Finite Group Databasebeta

← A4×#878 #11923151

Subgroups — A4×#878 #11923151

Order 1152.

894 conjugacy classes of subgroups; only the 105 normal subgroups are shown.

normal subgroups only

This group has 894 conjugacy classes of subgroups — too many to draw. Only its 105 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
1C22×Dic3×A4C211yesmaximal, characteristic
2C2×A4×Dic6C211yesmaximal, characteristic, complemented
3C3×A4×C22⋊C4C211yesmaximal, characteristic
4A4×#217C211yesmaximal, characteristic
5A4×C4⋊Dic3C211yesmaximal, characteristic, complemented
6A4×Dic3⋊C4C211yesmaximal, characteristic, complemented
7A4×Dic3⋊C4C211yesmaximal, characteristic, complemented
8C22×#878C311yesmaximal, characteristic, complemented
9A4×C22⋊Q8—31nomaximal
10C23×C3×A4C2211yescharacteristic
11C2×C3×C4×A4C2211yescharacteristic
12C2×C3×C4×A4C2211yescharacteristic
13C2×Dic3×A4—22no—
14C2×Dic3×A4C2211yescharacteristic
15C2×Dic3×A4C2211yescharacteristic
16C2×Dic3×A4C2211yescharacteristic
17C2×Dic3×A4C2211yescharacteristic
18A4×Dic6—22no—
19C3×#878—41nomaximal
20C24×Dic3C2×C311yescharacteristic
21C23×Dic6C2×C311yescharacteristic, complemented
22C2×Q8×A4—31no—
23C22×C4×A4—31no—
24C22×C3×C22⋊C4C2×C311yescharacteristic
25C22×#217C2×C311yescharacteristic
26C22×C4⋊Dic3C2×C311yescharacteristic, complemented
27C22×Dic3⋊C4C2×C311yescharacteristic, complemented
28C22×Dic3⋊C4C2×C311yescharacteristic, complemented
29C2×#878—31no—
30C2×#878—31no—
31C2×#878—31no—
32C2×#878—31no—
33C2×#878—31no—
34C2×#878—31no—
35C2×#878—31no—
36C2×#878—31no—
37A4×C4⋊C4—31no—
38A4×C4⋊C4—31no—
39A4×C4⋊C4—31no—
40A4×C22⋊C4—21no—
41A4×C22⋊C4—31no—
42A4×C22⋊C4D311yescharacteristic
43C22×C3×A4—21no—
44C22×C3×A4—21no—
45C22×C3×A4Q812yescomplemented
46C22×C3×A4C2311yescharacteristic
47C22×C3×Dic3—41no—
48C2×C3×Dic6—41no—
49C3×C4×A4—21no—
50C3×C4×A4—21no—
51Dic3×A4—21no—
52Dic3×A4—21no—
53Dic3×A4—21no—
54Dic3×A4D412yes—
55C32×C22⋊C4—41no—
56C3×#217—41no—
57C3×C4⋊Dic3—41no—
58C3×Dic3⋊C4—41no—
59C3×Dic3⋊C4—41no—
60C22×C22⋊Q8—31noSylow
61C25×C3C22×C311yescharacteristic
62C23×A4—21no—
63C23×A4C2×D311yescharacteristic
64C23×C3×C4C22×C311yescharacteristic
65C23×C3×C4C22×C311yescharacteristic
66C23×Dic3—22no—
67C23×Dic3—31no—
68C23×Dic3—31no—
69C23×Dic3—31no—
70C23×Dic3—31no—
71C23×Dic3—62no—
72C23×Dic3C22×C311yescharacteristic
73C23×Dic3C22×C311yescharacteristic
74C23×Dic3C22×C311yescharacteristic
75C23×Dic3C22×C311yescharacteristic
76C22×Dic6—22no—
77C22×Dic6—31no—
78C22×Dic6—31no—
79C22×Dic6—31no—
80C22×Dic6—31no—
81C22×Dic6—62no—
82Q8×A4—62no—
83C2×C4×A4—21no—
84C2×C4×A4—21no—
85C2×C4×A4—31no—
86C2×C4×A4—31no—
87C2×C4×A4—31no—
88C2×C4×A4—31no—
89C2×C4×A4—62no—
90C2×C4×A4C2×D311yescharacteristic
91C2×C4×A4C2×D311yescharacteristic
92C3×C22⋊Q8—121no—
93C2×C3×C22⋊C4—31no—
94C2×C3×C22⋊C4—31no—
95C2×C3×C22⋊C4—31no—
96C2×C3×C22⋊C4—31no—
97C2×#217—31no—
98C2×#217—31no—
99C2×#217—31no—
100C2×#217—31no—
101C2×C4⋊Dic3—31no—
102C2×C4⋊Dic3—31no—
103C2×C4⋊Dic3—31no—
104C2×C4⋊Dic3—31no—
105C2×Dic3⋊C4—31no—
106C2×Dic3⋊C4—31no—
107C2×Dic3⋊C4—31no—
108C2×Dic3⋊C4—31no—
109C2×Dic3⋊C4—31no—
110C2×Dic3⋊C4—31no—
111C2×Dic3⋊C4—31no—
112C2×Dic3⋊C4—31no—
113#878—32no—
114#878—32no—
115#878—32no—
116#878—32no—
117#878—32no—
118#878—32no—
119#878—32no—
120#878—31no—
121#878—31no—
122#878—31no—
123#878—31no—
124#878—31no—
125#878—31no—
126#878—31no—
127#878A411yescharacteristic, direct product factor
128C23×C32—41no—
129C2×C3×A4—22no—
130C2×C3×A4C2×D411yescharacteristic
131C2×C3×A4C2×Q811yescharacteristic
132C2×C3×A4#4111yescharacteristic
133C2×C32×C4—41no—
134C2×C32×C4—41no—
135C2×C3×Dic3—41no—
136C2×C3×Dic3—41no—
137C2×C3×Dic3—41no—
138C2×C3×Dic3—41no—
139C2×C3×Dic3—82no—
140C3×Dic6—82no—
141C23×Q8—31no—
142C24×C4—31no—
143C2×C22⋊Q8—91no—
144C2×C22⋊Q8—91no—
145C2×C22⋊Q8—91no—
146C2×C22⋊Q8—91no—
147C2×C22⋊Q8—91no—
148C2×C22⋊Q8—91no—
149C2×C22⋊Q8—91no—
150C2×C22⋊Q8—91no—
151C22×C4⋊C4—31no—
152C22×C4⋊C4—31no—
153C22×C4⋊C4—31no—
154C22×C22⋊C4—31no—
155C22×C22⋊C4C3×D311yescharacteristic
156C24×C3—21no—
157C24×C3—21no—
158C24×C3—32no—
159C24×C3—31no—
160C24×C3—31no—
161C24×C3—61no—
162C24×C3—61no—
163C24×C3C3×Q812yescomplemented
164C24×C3C23×C311yescharacteristic
165C22×A4—21no—
166C22×A4—21no—
167C22×A4—22no—
168C22×A4—21no—
169C22×A4—41no—
170C22×A4—41no—
171C22×A4Dic612yescomplemented
172C22×A4C22×D311yescharacteristic
173C2×C3×Q8—121no—
174C22×C3×C4—21no—
175C22×C3×C4—21no—
176C22×C3×C4—31no—
177C22×C3×C4—31no—
178C22×C3×C4—31no—
179C22×C3×C4—31no—
180C22×C3×C4—61no—
181C22×C3×C4—61no—
182C22×C3×C4—121no—
183C22×Dic3—21no—
184C22×Dic3—21no—
185C22×Dic3—21no—
186C22×Dic3—31no—
187C22×Dic3—31no—
188C22×Dic3—32no—
189C22×Dic3—32no—
190C22×Dic3—31no—
191C22×Dic3—31no—
192C22×Dic3—31no—
193C22×Dic3—31no—
194C22×Dic3—31no—
195C22×Dic3—31no—
196C22×Dic3—31no—
197C22×Dic3—31no—
198C22×Dic3—31no—
199C22×Dic3—62no—
200C22×Dic3—62no—
201C22×Dic3—62no—
202C22×Dic3—62no—
203C22×Dic3—62no—
204C22×Dic3—62no—
205C22×Dic3—62no—
206C22×Dic3—62no—
207C22×Dic3—61no—
208C22×Dic3—61no—
209C22×Dic3—61no—
210C22×Dic3C3×D412yes—
211C22×Dic3C2×A411yescharacteristic
212C2×Dic6—32no—
213C2×Dic6—31no—
214C2×Dic6—31no—
215C2×Dic6—31no—
216C2×Dic6—62no—
217C2×Dic6—62no—
218C2×Dic6—62no—
219C2×Dic6—62no—
220C2×Dic6—62no—
221C2×Dic6—62no—
222C2×Dic6—62no—
223C2×Dic6—62no—
224C2×Dic6C2×A411yescharacteristic, complemented
225C4×A4—21no—
226C4×A4—21no—
227C4×A4—32no—
228C4×A4—41no—
229C4×A4—41no—
230C4×A4—61no—
231C4×A4—61no—
232C4×A4—61no—
233C3×C4⋊C4—121no—
234C3×C4⋊C4—121no—
235C3×C4⋊C4—121no—
236C3×C22⋊C4—32no—
237C3×C22⋊C4—31no—
238C3×C22⋊C4—31no—
239C3×C22⋊C4—31no—
240C3×C22⋊C4—41no—
241C3×C22⋊C4—81no—
242C3×C22⋊C4—121no—
243C3×C22⋊C4C2×A411yescharacteristic
244#217—32no—
245#217—31no—
246#217—31no—
247#217—31no—
248#217C2×A411yescharacteristic
249C4⋊Dic3—32no—
250C4⋊Dic3—31no—
251C4⋊Dic3—31no—
252C4⋊Dic3—31no—
253C4⋊Dic3C2×A411yescharacteristic, complemented
254Dic3⋊C4—32no—
255Dic3⋊C4—32no—
256Dic3⋊C4—31no—
257Dic3⋊C4—31no—
258Dic3⋊C4—31no—
259Dic3⋊C4—31no—
260Dic3⋊C4—31no—
261Dic3⋊C4—31no—
262Dic3⋊C4C2×A411yescharacteristic, complemented
263Dic3⋊C4C2×A411yescharacteristic, complemented
264C22×C32—42no—
265C22×C32—41no—
266C22×C32—81no—
267C22×C32—81no—
268C3×A4C22⋊Q811yescharacteristic, complemented
269C32×C4—81no—
270C32×C4—81no—
271C3×Dic3—42no—
272C3×Dic3—81no—
273C3×Dic3—81no—
274C3×Dic3—81no—
275C25C2×C3×D311yescharacteristic
276C22×Q8—62no—
277C22×Q8—91no—
278C22×Q8—91no—
279C22×Q8—91no—
280C22×Q8—91no—
281C22×Q8—182no—
282C23×C4—31no—
283C23×C4—31no—
284C23×C4—31no—
285C23×C4—31no—
286C23×C4—62no—
287C23×C4—91no—
288C23×C4—91no—
289C23×C4—91no—
290C23×C4—91no—
291C23×C4—182no—
292C23×C4C2×C3×D311yescharacteristic
293C23×C4C2×C3×D311yescharacteristic
294C22⋊Q8—31no—
295C22⋊Q8—91no—
296C22⋊Q8—91no—
297C22⋊Q8—91no—
298C22⋊Q8—91no—
299C22⋊Q8—91no—
300C22⋊Q8—91no—
301C22⋊Q8—92no—
302C22⋊Q8—92no—
303C22⋊Q8—92no—
304C22⋊Q8—92no—
305C22⋊Q8—92no—
306C22⋊Q8—92no—
307C22⋊Q8—92no—
308C22⋊Q8—91no—
309C2×C4⋊C4—91no—
310C2×C4⋊C4—91no—
311C2×C4⋊C4—91no—
312C2×C4⋊C4—91no—
313C2×C4⋊C4—91no—
314C2×C4⋊C4—91no—
315C2×C4⋊C4—91no—
316C2×C4⋊C4—91no—
317C2×C4⋊C4—91no—
318C2×C4⋊C4—91no—
319C2×C4⋊C4—91no—
320C2×C4⋊C4—91no—
321C2×C22⋊C4—31no—
322C2×C22⋊C4—31no—
323C2×C22⋊C4—31no—
324C2×C22⋊C4—31no—
325C2×C22⋊C4—91no—
326C2×C22⋊C4—91no—
327C2×C22⋊C4—91no—
328C2×C22⋊C4—91no—
329C23×C3—22no—
330C23×C3—31no—
331C23×C3—31no—
332C23×C3—31no—
333C23×C3—31no—
334C23×C3—32no—
335C23×C3—32no—
336C23×C3—32no—
337C23×C3—32no—
338C23×C3—31no—
339C23×C3—41no—
340C23×C3—61no—
341C23×C3—61no—
342C23×C3—61no—
343C23×C3—61no—
344C23×C3—62no—
345C23×C3—61no—
346C23×C3—61no—
347C23×C3—62no—
348C23×C3—62no—
349C23×C3—61no—
350C23×C3—61no—
351C23×C3—64no—
352C23×C3—81no—
353C23×C3C2×C3×D411yescharacteristic
354C23×C3C2×C3×Q811yescharacteristic
355C23×C3C3×#4111yescharacteristic
356C23×C3C22×A411yescharacteristic
357C2×A4—22no—
358C2×A4—21no—
359C2×A4—21no—
360C2×A4—21no—
361C2×A4—42no—
362C2×A4C2×Dic611yescharacteristic
363C2×A4D3×D411yescharacteristic
364C2×A4#23711yescharacteristic
365C3×Q8—242no—
366C2×C3×C4—31no—
367C2×C3×C4—31no—
368C2×C3×C4—41no—
369C2×C3×C4—41no—
370C2×C3×C4—61no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—61no—
378C2×C3×C4—81no—
379C2×C3×C4—81no—
380C2×C3×C4—121no—
381C2×C3×C4—121no—
382C2×C3×C4—121no—
383C2×C3×C4—121no—
384C2×C3×C4—242no—
385C2×C3×C4C22×A411yescharacteristic
386C2×C3×C4C22×A411yescharacteristic
387C2×Dic3—22no—
388C2×Dic3—32no—
389C2×Dic3—31no—
390C2×Dic3—32no—
391C2×Dic3—32no—
392C2×Dic3—32no—
393C2×Dic3—31no—
394C2×Dic3—31no—
395C2×Dic3—31no—
396C2×Dic3—62no—
397C2×Dic3—61no—
398C2×Dic3—61no—
399C2×Dic3—61no—
400C2×Dic3—61no—
401C2×Dic3—61no—
402C2×Dic3—61no—
403C2×Dic3—62no—
404C2×Dic3—64no—
405C2×Dic3—62no—
406C2×Dic3—61no—
407C2×Dic3—61no—
408C2×Dic3—61no—
409C2×Dic3—61no—
410C2×Dic3—61no—
411C2×Dic3—61no—
412C2×Dic3C22×A411yescharacteristic
413C2×Dic3C22×A411yescharacteristic
414C2×Dic3C22×A411yescharacteristic
415C2×Dic3C22×A411yescharacteristic
416Dic6—22no—
417Dic6—62no—
418Dic6—62no—
419Dic6—64no—
420Dic6—62no—
421C2×C32—41no—
422C2×C32—41no—
423C2×C32—41no—
424C2×C32—82no—
425C24—21no—
426C24—21no—
427C24—31no—
428C24—32no—
429C24—31no—
430C24—61no—
431C24—61no—
432C24C3×Dic612yescomplemented
433C24C22×C3×D311yescharacteristic
434C2×Q8—31no—
435C2×Q8—91no—
436C2×Q8—91no—
437C2×Q8—92no—
438C2×Q8—91no—
439C2×Q8—182no—
440C2×Q8—182no—
441C2×Q8—182no—
442C2×Q8—182no—
443C2×Q8—182no—
444C2×Q8—182no—
445C2×Q8—182no—
446C2×Q8—182no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—31no—
450C22×C4—31no—
451C22×C4—31no—
452C22×C4—31no—
453C22×C4—31no—
454C22×C4—32no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—61no—
458C22×C4—61no—
459C22×C4—61no—
460C22×C4—91no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—91no—
464C22×C4—91no—
465C22×C4—91no—
466C22×C4—91no—
467C22×C4—92no—
468C22×C4—92no—
469C22×C4—91no—
470C22×C4—91no—
471C22×C4—91no—
472C22×C4—91no—
473C22×C4—182no—
474C22×C4—182no—
475C22×C4—182no—
476C22×C4—182no—
477C22×C4—182no—
478C22×C4—182no—
479C22×C4—182no—
480C22×C4—182no—
481C22×C4—181no—
482C22×C4—181no—
483C22×C4—181no—
484C4⋊C4—31no—
485C4⋊C4—31no—
486C4⋊C4—31no—
487C4⋊C4—91no—
488C4⋊C4—91no—
489C4⋊C4—91no—
490C4⋊C4—91no—
491C4⋊C4—91no—
492C4⋊C4—91no—
493C4⋊C4—92no—
494C4⋊C4—92no—
495C4⋊C4—92no—
496C4⋊C4—91no—
497C4⋊C4—91no—
498C4⋊C4—91no—
499C22⋊C4—32no—
500C22⋊C4—31no—
501C22⋊C4—31no—
502C22⋊C4—31no—
503C22⋊C4—31no—
504C22⋊C4—91no—
505C22⋊C4—91no—
506C22⋊C4—92no—
507C22⋊C4—91no—
508C22⋊C4D3×A411yescharacteristic
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—31no—
512C22×C3—31no—
513C22×C3—31no—
514C22×C3—32no—
515C22×C3—31no—
516C22×C3—31no—
517C22×C3—31no—
518C22×C3—31no—
519C22×C3—31no—
520C22×C3—31no—
521C22×C3—32no—
522C22×C3—42no—
523C22×C3—41no—
524C22×C3—62no—
525C22×C3—62no—
526C22×C3—62no—
527C22×C3—62no—
528C22×C3—62no—
529C22×C3—62no—
530C22×C3—62no—
531C22×C3—62no—
532C22×C3—61no—
533C22×C3—61no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3—82no—
537C22×C3—81no—
538C22×C3—161no—
539C22×C3—161no—
540C22×C3C3×C22⋊Q811yescharacteristic, complemented
541C22×C3Q8×A412yescomplemented
542C22×C3C23×A411yescharacteristic
543A4—21no—
544A4#87811yescharacteristic, direct product factor
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—61no—
548C3×C4—61no—
549C3×C4—81no—
550C3×C4—81no—
551C3×C4—122no—
552C3×C4—161no—
553C3×C4—161no—
554C3×C4—241no—
555C3×C4—241no—
556C3×C4—241no—
557Dic3—21no—
558Dic3—21no—
559Dic3—21no—
560Dic3—32no—
561Dic3—61no—
562Dic3—61no—
563Dic3—61no—
564Dic3D4×A412yes—
565C32—41noSylow
566C23—22no—
567C23—31no—
568C23—31no—
569C23—31no—
570C23—31no—
571C23—32no—
572C23—32no—
573C23—32no—
574C23—32no—
575C23—31no—
576C23—61no—
577C23—61no—
578C23—61no—
579C23—61no—
580C23—62no—
581C23—61no—
582C23—61no—
583C23—62no—
584C23—62no—
585C23—61no—
586C23—61no—
587C23—64no—
588C23C2×C3×Dic611yescharacteristic
589C23C3×D3×D411yescharacteristic
590C23C3×#23711yescharacteristic
591C23C2×D3×A411yescharacteristic
592Q8—62no—
593Q8—182no—
594Q8—182no—
595Q8—182no—
596Q8—184no—
597C2×C4—31no—
598C2×C4—31no—
599C2×C4—31no—
600C2×C4—31no—
601C2×C4—31no—
602C2×C4—31no—
603C2×C4—61no—
604C2×C4—61no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—62no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—61no—
611C2×C4—61no—
612C2×C4—92no—
613C2×C4—92no—
614C2×C4—92no—
615C2×C4—91no—
616C2×C4—92no—
617C2×C4—91no—
618C2×C4—91no—
619C2×C4—91no—
620C2×C4—182no—
621C2×C4—182no—
622C2×C4—181no—
623C2×C4—181no—
624C2×C4—181no—
625C2×C4—181no—
626C2×C4—181no—
627C2×C4—181no—
628C2×C4—182no—
629C2×C4—184no—
630C2×C4—181no—
631C2×C4—181no—
632C2×C4—181no—
633C2×C4—181no—
634C2×C4—181no—
635C2×C4—181no—
636C2×C4C2×D3×A411yescharacteristic
637C2×C4C2×D3×A411yescharacteristic
638C2×C3—22no—
639C2×C3—31no—
640C2×C3—31no—
641C2×C3—31no—
642C2×C3—31no—
643C2×C3—41no—
644C2×C3—41no—
645C2×C3—41no—
646C2×C3—62no—
647C2×C3—82no—
648C2×C3—81no—
649C2×C3—81no—
650C2×C3—81no—
651C2×C3—162no—
652C2×C3C2×D4×A411yescharacteristic
653C2×C3C2×Q8×A411yescharacteristic
654C2×C3A4×#4111yescharacteristic
655C22—21no—
656C22—21no—
657C22—31no—
658C22—31no—
659C22—31no—
660C22—32no—
661C22—31no—
662C22—31no—
663C22—31no—
664C22—31no—
665C22—31no—
666C22—31no—
667C22—32no—
668C22—62no—
669C22—62no—
670C22—62no—
671C22—62no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—62no—
676C22—61no—
677C22—61no—
678C22C3×#87811yescharacteristic, complemented
679C22A4×Dic612yescomplemented
680C22C22×D3×A411yescharacteristic
681C4—21no—
682C4—21no—
683C4—32no—
684C4—61no—
685C4—61no—
686C4—61no—
687C4—61no—
688C4—61no—
689C4—92no—
690C4—181no—
691C4—181no—
692C4—181no—
693C3—41no—
694C3—81no—
695C3A4×C22⋊Q811yescharacteristic, complemented
696C2—22no—
697C2—31no—
698C2—31no—
699C2—31no—
700C2—31no—
701C2—62no—
702C2C2×A4×Dic611yescharacteristic
703C2D3×D4×A411yescharacteristic
704C2A4×#23711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×A4
commutator, socle, cosocleC24×C3C23×C3
FittingC22×C3×C22⋊C4C2×C3
prime radicalC23×C3×A4C22
hypercenterC22⋊C4D3×A4
hypocenterC22×C3C3×C22⋊Q8
LCSG ▷ C24×C3 ▷ C22×C3
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×A4×Dic6C2semidirect
5. A4×C4⋊Dic3C2semidirect
6. A4×Dic3⋊C4C2semidirect
7. A4×Dic3⋊C4C2semidirect
8. C22×#878C3semidirect
21. C23×Dic6C2×C3semidirect
26. C22×C4⋊Dic3C2×C3semidirect
27. C22×Dic3⋊C4C2×C3semidirect
28. C22×Dic3⋊C4C2×C3semidirect
45. C22×C3×A4Q8semidirect
127. #878A4direct (N × H)
163. C24×C3C3×Q8semidirect
171. C22×A4Dic6semidirect
224. C2×Dic6C2×A4semidirect
253. C4⋊Dic3C2×A4semidirect
262. Dic3⋊C4C2×A4semidirect
263. Dic3⋊C4C2×A4semidirect
268. C3×A4C22⋊Q8semidirect
432. C24C3×Dic6semidirect
540. C22×C3C3×C22⋊Q8semidirect
541. C22×C3Q8×A4semidirect
544. A4#878direct (N × H)
678. C22C3×#878semidirect
679. C22A4×Dic6semidirect
695. C3A4×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C22×Dic3×A42
C2×A4×Dic62
C3×A4×C22⋊C42
A4×#2172
A4×C4⋊Dic32
A4×Dic3⋊C42
C22×#8783
A4×C22⋊Q83
C3×#8784