Subgroups — C₂×C₁₃×#3388 #15747701

Order 3328.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3388	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#499	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#475	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic
11	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₃×#476	C₂	1	1	yes	maximal, characteristic
13	C₂×C₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic
15	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic
16	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic
17	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
18	C₁₃×#557	—	2	4	no	—
19	C₁₃×#557	C₂²	1	8	yes	complemented
20	C₁₃×#554	—	2	4	no	—
21	C₁₃×#554	C₂²	1	8	yes	—
22	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
23	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#125	—	2	1	no	—
26	C₂×C₁₃×#125	—	2	1	no	—
27	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
32	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
33	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
34	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₁₃×C₄⋊C₄	—	2	1	no	—
43	C₁₃×#501	C₂²	1	8	yes	complemented
44	C₁₃×#501	C₂²	1	8	yes	complemented
45	C₁₃×#499	C₂²	1	8	yes	complemented
46	C₁₃×#479	C₂²	1	8	yes	complemented
47	C₁₃×#479	C₂²	1	8	yes	complemented
48	C₁₃×#478	C₂²	1	8	yes	—
49	C₁₃×#478	C₂²	1	8	yes	—
50	C₁₃×#476	C₂²	1	8	yes	—
51	C₁₃×#475	C₂²	1	8	yes	complemented
52	C₁₃×#446	C₂²	1	8	yes	complemented
53	C₁₃×#440	C₂²	1	8	yes	—
54	C₁₃×#440	C₂²	1	8	yes	—
55	C₄×C₁₃×SD₁₆	C₂²	1	8	yes	—
56	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
63	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
65	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
66	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
69	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
74	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
77	C₂²×Q₈×C₁₃	—	2	1	no	—
78	C₂²×Q₈×C₁₃	—	2	1	no	—
79	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
80	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
82	C₂³×C₄×C₁₃	—	2	1	no	—
83	C₂³×C₄×C₁₃	—	2	1	no	—
84	C₂³×C₄×C₁₃	—	2	1	no	—
85	C₂×C₁₃×SD₁₆	Q₈	1	8	yes	complemented
86	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
87	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
90	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
91	C₁₃×C₄⋊Q₈	—	2	8	no	—
92	C₁₃×C₄⋊Q₈	—	2	2	no	—
93	C₁₃×C₄⋊Q₈	—	2	2	no	—
94	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
95	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
96	C₁₃×#125	—	2	8	no	—
97	C₁₃×#125	—	2	8	no	—
98	C₁₃×#125	—	2	2	no	—
99	C₁₃×#125	—	2	2	no	—
100	C₁₃×#125	—	2	2	no	—
101	C₁₃×#125	—	2	2	no	—
102	C₁₃×#125	C₂³	1	4	yes	—
103	C₁₃×#125	C₂³	1	4	yes	—
104	C₁₃×#125	C₂³	1	4	yes	—
105	C₁₃×#125	C₂³	1	4	yes	—
106	C₁₃×C₂²⋊Q₈	—	2	8	no	—
107	C₁₃×C₂²⋊Q₈	—	2	8	no	—
108	C₁₃×C₂²⋊Q₈	—	2	8	no	—
109	C₄×Q₈×C₁₃	—	2	8	no	—
110	C₄×Q₈×C₁₃	—	2	2	no	—
111	C₄×Q₈×C₁₃	—	2	2	no	—
112	C₄×Q₈×C₁₃	—	2	2	no	—
113	C₄×Q₈×C₁₃	D₄	1	4	yes	—
114	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
115	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
116	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
117	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
118	C₄×D₄×C₁₃	—	2	2	no	—
119	C₄×D₄×C₁₃	—	2	2	no	—
120	C₄×D₄×C₁₃	—	2	2	no	—
121	C₄×D₄×C₁₃	C₂³	1	4	yes	—
122	C₄×D₄×C₁₃	C₂³	1	4	yes	—
123	C₄×D₄×C₁₃	C₂³	1	4	yes	—
124	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
125	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
126	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
127	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
128	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
129	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
130	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
131	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
132	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
133	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
134	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
135	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
136	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
137	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
138	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
139	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
140	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
141	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
148	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
149	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
150	C₂×C₄²×C₁₃	—	2	1	no	—
151	C₂×C₄²×C₁₃	—	2	1	no	—
152	C₂×C₄²×C₁₃	—	2	1	no	—
153	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
154	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
155	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
156	C₁₃×#107	C₂³	1	4	yes	—
157	C₁₃×#107	C₂³	1	4	yes	—
158	C₁₃×#107	C₂³	1	4	yes	—
159	C₁₃×#107	C₂³	1	4	yes	—
160	C₁₃×#106	C₂³	1	4	yes	—
161	C₁₃×#106	C₂³	1	4	yes	—
162	C₁₃×#106	C₂³	1	4	yes	—
163	C₁₃×#106	C₂³	1	4	yes	—
164	C₁₃×#106	C₂³	1	4	yes	—
165	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
166	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
167	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
168	C₁₃×#103	C₂³	1	4	yes	—
169	C₁₃×#103	C₂³	1	4	yes	—
170	C₁₃×#103	C₂³	1	4	yes	—
171	C₁₃×#102	C₂³	1	4	yes	—
172	C₁₃×#102	C₂³	1	4	yes	—
173	C₁₃×#102	C₂³	1	4	yes	—
174	C₁₃×#97	C₂³	1	4	yes	—
175	C₁₃×#97	C₂³	1	4	yes	—
176	C₄×C₈×C₁₃	C₂³	1	4	yes	—
177	C₂×#3388	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
178	C₂⁴×C₁₃	—	2	1	no	—
179	C₂×Q₈×C₁₃	—	2	1	no	—
180	C₂×Q₈×C₁₃	—	2	4	no	—
181	C₂×Q₈×C₁₃	—	2	4	no	—
182	C₂×Q₈×C₁₃	—	2	2	no	—
183	C₂×Q₈×C₁₃	—	4	2	no	—
184	C₂×Q₈×C₁₃	—	4	4	no	—
185	C₂×Q₈×C₁₃	—	8	2	no	—
186	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
187	C₂×Q₈×C₁₃	C₂×Q₈	1	4	yes	—
188	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
189	C₂×D₄×C₁₃	—	2	1	no	—
190	C₂×D₄×C₁₃	—	2	2	no	—
191	C₂×D₄×C₁₃	C₂×Q₈	1	4	yes	—
192	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₁₃	—	2	1	no	—
194	C₂²×C₄×C₁₃	—	2	1	no	—
195	C₂²×C₄×C₁₃	—	2	1	no	—
196	C₂²×C₄×C₁₃	—	2	1	no	—
197	C₂²×C₄×C₁₃	—	2	1	no	—
198	C₂²×C₄×C₁₃	—	2	1	no	—
199	C₂²×C₄×C₁₃	—	2	1	no	—
200	C₂²×C₄×C₁₃	—	2	4	no	—
201	C₂²×C₄×C₁₃	—	2	4	no	—
202	C₂²×C₄×C₁₃	—	2	4	no	—
203	C₂²×C₄×C₁₃	—	4	4	no	—
204	C₂²×C₄×C₁₃	—	8	2	no	—
205	C₂²×C₄×C₁₃	—	8	2	no	—
206	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
211	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
213	C₁₃×SD₁₆	C₂×Q₈	1	16	yes	complemented
214	C₂×C₈×C₁₃	—	2	2	no	—
215	C₂×C₈×C₁₃	—	2	2	no	—
216	C₂×C₈×C₁₃	—	2	2	no	—
217	C₂×C₈×C₁₃	C₂×Q₈	1	4	yes	—
218	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
219	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
220	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
221	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
222	C₁₃×C₄⋊C₄	—	2	4	no	—
223	C₁₃×C₄⋊C₄	—	2	4	no	—
224	C₁₃×C₄⋊C₄	—	2	4	no	—
225	C₁₃×C₄⋊C₄	—	2	4	no	—
226	C₁₃×C₄⋊C₄	—	2	4	no	—
227	C₁₃×C₄⋊C₄	—	2	4	no	—
228	C₁₃×C₄⋊C₄	—	2	4	no	—
229	C₁₃×C₄⋊C₄	—	2	4	no	—
230	C₁₃×C₄⋊C₄	—	2	4	no	—
231	C₁₃×C₄⋊C₄	—	2	4	no	—
232	C₁₃×C₄⋊C₄	—	2	4	no	—
233	C₁₃×C₄⋊C₄	—	2	4	no	—
234	C₁₃×C₄⋊C₄	—	2	4	no	—
235	C₁₃×C₄⋊C₄	—	2	1	no	—
236	C₁₃×C₄⋊C₄	—	2	1	no	—
237	C₁₃×C₄⋊C₄	—	2	1	no	—
238	C₁₃×C₄⋊C₄	—	2	1	no	—
239	C₁₃×C₄⋊C₄	—	2	1	no	—
240	C₁₃×C₄⋊C₄	—	2	1	no	—
241	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
242	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
243	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
244	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
245	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
246	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
247	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
248	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
249	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
250	C₁₃×C₂²⋊C₄	—	2	4	no	—
251	C₁₃×C₂²⋊C₄	—	2	4	no	—
252	C₁₃×C₂²⋊C₄	—	2	4	no	—
253	C₄²×C₁₃	—	2	4	no	—
254	C₄²×C₁₃	—	2	4	no	—
255	C₄²×C₁₃	—	2	4	no	—
256	C₄²×C₁₃	C₂×D₄	1	2	yes	—
257	C₄²×C₁₃	C₂×D₄	1	2	yes	—
258	C₄²×C₁₃	C₂×D₄	1	2	yes	—
259	C₄²×C₁₃	C₂⁴	1	2	yes	—
260	C₄²×C₁₃	C₂⁴	1	2	yes	—
261	C₄²×C₁₃	C₂⁴	1	2	yes	—
262	C₂×#557	C₂×C₁₃	1	1	yes	characteristic, complemented
263	C₂×#554	C₂×C₁₃	1	1	yes	characteristic
264	#3388	C₂×C₁₃	1	16	yes	direct product factor
265	C₂×#501	C₂×C₁₃	1	1	yes	characteristic, complemented
266	C₂×#501	C₂×C₁₃	1	1	yes	characteristic, complemented
267	C₂×#499	C₂×C₁₃	1	1	yes	characteristic, complemented
268	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
269	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
270	C₂×#475	C₂×C₁₃	1	1	yes	characteristic, complemented
271	C₂×#478	C₂×C₁₃	1	1	yes	characteristic
272	C₂×#478	C₂×C₁₃	1	1	yes	characteristic
273	C₂×#476	C₂×C₁₃	1	1	yes	characteristic
274	C₂×#446	C₂×C₁₃	1	1	yes	characteristic, complemented
275	C₂×#440	C₂×C₁₃	1	1	yes	characteristic
276	C₂×#440	C₂×C₁₃	1	1	yes	characteristic
277	C₂×C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic
278	C₂³×C₁₃	—	2	4	no	—
279	C₂³×C₁₃	—	2	2	no	—
280	C₂³×C₁₃	—	4	2	no	—
281	C₂³×C₁₃	—	4	2	no	—
282	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
283	Q₈×C₁₃	—	2	4	no	—
284	Q₈×C₁₃	—	2	2	no	—
285	Q₈×C₁₃	—	4	4	no	—
286	Q₈×C₁₃	—	4	8	no	—
287	Q₈×C₁₃	—	8	4	no	—
288	Q₈×C₁₃	C₂²×Q₈	1	4	yes	—
289	D₄×C₁₃	—	2	4	no	—
290	D₄×C₁₃	—	2	2	no	—
291	D₄×C₁₃	C₂²×Q₈	1	4	yes	—
292	C₂×C₄×C₁₃	—	2	4	no	—
293	C₂×C₄×C₁₃	—	2	2	no	—
294	C₂×C₄×C₁₃	—	2	2	no	—
295	C₂×C₄×C₁₃	—	2	2	no	—
296	C₂×C₄×C₁₃	—	2	2	no	—
297	C₂×C₄×C₁₃	—	2	2	no	—
298	C₂×C₄×C₁₃	—	2	2	no	—
299	C₂×C₄×C₁₃	—	2	2	no	—
300	C₂×C₄×C₁₃	—	2	2	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	2	no	—
303	C₂×C₄×C₁₃	—	2	2	no	—
304	C₂×C₄×C₁₃	—	2	2	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	4	8	no	—
307	C₂×C₄×C₁₃	—	4	2	no	—
308	C₂×C₄×C₁₃	—	4	2	no	—
309	C₂×C₄×C₁₃	—	4	2	no	—
310	C₂×C₄×C₁₃	—	4	2	no	—
311	C₂×C₄×C₁₃	—	4	2	no	—
312	C₂×C₄×C₁₃	—	4	2	no	—
313	C₂×C₄×C₁₃	—	8	4	no	—
314	C₂×C₄×C₁₃	—	8	4	no	—
315	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
316	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
317	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
318	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
319	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
320	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
321	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
323	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
324	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
325	C₈×C₁₃	—	2	2	no	—
326	C₈×C₁₃	—	2	2	no	—
327	C₈×C₁₃	—	2	2	no	—
328	C₈×C₁₃	C₂²×Q₈	1	4	yes	—
329	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
330	#557	—	2	4	no	—
331	#557	C₂²×C₁₃	1	8	yes	complemented
332	#554	—	2	4	no	—
333	#554	C₂²×C₁₃	1	8	yes	—
334	C₂×C₄⋊Q₈	—	2	1	no	—
335	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
336	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
337	C₂×#125	—	2	1	no	—
338	C₂×#125	—	2	1	no	—
339	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
340	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
341	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
342	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
343	C₂×C₂²⋊Q₈	—	2	1	no	—
344	C₂×C₂²⋊Q₈	—	2	1	no	—
345	C₂×C₂²⋊Q₈	—	2	1	no	—
346	C₂×C₄×Q₈	—	2	1	no	—
347	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
348	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
349	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
351	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
352	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
353	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
354	C₂²×C₄⋊C₄	—	2	1	no	—
355	#501	C₂²×C₁₃	1	8	yes	complemented
356	#501	C₂²×C₁₃	1	8	yes	complemented
357	#499	C₂²×C₁₃	1	8	yes	complemented
358	#479	C₂²×C₁₃	1	8	yes	complemented
359	#479	C₂²×C₁₃	1	8	yes	complemented
360	#478	C₂²×C₁₃	1	8	yes	—
361	#478	C₂²×C₁₃	1	8	yes	—
362	#476	C₂²×C₁₃	1	8	yes	—
363	#475	C₂²×C₁₃	1	8	yes	complemented
364	#446	C₂²×C₁₃	1	8	yes	complemented
365	#440	C₂²×C₁₃	1	8	yes	—
366	#440	C₂²×C₁₃	1	8	yes	—
367	C₄×SD₁₆	C₂²×C₁₃	1	8	yes	—
368	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
372	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
375	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
376	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
377	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
378	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
379	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
380	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
383	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
386	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
387	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
388	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
389	C₂²×C₁₃	—	2	4	no	—
390	C₂²×C₁₃	—	4	8	no	—
391	C₂²×C₁₃	—	4	2	no	—
392	C₂²×C₁₃	—	4	2	no	—
393	C₂²×C₁₃	D₄×Q₈	1	2	yes	—
394	C₂²×C₁₃	#575	1	2	yes	—
395	C₂²×C₁₃	#577	1	2	yes	—
396	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
397	C₄×C₁₃	—	2	4	no	—
398	C₄×C₁₃	—	2	2	no	—
399	C₄×C₁₃	—	2	2	no	—
400	C₄×C₁₃	—	2	2	no	—
401	C₄×C₁₃	—	2	2	no	—
402	C₄×C₁₃	—	2	2	no	—
403	C₄×C₁₃	—	2	2	no	—
404	C₄×C₁₃	—	4	2	no	—
405	C₄×C₁₃	—	4	2	no	—
406	C₄×C₁₃	—	4	2	no	—
407	C₄×C₁₃	—	4	2	no	—
408	C₄×C₁₃	—	4	2	no	—
409	C₄×C₁₃	—	4	2	no	—
410	C₄×C₁₃	D₄×Q₈	1	2	yes	—
411	C₄×C₁₃	C₂³×Q₈	1	1	yes	characteristic
412	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
413	C₂²×Q₈	—	2	1	no	—
414	C₂²×Q₈	—	2	1	no	—
415	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
416	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
417	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
418	C₂³×C₄	—	2	1	no	—
419	C₂³×C₄	—	2	1	no	—
420	C₂³×C₄	—	2	1	no	—
421	C₂×SD₁₆	Q₈×C₁₃	1	8	yes	complemented
422	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
423	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
424	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
425	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
426	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
427	C₄⋊Q₈	—	2	8	no	—
428	C₄⋊Q₈	—	2	2	no	—
429	C₄⋊Q₈	—	2	2	no	—
430	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
431	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
432	#125	—	2	8	no	—
433	#125	—	2	8	no	—
434	#125	—	2	2	no	—
435	#125	—	2	2	no	—
436	#125	—	2	2	no	—
437	#125	—	2	2	no	—
438	#125	C₂³×C₁₃	1	4	yes	—
439	#125	C₂³×C₁₃	1	4	yes	—
440	#125	C₂³×C₁₃	1	4	yes	—
441	#125	C₂³×C₁₃	1	4	yes	—
442	C₂²⋊Q₈	—	2	8	no	—
443	C₂²⋊Q₈	—	2	8	no	—
444	C₂²⋊Q₈	—	2	8	no	—
445	C₄×Q₈	—	2	8	no	—
446	C₄×Q₈	—	2	2	no	—
447	C₄×Q₈	—	2	2	no	—
448	C₄×Q₈	—	2	2	no	—
449	C₄×Q₈	D₄×C₁₃	1	4	yes	—
450	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
451	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
452	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
453	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
454	C₄×D₄	—	2	2	no	—
455	C₄×D₄	—	2	2	no	—
456	C₄×D₄	—	2	2	no	—
457	C₄×D₄	C₂³×C₁₃	1	4	yes	—
458	C₄×D₄	C₂³×C₁₃	1	4	yes	—
459	C₄×D₄	C₂³×C₁₃	1	4	yes	—
460	C₂×C₄⋊C₄	—	2	1	no	—
461	C₂×C₄⋊C₄	—	2	1	no	—
462	C₂×C₄⋊C₄	—	2	1	no	—
463	C₂×C₄⋊C₄	—	2	1	no	—
464	C₂×C₄⋊C₄	—	2	1	no	—
465	C₂×C₄⋊C₄	—	2	1	no	—
466	C₂×C₄⋊C₄	—	2	1	no	—
467	C₂×C₄⋊C₄	—	2	1	no	—
468	C₂×C₄⋊C₄	—	2	1	no	—
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	—	2	1	no	—
471	C₂×C₄⋊C₄	—	2	1	no	—
472	C₂×C₄⋊C₄	—	2	1	no	—
473	C₂×C₄⋊C₄	—	2	8	no	—
474	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
475	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
476	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
478	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
480	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
481	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
483	C₂×C₂²⋊C₄	—	2	1	no	—
484	C₂×C₂²⋊C₄	—	2	1	no	—
485	C₂×C₂²⋊C₄	—	2	1	no	—
486	C₂×C₄²	—	2	1	no	—
487	C₂×C₄²	—	2	1	no	—
488	C₂×C₄²	—	2	1	no	—
489	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
490	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
491	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
492	#107	C₂³×C₁₃	1	4	yes	—
493	#107	C₂³×C₁₃	1	4	yes	—
494	#107	C₂³×C₁₃	1	4	yes	—
495	#107	C₂³×C₁₃	1	4	yes	—
496	#106	C₂³×C₁₃	1	4	yes	—
497	#106	C₂³×C₁₃	1	4	yes	—
498	#106	C₂³×C₁₃	1	4	yes	—
499	#106	C₂³×C₁₃	1	4	yes	—
500	#106	C₂³×C₁₃	1	4	yes	—
501	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
502	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
503	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
504	#103	C₂³×C₁₃	1	4	yes	—
505	#103	C₂³×C₁₃	1	4	yes	—
506	#103	C₂³×C₁₃	1	4	yes	—
507	#102	C₂³×C₁₃	1	4	yes	—
508	#102	C₂³×C₁₃	1	4	yes	—
509	#102	C₂³×C₁₃	1	4	yes	—
510	#97	C₂³×C₁₃	1	4	yes	—
511	#97	C₂³×C₁₃	1	4	yes	—
512	C₄×C₈	C₂³×C₁₃	1	4	yes	—
513	C₂×C₁₃	—	4	4	no	—
514	C₂×C₁₃	#3388	1	4	yes	direct product factor
515	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
516	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
517	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
518	C₂⁴	—	2	1	no	—
519	C₂×Q₈	—	2	1	no	—
520	C₂×Q₈	—	2	4	no	—
521	C₂×Q₈	—	2	4	no	—
522	C₂×Q₈	—	2	2	no	—
523	C₂×Q₈	—	4	2	no	—
524	C₂×Q₈	—	4	4	no	—
525	C₂×Q₈	—	8	2	no	—
526	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
527	C₂×Q₈	C₂×Q₈×C₁₃	1	4	yes	—
528	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
529	C₂×D₄	—	2	1	no	—
530	C₂×D₄	—	2	2	no	—
531	C₂×D₄	C₂×Q₈×C₁₃	1	4	yes	—
532	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	1	no	—
540	C₂²×C₄	—	2	4	no	—
541	C₂²×C₄	—	2	4	no	—
542	C₂²×C₄	—	2	4	no	—
543	C₂²×C₄	—	4	4	no	—
544	C₂²×C₄	—	8	2	no	—
545	C₂²×C₄	—	8	2	no	—
546	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
547	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
548	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
549	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
550	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
552	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
553	SD₁₆	C₂×Q₈×C₁₃	1	16	yes	complemented
554	C₂×C₈	—	2	2	no	—
555	C₂×C₈	—	2	2	no	—
556	C₂×C₈	—	2	2	no	—
557	C₂×C₈	C₂×Q₈×C₁₃	1	4	yes	—
558	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
559	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
560	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
561	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
562	C₄⋊C₄	—	2	4	no	—
563	C₄⋊C₄	—	2	4	no	—
564	C₄⋊C₄	—	2	4	no	—
565	C₄⋊C₄	—	2	4	no	—
566	C₄⋊C₄	—	2	4	no	—
567	C₄⋊C₄	—	2	4	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	4	no	—
571	C₄⋊C₄	—	2	4	no	—
572	C₄⋊C₄	—	2	4	no	—
573	C₄⋊C₄	—	2	4	no	—
574	C₄⋊C₄	—	2	4	no	—
575	C₄⋊C₄	—	2	1	no	—
576	C₄⋊C₄	—	2	1	no	—
577	C₄⋊C₄	—	2	1	no	—
578	C₄⋊C₄	—	2	1	no	—
579	C₄⋊C₄	—	2	1	no	—
580	C₄⋊C₄	—	2	1	no	—
581	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
582	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
583	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
584	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
585	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
586	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
587	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
588	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
589	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
590	C₂²⋊C₄	—	2	4	no	—
591	C₂²⋊C₄	—	2	4	no	—
592	C₂²⋊C₄	—	2	4	no	—
593	C₄²	—	2	4	no	—
594	C₄²	—	2	4	no	—
595	C₄²	—	2	4	no	—
596	C₄²	C₂×D₄×C₁₃	1	2	yes	—
597	C₄²	C₂×D₄×C₁₃	1	2	yes	—
598	C₄²	C₂×D₄×C₁₃	1	2	yes	—
599	C₄²	C₂⁴×C₁₃	1	2	yes	—
600	C₄²	C₂⁴×C₁₃	1	2	yes	—
601	C₄²	C₂⁴×C₁₃	1	2	yes	—
602	C₁₃	C₂×#3388	1	1	yes	characteristic, direct product factor, Sylow
603	C₂³	—	2	4	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	4	2	no	—
607	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
608	Q₈	—	2	4	no	—
609	Q₈	—	2	2	no	—
610	Q₈	—	4	4	no	—
611	Q₈	—	4	8	no	—
612	Q₈	—	8	4	no	—
613	Q₈	C₂²×Q₈×C₁₃	1	4	yes	—
614	D₄	—	2	4	no	—
615	D₄	—	2	2	no	—
616	D₄	C₂²×Q₈×C₁₃	1	4	yes	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	4	8	no	—
632	C₂×C₄	—	4	2	no	—
633	C₂×C₄	—	4	2	no	—
634	C₂×C₄	—	4	2	no	—
635	C₂×C₄	—	4	2	no	—
636	C₂×C₄	—	4	2	no	—
637	C₂×C₄	—	4	2	no	—
638	C₂×C₄	—	8	4	no	—
639	C₂×C₄	—	8	4	no	—
640	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
641	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
642	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
643	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
644	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
645	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
646	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
647	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
648	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
649	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
650	C₈	—	2	2	no	—
651	C₈	—	2	2	no	—
652	C₈	—	2	2	no	—
653	C₈	C₂²×Q₈×C₁₃	1	4	yes	—
654	C₂²	—	2	4	no	—
655	C₂²	—	4	2	no	—
656	C₂²	—	4	2	no	—
657	C₂²	—	4	8	no	—
658	C₂²	D₄×Q₈×C₁₃	1	2	yes	—
659	C₂²	C₁₃×#575	1	2	yes	—
660	C₂²	C₁₃×#577	1	2	yes	—
661	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
662	C₄	—	2	2	no	—
663	C₄	—	2	2	no	—
664	C₄	—	2	2	no	—
665	C₄	—	2	2	no	—
666	C₄	—	2	2	no	—
667	C₄	—	2	2	no	—
668	C₄	—	2	4	no	—
669	C₄	—	4	2	no	—
670	C₄	—	4	2	no	—
671	C₄	—	4	2	no	—
672	C₄	—	4	2	no	—
673	C₄	—	4	2	no	—
674	C₄	—	4	2	no	—
675	C₄	D₄×Q₈×C₁₃	1	2	yes	—
676	C₄	C₂³×Q₈×C₁₃	1	1	yes	characteristic
677	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
678	C₂	—	4	4	no	—
679	C₂	C₁₃×#3388	1	4	yes	direct product factor
680	C₂	C₂×D₄×Q₈×C₁₃	1	1	yes	characteristic
681	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
682	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₂²×D₄×C₁₃	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#557	C₂	semidirect
3. C₁₃×#3388	C₂	direct (N × H)
4. C₂×C₁₃×#501	C₂	semidirect
5. C₂×C₁₃×#501	C₂	semidirect
6. C₂×C₁₃×#499	C₂	semidirect
7. C₂×C₁₃×#479	C₂	semidirect
8. C₂×C₁₃×#479	C₂	semidirect
9. C₂×C₁₃×#475	C₂	semidirect
13. C₂×C₁₃×#446	C₂	semidirect
19. C₁₃×#557	C₂²	semidirect
43. C₁₃×#501	C₂²	semidirect
44. C₁₃×#501	C₂²	semidirect
45. C₁₃×#499	C₂²	semidirect
46. C₁₃×#479	C₂²	semidirect
47. C₁₃×#479	C₂²	semidirect
51. C₁₃×#475	C₂²	semidirect
52. C₁₃×#446	C₂²	semidirect
85. C₂×C₁₃×SD₁₆	Q₈	semidirect
177. C₂×#3388	C₁₃	direct (N × H)
213. C₁₃×SD₁₆	C₂×Q₈	semidirect
262. C₂×#557	C₂×C₁₃	semidirect
264. #3388	C₂×C₁₃	direct (N × H)
265. C₂×#501	C₂×C₁₃	semidirect
266. C₂×#501	C₂×C₁₃	semidirect
267. C₂×#499	C₂×C₁₃	semidirect
268. C₂×#479	C₂×C₁₃	semidirect
269. C₂×#479	C₂×C₁₃	semidirect
270. C₂×#475	C₂×C₁₃	semidirect
274. C₂×#446	C₂×C₁₃	semidirect
331. #557	C₂²×C₁₃	semidirect
355. #501	C₂²×C₁₃	semidirect
356. #501	C₂²×C₁₃	semidirect
357. #499	C₂²×C₁₃	semidirect
358. #479	C₂²×C₁₃	semidirect
359. #479	C₂²×C₁₃	semidirect
363. #475	C₂²×C₁₃	semidirect
364. #446	C₂²×C₁₃	semidirect
421. C₂×SD₁₆	Q₈×C₁₃	semidirect
514. C₂×C₁₃	#3388	direct (N × H)
553. SD₁₆	C₂×Q₈×C₁₃	semidirect
602. C₁₃	C₂×#3388	direct (N × H)
679. C₂	C₁₃×#3388	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#557	2
C₂×C₁₃×#554	2
C₁₃×#3388	2
C₂×C₁₃×#501	2
C₂×C₁₃×#499	2
C₂×C₁₃×#479	2
C₂×C₁₃×#475	2
C₂×C₁₃×#478	2
C₂×C₁₃×#476	2
C₂×C₁₃×#446	2
C₂×C₁₃×#440	2
C₂×C₄×C₁₃×SD₁₆	2
C₂×#3388	13

Subgroups — C2×C13×#3388 #15747701

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3388 #15747701