Finite Group Databasebeta

← #11864612

Subgroups — #11864612

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×C3×#1009C211yesmaximal, characteristic, complemented
2#10596304C211yesmaximal, characteristic, complemented
3C2×#63830C211yesmaximal, characteristic, complemented
4C2×#63829C211yesmaximal, characteristic, complemented
5C3×#5234C211yesmaximal, characteristic, complemented
6#10591173C212yesmaximal, complemented
7#10591172C212yesmaximal, complemented
8#10591163C212yesmaximal, complemented
9#10591162C212yesmaximal, complemented
10#10591088C211yesmaximal, characteristic, complemented
11C2×#63563C211yesmaximal, characteristic, complemented
12#84102—31nomaximal
13#78672—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×#3828C2211yescharacteristic, complemented
16C3×#1009—24no—
17C3×#1009—24no—
18C2×C3×#239—21no—
19C2×C3×D3×D4—21no—
20C2×C3×D3×D4—22no—
21C2×C3×#235C2212yes—
22C2×C3×#235C2211yescharacteristic
23C22×C3×D12C2212yes—
24C22×C3×D12C2211yescharacteristic
25#64155—21no—
26#64148—22no—
27#64147—21no—
28#64139C2212yescomplemented
29C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
30#64133C2212yescomplemented
31C2×C3×#208C2211yescharacteristic, complemented
32C22×C3×C3⋊C8C2211yescharacteristic, complemented
33C2×#3719C2211yescharacteristic, complemented
34C2×#3717C2211yescharacteristic, complemented
35#63830—24no—
36#63829—24no—
37C2×#3716C2211yescharacteristic, complemented
38C2×#3716C2212yescomplemented
39C2×#3714C2211yescharacteristic, complemented
40C2×#3714C2212yescomplemented
41C3×#830C2212yescomplemented
42C3×#830C2212yescomplemented
43#63566C2212yescomplemented
44#63563C2212yescomplemented
45#63563C2212yescomplemented
46#63563C2212yescomplemented
47C2×C3×H(5,𝔽2)—31no—
48C2×#1009D311yescharacteristic, complemented
49#5833—31no—
50#5833—31no—
51#5833—61no—
52C2×#950—31no—
53C2×#932—31no—
54C2×#908—31no—
55C2×#904—31no—
56C3×#408—31no—
57#5239—32no—
58#5238—32no—
59#5234D311yescharacteristic, complemented
60#5232—31no—
61#5218—32no—
62#5217—32no—
63C2×#832—31no—
64#5133—31no—
65C2×#821—31no—
66#4734—32no—
67#4733—32no—
68#4732—32no—
69#4731—32no—
70C23×C3×D3—22no—
71C23×C3×D3—21no—
72C32×#41—22no—
73C32×#41—22no—
74C2×C32×Q8D411yescharacteristic
75C2×C32×D4D411yescharacteristic
76C2×C32×D4D412yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C2×#638—21no—
80C2×#638—22no—
81C22×C3⋊Dic3—21no—
82#3828—22no—
83#3828—22no—
84C2×C4⋊(C3⋊D3)C2311yescharacteristic
85C2×C4×C3⋊D3—21no—
86C2×#634C2311yescharacteristic
87C2×C3×#67—22no—
88C2×C3×#67—21no—
89C3×#239—28no—
90C3×D3×D4—216no—
91C3×D3×D4—28no—
92C3×#235—22no—
93C3×#235—24no—
94C3×#235—24no—
95C3×#235D414yescomplemented
96C2×C3×D12—22no—
97C2×C3×D12—21no—
98C2×C3×D12—22no—
99C2×C3×D12—24no—
100C2×C3×D12—24no—
101C2×C3×D12D414yescomplemented
102C2×C3×D12C2311yescharacteristic
103C2×C3×D12C2312yes—
104C2×C3×C4×D3—22no—
105C2×C3×C4×D3—21no—
106C2×C3×Dic6C2311yescharacteristic
107#3757—22no—
108#3752—22no—
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2312yes—
111#3750—22no—
112C3×#208—22no—
113C2×C3×C3⋊C8—22no—
114C2×C3×C3⋊C8C2311yescharacteristic
115C2×C3×C3⋊C8C2311yescharacteristic
116C2×C3×C3⋊C8C2312yes—
117#3719—22no—
118#3717—22no—
119#3716—22no—
120#3716—24no—
121#3714—22no—
122#3714—24no—
123#3012—91noSylow
124C3×H(5,𝔽2)—64no—
125C3×H(5,𝔽2)—64no—
126C2×C3×#41—21no—
127C2×C3×#41—31no—
128C2×C3×#41—32no—
129C2×C3×#41—61no—
130C2×C3×#41C2×D311yescharacteristic
131C2×C3×#41C2×D311yescharacteristic
132C22×C3×D4—31no—
133C22×C3×D4—32no—
134C22×C3×D4—61no—
135C22×C3×D4—62no—
136#1009—24no—
137#1009—24no—
138C2×#239—21no—
139C2×D3×D4—21no—
140C2×D3×D4—22no—
141C2×#235—31no—
142C2×#235—31no—
143C2×#235—61no—
144C2×#235C2×D312yes—
145C2×#235C2×D311yescharacteristic
146C22×D12C2×D312yes—
147C22×D12C2×D311yescharacteristic
148C2×C3×M16—31no—
149C22×C3×C8—31no—
150#950—64no—
151#946—62no—
152#946—61no—
153#946—61no—
154C2×#216—31no—
155C2×#215—31no—
156#939—64no—
157#939—62no—
158#939—62no—
159#938—62no—
160#938—61no—
161#938—61no—
162C2×#214—31no—
163C2×#214—32no—
164#932—64no—
165C2×#213—31no—
166C2×#213—32no—
167#930—32no—
168#930—32no—
169#930—62no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—61no—
173#924—32no—
174#924—32no—
175#924—62no—
176C2×#208C2×D311yescharacteristic, complemented
177C22×C3⋊C8C2×D311yescharacteristic, complemented
178#908—64no—
179C2×Dic12—31no—
180#904—64no—
181C2×D24—31no—
182C2×D24—32no—
183C2×#204—31no—
184C2×#204—32no—
185C2×#204—31no—
186C3×C22⋊C8—32no—
187C3×C22⋊C8—32no—
188#835—32no—
189#832—32no—
190#832—32no—
191#832—32no—
192#830C2×D312yescomplemented
193#830C2×D312yescomplemented
194#821—32no—
195#821—32no—
196#821—32no—
197#816—32no—
198C23×C32C2×D412yes—
199C23×C32C2×D411yescharacteristic
200C22×C3⋊D3—21no—
201C22×C3×D3—22no—
202C22×C3×D3—21no—
203C22×C3×D3—28no—
204C22×C3×D3—24no—
205C22×C3×D3—81no—
206C22×C3×D3—82no—
207C22×C3×D3—81no—
208C22×C3×D3—82no—
209C32×Q8—22no—
210C32×D4—24no—
211C32×D4—22no—
212C2×C32×C4—22no—
213C2×C32×C4—22no—
214C2×C32×C4C2×D412yes—
215C2×C32×C4C2×D411yescharacteristic
216C2×C32×C4C2×D412yes—
217C2×C32×C4C2×D412yes—
218C2×C32×C4C2411yescharacteristic
219#638—42no—
220#638—82no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—22no—
223C2×C3⋊Dic3—81no—
224C4⋊(C3⋊D3)—21no—
225C4⋊(C3⋊D3)—21no—
226C4×C3⋊D3—42no—
227#634—21no—
228#634—21no—
229C3×#67—28no—
230C3×#67—24no—
231C2×C3×Dic3—21no—
232C3×D12—28no—
233C3×D12—24no—
234C3×D12—21no—
235C3×D12—22no—
236C3×D12C2×D412yes—
237C3×D12C2×D414yes—
238C3×C4×D3—28no—
239C3×C4×D3—24no—
240C3×Dic6—21no—
241C3×Dic6C2×D412yes—
242C3×C3⋊C8—22no—
243C3×C3⋊C8—21no—
244C3×C3⋊C8—21no—
245C2×H(5,𝔽2)—31no—
246C2×AGL(1,ℤ/8)—91no—
247C2×#135—91no—
248#537—91no—
249#452—92no—
250#450—92no—
251#449—92no—
252#447—92no—
253#417—91no—
254C2×#102—91no—
255#408—31no—
256C24×C3—62no—
257C24×C3—61no—
258C23×D3—22no—
259C23×D3—21no—
260C3×#41—22no—
261C3×#41—22no—
262C3×#41—22no—
263C3×#41—22no—
264C3×#41—34no—
265C3×#41—42no—
266C3×#41—42no—
267C3×#41—64no—
268C3×#41—64no—
269C3×#41—68no—
270C3×#41—62no—
271C2×C3×Q8—21no—
272C2×C3×Q8—31no—
273C2×C3×Q8D1211yescharacteristic
274C2×C3×Q8#6711yescharacteristic
275C2×C3×D4—21no—
276C2×C3×D4—22no—
277C2×C3×D4—34no—
278C2×C3×D4—32no—
279C2×C3×D4—31no—
280C2×C3×D4—64no—
281C2×C3×D4—64no—
282C2×C3×D4—616no—
283C2×C3×D4—68no—
284C2×C3×D4—62no—
285C2×C3×D4—61no—
286C2×C3×D4—62no—
287C2×C3×D4—61no—
288C2×C3×D4—62no—
289C2×C3×D4D1211yescharacteristic
290C2×C3×D4D1212yes—
291C2×C3×D4#6711yescharacteristic
292C2×C3×D4#6712yes—
293C22×C3×C4—21no—
294C22×C3×C4—22no—
295C22×C3×C4—62no—
296C22×C3×C4—61no—
297C22×C3×C4C22×D312yes—
298C22×C3×C4C22×D312yes—
299C22×C3×C4C22×D311yescharacteristic
300C22×C3×C4C22×D311yescharacteristic
301C2×#67—22no—
302C2×#67—21no—
303C2×#67—62no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—64no—
307C2×#67—62no—
308C2×#67—62no—
309C22×Dic3—62no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312#239—28no—
313D3×D4—216no—
314D3×D4—28no—
315#235—22no—
316#235—24no—
317#235—24no—
318#235—62no—
319#235—62no—
320#235—62no—
321#235—62no—
322#235—122no—
323#235—122no—
324#235#6714yescomplemented
325C2×D12—22no—
326C2×D12—21no—
327C2×D12—22no—
328C2×D12—24no—
329C2×D12—24no—
330C2×D12—31no—
331C2×D12—31no—
332C2×D12—61no—
333C2×D12#6714yescomplemented
334C2×D12C22×D311yescharacteristic
335C2×D12C22×D312yes—
336C2×C4×D3—22no—
337C2×C4×D3—21no—
338C2×C4×D3—62no—
339C2×C4×D3—61no—
340C2×C4×D3—61no—
341C2×Dic6—31no—
342C2×Dic6—31no—
343C2×Dic6—61no—
344C2×Dic6C22×D311yescharacteristic
345C3×M16—62no—
346C2×C3×C8—32no—
347C2×C3×C8—31no—
348C2×C3×C8—31no—
349C2×C3×C8—62no—
350#217—64no—
351#217—62no—
352#217—62no—
353#216—62no—
354#215—62no—
355#214—64no—
356#214—62no—
357#213—64no—
358#213—62no—
359(C2×D3)⋊C4—64no—
360(C2×D3)⋊C4—62no—
361(C2×D3)⋊C4—62no—
362C4⋊Dic3—32no—
363C4⋊Dic3—32no—
364C4⋊Dic3—62no—
365C4⋊Dic3—62no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368Dic3⋊C4—64no—
369Dic3⋊C4—62no—
370Dic3⋊C4—62no—
371#208—22no—
372C2×C3⋊C8—22no—
373C2×C3⋊C8C22×D311yescharacteristic
374C2×C3⋊C8C22×D311yescharacteristic
375C2×C3⋊C8C22×D312yes—
376Dic12—62no—
377D24—62no—
378D24—64no—
379#204—62no—
380#204—64no—
381#204—62no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—22no—
385C22×C32—22no—
386C22×C32—22no—
387C22×C32#12012yes—
388C22×C32C22×D411yescharacteristic
389C2×C3⋊D3—41no—
390C2×C3⋊D3—41no—
391C2×C3⋊D3—41no—
392C2×C3×D3—24no—
393C2×C3×D3—22no—
394C2×C3×D3—42no—
395C2×C3×D3—41no—
396C2×C3×D3—42no—
397C2×C3×D3—41no—
398C2×C3×D3—84no—
399C2×C3×D3—88no—
400C32×C4—22no—
401C32×C4#12012yes—
402C32×C4C22×D411yescharacteristic
403C32×C4C22×D411yescharacteristic
404C3⋊Dic3—41no—
405C3⋊Dic3—42no—
406C3×Dic3—22no—
407H(5,𝔽2)—64no—
408H(5,𝔽2)—64no—
409C2×#41—31no—
410C2×#41—32no—
411C2×#41—61no—
412C2×#41—91no—
413C2×#41D3211yescharacteristic
414C22×D4—31no—
415C22×D4—32no—
416C22×D4—62no—
417C22×D4—61no—
418AGL(1,ℤ/8)—184no—
419#135—184no—
420C2×Q16—91no—
421C2×SD16—91no—
422C2×SD16—92no—
423C2×SD16—91no—
424C2×D8—91no—
425C2×D8—92no—
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—32no—
439C22⋊C8—32no—
440C23×C3—21no—
441C23×C3—22no—
442C23×C3—68no—
443C23×C3—62no—
444C23×C3—61no—
445C23×C3—64no—
446C23×C3—241no—
447C23×C3—241no—
448C23×C3—242no—
449C23×C3—242no—
450C23×C3C2×D1212yes—
451C23×C3C2×D1211yescharacteristic
452C23×C3C2×#6712yes—
453C23×C3C2×#6711yescharacteristic
454C22×D3—22no—
455C22×D3—21no—
456C22×D3—28no—
457C22×D3—24no—
458C22×D3—62no—
459C22×D3—61no—
460C22×D3—61no—
461C22×D3—81no—
462C22×D3—82no—
463C22×D3—81no—
464C22×D3—82no—
465C3×Q8—22no—
466C3×Q8—22no—
467C3×Q8—32no—
468C3×Q8—42no—
469C3×Q8—61no—
470C3×D4—24no—
471C3×D4—24no—
472C3×D4—22no—
473C3×D4—22no—
474C3×D4—34no—
475C3×D4—32no—
476C3×D4—42no—
477C3×D4—44no—
478C3×D4—68no—
479C3×D4—68no—
480C3×D4—64no—
481C3×D4—64no—
482C3×D4—61no—
483C3×D4—62no—
484C2×C3×C4—22no—
485C2×C3×C4—22no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—22no—
491C2×C3×C4—22no—
492C2×C3×C4—22no—
493C2×C3×C4—42no—
494C2×C3×C4—42no—
495C2×C3×C4—68no—
496C2×C3×C4—61no—
497C2×C3×C4—64no—
498C2×C3×C4C2×D1212yes—
499C2×C3×C4C2×D1211yescharacteristic
500C2×C3×C4D3×D412yes—
501C2×C3×C4D3×D412yes—
502C2×C3×C4C2×#6712yes—
503C2×C3×C4C2×#6711yescharacteristic
504C2×C3×C4C2×#6712yes—
505C2×C3×C4C2×#6712yes—
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—28no—
509#67—24no—
510#67—124no—
511#67—122no—
512#67—122no—
513#67—242no—
514#67—242no—
515#67—244no—
516C2×Dic3—21no—
517C2×Dic3—62no—
518C2×Dic3—64no—
519C2×Dic3—61no—
520C2×Dic3—62no—
521C2×Dic3—61no—
522C2×Dic3—62no—
523C2×Dic3—241no—
524C2×Dic3—241no—
525C2×Dic3—242no—
526D12—28no—
527D12—24no—
528D12—21no—
529D12—22no—
530D12—61no—
531D12—61no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12—121no—
536D12C2×#6712yes—
537D12C2×#6714yes—
538C4×D3—28no—
539C4×D3—24no—
540C4×D3—124no—
541C4×D3—122no—
542C4×D3—122no—
543Dic6—21no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—121no—
549Dic6—121no—
550Dic6C2×#6712yes—
551C3×C8—61no—
552C3×C8—62no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—22no—
557C2×C32—22no—
558C2×C32—42no—
559C2×C32C2×#12011yescharacteristic
560C2×C32#57611yescharacteristic
561C2×C32#57711yescharacteristic
562C3⋊D3—81no—
563C3×D3—44no—
564C3×D3—42no—
565C24—62no—
566C24—61no—
567#41—22no—
568#41—22no—
569#41—34no—
570#41—64no—
571#41—64no—
572#41—68no—
573#41—62no—
574#41—182no—
575#41—182no—
576C2×Q8—31no—
577C2×Q8—91no—
578C2×Q8#62611yescharacteristic
579C2×D4—32no—
580C2×D4—31no—
581C2×D4—34no—
582C2×D4—64no—
583C2×D4—64no—
584C2×D4—616no—
585C2×D4—68no—
586C2×D4—62no—
587C2×D4—61no—
588C2×D4—62no—
589C2×D4—61no—
590C2×D4—62no—
591C2×D4—91no—
592C2×D4—181no—
593C2×D4—182no—
594C2×D4#62612yes—
595C2×D4#62611yescharacteristic
596C22×C4—62no—
597C22×C4—61no—
598C22×C4—181no—
599C22×C4—181no—
600C22×C4C2×D3212yes—
601C22×C4C2×D3211yescharacteristic
602Q16—182no—
603SD16—182no—
604SD16—184no—
605SD16—182no—
606D8—182no—
607D8—184no—
608M16—62no—
609C2×C8—31no—
610C2×C8—31no—
611C2×C8—32no—
612C2×C8—62no—
613C4⋊C4—92no—
614C4⋊C4—181no—
615C4⋊C4—182no—
616C22⋊C4—182no—
617C22⋊C4—182no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—22no—
623C22×C3—22no—
624C22×C3—22no—
625C22×C3—22no—
626C22×C3—22no—
627C22×C3—22no—
628C22×C3—21no—
629C22×C3—22no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—42no—
633C22×C3—42no—
634C22×C3—42no—
635C22×C3—64no—
636C22×C3—62no—
637C22×C3—122no—
638C22×C3—121no—
639C22×C3—122no—
640C22×C3—121no—
641C22×C3—244no—
642C22×C3—248no—
643C22×C3#88212yes—
644C22×C3#95312yes—
645C22×C3C22×D1211yescharacteristic
646C22×C3C22×#6711yescharacteristic
647C2×D3—24no—
648C2×D3—22no—
649C2×D3—42no—
650C2×D3—41no—
651C2×D3—42no—
652C2×D3—41no—
653C2×D3—84no—
654C2×D3—88no—
655C2×D3—122no—
656C2×D3—122no—
657C2×D3—122no—
658C2×D3—121no—
659C2×D3—121no—
660C2×D3—121no—
661C2×D3—121no—
662C2×D3—121no—
663C2×D3—121no—
664C3×C4—22no—
665C3×C4—22no—
666C3×C4—21no—
667C3×C4—21no—
668C3×C4—22no—
669C3×C4—42no—
670C3×C4—62no—
671C3×C4#88212yes—
672C3×C4#95312yes—
673C3×C4C2×D3×D411yescharacteristic
674C3×C4C2×D3×D411yescharacteristic
675C3×C4C22×#6711yescharacteristic
676C3×C4C22×#6711yescharacteristic
677Dic3—22no—
678Dic3—122no—
679Dic3—124no—
680Dic3—121no—
681Dic3—122no—
682Dic3—122no—
683Dic3—121no—
684C32#301211yescharacteristic, complemented, Sylow
685C23—68no—
686C23—62no—
687C23—61no—
688C23—64no—
689C23—181no—
690C23—241no—
691C23—241no—
692C23—242no—
693C23—242no—
694C23C2×#62612yes—
695C23C2×#62611yescharacteristic
696Q8—22no—
697Q8—32no—
698Q8—61no—
699Q8—181no—
700Q8—181no—
701D4—24no—
702D4—22no—
703D4—34no—
704D4—32no—
705D4—68no—
706D4—68no—
707D4—64no—
708D4—61no—
709D4—62no—
710D4—64no—
711D4—181no—
712D4—181no—
713D4—362no—
714D4—722no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—68no—
718C2×C4—61no—
719C2×C4—64no—
720C2×C4—182no—
721C2×C4—181no—
722C2×C4—362no—
723C2×C4—721no—
724C2×C4C2×#62612yes—
725C2×C4C2×#62611yescharacteristic
726C2×C4D3×#6712yes—
727C2×C4D3×#6712yes—
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—42no—
739C2×C3—42no—
740C2×C3—82no—
741C2×C3—124no—
742C2×C3—122no—
743C2×C3C2×#88211yescharacteristic
744C2×C3#575111yescharacteristic
745C2×C3#575211yescharacteristic
746C2×C3#583511yescharacteristic
747C2×C3#583611yescharacteristic
748C2×C3C2×#95311yescharacteristic
749D3—44no—
750D3—42no—
751D3—242no—
752D3—241no—
753D3—241no—
754C22—21no—
755C22—21no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—64no—
760C22—62no—
761C22—122no—
762C22—121no—
763C22—122no—
764C22—121no—
765C22—244no—
766C22—248no—
767C22—361no—
768C22—361no—
769C22—361no—
770C22#6397712yes—
771C22C22×#62611yescharacteristic
772C4—22no—
773C4—62no—
774C4—362no—
775C4—361no—
776C4#6397712yes—
777C4C2×D3×#6711yescharacteristic
778C4C2×D3×#6711yescharacteristic
779C3—21no—
780C3#7867211yescharacteristic, complemented
781C3#8410211yescharacteristic, complemented
782C2—22no—
783C2—42no—
784C2—124no—
785C2—122no—
786C2—721no—
787C2#1059544711yescharacteristic
788C2#1059544911yescharacteristic
789C2C2×#6397711yescharacteristic
subgroupG/H
centerC22C22×#626
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 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1009C2semidirect
2. #10596304C2semidirect
3. C2×#63830C2semidirect
4. C2×#63829C2semidirect
5. C3×#5234C2semidirect
6. #10591173C2semidirect
7. #10591172C2semidirect
8. #10591163C2semidirect
9. #10591162C2semidirect
10. #10591088C2semidirect
11. C2×#63563C2semidirect
15. C2×#3828C22semidirect
28. #64139C22semidirect
29. C2×C4⋊(C3⋊Dic3)C22semidirect
30. #64133C22semidirect
31. C2×C3×#208C22semidirect
32. C22×C3×C3⋊C8C22semidirect
33. C2×#3719C22semidirect
34. C2×#3717C22semidirect
37. C2×#3716C22semidirect
38. C2×#3716C22semidirect
39. C2×#3714C22semidirect
40. C2×#3714C22semidirect
41. C3×#830C22semidirect
42. C3×#830C22semidirect
43. #63566C22semidirect
44. #63563C22semidirect
45. #63563C22semidirect
46. #63563C22semidirect
48. C2×#1009D3semidirect
59. #5234D3semidirect
95. C3×#235D4semidirect
101. C2×C3×D12D4semidirect
176. C2×#208C2×D3semidirect
177. C22×C3⋊C8C2×D3semidirect
192. #830C2×D3semidirect
193. #830C2×D3semidirect
324. #235#67semidirect
333. C2×D12#67semidirect
684. C32#3012semidirect
780. C3#78672semidirect
781. C3#84102semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
#105963042
C2×#638302
C2×#638292
C3×#52342
#105911732
#105911722
#105911632
#105911622
#105910882
C2×#635632
#841023
#786723