Subgroups — C₁₃×#62810 #15749149

Order 3328.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3524	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3521	C₂	1	6	yes	maximal, complemented
3	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3513	C₂	1	6	yes	maximal, complemented
5	C₁₃×#3512	C₂	1	3	yes	maximal, complemented
6	C₁₃×#3510	C₂	1	3	yes	maximal, complemented
7	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3495	C₂	1	3	yes	maximal, complemented
10	C₁₃×#3494	C₂	1	3	yes	maximal, complemented
11	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3482	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3481	C₂	1	6	yes	maximal, complemented
15	C₁₃×#3480	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3475	C₂	1	6	yes	maximal, complemented
17	C₁₃×#3461	C₂	1	3	yes	maximal, complemented
18	C₁₃×#3460	C₂	1	3	yes	maximal, complemented
19	C₁₃×#3444	C₂	1	3	yes	maximal, complemented
20	C₂×C₁₃×#529	C₂	1	3	yes	maximal, complemented
21	C₄×C₁₃×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
27	C₁₃×#559	C₂²	1	6	yes	complemented
28	C₁₃×#559	C₂²	1	6	yes	complemented
29	C₁₃×#557	C₂²	1	2	yes	complemented
30	C₁₃×#557	C₂²	1	2	yes	complemented
31	C₁₃×#556	C₂²	1	6	yes	complemented
32	C₁₃×#556	C₂²	1	6	yes	complemented
33	C₁₃×#556	C₂²	1	6	yes	complemented
34	C₁₃×#555	C₂²	1	6	yes	complemented
35	C₁₃×#554	C₂²	1	6	yes	complemented
36	C₁₃×#554	C₂²	1	6	yes	complemented
37	C₁₃×#554	C₂²	1	6	yes	complemented
38	C₁₃×#553	C₂²	1	6	yes	complemented
39	C₁₃×#553	C₂²	1	12	yes	complemented
40	C₁₃×#553	C₂²	1	6	yes	complemented
41	C₁₃×#553	C₂²	1	12	yes	complemented
42	C₁₃×#553	C₂²	1	6	yes	complemented
43	C₁₃×#553	C₂²	1	6	yes	complemented
44	C₁₃×#552	C₂²	1	12	yes	complemented
45	C₁₃×#552	C₂²	1	6	yes	complemented
46	C₁₃×#552	C₂²	1	6	yes	complemented
47	C₁₃×#552	C₂²	1	6	yes	complemented
48	C₁₃×#552	C₂²	1	6	yes	complemented
49	C₁₃×#551	C₂²	1	12	yes	complemented
50	C₁₃×#551	C₂²	1	12	yes	complemented
51	C₁₃×#551	C₂²	1	12	yes	complemented
52	C₁₃×#551	C₂²	1	12	yes	complemented
53	C₁₃×#550	C₂²	1	2	yes	—
54	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
55	C₁₃×#548	C₂²	1	2	yes	—
56	C₁₃×#548	C₂²	1	2	yes	complemented
57	C₁₃×#548	C₂²	1	2	yes	complemented
58	C₁₃×#548	C₂²	1	2	yes	complemented
59	C₁₃×#547	C₂²	1	6	yes	complemented
60	C₁₃×#547	C₂²	1	6	yes	complemented
61	C₁₃×#546	C₂²	1	6	yes	—
62	C₁₃×#546	C₂²	1	6	yes	complemented
63	C₁₃×#546	C₂²	1	6	yes	complemented
64	C₁₃×#546	C₂²	1	6	yes	complemented
65	C₁₃×#546	C₂²	1	12	yes	complemented
66	D₄²×C₁₃	C₂²	1	6	yes	—
67	C₁₃×#544	C₂²	1	3	yes	complemented
68	C₁₃×#544	C₂²	1	3	yes	complemented
69	C₁₃×#542	C₂²	1	6	yes	complemented
70	C₁₃×#542	C₂²	1	6	yes	complemented
71	C₁₃×#542	C₂²	1	6	yes	complemented
72	C₁₃×#542	C₂²	1	6	yes	complemented
73	C₁₃×#541	C₂²	1	6	yes	complemented
74	C₁₃×#541	C₂²	1	6	yes	complemented
75	C₁₃×#540	C₂²	1	6	yes	complemented
76	C₁₃×#540	C₂²	1	6	yes	complemented
77	C₁₃×#539	C₂²	1	12	yes	complemented
78	C₁₃×#538	C₂²	1	12	yes	complemented
79	C₁₃×#537	C₂²	1	3	yes	—
80	C₁₃×#537	C₂²	1	3	yes	complemented
81	C₁₃×#536	C₂²	1	3	yes	complemented
82	C₁₃×#536	C₂²	1	3	yes	complemented
83	C₁₃×#535	C₂²	1	3	yes	—
84	C₁₃×#535	C₂²	1	3	yes	complemented
85	C₁₃×#533	C₂²	1	3	yes	complemented
86	C₁₃×#533	C₂²	1	3	yes	complemented
87	C₁₃×#533	C₂²	1	3	yes	complemented
88	C₁₃×#533	C₂²	1	6	yes	complemented
89	C₁₃×#532	C₂²	1	3	yes	complemented
90	C₁₃×#532	C₂²	1	3	yes	complemented
91	C₁₃×#532	C₂²	1	3	yes	complemented
92	C₁₃×#532	C₂²	1	6	yes	complemented
93	C₁₃×#529	C₂²	1	6	yes	complemented
94	C₁₃×#529	C₂²	1	6	yes	complemented
95	C₁₃×#529	C₂²	1	6	yes	complemented
96	C₁₃×#529	C₂²	1	3	yes	complemented
97	C₁₃×#529	C₂²	1	6	yes	complemented
98	C₁₃×#529	C₂²	1	6	yes	complemented
99	C₁₃×#529	C₂²	1	6	yes	complemented
100	C₁₃×#529	C₂²	1	6	yes	complemented
101	C₁₃×#529	C₂²	1	6	yes	complemented
102	C₁₃×#529	C₂²	1	6	yes	complemented
103	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#529	C₂²	1	6	yes	complemented
105	C₁₃×#529	C₂²	1	3	yes	complemented
106	C₁₃×#529	C₂²	1	3	yes	complemented
107	C₁₃×#529	C₂²	1	6	yes	complemented
108	C₁₃×#529	C₂²	1	6	yes	complemented
109	C₁₃×#529	C₂²	1	12	yes	complemented
110	C₁₃×#529	C₂²	1	6	yes	complemented
111	C₂×C₁₃×#126	C₂²	1	6	yes	complemented
112	C₂×C₁₃×#125	C₂²	1	3	yes	complemented
113	C₂×C₁₃×#124	C₂²	1	3	yes	complemented
114	C₁₃×#525	C₂²	1	3	yes	—
115	C₁₃×#525	C₂²	1	6	yes	complemented
116	C₁₃×#525	C₂²	1	3	yes	complemented
117	C₁₃×#525	C₂²	1	6	yes	complemented
118	C₁₃×#525	C₂²	1	12	yes	complemented
119	C₂×C₁₃×#123	C₂²	1	6	yes	complemented
120	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	3	yes	complemented
121	C₂×C₁₃×#121	C₂²	1	3	yes	—
122	C₁₃×#520	C₂²	1	1	yes	characteristic
123	C₁₃×#520	C₂²	1	1	yes	characteristic
124	C₁₃×#520	C₂²	1	6	yes	complemented
125	C₁₃×#520	C₂²	1	2	yes	complemented
126	C₁₃×#520	C₂²	1	3	yes	complemented
127	C₁₃×#520	C₂²	1	3	yes	complemented
128	C₁₃×#519	C₂²	1	2	yes	complemented
129	C₁₃×#519	C₂²	1	3	yes	complemented
130	C₁₃×#518	C₂²	1	6	yes	complemented
131	C₁₃×#518	C₂²	1	3	yes	complemented
132	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
133	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
134	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
135	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
137	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
138	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
140	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
141	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
142	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
143	C₄×C₁₃×#41	C₂²	1	6	yes	complemented
144	C₄×C₁₃×#41	C₂²	1	6	yes	complemented
145	C₄×C₁₃×#41	C₂²	1	6	yes	complemented
146	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
147	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄×Q₈×C₁₃	C₂²	1	3	yes	complemented
149	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
150	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	complemented
151	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	complemented
152	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	complemented
153	C₂×C₄×D₄×C₁₃	C₂²	1	6	yes	complemented
154	C₂×C₄×D₄×C₁₃	C₂²	1	6	yes	complemented
155	C₂×C₁₃×#117	C₂²	1	3	yes	complemented
156	C₂×C₁₃×#117	C₂²	1	6	yes	complemented
157	C₂²×C₄²×C₁₃	C₂²	1	3	yes	complemented
158	C₁₃×2₋¹⁺⁴	—	2	8	no	—
159	C₁₃×H(5,𝔽₂)	—	2	8	no	—
160	C₂×C₁₃×#41	—	2	8	no	—
161	C₂×C₁₃×#41	C₂³	1	3	yes	—
162	C₂×C₁₃×#41	C₂³	1	3	yes	—
163	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×#41	C₂³	1	3	yes	—
165	C₂×C₁₃×#41	C₂³	1	3	yes	—
166	C₂×C₁₃×#41	C₂³	1	6	yes	—
167	C₂×C₁₃×#41	C₂³	1	2	yes	—
168	C₂×C₁₃×#41	C₂³	1	6	yes	—
169	C₂×C₁₃×#41	C₂³	1	6	yes	—
170	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
171	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
173	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
174	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
175	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
176	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
177	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
178	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
179	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
180	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
181	C₂³×C₄×C₁₃	C₂³	1	6	yes	—
182	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
183	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
184	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
188	C₁₃×#127	C₂³	1	3	yes	—
189	C₁₃×#127	C₂³	1	6	yes	—
190	C₁₃×#126	C₂³	1	6	yes	—
191	C₁₃×#126	C₂³	1	12	yes	—
192	C₁₃×#126	C₂³	1	12	yes	—
193	C₁₃×#126	C₂³	1	12	yes	—
194	C₁₃×#126	C₂³	1	2	yes	—
195	C₁₃×#126	C₂³	1	6	yes	—
196	C₁₃×#126	C₂³	1	6	yes	—
197	C₁₃×#126	C₂³	1	12	yes	—
198	C₁₃×#126	C₂³	1	12	yes	—
199	C₁₃×#126	C₂³	1	12	yes	—
200	C₁₃×#126	C₂³	1	12	yes	—
201	C₁₃×#125	C₂³	1	3	yes	—
202	C₁₃×#125	C₂³	1	6	yes	—
203	C₁₃×#125	C₂³	1	6	yes	—
204	C₁₃×#125	C₂³	1	6	yes	—
205	C₁₃×#125	C₂³	1	1	yes	characteristic
206	C₁₃×#125	C₂³	1	6	yes	—
207	C₁₃×#125	C₂³	1	6	yes	—
208	C₁₃×#125	C₂³	1	6	yes	—
209	C₁₃×#125	C₂³	1	12	yes	—
210	C₁₃×#125	C₂³	1	6	yes	—
211	C₁₃×#125	C₂³	1	12	yes	—
212	C₁₃×#124	C₂³	1	3	yes	—
213	C₁₃×#124	C₂³	1	6	yes	—
214	C₁₃×#124	C₂³	1	6	yes	—
215	C₁₃×#124	C₂³	1	6	yes	—
216	C₁₃×#124	C₂³	1	1	yes	characteristic
217	C₁₃×#124	C₂³	1	6	yes	—
218	C₁₃×#124	C₂³	1	6	yes	—
219	C₁₃×#124	C₂³	1	6	yes	—
220	C₁₃×#124	C₂³	1	6	yes	—
221	C₁₃×#124	C₂³	1	12	yes	—
222	C₁₃×#124	C₂³	1	12	yes	—
223	C₁₃×#123	C₂³	1	6	yes	—
224	C₁₃×#123	C₂³	1	12	yes	—
225	C₁₃×#123	C₂³	1	12	yes	—
226	C₁₃×#123	C₂³	1	12	yes	—
227	C₁₃×#123	C₂³	1	6	yes	—
228	C₁₃×#123	C₂³	1	2	yes	—
229	C₁₃×#123	C₂³	1	6	yes	—
230	C₁₃×#123	C₂³	1	6	yes	—
231	C₁₃×#123	C₂³	1	6	yes	—
232	C₁₃×#123	C₂³	1	12	yes	—
233	C₁₃×#123	C₂³	1	12	yes	—
234	C₁₃×#123	C₂³	1	12	yes	—
235	C₁₃×#123	C₂³	1	12	yes	—
236	C₁₃×#123	C₂³	1	12	yes	—
237	C₁₃×#123	C₂³	1	12	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
247	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
251	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
257	C₁₃×#121	C₂³	1	3	yes	—
258	C₁₃×#121	C₂³	1	6	yes	—
259	C₁₃×#121	C₂³	1	6	yes	—
260	C₁₃×#121	C₂³	1	6	yes	—
261	C₁₃×#121	C₂³	1	3	yes	—
262	C₁₃×#121	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	3	yes	—
264	C₁₃×#121	C₂³	1	6	yes	—
265	C₁₃×#121	C₂³	1	6	yes	—
266	C₁₃×#121	C₂³	1	6	yes	—
267	C₁₃×#121	C₂³	1	6	yes	—
268	C₁₃×#121	C₂³	1	12	yes	—
269	C₁₃×#121	C₂³	1	12	yes	—
270	C₁₃×#121	C₂³	1	6	yes	—
271	C₁₃×#121	C₂³	1	12	yes	—
272	C₁₃×#121	C₂³	1	6	yes	—
273	C₁₃×#121	C₂³	1	6	yes	—
274	C₁₃×#121	C₂³	1	6	yes	—
275	C₁₃×#121	C₂³	1	12	yes	—
276	C₁₃×#120	C₂³	1	6	yes	—
277	C₁₃×#120	C₂³	1	6	yes	—
278	C₁₃×#120	C₂³	1	12	yes	—
279	C₁₃×#120	C₂³	1	12	yes	—
280	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
282	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
283	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
287	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
288	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
289	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
290	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
291	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
292	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
293	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
294	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
295	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
296	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
297	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
298	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
299	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
300	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
301	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
302	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
303	C₄×D₄×C₁₃	C₂³	1	3	yes	—
304	C₄×D₄×C₁₃	C₂³	1	6	yes	—
305	C₄×D₄×C₁₃	C₂³	1	6	yes	—
306	C₄×D₄×C₁₃	C₂³	1	3	yes	—
307	C₄×D₄×C₁₃	C₂³	1	6	yes	—
308	C₄×D₄×C₁₃	C₂³	1	3	yes	—
309	C₄×D₄×C₁₃	C₂³	1	3	yes	—
310	C₄×D₄×C₁₃	C₂³	1	3	yes	—
311	C₄×D₄×C₁₃	C₂³	1	6	yes	—
312	C₄×D₄×C₁₃	C₂³	1	3	yes	—
313	C₄×D₄×C₁₃	C₂³	1	6	yes	—
314	C₄×D₄×C₁₃	C₂³	1	3	yes	—
315	C₄×D₄×C₁₃	C₂³	1	6	yes	—
316	C₄×D₄×C₁₃	C₂³	1	6	yes	—
317	C₄×D₄×C₁₃	C₂³	1	3	yes	—
318	C₄×D₄×C₁₃	C₂³	1	3	yes	—
319	C₄×D₄×C₁₃	C₂³	1	6	yes	—
320	C₄×D₄×C₁₃	C₂³	1	6	yes	—
321	C₄×D₄×C₁₃	C₂³	1	6	yes	—
322	C₄×D₄×C₁₃	C₂³	1	12	yes	—
323	C₄×D₄×C₁₃	C₂³	1	6	yes	—
324	C₄×D₄×C₁₃	C₂³	1	12	yes	—
325	C₄×D₄×C₁₃	C₂³	1	12	yes	—
326	C₄×D₄×C₁₃	C₂³	1	12	yes	—
327	C₄×D₄×C₁₃	C₂³	1	6	yes	—
328	C₄×D₄×C₁₃	C₂³	1	2	yes	—
329	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₁₃	C₂³	1	6	yes	—
331	C₄×D₄×C₁₃	C₂³	1	3	yes	—
332	C₄×D₄×C₁₃	C₂³	1	6	yes	—
333	C₄×D₄×C₁₃	C₂³	1	6	yes	—
334	C₄×D₄×C₁₃	C₂³	1	6	yes	—
335	C₄×D₄×C₁₃	C₂³	1	3	yes	—
336	C₄×D₄×C₁₃	C₂³	1	12	yes	—
337	C₄×D₄×C₁₃	C₂³	1	6	yes	—
338	C₄×D₄×C₁₃	C₂³	1	6	yes	—
339	C₄×D₄×C₁₃	C₂³	1	6	yes	—
340	C₄×D₄×C₁₃	C₂³	1	6	yes	—
341	C₄×D₄×C₁₃	C₂³	1	6	yes	—
342	C₄×D₄×C₁₃	C₂³	1	6	yes	—
343	C₄×D₄×C₁₃	C₂³	1	6	yes	—
344	C₄×D₄×C₁₃	C₂³	1	6	yes	—
345	C₄×D₄×C₁₃	C₂³	1	6	yes	—
346	C₄×D₄×C₁₃	C₂³	1	6	yes	—
347	C₁₃×#117	C₂³	1	6	yes	—
348	C₁₃×#117	C₂³	1	3	yes	—
349	C₁₃×#117	C₂³	1	3	yes	—
350	C₁₃×#117	C₂³	1	6	yes	—
351	C₁₃×#117	C₂³	1	6	yes	—
352	C₁₃×#117	C₂³	1	3	yes	—
353	C₁₃×#117	C₂³	1	3	yes	—
354	C₁₃×#117	C₂³	1	12	yes	—
355	C₁₃×#117	C₂³	1	12	yes	—
356	C₁₃×#117	C₂³	1	12	yes	—
357	C₁₃×#117	C₂³	1	2	yes	—
358	C₁₃×#117	C₂³	1	3	yes	—
359	C₁₃×#117	C₂³	1	6	yes	—
360	C₁₃×#117	C₂³	1	6	yes	—
361	C₁₃×#117	C₂³	1	3	yes	—
362	C₁₃×#117	C₂³	1	6	yes	—
363	C₁₃×#117	C₂³	1	12	yes	—
364	C₁₃×#117	C₂³	1	6	yes	—
365	C₁₃×#117	C₂³	1	6	yes	—
366	C₁₃×#117	C₂³	1	6	yes	—
367	C₁₃×#117	C₂³	1	6	yes	—
368	C₁₃×#117	C₂³	1	6	yes	—
369	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
370	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
371	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
372	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
373	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
374	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
375	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
376	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
377	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
378	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
379	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
380	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
381	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
382	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
383	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
384	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
385	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
386	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
387	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
388	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
389	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
390	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
391	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
392	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
393	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
394	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
395	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
396	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
397	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
398	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
399	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
400	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
401	#62810	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
402	C₂⁴×C₁₃	C₂⁴	1	3	yes	—
403	C₂⁴×C₁₃	C₂⁴	1	6	yes	—
404	C₁₃×#41	—	2	4	no	—
405	C₁₃×#41	—	2	8	no	—
406	C₁₃×#41	—	2	12	no	—
407	C₁₃×#41	—	2	24	no	—
408	C₁₃×#41	—	2	12	no	—
409	C₁₃×#41	—	2	12	no	—
410	C₁₃×#41	—	2	12	no	—
411	C₁₃×#41	—	4	12	no	—
412	C₁₃×#41	—	4	12	no	—
413	C₁₃×#41	#41	1	8	yes	complemented
414	C₂×Q₈×C₁₃	—	2	4	no	—
415	C₂×Q₈×C₁₃	—	2	8	no	—
416	C₂×Q₈×C₁₃	—	2	12	no	—
417	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
418	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
419	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
420	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
422	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
423	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×D₄×C₁₃	—	2	12	no	—
425	C₂×D₄×C₁₃	—	2	24	no	—
426	C₂×D₄×C₁₃	—	2	12	no	—
427	C₂×D₄×C₁₃	—	4	12	no	—
428	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
429	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
430	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
431	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
432	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
433	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
434	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
435	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
440	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
441	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
442	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
443	C₂²×C₄×C₁₃	—	2	12	no	—
444	C₂²×C₄×C₁₃	—	4	6	no	—
445	C₂²×C₄×C₁₃	—	4	12	no	—
446	C₂²×C₄×C₁₃	—	4	6	no	—
447	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
450	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
451	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
452	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
453	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
454	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
455	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
456	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
457	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
460	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
462	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
463	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
464	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
465	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
467	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
471	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
475	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
477	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
478	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
480	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
481	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
482	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
483	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
495	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
497	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
499	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
502	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
504	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
505	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
506	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
507	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
508	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
509	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
510	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
511	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
512	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
513	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
514	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
515	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
518	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
519	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
520	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
521	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
522	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
526	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
528	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
529	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
530	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
531	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
532	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
533	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
534	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₄²×C₁₃	C₂⁴	1	3	yes	—
537	C₄²×C₁₃	C₂⁴	1	3	yes	—
538	C₄²×C₁₃	C₂⁴	1	3	yes	—
539	C₄²×C₁₃	C₂⁴	1	3	yes	—
540	C₄²×C₁₃	C₂⁴	1	3	yes	—
541	C₄²×C₁₃	C₂⁴	1	3	yes	—
542	C₄²×C₁₃	C₂⁴	1	3	yes	—
543	C₄²×C₁₃	C₂⁴	1	3	yes	—
544	C₄²×C₁₃	C₂⁴	1	3	yes	—
545	C₄²×C₁₃	C₂⁴	1	3	yes	—
546	C₄²×C₁₃	C₂⁴	1	6	yes	—
547	C₄²×C₁₃	C₂⁴	1	12	yes	—
548	C₄²×C₁₃	C₂⁴	1	6	yes	—
549	C₄²×C₁₃	C₂⁴	1	6	yes	—
550	C₄²×C₁₃	C₂⁴	1	6	yes	—
551	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₄²×C₁₃	C₂⁴	1	3	yes	—
554	C₄²×C₁₃	C₂⁴	1	6	yes	—
555	C₄²×C₁₃	C₂⁴	1	2	yes	—
556	C₄²×C₁₃	C₂⁴	1	3	yes	—
557	#3524	C₂×C₁₃	1	2	yes	complemented
558	#3521	C₂×C₁₃	1	6	yes	complemented
559	#3516	C₂×C₁₃	1	2	yes	complemented
560	#3513	C₂×C₁₃	1	6	yes	complemented
561	#3512	C₂×C₁₃	1	3	yes	complemented
562	#3510	C₂×C₁₃	1	3	yes	complemented
563	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#3495	C₂×C₁₃	1	3	yes	complemented
566	#3494	C₂×C₁₃	1	3	yes	complemented
567	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#3482	C₂×C₁₃	1	2	yes	complemented
570	#3481	C₂×C₁₃	1	6	yes	complemented
571	#3480	C₂×C₁₃	1	2	yes	complemented
572	#3475	C₂×C₁₃	1	6	yes	complemented
573	#3461	C₂×C₁₃	1	3	yes	complemented
574	#3460	C₂×C₁₃	1	3	yes	complemented
575	#3444	C₂×C₁₃	1	3	yes	complemented
576	C₂×#529	C₂×C₁₃	1	3	yes	complemented
577	C₄×2₋¹⁺⁴	C₂×C₁₃	1	1	yes	characteristic, complemented
578	C₄×H(5,𝔽₂)	C₂×C₁₃	1	1	yes	characteristic, complemented
579	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
580	C₂³×C₁₃	—	2	6	no	—
581	C₂³×C₁₃	—	2	6	no	—
582	C₂³×C₁₃	—	2	12	no	—
583	C₂³×C₁₃	—	4	3	no	—
584	C₂³×C₁₃	—	4	6	no	—
585	C₂³×C₁₃	—	4	6	no	—
586	C₂³×C₁₃	C₂⁵	1	6	yes	—
587	C₂³×C₁₃	C₂⁵	1	3	yes	—
588	C₂³×C₁₃	C₂⁵	1	2	yes	—
589	C₂³×C₁₃	C₂⁵	1	3	yes	—
590	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
591	Q₈×C₁₃	—	2	12	no	—
592	Q₈×C₁₃	—	2	6	no	—
593	Q₈×C₁₃	—	2	6	no	—
594	Q₈×C₁₃	—	2	2	no	—
595	Q₈×C₁₃	—	4	6	no	—
596	Q₈×C₁₃	—	4	6	no	—
597	Q₈×C₁₃	C₂×#41	1	4	yes	—
598	D₄×C₁₃	—	2	12	no	—
599	D₄×C₁₃	—	2	12	no	—
600	D₄×C₁₃	—	2	12	no	—
601	D₄×C₁₃	—	2	12	no	—
602	D₄×C₁₃	—	2	4	no	—
603	D₄×C₁₃	—	2	12	no	—
604	D₄×C₁₃	—	2	6	no	—
605	D₄×C₁₃	—	2	6	no	—
606	D₄×C₁₃	—	2	2	no	—
607	D₄×C₁₃	—	4	12	no	—
608	D₄×C₁₃	—	4	6	no	—
609	D₄×C₁₃	—	4	6	no	—
610	D₄×C₁₃	—	4	6	no	—
611	D₄×C₁₃	—	4	6	no	—
612	D₄×C₁₃	C₂×#41	1	12	yes	—
613	C₂×C₄×C₁₃	—	2	6	no	—
614	C₂×C₄×C₁₃	—	2	12	no	—
615	C₂×C₄×C₁₃	—	2	2	no	—
616	C₂×C₄×C₁₃	—	2	6	no	—
617	C₂×C₄×C₁₃	—	2	2	no	—
618	C₂×C₄×C₁₃	—	2	6	no	—
619	C₂×C₄×C₁₃	—	2	6	no	—
620	C₂×C₄×C₁₃	—	2	6	no	—
621	C₂×C₄×C₁₃	—	2	12	no	—
622	C₂×C₄×C₁₃	—	2	12	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	6	no	—
625	C₂×C₄×C₁₃	—	2	12	no	—
626	C₂×C₄×C₁₃	—	2	6	no	—
627	C₂×C₄×C₁₃	—	2	4	no	—
628	C₂×C₄×C₁₃	—	4	3	no	—
629	C₂×C₄×C₁₃	—	4	3	no	—
630	C₂×C₄×C₁₃	—	4	3	no	—
631	C₂×C₄×C₁₃	—	4	12	no	—
632	C₂×C₄×C₁₃	—	4	3	no	—
633	C₂×C₄×C₁₃	—	4	3	no	—
634	C₂×C₄×C₁₃	—	4	3	no	—
635	C₂×C₄×C₁₃	—	4	3	no	—
636	C₂×C₄×C₁₃	—	4	6	no	—
637	C₂×C₄×C₁₃	—	4	6	no	—
638	C₂×C₄×C₁₃	—	4	6	no	—
639	C₂×C₄×C₁₃	—	4	6	no	—
640	C₂×C₄×C₁₃	C₂×#41	1	12	yes	—
641	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
642	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
643	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
644	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
645	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
646	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
647	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
648	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
649	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
650	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
651	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
652	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
653	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
654	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
655	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
656	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
657	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
658	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
659	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
660	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
661	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
662	#559	C₂²×C₁₃	1	6	yes	complemented
663	#559	C₂²×C₁₃	1	6	yes	complemented
664	#557	C₂²×C₁₃	1	2	yes	complemented
665	#557	C₂²×C₁₃	1	2	yes	complemented
666	#556	C₂²×C₁₃	1	6	yes	complemented
667	#556	C₂²×C₁₃	1	6	yes	complemented
668	#556	C₂²×C₁₃	1	6	yes	complemented
669	#555	C₂²×C₁₃	1	6	yes	complemented
670	#554	C₂²×C₁₃	1	6	yes	complemented
671	#554	C₂²×C₁₃	1	6	yes	complemented
672	#554	C₂²×C₁₃	1	6	yes	complemented
673	#553	C₂²×C₁₃	1	12	yes	complemented
674	#553	C₂²×C₁₃	1	6	yes	complemented
675	#553	C₂²×C₁₃	1	6	yes	complemented
676	#553	C₂²×C₁₃	1	6	yes	complemented
677	#553	C₂²×C₁₃	1	12	yes	complemented
678	#553	C₂²×C₁₃	1	6	yes	complemented
679	#552	C₂²×C₁₃	1	12	yes	complemented
680	#552	C₂²×C₁₃	1	6	yes	complemented
681	#552	C₂²×C₁₃	1	6	yes	complemented
682	#552	C₂²×C₁₃	1	6	yes	complemented
683	#552	C₂²×C₁₃	1	6	yes	complemented
684	#551	C₂²×C₁₃	1	12	yes	complemented
685	#551	C₂²×C₁₃	1	12	yes	complemented
686	#551	C₂²×C₁₃	1	12	yes	complemented
687	#551	C₂²×C₁₃	1	12	yes	complemented
688	#550	C₂²×C₁₃	1	2	yes	—
689	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
690	#548	C₂²×C₁₃	1	2	yes	—
691	#548	C₂²×C₁₃	1	2	yes	complemented
692	#548	C₂²×C₁₃	1	2	yes	complemented
693	#548	C₂²×C₁₃	1	2	yes	complemented
694	#547	C₂²×C₁₃	1	6	yes	complemented
695	#547	C₂²×C₁₃	1	6	yes	complemented
696	#546	C₂²×C₁₃	1	6	yes	—
697	#546	C₂²×C₁₃	1	6	yes	complemented
698	#546	C₂²×C₁₃	1	6	yes	complemented
699	#546	C₂²×C₁₃	1	12	yes	complemented
700	#546	C₂²×C₁₃	1	6	yes	complemented
701	D₄²	C₂²×C₁₃	1	6	yes	—
702	#544	C₂²×C₁₃	1	3	yes	complemented
703	#544	C₂²×C₁₃	1	3	yes	complemented
704	#542	C₂²×C₁₃	1	6	yes	complemented
705	#542	C₂²×C₁₃	1	6	yes	complemented
706	#542	C₂²×C₁₃	1	6	yes	complemented
707	#542	C₂²×C₁₃	1	6	yes	complemented
708	#541	C₂²×C₁₃	1	6	yes	complemented
709	#541	C₂²×C₁₃	1	6	yes	complemented
710	#540	C₂²×C₁₃	1	6	yes	complemented
711	#540	C₂²×C₁₃	1	6	yes	complemented
712	#539	C₂²×C₁₃	1	12	yes	complemented
713	#538	C₂²×C₁₃	1	12	yes	complemented
714	#537	C₂²×C₁₃	1	3	yes	—
715	#537	C₂²×C₁₃	1	3	yes	complemented
716	#536	C₂²×C₁₃	1	3	yes	complemented
717	#536	C₂²×C₁₃	1	3	yes	complemented
718	#535	C₂²×C₁₃	1	3	yes	—
719	#535	C₂²×C₁₃	1	3	yes	complemented
720	#533	C₂²×C₁₃	1	3	yes	complemented
721	#533	C₂²×C₁₃	1	3	yes	complemented
722	#533	C₂²×C₁₃	1	3	yes	complemented
723	#533	C₂²×C₁₃	1	6	yes	complemented
724	#532	C₂²×C₁₃	1	3	yes	complemented
725	#532	C₂²×C₁₃	1	3	yes	complemented
726	#532	C₂²×C₁₃	1	3	yes	complemented
727	#532	C₂²×C₁₃	1	6	yes	complemented
728	#529	C₂²×C₁₃	1	3	yes	complemented
729	#529	C₂²×C₁₃	1	6	yes	complemented
730	#529	C₂²×C₁₃	1	6	yes	complemented
731	#529	C₂²×C₁₃	1	6	yes	complemented
732	#529	C₂²×C₁₃	1	6	yes	complemented
733	#529	C₂²×C₁₃	1	6	yes	complemented
734	#529	C₂²×C₁₃	1	6	yes	complemented
735	#529	C₂²×C₁₃	1	6	yes	complemented
736	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#529	C₂²×C₁₃	1	6	yes	complemented
738	#529	C₂²×C₁₃	1	3	yes	complemented
739	#529	C₂²×C₁₃	1	3	yes	complemented
740	#529	C₂²×C₁₃	1	6	yes	complemented
741	#529	C₂²×C₁₃	1	6	yes	complemented
742	#529	C₂²×C₁₃	1	6	yes	complemented
743	#529	C₂²×C₁₃	1	6	yes	complemented
744	#529	C₂²×C₁₃	1	12	yes	complemented
745	#529	C₂²×C₁₃	1	6	yes	complemented
746	C₂×#126	C₂²×C₁₃	1	6	yes	complemented
747	C₂×#125	C₂²×C₁₃	1	3	yes	complemented
748	C₂×#124	C₂²×C₁₃	1	3	yes	complemented
749	#525	C₂²×C₁₃	1	3	yes	—
750	#525	C₂²×C₁₃	1	6	yes	complemented
751	#525	C₂²×C₁₃	1	3	yes	complemented
752	#525	C₂²×C₁₃	1	6	yes	complemented
753	#525	C₂²×C₁₃	1	12	yes	complemented
754	C₂×#123	C₂²×C₁₃	1	6	yes	complemented
755	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
756	C₂×#121	C₂²×C₁₃	1	3	yes	—
757	#520	C₂²×C₁₃	1	1	yes	characteristic
758	#520	C₂²×C₁₃	1	1	yes	characteristic
759	#520	C₂²×C₁₃	1	3	yes	complemented
760	#520	C₂²×C₁₃	1	2	yes	complemented
761	#520	C₂²×C₁₃	1	3	yes	complemented
762	#520	C₂²×C₁₃	1	6	yes	complemented
763	#519	C₂²×C₁₃	1	3	yes	complemented
764	#519	C₂²×C₁₃	1	2	yes	complemented
765	#518	C₂²×C₁₃	1	3	yes	complemented
766	#518	C₂²×C₁₃	1	6	yes	complemented
767	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
768	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
769	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
770	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
771	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
773	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
774	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
776	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
777	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
778	C₄×#41	C₂²×C₁₃	1	6	yes	complemented
779	C₄×#41	C₂²×C₁₃	1	6	yes	complemented
780	C₄×#41	C₂²×C₁₃	1	6	yes	complemented
781	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	C₂×C₄×Q₈	C₂²×C₁₃	1	3	yes	complemented
784	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
785	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	complemented
786	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	complemented
787	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	complemented
788	C₂×C₄×D₄	C₂²×C₁₃	1	6	yes	complemented
789	C₂×C₄×D₄	C₂²×C₁₃	1	6	yes	complemented
790	C₂×#117	C₂²×C₁₃	1	3	yes	complemented
791	C₂×#117	C₂²×C₁₃	1	6	yes	complemented
792	C₂²×C₄²	C₂²×C₁₃	1	3	yes	complemented
793	C₂²×C₁₃	—	2	1	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	3	no	—
796	C₂²×C₁₃	—	2	3	no	—
797	C₂²×C₁₃	—	2	2	no	—
798	C₂²×C₁₃	—	2	3	no	—
799	C₂²×C₁₃	—	2	6	no	—
800	C₂²×C₁₃	—	2	6	no	—
801	C₂²×C₁₃	—	2	3	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	3	no	—
805	C₂²×C₁₃	—	2	6	no	—
806	C₂²×C₁₃	—	4	12	no	—
807	C₂²×C₁₃	—	8	12	no	—
808	C₂²×C₁₃	C₂²×#41	1	6	yes	—
809	C₂²×C₁₃	#585	1	2	yes	—
810	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
811	C₄×C₁₃	—	2	1	no	—
812	C₄×C₁₃	—	2	2	no	—
813	C₄×C₁₃	—	2	3	no	—
814	C₄×C₁₃	—	2	6	no	—
815	C₄×C₁₃	—	2	1	no	—
816	C₄×C₁₃	—	2	1	no	—
817	C₄×C₁₃	—	2	3	no	—
818	C₄×C₁₃	—	2	1	no	—
819	C₄×C₁₃	—	2	3	no	—
820	C₄×C₁₃	—	2	6	no	—
821	C₄×C₁₃	—	2	3	no	—
822	C₄×C₁₃	—	2	3	no	—
823	C₄×C₁₃	—	2	2	no	—
824	C₄×C₁₃	—	2	6	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	C₂²×#41	1	6	yes	—
827	C₄×C₁₃	C₂²×#41	1	2	yes	—
828	C₄×C₁₃	#585	1	2	yes	—
829	2₋¹⁺⁴	—	2	8	no	—
830	H(5,𝔽₂)	—	2	8	no	—
831	C₂×#41	—	2	8	no	—
832	C₂×#41	C₂³×C₁₃	1	3	yes	—
833	C₂×#41	C₂³×C₁₃	1	3	yes	—
834	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×#41	C₂³×C₁₃	1	3	yes	—
836	C₂×#41	C₂³×C₁₃	1	3	yes	—
837	C₂×#41	C₂³×C₁₃	1	6	yes	—
838	C₂×#41	C₂³×C₁₃	1	2	yes	—
839	C₂×#41	C₂³×C₁₃	1	6	yes	—
840	C₂×#41	C₂³×C₁₃	1	6	yes	—
841	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
843	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
844	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
845	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
846	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
847	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
848	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
849	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
850	C₂³×C₄	C₂³×C₁₃	1	6	yes	—
851	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
852	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
853	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
854	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
855	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
856	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
857	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
858	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
859	#127	C₂³×C₁₃	1	3	yes	—
860	#127	C₂³×C₁₃	1	6	yes	—
861	#126	C₂³×C₁₃	1	6	yes	—
862	#126	C₂³×C₁₃	1	12	yes	—
863	#126	C₂³×C₁₃	1	12	yes	—
864	#126	C₂³×C₁₃	1	12	yes	—
865	#126	C₂³×C₁₃	1	2	yes	—
866	#126	C₂³×C₁₃	1	6	yes	—
867	#126	C₂³×C₁₃	1	6	yes	—
868	#126	C₂³×C₁₃	1	12	yes	—
869	#126	C₂³×C₁₃	1	12	yes	—
870	#126	C₂³×C₁₃	1	12	yes	—
871	#126	C₂³×C₁₃	1	12	yes	—
872	#125	C₂³×C₁₃	1	3	yes	—
873	#125	C₂³×C₁₃	1	6	yes	—
874	#125	C₂³×C₁₃	1	6	yes	—
875	#125	C₂³×C₁₃	1	6	yes	—
876	#125	C₂³×C₁₃	1	1	yes	characteristic
877	#125	C₂³×C₁₃	1	6	yes	—
878	#125	C₂³×C₁₃	1	6	yes	—
879	#125	C₂³×C₁₃	1	6	yes	—
880	#125	C₂³×C₁₃	1	12	yes	—
881	#125	C₂³×C₁₃	1	6	yes	—
882	#125	C₂³×C₁₃	1	12	yes	—
883	#124	C₂³×C₁₃	1	3	yes	—
884	#124	C₂³×C₁₃	1	6	yes	—
885	#124	C₂³×C₁₃	1	6	yes	—
886	#124	C₂³×C₁₃	1	6	yes	—
887	#124	C₂³×C₁₃	1	1	yes	characteristic
888	#124	C₂³×C₁₃	1	6	yes	—
889	#124	C₂³×C₁₃	1	6	yes	—
890	#124	C₂³×C₁₃	1	6	yes	—
891	#124	C₂³×C₁₃	1	6	yes	—
892	#124	C₂³×C₁₃	1	12	yes	—
893	#124	C₂³×C₁₃	1	12	yes	—
894	#123	C₂³×C₁₃	1	6	yes	—
895	#123	C₂³×C₁₃	1	12	yes	—
896	#123	C₂³×C₁₃	1	12	yes	—
897	#123	C₂³×C₁₃	1	12	yes	—
898	#123	C₂³×C₁₃	1	6	yes	—
899	#123	C₂³×C₁₃	1	2	yes	—
900	#123	C₂³×C₁₃	1	6	yes	—
901	#123	C₂³×C₁₃	1	6	yes	—
902	#123	C₂³×C₁₃	1	6	yes	—
903	#123	C₂³×C₁₃	1	12	yes	—
904	#123	C₂³×C₁₃	1	12	yes	—
905	#123	C₂³×C₁₃	1	12	yes	—
906	#123	C₂³×C₁₃	1	12	yes	—
907	#123	C₂³×C₁₃	1	12	yes	—
908	#123	C₂³×C₁₃	1	12	yes	—
909	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
910	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
911	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
912	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
913	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
914	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
915	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
916	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
917	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
918	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
919	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
920	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
921	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
922	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
923	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
924	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
925	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
926	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
927	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
928	#121	C₂³×C₁₃	1	3	yes	—
929	#121	C₂³×C₁₃	1	6	yes	—
930	#121	C₂³×C₁₃	1	6	yes	—
931	#121	C₂³×C₁₃	1	6	yes	—
932	#121	C₂³×C₁₃	1	3	yes	—
933	#121	C₂³×C₁₃	1	1	yes	characteristic
934	#121	C₂³×C₁₃	1	3	yes	—
935	#121	C₂³×C₁₃	1	6	yes	—
936	#121	C₂³×C₁₃	1	6	yes	—
937	#121	C₂³×C₁₃	1	6	yes	—
938	#121	C₂³×C₁₃	1	6	yes	—
939	#121	C₂³×C₁₃	1	12	yes	—
940	#121	C₂³×C₁₃	1	12	yes	—
941	#121	C₂³×C₁₃	1	6	yes	—
942	#121	C₂³×C₁₃	1	12	yes	—
943	#121	C₂³×C₁₃	1	6	yes	—
944	#121	C₂³×C₁₃	1	6	yes	—
945	#121	C₂³×C₁₃	1	6	yes	—
946	#121	C₂³×C₁₃	1	12	yes	—
947	#120	C₂³×C₁₃	1	6	yes	—
948	#120	C₂³×C₁₃	1	6	yes	—
949	#120	C₂³×C₁₃	1	12	yes	—
950	#120	C₂³×C₁₃	1	12	yes	—
951	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
952	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
953	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
954	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
955	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
956	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
957	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
958	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
959	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
960	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
961	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
962	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
963	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
964	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
965	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
966	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
967	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
968	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
969	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
970	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
971	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
972	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
973	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
974	C₄×D₄	C₂³×C₁₃	1	3	yes	—
975	C₄×D₄	C₂³×C₁₃	1	6	yes	—
976	C₄×D₄	C₂³×C₁₃	1	6	yes	—
977	C₄×D₄	C₂³×C₁₃	1	3	yes	—
978	C₄×D₄	C₂³×C₁₃	1	6	yes	—
979	C₄×D₄	C₂³×C₁₃	1	3	yes	—
980	C₄×D₄	C₂³×C₁₃	1	3	yes	—
981	C₄×D₄	C₂³×C₁₃	1	3	yes	—
982	C₄×D₄	C₂³×C₁₃	1	6	yes	—
983	C₄×D₄	C₂³×C₁₃	1	3	yes	—
984	C₄×D₄	C₂³×C₁₃	1	6	yes	—
985	C₄×D₄	C₂³×C₁₃	1	3	yes	—
986	C₄×D₄	C₂³×C₁₃	1	6	yes	—
987	C₄×D₄	C₂³×C₁₃	1	6	yes	—
988	C₄×D₄	C₂³×C₁₃	1	3	yes	—
989	C₄×D₄	C₂³×C₁₃	1	3	yes	—
990	C₄×D₄	C₂³×C₁₃	1	6	yes	—
991	C₄×D₄	C₂³×C₁₃	1	6	yes	—
992	C₄×D₄	C₂³×C₁₃	1	6	yes	—
993	C₄×D₄	C₂³×C₁₃	1	12	yes	—
994	C₄×D₄	C₂³×C₁₃	1	6	yes	—
995	C₄×D₄	C₂³×C₁₃	1	12	yes	—
996	C₄×D₄	C₂³×C₁₃	1	12	yes	—
997	C₄×D₄	C₂³×C₁₃	1	12	yes	—
998	C₄×D₄	C₂³×C₁₃	1	6	yes	—
999	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1000	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1002	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1003	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1004	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1005	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1006	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1007	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1008	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1009	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1010	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1011	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1012	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1013	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1014	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1015	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1016	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1017	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1018	#117	C₂³×C₁₃	1	6	yes	—
1019	#117	C₂³×C₁₃	1	3	yes	—
1020	#117	C₂³×C₁₃	1	3	yes	—
1021	#117	C₂³×C₁₃	1	6	yes	—
1022	#117	C₂³×C₁₃	1	6	yes	—
1023	#117	C₂³×C₁₃	1	3	yes	—
1024	#117	C₂³×C₁₃	1	3	yes	—
1025	#117	C₂³×C₁₃	1	12	yes	—
1026	#117	C₂³×C₁₃	1	12	yes	—
1027	#117	C₂³×C₁₃	1	12	yes	—
1028	#117	C₂³×C₁₃	1	2	yes	—
1029	#117	C₂³×C₁₃	1	3	yes	—
1030	#117	C₂³×C₁₃	1	6	yes	—
1031	#117	C₂³×C₁₃	1	6	yes	—
1032	#117	C₂³×C₁₃	1	3	yes	—
1033	#117	C₂³×C₁₃	1	6	yes	—
1034	#117	C₂³×C₁₃	1	12	yes	—
1035	#117	C₂³×C₁₃	1	6	yes	—
1036	#117	C₂³×C₁₃	1	6	yes	—
1037	#117	C₂³×C₁₃	1	6	yes	—
1038	#117	C₂³×C₁₃	1	6	yes	—
1039	#117	C₂³×C₁₃	1	6	yes	—
1040	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1041	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1042	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1043	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1044	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1045	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1046	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1047	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1048	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1049	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1050	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1051	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1052	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1053	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1054	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
1055	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1056	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1057	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1058	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1059	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
1060	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1061	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1062	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1063	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
1064	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
1065	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1066	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1067	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1068	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1069	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1070	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1071	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×C₁₃	—	2	2	no	—
1073	C₂×C₁₃	—	2	6	no	—
1074	C₂×C₁₃	—	4	2	no	—
1075	C₂×C₁₃	—	4	3	no	—
1076	C₂×C₁₃	—	4	6	no	—
1077	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1078	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1079	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1080	C₂⁴	C₂⁴×C₁₃	1	3	yes	—
1081	C₂⁴	C₂⁴×C₁₃	1	6	yes	—
1082	#41	—	2	4	no	—
1083	#41	—	2	8	no	—
1084	#41	—	2	12	no	—
1085	#41	—	2	24	no	—
1086	#41	—	2	12	no	—
1087	#41	—	2	12	no	—
1088	#41	—	2	12	no	—
1089	#41	—	4	12	no	—
1090	#41	—	4	12	no	—
1091	#41	C₁₃×#41	1	8	yes	complemented
1092	C₂×Q₈	—	2	4	no	—
1093	C₂×Q₈	—	2	8	no	—
1094	C₂×Q₈	—	2	12	no	—
1095	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1096	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1097	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1098	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1099	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1100	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1101	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1102	C₂×D₄	—	2	12	no	—
1103	C₂×D₄	—	2	24	no	—
1104	C₂×D₄	—	2	12	no	—
1105	C₂×D₄	—	4	12	no	—
1106	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1107	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1108	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1109	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1110	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1111	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1112	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1113	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1114	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1116	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1117	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1118	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1119	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1120	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1121	C₂²×C₄	—	2	12	no	—
1122	C₂²×C₄	—	4	6	no	—
1123	C₂²×C₄	—	4	12	no	—
1124	C₂²×C₄	—	4	6	no	—
1125	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1126	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1130	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1131	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1132	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1133	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1134	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1135	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1136	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1137	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1138	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1139	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1140	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1141	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1142	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1143	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1144	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1145	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1146	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1147	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1148	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1149	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1150	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1152	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1153	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1154	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1155	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1156	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1157	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1158	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1159	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1160	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1161	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1162	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1163	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1164	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1165	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1166	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1167	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1170	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1171	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1172	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1173	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1174	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1175	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1177	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1178	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1179	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1180	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1181	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1182	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1183	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1184	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1185	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1186	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1187	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1188	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1189	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1190	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1192	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1193	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1194	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1195	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1197	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1198	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1199	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1200	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1201	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1202	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1203	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1204	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1205	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1206	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1207	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1208	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1209	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1210	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1211	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1212	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1213	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1214	C₄²	C₂⁴×C₁₃	1	3	yes	—
1215	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1216	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1217	C₄²	C₂⁴×C₁₃	1	3	yes	—
1218	C₄²	C₂⁴×C₁₃	1	3	yes	—
1219	C₄²	C₂⁴×C₁₃	1	3	yes	—
1220	C₄²	C₂⁴×C₁₃	1	6	yes	—
1221	C₄²	C₂⁴×C₁₃	1	2	yes	—
1222	C₄²	C₂⁴×C₁₃	1	3	yes	—
1223	C₄²	C₂⁴×C₁₃	1	3	yes	—
1224	C₄²	C₂⁴×C₁₃	1	3	yes	—
1225	C₄²	C₂⁴×C₁₃	1	3	yes	—
1226	C₄²	C₂⁴×C₁₃	1	3	yes	—
1227	C₄²	C₂⁴×C₁₃	1	3	yes	—
1228	C₄²	C₂⁴×C₁₃	1	3	yes	—
1229	C₄²	C₂⁴×C₁₃	1	3	yes	—
1230	C₄²	C₂⁴×C₁₃	1	6	yes	—
1231	C₄²	C₂⁴×C₁₃	1	12	yes	—
1232	C₄²	C₂⁴×C₁₃	1	6	yes	—
1233	C₄²	C₂⁴×C₁₃	1	6	yes	—
1234	C₄²	C₂⁴×C₁₃	1	6	yes	—
1235	C₁₃	#62810	1	1	yes	characteristic, direct product factor, Sylow
1236	C₂³	—	2	6	no	—
1237	C₂³	—	2	6	no	—
1238	C₂³	—	2	12	no	—
1239	C₂³	—	4	3	no	—
1240	C₂³	—	4	6	no	—
1241	C₂³	—	4	6	no	—
1242	C₂³	C₂⁵×C₁₃	1	6	yes	—
1243	C₂³	C₂⁵×C₁₃	1	3	yes	—
1244	C₂³	C₂⁵×C₁₃	1	2	yes	—
1245	C₂³	C₂⁵×C₁₃	1	3	yes	—
1246	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1247	Q₈	—	2	12	no	—
1248	Q₈	—	2	6	no	—
1249	Q₈	—	2	6	no	—
1250	Q₈	—	2	2	no	—
1251	Q₈	—	4	6	no	—
1252	Q₈	—	4	6	no	—
1253	Q₈	C₂×C₁₃×#41	1	4	yes	—
1254	D₄	—	2	12	no	—
1255	D₄	—	2	12	no	—
1256	D₄	—	2	12	no	—
1257	D₄	—	2	12	no	—
1258	D₄	—	2	4	no	—
1259	D₄	—	2	12	no	—
1260	D₄	—	2	6	no	—
1261	D₄	—	2	6	no	—
1262	D₄	—	2	2	no	—
1263	D₄	—	4	12	no	—
1264	D₄	—	4	6	no	—
1265	D₄	—	4	6	no	—
1266	D₄	—	4	6	no	—
1267	D₄	—	4	6	no	—
1268	D₄	C₂×C₁₃×#41	1	12	yes	—
1269	C₂×C₄	—	2	6	no	—
1270	C₂×C₄	—	2	12	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	6	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	6	no	—
1275	C₂×C₄	—	2	6	no	—
1276	C₂×C₄	—	2	6	no	—
1277	C₂×C₄	—	2	12	no	—
1278	C₂×C₄	—	2	12	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	6	no	—
1281	C₂×C₄	—	2	12	no	—
1282	C₂×C₄	—	2	6	no	—
1283	C₂×C₄	—	2	4	no	—
1284	C₂×C₄	—	4	3	no	—
1285	C₂×C₄	—	4	3	no	—
1286	C₂×C₄	—	4	3	no	—
1287	C₂×C₄	—	4	12	no	—
1288	C₂×C₄	—	4	3	no	—
1289	C₂×C₄	—	4	3	no	—
1290	C₂×C₄	—	4	3	no	—
1291	C₂×C₄	—	4	3	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	—	4	6	no	—
1295	C₂×C₄	—	4	6	no	—
1296	C₂×C₄	C₂×C₁₃×#41	1	12	yes	—
1297	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1298	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1299	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1300	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1301	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1302	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1303	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1304	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1305	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1306	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1307	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1308	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1309	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1310	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1311	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1312	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1313	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1314	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1315	C₂²	—	2	1	no	—
1316	C₂²	—	2	1	no	—
1317	C₂²	—	2	3	no	—
1318	C₂²	—	2	3	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	3	no	—
1321	C₂²	—	2	6	no	—
1322	C₂²	—	2	6	no	—
1323	C₂²	—	2	3	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	3	no	—
1327	C₂²	—	2	6	no	—
1328	C₂²	—	4	12	no	—
1329	C₂²	—	8	12	no	—
1330	C₂²	C₂²×C₁₃×#41	1	6	yes	—
1331	C₂²	C₁₃×#585	1	2	yes	—
1332	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1333	C₄	—	2	1	no	—
1334	C₄	—	2	2	no	—
1335	C₄	—	2	3	no	—
1336	C₄	—	2	6	no	—
1337	C₄	—	2	1	no	—
1338	C₄	—	2	1	no	—
1339	C₄	—	2	3	no	—
1340	C₄	—	2	1	no	—
1341	C₄	—	2	3	no	—
1342	C₄	—	2	6	no	—
1343	C₄	—	2	3	no	—
1344	C₄	—	2	3	no	—
1345	C₄	—	2	2	no	—
1346	C₄	—	2	6	no	—
1347	C₄	—	2	2	no	—
1348	C₄	C₂²×C₁₃×#41	1	6	yes	—
1349	C₄	C₂²×C₁₃×#41	1	2	yes	—
1350	C₄	C₁₃×#585	1	2	yes	—
1351	C₂	—	2	2	no	—
1352	C₂	—	2	6	no	—
1353	C₂	—	4	3	no	—
1354	C₂	—	4	6	no	—
1355	C₂	—	4	2	no	—
1356	C₂	C₂³×C₁₃×#41	1	1	yes	characteristic
1357	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1358	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×#3524	C₂	semidirect
2. C₁₃×#3521	C₂	semidirect
3. C₁₃×#3516	C₂	semidirect
4. C₁₃×#3513	C₂	semidirect
5. C₁₃×#3512	C₂	semidirect
6. C₁₃×#3510	C₂	semidirect
7. C₁₃×#3504	C₂	semidirect
8. C₁₃×#3500	C₂	semidirect
9. C₁₃×#3495	C₂	semidirect
10. C₁₃×#3494	C₂	semidirect
11. C₁₃×#3489	C₂	semidirect
12. C₁₃×#3488	C₂	semidirect
13. C₁₃×#3482	C₂	semidirect
14. C₁₃×#3481	C₂	semidirect
15. C₁₃×#3480	C₂	semidirect
16. C₁₃×#3475	C₂	semidirect
17. C₁₃×#3461	C₂	semidirect
18. C₁₃×#3460	C₂	semidirect
19. C₁₃×#3444	C₂	semidirect
20. C₂×C₁₃×#529	C₂	semidirect
21. C₄×C₁₃×2₋¹⁺⁴	C₂	semidirect
22. C₄×C₁₃×H(5,𝔽₂)	C₂	semidirect
23. C₂×C₄×C₁₃×#41	C₂	semidirect
27. C₁₃×#559	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#556	C₂²	semidirect
33. C₁₃×#556	C₂²	semidirect
34. C₁₃×#555	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
39. C₁₃×#553	C₂²	semidirect
40. C₁₃×#553	C₂²	semidirect
41. C₁₃×#553	C₂²	semidirect
42. C₁₃×#553	C₂²	semidirect
43. C₁₃×#553	C₂²	semidirect
44. C₁₃×#552	C₂²	semidirect
45. C₁₃×#552	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
49. C₁₃×#551	C₂²	semidirect
50. C₁₃×#551	C₂²	semidirect
51. C₁₃×#551	C₂²	semidirect
52. C₁₃×#551	C₂²	semidirect
54. D₄×Q₈×C₁₃	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
57. C₁₃×#548	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
59. C₁₃×#547	C₂²	semidirect
60. C₁₃×#547	C₂²	semidirect
62. C₁₃×#546	C₂²	semidirect
63. C₁₃×#546	C₂²	semidirect
64. C₁₃×#546	C₂²	semidirect
65. C₁₃×#546	C₂²	semidirect
67. C₁₃×#544	C₂²	semidirect
68. C₁₃×#544	C₂²	semidirect
69. C₁₃×#542	C₂²	semidirect
70. C₁₃×#542	C₂²	semidirect
71. C₁₃×#542	C₂²	semidirect
72. C₁₃×#542	C₂²	semidirect
73. C₁₃×#541	C₂²	semidirect
74. C₁₃×#541	C₂²	semidirect
75. C₁₃×#540	C₂²	semidirect
76. C₁₃×#540	C₂²	semidirect
77. C₁₃×#539	C₂²	semidirect
78. C₁₃×#538	C₂²	semidirect
80. C₁₃×#537	C₂²	semidirect
81. C₁₃×#536	C₂²	semidirect
82. C₁₃×#536	C₂²	semidirect
84. C₁₃×#535	C₂²	semidirect
85. C₁₃×#533	C₂²	semidirect
86. C₁₃×#533	C₂²	semidirect
87. C₁₃×#533	C₂²	semidirect
88. C₁₃×#533	C₂²	semidirect
89. C₁₃×#532	C₂²	semidirect
90. C₁₃×#532	C₂²	semidirect
91. C₁₃×#532	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
93. C₁₃×#529	C₂²	semidirect
94. C₁₃×#529	C₂²	semidirect
95. C₁₃×#529	C₂²	semidirect
96. C₁₃×#529	C₂²	semidirect
97. C₁₃×#529	C₂²	semidirect
98. C₁₃×#529	C₂²	semidirect
99. C₁₃×#529	C₂²	semidirect
100. C₁₃×#529	C₂²	semidirect
101. C₁₃×#529	C₂²	semidirect
102. C₁₃×#529	C₂²	semidirect
103. C₁₃×#529	C₂²	semidirect
104. C₁₃×#529	C₂²	semidirect
105. C₁₃×#529	C₂²	semidirect
106. C₁₃×#529	C₂²	semidirect
107. C₁₃×#529	C₂²	semidirect
108. C₁₃×#529	C₂²	semidirect
109. C₁₃×#529	C₂²	semidirect
110. C₁₃×#529	C₂²	semidirect
111. C₂×C₁₃×#126	C₂²	semidirect
112. C₂×C₁₃×#125	C₂²	semidirect
113. C₂×C₁₃×#124	C₂²	semidirect
115. C₁₃×#525	C₂²	semidirect
116. C₁₃×#525	C₂²	semidirect
117. C₁₃×#525	C₂²	semidirect
118. C₁₃×#525	C₂²	semidirect
119. C₂×C₁₃×#123	C₂²	semidirect
120. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
124. C₁₃×#520	C₂²	semidirect
125. C₁₃×#520	C₂²	semidirect
126. C₁₃×#520	C₂²	semidirect
127. C₁₃×#520	C₂²	semidirect
128. C₁₃×#519	C₂²	semidirect
129. C₁₃×#519	C₂²	semidirect
130. C₁₃×#518	C₂²	semidirect
131. C₁₃×#518	C₂²	semidirect
134. C₄×C₁₃×#41	C₂²	semidirect
135. C₄×C₁₃×#41	C₂²	semidirect
136. C₄×C₁₃×#41	C₂²	semidirect
137. C₄×C₁₃×#41	C₂²	semidirect
138. C₄×C₁₃×#41	C₂²	semidirect
139. C₄×C₁₃×#41	C₂²	semidirect
140. C₄×C₁₃×#41	C₂²	semidirect
141. C₄×C₁₃×#41	C₂²	semidirect
142. C₄×C₁₃×#41	C₂²	semidirect
143. C₄×C₁₃×#41	C₂²	semidirect
144. C₄×C₁₃×#41	C₂²	semidirect
145. C₄×C₁₃×#41	C₂²	semidirect
146. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
147. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
148. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
149. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
150. C₂×C₄×D₄×C₁₃	C₂²	semidirect
151. C₂×C₄×D₄×C₁₃	C₂²	semidirect
152. C₂×C₄×D₄×C₁₃	C₂²	semidirect
153. C₂×C₄×D₄×C₁₃	C₂²	semidirect
154. C₂×C₄×D₄×C₁₃	C₂²	semidirect
155. C₂×C₁₃×#117	C₂²	semidirect
156. C₂×C₁₃×#117	C₂²	semidirect
157. C₂²×C₄²×C₁₃	C₂²	semidirect
401. #62810	C₁₃	direct (N × H)
413. C₁₃×#41	#41	semidirect
557. #3524	C₂×C₁₃	semidirect
558. #3521	C₂×C₁₃	semidirect
559. #3516	C₂×C₁₃	semidirect
560. #3513	C₂×C₁₃	semidirect
561. #3512	C₂×C₁₃	semidirect
562. #3510	C₂×C₁₃	semidirect
563. #3504	C₂×C₁₃	semidirect
564. #3500	C₂×C₁₃	semidirect
565. #3495	C₂×C₁₃	semidirect
566. #3494	C₂×C₁₃	semidirect
567. #3489	C₂×C₁₃	semidirect
568. #3488	C₂×C₁₃	semidirect
569. #3482	C₂×C₁₃	semidirect
570. #3481	C₂×C₁₃	semidirect
571. #3480	C₂×C₁₃	semidirect
572. #3475	C₂×C₁₃	semidirect
573. #3461	C₂×C₁₃	semidirect
574. #3460	C₂×C₁₃	semidirect
575. #3444	C₂×C₁₃	semidirect
576. C₂×#529	C₂×C₁₃	semidirect
577. C₄×2₋¹⁺⁴	C₂×C₁₃	semidirect
578. C₄×H(5,𝔽₂)	C₂×C₁₃	semidirect
579. C₂×C₄×#41	C₂×C₁₃	semidirect
662. #559	C₂²×C₁₃	semidirect
663. #559	C₂²×C₁₃	semidirect
664. #557	C₂²×C₁₃	semidirect
665. #557	C₂²×C₁₃	semidirect
666. #556	C₂²×C₁₃	semidirect
667. #556	C₂²×C₁₃	semidirect
668. #556	C₂²×C₁₃	semidirect
669. #555	C₂²×C₁₃	semidirect
670. #554	C₂²×C₁₃	semidirect
671. #554	C₂²×C₁₃	semidirect
672. #554	C₂²×C₁₃	semidirect
673. #553	C₂²×C₁₃	semidirect
674. #553	C₂²×C₁₃	semidirect
675. #553	C₂²×C₁₃	semidirect
676. #553	C₂²×C₁₃	semidirect
677. #553	C₂²×C₁₃	semidirect
678. #553	C₂²×C₁₃	semidirect
679. #552	C₂²×C₁₃	semidirect
680. #552	C₂²×C₁₃	semidirect
681. #552	C₂²×C₁₃	semidirect
682. #552	C₂²×C₁₃	semidirect
683. #552	C₂²×C₁₃	semidirect
684. #551	C₂²×C₁₃	semidirect
685. #551	C₂²×C₁₃	semidirect
686. #551	C₂²×C₁₃	semidirect
687. #551	C₂²×C₁₃	semidirect
689. D₄×Q₈	C₂²×C₁₃	semidirect
691. #548	C₂²×C₁₃	semidirect
692. #548	C₂²×C₁₃	semidirect
693. #548	C₂²×C₁₃	semidirect
694. #547	C₂²×C₁₃	semidirect
695. #547	C₂²×C₁₃	semidirect
697. #546	C₂²×C₁₃	semidirect
698. #546	C₂²×C₁₃	semidirect
699. #546	C₂²×C₁₃	semidirect
700. #546	C₂²×C₁₃	semidirect
702. #544	C₂²×C₁₃	semidirect
703. #544	C₂²×C₁₃	semidirect
704. #542	C₂²×C₁₃	semidirect
705. #542	C₂²×C₁₃	semidirect
706. #542	C₂²×C₁₃	semidirect
707. #542	C₂²×C₁₃	semidirect
708. #541	C₂²×C₁₃	semidirect
709. #541	C₂²×C₁₃	semidirect
710. #540	C₂²×C₁₃	semidirect
711. #540	C₂²×C₁₃	semidirect
712. #539	C₂²×C₁₃	semidirect
713. #538	C₂²×C₁₃	semidirect
715. #537	C₂²×C₁₃	semidirect
716. #536	C₂²×C₁₃	semidirect
717. #536	C₂²×C₁₃	semidirect
719. #535	C₂²×C₁₃	semidirect
720. #533	C₂²×C₁₃	semidirect
721. #533	C₂²×C₁₃	semidirect
722. #533	C₂²×C₁₃	semidirect
723. #533	C₂²×C₁₃	semidirect
724. #532	C₂²×C₁₃	semidirect
725. #532	C₂²×C₁₃	semidirect
726. #532	C₂²×C₁₃	semidirect
727. #532	C₂²×C₁₃	semidirect
728. #529	C₂²×C₁₃	semidirect
729. #529	C₂²×C₁₃	semidirect
730. #529	C₂²×C₁₃	semidirect
731. #529	C₂²×C₁₃	semidirect
732. #529	C₂²×C₁₃	semidirect
733. #529	C₂²×C₁₃	semidirect
734. #529	C₂²×C₁₃	semidirect
735. #529	C₂²×C₁₃	semidirect
736. #529	C₂²×C₁₃	semidirect
737. #529	C₂²×C₁₃	semidirect
738. #529	C₂²×C₁₃	semidirect
739. #529	C₂²×C₁₃	semidirect
740. #529	C₂²×C₁₃	semidirect
741. #529	C₂²×C₁₃	semidirect
742. #529	C₂²×C₁₃	semidirect
743. #529	C₂²×C₁₃	semidirect
744. #529	C₂²×C₁₃	semidirect
745. #529	C₂²×C₁₃	semidirect
746. C₂×#126	C₂²×C₁₃	semidirect
747. C₂×#125	C₂²×C₁₃	semidirect
748. C₂×#124	C₂²×C₁₃	semidirect
750. #525	C₂²×C₁₃	semidirect
751. #525	C₂²×C₁₃	semidirect
752. #525	C₂²×C₁₃	semidirect
753. #525	C₂²×C₁₃	semidirect
754. C₂×#123	C₂²×C₁₃	semidirect
755. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
759. #520	C₂²×C₁₃	semidirect
760. #520	C₂²×C₁₃	semidirect
761. #520	C₂²×C₁₃	semidirect
762. #520	C₂²×C₁₃	semidirect
763. #519	C₂²×C₁₃	semidirect
764. #519	C₂²×C₁₃	semidirect
765. #518	C₂²×C₁₃	semidirect
766. #518	C₂²×C₁₃	semidirect
769. C₄×#41	C₂²×C₁₃	semidirect
770. C₄×#41	C₂²×C₁₃	semidirect
771. C₄×#41	C₂²×C₁₃	semidirect
772. C₄×#41	C₂²×C₁₃	semidirect
773. C₄×#41	C₂²×C₁₃	semidirect
774. C₄×#41	C₂²×C₁₃	semidirect
775. C₄×#41	C₂²×C₁₃	semidirect
776. C₄×#41	C₂²×C₁₃	semidirect
777. C₄×#41	C₂²×C₁₃	semidirect
778. C₄×#41	C₂²×C₁₃	semidirect
779. C₄×#41	C₂²×C₁₃	semidirect
780. C₄×#41	C₂²×C₁₃	semidirect
781. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
782. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
783. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
784. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
785. C₂×C₄×D₄	C₂²×C₁₃	semidirect
786. C₂×C₄×D₄	C₂²×C₁₃	semidirect
787. C₂×C₄×D₄	C₂²×C₁₃	semidirect
788. C₂×C₄×D₄	C₂²×C₁₃	semidirect
789. C₂×C₄×D₄	C₂²×C₁₃	semidirect
790. C₂×#117	C₂²×C₁₃	semidirect
791. C₂×#117	C₂²×C₁₃	semidirect
792. C₂²×C₄²	C₂²×C₁₃	semidirect
1091. #41	C₁₃×#41	semidirect
1235. C₁₃	#62810	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3524	2
C₁₃×#3521	2
C₁₃×#3516	2
C₁₃×#3513	2
C₁₃×#3512	2
C₁₃×#3510	2
C₁₃×#3504	2
C₁₃×#3500	2
C₁₃×#3495	2
C₁₃×#3494	2
C₁₃×#3489	2
C₁₃×#3488	2
C₁₃×#3482	2
C₁₃×#3481	2
C₁₃×#3480	2
C₁₃×#3475	2
C₁₃×#3461	2
C₁₃×#3460	2
C₁₃×#3444	2
C₂×C₁₃×#529	2
C₄×C₁₃×2₋¹⁺⁴	2
C₄×C₁₃×H(5,𝔽₂)	2
C₂×C₄×C₁₃×#41	2
#62810	13

Subgroups — C13×#62810 #15749149

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62810 #15749149