Finite Group Databasebeta

← #11865871

Subgroups — #11865871

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×#64158C211yesmaximal, characteristic, complemented
2C3×#5832C211yesmaximal, characteristic, complemented
3C2×#63894C211yesmaximal, characteristic, complemented
4C2×#63825C211yesmaximal, characteristic, complemented
5C3×#5232C211yesmaximal, characteristic, complemented
6#10591568C212yesmaximal, complemented
7#10591565C212yesmaximal, complemented
8#10591432C212yesmaximal, complemented
9#10591429C212yesmaximal, complemented
10#10591115C211yesmaximal, characteristic, complemented
11#10591087C211yesmaximal, characteristic, complemented
12#83297—31nomaximal
13#78910—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C22×#624—21no—
18#64158—24no—
19C2×#3755C2212yes—
20C2×#3753C2212yes—
21C2×#3748C2211yescharacteristic
22C3×#947C2211yescharacteristic, complemented
23C3×#944C2211yescharacteristic, complemented
24C3×#940C2211yescharacteristic, complemented
25C3×#939—21no—
26C3×#939—21no—
27C3×#936C2211yescharacteristic, complemented
28C3×C4×#67—21no—
29C3×C4×#67—21no—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×#3722—21no—
34#63894—21no—
35#63894—21no—
36#63894C2212yes—
37#63894C2212yes—
38C2×#3717C2212yes—
39#63825—24no—
40C2×#3714C2212yes—
41C3×#835C2212yescomplemented
42C3×#832C2212yescomplemented
43Dic3⋊(C3⋊C8)C2212yescomplemented
44Dic3⋊(C3⋊C8)C2212yescomplemented
45#63565C2212yescomplemented
46#63562C2212yescomplemented
47C3×#532—31no—
48#5832D311yescharacteristic, complemented
49C2×#949—31no—
50C2×#949—31no—
51C2×#949—31no—
52C2×#949—61no—
53C2×#908—31no—
54C2×#893—31no—
55C2×C4×D12—31no—
56C3×#417—31no—
57#5232—31no—
58#5232D311yescharacteristic, complemented
59#5118—31no—
60#5083—32no—
61#5072—32no—
62#5057—32no—
63#5057—32no—
64#4966—31no—
65#4924—31no—
66#4819—32no—
67#4818—32no—
68#4787—32no—
69#4786—32no—
70C23×C3⋊D3—21no—
71C32×#41—22no—
72C32×#41—22no—
73C2×C32×Q8C2311yescharacteristic
74C2×C32×D4—21no—
75C2×C32×D4C2311yescharacteristic
76C22×C32×C4—21no—
77C22×C32×C4C2311yescharacteristic
78C2×C4⋊(C3⋊D3)—21no—
79C2×C4⋊(C3⋊D3)—22no—
80C2×C4⋊(C3⋊D3)D414yescomplemented
81C2×C4⋊(C3⋊D3)C2312yes—
82C2×C3×#67—21no—
83C2×C3×#67—21no—
84C2×C3×#67—21no—
85C22×C3×Dic3—21no—
86C22×C3×Dic3D411yescharacteristic
87C22×C3×Dic3D411yescharacteristic
88C3×#235—22no—
89C3×#235—22no—
90C2×C3×D12C2311yescharacteristic
91C2×C3×C4×D3—21no—
92C2×C3×Dic6C2311yescharacteristic
93C2×#624—22no—
94C2×#624—22no—
95C2×#624—44no—
96#3755—24no—
97#3753—24no—
98#3748—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×#217—21no—
102C3×(C2×D3)⋊C4—21no—
103C3×(C2×D3)⋊C4—21no—
104C3×C4⋊Dic3—21no—
105C3×C4⋊Dic3C2312yes—
106C3×Dic3⋊C4—21no—
107C3×Dic3⋊C4—21no—
108C3×C4×Dic3D411yescharacteristic
109C3×C4×Dic3D411yescharacteristic
110C3×C4×Dic3C2311yescharacteristic
111C3×C4×Dic3C2311yescharacteristic
112C3×#208—22no—
113C2×C3×C3⋊C8C2312yes—
114#3722—22no—
115#3722—22no—
116#3717—24no—
117#3714—24no—
118#3036—91noSylow
119C2×C3×#41—21no—
120C2×C3×#41—31no—
121C2×C3×#41C2×D311yescharacteristic
122C2×C3×#41C2×D311yescharacteristic
123C2×#235C2×D311yescharacteristic
124C22×D12—31no—
125C22×D12—31no—
126C22×D12—61no—
127C22×C4×D3—61no—
128C22×C4×D3—61no—
129C2×C3×M16—31no—
130C3×C4⋊Q8—31no—
131C3×#127—31no—
132C3×#124—31no—
133C3×#124—31no—
134C3×#121—61no—
135C3×#121—61no—
136C3×C4×D4—61no—
137C3×C4×D4—61no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C42—31no—
140#949—64no—
141#949—64no—
142#949—64no—
143#949—68no—
144#947C2×D311yescharacteristic, complemented
145#944C2×D311yescharacteristic, complemented
146C2×#215—32no—
147C2×#215—32no—
148C2×#215—32no—
149C2×#215—62no—
150#940C2×D311yescharacteristic, complemented
151#939—21no—
152#939—21no—
153#936C2×D311yescharacteristic, complemented
154C2×#213—32no—
155C2×#213—32no—
156C2×#213—32no—
157C2×#213—62no—
158C4×#67—21no—
159C4×#67—21no—
160C2×(C2×D3)⋊C4—61no—
161C2×(C2×D3)⋊C4—61no—
162C2×C4⋊Dic3C2×D311yescharacteristic
163C2×C4×Dic3C2×D311yescharacteristic
164C2×#208—31no—
165C2×#208—31no—
166C2×#208—61no—
167C2×#208C2×D311yescharacteristic
168#908—64no—
169C2×D24—32no—
170C2×#204—32no—
171#893—32no—
172#893—32no—
173#893—61no—
174#893—61no—
175C4×D12—32no—
176C4×D12—32no—
177C4×D12—61no—
178C4×D12—61no—
179C3×#103—32no—
180C3×#102—32no—
181#835—32no—
182#835C2×D312yescomplemented
183#832—32no—
184#832C2×D312yescomplemented
185Dic3⋊C8—32no—
186Dic3⋊C8—32no—
187#810—32no—
188#809—32no—
189C4⋊(C3⋊C8)—32no—
190C4⋊(C3⋊C8)—32no—
191C23×C32—21no—
192C23×C32C2×D411yescharacteristic
193C22×C3⋊D3—24no—
194C22×C3⋊D3—22no—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3×D3—21no—
198C32×Q8—21no—
199C32×Q8—21no—
200C32×D4—21no—
201C32×D4—21no—
202C32×D4—42no—
203C2×C32×C4—21no—
204C2×C32×C4—42no—
205C2×C32×C4C2×D412yes—
206C2×C32×C4C2×D411yescharacteristic
207C2×C32×C4#4112yes—
208C2×C32×C4C2411yescharacteristic
209C4⋊(C3⋊D3)—24no—
210C4⋊(C3⋊D3)—22no—
211C4⋊(C3⋊D3)C2×D414yes—
212C3×#67—42no—
213C3×#67—42no—
214C3×#67—42no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—41no—
219C2×C3×Dic3—42no—
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#624—44no—
230#624—44no—
231C3⋊(C3⋊C8)—22no—
232C3×C3⋊C8—22no—
233C2×AGL(1,ℤ/8)—91no—
234C2×AGL(1,ℤ/8)—91no—
235#532—31no—
236C2×C4×D4—91no—
237#463—92no—
238#463—92no—
239#461—92no—
240#459—92no—
241#423—91no—
242#417—31no—
243#417—91no—
244C23×D3—61no—
245C23×D3—61no—
246C23×D3—121no—
247C3×#41—24no—
248C3×#41—22no—
249C3×#41—22no—
250C3×#41—22no—
251C3×#41—22no—
252C3×#41—42no—
253C3×#41—62no—
254C3×#41—62no—
255C2×C3×Q8—21no—
256C2×C3×Q8—31no—
257C2×C3×Q8C22×D311yescharacteristic
258C2×C3×Q8C22×D311yescharacteristic
259C2×C3×D4—21no—
260C2×C3×D4—21no—
261C2×C3×D4—21no—
262C2×C3×D4—31no—
263C2×C3×D4—41no—
264C2×C3×D4—61no—
265C2×C3×D4—61no—
266C2×C3×D4—61no—
267C2×C3×D4C22×D311yescharacteristic
268C2×C3×D4C22×D311yescharacteristic
269C22×C3×C4—21no—
270C22×C3×C4—21no—
271C22×C3×C4—21no—
272C22×C3×C4—31no—
273C22×C3×C4—31no—
274C22×C3×C4—41no—
275C22×C3×C4—61no—
276C22×C3×C4—61no—
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C2×#67—21no—
280C2×#67—21no—
281C2×#67—21no—
282C22×Dic3—21no—
283C22×Dic3#6711yescharacteristic
284C22×Dic3#6711yescharacteristic
285#235—22no—
286#235—22no—
287C2×D12—34no—
288C2×D12—34no—
289C2×D12—32no—
290C2×D12—32no—
291C2×D12—62no—
292C2×D12—64no—
293C2×D12—62no—
294C2×D12—61no—
295C2×D12—62no—
296C2×D12—61no—
297C2×D12—122no—
298C2×D12—121no—
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—62no—
302C2×C4×D3—62no—
303C2×C4×D3—62no—
304C2×C4×D3—62no—
305C2×C4×D3—124no—
306C2×C4×D3—124no—
307C2×Dic6C22×D311yescharacteristic
308C3×M16—62no—
309C2×C3×C8—32no—
310C3×C4⋊C4—32no—
311C3×C4⋊C4—61no—
312C3×C4⋊C4—61no—
313C3×C4⋊C4—61no—
314C3×C22⋊C4—61no—
315C3×C22⋊C4—61no—
316C3×C22⋊C4—61no—
317C3×C22⋊C4—61no—
318C3×C42—31no—
319C3×C42—31no—
320C3×C42—31no—
321C3×C42—31no—
322#217—21no—
323#217—21no—
324#215—64no—
325#215—64no—
326#215—64no—
327#215—68no—
328#213—64no—
329#213—64no—
330#213—64no—
331#213—68no—
332(C2×D3)⋊C4—21no—
333(C2×D3)⋊C4—21no—
334(C2×D3)⋊C4—62no—
335(C2×D3)⋊C4—62no—
336(C2×D3)⋊C4—62no—
337(C2×D3)⋊C4—62no—
338C4⋊Dic3—21no—
339C4⋊Dic3C22×D312yes—
340Dic3⋊C4—21no—
341Dic3⋊C4—21no—
342C4×Dic3#6711yescharacteristic
343C4×Dic3#6711yescharacteristic
344C4×Dic3C22×D311yescharacteristic
345C4×Dic3C22×D311yescharacteristic
346#208—22no—
347#208—64no—
348#208—62no—
349#208—62no—
350C2×C3⋊C8—32no—
351C2×C3⋊C8—32no—
352C2×C3⋊C8—62no—
353C2×C3⋊C8C22×D312yes—
354D24—64no—
355#204—64no—
356C22×C32—21no—
357C22×C32—21no—
358C22×C32—41no—
359C22×C32—41no—
360C22×C32—41no—
361C22×C32#12112yes—
362C22×C32C22×D411yescharacteristic
363C2×C3⋊D3—24no—
364C2×C3⋊D3—48no—
365C2×C3⋊D3—42no—
366C2×C3⋊D3—42no—
367C2×C3×D3—41no—
368C2×C3×D3—41no—
369C2×C3×D3—41no—
370C32×C4—41no—
371C32×C4#12112yes—
372C32×C4C22×D411yescharacteristic
373C32×C4C2×#4111yescharacteristic
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×#41D3211yescharacteristic
382C22×D4—91no—
383C23×C4—181no—
384AGL(1,ℤ/8)—184no—
385AGL(1,ℤ/8)—184no—
386C2×SD16—92no—
387C2×SD16—92no—
388C2×D8—92no—
389C2×D8—92no—
390C2×M16—31no—
391C2×M16—91no—
392C4⋊Q8—31no—
393#127—31no—
394#124—31no—
395#124—31no—
396#121—61no—
397#121—61no—
398C4×D4—61no—
399C4×D4—61no—
400C4×D4—92no—
401C4×D4—92no—
402C4×D4—181no—
403C4×D4—181no—
404C2×C4⋊C4—31no—
405C2×C22⋊C4—181no—
406C2×C42—31no—
407C4⋊C8—92no—
408C4⋊C8—92no—
409#103—32no—
410#103—92no—
411#102—32no—
412#102—92no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—21no—
416C23×C3—41no—
417C23×C3—61no—
418C23×C3D3×D411yescharacteristic
419C23×C3C2×#6711yescharacteristic
420C22×D3—21no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—62no—
424C22×D3—62no—
425C22×D3—122no—
426C22×D3—124no—
427C22×D3—122no—
428C22×D3—122no—
429C22×D3—122no—
430C22×D3—122no—
431C22×D3—242no—
432C22×D3—242no—
433C3×Q8—22no—
434C3×Q8—21no—
435C3×Q8—21no—
436C3×Q8—21no—
437C3×Q8—21no—
438C3×Q8—41no—
439C3×Q8—61no—
440C3×Q8—61no—
441C3×D4—22no—
442C3×D4—21no—
443C3×D4—21no—
444C3×D4—21no—
445C3×D4—21no—
446C3×D4—41no—
447C3×D4—44no—
448C3×D4—42no—
449C3×D4—42no—
450C3×D4—61no—
451C3×D4—61no—
452C3×D4—122no—
453C3×D4—122no—
454C3×D4—122no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—22no—
459C2×C3×C4—21no—
460C2×C3×C4—22no—
461C2×C3×C4—31no—
462C2×C3×C4—31no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—41no—
466C2×C3×C4—44no—
467C2×C3×C4—42no—
468C2×C3×C4—42no—
469C2×C3×C4—62no—
470C2×C3×C4—61no—
471C2×C3×C4—62no—
472C2×C3×C4—121no—
473C2×C3×C4—122no—
474C2×C3×C4—122no—
475C2×C3×C4#23512yes—
476C2×C3×C4D3×D411yescharacteristic
477C2×C3×C4D3×D412yes—
478C2×C3×C4D3×D412yes—
479C2×C3×C4#23712yes—
480C2×C3×C4C2×#6711yescharacteristic
481C2×C3×C4C23×D311yescharacteristic
482C2×C3×C4C23×D311yescharacteristic
483#67—42no—
484#67—42no—
485#67—42no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—21no—
489C2×Dic3—41no—
490C2×Dic3—42no—
491C2×Dic3C2×#6711yescharacteristic
492C2×Dic3C2×#6711yescharacteristic
493C2×Dic3C2×#6711yescharacteristic
494C2×Dic3C2×#6711yescharacteristic
495D12—21no—
496D12—21no—
497D12—34no—
498D12—34no—
499D12—64no—
500D12—64no—
501D12—64no—
502D12—62no—
503D12—62no—
504D12—122no—
505D12—124no—
506C4×D3—42no—
507C4×D3—124no—
508C4×D3—124no—
509C4×D3—124no—
510C4×D3—124no—
511Dic6—21no—
512Dic6—21no—
513C3×C8—62no—
514C3⋊C8—22no—
515C3⋊C8—64no—
516C3⋊C8—62no—
517C3⋊C8—62no—
518C2×C32—22no—
519C2×C32—81no—
520C2×C32C2×#12111yescharacteristic
521C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
522C2×C32#57511yescharacteristic
523C3⋊D3—44no—
524C3×D3—81no—
525C24—181no—
526#41—22no—
527#41—22no—
528#41—62no—
529#41—62no—
530C2×Q8—31no—
531C2×Q8C2×D3211yescharacteristic
532C2×D4—21no—
533C2×D4—31no—
534C2×D4—61no—
535C2×D4—61no—
536C2×D4—61no—
537C2×D4—92no—
538C2×D4—94no—
539C2×D4—182no—
540C2×D4—181no—
541C2×D4C2×D3211yescharacteristic
542C22×C4—21no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—61no—
546C22×C4—61no—
547C22×C4—182no—
548C22×C4—182no—
549C22×C4—364no—
550C22×C4C2×D3211yescharacteristic
551SD16—184no—
552SD16—184no—
553D8—184no—
554D8—184no—
555M16—62no—
556M16—182no—
557C2×C8—32no—
558C2×C8—92no—
559C4⋊C4—32no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C22⋊C4—61no—
564C22⋊C4—61no—
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—182no—
568C22⋊C4—182no—
569C42—31no—
570C42—31no—
571C42—31no—
572C42—31no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—22no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—42no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—81no—
589C22×C3—81no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3#88412yes—
594C22×C3#93812yes—
595C22×C3C2×D3×D411yescharacteristic
596C22×C3C22×#6711yescharacteristic
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—64no—
601C2×D3—64no—
602C2×D3—124no—
603C2×D3—128no—
604C2×D3—128no—
605C2×D3—122no—
606C2×D3—122no—
607C2×D3—122no—
608C2×D3—122no—
609C2×D3—242no—
610C2×D3—242no—
611C2×D3—248no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—42no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—61no—
622C3×C4—121no—
623C3×C4—122no—
624C3×C4#88412yes—
625C3×C4#93812yes—
626C3×C4C2×#23511yescharacteristic
627C3×C4C2×D3×D411yescharacteristic
628C3×C4C2×D3×D411yescharacteristic
629C3×C4C2×#23711yescharacteristic
630Dic3—21no—
631Dic3—21no—
632Dic3—21no—
633Dic3—42no—
634Dic3—41no—
635Dic3#94912yescomplemented
636C32#303611yescharacteristic, complemented, Sylow
637C23—21no—
638C23—61no—
639C23—182no—
640C23—184no—
641C23—362no—
642C23—362no—
643C23D3×#6711yescharacteristic
644Q8—21no—
645Q8—21no—
646Q8—61no—
647Q8—61no—
648D4—21no—
649D4—21no—
650D4—42no—
651D4—61no—
652D4—61no—
653D4—94no—
654D4—122no—
655D4—122no—
656D4—122no—
657D4—182no—
658D4—184no—
659C2×C4—21no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—42no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—62no—
668C2×C4—121no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—364no—
672C2×C4—364no—
673C2×C4#380412yes—
674C2×C4D3×#6711yescharacteristic
675C2×C4#381112yes—
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—82no—
686C2×C3—81no—
687C2×C3—81no—
688C2×C3—241no—
689C2×C3C2×#88411yescharacteristic
690C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
691C2×C3#577711yescharacteristic
692C2×C3C2×#93811yescharacteristic
693C2×C3C2×#94911yescharacteristic
694C2×C3#582211yescharacteristic
695D3—81no—
696D3—124no—
697D3—124no—
698D3—244no—
699C22—21no—
700C22—21no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—184no—
708C22—368no—
709C22—362no—
710C22—362no—
711C22#6395812yes—
712C22C2×D3×#6711yescharacteristic
713C4—32no—
714C4—41no—
715C4—61no—
716C4—61no—
717C4—61no—
718C4—122no—
719C4—121no—
720C4#6395812yes—
721C4C2×#380411yescharacteristic
722C4C2×#381111yescharacteristic
723C3—21no—
724C3#7891011yescharacteristic, complemented
725C3#8329711yescharacteristic, complemented
726C2—22no—
727C2—81no—
728C2—241no—
729C2—364no—
730C2D3×#94911yescharacteristic
731C2#1059547011yescharacteristic
732C2C2×#6395811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3036
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
1. C2×#64158C2semidirect
2. C3×#5832C2semidirect
3. C2×#63894C2semidirect
4. C2×#63825C2semidirect
5. C3×#5232C2semidirect
6. #10591568C2semidirect
7. #10591565C2semidirect
8. #10591432C2semidirect
9. #10591429C2semidirect
10. #10591115C2semidirect
11. #10591087C2semidirect
22. C3×#947C22semidirect
23. C3×#944C22semidirect
24. C3×#940C22semidirect
27. C3×#936C22semidirect
41. C3×#835C22semidirect
42. C3×#832C22semidirect
43. Dic3⋊(C3⋊C8)C22semidirect
44. Dic3⋊(C3⋊C8)C22semidirect
45. #63565C22semidirect
46. #63562C22semidirect
48. #5832D3semidirect
58. #5232D3semidirect
80. C2×C4⋊(C3⋊D3)D4semidirect
144. #947C2×D3semidirect
145. #944C2×D3semidirect
150. #940C2×D3semidirect
153. #936C2×D3semidirect
182. #835C2×D3semidirect
184. #832C2×D3semidirect
379. C3×Dic3AGL(1,ℤ/8)semidirect
635. Dic3#949semidirect
636. C32#3036semidirect
724. C3#78910semidirect
725. C3#83297semidirect

Maximal subgroups

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

subgroupindex
C2×#641582
C3×#58322
C2×#638942
C2×#638252
C3×#52322
#105915682
#105915652
#105914322
#105914292
#105911152
#105910872
#832973
#789103