Finite Group Databasebeta

← #11865876

Subgroups — #11865876

Order 1152.

1245 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64141C211yesmaximal, characteristic, complemented
2C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#932C211yesmaximal, characteristic, complemented
4#10595029C211yesmaximal, characteristic, complemented
5#10591489C212yesmaximal, complemented
6#10591481C212yesmaximal, complemented
7#10591471C212yesmaximal, complemented
8#10591468C212yesmaximal, complemented
9#10591115C211yesmaximal, characteristic, complemented
10#10591106C211yesmaximal, characteristic, complemented
11#10591087C211yesmaximal, characteristic, complemented
12#83931—31nomaximal
13#82307—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C2×#3828C2211yescharacteristic
16C23×C3×Dic3—21no—
17C2×C3×#235C2211yescharacteristic
18C2×#3754C2212yes—
19#64141—24no—
20C2×#3753C2212yes—
21C2×#3748C2211yescharacteristic
22C2×C3×#217—21no—
23C3×D4×Dic3—21no—
24C3×D4×Dic3—21no—
25C3×D4×Dic3C2212yes—
26C3×D4×Dic3C2212yes—
27C2×C3×#214C2212yes—
28C3×#932—24no—
29C2×C3×#213C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33#63978—21no—
34#63978—21no—
35#63911C2211yescharacteristic, complemented
36C4×#626—21no—
37C4×#626—21no—
38#63866C2211yescharacteristic, complemented
39#63864C2211yescharacteristic, complemented
40#63860C2211yescharacteristic, complemented
41Dic3⋊(C3⋊C8)C2212yescomplemented
42Dic3⋊(C3⋊C8)C2212yescomplemented
43#63567C2212yescomplemented
44#63565C2212yescomplemented
45#63564C2212yescomplemented
46#63562C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48C2×C3×C4×D4—31no—
49#5832—31no—
50C2×D4×Dic3D311yescharacteristic, complemented
51C2×#932—31no—
52C2×#932—31no—
53C2×#932—61no—
54C2×#932D311yescharacteristic, complemented
55#5477—31no—
56#5232—31no—
57#5165—32no—
58#5162—32no—
59#5153—32no—
60#5150—32no—
61#5133—31no—
62#5118—31no—
63#5019—32no—
64#5016—32no—
65#5016—32no—
66#5015—32no—
67#4966—31no—
68#4966—31no—
69#4924—31no—
70C24×C32—21no—
71C2×C32×D4—21no—
72C2×C32×D4—22no—
73C2×C32×D4D414yescomplemented
74C2×C32×D4C2312yes—
75C22×C32×C4C2311yescharacteristic
76C2×#638—21no—
77#3828—22no—
78#3828—22no—
79C2×C4⋊(C3⋊D3)C2311yescharacteristic
80C2×C4×C3⋊D3—21no—
81C2×#634C2311yescharacteristic
82C2×C3×#67—21no—
83C22×C3×Dic3—21no—
84C22×C3×Dic3—22no—
85C22×C3×Dic3—22no—
86C22×C3×Dic3—44no—
87C22×C3×Dic3D411yescharacteristic
88C22×C3×Dic3D411yescharacteristic
89C3×#235—22no—
90C3×#235—22no—
91C2×C3×D12C2311yescharacteristic
92C2×C3×C4×D3—21no—
93C2×C3×Dic6C2311yescharacteristic
94C2×#626—21no—
95C2×#626—21no—
96#3754—24no—
97#3753—24no—
98#3748—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—22no—
101C3×#217—22no—
102C3×#214—24no—
103C3×#213—24no—
104C3×C4⋊Dic3—21no—
105C3×C4⋊Dic3C2312yes—
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3D411yescharacteristic
108C3×C4×Dic3C2311yescharacteristic
109C3×C4×Dic3C2311yescharacteristic
110C3×#208—22no—
111C2×C3×C3⋊C8C2312yes—
112Dic3⋊Dic3—21no—
113Dic3⋊Dic3—21no—
114#3722—21no—
115#3722—21no—
116(C2×D3)⋊Dic3—21no—
117(C2×D3)⋊Dic3—21no—
118#3036—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—21no—
121C22×C3×D4C2×D311yescharacteristic
122C22×C3×D4C2×D311yescharacteristic
123C23×C3×C4—61no—
124C23×Dic3—21no—
125C2×#235—31no—
126C2×#235—31no—
127C2×#235—61no—
128C2×#235C2×D311yescharacteristic
129C3×AGL(1,ℤ/8)—64no—
130C2×C3×SD16—32no—
131C2×C3×D8—32no—
132C2×C3×M16—31no—
133C3×C4×D4—32no—
134C3×C4×D4—32no—
135C3×C4×D4—61no—
136C3×C4×D4—61no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—61no—
139C2×C3×C42—31no—
140C2×#217—21no—
141#947—31no—
142#944—31no—
143#940—31no—
144#939—61no—
145#939—61no—
146#936—31no—
147D4×Dic3—21no—
148D4×Dic3—21no—
149D4×Dic3C2×D312yes—
150D4×Dic3C2×D312yes—
151C2×#214—32no—
152C2×#214—32no—
153C2×#214—62no—
154C2×#214C2×D312yes—
155#932—24no—
156#932—68no—
157#932—64no—
158#932—64no—
159C2×#213—32no—
160C2×#213—32no—
161C2×#213—62no—
162C2×#213C2×D312yes—
163#930—61no—
164#930—61no—
165C4×#67—61no—
166C4×#67—61no—
167C2×C4⋊Dic3C2×D311yescharacteristic
168C2×C4×Dic3C2×D311yescharacteristic
169C2×#208—31no—
170C2×#208—31no—
171C2×#208—61no—
172C2×#208C2×D311yescharacteristic
173#875—31no—
174#875—31no—
175#874—31no—
176C4×D12—61no—
177C4×D12—61no—
178#869—31no—
179#835—32no—
180#832—32no—
181#821—32no—
182#816—32no—
183Dic3⋊C8—32no—
184Dic3⋊C8—32no—
185#810—32no—
186#810—32no—
187#809—32no—
188#809—32no—
189C4⋊(C3⋊C8)—32no—
190C4⋊(C3⋊C8)—32no—
191C23×C32—24no—
192C23×C32—22no—
193C23×C32—42no—
194C23×C32—42no—
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3—21no—
197C22×C3×D3—21no—
198C32×D4—24no—
199C32×D4—22no—
200C32×D4C2×D414yes—
201C2×C32×C4C2×D412yes—
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4#4112yes—
204C2×C32×C4C2411yescharacteristic
205#638—42no—
206C2×C3⋊Dic3—21no—
207C4⋊(C3⋊D3)—21no—
208C4⋊(C3⋊D3)—21no—
209C4×C3⋊D3—42no—
210#634—21no—
211#634—21no—
212C3×#67—42no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—41no—
217C2×C3×Dic3—44no—
218C2×C3×Dic3—42no—
219C2×C3×Dic3—44no—
220C2×C3×Dic3C2×D411yescharacteristic
221C2×C3×Dic3C2×D411yescharacteristic
222C2×C3×Dic3C2×D411yescharacteristic
223C2×C3×Dic3C2×D411yescharacteristic
224C3×D12—21no—
225C3×D12—21no—
226C3×C4×D3—42no—
227C3×Dic6—21no—
228C3×Dic6—21no—
229#626—42no—
230#626—42no—
231C3⋊(C3⋊C8)—22no—
232C3×C3⋊C8—22no—
233C2×AGL(1,ℤ/8)—31no—
234C2×AGL(1,ℤ/8)—91no—
235#532—91no—
236C2×C4×D4—31no—
237#463—92no—
238#463—92no—
239#461—92no—
240#459—92no—
241#423—91no—
242#417—91no—
243#417—91no—
244C24×C3—21no—
245C24×C3—21no—
246C24×C3—41no—
247C3×#41—62no—
248C3×#41—62no—
249C2×C3×Q8—31no—
250C2×C3×D4—22no—
251C2×C3×D4—21no—
252C2×C3×D4—22no—
253C2×C3×D4—21no—
254C2×C3×D4—24no—
255C2×C3×D4—22no—
256C2×C3×D4—31no—
257C2×C3×D4—42no—
258C2×C3×D4—41no—
259C2×C3×D4—61no—
260C2×C3×D4D1214yescomplemented
261C2×C3×D4#6714yescomplemented
262C2×C3×D4C22×D312yes—
263C2×C3×D4C22×D312yes—
264C22×C3×C4—21no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—62no—
268C22×C3×C4—62no—
269C22×C3×C4—61no—
270C22×C3×C4—61no—
271C22×C3×C4—124no—
272C22×C3×C4C22×D311yescharacteristic
273C22×C3×C4C22×D311yescharacteristic
274C2×#67—21no—
275C2×#67—61no—
276C2×#67—61no—
277C2×#67—61no—
278C2×#67—61no—
279C2×#67—121no—
280C22×Dic3—21no—
281C22×Dic3—22no—
282C22×Dic3—22no—
283C22×Dic3—44no—
284C22×Dic3#6711yescharacteristic
285C22×Dic3#6711yescharacteristic
286#235—22no—
287#235—22no—
288#235—64no—
289#235—62no—
290#235—62no—
291#235—62no—
292#235—62no—
293#235—122no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12—61no—
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—121no—
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6—61no—
307C2×Dic6C22×D311yescharacteristic
308C3×SD16—64no—
309C3×D8—64no—
310C3×M16—62no—
311C2×C3×C8—32no—
312C3×C4⋊C4—32no—
313C3×C4⋊C4—61no—
314C3×C22⋊C4—62no—
315C3×C22⋊C4—62no—
316C3×C42—31no—
317C3×C42—31no—
318C3×C42—31no—
319C3×C42—31no—
320#217—22no—
321#217—22no—
322#217—61no—
323#217—61no—
324#214—24no—
325#214—68no—
326#214—64no—
327#214—64no—
328#213—24no—
329#213—68no—
330#213—64no—
331#213—64no—
332(C2×D3)⋊C4—61no—
333(C2×D3)⋊C4—61no—
334(C2×D3)⋊C4—61no—
335(C2×D3)⋊C4—61no—
336(C2×D3)⋊C4—61no—
337(C2×D3)⋊C4—61no—
338C4⋊Dic3—21no—
339C4⋊Dic3—61no—
340C4⋊Dic3—61no—
341C4⋊Dic3C22×D312yes—
342Dic3⋊C4—61no—
343Dic3⋊C4—61no—
344C4×Dic3#6711yescharacteristic
345C4×Dic3#6711yescharacteristic
346C4×Dic3C22×D311yescharacteristic
347C4×Dic3C22×D311yescharacteristic
348#208—22no—
349#208—64no—
350#208—62no—
351#208—62no—
352C2×C3⋊C8—32no—
353C2×C3⋊C8—32no—
354C2×C3⋊C8—62no—
355C2×C3⋊C8C22×D312yes—
356C22×C32—21no—
357C22×C32—21no—
358C22×C32—24no—
359C22×C32—48no—
360C22×C32—42no—
361C22×C32—42no—
362C22×C32#12112yes—
363C22×C32C22×D411yescharacteristic
364C2×C3⋊D3—41no—
365C2×C3⋊D3—41no—
366C2×C3⋊D3—41no—
367C2×C3×D3—41no—
368C2×C3×D3—41no—
369C2×C3×D3—41no—
370C32×C4#12112yes—
371C32×C4C22×D411yescharacteristic
372C32×C4C2×#4111yescharacteristic
373C3⋊Dic3—41no—
374C3×Dic3—21no—
375C3×Dic3—21no—
376C3×Dic3—21no—
377C3×Dic3—41no—
378C3×Dic3—42no—
379C3×Dic3AGL(1,ℤ/8)12yescomplemented
380C2×#41—31no—
381C2×#41—91no—
382C22×D4D3211yescharacteristic
383C23×C4—61no—
384AGL(1,ℤ/8)—64no—
385AGL(1,ℤ/8)—184no—
386C2×SD16—32no—
387C2×SD16—92no—
388C2×D8—32no—
389C2×D8—92no—
390C2×M16—31no—
391C2×M16—91no—
392C4⋊Q8—91no—
393#127—91no—
394#124—91no—
395#124—91no—
396#121—181no—
397#121—181no—
398C4×D4—32no—
399C4×D4—32no—
400C4×D4—61no—
401C4×D4—61no—
402C4×D4—181no—
403C4×D4—181no—
404C2×C4⋊C4—31no—
405C2×C22⋊C4—61no—
406C2×C42—31no—
407C4⋊C8—92no—
408C4⋊C8—92no—
409#103—92no—
410#103—92no—
411#102—92no—
412#102—92no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—22no—
416C23×C3—22no—
417C23×C3—21no—
418C23×C3—42no—
419C23×C3—44no—
420C23×C3—42no—
421C23×C3—42no—
422C23×C3—42no—
423C23×C3—42no—
424C23×C3—61no—
425C23×C3—82no—
426C23×C3—82no—
427C23×C3D3×D411yescharacteristic
428C23×C3C2×#6711yescharacteristic
429C22×D3—21no—
430C22×D3—61no—
431C22×D3—61no—
432C22×D3—121no—
433C3×Q8—61no—
434C3×Q8—61no—
435C3×D4—24no—
436C3×D4—24no—
437C3×D4—22no—
438C3×D4—22no—
439C3×D4—24no—
440C3×D4—42no—
441C3×D4—44no—
442C3×D4—61no—
443C3×D4—61no—
444C3×D4—122no—
445C3×D4C2×D1214yes—
446C3×D4C2×#6714yes—
447C2×C3×C4—21no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—21no—
451C2×C3×C4—31no—
452C2×C3×C4—31no—
453C2×C3×C4—31no—
454C2×C3×C4—31no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—61no—
458C2×C3×C4—124no—
459C2×C3×C4—121no—
460C2×C3×C4—124no—
461C2×C3×C4—122no—
462C2×C3×C4—122no—
463C2×C3×C4C2×D1212yes—
464C2×C3×C4#23512yes—
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4#23712yes—
467C2×C3×C4C2×#6712yes—
468C2×C3×C4C2×#6711yescharacteristic
469C2×C3×C4C23×D311yescharacteristic
470C2×C3×C4C23×D311yescharacteristic
471#67—42no—
472#67—122no—
473#67—124no—
474#67—122no—
475#67—122no—
476#67—122no—
477C2×Dic3—22no—
478C2×Dic3—21no—
479C2×Dic3—22no—
480C2×Dic3—41no—
481C2×Dic3—44no—
482C2×Dic3—42no—
483C2×Dic3—44no—
484C2×Dic3—61no—
485C2×Dic3—61no—
486C2×Dic3—121no—
487C2×Dic3C2×#6711yescharacteristic
488C2×Dic3C2×#6711yescharacteristic
489C2×Dic3C2×#6711yescharacteristic
490C2×Dic3C2×#6711yescharacteristic
491D12—21no—
492D12—21no—
493D12—62no—
494D12—61no—
495D12—61no—
496D12—61no—
497D12—61no—
498D12—121no—
499D12—122no—
500D12—122no—
501C4×D3—42no—
502C4×D3—124no—
503C4×D3—122no—
504C4×D3—122no—
505Dic6—21no—
506Dic6—21no—
507Dic6—62no—
508Dic6—61no—
509Dic6—61no—
510Dic6—61no—
511Dic6—61no—
512Dic6—121no—
513C3×C8—62no—
514C3⋊C8—22no—
515C3⋊C8—64no—
516C3⋊C8—62no—
517C3⋊C8—62no—
518C2×C32—22no—
519C2×C32—44no—
520C2×C32C2×#12111yescharacteristic
521C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
522C2×C32#57511yescharacteristic
523C3⋊D3—81no—
524C3×D3—81no—
525C24—21no—
526#41—62no—
527#41—62no—
528#41—182no—
529#41—182no—
530C2×Q8—31no—
531C2×Q8—91no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—31no—
535C2×D4—61no—
536C2×D4—91no—
537C2×D4—181no—
538C2×D4—181no—
539C2×D4—181no—
540C2×D4#62614yescomplemented
541C2×D4C2×D3212yes—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—62no—
545C22×C4—62no—
546C22×C4—61no—
547C22×C4—61no—
548C22×C4—124no—
549C22×C4—181no—
550C22×C4C2×D3211yescharacteristic
551SD16—64no—
552SD16—184no—
553D8—64no—
554D8—184no—
555M16—62no—
556M16—182no—
557C2×C8—32no—
558C2×C8—92no—
559C4⋊C4—32no—
560C4⋊C4—61no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C22⋊C4—62no—
564C22⋊C4—62no—
565C22⋊C4—181no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C42—31no—
570C42—31no—
571C42—31no—
572C42—31no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—21no—
580C22×C3—22no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—44no—
584C22×C3—48no—
585C22×C3—48no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—82no—
591C22×C3—82no—
592C22×C3—88no—
593C22×C3—121no—
594C22×C3—121no—
595C22×C3—121no—
596C22×C3#93012yes—
597C22×C3#93912yes—
598C22×C3C2×D3×D411yescharacteristic
599C22×C3C22×#6711yescharacteristic
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—122no—
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—241no—
611C2×D3—241no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—61no—
617C3×C4—61no—
618C3×C4—61no—
619C3×C4—122no—
620C3×C4—121no—
621C3×C4#93012yes—
622C3×C4#93912yes—
623C3×C4C22×D1211yescharacteristic
624C3×C4C2×#23511yescharacteristic
625C3×C4C2×#23711yescharacteristic
626C3×C4C22×#6711yescharacteristic
627Dic3—21no—
628Dic3—21no—
629Dic3—21no—
630Dic3—42no—
631Dic3—41no—
632Dic3—122no—
633Dic3—121no—
634Dic3—121no—
635Dic3#93212yescomplemented
636C32#303611yescharacteristic, complemented, Sylow
637C23—22no—
638C23—24no—
639C23—42no—
640C23—42no—
641C23—61no—
642C23—181no—
643C23D3×#6711yescharacteristic
644Q8—61no—
645Q8—61no—
646Q8—181no—
647Q8—181no—
648D4—22no—
649D4—24no—
650D4—61no—
651D4—61no—
652D4—122no—
653D4—181no—
654D4—181no—
655D4—362no—
656D4—362no—
657D4—362no—
658D4C2×#62614yes—
659C2×C4—31no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—61no—
666C2×C4—124no—
667C2×C4—121no—
668C2×C4—124no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—181no—
672C2×C4—362no—
673C2×C4#380412yes—
674C2×C4C2×#62612yes—
675C2×C4D3×#6711yescharacteristic
676C2×C4C22×D3211yescharacteristic
677C8—62no—
678C8—182no—
679C2×C3—22no—
680C2×C3—22no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—42no—
685C2×C3—44no—
686C2×C3—44no—
687C2×C3—84no—
688C2×C3—241no—
689C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
690C2×C3#577311yescharacteristic
691C2×C3C2×#93011yescharacteristic
692C2×C3C2×#93211yescharacteristic
693C2×C3C2×#93911yescharacteristic
694C2×C3#582211yescharacteristic
695D3—81no—
696D3—242no—
697D3—241no—
698D3—241no—
699C22—21no—
700C22—21no—
701C22—24no—
702C22—48no—
703C22—42no—
704C22—42no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22—361no—
709C22—361no—
710C22—361no—
711C22#6397812yes—
712C22C2×D3×#6711yescharacteristic
713C4—32no—
714C4—61no—
715C4—61no—
716C4—61no—
717C4—122no—
718C4—121no—
719C4—361no—
720C4#6397812yes—
721C4C2×#380411yescharacteristic
722C4C22×#62611yescharacteristic
723C3—21no—
724C3#8230711yescharacteristic, complemented
725C3#8393111yescharacteristic, complemented
726C2—22no—
727C2—44no—
728C2—241no—
729C2—721no—
730C2D3×#93211yescharacteristic
731C2#1059509511yescharacteristic
732C2C2×#6397811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
hypercenterC22×D4D32
hypocenterC32#3036
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64141C2semidirect
2. C2×C3×D4×Dic3C2semidirect
3. C2×C3×#932C2semidirect
4. #10595029C2semidirect
5. #10591489C2semidirect
6. #10591481C2semidirect
7. #10591471C2semidirect
8. #10591468C2semidirect
9. #10591115C2semidirect
10. #10591106C2semidirect
11. #10591087C2semidirect
35. #63911C22semidirect
38. #63866C22semidirect
39. #63864C22semidirect
40. #63860C22semidirect
41. Dic3⋊(C3⋊C8)C22semidirect
42. Dic3⋊(C3⋊C8)C22semidirect
43. #63567C22semidirect
44. #63565C22semidirect
45. #63564C22semidirect
46. #63562C22semidirect
50. C2×D4×Dic3D3semidirect
54. C2×#932D3semidirect
73. C2×C32×D4D4semidirect
260. C2×C3×D4D12semidirect
261. C2×C3×D4#67semidirect
379. C3×Dic3AGL(1,ℤ/8)semidirect
540. C2×D4#626semidirect
635. Dic3#932semidirect
636. C32#3036semidirect
724. C3#82307semidirect
725. C3#83931semidirect

Maximal subgroups

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

subgroupindex
C2×#641412
C2×C3×D4×Dic32
C2×C3×#9322
#105950292
#105914892
#105914812
#105914712
#105914682
#105911152
#105911062
#105910872
#839313
#823073