Finite Group Databasebeta

← #11864606

Subgroups — #11864606

Order 1152.

1661 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic, complemented
2C2×#64159C211yesmaximal, characteristic, complemented
3C3×#5833C211yesmaximal, characteristic, complemented
4C2×C3×#949C211yesmaximal, characteristic, complemented
5#10591655C212yesmaximal, complemented
6#10591651C212yesmaximal, complemented
7#10591519C212yesmaximal, complemented
8#10591515C212yesmaximal, complemented
9#10591106C211yesmaximal, characteristic, complemented
10C2×#63562C211yesmaximal, characteristic, complemented
11#10591071C211yesmaximal, characteristic, complemented
12#83949—31nomaximal
13#83424—31nomaximal
14C2×C32×#41C2211yescharacteristic, complemented
15C2×#3828C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C2×D3×#67—22no—
19#64307—24no—
20#64307—24no—
21C2×#3802—21no—
22C2×D3×D12C2212yes—
23C2×#3796—21no—
24C2×#3795C2212yes—
25#64159—24no—
26C2×#3756C2211yescharacteristic, complemented
27C2×#3755C2211yescharacteristic, complemented
28C2×#3754C2211yescharacteristic, complemented
29C2×#3753C2211yescharacteristic, complemented
30C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
31C3×#949—24no—
32C3×#946C2212yescomplemented
33C2×C3×#215C2212yescomplemented
34C3×#939—22no—
35C3×#938C2212yescomplemented
36C2×C3×#213C2212yescomplemented
37C3×#930—21no—
38C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
39C3×#924—21no—
40C2×C3×#208C2211yescharacteristic, complemented
41#63567C2212yescomplemented
42#63564C2212yescomplemented
43#63562C2212yescomplemented
44#63562C2212yescomplemented
45(C2×D3)⋊(C3⋊C8)C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C2×#1009—31no—
48C2×#1004—31no—
49C2×C3×AGL(1,ℤ/8)—31no—
50C3×#537—31no—
51#5833D311yescharacteristic, complemented
52C2×#950—31no—
53C2×#950—31no—
54C2×#950—61no—
55C2×#949D311yescharacteristic, complemented
56#5234—31no—
57C2×#832—31no—
58#5173—32no—
59#5169—32no—
60#5158—32no—
61#5156—32no—
62#5133—31no—
63#5129—31no—
64#5047—32no—
65#5046—32no—
66#5037—32no—
67#5036—32no—
68#4966—31no—
69C2×#809—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—21no—
80#3828—22no—
81#3828D414yescomplemented
82C2×C4⋊(C3⋊D3)C2311yescharacteristic
83C2×C4×C3⋊D3—21no—
84C2×#634C2311yescharacteristic
85C2×C3×#67—22no—
86C2×C3×#67D412yes—
87C22×C3×Dic3—21no—
88C3×#235—22no—
89C3×#235—22no—
90C2×C3×D12—21no—
91C2×C3×D12—22no—
92C2×C3×D12D411yescharacteristic
93C2×C3×D12D414yescomplemented
94C2×C3×D12C2312yes—
95C2×C3×C4×D3C2312yes—
96C2×C3×Dic6D411yescharacteristic
97D3×#67—216no—
98C2×#626—22no—
99C2×#625—22no—
100C2×D3×Dic3—22no—
101#3802—28no—
102D3×D12—24no—
103D3×D12—24no—
104#3796—28no—
105#3795—24no—
106#3795—24no—
107#3756—22no—
108#3755—22no—
109#3754—22no—
110#3753—22no—
111C2×C3⋊(C3⋊C8)—22no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—22no—
115C3×#215—24no—
116C3×#213—24no—
117C3×(C2×D3)⋊C4—22no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2312yes—
120C3×Dic3⋊C4—22no—
121C3×#208—22no—
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—61no—
133#1004—64no—
134#1004—64no—
135C2×#237—32no—
136C2×#237—61no—
137C2×D3×D4—32no—
138C2×D3×D4—61no—
139C2×D3×D4—62no—
140C2×D3×D4—61no—
141C2×#235—31no—
142C2×#235—31no—
143C2×#235—32no—
144C2×#235—61no—
145C2×#235C2×D311yescharacteristic
146C22×D12—32no—
147C22×D12C2×D311yescharacteristic
148C3×AGL(1,ℤ/8)—64no—
149C2×C3×SD16—32no—
150C2×C3×D8—32no—
151C2×C3×M16—31no—
152C3×C22⋊Q8—32no—
153C3×C22⋊Q8—61no—
154C3×#121—32no—
155C3×#121—61no—
156C3×#121—62no—
157C2×C3×C4⋊C4—31no—
158#950—64no—
159#950—64no—
160#950—68no—
161#949—24no—
162#946C2×D312yescomplemented
163C2×#216—31no—
164C2×#216—31no—
165C2×#216—61no—
166C2×#215—31no—
167C2×#215—31no—
168C2×#215—61no—
169C2×#215C2×D312yescomplemented
170#939—22no—
171#938C2×D312yescomplemented
172C2×#214—31no—
173C2×#214—31no—
174C2×#214—61no—
175C2×#213—31no—
176C2×#213—31no—
177C2×#213—61no—
178C2×#213C2×D312yescomplemented
179#930—21no—
180C2×C4⋊Dic3C2×D311yescharacteristic, complemented
181#924—21no—
182C2×#208C2×D311yescharacteristic, complemented
183C22×C3⋊C8—31no—
184C22×C3⋊C8—31no—
185C22×C3⋊C8—61no—
186#832—32no—
187#832—32no—
188#830—32no—
189#830—32no—
190#821—32no—
191(C2×D3)⋊C8—32no—
192(C2×D3)⋊C8—32no—
193#816—32no—
194#810—32no—
195#809—32no—
196#809—32no—
197#809—32no—
198C23×C32—21no—
199C23×C32C2×D411yescharacteristic
200C22×C3⋊D3—21no—
201C22×C3×D3—22no—
202C22×C3×D3—24no—
203C22×C3×D3—81no—
204C22×C3×D3—81no—
205C22×C3×D3C2×D412yes—
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×D412yes—
217C2×C32×C4C2×D411yescharacteristic
218C2×C32×C4C2×D412yes—
219C2×C32×C4C2411yescharacteristic
220#638—24no—
221C2×C3⋊Dic3—21no—
222C4⋊(C3⋊D3)—21no—
223C4⋊(C3⋊D3)C2×D412yes—
224C4×C3⋊D3—24no—
225#634—21no—
226#634C2×D412yes—
227C3×#67—24no—
228C3×#67—82no—
229C2×C3×Dic3—22no—
230C2×C3×Dic3—81no—
231C2×C3×Dic3C2×D412yes—
232C3×D12—24no—
233C3×D12—22no—
234C3×D12—22no—
235C3×D12C2×D414yes—
236C3×C4×D3—22no—
237C3×C4×D3—22no—
238C3×Dic6—22no—
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—91no—
248#537—31no—
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—24no—
261C3×#41—22no—
262C3×#41—22no—
263C3×#41—22no—
264C3×#41—22no—
265C3×#41—42no—
266C3×#41—62no—
267C3×#41—62no—
268C2×C3×Q8—21no—
269C2×C3×Q8—31no—
270C2×C3×Q8C22×D311yescharacteristic
271C2×C3×Q8C22×D311yescharacteristic
272C2×C3×D4—21no—
273C2×C3×D4—21no—
274C2×C3×D4—21no—
275C2×C3×D4—32no—
276C2×C3×D4—34no—
277C2×C3×D4—31no—
278C2×C3×D4—32no—
279C2×C3×D4—41no—
280C2×C3×D4—62no—
281C2×C3×D4—62no—
282C2×C3×D4—61no—
283C2×C3×D4C22×D311yescharacteristic
284C2×C3×D4C22×D311yescharacteristic
285C22×C3×C4—21no—
286C22×C3×C4—21no—
287C22×C3×C4—21no—
288C22×C3×C4—32no—
289C22×C3×C4—41no—
290C22×C3×C4—61no—
291C22×C3×C4C22×D311yescharacteristic
292C22×C3×C4C22×D311yescharacteristic
293C2×#67—22no—
294C2×#67—616no—
295C2×#67—62no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—62no—
299C2×#67—62no—
300C2×#67—121no—
301C2×#67#6712yes—
302C22×Dic3—21no—
303C22×Dic3—62no—
304#239—68no—
305#237—68no—
306#237—64no—
307#237—64no—
308D3×D4—64no—
309D3×D4—64no—
310D3×D4—68no—
311D3×D4—68no—
312D3×D4—616no—
313#235—22no—
314#235—22no—
315#235—34no—
316#235—34no—
317#235—64no—
318#235—64no—
319#235—62no—
320#235—62no—
321#235—64no—
322#235—122no—
323C2×D12—21no—
324C2×D12—22no—
325C2×D12—31no—
326C2×D12—31no—
327C2×D12—61no—
328C2×D12—64no—
329C2×D12—62no—
330C2×D12—64no—
331C2×D12#6711yescharacteristic
332C2×D12#6714yescomplemented
333C2×D12C22×D312yes—
334C2×C4×D3—62no—
335C2×C4×D3—61no—
336C2×C4×D3—61no—
337C2×C4×D3—121no—
338C2×C4×D3C22×D312yes—
339C2×Dic6—31no—
340C2×Dic6—31no—
341C2×Dic6—61no—
342C2×Dic6#6711yescharacteristic
343C3×SD16—64no—
344C3×D8—64no—
345C3×M16—62no—
346C2×C3×C8—32no—
347C3×C4⋊C4—32no—
348C3×C4⋊C4—62no—
349C3×C4⋊C4—61no—
350C3×C22⋊C4—62no—
351C3×C22⋊C4—62no—
352#217—22no—
353#216—62no—
354#216—62no—
355#216—64no—
356#215—24no—
357#215—62no—
358#215—62no—
359#215—64no—
360#214—62no—
361#214—62no—
362#214—64no—
363#213—24no—
364#213—62no—
365#213—62no—
366#213—64no—
367(C2×D3)⋊C4—22no—
368C4⋊Dic3—21no—
369C4⋊Dic3C22×D312yes—
370Dic3⋊C4—22no—
371#208—22no—
372C2×C3⋊C8—31no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—61no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—64no—
379C2×C3⋊C8—62no—
380C2×C3⋊C8—62no—
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—41no—
391C2×C3⋊D3—41no—
392C2×C3×D3—24no—
393C2×C3×D3—22no—
394C2×C3×D3—22no—
395C2×C3×D3—22no—
396C2×C3×D3—42no—
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—22no—
406C3×Dic3—42no—
407H(5,𝔽2)—184no—
408H(5,𝔽2)—184no—
409C2×#41—31no—
410C2×#41—92no—
411C2×#41—91no—
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—184no—
420C2×Q16—91no—
421C2×SD16—32no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—32no—
425C2×D8—91no—
426C2×M16—31no—
427C22×C8—91no—
428C22⋊Q8—32no—
429C22⋊Q8—61no—
430#121—32no—
431#121—61no—
432#121—62no—
433C2×C4⋊C4—31no—
434#103—92no—
435#102—92no—
436#102—92no—
437#102—92no—
438C22⋊C8—92no—
439C22⋊C8—92no—
440C23×C3—21no—
441C23×C3—21no—
442C23×C3—21no—
443C23×C3—32no—
444C23×C3—41no—
445C23×C3—62no—
446C23×C3—64no—
447C23×C3—241no—
448C23×C3—241no—
449C23×C3D3×D411yescharacteristic
450C23×C3C2×#6711yescharacteristic
451C22×D3—22no—
452C22×D3—24no—
453C22×D3—68no—
454C22×D3—68no—
455C22×D3—61no—
456C22×D3—61no—
457C22×D3—81no—
458C22×D3—81no—
459C22×D3—121no—
460C22×D3—242no—
461C22×D3—242no—
462C22×D3—242no—
463C22×D3—242no—
464C22×D3C2×#6712yes—
465C3×Q8—22no—
466C3×Q8—21no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—41no—
471C3×Q8—62no—
472C3×D4—22no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—34no—
478C3×D4—41no—
479C3×D4—44no—
480C3×D4—42no—
481C3×D4—42no—
482C3×D4—64no—
483C3×D4—62no—
484C3×D4—64no—
485C3×D4—62no—
486C3×D4—242no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—22no—
492C2×C3×C4—22no—
493C2×C3×C4—32no—
494C2×C3×C4—41no—
495C2×C3×C4—44no—
496C2×C3×C4—42no—
497C2×C3×C4—42no—
498C2×C3×C4—62no—
499C2×C3×C4—62no—
500C2×C3×C4—62no—
501C2×C3×C4—241no—
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D412yes—
504C2×C3×C4D3×D412yes—
505C2×C3×C4D3×D412yes—
506C2×C3×C4C2×#6711yescharacteristic
507C2×C3×C4C2×#6712yes—
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—24no—
511#67—68no—
512#67—68no—
513#67—68no—
514#67—64no—
515#67—64no—
516#67—82no—
517#67—124no—
518C2×Dic3—22no—
519C2×Dic3—68no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—81no—
523C2×Dic3—121no—
524C2×Dic3C2×#6712yes—
525D12—24no—
526D12—22no—
527D12—22no—
528D12—32no—
529D12—32no—
530D12—62no—
531D12—68no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12C2×#6714yes—
536C4×D3—22no—
537C4×D3—22no—
538C4×D3—68no—
539C4×D3—64no—
540C4×D3—64no—
541C4×D3—124no—
542Dic6—22no—
543Dic6—32no—
544Dic6—32no—
545Dic6—62no—
546Dic6—61no—
547Dic6—61no—
548Dic6—121no—
549C3×C8—62no—
550C3⋊C8—22no—
551C3⋊C8—62no—
552C3⋊C8—62no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—61no—
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—62no—
570#41—62no—
571#41—94no—
572#41—184no—
573#41—184no—
574#41—188no—
575#41—182no—
576C2×Q8—31no—
577C2×Q8—91no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—21no—
580C2×D4—32no—
581C2×D4—32no—
582C2×D4—34no—
583C2×D4—31no—
584C2×D4—62no—
585C2×D4—61no—
586C2×D4—62no—
587C2×D4—91no—
588C2×D4—182no—
589C2×D4—184no—
590C2×D4—184no—
591C2×D4—188no—
592C2×D4—1816no—
593C2×D4—182no—
594C2×D4—181no—
595C2×D4C2×D3211yescharacteristic
596C22×C4—21no—
597C22×C4—32no—
598C22×C4—61no—
599C22×C4—182no—
600C22×C4—181no—
601C22×C4C2×D3211yescharacteristic
602Q16—182no—
603SD16—64no—
604SD16—182no—
605SD16—182no—
606D8—64no—
607D8—182no—
608M16—62no—
609C2×C8—32no—
610C2×C8—91no—
611C2×C8—91no—
612C2×C8—182no—
613C4⋊C4—32no—
614C4⋊C4—62no—
615C4⋊C4—61no—
616C22⋊C4—62no—
617C22⋊C4—62no—
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—41no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3—62no—
634C22×C3—62no—
635C22×C3—64no—
636C22×C3—62no—
637C22×C3—81no—
638C22×C3—81no—
639C22×C3—122no—
640C22×C3—122no—
641C22×C3—244no—
642C22×C3#93712yes—
643C22×C3#93712yes—
644C22×C3C2×D3×D411yescharacteristic
645C22×C3C22×#6711yescharacteristic
646C2×D3—22no—
647C2×D3—24no—
648C2×D3—22no—
649C2×D3—22no—
650C2×D3—42no—
651C2×D3—42no—
652C2×D3—62no—
653C2×D3—62no—
654C2×D3—84no—
655C2×D3—122no—
656C2×D3—121no—
657C2×D3—121no—
658C2×D3—121no—
659C2×D3—121no—
660C2×D3—241no—
661C2×D3—241no—
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—122no—
672C3×C4#93712yes—
673C3×C4#93712yes—
674C3×C4C2×D3×D411yescharacteristic
675C3×C4C2×D3×D411yescharacteristic
676C3×C4C2×D3×D411yescharacteristic
677C3×C4C22×#6711yescharacteristic
678Dic3—22no—
679Dic3—42no—
680Dic3—62no—
681Dic3—62no—
682Dic3—122no—
683C32#301211yescharacteristic, complemented, Sylow
684C23—21no—
685C23—32no—
686C23—62no—
687C23—64no—
688C23—188no—
689C23—181no—
690C23—241no—
691C23—241no—
692C23—722no—
693C23—722no—
694C23D3×#6711yescharacteristic
695Q8—21no—
696Q8—21no—
697Q8—62no—
698Q8—92no—
699Q8—181no—
700D4—21no—
701D4—21no—
702D4—34no—
703D4—42no—
704D4—64no—
705D4—62no—
706D4—64no—
707D4—62no—
708D4—92no—
709D4—188no—
710D4—188no—
711D4—184no—
712D4—181no—
713D4—242no—
714C2×C4—21no—
715C2×C4—32no—
716C2×C4—42no—
717C2×C4—62no—
718C2×C4—62no—
719C2×C4—62no—
720C2×C4—188no—
721C2×C4—181no—
722C2×C4—184no—
723C2×C4—241no—
724C2×C4D3×#6712yes—
725C2×C4D3×#6711yescharacteristic
726C2×C4#381112yes—
727C2×C4C22×D3211yescharacteristic
728C8—62no—
729C8—181no—
730C8—181no—
731C2×C3—22no—
732C2×C3—22no—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—42no—
737C2×C3—82no—
738C2×C3—81no—
739C2×C3—81no—
740C2×C3—124no—
741C2×C3—122no—
742C2×C3#577411yescharacteristic
743C2×C3#577511yescharacteristic
744C2×C3C2×#93711yescharacteristic
745C2×C3C2×#93711yescharacteristic
746C2×C3#583511yescharacteristic
747C2×C3#583711yescharacteristic
748D3—42no—
749D3—44no—
750D3—122no—
751D3—122no—
752D3—242no—
753C22—21no—
754C22—21no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—62no—
759C22—62no—
760C22—62no—
761C22—64no—
762C22—122no—
763C22—122no—
764C22—182no—
765C22—244no—
766C22—361no—
767C22—361no—
768C22—728no—
769C22#6398312yes—
770C22C2×D3×#6711yescharacteristic
771C4—41no—
772C4—62no—
773C4—122no—
774C4—182no—
775C4#6398312yes—
776C4C2×D3×#6711yescharacteristic
777C4C2×#381111yescharacteristic
778C3—21no—
779C3#8342411yescharacteristic, complemented
780C3#8394911yescharacteristic, complemented
781C2—22no—
782C2—81no—
783C2—122no—
784C2—124no—
785C2—362no—
786C2#1059545411yescharacteristic
787C2#1059545511yescharacteristic
788C2C2×#6398311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
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. C2×#64159C2semidirect
3. C3×#5833C2semidirect
4. C2×C3×#949C2semidirect
5. #10591655C2semidirect
6. #10591651C2semidirect
7. #10591519C2semidirect
8. #10591515C2semidirect
9. #10591106C2semidirect
10. C2×#63562C2semidirect
11. #10591071C2semidirect
14. C2×C32×#41C22semidirect
26. C2×#3756C22semidirect
27. C2×#3755C22semidirect
28. C2×#3754C22semidirect
29. C2×#3753C22semidirect
30. C22×C3⋊(C3⋊C8)C22semidirect
32. C3×#946C22semidirect
33. C2×C3×#215C22semidirect
35. C3×#938C22semidirect
36. C2×C3×#213C22semidirect
38. C2×C3×C4⋊Dic3C22semidirect
40. C2×C3×#208C22semidirect
41. #63567C22semidirect
42. #63564C22semidirect
43. #63562C22semidirect
44. #63562C22semidirect
45. (C2×D3)⋊(C3⋊C8)C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
51. #5833D3semidirect
55. C2×#949D3semidirect
81. #3828D4semidirect
93. C2×C3×D12D4semidirect
126. C2×C3×#41C2×D3semidirect
127. C2×C3×#41C2×D3semidirect
162. #946C2×D3semidirect
169. C2×#215C2×D3semidirect
171. #938C2×D3semidirect
178. C2×#213C2×D3semidirect
180. C2×C4⋊Dic3C2×D3semidirect
182. C2×#208C2×D3semidirect
332. C2×D12#67semidirect
413. C2×#41D32semidirect
683. C32#3012semidirect
779. C3#83424semidirect
780. C3#83949semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C2×#641592
C3×#58332
C2×C3×#9492
#105916552
#105916512
#105915192
#105915152
#105911062
C2×#635622
#105910712
#839493
#834243