Finite Group Databasebeta

← #11864607

Subgroups — #11864607

Order 1152.

1675 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic, complemented
2#10596304C211yesmaximal, characteristic, complemented
3C2×C3×#950C211yesmaximal, characteristic, complemented
4C2×C3×#949C211yesmaximal, characteristic, complemented
5#10591656C212yesmaximal, complemented
6#10591652C212yesmaximal, complemented
7#10591520C212yesmaximal, complemented
8#10591516C212yesmaximal, complemented
9#10591088C211yesmaximal, characteristic, complemented
10C2×#63563C211yesmaximal, characteristic, complemented
11#10591073C211yesmaximal, characteristic, complemented
12#83949—31nomaximal
13#83912—31nomaximal
14C2×C32×#41C2211yescharacteristic, complemented
15C2×#3828C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C2×D3×#67—22no—
19#64307—24no—
20#64307—24no—
21C2×#3802C2212yes—
22C2×D3×D12—21no—
23C2×#3796C2212yes—
24C2×#3795—21no—
25#64155C2212yescomplemented
26#64148—22no—
27#64147C2212yescomplemented
28#64139—21no—
29C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
30#64133—21no—
31C3×#950—24no—
32C3×#949—24no—
33C2×C3×#216C2211yescharacteristic, complemented
34C2×C3×#215C2212yescomplemented
35C2×C3×#215C2211yescharacteristic, complemented
36C2×C3×#214C2211yescharacteristic, complemented
37C2×C3×#213C2211yescharacteristic, complemented
38C2×C3×#213C2212yescomplemented
39C2×C3×#208C2211yescharacteristic, complemented
40C22×C3×C3⋊C8C2211yescharacteristic, complemented
41#63566C2212yescomplemented
42#63563C2212yescomplemented
43#63563C2212yescomplemented
44#63563C2212yescomplemented
45#63557C2212yescomplemented
46#63557C2212yescomplemented
47C2×#1009—31no—
48C2×#1004—31no—
49C2×C3×AGL(1,ℤ/8)—31no—
50C2×C3×#135—31no—
51#5833—31no—
52#5833—31no—
53#5833—61no—
54C2×#950D311yescharacteristic, complemented
55C2×#949D311yescharacteristic, complemented
56#5232—31no—
57C2×#832—31no—
58#5187—32no—
59#5173—32no—
60#5172—32no—
61#5169—32no—
62#5169—32no—
63#5158—32no—
64#5156—32no—
65#5156—32no—
66#5133—31no—
67#5129—31no—
68C2×#821—31no—
69#5110—31no—
70C23×C3×D3—21no—
71C22×D32—22no—
72C32×#41—22no—
73C32×#41—22no—
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4—21no—
76C2×C32×D4C2311yescharacteristic
77C22×C32×C4—21no—
78C22×C32×C4C2311yescharacteristic
79C2×#638—22no—
80C2×#638D412yes—
81C22×C3⋊Dic3—21no—
82#3828—22no—
83#3828—22no—
84C2×C4⋊(C3⋊D3)D411yescharacteristic
85C2×C4×C3⋊D3C2312yes—
86C2×#634D411yescharacteristic
87C2×C3×#67—21no—
88C3×#235—22no—
89C3×#235D414yescomplemented
90C2×C3×D12—21no—
91C2×C3×D12—22no—
92C2×C3×D12D414yescomplemented
93C2×C3×D12C2312yes—
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3—21no—
96C2×C3×Dic6C2311yescharacteristic
97D3×#67—216no—
98C2×#626—22no—
99C2×#625—22no—
100C2×D3×Dic3—22no—
101#3802—24no—
102#3802—24no—
103D3×D12—28no—
104#3796—24no—
105#3796—24no—
106#3795—28no—
107#3757—22no—
108#3752—22no—
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2312yes—
111#3750—22no—
112C3×#216—22no—
113C3×#215—24no—
114C3×#215—22no—
115C3×#214—22no—
116C3×#213—24no—
117C3×#213—22no—
118C3×#208—22no—
119C2×C3×C3⋊C8—22no—
120C2×C3×C3⋊C8C2311yescharacteristic
121C2×C3×C3⋊C8C2311yescharacteristic
122C2×C3×C3⋊C8C2312yes—
123#3012—91noSylow
124C2×C3×#41—21no—
125C2×C3×#41—31no—
126C2×C3×#41C2×D311yescharacteristic, complemented
127C2×C3×#41C2×D311yescharacteristic, complemented
128C22×C3×D4—31no—
129C22×#67—62no—
130#1009—64no—
131#1009—64no—
132C2×#239—32no—
133#1004—64no—
134#1004—64no—
135C2×#237—32no—
136C2×#237—61no—
137C2×D3×D4—32no—
138C2×D3×D4—32no—
139C2×D3×D4—61no—
140C2×D3×D4—62no—
141C2×#235—31no—
142C2×#235—31no—
143C2×#235—61no—
144C2×#235—61no—
145C2×#235C2×D311yescharacteristic
146C22×D12—61no—
147C22×D12C2×D311yescharacteristic
148C3×AGL(1,ℤ/8)—64no—
149C3×#135—64no—
150C2×C3×Q16—31no—
151C2×C3×SD16—31no—
152C2×C3×SD16—32no—
153C2×C3×SD16—31no—
154C2×C3×D8—31no—
155C2×C3×D8—32no—
156C2×C3×M16—31no—
157C22×C3×C8—31no—
158#950—24no—
159#949—24no—
160#946—32no—
161#946—32no—
162#946—62no—
163C2×#216C2×D311yescharacteristic, complemented
164C2×#215C2×D311yescharacteristic, complemented
165C2×#215C2×D312yescomplemented
166#939—62no—
167#939—62no—
168#939—64no—
169#938—32no—
170#938—32no—
171#938—62no—
172C2×#214C2×D311yescharacteristic, complemented
173C2×#213C2×D311yescharacteristic, complemented
174C2×#213C2×D312yescomplemented
175#930—61no—
176#930—61no—
177#930—62no—
178C2×C4⋊Dic3—31no—
179C2×C4⋊Dic3—31no—
180C2×C4⋊Dic3—61no—
181#924—61no—
182#924—61no—
183#924—62no—
184C2×#208C2×D311yescharacteristic, complemented
185C22×C3⋊C8C2×D311yescharacteristic, complemented
186#835—32no—
187#832—32no—
188#832—32no—
189#832—32no—
190#821—32no—
191#821—32no—
192#821—32no—
193(C2×D3)⋊C8—32no—
194(C2×D3)⋊C8—32no—
195(C2×D3)⋊C8—32no—
196(C2×D3)⋊C8—32no—
197#816—32no—
198C23×C32—21no—
199C23×C32C2×D411yescharacteristic
200C22×C3⋊D3C2×D412yes—
201C22×C3×D3—21no—
202C22×C3×D3—22no—
203C22×C3×D3—24no—
204C22×C3×D3—81no—
205C22×C3×D3—81no—
206C2×D32—28no—
207C2×D32—82no—
208C2×D32—82no—
209C32×Q8—21no—
210C32×Q8—21no—
211C32×D4—21no—
212C32×D4—21no—
213C32×D4—42no—
214C2×C32×C4—21no—
215C2×C32×C4—42no—
216C2×C32×C4C2×D411yescharacteristic
217C2×C32×C4C2×D412yes—
218C2×C32×C4C2×D412yes—
219C2×C32×C4C2411yescharacteristic
220#638—24no—
221#638—82no—
222C2×C3⋊Dic3—22no—
223C2×C3⋊Dic3—81no—
224C2×C3⋊Dic3C2×D412yes—
225C4⋊(C3⋊D3)—22no—
226C4×C3⋊D3—22no—
227C4×C3⋊D3—22no—
228#634—22no—
229C3×#67—24no—
230C2×C3×Dic3—21no—
231C3×D12—24no—
232C3×D12—22no—
233C3×D12—21no—
234C3×D12C2×D414yes—
235C3×D12C2×D412yes—
236C3×C4×D3—24no—
237C3×Dic6—21no—
238C3×Dic6C2×D412yes—
239#626—28no—
240#625—28no—
241D3×Dic3—28no—
242C3×C3⋊C8—21no—
243C3×C3⋊C8—21no—
244C3×C3⋊C8—22no—
245C2×H(5,𝔽2)—91no—
246C2×AGL(1,ℤ/8)—31no—
247C2×#135—31no—
248#537—91no—
249#452—92no—
250#450—92no—
251#449—92no—
252#447—92no—
253#417—91no—
254C2×#102—91no—
255#408—91no—
256C24×C3—61no—
257C23×D3—21no—
258C23×D3—62no—
259C23×D3—62no—
260C3×#41—22no—
261C3×#41—22no—
262C3×#41—22no—
263C3×#41—22no—
264C3×#41—34no—
265C3×#41—42no—
266C3×#41—42no—
267C3×#41—62no—
268C2×C3×Q8—21no—
269C2×C3×Q8—31no—
270C2×C3×Q8C22×D311yescharacteristic
271C2×C3×Q8C22×D311yescharacteristic
272C2×C3×D4—22no—
273C2×C3×D4—21no—
274C2×C3×D4—21no—
275C2×C3×D4—21no—
276C2×C3×D4—34no—
277C2×C3×D4—31no—
278C2×C3×D4—32no—
279C2×C3×D4—61no—
280C2×C3×D4—61no—
281C2×C3×D4—62no—
282C2×C3×D4C22×D311yescharacteristic
283C2×C3×D4C22×D311yescharacteristic
284C22×C3×C4—22no—
285C22×C3×C4—21no—
286C22×C3×C4—21no—
287C22×C3×C4—21no—
288C22×C3×C4—61no—
289C22×C3×C4C22×D311yescharacteristic
290C22×C3×C4C22×D311yescharacteristic
291C2×#67—21no—
292C2×#67—32no—
293C2×#67—32no—
294C2×#67—62no—
295C2×#67—62no—
296C2×#67—62no—
297C2×#67—62no—
298C2×#67—616no—
299C2×#67—62no—
300C2×#67—62no—
301C2×#67—64no—
302C22×Dic3—62no—
303C22×Dic3—62no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306#239—64no—
307#239—64no—
308#237—64no—
309#237—68no—
310#237—64no—
311D3×D4—68no—
312D3×D4—64no—
313D3×D4—64no—
314D3×D4—616no—
315D3×D4—64no—
316D3×D4—64no—
317#235—22no—
318#235—68no—
319#235—62no—
320#235—62no—
321#235—62no—
322#235—62no—
323#235—122no—
324#235—122no—
325#235#6714yescomplemented
326C2×D12—21no—
327C2×D12—22no—
328C2×D12—31no—
329C2×D12—31no—
330C2×D12—61no—
331C2×D12—68no—
332C2×D12—62no—
333C2×D12#6714yescomplemented
334C2×D12C22×D312yes—
335C2×D12C22×D311yescharacteristic
336C2×C4×D3—21no—
337C2×C4×D3—32no—
338C2×C4×D3—32no—
339C2×C4×D3—62no—
340C2×C4×D3—62no—
341C2×Dic6—31no—
342C2×Dic6—31no—
343C2×Dic6—61no—
344C2×Dic6C22×D311yescharacteristic
345C3×Q16—62no—
346C3×SD16—62no—
347C3×SD16—62no—
348C3×SD16—64no—
349C3×D8—62no—
350C3×D8—64no—
351C3×M16—62no—
352C2×C3×C8—32no—
353C2×C3×C8—31no—
354C2×C3×C8—31no—
355C2×C3×C8—62no—
356#217—62no—
357#217—62no—
358#217—64no—
359#216—22no—
360#215—24no—
361#215—22no—
362#214—22no—
363#213—24no—
364#213—22no—
365(C2×D3)⋊C4—62no—
366(C2×D3)⋊C4—62no—
367(C2×D3)⋊C4—64no—
368C4⋊Dic3—32no—
369C4⋊Dic3—32no—
370C4⋊Dic3—62no—
371C4⋊Dic3—62no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374Dic3⋊C4—62no—
375Dic3⋊C4—62no—
376Dic3⋊C4—64no—
377#208—22no—
378C2×C3⋊C8—22no—
379C2×C3⋊C8C22×D311yescharacteristic
380C2×C3⋊C8C22×D311yescharacteristic
381C2×C3⋊C8C22×D312yes—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—41no—
385C22×C32—41no—
386C22×C32—41no—
387C22×C32#12012yes—
388C22×C32C22×D411yescharacteristic
389C2×C3⋊D3—22no—
390C2×C3⋊D3—22no—
391C2×C3⋊D3—22no—
392C2×C3×D3—24no—
393C2×C3×D3—22no—
394C2×C3×D3—41no—
395C2×C3×D3—42no—
396C2×C3×D3—41no—
397C2×C3×D3—42no—
398C2×C3×D3—84no—
399D32—88no—
400C32×C4—41no—
401C32×C4#12012yes—
402C32×C4C22×D411yescharacteristic
403C32×C4C22×D411yescharacteristic
404C3⋊Dic3—22no—
405C3⋊Dic3—42no—
406C3×Dic3—22no—
407H(5,𝔽2)—184no—
408H(5,𝔽2)—184no—
409C2×#41—31no—
410C2×#41—91no—
411C2×#41—92no—
412C2×#41—181no—
413C2×#41D3211yescharacteristic, complemented
414C22×D4—31no—
415C22×D4—92no—
416C22×D4—181no—
417C22×D4—182no—
418AGL(1,ℤ/8)—64no—
419#135—64no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—32no—
423C2×SD16—31no—
424C2×D8—31no—
425C2×D8—32no—
426C2×M16—31no—
427C22×C8—31no—
428C22⋊Q8—92no—
429C22⋊Q8—181no—
430#121—92no—
431#121—181no—
432#121—182no—
433C2×C4⋊C4—91no—
434#103—92no—
435#102—92no—
436#102—92no—
437#102—92no—
438C22⋊C8—92no—
439C22⋊C8—92no—
440C23×C3—22no—
441C23×C3—21no—
442C23×C3—21no—
443C23×C3—21no—
444C23×C3—62no—
445C23×C3—61no—
446C23×C3—64no—
447C23×C3—241no—
448C23×C3—241no—
449C23×C3D3×D411yescharacteristic
450C23×C3D3×D411yescharacteristic
451C22×D3—21no—
452C22×D3—22no—
453C22×D3—24no—
454C22×D3—32no—
455C22×D3—32no—
456C22×D3—62no—
457C22×D3—68no—
458C22×D3—68no—
459C22×D3—81no—
460C22×D3—81no—
461C22×D3—242no—
462C22×D3—242no—
463C22×D3—242no—
464C22×D3—242no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—32no—
470C3×Q8—41no—
471C3×Q8—41no—
472C3×Q8—61no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—32no—
478C3×D4—34no—
479C3×D4—41no—
480C3×D4—41no—
481C3×D4—44no—
482C3×D4—42no—
483C3×D4—42no—
484C3×D4—64no—
485C3×D4—64no—
486C3×D4—61no—
487C3×D4—62no—
488C2×C3×C4—22no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—22no—
493C2×C3×C4—22no—
494C2×C3×C4—21no—
495C2×C3×C4—44no—
496C2×C3×C4—42no—
497C2×C3×C4—42no—
498C2×C3×C4—61no—
499C2×C3×C4—64no—
500C2×C3×C4D3×D412yes—
501C2×C3×C4D3×D412yes—
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C2×#6712yes—
505C2×C3×C4C2×#6712yes—
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—24no—
509#67—68no—
510#67—68no—
511#67—68no—
512#67—64no—
513#67—64no—
514#67—124no—
515#67—242no—
516#67—242no—
517#67—244no—
518C2×Dic3—21no—
519C2×Dic3—32no—
520C2×Dic3—32no—
521C2×Dic3—62no—
522C2×Dic3—68no—
523C2×Dic3—64no—
524C2×Dic3—62no—
525C2×Dic3—62no—
526C2×Dic3—241no—
527C2×Dic3—241no—
528C2×Dic3—242no—
529D12—24no—
530D12—22no—
531D12—21no—
532D12—68no—
533D12—62no—
534D12—62no—
535D12—122no—
536D12C2×#6714yes—
537D12C2×#6712yes—
538C4×D3—24no—
539C4×D3—68no—
540C4×D3—62no—
541C4×D3—62no—
542C4×D3—62no—
543C4×D3—62no—
544C4×D3—122no—
545C4×D3—122no—
546Dic6—21no—
547Dic6—62no—
548Dic6—62no—
549Dic6—122no—
550Dic6C2×#6712yes—
551C3×C8—61no—
552C3×C8—61no—
553C3×C8—62no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—22no—
557C2×C32—22no—
558C2×C32—81no—
559C2×C32C2×#12011yescharacteristic
560C2×C32#57611yescharacteristic
561C2×C32#57711yescharacteristic
562C3⋊D3—42no—
563C3×D3—42no—
564C3×D3—44no—
565C24—61no—
566C24—182no—
567#41—22no—
568#41—22no—
569#41—34no—
570#41—62no—
571#41—188no—
572#41—184no—
573#41—184no—
574#41—182no—
575#41—182no—
576C2×Q8—31no—
577C2×Q8—91no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—21no—
580C2×D4—32no—
581C2×D4—31no—
582C2×D4—34no—
583C2×D4—61no—
584C2×D4—62no—
585C2×D4—61no—
586C2×D4—92no—
587C2×D4—91no—
588C2×D4—188no—
589C2×D4—182no—
590C2×D4—182no—
591C2×D4—184no—
592C2×D4—184no—
593C2×D4—1816no—
594C2×D4—182no—
595C2×D4C2×D3211yescharacteristic
596C22×C4—21no—
597C22×C4—61no—
598C22×C4—92no—
599C22×C4—182no—
600C22×C4—181no—
601C22×C4C2×D3211yescharacteristic
602Q16—62no—
603SD16—62no—
604SD16—62no—
605SD16—64no—
606D8—62no—
607D8—64no—
608M16—62no—
609C2×C8—31no—
610C2×C8—31no—
611C2×C8—32no—
612C2×C8—62no—
613C4⋊C4—92no—
614C4⋊C4—182no—
615C4⋊C4—181no—
616C22⋊C4—182no—
617C22⋊C4—182no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—22no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—42no—
627C22×C3—42no—
628C22×C3—42no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3—41no—
634C22×C3—41no—
635C22×C3—64no—
636C22×C3—62no—
637C22×C3—122no—
638C22×C3—122no—
639C22×C3—121no—
640C22×C3—121no—
641C22×C3—244no—
642C22×C3#93712yes—
643C22×C3#93712yes—
644C22×C3C2×D3×D411yescharacteristic
645C22×C3C2×D3×D411yescharacteristic
646C2×D3—22no—
647C2×D3—24no—
648C2×D3—41no—
649C2×D3—41no—
650C2×D3—42no—
651C2×D3—42no—
652C2×D3—62no—
653C2×D3—62no—
654C2×D3—62no—
655C2×D3—62no—
656C2×D3—62no—
657C2×D3—62no—
658C2×D3—84no—
659C2×D3—122no—
660C2×D3—122no—
661C2×D3—122no—
662C2×D3—248no—
663C2×D3—248no—
664C3×C4—21no—
665C3×C4—21no—
666C3×C4—22no—
667C3×C4—42no—
668C3×C4—41no—
669C3×C4—41no—
670C3×C4—62no—
671C3×C4#93712yes—
672C3×C4#93712yes—
673C3×C4C2×D3×D411yescharacteristic
674C3×C4C2×D3×D411yescharacteristic
675C3×C4C22×#6711yescharacteristic
676C3×C4C22×#6711yescharacteristic
677Dic3—22no—
678Dic3—62no—
679Dic3—62no—
680Dic3—122no—
681Dic3—124no—
682Dic3—122no—
683Dic3—122no—
684C32#301211yescharacteristic, complemented, Sylow
685C23—21no—
686C23—61no—
687C23—62no—
688C23—64no—
689C23—92no—
690C23—188no—
691C23—241no—
692C23—241no—
693C23—722no—
694C23—722no—
695C23#381111yescharacteristic
696Q8—21no—
697Q8—21no—
698Q8—32no—
699Q8—61no—
700Q8—182no—
701D4—21no—
702D4—21no—
703D4—34no—
704D4—32no—
705D4—42no—
706D4—64no—
707D4—62no—
708D4—61no—
709D4—64no—
710D4—188no—
711D4—188no—
712D4—184no—
713D4—182no—
714D4—722no—
715C2×C4—21no—
716C2×C4—42no—
717C2×C4—61no—
718C2×C4—64no—
719C2×C4—92no—
720C2×C4—188no—
721C2×C4—182no—
722C2×C4—182no—
723C2×C4—182no—
724C2×C4—721no—
725C2×C4D3×#6712yes—
726C2×C4D3×#6712yes—
727C2×C4#381111yescharacteristic
728C2×C4C22×D3211yescharacteristic
729C8—61no—
730C8—61no—
731C8—62no—
732C2×C3—22no—
733C2×C3—22no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—42no—
738C2×C3—82no—
739C2×C3—81no—
740C2×C3—81no—
741C2×C3—124no—
742C2×C3—122no—
743C2×C3#576911yescharacteristic
744C2×C3#577011yescharacteristic
745C2×C3#577411yescharacteristic
746C2×C3#577511yescharacteristic
747C2×C3C2×#93711yescharacteristic
748C2×C3C2×#93711yescharacteristic
749D3—42no—
750D3—44no—
751D3—122no—
752D3—122no—
753D3—242no—
754C22—21no—
755C22—21no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—62no—
760C22—64no—
761C22—122no—
762C22—121no—
763C22—122no—
764C22—121no—
765C22—182no—
766C22—182no—
767C22—182no—
768C22—244no—
769C22—728no—
770C22#6398312yes—
771C22C2×#381111yescharacteristic
772C4—41no—
773C4—62no—
774C4—182no—
775C4—362no—
776C4#6398312yes—
777C4C2×D3×#6711yescharacteristic
778C4C2×D3×#6711yescharacteristic
779C3—21no—
780C3#8391211yescharacteristic, complemented
781C3#8394911yescharacteristic, complemented
782C2—22no—
783C2—81no—
784C2—124no—
785C2—122no—
786C2—362no—
787C2#1059546111yescharacteristic
788C2#1059546211yescharacteristic
789C2C2×#6398311yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3012
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×#64307C2semidirect
2. #10596304C2semidirect
3. C2×C3×#950C2semidirect
4. C2×C3×#949C2semidirect
5. #10591656C2semidirect
6. #10591652C2semidirect
7. #10591520C2semidirect
8. #10591516C2semidirect
9. #10591088C2semidirect
10. C2×#63563C2semidirect
11. #10591073C2semidirect
14. C2×C32×#41C22semidirect
25. #64155C22semidirect
27. #64147C22semidirect
29. C2×C4⋊(C3⋊Dic3)C22semidirect
33. C2×C3×#216C22semidirect
34. C2×C3×#215C22semidirect
35. C2×C3×#215C22semidirect
36. C2×C3×#214C22semidirect
37. C2×C3×#213C22semidirect
38. C2×C3×#213C22semidirect
39. C2×C3×#208C22semidirect
40. C22×C3×C3⋊C8C22semidirect
41. #63566C22semidirect
42. #63563C22semidirect
43. #63563C22semidirect
44. #63563C22semidirect
45. #63557C22semidirect
46. #63557C22semidirect
54. C2×#950D3semidirect
55. C2×#949D3semidirect
89. C3×#235D4semidirect
92. C2×C3×D12D4semidirect
126. C2×C3×#41C2×D3semidirect
127. C2×C3×#41C2×D3semidirect
163. C2×#216C2×D3semidirect
164. C2×#215C2×D3semidirect
165. C2×#215C2×D3semidirect
172. C2×#214C2×D3semidirect
173. C2×#213C2×D3semidirect
174. C2×#213C2×D3semidirect
184. C2×#208C2×D3semidirect
185. C22×C3⋊C8C2×D3semidirect
325. #235#67semidirect
333. C2×D12#67semidirect
413. C2×#41D32semidirect
684. C32#3012semidirect
780. C3#83912semidirect
781. C3#83949semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
#105963042
C2×C3×#9502
C2×C3×#9492
#105916562
#105916522
#105915202
#105915162
#105910882
C2×#635632
#105910732
#839493
#839123