Subgroups — C₂×D₁₃×#443 #16727206

Order 3328.

2750 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#135	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₃×#131	C₂	1	2	yes	maximal, complemented
3	C₂×#11718361	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11718857	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11718556	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718805	C₂	1	2	yes	maximal, complemented
7	C₂×#11718485	C₂	1	2	yes	maximal, complemented
8	D₁₃×#443	C₂	1	16	yes	maximal, direct product factor
9	C₂×D₁₃×#108	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×D₁₃×#104	C₂	1	2	yes	maximal, complemented
11	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#443	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#41×D₁₃	C₂²	1	2	yes	—
14	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#131	C₂²	1	2	yes	complemented
16	C₂×#88204	C₂²	1	2	yes	—
17	C₂×#88202	C₂²	1	2	yes	complemented
18	D₁₃×#135	C₄	1	8	yes	complemented
19	D₁₃×#135	C₂²	1	8	yes	—
20	C₂×#88173	C₄	1	1	yes	characteristic, complemented
21	C₂×Q₁₆×D₁₃	C₄	1	1	yes	characteristic, complemented
22	C₂×#88170	C₄	1	2	yes	complemented
23	C₂×SD₁₆×D₁₃	C₄	1	2	yes	complemented
24	C₂×#88166	C₄	1	1	yes	characteristic, complemented
25	C₂×D₈×D₁₃	C₄	1	1	yes	characteristic, complemented
26	D₁₃×#131	—	2	8	no	—
27	D₁₃×#131	C₂²	1	16	yes	complemented
28	C₂×#88161	—	2	2	no	—
29	C₂×#88161	C₂²	1	2	yes	complemented
30	C₂×M₁₆×D₁₃	—	2	2	no	—
31	C₂×M₁₆×D₁₃	C₂²	1	2	yes	—
32	C₂×#88158	C₂²	1	1	yes	characteristic
33	C₂×#88155	—	2	2	no	—
34	C₂×#88155	C₂²	1	2	yes	complemented
35	C₂²×C₈×D₁₃	—	2	2	no	—
36	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
37	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#443	C₂²	1	8	yes	complemented
40	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#104	C₂²	1	2	yes	complemented
42	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88077	C₂²	1	2	yes	complemented
44	#11718857	C₂²	1	8	yes	complemented
45	#11718805	C₂²	1	16	yes	complemented
46	C₂×#88065	C₂²	1	2	yes	complemented
47	C₂×#88062	C₂²	1	2	yes	complemented
48	C₂×#88059	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88045	C₂²	1	2	yes	complemented
52	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
53	#11718556	C₂²	1	8	yes	complemented
54	D₁₃×#108	C₂²	1	8	yes	complemented
55	#11718485	C₂²	1	16	yes	complemented
56	D₁₃×#104	C₂²	1	16	yes	complemented
57	#11718361	C₂²	1	8	yes	complemented
58	C₄×C₈×D₁₃	C₂²	1	8	yes	complemented
59	C₂×C₁₃×#41	C₂³	1	2	yes	—
60	#41×D₁₃	—	2	4	no	—
61	#41×D₁₃	—	2	4	no	—
62	#41×D₁₃	C₂×C₄	1	8	yes	—
63	#41×D₁₃	C₂³	1	8	yes	—
64	C₂×#6131	C₂×C₄	1	2	yes	—
65	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
66	C₂×#6129	—	2	2	no	—
67	C₂×#6129	C₂×C₄	1	2	yes	—
68	C₂×D₄×D₁₃	—	2	2	no	—
69	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
70	C₂×#6127	—	2	2	no	—
71	C₂×#6127	C₂³	1	2	yes	—
72	C₂²×C₄×D₁₃	—	2	1	no	—
73	C₂²×C₄×D₁₃	—	2	2	no	—
74	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
75	C₁₃×#135	C₂×C₄	1	4	yes	complemented
76	C₁₃×#135	C₂³	1	4	yes	—
77	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
78	C₂×C₁₃×SD₁₆	C₂×C₄	1	2	yes	complemented
79	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic, complemented
80	C₁₃×#131	—	2	4	no	—
81	C₁₃×#131	C₂³	1	8	yes	complemented
82	C₂×C₁₃×M₁₆	—	2	2	no	—
83	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
84	C₂²×C₈×C₁₃	—	2	2	no	—
85	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
87	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
88	#88204	C₂×C₄	1	8	yes	complemented
89	#88204	C₂³	1	8	yes	—
90	#88202	—	2	4	no	—
91	#88202	C₂³	1	8	yes	complemented
92	C₂×#6107	C₂×C₄	1	2	yes	complemented
93	C₂×#6106	C₂×C₄	1	2	yes	complemented
94	C₂×#6105	C₂×C₄	1	2	yes	complemented
95	C₂×#6104	C₂×C₄	1	2	yes	complemented
96	C₂×C₄×Dic₁₃	—	2	1	no	—
97	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
98	C₂×#6099	—	2	2	no	—
99	C₂×#6099	C₂³	1	2	yes	—
100	C₂²×#1055	—	2	2	no	—
101	C₂²×#1055	C₂³	1	1	yes	characteristic
102	C₂²×#1055	C₂³	1	1	yes	characteristic
103	#88173	C₂×C₄	1	8	yes	complemented
104	Q₁₆×D₁₃	C₂×C₄	1	8	yes	complemented
105	#88170	C₂×C₄	1	16	yes	complemented
106	SD₁₆×D₁₃	C₂×C₄	1	16	yes	complemented
107	#88166	C₂×C₄	1	8	yes	complemented
108	D₈×D₁₃	C₂×C₄	1	8	yes	complemented
109	#88161	—	2	4	no	—
110	#88161	—	2	16	no	—
111	#88161	C₂³	1	8	yes	complemented
112	M₁₆×D₁₃	—	2	4	no	—
113	M₁₆×D₁₃	—	2	16	no	—
114	M₁₆×D₁₃	C₂³	1	8	yes	—
115	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic, complemented
116	#88158	C₂×C₄	1	4	yes	complemented
117	#88158	C₂³	1	4	yes	—
118	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic, complemented
119	C₂×#6095	C₂×C₄	1	2	yes	complemented
120	#88155	—	2	4	no	—
121	#88155	—	2	16	no	—
122	#88155	C₂³	1	8	yes	complemented
123	C₂×#6094	—	2	2	no	—
124	C₂×#6094	—	2	2	no	—
125	C₂×#6094	—	2	2	no	—
126	C₂×C₈×D₁₃	—	2	2	no	—
127	C₂×C₈×D₁₃	—	2	2	no	—
128	C₂×C₈×D₁₃	—	2	2	no	—
129	C₂×C₈×D₁₃	—	2	16	no	—
130	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
131	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
132	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
133	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
134	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
135	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
136	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
137	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
138	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
139	C₂×C₈×D₁₃	D₄	1	4	yes	—
140	C₂×C₈×D₁₃	C₂³	1	4	yes	—
141	C₂×C₈×D₁₃	C₂³	1	4	yes	—
142	C₄²×D₁₃	—	2	2	no	—
143	C₄²×D₁₃	C₂³	1	4	yes	—
144	C₁₃×#108	C₂³	1	4	yes	complemented
145	C₁₃×#104	C₂³	1	8	yes	complemented
146	C₄×C₈×C₁₃	C₂³	1	4	yes	complemented
147	#88077	C₂³	1	8	yes	complemented
148	#88065	C₂³	1	8	yes	complemented
149	#88062	C₂³	1	8	yes	complemented
150	#88059	C₂³	1	4	yes	complemented
151	C₈×Dic₁₃	C₂³	1	4	yes	complemented
152	C₈×Dic₁₃	C₂³	1	4	yes	complemented
153	#88045	C₂³	1	8	yes	complemented
154	C₄×#1055	C₂³	1	4	yes	complemented
155	C₂²×#443	—	13	1	no	maximal, Sylow
156	C₂³×D₁₃	—	2	2	no	—
157	C₂³×D₁₃	#41	1	1	yes	characteristic
158	C₁₃×#41	—	2	2	no	—
159	C₁₃×#41	—	2	2	no	—
160	C₁₃×#41	C₂²×C₄	1	4	yes	—
161	C₁₃×#41	C₂⁴	1	4	yes	—
162	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
163	C₂×D₄×C₁₃	—	2	2	no	—
164	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
165	C₂²×C₄×C₁₃	—	2	1	no	—
166	C₂²×C₄×C₁₃	—	2	2	no	—
167	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
168	C₂×C₂²⋊D₁₃	—	2	2	no	—
169	C₂×C₂²⋊D₁₃	—	2	2	no	—
170	C₂×C₂²⋊D₁₃	—	2	2	no	—
171	C₂²×Dic₁₃	—	2	1	no	—
172	C₂²×Dic₁₃	—	2	2	no	—
173	C₂²×Dic₁₃	#41	1	1	yes	characteristic
174	#6131	—	2	4	no	—
175	#6131	C₂²×C₄	1	8	yes	—
176	Q₈×D₁₃	—	2	4	no	—
177	Q₈×D₁₃	C₂²×C₄	1	8	yes	—
178	#6129	—	2	8	no	—
179	#6129	—	2	8	no	—
180	#6129	—	2	4	no	—
181	#6129	C₂²×C₄	1	8	yes	—
182	D₄×D₁₃	—	2	8	no	—
183	D₄×D₁₃	—	2	8	no	—
184	D₄×D₁₃	—	2	4	no	—
185	D₄×D₁₃	C₂²×C₄	1	8	yes	—
186	#6127	—	2	2	no	—
187	#6127	—	2	2	no	—
188	#6127	—	2	8	no	—
189	#6127	—	2	8	no	—
190	#6127	C₂²×C₄	1	4	yes	—
191	#6127	C₂⁴	1	4	yes	—
192	C₂×D₅₂	—	2	2	no	—
193	C₂×D₅₂	C₂²×C₄	1	2	yes	—
194	C₂×C₄×D₁₃	—	2	8	no	—
195	C₂×C₄×D₁₃	—	2	2	no	—
196	C₂×C₄×D₁₃	—	2	4	no	—
197	C₂×C₄×D₁₃	—	2	2	no	—
198	C₂×C₄×D₁₃	—	2	2	no	—
199	C₂×C₄×D₁₃	—	2	8	no	—
200	C₂×C₄×D₁₃	—	2	8	no	—
201	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
202	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
203	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
204	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
205	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
206	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
207	C₂×C₄×D₁₃	#41	1	2	yes	—
208	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
209	C₂×Dic₂₆	—	2	2	no	—
210	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
211	C₁₃×Q₁₆	C₂²×C₄	1	4	yes	complemented
212	C₁₃×SD₁₆	C₂²×C₄	1	8	yes	complemented
213	C₁₃×D₈	C₂²×C₄	1	4	yes	complemented
214	C₁₃×M₁₆	—	2	2	no	—
215	C₁₃×M₁₆	—	2	8	no	—
216	C₁₃×M₁₆	C₂⁴	1	4	yes	—
217	C₂×C₈×C₁₃	—	2	2	no	—
218	C₂×C₈×C₁₃	—	2	8	no	—
219	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
220	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
221	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
222	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
223	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
224	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
225	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
226	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
227	C₄²×C₁₃	—	2	1	no	—
228	C₄²×C₁₃	C₂⁴	1	2	yes	—
229	#6107	C₂²×C₄	1	8	yes	complemented
230	#6106	C₂²×C₄	1	8	yes	complemented
231	#6105	C₂²×C₄	1	8	yes	complemented
232	#6104	C₂²×C₄	1	8	yes	complemented
233	C₄×Dic₁₃	—	2	1	no	—
234	C₄×Dic₁₃	—	2	4	no	—
235	C₄×Dic₁₃	C₂⁴	1	2	yes	—
236	#6099	—	2	2	no	—
237	#6099	—	2	8	no	—
238	#6099	C₂⁴	1	4	yes	—
239	C₂×#1055	—	2	2	no	—
240	C₂×#1055	—	2	8	no	—
241	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
242	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
243	C₂×#1055	C₂²×C₄	1	2	yes	—
244	C₂×#1055	C₂×D₄	1	1	yes	characteristic
245	C₂×#1055	C₂×D₄	1	1	yes	characteristic
246	C₂×#1055	C₂×D₄	1	2	yes	—
247	C₂×#1055	C₂⁴	1	2	yes	—
248	C₂×#1055	C₂⁴	1	2	yes	—
249	Dic₅₂	C₂²×C₄	1	4	yes	complemented
250	D₁₀₄	C₂²×C₄	1	4	yes	complemented
251	#6095	C₂²×C₄	1	8	yes	complemented
252	#6094	—	2	8	no	—
253	#6094	—	2	8	no	—
254	#6094	—	2	8	no	—
255	C₈×D₁₃	—	2	8	no	—
256	C₈×D₁₃	—	2	8	no	—
257	C₈×D₁₃	—	2	8	no	—
258	C₈×D₁₃	C₂²×C₄	1	4	yes	—
259	C₈×D₁₃	C₂²×C₄	1	4	yes	—
260	C₈×D₁₃	C₂²×C₄	1	4	yes	—
261	C₈×D₁₃	C₂²×C₄	1	4	yes	—
262	C₈×D₁₃	C₂×D₄	1	4	yes	—
263	C₈×D₁₃	C₂×D₄	1	4	yes	—
264	C₈×D₁₃	C₂×D₄	1	4	yes	—
265	C₈×D₁₃	C₂×D₄	1	4	yes	—
266	C₂²×#135	—	13	1	no	—
267	C₂²×#131	—	13	2	no	—
268	C₂×#443	—	13	16	no	—
269	C₂×#443	—	13	1	no	—
270	C₂×#443	—	13	2	no	—
271	C₂×#443	—	13	1	no	—
272	C₂×#443	—	13	1	no	—
273	C₂×#443	—	13	2	no	—
274	C₂×#443	D₁₃	1	1	yes	characteristic, direct product factor
275	C₂²×#108	—	13	1	no	—
276	C₂²×#104	—	13	2	no	—
277	C₂²×C₄×C₈	—	13	1	no	—
278	C₂³×C₁₃	—	2	2	no	—
279	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
280	C₂²×D₁₃	—	2	4	no	—
281	C₂²×D₁₃	—	2	2	no	—
282	C₂²×D₁₃	—	2	8	no	—
283	C₂²×D₁₃	—	4	8	no	—
284	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
285	C₂²×D₁₃	C₄×D₄	1	2	yes	—
286	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
287	C₂²×D₁₃	C₂×#41	1	2	yes	—
288	Q₈×C₁₃	—	2	2	no	—
289	Q₈×C₁₃	C₂³×C₄	1	4	yes	—
290	D₄×C₁₃	—	2	4	no	—
291	D₄×C₁₃	—	2	4	no	—
292	D₄×C₁₃	—	2	2	no	—
293	D₄×C₁₃	C₂³×C₄	1	4	yes	—
294	C₂×C₄×C₁₃	—	2	4	no	—
295	C₂×C₄×C₁₃	—	2	2	no	—
296	C₂×C₄×C₁₃	—	2	2	no	—
297	C₂×C₄×C₁₃	—	2	4	no	—
298	C₂×C₄×C₁₃	—	2	4	no	—
299	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
300	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
301	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
302	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
303	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
304	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
305	C₂²⋊D₁₃	—	2	4	no	—
306	C₂²⋊D₁₃	—	2	4	no	—
307	C₂²⋊D₁₃	—	2	8	no	—
308	C₂²⋊D₁₃	—	2	8	no	—
309	C₂×Dic₁₃	—	2	4	no	—
310	C₂×Dic₁₃	—	2	2	no	—
311	C₂×Dic₁₃	—	2	2	no	—
312	C₂×Dic₁₃	—	2	8	no	—
313	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
314	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
315	C₂×Dic₁₃	C₄×D₄	1	2	yes	—
316	C₂×Dic₁₃	C₂×#41	1	2	yes	—
317	D₅₂	—	2	8	no	—
318	D₅₂	—	2	2	no	—
319	D₅₂	C₂³×C₄	1	4	yes	—
320	C₄×D₁₃	—	2	16	no	—
321	C₄×D₁₃	—	2	8	no	—
322	C₄×D₁₃	—	2	4	no	—
323	C₄×D₁₃	—	2	4	no	—
324	C₄×D₁₃	—	2	8	no	—
325	C₄×D₁₃	C₄×D₄	1	2	yes	—
326	C₄×D₁₃	C₄×D₄	1	2	yes	—
327	C₄×D₁₃	C₄×D₄	1	2	yes	—
328	C₄×D₁₃	C₄×D₄	1	2	yes	—
329	C₄×D₁₃	C₂³×C₄	1	2	yes	—
330	C₄×D₁₃	C₂³×C₄	1	2	yes	—
331	C₄×D₁₃	C₂²×D₄	1	2	yes	—
332	C₄×D₁₃	C₂²×D₄	1	2	yes	—
333	Dic₂₆	—	2	2	no	—
334	Dic₂₆	—	2	8	no	—
335	Dic₂₆	C₂³×C₄	1	4	yes	—
336	C₈×C₁₃	—	2	4	no	—
337	C₈×C₁₃	C₂³×C₄	1	2	yes	—
338	C₈×C₁₃	C₂³×C₄	1	2	yes	—
339	C₈×C₁₃	C₂²×D₄	1	2	yes	—
340	C₈×C₁₃	C₂²×D₄	1	2	yes	—
341	#1055	—	2	4	no	—
342	#1055	C₂³×C₄	1	2	yes	—
343	#1055	C₂³×C₄	1	2	yes	—
344	#1055	C₂²×D₄	1	2	yes	—
345	#1055	C₂²×D₄	1	2	yes	—
346	C₂²×#41	—	13	2	no	—
347	C₂×#135	—	13	2	no	—
348	C₂×#135	—	13	8	no	—
349	C₂×#135	—	13	8	no	—
350	C₂×#135	—	13	1	no	—
351	C₂×#135	—	13	2	no	—
352	C₂×#135	—	13	1	no	—
353	C₂×#135	—	13	1	no	—
354	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
355	C₂²×Q₁₆	—	13	1	no	—
356	C₂²×SD₁₆	—	13	2	no	—
357	C₂²×D₈	—	13	1	no	—
358	C₂×#131	—	13	2	no	—
359	C₂×#131	—	13	16	no	—
360	C₂×#131	—	13	2	no	—
361	C₂×#131	—	13	2	no	—
362	C₂×#131	—	26	2	no	—
363	C₂×#131	—	26	2	no	—
364	C₂×#131	—	26	8	no	—
365	C₂×#131	C₂×D₁₃	1	2	yes	complemented
366	C₂²×M₁₆	—	13	2	no	—
367	C₂²×M₁₆	—	26	2	no	—
368	C₂³×C₈	—	13	1	no	—
369	C₂³×C₈	—	13	1	no	—
370	C₂³×C₈	—	26	2	no	—
371	C₂²×C₄²	—	13	1	no	—
372	#443	—	13	8	no	—
373	#443	—	13	16	no	—
374	#443	—	13	8	no	—
375	#443	—	13	16	no	—
376	#443	—	13	8	no	—
377	#443	C₂×D₁₃	1	8	yes	direct product factor
378	C₂×#108	—	13	2	no	—
379	C₂×#108	—	13	1	no	—
380	C₂×#108	—	13	8	no	—
381	C₂×#108	C₂×D₁₃	1	1	yes	characteristic, complemented
382	C₂×#104	—	13	2	no	—
383	C₂×#104	—	13	2	no	—
384	C₂×#104	—	13	2	no	—
385	C₂×#104	—	13	16	no	—
386	C₂×#104	C₂×D₁₃	1	2	yes	complemented
387	C₂×C₄×C₈	—	13	1	no	—
388	C₂×C₄×C₈	—	13	1	no	—
389	C₂×C₄×C₈	—	13	1	no	—
390	C₂×C₄×C₈	—	13	8	no	—
391	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
392	C₂²×C₁₃	—	2	2	no	—
393	C₂²×C₁₃	—	2	4	no	—
394	C₂²×C₁₃	—	4	4	no	—
395	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
396	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
397	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
398	C₂×D₁₃	—	2	2	no	—
399	C₂×D₁₃	—	2	4	no	—
400	C₂×D₁₃	—	2	4	no	—
401	C₂×D₁₃	—	2	4	no	—
402	C₂×D₁₃	—	4	4	no	—
403	C₂×D₁₃	—	4	16	no	—
404	C₂×D₁₃	#443	1	4	yes	direct product factor
405	C₂×D₁₃	C₂×C₄×D₄	1	2	yes	—
406	C₂×D₁₃	C₂×C₄×D₄	1	2	yes	—
407	C₄×C₁₃	—	2	4	no	—
408	C₄×C₁₃	—	2	4	no	—
409	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
410	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
411	C₄×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
412	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
413	Dic₁₃	—	2	4	no	—
414	Dic₁₃	—	2	4	no	—
415	Dic₁₃	C₂×C₄×D₄	1	2	yes	—
416	Dic₁₃	C₂×C₄×D₄	1	2	yes	—
417	C₂×#41	—	13	8	no	—
418	C₂×#41	—	13	8	no	—
419	C₂×#41	—	13	2	no	—
420	C₂×#41	—	13	2	no	—
421	C₂×#41	—	13	2	no	—
422	C₂×#41	—	26	2	no	—
423	C₂×#41	—	26	2	no	—
424	C₂×#41	—	26	4	no	—
425	C₂×#41	—	26	4	no	—
426	C₂×#41	C₂²×D₁₃	1	2	yes	—
427	C₂²×Q₈	—	13	2	no	—
428	C₂²×D₄	—	13	2	no	—
429	C₂²×D₄	—	26	2	no	—
430	C₂³×C₄	—	13	1	no	—
431	C₂³×C₄	—	26	2	no	—
432	C₂³×C₄	—	26	1	no	—
433	#135	—	13	8	no	—
434	#135	—	13	8	no	—
435	#135	—	13	8	no	—
436	#135	—	13	16	no	—
437	#135	—	13	8	no	—
438	#135	—	13	4	no	—
439	#135	—	13	4	no	—
440	#135	C₄×D₁₃	1	4	yes	complemented
441	#135	C₂²×D₁₃	1	4	yes	—
442	C₂×Q₁₆	—	13	2	no	—
443	C₂×Q₁₆	—	13	8	no	—
444	C₂×Q₁₆	—	13	1	no	—
445	C₂×Q₁₆	C₄×D₁₃	1	1	yes	characteristic, complemented
446	C₂×SD₁₆	—	13	2	no	—
447	C₂×SD₁₆	—	13	2	no	—
448	C₂×SD₁₆	—	13	16	no	—
449	C₂×SD₁₆	—	13	2	no	—
450	C₂×SD₁₆	C₄×D₁₃	1	2	yes	complemented
451	C₂×D₈	—	13	2	no	—
452	C₂×D₈	—	13	8	no	—
453	C₂×D₈	—	13	1	no	—
454	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic, complemented
455	#131	—	2	4	no	—
456	#131	—	13	8	no	—
457	#131	—	13	8	no	—
458	#131	—	13	8	no	—
459	#131	—	26	16	no	—
460	#131	—	26	4	no	—
461	#131	—	26	16	no	—
462	#131	—	26	4	no	—
463	#131	—	26	4	no	—
464	#131	C₂²×D₁₃	1	8	yes	complemented
465	C₂×M₁₆	—	2	2	no	—
466	C₂×M₁₆	—	13	2	no	—
467	C₂×M₁₆	—	13	8	no	—
468	C₂×M₁₆	—	26	2	no	—
469	C₂×M₁₆	—	26	2	no	—
470	C₂×M₁₆	—	26	16	no	—
471	C₂×M₁₆	—	26	2	no	—
472	C₂×M₁₆	—	26	4	no	—
473	C₂×M₁₆	—	26	2	no	—
474	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
475	C₂²×C₈	—	2	2	no	—
476	C₂²×C₈	—	13	1	no	—
477	C₂²×C₈	—	13	1	no	—
478	C₂²×C₈	—	13	1	no	—
479	C₂²×C₈	—	13	1	no	—
480	C₂²×C₈	—	13	1	no	—
481	C₂²×C₈	—	13	1	no	—
482	C₂²×C₈	—	13	4	no	—
483	C₂²×C₈	—	13	1	no	—
484	C₂²×C₈	—	13	1	no	—
485	C₂²×C₈	—	13	4	no	—
486	C₂²×C₈	—	13	1	no	—
487	C₂²×C₈	—	13	1	no	—
488	C₂²×C₈	—	13	4	no	—
489	C₂²×C₈	—	13	4	no	—
490	C₂²×C₈	—	26	2	no	—
491	C₂²×C₈	—	26	16	no	—
492	C₂²×C₈	—	26	2	no	—
493	C₂²×C₈	—	26	2	no	—
494	C₂²×C₈	—	26	2	no	—
495	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
496	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
497	C₂×C₄²	—	13	1	no	—
498	C₂×C₄²	—	13	4	no	—
499	C₂×C₄²	—	26	2	no	—
500	C₂×C₄²	—	26	1	no	—
501	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
502	#108	—	13	8	no	—
503	#108	—	13	4	no	—
504	#108	C₂²×D₁₃	1	4	yes	complemented
505	#104	—	13	8	no	—
506	#104	—	13	8	no	—
507	#104	—	13	8	no	—
508	#104	C₂²×D₁₃	1	8	yes	complemented
509	C₄×C₈	—	13	4	no	—
510	C₄×C₈	—	13	4	no	—
511	C₄×C₈	—	13	4	no	—
512	C₄×C₈	C₂²×D₁₃	1	4	yes	complemented
513	C₂×C₁₃	—	2	1	no	—
514	C₂×C₁₃	—	2	1	no	—
515	C₂×C₁₃	—	4	4	no	—
516	C₂×C₁₃	C₂×#443	1	2	yes	complemented
517	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
518	D₁₃	—	2	2	no	—
519	D₁₃	—	4	4	no	—
520	D₁₃	C₂×#443	1	4	yes	direct product factor
521	C₂⁴	—	13	1	no	—
522	C₂⁴	—	26	2	no	—
523	#41	—	2	2	no	—
524	#41	—	2	2	no	—
525	#41	—	13	8	no	—
526	#41	—	13	8	no	—
527	#41	—	13	4	no	—
528	#41	—	13	4	no	—
529	#41	—	26	8	no	—
530	#41	—	26	8	no	—
531	#41	—	26	8	no	—
532	#41	—	26	8	no	—
533	#41	—	26	4	no	—
534	#41	—	26	4	no	—
535	#41	—	26	2	no	—
536	#41	—	26	2	no	—
537	#41	C₂×C₄×D₁₃	1	4	yes	—
538	#41	C₂³×D₁₃	1	4	yes	—
539	C₂×Q₈	—	13	8	no	—
540	C₂×Q₈	—	13	2	no	—
541	C₂×Q₈	—	26	2	no	—
542	C₂×Q₈	—	26	4	no	—
543	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
544	C₂×D₄	—	2	2	no	—
545	C₂×D₄	—	13	8	no	—
546	C₂×D₄	—	13	2	no	—
547	C₂×D₄	—	26	2	no	—
548	C₂×D₄	—	26	4	no	—
549	C₂×D₄	—	26	2	no	—
550	C₂×D₄	—	26	8	no	—
551	C₂×D₄	—	26	8	no	—
552	C₂×D₄	—	26	2	no	—
553	C₂×D₄	—	26	2	no	—
554	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	13	1	no	—
558	C₂²×C₄	—	13	1	no	—
559	C₂²×C₄	—	13	1	no	—
560	C₂²×C₄	—	13	2	no	—
561	C₂²×C₄	—	13	1	no	—
562	C₂²×C₄	—	13	1	no	—
563	C₂²×C₄	—	13	2	no	—
564	C₂²×C₄	—	13	2	no	—
565	C₂²×C₄	—	13	2	no	—
566	C₂²×C₄	—	26	8	no	—
567	C₂²×C₄	—	26	2	no	—
568	C₂²×C₄	—	26	8	no	—
569	C₂²×C₄	—	26	4	no	—
570	C₂²×C₄	—	26	2	no	—
571	C₂²×C₄	—	26	8	no	—
572	C₂²×C₄	—	26	2	no	—
573	C₂²×C₄	—	26	1	no	—
574	C₂²×C₄	—	26	2	no	—
575	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
576	Q₁₆	—	13	8	no	—
577	Q₁₆	—	13	4	no	—
578	Q₁₆	C₂×C₄×D₁₃	1	4	yes	complemented
579	SD₁₆	—	13	8	no	—
580	SD₁₆	—	13	8	no	—
581	SD₁₆	—	13	8	no	—
582	SD₁₆	C₂×C₄×D₁₃	1	8	yes	complemented
583	D₈	—	13	8	no	—
584	D₈	—	13	4	no	—
585	D₈	C₂×C₄×D₁₃	1	4	yes	complemented
586	M₁₆	—	2	2	no	—
587	M₁₆	—	2	8	no	—
588	M₁₆	—	13	4	no	—
589	M₁₆	—	26	8	no	—
590	M₁₆	—	26	8	no	—
591	M₁₆	—	26	8	no	—
592	M₁₆	—	26	2	no	—
593	M₁₆	—	26	8	no	—
594	M₁₆	C₂³×D₁₃	1	4	yes	—
595	C₂×C₈	—	2	2	no	—
596	C₂×C₈	—	2	8	no	—
597	C₂×C₈	—	13	1	no	—
598	C₂×C₈	—	13	1	no	—
599	C₂×C₈	—	13	2	no	—
600	C₂×C₈	—	13	1	no	—
601	C₂×C₈	—	13	1	no	—
602	C₂×C₈	—	13	2	no	—
603	C₂×C₈	—	13	2	no	—
604	C₂×C₈	—	13	2	no	—
605	C₂×C₈	—	13	4	no	—
606	C₂×C₈	—	13	4	no	—
607	C₂×C₈	—	13	4	no	—
608	C₂×C₈	—	13	4	no	—
609	C₂×C₈	—	13	4	no	—
610	C₂×C₈	—	13	4	no	—
611	C₂×C₈	—	13	4	no	—
612	C₂×C₈	—	13	4	no	—
613	C₂×C₈	—	26	8	no	—
614	C₂×C₈	—	26	8	no	—
615	C₂×C₈	—	26	8	no	—
616	C₂×C₈	—	26	2	no	—
617	C₂×C₈	—	26	8	no	—
618	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
619	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
620	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
621	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
622	C₂×C₈	D₄×D₁₃	1	2	yes	—
623	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
624	C₂×C₈	C₂³×D₁₃	1	2	yes	—
625	C₂×C₈	C₂³×D₁₃	1	2	yes	—
626	C₄²	—	2	1	no	—
627	C₄²	—	13	2	no	—
628	C₄²	—	26	4	no	—
629	C₄²	—	26	1	no	—
630	C₄²	C₂³×D₁₃	1	2	yes	—
631	C₁₃	C₂²×#443	1	1	yes	characteristic, complemented, Sylow
632	C₂³	—	2	2	no	—
633	C₂³	—	13	1	no	—
634	C₂³	—	13	2	no	—
635	C₂³	—	13	1	no	—
636	C₂³	—	13	2	no	—
637	C₂³	—	26	4	no	—
638	C₂³	—	26	8	no	—
639	C₂³	—	26	2	no	—
640	C₂³	—	52	8	no	—
641	C₂³	#41×D₁₃	1	1	yes	characteristic
642	Q₈	—	2	2	no	—
643	Q₈	—	13	4	no	—
644	Q₈	—	26	8	no	—
645	Q₈	—	26	2	no	—
646	Q₈	C₂²×C₄×D₁₃	1	4	yes	—
647	D₄	—	2	4	no	—
648	D₄	—	2	4	no	—
649	D₄	—	2	2	no	—
650	D₄	—	13	4	no	—
651	D₄	—	26	8	no	—
652	D₄	—	26	8	no	—
653	D₄	—	26	8	no	—
654	D₄	—	26	4	no	—
655	D₄	—	26	4	no	—
656	D₄	—	26	2	no	—
657	D₄	C₂²×C₄×D₁₃	1	4	yes	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	4	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	13	1	no	—
664	C₂×C₄	—	13	1	no	—
665	C₂×C₄	—	13	2	no	—
666	C₂×C₄	—	13	2	no	—
667	C₂×C₄	—	13	2	no	—
668	C₂×C₄	—	13	2	no	—
669	C₂×C₄	—	13	2	no	—
670	C₂×C₄	—	13	2	no	—
671	C₂×C₄	—	13	2	no	—
672	C₂×C₄	—	13	2	no	—
673	C₂×C₄	—	13	2	no	—
674	C₂×C₄	—	13	2	no	—
675	C₂×C₄	—	26	8	no	—
676	C₂×C₄	—	26	8	no	—
677	C₂×C₄	—	26	16	no	—
678	C₂×C₄	—	26	8	no	—
679	C₂×C₄	—	26	4	no	—
680	C₂×C₄	—	26	2	no	—
681	C₂×C₄	—	26	2	no	—
682	C₂×C₄	—	26	4	no	—
683	C₂×C₄	—	26	4	no	—
684	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
685	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
686	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
687	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
688	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
689	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
690	C₈	—	2	4	no	—
691	C₈	—	13	2	no	—
692	C₈	—	13	2	no	—
693	C₈	—	13	2	no	—
694	C₈	—	13	2	no	—
695	C₈	—	26	4	no	—
696	C₈	C₂²×C₄×D₁₃	1	2	yes	—
697	C₈	C₂²×C₄×D₁₃	1	2	yes	—
698	C₈	C₂×D₄×D₁₃	1	2	yes	—
699	C₈	C₂×D₄×D₁₃	1	2	yes	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	4	no	—
702	C₂²	—	4	4	no	—
703	C₂²	—	13	2	no	—
704	C₂²	—	13	4	no	—
705	C₂²	—	13	2	no	—
706	C₂²	—	26	4	no	—
707	C₂²	—	26	4	no	—
708	C₂²	—	26	2	no	—
709	C₂²	—	26	4	no	—
710	C₂²	—	52	16	no	—
711	C₂²	—	52	4	no	—
712	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
713	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
714	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
715	C₄	—	2	4	no	—
716	C₄	—	2	4	no	—
717	C₄	—	13	2	no	—
718	C₄	—	13	2	no	—
719	C₄	—	26	4	no	—
720	C₄	—	26	4	no	—
721	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
722	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
723	C₄	C₂³×C₄×D₁₃	1	1	yes	characteristic
724	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
725	C₂	—	2	1	no	—
726	C₂	—	2	1	no	—
727	C₂	—	4	4	no	—
728	C₂	—	13	4	no	—
729	C₂	—	26	2	no	—
730	C₂	—	52	4	no	—
731	C₂	D₁₃×#443	1	2	yes	direct product factor
732	C₂	C₂×C₄×D₄×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	D₄×D₁₃
commutator	C₄×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#443	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×D₁₃×#135	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	C₂×#443	D₁₃
hypocenter	C₁₃	C₂²×#443
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₈ ◁ C₂²×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. C₂×D₁₃×#131	C₂	semidirect
3. C₂×#11718361	C₂	semidirect
4. C₂×#11718857	C₂	semidirect
5. C₂×#11718556	C₂	semidirect
6. C₂×#11718805	C₂	semidirect
7. C₂×#11718485	C₂	semidirect
8. D₁₃×#443	C₂	direct (N × H)
9. C₂×D₁₃×#108	C₂	semidirect
10. C₂×D₁₃×#104	C₂	semidirect
11. C₂×C₄×C₈×D₁₃	C₂	semidirect
12. C₂×C₁₃×#443	C₂	semidirect
15. C₂×C₁₃×#131	C₂²	semidirect
17. C₂×#88202	C₂²	semidirect
18. D₁₃×#135	C₄	semidirect
20. C₂×#88173	C₄	semidirect
21. C₂×Q₁₆×D₁₃	C₄	semidirect
22. C₂×#88170	C₄	semidirect
23. C₂×SD₁₆×D₁₃	C₄	semidirect
24. C₂×#88166	C₄	semidirect
25. C₂×D₈×D₁₃	C₄	semidirect
27. D₁₃×#131	C₂²	semidirect
29. C₂×#88161	C₂²	semidirect
34. C₂×#88155	C₂²	semidirect
39. C₁₃×#443	C₂²	semidirect
40. C₂×C₁₃×#108	C₂²	semidirect
41. C₂×C₁₃×#104	C₂²	semidirect
42. C₂×C₄×C₈×C₁₃	C₂²	semidirect
43. C₂×#88077	C₂²	semidirect
44. #11718857	C₂²	semidirect
45. #11718805	C₂²	semidirect
46. C₂×#88065	C₂²	semidirect
47. C₂×#88062	C₂²	semidirect
48. C₂×#88059	C₂²	semidirect
49. C₂×C₈×Dic₁₃	C₂²	semidirect
50. C₂×C₈×Dic₁₃	C₂²	semidirect
51. C₂×#88045	C₂²	semidirect
52. C₂×C₄×#1055	C₂²	semidirect
53. #11718556	C₂²	semidirect
54. D₁₃×#108	C₂²	semidirect
55. #11718485	C₂²	semidirect
56. D₁₃×#104	C₂²	semidirect
57. #11718361	C₂²	semidirect
58. C₄×C₈×D₁₃	C₂²	semidirect
75. C₁₃×#135	C₂×C₄	semidirect
77. C₂×C₁₃×Q₁₆	C₂×C₄	semidirect
78. C₂×C₁₃×SD₁₆	C₂×C₄	semidirect
79. C₂×C₁₃×D₈	C₂×C₄	semidirect
81. C₁₃×#131	C₂³	semidirect
88. #88204	C₂×C₄	semidirect
91. #88202	C₂³	semidirect
92. C₂×#6107	C₂×C₄	semidirect
93. C₂×#6106	C₂×C₄	semidirect
94. C₂×#6105	C₂×C₄	semidirect
95. C₂×#6104	C₂×C₄	semidirect
103. #88173	C₂×C₄	semidirect
104. Q₁₆×D₁₃	C₂×C₄	semidirect
105. #88170	C₂×C₄	semidirect
106. SD₁₆×D₁₃	C₂×C₄	semidirect
107. #88166	C₂×C₄	semidirect
108. D₈×D₁₃	C₂×C₄	semidirect
111. #88161	C₂³	semidirect
115. C₂×Dic₅₂	C₂×C₄	semidirect
116. #88158	C₂×C₄	semidirect
118. C₂×D₁₀₄	C₂×C₄	semidirect
119. C₂×#6095	C₂×C₄	semidirect
122. #88155	C₂³	semidirect
144. C₁₃×#108	C₂³	semidirect
145. C₁₃×#104	C₂³	semidirect
146. C₄×C₈×C₁₃	C₂³	semidirect
147. #88077	C₂³	semidirect
148. #88065	C₂³	semidirect
149. #88062	C₂³	semidirect
150. #88059	C₂³	semidirect
151. C₈×Dic₁₃	C₂³	semidirect
152. C₈×Dic₁₃	C₂³	semidirect
153. #88045	C₂³	semidirect
154. C₄×#1055	C₂³	semidirect
211. C₁₃×Q₁₆	C₂²×C₄	semidirect
212. C₁₃×SD₁₆	C₂²×C₄	semidirect
213. C₁₃×D₈	C₂²×C₄	semidirect
229. #6107	C₂²×C₄	semidirect
230. #6106	C₂²×C₄	semidirect
231. #6105	C₂²×C₄	semidirect
232. #6104	C₂²×C₄	semidirect
249. Dic₅₂	C₂²×C₄	semidirect
250. D₁₀₄	C₂²×C₄	semidirect
251. #6095	C₂²×C₄	semidirect
274. C₂×#443	D₁₃	direct (N × H)
365. C₂×#131	C₂×D₁₃	semidirect
377. #443	C₂×D₁₃	direct (N × H)
381. C₂×#108	C₂×D₁₃	semidirect
386. C₂×#104	C₂×D₁₃	semidirect
391. C₂×C₄×C₈	C₂×D₁₃	semidirect
404. C₂×D₁₃	#443	direct (N × H)
440. #135	C₄×D₁₃	semidirect
445. C₂×Q₁₆	C₄×D₁₃	semidirect
450. C₂×SD₁₆	C₄×D₁₃	semidirect
454. C₂×D₈	C₄×D₁₃	semidirect
464. #131	C₂²×D₁₃	semidirect
504. #108	C₂²×D₁₃	semidirect
508. #104	C₂²×D₁₃	semidirect
512. C₄×C₈	C₂²×D₁₃	semidirect
516. C₂×C₁₃	C₂×#443	semidirect
520. D₁₃	C₂×#443	direct (N × H)
578. Q₁₆	C₂×C₄×D₁₃	semidirect
582. SD₁₆	C₂×C₄×D₁₃	semidirect
585. D₈	C₂×C₄×D₁₃	semidirect
631. C₁₃	C₂²×#443	semidirect
731. C₂	D₁₃×#443	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×D₁₃×#135	2
C₂×D₁₃×#131	2
C₂×#11718361	2
C₂×#11718857	2
C₂×#11718556	2
C₂×#11718805	2
C₂×#11718485	2
D₁₃×#443	2
C₂×D₁₃×#108	2
C₂×D₁₃×#104	2
C₂×C₄×C₈×D₁₃	2
C₂×C₁₃×#443	2
C₂²×#443	13

Subgroups — C2×D13×#443 #16727206

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#443 #16727206