Finite Group Databasebeta

← #11858036

Subgroups — #11858036

Order 1152.

1637 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic
2C2×C3×#907C211yesmaximal, characteristic, complemented
3#10594992C211yesmaximal, characteristic, complemented
4#10592832C211yesmaximal, characteristic, complemented
5C3×#5131C211yesmaximal, characteristic, complemented
6#10591105C211yesmaximal, characteristic, complemented
7C2×#63563C211yesmaximal, characteristic, complemented
8#10590954C212yesmaximal, complemented
9#10590939C212yesmaximal, complemented
10D3×#821C212yesmaximal, complemented
11#10590670C212yesmaximal, complemented
12#83797—31nomaximal
13#78925—31nomaximal
14C2×#3828C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C2×D3×#67—22no—
18#64307—24no—
19#64307C418yescomplemented
20C2×#3802—21no—
21C2×D3×D12C2212yes—
22C2×#3796—21no—
23C2×#3795C2212yes—
24C2×C32×M16C2211yescharacteristic, complemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
26C3×#926C2211yescharacteristic, complemented
27C22×C3×C3⋊C8C2211yescharacteristic, complemented
28C3×#907—24no—
29C2×C3×ΓL(1,𝔽25)C2212yescomplemented
30C2×C3×D3×C8C2212yescomplemented
31#67⋊Dic3—22no—
32Dic3×D12—21no—
33D3×C4⋊Dic3C2212yescomplemented
34Dic3×Dic6—21no—
35#63841C2212yescomplemented
36#63648C2212yescomplemented
37#63643C2212yescomplemented
38C3×#821C2212yescomplemented
39C3×#821C2212yescomplemented
40#63567C2211yescharacteristic, complemented
41#63567C2211yescharacteristic, complemented
42#63564C2211yescharacteristic, complemented
43#63564C2211yescharacteristic, complemented
44#63563C2212yescomplemented
45#63563C2212yescomplemented
46C2×#1009—31no—
47C2×#1004—31no—
48C2×C3×#131—31no—
49#5827—31no—
50C2×#907D311yescharacteristic, complemented
51#5523—31no—
52C3×#418—31no—
53C2×#832—31no—
54#5133—31no—
55#5133—31no—
56#5133—32no—
57#5133—61no—
58#5131—32no—
59#5131D311yescharacteristic, complemented
60#5113—31no—
61#5113—32no—
62C2×#821—31no—
63C2×#821—32no—
64#5002—31no—
65#4772—32no—
66#4771—32no—
67#4770—32no—
68D3×#102—32no—
69C23×C3×D3—21no—
70C22×D32—22no—
71C22×C32×C4C2311yescharacteristic
72C2×#638—21no—
73C22×C3⋊Dic3—21no—
74#3828—22no—
75#3828C2×C414yescomplemented
76C2×C4⋊(C3⋊D3)C2311yescharacteristic
77C2×C4×C3⋊D3—21no—
78C2×#634C2311yescharacteristic
79C2×C3×#67D412yes—
80C3×#235C2×C414yes—
81C3×#235D414yes—
82C2×C3×D12—21no—
83C2×C3×D12—22no—
84C2×C3×D12C2×C414yescomplemented
85C2×C3×D12D411yescharacteristic
86C2×C3×D12C2312yes—
87C2×C3×C4×D3C2312yes—
88C2×C3×Dic6D411yescharacteristic
89D3×#67—216no—
90C2×#626—22no—
91C2×#625—22no—
92C2×D3×Dic3—22no—
93C2×D3×Dic3—22no—
94#3802—28no—
95D3×D12—24no—
96D3×D12C2×C418yescomplemented
97#3796—28no—
98#3795—24no—
99#3795C2×C418yescomplemented
100C32×M16—22no—
101C2×C32×C8C2312yes—
102C4⋊(C3⋊Dic3)—21no—
103C4⋊(C3⋊Dic3)C2312yes—
104C3×#217—21no—
105C3×C4⋊Dic3C2311yescharacteristic
106C3×C4⋊Dic3C2311yescharacteristic
107C3×C4×Dic3—21no—
108C2×C3×C3⋊C8—22no—
109C2×C3×C3⋊C8C2311yescharacteristic
110C2×C3×C3⋊C8C2311yescharacteristic
111C3×ΓL(1,𝔽25)—24no—
112C3×D3×C8—24no—
113Dic3⋊Dic3—22no—
114(C2×D3)⋊Dic3—22no—
115Dic32—22no—
116#2897—91noSylow
117C2×C3×#41—31no—
118C22×C3×D4—31no—
119C22×#67—62no—
120#1009—38no—
121#1009—64no—
122C2×#239—61no—
123#1004—38no—
124#1004—64no—
125C2×#237—32no—
126C2×#237—61no—
127C2×D3×D4—32no—
128C2×D3×D4—61no—
129C2×D3×D4—62no—
130C2×D3×D4—61no—
131C2×#235—31no—
132C2×#235—31no—
133C2×#235—32no—
134C2×#235—61no—
135C2×#235C2×D311yescharacteristic
136C22×D12—32no—
137C22×D12C2×D311yescharacteristic
138C3×#131—64no—
139C2×C3×M16—21no—
140C2×C3×M16—32no—
141C2×C3×M16C2×D311yescharacteristic, complemented
142C2×C3×M16C2×D311yescharacteristic, complemented
143C22×C3×C8—31no—
144C22×C3×C8—32no—
145C3×#117—31no—
146Q8×Dic3—61no—
147D4×Dic3—61no—
148D4×Dic3—62no—
149#926—32no—
150#926C2×D311yescharacteristic, complemented
151C2×C4⋊Dic3—31no—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—32no—
154C2×C4⋊Dic3—61no—
155C22×C3⋊C8C2×D311yescharacteristic, complemented
156#907—24no—
157C2×ΓL(1,𝔽25)C2×D312yescomplemented
158C2×D3×C8C2×D312yescomplemented
159#892—32no—
160D3×C4⋊C4—32no—
161#67⋊C4—62no—
162C4×D12—61no—
163C4×Dic6—61no—
164C3×#102—32no—
165C3×#102—32no—
166#832—32no—
167#832—32no—
168#821—32no—
169#821—32no—
170#821—32no—
171#821—32no—
172#821—31no—
173#821—31no—
174#821—62no—
175#821C2×D312yescomplemented
176#821C2×D312yescomplemented
177#816—32no—
178#816—32no—
179#816—31no—
180#816—31no—
181#816—62no—
182#810—31no—
183#810—31no—
184#809—31no—
185#809—31no—
186C23×C32C2×D411yescharacteristic
187C22×C3⋊D3—21no—
188C22×C3×D3—22no—
189C22×C3×D3—24no—
190C22×C3×D3—81no—
191C22×C3×D3—81no—
192C22×C3×D3C2×D412yes—
193C2×D32—28no—
194C2×D32—82no—
195C2×D32—82no—
196C2×C32×C4C22×C412yes—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D412yes—
199C2×C32×C4C2411yescharacteristic
200#638—24no—
201C2×C3⋊Dic3—21no—
202C2×C3⋊Dic3—22no—
203C2×C3⋊Dic3—81no—
204C4⋊(C3⋊D3)—21no—
205C4⋊(C3⋊D3)C22×C412yes—
206C4×C3⋊D3—24no—
207#634—21no—
208#634C22×C412yes—
209C3×#67C22⋊C418yes—
210C2×C3×Dic3—21no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3C2×D412yes—
213C3×D12—24no—
214C3×D12—22no—
215C3×D12C22⋊C414yes—
216C3×D12C22×C414yes—
217C3×C4×D3C22×C414yes—
218C3×C4×D3C2×D414yes—
219C3×Dic6C22⋊C414yes—
220#626—28no—
221#625—28no—
222D3×Dic3—28no—
223D3×Dic3—82no—
224C32×C8—22no—
225C3×C3⋊C8—21no—
226C3×C3⋊C8—21no—
227C2×H(5,𝔽2)—91no—
228C2×#131—31no—
229#520—91no—
230#418—31no—
231#418—92no—
232#417—92no—
233#417—91no—
234#416—92no—
235#416—91no—
236C2×#102—92no—
237C2×#102—91no—
238C24×C3—61no—
239C23×D3—21no—
240C23×D3—62no—
241C23×D3—62no—
242C3×#41—34no—
243C3×#41—34no—
244C2×C3×Q8—31no—
245C2×C3×D4—32no—
246C2×C3×D4—34no—
247C2×C3×D4—31no—
248C2×C3×D4—32no—
249C2×C3×D4—61no—
250C2×C3×D4—62no—
251C22×C3×C4—21no—
252C22×C3×C4—32no—
253C22×C3×C4C22×D311yescharacteristic
254C22×C3×C4C22×D311yescharacteristic
255C2×#67—62no—
256C2×#67—61no—
257C2×#67—61no—
258C2×#67—62no—
259C2×#67—616no—
260C2×#67—62no—
261C2×#67—121no—
262C2×#67D1212yes—
263C22×Dic3—62no—
264C22×Dic3—62no—
265C22×Dic3—61no—
266C22×Dic3—61no—
267C22×Dic3—121no—
268#239—68no—
269#237—38no—
270#237—64no—
271#237—68no—
272D3×D4—38no—
273D3×D4—68no—
274D3×D4—616no—
275D3×D4—68no—
276D3×D4—64no—
277#235—34no—
278#235—34no—
279#235—38no—
280#235—64no—
281#235—64no—
282#235—62no—
283#235—62no—
284#235—122no—
285#235C4×D314yes—
286#235#6714yes—
287C2×D12—21no—
288C2×D12—22no—
289C2×D12—31no—
290C2×D12—31no—
291C2×D12—38no—
292C2×D12—61no—
293C2×D12—64no—
294C2×D12—62no—
295C2×D12C4×D314yescomplemented
296C2×D12D1211yescharacteristic
297C2×D12C22×D312yes—
298C2×C4×D3—62no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—62no—
302C2×C4×D3—121no—
303C2×C4×D3C22×D312yes—
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6—61no—
307C2×Dic6D1211yescharacteristic
308C3×M16—22no—
309C3×M16—22no—
310C3×M16—42no—
311C3×M16—64no—
312C2×C3×C8—22no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C2×C3×C8—64no—
316C2×C3×C8—62no—
317C2×C3×C8C22×D312yes—
318C2×C3×C8C22×D312yes—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C22⋊C4—61no—
322C3×C42—61no—
323#217—21no—
324#217—62no—
325(C2×D3)⋊C4—62no—
326C4⋊Dic3—32no—
327C4⋊Dic3—32no—
328C4⋊Dic3—62no—
329C4⋊Dic3—62no—
330C4⋊Dic3—61no—
331C4⋊Dic3—61no—
332C4⋊Dic3—121no—
333C4⋊Dic3C22×D311yescharacteristic
334C4⋊Dic3C22×D311yescharacteristic
335Dic3⋊C4—62no—
336C4×Dic3—21no—
337C4×Dic3—62no—
338C4×Dic3—62no—
339C2×C3⋊C8—22no—
340C2×C3⋊C8C22×D311yescharacteristic
341C2×C3⋊C8C22×D311yescharacteristic
342ΓL(1,𝔽25)—24no—
343D3×C8—24no—
344C22×C32—21no—
345C22×C32—21no—
346C22×C32C2×C22⋊C412yes—
347C22×C32C22×D411yescharacteristic
348C2×C3⋊D3—22no—
349C2×C3⋊D3—41no—
350C2×C3⋊D3—41no—
351C2×C3×D3—22no—
352C2×C3×D3—22no—
353C2×C3×D3—24no—
354C2×C3×D3—42no—
355C2×C3×D3—42no—
356C2×C3×D3—84no—
357C2×C3×D3C2×C22⋊C414yes—
358D32—88no—
359C32×C4C2×C22⋊C412yes—
360C32×C4C23×C411yescharacteristic
361C32×C4C22×D411yescharacteristic
362C3⋊Dic3—22no—
363C3⋊Dic3—42no—
364C3×Dic3—41no—
365C3×Dic3—41no—
366C3×Dic3C2×C22⋊C414yes—
367H(5,𝔽2)—98no—
368H(5,𝔽2)—184no—
369C2×#41—31no—
370C2×#41—92no—
371C2×#41—91no—
372C2×#41—181no—
373C22×D4—31no—
374C22×D4—92no—
375C22×D4—181no—
376C22×D4—182no—
377#131—64no—
378C2×M16—32no—
379C2×M16D3211yescharacteristic, complemented
380C22×C8—31no—
381C22×C8—32no—
382C4×Q8—181no—
383C4×D4—181no—
384C4×D4—182no—
385#117—31no—
386#117—92no—
387C2×C4⋊C4—92no—
388C2×C4⋊C4—91no—
389#103—91no—
390#103—91no—
391#103—92no—
392#102—32no—
393#102—32no—
394#102—91no—
395#102—91no—
396#102—92no—
397#102—92no—
398#102—92no—
399C23×C3—21no—
400C23×C3—32no—
401C23×C3—62no—
402C23×C3—64no—
403C23×C3—241no—
404C23×C3—241no—
405C23×C3C2×D1211yescharacteristic
406C23×C3D3×D411yescharacteristic
407C22×D3—22no—
408C22×D3—24no—
409C22×D3—68no—
410C22×D3—61no—
411C22×D3—61no—
412C22×D3—68no—
413C22×D3—81no—
414C22×D3—81no—
415C22×D3—121no—
416C22×D3—242no—
417C22×D3—242no—
418C22×D3—242no—
419C22×D3—242no—
420C22×D3C2×D1212yes—
421C3×Q8—34no—
422C3×D4—38no—
423C3×D4—34no—
424C3×D4—34no—
425C3×D4—64no—
426C3×D4—62no—
427C2×C3×C4—21no—
428C2×C3×C4—22no—
429C2×C3×C4—21no—
430C2×C3×C4—22no—
431C2×C3×C4—32no—
432C2×C3×C4—34no—
433C2×C3×C4—34no—
434C2×C3×C4—61no—
435C2×C3×C4—61no—
436C2×C3×C4C2×C4×D312yes—
437C2×C3×C4C2×C4×D312yes—
438C2×C3×C4C2×D1211yescharacteristic
439C2×C3×C4D3×D411yescharacteristic
440C2×C3×C4D3×D412yes—
441C2×C3×C4C2×#6712yes—
442C2×C3×C4C23×D311yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444#67—68no—
445#67—64no—
446#67—64no—
447#67—68no—
448#67—68no—
449#67—124no—
450#67(C2×D3)⋊C418yes—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455C2×Dic3—68no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—121no—
459C2×Dic3—122no—
460C2×Dic3—242no—
461C2×Dic3—241no—
462C2×Dic3—241no—
463C2×Dic3—242no—
464C2×Dic3C2×D1212yes—
465D12—24no—
466D12—22no—
467D12—32no—
468D12—32no—
469D12—62no—
470D12—68no—
471D12—61no—
472D12—61no—
473D12—121no—
474D12(C2×D3)⋊C414yes—
475D12C2×C4×D314yes—
476C4×D3—68no—
477C4×D3—64no—
478C4×D3—64no—
479C4×D3—124no—
480C4×D3—242no—
481C4×D3C2×C4×D314yes—
482C4×D3C2×#6714yes—
483Dic6—32no—
484Dic6—32no—
485Dic6—62no—
486Dic6—61no—
487Dic6—61no—
488Dic6—121no—
489Dic6(C2×D3)⋊C414yes—
490C3×C8—22no—
491C3×C8—22no—
492C3×C8—42no—
493C3×C8—61no—
494C3×C8—61no—
495C3⋊C8—21no—
496C3⋊C8—21no—
497C2×C32—22no—
498C2×C32C22×C22⋊C411yescharacteristic
499C2×C32#57611yescharacteristic
500C2×C32#57711yescharacteristic
501C3⋊D3—42no—
502C3×D3—24no—
503C3×D3—44no—
504C24—61no—
505C24—182no—
506#41—34no—
507#41—34no—
508#41—98no—
509#41—94no—
510#41—184no—
511#41—188no—
512#41—182no—
513C2×Q8—31no—
514C2×Q8—91no—
515C2×D4—32no—
516C2×D4—32no—
517C2×D4—34no—
518C2×D4—31no—
519C2×D4—61no—
520C2×D4—62no—
521C2×D4—98no—
522C2×D4—91no—
523C2×D4—184no—
524C2×D4—182no—
525C2×D4—188no—
526C2×D4—1816no—
527C2×D4—182no—
528C2×D4—181no—
529C22×C4—32no—
530C22×C4—182no—
531C22×C4—182no—
532C22×C4—181no—
533C22×C4—181no—
534C22×C4C2×D3211yescharacteristic
535M16—22no—
536M16—64no—
537C2×C8—31no—
538C2×C8—31no—
539C2×C8—64no—
540C2×C8—62no—
541C2×C8C2×D3212yes—
542C4⋊C4—31no—
543C4⋊C4—31no—
544C4⋊C4—92no—
545C4⋊C4—182no—
546C4⋊C4—181no—
547C22⋊C4—61no—
548C22⋊C4—182no—
549C42—61no—
550C42—182no—
551C22×C3—21no—
552C22×C3—21no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—22no—
557C22×C3—34no—
558C22×C3—41no—
559C22×C3—41no—
560C22×C3—62no—
561C22×C3—62no—
562C22×C3—64no—
563C22×C3—122no—
564C22×C3—122no—
565C22×C3—244no—
566C22×C3D3×C22⋊C412yes—
567C22×C3C2×(C2×D3)⋊C412yes—
568C22×C3C22×D1211yescharacteristic
569C22×C3C2×D3×D411yescharacteristic
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—24no—
573C2×D3—42no—
574C2×D3—42no—
575C2×D3—62no—
576C2×D3—62no—
577C2×D3—84no—
578C2×D3—122no—
579C2×D3—121no—
580C2×D3—121no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—241no—
584C2×D3—241no—
585C2×D3—248no—
586C2×D3—248no—
587C2×D3C2×(C2×D3)⋊C414yes—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—22no—
591C3×C4—34no—
592C3×C4—121no—
593C3×C4—121no—
594C3×C4D3×C22⋊C412yes—
595C3×C4C2×(C2×D3)⋊C412yes—
596C3×C4C22×C4×D311yescharacteristic
597C3×C4C22×C4×D311yescharacteristic
598C3×C4C2×D3×D411yescharacteristic
599C3×C4C22×#6711yescharacteristic
600Dic3—41no—
601Dic3—41no—
602Dic3—62no—
603Dic3—62no—
604Dic3—122no—
605Dic3—122no—
606Dic3—122no—
607Dic3—242no—
608Dic3C2×(C2×D3)⋊C414yes—
609C32#289711yescharacteristic, complemented, Sylow
610C23—32no—
611C23—62no—
612C23—64no—
613C23—188no—
614C23—181no—
615C23—241no—
616C23—241no—
617C23—722no—
618C23—722no—
619C23D3×D1211yescharacteristic
620Q8—34no—
621Q8—92no—
622Q8—181no—
623D4—38no—
624D4—34no—
625D4—34no—
626D4—62no—
627D4—64no—
628D4—92no—
629D4—188no—
630D4—188no—
631D4—184no—
632D4—181no—
633C2×C4—32no—
634C2×C4—34no—
635C2×C4—34no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—188no—
639C2×C4—181no—
640C2×C4—184no—
641C2×C4—182no—
642C2×C4—722no—
643C2×C4—721no—
644C2×C4C4×D3212yes—
645C2×C4D3×D1211yescharacteristic
646C2×C4D3×#6712yes—
647C2×C4C22×D3211yescharacteristic
648C8—22no—
649C8—61no—
650C8—61no—
651C2×C3—22no—
652C2×C3—22no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—42no—
657C2×C3—64no—
658C2×C3—124no—
659C2×C3C2×D3×C22⋊C411yescharacteristic
660C2×C3#575111yescharacteristic
661C2×C3#575211yescharacteristic
662C2×C3#577411yescharacteristic
663C2×C3#577511yescharacteristic
664C2×C3C22×(C2×D3)⋊C411yescharacteristic
665D3—24no—
666D3—44no—
667D3—122no—
668D3—122no—
669D3—242no—
670C22—21no—
671C22—21no—
672C22—34no—
673C22—62no—
674C22—62no—
675C22—64no—
676C22—122no—
677C22—122no—
678C22—182no—
679C22—244no—
680C22—361no—
681C22—361no—
682C22—728no—
683C22D3×(C2×D3)⋊C412yes—
684C22C2×D3×D1211yescharacteristic
685C4—34no—
686C4—121no—
687C4—121no—
688C4—182no—
689C4—362no—
690C4D3×(C2×D3)⋊C412yes—
691C4C2×C4×D3211yescharacteristic
692C4C2×D3×#6711yescharacteristic
693C3—21no—
694C3#7892511yescharacteristic, complemented
695C3#8379711yescharacteristic, complemented
696C2—22no—
697C2—64no—
698C2—124no—
699C2—362no—
700C2#1059471311yescharacteristic
701C2#1059471411yescharacteristic
702C2C2×D3×(C2×D3)⋊C411yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×M16C22
socleC22×C32C22×D4
prime radicalC2×#64307C2
cosocleC2×C32×C4C24
hypercenterC2×M16D32
hypocenterC32#2897
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
2. C2×C3×#907C2semidirect
3. #10594992C2semidirect
4. #10592832C2semidirect
5. C3×#5131C2semidirect
6. #10591105C2semidirect
7. C2×#63563C2semidirect
8. #10590954C2semidirect
9. #10590939C2semidirect
10. D3×#821C2semidirect
11. #10590670C2semidirect
19. #64307C4semidirect
24. C2×C32×M16C22semidirect
25. C2×C4⋊(C3⋊Dic3)C22semidirect
26. C3×#926C22semidirect
27. C22×C3×C3⋊C8C22semidirect
29. C2×C3×ΓL(1,𝔽25)C22semidirect
30. C2×C3×D3×C8C22semidirect
33. D3×C4⋊Dic3C22semidirect
35. #63841C22semidirect
36. #63648C22semidirect
37. #63643C22semidirect
38. C3×#821C22semidirect
39. C3×#821C22semidirect
40. #63567C22semidirect
41. #63567C22semidirect
42. #63564C22semidirect
43. #63564C22semidirect
44. #63563C22semidirect
45. #63563C22semidirect
50. C2×#907D3semidirect
59. #5131D3semidirect
75. #3828C2×C4semidirect
84. C2×C3×D12C2×C4semidirect
96. D3×D12C2×C4semidirect
99. #3795C2×C4semidirect
141. C2×C3×M16C2×D3semidirect
142. C2×C3×M16C2×D3semidirect
150. #926C2×D3semidirect
155. C22×C3⋊C8C2×D3semidirect
157. C2×ΓL(1,𝔽25)C2×D3semidirect
158. C2×D3×C8C2×D3semidirect
175. #821C2×D3semidirect
176. #821C2×D3semidirect
295. C2×D12C4×D3semidirect
379. C2×M16D32semidirect
609. C32#2897semidirect
694. C3#78925semidirect
695. C3#83797semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C2×C3×#9072
#105949922
#105928322
C3×#51312
#105911052
C2×#635632
#105909542
#105909392
D3×#8212
#105906702
#837973
#789253