Finite Group Databasebeta

← #12117448

Subgroups — #12117448

Order 1280.

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
1C5×D4×C4⋊C4C211yesmaximal, characteristic
2#10614066C211yesmaximal, characteristic
3C2×#65300C211yesmaximal, characteristic
4C2×#65253C211yesmaximal, characteristic, complemented
5C22×#3940C211yesmaximal, characteristic, complemented
6#10602349C211yesmaximal, characteristic, complemented
7#10602348C211yesmaximal, characteristic, complemented
8#10600371C211yesmaximal, characteristic, complemented
9#10600361C211yesmaximal, characteristic, complemented
10#10600306C211yesmaximal, characteristic, complemented
11#10600305C211yesmaximal, characteristic, complemented
12#10600299C211yesmaximal, characteristic, complemented
13#10600298C211yesmaximal, characteristic, complemented
14#10600274C211yesmaximal, characteristic, complemented
15#10600261C211yesmaximal, characteristic, complemented
16C2×C4×C5×D4—21no—
17C2×C4×C5×D4C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C2×#4072C2211yescharacteristic
21C22×C4⋊Dic5C2211yescharacteristic
22C22×#681C2211yescharacteristic
23C23×#168C2211yescharacteristic
24C5×#389—21no—
25C5×#385—21no—
26C5×#385—21no—
27C5×#384C2211yescharacteristic
28C5×#380C2211yescharacteristic
29C5×#380C2211yescharacteristic
30C4×C5×C4⋊C4C2211yescharacteristic
31#65509—21no—
32#65501C2211yescharacteristic
33#65501C2211yescharacteristic
34C2×C22⋊#168C2211yescharacteristic
35C2×C22⋊#168C2211yescharacteristic
36#65300C418yescomplemented
37#65270—21no—
38#65253—24no—
39C2×#3940—24no—
40C2×#3940C2211yescharacteristic
41C2×#3940C2211yescharacteristic
42C2×#3940C2211yescharacteristic
43C2×#3940C2211yescharacteristic
44C2×#3940C2211yescharacteristic
45C2×#3940C2211yescharacteristic
46C2×#3939C2211yescharacteristic
47C2×#3939C2211yescharacteristic
48C2×#3939C2211yescharacteristic
49C2×#3939C2211yescharacteristic
50#65240—21no—
51C22⋊C4×Dic5—21no—
52#65225C2211yescharacteristic
53C4×C4⋊Dic5C2211yescharacteristic
54C2×C4⋊#168C2211yescharacteristic
55C2×#3935C2211yescharacteristic
56#64749C2211yescharacteristic
57#64749C2211yescharacteristic
58#64749C2211yescharacteristic
59#64749C2211yescharacteristic
60#64749C2211yescharacteristic
61#64749C2211yescharacteristic
62#22659—51nomaximal, Sylow
63C22×C5×D4D411yescharacteristic
64C23×C4×C5—21no—
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C23×C4×C5C2311yescharacteristic
68C23×Dic5—21no—
69C4×C5×D4—44no—
70C4×C5×D4C2×C414yes—
71C4×C5×D4Q814yes—
72C2×C5×C4⋊C4—22no—
73C2×C5×C4⋊C4—22no—
74C2×C5×C4⋊C4—21no—
75C2×C5×C4⋊C4—21no—
76C2×C5×C4⋊C4—21no—
77C2×C5×C4⋊C4—21no—
78C2×C5×C4⋊C4—41no—
79C2×C5×C4⋊C4—41no—
80C2×C5×C4⋊C4D411yescharacteristic
81C2×C5×C4⋊C4C2311yescharacteristic
82C2×C5×C4⋊C4C2311yescharacteristic
83C2×C5×C4⋊C4C2311yescharacteristic
84C2×C5×C4⋊C4C2311yescharacteristic
85C2×C5×C22⋊C4—21no—
86C2×C5×C22⋊C4—21no—
87C2×C5×C22⋊C4D411yescharacteristic
88C2×C5×C22⋊C4D411yescharacteristic
89C2×C42×C5—21no—
90C2×C42×C5C2311yescharacteristic
91C2×C22⋊Dic5—21no—
92C2×C22⋊Dic5—21no—
93C2×C22⋊Dic5—21no—
94#4072—22no—
95#4072—41no—
96C2×C4⋊Dic5—22no—
97C2×C4⋊Dic5—21no—
98C2×C4⋊Dic5—41no—
99C2×C4⋊Dic5C2311yescharacteristic
100C2×C4⋊Dic5C2311yescharacteristic
101C2×C4⋊Dic5C2311yescharacteristic
102C2×C4⋊Dic5C2311yescharacteristic
103C2×C4×Dic5—21no—
104C2×C4×Dic5—21no—
105C2×#681—22no—
106C2×#681—22no—
107C2×#681C2×C414yescomplemented
108C22×#168—22no—
109C22×#168—22no—
110C22×#168C2×C414yescomplemented
111C22×#168C2311yescharacteristic
112C22×#168C2311yescharacteristic
113C22×#168C2311yescharacteristic
114C22×#168C2311yescharacteristic
115C5×#95—21no—
116C5×#95—21no—
117C5×#95—21no—
118#3963—21no—
119#3963—21no—
120#3963—21no—
121#3963—21no—
122#3963—21no—
123C22⋊#168C2×C414yescomplemented
124C22⋊#168C2×C414yescomplemented
125#3940—22no—
126#3940—22no—
127#3940—22no—
128#3940—22no—
129#3940—41no—
130#3940D414yescomplemented
131#3939—22no—
132#3939—22no—
133#3939—22no—
134#3939—41no—
135C4⋊#168C2×C414yescomplemented
136#3935C2×C414yescomplemented
137C2×#435—51no—
138C2×#428—51no—
139C22×#106—51no—
140#2352—51no—
141D4×C4⋊C4D511yescharacteristic
142#1949—51no—
143#1948—51no—
144#1854—51no—
145#1853—51no—
146#1853—51no—
147#1852—51no—
148#1847—51no—
149#1809—51no—
150#1808—51no—
151#1776—51no—
152C24×C5C2×D411yescharacteristic
153C24×C5C2×D411yescharacteristic
154C2×C5×D4—22no—
155C2×C5×D4—22no—
156C2×C5×D4C4⋊C414yes—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
169C22×C4×C5—42no—
170C22×C4×C5—42no—
171C22×C4×C5—42no—
172C22×C4×C5—42no—
173C22×C4×C5—81no—
174C22×C4×C5—81no—
175C22×C4×C5C22×C412yes—
176C22×C4×C5C22×C412yes—
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×Q812yes—
182C22×C4×C5C2×Q812yes—
183C22×C4×C5C2411yescharacteristic
184C22×Dic5—21no—
185C22×Dic5—21no—
186C22×Dic5—21no—
187C22×Dic5—21no—
188C22×Dic5—42no—
189C22×Dic5—42no—
190C22×Dic5—81no—
191C5×C4⋊C4—21no—
192C5×C4⋊C4—21no—
193C5×C4⋊C4—21no—
194C5×C4⋊C4—21no—
195C5×C4⋊C4—21no—
196C5×C4⋊C4—21no—
197C5×C4⋊C4—21no—
198C5×C4⋊C4—42no—
199C5×C4⋊C4—42no—
200C5×C4⋊C4—42no—
201C5×C4⋊C4—81no—
202C5×C4⋊C4C4⋊C414yes—
203C5×C4⋊C4C2×D412yes—
204C5×C22⋊C4—42no—
205C5×C22⋊C4—42no—
206C5×C22⋊C4C4⋊C414yes—
207C5×C22⋊C4C4⋊C414yes—
208C42×C5—42no—
209C42×C5C22×C412yes—
210C42×C5C2×Q812yes—
211C22⋊Dic5—42no—
212C22⋊Dic5—42no—
213C22⋊Dic5—81no—
214C4⋊Dic5—21no—
215C4⋊Dic5—21no—
216C4⋊Dic5—21no—
217C4⋊Dic5—21no—
218C4⋊Dic5—21no—
219C4⋊Dic5—21no—
220C4⋊Dic5—21no—
221C4⋊Dic5—42no—
222C4⋊Dic5C2×D412yes—
223C4×Dic5—42no—
224C4×Dic5—81no—
225#681—28no—
226C2×#168—21no—
227C2×#168—21no—
228C2×#168—21no—
229C2×#168—21no—
230C2×#168—21no—
231C2×#168—21no—
232C2×#168—28no—
233C2×#168C22×C412yes—
234C2×#168C22×C412yes—
235C2×#168C22×C412yes—
236C2×#168C22×C412yes—
237C2×#168C2×D412yes—
238C2×#168#4112yes—
239C22×M16—51no—
240C23×C8—51no—
241C2×C4×D4—21no—
242C2×C4×D4C2×D511yescharacteristic
243C2×#117—51no—
244C22×C4⋊C4—51no—
245C22×C4⋊C4C2×D511yescharacteristic
246C22×C4⋊C4C2×D511yescharacteristic
247#435—58no—
248#428—104no—
249C2×#107—51no—
250C2×#107—51no—
251C2×#107—51no—
252C2×#107—51no—
253C2×#106—51no—
254C2×#106—51no—
255C2×#106—51no—
256C2×#106—51no—
257C2×#106—51no—
258C2×#106—51no—
259C2×#106—104no—
260C2×C4⋊C8—51no—
261C2×C22⋊C8—51no—
262C2×C22⋊C8—51no—
263C2×#97—51no—
264#389—21no—
265#388—101no—
266#387—101no—
267#386—101no—
268#385—21no—
269#385—21no—
270#384C2×D511yescharacteristic
271#382—51no—
272#380—51no—
273#380—51no—
274#380C2×D511yescharacteristic
275#380C2×D511yescharacteristic
276C4×C4⋊C4—51no—
277C4×C4⋊C4C2×D511yescharacteristic
278C4×C22⋊C4—101no—
279#340—51no—
280#340—51no—
281#340—51no—
282#340—51no—
283#340—51no—
284#340—51no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5—21no—
289C23×C5—21no—
290C23×C5—21no—
291C23×C5—21no—
292C23×C5—21no—
293C23×C5—21no—
294C23×C5—21no—
295C23×C5C2×C4⋊C412yes—
296C23×C5C2×C4⋊C412yes—
297C23×C5AGL(1,ℤ/8)12yes—
298C23×C5#13712yes—
299C23×C5C22×D411yescharacteristic
300C5×D4—28no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5—22no—
317C2×C4×C5—22no—
318C2×C4×C5—41no—
319C2×C4×C5—41no—
320C2×C4×C5—41no—
321C2×C4×C5—41no—
322C2×C4×C5—41no—
323C2×C4×C5—41no—
324C2×C4×C5—41no—
325C2×C4×C5—41no—
326C2×C4×C5—41no—
327C2×C4×C5—41no—
328C2×C4×C5—41no—
329C2×C4×C5—84no—
330C2×C4×C5—84no—
331C2×C4×C5C2×C4⋊C412yes—
332C2×C4×C5C2×C4⋊C412yes—
333C2×C4×C5C2×C4⋊C412yes—
334C2×C4×C5C2×C4⋊C412yes—
335C2×C4×C5C23×C411yescharacteristic
336C2×C4×C5C22×D411yescharacteristic
337C2×C4×C5C22×Q811yescharacteristic
338C2×C4×C5C2×#4111yescharacteristic
339C2×C4×C5H(5,𝔽2)11yescharacteristic
340C2×C4×C52−1+411yescharacteristic
341C2×Dic5—22no—
342C2×Dic5—41no—
343C2×Dic5—41no—
344C2×Dic5—41no—
345C2×Dic5—41no—
346C2×Dic5—41no—
347C2×Dic5—41no—
348C2×Dic5—41no—
349C2×Dic5—41no—
350C2×Dic5—41no—
351C2×Dic5—41no—
352C2×Dic5—41no—
353C2×Dic5—84no—
354#168—22no—
355#168—22no—
356#168—22no—
357#168C4×D414yescomplemented
358C22×D4C22⋊D511yescharacteristic
359C23×C4—21no—
360C23×C4—21no—
361C23×C4—101no—
362C23×C4C22×D511yescharacteristic
363C23×C4C22×D511yescharacteristic
364C2×M16—54no—
365C2×M16—102no—
366C2×M16—102no—
367C22×C8—51no—
368C22×C8—54no—
369C22×C8—51no—
370C22×C8—51no—
371C22×C8—51no—
372C22×C8—102no—
373C22×C8—102no—
374C4×D4—44no—
375C4×D4Dic1014yes—
376C4×D4C4×D514yes—
377#117—102no—
378#117—201no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—41no—
386C2×C4⋊C4—41no—
387C2×C4⋊C4—51no—
388C2×C4⋊C4—51no—
389C2×C4⋊C4—51no—
390C2×C4⋊C4—51no—
391C2×C4⋊C4—102no—
392C2×C4⋊C4—101no—
393C2×C4⋊C4—201no—
394C2×C4⋊C4C22⋊D511yescharacteristic
395C2×C4⋊C4C22×D511yescharacteristic
396C2×C4⋊C4C22×D511yescharacteristic
397C2×C4⋊C4C22×D511yescharacteristic
398C2×C4⋊C4C22×D511yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—101no—
402C2×C22⋊C4—101no—
403C2×C22⋊C4—101no—
404C2×C22⋊C4C22⋊D511yescharacteristic
405C2×C22⋊C4C22⋊D511yescharacteristic
406C2×C42—21no—
407C2×C42—101no—
408C2×C42—101no—
409C2×C42C22×D511yescharacteristic
410#107—102no—
411#107—102no—
412#107—102no—
413#107—201no—
414#106—54no—
415#106—102no—
416#106—102no—
417#106—102no—
418#106—102no—
419#106—201no—
420C4⋊C8—54no—
421C22⋊C8—54no—
422C22⋊C8—54no—
423#97—54no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—101no—
428#95—101no—
429#95—101no—
430#95—101no—
431#95—101no—
432C22×C5—22no—
433C22×C5—22no—
434C22×C5—22no—
435C22×C5—22no—
436C22×C5—22no—
437C22×C5—22no—
438C22×C5—22no—
439C22×C5—22no—
440C22×C5—22no—
441C22×C5—41no—
442C22×C5—41no—
443C22×C5—41no—
444C22×C5—41no—
445C22×C5#42814yescomplemented
446C22×C5C22×C4⋊C411yescharacteristic
447C22×C5D4211yescharacteristic
448C22×C5#54711yescharacteristic
449C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
450C22×C5C2×#13711yescharacteristic
451C22×C5#57711yescharacteristic
452C22×C5#57711yescharacteristic
453C4×C5—22no—
454C4×C5—22no—
455C4×C5—22no—
456C4×C5—22no—
457C4×C5—42no—
458C4×C5—81no—
459C4×C5—81no—
460C4×C5—81no—
461C4×C5C2×C4×D411yescharacteristic
462C4×C5#52011yescharacteristic
463C4×C5D4×Q811yescharacteristic
464C4×C5#55411yescharacteristic
465Dic5—42no—
466Dic5—81no—
467Dic5—81no—
468Dic5—81no—
469C24C2×C22⋊D511yescharacteristic
470C24C2×C22⋊D511yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4#68314yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4—101no—
493C22×C4—101no—
494C22×C4—101no—
495C22×C4—101no—
496C22×C4—202no—
497C22×C4—202no—
498C22×C4—401no—
499C22×C4C2×Dic1012yes—
500C22×C4C2×Dic1012yes—
501C22×C4C2×C4×D512yes—
502C22×C4C2×C4×D512yes—
503C22×C4C2×C22⋊D511yescharacteristic
504C22×C4C2×C22⋊D511yescharacteristic
505C22×C4C2×C22⋊D511yescharacteristic
506C22×C4C2×C22⋊D511yescharacteristic
507C22×C4C23×D511yescharacteristic
508M16—108no—
509C2×C8—52no—
510C2×C8—52no—
511C2×C8—52no—
512C2×C8—52no—
513C2×C8—52no—
514C2×C8—52no—
515C2×C8—108no—
516C2×C8—101no—
517C2×C8—101no—
518C2×C8—101no—
519C2×C8—101no—
520C2×C8—101no—
521C2×C8—101no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—52no—
533C4⋊C4—81no—
534C4⋊C4—101no—
535C4⋊C4—101no—
536C4⋊C4—101no—
537C4⋊C4—101no—
538C4⋊C4—101no—
539C4⋊C4—101no—
540C4⋊C4—101no—
541C4⋊C4—202no—
542C4⋊C4#68314yes—
543C4⋊C4D4×D512yes—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—202no—
547C22⋊C4—202no—
548C22⋊C4—401no—
549C22⋊C4#68314yes—
550C22⋊C4#68314yes—
551C42—42no—
552C42—202no—
553C42—401no—
554C42C2×Dic1012yes—
555C42C2×C4×D512yes—
556C2×C5—24no—
557C2×C5—42no—
558C2×C5D4×C4⋊C411yescharacteristic
559C2×C5C2×#42811yescharacteristic
560C2×C5#291211yescharacteristic
561C2×C5#326511yescharacteristic
562C2×C5#326611yescharacteristic
563C2×C5#334411yescharacteristic
564C2×C5#334511yescharacteristic
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23C2×#68312yes—
576C23C2×#68312yes—
577C23#407812yes—
578C23#408812yes—
579C23C22×C22⋊D511yescharacteristic
580D4—28no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
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—41no—
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—84no—
610C2×C4—84no—
611C2×C4—102no—
612C2×C4—201no—
613C2×C4—201no—
614C2×C4—201no—
615C2×C4—201no—
616C2×C4—201no—
617C2×C4—201no—
618C2×C4—201no—
619C2×C4—201no—
620C2×C4—201no—
621C2×C4—201no—
622C2×C4—201no—
623C2×C4—404no—
624C2×C4C2×#68312yes—
625C2×C4C2×#68312yes—
626C2×C4C2×#68312yes—
627C2×C4C2×#68312yes—
628C2×C4C22×Dic1011yescharacteristic
629C2×C4C22×C4×D511yescharacteristic
630C2×C4C2×D4×D511yescharacteristic
631C2×C4#414411yescharacteristic
632C2×C4D5×#4111yescharacteristic
633C2×C4#415011yescharacteristic
634C8—54no—
635C8—102no—
636C8—102no—
637C8—102no—
638C5#2265911yescharacteristic, complemented, Sylow
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#6525314yescomplemented
653C22C22×#68311yescharacteristic
654C22C2×#407811yescharacteristic
655C22D4×C22⋊D511yescharacteristic
656C22C2×#408811yescharacteristic
657C22#6615811yescharacteristic
658C22#6617011yescharacteristic
659C22#6617111yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—202no—
669C4—401no—
670C4—401no—
671C4—401no—
672C4D4×Dic1011yescharacteristic
673C4#6587311yescharacteristic
674C4C4×D4×D511yescharacteristic
675C4#6588011yescharacteristic
676C2—24no—
677C2—42no—
678C2C2×#6525311yescharacteristic
679C2D4×#68311yescharacteristic
680C2#1061429211yescharacteristic
681C2#1061522211yescharacteristic
682C2#1061525011yescharacteristic
683C2#1061529011yescharacteristic
684C2#1061535511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutatorC2×C4×C5C23×C4
FrattiniC22×C4C23×D5
FittingC5×D4×C4⋊C4C2
socleC23×C5C22×D4
prime radicalC22×C5×D4D4
cosocleC22×C4×C5C24
hypercenterD4×C4⋊C4D5
hypocenterC5#22659
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×#65253C2semidirect
5. C22×#3940C2semidirect
6. #10602349C2semidirect
7. #10602348C2semidirect
8. #10600371C2semidirect
9. #10600361C2semidirect
10. #10600306C2semidirect
11. #10600305C2semidirect
12. #10600299C2semidirect
13. #10600298C2semidirect
14. #10600274C2semidirect
15. #10600261C2semidirect
36. #65300C4semidirect
107. C2×#681C2×C4semidirect
110. C22×#168C2×C4semidirect
123. C22⋊#168C2×C4semidirect
124. C22⋊#168C2×C4semidirect
130. #3940D4semidirect
135. C4⋊#168C2×C4semidirect
136. #3935C2×C4semidirect
357. #168C4×D4semidirect
445. C22×C5#428semidirect
638. C5#22659semidirect
652. C22#65253semidirect

Maximal subgroups

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

subgroupindex
C5×D4×C4⋊C42
#106140662
C2×#653002
C2×#652532
C22×#39402
#106023492
#106023482
#106003712
#106003612
#106003062
#106003052
#106002992
#106002982
#106002742
#106002612
#226595