	2	yes	—
830	#102	C₂³×C₁₃	1	2	yes	—
831	#102	C₂³×C₁₃	1	1	yes	characteristic
832	#102	C₂³×C₁₃	1	1	yes	characteristic
833	#102	C₂³×C₁₃	1	1	yes	characteristic
834	#102	C₂³×C₁₃	1	2	yes	—
835	#102	C₂³×C₁₃	1	1	yes	characteristic
836	#102	C₂³×C₁₃	1	1	yes	characteristic
837	#102	C₂³×C₁₃	1	1	yes	characteristic
838	#102	C₂³×C₁₃	1	2	yes	—
839	#102	C₂³×C₁₃	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
843	#97	C₂³×C₁₃	1	2	yes	—
844	#97	C₂³×C₁₃	1	2	yes	—
845	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
846	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
847	C₄×C₈	C₂³×C₁₃	1	2	yes	—
848	C₄×C₈	C₂³×C₁₃	1	2	yes	—
849	C₄×C₈	C₂³×C₁₃	1	2	yes	—
850	C₂×C₁₃	—	4	1	no	—
851	C₂×C₁₃	—	4	2	no	—
852	C₂×C₁₃	—	4	2	no	—
853	C₂×C₁₃	—	8	1	no	—
854	C₂×C₁₃	#3486	1	1	yes	characteristic
855	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
856	C₂×C₁₃	#3584	1	1	yes	characteristic
857	C₂⁴	—	2	1	no	—
858	C₂×Q₈	—	2	1	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	2	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	8	2	no	—
865	C₂×Q₈	—	8	2	no	—
866	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
867	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
868	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
869	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
870	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
876	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
877	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
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	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	8	2	no	—
890	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
893	SD₁₆	—	2	4	no	—
894	SD₁₆	—	2	2	no	—
895	SD₁₆	—	2	4	no	—
896	SD₁₆	—	2	2	no	—
897	D₈	—	2	2	no	—
898	D₈	—	2	2	no	—
899	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
901	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
904	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	1	no	—
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	1	yes	characteristic
936	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
937	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
938	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
939	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
940	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
941	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
942	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
943	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
948	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	1	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	1	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	1	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
968	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
969	C₄²	—	2	2	no	—
970	C₄²	—	2	1	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	2	no	—
973	C₄²	—	2	2	no	—
974	C₄²	—	2	2	no	—
975	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
977	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄²	C₂⁴×C₁₃	1	2	yes	—
980	C₄²	C₂⁴×C₁₃	1	2	yes	—
981	C₁₃	#61864	1	1	yes	characteristic, direct product factor, Sylow
982	C₂³	—	2	4	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	1	no	—
985	C₂³	—	2	1	no	—
986	C₂³	—	8	1	no	—
987	C₂³	—	8	1	no	—
988	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
989	Q₈	—	2	2	no	—
990	Q₈	—	2	2	no	—
991	Q₈	—	2	1	no	—
992	Q₈	—	2	2	no	—
993	Q₈	—	2	1	no	—
994	Q₈	—	2	2	no	—
995	Q₈	—	4	2	no	—
996	Q₈	—	4	2	no	—
997	Q₈	—	8	2	no	—
998	Q₈	—	8	2	no	—
999	Q₈	—	8	1	no	—
1000	Q₈	—	8	1	no	—
1001	Q₈	—	8	2	no	—
1002	D₄	—	2	4	no	—
1003	D₄	—	2	1	no	—
1004	D₄	—	2	1	no	—
1005	D₄	—	2	1	no	—
1006	D₄	—	2	1	no	—
1007	D₄	—	8	1	no	—
1008	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1009	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	4	1	no	—
1023	C₂×C₄	—	4	2	no	—
1024	C₂×C₄	—	4	2	no	—
1025	C₂×C₄	—	4	2	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	—	8	2	no	—
1029	C₂×C₄	—	8	2	no	—
1030	C₂×C₄	—	8	2	no	—
1031	C₂×C₄	—	8	2	no	—
1032	C₂×C₄	—	8	2	no	—
1033	C₂×C₄	—	8	1	no	—
1034	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1035	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1037	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1038	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1039	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1040	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1041	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1042	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1043	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1044	C₈	—	2	1	no	—
1045	C₈	—	2	1	no	—
1046	C₈	—	2	1	no	—
1047	C₈	—	2	2	no	—
1048	C₈	—	2	1	no	—
1049	C₈	—	2	2	no	—
1050	C₂²	—	2	1	no	—
1051	C₂²	—	2	1	no	—
1052	C₂²	—	2	1	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	4	1	no	—
1056	C₂²	—	4	1	no	—
1057	C₂²	—	4	1	no	—
1058	C₂²	—	4	1	no	—
1059	C₂²	—	4	1	no	—
1060	C₂²	—	4	1	no	—
1061	C₂²	—	4	1	no	—
1062	C₂²	—	8	4	no	—
1063	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1064	C₄	—	2	1	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	1	no	—
1069	C₄	—	2	2	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	2	no	—
1080	C₄	—	4	1	no	—
1081	C₄	C₁₃×#577	1	2	yes	—
1082	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1083	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1084	C₂	—	4	1	no	—
1085	C₂	—	4	2	no	—
1086	C₂	—	4	2	no	—
1087	C₂	—	8	1	no	—
1088	C₂	C₁₃×#3486	1	1	yes	characteristic
1089	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1090	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#447	C₂²
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×#3555	C₂	semidirect
2. C₁₃×#3501	C₂	semidirect
3. C₁₃×#3388	C₂	semidirect
4. C₁₃×#3385	C₂	semidirect
5. C₁₃×#3384	C₂	semidirect
6. C₁₃×#3381	C₂	semidirect
7. C₁₃×#3380	C₂	semidirect
8. Q₈×C₁₃×SD₁₆	C₂	semidirect
9. C₁₃×#3376	C₂	semidirect
10. C₁₃×#3372	C₂	semidirect
11. C₁₃×#3367	C₂	semidirect
12. C₁₃×#3360	C₂	semidirect
13. C₁₃×#3360	C₂	semidirect
14. C₁₃×#3359	C₂	semidirect
15. C₁₃×#3244	C₂	semidirect
16. C₁₃×#3242	C₂	semidirect
17. C₁₃×#3233	C₂	semidirect
18. C₁₃×#3231	C₂	semidirect
19. C₁₃×#3123	C₂	semidirect
22. C₁₃×#3101	C₂	semidirect
23. C₁₃×#2986	C₂	semidirect
25. Q₈²×C₁₃	C₂²	semidirect
26. C₁₃×#557	C₂²	semidirect
27. C₁₃×#557	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#500	C₂²	semidirect
60. C₁₃×#499	C₂²	semidirect
61. C₁₃×#499	C₂²	semidirect
62. C₁₃×#498	C₂²	semidirect
63. C₁₃×#498	C₂²	semidirect
64. C₁₃×#491	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#488	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
68. C₁₃×#487	C₂²	semidirect
69. C₁₃×#487	C₂²	semidirect
70. C₁₃×#487	C₂²	semidirect
78. C₁₃×#479	C₂²	semidirect
79. C₁₃×#479	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
93. C₁₃×#476	C₂²	semidirect
94. C₁₃×#476	C₂²	semidirect
95. C₁₃×#475	C₂²	semidirect
96. C₁₃×#475	C₂²	semidirect
97. C₁₃×#475	C₂²	semidirect
99. C₁₃×#474	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
113. C₁₃×#446	C₂²	semidirect
114. C₈×Q₈×C₁₃	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₈×Q₈×C₁₃	C₂²	semidirect
312. #61864	C₁₃	direct (N × H)
437. #3555	C₂×C₁₃	semidirect
438. #3501	C₂×C₁₃	semidirect
439. #3388	C₂×C₁₃	semidirect
440. #3385	C₂×C₁₃	semidirect
441. #3384	C₂×C₁₃	semidirect
442. #3381	C₂×C₁₃	semidirect
443. #3380	C₂×C₁₃	semidirect
444. Q₈×SD₁₆	C₂×C₁₃	semidirect
445. #3376	C₂×C₁₃	semidirect
446. #3372	C₂×C₁₃	semidirect
447. #3367	C₂×C₁₃	semidirect
448. #3360	C₂×C₁₃	semidirect
449. #3360	C₂×C₁₃	semidirect
450. #3359	C₂×C₁₃	semidirect
451. #3244	C₂×C₁₃	semidirect
452. #3242	C₂×C₁₃	semidirect
453. #3233	C₂×C₁₃	semidirect
454. #3231	C₂×C₁₃	semidirect
455. #3123	C₂×C₁₃	semidirect
458. #3101	C₂×C₁₃	semidirect
459. #2986	C₂×C₁₃	semidirect
529. Q₈²	C₂²×C₁₃	semidirect
530. #557	C₂²×C₁₃	semidirect
531. #557	C₂²×C₁₃	semidirect
533. #556	C₂²×C₁₃	semidirect
534. #556	C₂²×C₁₃	semidirect
541. #554	C₂²×C₁₃	semidirect
561. #501	C₂²×C₁₃	semidirect
562. #501	C₂²×C₁₃	semidirect
563. #500	C₂²×C₁₃	semidirect
564. #499	C₂²×C₁₃	semidirect
565. #499	C₂²×C₁₃	semidirect
566. #498	C₂²×C₁₃	semidirect
567. #498	C₂²×C₁₃	semidirect
568. #491	C₂²×C₁₃	semidirect
569. #489	C₂²×C₁₃	semidirect
570. #488	C₂²×C₁₃	semidirect
571. #488	C₂²×C₁₃	semidirect
572. #487	C₂²×C₁₃	semidirect
573. #487	C₂²×C₁₃	semidirect
574. #487	C₂²×C₁₃	semidirect
582. #479	C₂²×C₁₃	semidirect
583. #479	C₂²×C₁₃	semidirect
584. #479	C₂²×C₁₃	semidirect
585. #479	C₂²×C₁₃	semidirect
586. #479	C₂²×C₁₃	semidirect
591. #478	C₂²×C₁₃	semidirect
592. #477	C₂²×C₁₃	semidirect
593. #477	C₂²×C₁₃	semidirect
597. #476	C₂²×C₁₃	semidirect
598. #476	C₂²×C₁₃	semidirect
599. #475	C₂²×C₁₃	semidirect
600. #475	C₂²×C₁₃	semidirect
601. #475	C₂²×C₁₃	semidirect
603. #474	C₂²×C₁₃	semidirect
615. #446	C₂²×C₁₃	semidirect
616. #446	C₂²×C₁₃	semidirect
617. #446	C₂²×C₁₃	semidirect
618. C₈×Q₈	C₂²×C₁₃	semidirect
619. C₈×Q₈	C₂²×C₁₃	semidirect
620. C₈×Q₈	C₂²×C₁₃	semidirect
981. C₁₃	#61864	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×#3555	2
C₁₃×#3501	2
C₁₃×#3388	2
C₁₃×#3385	2
C₁₃×#3384	2
C₁₃×#3381	2
C₁₃×#3380	2
Q₈×C₁₃×SD₁₆	2
C₁₃×#3376	2
C₁₃×#3372	2
C₁₃×#3367	2
C₁₃×#3360	2
C₁₃×#3359	2
C₁₃×#3244	2
C₁₃×#3242	2
C₁₃×#3233	2
C₁₃×#3231	2
C₁₃×#3123	2
C₁₃×#3118	2
C₁₃×#3105	2
C₁₃×#3101	2
C₁₃×#2986	2
#61864	13

Subgroups — C13×#61864 #15748203

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61864 #15748203