Subgroups — C₁₃×#62820 #15749159

Order 3328.

7382 conjugacy classes of subgroups.

The subgroup lattice has 868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3534	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3533	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3513	C₂	1	16	yes	maximal, complemented
5	C₁₃×#3492	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3491	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3490	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3490	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3485	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3484	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#525	C₂	1	2	yes	maximal, complemented
12	C₂²×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
14	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
15	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
17	C₁₃×#563	C₂²	1	8	yes	complemented
18	C₁₃×#562	C₂²	1	16	yes	complemented
19	C₁₃×#560	C₂²	1	8	yes	complemented
20	C₁₃×#559	C₂²	1	8	yes	complemented
21	C₁₃×#554	C₂²	1	16	yes	complemented
22	C₁₃×#553	C₂²	1	16	yes	complemented
23	C₁₃×#553	C₂²	1	16	yes	complemented
24	C₁₃×#552	C₂²	1	16	yes	complemented
25	C₁₃×#552	C₂²	1	16	yes	complemented
26	C₁₃×#551	C₂²	1	16	yes	complemented
27	C₁₃×#551	C₂²	1	16	yes	complemented
28	C₁₃×#551	C₂²	1	16	yes	complemented
29	C₁₃×#551	C₂²	1	16	yes	complemented
30	C₁₃×#551	C₂²	1	8	yes	complemented
31	C₁₃×#547	C₂²	1	16	yes	complemented
32	C₁₃×#547	C₂²	1	16	yes	complemented
33	C₁₃×#546	C₂²	1	16	yes	complemented
34	C₁₃×#546	C₂²	1	16	yes	complemented
35	C₁₃×#546	C₂²	1	16	yes	complemented
36	C₁₃×#546	C₂²	1	16	yes	complemented
37	C₁₃×#546	C₂²	1	16	yes	complemented
38	D₄²×C₁₃	C₂²	1	16	yes	complemented
39	C₁₃×#544	C₂²	1	4	yes	complemented
40	C₁₃×#543	C₂²	1	4	yes	complemented
41	C₁₃×#543	C₂²	1	2	yes	complemented
42	C₁₃×#542	C₂²	1	16	yes	complemented
43	C₁₃×#540	C₂²	1	16	yes	complemented
44	C₁₃×#539	C₂²	1	8	yes	complemented
45	C₁₃×#539	C₂²	1	8	yes	complemented
46	C₁₃×#539	C₂²	1	16	yes	complemented
47	C₁₃×#539	C₂²	1	16	yes	complemented
48	C₁₃×#538	C₂²	1	8	yes	complemented
49	C₁₃×#538	C₂²	1	8	yes	complemented
50	C₁₃×#538	C₂²	1	8	yes	complemented
51	C₁₃×#538	C₂²	1	16	yes	complemented
52	C₁₃×#537	C₂²	1	4	yes	complemented
53	C₁₃×#536	C₂²	1	8	yes	complemented
54	C₁₃×#535	C₂²	1	4	yes	complemented
55	C₁₃×#534	C₂²	1	4	yes	—
56	C₁₃×#534	C₂²	1	4	yes	complemented
57	C₁₃×#534	C₂²	1	4	yes	complemented
58	C₁₃×#534	C₂²	1	2	yes	complemented
59	C₁₃×#534	C₂²	1	8	yes	complemented
60	C₁₃×#529	C₂²	1	16	yes	complemented
61	C₁₃×#525	C₂²	1	8	yes	complemented
62	C₁₃×#525	C₂²	1	4	yes	complemented
63	C₁₃×#525	C₂²	1	8	yes	complemented
64	C₁₃×#525	C₂²	1	8	yes	complemented
65	C₁₃×#525	C₂²	1	8	yes	complemented
66	C₁₃×#525	C₂²	1	8	yes	complemented
67	C₁₃×#525	C₂²	1	8	yes	complemented
68	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
69	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
70	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
71	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
72	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
73	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
74	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
75	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
76	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
77	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
78	C₁₃×#520	C₂²	1	8	yes	complemented
79	C₁₃×#518	C₂²	1	2	yes	complemented
80	C₁₃×#518	C₂²	1	4	yes	complemented
81	C₁₃×#518	C₂²	1	8	yes	complemented
82	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
83	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
84	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
85	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
87	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
88	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
89	C₁₃×H(5,𝔽₂)	—	4	8	no	—
90	C₂×C₁₃×#41	—	4	8	no	—
91	C₂×C₁₃×#41	C₂³	1	8	yes	—
92	C₂×C₁₃×#41	C₂³	1	8	yes	—
93	C₂×C₁₃×#41	C₂³	1	4	yes	—
94	C₂×C₁₃×#41	C₂³	1	8	yes	—
95	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
96	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
97	C₂²×D₄×C₁₃	—	4	4	no	—
98	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
99	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
100	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
101	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
102	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
103	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
104	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
105	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
106	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
107	C₂³×C₄×C₁₃	—	4	4	no	—
108	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
109	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
110	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
111	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
112	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
113	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
114	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
115	C₂³×C₄×C₁₃	C₂³	1	4	yes	complemented
116	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	complemented
117	C₁₃×#127	C₂³	1	8	yes	—
118	C₁₃×#126	C₂³	1	16	yes	complemented
119	C₁₃×#126	C₂³	1	16	yes	complemented
120	C₁₃×#126	C₂³	1	16	yes	complemented
121	C₁₃×#126	C₂³	1	16	yes	complemented
122	C₁₃×#126	C₂³	1	16	yes	complemented
123	C₁₃×#125	C₂³	1	16	yes	complemented
124	C₁₃×#125	C₂³	1	16	yes	complemented
125	C₁₃×#125	C₂³	1	16	yes	complemented
126	C₁₃×#124	C₂³	1	8	yes	—
127	C₁₃×#124	C₂³	1	16	yes	complemented
128	C₁₃×#124	C₂³	1	16	yes	complemented
129	C₁₃×#124	C₂³	1	16	yes	complemented
130	C₁₃×#123	C₂³	1	8	yes	—
131	C₁₃×#123	C₂³	1	8	yes	—
132	C₁₃×#123	C₂³	1	16	yes	—
133	C₁₃×#123	C₂³	1	16	yes	—
134	C₁₃×#123	C₂³	1	8	yes	—
135	C₁₃×#123	C₂³	1	8	yes	—
136	C₁₃×#123	C₂³	1	16	yes	—
137	C₁₃×#123	C₂³	1	8	yes	—
138	C₁₃×#123	C₂³	1	8	yes	—
139	C₁₃×#123	C₂³	1	16	yes	—
140	C₁₃×#123	C₂³	1	8	yes	—
141	C₁₃×#123	C₂³	1	8	yes	complemented
142	C₁₃×#123	C₂³	1	8	yes	complemented
143	C₁₃×#123	C₂³	1	8	yes	complemented
144	C₁₃×#123	C₂³	1	16	yes	complemented
145	C₁₃×#123	C₂³	1	16	yes	complemented
146	C₁₃×#123	C₂³	1	16	yes	complemented
147	C₁₃×#123	C₂³	1	16	yes	complemented
148	C₁₃×#123	C₂³	1	16	yes	complemented
149	C₁₃×#123	C₂³	1	16	yes	complemented
150	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
151	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
152	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
153	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
154	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
155	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
156	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
157	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
158	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
159	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
160	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
161	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
162	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
163	C₁₃×#121	C₂³	1	8	yes	—
164	C₁₃×#121	C₂³	1	8	yes	—
165	C₁₃×#121	C₂³	1	8	yes	—
166	C₁₃×#121	C₂³	1	8	yes	—
167	C₁₃×#121	C₂³	1	8	yes	—
168	C₁₃×#121	C₂³	1	16	yes	—
169	C₁₃×#121	C₂³	1	16	yes	—
170	C₁₃×#121	C₂³	1	16	yes	—
171	C₁₃×#121	C₂³	1	8	yes	complemented
172	C₁₃×#121	C₂³	1	8	yes	complemented
173	C₁₃×#121	C₂³	1	16	yes	complemented
174	C₁₃×#121	C₂³	1	16	yes	complemented
175	C₁₃×#121	C₂³	1	16	yes	complemented
176	C₁₃×#121	C₂³	1	16	yes	complemented
177	C₁₃×#120	C₂³	1	8	yes	—
178	C₁₃×#120	C₂³	1	8	yes	—
179	C₁₃×#120	C₂³	1	16	yes	—
180	C₁₃×#120	C₂³	1	8	yes	—
181	C₁₃×#120	C₂³	1	16	yes	—
182	C₁₃×#120	C₂³	1	8	yes	—
183	C₁₃×#120	C₂³	1	8	yes	—
184	C₁₃×#120	C₂³	1	8	yes	complemented
185	C₁₃×#120	C₂³	1	16	yes	complemented
186	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
187	C₄×D₄×C₁₃	C₂³	1	16	yes	—
188	C₄×D₄×C₁₃	C₂³	1	16	yes	—
189	C₄×D₄×C₁₃	C₂³	1	16	yes	—
190	C₄×D₄×C₁₃	C₂³	1	16	yes	—
191	C₄×D₄×C₁₃	C₂³	1	16	yes	—
192	C₄×D₄×C₁₃	C₂³	1	16	yes	—
193	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
194	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
195	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
196	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
197	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
198	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
199	C₁₃×#117	C₂³	1	8	yes	—
200	C₁₃×#117	C₂³	1	4	yes	—
201	C₁₃×#117	C₂³	1	8	yes	—
202	C₁₃×#117	C₂³	1	8	yes	complemented
203	C₁₃×#117	C₂³	1	8	yes	complemented
204	C₁₃×#117	C₂³	1	16	yes	complemented
205	C₁₃×#117	C₂³	1	16	yes	complemented
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
227	C₂×C₄²×C₁₃	C₂³	1	4	yes	complemented
228	#62820	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
229	C₂⁴×C₁₃	—	2	4	no	—
230	C₂⁴×C₁₃	—	4	4	no	—
231	C₂⁴×C₁₃	—	4	2	no	—
232	C₂⁴×C₁₃	—	4	4	no	—
233	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
235	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
236	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
237	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
238	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
239	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
240	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
241	C₁₃×#41	—	4	16	no	—
242	C₁₃×#41	—	4	16	no	—
243	C₁₃×#41	—	4	16	no	—
244	C₁₃×#41	—	4	8	no	—
245	C₁₃×#41	—	4	16	no	—
246	C₂×Q₈×C₁₃	—	4	4	no	—
247	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
248	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
249	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
250	C₂×D₄×C₁₃	—	2	8	no	—
251	C₂×D₄×C₁₃	—	2	16	no	—
252	C₂×D₄×C₁₃	—	4	4	no	—
253	C₂×D₄×C₁₃	—	4	4	no	—
254	C₂×D₄×C₁₃	—	4	16	no	—
255	C₂×D₄×C₁₃	—	4	16	no	—
256	C₂×D₄×C₁₃	—	4	16	no	—
257	C₂×D₄×C₁₃	—	4	16	no	—
258	C₂×D₄×C₁₃	—	4	8	no	—
259	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
260	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
261	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
262	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
263	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
264	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
265	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
266	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
267	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
268	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
269	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
270	C₂²×C₄×C₁₃	—	2	8	no	—
271	C₂²×C₄×C₁₃	—	4	8	no	—
272	C₂²×C₄×C₁₃	—	4	8	no	—
273	C₂²×C₄×C₁₃	—	4	4	no	—
274	C₂²×C₄×C₁₃	—	4	4	no	—
275	C₂²×C₄×C₁₃	—	4	4	no	—
276	C₂²×C₄×C₁₃	—	4	2	no	—
277	C₂²×C₄×C₁₃	—	4	8	no	—
278	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
281	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
282	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
283	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
286	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
287	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
288	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
290	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
292	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
295	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
296	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
301	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
302	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
303	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
304	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
305	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
306	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
307	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
308	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
309	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
310	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
311	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
312	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
313	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
314	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
315	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
316	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
317	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
318	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
319	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
320	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
321	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
322	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
323	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
324	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
325	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
326	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
327	C₄²×C₁₃	C₂⁴	1	16	yes	—
328	C₄²×C₁₃	C₂⁴	1	8	yes	—
329	C₄²×C₁₃	C₂⁴	1	16	yes	—
330	#3535	C₂×C₁₃	1	8	yes	complemented
331	#3534	C₂×C₁₃	1	8	yes	complemented
332	#3533	C₂×C₁₃	1	8	yes	complemented
333	#3513	C₂×C₁₃	1	16	yes	complemented
334	#3492	C₂×C₁₃	1	4	yes	complemented
335	#3491	C₂×C₁₃	1	4	yes	complemented
336	#3490	C₂×C₁₃	1	2	yes	complemented
337	#3490	C₂×C₁₃	1	4	yes	complemented
338	#3485	C₂×C₁₃	1	4	yes	complemented
339	#3484	C₂×C₁₃	1	2	yes	complemented
340	C₂×#525	C₂×C₁₃	1	2	yes	complemented
341	C₂²×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
342	C₂³×C₁₃	—	2	2	no	—
343	C₂³×C₁₃	—	2	4	no	—
344	C₂³×C₁₃	—	2	8	no	—
345	C₂³×C₁₃	—	2	2	no	—
346	C₂³×C₁₃	—	2	8	no	—
347	C₂³×C₁₃	—	2	8	no	—
348	C₂³×C₁₃	—	2	4	no	—
349	C₂³×C₁₃	—	2	8	no	—
350	C₂³×C₁₃	—	4	2	no	—
351	C₂³×C₁₃	—	4	4	no	—
352	C₂³×C₁₃	—	4	2	no	—
353	C₂³×C₁₃	—	4	4	no	—
354	C₂³×C₁₃	—	4	8	no	—
355	C₂³×C₁₃	—	4	4	no	—
356	C₂³×C₁₃	—	4	4	no	—
357	C₂³×C₁₃	—	4	4	no	—
358	C₂³×C₁₃	—	4	8	no	—
359	C₂³×C₁₃	—	4	16	no	—
360	C₂³×C₁₃	—	8	8	no	—
361	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
362	C₂³×C₁₃	C₂⁵	1	4	yes	—
363	C₂³×C₁₃	C₂⁵	1	2	yes	—
364	C₂³×C₁₃	C₂⁵	1	8	yes	—
365	C₂³×C₁₃	C₂⁵	1	2	yes	—
366	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
367	C₂³×C₁₃	C₂⁵	1	2	yes	—
368	Q₈×C₁₃	—	4	8	no	—
369	Q₈×C₁₃	—	4	8	no	—
370	Q₈×C₁₃	—	4	4	no	—
371	D₄×C₁₃	—	2	16	no	—
372	D₄×C₁₃	—	2	16	no	—
373	D₄×C₁₃	—	2	16	no	—
374	D₄×C₁₃	—	2	32	no	—
375	D₄×C₁₃	—	4	8	no	—
376	D₄×C₁₃	—	4	4	no	—
377	D₄×C₁₃	—	4	8	no	—
378	D₄×C₁₃	—	4	16	no	—
379	D₄×C₁₃	—	4	16	no	—
380	D₄×C₁₃	—	4	8	no	—
381	D₄×C₁₃	—	4	8	no	—
382	C₂×C₄×C₁₃	—	2	4	no	—
383	C₂×C₄×C₁₃	—	2	4	no	—
384	C₂×C₄×C₁₃	—	2	8	no	—
385	C₂×C₄×C₁₃	—	2	8	no	—
386	C₂×C₄×C₁₃	—	2	4	no	—
387	C₂×C₄×C₁₃	—	2	8	no	—
388	C₂×C₄×C₁₃	—	2	8	no	—
389	C₂×C₄×C₁₃	—	4	2	no	—
390	C₂×C₄×C₁₃	—	4	2	no	—
391	C₂×C₄×C₁₃	—	4	4	no	—
392	C₂×C₄×C₁₃	—	4	4	no	—
393	C₂×C₄×C₁₃	—	4	2	no	—
394	C₂×C₄×C₁₃	—	4	2	no	—
395	C₂×C₄×C₁₃	—	4	4	no	—
396	C₂×C₄×C₁₃	—	4	4	no	—
397	C₂×C₄×C₁₃	—	4	4	no	—
398	C₂×C₄×C₁₃	—	4	16	no	—
399	C₂×C₄×C₁₃	—	4	8	no	—
400	C₂×C₄×C₁₃	—	4	8	no	—
401	C₂×C₄×C₁₃	—	4	8	no	—
402	C₂×C₄×C₁₃	—	4	4	no	—
403	C₂×C₄×C₁₃	—	4	16	no	—
404	C₂×C₄×C₁₃	C₂⁵	1	16	yes	—
405	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
406	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
407	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
408	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
409	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
410	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	complemented
411	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
412	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
413	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
414	#563	C₂²×C₁₃	1	8	yes	complemented
415	#562	C₂²×C₁₃	1	16	yes	complemented
416	#560	C₂²×C₁₃	1	8	yes	complemented
417	#559	C₂²×C₁₃	1	8	yes	complemented
418	#554	C₂²×C₁₃	1	16	yes	complemented
419	#553	C₂²×C₁₃	1	16	yes	complemented
420	#553	C₂²×C₁₃	1	16	yes	complemented
421	#552	C₂²×C₁₃	1	16	yes	complemented
422	#552	C₂²×C₁₃	1	16	yes	complemented
423	#551	C₂²×C₁₃	1	16	yes	complemented
424	#551	C₂²×C₁₃	1	16	yes	complemented
425	#551	C₂²×C₁₃	1	16	yes	complemented
426	#551	C₂²×C₁₃	1	16	yes	complemented
427	#551	C₂²×C₁₃	1	8	yes	complemented
428	#547	C₂²×C₁₃	1	16	yes	complemented
429	#547	C₂²×C₁₃	1	16	yes	complemented
430	#546	C₂²×C₁₃	1	16	yes	complemented
431	#546	C₂²×C₁₃	1	16	yes	complemented
432	#546	C₂²×C₁₃	1	16	yes	complemented
433	#546	C₂²×C₁₃	1	16	yes	complemented
434	#546	C₂²×C₁₃	1	16	yes	complemented
435	D₄²	C₂²×C₁₃	1	16	yes	complemented
436	#544	C₂²×C₁₃	1	4	yes	complemented
437	#543	C₂²×C₁₃	1	2	yes	complemented
438	#543	C₂²×C₁₃	1	4	yes	complemented
439	#542	C₂²×C₁₃	1	16	yes	complemented
440	#540	C₂²×C₁₃	1	16	yes	complemented
441	#539	C₂²×C₁₃	1	8	yes	complemented
442	#539	C₂²×C₁₃	1	8	yes	complemented
443	#539	C₂²×C₁₃	1	16	yes	complemented
444	#539	C₂²×C₁₃	1	16	yes	complemented
445	#538	C₂²×C₁₃	1	8	yes	complemented
446	#538	C₂²×C₁₃	1	8	yes	complemented
447	#538	C₂²×C₁₃	1	8	yes	complemented
448	#538	C₂²×C₁₃	1	16	yes	complemented
449	#537	C₂²×C₁₃	1	4	yes	complemented
450	#536	C₂²×C₁₃	1	8	yes	complemented
451	#535	C₂²×C₁₃	1	4	yes	complemented
452	#534	C₂²×C₁₃	1	4	yes	—
453	#534	C₂²×C₁₃	1	4	yes	complemented
454	#534	C₂²×C₁₃	1	2	yes	complemented
455	#534	C₂²×C₁₃	1	4	yes	complemented
456	#534	C₂²×C₁₃	1	8	yes	complemented
457	#529	C₂²×C₁₃	1	16	yes	complemented
458	#525	C₂²×C₁₃	1	8	yes	complemented
459	#525	C₂²×C₁₃	1	4	yes	complemented
460	#525	C₂²×C₁₃	1	8	yes	complemented
461	#525	C₂²×C₁₃	1	8	yes	complemented
462	#525	C₂²×C₁₃	1	8	yes	complemented
463	#525	C₂²×C₁₃	1	8	yes	complemented
464	#525	C₂²×C₁₃	1	8	yes	complemented
465	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
466	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
467	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
468	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
469	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
470	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
471	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
472	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
473	C₂×#120	C₂²×C₁₃	1	4	yes	complemented
474	C₂×#120	C₂²×C₁₃	1	4	yes	complemented
475	#520	C₂²×C₁₃	1	8	yes	complemented
476	#518	C₂²×C₁₃	1	2	yes	complemented
477	#518	C₂²×C₁₃	1	4	yes	complemented
478	#518	C₂²×C₁₃	1	8	yes	complemented
479	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
480	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
481	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
482	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
483	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
484	C₂²×C₁₃	—	2	8	no	—
485	C₂²×C₁₃	—	2	2	no	—
486	C₂²×C₁₃	—	2	2	no	—
487	C₂²×C₁₃	—	2	2	no	—
488	C₂²×C₁₃	—	2	4	no	—
489	C₂²×C₁₃	—	2	2	no	—
490	C₂²×C₁₃	—	2	8	no	—
491	C₂²×C₁₃	—	2	4	no	—
492	C₂²×C₁₃	—	2	16	no	—
493	C₂²×C₁₃	—	2	8	no	—
494	C₂²×C₁₃	—	2	4	no	—
495	C₂²×C₁₃	—	4	4	no	—
496	C₂²×C₁₃	—	4	16	no	—
497	C₂²×C₁₃	—	4	4	no	—
498	C₂²×C₁₃	—	8	8	no	—
499	C₂²×C₁₃	—	8	4	no	—
500	C₂²×C₁₃	—	8	8	no	—
501	C₂²×C₁₃	—	16	4	no	—
502	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
503	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
504	C₂²×C₁₃	#585	1	4	yes	—
505	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
506	C₄×C₁₃	—	2	4	no	—
507	C₄×C₁₃	—	2	4	no	—
508	C₄×C₁₃	—	2	4	no	—
509	C₄×C₁₃	—	2	8	no	—
510	C₄×C₁₃	—	2	8	no	—
511	C₄×C₁₃	—	2	16	no	—
512	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
513	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
514	H(5,𝔽₂)	—	4	8	no	—
515	C₂×#41	—	4	8	no	—
516	C₂×#41	C₂³×C₁₃	1	8	yes	—
517	C₂×#41	C₂³×C₁₃	1	8	yes	—
518	C₂×#41	C₂³×C₁₃	1	4	yes	—
519	C₂×#41	C₂³×C₁₃	1	8	yes	—
520	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
521	C₂²×Q₈	C₂³×C₁₃	1	2	yes	complemented
522	C₂²×D₄	—	4	4	no	—
523	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
524	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
525	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
526	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
527	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
528	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
529	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
530	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
531	C₂²×D₄	C₂³×C₁₃	1	2	yes	complemented
532	C₂³×C₄	—	4	4	no	—
533	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
534	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
535	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
536	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
537	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
538	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
539	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
540	C₂³×C₄	C₂³×C₁₃	1	4	yes	complemented
541	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
542	#127	C₂³×C₁₃	1	8	yes	—
543	#126	C₂³×C₁₃	1	16	yes	complemented
544	#126	C₂³×C₁₃	1	16	yes	complemented
545	#126	C₂³×C₁₃	1	16	yes	complemented
546	#126	C₂³×C₁₃	1	16	yes	complemented
547	#126	C₂³×C₁₃	1	16	yes	complemented
548	#125	C₂³×C₁₃	1	16	yes	complemented
549	#125	C₂³×C₁₃	1	16	yes	complemented
550	#125	C₂³×C₁₃	1	16	yes	complemented
551	#124	C₂³×C₁₃	1	8	yes	—
552	#124	C₂³×C₁₃	1	16	yes	complemented
553	#124	C₂³×C₁₃	1	16	yes	complemented
554	#124	C₂³×C₁₃	1	16	yes	complemented
555	#123	C₂³×C₁₃	1	8	yes	—
556	#123	C₂³×C₁₃	1	8	yes	—
557	#123	C₂³×C₁₃	1	16	yes	—
558	#123	C₂³×C₁₃	1	16	yes	—
559	#123	C₂³×C₁₃	1	8	yes	—
560	#123	C₂³×C₁₃	1	8	yes	—
561	#123	C₂³×C₁₃	1	16	yes	—
562	#123	C₂³×C₁₃	1	8	yes	—
563	#123	C₂³×C₁₃	1	8	yes	—
564	#123	C₂³×C₁₃	1	16	yes	—
565	#123	C₂³×C₁₃	1	8	yes	—
566	#123	C₂³×C₁₃	1	8	yes	complemented
567	#123	C₂³×C₁₃	1	8	yes	complemented
568	#123	C₂³×C₁₃	1	8	yes	complemented
569	#123	C₂³×C₁₃	1	16	yes	complemented
570	#123	C₂³×C₁₃	1	16	yes	complemented
571	#123	C₂³×C₁₃	1	16	yes	complemented
572	#123	C₂³×C₁₃	1	16	yes	complemented
573	#123	C₂³×C₁₃	1	16	yes	complemented
574	#123	C₂³×C₁₃	1	16	yes	complemented
575	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
576	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
577	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
578	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
579	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
580	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
581	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
582	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
583	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
584	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
585	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
586	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
587	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
588	#121	C₂³×C₁₃	1	8	yes	—
589	#121	C₂³×C₁₃	1	8	yes	—
590	#121	C₂³×C₁₃	1	8	yes	—
591	#121	C₂³×C₁₃	1	8	yes	—
592	#121	C₂³×C₁₃	1	8	yes	—
593	#121	C₂³×C₁₃	1	16	yes	—
594	#121	C₂³×C₁₃	1	16	yes	—
595	#121	C₂³×C₁₃	1	16	yes	—
596	#121	C₂³×C₁₃	1	8	yes	complemented
597	#121	C₂³×C₁₃	1	8	yes	complemented
598	#121	C₂³×C₁₃	1	16	yes	complemented
599	#121	C₂³×C₁₃	1	16	yes	complemented
600	#121	C₂³×C₁₃	1	16	yes	complemented
601	#121	C₂³×C₁₃	1	16	yes	complemented
602	#120	C₂³×C₁₃	1	8	yes	—
603	#120	C₂³×C₁₃	1	8	yes	—
604	#120	C₂³×C₁₃	1	16	yes	—
605	#120	C₂³×C₁₃	1	8	yes	—
606	#120	C₂³×C₁₃	1	16	yes	—
607	#120	C₂³×C₁₃	1	8	yes	—
608	#120	C₂³×C₁₃	1	8	yes	—
609	#120	C₂³×C₁₃	1	8	yes	complemented
610	#120	C₂³×C₁₃	1	16	yes	complemented
611	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
612	C₄×D₄	C₂³×C₁₃	1	16	yes	—
613	C₄×D₄	C₂³×C₁₃	1	16	yes	—
614	C₄×D₄	C₂³×C₁₃	1	16	yes	—
615	C₄×D₄	C₂³×C₁₃	1	16	yes	—
616	C₄×D₄	C₂³×C₁₃	1	16	yes	—
617	C₄×D₄	C₂³×C₁₃	1	16	yes	—
618	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
619	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
620	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
621	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
622	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
623	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
624	#117	C₂³×C₁₃	1	8	yes	—
625	#117	C₂³×C₁₃	1	4	yes	—
626	#117	C₂³×C₁₃	1	8	yes	—
627	#117	C₂³×C₁₃	1	8	yes	complemented
628	#117	C₂³×C₁₃	1	8	yes	complemented
629	#117	C₂³×C₁₃	1	16	yes	complemented
630	#117	C₂³×C₁₃	1	16	yes	complemented
631	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
632	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
633	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
634	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	complemented
636	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
637	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
638	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
639	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
647	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	complemented
650	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	complemented
651	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
652	C₂×C₄²	C₂³×C₁₃	1	4	yes	complemented
653	C₂×C₁₃	—	2	2	no	—
654	C₂×C₁₃	—	2	4	no	—
655	C₂×C₁₃	—	2	4	no	—
656	C₂×C₁₃	—	4	2	no	—
657	C₂×C₁₃	—	4	4	no	—
658	C₂×C₁₃	—	4	8	no	—
659	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂×C₁₃	C₂×#585	1	2	yes	—
661	C₂⁴	—	2	4	no	—
662	C₂⁴	—	4	4	no	—
663	C₂⁴	—	4	2	no	—
664	C₂⁴	—	4	4	no	—
665	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
666	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
667	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
668	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
669	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
670	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
671	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
672	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
673	#41	—	4	16	no	—
674	#41	—	4	16	no	—
675	#41	—	4	8	no	—
676	#41	—	4	16	no	—
677	#41	—	4	16	no	—
678	C₂×Q₈	—	4	4	no	—
679	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
680	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
681	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
682	C₂×D₄	—	2	8	no	—
683	C₂×D₄	—	2	16	no	—
684	C₂×D₄	—	4	4	no	—
685	C₂×D₄	—	4	4	no	—
686	C₂×D₄	—	4	16	no	—
687	C₂×D₄	—	4	16	no	—
688	C₂×D₄	—	4	8	no	—
689	C₂×D₄	—	4	16	no	—
690	C₂×D₄	—	4	16	no	—
691	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
692	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
693	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
694	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
695	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
696	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
697	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
698	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
699	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
700	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
701	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
702	C₂²×C₄	—	2	8	no	—
703	C₂²×C₄	—	4	8	no	—
704	C₂²×C₄	—	4	8	no	—
705	C₂²×C₄	—	4	4	no	—
706	C₂²×C₄	—	4	4	no	—
707	C₂²×C₄	—	4	2	no	—
708	C₂²×C₄	—	4	4	no	—
709	C₂²×C₄	—	4	8	no	—
710	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
711	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
712	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
713	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
714	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
715	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
716	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
717	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
718	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
719	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
720	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
721	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
722	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
723	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
724	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
725	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
726	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
727	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
728	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
729	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
730	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
731	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
732	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
733	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
734	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
735	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
736	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
737	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
738	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
739	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
740	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
741	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
742	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
743	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
744	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
745	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
746	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
747	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
748	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
749	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
750	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
751	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
752	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
753	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
754	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
755	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
756	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
757	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
758	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
759	C₄²	C₂⁴×C₁₃	1	16	yes	—
760	C₄²	C₂⁴×C₁₃	1	8	yes	—
761	C₄²	C₂⁴×C₁₃	1	16	yes	—
762	C₁₃	#62820	1	1	yes	characteristic, direct product factor, Sylow
763	C₂³	—	2	2	no	—
764	C₂³	—	2	4	no	—
765	C₂³	—	2	8	no	—
766	C₂³	—	2	2	no	—
767	C₂³	—	2	8	no	—
768	C₂³	—	2	8	no	—
769	C₂³	—	2	4	no	—
770	C₂³	—	2	8	no	—
771	C₂³	—	4	2	no	—
772	C₂³	—	4	4	no	—
773	C₂³	—	4	2	no	—
774	C₂³	—	4	4	no	—
775	C₂³	—	4	8	no	—
776	C₂³	—	4	4	no	—
777	C₂³	—	4	4	no	—
778	C₂³	—	4	4	no	—
779	C₂³	—	4	8	no	—
780	C₂³	—	4	16	no	—
781	C₂³	—	8	8	no	—
782	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
783	C₂³	C₂⁵×C₁₃	1	4	yes	—
784	C₂³	C₂⁵×C₁₃	1	2	yes	—
785	C₂³	C₂⁵×C₁₃	1	8	yes	—
786	C₂³	C₂⁵×C₁₃	1	2	yes	—
787	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
788	C₂³	C₂⁵×C₁₃	1	2	yes	—
789	Q₈	—	4	8	no	—
790	Q₈	—	4	4	no	—
791	Q₈	—	4	8	no	—
792	D₄	—	2	16	no	—
793	D₄	—	2	16	no	—
794	D₄	—	2	16	no	—
795	D₄	—	2	32	no	—
796	D₄	—	4	8	no	—
797	D₄	—	4	4	no	—
798	D₄	—	4	8	no	—
799	D₄	—	4	16	no	—
800	D₄	—	4	16	no	—
801	D₄	—	4	8	no	—
802	D₄	—	4	8	no	—
803	C₂×C₄	—	2	4	no	—
804	C₂×C₄	—	2	4	no	—
805	C₂×C₄	—	2	8	no	—
806	C₂×C₄	—	2	8	no	—
807	C₂×C₄	—	2	4	no	—
808	C₂×C₄	—	2	8	no	—
809	C₂×C₄	—	2	8	no	—
810	C₂×C₄	—	4	2	no	—
811	C₂×C₄	—	4	2	no	—
812	C₂×C₄	—	4	4	no	—
813	C₂×C₄	—	4	4	no	—
814	C₂×C₄	—	4	2	no	—
815	C₂×C₄	—	4	2	no	—
816	C₂×C₄	—	4	4	no	—
817	C₂×C₄	—	4	4	no	—
818	C₂×C₄	—	4	4	no	—
819	C₂×C₄	—	4	16	no	—
820	C₂×C₄	—	4	8	no	—
821	C₂×C₄	—	4	8	no	—
822	C₂×C₄	—	4	8	no	—
823	C₂×C₄	—	4	4	no	—
824	C₂×C₄	—	4	16	no	—
825	C₂×C₄	C₂⁵×C₁₃	1	16	yes	—
826	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
827	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
828	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
829	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
830	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
831	C₂²	—	2	8	no	—
832	C₂²	—	2	2	no	—
833	C₂²	—	2	2	no	—
834	C₂²	—	2	2	no	—
835	C₂²	—	2	4	no	—
836	C₂²	—	2	2	no	—
837	C₂²	—	2	8	no	—
838	C₂²	—	2	4	no	—
839	C₂²	—	2	16	no	—
840	C₂²	—	2	8	no	—
841	C₂²	—	2	4	no	—
842	C₂²	—	4	4	no	—
843	C₂²	—	4	16	no	—
844	C₂²	—	4	4	no	—
845	C₂²	—	8	8	no	—
846	C₂²	—	8	4	no	—
847	C₂²	—	8	8	no	—
848	C₂²	—	16	4	no	—
849	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
850	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
851	C₂²	C₁₃×#585	1	4	yes	—
852	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
853	C₄	—	2	4	no	—
854	C₄	—	2	4	no	—
855	C₄	—	2	4	no	—
856	C₄	—	2	8	no	—
857	C₄	—	2	8	no	—
858	C₄	—	2	16	no	—
859	C₂	—	2	2	no	—
860	C₂	—	2	4	no	—
861	C₂	—	2	4	no	—
862	C₂	—	4	2	no	—
863	C₂	—	4	4	no	—
864	C₂	—	4	8	no	—
865	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
866	C₂	C₂×C₁₃×#585	1	2	yes	—

	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×#3535	C₂	semidirect
2. C₁₃×#3534	C₂	semidirect
3. C₁₃×#3533	C₂	semidirect
4. C₁₃×#3513	C₂	semidirect
5. C₁₃×#3492	C₂	semidirect
6. C₁₃×#3491	C₂	semidirect
7. C₁₃×#3490	C₂	semidirect
8. C₁₃×#3490	C₂	semidirect
9. C₁₃×#3485	C₂	semidirect
10. C₁₃×#3484	C₂	semidirect
11. C₂×C₁₃×#525	C₂	semidirect
12. C₂²×C₁₃×#123	C₂	semidirect
13. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
14. C₂²×C₁₃×#41	C₂²	semidirect
16. C₂⁴×C₄×C₁₃	C₂²	semidirect
17. C₁₃×#563	C₂²	semidirect
18. C₁₃×#562	C₂²	semidirect
19. C₁₃×#560	C₂²	semidirect
20. C₁₃×#559	C₂²	semidirect
21. C₁₃×#554	C₂²	semidirect
22. C₁₃×#553	C₂²	semidirect
23. C₁₃×#553	C₂²	semidirect
24. C₁₃×#552	C₂²	semidirect
25. C₁₃×#552	C₂²	semidirect
26. C₁₃×#551	C₂²	semidirect
27. C₁₃×#551	C₂²	semidirect
28. C₁₃×#551	C₂²	semidirect
29. C₁₃×#551	C₂²	semidirect
30. C₁₃×#551	C₂²	semidirect
31. C₁₃×#547	C₂²	semidirect
32. C₁₃×#547	C₂²	semidirect
33. C₁₃×#546	C₂²	semidirect
34. C₁₃×#546	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
36. C₁₃×#546	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
38. D₄²×C₁₃	C₂²	semidirect
39. C₁₃×#544	C₂²	semidirect
40. C₁₃×#543	C₂²	semidirect
41. C₁₃×#543	C₂²	semidirect
42. C₁₃×#542	C₂²	semidirect
43. C₁₃×#540	C₂²	semidirect
44. C₁₃×#539	C₂²	semidirect
45. C₁₃×#539	C₂²	semidirect
46. C₁₃×#539	C₂²	semidirect
47. C₁₃×#539	C₂²	semidirect
48. C₁₃×#538	C₂²	semidirect
49. C₁₃×#538	C₂²	semidirect
50. C₁₃×#538	C₂²	semidirect
51. C₁₃×#538	C₂²	semidirect
52. C₁₃×#537	C₂²	semidirect
53. C₁₃×#536	C₂²	semidirect
54. C₁₃×#535	C₂²	semidirect
56. C₁₃×#534	C₂²	semidirect
57. C₁₃×#534	C₂²	semidirect
58. C₁₃×#534	C₂²	semidirect
59. C₁₃×#534	C₂²	semidirect
60. C₁₃×#529	C₂²	semidirect
61. C₁₃×#525	C₂²	semidirect
62. C₁₃×#525	C₂²	semidirect
63. C₁₃×#525	C₂²	semidirect
64. C₁₃×#525	C₂²	semidirect
65. C₁₃×#525	C₂²	semidirect
66. C₁₃×#525	C₂²	semidirect
67. C₁₃×#525	C₂²	semidirect
68. C₂×C₁₃×#123	C₂²	semidirect
69. C₂×C₁₃×#123	C₂²	semidirect
70. C₂×C₁₃×#123	C₂²	semidirect
71. C₂×C₁₃×#123	C₂²	semidirect
72. C₂×C₁₃×#123	C₂²	semidirect
73. C₂×C₁₃×#123	C₂²	semidirect
74. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
75. C₂×C₁₃×#121	C₂²	semidirect
76. C₂×C₁₃×#120	C₂²	semidirect
77. C₂×C₁₃×#120	C₂²	semidirect
78. C₁₃×#520	C₂²	semidirect
79. C₁₃×#518	C₂²	semidirect
80. C₁₃×#518	C₂²	semidirect
81. C₁₃×#518	C₂²	semidirect
82. C₂×C₄×D₄×C₁₃	C₂²	semidirect
83. C₂×C₁₃×#117	C₂²	semidirect
84. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
85. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
86. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
95. C₂×C₁₃×#41	C₂³	semidirect
96. C₂²×Q₈×C₁₃	C₂³	semidirect
106. C₂²×D₄×C₁₃	C₂³	semidirect
115. C₂³×C₄×C₁₃	C₂³	semidirect
116. C₁₃×C₄⋊Q₈	C₂³	semidirect
118. C₁₃×#126	C₂³	semidirect
119. C₁₃×#126	C₂³	semidirect
120. C₁₃×#126	C₂³	semidirect
121. C₁₃×#126	C₂³	semidirect
122. C₁₃×#126	C₂³	semidirect
123. C₁₃×#125	C₂³	semidirect
124. C₁₃×#125	C₂³	semidirect
125. C₁₃×#125	C₂³	semidirect
127. C₁₃×#124	C₂³	semidirect
128. C₁₃×#124	C₂³	semidirect
129. C₁₃×#124	C₂³	semidirect
141. C₁₃×#123	C₂³	semidirect
142. C₁₃×#123	C₂³	semidirect
143. C₁₃×#123	C₂³	semidirect
144. C₁₃×#123	C₂³	semidirect
145. C₁₃×#123	C₂³	semidirect
146. C₁₃×#123	C₂³	semidirect
147. C₁₃×#123	C₂³	semidirect
148. C₁₃×#123	C₂³	semidirect
149. C₁₃×#123	C₂³	semidirect
155. C₁₃×C₂²⋊Q₈	C₂³	semidirect
156. C₁₃×C₂²⋊Q₈	C₂³	semidirect
157. C₁₃×C₂²⋊Q₈	C₂³	semidirect
158. C₁₃×C₂²⋊Q₈	C₂³	semidirect
159. C₁₃×C₂²⋊Q₈	C₂³	semidirect
160. C₁₃×C₂²⋊Q₈	C₂³	semidirect
161. C₁₃×C₂²⋊Q₈	C₂³	semidirect
162. C₁₃×C₂²⋊Q₈	C₂³	semidirect
171. C₁₃×#121	C₂³	semidirect
172. C₁₃×#121	C₂³	semidirect
173. C₁₃×#121	C₂³	semidirect
174. C₁₃×#121	C₂³	semidirect
175. C₁₃×#121	C₂³	semidirect
176. C₁₃×#121	C₂³	semidirect
184. C₁₃×#120	C₂³	semidirect
185. C₁₃×#120	C₂³	semidirect
186. C₄×Q₈×C₁₃	C₂³	semidirect
193. C₄×D₄×C₁₃	C₂³	semidirect
194. C₄×D₄×C₁₃	C₂³	semidirect
195. C₄×D₄×C₁₃	C₂³	semidirect
196. C₄×D₄×C₁₃	C₂³	semidirect
197. C₄×D₄×C₁₃	C₂³	semidirect
198. C₄×D₄×C₁₃	C₂³	semidirect
202. C₁₃×#117	C₂³	semidirect
203. C₁₃×#117	C₂³	semidirect
204. C₁₃×#117	C₂³	semidirect
205. C₁₃×#117	C₂³	semidirect
210. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
211. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
212. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
224. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
225. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
226. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
227. C₂×C₄²×C₁₃	C₂³	semidirect
228. #62820	C₁₃	direct (N × H)
330. #3535	C₂×C₁₃	semidirect
331. #3534	C₂×C₁₃	semidirect
332. #3533	C₂×C₁₃	semidirect
333. #3513	C₂×C₁₃	semidirect
334. #3492	C₂×C₁₃	semidirect
335. #3491	C₂×C₁₃	semidirect
336. #3490	C₂×C₁₃	semidirect
337. #3490	C₂×C₁₃	semidirect
338. #3485	C₂×C₁₃	semidirect
339. #3484	C₂×C₁₃	semidirect
340. C₂×#525	C₂×C₁₃	semidirect
341. C₂²×#123	C₂×C₁₃	semidirect
410. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
411. C₂²×#41	C₂²×C₁₃	semidirect
413. C₂⁴×C₄	C₂²×C₁₃	semidirect
414. #563	C₂²×C₁₃	semidirect
415. #562	C₂²×C₁₃	semidirect
416. #560	C₂²×C₁₃	semidirect
417. #559	C₂²×C₁₃	semidirect
418. #554	C₂²×C₁₃	semidirect
419. #553	C₂²×C₁₃	semidirect
420. #553	C₂²×C₁₃	semidirect
421. #552	C₂²×C₁₃	semidirect
422. #552	C₂²×C₁₃	semidirect
423. #551	C₂²×C₁₃	semidirect
424. #551	C₂²×C₁₃	semidirect
425. #551	C₂²×C₁₃	semidirect
426. #551	C₂²×C₁₃	semidirect
427. #551	C₂²×C₁₃	semidirect
428. #547	C₂²×C₁₃	semidirect
429. #547	C₂²×C₁₃	semidirect
430. #546	C₂²×C₁₃	semidirect
431. #546	C₂²×C₁₃	semidirect
432. #546	C₂²×C₁₃	semidirect
433. #546	C₂²×C₁₃	semidirect
434. #546	C₂²×C₁₃	semidirect
435. D₄²	C₂²×C₁₃	semidirect
436. #544	C₂²×C₁₃	semidirect
437. #543	C₂²×C₁₃	semidirect
438. #543	C₂²×C₁₃	semidirect
439. #542	C₂²×C₁₃	semidirect
440. #540	C₂²×C₁₃	semidirect
441. #539	C₂²×C₁₃	semidirect
442. #539	C₂²×C₁₃	semidirect
443. #539	C₂²×C₁₃	semidirect
444. #539	C₂²×C₁₃	semidirect
445. #538	C₂²×C₁₃	semidirect
446. #538	C₂²×C₁₃	semidirect
447. #538	C₂²×C₁₃	semidirect
448. #538	C₂²×C₁₃	semidirect
449. #537	C₂²×C₁₃	semidirect
450. #536	C₂²×C₁₃	semidirect
451. #535	C₂²×C₁₃	semidirect
453. #534	C₂²×C₁₃	semidirect
454. #534	C₂²×C₁₃	semidirect
455. #534	C₂²×C₁₃	semidirect
456. #534	C₂²×C₁₃	semidirect
457. #529	C₂²×C₁₃	semidirect
458. #525	C₂²×C₁₃	semidirect
459. #525	C₂²×C₁₃	semidirect
460. #525	C₂²×C₁₃	semidirect
461. #525	C₂²×C₁₃	semidirect
462. #525	C₂²×C₁₃	semidirect
463. #525	C₂²×C₁₃	semidirect
464. #525	C₂²×C₁₃	semidirect
465. C₂×#123	C₂²×C₁₃	semidirect
466. C₂×#123	C₂²×C₁₃	semidirect
467. C₂×#123	C₂²×C₁₃	semidirect
468. C₂×#123	C₂²×C₁₃	semidirect
469. C₂×#123	C₂²×C₁₃	semidirect
470. C₂×#123	C₂²×C₁₃	semidirect
471. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
472. C₂×#121	C₂²×C₁₃	semidirect
473. C₂×#120	C₂²×C₁₃	semidirect
474. C₂×#120	C₂²×C₁₃	semidirect
475. #520	C₂²×C₁₃	semidirect
476. #518	C₂²×C₁₃	semidirect
477. #518	C₂²×C₁₃	semidirect
478. #518	C₂²×C₁₃	semidirect
479. C₂×C₄×D₄	C₂²×C₁₃	semidirect
480. C₂×#117	C₂²×C₁₃	semidirect
481. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
482. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
483. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
520. C₂×#41	C₂³×C₁₃	semidirect
521. C₂²×Q₈	C₂³×C₁₃	semidirect
531. C₂²×D₄	C₂³×C₁₃	semidirect
540. C₂³×C₄	C₂³×C₁₃	semidirect
541. C₄⋊Q₈	C₂³×C₁₃	semidirect
543. #126	C₂³×C₁₃	semidirect
544. #126	C₂³×C₁₃	semidirect
545. #126	C₂³×C₁₃	semidirect
546. #126	C₂³×C₁₃	semidirect
547. #126	C₂³×C₁₃	semidirect
548. #125	C₂³×C₁₃	semidirect
549. #125	C₂³×C₁₃	semidirect
550. #125	C₂³×C₁₃	semidirect
552. #124	C₂³×C₁₃	semidirect
553. #124	C₂³×C₁₃	semidirect
554. #124	C₂³×C₁₃	semidirect
566. #123	C₂³×C₁₃	semidirect
567. #123	C₂³×C₁₃	semidirect
568. #123	C₂³×C₁₃	semidirect
569. #123	C₂³×C₁₃	semidirect
570. #123	C₂³×C₁₃	semidirect
571. #123	C₂³×C₁₃	semidirect
572. #123	C₂³×C₁₃	semidirect
573. #123	C₂³×C₁₃	semidirect
574. #123	C₂³×C₁₃	semidirect
580. C₂²⋊Q₈	C₂³×C₁₃	semidirect
581. C₂²⋊Q₈	C₂³×C₁₃	semidirect
582. C₂²⋊Q₈	C₂³×C₁₃	semidirect
583. C₂²⋊Q₈	C₂³×C₁₃	semidirect
584. C₂²⋊Q₈	C₂³×C₁₃	semidirect
585. C₂²⋊Q₈	C₂³×C₁₃	semidirect
586. C₂²⋊Q₈	C₂³×C₁₃	semidirect
587. C₂²⋊Q₈	C₂³×C₁₃	semidirect
596. #121	C₂³×C₁₃	semidirect
597. #121	C₂³×C₁₃	semidirect
598. #121	C₂³×C₁₃	semidirect
599. #121	C₂³×C₁₃	semidirect
600. #121	C₂³×C₁₃	semidirect
601. #121	C₂³×C₁₃	semidirect
609. #120	C₂³×C₁₃	semidirect
610. #120	C₂³×C₁₃	semidirect
611. C₄×Q₈	C₂³×C₁₃	semidirect
618. C₄×D₄	C₂³×C₁₃	semidirect
619. C₄×D₄	C₂³×C₁₃	semidirect
620. C₄×D₄	C₂³×C₁₃	semidirect
621. C₄×D₄	C₂³×C₁₃	semidirect
622. C₄×D₄	C₂³×C₁₃	semidirect
623. C₄×D₄	C₂³×C₁₃	semidirect
627. #117	C₂³×C₁₃	semidirect
628. #117	C₂³×C₁₃	semidirect
629. #117	C₂³×C₁₃	semidirect
630. #117	C₂³×C₁₃	semidirect
635. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
636. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
637. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
649. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
650. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
651. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
652. C₂×C₄²	C₂³×C₁₃	semidirect
762. C₁₃	#62820	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×#3535	2
C₁₃×#3534	2
C₁₃×#3533	2
C₁₃×#3513	2
C₁₃×#3492	2
C₁₃×#3491	2
C₁₃×#3490	2
C₁₃×#3485	2
C₁₃×#3484	2
C₂×C₁₃×#525	2
C₂²×C₁₃×#123	2
#62820	13

Subgroups — C13×#62820 #15749159

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62820 #15749159