Finite Group Databasebeta

← #11864608

Subgroups — #11864608

Order 1152.

1677 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64308C211yesmaximal, characteristic, complemented
2C2×#64158C211yesmaximal, characteristic, complemented
3C3×#5833C211yesmaximal, characteristic, complemented
4C2×C3×#950C211yesmaximal, characteristic, complemented
5#10591657C212yesmaximal, complemented
6#10591651C212yesmaximal, complemented
7#10591521C212yesmaximal, complemented
8#10591515C212yesmaximal, complemented
9C2×#63564C211yesmaximal, characteristic, complemented
10#10591087C211yesmaximal, characteristic, complemented
11#10591070C211yesmaximal, characteristic, complemented
12#83912—31nomaximal
13#83424—31nomaximal
14C2×C32×#41C2211yescharacteristic, complemented
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C2×C3×#235C2211yescharacteristic
18C2×#3811—22no—
19#64308—24no—
20#64308—24no—
21C2×D3×D12—21no—
22C2×D3×D12C2212yes—
23C2×#3799—21no—
24C2×#3799C2212yes—
25#64158—24no—
26C2×#3755C2212yescomplemented
27C2×#3753C2212yescomplemented
28C2×#3748C2211yescharacteristic, complemented
29C3×#950—24no—
30C3×#946C2212yescomplemented
31C2×C3×#216C2211yescharacteristic, complemented
32C2×C3×#215C2211yescharacteristic, complemented
33C3×#939—22no—
34C3×#938C2212yescomplemented
35C2×C3×#214C2211yescharacteristic, complemented
36C2×C3×#213C2211yescharacteristic, complemented
37C3×#930—21no—
38C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
39C3×#924—21no—
40C22×C3×C3⋊C8C2211yescharacteristic, complemented
41#63565C2212yescomplemented
42#63564C2212yescomplemented
43#63564C2212yescomplemented
44#63562C2212yescomplemented
45(C2×D3)⋊(C3⋊C8)C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C2×#1009—31no—
48C2×#1009—31no—
49C2×C3×#135—31no—
50C3×#537—31no—
51#5833D311yescharacteristic, complemented
52C2×#950D311yescharacteristic, complemented
53C2×#949—31no—
54C2×#949—31no—
55C2×#949—61no—
56#5234—31no—
57#5232—31no—
58#5187—32no—
59#5172—32no—
60#5169—32no—
61#5156—32no—
62C2×#821—31no—
63#5110—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×C4⋊(C3⋊D3)—21no—
80C2×C4⋊(C3⋊D3)—22no—
81C2×C4⋊(C3⋊D3)D414yescomplemented
82C2×C4⋊(C3⋊D3)C2312yes—
83C2×C3×#67—21no—
84C2×C3×#67—22no—
85C2×C3×#67D412yes—
86C22×C3×Dic3—21no—
87C3×#235—22no—
88C3×#235—22no—
89C3×#235—22no—
90C3×#235D414yescomplemented
91C2×C3×D12D411yescharacteristic
92C2×C3×D12C2311yescharacteristic
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3C2312yes—
95C2×C3×Dic6D411yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97#3811—216no—
98C2×#626—22no—
99C2×#626—22no—
100C2×#624—22no—
101D3×D12—28no—
102D3×D12—24no—
103D3×D12—24no—
104#3799—28no—
105#3799—24no—
106#3799—24no—
107#3755—24no—
108#3753—24no—
109#3748—22no—
110C2×C3⋊(C3⋊C8)C2312yes—
111C3×#217—22no—
112C3×#216—22no—
113C3×#215—22no—
114C3×#214—22no—
115C3×#213—22no—
116C3×(C2×D3)⋊C4—22no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2312yes—
119C3×Dic3⋊C4—22no—
120C2×C3×C3⋊C8—22no—
121C2×C3×C3⋊C8C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123#3012—91noSylow
124C2×C3×#41—21no—
125C2×C3×#41—31no—
126C2×C3×#41—31no—
127C2×C3×#41C2×D311yescharacteristic, complemented
128C2×C3×#41C2×D311yescharacteristic, complemented
129#1009—64no—
130#1009—64no—
131#1009—64no—
132#1009—64no—
133C2×#239—32no—
134C2×#239—61no—
135C2×D3×D4—32no—
136C2×D3×D4—61no—
137C2×D3×D4—62no—
138C2×D3×D4—62no—
139C2×#235—32no—
140C2×#235—61no—
141C2×#235C2×D311yescharacteristic
142C2×#235C2×D311yescharacteristic
143C22×D12—31no—
144C22×D12—31no—
145C22×D12—32no—
146C22×D12—61no—
147C22×D12—61no—
148C3×#135—64no—
149C2×C3×Q16—31no—
150C2×C3×SD16—31no—
151C2×C3×SD16—31no—
152C2×C3×D8—31no—
153C22×C3×C8—31no—
154C3×C22⋊Q8—32no—
155C3×C22⋊Q8—61no—
156C3×#121—32no—
157C3×#121—61no—
158C3×#121—62no—
159C2×C3×C4⋊C4—31no—
160#950—24no—
161#949—64no—
162#949—64no—
163#949—68no—
164#946C2×D312yescomplemented
165C2×#216C2×D311yescharacteristic, complemented
166C2×#215—32no—
167C2×#215—32no—
168C2×#215—62no—
169C2×#215C2×D311yescharacteristic, complemented
170#939—22no—
171#938C2×D312yescomplemented
172C2×#214C2×D311yescharacteristic, complemented
173C2×#213—32no—
174C2×#213—32no—
175C2×#213—62no—
176C2×#213C2×D311yescharacteristic, complemented
177#930—21no—
178C2×C4⋊Dic3C2×D311yescharacteristic, complemented
179#924—21no—
180C2×#208—31no—
181C2×#208—31no—
182C2×#208—61no—
183C22×C3⋊C8C2×D311yescharacteristic, complemented
184#835—32no—
185#832—32no—
186#830—32no—
187#830—32no—
188#821—32no—
189#821—32no—
190(C2×D3)⋊C8—32no—
191(C2×D3)⋊C8—32no—
192#810—32no—
193#809—32no—
194#809—32no—
195#809—32no—
196C23×C32—21no—
197C23×C32C2×D411yescharacteristic
198C22×C3⋊D3—22no—
199C22×C3⋊D3—24no—
200C22×C3⋊D3—81no—
201C22×C3⋊D3—81no—
202C22×C3×D3—21no—
203C22×C3×D3C2×D412yes—
204C2×D32—28no—
205C2×D32—82no—
206C2×D32—82no—
207C32×Q8—21no—
208C32×Q8—21no—
209C32×D4—21no—
210C32×D4—21no—
211C32×D4—42no—
212C2×C32×C4—21no—
213C2×C32×C4—42no—
214C2×C32×C4C2×D412yes—
215C2×C32×C4C2×D411yescharacteristic
216C2×C32×C4C2×D412yes—
217C2×C32×C4C2411yescharacteristic
218C4⋊(C3⋊D3)—24no—
219C4⋊(C3⋊D3)—22no—
220C4⋊(C3⋊D3)C2×D414yes—
221C3×#67—24no—
222C3×#67—24no—
223C3×#67—82no—
224C2×C3×Dic3—21no—
225C2×C3×Dic3—22no—
226C2×C3×Dic3—81no—
227C2×C3×Dic3C2×D412yes—
228C3×D12—22no—
229C3×D12—21no—
230C3×D12C2×D412yes—
231C3×C4×D3—24no—
232C3×C4×D3—22no—
233C3×C4×D3—22no—
234C3×Dic6—22no—
235C3×Dic6—21no—
236C3×Dic6C2×D412yes—
237#626—28no—
238#626—28no—
239#624—28no—
240C3⋊(C3⋊C8)—22no—
241C3×C3⋊C8—21no—
242C3×C3⋊C8—21no—
243C2×H(5,𝔽2)—91no—
244C2×AGL(1,ℤ/8)—91no—
245C2×#135—31no—
246#537—31no—
247#452—92no—
248#450—92no—
249#449—92no—
250#447—92no—
251#417—91no—
252C2×#102—91no—
253#408—91no—
254C23×D3—62no—
255C23×D3—61no—
256C23×D3—61no—
257C23×D3—62no—
258C23×D3—121no—
259C3×#41—24no—
260C3×#41—22no—
261C3×#41—22no—
262C3×#41—22no—
263C3×#41—22no—
264C3×#41—34no—
265C3×#41—42no—
266C3×#41—62no—
267C3×#41—62no—
268C3×#41—62no—
269C2×C3×Q8—21no—
270C2×C3×Q8—31no—
271C2×C3×Q8—31no—
272C2×C3×Q8C22×D311yescharacteristic
273C2×C3×Q8C22×D311yescharacteristic
274C2×C3×D4—21no—
275C2×C3×D4—21no—
276C2×C3×D4—21no—
277C2×C3×D4—32no—
278C2×C3×D4—31no—
279C2×C3×D4—31no—
280C2×C3×D4—41no—
281C2×C3×D4—61no—
282C2×C3×D4—62no—
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×C4—61no—
292C22×C3×C4C22×D311yescharacteristic
293C22×C3×C4C22×D311yescharacteristic
294C2×#67—21no—
295C2×#67—22no—
296C2×#67—62no—
297C2×#67—62no—
298C2×#67#6712yes—
299C22×Dic3—21no—
300#239—64no—
301#239—64no—
302#239—68no—
303D3×D4—64no—
304D3×D4—64no—
305D3×D4—68no—
306D3×D4—616no—
307D3×D4—616no—
308#235—22no—
309#235—22no—
310#235—22no—
311#235—64no—
312#235—68no—
313#235—64no—
314#235#6714yescomplemented
315C2×D12—34no—
316C2×D12—34no—
317C2×D12—32no—
318C2×D12—32no—
319C2×D12—62no—
320C2×D12—64no—
321C2×D12—64no—
322C2×D12—68no—
323C2×D12—62no—
324C2×D12—62no—
325C2×D12—61no—
326C2×D12—62no—
327C2×D12—61no—
328C2×D12—62no—
329C2×D12—64no—
330C2×D12—121no—
331C2×D12—122no—
332C2×D12#6711yescharacteristic
333C2×D12C22×D311yescharacteristic
334C2×C4×D3—21no—
335C2×C4×D3—62no—
336C2×C4×D3—62no—
337C2×C4×D3C22×D312yes—
338C2×Dic6#6711yescharacteristic
339C2×Dic6C22×D311yescharacteristic
340C3×Q16—62no—
341C3×SD16—62no—
342C3×SD16—62no—
343C3×D8—62no—
344C2×C3×C8—31no—
345C2×C3×C8—31no—
346C2×C3×C8—62no—
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—22no—
354#215—22no—
355#215—64no—
356#215—64no—
357#215—68no—
358#214—22no—
359#213—22no—
360#213—64no—
361#213—64no—
362#213—68no—
363(C2×D3)⋊C4—22no—
364C4⋊Dic3—21no—
365C4⋊Dic3C22×D312yes—
366Dic3⋊C4—22no—
367#208—64no—
368#208—62no—
369#208—62no—
370C2×C3⋊C8—22no—
371C2×C3⋊C8—32no—
372C2×C3⋊C8—32no—
373C2×C3⋊C8—62no—
374C2×C3⋊C8C22×D311yescharacteristic
375C2×C3⋊C8C22×D311yescharacteristic
376C22×C32—21no—
377C22×C32—21no—
378C22×C32—41no—
379C22×C32—41no—
380C22×C32—41no—
381C22×C32#12012yes—
382C22×C32C22×D411yescharacteristic
383C2×C3⋊D3—24no—
384C2×C3⋊D3—42no—
385C2×C3⋊D3—42no—
386C2×C3⋊D3—84no—
387C2×C3×D3—22no—
388C2×C3×D3—22no—
389C2×C3×D3—22no—
390C2×C3×D3—22no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393D32—88no—
394C32×C4—41no—
395C32×C4#12012yes—
396C32×C4C22×D411yescharacteristic
397C32×C4C22×D411yescharacteristic
398C3×Dic3—22no—
399C3×Dic3—22no—
400C3×Dic3—42no—
401H(5,𝔽2)—184no—
402H(5,𝔽2)—184no—
403C2×#41—31no—
404C2×#41—31no—
405C2×#41—92no—
406C2×#41—181no—
407C2×#41D3211yescharacteristic, complemented
408C22×D4—92no—
409C22×D4—91no—
410C22×D4—181no—
411C22×D4—182no—
412AGL(1,ℤ/8)—184no—
413#135—64no—
414C2×Q16—31no—
415C2×SD16—31no—
416C2×SD16—31no—
417C2×SD16—92no—
418C2×D8—31no—
419C2×D8—92no—
420C2×M16—91no—
421C22×C8—31no—
422C22⋊Q8—32no—
423C22⋊Q8—61no—
424#121—32no—
425#121—61no—
426#121—62no—
427C2×C4⋊C4—31no—
428#103—92no—
429#102—92no—
430#102—92no—
431#102—92no—
432C22⋊C8—92no—
433C22⋊C8—92no—
434C23×C3—21no—
435C23×C3—21no—
436C23×C3—21no—
437C23×C3—32no—
438C23×C3—41no—
439C23×C3—61no—
440C23×C3D3×D411yescharacteristic
441C23×C3C2×#6711yescharacteristic
442C22×D3—21no—
443C22×D3—68no—
444C22×D3—68no—
445C22×D3—62no—
446C22×D3—62no—
447C22×D3—64no—
448C22×D3—64no—
449C22×D3—122no—
450C22×D3—124no—
451C22×D3—242no—
452C22×D3—242no—
453C22×D3—242no—
454C22×D3—242no—
455C22×D3—241no—
456C22×D3—241no—
457C22×D3—241no—
458C22×D3—241no—
459C22×D3—242no—
460C22×D3—242no—
461C22×D3C2×#6712yes—
462C3×Q8—22no—
463C3×Q8—21no—
464C3×Q8—21no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—32no—
468C3×Q8—41no—
469C3×Q8—62no—
470C3×Q8—61no—
471C3×D4—22no—
472C3×D4—21no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—32no—
477C3×D4—41no—
478C3×D4—44no—
479C3×D4—42no—
480C3×D4—42no—
481C3×D4—64no—
482C3×D4—64no—
483C3×D4—62no—
484C3×D4—61no—
485C3×D4—242no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—22no—
491C2×C3×C4—22no—
492C2×C3×C4—32no—
493C2×C3×C4—41no—
494C2×C3×C4—44no—
495C2×C3×C4—42no—
496C2×C3×C4—42no—
497C2×C3×C4—61no—
498C2×C3×C4—64no—
499C2×C3×C4—62no—
500C2×C3×C4—62no—
501C2×C3×C4—62no—
502C2×C3×C4—241no—
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4D3×D412yes—
505C2×C3×C4D3×D412yes—
506C2×C3×C4D3×D412yes—
507C2×C3×C4C2×#6711yescharacteristic
508C2×C3×C4C2×#6712yes—
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—24no—
512#67—24no—
513#67—68no—
514#67—68no—
515#67—82no—
516C2×Dic3—21no—
517C2×Dic3—22no—
518C2×Dic3—81no—
519C2×Dic3C2×#6712yes—
520D12—22no—
521D12—21no—
522D12—34no—
523D12—34no—
524D12—64no—
525D12—68no—
526D12—68no—
527D12—64no—
528D12—64no—
529D12—62no—
530D12—62no—
531D12—122no—
532D12—124no—
533D12C2×#6712yes—
534C4×D3—24no—
535C4×D3—22no—
536C4×D3—22no—
537C4×D3—68no—
538C4×D3—68no—
539Dic6—22no—
540Dic6—21no—
541Dic6C2×#6712yes—
542C3×C8—61no—
543C3×C8—61no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—64no—
547C3⋊C8—62no—
548C3⋊C8—62no—
549C2×C32—22no—
550C2×C32—81no—
551C2×C32C2×#12011yescharacteristic
552C2×C32#57611yescharacteristic
553C2×C32#57711yescharacteristic
554C3⋊D3—44no—
555C3×D3—42no—
556C3×D3—42no—
557C24—182no—
558C24—181no—
559#41—22no—
560#41—22no—
561#41—34no—
562#41—62no—
563#41—62no—
564#41—62no—
565#41—184no—
566#41—184no—
567#41—188no—
568C2×Q8—31no—
569C2×Q8—31no—
570C2×Q8C2×D3211yescharacteristic
571C2×D4—21no—
572C2×D4—32no—
573C2×D4—31no—
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—62no—
577C2×D4—92no—
578C2×D4—94no—
579C2×D4—182no—
580C2×D4—184no—
581C2×D4—184no—
582C2×D4—188no—
583C2×D4—182no—
584C2×D4—1816no—
585C2×D4—181no—
586C2×D4—182no—
587C2×D4C2×D3211yescharacteristic
588C22×C4—21no—
589C22×C4—32no—
590C22×C4—61no—
591C22×C4—61no—
592C22×C4—182no—
593C22×C4C2×D3211yescharacteristic
594Q16—62no—
595SD16—62no—
596SD16—62no—
597SD16—184no—
598D8—62no—
599D8—184no—
600M16—182no—
601C2×C8—31no—
602C2×C8—31no—
603C2×C8—62no—
604C2×C8—92no—
605C4⋊C4—32no—
606C4⋊C4—62no—
607C4⋊C4—61no—
608C22⋊C4—62no—
609C22⋊C4—62no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—22no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—42no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—62no—
626C22×C3—62no—
627C22×C3—62no—
628C22×C3—62no—
629C22×C3—81no—
630C22×C3—81no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3#93712yes—
634C22×C3#93712yes—
635C22×C3C2×D3×D411yescharacteristic
636C22×C3C22×#6711yescharacteristic
637C2×D3—22no—
638C2×D3—22no—
639C2×D3—22no—
640C2×D3—22no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—64no—
644C2×D3—64no—
645C2×D3—124no—
646C2×D3—122no—
647C2×D3—122no—
648C2×D3—122no—
649C2×D3—122no—
650C2×D3—242no—
651C2×D3—242no—
652C2×D3—248no—
653C2×D3—248no—
654C2×D3—244no—
655C2×D3—244no—
656C2×D3—248no—
657C3×C4—21no—
658C3×C4—21no—
659C3×C4—22no—
660C3×C4—42no—
661C3×C4—41no—
662C3×C4—41no—
663C3×C4—62no—
664C3×C4—62no—
665C3×C4—122no—
666C3×C4#93712yes—
667C3×C4#93712yes—
668C3×C4C2×D3×D411yescharacteristic
669C3×C4C2×D3×D411yescharacteristic
670C3×C4C2×D3×D411yescharacteristic
671C3×C4C22×#6711yescharacteristic
672Dic3—22no—
673Dic3—22no—
674Dic3—42no—
675C32#301211yescharacteristic, complemented, Sylow
676C23—21no—
677C23—32no—
678C23—61no—
679C23—188no—
680C23—182no—
681C23—184no—
682C23—721no—
683C23—721no—
684C23—722no—
685C23—722no—
686C23D3×#6711yescharacteristic
687Q8—21no—
688Q8—21no—
689Q8—32no—
690Q8—61no—
691Q8—62no—
692D4—21no—
693D4—21no—
694D4—32no—
695D4—42no—
696D4—64no—
697D4—64no—
698D4—61no—
699D4—62no—
700D4—94no—
701D4—188no—
702D4—188no—
703D4—182no—
704D4—184no—
705D4—242no—
706C2×C4—21no—
707C2×C4—32no—
708C2×C4—42no—
709C2×C4—61no—
710C2×C4—62no—
711C2×C4—62no—
712C2×C4—64no—
713C2×C4—62no—
714C2×C4—188no—
715C2×C4—241no—
716C2×C4D3×#6712yes—
717C2×C4D3×#6711yescharacteristic
718C2×C4#381112yes—
719C2×C4C22×D3211yescharacteristic
720C8—61no—
721C8—61no—
722C8—182no—
723C2×C3—22no—
724C2×C3—22no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—42no—
729C2×C3—82no—
730C2×C3—81no—
731C2×C3—81no—
732C2×C3—122no—
733C2×C3—122no—
734C2×C3#576911yescharacteristic
735C2×C3#577011yescharacteristic
736C2×C3C2×#93711yescharacteristic
737C2×C3C2×#93711yescharacteristic
738C2×C3#583511yescharacteristic
739C2×C3#583711yescharacteristic
740D3—42no—
741D3—42no—
742D3—124no—
743D3—124no—
744D3—244no—
745C22—21no—
746C22—21no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—62no—
751C22—62no—
752C22—62no—
753C22—62no—
754C22—121no—
755C22—121no—
756C22—184no—
757C22—362no—
758C22—362no—
759C22—724no—
760C22—728no—
761C22#6398312yes—
762C22C2×D3×#6711yescharacteristic
763C4—41no—
764C4—62no—
765C4—62no—
766C4—122no—
767C4#6398312yes—
768C4C2×D3×#6711yescharacteristic
769C4C2×#381111yescharacteristic
770C3—21no—
771C3#8342411yescharacteristic, complemented
772C3#8391211yescharacteristic, complemented
773C2—22no—
774C2—81no—
775C2—122no—
776C2—122no—
777C2—364no—
778C2#1059545611yescharacteristic
779C2#1059545711yescharacteristic
780C2C2×#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×#64308C2semidirect
2. C2×#64158C2semidirect
3. C3×#5833C2semidirect
4. C2×C3×#950C2semidirect
5. #10591657C2semidirect
6. #10591651C2semidirect
7. #10591521C2semidirect
8. #10591515C2semidirect
9. C2×#63564C2semidirect
10. #10591087C2semidirect
11. #10591070C2semidirect
14. C2×C32×#41C22semidirect
26. C2×#3755C22semidirect
27. C2×#3753C22semidirect
28. C2×#3748C22semidirect
30. C3×#946C22semidirect
31. C2×C3×#216C22semidirect
32. C2×C3×#215C22semidirect
34. C3×#938C22semidirect
35. C2×C3×#214C22semidirect
36. C2×C3×#213C22semidirect
38. C2×C3×C4⋊Dic3C22semidirect
40. C22×C3×C3⋊C8C22semidirect
41. #63565C22semidirect
42. #63564C22semidirect
43. #63564C22semidirect
44. #63562C22semidirect
45. (C2×D3)⋊(C3⋊C8)C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
51. #5833D3semidirect
52. C2×#950D3semidirect
81. C2×C4⋊(C3⋊D3)D4semidirect
90. C3×#235D4semidirect
127. C2×C3×#41C2×D3semidirect
128. C2×C3×#41C2×D3semidirect
164. #946C2×D3semidirect
165. C2×#216C2×D3semidirect
169. C2×#215C2×D3semidirect
171. #938C2×D3semidirect
172. C2×#214C2×D3semidirect
176. C2×#213C2×D3semidirect
178. C2×C4⋊Dic3C2×D3semidirect
183. C22×C3⋊C8C2×D3semidirect
314. #235#67semidirect
407. C2×#41D32semidirect
675. C32#3012semidirect
771. C3#83424semidirect
772. C3#83912semidirect

Maximal subgroups

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

subgroupindex
C2×#643082
C2×#641582
C3×#58332
C2×C3×#9502
#105916572
#105916512
#105915212
#105915152
C2×#635642
#105910872
#105910702
#839123
#834243