Finite Group Databasebeta

← #11867158

Subgroups — #11867158

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×#64141C211yesmaximal, characteristic, complemented
2C2×C3×#938C211yesmaximal, characteristic, complemented
3#10595023C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5C3×#5215C211yesmaximal, characteristic, complemented
6#10591462C212yesmaximal, complemented
7#10591460C212yesmaximal, complemented
8#10591453C212yesmaximal, complemented
9#10591449C212yesmaximal, complemented
10#10591139C211yesmaximal, characteristic, complemented
11#10591106C211yesmaximal, characteristic, complemented
12#82621—31nomaximal
13#78930—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C2×#3828C2211yescharacteristic
16C22×C3×#67—21no—
17C22×C3×C4×D3C2211yescharacteristic
18C2×#3754C2212yescomplemented
19#64141—24no—
20C2×#3753C2212yescomplemented
21C2×#3748C2211yescharacteristic
22C2×C3×#217—21no—
23C3×#938—21no—
24C3×#938—21no—
25C3×#938C2212yes—
26C3×#938C2212yes—
27C3×#926C2211yescharacteristic
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30#63977—21no—
31#63966—21no—
32#63909C2211yescharacteristic, complemented
33#63909C2211yescharacteristic, complemented
34C4×#626—21no—
35C4×#626—21no—
36#63857C2211yescharacteristic, complemented
37#63857C2211yescharacteristic, complemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41C3×#832C2212yescomplemented
42C3×#832C2212yescomplemented
43#63576C2212yescomplemented
44#63574C2212yescomplemented
45#63567C2212yescomplemented
46#63564C2212yescomplemented
47C2×C3×#121—31no—
48C2×#938D311yescharacteristic, complemented
49C2×#932—31no—
50C2×#932—31no—
51C2×#932—61no—
52#5791—31no—
53C22×#208—31no—
54C2×D3×M16—31no—
55#5524—31no—
56C3×#418—31no—
57#5215D311yescharacteristic, complemented
58#5133—31no—
59#5042—32no—
60#5041—32no—
61#5039—32no—
62#5038—32no—
63#4995—31no—
64#4966—31no—
65#4964—31no—
66#4782—32no—
67#4780—32no—
68#4778—32no—
69#4775—32no—
70C24×C32—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×D4—22no—
73C2×C32×D4—21no—
74C2×C32×D4—22no—
75C2×C32×D4C2312yes—
76C22×C32×C4C2311yescharacteristic
77C2×#638—21no—
78#3828—22no—
79#3828—22no—
80C2×C4⋊(C3⋊D3)C2311yescharacteristic
81C2×C4×C3⋊D3—21no—
82C2×#634C2311yescharacteristic
83C2×C3×#67—22no—
84C2×C3×#67—22no—
85C2×C3×#67—44no—
86C22×C3×Dic3—21no—
87C22×C3×Dic3D411yescharacteristic
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3—22no—
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3D411yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×C3×C4×D3C2311yescharacteristic
94C2×#626—21no—
95C2×#626—21no—
96#3754—24no—
97#3753—24no—
98#3748D414yescomplemented
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×#217—22no—
102C3×#217—22no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3C2312yes—
105C3×C4⋊Dic3C2311yescharacteristic
106C3×C4⋊Dic3C2311yescharacteristic
107C3×C4×Dic3—21no—
108C3×#208—22no—
109C2×C3×C3⋊C8C2312yes—
110Dic3⋊Dic3—21no—
111Dic3⋊Dic3—21no—
112#3722—21no—
113#3722—21no—
114(C2×D3)⋊Dic3—21no—
115(C2×D3)⋊Dic3—21no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C22×C3×D4—21no—
120C22×C3×D4—61no—
121C22×C3×D4C2×D311yescharacteristic
122C22×C3×D4C2×D311yescharacteristic
123C23×C3×C4—31no—
124C22×#67—21no—
125C2×#235—31no—
126C2×#235—31no—
127C2×#235—61no—
128C22×C4×D3C2×D311yescharacteristic
129C2×C3×M16—31no—
130C3×#121—32no—
131C3×#121—32no—
132C3×#121—61no—
133C3×#121—61no—
134C3×#117—31no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C22⋊C4—61no—
137#953—61no—
138C2×#217—21no—
139#938—21no—
140#938—21no—
141#938C2×D312yes—
142#938C2×D312yes—
143C2×#214—32no—
144C2×#214—32no—
145C2×#214—62no—
146#932—64no—
147#932—64no—
148#932—68no—
149C2×#213—32no—
150C2×#213—32no—
151C2×#213—62no—
152#930—31no—
153#930—31no—
154#929—61no—
155C4×#67—61no—
156C4×#67—61no—
157#926C2×D311yescharacteristic
158C2×C4⋊Dic3C2×D311yescharacteristic
159#924—31no—
160#924—31no—
161C2×#208—31no—
162C2×#208—31no—
163C2×#208—32no—
164C2×#208—61no—
165C2×#208—64no—
166C2×#208C2×D311yescharacteristic
167C22×C3⋊C8—32no—
168D3×M16—64no—
169C2×ΓL(1,𝔽25)—32no—
170C2×D3×C8—32no—
171#897—31no—
172#897—31no—
173#895—31no—
174#895—31no—
175#886—61no—
176#882—61no—
177C4×D12—61no—
178C4×D12—61no—
179C3×#102—32no—
180C3×#102—32no—
181#832C2×D312yescomplemented
182#832C2×D312yescomplemented
183#821—32no—
184#816—32no—
185#810—32no—
186#809—32no—
187#808—32no—
188#808—32no—
189#807—32no—
190#807—32no—
191C23×C32—22no—
192C23×C32—42no—
193C23×C32—42no—
194C23×C32—42no—
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3—21no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3C2×D411yescharacteristic
201C22×C3×D3C2×D411yescharacteristic
202C32×D4—22no—
203C32×D4—22no—
204C32×D4—42no—
205C2×C32×C4C2×D412yes—
206C2×C32×C4C2×D411yescharacteristic
207C2×C32×C4#4112yes—
208C2×C32×C4C2411yescharacteristic
209#638—42no—
210C2×C3⋊Dic3—21no—
211C4⋊(C3⋊D3)—21no—
212C4⋊(C3⋊D3)—21no—
213C4×C3⋊D3—42no—
214#634—21no—
215#634—21no—
216C3×#67—44no—
217C3×#67—44no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—21no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—22no—
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—42no—
232#626—42no—
233C3⋊(C3⋊C8)C2×D414yescomplemented
234C3×C3⋊C8—22no—
235C2×AGL(1,ℤ/8)—91no—
236C22×M16—91no—
237#525—91no—
238C2×#121—31no—
239#469—92no—
240#468—92no—
241#466—92no—
242#465—92no—
243#428—91no—
244#418—31no—
245#417—91no—
246C24×C3—21no—
247C24×C3—21no—
248C24×C3—31no—
249C24×C3—41no—
250C23×D3#6711yescharacteristic
251C2×C3×D4—24no—
252C2×C3×D4—22no—
253C2×C3×D4—22no—
254C2×C3×D4—22no—
255C2×C3×D4—21no—
256C2×C3×D4—22no—
257C2×C3×D4—21no—
258C2×C3×D4—22no—
259C2×C3×D4—42no—
260C2×C3×D4—41no—
261C2×C3×D4—62no—
262C2×C3×D4—62no—
263C2×C3×D4—124no—
264C2×C3×D4C22×D312yes—
265C2×C3×D4C22×D312yes—
266C22×C3×C4—21no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—31no—
270C22×C3×C4—31no—
271C22×C3×C4—31no—
272C22×C3×C4—62no—
273C22×C3×C4—62no—
274C22×C3×C4—61no—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C2×#67—22no—
278C2×#67—22no—
279C2×#67—44no—
280C2×#67—61no—
281C2×#67—61no—
282C2×#67—61no—
283C2×#67—61no—
284C2×#67—121no—
285C22×Dic3—21no—
286C22×Dic3#6711yescharacteristic
287#235—64no—
288#235—62no—
289#235—62no—
290#235—62no—
291#235—62no—
292#235—122no—
293C2×D12—31no—
294C2×D12—31no—
295C2×D12—61no—
296C2×D12—61no—
297C2×D12—61no—
298C2×C4×D3—22no—
299C2×C4×D3—22no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—121no—
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3#6711yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C3×M16—62no—
311C2×C3×C8—32no—
312C3×C4⋊C4—31no—
313C3×C4⋊C4—32no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—61no—
316C3×C22⋊C4—62no—
317C3×C22⋊C4—62no—
318C3×C22⋊C4—61no—
319C3×C42—61no—
320#217—21no—
321#217—22no—
322#217—22no—
323#217—61no—
324#217—61no—
325#214—64no—
326#214—64no—
327#214—68no—
328#213—64no—
329#213—64no—
330#213—68no—
331(C2×D3)⋊C4—61no—
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—
337C4⋊Dic3—21no—
338C4⋊Dic3—61no—
339C4⋊Dic3—61no—
340C4⋊Dic3C22×D311yescharacteristic
341C4⋊Dic3C22×D312yes—
342C4⋊Dic3C22×D311yescharacteristic
343Dic3⋊C4—61no—
344Dic3⋊C4—61no—
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—42no—
361C22×C32—42no—
362C22×C32—42no—
363C22×C32—84no—
364C22×C32#12112yes—
365C22×C32C22×D411yescharacteristic
366C2×C3⋊D3—41no—
367C2×C3⋊D3—41no—
368C2×C3⋊D3—41no—
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#12112yes—
377C32×C4C22×D411yescharacteristic
378C32×C4C2×#4111yescharacteristic
379C3⋊Dic3—41no—
380C3×Dic3—21no—
381C3×Dic3—21no—
382C3×Dic3—41no—
383C3×Dic3—42no—
384C3×Dic3—41no—
385C2×#41—91no—
386C22×D4—61no—
387C22×D4D3211yescharacteristic
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—181no—
398C22⋊Q8—91no—
399C22⋊Q8—91no—
400#121—32no—
401#121—32no—
402#121—61no—
403#121—61no—
404#121—91no—
405#121—91no—
406#120—181no—
407C4×D4—181no—
408C4×D4—181no—
409#117—31no—
410C2×C4⋊C4—31no—
411C2×C22⋊C4—61no—
412#107—92no—
413#106—92no—
414#103—92no—
415#102—32no—
416#102—32no—
417#102—92no—
418C23×C3—22no—
419C23×C3—22no—
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—42no—
424C23×C3—42no—
425C23×C3—44no—
426C23×C3—42no—
427C23×C3—42no—
428C23×C3—42no—
429C23×C3—42no—
430C23×C3—42no—
431C23×C3—62no—
432C23×C3—62no—
433C23×C3—82no—
434C23×C3—82no—
435C23×C3—121no—
436C23×C3D3×D411yescharacteristic
437C23×C3C2×#6711yescharacteristic
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—41no—
441C22×D3—61no—
442C22×D3—61no—
443C22×D3—121no—
444C22×D3C2×#6711yescharacteristic
445C22×D3C2×#6711yescharacteristic
446C3×D4—24no—
447C3×D4—22no—
448C3×D4—22no—
449C3×D4—22no—
450C3×D4—22no—
451C3×D4—42no—
452C3×D4—44no—
453C3×D4—42no—
454C3×D4—42no—
455C3×D4—124no—
456C3×D4—124no—
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—62no—
464C2×C3×C4—62no—
465C2×C3×C4—62no—
466C2×C3×C4—61no—
467C2×C3×C4—61no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—62no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—122no—
474C2×C3×C4#23512yes—
475C2×C3×C4D3×D411yescharacteristic
476C2×C3×C4D3×D412yes—
477C2×C3×C4D3×D412yes—
478C2×C3×C4#23712yes—
479C2×C3×C4C2×#6711yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481C2×C3×C4C23×D311yescharacteristic
482#67—44no—
483#67—44no—
484#67—122no—
485#67—122no—
486#67—124no—
487#67—122no—
488#67—122no—
489C2×Dic3—22no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—22no—
493C2×Dic3—42no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—121no—
497C2×Dic3C2×#6711yescharacteristic
498C2×Dic3C2×#6711yescharacteristic
499D12—62no—
500D12—61no—
501D12—61no—
502D12—61no—
503D12—61no—
504D12—121no—
505D12—122no—
506D12—122no—
507C4×D3—22no—
508C4×D3—22no—
509C4×D3—21no—
510C4×D3—21no—
511C4×D3—21no—
512C4×D3—21no—
513C4×D3—124no—
514C4×D3—122no—
515C4×D3—122no—
516Dic6—62no—
517Dic6—61no—
518Dic6—61no—
519Dic6—61no—
520Dic6—61no—
521Dic6—121no—
522C3×C8—62no—
523C3⋊C8—22no—
524C3⋊C8—34no—
525C3⋊C8—34no—
526C3⋊C8—64no—
527C2×C32—22no—
528C2×C32—82no—
529C2×C32C2×#12111yescharacteristic
530C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
531C2×C32#57511yescharacteristic
532C3⋊D3—81no—
533C3×D3—22no—
534C3×D3—41no—
535C24—21no—
536C24—31no—
537#41—182no—
538#41—182no—
539C2×Q8—91no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—62no—
544C2×D4—62no—
545C2×D4—91no—
546C2×D4—124no—
547C2×D4—181no—
548C2×D4—181no—
549C2×D4—181no—
550C2×D4C2×D3212yes—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—31no—
555C22×C4—31no—
556C22×C4—62no—
557C22×C4—62no—
558C22×C4—61no—
559C22×C4—181no—
560C22×C4C2×D3211yescharacteristic
561SD16—184no—
562D8—184no—
563M16—62no—
564M16—94no—
565M16—184no—
566C2×C8—32no—
567C2×C8—92no—
568C2×C8—184no—
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—32no—
572C4⋊C4—61no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C22⋊C4—62no—
576C22⋊C4—62no—
577C22⋊C4—61no—
578C22⋊C4—181no—
579C22⋊C4—181no—
580C22⋊C4—181no—
581C22⋊C4—181no—
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—44no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—42no—
598C22×C3—42no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—82no—
605C22×C3—82no—
606C22×C3—84no—
607C22×C3—84no—
608C22×C3—88no—
609C22×C3—124no—
610C22×C3#88412yes—
611C22×C3#93912yes—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C22×#6711yescharacteristic
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—44no—
620C2×D3—122no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—241no—
628C2×D3—241no—
629C2×D3#93212yescomplemented
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—22no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—122no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4#88412yes—
639C3×C4#93912yes—
640C3×C4C2×#23511yescharacteristic
641C3×C4C2×D3×D411yescharacteristic
642C3×C4C2×D3×D411yescharacteristic
643C3×C4C2×#23711yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—42no—
649Dic3—122no—
650Dic3—121no—
651Dic3—121no—
652C32#305511yescharacteristic, complemented, Sylow
653C23—22no—
654C23—31no—
655C23—31no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—62no—
660C23—62no—
661C23—121no—
662C23—181no—
663C23D3×#6711yescharacteristic
664Q8—181no—
665Q8—181no—
666D4—22no—
667D4—22no—
668D4—42no—
669D4—124no—
670D4—124no—
671D4—181no—
672D4—181no—
673D4—362no—
674D4—362no—
675D4—362no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—62no—
688C2×C4—122no—
689C2×C4—181no—
690C2×C4—362no—
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—84no—
705C2×C3—82no—
706C2×C3—82no—
707C2×C3—121no—
708C2×C3C2×#88411yescharacteristic
709C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
710C2×C3#577311yescharacteristic
711C2×C3C2×#93211yescharacteristic
712C2×C3C2×#93911yescharacteristic
713C2×C3#582211yescharacteristic
714D3—22no—
715D3—41no—
716D3—242no—
717D3—241no—
718D3—241no—
719C22—21no—
720C22—21no—
721C22—32no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—61no—
726C22—61no—
727C22—61no—
728C22—61no—
729C22—61no—
730C22—84no—
731C22—124no—
732C22—361no—
733C22—361no—
734C22—361no—
735C22#6397112yes—
736C22C2×D3×#6711yescharacteristic
737C4—61no—
738C4—61no—
739C4—122no—
740C4—121no—
741C4—121no—
742C4—361no—
743C4#6397112yes—
744C4C2×#380411yescharacteristic
745C4C2×#381111yescharacteristic
746C3—21no—
747C3#7893011yescharacteristic, complemented
748C3#8262111yescharacteristic, complemented
749C2—22no—
750C2—62no—
751C2—82no—
752C2—121no—
753C2—721no—
754C2D3×#93211yescharacteristic
755C2#1059509511yescharacteristic
756C2C2×#6397111yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
hypercenterC22×D4D32
hypocenterC32#3055
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×#938C2semidirect
3. #10595023C2semidirect
4. C2×D3×#208C2semidirect
5. C3×#5215C2semidirect
6. #10591462C2semidirect
7. #10591460C2semidirect
8. #10591453C2semidirect
9. #10591449C2semidirect
10. #10591139C2semidirect
11. #10591106C2semidirect
18. C2×#3754C22semidirect
20. C2×#3753C22semidirect
32. #63909C22semidirect
33. #63909C22semidirect
36. #63857C22semidirect
37. #63857C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. C3×#832C22semidirect
42. C3×#832C22semidirect
43. #63576C22semidirect
44. #63574C22semidirect
45. #63567C22semidirect
46. #63564C22semidirect
48. C2×#938D3semidirect
57. #5215D3semidirect
98. #3748D4semidirect
181. #832C2×D3semidirect
182. #832C2×D3semidirect
233. C3⋊(C3⋊C8)C2×D4semidirect
375. C2×C3×D3AGL(1,ℤ/8)semidirect
629. C2×D3#932semidirect
652. C32#3055semidirect
747. C3#78930semidirect
748. C3#82621semidirect

Maximal subgroups

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

subgroupindex
C2×#641412
C2×C3×#9382
#105950232
C2×D3×#2082
C3×#52152
#105914622
#105914602
#105914532
#105914492
#105911392
#105911062
#826213
#789303