Finite Group Databasebeta

← #15881073

Subgroups — #15881073

Order 3328.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718782C211yesmaximal, characteristic, complemented
2C22×#88057C211yesmaximal, characteristic, complemented
3#13117765C211yesmaximal, characteristic
4D4×C4⋊Dic13C211yesmaximal, characteristic
5#13115606C211yesmaximal, characteristic, complemented
6#13115600C211yesmaximal, characteristic, complemented
7#13115037C211yesmaximal, characteristic, complemented
8#13115031C211yesmaximal, characteristic, complemented
9#13115031C211yesmaximal, characteristic, complemented
10#13115026C211yesmaximal, characteristic, complemented
11#13115004C211yesmaximal, characteristic, complemented
12#13114869C211yesmaximal, characteristic, complemented
13#13114865C211yesmaximal, characteristic, complemented
14#13114733C211yesmaximal, characteristic, complemented
15C2×C13×#435C211yesmaximal, characteristic
16C22×C13×M16C2211yescharacteristic
17C23×C8×C13C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C2×D4×Dic13—21no—
20C2×#88180C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22C22×C4⋊Dic13C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C13×#435C418yescomplemented
25C2×C13×C4⋊C8C2211yescharacteristic
26C2×C13×C22⋊C8C2211yescharacteristic
27C2×C13×C22⋊C8C2211yescharacteristic
28C2×C13×#97C2211yescharacteristic
29#11718881—21no—
30#11718873C2211yescharacteristic
31#11718873C2211yescharacteristic
32#11718873C2211yescharacteristic
33#11718873C2211yescharacteristic
34#11718782—24no—
35C2×#88058C2211yescharacteristic
36C2×#88058C2211yescharacteristic
37C2×#88058C2211yescharacteristic
38C2×#88058C2211yescharacteristic
39C2×#88057—24no—
40C2×#88057C2211yescharacteristic
41C2×#88057C2211yescharacteristic
42C2×#88057C2211yescharacteristic
43C2×#88057C2211yescharacteristic
44C2×#88057C2211yescharacteristic
45C2×#88057C2211yescharacteristic
46#11718646—21no—
47#11718642—21no—
48#11718612—21no—
49#11718611—21no—
50#11718611—21no—
51C22⋊C4×Dic13—21no—
52#11718597C2211yescharacteristic
53#11718596C2211yescharacteristic
54C4×C4⋊Dic13C2211yescharacteristic
55C4×C4⋊Dic13C2211yescharacteristic
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718143C2211yescharacteristic
59#11718143C2211yescharacteristic
60#11718143C2211yescharacteristic
61#11718143C2211yescharacteristic
62C22×D4×C13D411yescharacteristic
63C23×C4×C13C2311yescharacteristic
64C23×C4×C13C2311yescharacteristic
65C23×Dic13—21no—
66C23×Dic13—21no—
67C23×Dic13—21no—
68C2×C13×M16—22no—
69C2×C13×M16—22no—
70C2×C13×M16C2×C414yescomplemented
71C22×C8×C13—22no—
72C22×C8×C13—22no—
73C22×C8×C13C2×C414yescomplemented
74C22×C8×C13C2311yescharacteristic
75C22×C8×C13C2311yescharacteristic
76C22×C8×C13C2311yescharacteristic
77C22×C8×C13C2311yescharacteristic
78C4×D4×C13C2×C414yes—
79C4×D4×C13Q814yes—
80C2×C13×C4⋊C4D411yescharacteristic
81C2×C13×C22⋊C4D411yescharacteristic
82C2×C13×C22⋊C4D411yescharacteristic
83C2×C42×C13C2311yescharacteristic
84C2×C22⋊Dic13—21no—
85C2×C22⋊Dic13—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89D4×Dic13—44no—
90#88180—22no—
91#88180—41no—
92C2×C4⋊Dic13—22no—
93C2×C4⋊Dic13—22no—
94C2×C4⋊Dic13—22no—
95C2×C4⋊Dic13—21no—
96C2×C4⋊Dic13—21no—
97C2×C4⋊Dic13—21no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13—41no—
101C2×C4⋊Dic13—41no—
102C2×C4⋊Dic13—41no—
103C2×C4⋊Dic13C2311yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4⋊Dic13C2311yescharacteristic
109C2×C4⋊Dic13C2311yescharacteristic
110C2×C4⋊Dic13C2311yescharacteristic
111C2×C4×Dic13—21no—
112C2×C4×Dic13—21no—
113C2×C4×Dic13—21no—
114C13×C4⋊C8C2×C414yescomplemented
115C13×C22⋊C8C2×C414yescomplemented
116C13×C22⋊C8C2×C414yescomplemented
117C13×#97C2×C414yescomplemented
118#88071—21no—
119#88071—21no—
120#88071—21no—
121#88071—21no—
122#88071—21no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88058—22no—
127#88058—22no—
128#88058—22no—
129#88058—41no—
130#88057—22no—
131#88057—22no—
132#88057—22no—
133#88057—22no—
134#88057—41no—
135#88057D414yescomplemented
136#22659—131nomaximal, Sylow
137C24×C13C2×D411yescharacteristic
138C24×C13C2×D411yescharacteristic
139C2×D4×C13—22no—
140C2×D4×C13—22no—
141C2×D4×C13C4⋊C414yes—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13C22×C412yes—
151C22×C4×C13C22×C412yes—
152C22×C4×C13C2×D411yescharacteristic
153C22×C4×C13C2×D411yescharacteristic
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×D411yescharacteristic
156C22×C4×C13C2×Q812yes—
157C22×C4×C13C2×Q812yes—
158C22×C4×C13C2411yescharacteristic
159C22×Dic13—21no—
160C22×Dic13—21no—
161C22×Dic13—21no—
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13—21no—
165C22×Dic13—21no—
166C22×Dic13—21no—
167C22×Dic13—42no—
168C22×Dic13—42no—
169C22×Dic13—42no—
170C22×Dic13—42no—
171C22×Dic13—42no—
172C22×Dic13—42no—
173C22×Dic13—81no—
174C22×Dic13—81no—
175C22×Dic13—81no—
176C13×M16—28no—
177C2×C8×C13—21no—
178C2×C8×C13—21no—
179C2×C8×C13—21no—
180C2×C8×C13—21no—
181C2×C8×C13—21no—
182C2×C8×C13—21no—
183C2×C8×C13—28no—
184C2×C8×C13C22×C412yes—
185C2×C8×C13C22×C412yes—
186C2×C8×C13C22×C412yes—
187C2×C8×C13C22×C412yes—
188C2×C8×C13C2×D412yes—
189C2×C8×C13#4112yes—
190C13×C4⋊C4C4⋊C414yes—
191C13×C22⋊C4C4⋊C414yes—
192C13×C22⋊C4C4⋊C414yes—
193C42×C13C22×C412yes—
194C42×C13C2×Q812yes—
195C22⋊Dic13—42no—
196C22⋊Dic13—42no—
197C22⋊Dic13—42no—
198C22⋊Dic13—42no—
199C22⋊Dic13—81no—
200C4⋊Dic13—21no—
201C4⋊Dic13—21no—
202C4⋊Dic13—21no—
203C4⋊Dic13—21no—
204C4⋊Dic13—21no—
205C4⋊Dic13—21no—
206C4⋊Dic13—21no—
207C4⋊Dic13—21no—
208C4⋊Dic13—21no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—42no—
215C4⋊Dic13—42no—
216C4⋊Dic13—42no—
217C4⋊Dic13—42no—
218C4⋊Dic13—81no—
219C4⋊Dic13C2×D412yes—
220C4⋊Dic13C2×D412yes—
221C4×Dic13—42no—
222C4×Dic13—42no—
223C4×Dic13—81no—
224C2×#435D1311yescharacteristic
225C2×#428—131no—
226C22×#106—131no—
227#2352—131no—
228D4×C4⋊C4—131no—
229#1949—131no—
230#1948—131no—
231#1854—131no—
232#1853—131no—
233#1853—131no—
234#1852—131no—
235#1847—131no—
236#1809—131no—
237#1808—131no—
238#1776—131no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—21no—
242C23×C13—21no—
243C23×C13—21no—
244C23×C13—21no—
245C23×C13—21no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13C2×C4⋊C412yes—
250C23×C13C2×C4⋊C412yes—
251C23×C13AGL(1,ℤ/8)12yes—
252C23×C13#13712yes—
253C23×C13C22×D411yescharacteristic
254D4×C13—28no—
255C2×C4×C13—21no—
256C2×C4×C13—21no—
257C2×C4×C13—21no—
258C2×C4×C13—21no—
259C2×C4×C13—21no—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—21no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13C2×C4⋊C412yes—
272C2×C4×C13C2×C4⋊C412yes—
273C2×C4×C13C2×C4⋊C412yes—
274C2×C4×C13C2×C4⋊C412yes—
275C2×C4×C13C23×C411yescharacteristic
276C2×C4×C13C22×D411yescharacteristic
277C2×C4×C13C22×Q811yescharacteristic
278C2×C4×C13C2×#4111yescharacteristic
279C2×C4×C13H(5,𝔽2)11yescharacteristic
280C2×C4×C132−1+411yescharacteristic
281C2×Dic13—22no—
282C2×Dic13—22no—
283C2×Dic13—41no—
284C2×Dic13—41no—
285C2×Dic13—41no—
286C2×Dic13—41no—
287C2×Dic13—41no—
288C2×Dic13—41no—
289C2×Dic13—41no—
290C2×Dic13—41no—
291C2×Dic13—41no—
292C2×Dic13—41no—
293C2×Dic13—41no—
294C2×Dic13—41no—
295C2×Dic13—41no—
296C2×Dic13—41no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13—41no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—84no—
306C2×Dic13—84no—
307C2×Dic13—84no—
308C8×C13—22no—
309C8×C13—22no—
310C8×C13—22no—
311C8×C13C4×D414yescomplemented
312C22×M16C2×D1311yescharacteristic
313C23×C8C2×D1311yescharacteristic
314C2×C4×D4—261no—
315C2×C4×D4C2×D1311yescharacteristic
316C2×#117—131no—
317C22×C4⋊C4—131no—
318C22×C4⋊C4—131no—
319C22×C4⋊C4—131no—
320#435Dic1318yescomplemented
321#428—264no—
322C2×#107—131no—
323C2×#107—131no—
324C2×#107—131no—
325C2×#107—131no—
326C2×#106—131no—
327C2×#106—131no—
328C2×#106—131no—
329C2×#106—131no—
330C2×#106—131no—
331C2×#106—131no—
332C2×#106—264no—
333C2×C4⋊C8C2×D1311yescharacteristic
334C2×C22⋊C8C2×D1311yescharacteristic
335C2×C22⋊C8C2×D1311yescharacteristic
336C2×#97C2×D1311yescharacteristic
337#389—261no—
338#388—261no—
339#387—261no—
340#386—261no—
341#385—261no—
342#385—261no—
343#384—131no—
344#382—131no—
345#380—131no—
346#380—131no—
347#380—131no—
348#380—131no—
349C4×C4⋊C4—131no—
350C4×C4⋊C4—131no—
351C4×C22⋊C4—261no—
352#340—131no—
353#340—131no—
354#340—131no—
355#340—131no—
356#340—131no—
357#340—131no—
358C22×C13—22no—
359C22×C13—22no—
360C22×C13—22no—
361C22×C13—22no—
362C22×C13—22no—
363C22×C13—22no—
364C22×C13—22no—
365C22×C13—22no—
366C22×C13—22no—
367C22×C13—41no—
368C22×C13—41no—
369C22×C13—41no—
370C22×C13—41no—
371C22×C13#42814yescomplemented
372C22×C13C22×C4⋊C411yescharacteristic
373C22×C13D4211yescharacteristic
374C22×C13#54711yescharacteristic
375C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
376C22×C13C2×#13711yescharacteristic
377C22×C13#57711yescharacteristic
378C22×C13#57711yescharacteristic
379C4×C13—22no—
380C4×C13—22no—
381C4×C13—22no—
382C4×C13—22no—
383C4×C13C2×C4×D411yescharacteristic
384C4×C13#52011yescharacteristic
385C4×C13D4×Q811yescharacteristic
386C4×C13#55411yescharacteristic
387Dic13—42no—
388Dic13—42no—
389Dic13—81no—
390Dic13—81no—
391Dic13—81no—
392Dic13—81no—
393Dic13—81no—
394Dic13—81no—
395C22×D4D5211yescharacteristic
396C23×C4—261no—
397C23×C4—261no—
398C23×C4—261no—
399C23×C4C22×D1311yescharacteristic
400C23×C4C22×D1311yescharacteristic
401C2×M16—22no—
402C2×M16—22no—
403C2×M16C2×Dic1314yescomplemented
404C22×C8—22no—
405C22×C8—22no—
406C22×C8C2×Dic1314yescomplemented
407C22×C8C22×D1311yescharacteristic
408C22×C8C22×D1311yescharacteristic
409C22×C8C22×D1311yescharacteristic
410C22×C8C22×D1311yescharacteristic
411C4×D4—524no—
412C4×D4Dic2614yes—
413C4×D4C2×Dic1314yes—
414#117—262no—
415#117—521no—
416C2×C4⋊C4—131no—
417C2×C4⋊C4—131no—
418C2×C4⋊C4—131no—
419C2×C4⋊C4—131no—
420C2×C4⋊C4—131no—
421C2×C4⋊C4—131no—
422C2×C4⋊C4—131no—
423C2×C4⋊C4—131no—
424C2×C4⋊C4—262no—
425C2×C4⋊C4—262no—
426C2×C4⋊C4—262no—
427C2×C4⋊C4—261no—
428C2×C4⋊C4—261no—
429C2×C4⋊C4—261no—
430C2×C4⋊C4—261no—
431C2×C4⋊C4—261no—
432C2×C4⋊C4—521no—
433C2×C4⋊C4—521no—
434C2×C4⋊C4—521no—
435C2×C4⋊C4D5211yescharacteristic
436C2×C22⋊C4—261no—
437C2×C22⋊C4—261no—
438C2×C22⋊C4—261no—
439C2×C22⋊C4—261no—
440C2×C22⋊C4—261no—
441C2×C22⋊C4D5211yescharacteristic
442C2×C22⋊C4D5211yescharacteristic
443C2×C42—261no—
444C2×C42—261no—
445C2×C42—261no—
446C2×C42C22×D1311yescharacteristic
447#107—262no—
448#107—262no—
449#107—262no—
450#107—521no—
451#106—134no—
452#106—262no—
453#106—262no—
454#106—262no—
455#106—262no—
456#106—521no—
457C4⋊C8C2×Dic1314yescomplemented
458C22⋊C8C2×Dic1314yescomplemented
459C22⋊C8C2×Dic1314yescomplemented
460#97C2×Dic1314yescomplemented
461#95—261no—
462#95—261no—
463#95—261no—
464#95—261no—
465#95—261no—
466#95—261no—
467#95—261no—
468#95—261no—
469C2×C13—24no—
470C2×C13—42no—
471C2×C13D4×C4⋊C411yescharacteristic
472C2×C13C2×#42811yescharacteristic
473C2×C13#291211yescharacteristic
474C2×C13#326511yescharacteristic
475C2×C13#326611yescharacteristic
476C2×C13#334411yescharacteristic
477C2×C13#334511yescharacteristic
478C24C2×D5211yescharacteristic
479C24C2×D5211yescharacteristic
480C2×D4—22no—
481C2×D4—22no—
482C2×D4C4⋊Dic1314yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—261no—
492C22×C4—261no—
493C22×C4—261no—
494C22×C4—261no—
495C22×C4—261no—
496C22×C4—261no—
497C22×C4—261no—
498C22×C4—261no—
499C22×C4—522no—
500C22×C4—522no—
501C22×C4—522no—
502C22×C4—522no—
503C22×C4—522no—
504C22×C4—522no—
505C22×C4—1041no—
506C22×C4—1041no—
507C22×C4—1041no—
508C22×C4C2×Dic2612yes—
509C22×C4C2×Dic2612yes—
510C22×C4C2×D5211yescharacteristic
511C22×C4C2×D5211yescharacteristic
512C22×C4C2×D5211yescharacteristic
513C22×C4C2×D5211yescharacteristic
514C22×C4C22×Dic1312yes—
515C22×C4C22×Dic1312yes—
516C22×C4C23×D1311yescharacteristic
517M16—28no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—28no—
525C2×C8D4×D1312yes—
526C2×C8#612912yes—
527C2×C8C22×Dic1312yes—
528C2×C8C22×Dic1312yes—
529C2×C8C22×Dic1312yes—
530C2×C8C22×Dic1312yes—
531C4⋊C4—132no—
532C4⋊C4—132no—
533C4⋊C4—261no—
534C4⋊C4—261no—
535C4⋊C4—261no—
536C4⋊C4—261no—
537C4⋊C4—261no—
538C4⋊C4—261no—
539C4⋊C4—261no—
540C4⋊C4—261no—
541C4⋊C4—261no—
542C4⋊C4—261no—
543C4⋊C4—261no—
544C4⋊C4—261no—
545C4⋊C4—261no—
546C4⋊C4—261no—
547C4⋊C4—522no—
548C4⋊C4—522no—
549C4⋊C4—522no—
550C4⋊C4—522no—
551C4⋊C4—1041no—
552C4⋊C4C4⋊Dic1314yes—
553C22⋊C4—522no—
554C22⋊C4—522no—
555C22⋊C4—522no—
556C22⋊C4—522no—
557C22⋊C4—1041no—
558C22⋊C4C4⋊Dic1314yes—
559C22⋊C4C4⋊Dic1314yes—
560C42—522no—
561C42—522no—
562C42—1041no—
563C42C2×Dic2612yes—
564C42C22×Dic1312yes—
565C13#2265911yescharacteristic, complemented, Sylow
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23#8816212yes—
577C23#8816312yes—
578C23C2×C4⋊Dic1312yes—
579C23C2×C4⋊Dic1312yes—
580C23C22×D5211yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—262no—
599C2×C4—262no—
600C2×C4—521no—
601C2×C4—521no—
602C2×C4—521no—
603C2×C4—521no—
604C2×C4—521no—
605C2×C4—521no—
606C2×C4—521no—
607C2×C4—521no—
608C2×C4—521no—
609C2×C4—521no—
610C2×C4—521no—
611C2×C4—521no—
612C2×C4—521no—
613C2×C4—521no—
614C2×C4—521no—
615C2×C4—521no—
616C2×C4—521no—
617C2×C4—521no—
618C2×C4—521no—
619C2×C4—521no—
620C2×C4—521no—
621C2×C4—521no—
622C2×C4—1044no—
623C2×C4—1044no—
624C2×C4—1044no—
625C2×C4C2×C4⋊Dic1312yes—
626C2×C4C2×C4⋊Dic1312yes—
627C2×C4C2×C4⋊Dic1312yes—
628C2×C4C2×C4⋊Dic1312yes—
629C2×C4C22×Dic2611yescharacteristic
630C2×C4C2×D4×D1311yescharacteristic
631C2×C4C2×#612911yescharacteristic
632C2×C4#8825611yescharacteristic
633C2×C4#8825711yescharacteristic
634C2×C4C23×Dic1311yescharacteristic
635C8—22no—
636C8—22no—
637C8—22no—
638C8D4×Dic1314yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1171878214yescomplemented
653C22D4×D5211yescharacteristic
654C22#1171926011yescharacteristic
655C22C2×#8816211yescharacteristic
656C22C2×#8816311yescharacteristic
657C22#1171945611yescharacteristic
658C22#1171945611yescharacteristic
659C22C22×C4⋊Dic1311yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—522no—
665C4—522no—
666C4—1041no—
667C4—1041no—
668C4—1041no—
669C4—1041no—
670C4—1041no—
671C4—1041no—
672C4D4×Dic2611yescharacteristic
673C4#1171924811yescharacteristic
674C4C2×D4×Dic1311yescharacteristic
675C4#1171953211yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×C4⋊Dic1311yescharacteristic
679C2C2×#1171878211yescharacteristic
680C2#1312343111yescharacteristic
681C2#1312633611yescharacteristic
682C2#1312635111yescharacteristic
683C2#1312729311yescharacteristic
684C2#1312730811yescharacteristic
subgroupG/H
centerC23C22×D52
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#435C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
cosocleC22×C4×C13C24
hypercenterC2×#435D13
hypocenterC13#22659
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#11718782C2semidirect
2. C22×#88057C2semidirect
5. #13115606C2semidirect
6. #13115600C2semidirect
7. #13115037C2semidirect
8. #13115031C2semidirect
9. #13115031C2semidirect
10. #13115026C2semidirect
11. #13115004C2semidirect
12. #13114869C2semidirect
13. #13114865C2semidirect
14. #13114733C2semidirect
24. C13×#435C4semidirect
70. C2×C13×M16C2×C4semidirect
73. C22×C8×C13C2×C4semidirect
114. C13×C4⋊C8C2×C4semidirect
115. C13×C22⋊C8C2×C4semidirect
116. C13×C22⋊C8C2×C4semidirect
117. C13×#97C2×C4semidirect
135. #88057D4semidirect
311. C8×C13C4×D4semidirect
320. #435Dic13semidirect
371. C22×C13#428semidirect
403. C2×M16C2×Dic13semidirect
406. C22×C8C2×Dic13semidirect
457. C4⋊C8C2×Dic13semidirect
458. C22⋊C8C2×Dic13semidirect
459. C22⋊C8C2×Dic13semidirect
460. #97C2×Dic13semidirect
565. C13#22659semidirect
638. C8D4×Dic13semidirect
652. C22#11718782semidirect

Maximal subgroups

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

subgroupindex
C2×#117187822
C22×#880572
#131177652
D4×C4⋊Dic132
#131156062
#131156002
#131150372
#131150312
#131150262
#131150042
#131148692
#131148652
#131147332
C2×C13×#4352
#2265913