Subgroups — C₂×C₁₃×#3558 #15749069

Order 3328.

8122 conjugacy classes of subgroups.

The subgroup lattice has 880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃×#562	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₃×H(3,𝔽₄)	C₂	1	2	yes	maximal, complemented
4	C₂×C₁₃×#559	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₃×#548	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₃×#546	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₃×#546	C₂	1	4	yes	maximal, complemented
8	C₂×D₄²×C₁₃	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#542	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#538	C₂	1	4	yes	maximal, complemented
12	C₂×C₁₃×#535	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₃×#534	C₂	1	2	yes	maximal, complemented
14	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
18	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
19	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
20	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₁₃	C₂²	1	4	yes	complemented
22	C₂³×D₄×C₁₃	C₂²	1	2	yes	complemented
23	C₁₃×#562	C₂²	1	32	yes	complemented
24	C₁₃×H(3,𝔽₄)	C₂²	1	32	yes	complemented
25	C₁₃×#559	C₂²	1	32	yes	complemented
26	C₁₃×#548	C₂²	1	32	yes	complemented
27	C₁₃×#546	C₂²	1	32	yes	complemented
28	C₁₃×#546	C₂²	1	64	yes	complemented
29	D₄²×C₁₃	C₂²	1	32	yes	complemented
30	C₁₃×#542	C₂²	1	32	yes	complemented
31	C₁₃×#538	C₂²	1	32	yes	complemented
32	C₁₃×#538	C₂²	1	64	yes	complemented
33	C₁₃×#535	C₂²	1	32	yes	complemented
34	C₁₃×#534	C₂²	1	32	yes	complemented
35	C₁₃×#532	C₂²	1	16	yes	complemented
36	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#127	C₂²	1	2	yes	—
38	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#529	C₂²	1	16	yes	complemented
40	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
41	C₂×C₁₃×#126	C₂²	1	4	yes	complemented
42	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
45	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
46	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
47	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
48	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
49	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
50	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
51	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
52	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#124	C₂²	1	16	yes	complemented
54	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
55	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
56	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
57	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
58	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
59	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
60	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
61	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
63	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#121	C₂²	1	2	yes	—
65	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
66	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
67	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
68	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
69	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
70	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
71	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
72	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
73	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
74	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
75	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
76	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
77	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
79	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
80	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
82	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
83	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
84	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
85	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
86	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
87	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
88	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
89	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
90	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
91	C₂⁵×C₁₃	C₂³	1	2	yes	—
92	C₂⁵×C₁₃	C₂³	1	4	yes	—
93	C₂×C₁₃×#41	—	4	8	no	—
94	C₂×C₁₃×#41	—	4	8	no	—
95	C₂×C₁₃×#41	C₂³	1	16	yes	complemented
96	C₂×C₁₃×#41	C₂³	1	16	yes	complemented
97	C₂²×Q₈×C₁₃	—	4	4	no	—
98	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
99	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
100	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
101	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
102	C₂²×Q₈×C₁₃	C₂³	1	8	yes	complemented
103	C₂²×D₄×C₁₃	—	4	4	no	—
104	C₂²×D₄×C₁₃	—	4	8	no	—
105	C₂²×D₄×C₁₃	—	4	16	no	—
106	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
107	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
108	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
109	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
111	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
112	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
115	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
118	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	32	yes	complemented
121	C₂²×D₄×C₁₃	C₂³	1	16	yes	complemented
122	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
128	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
129	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
130	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
131	C₁₃×#127	C₂³	1	16	yes	—
132	C₁₃×#127	C₂³	1	8	yes	complemented
133	C₁₃×#126	C₂³	1	16	yes	complemented
134	C₁₃×#126	C₂³	1	32	yes	complemented
135	C₁₃×#125	C₂³	1	8	yes	complemented
136	C₁₃×#124	C₂³	1	16	yes	complemented
137	C₁₃×#124	C₂³	1	16	yes	complemented
138	C₁₃×#124	C₂³	1	16	yes	complemented
139	C₁₃×#124	C₂³	1	16	yes	complemented
140	C₁₃×#124	C₂³	1	8	yes	complemented
141	C₁₃×#124	C₂³	1	16	yes	complemented
142	C₁₃×#124	C₂³	1	16	yes	complemented
143	C₁₃×#124	C₂³	1	32	yes	complemented
144	C₁₃×#124	C₂³	1	32	yes	complemented
145	C₁₃×#124	C₂³	1	32	yes	complemented
146	C₁₃×#123	C₂³	1	16	yes	complemented
147	C₁₃×#123	C₂³	1	32	yes	complemented
148	C₁₃×#123	C₂³	1	32	yes	complemented
149	C₁₃×#123	C₂³	1	32	yes	complemented
150	C₁₃×#123	C₂³	1	32	yes	complemented
151	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
152	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	complemented
153	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
154	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	complemented
155	C₁₃×#121	C₂³	1	8	yes	—
156	C₁₃×#121	C₂³	1	16	yes	—
157	C₁₃×#121	C₂³	1	16	yes	complemented
158	C₁₃×#121	C₂³	1	16	yes	complemented
159	C₁₃×#121	C₂³	1	32	yes	complemented
160	C₁₃×#121	C₂³	1	32	yes	complemented
161	C₁₃×#121	C₂³	1	32	yes	complemented
162	C₁₃×#121	C₂³	1	32	yes	complemented
163	C₁₃×#121	C₂³	1	32	yes	complemented
164	C₁₃×#120	C₂³	1	32	yes	complemented
165	C₁₃×#120	C₂³	1	32	yes	complemented
166	C₁₃×#120	C₂³	1	32	yes	complemented
167	C₁₃×#120	C₂³	1	32	yes	complemented
168	C₁₃×#120	C₂³	1	32	yes	complemented
169	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
170	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
171	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
172	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
173	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
174	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
175	C₄×D₄×C₁₃	C₂³	1	32	yes	complemented
176	C₄×D₄×C₁₃	C₂³	1	32	yes	complemented
177	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
178	C₁₃×#117	C₂³	1	16	yes	complemented
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
185	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	32	yes	complemented
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
214	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
215	C₂×#3558	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
216	C₂⁴×C₁₃	—	2	8	no	—
217	C₂⁴×C₁₃	—	4	4	no	—
218	C₂⁴×C₁₃	—	4	8	no	—
219	C₂⁴×C₁₃	—	4	8	no	—
220	C₂⁴×C₁₃	—	4	4	no	—
221	C₂⁴×C₁₃	—	4	8	no	—
222	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
223	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
224	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
225	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
226	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
227	C₂⁴×C₁₃	C₂⁴	1	16	yes	—
228	C₁₃×#41	—	4	32	no	—
229	C₁₃×#41	—	4	32	no	—
230	C₂×Q₈×C₁₃	—	2	8	no	—
231	C₂×Q₈×C₁₃	—	4	4	no	—
232	C₂×Q₈×C₁₃	—	4	2	no	—
233	C₂×Q₈×C₁₃	—	4	4	no	—
234	C₂×Q₈×C₁₃	—	4	16	no	—
235	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
236	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
237	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
238	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
239	C₂×D₄×C₁₃	—	2	8	no	—
240	C₂×D₄×C₁₃	—	2	16	no	—
241	C₂×D₄×C₁₃	—	2	8	no	—
242	C₂×D₄×C₁₃	—	2	8	no	—
243	C₂×D₄×C₁₃	—	4	16	no	—
244	C₂×D₄×C₁₃	—	4	32	no	—
245	C₂×D₄×C₁₃	—	4	8	no	—
246	C₂×D₄×C₁₃	—	4	4	no	—
247	C₂×D₄×C₁₃	—	4	8	no	—
248	C₂×D₄×C₁₃	—	4	8	no	—
249	C₂×D₄×C₁₃	—	4	4	no	—
250	C₂×D₄×C₁₃	—	4	2	no	—
251	C₂×D₄×C₁₃	—	4	8	no	—
252	C₂×D₄×C₁₃	—	4	4	no	—
253	C₂×D₄×C₁₃	—	4	8	no	—
254	C₂×D₄×C₁₃	—	4	64	no	—
255	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
256	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
257	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
258	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
259	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
260	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
261	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
262	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
263	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
264	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
265	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
266	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
267	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
268	C₂²×C₄×C₁₃	—	2	4	no	—
269	C₂²×C₄×C₁₃	—	2	4	no	—
270	C₂²×C₄×C₁₃	—	2	8	no	—
271	C₂²×C₄×C₁₃	—	4	2	no	—
272	C₂²×C₄×C₁₃	—	4	8	no	—
273	C₂²×C₄×C₁₃	—	4	4	no	—
274	C₂²×C₄×C₁₃	—	4	8	no	—
275	C₂²×C₄×C₁₃	—	4	8	no	—
276	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
277	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
278	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
279	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
286	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
287	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
290	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
291	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
292	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
295	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
296	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
297	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
298	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
299	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
300	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
301	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
302	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
303	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
304	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
305	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
306	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
307	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
308	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
309	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
310	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
311	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
312	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
313	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
314	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
315	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
316	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
317	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
318	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
319	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
320	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
321	C₄²×C₁₃	C₂⁴	1	4	yes	—
322	C₄²×C₁₃	C₂⁴	1	4	yes	—
323	C₄²×C₁₃	C₂⁴	1	4	yes	—
324	C₄²×C₁₃	C₂⁴	1	4	yes	—
325	C₄²×C₁₃	C₂⁴	1	8	yes	—
326	C₄²×C₁₃	C₂⁴	1	16	yes	—
327	#3558	C₂×C₁₃	1	32	yes	direct product factor
328	C₂×#562	C₂×C₁₃	1	2	yes	complemented
329	C₂×H(3,𝔽₄)	C₂×C₁₃	1	2	yes	complemented
330	C₂×#559	C₂×C₁₃	1	2	yes	complemented
331	C₂×#548	C₂×C₁₃	1	2	yes	complemented
332	C₂×#546	C₂×C₁₃	1	2	yes	complemented
333	C₂×#546	C₂×C₁₃	1	4	yes	complemented
334	C₂×D₄²	C₂×C₁₃	1	2	yes	complemented
335	C₂×#542	C₂×C₁₃	1	2	yes	complemented
336	C₂×#538	C₂×C₁₃	1	2	yes	complemented
337	C₂×#538	C₂×C₁₃	1	4	yes	complemented
338	C₂×#535	C₂×C₁₃	1	2	yes	complemented
339	C₂×#534	C₂×C₁₃	1	2	yes	complemented
340	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
341	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
342	C₂²×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
343	C₂³×C₁₃	—	2	2	no	—
344	C₂³×C₁₃	—	2	2	no	—
345	C₂³×C₁₃	—	2	4	no	—
346	C₂³×C₁₃	—	2	8	no	—
347	C₂³×C₁₃	—	2	8	no	—
348	C₂³×C₁₃	—	2	8	no	—
349	C₂³×C₁₃	—	2	4	no	—
350	C₂³×C₁₃	—	2	8	no	—
351	C₂³×C₁₃	—	2	8	no	—
352	C₂³×C₁₃	—	2	4	no	—
353	C₂³×C₁₃	—	2	8	no	—
354	C₂³×C₁₃	—	2	16	no	—
355	C₂³×C₁₃	—	4	8	no	—
356	C₂³×C₁₃	—	4	16	no	—
357	C₂³×C₁₃	—	4	16	no	—
358	C₂³×C₁₃	—	4	8	no	—
359	C₂³×C₁₃	—	4	16	no	—
360	C₂³×C₁₃	—	8	16	no	—
361	C₂³×C₁₃	—	8	32	no	—
362	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
363	C₂³×C₁₃	C₂⁵	1	4	yes	—
364	C₂³×C₁₃	C₂⁵	1	8	yes	—
365	C₂³×C₁₃	C₂⁵	1	8	yes	—
366	C₂³×C₁₃	C₂⁵	1	2	yes	—
367	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
368	Q₈×C₁₃	—	2	16	no	—
369	Q₈×C₁₃	—	4	8	no	—
370	Q₈×C₁₃	—	4	4	no	—
371	Q₈×C₁₃	—	4	8	no	—
372	D₄×C₁₃	—	2	16	no	—
373	D₄×C₁₃	—	2	32	no	—
374	D₄×C₁₃	—	2	16	no	—
375	D₄×C₁₃	—	2	16	no	—
376	D₄×C₁₃	—	4	16	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	4	no	—
382	D₄×C₁₃	—	4	16	no	—
383	D₄×C₁₃	—	4	8	no	—
384	D₄×C₁₃	—	4	16	no	—
385	C₂×C₄×C₁₃	—	2	2	no	—
386	C₂×C₄×C₁₃	—	2	4	no	—
387	C₂×C₄×C₁₃	—	2	2	no	—
388	C₂×C₄×C₁₃	—	2	2	no	—
389	C₂×C₄×C₁₃	—	2	8	no	—
390	C₂×C₄×C₁₃	—	2	4	no	—
391	C₂×C₄×C₁₃	—	2	8	no	—
392	C₂×C₄×C₁₃	—	2	8	no	—
393	C₂×C₄×C₁₃	—	2	2	no	—
394	C₂×C₄×C₁₃	—	2	2	no	—
395	C₂×C₄×C₁₃	—	2	4	no	—
396	C₂×C₄×C₁₃	—	2	8	no	—
397	C₂×C₄×C₁₃	—	2	16	no	—
398	C₂×C₄×C₁₃	—	4	4	no	—
399	C₂×C₄×C₁₃	—	4	16	no	—
400	C₂×C₄×C₁₃	—	4	8	no	—
401	C₂×C₄×C₁₃	—	4	16	no	—
402	C₂×C₄×C₁₃	—	4	16	no	—
403	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
404	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
405	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
406	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
407	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
408	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
409	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
410	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
411	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
412	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
413	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
414	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
415	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
416	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
417	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
418	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
419	C₂³×D₄	C₂²×C₁₃	1	4	yes	complemented
420	C₂³×D₄	C₂²×C₁₃	1	2	yes	complemented
421	#562	C₂²×C₁₃	1	32	yes	complemented
422	H(3,𝔽₄)	C₂²×C₁₃	1	32	yes	complemented
423	#559	C₂²×C₁₃	1	32	yes	complemented
424	#548	C₂²×C₁₃	1	32	yes	complemented
425	#546	C₂²×C₁₃	1	32	yes	complemented
426	#546	C₂²×C₁₃	1	64	yes	complemented
427	D₄²	C₂²×C₁₃	1	32	yes	complemented
428	#542	C₂²×C₁₃	1	32	yes	complemented
429	#538	C₂²×C₁₃	1	32	yes	complemented
430	#538	C₂²×C₁₃	1	64	yes	complemented
431	#535	C₂²×C₁₃	1	32	yes	complemented
432	#534	C₂²×C₁₃	1	32	yes	complemented
433	#532	C₂²×C₁₃	1	16	yes	complemented
434	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
435	C₂×#127	C₂²×C₁₃	1	2	yes	—
436	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
437	#529	C₂²×C₁₃	1	16	yes	complemented
438	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
439	C₂×#126	C₂²×C₁₃	1	4	yes	complemented
440	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
441	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
442	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
443	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
444	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
445	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
446	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
447	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
448	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
449	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
450	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
451	C₂×#124	C₂²×C₁₃	1	16	yes	complemented
452	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
453	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
454	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
455	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
456	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
457	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
458	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
459	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
460	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
461	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
462	C₂×#121	C₂²×C₁₃	1	2	yes	—
463	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
464	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
465	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
466	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
467	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
468	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
469	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
470	C₂×#120	C₂²×C₁₃	1	4	yes	complemented
471	C₂×#120	C₂²×C₁₃	1	4	yes	complemented
472	C₂×#120	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	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
476	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
477	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
478	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
479	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
480	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
481	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
482	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
483	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
484	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
485	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
486	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
487	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	complemented
488	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
489	C₂²×C₁₃	—	2	2	no	—
490	C₂²×C₁₃	—	2	2	no	—
491	C₂²×C₁₃	—	2	8	no	—
492	C₂²×C₁₃	—	2	4	no	—
493	C₂²×C₁₃	—	2	8	no	—
494	C₂²×C₁₃	—	2	8	no	—
495	C₂²×C₁₃	—	2	8	no	—
496	C₂²×C₁₃	—	2	4	no	—
497	C₂²×C₁₃	—	2	8	no	—
498	C₂²×C₁₃	—	2	8	no	—
499	C₂²×C₁₃	—	2	4	no	—
500	C₂²×C₁₃	—	2	8	no	—
501	C₂²×C₁₃	—	4	16	no	—
502	C₂²×C₁₃	—	4	8	no	—
503	C₂²×C₁₃	—	4	16	no	—
504	C₂²×C₁₃	—	8	16	no	—
505	C₂²×C₁₃	—	8	32	no	—
506	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
507	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
508	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
509	C₂²×C₁₃	#585	1	2	yes	—
510	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
511	C₄×C₁₃	—	2	2	no	—
512	C₄×C₁₃	—	2	4	no	—
513	C₄×C₁₃	—	2	2	no	—
514	C₄×C₁₃	—	2	2	no	—
515	C₄×C₁₃	—	2	4	no	—
516	C₄×C₁₃	—	2	8	no	—
517	C₄×C₁₃	—	2	8	no	—
518	C₄×C₁₃	—	2	2	no	—
519	C₄×C₁₃	—	2	2	no	—
520	C₄×C₁₃	—	2	4	no	—
521	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
522	C₂⁵	C₂³×C₁₃	1	2	yes	—
523	C₂⁵	C₂³×C₁₃	1	4	yes	—
524	C₂×#41	—	4	8	no	—
525	C₂×#41	—	4	8	no	—
526	C₂×#41	C₂³×C₁₃	1	16	yes	complemented
527	C₂×#41	C₂³×C₁₃	1	16	yes	complemented
528	C₂²×Q₈	—	4	4	no	—
529	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
530	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
531	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
532	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
533	C₂²×Q₈	C₂³×C₁₃	1	8	yes	complemented
534	C₂²×D₄	—	4	4	no	—
535	C₂²×D₄	—	4	8	no	—
536	C₂²×D₄	—	4	16	no	—
537	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
538	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
539	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
540	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
541	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
542	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
543	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
544	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
545	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
546	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
547	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
548	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
549	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
550	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
551	C₂²×D₄	C₂³×C₁₃	1	32	yes	complemented
552	C₂²×D₄	C₂³×C₁₃	1	16	yes	complemented
553	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
554	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
555	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
556	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
557	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
558	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
559	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
560	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
561	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
562	#127	C₂³×C₁₃	1	16	yes	—
563	#127	C₂³×C₁₃	1	8	yes	complemented
564	#126	C₂³×C₁₃	1	16	yes	complemented
565	#126	C₂³×C₁₃	1	32	yes	complemented
566	#125	C₂³×C₁₃	1	8	yes	complemented
567	#124	C₂³×C₁₃	1	16	yes	complemented
568	#124	C₂³×C₁₃	1	16	yes	complemented
569	#124	C₂³×C₁₃	1	16	yes	complemented
570	#124	C₂³×C₁₃	1	16	yes	complemented
571	#124	C₂³×C₁₃	1	8	yes	complemented
572	#124	C₂³×C₁₃	1	16	yes	complemented
573	#124	C₂³×C₁₃	1	16	yes	complemented
574	#124	C₂³×C₁₃	1	32	yes	complemented
575	#124	C₂³×C₁₃	1	32	yes	complemented
576	#124	C₂³×C₁₃	1	32	yes	complemented
577	#123	C₂³×C₁₃	1	16	yes	complemented
578	#123	C₂³×C₁₃	1	32	yes	complemented
579	#123	C₂³×C₁₃	1	32	yes	complemented
580	#123	C₂³×C₁₃	1	32	yes	complemented
581	#123	C₂³×C₁₃	1	32	yes	complemented
582	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
583	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	complemented
584	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
585	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	complemented
586	#121	C₂³×C₁₃	1	8	yes	—
587	#121	C₂³×C₁₃	1	16	yes	—
588	#121	C₂³×C₁₃	1	16	yes	complemented
589	#121	C₂³×C₁₃	1	16	yes	complemented
590	#121	C₂³×C₁₃	1	32	yes	complemented
591	#121	C₂³×C₁₃	1	32	yes	complemented
592	#121	C₂³×C₁₃	1	32	yes	complemented
593	#121	C₂³×C₁₃	1	32	yes	complemented
594	#121	C₂³×C₁₃	1	32	yes	complemented
595	#120	C₂³×C₁₃	1	32	yes	complemented
596	#120	C₂³×C₁₃	1	32	yes	complemented
597	#120	C₂³×C₁₃	1	32	yes	complemented
598	#120	C₂³×C₁₃	1	32	yes	complemented
599	#120	C₂³×C₁₃	1	32	yes	complemented
600	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
601	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
602	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
603	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
604	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
605	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
606	C₄×D₄	C₂³×C₁₃	1	32	yes	complemented
607	C₄×D₄	C₂³×C₁₃	1	32	yes	complemented
608	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
609	#117	C₂³×C₁₃	1	16	yes	complemented
610	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
611	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
612	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
613	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
614	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
616	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
617	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
620	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
621	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
622	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
629	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
630	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
632	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
633	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
634	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
636	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
637	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
638	C₂×C₂²⋊C₄	C₂³×C₁₃	1	32	yes	complemented
639	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
640	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
641	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
642	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
643	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
644	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
645	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
646	C₂×C₁₃	—	2	4	no	—
647	C₂×C₁₃	—	4	8	no	—
648	C₂×C₁₃	—	4	4	no	—
649	C₂×C₁₃	—	4	8	no	—
650	C₂×C₁₃	#3558	1	4	yes	direct product factor
651	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
653	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
654	C₂⁴	—	2	8	no	—
655	C₂⁴	—	4	4	no	—
656	C₂⁴	—	4	8	no	—
657	C₂⁴	—	4	8	no	—
658	C₂⁴	—	4	4	no	—
659	C₂⁴	—	4	8	no	—
660	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
661	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
662	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
663	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
664	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
665	C₂⁴	C₂⁴×C₁₃	1	16	yes	—
666	#41	—	4	32	no	—
667	#41	—	4	32	no	—
668	C₂×Q₈	—	2	8	no	—
669	C₂×Q₈	—	4	4	no	—
670	C₂×Q₈	—	4	4	no	—
671	C₂×Q₈	—	4	2	no	—
672	C₂×Q₈	—	4	16	no	—
673	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
674	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
675	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
676	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
677	C₂×D₄	—	2	8	no	—
678	C₂×D₄	—	2	16	no	—
679	C₂×D₄	—	2	8	no	—
680	C₂×D₄	—	2	8	no	—
681	C₂×D₄	—	4	16	no	—
682	C₂×D₄	—	4	32	no	—
683	C₂×D₄	—	4	8	no	—
684	C₂×D₄	—	4	4	no	—
685	C₂×D₄	—	4	8	no	—
686	C₂×D₄	—	4	8	no	—
687	C₂×D₄	—	4	4	no	—
688	C₂×D₄	—	4	8	no	—
689	C₂×D₄	—	4	4	no	—
690	C₂×D₄	—	4	2	no	—
691	C₂×D₄	—	4	8	no	—
692	C₂×D₄	—	4	64	no	—
693	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
694	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
695	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
696	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
697	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
698	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
699	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
700	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
701	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
702	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
703	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
704	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
705	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
706	C₂²×C₄	—	2	4	no	—
707	C₂²×C₄	—	2	4	no	—
708	C₂²×C₄	—	2	8	no	—
709	C₂²×C₄	—	4	8	no	—
710	C₂²×C₄	—	4	4	no	—
711	C₂²×C₄	—	4	8	no	—
712	C₂²×C₄	—	4	8	no	—
713	C₂²×C₄	—	4	2	no	—
714	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
715	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
716	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
717	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
718	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
719	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
720	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
721	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
722	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
723	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
724	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
725	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
726	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
727	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
728	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
729	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
730	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
731	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
732	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
733	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
734	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
735	C₄⋊C₄	C₂⁴×C₁₃	1	8	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	8	yes	—
740	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
741	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
742	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
743	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
744	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
745	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
746	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
747	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
748	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
749	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
750	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
751	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
752	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
753	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
754	C₂²⋊C₄	C₂⁴×C₁₃	1	8	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	4	yes	—
760	C₄²	C₂⁴×C₁₃	1	4	yes	—
761	C₄²	C₂⁴×C₁₃	1	4	yes	—
762	C₄²	C₂⁴×C₁₃	1	4	yes	—
763	C₄²	C₂⁴×C₁₃	1	8	yes	—
764	C₄²	C₂⁴×C₁₃	1	16	yes	—
765	C₁₃	C₂×#3558	1	1	yes	characteristic, direct product factor, Sylow
766	C₂³	—	2	2	no	—
767	C₂³	—	2	2	no	—
768	C₂³	—	2	4	no	—
769	C₂³	—	2	8	no	—
770	C₂³	—	2	8	no	—
771	C₂³	—	2	8	no	—
772	C₂³	—	2	4	no	—
773	C₂³	—	2	8	no	—
774	C₂³	—	2	8	no	—
775	C₂³	—	2	4	no	—
776	C₂³	—	2	8	no	—
777	C₂³	—	2	16	no	—
778	C₂³	—	4	8	no	—
779	C₂³	—	4	16	no	—
780	C₂³	—	4	16	no	—
781	C₂³	—	4	8	no	—
782	C₂³	—	4	16	no	—
783	C₂³	—	8	16	no	—
784	C₂³	—	8	32	no	—
785	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
786	C₂³	C₂⁵×C₁₃	1	4	yes	—
787	C₂³	C₂⁵×C₁₃	1	8	yes	—
788	C₂³	C₂⁵×C₁₃	1	8	yes	—
789	C₂³	C₂⁵×C₁₃	1	2	yes	—
790	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
791	Q₈	—	2	16	no	—
792	Q₈	—	4	8	no	—
793	Q₈	—	4	8	no	—
794	Q₈	—	4	4	no	—
795	D₄	—	2	16	no	—
796	D₄	—	2	32	no	—
797	D₄	—	2	16	no	—
798	D₄	—	2	16	no	—
799	D₄	—	4	16	no	—
800	D₄	—	4	8	no	—
801	D₄	—	4	16	no	—
802	D₄	—	4	16	no	—
803	D₄	—	4	8	no	—
804	D₄	—	4	4	no	—
805	D₄	—	4	16	no	—
806	D₄	—	4	8	no	—
807	D₄	—	4	16	no	—
808	C₂×C₄	—	2	2	no	—
809	C₂×C₄	—	2	4	no	—
810	C₂×C₄	—	2	2	no	—
811	C₂×C₄	—	2	2	no	—
812	C₂×C₄	—	2	8	no	—
813	C₂×C₄	—	2	4	no	—
814	C₂×C₄	—	2	8	no	—
815	C₂×C₄	—	2	8	no	—
816	C₂×C₄	—	2	2	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	4	no	—
819	C₂×C₄	—	2	8	no	—
820	C₂×C₄	—	2	16	no	—
821	C₂×C₄	—	4	16	no	—
822	C₂×C₄	—	4	4	no	—
823	C₂×C₄	—	4	8	no	—
824	C₂×C₄	—	4	16	no	—
825	C₂×C₄	—	4	16	no	—
826	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
827	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
828	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
829	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
830	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
831	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
832	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
833	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
834	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
835	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
836	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
837	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
838	C₂²	—	2	8	no	—
839	C₂²	—	2	2	no	—
840	C₂²	—	2	2	no	—
841	C₂²	—	2	4	no	—
842	C₂²	—	2	8	no	—
843	C₂²	—	2	8	no	—
844	C₂²	—	2	8	no	—
845	C₂²	—	2	4	no	—
846	C₂²	—	2	8	no	—
847	C₂²	—	2	8	no	—
848	C₂²	—	2	4	no	—
849	C₂²	—	2	8	no	—
850	C₂²	—	4	16	no	—
851	C₂²	—	4	8	no	—
852	C₂²	—	4	16	no	—
853	C₂²	—	8	16	no	—
854	C₂²	—	8	32	no	—
855	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
856	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
857	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
858	C₂²	C₁₃×#585	1	2	yes	—
859	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
860	C₄	—	2	2	no	—
861	C₄	—	2	4	no	—
862	C₄	—	2	2	no	—
863	C₄	—	2	2	no	—
864	C₄	—	2	4	no	—
865	C₄	—	2	8	no	—
866	C₄	—	2	8	no	—
867	C₄	—	2	2	no	—
868	C₄	—	2	2	no	—
869	C₄	—	2	4	no	—
870	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
871	C₂	—	2	4	no	—
872	C₂	—	4	4	no	—
873	C₂	—	4	8	no	—
874	C₂	—	4	8	no	—
875	C₂	C₁₃×#3558	1	4	yes	direct product factor
876	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
877	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
878	C₂	C₂×C₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	direct (N × H)
2. C₂×C₁₃×#562	C₂	semidirect
3. C₂×C₁₃×H(3,𝔽₄)	C₂	semidirect
4. C₂×C₁₃×#559	C₂	semidirect
5. C₂×C₁₃×#548	C₂	semidirect
6. C₂×C₁₃×#546	C₂	semidirect
7. C₂×C₁₃×#546	C₂	semidirect
8. C₂×D₄²×C₁₃	C₂	semidirect
9. C₂×C₁₃×#542	C₂	semidirect
10. C₂×C₁₃×#538	C₂	semidirect
11. C₂×C₁₃×#538	C₂	semidirect
12. C₂×C₁₃×#535	C₂	semidirect
13. C₂×C₁₃×#534	C₂	semidirect
14. C₂×C₁₃×#532	C₂	semidirect
15. C₂×C₁₃×#529	C₂	semidirect
16. C₂²×C₁₃×#124	C₂	semidirect
17. C₂²×C₁₃×#41	C₂²	semidirect
18. C₂²×C₁₃×#41	C₂²	semidirect
19. C₂³×Q₈×C₁₃	C₂²	semidirect
21. C₂³×D₄×C₁₃	C₂²	semidirect
22. C₂³×D₄×C₁₃	C₂²	semidirect
23. C₁₃×#562	C₂²	semidirect
24. C₁₃×H(3,𝔽₄)	C₂²	semidirect
25. C₁₃×#559	C₂²	semidirect
26. C₁₃×#548	C₂²	semidirect
27. C₁₃×#546	C₂²	semidirect
28. C₁₃×#546	C₂²	semidirect
29. D₄²×C₁₃	C₂²	semidirect
30. C₁₃×#542	C₂²	semidirect
31. C₁₃×#538	C₂²	semidirect
32. C₁₃×#538	C₂²	semidirect
33. C₁₃×#535	C₂²	semidirect
34. C₁₃×#534	C₂²	semidirect
35. C₁₃×#532	C₂²	semidirect
36. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
38. C₂×C₁₃×#127	C₂²	semidirect
39. C₁₃×#529	C₂²	semidirect
40. C₂×C₁₃×#126	C₂²	semidirect
41. C₂×C₁₃×#126	C₂²	semidirect
42. C₂×C₁₃×#125	C₂²	semidirect
43. C₂×C₁₃×#124	C₂²	semidirect
44. C₂×C₁₃×#124	C₂²	semidirect
45. C₂×C₁₃×#124	C₂²	semidirect
46. C₂×C₁₃×#124	C₂²	semidirect
47. C₂×C₁₃×#124	C₂²	semidirect
48. C₂×C₁₃×#124	C₂²	semidirect
49. C₂×C₁₃×#124	C₂²	semidirect
50. C₂×C₁₃×#124	C₂²	semidirect
51. C₂×C₁₃×#124	C₂²	semidirect
52. C₂×C₁₃×#124	C₂²	semidirect
53. C₂×C₁₃×#124	C₂²	semidirect
54. C₂×C₁₃×#123	C₂²	semidirect
55. C₂×C₁₃×#123	C₂²	semidirect
56. C₂×C₁₃×#123	C₂²	semidirect
57. C₂×C₁₃×#123	C₂²	semidirect
58. C₂×C₁₃×#123	C₂²	semidirect
59. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
60. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
61. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
62. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
65. C₂×C₁₃×#121	C₂²	semidirect
66. C₂×C₁₃×#121	C₂²	semidirect
67. C₂×C₁₃×#121	C₂²	semidirect
68. C₂×C₁₃×#121	C₂²	semidirect
69. C₂×C₁₃×#121	C₂²	semidirect
70. C₂×C₁₃×#121	C₂²	semidirect
71. C₂×C₁₃×#121	C₂²	semidirect
72. C₂×C₁₃×#120	C₂²	semidirect
73. C₂×C₁₃×#120	C₂²	semidirect
74. C₂×C₁₃×#120	C₂²	semidirect
75. C₂×C₁₃×#120	C₂²	semidirect
76. C₂×C₁₃×#120	C₂²	semidirect
77. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
78. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
79. C₂×C₄×D₄×C₁₃	C₂²	semidirect
80. C₂×C₄×D₄×C₁₃	C₂²	semidirect
81. C₂×C₄×D₄×C₁₃	C₂²	semidirect
82. C₂×C₄×D₄×C₁₃	C₂²	semidirect
83. C₂×C₄×D₄×C₁₃	C₂²	semidirect
84. C₂×C₄×D₄×C₁₃	C₂²	semidirect
85. C₂×C₄×D₄×C₁₃	C₂²	semidirect
86. C₂×C₁₃×#117	C₂²	semidirect
87. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
88. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
89. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
90. C₂²×C₄²×C₁₃	C₂²	semidirect
95. C₂×C₁₃×#41	C₂³	semidirect
96. C₂×C₁₃×#41	C₂³	semidirect
102. C₂²×Q₈×C₁₃	C₂³	semidirect
120. C₂²×D₄×C₁₃	C₂³	semidirect
121. C₂²×D₄×C₁₃	C₂³	semidirect
130. C₁₃×C₄⋊Q₈	C₂³	semidirect
132. C₁₃×#127	C₂³	semidirect
133. C₁₃×#126	C₂³	semidirect
134. C₁₃×#126	C₂³	semidirect
135. C₁₃×#125	C₂³	semidirect
136. C₁₃×#124	C₂³	semidirect
137. C₁₃×#124	C₂³	semidirect
138. C₁₃×#124	C₂³	semidirect
139. C₁₃×#124	C₂³	semidirect
140. C₁₃×#124	C₂³	semidirect
141. C₁₃×#124	C₂³	semidirect
142. C₁₃×#124	C₂³	semidirect
143. C₁₃×#124	C₂³	semidirect
144. C₁₃×#124	C₂³	semidirect
145. C₁₃×#124	C₂³	semidirect
146. C₁₃×#123	C₂³	semidirect
147. C₁₃×#123	C₂³	semidirect
148. C₁₃×#123	C₂³	semidirect
149. C₁₃×#123	C₂³	semidirect
150. C₁₃×#123	C₂³	semidirect
151. C₁₃×C₂²⋊Q₈	C₂³	semidirect
152. C₁₃×C₂²⋊Q₈	C₂³	semidirect
153. C₁₃×C₂²⋊Q₈	C₂³	semidirect
154. C₁₃×C₂²⋊Q₈	C₂³	semidirect
157. C₁₃×#121	C₂³	semidirect
158. C₁₃×#121	C₂³	semidirect
159. C₁₃×#121	C₂³	semidirect
160. C₁₃×#121	C₂³	semidirect
161. C₁₃×#121	C₂³	semidirect
162. C₁₃×#121	C₂³	semidirect
163. C₁₃×#121	C₂³	semidirect
164. C₁₃×#120	C₂³	semidirect
165. C₁₃×#120	C₂³	semidirect
166. C₁₃×#120	C₂³	semidirect
167. C₁₃×#120	C₂³	semidirect
168. C₁₃×#120	C₂³	semidirect
169. C₄×Q₈×C₁₃	C₂³	semidirect
170. C₄×Q₈×C₁₃	C₂³	semidirect
171. C₄×D₄×C₁₃	C₂³	semidirect
172. C₄×D₄×C₁₃	C₂³	semidirect
173. C₄×D₄×C₁₃	C₂³	semidirect
174. C₄×D₄×C₁₃	C₂³	semidirect
175. C₄×D₄×C₁₃	C₂³	semidirect
176. C₄×D₄×C₁₃	C₂³	semidirect
177. C₄×D₄×C₁₃	C₂³	semidirect
178. C₁₃×#117	C₂³	semidirect
205. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
206. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
207. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
214. C₂×C₄²×C₁₃	C₂³	semidirect
215. C₂×#3558	C₁₃	direct (N × H)
327. #3558	C₂×C₁₃	direct (N × H)
328. C₂×#562	C₂×C₁₃	semidirect
329. C₂×H(3,𝔽₄)	C₂×C₁₃	semidirect
330. C₂×#559	C₂×C₁₃	semidirect
331. C₂×#548	C₂×C₁₃	semidirect
332. C₂×#546	C₂×C₁₃	semidirect
333. C₂×#546	C₂×C₁₃	semidirect
334. C₂×D₄²	C₂×C₁₃	semidirect
335. C₂×#542	C₂×C₁₃	semidirect
336. C₂×#538	C₂×C₁₃	semidirect
337. C₂×#538	C₂×C₁₃	semidirect
338. C₂×#535	C₂×C₁₃	semidirect
339. C₂×#534	C₂×C₁₃	semidirect
340. C₂×#532	C₂×C₁₃	semidirect
341. C₂×#529	C₂×C₁₃	semidirect
342. C₂²×#124	C₂×C₁₃	semidirect
415. C₂²×#41	C₂²×C₁₃	semidirect
416. C₂²×#41	C₂²×C₁₃	semidirect
417. C₂³×Q₈	C₂²×C₁₃	semidirect
419. C₂³×D₄	C₂²×C₁₃	semidirect
420. C₂³×D₄	C₂²×C₁₃	semidirect
421. #562	C₂²×C₁₃	semidirect
422. H(3,𝔽₄)	C₂²×C₁₃	semidirect
423. #559	C₂²×C₁₃	semidirect
424. #548	C₂²×C₁₃	semidirect
425. #546	C₂²×C₁₃	semidirect
426. #546	C₂²×C₁₃	semidirect
427. D₄²	C₂²×C₁₃	semidirect
428. #542	C₂²×C₁₃	semidirect
429. #538	C₂²×C₁₃	semidirect
430. #538	C₂²×C₁₃	semidirect
431. #535	C₂²×C₁₃	semidirect
432. #534	C₂²×C₁₃	semidirect
433. #532	C₂²×C₁₃	semidirect
434. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
436. C₂×#127	C₂²×C₁₃	semidirect
437. #529	C₂²×C₁₃	semidirect
438. C₂×#126	C₂²×C₁₃	semidirect
439. C₂×#126	C₂²×C₁₃	semidirect
440. C₂×#125	C₂²×C₁₃	semidirect
441. C₂×#124	C₂²×C₁₃	semidirect
442. C₂×#124	C₂²×C₁₃	semidirect
443. C₂×#124	C₂²×C₁₃	semidirect
444. C₂×#124	C₂²×C₁₃	semidirect
445. C₂×#124	C₂²×C₁₃	semidirect
446. C₂×#124	C₂²×C₁₃	semidirect
447. C₂×#124	C₂²×C₁₃	semidirect
448. C₂×#124	C₂²×C₁₃	semidirect
449. C₂×#124	C₂²×C₁₃	semidirect
450. C₂×#124	C₂²×C₁₃	semidirect
451. C₂×#124	C₂²×C₁₃	semidirect
452. C₂×#123	C₂²×C₁₃	semidirect
453. C₂×#123	C₂²×C₁₃	semidirect
454. C₂×#123	C₂²×C₁₃	semidirect
455. C₂×#123	C₂²×C₁₃	semidirect
456. C₂×#123	C₂²×C₁₃	semidirect
457. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
458. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
459. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
460. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
463. C₂×#121	C₂²×C₁₃	semidirect
464. C₂×#121	C₂²×C₁₃	semidirect
465. C₂×#121	C₂²×C₁₃	semidirect
466. C₂×#121	C₂²×C₁₃	semidirect
467. C₂×#121	C₂²×C₁₃	semidirect
468. C₂×#121	C₂²×C₁₃	semidirect
469. C₂×#121	C₂²×C₁₃	semidirect
470. C₂×#120	C₂²×C₁₃	semidirect
471. C₂×#120	C₂²×C₁₃	semidirect
472. C₂×#120	C₂²×C₁₃	semidirect
473. C₂×#120	C₂²×C₁₃	semidirect
474. C₂×#120	C₂²×C₁₃	semidirect
475. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
476. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
477. C₂×C₄×D₄	C₂²×C₁₃	semidirect
478. C₂×C₄×D₄	C₂²×C₁₃	semidirect
479. C₂×C₄×D₄	C₂²×C₁₃	semidirect
480. C₂×C₄×D₄	C₂²×C₁₃	semidirect
481. C₂×C₄×D₄	C₂²×C₁₃	semidirect
482. C₂×C₄×D₄	C₂²×C₁₃	semidirect
483. C₂×C₄×D₄	C₂²×C₁₃	semidirect
484. C₂×#117	C₂²×C₁₃	semidirect
485. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
486. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
487. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
488. C₂²×C₄²	C₂²×C₁₃	semidirect
526. C₂×#41	C₂³×C₁₃	semidirect
527. C₂×#41	C₂³×C₁₃	semidirect
533. C₂²×Q₈	C₂³×C₁₃	semidirect
551. C₂²×D₄	C₂³×C₁₃	semidirect
552. C₂²×D₄	C₂³×C₁₃	semidirect
561. C₄⋊Q₈	C₂³×C₁₃	semidirect
563. #127	C₂³×C₁₃	semidirect
564. #126	C₂³×C₁₃	semidirect
565. #126	C₂³×C₁₃	semidirect
566. #125	C₂³×C₁₃	semidirect
567. #124	C₂³×C₁₃	semidirect
568. #124	C₂³×C₁₃	semidirect
569. #124	C₂³×C₁₃	semidirect
570. #124	C₂³×C₁₃	semidirect
571. #124	C₂³×C₁₃	semidirect
572. #124	C₂³×C₁₃	semidirect
573. #124	C₂³×C₁₃	semidirect
574. #124	C₂³×C₁₃	semidirect
575. #124	C₂³×C₁₃	semidirect
576. #124	C₂³×C₁₃	semidirect
577. #123	C₂³×C₁₃	semidirect
578. #123	C₂³×C₁₃	semidirect
579. #123	C₂³×C₁₃	semidirect
580. #123	C₂³×C₁₃	semidirect
581. #123	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
588. #121	C₂³×C₁₃	semidirect
589. #121	C₂³×C₁₃	semidirect
590. #121	C₂³×C₁₃	semidirect
591. #121	C₂³×C₁₃	semidirect
592. #121	C₂³×C₁₃	semidirect
593. #121	C₂³×C₁₃	semidirect
594. #121	C₂³×C₁₃	semidirect
595. #120	C₂³×C₁₃	semidirect
596. #120	C₂³×C₁₃	semidirect
597. #120	C₂³×C₁₃	semidirect
598. #120	C₂³×C₁₃	semidirect
599. #120	C₂³×C₁₃	semidirect
600. C₄×Q₈	C₂³×C₁₃	semidirect
601. C₄×Q₈	C₂³×C₁₃	semidirect
602. C₄×D₄	C₂³×C₁₃	semidirect
603. C₄×D₄	C₂³×C₁₃	semidirect
604. C₄×D₄	C₂³×C₁₃	semidirect
605. C₄×D₄	C₂³×C₁₃	semidirect
606. C₄×D₄	C₂³×C₁₃	semidirect
607. C₄×D₄	C₂³×C₁₃	semidirect
608. C₄×D₄	C₂³×C₁₃	semidirect
609. #117	C₂³×C₁₃	semidirect
636. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
637. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
638. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
645. C₂×C₄²	C₂³×C₁₃	semidirect
650. C₂×C₁₃	#3558	direct (N × H)
765. C₁₃	C₂×#3558	direct (N × H)
875. C₂	C₁₃×#3558	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×#3558	2
C₂×C₁₃×#562	2
C₂×C₁₃×H(3,𝔽₄)	2
C₂×C₁₃×#559	2
C₂×C₁₃×#548	2
C₂×C₁₃×#546	2
C₂×D₄²×C₁₃	2
C₂×C₁₃×#542	2
C₂×C₁₃×#538	2
C₂×C₁₃×#535	2
C₂×C₁₃×#534	2
C₂×C₁₃×#532	2
C₂×C₁₃×#529	2
C₂²×C₁₃×#124	2
C₂×#3558	13

Subgroups — C2×C13×#3558 #15749069

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3558 #15749069