Finite Group Databasebeta

← C4×#63823 #11860312

Subgroups — C4×#63823 #11860312

Order 1152.

1167 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#235C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×#63823C211yesmaximal, characteristic
4C4×#3748C211yesmaximal, characteristic, complemented
5#10591139C211yesmaximal, characteristic, complemented
6#10591087C211yesmaximal, characteristic, complemented
7#10591085C211yesmaximal, characteristic, complemented
8#10590358C212yesmaximal, complemented
9C4×#3715C212yesmaximal, complemented
10#10590344C212yesmaximal, complemented
11C4×#3713C212yesmaximal, complemented
12C4×#949—31nomaximal
13C4×#932—31nomaximal
14C2×C3×#235C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C2×C32×C42C2211yescharacteristic
18C2×#3748C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C3×C4×#67—21no—
21C3×C4×#67—21no—
22C2×C3×(C2×D3)⋊C4—21no—
23C3×#926C2211yescharacteristic
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C3×C4×D12—21no—
26C3×C4×D12—21no—
27C3×C4×D12C2212yes—
28C3×C4×D12C2212yes—
29C3×C4×D12C2211yescharacteristic, complemented
30C3×C4×D12C2211yescharacteristic, complemented
31C3×#872—21no—
32C3×C42×D3—21no—
33C3×C4×Dic6C2211yescharacteristic, complemented
34C3×C4×Dic6C2211yescharacteristic, complemented
35C2×#3715C2212yes—
36#63823C418yesdirect product factor
37C2×#3713C2212yes—
38#63630C2212yescomplemented
39C4×C3⋊(C3⋊C8)C2212yescomplemented
40#63576C2212yescomplemented
41#63574C2212yescomplemented
42#63565C2212yescomplemented
43#63562C2212yes—
44#63562C2212yes—
45#63562C2212yescomplemented
46C3×C4×#41—31no—
47C2×C3×C4×D4—31no—
48C2×#949—31no—
49C2×#932—31no—
50C4×#235D311yescharacteristic, complemented
51C2×C4×D12D311yescharacteristic, complemented
52#5232—31no—
53#5215—31no—
54#5026—32no—
55C4×#215—32no—
56#5018—32no—
57C4×#214—32no—
58#5014—32no—
59#5014—32no—
60C4×#213—32no—
61C4×#213—32no—
62#5001—31no—
63#4995—31no—
64#4966—31no—
65#4964—31no—
66C4×#208—31no—
67C4×#208—31no—
68C4×#208—61no—
69C23×C3×D3—21no—
70C22×C32×C4D411yescharacteristic
71C22×C32×C4D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C2×C3×#67—21no—
74C22×C3×Dic3—21no—
75C3×#235—22no—
76C3×#235C2×C414yescomplemented
77C2×C3×D12—21no—
78C2×C3×D12—22no—
79C2×C3×D12C2×C414yescomplemented
80C2×C3×D12C2312yes—
81C2×C3×D12C2311yescharacteristic
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—44no—
88C2×C3×Dic6C2311yescharacteristic
89C32×C42D411yescharacteristic
90C32×C42D411yescharacteristic
91C32×C42C2311yescharacteristic
92C32×C42C2311yescharacteristic
93#3748—22no—
94#3748C2×C414yescomplemented
95C2×C3⋊(C3⋊C8)C2312yes—
96C2×C3⋊(C3⋊C8)C2312yes—
97C3×#217—21no—
98C3×(C2×D3)⋊C4—22no—
99C3×(C2×D3)⋊C4—22no—
100C3×(C2×D3)⋊C4—21no—
101C3×(C2×D3)⋊C4—21no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3C2312yes—
104C3×C4⋊Dic3C2311yescharacteristic
105C3×C4⋊Dic3C2311yescharacteristic
106C3×Dic3⋊C4—21no—
107C3×Dic3⋊C4—21no—
108C3×C4×Dic3—21no—
109C3×C4×Dic3—21no—
110C3×C4×Dic3—21no—
111#3715C2×C418yescomplemented
112#3713C2×C418yescomplemented
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C22×C3×D4—31no—
116C23×C3×C4—61no—
117C2×#235C2×D311yescharacteristic
118C22×D12C2×D311yescharacteristic
119C22×C4×D3—21no—
120C3×C4×Q8—31no—
121C3×C4×Q8—31no—
122C3×C4×D4—31no—
123C3×C4×D4—32no—
124C3×C4×D4—31no—
125C3×C4×D4—32no—
126C3×C4×D4—61no—
127C3×C4×D4—61no—
128C3×C4×D4—61no—
129C3×C4×D4—61no—
130C3×#117—31no—
131C3×#117—61no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C22⋊C4—61no—
134C2×C3×C42—21no—
135C2×C3×C42—61no—
136C2×C3×C42C2×D311yescharacteristic
137C2×C3×C42C2×D311yescharacteristic
138#949—38no—
139C2×#215—32no—
140C2×#214—32no—
141#932—38no—
142C2×#213—32no—
143C2×#213—32no—
144C4×#67—21no—
145C4×#67—21no—
146C2×(C2×D3)⋊C4—21no—
147#926C2×D311yescharacteristic
148C2×C4⋊Dic3C2×D311yescharacteristic
149C2×#208—31no—
150C2×#208—31no—
151C2×#208—31no—
152C2×#208—31no—
153C2×#208—61no—
154C2×#208—61no—
155C4×D12—21no—
156C4×D12—21no—
157C4×D12C2×D312yes—
158C4×D12C2×D312yes—
159C4×D12C2×D311yescharacteristic, complemented
160C4×D12C2×D311yescharacteristic, complemented
161#872—21no—
162C42×D3—21no—
163C4×Dic6C2×D311yescharacteristic, complemented
164C4×Dic6C2×D311yescharacteristic, complemented
165#835—32no—
166#832—32no—
167#832—32no—
168#832—32no—
169#810—32no—
170#809—32no—
171#809—32no—
172#809—32no—
173#808—32no—
174#808—32no—
175#807—32no—
176#807—32no—
177#803—32no—
178#803—32no—
179#803—62no—
180C4×C3⋊C8—32no—
181C4×C3⋊C8—32no—
182C4×C3⋊C8—62no—
183C23×C32C2×D411yescharacteristic
184C22×C3×D3—24no—
185C22×C3×D3—22no—
186C22×C3×D3—21no—
187C22×C3×D3—42no—
188C22×C3×D3—42no—
189C2×C32×C4—22no—
190C2×C32×C4—41no—
191C2×C32×C4C22×C412yes—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2×D411yescharacteristic
197C2×C32×C4#4112yes—
198C2×C32×C4C2411yescharacteristic
199C3×#67—24no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—42no—
205C3×D12—24no—
206C3×D12—22no—
207C3×D12—21no—
208C3×D12C22×C414yes—
209C3×D12C22×C412yescomplemented
210C3×C4×D3—24no—
211C3×C4×D3—42no—
212C3×C4×D3—44no—
213C3×C4×D3—42no—
214C3×C4×D3—44no—
215C3×Dic6—21no—
216C3×Dic6C22×C412yescomplemented
217C3⋊(C3⋊C8)—22no—
218C3⋊(C3⋊C8)C22×C414yescomplemented
219C2×AGL(1,ℤ/8)—91no—
220C4×#41—31no—
221C2×C4×D4—31no—
222#442—92no—
223#440—92no—
224C4×SD16—92no—
225C4×D8—92no—
226#428—91no—
227#418—91no—
228#417—91no—
229C4×M16—91no—
230C24×C3—61no—
231C23×D3—21no—
232C3×#41—34no—
233C3×#41—62no—
234C2×C3×Q8—31no—
235C2×C3×D4—34no—
236C2×C3×D4—31no—
237C2×C3×D4—32no—
238C2×C3×D4—61no—
239C2×C3×D4—62no—
240C2×C3×D4—61no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—61no—
245C22×C3×C4—61no—
246C22×C3×C4—61no—
247C22×C3×C4—61no—
248C22×C3×C4—62no—
249C22×C3×C4—62no—
250C22×C3×C4—124no—
251C22×C3×C4#6711yescharacteristic
252C22×C3×C4#6711yescharacteristic
253C22×C3×C4#6711yescharacteristic
254C22×C3×C4#6711yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C2×#67—21no—
258C22×Dic3—21no—
259#235—22no—
260#235C4×D314yescomplemented
261C2×D12—22no—
262C2×D12—21no—
263C2×D12C4×D314yescomplemented
264C2×D12C22×D312yes—
265C2×D12C22×D311yescharacteristic
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×C4×D3—21no—
269C2×C4×D3—22no—
270C2×C4×D3—22no—
271C2×C4×D3—44no—
272C2×Dic6C22×D311yescharacteristic
273C3×C4⋊C4—31no—
274C3×C4⋊C4—32no—
275C3×C4⋊C4—31no—
276C3×C4⋊C4—61no—
277C3×C4⋊C4—61no—
278C3×C4⋊C4—61no—
279C3×C22⋊C4—61no—
280C3×C22⋊C4—62no—
281C3×C22⋊C4—62no—
282C3×C22⋊C4—61no—
283C3×C22⋊C4—61no—
284C3×C42—21no—
285C3×C42—21no—
286C3×C42—21no—
287C3×C42—21no—
288C3×C42—61no—
289C3×C42—61no—
290C3×C42—61no—
291C3×C42#6711yescharacteristic
292C3×C42#6711yescharacteristic
293C3×C42#6711yescharacteristic
294C3×C42#6711yescharacteristic
295C3×C42C22×D311yescharacteristic
296C3×C42C22×D311yescharacteristic
297C3×C42C22×D311yescharacteristic
298C3×C42C22×D311yescharacteristic
299#217—21no—
300#215—38no—
301#214—38no—
302#213—38no—
303#213—38no—
304(C2×D3)⋊C4—21no—
305(C2×D3)⋊C4—21no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—22no—
308C4⋊Dic3—21no—
309C4⋊Dic3C22×D311yescharacteristic
310C4⋊Dic3C22×D312yes—
311C4⋊Dic3C22×D311yescharacteristic
312Dic3⋊C4—21no—
313Dic3⋊C4—21no—
314C4×Dic3—21no—
315C4×Dic3—21no—
316C4×Dic3—21no—
317#208—34no—
318#208—34no—
319#208—64no—
320#208—64no—
321#208—62no—
322#208—62no—
323C2×C3⋊C8—32no—
324C2×C3⋊C8—32no—
325C2×C3⋊C8—32no—
326C2×C3⋊C8—32no—
327C2×C3⋊C8—62no—
328C2×C3⋊C8—62no—
329C22×C32—21no—
330C22×C32—21no—
331C22×C32C4×D412yes—
332C22×C32C22×D411yescharacteristic
333C2×C3×D3—22no—
334C2×C3×D3—24no—
335C2×C3×D3—48no—
336C2×C3×D3—42no—
337C2×C3×D3—41no—
338C2×C3×D3—41no—
339C2×C3×D3—42no—
340C32×C4—21no—
341C32×C4—21no—
342C32×C4—21no—
343C32×C4C4×D412yes—
344C32×C4AGL(1,ℤ/8)12yescomplemented
345C32×C4C23×C411yescharacteristic
346C32×C4C2×#4111yescharacteristic
347C3×Dic3—22no—
348C3×Dic3—42no—
349C3×Dic3—41no—
350C3×Dic3—41no—
351C2×#41—31no—
352C22×D4—31no—
353C23×C4—61no—
354AGL(1,ℤ/8)—98no—
355C2×SD16—92no—
356C2×D8—92no—
357C2×M16—91no—
358C2×M16—91no—
359C4×Q8—31no—
360C4×Q8—31no—
361C4×D4—32no—
362C4×D4—32no—
363C4×D4—31no—
364C4×D4—31no—
365C4×D4—61no—
366C4×D4—61no—
367C4×D4—61no—
368C4×D4—61no—
369#117—31no—
370#117—61no—
371C2×C4⋊C4—31no—
372C2×C22⋊C4—61no—
373C2×C42—61no—
374C2×C42D3211yescharacteristic
375#107—92no—
376#106—92no—
377#103—92no—
378#102—92no—
379#102—92no—
380#102—92no—
381#97—92no—
382C4×C8—92no—
383C23×C3—21no—
384C23×C3—64no—
385C23×C3—61no—
386C23×C3—62no—
387C23×C3—122no—
388C23×C3—122no—
389C23×C3C2×#6711yescharacteristic
390C23×C3C2×#6711yescharacteristic
391C22×D3—24no—
392C22×D3—21no—
393C22×D3—22no—
394C22×D3—42no—
395C22×D3—42no—
396C3×Q8—32no—
397C3×Q8—61no—
398C3×D4—34no—
399C3×D4—32no—
400C3×D4—64no—
401C3×D4—64no—
402C3×D4—62no—
403C3×D4—61no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—42no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—42no—
418C2×C3×C4—61no—
419C2×C3×C4—64no—
420C2×C3×C4—61no—
421C2×C3×C4—61no—
422C2×C3×C4—62no—
423C2×C3×C4—122no—
424C2×C3×C4—124no—
425C2×C3×C4—122no—
426C2×C3×C4—122no—
427C2×C3×C4—124no—
428C2×C3×C4C2×C4×D312yes—
429C2×C3×C4C2×C4×D312yes—
430C2×C3×C4#23512yes—
431C2×C3×C4#23512yes—
432C2×C3×C4C2×#6711yescharacteristic
433C2×C3×C4C2×#6711yescharacteristic
434C2×C3×C4C2×#6711yescharacteristic
435C2×C3×C4C2×#6711yescharacteristic
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C2×#6711yescharacteristic
438C2×C3×C4C2×#6711yescharacteristic
439C2×C3×C4C2×#6711yescharacteristic
440C2×C3×C4C2×#6711yescharacteristic
441C2×C3×C4C2×#6711yescharacteristic
442C2×C3×C4C23×D311yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444#67—24no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—22no—
449C2×Dic3—42no—
450D12—24no—
451D12—22no—
452D12—21no—
453D12C2×C4×D314yes—
454D12C2×C4×D312yescomplemented
455C4×D3—24no—
456C4×D3—42no—
457C4×D3—44no—
458C4×D3—44no—
459C4×D3—42no—
460Dic6—21no—
461Dic6C2×C4×D312yescomplemented
462C3⋊C8—34no—
463C3⋊C8—34no—
464C3⋊C8—64no—
465C3⋊C8—64no—
466C3⋊C8—62no—
467C3⋊C8—62no—
468C2×C32—22no—
469C2×C32C2×C4×D411yescharacteristic
470C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
471C2×C32#57511yescharacteristic
472C3×D3—42no—
473C3×D3—44no—
474C24—61no—
475#41—34no—
476#41—62no—
477C2×Q8—31no—
478C2×D4—31no—
479C2×D4—32no—
480C2×D4—34no—
481C2×D4—61no—
482C2×D4—62no—
483C2×D4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—62no—
488C22×C4—61no—
489C22×C4—62no—
490C22×C4—124no—
491C22×C4#62511yescharacteristic
492C22×C4#62511yescharacteristic
493C22×C4C2×D3211yescharacteristic
494SD16—98no—
495D8—98no—
496M16—94no—
497M16—182no—
498C2×C8—92no—
499C2×C8—92no—
500C4⋊C4—31no—
501C4⋊C4—31no—
502C4⋊C4—32no—
503C4⋊C4—61no—
504C4⋊C4—61no—
505C4⋊C4—61no—
506C22⋊C4—61no—
507C22⋊C4—62no—
508C22⋊C4—62no—
509C22⋊C4—61no—
510C22⋊C4—61no—
511C42—61no—
512C42—61no—
513C42—61no—
514C42#62511yescharacteristic
515C42#62511yescharacteristic
516C42C2×D3211yescharacteristic
517C42C2×D3211yescharacteristic
518C22×C3—21no—
519C22×C3—21no—
520C22×C3—21no—
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—22no—
524C22×C3—41no—
525C22×C3—41no—
526C22×C3—62no—
527C22×C3—64no—
528C22×C3—128no—
529C22×C3—121no—
530C22×C3—122no—
531C22×C3—121no—
532C22×C3—122no—
533C22×C3C4×#6712yes—
534C22×C3C4×#6712yes—
535C22×C3C22×#6711yescharacteristic
536C22×C3C22×#6711yescharacteristic
537C2×D3—22no—
538C2×D3—24no—
539C2×D3—48no—
540C2×D3—42no—
541C2×D3—41no—
542C2×D3—41no—
543C2×D3—42no—
544C3×C4—22no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—21no—
550C3×C4—21no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—22no—
554C3×C4—22no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—62no—
558C3×C4—121no—
559C3×C4—122no—
560C3×C4—121no—
561C3×C4C4×#6712yes—
562C3×C4C4×#6712yes—
563C3×C4#93212yescomplemented
564C3×C4#94912yescomplemented
565C3×C4C22×C4×D311yescharacteristic
566C3×C4C22×C4×D311yescharacteristic
567C3×C4C2×#23511yescharacteristic
568C3×C4C2×#23511yescharacteristic
569Dic3—22no—
570Dic3—42no—
571Dic3—41no—
572Dic3—41no—
573C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
574C23—61no—
575C23—62no—
576C23—64no—
577C23—122no—
578C23—122no—
579C23C2×#62511yescharacteristic
580Q8—32no—
581Q8—61no—
582D4—32no—
583D4—34no—
584D4—64no—
585D4—62no—
586D4—61no—
587D4—64no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—61no—
591C2×C4—64no—
592C2×C4—61no—
593C2×C4—61no—
594C2×C4—62no—
595C2×C4—124no—
596C2×C4—122no—
597C2×C4—122no—
598C2×C4—124no—
599C2×C4—122no—
600C2×C4#379812yes—
601C2×C4C4×D3212yes—
602C2×C4C2×#62511yescharacteristic
603C2×C4C2×#62511yescharacteristic
604C2×C4C2×#62511yescharacteristic
605C2×C4C2×#62511yescharacteristic
606C2×C4C2×#62511yescharacteristic
607C2×C4C22×D3211yescharacteristic
608C8—94no—
609C8—182no—
610C2×C3—22no—
611C2×C3—22no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—42no—
616C2×C3—124no—
617C2×C3—122no—
618C2×C3C2×C4×#6711yescharacteristic
619C2×C3C2×C4×#6711yescharacteristic
620C2×C3C2×#93211yescharacteristic
621C2×C3C2×#94911yescharacteristic
622C2×C3#582211yescharacteristic
623C2×C3#582211yescharacteristic
624D3—42no—
625D3—44no—
626C22—21no—
627C22—21no—
628C22—62no—
629C22—64no—
630C22—128no—
631C22—122no—
632C22—121no—
633C22—121no—
634C22—122no—
635C22C4×#62512yes—
636C22C22×#62511yescharacteristic
637C4—21no—
638C4—21no—
639C4—21no—
640C4—62no—
641C4—122no—
642C4—121no—
643C4—121no—
644C4#6382312yesdirect product factor
645C4C4×#62512yes—
646C4C2×#379811yescharacteristic
647C4C2×C4×D3211yescharacteristic
648C3—21no—
649C3C4×#93211yescharacteristic, complemented
650C3C4×#94911yescharacteristic, complemented
651C2—22no—
652C2—124no—
653C2—122no—
654C2C2×#6382311yescharacteristic
655C2#1059478611yescharacteristic
656C2C2×C4×#62511yescharacteristic
subgroupG/H
centerC2×C4C2×#625
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×C42C22
socleC22×C32C22×D4
prime radicalC2×#63823C2
cosocleC2×C32×C4C24
hypercenterC2×C42D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C3×C4×#235C2semidirect
2. C2×C3×C4×D12C2semidirect
4. C4×#3748C2semidirect
5. #10591139C2semidirect
6. #10591087C2semidirect
7. #10591085C2semidirect
8. #10590358C2semidirect
9. C4×#3715C2semidirect
10. #10590344C2semidirect
11. C4×#3713C2semidirect
29. C3×C4×D12C22semidirect
30. C3×C4×D12C22semidirect
33. C3×C4×Dic6C22semidirect
34. C3×C4×Dic6C22semidirect
36. #63823C4direct (N × H)
38. #63630C22semidirect
39. C4×C3⋊(C3⋊C8)C22semidirect
40. #63576C22semidirect
41. #63574C22semidirect
42. #63565C22semidirect
45. #63562C22semidirect
50. C4×#235D3semidirect
51. C2×C4×D12D3semidirect
76. C3×#235C2×C4semidirect
79. C2×C3×D12C2×C4semidirect
94. #3748C2×C4semidirect
111. #3715C2×C4semidirect
112. #3713C2×C4semidirect
159. C4×D12C2×D3semidirect
160. C4×D12C2×D3semidirect
163. C4×Dic6C2×D3semidirect
164. C4×Dic6C2×D3semidirect
209. C3×D12C22×C4semidirect
216. C3×Dic6C22×C4semidirect
218. C3⋊(C3⋊C8)C22×C4semidirect
260. #235C4×D3semidirect
263. C2×D12C4×D3semidirect
344. C32×C4AGL(1,ℤ/8)semidirect
454. D12C2×C4×D3semidirect
461. Dic6C2×C4×D3semidirect
563. C3×C4#932semidirect
564. C3×C4#949semidirect
573. C32C4×AGL(1,ℤ/8)semidirect
644. C4#63823direct (N × H)
649. C3C4×#932semidirect
650. C3C4×#949semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#2352
C2×C3×C4×D122
C2×#638232
C4×#37482
#105911392
#105910872
#105910852
#105903582
C4×#37152
#105903442
C4×#37132
C4×#9493
C4×#9323