Subgroups — C₂×C₁₃×#3557 #15749077

Order 3328.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3557	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃×#563	C₂	1	4	yes	maximal, complemented
3	C₂×C₁₃×#559	C₂	1	2	yes	maximal, complemented
4	C₂×C₁₃×#557	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₃×#556	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₃×#554	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₃×#552	C₂	1	4	yes	maximal, complemented
8	C₂×C₁₃×#542	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#542	C₂	1	4	yes	maximal, complemented
10	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₃×#539	C₂	1	4	yes	maximal, complemented
13	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#529	C₂	1	2	yes	maximal, complemented
15	C₁₃×#563	C₂²	1	64	yes	complemented
16	C₁₃×#559	C₂²	1	32	yes	complemented
17	C₁₃×#557	C₂²	1	32	yes	complemented
18	C₁₃×#556	C₂²	1	32	yes	complemented
19	C₁₃×#554	C₂²	1	32	yes	complemented
20	C₁₃×#552	C₂²	1	64	yes	complemented
21	C₁₃×#542	C₂²	1	32	yes	complemented
22	C₁₃×#542	C₂²	1	64	yes	complemented
23	C₁₃×#541	C₂²	1	16	yes	complemented
24	C₁₃×#540	C₂²	1	16	yes	—
25	C₁₃×#539	C₂²	1	64	yes	complemented
26	C₁₃×#533	C₂²	1	16	yes	complemented
27	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
28	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	—
29	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
31	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
32	C₁₃×#529	C₂²	1	32	yes	complemented
33	C₂×C₁₃×#126	C₂²	1	4	yes	—
34	C₂×C₁₃×#126	C₂²	1	4	yes	—
35	C₂×C₁₃×#126	C₂²	1	4	yes	—
36	C₂×C₁₃×#126	C₂²	1	4	yes	—
37	C₂×C₁₃×#126	C₂²	1	4	yes	—
38	C₂×C₁₃×#125	C₂²	1	4	yes	—
39	C₂×C₁₃×#125	C₂²	1	4	yes	—
40	C₂×C₁₃×#125	C₂²	1	2	yes	—
41	C₂×C₁₃×#125	C₂²	1	2	yes	—
42	C₂×C₁₃×#125	C₂²	1	4	yes	—
43	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#124	C₂²	1	4	yes	—
46	C₂×C₁₃×#124	C₂²	1	2	yes	—
47	C₂×C₁₃×#124	C₂²	1	4	yes	—
48	C₂×C₁₃×#124	C₂²	1	2	yes	—
49	C₂×C₁₃×#123	C₂²	1	4	yes	—
50	C₂×C₁₃×#123	C₂²	1	4	yes	—
51	C₂×C₁₃×#123	C₂²	1	4	yes	—
52	C₂×C₁₃×#123	C₂²	1	4	yes	—
53	C₂×C₁₃×#123	C₂²	1	4	yes	—
54	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
55	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
56	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
57	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
58	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
59	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
60	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
61	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
62	C₂×C₁₃×#121	C₂²	1	2	yes	—
63	C₂×C₁₃×#121	C₂²	1	4	yes	—
64	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
65	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
66	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
67	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
68	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	—
69	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
70	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
71	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
72	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
73	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
74	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
75	C₂×C₁₃×#117	C₂²	1	4	yes	—
76	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
77	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
78	C₂×C₁₃×#117	C₂²	1	4	yes	—
79	C₂²×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
80	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
81	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
82	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
83	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
84	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
85	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
86	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
87	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
88	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
90	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
91	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
92	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
93	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
94	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
95	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
96	C₁₃×C₄⋊Q₈	C₂³	1	32	yes	—
97	C₁₃×#127	C₂³	1	8	yes	—
98	C₁₃×#126	C₂³	1	32	yes	—
99	C₁₃×#126	C₂³	1	32	yes	—
100	C₁₃×#126	C₂³	1	32	yes	—
101	C₁₃×#126	C₂³	1	32	yes	—
102	C₁₃×#126	C₂³	1	32	yes	—
103	C₁₃×#125	C₂³	1	16	yes	—
104	C₁₃×#125	C₂³	1	16	yes	—
105	C₁₃×#125	C₂³	1	32	yes	—
106	C₁₃×#125	C₂³	1	32	yes	—
107	C₁₃×#125	C₂³	1	8	yes	—
108	C₁₃×#125	C₂³	1	32	yes	—
109	C₁₃×#125	C₂³	1	8	yes	—
110	C₁₃×#124	C₂³	1	16	yes	—
111	C₁₃×#124	C₂³	1	32	yes	—
112	C₁₃×#124	C₂³	1	16	yes	—
113	C₁₃×#124	C₂³	1	32	yes	—
114	C₁₃×#123	C₂³	1	32	yes	—
115	C₁₃×#123	C₂³	1	32	yes	—
116	C₁₃×#123	C₂³	1	32	yes	—
117	C₁₃×#123	C₂³	1	32	yes	—
118	C₁₃×#123	C₂³	1	32	yes	—
119	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
120	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
121	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
122	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
123	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
124	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
125	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
126	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
127	C₁₃×#121	C₂³	1	16	yes	—
128	C₁₃×#121	C₂³	1	32	yes	—
129	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
130	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
131	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
132	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
133	C₄×Q₈×C₁₃	C₂³	1	32	yes	—
134	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
135	C₄×D₄×C₁₃	C₂³	1	32	yes	—
136	C₄×D₄×C₁₃	C₂³	1	16	yes	—
137	C₄×D₄×C₁₃	C₂³	1	32	yes	—
138	C₄×D₄×C₁₃	C₂³	1	16	yes	—
139	C₄×D₄×C₁₃	C₂³	1	16	yes	—
140	C₁₃×#117	C₂³	1	32	yes	—
141	C₁₃×#117	C₂³	1	8	yes	—
142	C₁₃×#117	C₂³	1	8	yes	—
143	C₁₃×#117	C₂³	1	32	yes	—
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	32	yes	—
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
153	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
165	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
166	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
177	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
178	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
179	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
180	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
181	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
182	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
183	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
186	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
187	C₂×#3557	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
189	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
190	C₂×Q₈×C₁₃	—	2	8	no	—
191	C₂×Q₈×C₁₃	—	4	4	no	—
192	C₂×Q₈×C₁₃	—	4	8	no	—
193	C₂×Q₈×C₁₃	—	4	4	no	—
194	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
195	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
196	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
197	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
198	C₂×D₄×C₁₃	—	2	8	no	—
199	C₂×D₄×C₁₃	—	4	8	no	—
200	C₂×D₄×C₁₃	—	4	8	no	—
201	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
202	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
203	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
204	C₂²×C₄×C₁₃	—	2	4	no	—
205	C₂²×C₄×C₁₃	—	4	8	no	—
206	C₂²×C₄×C₁₃	—	4	4	no	—
207	C₂²×C₄×C₁₃	—	4	8	no	—
208	C₂²×C₄×C₁₃	—	4	8	no	—
209	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
210	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
212	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
215	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
220	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
221	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
222	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
223	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
224	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
225	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
226	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
227	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
228	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
229	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
230	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
231	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
232	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
233	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
234	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
235	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
236	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
237	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
238	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
239	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
240	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
241	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
242	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
243	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
244	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
245	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
246	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
247	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
248	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
249	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
250	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
251	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
252	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
253	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
254	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
255	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
256	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
257	C₄²×C₁₃	C₂⁴	1	4	yes	—
258	C₄²×C₁₃	C₂⁴	1	8	yes	—
259	C₄²×C₁₃	C₂⁴	1	4	yes	—
260	C₄²×C₁₃	C₂⁴	1	16	yes	—
261	C₄²×C₁₃	C₂⁴	1	4	yes	—
262	C₄²×C₁₃	C₂⁴	1	8	yes	—
263	C₄²×C₁₃	C₂⁴	1	4	yes	—
264	C₄²×C₁₃	C₂⁴	1	16	yes	—
265	C₄²×C₁₃	C₂⁴	1	16	yes	—
266	#3557	C₂×C₁₃	1	32	yes	direct product factor
267	C₂×#563	C₂×C₁₃	1	4	yes	complemented
268	C₂×#559	C₂×C₁₃	1	2	yes	complemented
269	C₂×#557	C₂×C₁₃	1	2	yes	complemented
270	C₂×#556	C₂×C₁₃	1	2	yes	complemented
271	C₂×#554	C₂×C₁₃	1	2	yes	complemented
272	C₂×#552	C₂×C₁₃	1	4	yes	complemented
273	C₂×#542	C₂×C₁₃	1	2	yes	complemented
274	C₂×#542	C₂×C₁₃	1	4	yes	complemented
275	C₂×#541	C₂×C₁₃	1	1	yes	characteristic, complemented
276	C₂×#540	C₂×C₁₃	1	1	yes	characteristic
277	C₂×#539	C₂×C₁₃	1	4	yes	complemented
278	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
279	C₂×#529	C₂×C₁₃	1	2	yes	complemented
280	C₂³×C₁₃	—	2	2	no	—
281	C₂³×C₁₃	—	2	8	no	—
282	C₂³×C₁₃	—	2	8	no	—
283	C₂³×C₁₃	—	2	4	no	—
284	C₂³×C₁₃	—	2	8	no	—
285	C₂³×C₁₃	C₂⁵	1	2	yes	—
286	C₂³×C₁₃	C₂⁵	1	8	yes	—
287	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
288	Q₈×C₁₃	—	2	16	no	—
289	Q₈×C₁₃	—	4	8	no	—
290	Q₈×C₁₃	—	4	16	no	—
291	Q₈×C₁₃	—	4	8	no	—
292	D₄×C₁₃	—	2	16	no	—
293	D₄×C₁₃	—	4	16	no	—
294	D₄×C₁₃	—	4	16	no	—
295	C₂×C₄×C₁₃	—	2	2	no	—
296	C₂×C₄×C₁₃	—	2	8	no	—
297	C₂×C₄×C₁₃	—	2	4	no	—
298	C₂×C₄×C₁₃	—	2	8	no	—
299	C₂×C₄×C₁₃	—	2	4	no	—
300	C₂×C₄×C₁₃	—	2	4	no	—
301	C₂×C₄×C₁₃	—	2	8	no	—
302	C₂×C₄×C₁₃	—	2	4	no	—
303	C₂×C₄×C₁₃	—	2	4	no	—
304	C₂×C₄×C₁₃	—	2	4	no	—
305	C₂×C₄×C₁₃	—	2	8	no	—
306	C₂×C₄×C₁₃	—	4	16	no	—
307	C₂×C₄×C₁₃	—	4	8	no	—
308	C₂×C₄×C₁₃	—	4	16	no	—
309	C₂×C₄×C₁₃	—	4	16	no	—
310	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
311	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
312	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
313	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
314	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
315	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
316	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
317	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
318	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
319	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
320	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
321	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
322	#563	C₂²×C₁₃	1	64	yes	complemented
323	#559	C₂²×C₁₃	1	32	yes	complemented
324	#557	C₂²×C₁₃	1	32	yes	complemented
325	#556	C₂²×C₁₃	1	32	yes	complemented
326	#554	C₂²×C₁₃	1	32	yes	complemented
327	#552	C₂²×C₁₃	1	64	yes	complemented
328	#542	C₂²×C₁₃	1	32	yes	complemented
329	#542	C₂²×C₁₃	1	64	yes	complemented
330	#541	C₂²×C₁₃	1	16	yes	complemented
331	#540	C₂²×C₁₃	1	16	yes	—
332	#539	C₂²×C₁₃	1	64	yes	complemented
333	#533	C₂²×C₁₃	1	16	yes	complemented
334	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
335	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
336	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
337	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	—
338	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
339	#529	C₂²×C₁₃	1	32	yes	complemented
340	C₂×#126	C₂²×C₁₃	1	4	yes	—
341	C₂×#126	C₂²×C₁₃	1	4	yes	—
342	C₂×#126	C₂²×C₁₃	1	4	yes	—
343	C₂×#126	C₂²×C₁₃	1	4	yes	—
344	C₂×#126	C₂²×C₁₃	1	4	yes	—
345	C₂×#125	C₂²×C₁₃	1	2	yes	—
346	C₂×#125	C₂²×C₁₃	1	2	yes	—
347	C₂×#125	C₂²×C₁₃	1	4	yes	—
348	C₂×#125	C₂²×C₁₃	1	4	yes	—
349	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×#125	C₂²×C₁₃	1	4	yes	—
351	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
352	C₂×#124	C₂²×C₁₃	1	2	yes	—
353	C₂×#124	C₂²×C₁₃	1	4	yes	—
354	C₂×#124	C₂²×C₁₃	1	2	yes	—
355	C₂×#124	C₂²×C₁₃	1	4	yes	—
356	C₂×#123	C₂²×C₁₃	1	4	yes	—
357	C₂×#123	C₂²×C₁₃	1	4	yes	—
358	C₂×#123	C₂²×C₁₃	1	4	yes	—
359	C₂×#123	C₂²×C₁₃	1	4	yes	—
360	C₂×#123	C₂²×C₁₃	1	4	yes	—
361	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
362	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
363	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
364	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
365	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
366	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
367	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
368	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
369	C₂×#121	C₂²×C₁₃	1	2	yes	—
370	C₂×#121	C₂²×C₁₃	1	4	yes	—
371	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
372	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
373	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
374	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
375	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	—
376	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
377	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
378	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
379	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
380	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
381	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
382	C₂×#117	C₂²×C₁₃	1	4	yes	—
383	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×#117	C₂²×C₁₃	1	4	yes	—
386	C₂²×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
387	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
388	C₂²×C₁₃	—	2	2	no	—
389	C₂²×C₁₃	—	2	8	no	—
390	C₂²×C₁₃	—	2	8	no	—
391	C₂²×C₁₃	—	2	4	no	—
392	C₂²×C₁₃	—	2	8	no	—
393	C₂²×C₁₃	—	4	4	no	—
394	C₂²×C₁₃	—	4	16	no	—
395	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
396	C₂²×C₁₃	#585	1	4	yes	—
397	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
398	C₄×C₁₃	—	2	2	no	—
399	C₄×C₁₃	—	2	8	no	—
400	C₄×C₁₃	—	2	4	no	—
401	C₄×C₁₃	—	2	8	no	—
402	C₄×C₁₃	—	2	4	no	—
403	C₄×C₁₃	—	2	4	no	—
404	C₄×C₁₃	—	2	8	no	—
405	C₄×C₁₃	—	2	4	no	—
406	C₄×C₁₃	—	2	4	no	—
407	C₄×C₁₃	—	2	4	no	—
408	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
409	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
410	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
411	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
412	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
413	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
414	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
415	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
416	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
417	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
418	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
419	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
420	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
421	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
422	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
423	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
424	C₄⋊Q₈	C₂³×C₁₃	1	32	yes	—
425	#127	C₂³×C₁₃	1	8	yes	—
426	#126	C₂³×C₁₃	1	32	yes	—
427	#126	C₂³×C₁₃	1	32	yes	—
428	#126	C₂³×C₁₃	1	32	yes	—
429	#126	C₂³×C₁₃	1	32	yes	—
430	#126	C₂³×C₁₃	1	32	yes	—
431	#125	C₂³×C₁₃	1	16	yes	—
432	#125	C₂³×C₁₃	1	16	yes	—
433	#125	C₂³×C₁₃	1	32	yes	—
434	#125	C₂³×C₁₃	1	32	yes	—
435	#125	C₂³×C₁₃	1	8	yes	—
436	#125	C₂³×C₁₃	1	32	yes	—
437	#125	C₂³×C₁₃	1	8	yes	—
438	#124	C₂³×C₁₃	1	16	yes	—
439	#124	C₂³×C₁₃	1	32	yes	—
440	#124	C₂³×C₁₃	1	16	yes	—
441	#124	C₂³×C₁₃	1	32	yes	—
442	#123	C₂³×C₁₃	1	32	yes	—
443	#123	C₂³×C₁₃	1	32	yes	—
444	#123	C₂³×C₁₃	1	32	yes	—
445	#123	C₂³×C₁₃	1	32	yes	—
446	#123	C₂³×C₁₃	1	32	yes	—
447	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
448	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
449	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
450	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
451	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
452	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
453	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
454	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
455	#121	C₂³×C₁₃	1	16	yes	—
456	#121	C₂³×C₁₃	1	32	yes	—
457	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
458	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
459	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
460	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
461	C₄×Q₈	C₂³×C₁₃	1	32	yes	—
462	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
463	C₄×D₄	C₂³×C₁₃	1	32	yes	—
464	C₄×D₄	C₂³×C₁₃	1	16	yes	—
465	C₄×D₄	C₂³×C₁₃	1	32	yes	—
466	C₄×D₄	C₂³×C₁₃	1	16	yes	—
467	C₄×D₄	C₂³×C₁₃	1	16	yes	—
468	#117	C₂³×C₁₃	1	32	yes	—
469	#117	C₂³×C₁₃	1	8	yes	—
470	#117	C₂³×C₁₃	1	8	yes	—
471	#117	C₂³×C₁₃	1	32	yes	—
472	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
473	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
474	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
475	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
476	C₂×C₄⋊C₄	C₂³×C₁₃	1	32	yes	—
477	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
478	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
480	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
481	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
482	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
483	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
485	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
486	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
490	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
492	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
493	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
494	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
495	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
496	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
497	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
498	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
499	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
500	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
501	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
502	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
503	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
504	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
505	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
506	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
507	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
508	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
509	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
510	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
511	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
512	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
513	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
514	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
515	C₂×C₁₃	—	4	2	no	—
516	C₂×C₁₃	—	4	8	no	—
517	C₂×C₁₃	#3557	1	4	yes	direct product factor
518	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
519	C₂×C₁₃	C₂×#585	1	2	yes	—
520	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
521	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
522	C₂×Q₈	—	2	8	no	—
523	C₂×Q₈	—	4	4	no	—
524	C₂×Q₈	—	4	8	no	—
525	C₂×Q₈	—	4	4	no	—
526	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
527	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
528	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
529	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
530	C₂×D₄	—	2	8	no	—
531	C₂×D₄	—	4	8	no	—
532	C₂×D₄	—	4	8	no	—
533	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
534	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
535	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
536	C₂²×C₄	—	2	4	no	—
537	C₂²×C₄	—	4	8	no	—
538	C₂²×C₄	—	4	4	no	—
539	C₂²×C₄	—	4	8	no	—
540	C₂²×C₄	—	4	8	no	—
541	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
542	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
543	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
545	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
546	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
547	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
548	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
549	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
550	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
551	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
552	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
553	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
554	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
555	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
556	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
557	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
558	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
559	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
560	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
561	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
562	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
563	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
564	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
565	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
566	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
567	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
568	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
569	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
570	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
571	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
572	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
573	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
574	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
575	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
576	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
577	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
578	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
579	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
580	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
581	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
582	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
583	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
584	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
585	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
586	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
587	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
588	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
589	C₄²	C₂⁴×C₁₃	1	4	yes	—
590	C₄²	C₂⁴×C₁₃	1	8	yes	—
591	C₄²	C₂⁴×C₁₃	1	4	yes	—
592	C₄²	C₂⁴×C₁₃	1	16	yes	—
593	C₄²	C₂⁴×C₁₃	1	4	yes	—
594	C₄²	C₂⁴×C₁₃	1	8	yes	—
595	C₄²	C₂⁴×C₁₃	1	4	yes	—
596	C₄²	C₂⁴×C₁₃	1	16	yes	—
597	C₄²	C₂⁴×C₁₃	1	16	yes	—
598	C₁₃	C₂×#3557	1	1	yes	characteristic, direct product factor, Sylow
599	C₂³	—	2	2	no	—
600	C₂³	—	2	8	no	—
601	C₂³	—	2	8	no	—
602	C₂³	—	2	4	no	—
603	C₂³	—	2	8	no	—
604	C₂³	C₂⁵×C₁₃	1	2	yes	—
605	C₂³	C₂⁵×C₁₃	1	8	yes	—
606	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
607	Q₈	—	2	16	no	—
608	Q₈	—	4	8	no	—
609	Q₈	—	4	16	no	—
610	Q₈	—	4	8	no	—
611	D₄	—	2	16	no	—
612	D₄	—	4	16	no	—
613	D₄	—	4	16	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	8	no	—
616	C₂×C₄	—	2	4	no	—
617	C₂×C₄	—	2	8	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	8	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	8	no	—
625	C₂×C₄	—	4	16	no	—
626	C₂×C₄	—	4	8	no	—
627	C₂×C₄	—	4	16	no	—
628	C₂×C₄	—	4	16	no	—
629	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
630	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
631	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
632	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
633	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
634	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
635	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
636	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
637	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
638	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
639	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
640	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
641	C₂²	—	2	2	no	—
642	C₂²	—	2	8	no	—
643	C₂²	—	2	8	no	—
644	C₂²	—	2	4	no	—
645	C₂²	—	2	8	no	—
646	C₂²	—	4	4	no	—
647	C₂²	—	4	16	no	—
648	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
649	C₂²	C₁₃×#585	1	4	yes	—
650	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
651	C₄	—	2	2	no	—
652	C₄	—	2	8	no	—
653	C₄	—	2	4	no	—
654	C₄	—	2	8	no	—
655	C₄	—	2	4	no	—
656	C₄	—	2	4	no	—
657	C₄	—	2	8	no	—
658	C₄	—	2	4	no	—
659	C₄	—	2	4	no	—
660	C₄	—	2	4	no	—
661	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
662	C₂	—	4	2	no	—
663	C₂	—	4	8	no	—
664	C₂	C₁₃×#3557	1	4	yes	direct product factor
665	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
666	C₂	C₂×C₁₃×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
prime radical	C₂×C₁₃×#540	C₂
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×#3557	C₂	direct (N × H)
2. C₂×C₁₃×#563	C₂	semidirect
3. C₂×C₁₃×#559	C₂	semidirect
4. C₂×C₁₃×#557	C₂	semidirect
5. C₂×C₁₃×#556	C₂	semidirect
6. C₂×C₁₃×#554	C₂	semidirect
7. C₂×C₁₃×#552	C₂	semidirect
8. C₂×C₁₃×#542	C₂	semidirect
9. C₂×C₁₃×#542	C₂	semidirect
10. C₂×C₁₃×#541	C₂	semidirect
12. C₂×C₁₃×#539	C₂	semidirect
13. C₂×C₁₃×#533	C₂	semidirect
14. C₂×C₁₃×#529	C₂	semidirect
15. C₁₃×#563	C₂²	semidirect
16. C₁₃×#559	C₂²	semidirect
17. C₁₃×#557	C₂²	semidirect
18. C₁₃×#556	C₂²	semidirect
19. C₁₃×#554	C₂²	semidirect
20. C₁₃×#552	C₂²	semidirect
21. C₁₃×#542	C₂²	semidirect
22. C₁₃×#542	C₂²	semidirect
23. C₁₃×#541	C₂²	semidirect
25. C₁₃×#539	C₂²	semidirect
26. C₁₃×#533	C₂²	semidirect
32. C₁₃×#529	C₂²	semidirect
187. C₂×#3557	C₁₃	direct (N × H)
266. #3557	C₂×C₁₃	direct (N × H)
267. C₂×#563	C₂×C₁₃	semidirect
268. C₂×#559	C₂×C₁₃	semidirect
269. C₂×#557	C₂×C₁₃	semidirect
270. C₂×#556	C₂×C₁₃	semidirect
271. C₂×#554	C₂×C₁₃	semidirect
272. C₂×#552	C₂×C₁₃	semidirect
273. C₂×#542	C₂×C₁₃	semidirect
274. C₂×#542	C₂×C₁₃	semidirect
275. C₂×#541	C₂×C₁₃	semidirect
277. C₂×#539	C₂×C₁₃	semidirect
278. C₂×#533	C₂×C₁₃	semidirect
279. C₂×#529	C₂×C₁₃	semidirect
322. #563	C₂²×C₁₃	semidirect
323. #559	C₂²×C₁₃	semidirect
324. #557	C₂²×C₁₃	semidirect
325. #556	C₂²×C₁₃	semidirect
326. #554	C₂²×C₁₃	semidirect
327. #552	C₂²×C₁₃	semidirect
328. #542	C₂²×C₁₃	semidirect
329. #542	C₂²×C₁₃	semidirect
330. #541	C₂²×C₁₃	semidirect
332. #539	C₂²×C₁₃	semidirect
333. #533	C₂²×C₁₃	semidirect
339. #529	C₂²×C₁₃	semidirect
517. C₂×C₁₃	#3557	direct (N × H)
598. C₁₃	C₂×#3557	direct (N × H)
664. C₂	C₁₃×#3557	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×#3557	2
C₂×C₁₃×#563	2
C₂×C₁₃×#559	2
C₂×C₁₃×#557	2
C₂×C₁₃×#556	2
C₂×C₁₃×#554	2
C₂×C₁₃×#552	2
C₂×C₁₃×#542	2
C₂×C₁₃×#541	2
C₂×C₁₃×#540	2
C₂×C₁₃×#539	2
C₂×C₁₃×#533	2
C₂×C₁₃×#529	2
C₂×#3557	13

Subgroups — C2×C13×#3557 #15749077

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3557 #15749077