Subgroups — C₁₃×#62944 #15749283

Order 3328.

7214 conjugacy classes of subgroups.

The subgroup lattice has 1058 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3559	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3548	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3536	C₂	1	8	yes	maximal, complemented
6	C₁₃×#3536	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3519	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3519	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3501	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3489	C₂	1	4	yes	maximal, complemented
14	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×C₁₃×#41	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#537	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
19	C₂²×C₁₃×#41	C₂²	1	4	yes	complemented
20	C₁₃×#563	C₂²	1	8	yes	complemented
21	C₁₃×#562	C₂²	1	16	yes	complemented
22	C₁₃×#562	C₂²	1	8	yes	complemented
23	C₁₃×#562	C₂²	1	16	yes	complemented
24	C₁₃×#556	C₂²	1	4	yes	complemented
25	C₁₃×#555	C₂²	1	4	yes	complemented
26	C₁₃×#555	C₂²	1	4	yes	complemented
27	C₁₃×#554	C₂²	1	4	yes	—
28	C₁₃×#554	C₂²	1	4	yes	—
29	C₁₃×#554	C₂²	1	8	yes	complemented
30	C₁₃×#554	C₂²	1	16	yes	complemented
31	C₁₃×#554	C₂²	1	8	yes	complemented
32	C₁₃×#554	C₂²	1	4	yes	complemented
33	C₁₃×#554	C₂²	1	8	yes	complemented
34	C₁₃×#554	C₂²	1	4	yes	complemented
35	C₁₃×#553	C₂²	1	8	yes	complemented
36	C₁₃×#553	C₂²	1	8	yes	complemented
37	C₁₃×#553	C₂²	1	8	yes	complemented
38	C₁₃×#553	C₂²	1	8	yes	complemented
39	C₁₃×#552	C₂²	1	8	yes	complemented
40	C₁₃×#550	C₂²	1	4	yes	complemented
41	C₁₃×#550	C₂²	1	4	yes	complemented
42	C₁₃×#550	C₂²	1	2	yes	complemented
43	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
44	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
45	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
46	C₁₃×#548	C₂²	1	8	yes	complemented
47	C₁₃×#548	C₂²	1	8	yes	complemented
48	C₁₃×#548	C₂²	1	8	yes	complemented
49	C₁₃×#548	C₂²	1	4	yes	complemented
50	C₁₃×#547	C₂²	1	4	yes	complemented
51	C₁₃×#547	C₂²	1	8	yes	complemented
52	C₁₃×#547	C₂²	1	16	yes	complemented
53	C₁₃×#547	C₂²	1	8	yes	complemented
54	C₁₃×#547	C₂²	1	2	yes	complemented
55	C₁₃×#547	C₂²	1	4	yes	complemented
56	C₁₃×#546	C₂²	1	16	yes	complemented
57	C₁₃×#546	C₂²	1	8	yes	complemented
58	C₁₃×#546	C₂²	1	16	yes	complemented
59	C₁₃×#546	C₂²	1	8	yes	complemented
60	C₁₃×#546	C₂²	1	8	yes	complemented
61	C₁₃×#546	C₂²	1	4	yes	complemented
62	D₄²×C₁₃	C₂²	1	4	yes	—
63	D₄²×C₁₃	C₂²	1	2	yes	—
64	D₄²×C₁₃	C₂²	1	4	yes	—
65	C₁₃×#544	C₂²	1	8	yes	complemented
66	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#543	C₂²	1	16	yes	complemented
68	C₁₃×#542	C₂²	1	4	yes	complemented
69	C₁₃×#542	C₂²	1	16	yes	complemented
70	C₁₃×#542	C₂²	1	8	yes	complemented
71	C₁₃×#541	C₂²	1	4	yes	complemented
72	C₁₃×#540	C₂²	1	8	yes	complemented
73	C₁₃×#540	C₂²	1	8	yes	complemented
74	C₁₃×#539	C₂²	1	4	yes	complemented
75	C₁₃×#539	C₂²	1	16	yes	complemented
76	C₁₃×#539	C₂²	1	8	yes	complemented
77	C₁₃×#538	C₂²	1	16	yes	complemented
78	C₁₃×#538	C₂²	1	16	yes	complemented
79	C₁₃×#537	C₂²	1	1	yes	characteristic
80	C₁₃×#537	C₂²	1	16	yes	complemented
81	C₁₃×#537	C₂²	1	4	yes	complemented
82	C₁₃×#537	C₂²	1	8	yes	complemented
83	C₁₃×#537	C₂²	1	8	yes	complemented
84	C₁₃×#537	C₂²	1	8	yes	complemented
85	C₁₃×#537	C₂²	1	8	yes	complemented
86	C₁₃×#537	C₂²	1	4	yes	complemented
87	C₁₃×#537	C₂²	1	2	yes	complemented
88	C₁₃×#536	C₂²	1	8	yes	complemented
89	C₁₃×#536	C₂²	1	2	yes	complemented
90	C₁₃×#533	C₂²	1	4	yes	complemented
91	C₁₃×#533	C₂²	1	4	yes	complemented
92	C₁₃×#532	C₂²	1	4	yes	complemented
93	C₁₃×#532	C₂²	1	4	yes	complemented
94	C₁₃×#532	C₂²	1	4	yes	complemented
95	C₁₃×#532	C₂²	1	2	yes	complemented
96	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#529	C₂²	1	4	yes	complemented
98	C₁₃×#529	C₂²	1	4	yes	complemented
99	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
100	C₁₃×#525	C₂²	1	8	yes	complemented
101	C₁₃×#525	C₂²	1	8	yes	complemented
102	C₁₃×#525	C₂²	1	8	yes	complemented
103	C₁₃×#525	C₂²	1	4	yes	complemented
104	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
105	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
106	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
107	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
108	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
109	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
110	C₁₃×#520	C₂²	1	4	yes	complemented
111	C₁₃×#518	C₂²	1	8	yes	—
112	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
113	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
115	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
116	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
117	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
118	C₁₃×2₋¹⁺⁴	—	4	8	no	—
119	C₂×C₁₃×#41	—	4	16	no	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂×C₁₃×#41	C₂³	1	4	yes	—
122	C₂×C₁₃×#41	C₂³	1	8	yes	—
123	C₂×C₁₃×#41	C₂³	1	8	yes	—
124	C₂×C₁₃×#41	C₂³	1	8	yes	—
125	C₂×C₁₃×#41	C₂³	1	8	yes	—
126	C₂×C₁₃×#41	C₂³	1	4	yes	—
127	C₂×C₁₃×#41	C₂³	1	4	yes	—
128	C₂×C₁₃×#41	C₂³	1	8	yes	—
129	C₂×C₁₃×#41	C₂³	1	8	yes	—
130	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
132	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
133	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
136	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
137	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
139	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
141	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
145	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
147	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
148	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
149	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
150	C₁₃×#127	C₂³	1	2	yes	—
151	C₁₃×#127	C₂³	1	4	yes	—
152	C₁₃×#127	C₂³	1	4	yes	—
153	C₁₃×#126	C₂³	1	8	yes	—
154	C₁₃×#126	C₂³	1	8	yes	—
155	C₁₃×#126	C₂³	1	16	yes	—
156	C₁₃×#126	C₂³	1	16	yes	—
157	C₁₃×#125	C₂³	1	8	yes	—
158	C₁₃×#125	C₂³	1	8	yes	—
159	C₁₃×#125	C₂³	1	4	yes	—
160	C₁₃×#125	C₂³	1	4	yes	—
161	C₁₃×#125	C₂³	1	8	yes	—
162	C₁₃×#125	C₂³	1	8	yes	—
163	C₁₃×#125	C₂³	1	16	yes	—
164	C₁₃×#124	C₂³	1	4	yes	—
165	C₁₃×#124	C₂³	1	4	yes	—
166	C₁₃×#124	C₂³	1	8	yes	—
167	C₁₃×#124	C₂³	1	8	yes	—
168	C₁₃×#124	C₂³	1	4	yes	—
169	C₁₃×#124	C₂³	1	8	yes	—
170	C₁₃×#124	C₂³	1	16	yes	—
171	C₁₃×#124	C₂³	1	16	yes	—
172	C₁₃×#123	C₂³	1	16	yes	—
173	C₁₃×#123	C₂³	1	16	yes	—
174	C₁₃×#123	C₂³	1	8	yes	—
175	C₁₃×#123	C₂³	1	8	yes	—
176	C₁₃×#123	C₂³	1	8	yes	—
177	C₁₃×#123	C₂³	1	8	yes	—
178	C₁₃×#123	C₂³	1	8	yes	—
179	C₁₃×#123	C₂³	1	16	yes	—
180	C₁₃×#123	C₂³	1	16	yes	—
181	C₁₃×#123	C₂³	1	16	yes	—
182	C₁₃×#123	C₂³	1	16	yes	—
183	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
185	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
186	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
187	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
188	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
189	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
192	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
209	C₁₃×#121	C₂³	1	4	yes	—
210	C₁₃×#121	C₂³	1	4	yes	—
211	C₁₃×#121	C₂³	1	8	yes	—
212	C₁₃×#121	C₂³	1	8	yes	—
213	C₁₃×#121	C₂³	1	16	yes	—
214	C₁₃×#121	C₂³	1	16	yes	—
215	C₁₃×#121	C₂³	1	16	yes	—
216	C₁₃×#121	C₂³	1	8	yes	—
217	C₁₃×#121	C₂³	1	16	yes	—
218	C₁₃×#121	C₂³	1	8	yes	—
219	C₁₃×#121	C₂³	1	8	yes	—
220	C₁₃×#121	C₂³	1	8	yes	—
221	C₁₃×#121	C₂³	1	4	yes	—
222	C₁₃×#121	C₂³	1	4	yes	—
223	C₁₃×#121	C₂³	1	8	yes	—
224	C₁₃×#121	C₂³	1	8	yes	—
225	C₁₃×#121	C₂³	1	8	yes	—
226	C₁₃×#121	C₂³	1	4	yes	—
227	C₁₃×#121	C₂³	1	4	yes	—
228	C₁₃×#121	C₂³	1	8	yes	—
229	C₁₃×#121	C₂³	1	4	yes	—
230	C₁₃×#121	C₂³	1	4	yes	—
231	C₁₃×#121	C₂³	1	8	yes	—
232	C₁₃×#121	C₂³	1	16	yes	—
233	C₁₃×#121	C₂³	1	16	yes	—
234	C₁₃×#121	C₂³	1	16	yes	—
235	C₁₃×#121	C₂³	1	16	yes	—
236	C₁₃×#120	C₂³	1	8	yes	—
237	C₁₃×#120	C₂³	1	8	yes	—
238	C₁₃×#120	C₂³	1	8	yes	—
239	C₁₃×#120	C₂³	1	16	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	4	yes	—
250	C₄×D₄×C₁₃	C₂³	1	4	yes	—
251	C₄×D₄×C₁₃	C₂³	1	8	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	4	yes	—
254	C₄×D₄×C₁₃	C₂³	1	8	yes	—
255	C₄×D₄×C₁₃	C₂³	1	8	yes	—
256	C₄×D₄×C₁₃	C₂³	1	4	yes	—
257	C₄×D₄×C₁₃	C₂³	1	4	yes	—
258	C₄×D₄×C₁₃	C₂³	1	4	yes	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	4	yes	—
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₄×D₄×C₁₃	C₂³	1	16	yes	—
263	C₄×D₄×C₁₃	C₂³	1	16	yes	—
264	C₄×D₄×C₁₃	C₂³	1	8	yes	—
265	C₄×D₄×C₁₃	C₂³	1	8	yes	—
266	C₄×D₄×C₁₃	C₂³	1	16	yes	—
267	C₄×D₄×C₁₃	C₂³	1	8	yes	—
268	C₄×D₄×C₁₃	C₂³	1	8	yes	—
269	C₄×D₄×C₁₃	C₂³	1	4	yes	—
270	C₄×D₄×C₁₃	C₂³	1	16	yes	—
271	C₄×D₄×C₁₃	C₂³	1	4	yes	—
272	C₄×D₄×C₁₃	C₂³	1	8	yes	—
273	C₁₃×#117	C₂³	1	2	yes	—
274	C₁₃×#117	C₂³	1	4	yes	—
275	C₁₃×#117	C₂³	1	8	yes	—
276	C₁₃×#117	C₂³	1	8	yes	—
277	C₁₃×#117	C₂³	1	8	yes	—
278	C₁₃×#117	C₂³	1	8	yes	—
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
299	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
300	#62944	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
301	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
302	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
303	C₁₃×#41	—	2	8	no	—
304	C₁₃×#41	—	2	16	no	—
305	C₁₃×#41	—	4	16	no	—
306	C₁₃×#41	—	4	16	no	—
307	C₁₃×#41	—	4	16	no	—
308	C₁₃×#41	—	4	8	no	—
309	C₁₃×#41	—	4	8	no	—
310	C₁₃×#41	—	4	16	no	—
311	C₁₃×#41	—	8	8	no	—
312	C₁₃×#41	—	8	8	no	—
313	C₂×Q₈×C₁₃	—	2	4	no	—
314	C₂×Q₈×C₁₃	—	4	8	no	—
315	C₂×Q₈×C₁₃	—	4	16	no	—
316	C₂×Q₈×C₁₃	—	8	2	no	—
317	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
318	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
319	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
320	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
321	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
322	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
323	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
324	C₂×D₄×C₁₃	—	2	4	no	—
325	C₂×D₄×C₁₃	—	2	16	no	—
326	C₂×D₄×C₁₃	—	4	8	no	—
327	C₂×D₄×C₁₃	—	4	16	no	—
328	C₂×D₄×C₁₃	—	8	8	no	—
329	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
330	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
331	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
334	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
336	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
337	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
339	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
342	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	—	2	8	no	—
348	C₂²×C₄×C₁₃	—	4	16	no	—
349	C₂²×C₄×C₁₃	—	8	4	no	—
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
360	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
362	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
363	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
365	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
366	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
367	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
368	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
379	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
380	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
381	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
382	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
383	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
385	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
386	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
387	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
388	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
389	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
390	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
391	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
392	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
393	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
394	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
398	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
400	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
401	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
402	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
403	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
404	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
405	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
406	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
407	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
408	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
409	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
410	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
411	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
412	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
413	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
414	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
415	C₄²×C₁₃	C₂⁴	1	2	yes	—
416	C₄²×C₁₃	C₂⁴	1	4	yes	—
417	C₄²×C₁₃	C₂⁴	1	2	yes	—
418	C₄²×C₁₃	C₂⁴	1	4	yes	—
419	C₄²×C₁₃	C₂⁴	1	4	yes	—
420	C₄²×C₁₃	C₂⁴	1	4	yes	—
421	C₄²×C₁₃	C₂⁴	1	4	yes	—
422	C₄²×C₁₃	C₂⁴	1	16	yes	—
423	#3559	C₂×C₁₃	1	4	yes	complemented
424	#3548	C₂×C₁₃	1	4	yes	complemented
425	#3547	C₂×C₁₃	1	4	yes	complemented
426	#3541	C₂×C₁₃	1	8	yes	complemented
427	#3536	C₂×C₁₃	1	8	yes	complemented
428	#3536	C₂×C₁₃	1	8	yes	complemented
429	#3519	C₂×C₁₃	1	4	yes	complemented
430	#3519	C₂×C₁₃	1	4	yes	complemented
431	#3511	C₂×C₁₃	1	2	yes	complemented
432	#3501	C₂×C₁₃	1	4	yes	complemented
433	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#3492	C₂×C₁₃	1	2	yes	complemented
435	#3489	C₂×C₁₃	1	4	yes	complemented
436	C₂×#554	C₂×C₁₃	1	1	yes	characteristic, complemented
437	D₄×#41	C₂×C₁₃	1	2	yes	complemented
438	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
439	C₂×#537	C₂×C₁₃	1	2	yes	complemented
440	C₂³×C₁₃	—	2	4	no	—
441	C₂³×C₁₃	—	2	4	no	—
442	C₂³×C₁₃	—	2	16	no	—
443	C₂³×C₁₃	—	4	2	no	—
444	C₂³×C₁₃	—	4	8	no	—
445	C₂³×C₁₃	—	4	8	no	—
446	C₂³×C₁₃	C₂⁵	1	4	yes	—
447	C₂³×C₁₃	C₂⁵	1	2	yes	—
448	C₂³×C₁₃	C₂⁵	1	8	yes	—
449	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
450	C₂³×C₁₃	C₂⁵	1	2	yes	—
451	Q₈×C₁₃	—	2	8	no	—
452	Q₈×C₁₃	—	2	8	no	—
453	Q₈×C₁₃	—	2	4	no	—
454	Q₈×C₁₃	—	4	8	no	—
455	Q₈×C₁₃	—	4	8	no	—
456	Q₈×C₁₃	—	4	8	no	—
457	Q₈×C₁₃	—	4	4	no	—
458	D₄×C₁₃	—	2	8	no	—
459	D₄×C₁₃	—	2	16	no	—
460	D₄×C₁₃	—	2	4	no	—
461	D₄×C₁₃	—	2	16	no	—
462	D₄×C₁₃	—	2	4	no	—
463	D₄×C₁₃	—	2	8	no	—
464	D₄×C₁₃	—	2	2	no	—
465	D₄×C₁₃	—	2	8	no	—
466	D₄×C₁₃	—	4	8	no	—
467	D₄×C₁₃	—	4	8	no	—
468	D₄×C₁₃	—	4	8	no	—
469	D₄×C₁₃	—	4	4	no	—
470	D₄×C₁₃	—	4	8	no	—
471	D₄×C₁₃	—	4	16	no	—
472	D₄×C₁₃	—	4	8	no	—
473	D₄×C₁₃	—	4	8	no	—
474	D₄×C₁₃	—	4	4	no	—
475	D₄×C₁₃	2₋¹⁺⁴	1	4	yes	complemented
476	C₂×C₄×C₁₃	—	2	4	no	—
477	C₂×C₄×C₁₃	—	2	4	no	—
478	C₂×C₄×C₁₃	—	2	8	no	—
479	C₂×C₄×C₁₃	—	2	8	no	—
480	C₂×C₄×C₁₃	—	2	8	no	—
481	C₂×C₄×C₁₃	—	2	16	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	8	no	—
484	C₂×C₄×C₁₃	—	4	8	no	—
485	C₂×C₄×C₁₃	—	4	8	no	—
486	C₂×C₄×C₁₃	—	4	8	no	—
487	C₂×C₄×C₁₃	—	4	2	no	—
488	C₂×C₄×C₁₃	—	4	8	no	—
489	C₂×C₄×C₁₃	—	4	4	no	—
490	C₂×C₄×C₁₃	—	4	8	no	—
491	C₂×C₄×C₁₃	—	4	16	no	—
492	C₂×C₄×C₁₃	—	4	1	no	—
493	C₂×C₄×C₁₃	—	4	16	no	—
494	C₂×C₄×C₁₃	—	4	4	no	—
495	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
496	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
497	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
498	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
499	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
500	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
501	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
502	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
503	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
504	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
505	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
506	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
507	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
508	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
509	C₂²×#41	C₂²×C₁₃	1	4	yes	complemented
510	#563	C₂²×C₁₃	1	8	yes	complemented
511	#562	C₂²×C₁₃	1	16	yes	complemented
512	#562	C₂²×C₁₃	1	8	yes	complemented
513	#562	C₂²×C₁₃	1	16	yes	complemented
514	#556	C₂²×C₁₃	1	4	yes	complemented
515	#555	C₂²×C₁₃	1	4	yes	complemented
516	#555	C₂²×C₁₃	1	4	yes	complemented
517	#554	C₂²×C₁₃	1	4	yes	—
518	#554	C₂²×C₁₃	1	4	yes	—
519	#554	C₂²×C₁₃	1	8	yes	complemented
520	#554	C₂²×C₁₃	1	4	yes	complemented
521	#554	C₂²×C₁₃	1	8	yes	complemented
522	#554	C₂²×C₁₃	1	4	yes	complemented
523	#554	C₂²×C₁₃	1	16	yes	complemented
524	#554	C₂²×C₁₃	1	8	yes	complemented
525	#553	C₂²×C₁₃	1	8	yes	complemented
526	#553	C₂²×C₁₃	1	8	yes	complemented
527	#553	C₂²×C₁₃	1	8	yes	complemented
528	#553	C₂²×C₁₃	1	8	yes	complemented
529	#552	C₂²×C₁₃	1	8	yes	complemented
530	#550	C₂²×C₁₃	1	2	yes	complemented
531	#550	C₂²×C₁₃	1	4	yes	complemented
532	#550	C₂²×C₁₃	1	4	yes	complemented
533	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
534	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
535	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
536	#548	C₂²×C₁₃	1	4	yes	complemented
537	#548	C₂²×C₁₃	1	8	yes	complemented
538	#548	C₂²×C₁₃	1	8	yes	complemented
539	#548	C₂²×C₁₃	1	8	yes	complemented
540	#547	C₂²×C₁₃	1	2	yes	complemented
541	#547	C₂²×C₁₃	1	4	yes	complemented
542	#547	C₂²×C₁₃	1	16	yes	complemented
543	#547	C₂²×C₁₃	1	8	yes	complemented
544	#547	C₂²×C₁₃	1	8	yes	complemented
545	#547	C₂²×C₁₃	1	4	yes	complemented
546	#546	C₂²×C₁₃	1	8	yes	complemented
547	#546	C₂²×C₁₃	1	4	yes	complemented
548	#546	C₂²×C₁₃	1	16	yes	complemented
549	#546	C₂²×C₁₃	1	8	yes	complemented
550	#546	C₂²×C₁₃	1	16	yes	complemented
551	#546	C₂²×C₁₃	1	8	yes	complemented
552	D₄²	C₂²×C₁₃	1	2	yes	—
553	D₄²	C₂²×C₁₃	1	4	yes	—
554	D₄²	C₂²×C₁₃	1	4	yes	—
555	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
556	#544	C₂²×C₁₃	1	8	yes	complemented
557	#543	C₂²×C₁₃	1	16	yes	complemented
558	#542	C₂²×C₁₃	1	4	yes	complemented
559	#542	C₂²×C₁₃	1	8	yes	complemented
560	#542	C₂²×C₁₃	1	16	yes	complemented
561	#541	C₂²×C₁₃	1	4	yes	complemented
562	#540	C₂²×C₁₃	1	8	yes	complemented
563	#540	C₂²×C₁₃	1	8	yes	complemented
564	#539	C₂²×C₁₃	1	4	yes	complemented
565	#539	C₂²×C₁₃	1	8	yes	complemented
566	#539	C₂²×C₁₃	1	16	yes	complemented
567	#538	C₂²×C₁₃	1	16	yes	complemented
568	#538	C₂²×C₁₃	1	16	yes	complemented
569	#537	C₂²×C₁₃	1	1	yes	characteristic
570	#537	C₂²×C₁₃	1	4	yes	complemented
571	#537	C₂²×C₁₃	1	2	yes	complemented
572	#537	C₂²×C₁₃	1	8	yes	complemented
573	#537	C₂²×C₁₃	1	8	yes	complemented
574	#537	C₂²×C₁₃	1	8	yes	complemented
575	#537	C₂²×C₁₃	1	8	yes	complemented
576	#537	C₂²×C₁₃	1	4	yes	complemented
577	#537	C₂²×C₁₃	1	16	yes	complemented
578	#536	C₂²×C₁₃	1	2	yes	complemented
579	#536	C₂²×C₁₃	1	8	yes	complemented
580	#533	C₂²×C₁₃	1	4	yes	complemented
581	#533	C₂²×C₁₃	1	4	yes	complemented
582	#532	C₂²×C₁₃	1	2	yes	complemented
583	#532	C₂²×C₁₃	1	4	yes	complemented
584	#532	C₂²×C₁₃	1	4	yes	complemented
585	#532	C₂²×C₁₃	1	4	yes	complemented
586	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#529	C₂²×C₁₃	1	4	yes	complemented
588	#529	C₂²×C₁₃	1	4	yes	complemented
589	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
590	#525	C₂²×C₁₃	1	4	yes	complemented
591	#525	C₂²×C₁₃	1	8	yes	complemented
592	#525	C₂²×C₁₃	1	8	yes	complemented
593	#525	C₂²×C₁₃	1	8	yes	complemented
594	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
595	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
596	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
597	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
598	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
599	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
600	#520	C₂²×C₁₃	1	4	yes	complemented
601	#518	C₂²×C₁₃	1	8	yes	—
602	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
603	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
605	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
606	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
607	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	2	1	no	—
610	C₂²×C₁₃	—	2	1	no	—
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	8	no	—
614	C₂²×C₁₃	—	2	4	no	—
615	C₂²×C₁₃	—	2	4	no	—
616	C₂²×C₁₃	—	2	2	no	—
617	C₂²×C₁₃	—	2	8	no	—
618	C₂²×C₁₃	—	2	2	no	—
619	C₂²×C₁₃	—	2	8	no	—
620	C₂²×C₁₃	—	2	4	no	—
621	C₂²×C₁₃	—	4	8	no	—
622	C₂²×C₁₃	—	8	16	no	—
623	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
624	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
625	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
626	C₄×C₁₃	—	2	4	no	—
627	C₄×C₁₃	—	2	4	no	—
628	C₄×C₁₃	—	2	8	no	—
629	C₄×C₁₃	—	2	4	no	—
630	C₄×C₁₃	—	2	1	no	—
631	C₄×C₁₃	—	2	4	no	—
632	C₄×C₁₃	—	2	4	no	—
633	C₄×C₁₃	—	2	8	no	—
634	C₄×C₁₃	—	2	4	no	—
635	C₄×C₁₃	—	2	2	no	—
636	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
637	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
638	2₋¹⁺⁴	—	4	8	no	—
639	C₂×#41	—	4	16	no	—
640	C₂×#41	C₂³×C₁₃	1	2	yes	—
641	C₂×#41	C₂³×C₁₃	1	4	yes	—
642	C₂×#41	C₂³×C₁₃	1	8	yes	—
643	C₂×#41	C₂³×C₁₃	1	8	yes	—
644	C₂×#41	C₂³×C₁₃	1	8	yes	—
645	C₂×#41	C₂³×C₁₃	1	8	yes	—
646	C₂×#41	C₂³×C₁₃	1	4	yes	—
647	C₂×#41	C₂³×C₁₃	1	4	yes	—
648	C₂×#41	C₂³×C₁₃	1	8	yes	—
649	C₂×#41	C₂³×C₁₃	1	8	yes	—
650	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
651	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
652	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
653	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
654	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
655	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
656	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
657	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
658	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
659	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
660	C₂³×C₄	C₂³×C₁₃	1	8	yes	—
661	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
662	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
663	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
664	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
665	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
666	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
667	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
668	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
669	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
670	#127	C₂³×C₁₃	1	2	yes	—
671	#127	C₂³×C₁₃	1	4	yes	—
672	#127	C₂³×C₁₃	1	4	yes	—
673	#126	C₂³×C₁₃	1	8	yes	—
674	#126	C₂³×C₁₃	1	8	yes	—
675	#126	C₂³×C₁₃	1	16	yes	—
676	#126	C₂³×C₁₃	1	16	yes	—
677	#125	C₂³×C₁₃	1	8	yes	—
678	#125	C₂³×C₁₃	1	8	yes	—
679	#125	C₂³×C₁₃	1	4	yes	—
680	#125	C₂³×C₁₃	1	4	yes	—
681	#125	C₂³×C₁₃	1	8	yes	—
682	#125	C₂³×C₁₃	1	8	yes	—
683	#125	C₂³×C₁₃	1	16	yes	—
684	#124	C₂³×C₁₃	1	4	yes	—
685	#124	C₂³×C₁₃	1	4	yes	—
686	#124	C₂³×C₁₃	1	8	yes	—
687	#124	C₂³×C₁₃	1	8	yes	—
688	#124	C₂³×C₁₃	1	4	yes	—
689	#124	C₂³×C₁₃	1	8	yes	—
690	#124	C₂³×C₁₃	1	16	yes	—
691	#124	C₂³×C₁₃	1	16	yes	—
692	#123	C₂³×C₁₃	1	16	yes	—
693	#123	C₂³×C₁₃	1	16	yes	—
694	#123	C₂³×C₁₃	1	8	yes	—
695	#123	C₂³×C₁₃	1	8	yes	—
696	#123	C₂³×C₁₃	1	8	yes	—
697	#123	C₂³×C₁₃	1	8	yes	—
698	#123	C₂³×C₁₃	1	8	yes	—
699	#123	C₂³×C₁₃	1	16	yes	—
700	#123	C₂³×C₁₃	1	16	yes	—
701	#123	C₂³×C₁₃	1	16	yes	—
702	#123	C₂³×C₁₃	1	16	yes	—
703	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
704	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
705	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
706	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
707	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
708	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
709	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
710	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
711	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
712	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
713	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
714	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
715	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
716	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
717	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
718	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
719	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
720	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
721	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
722	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
723	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
724	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
725	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
726	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
727	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
728	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
729	#121	C₂³×C₁₃	1	4	yes	—
730	#121	C₂³×C₁₃	1	4	yes	—
731	#121	C₂³×C₁₃	1	8	yes	—
732	#121	C₂³×C₁₃	1	8	yes	—
733	#121	C₂³×C₁₃	1	16	yes	—
734	#121	C₂³×C₁₃	1	16	yes	—
735	#121	C₂³×C₁₃	1	16	yes	—
736	#121	C₂³×C₁₃	1	8	yes	—
737	#121	C₂³×C₁₃	1	16	yes	—
738	#121	C₂³×C₁₃	1	8	yes	—
739	#121	C₂³×C₁₃	1	8	yes	—
740	#121	C₂³×C₁₃	1	8	yes	—
741	#121	C₂³×C₁₃	1	4	yes	—
742	#121	C₂³×C₁₃	1	4	yes	—
743	#121	C₂³×C₁₃	1	8	yes	—
744	#121	C₂³×C₁₃	1	8	yes	—
745	#121	C₂³×C₁₃	1	8	yes	—
746	#121	C₂³×C₁₃	1	4	yes	—
747	#121	C₂³×C₁₃	1	4	yes	—
748	#121	C₂³×C₁₃	1	8	yes	—
749	#121	C₂³×C₁₃	1	4	yes	—
750	#121	C₂³×C₁₃	1	4	yes	—
751	#121	C₂³×C₁₃	1	8	yes	—
752	#121	C₂³×C₁₃	1	16	yes	—
753	#121	C₂³×C₁₃	1	16	yes	—
754	#121	C₂³×C₁₃	1	16	yes	—
755	#121	C₂³×C₁₃	1	16	yes	—
756	#120	C₂³×C₁₃	1	8	yes	—
757	#120	C₂³×C₁₃	1	8	yes	—
758	#120	C₂³×C₁₃	1	8	yes	—
759	#120	C₂³×C₁₃	1	16	yes	—
760	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
761	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
762	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
763	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
764	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
765	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
766	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
767	C₄×D₄	C₂³×C₁₃	1	2	yes	—
768	C₄×D₄	C₂³×C₁₃	1	4	yes	—
769	C₄×D₄	C₂³×C₁₃	1	4	yes	—
770	C₄×D₄	C₂³×C₁₃	1	4	yes	—
771	C₄×D₄	C₂³×C₁₃	1	8	yes	—
772	C₄×D₄	C₂³×C₁₃	1	2	yes	—
773	C₄×D₄	C₂³×C₁₃	1	4	yes	—
774	C₄×D₄	C₂³×C₁₃	1	8	yes	—
775	C₄×D₄	C₂³×C₁₃	1	8	yes	—
776	C₄×D₄	C₂³×C₁₃	1	4	yes	—
777	C₄×D₄	C₂³×C₁₃	1	4	yes	—
778	C₄×D₄	C₂³×C₁₃	1	4	yes	—
779	C₄×D₄	C₂³×C₁₃	1	2	yes	—
780	C₄×D₄	C₂³×C₁₃	1	4	yes	—
781	C₄×D₄	C₂³×C₁₃	1	2	yes	—
782	C₄×D₄	C₂³×C₁₃	1	16	yes	—
783	C₄×D₄	C₂³×C₁₃	1	16	yes	—
784	C₄×D₄	C₂³×C₁₃	1	8	yes	—
785	C₄×D₄	C₂³×C₁₃	1	8	yes	—
786	C₄×D₄	C₂³×C₁₃	1	16	yes	—
787	C₄×D₄	C₂³×C₁₃	1	8	yes	—
788	C₄×D₄	C₂³×C₁₃	1	8	yes	—
789	C₄×D₄	C₂³×C₁₃	1	4	yes	—
790	C₄×D₄	C₂³×C₁₃	1	16	yes	—
791	C₄×D₄	C₂³×C₁₃	1	4	yes	—
792	C₄×D₄	C₂³×C₁₃	1	8	yes	—
793	#117	C₂³×C₁₃	1	2	yes	—
794	#117	C₂³×C₁₃	1	4	yes	—
795	#117	C₂³×C₁₃	1	8	yes	—
796	#117	C₂³×C₁₃	1	8	yes	—
797	#117	C₂³×C₁₃	1	8	yes	—
798	#117	C₂³×C₁₃	1	8	yes	—
799	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
801	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
802	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
803	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
804	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
806	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
807	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
809	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
810	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
811	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
817	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
818	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
819	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
820	C₂×C₁₃	—	2	2	no	—
821	C₂×C₁₃	—	2	4	no	—
822	C₂×C₁₃	—	4	2	no	—
823	C₂×C₁₃	—	4	8	no	—
824	C₂×C₁₃	—	4	4	no	—
825	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
826	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
827	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
828	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
829	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
830	#41	—	2	8	no	—
831	#41	—	2	16	no	—
832	#41	—	4	16	no	—
833	#41	—	4	16	no	—
834	#41	—	4	16	no	—
835	#41	—	4	8	no	—
836	#41	—	4	8	no	—
837	#41	—	4	16	no	—
838	#41	—	8	8	no	—
839	#41	—	8	8	no	—
840	C₂×Q₈	—	2	4	no	—
841	C₂×Q₈	—	4	8	no	—
842	C₂×Q₈	—	4	16	no	—
843	C₂×Q₈	—	8	2	no	—
844	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
845	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
846	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
847	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
848	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
849	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
850	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	16	no	—
853	C₂×D₄	—	4	8	no	—
854	C₂×D₄	—	4	16	no	—
855	C₂×D₄	—	8	8	no	—
856	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
857	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
858	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
859	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
860	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
861	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
862	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
863	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
864	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
865	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
866	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
867	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
868	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
869	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
870	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
871	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
872	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
873	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₂²×C₄	—	2	8	no	—
875	C₂²×C₄	—	4	16	no	—
876	C₂²×C₄	—	8	4	no	—
877	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
878	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
879	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
880	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
881	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
882	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
883	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
884	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
885	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
887	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
888	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
889	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
890	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
891	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
892	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
893	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
894	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
895	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
896	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
898	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
899	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
900	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
901	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
902	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
903	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
904	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
905	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
906	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
907	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
908	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
909	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
910	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
911	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
912	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
913	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
914	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
915	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
916	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
917	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
918	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
919	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
920	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
921	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
922	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
923	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
924	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
925	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
926	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
927	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
928	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
929	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
930	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
931	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
932	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
933	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
934	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
935	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
936	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
937	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
938	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
939	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
940	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
941	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
942	C₄²	C₂⁴×C₁₃	1	2	yes	—
943	C₄²	C₂⁴×C₁₃	1	4	yes	—
944	C₄²	C₂⁴×C₁₃	1	2	yes	—
945	C₄²	C₂⁴×C₁₃	1	4	yes	—
946	C₄²	C₂⁴×C₁₃	1	4	yes	—
947	C₄²	C₂⁴×C₁₃	1	4	yes	—
948	C₄²	C₂⁴×C₁₃	1	4	yes	—
949	C₄²	C₂⁴×C₁₃	1	16	yes	—
950	C₁₃	#62944	1	1	yes	characteristic, direct product factor, Sylow
951	C₂³	—	2	4	no	—
952	C₂³	—	2	4	no	—
953	C₂³	—	2	16	no	—
954	C₂³	—	4	2	no	—
955	C₂³	—	4	8	no	—
956	C₂³	—	4	8	no	—
957	C₂³	C₂⁵×C₁₃	1	4	yes	—
958	C₂³	C₂⁵×C₁₃	1	2	yes	—
959	C₂³	C₂⁵×C₁₃	1	8	yes	—
960	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
961	C₂³	C₂⁵×C₁₃	1	2	yes	—
962	Q₈	—	2	8	no	—
963	Q₈	—	2	8	no	—
964	Q₈	—	2	4	no	—
965	Q₈	—	4	8	no	—
966	Q₈	—	4	8	no	—
967	Q₈	—	4	8	no	—
968	Q₈	—	4	4	no	—
969	D₄	—	2	8	no	—
970	D₄	—	2	16	no	—
971	D₄	—	2	4	no	—
972	D₄	—	2	16	no	—
973	D₄	—	2	4	no	—
974	D₄	—	2	8	no	—
975	D₄	—	2	2	no	—
976	D₄	—	2	8	no	—
977	D₄	—	4	8	no	—
978	D₄	—	4	8	no	—
979	D₄	—	4	8	no	—
980	D₄	—	4	4	no	—
981	D₄	—	4	8	no	—
982	D₄	—	4	16	no	—
983	D₄	—	4	8	no	—
984	D₄	—	4	8	no	—
985	D₄	—	4	4	no	—
986	D₄	C₁₃×2₋¹⁺⁴	1	4	yes	complemented
987	C₂×C₄	—	2	4	no	—
988	C₂×C₄	—	2	4	no	—
989	C₂×C₄	—	2	8	no	—
990	C₂×C₄	—	2	8	no	—
991	C₂×C₄	—	2	8	no	—
992	C₂×C₄	—	2	16	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	8	no	—
995	C₂×C₄	—	4	8	no	—
996	C₂×C₄	—	4	8	no	—
997	C₂×C₄	—	4	8	no	—
998	C₂×C₄	—	4	2	no	—
999	C₂×C₄	—	4	8	no	—
1000	C₂×C₄	—	4	4	no	—
1001	C₂×C₄	—	4	8	no	—
1002	C₂×C₄	—	4	16	no	—
1003	C₂×C₄	—	4	1	no	—
1004	C₂×C₄	—	4	16	no	—
1005	C₂×C₄	—	4	4	no	—
1006	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1007	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1008	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1009	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1010	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1011	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1012	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1013	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1014	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1015	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1016	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1017	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1018	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1019	C₂²	—	2	2	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	8	no	—
1025	C₂²	—	2	4	no	—
1026	C₂²	—	2	4	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	2	8	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	2	8	no	—
1031	C₂²	—	2	4	no	—
1032	C₂²	—	4	8	no	—
1033	C₂²	—	8	16	no	—
1034	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1035	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1036	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1037	C₄	—	2	4	no	—
1038	C₄	—	2	4	no	—
1039	C₄	—	2	8	no	—
1040	C₄	—	2	4	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	4	no	—
1043	C₄	—	2	4	no	—
1044	C₄	—	2	8	no	—
1045	C₄	—	2	4	no	—
1046	C₄	—	2	2	no	—
1047	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1048	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1049	C₂	—	2	2	no	—
1050	C₂	—	2	4	no	—
1051	C₂	—	4	2	no	—
1052	C₂	—	4	4	no	—
1053	C₂	—	4	8	no	—
1054	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1055	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1056	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3559	C₂	semidirect
2. C₁₃×#3548	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3541	C₂	semidirect
5. C₁₃×#3536	C₂	semidirect
6. C₁₃×#3536	C₂	semidirect
7. C₁₃×#3519	C₂	semidirect
8. C₁₃×#3519	C₂	semidirect
9. C₁₃×#3511	C₂	semidirect
10. C₁₃×#3501	C₂	semidirect
11. C₁₃×#3497	C₂	semidirect
12. C₁₃×#3492	C₂	semidirect
13. C₁₃×#3489	C₂	semidirect
14. C₂×C₁₃×#554	C₂	semidirect
15. D₄×C₁₃×#41	C₂	semidirect
16. C₁₃×#3461	C₂	semidirect
17. C₂×C₁₃×#537	C₂	semidirect
18. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
19. C₂²×C₁₃×#41	C₂²	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#562	C₂²	semidirect
22. C₁₃×#562	C₂²	semidirect
23. C₁₃×#562	C₂²	semidirect
24. C₁₃×#556	C₂²	semidirect
25. C₁₃×#555	C₂²	semidirect
26. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
39. C₁₃×#552	C₂²	semidirect
40. C₁₃×#550	C₂²	semidirect
41. C₁₃×#550	C₂²	semidirect
42. C₁₃×#550	C₂²	semidirect
44. D₄×Q₈×C₁₃	C₂²	semidirect
45. D₄×Q₈×C₁₃	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
47. C₁₃×#548	C₂²	semidirect
48. C₁₃×#548	C₂²	semidirect
49. C₁₃×#548	C₂²	semidirect
50. C₁₃×#547	C₂²	semidirect
51. C₁₃×#547	C₂²	semidirect
52. C₁₃×#547	C₂²	semidirect
53. C₁₃×#547	C₂²	semidirect
54. C₁₃×#547	C₂²	semidirect
55. C₁₃×#547	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
60. C₁₃×#546	C₂²	semidirect
61. C₁₃×#546	C₂²	semidirect
65. C₁₃×#544	C₂²	semidirect
66. C₁₃×#544	C₂²	semidirect
67. C₁₃×#543	C₂²	semidirect
68. C₁₃×#542	C₂²	semidirect
69. C₁₃×#542	C₂²	semidirect
70. C₁₃×#542	C₂²	semidirect
71. C₁₃×#541	C₂²	semidirect
72. C₁₃×#540	C₂²	semidirect
73. C₁₃×#540	C₂²	semidirect
74. C₁₃×#539	C₂²	semidirect
75. C₁₃×#539	C₂²	semidirect
76. C₁₃×#539	C₂²	semidirect
77. C₁₃×#538	C₂²	semidirect
78. C₁₃×#538	C₂²	semidirect
80. C₁₃×#537	C₂²	semidirect
81. C₁₃×#537	C₂²	semidirect
82. C₁₃×#537	C₂²	semidirect
83. C₁₃×#537	C₂²	semidirect
84. C₁₃×#537	C₂²	semidirect
85. C₁₃×#537	C₂²	semidirect
86. C₁₃×#537	C₂²	semidirect
87. C₁₃×#537	C₂²	semidirect
88. C₁₃×#536	C₂²	semidirect
89. C₁₃×#536	C₂²	semidirect
90. C₁₃×#533	C₂²	semidirect
91. C₁₃×#533	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
93. C₁₃×#532	C₂²	semidirect
94. C₁₃×#532	C₂²	semidirect
95. C₁₃×#532	C₂²	semidirect
96. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
97. C₁₃×#529	C₂²	semidirect
98. C₁₃×#529	C₂²	semidirect
99. C₂×C₁₃×#125	C₂²	semidirect
100. C₁₃×#525	C₂²	semidirect
101. C₁₃×#525	C₂²	semidirect
102. C₁₃×#525	C₂²	semidirect
103. C₁₃×#525	C₂²	semidirect
104. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
105. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
106. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
107. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
108. C₂×C₁₃×#121	C₂²	semidirect
109. C₂×C₁₃×#121	C₂²	semidirect
110. C₁₃×#520	C₂²	semidirect
112. C₄×C₁₃×#41	C₂²	semidirect
113. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
117. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
300. #62944	C₁₃	direct (N × H)
423. #3559	C₂×C₁₃	semidirect
424. #3548	C₂×C₁₃	semidirect
425. #3547	C₂×C₁₃	semidirect
426. #3541	C₂×C₁₃	semidirect
427. #3536	C₂×C₁₃	semidirect
428. #3536	C₂×C₁₃	semidirect
429. #3519	C₂×C₁₃	semidirect
430. #3519	C₂×C₁₃	semidirect
431. #3511	C₂×C₁₃	semidirect
432. #3501	C₂×C₁₃	semidirect
433. #3497	C₂×C₁₃	semidirect
434. #3492	C₂×C₁₃	semidirect
435. #3489	C₂×C₁₃	semidirect
436. C₂×#554	C₂×C₁₃	semidirect
437. D₄×#41	C₂×C₁₃	semidirect
438. #3461	C₂×C₁₃	semidirect
439. C₂×#537	C₂×C₁₃	semidirect
475. D₄×C₁₃	2₋¹⁺⁴	semidirect
508. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
509. C₂²×#41	C₂²×C₁₃	semidirect
510. #563	C₂²×C₁₃	semidirect
511. #562	C₂²×C₁₃	semidirect
512. #562	C₂²×C₁₃	semidirect
513. #562	C₂²×C₁₃	semidirect
514. #556	C₂²×C₁₃	semidirect
515. #555	C₂²×C₁₃	semidirect
516. #555	C₂²×C₁₃	semidirect
519. #554	C₂²×C₁₃	semidirect
520. #554	C₂²×C₁₃	semidirect
521. #554	C₂²×C₁₃	semidirect
522. #554	C₂²×C₁₃	semidirect
523. #554	C₂²×C₁₃	semidirect
524. #554	C₂²×C₁₃	semidirect
525. #553	C₂²×C₁₃	semidirect
526. #553	C₂²×C₁₃	semidirect
527. #553	C₂²×C₁₃	semidirect
528. #553	C₂²×C₁₃	semidirect
529. #552	C₂²×C₁₃	semidirect
530. #550	C₂²×C₁₃	semidirect
531. #550	C₂²×C₁₃	semidirect
532. #550	C₂²×C₁₃	semidirect
534. D₄×Q₈	C₂²×C₁₃	semidirect
535. D₄×Q₈	C₂²×C₁₃	semidirect
536. #548	C₂²×C₁₃	semidirect
537. #548	C₂²×C₁₃	semidirect
538. #548	C₂²×C₁₃	semidirect
539. #548	C₂²×C₁₃	semidirect
540. #547	C₂²×C₁₃	semidirect
541. #547	C₂²×C₁₃	semidirect
542. #547	C₂²×C₁₃	semidirect
543. #547	C₂²×C₁₃	semidirect
544. #547	C₂²×C₁₃	semidirect
545. #547	C₂²×C₁₃	semidirect
546. #546	C₂²×C₁₃	semidirect
547. #546	C₂²×C₁₃	semidirect
548. #546	C₂²×C₁₃	semidirect
549. #546	C₂²×C₁₃	semidirect
550. #546	C₂²×C₁₃	semidirect
551. #546	C₂²×C₁₃	semidirect
555. #544	C₂²×C₁₃	semidirect
556. #544	C₂²×C₁₃	semidirect
557. #543	C₂²×C₁₃	semidirect
558. #542	C₂²×C₁₃	semidirect
559. #542	C₂²×C₁₃	semidirect
560. #542	C₂²×C₁₃	semidirect
561. #541	C₂²×C₁₃	semidirect
562. #540	C₂²×C₁₃	semidirect
563. #540	C₂²×C₁₃	semidirect
564. #539	C₂²×C₁₃	semidirect
565. #539	C₂²×C₁₃	semidirect
566. #539	C₂²×C₁₃	semidirect
567. #538	C₂²×C₁₃	semidirect
568. #538	C₂²×C₁₃	semidirect
570. #537	C₂²×C₁₃	semidirect
571. #537	C₂²×C₁₃	semidirect
572. #537	C₂²×C₁₃	semidirect
573. #537	C₂²×C₁₃	semidirect
574. #537	C₂²×C₁₃	semidirect
575. #537	C₂²×C₁₃	semidirect
576. #537	C₂²×C₁₃	semidirect
577. #537	C₂²×C₁₃	semidirect
578. #536	C₂²×C₁₃	semidirect
579. #536	C₂²×C₁₃	semidirect
580. #533	C₂²×C₁₃	semidirect
581. #533	C₂²×C₁₃	semidirect
582. #532	C₂²×C₁₃	semidirect
583. #532	C₂²×C₁₃	semidirect
584. #532	C₂²×C₁₃	semidirect
585. #532	C₂²×C₁₃	semidirect
586. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
587. #529	C₂²×C₁₃	semidirect
588. #529	C₂²×C₁₃	semidirect
589. C₂×#125	C₂²×C₁₃	semidirect
590. #525	C₂²×C₁₃	semidirect
591. #525	C₂²×C₁₃	semidirect
592. #525	C₂²×C₁₃	semidirect
593. #525	C₂²×C₁₃	semidirect
594. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
595. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
596. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
597. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
598. C₂×#121	C₂²×C₁₃	semidirect
599. C₂×#121	C₂²×C₁₃	semidirect
600. #520	C₂²×C₁₃	semidirect
602. C₄×#41	C₂²×C₁₃	semidirect
603. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
607. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
950. C₁₃	#62944	direct (N × H)
986. D₄	C₁₃×2₋¹⁺⁴	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3559	2
C₁₃×#3548	2
C₁₃×#3547	2
C₁₃×#3541	2
C₁₃×#3536	2
C₁₃×#3519	2
C₁₃×#3511	2
C₁₃×#3501	2
C₁₃×#3497	2
C₁₃×#3492	2
C₁₃×#3489	2
C₂×C₁₃×#554	2
D₄×C₁₃×#41	2
C₁₃×#3461	2
C₂×C₁₃×#537	2
#62944	13

Subgroups — C13×#62944 #15749283

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62944 #15749283