Finite Group Databasebeta

← #11858029

Subgroups — #11858029

Order 1152.

1703 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic
2#10595994C211yesmaximal, characteristic, complemented
3C2×#63817C211yesmaximal, characteristic, complemented
4C3×#5002C211yesmaximal, characteristic, complemented
5C3×#5001C211yesmaximal, characteristic, complemented
6#10591088C211yesmaximal, characteristic, complemented
7C2×#63563C211yesmaximal, characteristic, complemented
8#10590612C212yesmaximal, complemented
9#10590611C212yesmaximal, complemented
10#10590594C212yesmaximal, complemented
11#10590593C212yesmaximal, complemented
12#78925—31nomaximal
13#78831—31nomaximal
14C2×#3828C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C2×D3×#67—22no—
18#64307—24no—
19#64307C418yescomplemented
20C2×#3802C2212yes—
21C2×D3×D12—21no—
22C2×#3796C2212yes—
23C2×#3795—21no—
24C32×#117C2211yescharacteristic, complemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
26#64101C2212yescomplemented
27C4⋊C4×C3⋊D3C2212yescomplemented
28#64090—22no—
29C4×C4⋊(C3⋊D3)—21no—
30C4×#634—21no—
31C2×C3×#208C2211yescharacteristic, complemented
32C22×C3×C3⋊C8C2211yescharacteristic, complemented
33C2×#3712C2212yescomplemented
34#63817—24no—
35C2×#3710C2212yescomplemented
36C3×#810C2211yescharacteristic, complemented
37C3×#810C2211yescharacteristic, complemented
38C3×#809C2212yescomplemented
39C3×#809C2212yescomplemented
40C3×#809C2211yescharacteristic, complemented
41C3×#809C2211yescharacteristic, complemented
42#63566C2212yescomplemented
43#63563C2212yescomplemented
44#63563C2212yescomplemented
45#63563C2212yescomplemented
46C2×#1009—31no—
47C2×#1004—31no—
48C2×#907—31no—
49C2×#901—31no—
50#5523—31no—
51#5523—31no—
52#5523—61no—
53C3×#418—31no—
54C3×#416—31no—
55#5232—31no—
56C2×#832—31no—
57#5133—31no—
58C2×#821—31no—
59#5002D311yescharacteristic, complemented
60#5001D311yescharacteristic, complemented
61#4804—32no—
62#4803—32no—
63#4772—32no—
64#4771—32no—
65#4770—32no—
66#4770—32no—
67D3×#102—32no—
68D3×#102—32no—
69C23×C3×D3—21no—
70C22×D32—22no—
71C22×C32×C4C2311yescharacteristic
72C2×#638D412yes—
73C22×C3⋊Dic3—21no—
74#3828C2×C414yes—
75#3828D414yes—
76C2×C4⋊(C3⋊D3)D411yescharacteristic
77C2×C4×C3⋊D3—22no—
78C2×C4×C3⋊D3C2312yes—
79C2×#634D411yescharacteristic
80C2×C3×#67—21no—
81C3×#235—22no—
82C3×#235C2×C414yescomplemented
83C2×C3×D12—21no—
84C2×C3×D12—22no—
85C2×C3×D12C2×C414yescomplemented
86C2×C3×D12C2312yes—
87C2×C3×D12C2311yescharacteristic
88C2×C3×C4×D3—21no—
89C2×C3×Dic6C2311yescharacteristic
90D3×#67—216no—
91C2×#626—22no—
92C2×#625—22no—
93C2×D3×Dic3—22no—
94#3802—24no—
95#3802C2×C418yescomplemented
96D3×D12—28no—
97#3796—24no—
98#3796C2×C418yescomplemented
99#3795—28no—
100C32×C4⋊C4C2311yescharacteristic
101C32×C4⋊C4C2311yescharacteristic
102C32×C22⋊C4—21no—
103C32×C42—21no—
104#3752—22no—
105C4⋊(C3⋊Dic3)—21no—
106C4⋊(C3⋊Dic3)C2312yes—
107#3750—22no—
108C4×C3⋊Dic3—22no—
109C3×#208—22no—
110C2×C3×C3⋊C8—22no—
111C2×C3×C3⋊C8C2311yescharacteristic
112C2×C3×C3⋊C8C2311yescharacteristic
113C2×C3×C3⋊C8C2312yes—
114#3712—24no—
115#3710—24no—
116#2897—91noSylow
117C2×C3×#41—31no—
118C22×C3×D4—31no—
119C22×#67—62no—
120#1009—38no—
121#1009—64no—
122C2×#239—32no—
123#1004—38no—
124#1004—64no—
125C2×#237—32no—
126C2×#237—61no—
127C2×D3×D4—32no—
128C2×D3×D4—32no—
129C2×D3×D4—61no—
130C2×D3×D4—62no—
131C2×#235—31no—
132C2×#235—31no—
133C2×#235—61no—
134C2×#235—61no—
135C2×#235C2×D311yescharacteristic
136C22×D12—61no—
137C22×D12C2×D311yescharacteristic
138C2×C3×M16—31no—
139C22×C3×C8—31no—
140C3×#117—21no—
141C3×#117C2×D311yescharacteristic, complemented
142C3×#117C2×D311yescharacteristic, complemented
143C2×C4⋊Dic3—31no—
144C2×C4⋊Dic3—31no—
145C2×C4⋊Dic3—61no—
146C2×#208C2×D311yescharacteristic, complemented
147C22×C3⋊C8C2×D311yescharacteristic, complemented
148#907—64no—
149#901—64no—
150C2×ΓL(1,𝔽25)—32no—
151C2×ΓL(1,𝔽25)—32no—
152C2×D3×C8—32no—
153C2×D3×C8—32no—
154#892—32no—
155#892—32no—
156#892—62no—
157D3×C4⋊C4—32no—
158D3×C4⋊C4—32no—
159D3×C4⋊C4—62no—
160#67⋊C4—62no—
161#67⋊C4—62no—
162#67⋊C4—64no—
163C4×D12—61no—
164C4×D12—61no—
165C4×D12—62no—
166C4×Dic6—61no—
167C4×Dic6—61no—
168C4×Dic6—62no—
169C3×#103—31no—
170C3×#103—31no—
171C3×#102—31no—
172C3×#102—32no—
173C3×#102—31no—
174C3×#102—32no—
175#835—32no—
176#832—32no—
177#832—32no—
178#832—32no—
179#821—32no—
180#821—32no—
181#821—32no—
182#816—32no—
183#810C2×D311yescharacteristic, complemented
184#810C2×D311yescharacteristic, complemented
185#809C2×D312yescomplemented
186#809C2×D312yescomplemented
187#809C2×D311yescharacteristic, complemented
188#809C2×D311yescharacteristic, complemented
189C23×C32C2×D411yescharacteristic
190C22×C3⋊D3C2×D412yes—
191C22×C3×D3—21no—
192C22×C3×D3—22no—
193C22×C3×D3—24no—
194C22×C3×D3—81no—
195C22×C3×D3—81no—
196C2×D32—28no—
197C2×D32—82no—
198C2×D32—82no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4C22×C412yes—
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2411yescharacteristic
205#638C22⋊C418yes—
206C2×C3⋊Dic3—22no—
207C2×C3⋊Dic3—81no—
208C2×C3⋊Dic3C2×D412yes—
209C4⋊(C3⋊D3)C22⋊C414yes—
210C4×C3⋊D3—82no—
211C4×C3⋊D3C22×C414yes—
212C4×C3⋊D3C2×D414yes—
213#634C22⋊C414yes—
214C3×#67—24no—
215C2×C3×Dic3—21no—
216C3×D12—24no—
217C3×D12—22no—
218C3×D12—21no—
219C3×D12C22×C414yes—
220C3×D12C22×C412yes—
221C3×C4×D3—24no—
222C3×Dic6—21no—
223C3×Dic6C22×C412yes—
224#626—28no—
225#625—28no—
226D3×Dic3—28no—
227C3×C3⋊C8—21no—
228C3×C3⋊C8—22no—
229C3×C3⋊C8—21no—
230C2×H(5,𝔽2)—91no—
231C2×#131—91no—
232#520—91no—
233#418—31no—
234#418—92no—
235#417—92no—
236#417—91no—
237#416—31no—
238#416—92no—
239C2×#102—92no—
240C2×#102—91no—
241C24×C3—61no—
242C23×D3—21no—
243C23×D3—62no—
244C23×D3—62no—
245C3×#41—34no—
246C3×#41—62no—
247C2×C3×Q8—31no—
248C2×C3×D4—34no—
249C2×C3×D4—31no—
250C2×C3×D4—32no—
251C2×C3×D4—61no—
252C2×C3×D4—61no—
253C2×C3×D4—62no—
254C22×C3×C4—21no—
255C22×C3×C4—61no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C2×#67—21no—
259C2×#67—32no—
260C2×#67—32no—
261C2×#67—62no—
262C2×#67—62no—
263C2×#67—62no—
264C2×#67—62no—
265C2×#67—616no—
266C22×Dic3—62no—
267C22×Dic3—62no—
268C22×Dic3—61no—
269C22×Dic3—61no—
270#239—38no—
271#239—64no—
272#237—38no—
273#237—64no—
274#237—68no—
275D3×D4—38no—
276D3×D4—38no—
277D3×D4—68no—
278D3×D4—64no—
279D3×D4—64no—
280D3×D4—616no—
281#235—22no—
282#235—34no—
283#235—34no—
284#235—34no—
285#235—34no—
286#235—64no—
287#235—64no—
288#235—68no—
289#235C4×D314yescomplemented
290C2×D12—21no—
291C2×D12—22no—
292C2×D12—31no—
293C2×D12—31no—
294C2×D12—61no—
295C2×D12—68no—
296C2×D12—62no—
297C2×D12C4×D314yescomplemented
298C2×D12C22×D312yes—
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—32no—
302C2×C4×D3—32no—
303C2×C4×D3—62no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×C4×D3—62no—
307C2×C4×D3—64no—
308C2×Dic6—31no—
309C2×Dic6—31no—
310C2×Dic6—61no—
311C2×Dic6C22×D311yescharacteristic
312C3×M16—62no—
313C2×C3×C8—32no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C2×C3×C8—62no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4C22×D311yescharacteristic
320C3×C4⋊C4C22×D311yescharacteristic
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C4⋊C4C22×D311yescharacteristic
323C3×C22⋊C4—22no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—21no—
326C3×C42—22no—
327C3×C42—21no—
328C3×C42—21no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—62no—
331(C2×D3)⋊C4—64no—
332C4⋊Dic3—32no—
333C4⋊Dic3—32no—
334C4⋊Dic3—62no—
335C4⋊Dic3—62no—
336C4⋊Dic3—61no—
337C4⋊Dic3—61no—
338Dic3⋊C4—62no—
339Dic3⋊C4—62no—
340Dic3⋊C4—64no—
341C4×Dic3—62no—
342C4×Dic3—62no—
343C4×Dic3—64no—
344#208—22no—
345C2×C3⋊C8—22no—
346C2×C3⋊C8C22×D312yes—
347C2×C3⋊C8C22×D311yescharacteristic
348C2×C3⋊C8C22×D311yescharacteristic
349ΓL(1,𝔽25)—64no—
350ΓL(1,𝔽25)—64no—
351D3×C8—64no—
352D3×C8—64no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32C2×C22⋊C412yes—
356C22×C32C22×D411yescharacteristic
357C2×C3⋊D3—22no—
358C2×C3⋊D3—22no—
359C2×C3⋊D3C2×C22⋊C414yes—
360C2×C3×D3—24no—
361C2×C3×D3—22no—
362C2×C3×D3—41no—
363C2×C3×D3—42no—
364C2×C3×D3—41no—
365C2×C3×D3—42no—
366C2×C3×D3—84no—
367D32—88no—
368C32×C4—41no—
369C32×C4—41no—
370C32×C4C2×C22⋊C412yes—
371C32×C4C23×C411yescharacteristic
372C32×C4C22×D411yescharacteristic
373C3⋊Dic3—42no—
374C3⋊Dic3C2×C22⋊C414yes—
375C3×Dic3—22no—
376H(5,𝔽2)—98no—
377H(5,𝔽2)—184no—
378C2×#41—31no—
379C2×#41—91no—
380C2×#41—92no—
381C2×#41—181no—
382C22×D4—31no—
383C22×D4—92no—
384C22×D4—181no—
385C22×D4—182no—
386#131—184no—
387C2×M16—31no—
388C2×M16—92no—
389C22×C8—31no—
390C22×C8—92no—
391C4×Q8—181no—
392C4×D4—181no—
393C4×D4—182no—
394#117—92no—
395#117D3211yescharacteristic, complemented
396C2×C4⋊C4—91no—
397C2×C4⋊C4—92no—
398#103—31no—
399#103—31no—
400#103—92no—
401#102—31no—
402#102—32no—
403#102—31no—
404#102—32no—
405#102—92no—
406#102—92no—
407#102—92no—
408C23×C3—21no—
409C23×C3—62no—
410C23×C3—61no—
411C23×C3—64no—
412C23×C3—241no—
413C23×C3—241no—
414C23×C3D3×D411yescharacteristic
415C23×C3D3×D411yescharacteristic
416C22×D3—21no—
417C22×D3—22no—
418C22×D3—24no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—62no—
422C22×D3—68no—
423C22×D3—68no—
424C22×D3—81no—
425C22×D3—81no—
426C22×D3—242no—
427C22×D3—242no—
428C22×D3—242no—
429C22×D3—242no—
430C3×Q8—32no—
431C3×Q8—61no—
432C3×D4—32no—
433C3×D4—34no—
434C3×D4—64no—
435C3×D4—64no—
436C3×D4—61no—
437C3×D4—62no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—61no—
449C2×C3×C4—64no—
450C2×C3×C4C2×C4×D312yes—
451C2×C3×C4C2×C4×D312yes—
452C2×C3×C4D3×D412yes—
453C2×C3×C4D3×D412yes—
454C2×C3×C4D3×D411yescharacteristic
455C2×C3×C4D3×D411yescharacteristic
456C2×C3×C4C23×D311yescharacteristic
457C2×C3×C4C23×D311yescharacteristic
458#67—24no—
459#67—38no—
460#67—38no—
461#67—68no—
462#67—68no—
463#67—68no—
464#67—68no—
465C2×Dic3—21no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—62no—
469C2×Dic3—68no—
470C2×Dic3—64no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—241no—
474C2×Dic3—241no—
475C2×Dic3—242no—
476D12—24no—
477D12—22no—
478D12—21no—
479D12—34no—
480D12—34no—
481D12—64no—
482D12—68no—
483D12C2×C4×D314yes—
484D12C2×C4×D312yes—
485C4×D3—24no—
486C4×D3—34no—
487C4×D3—34no—
488C4×D3—34no—
489C4×D3—34no—
490C4×D3—64no—
491C4×D3—64no—
492C4×D3—68no—
493C4×D3—242no—
494C4×D3—242no—
495C4×D3—244no—
496Dic6—21no—
497Dic6—34no—
498Dic6—34no—
499Dic6—64no—
500Dic6C2×C4×D312yes—
501C3×C8—61no—
502C3×C8—62no—
503C3×C8—61no—
504C3⋊C8—21no—
505C3⋊C8—22no—
506C3⋊C8—21no—
507C2×C32—22no—
508C2×C32C22×C22⋊C411yescharacteristic
509C2×C32#57611yescharacteristic
510C2×C32#57711yescharacteristic
511C3⋊D3—24no—
512C3×D3—42no—
513C3×D3—44no—
514C24—61no—
515C24—182no—
516#41—34no—
517#41—62no—
518#41—94no—
519#41—94no—
520#41—98no—
521#41—188no—
522#41—184no—
523C2×Q8—31no—
524C2×Q8—91no—
525C2×D4—32no—
526C2×D4—31no—
527C2×D4—34no—
528C2×D4—61no—
529C2×D4—62no—
530C2×D4—61no—
531C2×D4—98no—
532C2×D4—92no—
533C2×D4—91no—
534C2×D4—188no—
535C2×D4—182no—
536C2×D4—184no—
537C2×D4—182no—
538C2×D4—1816no—
539C22×C4—61no—
540C22×C4—92no—
541C22×C4—182no—
542C22×C4—182no—
543C22×C4—181no—
544C22×C4C2×D3211yescharacteristic
545M16—62no—
546M16—184no—
547C2×C8—32no—
548C2×C8—31no—
549C2×C8—31no—
550C2×C8—62no—
551C2×C8—184no—
552C4⋊C4—92no—
553C4⋊C4—182no—
554C4⋊C4—181no—
555C4⋊C4C2×D3211yescharacteristic
556C4⋊C4C2×D3211yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—182no—
559C42—21no—
560C42—182no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—22no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—64no—
570C22×C3—62no—
571C22×C3—122no—
572C22×C3—122no—
573C22×C3—121no—
574C22×C3—121no—
575C22×C3—244no—
576C22×C3D3×C22⋊C412yes—
577C22×C3D3×C22⋊C412yes—
578C22×C3C2×D3×D411yescharacteristic
579C22×C3C2×D3×D411yescharacteristic
580C2×D3—22no—
581C2×D3—24no—
582C2×D3—34no—
583C2×D3—34no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—64no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—62no—
592C2×D3—62no—
593C2×D3—84no—
594C2×D3—122no—
595C2×D3—122no—
596C2×D3—248no—
597C2×D3—248no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—22no—
601C3×C4—42no—
602C3×C4—42no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4—62no—
608C3×C4D3×C22⋊C412yes—
609C3×C4D3×C22⋊C412yes—
610C3×C4C22×C4×D311yescharacteristic
611C3×C4C22×C4×D311yescharacteristic
612C3×C4C2×D3×D411yescharacteristic
613C3×C4C2×D3×D411yescharacteristic
614Dic3—22no—
615Dic3—34no—
616Dic3—34no—
617Dic3—64no—
618Dic3—124no—
619Dic3—122no—
620Dic3—122no—
621C32#289711yescharacteristic, complemented, Sylow
622C23—61no—
623C23—62no—
624C23—64no—
625C23—92no—
626C23—188no—
627C23—241no—
628C23—241no—
629C23—722no—
630C23—722no—
631C23#381111yescharacteristic
632Q8—32no—
633Q8—61no—
634Q8—94no—
635D4—34no—
636D4—32no—
637D4—64no—
638D4—62no—
639D4—61no—
640D4—64no—
641D4—98no—
642D4—94no—
643D4—188no—
644D4—188no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—61no—
648C2×C4—64no—
649C2×C4—92no—
650C2×C4—94no—
651C2×C4—94no—
652C2×C4—188no—
653C2×C4—182no—
654C2×C4—722no—
655C2×C4—721no—
656C2×C4C4×D3212yes—
657C2×C4#380212yes—
658C2×C4#381111yescharacteristic
659C2×C4C22×D3211yescharacteristic
660C8—61no—
661C8—61no—
662C8—62no—
663C2×C3—22no—
664C2×C3—22no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—42no—
669C2×C3—122no—
670C2×C3—124no—
671C2×C3C2×D3×C22⋊C411yescharacteristic
672C2×C3C2×D3×C22⋊C411yescharacteristic
673C2×C3#576911yescharacteristic
674C2×C3#577011yescharacteristic
675C2×C3#577411yescharacteristic
676C2×C3#577511yescharacteristic
677D3—44no—
678D3—42no—
679D3—64no—
680D3—64no—
681D3—124no—
682C22—21no—
683C22—21no—
684C22—62no—
685C22—64no—
686C22—94no—
687C22—122no—
688C22—121no—
689C22—122no—
690C22—121no—
691C22—182no—
692C22—182no—
693C22—244no—
694C22—728no—
695C22#6392112yes—
696C22C2×#381111yescharacteristic
697C4—41no—
698C4—41no—
699C4—62no—
700C4—94no—
701C4—362no—
702C4#6392112yes—
703C4C2×C4×D3211yescharacteristic
704C4C2×#380211yescharacteristic
705C3—21no—
706C3#7883111yescharacteristic, complemented
707C3#7892511yescharacteristic, complemented
708C2—22no—
709C2—124no—
710C2—122no—
711C2—184no—
712C2C2×#6392111yescharacteristic
713C2#1059546111yescharacteristic
714C2#1059546211yescharacteristic
subgroupG/H
centerC22C2×#3811
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
prime radicalC2×#64307C2
cosocleC2×C32×C4C24
hypercenter#117D32
hypocenterC32#2897
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. #10595994C2semidirect
3. C2×#63817C2semidirect
4. C3×#5002C2semidirect
5. C3×#5001C2semidirect
6. #10591088C2semidirect
7. C2×#63563C2semidirect
8. #10590612C2semidirect
9. #10590611C2semidirect
10. #10590594C2semidirect
11. #10590593C2semidirect
19. #64307C4semidirect
24. C32×#117C22semidirect
25. C2×C4⋊(C3⋊Dic3)C22semidirect
26. #64101C22semidirect
27. C4⋊C4×C3⋊D3C22semidirect
31. C2×C3×#208C22semidirect
32. C22×C3×C3⋊C8C22semidirect
33. C2×#3712C22semidirect
35. C2×#3710C22semidirect
36. C3×#810C22semidirect
37. C3×#810C22semidirect
38. C3×#809C22semidirect
39. C3×#809C22semidirect
40. C3×#809C22semidirect
41. C3×#809C22semidirect
42. #63566C22semidirect
43. #63563C22semidirect
44. #63563C22semidirect
45. #63563C22semidirect
59. #5002D3semidirect
60. #5001D3semidirect
82. C3×#235C2×C4semidirect
85. C2×C3×D12C2×C4semidirect
95. #3802C2×C4semidirect
98. #3796C2×C4semidirect
141. C3×#117C2×D3semidirect
142. C3×#117C2×D3semidirect
146. C2×#208C2×D3semidirect
147. C22×C3⋊C8C2×D3semidirect
183. #810C2×D3semidirect
184. #810C2×D3semidirect
185. #809C2×D3semidirect
186. #809C2×D3semidirect
187. #809C2×D3semidirect
188. #809C2×D3semidirect
289. #235C4×D3semidirect
297. C2×D12C4×D3semidirect
395. #117D32semidirect
621. C32#2897semidirect
706. C3#78831semidirect
707. C3#78925semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
#105959942
C2×#638172
C3×#50022
C3×#50012
#105910882
C2×#635632
#105906122
#105906112
#105905942
#105905932
#789253
#788313