Finite Group Databasebeta

← #11784869

Subgroups — #11784869

Order 1152.

1325 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2C2×#63664C211yesmaximal, characteristic, complemented
3C3×#5232C211yesmaximal, characteristic, complemented
4#10591323C211yesmaximal, characteristic, complemented
5C2×#63568C211yesmaximal, characteristic, complemented
6#10591087C211yesmaximal, characteristic, complemented
7C2×#63558C211yesmaximal, characteristic, complemented
8#72140—31nomaximal
9#70305—31nomaximal
10C2×C32×#41C2211yescharacteristic
11C3×#1009—22no—
12C3×#1009—22no—
13C3×#1009—22no—
14C3×#1009C414yescomplemented
15C2×C3×#239—21no—
16C2×C3×D3×D4—21no—
17C2×C3×D3×D4—22no—
18C2×C3×#235—21no—
19C2×C3×#235C2211yescharacteristic
20C22×C3×D12—21no—
21C22×C3×D12C2211yescharacteristic
22C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
23C2×#3748C2211yescharacteristic, complemented
24C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
25C2×C3×#208C2211yescharacteristic, complemented
26C2×(C2×D3)⋊Dic3—22no—
27#63664—22no—
28C3×#835—21no—
29C3×#832—21no—
30#63568—22no—
31#63565—21no—
32#63562—21no—
33#63558—22no—
34C2×C3×H(5,𝔽2)—31no—
35C2×#1009D311yescharacteristic
36C3×#417—31no—
37C2×#837—31no—
38C2×#837—31no—
39C2×#837—31no—
40C2×#837—61no—
41#5232—31no—
42#5232D311yescharacteristic, complemented
43#5221—31no—
44C2×#833—31no—
45C2×#825—31no—
46C2×#823—31no—
47#4988—31no—
48#4966—31no—
49C23×C3×D3—22no—
50C23×C3×D3D412yes—
51C32×#41—21no—
52C32×#41—21no—
53C32×#41C2×C412yes—
54C32×#41D412yes—
55C2×C32×Q8D411yescharacteristic
56C2×C32×D4—21no—
57C2×C32×D4D411yescharacteristic
58C22×C32×C4—21no—
59C22×C32×C4C2311yescharacteristic
60C22×C3⋊Dic3—21no—
61C2×C3×#67—22no—
62C2×C3×#67—21no—
63C22×C3×Dic3—21no—
64C3×#239—24no—
65C3×#239—24no—
66C3×D3×D4—28no—
67C3×D3×D4—24no—
68C3×D3×D4—28no—
69C3×D3×D4—24no—
70C3×#235—24no—
71C3×#235—21no—
72C3×#235—21no—
73C3×#235—24no—
74C3×#235C2×C412yes—
75C3×#235D412yes—
76C2×C3×D12—22no—
77C2×C3×D12—24no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12—21no—
81C2×C3×D12—21no—
82C2×C3×D12—24no—
83C2×C3×D12C2×C412yes—
84C2×C3×D12D412yes—
85C2×C3×D12D411yescharacteristic
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—21no—
88C2×C3×Dic6D411yescharacteristic
89C4×C3⋊Dic3—21no—
90C4×C3⋊Dic3—21no—
91#3748—21no—
92#3748—21no—
93C2×C3⋊(C3⋊C8)—21no—
94C3×C4⋊Dic3—21no—
95C3×C4⋊Dic3—21no—
96C3×#208—21no—
97C3×#208—21no—
98C2×C3×C3⋊C8—21no—
99(C2×D3)⋊Dic3—44no—
100#1792—91noSylow
101C3×H(5,𝔽2)—34no—
102C3×H(5,𝔽2)—62no—
103C3×H(5,𝔽2)—62no—
104C3×H(5,𝔽2)—62no—
105C2×C3×#41—21no—
106C2×C3×#41—31no—
107C2×C3×#41—61no—
108C2×C3×#41—61no—
109C2×C3×#41C2×D311yescharacteristic
110C2×C3×#41C2×D311yescharacteristic
111C22×C3×D4—31no—
112C22×C3×D4—61no—
113C22×C3×D4—62no—
114C22×C3×D4—61no—
115#1009—22no—
116#1009—22no—
117#1009—22no—
118#1009Dic314yescomplemented
119C2×#239—21no—
120C2×D3×D4—22no—
121C2×D3×D4—21no—
122C2×#235—21no—
123C2×#235C2×D311yescharacteristic
124C22×D12—21no—
125C22×D12C2×D311yescharacteristic
126C2×C3×M16—31no—
127C2×C3×C4⋊C4—31no—
128C2×#217—62no—
129C2×(C2×D3)⋊C4—62no—
130C2×C4⋊Dic3C2×D311yescharacteristic, complemented
131C2×C4×Dic3—31no—
132C2×C4×Dic3—31no—
133C2×C4×Dic3—61no—
134C2×#208—31no—
135C2×#208—31no—
136C2×#208—61no—
137C2×#208C2×D311yescharacteristic, complemented
138C3×#103—61no—
139C3×#102—61no—
140#837—62no—
141#837—64no—
142#837—62no—
143#837—62no—
144#835—21no—
145#835—61no—
146#833—62no—
147#832—21no—
148#832—61no—
149#825—62no—
150#823—62no—
151#810—61no—
152#809—61no—
153C23×C32—21no—
154C23×C32C2×D411yescharacteristic
155C22×C3×D3—21no—
156C22×C3×D3—22no—
157C22×C3×D3—28no—
158C22×C3×D3—22no—
159C22×C3×D3—42no—
160C22×C3×D3—42no—
161C22×C3×D3—82no—
162C22×C3×D3—82no—
163C22×C3×D3C22⋊C414yes—
164C32×Q8—21no—
165C32×Q8C22⋊C412yescomplemented
166C32×D4—22no—
167C32×D4—22no—
168C32×D4—21no—
169C32×D4C22⋊C412yescomplemented
170C2×C32×C4—21no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4C22×C411yescharacteristic
174C2×C32×C4C2×D411yescharacteristic
175C2×C32×C4C2×D411yescharacteristic
176C2×C32×C4C2×D411yescharacteristic
177C2×C32×C4C2×D411yescharacteristic
178C2×C32×C4C2×D411yescharacteristic
179C2×C3⋊Dic3—22no—
180C2×C3⋊Dic3—41no—
181C2×C3⋊Dic3—41no—
182C3×#67—28no—
183C3×#67—22no—
184C3×#67—22no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—42no—
187C2×C3×Dic3—41no—
188C3×D12—28no—
189C3×D12—22no—
190C3×D12—22no—
191C3×D12—22no—
192C3×D12—21no—
193C3×D12—22no—
194C3×D12C22⋊C412yescomplemented
195C3×C4×D3—28no—
196C3×C4×D3—22no—
197C3×C4×D3—22no—
198C3×Dic6—21no—
199C3×Dic6C22⋊C412yescomplemented
200C3⋊(C3⋊C8)—41no—
201C3×C3⋊C8—41no—
202C2×H(5,𝔽2)—31no—
203C2×#104—91no—
204C2×#104—91no—
205#417—31no—
206#417—91no—
207C2×#100—91no—
208#390—91no—
209C24×C3—32no—
210C24×C3—62no—
211C23×D3—22no—
212C23×D3#6712yes—
213C3×#41—21no—
214C3×#41—21no—
215C3×#41—21no—
216C3×#41—21no—
217C3×#41—22no—
218C3×#41—22no—
219C3×#41—32no—
220C3×#41—32no—
221C3×#41—41no—
222C3×#41—41no—
223C3×#41—64no—
224C3×#41—64no—
225C3×#41—64no—
226C3×#41—64no—
227C3×#41—61no—
228C3×#41—61no—
229C3×#41C4×D312yes—
230C3×#41D1212yes—
231C3×#41C2×Dic312yes—
232C3×#41#6712yes—
233C2×C3×Q8—21no—
234C2×C3×Q8—31no—
235C2×C3×Q8#6711yescharacteristic
236C2×C3×Q8#6711yescharacteristic
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—21no—
240C2×C3×D4—32no—
241C2×C3×D4—31no—
242C2×C3×D4—32no—
243C2×C3×D4—41no—
244C2×C3×D4—64no—
245C2×C3×D4—62no—
246C2×C3×D4—64no—
247C2×C3×D4—68no—
248C2×C3×D4—68no—
249C2×C3×D4—64no—
250C2×C3×D4—62no—
251C2×C3×D4—61no—
252C2×C3×D4—64no—
253C2×C3×D4—61no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—61no—
257C2×C3×D4#6711yescharacteristic
258C2×C3×D4#6711yescharacteristic
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—41no—
263C22×C3×C4—62no—
264C22×C3×C4—61no—
265C22×C3×C4—61no—
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D311yescharacteristic
268C2×#67—22no—
269C2×#67—21no—
270C22×Dic3—21no—
271C22×Dic3—61no—
272C22×Dic3—61no—
273C22×Dic3—121no—
274#239—24no—
275#239—24no—
276D3×D4—28no—
277D3×D4—24no—
278D3×D4—28no—
279D3×D4—24no—
280#235—24no—
281#235—21no—
282#235—21no—
283#235—24no—
284#235C2×Dic312yes—
285#235#6712yes—
286C2×D12—22no—
287C2×D12—24no—
288C2×D12—21no—
289C2×D12—21no—
290C2×D12—21no—
291C2×D12—21no—
292C2×D12—24no—
293C2×D12C2×Dic312yes—
294C2×D12#6712yes—
295C2×D12#6711yescharacteristic
296C2×C4×D3—22no—
297C2×C4×D3—21no—
298C2×Dic6#6711yescharacteristic
299C3×M16—61no—
300C3×M16—61no—
301C2×C3×C8—61no—
302C3×C4⋊C4—61no—
303C3×C4⋊C4—61no—
304#217—124no—
305(C2×D3)⋊C4—124no—
306C4⋊Dic3—21no—
307C4⋊Dic3—21no—
308C4×Dic3—62no—
309C4×Dic3—61no—
310C4×Dic3—61no—
311C4×Dic3—61no—
312C4×Dic3—61no—
313C4×Dic3—121no—
314#208—21no—
315#208—21no—
316#208—62no—
317#208—61no—
318#208—61no—
319#208—61no—
320#208—61no—
321#208—121no—
322C2×C3⋊C8—21no—
323C2×C3⋊C8—61no—
324C2×C3⋊C8—61no—
325C2×C3⋊C8—121no—
326C22×C32—21no—
327C22×C32—21no—
328C22×C32—22no—
329C22×C32—41no—
330C22×C32—41no—
331C22×C32C2×C22⋊C411yescharacteristic
332C22×C32#12011yescharacteristic
333C22×C32#12011yescharacteristic
334C2×C3×D3—24no—
335C2×C3×D3—22no—
336C2×C3×D3—42no—
337C2×C3×D3—41no—
338C2×C3×D3—42no—
339C2×C3×D3—41no—
340C2×C3×D3—44no—
341C2×C3×D3—82no—
342C2×C3×D3—88no—
343C32×C4—22no—
344C32×C4C2×C22⋊C411yescharacteristic
345C32×C4C2×C22⋊C411yescharacteristic
346C32×C4#12011yescharacteristic
347C32×C4#12011yescharacteristic
348C3⋊Dic3—42no—
349C3×Dic3—22no—
350C3×Dic3—81no—
351H(5,𝔽2)—34no—
352H(5,𝔽2)—62no—
353H(5,𝔽2)—62no—
354H(5,𝔽2)—62no—
355C2×#41—31no—
356C2×#41—61no—
357C2×#41—61no—
358C2×#41D3211yescharacteristic
359C22×D4—31no—
360C22×D4—61no—
361C22×D4—62no—
362C22×D4—61no—
363C2×M16—31no—
364C2×M16—91no—
365C2×C4⋊C4—31no—
366C2×C22⋊C4—182no—
367C2×C42—91no—
368#104—182no—
369#104—182no—
370#103—61no—
371#103—181no—
372#102—61no—
373#102—181no—
374#100—182no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—34no—
379C23×C3—41no—
380C23×C3—68no—
381C23×C3—61no—
382C23×C3—62no—
383C23×C3—62no—
384C23×C3—122no—
385C23×C3—122no—
386C23×C3—242no—
387C23×C3—242no—
388C23×C3D3×D411yescharacteristic
389C23×C3C2×#6711yescharacteristic
390C22×D3—22no—
391C22×D3—21no—
392C22×D3—28no—
393C22×D3—22no—
394C22×D3—42no—
395C22×D3—42no—
396C22×D3—82no—
397C22×D3—82no—
398C22×D3#21714yes—
399C3×Q8—21no—
400C3×Q8—21no—
401C3×Q8—22no—
402C3×Q8—32no—
403C3×Q8—41no—
404C3×Q8—61no—
405C3×Q8(C2×D3)⋊C412yescomplemented
406C3×Q8#21712yescomplemented
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—21no—
412C3×D4—21no—
413C3×D4—22no—
414C3×D4—32no—
415C3×D4—41no—
416C3×D4—42no—
417C3×D4—42no—
418C3×D4—68no—
419C3×D4—68no—
420C3×D4—62no—
421C3×D4—62no—
422C3×D4—62no—
423C3×D4—61no—
424C3×D4—62no—
425C3×D4—62no—
426C3×D4—62no—
427C3×D4(C2×D3)⋊C412yescomplemented
428C3×D4#21712yescomplemented
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—42no—
442C2×C3×C4—42no—
443C2×C3×C4—41no—
444C2×C3×C4—68no—
445C2×C3×C4—61no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—122no—
449C2×C3×C4—121no—
450C2×C3×C4C2×C4×D311yescharacteristic
451C2×C3×C4C2×D1211yescharacteristic
452C2×C3×C4D3×D411yescharacteristic
453C2×C3×C4D3×D411yescharacteristic
454C2×C3×C4D3×D411yescharacteristic
455C2×C3×C4C22×Dic311yescharacteristic
456C2×C3×C4C2×#6711yescharacteristic
457C2×C3×C4C2×#6711yescharacteristic
458C2×C3×C4C2×#6711yescharacteristic
459C2×C3×C4C2×#6711yescharacteristic
460C2×C3×C4C2×#6711yescharacteristic
461C2×C3×C4C2×#6711yescharacteristic
462#67—28no—
463#67—22no—
464#67—22no—
465C2×Dic3—21no—
466C2×Dic3—42no—
467C2×Dic3—41no—
468C2×Dic3—62no—
469C2×Dic3—62no—
470C2×Dic3—122no—
471C2×Dic3—122no—
472C2×Dic3—121no—
473C2×Dic3—121no—
474C2×Dic3—122no—
475C2×Dic3—121no—
476C2×Dic3—121no—
477D12—28no—
478D12—22no—
479D12—22no—
480D12—22no—
481D12—21no—
482D12—22no—
483D12#21712yescomplemented
484C4×D3—28no—
485C4×D3—22no—
486C4×D3—22no—
487Dic6—21no—
488Dic6#21712yescomplemented
489C3×C8—121no—
490C3⋊C8—41no—
491C3⋊C8—122no—
492C3⋊C8—121no—
493C3⋊C8—121no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—42no—
497C2×C32#37911yescharacteristic
498C2×C32#45311yescharacteristic
499C2×C32#45511yescharacteristic
500C3×D3—44no—
501C3×D3—42no—
502C24—32no—
503C24—62no—
504#41—21no—
505#41—21no—
506#41—32no—
507#41—32no—
508#41—64no—
509#41—64no—
510#41—64no—
511#41—64no—
512#41—61no—
513#41—61no—
514#41D3×Dic312yes—
515#41#62612yes—
516C2×Q8—31no—
517C2×Q8#62511yescharacteristic
518C2×D4—21no—
519C2×D4—32no—
520C2×D4—31no—
521C2×D4—32no—
522C2×D4—64no—
523C2×D4—62no—
524C2×D4—64no—
525C2×D4—68no—
526C2×D4—68no—
527C2×D4—64no—
528C2×D4—62no—
529C2×D4—61no—
530C2×D4—64no—
531C2×D4—61no—
532C2×D4—61no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4#62511yescharacteristic
536C22×C4—21no—
537C22×C4—62no—
538C22×C4—61no—
539C22×C4—61no—
540C22×C4—181no—
541C22×C4C2×D3211yescharacteristic
542M16—61no—
543M16—61no—
544M16—181no—
545M16—181no—
546C2×C8—61no—
547C2×C8—181no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C22⋊C4—364no—
551C42—181no—
552C42—181no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—42no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—62no—
570C22×C3—64no—
571C22×C3—81no—
572C22×C3—81no—
573C22×C3—124no—
574C22×C3—122no—
575C22×C3—121no—
576C22×C3—122no—
577C22×C3—121no—
578C22×C3—242no—
579C22×C3—248no—
580C22×C3D3×C22⋊C411yescharacteristic
581C22×C3#88211yescharacteristic
582C22×C3#93711yescharacteristic
583C22×C3C2×#21711yescharacteristic
584C22×C3#95311yescharacteristic
585C22×C3#95311yescharacteristic
586C2×D3—24no—
587C2×D3—22no—
588C2×D3—42no—
589C2×D3—41no—
590C2×D3—42no—
591C2×D3—41no—
592C2×D3—44no—
593C2×D3—82no—
594C2×D3—88no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—42no—
602C3×C4—62no—
603C3×C4—241no—
604C3×C4D3×C22⋊C411yescharacteristic
605C3×C4#88211yescharacteristic
606C3×C4C2×(C2×D3)⋊C411yescharacteristic
607C3×C4#93711yescharacteristic
608C3×C4C2×#21711yescharacteristic
609C3×C4C2×#21711yescharacteristic
610C3×C4#95311yescharacteristic
611C3×C4#95311yescharacteristic
612Dic3—22no—
613Dic3—81no—
614Dic3—122no—
615Dic3—122no—
616Dic3—124no—
617C32#179211yescharacteristic, complemented, Sylow
618C23—21no—
619C23—34no—
620C23—68no—
621C23—61no—
622C23—62no—
623C23—62no—
624C23—122no—
625C23—122no—
626C23—242no—
627C23—242no—
628C23D3×#6711yescharacteristic
629Q8—21no—
630Q8—32no—
631Q8—61no—
632Q8(C2×D3)⋊Dic312yescomplemented
633D4—22no—
634D4—22no—
635D4—21no—
636D4—32no—
637D4—68no—
638D4—68no—
639D4—62no—
640D4—62no—
641D4—62no—
642D4—62no—
643D4—62no—
644D4—61no—
645D4—62no—
646D4(C2×D3)⋊Dic312yescomplemented
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—68no—
651C2×C4—61no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—122no—
655C2×C4—121no—
656C2×C4—182no—
657C2×C4—361no—
658C2×C4—361no—
659C2×C4C2×D3×Dic311yescharacteristic
660C2×C4C2×#62511yescharacteristic
661C2×C4C2×#62611yescharacteristic
662C2×C4D3×#6711yescharacteristic
663C2×C4D3×#6711yescharacteristic
664C2×C4D3×#6711yescharacteristic
665C8—121no—
666C8—361no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—41no—
675C2×C3—41no—
676C2×C3—42no—
677C2×C3—42no—
678C2×C3—82no—
679C2×C3—124no—
680C2×C3—122no—
681C2×C3#495511yescharacteristic
682C2×C3#519811yescharacteristic
683C2×C3#520211yescharacteristic
684C2×C3#524111yescharacteristic
685C2×C3#524211yescharacteristic
686C2×C3#524711yescharacteristic
687D3—44no—
688D3—42no—
689C22—21no—
690C22—21no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—62no—
695C22—64no—
696C22—124no—
697C22—122no—
698C22—121no—
699C22—122no—
700C22—121no—
701C22—242no—
702C22—248no—
703C22D3×#21711yescharacteristic
704C22#6397611yescharacteristic
705C22#6397711yescharacteristic
706C4—22no—
707C4—62no—
708C4—241no—
709C4—362no—
710C4C2×(C2×D3)⋊Dic311yescharacteristic
711C4D3×#21711yescharacteristic
712C4#6397611yescharacteristic
713C4#6397711yescharacteristic
714C3—21no—
715C3#7030511yescharacteristic, complemented
716C3#7214011yescharacteristic, complemented
717C2—21no—
718C2—21no—
719C2—42no—
720C2—124no—
721C2—122no—
722C2#1059166411yescharacteristic
723C2#1059166511yescharacteristic
724C2#1059170611yescharacteristic
subgroupG/H
centerC22#63976
commutatorC2×C32×C4C22×C4
FrattiniC22×C4C2×D32
FittingC2×C32×#41C22
socleC22×C32#120
prime radicalC2×C3×#1009C2
cosocleC22×C32×C4C23
hypercenterC2×#41D32
hypocenterC32#1792
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. C2×#63664C2semidirect
3. C3×#5232C2semidirect
4. #10591323C2semidirect
5. C2×#63568C2semidirect
6. #10591087C2semidirect
7. C2×#63558C2semidirect
14. C3×#1009C4semidirect
22. C2×C4×C3⋊Dic3C22semidirect
23. C2×#3748C22semidirect
24. C2×C3×C4⋊Dic3C22semidirect
25. C2×C3×#208C22semidirect
42. #5232D3semidirect
118. #1009Dic3semidirect
130. C2×C4⋊Dic3C2×D3semidirect
137. C2×#208C2×D3semidirect
165. C32×Q8C22⋊C4semidirect
169. C32×D4C22⋊C4semidirect
194. C3×D12C22⋊C4semidirect
199. C3×Dic6C22⋊C4semidirect
405. C3×Q8(C2×D3)⋊C4semidirect
406. C3×Q8#217semidirect
427. C3×D4(C2×D3)⋊C4semidirect
428. C3×D4#217semidirect
483. D12#217semidirect
488. Dic6#217semidirect
617. C32#1792semidirect
632. Q8(C2×D3)⋊Dic3semidirect
646. D4(C2×D3)⋊Dic3semidirect
715. C3#70305semidirect
716. C3#72140semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
C2×#636642
C3×#52322
#105913232
C2×#635682
#105910872
C2×#635582
#721403
#703053