Subgroups — #15833041

Order 3328.

678 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13124837	C₂	1	1	yes	maximal, characteristic
2	#13123911	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123859	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113702	C₂	1	2	yes	maximal, complemented
5	#13113667	C₂	1	2	yes	maximal, complemented
6	#13113661	C₂	1	2	yes	maximal, complemented
7	C₈×D₁₀₄	C₂	1	2	yes	maximal, complemented
8	#13113616	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113280	C₂	1	1	yes	maximal, characteristic, complemented
10	#13113254	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1453	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719182	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
14	C₁₃×#431	C₂²	1	1	yes	characteristic
15	C₁₃×#431	C₂²	1	1	yes	characteristic
16	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
17	#11718587	C₂²	1	1	yes	characteristic
18	#11718586	C₂²	1	1	yes	characteristic
19	#11718507	C₄	1	2	yes	—
20	#11718504	C₄	1	2	yes	—
21	#11718497	—	2	2	no	—
22	#11718495	—	2	2	no	—
23	#11718397	C₄	1	2	yes	—
24	#11718393	C₄	1	2	yes	—
25	#11718388	—	2	2	no	—
26	D₁₃×C₂²⋊C₈	—	2	2	no	—
27	C₄×D₁₀₄	C₂²	1	2	yes	—
28	C₄×D₁₀₄	C₂²	1	2	yes	—
29	#11718349	C₂²	1	2	yes	complemented
30	C₈×D₅₂	C₂²	1	2	yes	—
31	C₈×D₅₂	C₂²	1	2	yes	—
32	C₈×D₅₂	C₂²	1	2	yes	complemented
33	C₁₃×#322	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#322	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#322	C₂²	1	1	yes	characteristic, complemented
36	C₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	#11718051	C₂²	1	2	yes	—
38	#11718051	C₂²	1	2	yes	—
39	#11718051	C₂²	1	2	yes	complemented
40	#11718051	C₂²	1	2	yes	complemented
41	#11718050	C₂²	1	2	yes	complemented
42	#11718049	C₂²	1	2	yes	complemented
43	C₂×#6127	—	2	1	no	—
44	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
45	C₂²×C₄×D₁₃	—	2	1	no	—
46	C₂×C₁₃×M₁₆	—	2	1	no	—
47	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
48	#88184	—	2	1	no	—
49	#88184	C₂×C₄	1	2	yes	—
50	C₂×#6103	—	2	1	no	—
51	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
52	C₂×D₁₀₄	C₂×C₄	1	2	yes	—
53	C₂×D₁₀₄	C₂×C₄	1	2	yes	—
54	C₂×#6094	—	2	2	no	—
55	C₂×C₈×D₁₃	—	2	2	no	—
56	C₂×C₈×D₁₃	—	2	2	no	—
57	C₂×C₈×D₁₃	—	2	2	no	—
58	#88129	—	2	1	no	—
59	#88128	C₂×C₄	1	1	yes	characteristic
60	C₄×D₅₂	—	2	1	no	—
61	C₄×D₅₂	—	2	1	no	—
62	C₄×D₅₂	—	2	1	no	—
63	C₄×D₅₂	C₂×C₄	1	2	yes	—
64	C₄×D₅₂	C₂³	1	2	yes	—
65	C₄×D₅₂	C₂³	1	2	yes	—
66	#88123	C₂×C₄	1	1	yes	characteristic
67	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
68	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
69	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
70	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
71	C₁₃×#97	—	2	1	no	—
72	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₂²⋊#1055	—	2	1	no	—
79	C₂²⋊#1055	—	2	1	no	—
80	#88061	C₂×C₄	1	2	yes	—
81	#88061	C₂×C₄	1	2	yes	—
82	#88061	C₂×C₄	1	2	yes	—
83	#88061	C₂×C₄	1	2	yes	—
84	#88060	—	2	2	no	—
85	#88060	—	2	2	no	—
86	#88060	—	2	2	no	—
87	#88060	—	2	2	no	—
88	#88058	C₂×C₄	1	2	yes	—
89	#88058	C₂×C₄	1	2	yes	—
90	C₄⋊#1055	C₂³	1	2	yes	—
91	C₄⋊#1055	C₂³	1	2	yes	—
92	#88043	—	2	1	no	—
93	C₄×#1055	—	2	1	no	—
94	#17922	—	13	1	no	maximal, Sylow
95	C₂³×D₁₃	—	2	1	no	—
96	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
99	C₂×C₂²⋊D₁₃	—	2	2	no	—
100	C₂²×Dic₁₃	—	2	1	no	—
101	#6127	—	8	2	no	—
102	C₂×D₅₂	—	2	1	no	—
103	C₂×D₅₂	—	2	4	no	—
104	C₂×D₅₂	—	2	1	no	—
105	C₂×D₅₂	—	2	1	no	—
106	C₂×D₅₂	C₂²×C₄	1	2	yes	—
107	C₂×D₅₂	C₂²×C₄	1	2	yes	—
108	C₂×C₄×D₁₃	—	2	2	no	—
109	C₂×C₄×D₁₃	—	2	2	no	—
110	C₂×C₄×D₁₃	—	2	2	no	—
111	C₂×C₄×D₁₃	—	8	2	no	—
112	C₂×Dic₂₆	—	2	1	no	—
113	C₁₃×M₁₆	—	4	2	no	—
114	C₂×C₈×C₁₃	—	2	1	no	—
115	C₂×C₈×C₁₃	—	2	1	no	—
116	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
117	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
118	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
119	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
120	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
121	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₃	#41	1	1	yes	characteristic
123	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
124	#6103	—	2	2	no	—
125	#6103	—	2	2	no	—
126	#6103	—	2	2	no	—
127	#6103	—	2	2	no	—
128	C₄⋊Dic₁₃	—	2	1	no	—
129	C₄⋊Dic₁₃	—	2	1	no	—
130	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
131	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
132	C₂×#1055	—	2	2	no	—
133	C₂×#1055	—	2	2	no	—
134	D₁₀₄	—	2	4	no	—
135	D₁₀₄	—	2	4	no	—
136	#6094	—	8	2	no	—
137	C₈×D₁₃	—	8	2	no	—
138	C₈×D₁₃	—	8	2	no	—
139	C₈×D₁₃	—	8	2	no	—
140	#3100	—	13	1	no	—
141	#2981	—	13	1	no	—
142	#2972	—	13	1	no	—
143	#1586	—	13	2	no	—
144	#1581	—	13	2	no	—
145	#1580	—	13	2	no	—
146	C₈×D₈	—	13	2	no	—
147	#1572	—	13	1	no	—
148	#1490	—	13	1	no	—
149	#1484	—	13	1	no	—
150	#1453	D₁₃	1	1	yes	characteristic, complemented
151	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
152	C₂²×D₁₃	—	2	2	no	—
153	C₂²×D₁₃	—	2	4	no	—
154	C₂²×D₁₃	—	2	2	no	—
155	C₂²×D₁₃	—	8	1	no	—
156	C₂²×D₁₃	—	8	1	no	—
157	C₂×C₄×C₁₃	—	2	2	no	—
158	C₂×C₄×C₁₃	—	2	2	no	—
159	C₂×C₄×C₁₃	—	4	1	no	—
160	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
166	C₂²⋊D₁₃	—	8	2	no	—
167	C₂×Dic₁₃	—	2	2	no	—
168	C₂×Dic₁₃	—	2	2	no	—
169	C₂×Dic₁₃	—	8	1	no	—
170	D₅₂	—	2	4	no	—
171	D₅₂	—	2	2	no	—
172	D₅₂	—	2	2	no	—
173	D₅₂	—	2	2	no	—
174	D₅₂	—	8	1	no	—
175	D₅₂	—	8	1	no	—
176	D₅₂	#131	1	4	yes	—
177	C₄×D₁₃	—	4	2	no	—
178	C₄×D₁₃	—	4	2	no	—
179	C₄×D₁₃	—	4	2	no	—
180	C₄×D₁₃	—	4	2	no	—
181	C₄×D₁₃	—	8	2	no	—
182	Dic₂₆	—	8	1	no	—
183	C₈×C₁₃	—	2	2	no	—
184	C₈×C₁₃	—	2	2	no	—
185	C₈×C₁₃	—	2	2	no	—
186	C₈×C₁₃	—	2	2	no	—
187	C₈×C₁₃	—	2	2	no	—
188	C₈×C₁₃	—	4	1	no	—
189	#1055	—	4	2	no	—
190	#1055	—	4	2	no	—
191	#532	—	13	1	no	—
192	C₂×C₄×D₄	—	13	1	no	—
193	#480	—	13	2	no	—
194	#474	—	13	2	no	—
195	#459	—	13	2	no	—
196	#447	—	13	2	no	—
197	C₄×D₈	—	13	2	no	—
198	C₄×D₈	—	13	2	no	—
199	#436	—	13	2	no	—
200	#435	—	26	2	no	—
201	C₈×D₄	—	13	2	no	—
202	C₈×D₄	—	13	2	no	—
203	C₈×D₄	—	13	2	no	—
204	C₈×D₄	—	26	2	no	—
205	#432	—	13	1	no	—
206	#431	—	13	1	no	—
207	#431	C₂×D₁₃	1	1	yes	characteristic
208	#431	C₂×D₁₃	1	1	yes	characteristic
209	#408	—	26	2	no	—
210	C₂×C₂²⋊C₈	—	26	2	no	—
211	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic
212	#335	—	13	2	no	—
213	#334	—	13	2	no	—
214	D₄⋊C₈	—	13	2	no	—
215	D₄⋊C₈	—	13	2	no	—
216	D₄⋊C₈	—	13	2	no	—
217	D₄⋊C₈	—	13	2	no	—
218	#322	C₂×D₁₃	1	1	yes	characteristic, complemented
219	#322	C₂×D₁₃	1	1	yes	characteristic, complemented
220	#322	C₂×D₁₃	1	1	yes	characteristic, complemented
221	C₈²	C₂×D₁₃	1	1	yes	characteristic, complemented
222	C₂²×C₁₃	—	2	1	no	—
223	C₂²×C₁₃	—	2	1	no	—
224	C₂²×C₁₃	—	2	1	no	—
225	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
226	C₂×D₁₃	—	2	4	no	—
227	C₂×D₁₃	—	4	2	no	—
228	C₂×D₁₃	—	4	2	no	—
229	C₂×D₁₃	—	4	2	no	—
230	C₂×D₁₃	—	4	2	no	—
231	C₂×D₁₃	—	4	2	no	—
232	C₂×D₁₃	—	8	4	no	—
233	C₄×C₁₃	—	2	1	no	—
234	C₄×C₁₃	—	2	1	no	—
235	C₄×C₁₃	—	2	1	no	—
236	C₄×C₁₃	—	2	1	no	—
237	C₄×C₁₃	C₂×#131	1	2	yes	—
238	C₄×C₁₃	#576	1	2	yes	—
239	Dic₁₃	—	4	2	no	—
240	Dic₁₃	—	4	2	no	—
241	C₂×#41	—	26	1	no	—
242	C₂²×D₄	—	13	1	no	—
243	C₂³×C₄	—	26	1	no	—
244	C₂×D₈	—	13	2	no	—
245	C₂×D₈	—	13	2	no	—
246	C₂×M₁₆	—	2	1	no	—
247	C₂×M₁₆	—	26	2	no	—
248	C₂²×C₈	—	26	2	no	—
249	C₂²×C₈	—	26	2	no	—
250	C₂²×C₈	—	26	2	no	—
251	C₄⋊Q₈	—	13	1	no	—
252	#127	—	13	1	no	—
253	#124	—	26	1	no	—
254	#121	—	13	2	no	—
255	#121	—	26	1	no	—
256	C₄×D₄	—	13	2	no	—
257	C₄×D₄	—	13	2	no	—
258	C₄×D₄	—	13	2	no	—
259	C₄×D₄	—	26	1	no	—
260	C₄×D₄	—	26	1	no	—
261	C₄×D₄	—	26	1	no	—
262	C₂×C₄⋊C₄	—	13	1	no	—
263	C₂×C₂²⋊C₄	—	26	1	no	—
264	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
265	#107	—	13	2	no	—
266	#107	—	13	2	no	—
267	C₄⋊C₈	—	13	2	no	—
268	C₄⋊C₈	—	13	2	no	—
269	C₄⋊C₈	C₄×D₁₃	1	2	yes	—
270	C₄⋊C₈	D₅₂	1	2	yes	—
271	#102	—	13	2	no	—
272	#102	—	13	2	no	—
273	#102	—	13	2	no	—
274	#102	—	13	2	no	—
275	C₂²⋊C₈	—	26	1	no	—
276	C₂²⋊C₈	—	26	1	no	—
277	C₂²⋊C₈	—	26	2	no	—
278	C₂²⋊C₈	—	26	2	no	—
279	C₂²⋊C₈	—	26	2	no	—
280	C₂²⋊C₈	—	26	2	no	—
281	C₂²⋊C₈	C₄×D₁₃	1	2	yes	—
282	C₂²⋊C₈	D₅₂	1	2	yes	—
283	#97	—	2	1	no	—
284	#97	—	26	1	no	—
285	C₄×C₈	—	26	1	no	—
286	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
287	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
288	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
289	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
290	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
291	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
292	C₂×C₁₃	—	4	1	no	—
293	C₂×C₁₃	#2929	1	1	yes	characteristic
294	C₂×C₁₃	#2948	1	1	yes	characteristic
295	C₂×C₁₃	#2956	1	1	yes	characteristic
296	D₁₃	—	4	4	no	—
297	D₁₃	—	8	2	no	—
298	C₂⁴	—	26	1	no	—
299	#41	—	104	2	no	—
300	C₂×Q₈	—	26	1	no	—
301	C₂×D₄	—	13	2	no	—
302	C₂×D₄	—	13	2	no	—
303	C₂×D₄	—	26	4	no	—
304	C₂×D₄	—	26	2	no	—
305	C₂×D₄	—	26	1	no	—
306	C₂×D₄	—	26	1	no	—
307	C₂×D₄	—	26	1	no	—
308	C₂²×C₄	—	26	1	no	—
309	C₂²×C₄	—	26	2	no	—
310	C₂²×C₄	—	26	2	no	—
311	C₂²×C₄	—	26	2	no	—
312	C₂²×C₄	—	104	2	no	—
313	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
314	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
315	C₂²×C₄	#6127	1	1	yes	characteristic
316	D₈	—	26	4	no	—
317	D₈	—	26	4	no	—
318	M₁₆	—	4	2	no	—
319	M₁₆	—	104	2	no	—
320	C₂×C₈	—	2	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	26	2	no	—
323	C₂×C₈	—	26	2	no	—
324	C₂×C₈	—	104	2	no	—
325	C₂×C₈	—	104	2	no	—
326	C₂×C₈	—	104	2	no	—
327	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
328	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
329	C₂×C₈	C₂×D₅₂	1	2	yes	—
330	C₂×C₈	C₂×D₅₂	1	2	yes	—
331	C₄⋊C₄	—	13	2	no	—
332	C₄⋊C₄	—	13	2	no	—
333	C₄⋊C₄	—	26	1	no	—
334	C₄⋊C₄	—	26	1	no	—
335	C₂²⋊C₄	—	26	2	no	—
336	C₂²⋊C₄	—	26	2	no	—
337	C₂²⋊C₄	—	26	2	no	—
338	C₂²⋊C₄	—	26	2	no	—
339	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
340	C₄²	C₂×D₅₂	1	1	yes	characteristic
341	C₄²	#6127	1	1	yes	characteristic
342	C₄²	C₂³×D₁₃	1	1	yes	characteristic
343	C₁₃	#17922	1	1	yes	characteristic, complemented, Sylow
344	C₂³	—	26	4	no	—
345	C₂³	—	26	2	no	—
346	C₂³	—	26	2	no	—
347	C₂³	—	104	1	no	—
348	C₂³	—	104	1	no	—
349	C₂³	C₄×D₅₂	1	1	yes	characteristic
350	Q₈	—	104	1	no	—
351	D₄	—	13	4	no	—
352	D₄	—	26	4	no	—
353	D₄	—	26	2	no	—
354	D₄	—	26	2	no	—
355	D₄	—	26	2	no	—
356	D₄	—	104	1	no	—
357	D₄	—	104	1	no	—
358	D₄	—	104	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	26	2	no	—
363	C₂×C₄	—	26	2	no	—
364	C₂×C₄	—	52	2	no	—
365	C₂×C₄	—	52	2	no	—
366	C₂×C₄	—	52	2	no	—
367	C₂×C₄	—	52	2	no	—
368	C₂×C₄	—	104	2	no	—
369	C₂×C₄	—	104	1	no	—
370	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
371	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
372	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
374	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
375	C₂×C₄	C₂×#6127	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	2	2	no	—
381	C₈	—	4	1	no	—
382	C₈	—	52	2	no	—
383	C₈	—	52	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	26	4	no	—
388	C₂²	—	52	2	no	—
389	C₂²	—	52	2	no	—
390	C₂²	—	52	2	no	—
391	C₂²	—	52	2	no	—
392	C₂²	—	52	2	no	—
393	C₂²	—	104	4	no	—
394	C₂²	C₂×C₄×D₅₂	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	52	2	no	—
400	C₄	—	52	2	no	—
401	C₄	D₁₃×#131	1	2	yes	—
402	C₄	#11719457	1	2	yes	—
403	C₂	—	4	1	no	—
404	C₂	—	52	4	no	—
405	C₂	—	104	2	no	—
406	C₂	#13123532	1	1	yes	characteristic
407	C₂	#13123689	1	1	yes	characteristic
408	C₂	#13123747	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₅₂
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1453	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13124837	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1453	D₁₃
hypocenter	C₁₃	#17922
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #1453

Complements

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

N	H ≅ G/N	type
2. #13123911	C₂	semidirect
3. #13123859	C₂	semidirect
4. #13113702	C₂	semidirect
5. #13113667	C₂	semidirect
6. #13113661	C₂	semidirect
7. C₈×D₁₀₄	C₂	semidirect
8. #13113616	C₂	semidirect
9. #13113280	C₂	semidirect
10. #13113254	C₂	semidirect
11. C₁₃×#1453	C₂	semidirect
29. #11718349	C₂²	semidirect
32. C₈×D₅₂	C₂²	semidirect
33. C₁₃×#322	C₂²	semidirect
34. C₁₃×#322	C₂²	semidirect
35. C₁₃×#322	C₂²	semidirect
36. C₈²×C₁₃	C₂²	semidirect
39. #11718051	C₂²	semidirect
40. #11718051	C₂²	semidirect
41. #11718050	C₂²	semidirect
42. #11718049	C₂²	semidirect
150. #1453	D₁₃	semidirect
218. #322	C₂×D₁₃	semidirect
219. #322	C₂×D₁₃	semidirect
220. #322	C₂×D₁₃	semidirect
221. C₈²	C₂×D₁₃	semidirect
343. C₁₃	#17922	semidirect

Maximal subgroups

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

subgroup	index
#13124837	2
#13123911	2
#13123859	2
#13113702	2
#13113667	2
#13113661	2
C₈×D₁₀₄	2
#13113616	2
#13113280	2
#13113254	2
C₁₃×#1453	2
#17922	13