Finite Group Databasebeta

← C4×#14583211 #25103702

Subgroups — C4×#14583211 #25103702

Order 11008.

1060 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583211C211yesmaximal, characteristic
2C4×#13063296C211yesmaximal, characteristic
3C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
4#19135218C211yesmaximal, characteristic, complemented
5#19135217C211yesmaximal, characteristic, complemented
6#19135165C211yesmaximal, characteristic, complemented
7#19135164C211yesmaximal, characteristic, complemented
8#19134909C211yesmaximal, characteristic
9#19134784C211yesmaximal, characteristic, complemented
10#19134680C211yesmaximal, characteristic, complemented
11C4×#13063258C211yesmaximal, characteristic, complemented
12C4×#13063259C211yesmaximal, characteristic, complemented
13C4×#13063246C211yesmaximal, characteristic, complemented
14C4×(C2×D43)⋊C8C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C2×#13063296C2211yescharacteristic
17C2×C4×C22⋊D43—21no—
18C2×C4⋊C4×D43C2211yescharacteristic
19C2×C4⋊C4×D43C2211yescharacteristic
20C2×C42×D43—21no—
21C2×C42×D43C2211yescharacteristic
22#14583211C418yesdirect product factor
23C2×#13063259C2211yescharacteristic
24C2×#13063259C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×C4×C43⋊C8C2211yescharacteristic
32#14582802C2211yescharacteristic
33#14582795C2211yescharacteristic
34#14582787—21no—
35#14582775—21no—
36#14582756C2211yescharacteristic
37C4⋊C4×Dic43C2211yescharacteristic
38C4⋊C4×Dic43C2211yescharacteristic
39C4×Dic43⋊C4—21no—
40C4×C4⋊Dic43C2211yescharacteristic
41C4×C4⋊Dic43C2211yescharacteristic
42#14582750—21no—
43C4×C22⋊Dic43—21no—
44#95×D43—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C2×#102×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×C4×C8×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C22×C22⋊D43—21no—
61C22×C4×D43—21no—
62C22×C4×D43—21no—
63C22×C4×D43D411yescharacteristic
64C22×C4×D43D411yescharacteristic
65C22×C4×D43C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68#13063296—22no—
69#13063296C2×C414yes—
70C4×C22⋊D43—44no—
71C2×C4⋊Dic43C2311yescharacteristic
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×Dic43⋊C4—21no—
76C2×Dic43⋊C4—21no—
77C2×Dic43⋊C4—21no—
78C4⋊C4×D43—22no—
79C4⋊C4×D43—22no—
80C4⋊C4×D43—22no—
81C4⋊C4×D43C2×C414yescomplemented
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×C4×Dic43—21no—
87C2×C4×Dic43—21no—
88C2×C4×Dic43—21no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43D411yescharacteristic
91C2×C4×Dic43D411yescharacteristic
92C2×C4×Dic43C2311yescharacteristic
93C42×D43—22no—
94C42×D43—22no—
95C42×D43—44no—
96#13063259—22no—
97#13063259C2×C414yescomplemented
98#13063258—22no—
99#13063258C2×C414yescomplemented
100#13063246—22no—
101#13063246C2×C414yescomplemented
102(C2×D43)⋊C8—22no—
103(C2×D43)⋊C8C2×C414yescomplemented
104C4×C43⋊C8—22no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C22×D4×C43C2311yescharacteristic
112C23×C4×C43—21no—
113C22×C8×C43C2311yescharacteristic
114C22×C8×C43C2311yescharacteristic
115C4×D4×C43—22no—
116C4×D4×C43—22no—
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—21no—
121C2×C42×C43—21no—
122C2×C42×C43C2311yescharacteristic
123#102×C43—22no—
124#102×C43C2×C414yescomplemented
125C4×C8×C43—22no—
126#95×C43—21no—
127C24×C43—21no—
128C23×D43C2×D411yescharacteristic
129C2×D4×C43—21no—
130C2×D4×C43—21no—
131C2×D4×C43—21no—
132C2×D4×C43—21no—
133C2×D4×C43—21no—
134C2×D4×C43C22×C412yes—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—42no—
139C22×C4×C43—42no—
140C22×C4×C43—42no—
141C22×C4×C43C2×D411yescharacteristic
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43C2411yescharacteristic
144C2×C22⋊D43—24no—
145C2×C22⋊D43—42no—
146C2×C22⋊D43—42no—
147C22×Dic43—21no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43—21no—
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153C22×Dic43C2×D411yescharacteristic
154C2×C4×D43—22no—
155C2×C4×D43—22no—
156C2×C4×D43—21no—
157C2×C4×D43—21no—
158C2×C4×D43—21no—
159C2×C4×D43—21no—
160C2×C4×D43—24no—
161C2×C4×D43—22no—
162C2×C4×D43—24no—
163C2×C4×D43—22no—
164C2×C4×D43—41no—
165C2×C4×D43—42no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43D814yes—
170C2×C4×D43C22×C412yes—
171C2×C4×D43#4112yes—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43C22×C412yes—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43C22×C412yes—
183C4⋊C4×C43#4112yes—
184C22⋊C4×C43—42no—
185C42×C43—42no—
186C42×C43#4112yes—
187C42×C43#4112yes—
188C22⋊Dic43—24no—
189C22⋊Dic43—42no—
190C22⋊Dic43—42no—
191(C2×D43)⋊C4—42no—
192C4⋊Dic43—21no—
193C4⋊Dic43—21no—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—21no—
197C4⋊Dic43C22×C412yes—
198C4⋊Dic43C22×C412yes—
199C4⋊Dic43#4112yes—
200Dic43⋊C4—24no—
201Dic43⋊C4—24no—
202Dic43⋊C4—42no—
203C4×Dic43—22no—
204C4×Dic43—22no—
205C4×Dic43—21no—
206C4×Dic43—21no—
207C4×Dic43—42no—
208C4×Dic43—42no—
209C4×Dic43—42no—
210C4×Dic43—42no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8C22×C412yes—
217C23×C43—22no—
218C23×C43—41no—
219C23×C43—41no—
220C23×C43—41no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43C22×D411yescharacteristic
225C22×D43—21no—
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43C4×D412yes—
230C22×D43C2×D812yes—
231C22×D43#13512yes—
232D4×C43—22no—
233D4×C43—22no—
234D4×C43—41no—
235D4×C43—41no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—41no—
241C2×C4×C43—41no—
242C2×C4×C43—41no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—84no—
248C2×C4×C43#12312yes—
249C2×C4×C43#12312yes—
250C2×C4×C43C2×D812yes—
251C2×C4×C43#13712yes—
252C2×C4×C43C23×C411yescharacteristic
253C2×C4×C43C2×#4111yescharacteristic
254C2×C4×C43C2×#4111yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×C4×C43C2×#4111yescharacteristic
258C22⋊D43—48no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—22no—
264C2×Dic43—22no—
265C2×Dic43—21no—
266C2×Dic43—22no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43C4×D412yes—
279C2×Dic43C2×D812yes—
280C4×D43—22no—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—22no—
284C4×D43—28no—
285C4×D43—44no—
286C4×D43—48no—
287C4×D43—48no—
288C8×C43—22no—
289C8×C43—41no—
290C43⋊C8—22no—
291C43⋊C8—41no—
292C4×#480—431nomaximal, Sylow
293C22×C43—42no—
294C22×C43—42no—
295C22×C43—42no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43C2×C4×D411yescharacteristic
301C22×C43C2×#12311yescharacteristic
302C22×C43#52511yescharacteristic
303C22×C43C22×D811yescharacteristic
304C22×C43C2×#13511yescharacteristic
305C22×C43C2×#13711yescharacteristic
306C22×C43#57511yescharacteristic
307C2×D43—22no—
308C2×D43—22no—
309C2×D43—22no—
310C2×D43—22no—
311C2×D43—22no—
312C2×D43—22no—
313C2×D43C4×D814yes—
314C4×C43—22no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—81no—
318C4×C43#48014yescomplemented
319C4×C43C4×#4111yescharacteristic
320C4×C43C4×#4111yescharacteristic
321C4×C43#52911yescharacteristic
322C4×C43#52911yescharacteristic
323Dic43—22no—
324Dic43—22no—
325Dic43—41no—
326Dic43—42no—
327Dic43—42no—
328Dic43—42no—
329Dic43—81no—
330C2×#480—431no—
331C4×#121—431no—
332C2×C4×C4⋊C4—431no—
333#1925—431no—
334#1925—431no—
335#1918—431no—
336#1918—431no—
337#1874—431no—
338#1852—431no—
339#1823—431no—
340C4×#107—431no—
341C4×#107—431no—
342C4×#102—431no—
343C4×#102D4311yescharacteristic, complemented
344C4×C22⋊C8—431no—
345C2×C43—82no—
346C2×C43C4×#12311yescharacteristic
347C2×C43C2×C4×D811yescharacteristic
348C2×C43C4×#13711yescharacteristic
349C2×C43C2×#48011yescharacteristic
350C2×C43#309111yescharacteristic
351C2×C43#310011yescharacteristic
352C2×C43#310811yescharacteristic
353D43—24no—
354C2×#121—431no—
355C2×C4×D4—861no—
356C2×C4×D4C2×D4311yescharacteristic
357C22×C4⋊C4—431no—
358C22×C4⋊C4—431no—
359C22×C42—431no—
360C22×C42—861no—
361#480—438no—
362C2×#107—431no—
363C2×#107—431no—
364C2×#107—431no—
365C2×#107—431no—
366C2×#102—431no—
367C2×#102—431no—
368C2×#102C2×D4311yescharacteristic
369C2×#102C2×D4311yescharacteristic
370C2×C22⋊C8—431no—
371C2×C22⋊C8—431no—
372C2×C4×C8—431no—
373C2×C4×C8C2×D4311yescharacteristic
374#390—431no—
375#389—431no—
376#388—861no—
377#386—861no—
378#380—431no—
379C4×C4⋊C4—431no—
380C4×C4⋊C4—431no—
381C4×C4⋊C4—431no—
382C4×C4⋊C4—431no—
383C4×C4⋊C4—861no—
384C4×C4⋊C4—861no—
385C4×C4⋊C4C2×D4311yescharacteristic
386C4×C22⋊C4—861no—
387C2×#95—861no—
388#340—431no—
389#340—431no—
390#340—431no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340C2×D4311yescharacteristic
395#340C2×D4311yescharacteristic
396#336—431no—
397#336—431no—
398C43C4×#48011yescharacteristic, complemented, Sylow
399C22×D4—861no—
400C22×D4C22×D4311yescharacteristic
401C23×C4—21no—
402C23×C4—431no—
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—861no—
406C23×C4—861no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8C22×D4311yescharacteristic
410C22×C8C22×D4311yescharacteristic
411#121—434no—
412#121—862no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—1724no—
416C2×C4⋊C4—431no—
417C2×C4⋊C4—431no—
418C2×C4⋊C4—431no—
419C2×C4⋊C4—434no—
420C2×C4⋊C4—431no—
421C2×C4⋊C4—862no—
422C2×C4⋊C4—862no—
423C2×C4⋊C4—861no—
424C2×C4⋊C4—861no—
425C2×C4⋊C4—862no—
426C2×C4⋊C4—861no—
427C2×C4⋊C4C22×D4311yescharacteristic
428C2×C4⋊C4C22×D4311yescharacteristic
429C2×C4⋊C4C22×D4311yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—861no—
432C2×C22⋊C4—861no—
433C2×C22⋊C4—861no—
434C2×C22⋊C4—861no—
435C2×C42—21no—
436C2×C42—431no—
437C2×C42—431no—
438C2×C42—431no—
439C2×C42—862no—
440C2×C42—862no—
441C2×C42—861no—
442C2×C42—861no—
443C2×C42—861no—
444C2×C42—861no—
445C2×C42—1724no—
446C2×C42C22×D4311yescharacteristic
447#107—434no—
448#107—434no—
449#107—862no—
450#107—862no—
451#102—22no—
452#102—434no—
453#102—862no—
454#102C4×D4314yescomplemented
455C22⋊C8—434no—
456C22⋊C8—862no—
457C4×C8—22no—
458C4×C8—862no—
459#95—21no—
460#95—861no—
461#95—861no—
462#95—861no—
463#95—861no—
464#95—861no—
465#95—861no—
466C24—21no—
467C24—431no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—864no—
474C2×D4—1722no—
475C2×D4—1722no—
476C2×D4C2×C4×D4312yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—431no—
484C22×C4—431no—
485C22×C4—434no—
486C22×C4—432no—
487C22×C4—432no—
488C22×C4—431no—
489C22×C4—864no—
490C22×C4—862no—
491C22×C4—864no—
492C22×C4—862no—
493C22×C4—862no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—861no—
499C22×C4—861no—
500C22×C4—861no—
501C22×C4—862no—
502C22×C4—861no—
503C22×C4—1721no—
504C22×C4—1722no—
505C22×C4—1722no—
506C22×C4—1722no—
507C22×C4—1722no—
508C22×C4D4×D4311yescharacteristic
509C22×C4D4×D4311yescharacteristic
510C22×C4C23×D4311yescharacteristic
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—432no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8C2×C4×D4312yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—432no—
528C4⋊C4—432no—
529C4⋊C4—432no—
530C4⋊C4—864no—
531C4⋊C4—864no—
532C4⋊C4—861no—
533C4⋊C4—861no—
534C4⋊C4—861no—
535C4⋊C4—861no—
536C4⋊C4—861no—
537C4⋊C4—1722no—
538C4⋊C4C2×C4×D4312yes—
539C4⋊C4#1062189812yes—
540C22⋊C4—42no—
541C22⋊C4—864no—
542C22⋊C4—1722no—
543C22⋊C4—1722no—
544C22⋊C4—1722no—
545C42—42no—
546C42—862no—
547C42—862no—
548C42—861no—
549C42—861no—
550C42—1722no—
551C42—1722no—
552C42—1722no—
553C42—1722no—
554C42#1062189812yes—
555C42#1062190012yes—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—432no—
564C23—432no—
565C23—432no—
566C23—861no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23C2×D4×D4311yescharacteristic
571D4—22no—
572D4—22no—
573D4—41no—
574D4—41no—
575D4—1728no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4—432no—
589C2×C4—432no—
590C2×C4—861no—
591C2×C4—861no—
592C2×C4—861no—
593C2×C4—861no—
594C2×C4—862no—
595C2×C4—862no—
596C2×C4—862no—
597C2×C4—862no—
598C2×C4—868no—
599C2×C4—862no—
600C2×C4—862no—
601C2×C4—861no—
602C2×C4—862no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—1724no—
606C2×C4—1728no—
607C2×C4—1728no—
608C2×C4—1721no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4#1306330712yes—
618C2×C4#1306330712yes—
619C2×C4D8×D4312yes—
620C2×C4#1306335412yes—
621C2×C4C22×C4×D4311yescharacteristic
622C2×C4#41×D4311yescharacteristic
623C2×C4#41×D4311yescharacteristic
624C2×C4C2×#1062190011yescharacteristic
625C2×C4C2×#1062189811yescharacteristic
626C2×C4C2×#1062189811yescharacteristic
627C8—22no—
628C8—41no—
629C8—862no—
630C8—1721no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—434no—
639C22—862no—
640C22—862no—
641C22—862no—
642C22—862no—
643C22—862no—
644C22—862no—
645C22C4×D4×D4311yescharacteristic
646C22C2×#1306330711yescharacteristic
647C22#1458340811yescharacteristic
648C22C2×D8×D4311yescharacteristic
649C22#135×D4311yescharacteristic
650C22C2×#1306335411yescharacteristic
651C22#1458369611yescharacteristic
652C4—22no—
653C4—42no—
654C4—42no—
655C4—81no—
656C4—862no—
657C4—862no—
658C4—3441no—
659C4—1721no—
660C4—1722no—
661C4—1722no—
662C4—1722no—
663C4#1458321114yesdirect product factor
664C4C4×#1062190011yescharacteristic
665C4C4×#1062189811yescharacteristic
666C4#1458342711yescharacteristic
667C4#1458343111yescharacteristic
668C2—82no—
669C2—864no—
670C2C4×#1306330711yescharacteristic
671C2C4×D8×D4311yescharacteristic
672C2C4×#1306335411yescharacteristic
673C2C2×#1458321111yescharacteristic
674C2#1914450611yescharacteristic
675C2#1914459311yescharacteristic
676C2#1914467311yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#102×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
cosocleC22×C4×C43C24
hypercenterC4×#102D43
hypocenterC43C4×#480
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
3. C4×C4⋊C4×D43C2semidirect
4. #19135218C2semidirect
5. #19135217C2semidirect
6. #19135165C2semidirect
7. #19135164C2semidirect
9. #19134784C2semidirect
10. #19134680C2semidirect
11. C4×#13063258C2semidirect
12. C4×#13063259C2semidirect
13. C4×#13063246C2semidirect
14. C4×(C2×D43)⋊C8C2semidirect
15. C4×#102×C43C2semidirect
22. #14583211C4direct (N × H)
81. C4⋊C4×D43C2×C4semidirect
97. #13063259C2×C4semidirect
99. #13063258C2×C4semidirect
101. #13063246C2×C4semidirect
103. (C2×D43)⋊C8C2×C4semidirect
124. #102×C43C2×C4semidirect
318. C4×C43#480semidirect
343. C4×#102D43semidirect
398. C43C4×#480semidirect
454. #102C4×D43semidirect
663. C4#14583211direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145832112
C4×#130632962
C4×C4⋊C4×D432
#191352182
#191352172
#191351652
#191351642
#191349092
#191347842
#191346802
C4×#130632582
C4×#130632592
C4×#130632462
C4×(C2×D43)⋊C82
C4×#102×C432
C4×#48043