Subgroups — C₁₃×#62805 #15749144

Order 3328.

7104 conjugacy classes of subgroups.

The subgroup lattice has 1004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3523	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3520	C₂	1	6	yes	maximal, complemented
3	C₁₃×#3518	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3515	C₂	1	6	yes	maximal, complemented
5	C₁₃×#3511	C₂	1	3	yes	maximal, complemented
6	C₁₃×#3509	C₂	1	3	yes	maximal, complemented
7	C₁₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3495	C₂	1	6	yes	maximal, complemented
10	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3482	C₂	1	6	yes	maximal, complemented
12	C₁₃×#3482	C₂	1	2	yes	maximal, complemented
13	Q₈×C₁₃×#41	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3475	C₂	1	6	yes	maximal, complemented
15	C₁₃×#3461	C₂	1	6	yes	maximal, complemented
16	C₁₃×#3444	C₂	1	3	yes	maximal, complemented
17	C₂×C₁₃×#533	C₂	1	3	yes	maximal, complemented
18	C₄×C₁₃×2₋¹⁺⁴	C₂	1	2	yes	maximal, complemented
19	C₂×C₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	—
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
22	Q₈²×C₁₃	C₂²	1	2	yes	complemented
23	C₁₃×#557	C₂²	1	2	yes	complemented
24	C₁₃×#557	C₂²	1	6	yes	complemented
25	C₁₃×#557	C₂²	1	6	yes	complemented
26	C₁₃×#556	C₂²	1	6	yes	complemented
27	C₁₃×#556	C₂²	1	12	yes	complemented
28	C₁₃×#556	C₂²	1	6	yes	complemented
29	C₁₃×#556	C₂²	1	6	yes	complemented
30	C₁₃×#555	C₂²	1	6	yes	complemented
31	C₁₃×#554	C₂²	1	12	yes	—
32	C₁₃×#554	C₂²	1	6	yes	complemented
33	C₁₃×#554	C₂²	1	6	yes	complemented
34	C₁₃×#553	C₂²	1	12	yes	complemented
35	C₁₃×#552	C₂²	1	12	yes	—
36	C₁₃×#552	C₂²	1	12	yes	complemented
37	C₁₃×#552	C₂²	1	12	yes	complemented
38	C₁₃×#552	C₂²	1	12	yes	complemented
39	C₁₃×#552	C₂²	1	24	yes	complemented
40	C₁₃×#551	C₂²	1	24	yes	—
41	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
42	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
43	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
44	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
45	C₁₃×#548	C₂²	1	4	yes	—
46	C₁₃×#548	C₂²	1	12	yes	complemented
47	C₁₃×#547	C₂²	1	12	yes	—
48	C₁₃×#547	C₂²	1	6	yes	complemented
49	C₁₃×#547	C₂²	1	6	yes	complemented
50	C₁₃×#547	C₂²	1	6	yes	complemented
51	C₁₃×#546	C₂²	1	12	yes	—
52	C₁₃×#544	C₂²	1	6	yes	complemented
53	C₁₃×#542	C₂²	1	12	yes	complemented
54	C₁₃×#542	C₂²	1	12	yes	complemented
55	C₁₃×#541	C₂²	1	12	yes	complemented
56	C₁₃×#541	C₂²	1	12	yes	complemented
57	C₁₃×#539	C₂²	1	24	yes	complemented
58	C₁₃×#537	C₂²	1	6	yes	—
59	C₁₃×#536	C₂²	1	6	yes	—
60	C₁₃×#536	C₂²	1	6	yes	complemented
61	C₁₃×#533	C₂²	1	6	yes	—
62	C₁₃×#533	C₂²	1	3	yes	—
63	C₁₃×#533	C₂²	1	6	yes	—
64	C₁₃×#533	C₂²	1	6	yes	—
65	C₁₃×#533	C₂²	1	6	yes	complemented
66	C₁₃×#533	C₂²	1	6	yes	complemented
67	C₁₃×#533	C₂²	1	6	yes	complemented
68	C₁₃×#533	C₂²	1	6	yes	complemented
69	C₁₃×#533	C₂²	1	3	yes	complemented
70	C₁₃×#533	C₂²	1	3	yes	complemented
71	C₁₃×#533	C₂²	1	12	yes	complemented
72	C₁₃×#532	C₂²	1	1	yes	characteristic
73	C₁₃×#532	C₂²	1	3	yes	complemented
74	C₁₃×#532	C₂²	1	3	yes	complemented
75	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
76	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
77	C₁₃×#529	C₂²	1	6	yes	—
78	C₁₃×#529	C₂²	1	6	yes	—
79	C₁₃×#529	C₂²	1	6	yes	complemented
80	C₁₃×#529	C₂²	1	6	yes	complemented
81	C₁₃×#529	C₂²	1	6	yes	complemented
82	C₁₃×#529	C₂²	1	6	yes	complemented
83	C₁₃×#529	C₂²	1	24	yes	complemented
84	C₁₃×#529	C₂²	1	12	yes	complemented
85	C₂×C₁₃×#125	C₂²	1	6	yes	complemented
86	C₁₃×#525	C₂²	1	6	yes	—
87	C₁₃×#525	C₂²	1	6	yes	—
88	C₁₃×#525	C₂²	1	6	yes	—
89	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	6	yes	—
90	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	6	yes	—
91	C₁₃×#520	C₂²	1	2	yes	—
92	C₁₃×#520	C₂²	1	12	yes	complemented
93	C₁₃×#520	C₂²	1	6	yes	complemented
94	C₁₃×#519	C₂²	1	4	yes	complemented
95	C₁₃×#519	C₂²	1	6	yes	complemented
96	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
97	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
98	C₄×C₁₃×#41	C₂²	1	3	yes	—
99	C₄×C₁₃×#41	C₂²	1	3	yes	—
100	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
101	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
102	C₄×C₁₃×#41	C₂²	1	3	yes	—
103	C₄×C₁₃×#41	C₂²	1	3	yes	—
104	C₄×C₁₃×#41	C₂²	1	6	yes	—
105	C₄×C₁₃×#41	C₂²	1	6	yes	complemented
106	C₄×C₁₃×#41	C₂²	1	12	yes	complemented
107	C₄×C₁₃×#41	C₂²	1	6	yes	complemented
108	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
109	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
110	C₂×C₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
111	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
112	C₂×C₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
113	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	—
114	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	—
115	C₂×C₁₃×#117	C₂²	1	3	yes	—
116	C₂×C₁₃×#117	C₂²	1	6	yes	—
117	C₂²×C₄²×C₁₃	C₂²	1	3	yes	—
118	C₁₃×2₋¹⁺⁴	—	2	16	no	—
119	C₂×C₁₃×#41	—	2	8	no	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂×C₁₃×#41	C₂³	1	3	yes	—
122	C₂×C₁₃×#41	C₂³	1	3	yes	—
123	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
124	C₂×C₁₃×#41	C₂³	1	6	yes	—
125	C₂×C₁₃×#41	C₂³	1	12	yes	—
126	C₂×C₁₃×#41	C₂³	1	6	yes	—
127	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
128	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
130	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
131	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
133	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
134	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
135	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
136	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
145	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
147	C₁₃×#127	C₂³	1	1	yes	characteristic
148	C₁₃×#126	C₂³	1	12	yes	—
149	C₁₃×#126	C₂³	1	12	yes	—
150	C₁₃×#126	C₂³	1	24	yes	—
151	C₁₃×#126	C₂³	1	24	yes	—
152	C₁₃×#126	C₂³	1	24	yes	—
153	C₁₃×#125	C₂³	1	6	yes	—
154	C₁₃×#125	C₂³	1	12	yes	—
155	C₁₃×#125	C₂³	1	12	yes	—
156	C₁₃×#125	C₂³	1	12	yes	—
157	C₁₃×#125	C₂³	1	6	yes	—
158	C₁₃×#125	C₂³	1	6	yes	—
159	C₁₃×#125	C₂³	1	24	yes	—
160	C₁₃×#125	C₂³	1	12	yes	—
161	C₁₃×#125	C₂³	1	24	yes	—
162	C₁₃×#124	C₂³	1	6	yes	—
163	C₁₃×#124	C₂³	1	6	yes	—
164	C₁₃×#124	C₂³	1	2	yes	—
165	C₁₃×#124	C₂³	1	12	yes	—
166	C₁₃×#124	C₂³	1	24	yes	—
167	C₁₃×#123	C₂³	1	12	yes	—
168	C₁₃×#123	C₂³	1	12	yes	—
169	C₁₃×#123	C₂³	1	12	yes	—
170	C₁₃×#123	C₂³	1	24	yes	—
171	C₁₃×#123	C₂³	1	24	yes	—
172	C₁₃×#123	C₂³	1	24	yes	—
173	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
174	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
175	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
176	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
177	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
178	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
179	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
180	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
181	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
182	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
183	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
185	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
186	C₁₃×C₂²⋊Q₈	C₂³	1	24	yes	—
187	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
188	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
189	C₁₃×C₂²⋊Q₈	C₂³	1	24	yes	—
190	C₁₃×#121	C₂³	1	2	yes	—
191	C₁₃×#121	C₂³	1	2	yes	—
192	C₁₃×#121	C₂³	1	6	yes	—
193	C₁₃×#121	C₂³	1	6	yes	—
194	C₁₃×#121	C₂³	1	6	yes	—
195	C₁₃×#121	C₂³	1	6	yes	—
196	C₁₃×#121	C₂³	1	24	yes	—
197	C₁₃×#121	C₂³	1	12	yes	—
198	C₁₃×#120	C₂³	1	12	yes	—
199	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
200	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
201	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
202	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
203	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
206	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
207	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
208	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
209	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
210	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
211	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
212	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
213	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
214	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
216	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
217	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
221	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
222	C₄×D₄×C₁₃	C₂³	1	3	yes	—
223	C₄×D₄×C₁₃	C₂³	1	3	yes	—
224	C₄×D₄×C₁₃	C₂³	1	3	yes	—
225	C₄×D₄×C₁₃	C₂³	1	6	yes	—
226	C₄×D₄×C₁₃	C₂³	1	6	yes	—
227	C₄×D₄×C₁₃	C₂³	1	3	yes	—
228	C₄×D₄×C₁₃	C₂³	1	3	yes	—
229	C₄×D₄×C₁₃	C₂³	1	3	yes	—
230	C₄×D₄×C₁₃	C₂³	1	3	yes	—
231	C₄×D₄×C₁₃	C₂³	1	6	yes	—
232	C₄×D₄×C₁₃	C₂³	1	6	yes	—
233	C₄×D₄×C₁₃	C₂³	1	3	yes	—
234	C₄×D₄×C₁₃	C₂³	1	12	yes	—
235	C₄×D₄×C₁₃	C₂³	1	12	yes	—
236	C₄×D₄×C₁₃	C₂³	1	6	yes	—
237	C₄×D₄×C₁₃	C₂³	1	6	yes	—
238	C₄×D₄×C₁₃	C₂³	1	12	yes	—
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	12	yes	—
242	C₄×D₄×C₁₃	C₂³	1	12	yes	—
243	C₄×D₄×C₁₃	C₂³	1	6	yes	—
244	C₄×D₄×C₁₃	C₂³	1	24	yes	—
245	C₄×D₄×C₁₃	C₂³	1	12	yes	—
246	C₄×D₄×C₁₃	C₂³	1	12	yes	—
247	C₄×D₄×C₁₃	C₂³	1	6	yes	—
248	C₁₃×#117	C₂³	1	6	yes	—
249	C₁₃×#117	C₂³	1	3	yes	—
250	C₁₃×#117	C₂³	1	3	yes	—
251	C₁₃×#117	C₂³	1	6	yes	—
252	C₁₃×#117	C₂³	1	3	yes	—
253	C₁₃×#117	C₂³	1	6	yes	—
254	C₁₃×#117	C₂³	1	3	yes	—
255	C₁₃×#117	C₂³	1	12	yes	—
256	C₁₃×#117	C₂³	1	12	yes	—
257	C₁₃×#117	C₂³	1	12	yes	—
258	C₁₃×#117	C₂³	1	12	yes	—
259	C₁₃×#117	C₂³	1	6	yes	—
260	C₁₃×#117	C₂³	1	12	yes	—
261	C₁₃×#117	C₂³	1	24	yes	—
262	C₁₃×#117	C₂³	1	12	yes	—
263	C₁₃×#117	C₂³	1	6	yes	—
264	C₁₃×#117	C₂³	1	12	yes	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
272	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
276	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
278	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
279	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
280	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
281	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
282	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
283	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
284	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
285	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
286	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
287	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
288	C₂×C₄²×C₁₃	C₂³	1	12	yes	—
289	C₂×C₄²×C₁₃	C₂³	1	12	yes	—
290	#62805	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₃	C₂⁴	1	3	yes	—
292	C₁₃×#41	—	2	4	no	—
293	C₁₃×#41	—	2	12	no	—
294	C₁₃×#41	—	2	48	no	—
295	C₁₃×#41	—	2	12	no	—
296	C₁₃×#41	—	2	24	no	—
297	C₁₃×#41	—	2	8	no	—
298	C₁₃×#41	—	4	12	no	—
299	C₁₃×#41	#41	1	8	yes	complemented
300	C₂×Q₈×C₁₃	—	2	4	no	—
301	C₂×Q₈×C₁₃	—	2	16	no	—
302	C₂×Q₈×C₁₃	—	2	24	no	—
303	C₂×Q₈×C₁₃	—	4	12	no	—
304	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
305	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
306	C₂×Q₈×C₁₃	C₂⁴	1	12	yes	—
307	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
308	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
309	C₂×Q₈×C₁₃	C₂⁴	1	12	yes	—
310	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂×D₄×C₁₃	—	2	12	no	—
312	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
313	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
314	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
315	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
316	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
317	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
318	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
321	C₂²×C₄×C₁₃	—	2	12	no	—
322	C₂²×C₄×C₁₃	—	2	12	no	—
323	C₂²×C₄×C₁₃	—	4	6	no	—
324	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
331	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
348	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
349	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
352	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
353	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
354	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
355	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
356	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
357	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
359	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
360	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	24	yes	—
364	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
365	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
366	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
371	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
372	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
373	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
374	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
375	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
376	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
377	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
378	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
381	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
382	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
383	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
384	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
385	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₄²×C₁₃	C₂⁴	1	3	yes	—
388	C₄²×C₁₃	C₂⁴	1	3	yes	—
389	C₄²×C₁₃	C₂⁴	1	3	yes	—
390	C₄²×C₁₃	C₂⁴	1	3	yes	—
391	C₄²×C₁₃	C₂⁴	1	3	yes	—
392	C₄²×C₁₃	C₂⁴	1	3	yes	—
393	C₄²×C₁₃	C₂⁴	1	3	yes	—
394	C₄²×C₁₃	C₂⁴	1	3	yes	—
395	C₄²×C₁₃	C₂⁴	1	3	yes	—
396	C₄²×C₁₃	C₂⁴	1	3	yes	—
397	C₄²×C₁₃	C₂⁴	1	12	yes	—
398	C₄²×C₁₃	C₂⁴	1	24	yes	—
399	C₄²×C₁₃	C₂⁴	1	12	yes	—
400	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₄²×C₁₃	C₂⁴	1	3	yes	—
402	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₄²×C₁₃	C₂⁴	1	3	yes	—
404	C₄²×C₁₃	C₂⁴	1	12	yes	—
405	#3523	C₂×C₁₃	1	2	yes	complemented
406	#3520	C₂×C₁₃	1	6	yes	complemented
407	#3518	C₂×C₁₃	1	2	yes	complemented
408	#3515	C₂×C₁₃	1	6	yes	complemented
409	#3511	C₂×C₁₃	1	3	yes	complemented
410	#3509	C₂×C₁₃	1	3	yes	complemented
411	#3503	C₂×C₁₃	1	1	yes	characteristic, complemented
412	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
413	#3495	C₂×C₁₃	1	6	yes	complemented
414	#3489	C₂×C₁₃	1	2	yes	complemented
415	#3482	C₂×C₁₃	1	6	yes	complemented
416	#3482	C₂×C₁₃	1	2	yes	complemented
417	Q₈×#41	C₂×C₁₃	1	2	yes	complemented
418	#3475	C₂×C₁₃	1	6	yes	complemented
419	#3461	C₂×C₁₃	1	6	yes	complemented
420	#3444	C₂×C₁₃	1	3	yes	complemented
421	C₂×#533	C₂×C₁₃	1	3	yes	complemented
422	C₄×2₋¹⁺⁴	C₂×C₁₃	1	2	yes	complemented
423	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
424	C₂³×C₁₃	—	2	6	no	—
425	C₂³×C₁₃	—	2	6	no	—
426	C₂³×C₁₃	—	4	3	no	—
427	C₂³×C₁₃	C₂⁵	1	3	yes	—
428	C₂³×C₁₃	C₂⁵	1	4	yes	—
429	C₂³×C₁₃	C₂⁵	1	3	yes	—
430	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
431	Q₈×C₁₃	—	2	24	no	—
432	Q₈×C₁₃	—	2	12	no	—
433	Q₈×C₁₃	—	2	6	no	—
434	Q₈×C₁₃	—	2	4	no	—
435	Q₈×C₁₃	—	2	12	no	—
436	Q₈×C₁₃	—	4	12	no	—
437	Q₈×C₁₃	C₂×#41	1	4	yes	—
438	D₄×C₁₃	—	2	12	no	—
439	D₄×C₁₃	—	2	24	no	—
440	D₄×C₁₃	—	2	8	no	—
441	D₄×C₁₃	—	2	6	no	—
442	D₄×C₁₃	—	2	4	no	—
443	D₄×C₁₃	—	2	4	no	—
444	D₄×C₁₃	—	2	4	no	—
445	D₄×C₁₃	—	4	12	no	—
446	D₄×C₁₃	C₂×#41	1	12	yes	—
447	C₂×C₄×C₁₃	—	2	6	no	—
448	C₂×C₄×C₁₃	—	2	24	no	—
449	C₂×C₄×C₁₃	—	2	6	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	2	6	no	—
452	C₂×C₄×C₁₃	—	2	6	no	—
453	C₂×C₄×C₁₃	—	2	6	no	—
454	C₂×C₄×C₁₃	—	2	24	no	—
455	C₂×C₄×C₁₃	—	2	6	no	—
456	C₂×C₄×C₁₃	—	2	6	no	—
457	C₂×C₄×C₁₃	—	2	6	no	—
458	C₂×C₄×C₁₃	—	2	6	no	—
459	C₂×C₄×C₁₃	—	2	8	no	—
460	C₂×C₄×C₁₃	—	2	2	no	—
461	C₂×C₄×C₁₃	—	2	6	no	—
462	C₂×C₄×C₁₃	—	2	6	no	—
463	C₂×C₄×C₁₃	—	4	3	no	—
464	C₂×C₄×C₁₃	—	4	3	no	—
465	C₂×C₄×C₁₃	—	4	3	no	—
466	C₂×C₄×C₁₃	—	4	12	no	—
467	C₂×C₄×C₁₃	—	4	12	no	—
468	C₂×C₄×C₁₃	C₂×#41	1	12	yes	—
469	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	complemented
470	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
471	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
472	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
473	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
474	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
475	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
476	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
477	C₂×C₄×C₁₃	C₂⁵	1	12	yes	—
478	C₂×C₄×C₁₃	C₂⁵	1	12	yes	—
479	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
480	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
481	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
482	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
483	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
484	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
485	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	—
486	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
487	Q₈²	C₂²×C₁₃	1	2	yes	complemented
488	#557	C₂²×C₁₃	1	6	yes	complemented
489	#557	C₂²×C₁₃	1	2	yes	complemented
490	#557	C₂²×C₁₃	1	6	yes	complemented
491	#556	C₂²×C₁₃	1	6	yes	complemented
492	#556	C₂²×C₁₃	1	12	yes	complemented
493	#556	C₂²×C₁₃	1	6	yes	complemented
494	#556	C₂²×C₁₃	1	6	yes	complemented
495	#555	C₂²×C₁₃	1	6	yes	complemented
496	#554	C₂²×C₁₃	1	12	yes	—
497	#554	C₂²×C₁₃	1	6	yes	complemented
498	#554	C₂²×C₁₃	1	6	yes	complemented
499	#553	C₂²×C₁₃	1	12	yes	complemented
500	#552	C₂²×C₁₃	1	12	yes	—
501	#552	C₂²×C₁₃	1	12	yes	complemented
502	#552	C₂²×C₁₃	1	12	yes	complemented
503	#552	C₂²×C₁₃	1	24	yes	complemented
504	#552	C₂²×C₁₃	1	12	yes	complemented
505	#551	C₂²×C₁₃	1	24	yes	—
506	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
507	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
508	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
509	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
510	#548	C₂²×C₁₃	1	4	yes	—
511	#548	C₂²×C₁₃	1	12	yes	complemented
512	#547	C₂²×C₁₃	1	12	yes	—
513	#547	C₂²×C₁₃	1	6	yes	complemented
514	#547	C₂²×C₁₃	1	6	yes	complemented
515	#547	C₂²×C₁₃	1	6	yes	complemented
516	#546	C₂²×C₁₃	1	12	yes	—
517	#544	C₂²×C₁₃	1	6	yes	complemented
518	#542	C₂²×C₁₃	1	12	yes	complemented
519	#542	C₂²×C₁₃	1	12	yes	complemented
520	#541	C₂²×C₁₃	1	12	yes	complemented
521	#541	C₂²×C₁₃	1	12	yes	complemented
522	#539	C₂²×C₁₃	1	24	yes	complemented
523	#537	C₂²×C₁₃	1	6	yes	—
524	#536	C₂²×C₁₃	1	6	yes	—
525	#536	C₂²×C₁₃	1	6	yes	complemented
526	#533	C₂²×C₁₃	1	3	yes	—
527	#533	C₂²×C₁₃	1	6	yes	—
528	#533	C₂²×C₁₃	1	6	yes	—
529	#533	C₂²×C₁₃	1	6	yes	—
530	#533	C₂²×C₁₃	1	6	yes	complemented
531	#533	C₂²×C₁₃	1	6	yes	complemented
532	#533	C₂²×C₁₃	1	6	yes	complemented
533	#533	C₂²×C₁₃	1	6	yes	complemented
534	#533	C₂²×C₁₃	1	3	yes	complemented
535	#533	C₂²×C₁₃	1	3	yes	complemented
536	#533	C₂²×C₁₃	1	12	yes	complemented
537	#532	C₂²×C₁₃	1	1	yes	characteristic
538	#532	C₂²×C₁₃	1	3	yes	complemented
539	#532	C₂²×C₁₃	1	3	yes	complemented
540	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
541	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
542	#529	C₂²×C₁₃	1	6	yes	—
543	#529	C₂²×C₁₃	1	6	yes	—
544	#529	C₂²×C₁₃	1	6	yes	complemented
545	#529	C₂²×C₁₃	1	6	yes	complemented
546	#529	C₂²×C₁₃	1	6	yes	complemented
547	#529	C₂²×C₁₃	1	6	yes	complemented
548	#529	C₂²×C₁₃	1	24	yes	complemented
549	#529	C₂²×C₁₃	1	12	yes	complemented
550	C₂×#125	C₂²×C₁₃	1	6	yes	complemented
551	#525	C₂²×C₁₃	1	6	yes	—
552	#525	C₂²×C₁₃	1	6	yes	—
553	#525	C₂²×C₁₃	1	6	yes	—
554	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	6	yes	—
555	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	6	yes	—
556	#520	C₂²×C₁₃	1	2	yes	—
557	#520	C₂²×C₁₃	1	6	yes	complemented
558	#520	C₂²×C₁₃	1	12	yes	complemented
559	#519	C₂²×C₁₃	1	6	yes	complemented
560	#519	C₂²×C₁₃	1	4	yes	complemented
561	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
562	C₄×#41	C₂²×C₁₃	1	3	yes	—
563	C₄×#41	C₂²×C₁₃	1	3	yes	—
564	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
565	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
566	C₄×#41	C₂²×C₁₃	1	3	yes	—
567	C₄×#41	C₂²×C₁₃	1	3	yes	—
568	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
569	C₄×#41	C₂²×C₁₃	1	6	yes	—
570	C₄×#41	C₂²×C₁₃	1	6	yes	complemented
571	C₄×#41	C₂²×C₁₃	1	12	yes	complemented
572	C₄×#41	C₂²×C₁₃	1	6	yes	complemented
573	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
574	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×C₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
576	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
577	C₂×C₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
578	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	—
579	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	—
580	C₂×#117	C₂²×C₁₃	1	3	yes	—
581	C₂×#117	C₂²×C₁₃	1	6	yes	—
582	C₂²×C₄²	C₂²×C₁₃	1	3	yes	—
583	C₂²×C₁₃	—	2	1	no	—
584	C₂²×C₁₃	—	2	3	no	—
585	C₂²×C₁₃	—	2	3	no	—
586	C₂²×C₁₃	—	2	1	no	—
587	C₂²×C₁₃	—	2	4	no	—
588	C₂²×C₁₃	—	2	3	no	—
589	C₂²×C₁₃	—	2	3	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	3	no	—
592	C₂²×C₁₃	—	2	4	no	—
593	C₂²×C₁₃	—	4	12	no	—
594	C₂²×C₁₃	C₂²×#41	1	6	yes	—
595	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
596	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
597	C₄×C₁₃	—	2	1	no	—
598	C₄×C₁₃	—	2	3	no	—
599	C₄×C₁₃	—	2	12	no	—
600	C₄×C₁₃	—	2	3	no	—
601	C₄×C₁₃	—	2	3	no	—
602	C₄×C₁₃	—	2	4	no	—
603	C₄×C₁₃	—	2	1	no	—
604	C₄×C₁₃	—	2	3	no	—
605	C₄×C₁₃	—	2	3	no	—
606	C₄×C₁₃	—	2	12	no	—
607	C₄×C₁₃	C₂²×#41	1	6	yes	—
608	C₄×C₁₃	C₂²×#41	1	2	yes	—
609	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
610	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
611	C₄×C₁₃	#585	1	2	yes	—
612	2₋¹⁺⁴	—	2	16	no	—
613	C₂×#41	—	2	8	no	—
614	C₂×#41	C₂³×C₁₃	1	2	yes	—
615	C₂×#41	C₂³×C₁₃	1	3	yes	—
616	C₂×#41	C₂³×C₁₃	1	3	yes	—
617	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
618	C₂×#41	C₂³×C₁₃	1	6	yes	—
619	C₂×#41	C₂³×C₁₃	1	12	yes	—
620	C₂×#41	C₂³×C₁₃	1	6	yes	—
621	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
622	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
623	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
624	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
625	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
626	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
627	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
628	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
629	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
630	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
631	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
632	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
633	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
634	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
635	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
636	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
637	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
638	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
639	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
640	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
641	#127	C₂³×C₁₃	1	1	yes	characteristic
642	#126	C₂³×C₁₃	1	12	yes	—
643	#126	C₂³×C₁₃	1	12	yes	—
644	#126	C₂³×C₁₃	1	24	yes	—
645	#126	C₂³×C₁₃	1	24	yes	—
646	#126	C₂³×C₁₃	1	24	yes	—
647	#125	C₂³×C₁₃	1	6	yes	—
648	#125	C₂³×C₁₃	1	12	yes	—
649	#125	C₂³×C₁₃	1	12	yes	—
650	#125	C₂³×C₁₃	1	12	yes	—
651	#125	C₂³×C₁₃	1	6	yes	—
652	#125	C₂³×C₁₃	1	6	yes	—
653	#125	C₂³×C₁₃	1	24	yes	—
654	#125	C₂³×C₁₃	1	12	yes	—
655	#125	C₂³×C₁₃	1	24	yes	—
656	#124	C₂³×C₁₃	1	6	yes	—
657	#124	C₂³×C₁₃	1	6	yes	—
658	#124	C₂³×C₁₃	1	2	yes	—
659	#124	C₂³×C₁₃	1	12	yes	—
660	#124	C₂³×C₁₃	1	24	yes	—
661	#123	C₂³×C₁₃	1	12	yes	—
662	#123	C₂³×C₁₃	1	12	yes	—
663	#123	C₂³×C₁₃	1	12	yes	—
664	#123	C₂³×C₁₃	1	24	yes	—
665	#123	C₂³×C₁₃	1	24	yes	—
666	#123	C₂³×C₁₃	1	24	yes	—
667	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
668	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
669	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
670	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
671	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
672	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
673	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
674	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
675	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
676	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
677	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
678	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
679	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
680	C₂²⋊Q₈	C₂³×C₁₃	1	24	yes	—
681	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
682	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
683	C₂²⋊Q₈	C₂³×C₁₃	1	24	yes	—
684	#121	C₂³×C₁₃	1	2	yes	—
685	#121	C₂³×C₁₃	1	2	yes	—
686	#121	C₂³×C₁₃	1	6	yes	—
687	#121	C₂³×C₁₃	1	6	yes	—
688	#121	C₂³×C₁₃	1	6	yes	—
689	#121	C₂³×C₁₃	1	6	yes	—
690	#121	C₂³×C₁₃	1	24	yes	—
691	#121	C₂³×C₁₃	1	12	yes	—
692	#120	C₂³×C₁₃	1	12	yes	—
693	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
696	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
697	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
698	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
699	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
700	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
701	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
702	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
703	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
704	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
705	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
706	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
707	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
708	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
709	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
710	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
711	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
712	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
713	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
714	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
715	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
716	C₄×D₄	C₂³×C₁₃	1	3	yes	—
717	C₄×D₄	C₂³×C₁₃	1	3	yes	—
718	C₄×D₄	C₂³×C₁₃	1	3	yes	—
719	C₄×D₄	C₂³×C₁₃	1	6	yes	—
720	C₄×D₄	C₂³×C₁₃	1	6	yes	—
721	C₄×D₄	C₂³×C₁₃	1	3	yes	—
722	C₄×D₄	C₂³×C₁₃	1	3	yes	—
723	C₄×D₄	C₂³×C₁₃	1	3	yes	—
724	C₄×D₄	C₂³×C₁₃	1	3	yes	—
725	C₄×D₄	C₂³×C₁₃	1	6	yes	—
726	C₄×D₄	C₂³×C₁₃	1	6	yes	—
727	C₄×D₄	C₂³×C₁₃	1	3	yes	—
728	C₄×D₄	C₂³×C₁₃	1	12	yes	—
729	C₄×D₄	C₂³×C₁₃	1	12	yes	—
730	C₄×D₄	C₂³×C₁₃	1	6	yes	—
731	C₄×D₄	C₂³×C₁₃	1	6	yes	—
732	C₄×D₄	C₂³×C₁₃	1	12	yes	—
733	C₄×D₄	C₂³×C₁₃	1	2	yes	—
734	C₄×D₄	C₂³×C₁₃	1	2	yes	—
735	C₄×D₄	C₂³×C₁₃	1	12	yes	—
736	C₄×D₄	C₂³×C₁₃	1	12	yes	—
737	C₄×D₄	C₂³×C₁₃	1	6	yes	—
738	C₄×D₄	C₂³×C₁₃	1	24	yes	—
739	C₄×D₄	C₂³×C₁₃	1	12	yes	—
740	C₄×D₄	C₂³×C₁₃	1	12	yes	—
741	C₄×D₄	C₂³×C₁₃	1	6	yes	—
742	#117	C₂³×C₁₃	1	6	yes	—
743	#117	C₂³×C₁₃	1	3	yes	—
744	#117	C₂³×C₁₃	1	3	yes	—
745	#117	C₂³×C₁₃	1	6	yes	—
746	#117	C₂³×C₁₃	1	3	yes	—
747	#117	C₂³×C₁₃	1	6	yes	—
748	#117	C₂³×C₁₃	1	3	yes	—
749	#117	C₂³×C₁₃	1	12	yes	—
750	#117	C₂³×C₁₃	1	12	yes	—
751	#117	C₂³×C₁₃	1	12	yes	—
752	#117	C₂³×C₁₃	1	12	yes	—
753	#117	C₂³×C₁₃	1	6	yes	—
754	#117	C₂³×C₁₃	1	12	yes	—
755	#117	C₂³×C₁₃	1	24	yes	—
756	#117	C₂³×C₁₃	1	12	yes	—
757	#117	C₂³×C₁₃	1	6	yes	—
758	#117	C₂³×C₁₃	1	12	yes	—
759	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
760	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
761	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
762	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
763	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
764	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
765	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
766	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
767	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
768	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
770	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
771	C₂×C₄²	C₂³×C₁₃	1	12	yes	—
772	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
773	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
774	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
775	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
776	C₂×C₄²	C₂³×C₁₃	1	12	yes	—
777	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
778	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
779	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
780	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
781	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
782	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
783	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₁₃	—	2	2	no	—
785	C₂×C₁₃	—	2	6	no	—
786	C₂×C₁₃	—	4	4	no	—
787	C₂×C₁₃	—	4	3	no	—
788	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
789	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
790	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
791	C₂⁴	C₂⁴×C₁₃	1	3	yes	—
792	#41	—	2	4	no	—
793	#41	—	2	12	no	—
794	#41	—	2	48	no	—
795	#41	—	2	12	no	—
796	#41	—	2	24	no	—
797	#41	—	2	8	no	—
798	#41	—	4	12	no	—
799	#41	C₁₃×#41	1	8	yes	complemented
800	C₂×Q₈	—	2	4	no	—
801	C₂×Q₈	—	2	16	no	—
802	C₂×Q₈	—	2	24	no	—
803	C₂×Q₈	—	4	12	no	—
804	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
805	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
806	C₂×Q₈	C₂⁴×C₁₃	1	12	yes	—
807	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
808	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
809	C₂×Q₈	C₂⁴×C₁₃	1	12	yes	—
810	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
811	C₂×D₄	—	2	12	no	—
812	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
813	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
814	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
815	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
816	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
817	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
818	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
819	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
820	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
821	C₂²×C₄	—	2	12	no	—
822	C₂²×C₄	—	2	12	no	—
823	C₂²×C₄	—	4	6	no	—
824	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
825	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
828	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
829	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
830	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
831	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
832	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
833	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
834	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
835	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
837	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
838	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
842	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
843	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
844	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
845	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
847	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
848	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
849	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
850	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
851	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
852	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
853	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
854	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
855	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
856	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
857	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
858	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
859	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
860	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
861	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
862	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
863	C₄⋊C₄	C₂⁴×C₁₃	1	24	yes	—
864	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
865	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
866	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
867	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
868	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
869	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
870	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
871	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
872	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
873	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
874	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
875	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
876	C₂²⋊C₄	C₂⁴×C₁₃	1	24	yes	—
877	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
878	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
879	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
880	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
881	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
882	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
883	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
884	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
885	C₄²	C₂⁴×C₁₃	1	3	yes	—
886	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
887	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
889	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
890	C₄²	C₂⁴×C₁₃	1	3	yes	—
891	C₄²	C₂⁴×C₁₃	1	3	yes	—
892	C₄²	C₂⁴×C₁₃	1	3	yes	—
893	C₄²	C₂⁴×C₁₃	1	3	yes	—
894	C₄²	C₂⁴×C₁₃	1	12	yes	—
895	C₄²	C₂⁴×C₁₃	1	3	yes	—
896	C₄²	C₂⁴×C₁₃	1	3	yes	—
897	C₄²	C₂⁴×C₁₃	1	3	yes	—
898	C₄²	C₂⁴×C₁₃	1	3	yes	—
899	C₄²	C₂⁴×C₁₃	1	3	yes	—
900	C₄²	C₂⁴×C₁₃	1	3	yes	—
901	C₄²	C₂⁴×C₁₃	1	3	yes	—
902	C₄²	C₂⁴×C₁₃	1	12	yes	—
903	C₄²	C₂⁴×C₁₃	1	24	yes	—
904	C₄²	C₂⁴×C₁₃	1	12	yes	—
905	C₁₃	#62805	1	1	yes	characteristic, direct product factor, Sylow
906	C₂³	—	2	6	no	—
907	C₂³	—	2	6	no	—
908	C₂³	—	4	3	no	—
909	C₂³	C₂⁵×C₁₃	1	3	yes	—
910	C₂³	C₂⁵×C₁₃	1	4	yes	—
911	C₂³	C₂⁵×C₁₃	1	3	yes	—
912	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
913	Q₈	—	2	24	no	—
914	Q₈	—	2	12	no	—
915	Q₈	—	2	6	no	—
916	Q₈	—	2	4	no	—
917	Q₈	—	2	12	no	—
918	Q₈	—	4	12	no	—
919	Q₈	C₂×C₁₃×#41	1	4	yes	—
920	D₄	—	2	12	no	—
921	D₄	—	2	24	no	—
922	D₄	—	2	8	no	—
923	D₄	—	2	6	no	—
924	D₄	—	2	4	no	—
925	D₄	—	2	4	no	—
926	D₄	—	2	4	no	—
927	D₄	—	4	12	no	—
928	D₄	C₂×C₁₃×#41	1	12	yes	—
929	C₂×C₄	—	2	6	no	—
930	C₂×C₄	—	2	24	no	—
931	C₂×C₄	—	2	6	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	6	no	—
934	C₂×C₄	—	2	6	no	—
935	C₂×C₄	—	2	6	no	—
936	C₂×C₄	—	2	24	no	—
937	C₂×C₄	—	2	6	no	—
938	C₂×C₄	—	2	6	no	—
939	C₂×C₄	—	2	6	no	—
940	C₂×C₄	—	2	6	no	—
941	C₂×C₄	—	2	8	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	6	no	—
944	C₂×C₄	—	2	6	no	—
945	C₂×C₄	—	4	3	no	—
946	C₂×C₄	—	4	3	no	—
947	C₂×C₄	—	4	3	no	—
948	C₂×C₄	—	4	12	no	—
949	C₂×C₄	—	4	12	no	—
950	C₂×C₄	C₂×C₁₃×#41	1	12	yes	—
951	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	complemented
952	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
953	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
954	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
955	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
956	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
957	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
958	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
959	C₂×C₄	C₂⁵×C₁₃	1	12	yes	—
960	C₂×C₄	C₂⁵×C₁₃	1	12	yes	—
961	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
962	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
963	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
964	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
965	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
966	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
967	C₂²	—	2	1	no	—
968	C₂²	—	2	3	no	—
969	C₂²	—	2	3	no	—
970	C₂²	—	2	1	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	3	no	—
973	C₂²	—	2	3	no	—
974	C₂²	—	2	4	no	—
975	C₂²	—	2	3	no	—
976	C₂²	—	2	4	no	—
977	C₂²	—	4	12	no	—
978	C₂²	C₂²×C₁₃×#41	1	6	yes	—
979	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
980	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
981	C₄	—	2	1	no	—
982	C₄	—	2	3	no	—
983	C₄	—	2	12	no	—
984	C₄	—	2	3	no	—
985	C₄	—	2	3	no	—
986	C₄	—	2	4	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	3	no	—
989	C₄	—	2	3	no	—
990	C₄	—	2	12	no	—
991	C₄	C₂²×C₁₃×#41	1	6	yes	—
992	C₄	C₂²×C₁₃×#41	1	2	yes	—
993	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
994	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
995	C₄	C₁₃×#585	1	2	yes	—
996	C₂	—	2	2	no	—
997	C₂	—	2	6	no	—
998	C₂	—	4	3	no	—
999	C₂	—	4	4	no	—
1000	C₂	C₂³×C₁₃×#41	1	1	yes	characteristic
1001	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₂	C₂×C₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
socle	C₂²×C₁₃	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3523	C₂	semidirect
2. C₁₃×#3520	C₂	semidirect
3. C₁₃×#3518	C₂	semidirect
4. C₁₃×#3515	C₂	semidirect
5. C₁₃×#3511	C₂	semidirect
6. C₁₃×#3509	C₂	semidirect
7. C₁₃×#3503	C₂	semidirect
8. C₁₃×#3499	C₂	semidirect
9. C₁₃×#3495	C₂	semidirect
10. C₁₃×#3489	C₂	semidirect
11. C₁₃×#3482	C₂	semidirect
12. C₁₃×#3482	C₂	semidirect
13. Q₈×C₁₃×#41	C₂	semidirect
14. C₁₃×#3475	C₂	semidirect
15. C₁₃×#3461	C₂	semidirect
16. C₁₃×#3444	C₂	semidirect
17. C₂×C₁₃×#533	C₂	semidirect
18. C₄×C₁₃×2₋¹⁺⁴	C₂	semidirect
19. C₂×C₄×C₁₃×#41	C₂	semidirect
22. Q₈²×C₁₃	C₂²	semidirect
23. C₁₃×#557	C₂²	semidirect
24. C₁₃×#557	C₂²	semidirect
25. C₁₃×#557	C₂²	semidirect
26. C₁₃×#556	C₂²	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#555	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
36. C₁₃×#552	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
39. C₁₃×#552	C₂²	semidirect
42. D₄×Q₈×C₁₃	C₂²	semidirect
43. D₄×Q₈×C₁₃	C₂²	semidirect
44. D₄×Q₈×C₁₃	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
48. C₁₃×#547	C₂²	semidirect
49. C₁₃×#547	C₂²	semidirect
50. C₁₃×#547	C₂²	semidirect
52. C₁₃×#544	C₂²	semidirect
53. C₁₃×#542	C₂²	semidirect
54. C₁₃×#542	C₂²	semidirect
55. C₁₃×#541	C₂²	semidirect
56. C₁₃×#541	C₂²	semidirect
57. C₁₃×#539	C₂²	semidirect
60. C₁₃×#536	C₂²	semidirect
65. C₁₃×#533	C₂²	semidirect
66. C₁₃×#533	C₂²	semidirect
67. C₁₃×#533	C₂²	semidirect
68. C₁₃×#533	C₂²	semidirect
69. C₁₃×#533	C₂²	semidirect
70. C₁₃×#533	C₂²	semidirect
71. C₁₃×#533	C₂²	semidirect
73. C₁₃×#532	C₂²	semidirect
74. C₁₃×#532	C₂²	semidirect
75. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
76. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
79. C₁₃×#529	C₂²	semidirect
80. C₁₃×#529	C₂²	semidirect
81. C₁₃×#529	C₂²	semidirect
82. C₁₃×#529	C₂²	semidirect
83. C₁₃×#529	C₂²	semidirect
84. C₁₃×#529	C₂²	semidirect
85. C₂×C₁₃×#125	C₂²	semidirect
92. C₁₃×#520	C₂²	semidirect
93. C₁₃×#520	C₂²	semidirect
94. C₁₃×#519	C₂²	semidirect
95. C₁₃×#519	C₂²	semidirect
105. C₄×C₁₃×#41	C₂²	semidirect
106. C₄×C₁₃×#41	C₂²	semidirect
107. C₄×C₁₃×#41	C₂²	semidirect
110. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
111. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
112. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
290. #62805	C₁₃	direct (N × H)
299. C₁₃×#41	#41	semidirect
405. #3523	C₂×C₁₃	semidirect
406. #3520	C₂×C₁₃	semidirect
407. #3518	C₂×C₁₃	semidirect
408. #3515	C₂×C₁₃	semidirect
409. #3511	C₂×C₁₃	semidirect
410. #3509	C₂×C₁₃	semidirect
411. #3503	C₂×C₁₃	semidirect
412. #3499	C₂×C₁₃	semidirect
413. #3495	C₂×C₁₃	semidirect
414. #3489	C₂×C₁₃	semidirect
415. #3482	C₂×C₁₃	semidirect
416. #3482	C₂×C₁₃	semidirect
417. Q₈×#41	C₂×C₁₃	semidirect
418. #3475	C₂×C₁₃	semidirect
419. #3461	C₂×C₁₃	semidirect
420. #3444	C₂×C₁₃	semidirect
421. C₂×#533	C₂×C₁₃	semidirect
422. C₄×2₋¹⁺⁴	C₂×C₁₃	semidirect
423. C₂×C₄×#41	C₂×C₁₃	semidirect
469. C₂×C₄×C₁₃	2₋¹⁺⁴	semidirect
487. Q₈²	C₂²×C₁₃	semidirect
488. #557	C₂²×C₁₃	semidirect
489. #557	C₂²×C₁₃	semidirect
490. #557	C₂²×C₁₃	semidirect
491. #556	C₂²×C₁₃	semidirect
492. #556	C₂²×C₁₃	semidirect
493. #556	C₂²×C₁₃	semidirect
494. #556	C₂²×C₁₃	semidirect
495. #555	C₂²×C₁₃	semidirect
497. #554	C₂²×C₁₃	semidirect
498. #554	C₂²×C₁₃	semidirect
499. #553	C₂²×C₁₃	semidirect
501. #552	C₂²×C₁₃	semidirect
502. #552	C₂²×C₁₃	semidirect
503. #552	C₂²×C₁₃	semidirect
504. #552	C₂²×C₁₃	semidirect
507. D₄×Q₈	C₂²×C₁₃	semidirect
508. D₄×Q₈	C₂²×C₁₃	semidirect
509. D₄×Q₈	C₂²×C₁₃	semidirect
511. #548	C₂²×C₁₃	semidirect
513. #547	C₂²×C₁₃	semidirect
514. #547	C₂²×C₁₃	semidirect
515. #547	C₂²×C₁₃	semidirect
517. #544	C₂²×C₁₃	semidirect
518. #542	C₂²×C₁₃	semidirect
519. #542	C₂²×C₁₃	semidirect
520. #541	C₂²×C₁₃	semidirect
521. #541	C₂²×C₁₃	semidirect
522. #539	C₂²×C₁₃	semidirect
525. #536	C₂²×C₁₃	semidirect
530. #533	C₂²×C₁₃	semidirect
531. #533	C₂²×C₁₃	semidirect
532. #533	C₂²×C₁₃	semidirect
533. #533	C₂²×C₁₃	semidirect
534. #533	C₂²×C₁₃	semidirect
535. #533	C₂²×C₁₃	semidirect
536. #533	C₂²×C₁₃	semidirect
538. #532	C₂²×C₁₃	semidirect
539. #532	C₂²×C₁₃	semidirect
540. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
541. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
544. #529	C₂²×C₁₃	semidirect
545. #529	C₂²×C₁₃	semidirect
546. #529	C₂²×C₁₃	semidirect
547. #529	C₂²×C₁₃	semidirect
548. #529	C₂²×C₁₃	semidirect
549. #529	C₂²×C₁₃	semidirect
550. C₂×#125	C₂²×C₁₃	semidirect
557. #520	C₂²×C₁₃	semidirect
558. #520	C₂²×C₁₃	semidirect
559. #519	C₂²×C₁₃	semidirect
560. #519	C₂²×C₁₃	semidirect
570. C₄×#41	C₂²×C₁₃	semidirect
571. C₄×#41	C₂²×C₁₃	semidirect
572. C₄×#41	C₂²×C₁₃	semidirect
575. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
576. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
577. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
799. #41	C₁₃×#41	semidirect
905. C₁₃	#62805	direct (N × H)
951. C₂×C₄	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×#3523	2
C₁₃×#3520	2
C₁₃×#3518	2
C₁₃×#3515	2
C₁₃×#3511	2
C₁₃×#3509	2
C₁₃×#3503	2
C₁₃×#3499	2
C₁₃×#3495	2
C₁₃×#3489	2
C₁₃×#3482	2
Q₈×C₁₃×#41	2
C₁₃×#3475	2
C₁₃×#3461	2
C₁₃×#3444	2
C₂×C₁₃×#533	2
C₄×C₁₃×2₋¹⁺⁴	2
C₂×C₄×C₁₃×#41	2
#62805	13

Subgroups — C13×#62805 #15749144

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62805 #15749144