Finite Group Databasebeta

← A4×#885 #11923152

Subgroups — A4×#885 #11923152

Order 1152.

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

normal subgroups only

This group has 914 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×A4×Dic6C211yesmaximal, characteristic, complemented
3C3×A4×C22⋊C4C211yesmaximal, characteristic, complemented
4A4×#217C211yesmaximal, characteristic, complemented
5A4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6A4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C4×Dic3×A4C211yesmaximal, characteristic, complemented
8C22×#885C311yesmaximal, characteristic, complemented
9A4×#124—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
18A4×Dic6—22no—
19C3×#885—41nomaximal
20C23×#67C2×C311yescharacteristic
21C23×Dic6C2×C311yescharacteristic, complemented
22C2×Q8×A4—31no—
23C2×D4×A4—31no—
24C22×C3×C22⋊C4C2×C311yescharacteristic, complemented
25C22×#217C2×C311yescharacteristic, complemented
26C22×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
27C22×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
28C22×C4×Dic3C2×C311yescharacteristic, complemented
29C2×#885—31no—
30C2×#885—31no—
31C2×#885—31no—
32C2×#885—31no—
33C2×#885—31no—
34C2×#885—31no—
35C2×#885—31no—
36C2×#885—31no—
37A4×C22⋊C4—21no—
38A4×C22⋊C4—31no—
39A4×C22⋊C4—31no—
40A4×C22⋊C4—31no—
41A4×C22⋊C4D311yescharacteristic, complemented
42C42×A4—31no—
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×A4—21no—
50C2×C3×#67—41no—
51C2×C3×Dic6—41no—
52C3×C4×A4—21no—
53C3×C4×A4—21no—
54Dic3×A4—21no—
55Dic3×A4—21no—
56Dic3×A4D412yes—
57C32×C22⋊C4—41no—
58C3×#217—41no—
59C3×(C2×D3)⋊C4—41no—
60C3×(C2×D3)⋊C4—41no—
61C3×C4×Dic3—41no—
62C22×#124—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×Dic6—22no—
80C22×Dic6—31no—
81C22×Dic6—31no—
82C22×Dic6—31no—
83C22×Dic6—31no—
84C22×Dic6—62no—
85Q8×A4—62no—
86D4×A4—62no—
87C2×C4×A4—21no—
88C2×C4×A4—21no—
89C2×C4×A4—31no—
90C2×C4×A4—31no—
91C2×C4×A4—31no—
92C2×C4×A4C2×D311yescharacteristic
93C2×C4×A4C2×D311yescharacteristic
94C3×#124—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×(C2×D3)⋊C4—31no—
108C2×(C2×D3)⋊C4—31no—
109C2×(C2×D3)⋊C4—31no—
110C2×(C2×D3)⋊C4—31no—
111C2×C4×Dic3—31no—
112C2×C4×Dic3—31no—
113C2×C4×Dic3—31no—
114C2×C4×Dic3—31no—
115#885—32no—
116#885—32no—
117#885—32no—
118#885—32no—
119#885—32no—
120#885—32no—
121#885—32no—
122#885—31no—
123#885—31no—
124#885—31no—
125#885—31no—
126#885—31no—
127#885—31no—
128#885—31no—
129#885A411yescharacteristic, 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—41no—
137C2×C32×C4—41no—
138C2×C32×C4—41no—
139C3×#67—82no—
140C2×C3×Dic3—41no—
141C2×C3×Dic3—41no—
142C2×C3×Dic3—41no—
143C3×Dic6—82no—
144C23×Q8—31no—
145C23×D4—31no—
146C2×#124—91no—
147C2×#124—91no—
148C2×#124—91no—
149C2×#124—91no—
150C2×#124—91no—
151C2×#124—91no—
152C2×#124—91no—
153C2×#124—91no—
154C22×C22⋊C4—31no—
155C22×C22⋊C4—31no—
156C22×C22⋊C4—31no—
157C22×C22⋊C4C3×D311yescharacteristic, complemented
158C22×C42—31no—
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—21no—
171C23×D3—31no—
172C23×D3—31no—
173C23×D3—61no—
174C23×D3—61no—
175C23×D3—61no—
176C22×A4—22no—
177C22×A4—21no—
178C22×A4—21no—
179C22×A4—21no—
180C22×A4—21no—
181C22×A4—41no—
182C22×A4—41no—
183C22×A4—61no—
184C22×A4—61no—
185C22×A4—61no—
186C22×A4C22×D311yescharacteristic
187C2×C3×Q8—121no—
188C2×C3×D4—121no—
189C22×C3×C4—21no—
190C22×C3×C4—21no—
191C22×C3×C4—31no—
192C22×C3×C4—31no—
193C22×C3×C4—31no—
194C22×C3×C4—31no—
195C22×C3×C4—61no—
196C22×C3×C4—61no—
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—31no—
213C22×Dic3—31no—
214C22×Dic3—32no—
215C22×Dic3—31no—
216C22×Dic3—31no—
217C22×Dic3—31no—
218C22×Dic3—31no—
219C22×Dic3—61no—
220C22×Dic3—61no—
221C22×Dic3C3×D412yes—
222C2×Dic6—32no—
223C2×Dic6—31no—
224C2×Dic6—31no—
225C2×Dic6—31no—
226C2×Dic6—62no—
227C2×Dic6—62no—
228C2×Dic6—62no—
229C2×Dic6—62no—
230C2×Dic6—62no—
231C2×Dic6—62no—
232C2×Dic6—62no—
233C2×Dic6—62no—
234C2×Dic6C2×A411yescharacteristic, complemented
235C4×A4—21no—
236C4×A4—21no—
237C4×A4—32no—
238C4×A4—41no—
239C4×A4—41no—
240C4×A4—61no—
241C4×A4—61no—
242C3×C22⋊C4—32no—
243C3×C22⋊C4—31no—
244C3×C22⋊C4—31no—
245C3×C22⋊C4—31no—
246C3×C22⋊C4—41no—
247C3×C22⋊C4—81no—
248C3×C22⋊C4—121no—
249C3×C22⋊C4—121no—
250C3×C22⋊C4—121no—
251C3×C22⋊C4C2×A411yescharacteristic, complemented
252C3×C42—121no—
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—32no—
260(C2×D3)⋊C4—31no—
261(C2×D3)⋊C4—31no—
262(C2×D3)⋊C4—31no—
263(C2×D3)⋊C4—31no—
264(C2×D3)⋊C4—31no—
265(C2×D3)⋊C4—31no—
266(C2×D3)⋊C4C2×A411yescharacteristic, complemented
267(C2×D3)⋊C4C2×A411yescharacteristic, complemented
268C4×Dic3—32no—
269C4×Dic3—31no—
270C4×Dic3—31no—
271C4×Dic3—31no—
272C4×Dic3C2×A411yescharacteristic, complemented
273C22×C32—41no—
274C22×C32—81no—
275C22×C32—81no—
276C22×C32—81no—
277C2×C3×D3—81no—
278C2×C3×D3—81no—
279C2×C3×D3—81no—
280C3×A4#12411yescharacteristic, complemented
281C32×C4—81no—
282C32×C4—81no—
283C3×Dic3—42no—
284C3×Dic3—81no—
285C3×Dic3—81no—
286C25—31no—
287C25C2×C3×D311yescharacteristic
288C22×Q8—62no—
289C22×Q8—91no—
290C22×Q8—91no—
291C22×Q8—91no—
292C22×Q8—91no—
293C22×Q8—182no—
294C22×D4—62no—
295C22×D4—91no—
296C22×D4—91no—
297C22×D4—91no—
298C22×D4—91no—
299C22×D4—182no—
300C23×C4—31no—
301C23×C4—31no—
302C23×C4—31no—
303C23×C4C2×C3×D311yescharacteristic
304C23×C4C2×C3×D311yescharacteristic
305#124—31no—
306#124—91no—
307#124—91no—
308#124—91no—
309#124—91no—
310#124—91no—
311#124—91no—
312#124—92no—
313#124—92no—
314#124—92no—
315#124—92no—
316#124—92no—
317#124—92no—
318#124—92no—
319#124—91no—
320C2×C22⋊C4—31no—
321C2×C22⋊C4—31no—
322C2×C22⋊C4—31no—
323C2×C22⋊C4—31no—
324C2×C22⋊C4—91no—
325C2×C22⋊C4—91no—
326C2×C22⋊C4—91no—
327C2×C22⋊C4—91no—
328C2×C22⋊C4—91no—
329C2×C22⋊C4—91no—
330C2×C22⋊C4—91no—
331C2×C22⋊C4—91no—
332C2×C22⋊C4—91no—
333C2×C22⋊C4—91no—
334C2×C22⋊C4—91no—
335C2×C22⋊C4—91no—
336C2×C42—91no—
337C2×C42—91no—
338C2×C42—91no—
339C2×C42—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—31no—
370C22×D3—41no—
371C22×D3—61no—
372C22×D3—61no—
373C22×D3—61no—
374C22×D3—61no—
375C22×D3—61no—
376C22×D3—61no—
377C22×D3—61no—
378C22×D3—61no—
379C22×D3—61no—
380C22×D3—61no—
381C22×D3—61no—
382C22×D3—61no—
383C22×D3—122no—
384C22×D3—121no—
385C22×D3—121no—
386C22×D3—121no—
387C22×D3C22×A411yescharacteristic
388C2×A4—21no—
389C2×A4—21no—
390C2×A4—21no—
391C2×A4—42no—
392C2×A4—41no—
393C2×A4—121no—
394C2×A4#23511yescharacteristic
395C2×A4D3×D411yescharacteristic
396C2×A4#23711yescharacteristic
397C3×Q8—242no—
398C3×D4—242no—
399C2×C3×C4—31no—
400C2×C3×C4—31no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
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—61no—
411C2×C3×C4—81no—
412C2×C3×C4—81no—
413C2×C3×C4—121no—
414C2×C3×C4—121no—
415C2×C3×C4—121no—
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—32no—
424C2×Dic3—31no—
425C2×Dic3—32no—
426C2×Dic3—32no—
427C2×Dic3—32no—
428C2×Dic3—31no—
429C2×Dic3—31no—
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
441Dic6—22no—
442Dic6—62no—
443Dic6—62no—
444Dic6—64no—
445Dic6—62no—
446C2×C32—41no—
447C2×C32—41no—
448C2×C32—41no—
449C2×C32—161no—
450C3×D3—161no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—31no—
455C24—31no—
456C24—61no—
457C24—61no—
458C24—61no—
459C24—61no—
460C24—61no—
461C24—61no—
462C24—91no—
463C24—91no—
464C24—181no—
465C24—181no—
466C24—181no—
467C24C22×C3×D311yescharacteristic
468C2×Q8—31no—
469C2×Q8—91no—
470C2×Q8—91no—
471C2×Q8—92no—
472C2×Q8—91no—
473C2×Q8—182no—
474C2×Q8—182no—
475C2×Q8—182no—
476C2×Q8—182no—
477C2×Q8—182no—
478C2×Q8—182no—
479C2×Q8—182no—
480C2×Q8—182no—
481C2×D4—31no—
482C2×D4—91no—
483C2×D4—91no—
484C2×D4—92no—
485C2×D4—91no—
486C2×D4—182no—
487C2×D4—182no—
488C2×D4—182no—
489C2×D4—182no—
490C2×D4—182no—
491C2×D4—182no—
492C2×D4—182no—
493C2×D4—182no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—32no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—91no—
506C22×C4—91no—
507C22×C4—91no—
508C22×C4—91no—
509C22×C4—92no—
510C22×C4—91no—
511C22×C4—91no—
512C22×C4—181no—
513C22×C4—181no—
514C22⋊C4—32no—
515C22⋊C4—31no—
516C22⋊C4—31no—
517C22⋊C4—31no—
518C22⋊C4—31no—
519C22⋊C4—31no—
520C22⋊C4—31no—
521C22⋊C4—91no—
522C22⋊C4—91no—
523C22⋊C4—91no—
524C22⋊C4—91no—
525C22⋊C4—91no—
526C22⋊C4—91no—
527C22⋊C4—92no—
528C22⋊C4—92no—
529C22⋊C4—92no—
530C22⋊C4—91no—
531C22⋊C4—91no—
532C22⋊C4—91no—
533C22⋊C4D3×A411yescharacteristic, complemented
534C42—31no—
535C42—91no—
536C42—91no—
537C42—92no—
538C42—91no—
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—121no—
562C22×C3—121no—
563C22×C3—121no—
564C22×C3—121no—
565C22×C3—121no—
566C22×C3—121no—
567C22×C3—121no—
568C22×C3—121no—
569C22×C3—161no—
570C22×C3—161no—
571C22×C3—241no—
572C22×C3—241no—
573C22×C3—241no—
574C22×C3C3×#12411yescharacteristic, complemented
575C22×C3C23×A411yescharacteristic
576C2×D3—21no—
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—61no—
580C2×D3—61no—
581C2×D3—61no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—121no—
585C2×D3—121no—
586C2×D3—121no—
587C2×D3—121no—
588C2×D3—121no—
589C2×D3—121no—
590A4—21no—
591A4#88511yescharacteristic, direct product factor
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—61no—
595C3×C4—61no—
596C3×C4—81no—
597C3×C4—81no—
598C3×C4—122no—
599C3×C4—161no—
600C3×C4—161no—
601C3×C4—241no—
602C3×C4—241no—
603Dic3—21no—
604Dic3—21no—
605Dic3—32no—
606Dic3—61no—
607Dic3—61no—
608Dic3D4×A412yes—
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—91no—
630C23—121no—
631C23—121no—
632C23—121no—
633C23—122no—
634C23—121no—
635C23—181no—
636C23—181no—
637C23—181no—
638C23—181no—
639C23—181no—
640C23—181no—
641C23—181no—
642C23—181no—
643C23—181no—
644C23—181no—
645C23—181no—
646C23—181no—
647C23—361no—
648C23—361no—
649C23—361no—
650C23—362no—
651C23C3×#23511yescharacteristic
652C23C3×D3×D411yescharacteristic
653C23C3×#23711yescharacteristic
654C23C2×D3×A411yescharacteristic
655Q8—62no—
656Q8—182no—
657Q8—182no—
658Q8—182no—
659Q8—184no—
660D4—62no—
661D4—182no—
662D4—182no—
663D4—182no—
664D4—184no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—31no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—92no—
679C2×C4—92no—
680C2×C4—92no—
681C2×C4—91no—
682C2×C4—92no—
683C2×C4—91no—
684C2×C4—91no—
685C2×C4—181no—
686C2×C4—181no—
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—481no—
710C2×C3C2×D4×A411yescharacteristic
711C2×C3A4×#4111yescharacteristic
712C2×C3A4×#4111yescharacteristic
713D3—41no—
714D3—121no—
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—61no—
729C22—61no—
730C22—61no—
731C22—61no—
732C22—61no—
733C22—61no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—181no—
743C22—181no—
744C22—181no—
745C22—361no—
746C22—361no—
747C22—361no—
748C22—361no—
749C22—361no—
750C22—361no—
751C22—361no—
752C22—361no—
753C22C3×#88511yescharacteristic, complemented
754C22C22×D3×A411yescharacteristic
755C4—21no—
756C4—21no—
757C4—32no—
758C4—61no—
759C4—61no—
760C4—61no—
761C4—61no—
762C4—92no—
763C4—181no—
764C4—181no—
765C3—41no—
766C3—81no—
767C3A4×#12411yescharacteristic, complemented
768C2—31no—
769C2—31no—
770C2—31no—
771C2—31no—
772C2—41no—
773C2—121no—
774C2—121no—
775C2—361no—
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×#124
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
3. C3×A4×C22⋊C4C2semidirect
4. A4×#217C2semidirect
5. A4×(C2×D3)⋊C4C2semidirect
6. A4×(C2×D3)⋊C4C2semidirect
7. C4×Dic3×A4C2semidirect
8. C22×#885C3semidirect
21. C23×Dic6C2×C3semidirect
24. C22×C3×C22⋊C4C2×C3semidirect
25. C22×#217C2×C3semidirect
26. C22×(C2×D3)⋊C4C2×C3semidirect
27. C22×(C2×D3)⋊C4C2×C3semidirect
28. C22×C4×Dic3C2×C3semidirect
41. A4×C22⋊C4D3semidirect
129. #885A4direct (N × H)
157. C22×C22⋊C4C3×D3semidirect
234. C2×Dic6C2×A4semidirect
251. C3×C22⋊C4C2×A4semidirect
257. #217C2×A4semidirect
266. (C2×D3)⋊C4C2×A4semidirect
267. (C2×D3)⋊C4C2×A4semidirect
272. C4×Dic3C2×A4semidirect
280. C3×A4#124semidirect
533. C22⋊C4D3×A4semidirect
574. C22×C3C3×#124semidirect
591. A4#885direct (N × H)
753. C22C3×#885semidirect
767. C3A4×#124semidirect

Maximal subgroups

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

subgroupindex
C2×A4×#672
C2×A4×Dic62
C3×A4×C22⋊C42
A4×#2172
A4×(C2×D3)⋊C42
C4×Dic3×A42
C22×#8853
A4×#1243
C3×#8854