Finite Group Databasebeta

← #11867167

Subgroups — #11867167

Order 1152.

1245 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64158C211yesmaximal, characteristic, complemented
2C3×#5828C211yesmaximal, characteristic, complemented
3C2×#63909C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5C3×#5232C211yesmaximal, characteristic, complemented
6#10591589C212yesmaximal, complemented
7#10591585C212yesmaximal, complemented
8#10591453C212yesmaximal, complemented
9#10591449C212yesmaximal, complemented
10#10591139C211yesmaximal, characteristic, complemented
11#10591096C211yesmaximal, characteristic, complemented
12#82924—31nomaximal
13#78888—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#626—21no—
18#64158—24no—
19C2×#3755C2212yescomplemented
20C2×#3753C2212yescomplemented
21C2×#3748C2211yescharacteristic
22C3×#946C2211yescharacteristic, complemented
23C3×#946C2211yescharacteristic, complemented
24C3×#938C2211yescharacteristic, complemented
25C3×#938C2211yescharacteristic, complemented
26C3×#937—21no—
27C3×#935—21no—
28C3×C4×#67—21no—
29C3×C4×#67—21no—
30C3×#926C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×#3722—21no—
34#63909—21no—
35#63909—21no—
36#63909C2212yes—
37#63909C2212yes—
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41C3×#835C2212yescomplemented
42C3×#832C2212yescomplemented
43#63576C2212yescomplemented
44#63574C2212yescomplemented
45#63564C2212yescomplemented
46#63564C2212yescomplemented
47C3×#525—31no—
48#5828D311yescharacteristic, complemented
49C2×#949—31no—
50C2×#949—31no—
51C2×#949—61no—
52C2×#930—31no—
53C22×#208—31no—
54C2×D3×M16—31no—
55C2×#895—31no—
56C3×#417—31no—
57#5232D311yescharacteristic, complemented
58#5131—31no—
59#5049—32no—
60#5048—32no—
61#5039—32no—
62#5038—32no—
63#5001—31no—
64#4995—31no—
65#4964—31no—
66#4812—32no—
67#4807—32no—
68#4782—32no—
69#4775—32no—
70C23×C3⋊D3—21no—
71C23×C3×D3D411yescharacteristic
72C32×#41—22no—
73C32×#41—22no—
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4—21no—
76C2×C32×D4C2311yescharacteristic
77C22×C32×C4—21no—
78C22×C32×C4C2311yescharacteristic
79C2×C4⋊(C3⋊D3)—22no—
80C2×C4⋊(C3⋊D3)—22no—
81C2×C4⋊(C3⋊D3)—21no—
82C2×C4⋊(C3⋊D3)C2312yes—
83C2×C3×#67—21no—
84C2×C3×#67—21no—
85C22×C3×Dic3—21no—
86C22×C3×Dic3D411yescharacteristic
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×#626—22no—
94C2×#626—22no—
95C2×#626—44no—
96#3755—24no—
97#3753—24no—
98#3748D414yescomplemented
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×#217—21no—
102C3×#217—21no—
103C3×(C2×D3)⋊C4—21no—
104C3×(C2×D3)⋊C4—21no—
105C3×C4⋊Dic3—21no—
106C3×C4⋊Dic3C2312yes—
107C3×C4⋊Dic3C2311yescharacteristic
108C3×C4⋊Dic3C2311yescharacteristic
109C3×Dic3⋊C4—21no—
110C3×Dic3⋊C4—21no—
111C3×C4×Dic3—21no—
112C3×#208—22no—
113C2×C3×C3⋊C8C2312yes—
114#3722—22no—
115#3722—22no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C2×C3×#41—21no—
120C2×C3×#41C2×D311yescharacteristic
121C2×C3×#41C2×D311yescharacteristic
122C23×C3×C4—31no—
123C22×#67—61no—
124C22×D12—31no—
125C22×D12—31no—
126C22×D12—61no—
127C22×D12—61no—
128C22×C4×D3C2×D311yescharacteristic
129C2×C3×M16—31no—
130C3×#123—61no—
131C3×C22⋊Q8—31no—
132C3×C22⋊Q8—31no—
133C3×#121—31no—
134C3×#121—31no—
135C3×#120—61no—
136C3×C4×D4—61no—
137C3×C4×D4—61no—
138C3×#117—31no—
139C2×C3×C4⋊C4—31no—
140#949—64no—
141#949—64no—
142#949—68no—
143#946C2×D311yescharacteristic, complemented
144#946C2×D311yescharacteristic, complemented
145C2×#215—32no—
146C2×#215—32no—
147C2×#215—62no—
148#938C2×D311yescharacteristic, complemented
149#938C2×D311yescharacteristic, complemented
150#937—21no—
151#935—21no—
152C2×#213—32no—
153C2×#213—32no—
154C2×#213—62no—
155#930—32no—
156#930—32no—
157#930—61no—
158#930—61no—
159C4×#67—21no—
160C4×#67—21no—
161C2×(C2×D3)⋊C4—61no—
162C2×(C2×D3)⋊C4—61no—
163#926C2×D311yescharacteristic
164C2×C4⋊Dic3C2×D311yescharacteristic
165C2×#208—31no—
166C2×#208—31no—
167C2×#208—32no—
168C2×#208—61no—
169C2×#208—64no—
170C2×#208C2×D311yescharacteristic
171C22×C3⋊C8—32no—
172D3×M16—64no—
173C2×ΓL(1,𝔽25)—32no—
174C2×D3×C8—32no—
175#895—32no—
176#895—32no—
177#895—61no—
178#895—61no—
179C3×#103—32no—
180C3×#102—32no—
181#835C2×D312yescomplemented
182#832C2×D312yescomplemented
183#821—32no—
184#821—32no—
185#809—32no—
186#809—32no—
187#808—32no—
188#808—32no—
189#807—32no—
190#807—32no—
191C23×C32—21no—
192C23×C32C2×D411yescharacteristic
193C22×C3⋊D3—22no—
194C22×C3⋊D3—42no—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3C2×D411yescharacteristic
201C22×C3×D3C2×D411yescharacteristic
202C32×Q8—21no—
203C32×Q8—21no—
204C32×D4—21no—
205C32×D4—21no—
206C32×D4—42no—
207C2×C32×C4—21no—
208C2×C32×C4—42no—
209C2×C32×C4C2×D412yes—
210C2×C32×C4C2×D411yescharacteristic
211C2×C32×C4#4112yes—
212C2×C32×C4C2411yescharacteristic
213C4⋊(C3⋊D3)—22no—
214C4⋊(C3⋊D3)—22no—
215C4⋊(C3⋊D3)—42no—
216C3×#67—42no—
217C3×#67—42no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—42no—
223C2×C3×Dic3C2×D411yescharacteristic
224C2×C3×Dic3C2×D411yescharacteristic
225C3×C4×D3—22no—
226C3×C4×D3—22no—
227C3×C4×D3—21no—
228C3×C4×D3—21no—
229C3×C4×D3—21no—
230C3×C4×D3—21no—
231#626—44no—
232#626—44no—
233C3⋊(C3⋊C8)C2×D414yescomplemented
234C3×C3⋊C8—22no—
235C2×AGL(1,ℤ/8)—91no—
236C22×M16—91no—
237#525—31no—
238C2×#121—91no—
239#469—92no—
240#468—92no—
241#466—92no—
242#465—92no—
243#428—91no—
244#418—91no—
245#417—31no—
246C24×C3—31no—
247C23×D3—61no—
248C23×D3—61no—
249C23×D3—121no—
250C23×D3#6711yescharacteristic
251C3×#41—24no—
252C3×#41—22no—
253C3×#41—22no—
254C3×#41—22no—
255C3×#41—22no—
256C3×#41—42no—
257C2×C3×Q8—21no—
258C2×C3×Q8C22×D311yescharacteristic
259C2×C3×Q8C22×D311yescharacteristic
260C2×C3×D4—21no—
261C2×C3×D4—21no—
262C2×C3×D4—21no—
263C2×C3×D4—41no—
264C2×C3×D4—61no—
265C2×C3×D4—61no—
266C2×C3×D4C22×D311yescharacteristic
267C2×C3×D4C22×D311yescharacteristic
268C22×C3×C4—21no—
269C22×C3×C4—21no—
270C22×C3×C4—21no—
271C22×C3×C4—31no—
272C22×C3×C4—31no—
273C22×C3×C4—31no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—41no—
277C22×C3×C4—62no—
278C22×C3×C4—62no—
279C22×C3×C4—61no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C2×#67—21no—
283C2×#67—21no—
284C2×#67—62no—
285C2×#67—62no—
286C2×#67—124no—
287C22×Dic3—21no—
288C22×Dic3#6711yescharacteristic
289C2×D12—32no—
290C2×D12—32no—
291C2×D12—62no—
292C2×D12—64no—
293C2×D12—62no—
294C2×D12—62no—
295C2×D12—62no—
296C2×D12—62no—
297C2×D12—62no—
298C2×D12—62no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12—122no—
302C2×D12—121no—
303C2×D12—124no—
304C2×C4×D3—22no—
305C2×C4×D3—22no—
306C2×C4×D3#6711yescharacteristic
307C2×C4×D3#6711yescharacteristic
308C2×C4×D3C22×D311yescharacteristic
309C2×C4×D3C22×D311yescharacteristic
310C3×M16—62no—
311C2×C3×C8—32no—
312C3×C4⋊C4—31no—
313C3×C4⋊C4—32no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—61no—
316C3×C4⋊C4—61no—
317C3×C4⋊C4—61no—
318C3×C22⋊C4—61no—
319C3×C22⋊C4—61no—
320C3×C22⋊C4—61no—
321C3×C22⋊C4—61no—
322C3×C22⋊C4—61no—
323C3×C42—61no—
324#217—21no—
325#217—21no—
326#217—21no—
327#215—64no—
328#215—64no—
329#215—68no—
330#213—64no—
331#213—64no—
332#213—68no—
333(C2×D3)⋊C4—21no—
334(C2×D3)⋊C4—21no—
335(C2×D3)⋊C4—62no—
336(C2×D3)⋊C4—62no—
337(C2×D3)⋊C4—62no—
338(C2×D3)⋊C4—62no—
339C4⋊Dic3—21no—
340C4⋊Dic3C22×D311yescharacteristic
341C4⋊Dic3C22×D312yes—
342C4⋊Dic3C22×D311yescharacteristic
343Dic3⋊C4—21no—
344Dic3⋊C4—21no—
345C4×Dic3—21no—
346#208—22no—
347#208—34no—
348#208—34no—
349#208—64no—
350#208—64no—
351C2×C3⋊C8—32no—
352C2×C3⋊C8—32no—
353C2×C3⋊C8—62no—
354C2×C3⋊C8—64no—
355C2×C3⋊C8C22×D312yes—
356ΓL(1,𝔽25)—64no—
357D3×C8—64no—
358C22×C32—21no—
359C22×C32—21no—
360C22×C32—41no—
361C22×C32—41no—
362C22×C32—41no—
363C22×C32#12112yes—
364C22×C32C22×D411yescharacteristic
365C2×C3⋊D3—42no—
366C2×C3⋊D3—42no—
367C2×C3⋊D3—42no—
368C2×C3⋊D3—84no—
369C2×C3×D3—21no—
370C2×C3×D3—21no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—21no—
374C2×C3×D3—44no—
375C2×C3×D3AGL(1,ℤ/8)12yescomplemented
376C32×C4—41no—
377C32×C4#12112yes—
378C32×C4C22×D411yescharacteristic
379C32×C4C2×#4111yescharacteristic
380C3×Dic3—21no—
381C3×Dic3—21no—
382C3×Dic3—42no—
383C3×Dic3—41no—
384C3×Dic3—41no—
385C2×#41D3211yescharacteristic
386C22×D4—91no—
387C22×D4—181no—
388C23×C4—31no—
389AGL(1,ℤ/8)—184no—
390C2×SD16—92no—
391C2×D8—92no—
392C2×M16—31no—
393C2×M16—92no—
394C2×M16—91no—
395C2×M16—184no—
396C22×C8—92no—
397#123—61no—
398C22⋊Q8—31no—
399C22⋊Q8—31no—
400#121—31no—
401#121—31no—
402#121—92no—
403#121—92no—
404#121—181no—
405#121—181no—
406#120—61no—
407C4×D4—61no—
408C4×D4—61no—
409#117—31no—
410C2×C4⋊C4—31no—
411C2×C22⋊C4—181no—
412#107—92no—
413#106—92no—
414#103—32no—
415#102—32no—
416#102—92no—
417#102—92no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—41no—
424C23×C3—62no—
425C23×C3—62no—
426C23×C3—121no—
427C23×C3D3×D411yescharacteristic
428C23×C3C2×#6711yescharacteristic
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—41no—
432C22×D3—62no—
433C22×D3—62no—
434C22×D3—122no—
435C22×D3—124no—
436C22×D3—122no—
437C22×D3—122no—
438C22×D3—122no—
439C22×D3—122no—
440C22×D3—122no—
441C22×D3—122no—
442C22×D3—242no—
443C22×D3—242no—
444C22×D3C2×#6711yescharacteristic
445C22×D3C2×#6711yescharacteristic
446C3×Q8—22no—
447C3×Q8—21no—
448C3×Q8—21no—
449C3×Q8—21no—
450C3×Q8—21no—
451C3×Q8—41no—
452C3×D4—22no—
453C3×D4—21no—
454C3×D4—21no—
455C3×D4—21no—
456C3×D4—21no—
457C3×D4—41no—
458C3×D4—44no—
459C3×D4—42no—
460C3×D4—42no—
461C3×D4—122no—
462C3×D4—122no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—22no—
467C2×C3×C4—21no—
468C2×C3×C4—22no—
469C2×C3×C4—31no—
470C2×C3×C4—31no—
471C2×C3×C4—41no—
472C2×C3×C4—44no—
473C2×C3×C4—42no—
474C2×C3×C4—42no—
475C2×C3×C4—62no—
476C2×C3×C4—62no—
477C2×C3×C4—62no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—62no—
485C2×C3×C4—122no—
486C2×C3×C4#23512yes—
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4D3×D412yes—
489C2×C3×C4D3×D412yes—
490C2×C3×C4#23712yes—
491C2×C3×C4C2×#6711yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—42no—
495#67—42no—
496#67—124no—
497#67—124no—
498C2×Dic3—22no—
499C2×Dic3—22no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—42no—
503C2×Dic3C2×#6711yescharacteristic
504C2×Dic3C2×#6711yescharacteristic
505D12—64no—
506D12—62no—
507D12—62no—
508D12—62no—
509D12—62no—
510D12—122no—
511D12—124no—
512D12—124no—
513D12—124no—
514D12—122no—
515D12—122no—
516C4×D3—22no—
517C4×D3—22no—
518C4×D3—21no—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—21no—
522C3×C8—62no—
523C3⋊C8—22no—
524C3⋊C8—34no—
525C3⋊C8—34no—
526C3⋊C8—64no—
527C2×C32—22no—
528C2×C32—81no—
529C2×C32C2×#12111yescharacteristic
530C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
531C2×C32#57511yescharacteristic
532C3⋊D3—82no—
533C3×D3—22no—
534C3×D3—41no—
535C24—31no—
536C24—181no—
537#41—22no—
538#41—22no—
539C2×Q8C2×D3211yescharacteristic
540C2×D4—21no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—92no—
544C2×D4—182no—
545C2×D4—182no—
546C2×D4—182no—
547C2×D4—181no—
548C2×D4—182no—
549C2×D4—364no—
550C2×D4C2×D3211yescharacteristic
551C22×C4—21no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—31no—
555C22×C4—31no—
556C22×C4—31no—
557C22×C4—62no—
558C22×C4—62no—
559C22×C4—61no—
560C22×C4C2×D3211yescharacteristic
561SD16—184no—
562D8—184no—
563M16—62no—
564M16—94no—
565M16—184no—
566C2×C8—32no—
567C2×C8—92no—
568C2×C8—184no—
569C4⋊C4—32no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C22⋊C4—61no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—182no—
581C22⋊C4—182no—
582C42—61no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—22no—
589C22×C3—32no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—42no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—81no—
605C22×C3—81no—
606C22×C3—124no—
607C22×C3#88412yes—
608C22×C3#93912yes—
609C22×C3C2×D3×D411yescharacteristic
610C22×C3C22×#6711yescharacteristic
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—44no—
617C2×D3—124no—
618C2×D3—122no—
619C2×D3—122no—
620C2×D3—122no—
621C2×D3—122no—
622C2×D3—122no—
623C2×D3—122no—
624C2×D3—242no—
625C2×D3—242no—
626C2×D3—244no—
627C2×D3—244no—
628C2×D3—248no—
629C2×D3#94912yescomplemented
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—22no—
633C3×C4—42no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4—122no—
641C3×C4#88412yes—
642C3×C4#93912yes—
643C3×C4C2×#23511yescharacteristic
644C3×C4C2×D3×D411yescharacteristic
645C3×C4C2×D3×D411yescharacteristic
646C3×C4C2×#23711yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—42no—
650Dic3—41no—
651Dic3—41no—
652C32#305511yescharacteristic, complemented, Sylow
653C23—21no—
654C23—31no—
655C23—31no—
656C23—62no—
657C23—62no—
658C23—121no—
659C23—182no—
660C23—362no—
661C23—362no—
662C23—362no—
663C23D3×#6711yescharacteristic
664Q8—21no—
665Q8—21no—
666D4—21no—
667D4—21no—
668D4—42no—
669D4—122no—
670D4—122no—
671D4—182no—
672D4—182no—
673D4—364no—
674D4—364no—
675D4—362no—
676C2×C4—21no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—42no—
680C2×C4—62no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—62no—
690C2×C4—122no—
691C2×C4#380412yes—
692C2×C4D3×#6711yescharacteristic
693C2×C4#381112yes—
694C2×C4C22×D3211yescharacteristic
695C8—62no—
696C8—94no—
697C2×C3—22no—
698C2×C3—22no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—42no—
703C2×C3—62no—
704C2×C3—82no—
705C2×C3—81no—
706C2×C3—81no—
707C2×C3—121no—
708C2×C3C2×#88411yescharacteristic
709C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
710C2×C3#577711yescharacteristic
711C2×C3C2×#93911yescharacteristic
712C2×C3C2×#94911yescharacteristic
713C2×C3#582211yescharacteristic
714D3—22no—
715D3—41no—
716D3—244no—
717D3—242no—
718D3—242no—
719C22—21no—
720C22—21no—
721C22—32no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—61no—
726C22—61no—
727C22—61no—
728C22—61no—
729C22—61no—
730C22—124no—
731C22—362no—
732C22—362no—
733C22—362no—
734C22—724no—
735C22#6397112yes—
736C22C2×D3×#6711yescharacteristic
737C4—41no—
738C4—61no—
739C4—61no—
740C4—122no—
741C4—121no—
742C4—121no—
743C4#6397112yes—
744C4C2×#380411yescharacteristic
745C4C2×#381111yescharacteristic
746C3—21no—
747C3#7888811yescharacteristic, complemented
748C3#8292411yescharacteristic, complemented
749C2—22no—
750C2—62no—
751C2—81no—
752C2—121no—
753C2—722no—
754C2D3×#94911yescharacteristic
755C2#1059547011yescharacteristic
756C2C2×#6397111yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3055
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×#5828C2semidirect
3. C2×#63909C2semidirect
4. C2×D3×#208C2semidirect
5. C3×#5232C2semidirect
6. #10591589C2semidirect
7. #10591585C2semidirect
8. #10591453C2semidirect
9. #10591449C2semidirect
10. #10591139C2semidirect
11. #10591096C2semidirect
19. C2×#3755C22semidirect
20. C2×#3753C22semidirect
22. C3×#946C22semidirect
23. C3×#946C22semidirect
24. C3×#938C22semidirect
25. C3×#938C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. C3×#835C22semidirect
42. C3×#832C22semidirect
43. #63576C22semidirect
44. #63574C22semidirect
45. #63564C22semidirect
46. #63564C22semidirect
48. #5828D3semidirect
57. #5232D3semidirect
98. #3748D4semidirect
143. #946C2×D3semidirect
144. #946C2×D3semidirect
148. #938C2×D3semidirect
149. #938C2×D3semidirect
181. #835C2×D3semidirect
182. #832C2×D3semidirect
233. C3⋊(C3⋊C8)C2×D4semidirect
375. C2×C3×D3AGL(1,ℤ/8)semidirect
629. C2×D3#949semidirect
652. C32#3055semidirect
747. C3#78888semidirect
748. C3#82924semidirect

Maximal subgroups

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

subgroupindex
C2×#641582
C3×#58282
C2×#639092
C2×D3×#2082
C3×#52322
#105915892
#105915852
#105914532
#105914492
#105911392
#105910962
#829243
#788883