Finite Group Databasebeta

← C4×#5837 #11659422

Subgroups — C4×#5837 #11659422

Order 768.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×2−1+4C211yesmaximal, characteristic, complemented
2C2×#5837C211yesmaximal, characteristic
3C4×#1009C211yesmaximal, characteristic, complemented
4#84111C211yesmaximal, characteristic, complemented
5#82564C213yesmaximal, complemented
6#82563C211yesmaximal, characteristic, complemented
7#82561C211yesmaximal, characteristic, complemented
8#82558C213yesmaximal, complemented
9#82548C213yesmaximal, complemented
10#82547C213yesmaximal, complemented
11C4×#949C213yesmaximal, complemented
12C4×#948C211yesmaximal, characteristic, complemented
13C4×#950C213yesmaximal, complemented
14C4×#942C213yesmaximal, complemented
15C2×C4×#215C213yesmaximal, complemented
16C4×#577—31nomaximal, Sylow
17C2×C3×2−1+4C2211yescharacteristic
18C2×#1009C2211yescharacteristic
19C3×#520—23no—
20C3×#520C2211yescharacteristic
21C3×#520C2213yescomplemented
22C3×#519—21no—
23C3×#519C2213yescomplemented
24C3×C4×#41—23no—
25C3×C4×#41C2211yescharacteristic
26C3×C4×#41C2213yescomplemented
27C2×C3×C4×Q8—21no—
28C2×C3×C4×Q8C2213yescomplemented
29#5837C4116yesdirect product factor
30#5827C2211yescharacteristic
31C2×#950C2213yes—
32C2×#949C2213yes—
33C2×#948C2211yescharacteristic
34C2×#948C2211yescharacteristic
35C2×#942C2213yes—
36C22×#215C2213yes—
37#5574—21no—
38C4×#239—21no—
39#5545—23no—
40C4×D3×D4—23no—
41#5523C2213yes—
42#5521C2213yes—
43C4×#235C2213yes—
44C2×C4×D12C2213yes—
45#5233C2213yescomplemented
46#5232C2213yescomplemented
47#5225C2213yescomplemented
48C2×#835C2213yescomplemented
49#5030C2216yescomplemented
50C4×#216C2213yescomplemented
51C4×#216C2213yescomplemented
52#5026C2216yescomplemented
53#5026C2216yescomplemented
54C4×#215C2213yescomplemented
55C4×#215C2213yescomplemented
56C4×#215C2216yescomplemented
57C4×#215C2216yescomplemented
58C4×#215C2216yescomplemented
59C4×#214C2211yescharacteristic, complemented
60C4×#214C2213yescomplemented
61#5014C2216yescomplemented
62C4×#213C2213yescomplemented
63C4×#213C2213yescomplemented
64#5002C2213yes—
65#5001C2213yes—
66#4998C2213yescomplemented
67#4997C2213yescomplemented
68#4997C2213yescomplemented
69#4995C2213yescomplemented
70#4966C2213yes—
71C2×#809C2213yes—
72#4964C2213yescomplemented
73C2×#808C2213yescomplemented
74C4×#208C2213yescomplemented
75C2×C4×C3⋊C8C2213yescomplemented
76C2×#577—31no—
77C4×2−1+4D311yescharacteristic, complemented
78C4×H(5,𝔽2)—31no—
79#2952—33no—
80#2949—33no—
81#2947—33no—
82#2946—33no—
83C4×#137—33no—
84C4×AGL(1,ℤ/8)—33no—
85C4×#135—33no—
86C2×C4×SD16—33no—
87#2912—31no—
88#2898—31no—
89#2897—31no—
90C4×#131—31no—
91C3×2−1+4—24no—
92C3×2−1+4C2×C418yescomplemented
93C2×C3×#41—23no—
94C2×C3×#41C2313yes—
95C2×C3×#41C2311yescharacteristic
96C22×C3×Q8—21no—
97C22×C3×Q8C2313yes—
98#1009—24no—
99#1009C2×C418yescomplemented
100C2×#239—21no—
101C2×D3×D4—23no—
102C2×#235C2313yes—
103C22×D12C2313yes—
104C22×C4×D3—23no—
105C3×C4×Q8—21no—
106C3×C4×Q8—23no—
107C3×C4×Q8—23no—
108C3×C4×Q8—23no—
109C3×C4×Q8—23no—
110C3×C4×Q8D411yescharacteristic
111C3×C4×Q8D411yescharacteristic
112C3×C4×Q8C2313yes—
113C3×C4×Q8C2316yes—
114C3×C4×Q8C2313yes—
115C3×C4×D4—23no—
116C3×C4×D4—23no—
117C3×C4×D4—23no—
118C3×C4×D4—26no—
119C3×C4×D4D413yes—
120C3×C4×D4D413yes—
121C3×C4×D4C2311yescharacteristic
122C3×C4×D4C2313yes—
123C3×#117—23no—
124C3×#117—26no—
125C3×#117—23no—
126C3×#117C2313yes—
127C3×#117C2313yes—
128C2×C3×C4⋊C4—23no—
129C2×C3×C4⋊C4—23no—
130C2×C3×C4⋊C4C2313yes—
131C2×C3×C42—23no—
132C2×C3×C42—23no—
133C2×C3×C42C2313yes—
134#950C2×C4124yescomplemented
135#949C2×C4124yescomplemented
136#948—24no—
137#948C2×C418yescomplemented
138Q8×Dic3—21no—
139C2×#216C2313yes—
140#942C2×C4124yescomplemented
141C2×#215C2×C4124yescomplemented
142C2×#215C2313yes—
143C2×#215C2316yes—
144D4×Dic3—23no—
145C2×#214C2311yescharacteristic
146C2×#213C2313yes—
147C4×#67—23no—
148C4×#67—23no—
149C2×(C2×D3)⋊C4—23no—
150#926C2313yes—
151C2×C4⋊Dic3C2313yes—
152C2×#208C2313yes—
153C2×#208C2313yes—
154C22×C3⋊C8C2313yes—
155C22×C3⋊C8C2313yes—
156#893—23no—
157#893—23no—
158#892—23no—
159D3×C4⋊C4—23no—
160#67⋊C4—26no—
161D3×C22⋊C4—26no—
162C4×D12—23no—
163C4×D12—23no—
164C4×D12C2313yes—
165C4×D12C2316yes—
166C4×D12C2313yes—
167#872—23no—
168C42×D3—23no—
169C4×Dic6C2311yescharacteristic
170C4×Dic6C2313yes—
171#835C2313yes—
172#835C2316yes—
173#835C2313yes—
174#832C2313yes—
175#832C2311yescharacteristic
176#810C2313yes—
177#810C2311yescharacteristic
178#809C2313yes—
179#809C2316yes—
180#809C2313yes—
181#808C2313yes—
182#808C2316yes—
183#808C2311yescharacteristic
184#807C2313yes—
185#807C2313yes—
186#803C2316yes—
187C4×C3⋊C8C2311yescharacteristic
188C4×C3⋊C8C2313yes—
189C4×C3⋊C8C2313yes—
190C4×C3⋊C8C2313yes—
191C2×2−1+4C2×D311yescharacteristic
192C2×H(5,𝔽2)—31no—
193#577—316no—
194C2×#137—33no—
195C2×AGL(1,ℤ/8)—33no—
196C2×#135—33no—
197C22×SD16—33no—
198C2×#131—31no—
199C2×#131—31no—
200#520—23no—
201#520—31no—
202#520—33no—
203#520—61no—
204#520C2×D311yescharacteristic
205#520C2×D313yescomplemented
206#519—21no—
207#519C2×D313yescomplemented
208#518—33no—
209#518—63no—
210C4×#41—23no—
211C4×#41—33no—
212C4×#41—61no—
213C4×#41C2×D311yescharacteristic
214C4×#41C2×D313yescomplemented
215C2×C4×Q8—21no—
216C2×C4×Q8C2×D313yescomplemented
217C2×C4×D4—33no—
218C2×C4×D4—63no—
219#442—36no—
220#441—36no—
221#440—36no—
222#440—36no—
223C4×Q16—33no—
224C4×Q16—33no—
225C4×SD16—33no—
226C4×SD16—36no—
227C4×SD16—36no—
228C4×SD16—36no—
229C4×SD16—33no—
230C4×SD16—31no—
231C4×SD16—33no—
232C4×D8—33no—
233C4×D8—33no—
234#428—33no—
235#428—33no—
236#427—33no—
237C2×#106—33no—
238#419—33no—
239#418—33no—
240#417—33no—
241#417—33no—
242#416—33no—
243#416—33no—
244C2×#103—33no—
245C2×#102—33no—
246#405—33no—
247#405—33no—
248C4×M16—33no—
249C2×C4×C8—33no—
250C23×D3—23no—
251C3×#41—224no—
252C3×#41—26no—
253C3×#41C22×C414yes—
254C3×#41C22×C4112yescomplemented
255C3×#41#4114yes—
256C2×C3×Q8—28no—
257C2×C3×Q8—23no—
258C2×C3×Q8—26no—
259C2×C3×Q8C22×C4112yescomplemented
260C2×C3×Q8C2×D411yescharacteristic
261C2×C3×Q8C2413yes—
262C2×C3×D4—23no—
263C2×C3×D4C2×D413yes—
264C2×C3×D4C2411yescharacteristic
265C22×C3×C4—23no—
266C22×C3×C4—23no—
267C22×C3×C4—23no—
268C22×C3×C4—21no—
269C22×C3×C4—23no—
270C22×C3×C4C2×D413yes—
271C22×C3×C4C2×D413yes—
272C22×C3×C4C2413yes—
273C2×#67—23no—
274C22×Dic3—23no—
275#239—28no—
276D3×D4—224no—
277#235—26no—
278#235C22×C4112yes—
279C2×D12—23no—
280C2×D12—26no—
281C2×D12C22×C4112yes—
282C2×D12C2413yes—
283C2×C4×D3—23no—
284C2×C4×D3—23no—
285C2×C4×D3—23no—
286C2×C4×D3—26no—
287C2×C4×D3—86no—
288C2×Dic6C2411yescharacteristic
289C3×C4⋊C4—26no—
290C3×C4⋊C4—23no—
291C3×C4⋊C4—23no—
292C3×C4⋊C4—23no—
293C3×C4⋊C4C2×D413yes—
294C3×C4⋊C4C2×D413yes—
295C3×C4⋊C4C2411yescharacteristic
296C3×C4⋊C4C2413yes—
297C3×C22⋊C4—23no—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—23no—
300C3×C22⋊C4C2×D416yes—
301C3×C42—23no—
302C3×C42—23no—
303C3×C42—26no—
304C3×C42—23no—
305C3×C42C2×D413yes—
306C3×C42C2×D413yes—
307C3×C42C2411yescharacteristic
308C3×C42C2413yes—
309#217—23no—
310#216C22×C4112yescomplemented
311#215C22×C4112yescomplemented
312#215C22×C4124yescomplemented
313#214C22×C414yescomplemented
314#213C22×C4112yescomplemented
315(C2×D3)⋊C4—23no—
316(C2×D3)⋊C4—23no—
317(C2×D3)⋊C4—26no—
318C4⋊Dic3—23no—
319C4⋊Dic3C2411yescharacteristic
320C4⋊Dic3C2413yes—
321Dic3⋊C4—21no—
322Dic3⋊C4—23no—
323C4×Dic3—21no—
324C4×Dic3—23no—
325C4×Dic3—23no—
326#208—26no—
327#208C22×C4112yescomplemented
328C2×C3⋊C8—26no—
329C2×C3⋊C8C22×C4112yescomplemented
330C2×C3⋊C8C2411yescharacteristic
331C2×C3⋊C8C2413yes—
332C2×C3⋊C8C2411yescharacteristic
333C2×C3⋊C8C2413yes—
3342−1+4—24no—
3352−1+4C4×D318yescomplemented
336H(5,𝔽2)—38no—
337H(5,𝔽2)—64no—
338C2×#41—23no—
339C2×#41—33no—
340C2×#41—61no—
341C2×#41C22×D313yes—
342C2×#41C22×D311yescharacteristic
343C22×Q8—21no—
344C22×Q8C22×D313yes—
345C22×D4—33no—
346C22×D4—63no—
347C23×C4—63no—
348#137—324no—
349AGL(1,ℤ/8)—324no—
350#135—324no—
351C2×Q16—33no—
352C2×SD16—324no—
353C2×SD16—33no—
354C2×SD16—36no—
355C2×SD16—31no—
356C2×D8—33no—
357#131—38no—
358#131—64no—
359C2×M16—33no—
360C2×M16—33no—
361C22×C8—33no—
362C22×C8—33no—
363C4×Q8—21no—
364C4×Q8—23no—
365C4×Q8—23no—
366C4×Q8—23no—
367C4×Q8—23no—
368C4×Q8—31no—
369C4×Q8—33no—
370C4×Q8—61no—
371C4×Q8#6711yescharacteristic
372C4×Q8#6711yescharacteristic
373C4×Q8C22×D313yes—
374C4×Q8C22×D316yes—
375C4×Q8C22×D313yes—
376C4×D4—23no—
377C4×D4—23no—
378C4×D4—23no—
379C4×D4—26no—
380C4×D4—33no—
381C4×D4—36no—
382C4×D4—33no—
383C4×D4—63no—
384C4×D4—63no—
385C4×D4—63no—
386C4×D4—63no—
387C4×D4—63no—
388C4×D4—66no—
389C4×D4—63no—
390C4×D4—63no—
391C4×D4#6713yes—
392C4×D4#6713yes—
393C4×D4C22×D311yescharacteristic
394C4×D4C22×D313yes—
395#117—23no—
396#117—26no—
397#117—23no—
398#117—33no—
399#117—63no—
400#117—63no—
401#117C22×D313yes—
402#117C22×D313yes—
403C2×C4⋊C4—23no—
404C2×C4⋊C4—23no—
405C2×C4⋊C4—33no—
406C2×C4⋊C4—63no—
407C2×C4⋊C4C22×D313yes—
408C2×C22⋊C4—63no—
409C2×C22⋊C4—66no—
410C2×C42—23no—
411C2×C42—23no—
412C2×C42—63no—
413C2×C42C22×D313yes—
414#107—33no—
415#107—33no—
416#106—33no—
417#106—36no—
418#106—31no—
419#103—33no—
420#103—36no—
421#103—33no—
422#103—31no—
423#103—33no—
424#102—31no—
425#102—33no—
426#102—33no—
427#102—36no—
428#102—33no—
429#97—36no—
430C4×C8—31no—
431C4×C8—33no—
432C4×C8—33no—
433C4×C8—33no—
434C23×C3—21no—
435C23×C3C22×D413yes—
436C22×D3—23no—
437C22×D3—212no—
438C22×D3—83no—
439C22×D3—83no—
440C3×Q8—212no—
441C3×Q8—23no—
442C3×Q8C4×D414yes—
443C3×Q8C23×C416yes—
444C3×D4—212no—
445C3×D4—21no—
446C3×D4C4×D4112yes—
447C3×D4C23×C412yes—
448C2×C3×C4—212no—
449C2×C3×C4—23no—
450C2×C3×C4—212no—
451C2×C3×C4—26no—
452C2×C3×C4—21no—
453C2×C3×C4—23no—
454C2×C3×C4—43no—
455C2×C3×C4—42no—
456C2×C3×C4—83no—
457C2×C3×C4—83no—
458C2×C3×C4C23×C416yes—
459C2×C3×C4C22×D413yes—
460C2×C3×C4C22×D411yescharacteristic
461C2×C3×C4C22×D413yes—
462C2×C3×C4C22×D413yes—
463C2×C3×C4C22×D411yescharacteristic
464C2×C3×C4C2×#4116yes—
465C2×C3×C4C2511yescharacteristic
466#67—212no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—23no—
470C2×Dic3—83no—
471D12—212no—
472D12—23no—
473D12C23×C416yes—
474C4×D3—212no—
475C4×D3—46no—
476C4×D3—83no—
477C4×D3—86no—
478Dic6—21no—
479Dic6C23×C412yes—
480C3⋊C8—21no—
481C3⋊C8—23no—
482C3⋊C8C23×C412yes—
483C3⋊C8C23×C416yes—
484C24—63no—
485#41—224no—
486#41—26no—
487#41—312no—
488#41—68no—
489#41—66no—
490#41C2×C4×D314yes—
491#41C2×C4×D3112yescomplemented
492#41#23514yes—
493C2×Q8—28no—
494C2×Q8—26no—
495C2×Q8—23no—
496C2×Q8—31no—
497C2×Q8C2×C4×D3112yescomplemented
498C2×Q8C2×#6711yescharacteristic
499C2×Q8C23×D313yes—
500C2×D4—23no—
501C2×D4—312no—
502C2×D4—33no—
503C2×D4—63no—
504C2×D4—624no—
505C2×D4—66no—
506C2×D4—63no—
507C2×D4C2×#6713yes—
508C2×D4C23×D311yescharacteristic
509C22×C4—23no—
510C22×C4—23no—
511C22×C4—23no—
512C22×C4—21no—
513C22×C4—23no—
514C22×C4—63no—
515C22×C4—63no—
516C22×C4—63no—
517C22×C4—63no—
518C22×C4—66no—
519C22×C4—246no—
520C22×C4C2×#6713yes—
521C22×C4C2×#6713yes—
522C22×C4C23×D313yes—
523Q16—312no—
524SD16—312no—
525SD16—324no—
526SD16—34no—
527D8—312no—
528M16—312no—
529M16—66no—
530C2×C8—312no—
531C2×C8—31no—
532C2×C8—33no—
533C2×C8—31no—
534C2×C8—33no—
535C2×C8—66no—
536C4⋊C4—26no—
537C4⋊C4—23no—
538C4⋊C4—23no—
539C4⋊C4—23no—
540C4⋊C4—33no—
541C4⋊C4—31no—
542C4⋊C4—63no—
543C4⋊C4—63no—
544C4⋊C4—61no—
545C4⋊C4C2×#6713yes—
546C4⋊C4C2×#6713yes—
547C4⋊C4C23×D313yes—
548C4⋊C4C23×D311yescharacteristic
549C22⋊C4—23no—
550C22⋊C4—21no—
551C22⋊C4—23no—
552C22⋊C4—63no—
553C22⋊C4—63no—
554C22⋊C4—66no—
555C22⋊C4—63no—
556C22⋊C4C2×#6716yes—
557C42—23no—
558C42—26no—
559C42—23no—
560C42—23no—
561C42—63no—
562C42—63no—
563C42—61no—
564C42C2×#6713yes—
565C42C2×#6713yes—
566C42C23×D313yes—
567C42C23×D311yescharacteristic
568C22×C3—23no—
569C22×C3—23no—
570C22×C3—22no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3C2×C4×D416yes—
574C22×C3C23×D411yescharacteristic
575C2×D3—26no—
576C2×D3—43no—
577C2×D3—43no—
578C2×D3—812no—
579C3×C4—23no—
580C3×C4—21no—
581C3×C4—26no—
582C3×C4—23no—
583C3×C4—43no—
584C3×C4—41no—
585C3×C4C2×C4×D416yes—
586C3×C4#57712yescomplemented
587C3×C4C24×C411yescharacteristic
588C3×C4C22×#4111yescharacteristic
589Dic3—22no—
590Dic3—41no—
591Dic3—43no—
592C23—21no—
593C23—63no—
594C23—612no—
595C23—243no—
596C23—243no—
597C23C22×#6713yes—
598Q8—23no—
599Q8—212no—
600Q8—32no—
601Q8—61no—
602Q8C4×#6714yes—
603Q8C22×C4×D316yes—
604D4—212no—
605D4—21no—
606D4—36no—
607D4—612no—
608D4—63no—
609D4—612no—
610D4C4×#67112yes—
611D4C22×C4×D312yes—
612C2×C4—23no—
613C2×C4—212no—
614C2×C4—212no—
615C2×C4—26no—
616C2×C4—21no—
617C2×C4—23no—
618C2×C4—43no—
619C2×C4—42no—
620C2×C4—61no—
621C2×C4—612no—
622C2×C4—61no—
623C2×C4—63no—
624C2×C4—83no—
625C2×C4—83no—
626C2×C4—126no—
627C2×C4—246no—
628C2×C4—243no—
629C2×C4—243no—
630C2×C4C22×C4×D316yes—
631C2×C4C2×#23516yes—
632C2×C4C22×#6713yes—
633C2×C4C22×#6713yes—
634C2×C4C22×#6711yescharacteristic
635C2×C4C22×#6713yes—
636C2×C4C22×#6711yescharacteristic
637C2×C4C24×D311yescharacteristic
638C8—32no—
639C8—36no—
640C8—61no—
641C8—63no—
642C2×C3—26no—
643C2×C3—42no—
644C2×C3C22×C4×D411yescharacteristic
645C2×C3C2×#57711yescharacteristic
646C2×C3#358411yescharacteristic
647D3—46no—
648C22—23no—
649C22—23no—
650C22—22no—
651C22—41no—
652C22—41no—
653C22—66no—
654C22—123no—
655C22—123no—
656C22—2412no—
657C22C2×C4×#6716yes—
658C22C23×#6711yescharacteristic
659C4—21no—
660C4—23no—
661C4—26no—
662C4—23no—
663C4—43no—
664C4—41no—
665C4—62no—
666C4—121no—
667C4—123no—
668C4C2×C4×#6716yes—
669C4#583712yesdirect product factor
670C4C23×C4×D311yescharacteristic
671C4C22×#23511yescharacteristic
672C3C4×#57711yescharacteristic, complemented, Sylow
673C2—26no—
674C2—42no—
675C2—126no—
676C2C22×C4×#6711yescharacteristic
677C2C2×#583711yescharacteristic
678C2#8729711yescharacteristic
subgroupG/H
centerC2×C4C22×#67
commutatorC3×C4C24×C4
FrattiniC2×C4C24×D3
FittingC3×C4×2−1+4C2
socleC22×C3C23×D4
prime radicalC2×#5837C2
cosocleC2×C3×C4C25
hypercenterC4×2−1+4D3
hypocenterC3C4×#577
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
1. C3×C4×2−1+4C2semidirect
3. C4×#1009C2semidirect
4. #84111C2semidirect
5. #82564C2semidirect
6. #82563C2semidirect
7. #82561C2semidirect
8. #82558C2semidirect
9. #82548C2semidirect
10. #82547C2semidirect
11. C4×#949C2semidirect
12. C4×#948C2semidirect
13. C4×#950C2semidirect
14. C4×#942C2semidirect
15. C2×C4×#215C2semidirect
21. C3×#520C22semidirect
23. C3×#519C22semidirect
26. C3×C4×#41C22semidirect
28. C2×C3×C4×Q8C22semidirect
29. #5837C4direct (N × H)
45. #5233C22semidirect
46. #5232C22semidirect
47. #5225C22semidirect
48. C2×#835C22semidirect
49. #5030C22semidirect
50. C4×#216C22semidirect
51. C4×#216C22semidirect
52. #5026C22semidirect
53. #5026C22semidirect
54. C4×#215C22semidirect
55. C4×#215C22semidirect
56. C4×#215C22semidirect
57. C4×#215C22semidirect
58. C4×#215C22semidirect
59. C4×#214C22semidirect
60. C4×#214C22semidirect
61. #5014C22semidirect
62. C4×#213C22semidirect
63. C4×#213C22semidirect
66. #4998C22semidirect
67. #4997C22semidirect
68. #4997C22semidirect
69. #4995C22semidirect
72. #4964C22semidirect
73. C2×#808C22semidirect
74. C4×#208C22semidirect
75. C2×C4×C3⋊C8C22semidirect
77. C4×2−1+4D3semidirect
92. C3×2−1+4C2×C4semidirect
99. #1009C2×C4semidirect
134. #950C2×C4semidirect
135. #949C2×C4semidirect
137. #948C2×C4semidirect
140. #942C2×C4semidirect
141. C2×#215C2×C4semidirect
205. #520C2×D3semidirect
207. #519C2×D3semidirect
214. C4×#41C2×D3semidirect
216. C2×C4×Q8C2×D3semidirect
254. C3×#41C22×C4semidirect
259. C2×C3×Q8C22×C4semidirect
310. #216C22×C4semidirect
311. #215C22×C4semidirect
312. #215C22×C4semidirect
313. #214C22×C4semidirect
314. #213C22×C4semidirect
327. #208C22×C4semidirect
329. C2×C3⋊C8C22×C4semidirect
335. 2−1+4C4×D3semidirect
491. #41C2×C4×D3semidirect
497. C2×Q8C2×C4×D3semidirect
586. C3×C4#577semidirect
669. C4#5837direct (N × H)
672. C3C4×#577semidirect

Maximal subgroups

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

subgroupindex
C3×C4×2−1+42
C2×#58372
C4×#10092
#841112
#825642
#825632
#825612
#825582
#825482
#825472
C4×#9492
C4×#9482
C4×#9502
C4×#9422
C2×C4×#2152
C4×#5773