Subgroups — C₁₃×#61457 #15747796

Order 3328.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic
2	Q₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3344	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3185	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3181	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3117	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3113	C₂	1	2	yes	maximal, complemented
21	C₁₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#441	C₂	1	2	yes	maximal, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	—
26	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#557	—	2	1	no	—
28	C₁₃×#557	C₂²	1	1	yes	characteristic
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#554	—	2	1	no	—
33	C₁₃×#554	—	2	2	no	—
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	C₁₃×#554	C₂²	1	2	yes	—
36	C₁₃×#552	—	2	2	no	—
37	C₁₃×#552	C₂²	1	2	yes	—
38	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	—	2	1	no	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#533	—	2	1	no	—
45	C₁₃×#533	—	2	2	no	—
46	C₁₃×#533	—	2	1	no	—
47	C₁₃×#533	C₂²	1	2	yes	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#529	—	2	2	no	—
51	C₁₃×#529	C₂²	1	2	yes	—
52	C₄×C₁₃×#41	—	2	1	no	—
53	C₄×C₁₃×#41	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
56	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
57	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
59	C₁₃×#501	C₂²	1	2	yes	—
60	C₁₃×#498	C₂²	1	1	yes	characteristic
61	C₁₃×#497	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#491	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#483	C₂²	1	2	yes	—
70	C₁₃×#483	C₂²	1	2	yes	—
71	C₁₃×#483	C₂²	1	2	yes	—
72	C₁₃×#481	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#476	C₂²	1	1	yes	characteristic
77	C₁₃×#475	C₂²	1	1	yes	characteristic
78	C₁₃×#475	C₂²	1	2	yes	—
79	C₁₃×#475	C₂²	1	1	yes	characteristic
80	C₁₃×#475	C₂²	1	2	yes	—
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#470	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#467	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	—
86	C₁₃×#465	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	2	yes	—
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	1	yes	characteristic
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#462	C₂²	1	2	yes	—
94	C₁₃×#461	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#451	C₂²	1	2	yes	—
97	C₁₃×#451	C₂²	1	2	yes	—
98	C₁₃×#451	C₂²	1	2	yes	—
99	C₁₃×#451	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₁₃×#446	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	2	yes	—
105	C₁₃×#441	C₂²	1	2	yes	—
106	C₁₃×#441	C₂²	1	2	yes	—
107	C₁₃×#441	C₂²	1	2	yes	—
108	C₁₃×#441	C₂²	1	1	yes	characteristic
109	C₁₃×#441	C₂²	1	2	yes	—
110	C₁₃×#441	C₂²	1	2	yes	—
111	C₁₃×#441	C₂²	1	2	yes	—
112	C₁₃×#441	C₂²	1	2	yes	—
113	C₁₃×#441	C₂²	1	1	yes	characteristic
114	C₁₃×#440	C₂²	1	2	yes	—
115	C₁₃×#440	C₂²	1	1	yes	characteristic
116	C₁₃×#440	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
121	C₁₃×#435	C₂²	1	2	yes	—
122	C₁₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
125	C₁₃×#432	C₂²	1	1	yes	characteristic
126	C₁₃×#432	C₂²	1	2	yes	—
127	C₁₃×#428	C₂²	1	1	yes	characteristic
128	C₂×C₁₃×#106	C₂²	1	2	yes	—
129	C₁₃×#419	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#103	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#97	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#137	—	2	4	no	—
142	C₂×C₁₃×Q₁₆	—	2	8	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	2	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	—	2	2	no	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	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	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₄×Q₈×C₁₃	—	2	1	no	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	1	no	—
210	C₄×Q₈×C₁₃	—	2	2	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	—	2	2	no	—
213	C₄×Q₈×C₁₃	—	2	2	no	—
214	C₄×Q₈×C₁₃	—	2	1	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	2	no	—
219	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
243	C₄×D₄×C₁₃	D₄	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	1	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	D₄	1	2	yes	—
256	C₁₃×#117	D₄	1	1	yes	characteristic
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
259	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₄²×C₁₃	—	2	2	no	—
265	C₂×C₄²×C₁₃	—	2	2	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	1	yes	characteristic
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₁₃×#97	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	#61457	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	4	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	4	1	no	—
318	C₁₃×#41	—	4	4	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	4	no	—
326	C₂×Q₈×C₁₃	—	2	4	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	4	2	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	—	4	1	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₁₃×Q₁₆	—	2	4	no	—
358	C₁₃×Q₁₆	—	2	4	no	—
359	C₁₃×Q₁₆	—	2	2	no	—
360	C₁₃×Q₁₆	—	2	4	no	—
361	C₁₃×Q₁₆	—	4	2	no	—
362	C₁₃×Q₁₆	—	4	2	no	—
363	C₁₃×Q₁₆	#41	1	4	yes	complemented
364	C₁₃×SD₁₆	—	2	2	no	—
365	C₁₃×SD₁₆	—	2	2	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×M₁₆	—	2	2	no	—
368	C₁₃×M₁₆	—	4	1	no	—
369	C₂×C₈×C₁₃	—	2	4	no	—
370	C₂×C₈×C₁₃	—	4	2	no	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	1	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	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	2	no	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂×D₄	1	2	yes	—
448	C₄²×C₁₃	C₂×D₄	1	2	yes	—
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	#3482	C₂×C₁₃	1	1	yes	characteristic
453	Q₈×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3387	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3344	C₂×C₁₃	1	2	yes	complemented
459	#3335	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3316	C₂×C₁₃	1	2	yes	complemented
461	#3312	C₂×C₁₃	1	2	yes	complemented
462	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
464	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3270	C₂×C₁₃	1	2	yes	complemented
466	#3185	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3181	C₂×C₁₃	1	2	yes	complemented
468	#3117	C₂×C₁₃	1	2	yes	complemented
469	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3113	C₂×C₁₃	1	2	yes	complemented
471	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2970	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
474	C₂×#441	C₂×C₁₃	1	2	yes	complemented
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
478	Q₈×C₁₃	—	2	2	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	1	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	4	2	no	—
488	Q₈×C₁₃	—	4	4	no	—
489	Q₈×C₁₃	—	4	4	no	—
490	Q₈×C₁₃	—	4	2	no	—
491	Q₈×C₁₃	—	8	2	no	—
492	Q₈×C₁₃	—	8	1	no	—
493	Q₈×C₁₃	C₂×#41	1	2	yes	—
494	Q₈×C₁₃	C₂×#41	1	2	yes	—
495	D₄×C₁₃	—	2	4	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	4	no	—
500	D₄×C₁₃	#137	1	4	yes	complemented
501	C₂×C₄×C₁₃	—	2	4	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	1	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	4	4	no	—
522	C₂×C₄×C₁₃	—	4	4	no	—
523	C₂×C₄×C₁₃	—	4	2	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	4	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
538	C₈×C₁₃	—	2	2	no	—
539	C₈×C₁₃	—	2	1	no	—
540	C₈×C₁₃	—	2	1	no	—
541	C₈×C₁₃	—	2	2	no	—
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	C₂×#41	1	2	yes	—
544	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
545	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	—
546	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
547	#557	—	2	1	no	—
548	#557	C₂²×C₁₃	1	1	yes	characteristic
549	#557	C₂²×C₁₃	1	1	yes	characteristic
550	#556	—	2	1	no	—
551	#556	C₂²×C₁₃	1	1	yes	characteristic
552	#554	—	2	1	no	—
553	#554	—	2	2	no	—
554	#554	C₂²×C₁₃	1	1	yes	characteristic
555	#554	C₂²×C₁₃	1	2	yes	—
556	#552	—	2	2	no	—
557	#552	C₂²×C₁₃	1	2	yes	—
558	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
559	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
560	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
561	#548	C₂²×C₁₃	1	2	yes	—
562	#547	—	2	1	no	—
563	#547	C₂²×C₁₃	1	1	yes	characteristic
564	#533	—	2	1	no	—
565	#533	—	2	2	no	—
566	#533	—	2	1	no	—
567	#533	C₂²×C₁₃	1	2	yes	—
568	#533	C₂²×C₁₃	1	1	yes	characteristic
569	#533	C₂²×C₁₃	1	1	yes	characteristic
570	#529	—	2	2	no	—
571	#529	C₂²×C₁₃	1	2	yes	—
572	C₄×#41	—	2	1	no	—
573	C₄×#41	—	2	1	no	—
574	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
575	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
577	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
578	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
579	#501	C₂²×C₁₃	1	2	yes	—
580	#498	C₂²×C₁₃	1	1	yes	characteristic
581	#497	C₂²×C₁₃	1	2	yes	—
582	#494	C₂²×C₁₃	1	1	yes	characteristic
583	#491	C₂²×C₁₃	1	2	yes	—
584	#489	C₂²×C₁₃	1	2	yes	—
585	#487	C₂²×C₁₃	1	1	yes	characteristic
586	#487	C₂²×C₁₃	1	1	yes	characteristic
587	#485	C₂²×C₁₃	1	2	yes	—
588	#484	C₂²×C₁₃	1	2	yes	—
589	#483	C₂²×C₁₃	1	2	yes	—
590	#483	C₂²×C₁₃	1	2	yes	—
591	#483	C₂²×C₁₃	1	2	yes	—
592	#481	C₂²×C₁₃	1	2	yes	—
593	#479	C₂²×C₁₃	1	2	yes	—
594	#479	C₂²×C₁₃	1	2	yes	—
595	#477	C₂²×C₁₃	1	1	yes	characteristic
596	#476	C₂²×C₁₃	1	1	yes	characteristic
597	#475	C₂²×C₁₃	1	1	yes	characteristic
598	#475	C₂²×C₁₃	1	2	yes	—
599	#475	C₂²×C₁₃	1	1	yes	characteristic
600	#475	C₂²×C₁₃	1	2	yes	—
601	#470	C₂²×C₁₃	1	2	yes	—
602	#470	C₂²×C₁₃	1	2	yes	—
603	#467	C₂²×C₁₃	1	2	yes	—
604	#467	C₂²×C₁₃	1	2	yes	—
605	#465	C₂²×C₁₃	1	2	yes	—
606	#465	C₂²×C₁₃	1	2	yes	—
607	#464	C₂²×C₁₃	1	2	yes	—
608	#464	C₂²×C₁₃	1	2	yes	—
609	#462	C₂²×C₁₃	1	1	yes	characteristic
610	#462	C₂²×C₁₃	1	2	yes	—
611	#462	C₂²×C₁₃	1	1	yes	characteristic
612	#462	C₂²×C₁₃	1	2	yes	—
613	#462	C₂²×C₁₃	1	1	yes	characteristic
614	#461	C₂²×C₁₃	1	1	yes	characteristic
615	#452	C₂²×C₁₃	1	2	yes	—
616	#451	C₂²×C₁₃	1	2	yes	—
617	#451	C₂²×C₁₃	1	2	yes	—
618	#451	C₂²×C₁₃	1	2	yes	—
619	#451	C₂²×C₁₃	1	2	yes	—
620	#448	C₂²×C₁₃	1	2	yes	—
621	#446	C₂²×C₁₃	1	1	yes	characteristic
622	#446	C₂²×C₁₃	1	1	yes	characteristic
623	#441	C₂²×C₁₃	1	2	yes	—
624	#441	C₂²×C₁₃	1	2	yes	—
625	#441	C₂²×C₁₃	1	1	yes	characteristic
626	#441	C₂²×C₁₃	1	2	yes	—
627	#441	C₂²×C₁₃	1	2	yes	—
628	#441	C₂²×C₁₃	1	2	yes	—
629	#441	C₂²×C₁₃	1	2	yes	—
630	#441	C₂²×C₁₃	1	2	yes	—
631	#441	C₂²×C₁₃	1	2	yes	—
632	#441	C₂²×C₁₃	1	2	yes	—
633	#441	C₂²×C₁₃	1	1	yes	characteristic
634	#440	C₂²×C₁₃	1	2	yes	—
635	#440	C₂²×C₁₃	1	1	yes	characteristic
636	#440	C₂²×C₁₃	1	1	yes	characteristic
637	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
638	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
641	#435	C₂²×C₁₃	1	2	yes	—
642	#435	C₂²×C₁₃	1	2	yes	—
643	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
644	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
645	#432	C₂²×C₁₃	1	1	yes	characteristic
646	#432	C₂²×C₁₃	1	2	yes	—
647	#428	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×#106	C₂²×C₁₃	1	2	yes	—
649	#419	C₂²×C₁₃	1	1	yes	characteristic
650	#417	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#103	C₂²×C₁₃	1	2	yes	—
652	C₂×#103	C₂²×C₁₃	1	2	yes	—
653	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#97	C₂²×C₁₃	1	2	yes	—
655	C₂²×C₁₃	—	2	2	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	2	1	no	—
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	1	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	C₂×#137	1	4	yes	—
664	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	2	no	—
670	C₄×C₁₃	—	2	2	no	—
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	4	1	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	C₂×#137	1	2	yes	—
684	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
685	C₄×C₁₃	#585	1	1	yes	characteristic
686	C₂×#41	—	2	1	no	—
687	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
688	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
689	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
690	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
691	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
692	#137	—	2	4	no	—
693	C₂×Q₁₆	—	2	8	no	—
694	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
696	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
697	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
707	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
708	C₄⋊Q₈	—	2	1	no	—
709	C₄⋊Q₈	—	2	1	no	—
710	C₄⋊Q₈	—	2	2	no	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	2	no	—
714	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
717	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	—	2	1	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	1	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	C₂³×C₁₃	1	2	yes	—
733	#124	—	2	2	no	—
734	#124	C₂³×C₁₃	1	2	yes	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	C₂²⋊Q₈	—	2	1	no	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	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	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	#121	—	2	2	no	—
757	#121	C₂³×C₁₃	1	2	yes	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	2	no	—
762	C₄×Q₈	—	2	1	no	—
763	C₄×Q₈	—	2	2	no	—
764	C₄×Q₈	—	2	2	no	—
765	C₄×Q₈	—	2	1	no	—
766	C₄×Q₈	—	2	2	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
771	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
774	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
794	C₄×D₄	D₄×C₁₃	1	2	yes	—
795	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₁₃	1	2	yes	—
799	#117	—	2	2	no	—
800	#117	—	2	1	no	—
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	2	no	—
804	#117	—	2	1	no	—
805	#117	—	2	2	no	—
806	#117	D₄×C₁₃	1	2	yes	—
807	#117	D₄×C₁₃	1	1	yes	characteristic
808	#117	C₂³×C₁₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	—	2	2	no	—
810	C₂×C₄⋊C₄	—	2	2	no	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₂×C₄²	—	2	2	no	—
816	C₂×C₄²	—	2	2	no	—
817	C₂×C₄²	—	2	1	no	—
818	C₂×C₄²	—	2	1	no	—
819	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
820	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
821	#107	C₂³×C₁₃	1	1	yes	characteristic
822	#107	C₂³×C₁₃	1	1	yes	characteristic
823	#107	C₂³×C₁₃	1	2	yes	—
824	#106	C₂³×C₁₃	1	1	yes	characteristic
825	#106	C₂³×C₁₃	1	2	yes	—
826	#106	C₂³×C₁₃	1	2	yes	—
827	#106	C₂³×C₁₃	1	2	yes	—
828	#106	C₂³×C₁₃	1	1	yes	characteristic
829	#106	C₂³×C₁₃	1	2	yes	—
830	#106	C₂³×C₁₃	1	2	yes	—
831	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
834	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	1	yes	characteristic
836	#103	C₂³×C₁₃	1	1	yes	characteristic
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	1	yes	characteristic
844	#103	C₂³×C₁₃	1	1	yes	characteristic
845	#103	C₂³×C₁₃	1	1	yes	characteristic
846	#103	C₂³×C₁₃	1	1	yes	characteristic
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	1	yes	characteristic
853	#102	C₂³×C₁₃	1	1	yes	characteristic
854	#102	C₂³×C₁₃	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
858	#97	C₂³×C₁₃	1	1	yes	characteristic
859	#97	C₂³×C₁₃	1	2	yes	—
860	#97	C₂³×C₁₃	1	2	yes	—
861	#97	C₂³×C₁₃	1	2	yes	—
862	#97	C₂³×C₁₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₂×C₁₃	—	2	4	no	—
866	C₂×C₁₃	—	4	1	no	—
867	C₂×C₁₃	—	8	1	no	—
868	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
869	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
870	C₂×C₁₃	#3586	1	1	yes	characteristic
871	#41	—	2	4	no	—
872	#41	—	2	2	no	—
873	#41	—	4	1	no	—
874	#41	—	4	4	no	—
875	C₂×Q₈	—	2	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	4	no	—
882	C₂×Q₈	—	2	4	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	4	2	no	—
885	C₂×Q₈	—	4	2	no	—
886	C₂×Q₈	—	4	1	no	—
887	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
888	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
889	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
890	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
891	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
910	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
912	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
913	Q₁₆	—	2	4	no	—
914	Q₁₆	—	2	4	no	—
915	Q₁₆	—	2	2	no	—
916	Q₁₆	—	2	4	no	—
917	Q₁₆	—	4	2	no	—
918	Q₁₆	—	4	2	no	—
919	Q₁₆	C₁₃×#41	1	4	yes	complemented
920	SD₁₆	—	2	2	no	—
921	SD₁₆	—	2	2	no	—
922	SD₁₆	—	4	2	no	—
923	M₁₆	—	2	2	no	—
924	M₁₆	—	4	1	no	—
925	C₂×C₈	—	2	4	no	—
926	C₂×C₈	—	4	2	no	—
927	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
931	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
932	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
966	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1002	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1003	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1004	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1005	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₁₃	1	2	yes	—
1008	C₁₃	#61457	1	1	yes	characteristic, direct product factor, Sylow
1009	C₂³	—	2	1	no	—
1010	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1011	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	2	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	4	2	no	—
1022	Q₈	—	4	4	no	—
1023	Q₈	—	4	4	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	8	2	no	—
1026	Q₈	—	8	1	no	—
1027	Q₈	C₂×C₁₃×#41	1	2	yes	—
1028	Q₈	C₂×C₁₃×#41	1	2	yes	—
1029	D₄	—	2	4	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	4	no	—
1034	D₄	C₁₃×#137	1	4	yes	complemented
1035	C₂×C₄	—	2	4	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	4	4	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	8	2	no	—
1062	C₂×C₄	—	8	1	no	—
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1065	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1067	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1070	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1071	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1072	C₈	—	2	2	no	—
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₈	—	2	2	no	—
1076	C₈	—	2	1	no	—
1077	C₈	C₂×C₁₃×#41	1	2	yes	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	C₂×C₁₃×#137	1	4	yes	—
1087	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	2	no	—
1106	C₄	C₂×C₁₃×#137	1	2	yes	—
1107	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1108	C₄	C₁₃×#585	1	1	yes	characteristic
1109	C₂	—	2	4	no	—
1110	C₂	—	4	1	no	—
1111	C₂	—	8	1	no	—
1112	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1113	C₂	C₂²×C₁₃×#137	1	1	yes	characteristic
1114	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×#3482	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
2. Q₈×C₁₃×#41	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3387	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3344	C₂	semidirect
8. C₁₃×#3335	C₂	semidirect
9. C₁₃×#3316	C₂	semidirect
10. C₁₃×#3312	C₂	semidirect
11. C₁₃×#3299	C₂	semidirect
12. C₁₃×#3298	C₂	semidirect
13. D₄×C₁₃×Q₁₆	C₂	semidirect
14. C₁₃×#3270	C₂	semidirect
15. C₁₃×#3185	C₂	semidirect
16. C₁₃×#3181	C₂	semidirect
17. C₁₃×#3117	C₂	semidirect
18. C₁₃×#3116	C₂	semidirect
19. C₁₃×#3113	C₂	semidirect
20. C₁₃×#3113	C₂	semidirect
21. C₁₃×#2970	C₂	semidirect
22. C₄×C₁₃×#137	C₂	semidirect
23. C₂×C₁₃×#441	C₂	semidirect
314. #61457	C₁₃	direct (N × H)
363. C₁₃×Q₁₆	#41	semidirect
453. Q₈×#41	C₂×C₁₃	semidirect
454. #3398	C₂×C₁₃	semidirect
455. #3387	C₂×C₁₃	semidirect
456. #3374	C₂×C₁₃	semidirect
457. #3369	C₂×C₁₃	semidirect
458. #3344	C₂×C₁₃	semidirect
459. #3335	C₂×C₁₃	semidirect
460. #3316	C₂×C₁₃	semidirect
461. #3312	C₂×C₁₃	semidirect
462. #3299	C₂×C₁₃	semidirect
463. #3298	C₂×C₁₃	semidirect
464. D₄×Q₁₆	C₂×C₁₃	semidirect
465. #3270	C₂×C₁₃	semidirect
466. #3185	C₂×C₁₃	semidirect
467. #3181	C₂×C₁₃	semidirect
468. #3117	C₂×C₁₃	semidirect
469. #3116	C₂×C₁₃	semidirect
470. #3113	C₂×C₁₃	semidirect
471. #3113	C₂×C₁₃	semidirect
472. #2970	C₂×C₁₃	semidirect
473. C₄×#137	C₂×C₁₃	semidirect
474. C₂×#441	C₂×C₁₃	semidirect
500. D₄×C₁₃	#137	semidirect
919. Q₁₆	C₁₃×#41	semidirect
1008. C₁₃	#61457	direct (N × H)
1034. D₄	C₁₃×#137	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3482	2
Q₈×C₁₃×#41	2
C₁₃×#3398	2
C₁₃×#3387	2
C₁₃×#3374	2
C₁₃×#3369	2
C₁₃×#3344	2
C₁₃×#3335	2
C₁₃×#3316	2
C₁₃×#3312	2
C₁₃×#3299	2
C₁₃×#3298	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3270	2
C₁₃×#3185	2
C₁₃×#3181	2
C₁₃×#3117	2
C₁₃×#3116	2
C₁₃×#3113	2
C₁₃×#2970	2
C₄×C₁₃×#137	2
C₂×C₁₃×#441	2
#61457	13

Subgroups — C13×#61457 #15747796

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61457 #15747796