Subgroups — C₂×#107×Dic₁₃ #15860965

Order 3328.

1358 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#88058	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₈×Dic₁₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄⋊C₄×Dic₁₃	C₂	1	2	yes	maximal
4	#107×Dic₁₃	C₂	1	8	yes	maximal, direct product factor
5	C₂×#11718121	C₂	1	2	yes	maximal
6	C₂²×C₁₃×#107	C₂	1	1	yes	maximal, characteristic
7	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
8	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
9	C₂²×C₄⋊Dic₁₃	C₂²	1	2	yes	—
10	C₂²×C₄×Dic₁₃	—	2	2	no	—
11	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
12	C₂³×#1055	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#107	C₄	1	8	yes	complemented
14	C₂×C₁₃×#107	C₂²	1	4	yes	—
15	C₂×#88071	—	2	2	no	—
16	C₂×#88058	C₄	1	8	yes	complemented
17	C₂×#88058	C₂²	1	4	yes	—
18	C₂×C₈×Dic₁₃	C₄	1	8	yes	complemented
19	C₂×C₈×Dic₁₃	C₂²	1	4	yes	—
20	C₄⋊C₄×Dic₁₃	—	2	4	no	—
21	C₄⋊C₄×Dic₁₃	C₂²	1	8	yes	—
22	#11718121	C₂²	1	8	yes	—
23	C₂³×C₄×C₁₃	—	2	2	no	—
24	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
25	C₂³×Dic₁₃	—	2	2	no	—
26	C₂³×Dic₁₃	D₄	1	1	yes	characteristic
27	C₂³×Dic₁₃	D₄	1	1	yes	characteristic
28	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
29	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
30	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
31	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
32	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
33	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
34	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	—
35	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
36	C₂×C₄⋊Dic₁₃	—	2	2	no	—
37	C₂×C₄⋊Dic₁₃	—	2	4	no	—
38	C₂×C₄⋊Dic₁₃	C₂×C₄	1	8	yes	—
39	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
40	C₂×C₄×Dic₁₃	—	2	8	no	—
41	C₂×C₄×Dic₁₃	—	4	8	no	—
42	C₂×C₄×Dic₁₃	C₂×C₄	1	4	yes	—
43	C₂×C₄×Dic₁₃	D₄	1	2	yes	—
44	C₂×C₄×Dic₁₃	Q₈	1	4	yes	—
45	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
46	C₂²×#1055	—	2	2	no	—
47	C₂²×#1055	—	2	2	no	—
48	C₂²×#1055	C₂×C₄	1	4	yes	—
49	C₂²×#1055	C₂³	1	2	yes	—
50	C₁₃×#107	C₂×C₄	1	16	yes	complemented
51	#88071	—	2	8	no	—
52	#88058	C₂×C₄	1	16	yes	complemented
53	C₈×Dic₁₃	C₂×C₄	1	16	yes	complemented
54	C₂×C₄×#107	—	13	1	no	maximal, Sylow
55	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
56	C₂²×C₄×C₁₃	—	2	8	no	—
57	C₂²×C₄×C₁₃	—	2	4	no	—
58	C₂²×C₄×C₁₃	—	4	4	no	—
59	C₂²×C₄×C₁₃	—	4	4	no	—
60	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
61	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
62	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
63	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
65	C₂²×C₄×C₁₃	#41	1	2	yes	—
66	C₂²×C₄×C₁₃	#41	1	2	yes	—
67	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
68	C₂²×Dic₁₃	—	2	2	no	—
69	C₂²×Dic₁₃	—	2	2	no	—
70	C₂²×Dic₁₃	—	2	8	no	—
71	C₂²×Dic₁₃	—	2	4	no	—
72	C₂²×Dic₁₃	—	4	4	no	—
73	C₂²×Dic₁₃	—	4	4	no	—
74	C₂²×Dic₁₃	C₄⋊C₄	1	4	yes	—
75	C₂²×Dic₁₃	C₄⋊C₄	1	4	yes	—
76	C₂²×Dic₁₃	D₈	1	4	yes	—
77	C₂²×Dic₁₃	Q₁₆	1	4	yes	—
78	C₂²×Dic₁₃	C₂×D₄	1	2	yes	—
79	C₂²×Dic₁₃	C₂×D₄	1	2	yes	—
80	C₂×C₈×C₁₃	C₄²	1	16	yes	complemented
81	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
82	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
83	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
84	C₁₃×C₄⋊C₄	—	2	8	no	—
85	C₁₃×C₄⋊C₄	—	2	4	no	—
86	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
87	C₄⋊Dic₁₃	—	2	8	no	—
88	C₄⋊Dic₁₃	—	2	4	no	—
89	C₄⋊Dic₁₃	C₂²×C₄	1	8	yes	—
90	C₄×Dic₁₃	—	4	16	no	—
91	C₄×Dic₁₃	C₄⋊C₄	1	8	yes	—
92	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
93	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
94	C₂×#1055	—	2	8	no	—
95	C₂×#1055	—	2	2	no	—
96	C₂×#1055	—	2	2	no	—
97	C₂×#1055	C₂²×C₄	1	4	yes	—
98	C₂²×#107	—	13	1	no	—
99	C₂²×#107	D₁₃	1	1	yes	characteristic
100	C₂²×C₄×C₈	—	13	1	no	—
101	C₂×C₄×C₄⋊C₄	—	13	2	no	—
102	C₄×#107	—	13	8	no	—
103	C₂×#340	—	13	2	no	—
104	C₂³×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
105	C₂³×C₁₃	C₄×D₄	1	2	yes	—
106	C₂³×C₁₃	C₄×D₄	1	2	yes	—
107	C₂³×C₁₃	C₂×D₈	1	2	yes	—
108	C₂³×C₁₃	C₂×Q₁₆	1	2	yes	—
109	C₂³×C₁₃	#135	1	2	yes	—
110	C₂³×C₁₃	#135	1	2	yes	—
111	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
112	C₂×C₄×C₁₃	—	2	8	no	—
113	C₂×C₄×C₁₃	—	4	4	no	—
114	C₂×C₄×C₁₃	—	4	4	no	—
115	C₂×C₄×C₁₃	—	4	16	no	—
116	C₂×C₄×C₁₃	C₂×C₄²	1	4	yes	—
117	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
118	C₂×C₄×C₁₃	#117	1	4	yes	—
119	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
120	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
121	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
122	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
123	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
124	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
125	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
128	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
129	C₂×Dic₁₃	—	2	2	no	—
130	C₂×Dic₁₃	—	2	2	no	—
131	C₂×Dic₁₃	—	2	8	no	—
132	C₂×Dic₁₃	—	2	8	no	—
133	C₂×Dic₁₃	—	4	4	no	—
134	C₂×Dic₁₃	—	4	4	no	—
135	C₂×Dic₁₃	—	4	16	no	—
136	C₂×Dic₁₃	#107	1	16	yes	direct product factor
137	C₂×Dic₁₃	C₂×C₄⋊C₄	1	4	yes	—
138	C₂×Dic₁₃	C₂×C₄⋊C₄	1	4	yes	—
139	C₂×Dic₁₃	C₂×D₈	1	4	yes	—
140	C₂×Dic₁₃	C₂×Q₁₆	1	4	yes	—
141	C₈×C₁₃	C₂×C₄²	1	8	yes	complemented
142	#1055	—	2	4	no	—
143	C₂³×C₈	—	13	1	no	—
144	C₂³×C₈	C₂×D₁₃	1	1	yes	characteristic
145	C₂²×C₄⋊C₄	—	13	2	no	—
146	C₂²×C₄⋊C₄	C₂×D₁₃	1	2	yes	—
147	C₂²×C₄²	—	13	1	no	—
148	C₂²×C₄²	—	26	2	no	—
149	C₂×#107	—	13	8	no	—
150	C₂×#107	—	13	4	no	—
151	C₂×#107	Dic₁₃	1	8	yes	direct product factor
152	C₂×#107	C₂×D₁₃	1	4	yes	—
153	C₂×C₄×C₈	—	13	8	no	—
154	C₂×C₄×C₈	—	13	4	no	—
155	C₄×C₄⋊C₄	—	13	8	no	—
156	C₄×C₄⋊C₄	—	26	4	no	—
157	C₂×#95	—	26	2	no	—
158	#340	—	13	8	no	—
159	C₂²×C₁₃	C₄×C₄⋊C₄	1	4	yes	—
160	C₂²×C₁₃	C₂×#107	1	4	yes	—
161	C₂²×C₁₃	#427	1	4	yes	—
162	C₂²×C₁₃	C₄×D₈	1	4	yes	—
163	C₂²×C₁₃	C₄×D₈	1	4	yes	—
164	C₂²×C₁₃	C₄×Q₁₆	1	4	yes	—
165	C₂²×C₁₃	C₄×Q₁₆	1	4	yes	—
166	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
167	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
168	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
169	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
170	C₂²×C₁₃	C₂²×Q₁₆	1	1	yes	characteristic
171	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
172	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
173	C₄×C₁₃	—	4	8	no	—
174	C₄×C₁₃	C₄×C₄⋊C₄	1	4	yes	—
175	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
176	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
177	C₄×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
178	C₄×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
179	Dic₁₃	—	2	4	no	—
180	Dic₁₃	—	4	8	no	—
181	Dic₁₃	C₂×#107	1	8	yes	direct product factor
182	C₂³×C₄	—	2	2	no	—
183	C₂³×C₄	—	13	1	no	—
184	C₂³×C₄	—	13	1	no	—
185	C₂³×C₄	—	26	2	no	—
186	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
187	C₂²×C₈	—	13	4	no	—
188	C₂²×C₈	—	13	2	no	—
189	C₂²×C₈	—	26	2	no	—
190	C₂²×C₈	—	26	2	no	—
191	C₂²×C₈	C₄×D₁₃	1	4	yes	—
192	C₂²×C₈	C₄×D₁₃	1	4	yes	—
193	C₂²×C₈	C₂×Dic₁₃	1	4	yes	—
194	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
195	C₂×C₄⋊C₄	—	2	2	no	—
196	C₂×C₄⋊C₄	—	2	4	no	—
197	C₂×C₄⋊C₄	—	13	8	no	—
198	C₂×C₄⋊C₄	—	13	4	no	—
199	C₂×C₄⋊C₄	—	26	2	no	—
200	C₂×C₄⋊C₄	—	26	4	no	—
201	C₂×C₄⋊C₄	C₂×Dic₁₃	1	8	yes	—
202	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	—
203	C₂×C₄²	—	13	4	no	—
204	C₂×C₄²	—	13	2	no	—
205	C₂×C₄²	—	13	4	no	—
206	C₂×C₄²	—	13	2	no	—
207	C₂×C₄²	—	26	8	no	—
208	C₂×C₄²	—	52	8	no	—
209	#107	—	13	16	no	—
210	#107	C₂×Dic₁₃	1	16	yes	direct product factor
211	C₄×C₈	—	13	16	no	—
212	#95	—	26	8	no	—
213	C₂×C₁₃	C₄×#107	1	8	yes	complemented
214	C₂×C₁₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
215	C₂×C₁₃	C₂²×#107	1	1	yes	characteristic
216	C₂×C₁₃	C₂×#427	1	1	yes	characteristic
217	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
218	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
219	C₂×C₁₃	C₂×C₄×Q₁₆	1	1	yes	characteristic
220	C₂×C₁₃	C₂×C₄×Q₁₆	1	1	yes	characteristic
221	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
222	C₂²×C₄	—	2	8	no	—
223	C₂²×C₄	—	2	4	no	—
224	C₂²×C₄	—	4	4	no	—
225	C₂²×C₄	—	4	4	no	—
226	C₂²×C₄	—	13	4	no	—
227	C₂²×C₄	—	13	4	no	—
228	C₂²×C₄	—	13	4	no	—
229	C₂²×C₄	—	13	2	no	—
230	C₂²×C₄	—	13	4	no	—
231	C₂²×C₄	—	13	2	no	—
232	C₂²×C₄	—	26	2	no	—
233	C₂²×C₄	—	26	2	no	—
234	C₂²×C₄	—	26	8	no	—
235	C₂²×C₄	—	26	4	no	—
236	C₂²×C₄	—	52	4	no	—
237	C₂²×C₄	—	52	4	no	—
238	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
239	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
240	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
241	C₂²×C₄	#6129	1	2	yes	—
242	C₂²×C₄	Q₈×D₁₃	1	2	yes	—
243	C₂²×C₄	#6131	1	2	yes	—
244	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
245	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
246	C₂×C₈	—	13	4	no	—
247	C₂×C₈	—	26	8	no	—
248	C₂×C₈	—	26	2	no	—
249	C₂×C₈	—	26	2	no	—
250	C₂×C₈	C₄×Dic₁₃	1	16	yes	complemented
251	C₂×C₈	C₂×C₄×D₁₃	1	4	yes	—
252	C₂×C₈	C₂×C₄×D₁₃	1	4	yes	—
253	C₂×C₈	C₂²×Dic₁₃	1	4	yes	—
254	C₄⋊C₄	—	2	8	no	—
255	C₄⋊C₄	—	2	4	no	—
256	C₄⋊C₄	—	13	8	no	—
257	C₄⋊C₄	—	26	8	no	—
258	C₄⋊C₄	—	26	4	no	—
259	C₄⋊C₄	C₂²×Dic₁₃	1	8	yes	—
260	C₄²	—	13	8	no	—
261	C₄²	—	13	4	no	—
262	C₄²	—	13	4	no	—
263	C₄²	—	52	16	no	—
264	C₁₃	C₂×C₄×#107	1	1	yes	characteristic, complemented, Sylow
265	C₂³	C₄⋊C₄×D₁₃	1	2	yes	—
266	C₂³	#88147	1	2	yes	—
267	C₂³	D₈×D₁₃	1	2	yes	—
268	C₂³	#88166	1	2	yes	—
269	C₂³	Q₁₆×D₁₃	1	2	yes	—
270	C₂³	#88173	1	2	yes	—
271	C₂³	D₄×Dic₁₃	1	2	yes	—
272	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
273	C₂×C₄	—	2	8	no	—
274	C₂×C₄	—	4	4	no	—
275	C₂×C₄	—	4	4	no	—
276	C₂×C₄	—	4	16	no	—
277	C₂×C₄	—	13	4	no	—
278	C₂×C₄	—	13	4	no	—
279	C₂×C₄	—	13	4	no	—
280	C₂×C₄	—	13	16	no	—
281	C₂×C₄	—	13	4	no	—
282	C₂×C₄	—	26	2	no	—
283	C₂×C₄	—	26	2	no	—
284	C₂×C₄	—	26	8	no	—
285	C₂×C₄	—	26	8	no	—
286	C₂×C₄	—	52	4	no	—
287	C₂×C₄	—	52	4	no	—
288	C₂×C₄	—	52	16	no	—
289	C₂×C₄	#88141	1	4	yes	—
290	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
291	C₂×C₄	#88146	1	4	yes	—
292	C₂×C₄	#88147	1	2	yes	—
293	C₂×C₄	C₂×C₄×Dic₁₃	1	4	yes	—
294	C₂×C₄	D₄×Dic₁₃	1	2	yes	—
295	C₂×C₄	Q₈×Dic₁₃	1	4	yes	—
296	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
297	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
298	C₂×C₄	C₂×#6129	1	1	yes	characteristic
299	C₂×C₄	C₂×Q₈×D₁₃	1	1	yes	characteristic
300	C₂×C₄	C₂×#6131	1	1	yes	characteristic
301	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
302	C₈	—	26	4	no	—
303	C₈	C₂×C₄×Dic₁₃	1	8	yes	complemented
304	C₂²	#11718533	1	4	yes	—
305	C₂²	#11718534	1	4	yes	—
306	C₂²	D₁₃×#107	1	4	yes	—
307	C₂²	#11718541	1	4	yes	—
308	C₂²	C₄⋊C₄×Dic₁₃	1	4	yes	—
309	C₂²	D₈×Dic₁₃	1	4	yes	—
310	C₂²	Q₁₆×Dic₁₃	1	4	yes	—
311	C₂²	C₂×C₄⋊C₄×D₁₃	1	1	yes	characteristic
312	C₂²	C₂×#88147	1	1	yes	characteristic
313	C₂²	C₂×D₈×D₁₃	1	1	yes	characteristic
314	C₂²	C₂×#88166	1	1	yes	characteristic
315	C₂²	C₂×Q₁₆×D₁₃	1	1	yes	characteristic
316	C₂²	C₂×#88173	1	1	yes	characteristic
317	C₂²	C₂×D₄×Dic₁₃	1	1	yes	characteristic
318	C₄	—	4	8	no	—
319	C₄	—	13	8	no	—
320	C₄	—	26	4	no	—
321	C₄	—	52	8	no	—
322	C₄	C₄⋊C₄×Dic₁₃	1	4	yes	—
323	C₄	C₂×#88141	1	1	yes	characteristic
324	C₄	C₂×#88146	1	1	yes	characteristic
325	C₄	C₂²×C₄×Dic₁₃	1	1	yes	characteristic
326	C₄	C₂×Q₈×Dic₁₃	1	1	yes	characteristic
327	C₂	#107×Dic₁₃	1	8	yes	direct product factor
328	C₂	C₂×C₄⋊C₄×Dic₁₃	1	1	yes	characteristic
329	C₂	C₂×D₁₃×#107	1	1	yes	characteristic
330	C₂	C₂×#11718541	1	1	yes	characteristic
331	C₂	C₂×#11718533	1	1	yes	characteristic
332	C₂	C₂×D₈×Dic₁₃	1	1	yes	characteristic
333	C₂	C₂×#11718534	1	1	yes	characteristic
334	C₂	C₂×Q₁₆×Dic₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴	D₄×D₁₃
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₂²×C₁₃×#107	C₂
socle, prime radical	C₂⁴×C₁₃	C₂×D₄
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	C₂²×#107	D₁₃
hypocenter	C₁₃	C₂×C₄×#107
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂⁴ ◁ C₂³×C₄ ◁ C₂²×#107

Complements

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

N	H ≅ G/N	type
4. #107×Dic₁₃	C₂	direct (N × H)
13. C₂×C₁₃×#107	C₄	semidirect
16. C₂×#88058	C₄	semidirect
18. C₂×C₈×Dic₁₃	C₄	semidirect
50. C₁₃×#107	C₂×C₄	semidirect
52. #88058	C₂×C₄	semidirect
53. C₈×Dic₁₃	C₂×C₄	semidirect
80. C₂×C₈×C₁₃	C₄²	semidirect
136. C₂×Dic₁₃	#107	direct (N × H)
141. C₈×C₁₃	C₂×C₄²	semidirect
151. C₂×#107	Dic₁₃	direct (N × H)
181. Dic₁₃	C₂×#107	direct (N × H)
210. #107	C₂×Dic₁₃	direct (N × H)
213. C₂×C₁₃	C₄×#107	semidirect
250. C₂×C₈	C₄×Dic₁₃	semidirect
264. C₁₃	C₂×C₄×#107	semidirect
303. C₈	C₂×C₄×Dic₁₃	semidirect
327. C₂	#107×Dic₁₃	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#88058	2
C₂²×C₈×Dic₁₃	2
C₂×C₄⋊C₄×Dic₁₃	2
#107×Dic₁₃	2
C₂×#11718121	2
C₂²×C₁₃×#107	2
C₂×C₄×#107	13

Subgroups — C2×#107×Dic13 #15860965

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#107×Dic₁₃ #15860965