Finite Group Databasebeta

← A4×#883 #11923157

Subgroups — A4×#883 #11923157

Order 1152.

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

normal subgroups only

This group has 950 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×#67C211yesmaximal, characteristic
2C2×C4×D3×A4C211yesmaximal, characteristic, complemented
3C3×A4×C22⋊C4C211yesmaximal, characteristic, complemented
4A4×#217C211yesmaximal, characteristic, complemented
5A4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6A4×C4⋊Dic3C211yesmaximal, characteristic, complemented
7A4×Dic3⋊C4C211yesmaximal, characteristic, complemented
8C22×#883C311yesmaximal, characteristic, complemented
9A4×#123—31nomaximal
10C23×C3×A4C2211yescharacteristic
11C22×D3×A4C2211yescharacteristic
12C2×C3×C4×A4C2211yescharacteristic
13C2×C3×C4×A4C2211yescharacteristic
14A4×#67—22no—
15C2×Dic3×A4C2211yescharacteristic
16C2×Dic3×A4C2211yescharacteristic
17C2×Dic3×A4C2211yescharacteristic
18C4×D3×A4—22no—
19C3×#883—41nomaximal
20C23×#67C2×C311yescharacteristic
21C23×C4×D3C2×C311yescharacteristic, complemented
22C2×D4×A4—31no—
23C22×C4×A4—31no—
24C22×C3×C22⋊C4C2×C311yescharacteristic, complemented
25C22×#217C2×C311yescharacteristic, complemented
26C22×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
27C22×C4⋊Dic3C2×C311yescharacteristic, complemented
28C22×Dic3⋊C4C2×C311yescharacteristic, complemented
29C2×#883—31no—
30C2×#883—31no—
31C2×#883—31no—
32C2×#883—31no—
33C2×#883—31no—
34C2×#883—31no—
35C2×#883—31no—
36C2×#883—31no—
37A4×C4⋊C4—31no—
38A4×C4⋊C4—31no—
39A4×C22⋊C4—21no—
40A4×C22⋊C4—31no—
41A4×C22⋊C4—31no—
42A4×C22⋊C4D311yescharacteristic, complemented
43C22×C3×A4—21no—
44C22×C3×A4—21no—
45C22×C3×A4—21no—
46C22×C3×A4C2311yescharacteristic
47C2×D3×A4—21no—
48C2×D3×A4—21no—
49C2×D3×A4D412yes—
50C2×C3×#67—41no—
51C2×C3×C4×D3—41no—
52C3×C4×A4—21no—
53C3×C4×A4—21no—
54Dic3×A4—21no—
55Dic3×A4—21no—
56Dic3×A4—21no—
57C32×C22⋊C4—41no—
58C3×#217—41no—
59C3×(C2×D3)⋊C4—41no—
60C3×C4⋊Dic3—41no—
61C3×Dic3⋊C4—41no—
62C22×#123—31noSylow
63C25×C3C22×C311yescharacteristic
64C24×D3C22×C311yescharacteristic
65C23×A4—21no—
66C23×A4—31no—
67C23×A4C2×D311yescharacteristic
68C23×C3×C4C22×C311yescharacteristic
69C23×C3×C4C22×C311yescharacteristic
70C22×#67—22no—
71C22×#67—31no—
72C22×#67—31no—
73C22×#67—31no—
74C22×#67—31no—
75C22×#67—62no—
76C23×Dic3C22×C311yescharacteristic
77C23×Dic3C22×C311yescharacteristic
78C23×Dic3C22×C311yescharacteristic
79C22×C4×D3—22no—
80C22×C4×D3—31no—
81C22×C4×D3—31no—
82C22×C4×D3—31no—
83C22×C4×D3—31no—
84C22×C4×D3—62no—
85D4×A4—62no—
86C2×C4×A4—21no—
87C2×C4×A4—21no—
88C2×C4×A4—31no—
89C2×C4×A4—31no—
90C2×C4×A4—31no—
91C2×C4×A4—62no—
92C2×C4×A4C2×D311yescharacteristic
93C2×C4×A4C2×D311yescharacteristic
94C3×#123—121no—
95C2×C3×C22⋊C4—31no—
96C2×C3×C22⋊C4—31no—
97C2×C3×C22⋊C4—31no—
98C2×C3×C22⋊C4—31no—
99C2×#217—31no—
100C2×#217—31no—
101C2×#217—31no—
102C2×#217—31no—
103C2×(C2×D3)⋊C4—31no—
104C2×(C2×D3)⋊C4—31no—
105C2×(C2×D3)⋊C4—31no—
106C2×(C2×D3)⋊C4—31no—
107C2×C4⋊Dic3—31no—
108C2×C4⋊Dic3—31no—
109C2×C4⋊Dic3—31no—
110C2×C4⋊Dic3—31no—
111C2×Dic3⋊C4—31no—
112C2×Dic3⋊C4—31no—
113C2×Dic3⋊C4—31no—
114C2×Dic3⋊C4—31no—
115#883—32no—
116#883—32no—
117#883—32no—
118#883—32no—
119#883—32no—
120#883—32no—
121#883—32no—
122#883—31no—
123#883—31no—
124#883—31no—
125#883—31no—
126#883—31no—
127#883—31no—
128#883—31no—
129#883A411yescharacteristic, direct product factor
130C23×C32—41no—
131C22×C3×D3—41no—
132C2×C3×A4—41no—
133C2×C3×A4C2×D411yescharacteristic
134C2×C3×A4#4111yescharacteristic
135C2×C3×A4#4111yescharacteristic
136D3×A4—22no—
137C2×C32×C4—41no—
138C2×C32×C4—41no—
139C3×#67—82no—
140C2×C3×Dic3—41no—
141C2×C3×Dic3—41no—
142C2×C3×Dic3—41no—
143C3×C4×D3—82no—
144C23×D4—31no—
145C24×C4—31no—
146C2×#123—91no—
147C2×#123—91no—
148C2×#123—91no—
149C2×#123—91no—
150C2×#123—91no—
151C2×#123—91no—
152C2×#123—91no—
153C2×#123—91no—
154C22×C4⋊C4—31no—
155C22×C4⋊C4—31no—
156C22×C22⋊C4—31no—
157C22×C22⋊C4—31no—
158C22×C22⋊C4C3×D311yescharacteristic, complemented
159C24×C3—21no—
160C24×C3—21no—
161C24×C3—21no—
162C24×C3—31no—
163C24×C3—31no—
164C24×C3—61no—
165C24×C3—61no—
166C24×C3—61no—
167C24×C3C23×C311yescharacteristic
168C23×D3—21no—
169C23×D3—21no—
170C23×D3—31no—
171C23×D3—31no—
172C23×D3—32no—
173C23×D3—61no—
174C23×D3—61no—
175C23×D3C3×D412yes—
176C22×A4—22no—
177C22×A4—21no—
178C22×A4—21no—
179C22×A4—21no—
180C22×A4—21no—
181C22×A4—32no—
182C22×A4—41no—
183C22×A4—41no—
184C22×A4—61no—
185C22×A4—61no—
186C22×A4C22×D311yescharacteristic
187C2×C3×D4—121no—
188C22×C3×C4—21no—
189C22×C3×C4—21no—
190C22×C3×C4—31no—
191C22×C3×C4—31no—
192C22×C3×C4—31no—
193C22×C3×C4—31no—
194C22×C3×C4—61no—
195C22×C3×C4—61no—
196C22×C3×C4—121no—
197C2×#67—32no—
198C2×#67—31no—
199C2×#67—31no—
200C2×#67—31no—
201C2×#67—62no—
202C2×#67—62no—
203C2×#67—62no—
204C2×#67—62no—
205C2×#67—62no—
206C2×#67—62no—
207C2×#67—62no—
208C2×#67—62no—
209C2×#67C2×A411yescharacteristic
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—21no—
213C22×Dic3—31no—
214C22×Dic3—31no—
215C22×Dic3—31no—
216C22×Dic3—31no—
217C22×Dic3—31no—
218C22×Dic3—31no—
219C22×Dic3—61no—
220C22×Dic3—61no—
221C22×Dic3—61no—
222C2×C4×D3—32no—
223C2×C4×D3—31no—
224C2×C4×D3—31no—
225C2×C4×D3—31no—
226C2×C4×D3—62no—
227C2×C4×D3—62no—
228C2×C4×D3—62no—
229C2×C4×D3—62no—
230C2×C4×D3—62no—
231C2×C4×D3—62no—
232C2×C4×D3—62no—
233C2×C4×D3—62no—
234C2×C4×D3C2×A411yescharacteristic, complemented
235C4×A4—21no—
236C4×A4—21no—
237C4×A4—41no—
238C4×A4—41no—
239C4×A4—61no—
240C4×A4—61no—
241C4×A4—61no—
242C3×C4⋊C4—121no—
243C3×C4⋊C4—121no—
244C3×C22⋊C4—32no—
245C3×C22⋊C4—31no—
246C3×C22⋊C4—31no—
247C3×C22⋊C4—31no—
248C3×C22⋊C4—41no—
249C3×C22⋊C4—81no—
250C3×C22⋊C4—121no—
251C3×C22⋊C4—121no—
252C3×C22⋊C4C2×A411yescharacteristic, complemented
253#217—32no—
254#217—31no—
255#217—31no—
256#217—31no—
257#217C2×A411yescharacteristic, complemented
258(C2×D3)⋊C4—32no—
259(C2×D3)⋊C4—31no—
260(C2×D3)⋊C4—31no—
261(C2×D3)⋊C4—31no—
262(C2×D3)⋊C4C2×A411yescharacteristic, complemented
263C4⋊Dic3—32no—
264C4⋊Dic3—31no—
265C4⋊Dic3—31no—
266C4⋊Dic3—31no—
267C4⋊Dic3C2×A411yescharacteristic, complemented
268Dic3⋊C4—32no—
269Dic3⋊C4—31no—
270Dic3⋊C4—31no—
271Dic3⋊C4—31no—
272Dic3⋊C4C2×A411yescharacteristic, complemented
273C22×C32—41no—
274C22×C32—81no—
275C22×C32—81no—
276C22×C32—81no—
277C2×C3×D3—42no—
278C2×C3×D3—81no—
279C2×C3×D3—81no—
280C3×A4#12311yescharacteristic, complemented
281C32×C4—81no—
282C32×C4—81no—
283C3×Dic3—81no—
284C3×Dic3—81no—
285C3×Dic3—81no—
286C25—31no—
287C25C2×C3×D311yescharacteristic
288C22×D4—62no—
289C22×D4—91no—
290C22×D4—91no—
291C22×D4—91no—
292C22×D4—91no—
293C22×D4—182no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—62no—
298C23×C4—91no—
299C23×C4—91no—
300C23×C4—91no—
301C23×C4—91no—
302C23×C4—182no—
303C23×C4C2×C3×D311yescharacteristic
304C23×C4C2×C3×D311yescharacteristic
305#123—31no—
306#123—91no—
307#123—91no—
308#123—91no—
309#123—91no—
310#123—91no—
311#123—91no—
312#123—92no—
313#123—92no—
314#123—92no—
315#123—92no—
316#123—92no—
317#123—92no—
318#123—92no—
319#123—91no—
320C2×C4⋊C4—91no—
321C2×C4⋊C4—91no—
322C2×C4⋊C4—91no—
323C2×C4⋊C4—91no—
324C2×C4⋊C4—91no—
325C2×C4⋊C4—91no—
326C2×C4⋊C4—91no—
327C2×C4⋊C4—91no—
328C2×C22⋊C4—31no—
329C2×C22⋊C4—31no—
330C2×C22⋊C4—31no—
331C2×C22⋊C4—31no—
332C2×C22⋊C4—91no—
333C2×C22⋊C4—91no—
334C2×C22⋊C4—91no—
335C2×C22⋊C4—91no—
336C2×C22⋊C4—91no—
337C2×C22⋊C4—91no—
338C2×C22⋊C4—91no—
339C2×C22⋊C4—91no—
340C23×C3—31no—
341C23×C3—31no—
342C23×C3—31no—
343C23×C3—31no—
344C23×C3—31no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—61no—
348C23×C3—61no—
349C23×C3—61no—
350C23×C3—61no—
351C23×C3—61no—
352C23×C3—61no—
353C23×C3—61no—
354C23×C3—61no—
355C23×C3—61no—
356C23×C3—61no—
357C23×C3—61no—
358C23×C3—61no—
359C23×C3—81no—
360C23×C3—121no—
361C23×C3—121no—
362C23×C3—121no—
363C23×C3—121no—
364C23×C3—122no—
365C23×C3C2×C3×D411yescharacteristic
366C23×C3C3×#4111yescharacteristic
367C23×C3C3×#4111yescharacteristic
368C23×C3C22×A411yescharacteristic
369C22×D3—22no—
370C22×D3—32no—
371C22×D3—31no—
372C22×D3—32no—
373C22×D3—32no—
374C22×D3—32no—
375C22×D3—61no—
376C22×D3—61no—
377C22×D3—61no—
378C22×D3—61no—
379C22×D3—64no—
380C22×D3—62no—
381C22×D3—62no—
382C22×D3—61no—
383C22×D3—61no—
384C22×D3—61no—
385C22×D3—61no—
386C22×D3—62no—
387C22×D3C22×A411yescharacteristic
388C2×A4—21no—
389C2×A4—21no—
390C2×A4—21no—
391C2×A4—42no—
392C2×A4—41no—
393C2×A4—62no—
394C2×A4#23511yescharacteristic
395C2×A4D3×D411yescharacteristic
396C2×A4#23711yescharacteristic
397C3×D4—242no—
398C2×C3×C4—31no—
399C2×C3×C4—31no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—61no—
403C2×C3×C4—61no—
404C2×C3×C4—61no—
405C2×C3×C4—61no—
406C2×C3×C4—61no—
407C2×C3×C4—61no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—81no—
411C2×C3×C4—81no—
412C2×C3×C4—121no—
413C2×C3×C4—121no—
414C2×C3×C4—121no—
415C2×C3×C4—242no—
416C2×C3×C4C22×A411yescharacteristic
417C2×C3×C4C22×A411yescharacteristic
418#67—22no—
419#67—62no—
420#67—62no—
421#67—64no—
422#67—62no—
423C2×Dic3—31no—
424C2×Dic3—31no—
425C2×Dic3—31no—
426C2×Dic3—61no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C2×Dic3—61no—
430C2×Dic3—61no—
431C2×Dic3—61no—
432C2×Dic3—61no—
433C2×Dic3—61no—
434C2×Dic3—61no—
435C2×Dic3—61no—
436C2×Dic3—61no—
437C2×Dic3—61no—
438C2×Dic3C22×A411yescharacteristic
439C2×Dic3C22×A411yescharacteristic
440C2×Dic3C22×A411yescharacteristic
441C4×D3—22no—
442C4×D3—62no—
443C4×D3—62no—
444C4×D3—64no—
445C4×D3—62no—
446C2×C32—41no—
447C2×C32—41no—
448C2×C32—41no—
449C2×C32—161no—
450C3×D3—82no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—31no—
455C24—31no—
456C24—32no—
457C24—61no—
458C24—61no—
459C24—61no—
460C24—61no—
461C24—61no—
462C24—91no—
463C24—91no—
464C24—92no—
465C24—181no—
466C24—181no—
467C24C22×C3×D311yescharacteristic
468C2×D4—31no—
469C2×D4—91no—
470C2×D4—91no—
471C2×D4—92no—
472C2×D4—91no—
473C2×D4—182no—
474C2×D4—182no—
475C2×D4—182no—
476C2×D4—182no—
477C2×D4—182no—
478C2×D4—182no—
479C2×D4—182no—
480C2×D4—182no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—91no—
497C22×C4—91no—
498C22×C4—92no—
499C22×C4—91no—
500C22×C4—91no—
501C22×C4—91no—
502C22×C4—91no—
503C22×C4—182no—
504C22×C4—182no—
505C22×C4—182no—
506C22×C4—182no—
507C22×C4—182no—
508C22×C4—182no—
509C22×C4—182no—
510C22×C4—182no—
511C22×C4—181no—
512C22×C4—181no—
513C22×C4—181no—
514C4⋊C4—31no—
515C4⋊C4—31no—
516C4⋊C4—91no—
517C4⋊C4—91no—
518C4⋊C4—91no—
519C4⋊C4—91no—
520C4⋊C4—92no—
521C4⋊C4—92no—
522C4⋊C4—91no—
523C4⋊C4—91no—
524C22⋊C4—32no—
525C22⋊C4—31no—
526C22⋊C4—31no—
527C22⋊C4—31no—
528C22⋊C4—31no—
529C22⋊C4—31no—
530C22⋊C4—91no—
531C22⋊C4—91no—
532C22⋊C4—91no—
533C22⋊C4—91no—
534C22⋊C4—92no—
535C22⋊C4—92no—
536C22⋊C4—91no—
537C22⋊C4—91no—
538C22⋊C4D3×A411yescharacteristic, complemented
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—31no—
543C22×C3—31no—
544C22×C3—31no—
545C22×C3—32no—
546C22×C3—31no—
547C22×C3—31no—
548C22×C3—31no—
549C22×C3—31no—
550C22×C3—31no—
551C22×C3—31no—
552C22×C3—41no—
553C22×C3—61no—
554C22×C3—61no—
555C22×C3—61no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3—82no—
560C22×C3—81no—
561C22×C3—122no—
562C22×C3—121no—
563C22×C3—121no—
564C22×C3—121no—
565C22×C3—121no—
566C22×C3—121no—
567C22×C3—121no—
568C22×C3—121no—
569C22×C3—121no—
570C22×C3—161no—
571C22×C3—161no—
572C22×C3—241no—
573C22×C3—241no—
574C22×C3C3×#12311yescharacteristic, complemented
575C22×C3C23×A411yescharacteristic
576C2×D3—21no—
577C2×D3—21no—
578C2×D3—32no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—61no—
586C2×D3—61no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3D4×A412yes—
590A4—21no—
591A4#88311yescharacteristic, direct product factor
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—61no—
595C3×C4—61no—
596C3×C4—81no—
597C3×C4—81no—
598C3×C4—161no—
599C3×C4—161no—
600C3×C4—241no—
601C3×C4—241no—
602C3×C4—241no—
603Dic3—21no—
604Dic3—21no—
605Dic3—21no—
606Dic3—61no—
607Dic3—61no—
608Dic3—61no—
609C32—41noSylow
610C23—31no—
611C23—31no—
612C23—31no—
613C23—31no—
614C23—31no—
615C23—31no—
616C23—41no—
617C23—61no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23—61no—
625C23—61no—
626C23—61no—
627C23—61no—
628C23—61no—
629C23—62no—
630C23—92no—
631C23—92no—
632C23—92no—
633C23—92no—
634C23—91no—
635C23—121no—
636C23—121no—
637C23—121no—
638C23—122no—
639C23—181no—
640C23—181no—
641C23—181no—
642C23—181no—
643C23—182no—
644C23—182no—
645C23—182no—
646C23—181no—
647C23—181no—
648C23—181no—
649C23—181no—
650C23—184no—
651C23C3×#23511yescharacteristic
652C23C3×D3×D411yescharacteristic
653C23C3×#23711yescharacteristic
654C23C2×D3×A411yescharacteristic
655D4—62no—
656D4—182no—
657D4—182no—
658D4—182no—
659D4—184no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—91no—
675C2×C4—91no—
676C2×C4—91no—
677C2×C4—182no—
678C2×C4—182no—
679C2×C4—181no—
680C2×C4—181no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4—182no—
684C2×C4—181no—
685C2×C4—181no—
686C2×C4—184no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4C2×D3×A411yescharacteristic
694C2×C4C2×D3×A411yescharacteristic
695C2×C3—31no—
696C2×C3—31no—
697C2×C3—31no—
698C2×C3—31no—
699C2×C3—41no—
700C2×C3—41no—
701C2×C3—41no—
702C2×C3—41no—
703C2×C3—81no—
704C2×C3—81no—
705C2×C3—81no—
706C2×C3—121no—
707C2×C3—161no—
708C2×C3—162no—
709C2×C3—242no—
710C2×C3C2×D4×A411yescharacteristic
711C2×C3A4×#4111yescharacteristic
712C2×C3A4×#4111yescharacteristic
713D3—22no—
714D3—62no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—31no—
719C22—31no—
720C22—31no—
721C22—32no—
722C22—31no—
723C22—31no—
724C22—31no—
725C22—31no—
726C22—31no—
727C22—31no—
728C22—32no—
729C22—61no—
730C22—61no—
731C22—61no—
732C22—61no—
733C22—61no—
734C22—92no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—182no—
744C22—182no—
745C22—182no—
746C22—182no—
747C22—182no—
748C22—182no—
749C22—182no—
750C22—182no—
751C22—181no—
752C22—181no—
753C22C3×#88311yescharacteristic, complemented
754C22C22×D3×A411yescharacteristic
755C4—21no—
756C4—21no—
757C4—61no—
758C4—61no—
759C4—61no—
760C4—61no—
761C4—61no—
762C4—181no—
763C4—181no—
764C4—181no—
765C3—41no—
766C3—81no—
767C3A4×#12311yescharacteristic, complemented
768C2—31no—
769C2—31no—
770C2—31no—
771C2—31no—
772C2—41no—
773C2—62no—
774C2—121no—
775C2—182no—
776C2A4×#23511yescharacteristic
777C2D3×D4×A411yescharacteristic
778C2A4×#23711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×A4
commutator, socle, cosocleC24×C3C23×C3
FittingC22×C3×C22⋊C4C2×C3
prime radicalC2×A4×#67C2
hypercenterC22⋊C4D3×A4
hypocenterC22×C3C3×#123
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×C4×D3×A4C2semidirect
3. C3×A4×C22⋊C4C2semidirect
4. A4×#217C2semidirect
5. A4×(C2×D3)⋊C4C2semidirect
6. A4×C4⋊Dic3C2semidirect
7. A4×Dic3⋊C4C2semidirect
8. C22×#883C3semidirect
21. C23×C4×D3C2×C3semidirect
24. C22×C3×C22⋊C4C2×C3semidirect
25. C22×#217C2×C3semidirect
26. C22×(C2×D3)⋊C4C2×C3semidirect
27. C22×C4⋊Dic3C2×C3semidirect
28. C22×Dic3⋊C4C2×C3semidirect
42. A4×C22⋊C4D3semidirect
129. #883A4direct (N × H)
158. C22×C22⋊C4C3×D3semidirect
234. C2×C4×D3C2×A4semidirect
252. C3×C22⋊C4C2×A4semidirect
257. #217C2×A4semidirect
262. (C2×D3)⋊C4C2×A4semidirect
267. C4⋊Dic3C2×A4semidirect
272. Dic3⋊C4C2×A4semidirect
280. C3×A4#123semidirect
538. C22⋊C4D3×A4semidirect
574. C22×C3C3×#123semidirect
591. A4#883direct (N × H)
753. C22C3×#883semidirect
767. C3A4×#123semidirect

Maximal subgroups

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

subgroupindex
C2×A4×#672
C2×C4×D3×A42
C3×A4×C22⋊C42
A4×#2172
A4×(C2×D3)⋊C42
A4×C4⋊Dic32
A4×Dic3⋊C42
C22×#8833
A4×#1233
C3×#8834