Finite Group Databasebeta

← A4×#4029 #14513989

Subgroups — A4×#4029 #14513989

Order 1920.

916 conjugacy classes of subgroups; only the 93 normal subgroups are shown.

normal subgroups only

This group has 916 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×A4×C22⋊D5C211yesmaximal, characteristic
2C2×C4×D5×A4C211yesmaximal, characteristic, complemented
3C5×A4×C22⋊C4C211yesmaximal, characteristic, complemented
4A4×C22⋊Dic5C211yesmaximal, characteristic, complemented
5A4×#685C211yesmaximal, characteristic, complemented
6A4×C4⋊Dic5C211yesmaximal, characteristic, complemented
7A4×#683C211yesmaximal, characteristic, complemented
8C22×#4029C311yesmaximal, characteristic, complemented, Hall
9C23×C5×A4C2211yescharacteristic
10C22×D5×A4C2211yescharacteristic
11C2×C4×C5×A4C2211yescharacteristic
12C2×C4×C5×A4C2211yescharacteristic
13A4×C22⋊D5—22no—
14C2×A4×Dic5C2211yescharacteristic
15C2×A4×Dic5C2211yescharacteristic
16C2×A4×Dic5C2211yescharacteristic
17C4×D5×A4—22no—
18C3×#4029—41nomaximal
19A4×#123—51nomaximal, Hall
20C23×C22⋊D5C2×C311yescharacteristic
21C23×C4×D5C2×C311yescharacteristic, complemented
22C22×C5×C22⋊C4C2×C311yescharacteristic, complemented
23C22×C22⋊Dic5C2×C311yescharacteristic, complemented
24C22×#685C2×C311yescharacteristic, complemented
25C22×C4⋊Dic5C2×C311yescharacteristic, complemented
26C22×#683C2×C311yescharacteristic, complemented
27C2×#4029—31no—
28C2×#4029—31no—
29C2×#4029—31no—
30C2×#4029—31no—
31C2×#4029—31no—
32C2×#4029—31no—
33C2×#4029—31no—
34C2×#4029—31no—
35C22×C5×A4—21no—
36C22×C5×A4—21no—
37C22×C5×A4—21no—
38C22×C5×A4C2311yescharacteristic
39C2×D5×A4—21no—
40C2×D5×A4—21no—
41C2×D5×A4D412yes—
42C2×C3×C22⋊D5—41no—
43C2×C3×C4×D5—41no—
44C4×C5×A4—21no—
45C4×C5×A4—21no—
46A4×Dic5—21no—
47A4×Dic5—21no—
48A4×Dic5—21no—
49C3×C5×C22⋊C4—41no—
50C3×C22⋊Dic5—41no—
51C3×#685—41no—
52C3×C4⋊Dic5—41no—
53C3×#683—41no—
54C2×D4×A4—51no—
55C22×C4×A4—51no—
56A4×C4⋊C4—51no—
57A4×C4⋊C4—51no—
58A4×C22⋊C4—51no—
59A4×C22⋊C4—51no—
60A4×C22⋊C4D511yescharacteristic, complemented
61C25×C5C22×C311yescharacteristic
62C24×D5C22×C311yescharacteristic
63C23×C4×C5C22×C311yescharacteristic
64C23×C4×C5C22×C311yescharacteristic
65C22×C22⋊D5—22no—
66C22×C22⋊D5—31no—
67C22×C22⋊D5—31no—
68C22×C22⋊D5—31no—
69C22×C22⋊D5—31no—
70C22×C22⋊D5—62no—
71C23×Dic5C22×C311yescharacteristic
72C23×Dic5C22×C311yescharacteristic
73C23×Dic5C22×C311yescharacteristic
74C22×C4×D5—22no—
75C22×C4×D5—31no—
76C22×C4×D5—31no—
77C22×C4×D5—31no—
78C22×C4×D5—31no—
79C22×C4×D5—62no—
80C2×C5×C22⋊C4—31no—
81C2×C5×C22⋊C4—31no—
82C2×C5×C22⋊C4—31no—
83C2×C5×C22⋊C4—31no—
84C2×C22⋊Dic5—31no—
85C2×C22⋊Dic5—31no—
86C2×C22⋊Dic5—31no—
87C2×C22⋊Dic5—31no—
88C2×#685—31no—
89C2×#685—31no—
90C2×#685—31no—
91C2×#685—31no—
92C2×C4⋊Dic5—31no—
93C2×C4⋊Dic5—31no—
94C2×C4⋊Dic5—31no—
95C2×C4⋊Dic5—31no—
96C2×#683—31no—
97C2×#683—31no—
98C2×#683—31no—
99C2×#683—31no—
100#4029—32no—
101#4029—32no—
102#4029—32no—
103#4029—32no—
104#4029—32no—
105#4029—32no—
106#4029—32no—
107#4029—31no—
108#4029—31no—
109#4029—31no—
110#4029—31no—
111#4029—31no—
112#4029—31no—
113#4029—31no—
114#4029A411yescharacteristic, direct product factor
115C22×#123—51noSylow
116C23×C3×C5—41no—
117C22×C3×D5—41no—
118C2×C5×A4—41no—
119C2×C5×A4C2×D411yescharacteristic
120C2×C5×A4#4111yescharacteristic
121C2×C5×A4#4111yescharacteristic
122D5×A4—22no—
123C2×C3×C4×C5—41no—
124C2×C3×C4×C5—41no—
125C3×C22⋊D5—82no—
126C2×C3×Dic5—41no—
127C2×C3×Dic5—41no—
128C2×C3×Dic5—41no—
129C3×C4×D5—82no—
130C23×A4—51no—
131C23×A4C2×D511yescharacteristic
132D4×A4—102no—
133C2×C4×A4—51no—
134C2×C4×A4—51no—
135C2×C4×A4—51no—
136C2×C4×A4—102no—
137C2×C4×A4C2×D511yescharacteristic
138C2×C4×A4C2×D511yescharacteristic
139C3×#123—201no—
140C24×C5—21no—
141C24×C5—21no—
142C24×C5—21no—
143C24×C5—31no—
144C24×C5—31no—
145C24×C5—61no—
146C24×C5—61no—
147C24×C5—61no—
148C24×C5C23×C311yescharacteristic
149C23×D5—21no—
150C23×D5—21no—
151C23×D5—31no—
152C23×D5—31no—
153C23×D5—32no—
154C23×D5—61no—
155C23×D5—61no—
156C23×D5C3×D412yes—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—31no—
160C22×C4×C5—31no—
161C22×C4×C5—31no—
162C22×C4×C5—31no—
163C22×C4×C5—61no—
164C22×C4×C5—61no—
165C2×C22⋊D5—32no—
166C2×C22⋊D5—31no—
167C2×C22⋊D5—31no—
168C2×C22⋊D5—31no—
169C2×C22⋊D5—62no—
170C2×C22⋊D5—62no—
171C2×C22⋊D5—62no—
172C2×C22⋊D5—62no—
173C2×C22⋊D5—62no—
174C2×C22⋊D5—62no—
175C2×C22⋊D5—62no—
176C2×C22⋊D5—62no—
177C2×C22⋊D5C2×A411yescharacteristic
178C22×Dic5—21no—
179C22×Dic5—21no—
180C22×Dic5—21no—
181C22×Dic5—31no—
182C22×Dic5—31no—
183C22×Dic5—31no—
184C22×Dic5—31no—
185C22×Dic5—31no—
186C22×Dic5—31no—
187C22×Dic5—61no—
188C22×Dic5—61no—
189C22×Dic5—61no—
190C2×C4×D5—32no—
191C2×C4×D5—31no—
192C2×C4×D5—31no—
193C2×C4×D5—31no—
194C2×C4×D5—62no—
195C2×C4×D5—62no—
196C2×C4×D5—62no—
197C2×C4×D5—62no—
198C2×C4×D5—62no—
199C2×C4×D5—62no—
200C2×C4×D5—62no—
201C2×C4×D5—62no—
202C2×C4×D5C2×A411yescharacteristic, complemented
203C5×C22⋊C4—32no—
204C5×C22⋊C4—31no—
205C5×C22⋊C4—31no—
206C5×C22⋊C4—31no—
207C5×C22⋊C4C2×A411yescharacteristic, complemented
208C22⋊Dic5—32no—
209C22⋊Dic5—31no—
210C22⋊Dic5—31no—
211C22⋊Dic5—31no—
212C22⋊Dic5C2×A411yescharacteristic, complemented
213#685—32no—
214#685—31no—
215#685—31no—
216#685—31no—
217#685C2×A411yescharacteristic, complemented
218C4⋊Dic5—32no—
219C4⋊Dic5—31no—
220C4⋊Dic5—31no—
221C4⋊Dic5—31no—
222C4⋊Dic5C2×A411yescharacteristic, complemented
223#683—32no—
224#683—31no—
225#683—31no—
226#683—31no—
227#683C2×A411yescharacteristic, complemented
228C23×D4—51no—
229C24×C4—51no—
230C2×#123—151no—
231C2×#123—151no—
232C2×#123—151no—
233C2×#123—151no—
234C2×#123—151no—
235C2×#123—151no—
236C2×#123—151no—
237C2×#123—151no—
238C22×C4⋊C4—51no—
239C22×C4⋊C4—51no—
240C22×C22⋊C4—51no—
241C22×C22⋊C4—51no—
242C22×C22⋊C4C3×D511yescharacteristic, complemented
243C22×C3×C5—41no—
244C22×C3×C5—81no—
245C22×C3×C5—81no—
246C22×C3×C5—81no—
247C2×C3×D5—42no—
248C2×C3×D5—81no—
249C2×C3×D5—81no—
250C5×A4#12311yescharacteristic, complemented
251C3×C4×C5—81no—
252C3×C4×C5—81no—
253C3×Dic5—81no—
254C3×Dic5—81no—
255C3×Dic5—81no—
256C22×A4—21no—
257C22×A4—21no—
258C22×A4—21no—
259C22×A4—52no—
260C22×A4—101no—
261C22×A4—101no—
262C22×A4C22×D511yescharacteristic
263C2×C3×D4—201no—
264C22×C3×C4—201no—
265C4×A4—21no—
266C4×A4—21no—
267C4×A4—101no—
268C4×A4—101no—
269C4×A4—101no—
270C3×C4⋊C4—201no—
271C3×C4⋊C4—201no—
272C3×C22⋊C4—41no—
273C3×C22⋊C4—201no—
274C3×C22⋊C4—201no—
275C23×C5—31no—
276C23×C5—31no—
277C23×C5—31no—
278C23×C5—31no—
279C23×C5—31no—
280C23×C5—41no—
281C23×C5—61no—
282C23×C5—61no—
283C23×C5—61no—
284C23×C5—61no—
285C23×C5—61no—
286C23×C5—61no—
287C23×C5—61no—
288C23×C5—61no—
289C23×C5—61no—
290C23×C5—61no—
291C23×C5—61no—
292C23×C5—61no—
293C23×C5—121no—
294C23×C5—121no—
295C23×C5—121no—
296C23×C5—122no—
297C23×C5C2×C3×D411yescharacteristic
298C23×C5C3×#4111yescharacteristic
299C23×C5C3×#4111yescharacteristic
300C23×C5C22×A411yescharacteristic
301C22×D5—22no—
302C22×D5—32no—
303C22×D5—31no—
304C22×D5—32no—
305C22×D5—32no—
306C22×D5—32no—
307C22×D5—61no—
308C22×D5—61no—
309C22×D5—61no—
310C22×D5—61no—
311C22×D5—64no—
312C22×D5—62no—
313C22×D5—62no—
314C22×D5—61no—
315C22×D5—61no—
316C22×D5—61no—
317C22×D5—61no—
318C22×D5—62no—
319C22×D5C22×A411yescharacteristic
320C2×C4×C5—31no—
321C2×C4×C5—31no—
322C2×C4×C5—61no—
323C2×C4×C5—61no—
324C2×C4×C5—61no—
325C2×C4×C5—61no—
326C2×C4×C5—61no—
327C2×C4×C5—61no—
328C2×C4×C5—61no—
329C2×C4×C5—61no—
330C2×C4×C5C22×A411yescharacteristic
331C2×C4×C5C22×A411yescharacteristic
332C22⋊D5—22no—
333C22⋊D5—62no—
334C22⋊D5—62no—
335C22⋊D5—64no—
336C22⋊D5—62no—
337C2×Dic5—31no—
338C2×Dic5—31no—
339C2×Dic5—31no—
340C2×Dic5—61no—
341C2×Dic5—61no—
342C2×Dic5—61no—
343C2×Dic5—61no—
344C2×Dic5—61no—
345C2×Dic5—61no—
346C2×Dic5—61no—
347C2×Dic5—61no—
348C2×Dic5—61no—
349C2×Dic5—61no—
350C2×Dic5—61no—
351C2×Dic5—61no—
352C2×Dic5C22×A411yescharacteristic
353C2×Dic5C22×A411yescharacteristic
354C2×Dic5C22×A411yescharacteristic
355C4×D5—22no—
356C4×D5—62no—
357C4×D5—62no—
358C4×D5—64no—
359C4×D5—62no—
360C25—51no—
361C25C2×C3×D511yescharacteristic
362C22×D4—102no—
363C22×D4—151no—
364C22×D4—151no—
365C22×D4—151no—
366C22×D4—151no—
367C22×D4—302no—
368C23×C4—51no—
369C23×C4—51no—
370C23×C4—51no—
371C23×C4—102no—
372C23×C4—151no—
373C23×C4—151no—
374C23×C4—151no—
375C23×C4—151no—
376C23×C4—302no—
377C23×C4C2×C3×D511yescharacteristic
378C23×C4C2×C3×D511yescharacteristic
379#123—51no—
380#123—151no—
381#123—151no—
382#123—151no—
383#123—151no—
384#123—151no—
385#123—151no—
386#123—152no—
387#123—152no—
388#123—152no—
389#123—152no—
390#123—152no—
391#123—152no—
392#123—152no—
393#123—151no—
394C2×C4⋊C4—151no—
395C2×C4⋊C4—151no—
396C2×C4⋊C4—151no—
397C2×C4⋊C4—151no—
398C2×C4⋊C4—151no—
399C2×C4⋊C4—151no—
400C2×C4⋊C4—151no—
401C2×C4⋊C4—151no—
402C2×C22⋊C4—31no—
403C2×C22⋊C4—31no—
404C2×C22⋊C4—31no—
405C2×C22⋊C4—31no—
406C2×C22⋊C4—151no—
407C2×C22⋊C4—151no—
408C2×C22⋊C4—151no—
409C2×C22⋊C4—151no—
410C2×C22⋊C4—151no—
411C2×C22⋊C4—151no—
412C2×C22⋊C4—151no—
413C2×C22⋊C4—151no—
414C2×C3×C5—41no—
415C2×C3×C5—41no—
416C2×C3×C5—41no—
417C2×C3×C5—161no—
418C3×D5—82no—
419C23×C3—41no—
420C23×C3—201no—
421C2×A4—41no—
422C2×A4—102no—
423C2×A4#70911yescharacteristic
424C2×A4D4×D511yescharacteristic
425C2×A4#71111yescharacteristic
426C3×D4—402no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—201no—
430C2×C3×C4—201no—
431C2×C3×C4—201no—
432C2×C3×C4—402no—
433C22×C5—21no—
434C22×C5—21no—
435C22×C5—21no—
436C22×C5—31no—
437C22×C5—31no—
438C22×C5—31no—
439C22×C5—32no—
440C22×C5—31no—
441C22×C5—31no—
442C22×C5—31no—
443C22×C5—31no—
444C22×C5—31no—
445C22×C5—31no—
446C22×C5—61no—
447C22×C5—61no—
448C22×C5—61no—
449C22×C5—121no—
450C22×C5—121no—
451C22×C5—121no—
452C22×C5—121no—
453C22×C5—121no—
454C22×C5—121no—
455C22×C5—121no—
456C22×C5—121no—
457C22×C5C3×#12311yescharacteristic, complemented
458C22×C5C23×A411yescharacteristic
459C2×D5—21no—
460C2×D5—21no—
461C2×D5—32no—
462C2×D5—62no—
463C2×D5—62no—
464C2×D5—62no—
465C2×D5—62no—
466C2×D5—62no—
467C2×D5—62no—
468C2×D5—61no—
469C2×D5—61no—
470C2×D5—62no—
471C2×D5—62no—
472C2×D5D4×A412yes—
473C4×C5—21no—
474C4×C5—21no—
475C4×C5—61no—
476C4×C5—61no—
477Dic5—21no—
478Dic5—21no—
479Dic5—21no—
480Dic5—61no—
481Dic5—61no—
482Dic5—61no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—31no—
487C24—31no—
488C24—52no—
489C24—61no—
490C24—61no—
491C24—61no—
492C24—101no—
493C24—101no—
494C24—151no—
495C24—151no—
496C24—152no—
497C24—301no—
498C24—301no—
499C24C22×C3×D511yescharacteristic
500C2×D4—51no—
501C2×D4—151no—
502C2×D4—151no—
503C2×D4—152no—
504C2×D4—151no—
505C2×D4—302no—
506C2×D4—302no—
507C2×D4—302no—
508C2×D4—302no—
509C2×D4—302no—
510C2×D4—302no—
511C2×D4—302no—
512C2×D4—302no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—51no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—101no—
523C22×C4—101no—
524C22×C4—101no—
525C22×C4—151no—
526C22×C4—151no—
527C22×C4—152no—
528C22×C4—151no—
529C22×C4—151no—
530C22×C4—151no—
531C22×C4—151no—
532C22×C4—151no—
533C22×C4—151no—
534C22×C4—151no—
535C22×C4—302no—
536C22×C4—302no—
537C22×C4—302no—
538C22×C4—302no—
539C22×C4—302no—
540C22×C4—302no—
541C22×C4—302no—
542C22×C4—302no—
543C22×C4—301no—
544C22×C4—301no—
545C22×C4—301no—
546C4⋊C4—51no—
547C4⋊C4—51no—
548C4⋊C4—151no—
549C4⋊C4—151no—
550C4⋊C4—151no—
551C4⋊C4—151no—
552C4⋊C4—152no—
553C4⋊C4—152no—
554C4⋊C4—151no—
555C4⋊C4—151no—
556C22⋊C4—32no—
557C22⋊C4—31no—
558C22⋊C4—31no—
559C22⋊C4—31no—
560C22⋊C4—51no—
561C22⋊C4—51no—
562C22⋊C4—151no—
563C22⋊C4—151no—
564C22⋊C4—152no—
565C22⋊C4—151no—
566C22⋊C4—151no—
567C22⋊C4—152no—
568C22⋊C4—151no—
569C22⋊C4—151no—
570C22⋊C4D5×A411yescharacteristic, complemented
571C3×C5—41noHall
572C22×C3—41no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3—81no—
576C22×C3—202no—
577C22×C3—401no—
578C22×C3—401no—
579A4#402911yescharacteristic, direct product factor
580C3×C4—81no—
581C3×C4—81no—
582C3×C4—401no—
583C3×C4—401no—
584C3×C4—401no—
585C2×C5—31no—
586C2×C5—31no—
587C2×C5—31no—
588C2×C5—31no—
589C2×C5—41no—
590C2×C5—121no—
591C2×C5C2×D4×A411yescharacteristic
592C2×C5A4×#4111yescharacteristic
593C2×C5A4×#4111yescharacteristic
594D5—22no—
595D5—62no—
596C23—31no—
597C23—31no—
598C23—31no—
599C23—31no—
600C23—31no—
601C23—41no—
602C23—51no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—102no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—122no—
620C23—152no—
621C23—152no—
622C23—152no—
623C23—152no—
624C23—151no—
625C23—301no—
626C23—301no—
627C23—301no—
628C23—301no—
629C23—302no—
630C23—302no—
631C23—302no—
632C23—301no—
633C23—301no—
634C23—301no—
635C23—301no—
636C23—304no—
637C23C3×#70911yescharacteristic
638C23C3×D4×D511yescharacteristic
639C23C3×#71111yescharacteristic
640C23C2×D5×A411yescharacteristic
641D4—102no—
642D4—302no—
643D4—302no—
644D4—302no—
645D4—304no—
646C2×C4—31no—
647C2×C4—31no—
648C2×C4—51no—
649C2×C4—51no—
650C2×C4—51no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—102no—
660C2×C4—151no—
661C2×C4—151no—
662C2×C4—151no—
663C2×C4—302no—
664C2×C4—302no—
665C2×C4—302no—
666C2×C4—304no—
667C2×C4—301no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—301no—
675C2×C4—301no—
676C2×C4—301no—
677C2×C4—301no—
678C2×C4—301no—
679C2×C4C2×D5×A411yescharacteristic
680C2×C4C2×D5×A411yescharacteristic
681C2×C3—41no—
682C2×C3—41no—
683C2×C3—41no—
684C2×C3—161no—
685C2×C3—402no—
686C5A4×#12311yescharacteristic, complemented, Sylow
687C22—21no—
688C22—21no—
689C22—21no—
690C22—31no—
691C22—31no—
692C22—31no—
693C22—32no—
694C22—31no—
695C22—31no—
696C22—31no—
697C22—31no—
698C22—31no—
699C22—31no—
700C22—52no—
701C22—61no—
702C22—61no—
703C22—61no—
704C22—101no—
705C22—101no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22—152no—
715C22—302no—
716C22—302no—
717C22—302no—
718C22—302no—
719C22—302no—
720C22—302no—
721C22—302no—
722C22—302no—
723C22—301no—
724C22—301no—
725C22C3×#402911yescharacteristic, complemented
726C22C22×D5×A411yescharacteristic
727C4—21no—
728C4—21no—
729C4—61no—
730C4—61no—
731C4—101no—
732C4—101no—
733C4—101no—
734C4—301no—
735C4—301no—
736C4—301no—
737C3—41noSylow
738C2—31no—
739C2—31no—
740C2—31no—
741C2—31no—
742C2—41no—
743C2—102no—
744C2—121no—
745C2—302no—
746C2A4×#70911yescharacteristic
747C2D4×D5×A411yescharacteristic
748C2A4×#71111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D5×A4
commutator, socle, cosocleC24×C5C23×C3
FittingC22×C5×C22⋊C4C2×C3
prime radicalC2×A4×C22⋊D5C2
hypercenterC22⋊C4D5×A4
hypocenterC22×C5C3×#123
LCSG ▷ C24×C5 ▷ C22×C5
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×D5×A4C2semidirect
3. C5×A4×C22⋊C4C2semidirect
4. A4×C22⋊Dic5C2semidirect
5. A4×#685C2semidirect
6. A4×C4⋊Dic5C2semidirect
7. A4×#683C2semidirect
8. C22×#4029C3semidirect
21. C23×C4×D5C2×C3semidirect
22. C22×C5×C22⋊C4C2×C3semidirect
23. C22×C22⋊Dic5C2×C3semidirect
24. C22×#685C2×C3semidirect
25. C22×C4⋊Dic5C2×C3semidirect
26. C22×#683C2×C3semidirect
60. A4×C22⋊C4D5semidirect
114. #4029A4direct (N × H)
202. C2×C4×D5C2×A4semidirect
207. C5×C22⋊C4C2×A4semidirect
212. C22⋊Dic5C2×A4semidirect
217. #685C2×A4semidirect
222. C4⋊Dic5C2×A4semidirect
227. #683C2×A4semidirect
242. C22×C22⋊C4C3×D5semidirect
250. C5×A4#123semidirect
457. C22×C5C3×#123semidirect
570. C22⋊C4D5×A4semidirect
579. A4#4029direct (N × H)
686. C5A4×#123semidirect
725. C22C3×#4029semidirect

Maximal subgroups

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

subgroupindex
C2×A4×C22⋊D52
C2×C4×D5×A42
C5×A4×C22⋊C42
A4×C22⋊Dic52
A4×#6852
A4×C4⋊Dic52
A4×#6832
C22×#40293
C3×#40294
A4×#1235