Finite Group Databasebeta

← #15881067

Subgroups — #15881067

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×#11718672C211yesmaximal, characteristic
2C2×#11718625C211yesmaximal, characteristic, complemented
3C22×#88048C211yesmaximal, characteristic, complemented
4#13117765C211yesmaximal, characteristic
5#13115604C211yesmaximal, characteristic, complemented
6#13115597C211yesmaximal, characteristic, complemented
7#13115033C211yesmaximal, characteristic, complemented
8#13115029C211yesmaximal, characteristic, complemented
9#13115028C211yesmaximal, characteristic, complemented
10#13115024C211yesmaximal, characteristic, complemented
11#13115002C211yesmaximal, characteristic, complemented
12#13114867C211yesmaximal, characteristic, complemented
13#13114863C211yesmaximal, characteristic, complemented
14#13114734C211yesmaximal, characteristic, complemented
15D4×C13×C4⋊C4C211yesmaximal, characteristic
16C2×C4×D4×C13—21no—
17C2×C4×D4×C13C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C2×#88180C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22C22×#6099C2211yescharacteristic
23C23×#1055C2211yescharacteristic
24C13×#389—21no—
25C13×#385—21no—
26C13×#385—21no—
27C13×#384C2211yescharacteristic
28C13×#380C2211yescharacteristic
29C13×#380C2211yescharacteristic
30C4×C13×C4⋊C4C2211yescharacteristic
31#11718881—21no—
32#11718873C2211yescharacteristic
33#11718873C2211yescharacteristic
34C2×C22⋊#1055C2211yescharacteristic
35C2×C22⋊#1055C2211yescharacteristic
36#11718672C418yescomplemented
37#11718642—21no—
38#11718625—24no—
39C2×#88048—24no—
40C2×#88048C2211yescharacteristic
41C2×#88048C2211yescharacteristic
42C2×#88048C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88048C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47C2×#88047C2211yescharacteristic
48C2×#88047C2211yescharacteristic
49C2×#88047C2211yescharacteristic
50#11718612—21no—
51C22⋊C4×Dic13—21no—
52#11718597C2211yescharacteristic
53C4×C4⋊Dic13C2211yescharacteristic
54C2×C4⋊#1055C2211yescharacteristic
55C2×#88043C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×D4×C13D411yescharacteristic
63C23×C4×C13—21no—
64C23×C4×C13—21no—
65C23×C4×C13C2311yescharacteristic
66C23×C4×C13C2311yescharacteristic
67C23×Dic13—21no—
68C4×D4×C13—44no—
69C4×D4×C13C2×C414yes—
70C4×D4×C13Q814yes—
71C2×C13×C4⋊C4—22no—
72C2×C13×C4⋊C4—22no—
73C2×C13×C4⋊C4—21no—
74C2×C13×C4⋊C4—21no—
75C2×C13×C4⋊C4—21no—
76C2×C13×C4⋊C4—21no—
77C2×C13×C4⋊C4—41no—
78C2×C13×C4⋊C4—41no—
79C2×C13×C4⋊C4D411yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C4⋊C4C2311yescharacteristic
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4—21no—
86C2×C13×C22⋊C4D411yescharacteristic
87C2×C13×C22⋊C4D411yescharacteristic
88C2×C42×C13—21no—
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13—21no—
92C2×C22⋊Dic13—21no—
93#88180—22no—
94#88180—41no—
95C2×C4⋊Dic13—22no—
96C2×C4⋊Dic13—21no—
97C2×C4⋊Dic13—41no—
98C2×C4⋊Dic13C2311yescharacteristic
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4×Dic13—21no—
103C2×C4×Dic13—21no—
104C2×#6099—22no—
105C2×#6099—22no—
106C2×#6099C2×C414yescomplemented
107C22×#1055—22no—
108C22×#1055—22no—
109C22×#1055C2×C414yescomplemented
110C22×#1055C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C13×#95—21no—
115C13×#95—21no—
116C13×#95—21no—
117#88071—21no—
118#88071—21no—
119#88071—21no—
120#88071—21no—
121#88071—21no—
122C22⋊#1055C2×C414yescomplemented
123C22⋊#1055C2×C414yescomplemented
124#88048—22no—
125#88048—22no—
126#88048—22no—
127#88048—22no—
128#88048—41no—
129#88048D414yescomplemented
130#88047—22no—
131#88047—22no—
132#88047—22no—
133#88047—41no—
134C4⋊#1055C2×C414yescomplemented
135#88043C2×C414yescomplemented
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×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—42no—
155C22×C4×C13—42no—
156C22×C4×C13—42no—
157C22×C4×C13—42no—
158C22×C4×C13—81no—
159C22×C4×C13—81no—
160C22×C4×C13C22×C412yes—
161C22×C4×C13C22×C412yes—
162C22×C4×C13C2×D411yescharacteristic
163C22×C4×C13C2×D411yescharacteristic
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13C2×D411yescharacteristic
166C22×C4×C13C2×Q812yes—
167C22×C4×C13C2×Q812yes—
168C22×C4×C13C2411yescharacteristic
169C22×Dic13—21no—
170C22×Dic13—21no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—42no—
174C22×Dic13—42no—
175C22×Dic13—81no—
176C13×C4⋊C4—21no—
177C13×C4⋊C4—21no—
178C13×C4⋊C4—21no—
179C13×C4⋊C4—21no—
180C13×C4⋊C4—21no—
181C13×C4⋊C4—21no—
182C13×C4⋊C4—21no—
183C13×C4⋊C4—42no—
184C13×C4⋊C4—42no—
185C13×C4⋊C4—42no—
186C13×C4⋊C4—81no—
187C13×C4⋊C4C4⋊C414yes—
188C13×C4⋊C4C2×D412yes—
189C13×C22⋊C4—42no—
190C13×C22⋊C4—42no—
191C13×C22⋊C4C4⋊C414yes—
192C13×C22⋊C4C4⋊C414yes—
193C42×C13—42no—
194C42×C13C22×C412yes—
195C42×C13C2×Q812yes—
196C22⋊Dic13—42no—
197C22⋊Dic13—42no—
198C22⋊Dic13—81no—
199C4⋊Dic13—21no—
200C4⋊Dic13—21no—
201C4⋊Dic13—21no—
202C4⋊Dic13—21no—
203C4⋊Dic13—21no—
204C4⋊Dic13—21no—
205C4⋊Dic13—21no—
206C4⋊Dic13—42no—
207C4⋊Dic13C2×D412yes—
208C4×Dic13—42no—
209C4×Dic13—81no—
210#6099—28no—
211C2×#1055—21no—
212C2×#1055—21no—
213C2×#1055—21no—
214C2×#1055—21no—
215C2×#1055—21no—
216C2×#1055—21no—
217C2×#1055—28no—
218C2×#1055C22×C412yes—
219C2×#1055C22×C412yes—
220C2×#1055C22×C412yes—
221C2×#1055C22×C412yes—
222C2×#1055C2×D412yes—
223C2×#1055#4112yes—
224C2×#435—131no—
225C2×#428—131no—
226C22×#106—131no—
227#2352—131no—
228D4×C4⋊C4D1311yescharacteristic
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×C13—22no—
272C2×C4×C13—41no—
273C2×C4×C13—41no—
274C2×C4×C13—41no—
275C2×C4×C13—41no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—41no—
280C2×C4×C13—41no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—84no—
284C2×C4×C13—84no—
285C2×C4×C13C2×C4⋊C412yes—
286C2×C4×C13C2×C4⋊C412yes—
287C2×C4×C13C2×C4⋊C412yes—
288C2×C4×C13C2×C4⋊C412yes—
289C2×C4×C13C23×C411yescharacteristic
290C2×C4×C13C22×D411yescharacteristic
291C2×C4×C13C22×Q811yescharacteristic
292C2×C4×C13C2×#4111yescharacteristic
293C2×C4×C13H(5,𝔽2)11yescharacteristic
294C2×C4×C132−1+411yescharacteristic
295C2×Dic13—22no—
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—41no—
306C2×Dic13—41no—
307C2×Dic13—84no—
308#1055—22no—
309#1055—22no—
310#1055—22no—
311#1055C4×D414yescomplemented
312C22×M16—131no—
313C23×C8—131no—
314C2×C4×D4—21no—
315C2×C4×D4C2×D1311yescharacteristic
316C2×#117—131no—
317C22×C4⋊C4—131no—
318C22×C4⋊C4C2×D1311yescharacteristic
319C22×C4⋊C4C2×D1311yescharacteristic
320#435—138no—
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⋊C8—131no—
334C2×C22⋊C8—131no—
335C2×C22⋊C8—131no—
336C2×#97—131no—
337#389—21no—
338#388—261no—
339#387—261no—
340#386—261no—
341#385—21no—
342#385—21no—
343#384C2×D1311yescharacteristic
344#382—131no—
345#380—131no—
346#380—131no—
347#380C2×D1311yescharacteristic
348#380C2×D1311yescharacteristic
349C4×C4⋊C4—131no—
350C4×C4⋊C4C2×D1311yescharacteristic
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×C13—42no—
384C4×C13—81no—
385C4×C13—81no—
386C4×C13—81no—
387C4×C13C2×C4×D411yescharacteristic
388C4×C13#52011yescharacteristic
389C4×C13D4×Q811yescharacteristic
390C4×C13#55411yescharacteristic
391Dic13—42no—
392Dic13—81no—
393Dic13—81no—
394Dic13—81no—
395C22×D4C22⋊D1311yescharacteristic
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—261no—
399C23×C4C22×D1311yescharacteristic
400C23×C4C22×D1311yescharacteristic
401C2×M16—134no—
402C2×M16—262no—
403C2×M16—262no—
404C22×C8—131no—
405C22×C8—134no—
406C22×C8—131no—
407C22×C8—131no—
408C22×C8—131no—
409C22×C8—262no—
410C22×C8—262no—
411C4×D4—44no—
412C4×D4Dic2614yes—
413C4×D4C4×D1314yes—
414#117—262no—
415#117—521no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4—131no—
425C2×C4⋊C4—131no—
426C2×C4⋊C4—131no—
427C2×C4⋊C4—131no—
428C2×C4⋊C4—262no—
429C2×C4⋊C4—261no—
430C2×C4⋊C4—521no—
431C2×C4⋊C4C22⋊D1311yescharacteristic
432C2×C4⋊C4C22×D1311yescharacteristic
433C2×C4⋊C4C22×D1311yescharacteristic
434C2×C4⋊C4C22×D1311yescharacteristic
435C2×C4⋊C4C22×D1311yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—261no—
439C2×C22⋊C4—261no—
440C2×C22⋊C4—261no—
441C2×C22⋊C4C22⋊D1311yescharacteristic
442C2×C22⋊C4C22⋊D1311yescharacteristic
443C2×C42—21no—
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⋊C8—134no—
458C22⋊C8—134no—
459C22⋊C8—134no—
460#97—134no—
461#95—21no—
462#95—21no—
463#95—21no—
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×C22⋊D1311yescharacteristic
479C24C2×C22⋊D1311yescharacteristic
480C2×D4—22no—
481C2×D4—22no—
482C2×D4#610114yes—
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—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—261no—
502C22×C4—261no—
503C22×C4—261no—
504C22×C4—261no—
505C22×C4—522no—
506C22×C4—522no—
507C22×C4—1041no—
508C22×C4C2×Dic2612yes—
509C22×C4C2×Dic2612yes—
510C22×C4C2×C4×D1312yes—
511C22×C4C2×C4×D1312yes—
512C22×C4C2×C22⋊D1311yescharacteristic
513C22×C4C2×C22⋊D1311yescharacteristic
514C22×C4C2×C22⋊D1311yescharacteristic
515C22×C4C2×C22⋊D1311yescharacteristic
516C22×C4C23×D1311yescharacteristic
517M16—268no—
518C2×C8—132no—
519C2×C8—132no—
520C2×C8—132no—
521C2×C8—132no—
522C2×C8—132no—
523C2×C8—132no—
524C2×C8—268no—
525C2×C8—261no—
526C2×C8—261no—
527C2×C8—261no—
528C2×C8—261no—
529C2×C8—261no—
530C2×C8—261no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4—132no—
543C4⋊C4—261no—
544C4⋊C4—261no—
545C4⋊C4—261no—
546C4⋊C4—261no—
547C4⋊C4—261no—
548C4⋊C4—261no—
549C4⋊C4—261no—
550C4⋊C4—522no—
551C4⋊C4#610114yes—
552C4⋊C4D4×D1312yes—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—522no—
556C22⋊C4—522no—
557C22⋊C4—1041no—
558C22⋊C4#610114yes—
559C22⋊C4#610114yes—
560C42—42no—
561C42—522no—
562C42—1041no—
563C42C2×Dic2612yes—
564C42C2×C4×D1312yes—
565C13#2265911yescharacteristic, complemented, Sylow
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23C2×#610112yes—
577C23C2×#610112yes—
578C23#8818612yes—
579C23#8819612yes—
580C23C22×C22⋊D1311yescharacteristic
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—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4—262no—
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—521no—
623C2×C4—521no—
624C2×C4—1044no—
625C2×C4C2×#610112yes—
626C2×C4C2×#610112yes—
627C2×C4C2×#610112yes—
628C2×C4C2×#610112yes—
629C2×C4C22×Dic2611yescharacteristic
630C2×C4C22×C4×D1311yescharacteristic
631C2×C4C2×D4×D1311yescharacteristic
632C2×C4#8825111yescharacteristic
633C2×C4#41×D1311yescharacteristic
634C2×C4#8825711yescharacteristic
635C8—134no—
636C8—262no—
637C8—262no—
638C8—262no—
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#1171862514yescomplemented
653C22C22×#610111yescharacteristic
654C22C2×#8818611yescharacteristic
655C22D4×C22⋊D1311yescharacteristic
656C22C2×#8819611yescharacteristic
657C22#1171952911yescharacteristic
658C22#1171954111yescharacteristic
659C22#1171954211yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—522no—
669C4—1041no—
670C4—1041no—
671C4—1041no—
672C4D4×Dic2611yescharacteristic
673C4#1171924411yescharacteristic
674C4C4×D4×D1311yescharacteristic
675C4#1171925111yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×#610111yescharacteristic
679C2C2×#1171862511yescharacteristic
680C2#1312342911yescharacteristic
681C2#1312632711yescharacteristic
682C2#1312634711yescharacteristic
683C2#1312728511yescharacteristic
684C2#1312730611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingD4×C13×C4⋊C4C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
cosocleC22×C4×C13C24
hypercenterD4×C4⋊C4D13
hypocenterC13#22659
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#11718625C2semidirect
3. C22×#88048C2semidirect
5. #13115604C2semidirect
6. #13115597C2semidirect
7. #13115033C2semidirect
8. #13115029C2semidirect
9. #13115028C2semidirect
10. #13115024C2semidirect
11. #13115002C2semidirect
12. #13114867C2semidirect
13. #13114863C2semidirect
14. #13114734C2semidirect
36. #11718672C4semidirect
106. C2×#6099C2×C4semidirect
109. C22×#1055C2×C4semidirect
122. C22⋊#1055C2×C4semidirect
123. C22⋊#1055C2×C4semidirect
129. #88048D4semidirect
134. C4⋊#1055C2×C4semidirect
135. #88043C2×C4semidirect
311. #1055C4×D4semidirect
371. C22×C13#428semidirect
565. C13#22659semidirect
652. C22#11718625semidirect

Maximal subgroups

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

subgroupindex
C2×#117186722
C2×#117186252
C22×#880482
#131177652
#131156042
#131155972
#131150332
#131150292
#131150282
#131150242
#131150022
#131148672
#131148632
#131147342
D4×C13×C4⋊C42
#2265913