Finite Group Databasebeta

← D12×#213 #11885748

Subgroups — D12×#213 #11885748

Order 1152.

1310 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×D12C211yesmaximal, characteristic, complemented
2C2×D3×#213C212yesmaximal, complemented
3D122C211yesmaximal, characteristic, complemented
4#10592714C211yesmaximal, characteristic, complemented
5C3×C4×#213C211yesmaximal, characteristic, complemented
6#10591448C212yesmaximal, complemented
7#10590595C212yesmaximal, complemented
8#10590576C212yesmaximal, complemented
9#10590350C211yesmaximal, characteristic, complemented
10#10590347C211yesmaximal, characteristic, complemented
11C3⋊C8×D12C211yesmaximal, characteristic, complemented
12D4×#213—31nomaximal
13D8×D12—31nomaximal
14C2×C3×D3×D4C2212yescomplemented
15C22×C3×D12—21no—
16C2×D3×D12—21no—
17C2×D3×D12C2212yescomplemented
18C32×C4×D4C2211yescharacteristic, complemented
19C2×#3753C2212yescomplemented
20#64083C2211yescharacteristic, complemented
21C2×C3×#213C2211yescharacteristic
22C3×#930—21no—
23C3×#895C2212yescomplemented
24C3×#882—22no—
25C3×#874C2211yescharacteristic, complemented
26C3×C4×D12C2211yescharacteristic
27C3×C4×D12C2211yescharacteristic, complemented
28D3×#213—28no—
29#63923—22no—
30#63909—21no—
31#63909C2212yescomplemented
32C2×#3714C2212yescomplemented
33C2×#3714C2212yescomplemented
34C2×#3713C2212yescomplemented
35C2×D3×C3⋊C8C2212yescomplemented
36#63636C2212yescomplemented
37C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
38C3×#832C2211yescharacteristic, complemented
39C3×#809C2211yescharacteristic, complemented
40C3×#807C2211yescharacteristic, complemented
41C3×C4×C3⋊C8C2211yescharacteristic, complemented
42#63562C2212yescomplemented
43(C2×D3)⋊(C3⋊C8)C2212yescomplemented
44C3×D42—31no—
45C22×#213—32no—
46C2×D3×D8—32no—
47D4×D12—31no—
48D4×D12—31no—
49D4×D12D311yescharacteristic, complemented
50C3×C4×D8—31no—
51#5217—32no—
52#5073—31no—
53#5072—31no—
54#5038—32no—
55#5036—32no—
56#5015—31no—
57#5015—31no—
58#5015—31no—
59#5015—61no—
60C4×#213D311yescharacteristic, complemented
61D4×C3⋊C8—31no—
62#4883—32no—
63#4773—32no—
64#4773—32no—
65#4695—31no—
66C8×D12—31no—
67C23×C3×D3—22no—
68C22×D32—22no—
69C2×C32×D4C2311yescharacteristic
70C22×C32×C4—21no—
71C2×C4⋊(C3⋊D3)—21no—
72C2×C4⋊(C3⋊D3)—21no—
73C2×C4⋊(C3⋊D3)C2312yes—
74C2×C3×#67—22no—
75C3×D3×D4—24no—
76C3×D3×D4—42no—
77C2×C3×D12—22no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12—44no—
81C2×C3×D12D411yescharacteristic
82C2×C3×D12C2312yes—
83C2×C3×D12C2311yescharacteristic
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3C2312yes—
86C2×#626—22no—
87C2×#626—22no—
88D3×D12—24no—
89D3×D12—42no—
90D3×D12—44no—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C32×C42C2311yescharacteristic
94#3753—24no—
95C2×C3⋊(C3⋊C8)C2312yes—
96C3×#213D414yescomplemented
97C3×(C2×D3)⋊C4—21no—
98C3×(C2×D3)⋊C4—22no—
99C3×(C2×D3)⋊C4D412yes—
100C3×C4⋊Dic3D411yescharacteristic
101C3×C4⋊Dic3C2311yescharacteristic
102C2×C3×C3⋊C8C2311yescharacteristic
103C2×C3×C3⋊C8C2311yescharacteristic
104#3722—22no—
105#3714—24no—
106#3714—42no—
107#3713—24no—
108D3×C3⋊C8—24no—
109D4×D8—91noSylow
110C22×C3×D4—32no—
111C22×C3×D4—61no—
112C2×D3×D4—32no—
113C2×D3×D4—61no—
114C2×D3×D4C2×D312yescomplemented
115C22×D12—21no—
116C22×D12—32no—
117C22×D12—61no—
118C2×C3×D8—31no—
119C3×#127—31no—
120C3×#121—32no—
121C3×#121—61no—
122C3×#120—62no—
123C3×C4×D4—21no—
124C3×C4×D4—31no—
125C3×C4×D4—31no—
126C3×C4×D4C2×D311yescharacteristic, complemented
127C3×C4×D4C2×D311yescharacteristic, complemented
128C2×#213—32no—
129C2×#213—32no—
130C2×#213—32no—
131C2×#213—32no—
132C2×#213—32no—
133C2×#213—32no—
134C2×#213—62no—
135C2×#213—68no—
136C2×#213C2×D311yescharacteristic
137#930—21no—
138#930—32no—
139#930—61no—
140C22×C3⋊C8—32no—
141D3×D8—68no—
142C2×D24—32no—
143C2×D24—32no—
144C2×D3×C8—32no—
145#895—32no—
146#895—61no—
147#895C2×D312yescomplemented
148#882—22no—
149#882—62no—
150#882—62no—
151#874—31no—
152#874—31no—
153#874—61no—
154#874C2×D311yescharacteristic, complemented
155C4×D12C2×D311yescharacteristic
156C4×D12C2×D311yescharacteristic, complemented
157C3×#107—31no—
158C3×#102—31no—
159C3×#102—31no—
160C3×C4×C8—31no—
161#832—32no—
162#832C2×D311yescharacteristic, complemented
163#830—32no—
164(C2×D3)⋊C8—32no—
165#809—32no—
166#809—32no—
167#809—32no—
168#809—62no—
169#809C2×D311yescharacteristic, complemented
170#807C2×D311yescharacteristic, complemented
171C4⋊(C3⋊C8)—31no—
172C4⋊(C3⋊C8)—31no—
173C4⋊(C3⋊C8)—61no—
174C4×C3⋊C8C2×D311yescharacteristic, complemented
175C23×C32—21no—
176C22×C3⋊D3—22no—
177C22×C3×D3—21no—
178C22×C3×D3—22no—
179C22×C3×D3—44no—
180C22×C3×D3—44no—
181C22×C3×D3—82no—
182C22×C3×D3C2×D412yes—
183C2×D32—44no—
184C2×D32—44no—
185C2×D32—82no—
186C32×D4—21no—
187C32×D4C2×D412yescomplemented
188C2×C32×C4—21no—
189C2×C32×C4—42no—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2×D411yescharacteristic
192C2×C32×C4C2411yescharacteristic
193C4⋊(C3⋊D3)—22no—
194C4⋊(C3⋊D3)—22no—
195C4⋊(C3⋊D3)—42no—
196C4⋊(C3⋊D3)—81no—
197C3×#67—44no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3C2×D412yes—
200C3×D12—22no—
201C3×D12—21no—
202C3×D12—22no—
203C3×D12—44no—
204C3×D12—42no—
205C3×D12—81no—
206C3×D12D814yescomplemented
207C3×D12C2×D412yescomplemented
208C3×C4×D3—22no—
209C3×C4×D3—22no—
210C3×C4×D3—42no—
211#626—44no—
212#626—44no—
213C3⋊(C3⋊C8)—22no—
214C3×C3⋊C8—21no—
215C3×C3⋊C8C2×D412yescomplemented
216C22×D8—92no—
217D42—31no—
218D42—91no—
219#493—91no—
220#466—92no—
221#459—91no—
222#459—91no—
223#447—92no—
224#447—92no—
225C4×D8—31no—
226C8×D4—91no—
227C24×C3—62no—
228C23×D3—22no—
229C23×D3—62no—
230C23×D3—62no—
231C2×C3×D4—21no—
232C2×C3×D4—31no—
233C2×C3×D4—31no—
234C2×C3×D4—32no—
235C2×C3×D4—62no—
236C2×C3×D4—62no—
237C2×C3×D4—64no—
238C2×C3×D4—61no—
239C2×C3×D4—61no—
240C2×C3×D4—124no—
241C2×C3×D4—122no—
242C2×C3×D4C22×D311yescharacteristic
243C2×C3×D4C22×D311yescharacteristic
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—32no—
247C22×C3×C4—41no—
248C22×C3×C4—61no—
249C2×#67—22no—
250C2×#67—62no—
251C2×#67—62no—
252D3×D4—24no—
253D3×D4—42no—
254D3×D4—64no—
255D3×D4—122no—
256D3×D4—124no—
257C2×D12—22no—
258C2×D12—21no—
259C2×D12—21no—
260C2×D12—32no—
261C2×D12—32no—
262C2×D12—44no—
263C2×D12—62no—
264C2×D12—64no—
265C2×D12—62no—
266C2×D12—62no—
267C2×D12—61no—
268C2×D12—61no—
269C2×D12—61no—
270C2×D12—61no—
271C2×D12—121no—
272C2×D12—121no—
273C2×D12—122no—
274C2×D12—124no—
275C2×D12#6711yescharacteristic
276C2×D12C22×D312yes—
277C2×D12C22×D311yescharacteristic
278C2×C4×D3—21no—
279C2×C4×D3C22×D312yes—
280C3×D8—34no—
281C2×C3×C8—31no—
282C2×C3×C8—31no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—31no—
285C3×C4⋊C4—31no—
286C3×C4⋊C4C22×D311yescharacteristic
287C3×C4⋊C4C22×D311yescharacteristic
288C3×C22⋊C4—21no—
289C3×C22⋊C4—21no—
290C3×C22⋊C4—32no—
291C3×C22⋊C4—41no—
292C3×C22⋊C4—62no—
293C3×C22⋊C4—61no—
294C3×C42—21no—
295C3×C42C22×D311yescharacteristic
296C3×C42C22×D311yescharacteristic
297#213—64no—
298#213—64no—
299#213—64no—
300#213—64no—
301#213—64no—
302#213—124no—
303#213—122no—
304#213D1214yesdirect product factor
305(C2×D3)⋊C4—21no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—62no—
308(C2×D3)⋊C4—62no—
309(C2×D3)⋊C4#6712yes—
310C4⋊Dic3#6711yescharacteristic
311C4⋊Dic3C22×D311yescharacteristic
312C2×C3⋊C8—32no—
313C2×C3⋊C8—32no—
314C2×C3⋊C8—62no—
315C2×C3⋊C8—64no—
316C2×C3⋊C8C22×D311yescharacteristic
317C2×C3⋊C8C22×D311yescharacteristic
318D24—64no—
319D24—122no—
320D3×C8—64no—
321C22×C32—22no—
322C22×C32—41no—
323C22×C32—41no—
324C22×C32C22×D411yescharacteristic
325C2×C3⋊D3—42no—
326C2×C3⋊D3—42no—
327C2×C3⋊D3—42no—
328C2×C3×D3—22no—
329C2×C3×D3—22no—
330C2×C3×D3—22no—
331C2×C3×D3—41no—
332C2×C3×D3—41no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C2×C3×D3—42no—
336C2×C3×D3—88no—
337C2×C3×D3C2×D814yescomplemented
338D32—88no—
339C32×C4—21no—
340C32×C4—41no—
341C32×C4C2×D812yescomplemented
342C32×C4C22×D411yescharacteristic
343C32×C4H(5,𝔽2)11yescharacteristic
344C3×Dic3—22no—
345C3×Dic3—41no—
346C22×D4—32no—
347C22×D4—61no—
348C22×D4—92no—
349C22×D4—181no—
350C2×D8—31no—
351C2×D8—92no—
352C2×D8—92no—
353C2×D8—92no—
354C2×D8—92no—
355C2×D8—188no—
356C22×C8—92no—
357#127—31no—
358#127—91no—
359#121—32no—
360#121—61no—
361#121—92no—
362#121—181no—
363#120—62no—
364#120—182no—
365C4×D4—31no—
366C4×D4—31no—
367C4×D4D3211yescharacteristic, complemented
368#107—31no—
369C4⋊C8—91no—
370#102—31no—
371#102—31no—
372#102—92no—
373#102—92no—
374C22⋊C8—92no—
375C4×C8—31no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—32no—
379C23×C3—41no—
380C23×C3—61no—
381C23×C3—62no—
382C23×C3—124no—
383C23×C3—124no—
384C23×C3—242no—
385C22×D3—21no—
386C22×D3—22no—
387C22×D3—44no—
388C22×D3—44no—
389C22×D3—62no—
390C22×D3—62no—
391C22×D3—82no—
392C22×D3—122no—
393C22×D3—124no—
394C22×D3—124no—
395C22×D3—124no—
396C22×D3—124no—
397C22×D3—242no—
398C22×D3—242no—
399C22×D3C2×#6712yes—
400C3×D4—21no—
401C3×D4—21no—
402C3×D4—22no—
403C3×D4—34no—
404C3×D4—32no—
405C3×D4—41no—
406C3×D4—62no—
407C3×D4—61no—
408C3×D4—62no—
409C3×D4—124no—
410C3×D4—124no—
411C3×D4—122no—
412C3×D4—241no—
413C3×D4C2×D1212yescomplemented
414C3×D4D3×D412yescomplemented
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—32no—
421C2×C3×C4—41no—
422C2×C3×C4—42no—
423C2×C3×C4—42no—
424C2×C3×C4—62no—
425C2×C3×C4—62no—
426C2×C3×C4—61no—
427C2×C3×C4—82no—
428C2×C3×C4—122no—
429C2×C3×C4D3×D411yescharacteristic
430C2×C3×C4D3×D411yescharacteristic
431C2×C3×C4C2×#6711yescharacteristic
432C2×C3×C4C2×#6711yescharacteristic
433C2×C3×C4C23×D311yescharacteristic
434C2×C3×C4C23×D311yescharacteristic
435#67—44no—
436#67—124no—
437#67—124no—
438C2×Dic3—21no—
439C2×Dic3C2×#6712yes—
440D12—22no—
441D12—22no—
442D12—21no—
443D12—44no—
444D12—42no—
445D12—62no—
446D12—62no—
447D12—62no—
448D12—62no—
449D12—81no—
450D12—122no—
451D12—122no—
452D12—124no—
453D12—124no—
454D12—122no—
455D12—122no—
456D12—242no—
457D12—241no—
458D12—241no—
459D12—242no—
460D12#21314yesdirect product factor
461D12C2×D1212yescomplemented
462C4×D3—22no—
463C4×D3—22no—
464C4×D3—42no—
465C3×C8—32no—
466C3×C8—61no—
467C3⋊C8—21no—
468C3⋊C8—62no—
469C3⋊C8—62no—
470C3⋊C8—122no—
471C3⋊C8C2×D1212yescomplemented
472C2×C32—42no—
473C2×C32D4211yescharacteristic
474C2×C32C22×D811yescharacteristic
475C2×C32#57611yescharacteristic
476C3⋊D3—82no—
477C3×D3—24no—
478C3×D3—42no—
479C3×D3—82no—
480C24—62no—
481C24—182no—
482C2×D4—31no—
483C2×D4—32no—
484C2×D4—31no—
485C2×D4—62no—
486C2×D4—62no—
487C2×D4—64no—
488C2×D4—61no—
489C2×D4—61no—
490C2×D4—92no—
491C2×D4—124no—
492C2×D4—122no—
493C2×D4—182no—
494C2×D4—184no—
495C2×D4—182no—
496C2×D4—181no—
497C2×D4—181no—
498C2×D4—362no—
499C2×D4—364no—
500C2×D4C2×D3211yescharacteristic
501C22×C4—21no—
502C22×C4—32no—
503C22×C4—61no—
504D8—34no—
505D8—184no—
506D8—184no—
507D8—184no—
508D8—362no—
509C2×C8—31no—
510C2×C8—31no—
511C2×C8—92no—
512C2×C8—184no—
513C4⋊C4—31no—
514C4⋊C4—31no—
515C4⋊C4C2×D3211yescharacteristic
516C22⋊C4—21no—
517C22⋊C4—32no—
518C22⋊C4—62no—
519C22⋊C4—61no—
520C22⋊C4—182no—
521C42C2×D3211yescharacteristic
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—21no—
525C22×C3—34no—
526C22×C3—42no—
527C22×C3—41no—
528C22×C3—41no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—62no—
532C22×C3—62no—
533C22×C3—62no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3—121no—
537C22×C3—121no—
538C22×C3—122no—
539C22×C3—122no—
540C22×C3—122no—
541C22×C3—248no—
542C22×C3C2×D3×D411yescharacteristic
543C22×C3C22×#6711yescharacteristic
544C2×D3—22no—
545C2×D3—22no—
546C2×D3—22no—
547C2×D3—41no—
548C2×D3—41no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—88no—
553C2×D3—122no—
554C2×D3—122no—
555C2×D3—122no—
556C2×D3—122no—
557C2×D3—122no—
558C2×D3—122no—
559C2×D3—242no—
560C2×D3—242no—
561C2×D3—242no—
562C2×D3—248no—
563C2×D3—248no—
564C2×D3C2×#21314yescomplemented
565C3×C4—21no—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—22no—
570C3×C4—41no—
571C3×C4—41no—
572C3×C4—41no—
573C3×C4—62no—
574C3×C4—81no—
575C3×C4—121no—
576C3×C4D3×D812yescomplemented
577C3×C4C2×#21312yescomplemented
578C3×C4C22×D1211yescharacteristic
579C3×C4C2×D3×D411yescharacteristic
580C3×C4#100411yescharacteristic
581C3×C4#100911yescharacteristic
582Dic3—22no—
583Dic3—41no—
584C32D4×D811yescharacteristic, complemented, Sylow
585C23—21no—
586C23—32no—
587C23—61no—
588C23—62no—
589C23—124no—
590C23—124no—
591C23—182no—
592C23—242no—
593C23—364no—
594C23—364no—
595C23—722no—
596D4—21no—
597D4—32no—
598D4—34no—
599D4—62no—
600D4—61no—
601D4—62no—
602D4—124no—
603D4—124no—
604D4—122no—
605D4—182no—
606D4—182no—
607D4—241no—
608D4—364no—
609D4—364no—
610D4—362no—
611D4—721no—
612D4D3×D1212yescomplemented
613C2×C4—21no—
614C2×C4—32no—
615C2×C4—42no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—61no—
619C2×C4—122no—
620C2×C4D3×#6711yescharacteristic
621C2×C4D3×#6711yescharacteristic
622C2×C4C22×D3211yescharacteristic
623C8—32no—
624C8—61no—
625C8—182no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—21no—
629C2×C3—42no—
630C2×C3—42no—
631C2×C3—64no—
632C2×C3—82no—
633C2×C3—122no—
634C2×C3—242no—
635C2×C3D4×D1211yescharacteristic
636C2×C3C2×D3×D811yescharacteristic
637C2×C3#576911yescharacteristic
638C2×C3C22×#21311yescharacteristic
639C2×C3D4×#6711yescharacteristic
640C2×C3#583511yescharacteristic
641D3—24no—
642D3—42no—
643D3—82no—
644D3—242no—
645D3—242no—
646D3—482no—
647C22—22no—
648C22—34no—
649C22—41no—
650C22—41no—
651C22—62no—
652C22—62no—
653C22—62no—
654C22—121no—
655C22—121no—
656C22—122no—
657C22—122no—
658C22—122no—
659C22—248no—
660C22—362no—
661C22—362no—
662C22—362no—
663C22—728no—
664C22C2×D3×#6711yescharacteristic
665C4—21no—
666C4—41no—
667C4—62no—
668C4—121no—
669C4D3×#21312yescomplemented
670C4C2×D3×D1211yescharacteristic
671C4#6430711yescharacteristic
672C3—21no—
673C3D8×D1211yescharacteristic, complemented
674C3D4×#21311yescharacteristic, complemented
675C2—42no—
676C2—64no—
677C2—122no—
678C2—242no—
679C2—722no—
680C2D12×#6711yescharacteristic
681C2C2×D3×#21311yescharacteristic
682C2#1059545611yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32D4×D8
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×D4×D12C2semidirect
2. C2×D3×#213C2semidirect
3. D122C2semidirect
4. #10592714C2semidirect
5. C3×C4×#213C2semidirect
6. #10591448C2semidirect
7. #10590595C2semidirect
8. #10590576C2semidirect
9. #10590350C2semidirect
10. #10590347C2semidirect
11. C3⋊C8×D12C2semidirect
14. C2×C3×D3×D4C22semidirect
17. C2×D3×D12C22semidirect
18. C32×C4×D4C22semidirect
19. C2×#3753C22semidirect
20. #64083C22semidirect
23. C3×#895C22semidirect
25. C3×#874C22semidirect
27. C3×C4×D12C22semidirect
31. #63909C22semidirect
32. C2×#3714C22semidirect
33. C2×#3714C22semidirect
34. C2×#3713C22semidirect
35. C2×D3×C3⋊C8C22semidirect
36. #63636C22semidirect
37. C4⋊(C3⋊(C3⋊C8))C22semidirect
38. C3×#832C22semidirect
39. C3×#809C22semidirect
40. C3×#807C22semidirect
41. C3×C4×C3⋊C8C22semidirect
42. #63562C22semidirect
43. (C2×D3)⋊(C3⋊C8)C22semidirect
49. D4×D12D3semidirect
60. C4×#213D3semidirect
96. C3×#213D4semidirect
114. C2×D3×D4C2×D3semidirect
126. C3×C4×D4C2×D3semidirect
127. C3×C4×D4C2×D3semidirect
147. #895C2×D3semidirect
154. #874C2×D3semidirect
156. C4×D12C2×D3semidirect
162. #832C2×D3semidirect
169. #809C2×D3semidirect
170. #807C2×D3semidirect
174. C4×C3⋊C8C2×D3semidirect
187. C32×D4C2×D4semidirect
206. C3×D12D8semidirect
207. C3×D12C2×D4semidirect
215. C3×C3⋊C8C2×D4semidirect
304. #213D12direct (N × H)
337. C2×C3×D3C2×D8semidirect
341. C32×C4C2×D8semidirect
367. C4×D4D32semidirect
413. C3×D4C2×D12semidirect
414. C3×D4D3×D4semidirect
460. D12#213direct (N × H)
461. D12C2×D12semidirect
471. C3⋊C8C2×D12semidirect
564. C2×D3C2×#213semidirect
576. C3×C4D3×D8semidirect
577. C3×C4C2×#213semidirect
584. C32D4×D8semidirect
612. D4D3×D12semidirect
669. C4D3×#213semidirect
673. C3D8×D12semidirect
674. C3D4×#213semidirect

Maximal subgroups

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

subgroupindex
C3×D4×D122
C2×D3×#2132
D1222
#105927142
C3×C4×#2132
#105914482
#105905952
#105905762
#105903502
#105903472
C3⋊C8×D122
D4×#2133
D8×D123