Finite Group Databasebeta

← #11864137

Subgroups — #11864137

Order 1152.

1691 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3795C211yesmaximal, characteristic, complemented
2D3×#930C211yesmaximal, characteristic, complemented
3C2×#63795C212yesmaximal, complemented
4#10592437C211yesmaximal, characteristic, complemented
5C3×#4732C211yesmaximal, characteristic, complemented
6C3×#4726C211yesmaximal, characteristic, complemented
7#10591181C211yesmaximal, characteristic, complemented
8#10591162C211yesmaximal, characteristic, complemented
9#10590968C212yesmaximal, complemented
10#10590962C212yesmaximal, complemented
11#10590670C212yesmaximal, complemented
12#80003—31nomaximal
13#78639—31nomaximal
14C22×#634C2211yescharacteristic, complemented
15C22×C3×D12C2211yescharacteristic, complemented
16C22×C3×C4×D3C2211yescharacteristic
17C2×D3×#67—21no—
18C22×#625—21no—
19C22×D3×Dic3—21no—
20C2×D3×D12C2211yescharacteristic, complemented
21C2×#3795—21no—
22C2×#3795—21no—
23C2×#3795—28no—
24C2×#3795C2212yes—
25C2×#3795C2212yescomplemented
26#64139C2211yescharacteristic
27C2×#3744C2212yescomplemented
28C3×#930C2211yescharacteristic
29C2×C3×D24C2212yescomplemented
30C2×C3×ΓL(1,𝔽25)C2212yescomplemented
31#63978—21no—
32D3×(C2×D3)⋊C4—21no—
33#63909C2211yescharacteristic, complemented
34#63908C2211yescharacteristic, complemented
35#63906—21no—
36D3×C4⋊Dic3C2211yescharacteristic, complemented
37C2×#3716C2212yescomplemented
38C2×#3714C2212yescomplemented
39#63795—28no—
40C32×C22⋊C8C2211yescharacteristic, complemented
41#63643C2212yescomplemented
42C3×#830C2211yescharacteristic, complemented
43C3×#821C2212yescomplemented
44C3×(C2×D3)⋊C8C2212yescomplemented
45#63567C2212yescomplemented
46#63563C2212yescomplemented
47C22×#237—31no—
48C22×#235—31no—
49C2×#930—31no—
50C2×#911—32no—
51C2×#908—32no—
52D3×#121—31no—
53C3×#447—31no—
54C3×#407—31no—
55#5217—31no—
56#5158—32no—
57#5133—32no—
58#5040—31no—
59#4781—32no—
60#4771—32no—
61#4738—31no—
62#4738—31no—
63#4738—31no—
64#4738—61no—
65#4734—32no—
66#4734—32no—
67#4732—31no—
68#4732D311yescharacteristic, complemented
69#4726D311yescharacteristic, complemented
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×D32—21no—
73C22×C32×C4C2311yescharacteristic
74C2×#638—21no—
75C22×C3⋊Dic3—21no—
76C2×C4⋊(C3⋊D3)C2311yescharacteristic
77C2×#634—21no—
78C2×#634—24no—
79C2×#634C2312yes—
80C2×C3×#67—21no—
81C22×C3×Dic3D411yescharacteristic
82C2×C3×D12—21no—
83C2×C3×D12—24no—
84C2×C3×D12C2311yescharacteristic
85C2×C3×D12C2312yes—
86C2×C3×C4×D3—24no—
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91D3×#67—44no—
92C2×#626—21no—
93C2×#626—21no—
94C2×#625—28no—
95C2×#625—22no—
96C2×#625—22no—
97C2×#625—21no—
98C2×D3×Dic3—28no—
99C2×D3×Dic3—22no—
100C2×D3×Dic3—22no—
101C2×D3×Dic3—21no—
102D3×D12—24no—
103#3795—28no—
104#3795—28no—
105#3795—24no—
106#3795—24no—
107#3795—24no—
108#3795D418yescomplemented
109C2×C32×C8C2312yes—
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3744—24no—
113C3×(C2×D3)⋊C4—21no—
114C3×C4⋊Dic3C2311yescharacteristic
115C2×C3×C3⋊C8C2312yes—
116C3×D24—24no—
117C3×ΓL(1,𝔽25)—24no—
118Dic3⋊Dic3—21no—
119#3722—21no—
120(C2×D3)⋊Dic3—21no—
121#3716—24no—
122#3714—24no—
123#3006—91noSylow
124C22×C3×D4—31no—
125C23×C3×C4—31no—
126C22×#67—61no—
127C22×#67—61no—
128C22×#67—61no—
129C23×Dic3—61no—
130C2×#237—32no—
131C2×#237—32no—
132C2×#237—68no—
133C2×#237—61no—
134C2×#237—61no—
135C2×D3×D4—31no—
136C2×D3×D4—61no—
137C2×#235—32no—
138C2×#235—32no—
139C2×#235—68no—
140C2×#235—61no—
141C2×#235—61no—
142C22×D12—31no—
143C22×D12C2×D311yescharacteristic, complemented
144C22×C4×D3—61no—
145C22×C4×D3C2×D311yescharacteristic
146C22×Dic6—31no—
147C22×Dic6—31no—
148C22×Dic6—61no—
149C2×C3×D8—32no—
150C2×C3×M16—32no—
151C3×#121—31no—
152#939—61no—
153#938—31no—
154C2×#214—32no—
155C2×#213—32no—
156#930—31no—
157#930—31no—
158#930—31no—
159#930—31no—
160#930—61no—
161#930—61no—
162#930—61no—
163#930C2×D311yescharacteristic
164C2×(C2×D3)⋊C4—61no—
165C2×C4⋊Dic3—31no—
166#911—68no—
167#908—68no—
168C2×D24—32no—
169C2×D24C2×D312yescomplemented
170C2×#204—32no—
171C2×#204—32no—
172C2×#204—32no—
173C2×#204—62no—
174C2×ΓL(1,𝔽25)C2×D312yescomplemented
175#895—31no—
176D3×C4⋊C4—31no—
177#884—61no—
178D3×C22⋊C4—61no—
179C3×#102—32no—
180C3×C22⋊C8—21no—
181C3×C22⋊C8—31no—
182C3×C22⋊C8—32no—
183C3×C22⋊C8C2×D311yescharacteristic, complemented
184C3×C22⋊C8C2×D311yescharacteristic, complemented
185#832—32no—
186#830C2×D311yescharacteristic, complemented
187#821—32no—
188#821C2×D312yescomplemented
189(C2×D3)⋊C8C2×D312yescomplemented
190#816—32no—
191#816—32no—
192#816—32no—
193#816—62no—
194#810—32no—
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3—21no—
197C22×C3×D3—24no—
198C22×C3×D3—22no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—21no—
202C22×C3×D3—41no—
203C22×C3×D3—42no—
204C22×C3×D3—42no—
205C22×C3×D3C2×D411yescharacteristic
206C22×C3×D3C2×D411yescharacteristic
207C2×D32—42no—
208C2×D32—42no—
209C2×D32—42no—
210C2×C32×C4—22no—
211C2×C32×C4C2×D411yescharacteristic
212C2×C32×C4C2411yescharacteristic
213#638—42no—
214C2×C3⋊Dic3—24no—
215C2×C3⋊Dic3—22no—
216C2×C3⋊Dic3—21no—
217C4⋊(C3⋊D3)—22no—
218#634—24no—
219#634—22no—
220#634C2×D414yescomplemented
221C3×#67—42no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—21no—
224C2×C3×Dic3C2×D411yescharacteristic
225C2×C3×Dic3C2×D411yescharacteristic
226C3×D12—24no—
227C3×D12—22no—
228C3×D12—22no—
229C3×D12C2×D414yescomplemented
230C3×C4×D3—22no—
231C3×C4×D3—22no—
232C3×C4×D3—22no—
233C3×C4×D3C2×D414yes—
234#626—42no—
235#626—42no—
236#625—28no—
237#625—28no—
238#625—42no—
239D3×Dic3—28no—
240D3×Dic3—28no—
241D3×Dic3—42no—
242C32×C8—22no—
243C3×C3⋊C8—22no—
244C22×#41—91no—
245C2×AGL(1,ℤ/8)—92no—
246C2×#121—91no—
247#449—92no—
248#449—92no—
249#448—91no—
250#448—91no—
251#447—31no—
252#447—91no—
253#417—92no—
254#407—31no—
255C24×C3—31no—
256C24×C3—61no—
257C23×D3—21no—
258C23×D3—61no—
259C23×D3—61no—
260C23×D3D1211yescharacteristic
261C2×C3×D4—32no—
262C2×C3×D4—31no—
263C2×C3×D4—64no—
264C2×C3×D4—61no—
265C2×C3×D4—61no—
266C22×C3×C4—21no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—31no—
270C22×C3×C4—31no—
271C22×C3×C4—31no—
272C22×C3×C4—64no—
273C22×C3×C4C22×D311yescharacteristic
274C22×C3×C4C22×D311yescharacteristic
275C2×#67—21no—
276C2×#67—61no—
277C2×#67—62no—
278C2×#67—62no—
279C2×#67—68no—
280C2×#67—68no—
281C2×#67—62no—
282C2×#67—62no—
283C2×#67—61no—
284C2×#67—61no—
285C2×#67—61no—
286C2×#67—61no—
287C2×#67—61no—
288C2×#67—121no—
289C2×#67—124no—
290C22×Dic3—68no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294C22×Dic3—62no—
295C22×Dic3—62no—
296C22×Dic3—121no—
297C22×Dic3D1211yescharacteristic
298#237—38no—
299#237—64no—
300#237—64no—
301#237—68no—
302#237—68no—
303#237—64no—
304D3×D4—64no—
305D3×D4—124no—
306#235—38no—
307#235—64no—
308#235—64no—
309#235—68no—
310#235—68no—
311#235—64no—
312C2×D12—21no—
313C2×D12—24no—
314C2×D12—31no—
315C2×D12—31no—
316C2×D12—61no—
317C2×D12—64no—
318C2×D12—61no—
319C2×D12—61no—
320C2×D12C22×D311yescharacteristic
321C2×D12C22×D312yes—
322C2×C4×D3—24no—
323C2×C4×D3—62no—
324C2×C4×D3—62no—
325C2×C4×D3—68no—
326C2×C4×D3—61no—
327C2×C4×D3D1211yescharacteristic
328C2×C4×D3D1211yescharacteristic
329C2×C4×D3C22×D311yescharacteristic
330C2×C4×D3C22×D311yescharacteristic
331C2×Dic6—32no—
332C2×Dic6—32no—
333C2×Dic6—62no—
334C2×Dic6—64no—
335C2×Dic6—64no—
336C2×Dic6—61no—
337C2×Dic6—61no—
338C2×Dic6—124no—
339C2×Dic6—121no—
340C3×D8—64no—
341C3×M16—64no—
342C2×C3×C8—22no—
343C2×C3×C8—32no—
344C2×C3×C8C22×D312yes—
345C2×C3×C8C22×D312yes—
346C3×C4⋊C4—31no—
347C3×C22⋊C4—61no—
348#217—61no—
349#214—64no—
350#213—64no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—121no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—61no—
364C2×C3⋊C8C22×D312yes—
365D24—24no—
366D24—64no—
367#204—64no—
368#204—64no—
369#204—64no—
370#204—124no—
371ΓL(1,𝔽25)—24no—
372C22×C32—21no—
373C22×C32—21no—
374C22×C32AGL(1,ℤ/8)12yescomplemented
375C22×C32C22×D411yescharacteristic
376C2×C3⋊D3—41no—
377C2×C3⋊D3—41no—
378C2×C3⋊D3—41no—
379C2×C3×D3—21no—
380C2×C3×D3—21no—
381C2×C3×D3—24no—
382C2×C3×D3—21no—
383C2×C3×D3—21no—
384C2×C3×D3—21no—
385C2×C3×D3—44no—
386C2×C3×D3—48no—
387C2×C3×D3—42no—
388C2×C3×D3—42no—
389C2×C3×D3—41no—
390C2×C3×D3—41no—
391C2×C3×D3—41no—
392C2×C3×D3#12012yes—
393D32—84no—
394C32×C4—21no—
395C32×C4C22×D412yes—
396C3⋊Dic3—24no—
397C3⋊Dic3—41no—
398C3×Dic3—21no—
399C3×Dic3—41no—
400C3×Dic3#12012yes—
401C2×#41—92no—
402C2×#41—92no—
403C2×#41—181no—
404C2×#41—181no—
405C2×#41—188no—
406C22×Q8—91no—
407C22×D4—31no—
408C22×D4—91no—
409C22×D4—181no—
410C22×D4—181no—
411C23×C4—31no—
412C23×C4—181no—
413AGL(1,ℤ/8)—188no—
414C2×SD16—92no—
415C2×SD16—92no—
416C2×D8—32no—
417C2×D8—92no—
418C2×M16—32no—
419#121—31no—
420#121—91no—
421#121—91no—
422#121—91no—
423#121—181no—
424#121—181no—
425C2×C4⋊C4—91no—
426C2×C22⋊C4—181no—
427#103—92no—
428#103—92no—
429#102—32no—
430#102—92no—
431C22⋊C8—31no—
432C22⋊C8—32no—
433C22⋊C8D3211yescharacteristic, complemented
434C23×C3—21no—
435C23×C3—31no—
436C23×C3—31no—
437C23×C3—62no—
438C23×C3—64no—
439C23×C3—62no—
440C23×C3—62no—
441C23×C3—61no—
442C23×C3—121no—
443C23×C3—122no—
444C23×C3—122no—
445C23×C3C2×D1211yescharacteristic
446C23×C3D3×D411yescharacteristic
447C22×D3—24no—
448C22×D3—22no—
449C22×D3—22no—
450C22×D3—22no—
451C22×D3—21no—
452C22×D3—41no—
453C22×D3—42no—
454C22×D3—42no—
455C22×D3—61no—
456C22×D3—61no—
457C22×D3—121no—
458C22×D3—122no—
459C22×D3—122no—
460C22×D3—122no—
461C22×D3—122no—
462C22×D3—122no—
463C22×D3—122no—
464C22×D3C2×D1211yescharacteristic
465C22×D3C2×D1211yescharacteristic
466C3×D4—34no—
467C3×D4—64no—
468C3×D4—62no—
469C3×D4—62no—
470C3×D4—122no—
471C2×C3×C4—22no—
472C2×C3×C4—22no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—31no—
476C2×C3×C4—34no—
477C2×C3×C4—31no—
478C2×C3×C4—42no—
479C2×C3×C4—62no—
480C2×C3×C4—62no—
481C2×C3×C4—62no—
482C2×C3×C4—62no—
483C2×C3×C4—61no—
484C2×C3×C4C2×D1211yescharacteristic
485C2×C3×C4D3×D411yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487C2×C3×C4C23×D311yescharacteristic
488#67—42no—
489#67—68no—
490#67—68no—
491#67—68no—
492#67—68no—
493#67—122no—
494#67—122no—
495#67—122no—
496#67—122no—
497#67—122no—
498#67—122no—
499#67—242no—
500C2×Dic3—22no—
501C2×Dic3—21no—
502C2×Dic3—68no—
503C2×Dic3—64no—
504C2×Dic3—64no—
505C2×Dic3—62no—
506C2×Dic3—62no—
507C2×Dic3—68no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—122no—
511C2×Dic3—124no—
512C2×Dic3—121no—
513C2×Dic3—122no—
514C2×Dic3C2×D1211yescharacteristic
515C2×Dic3C2×D1211yescharacteristic
516D12—24no—
517D12—22no—
518D12—22no—
519D12—62no—
520D12—62no—
521D12—122no—
522D12—122no—
523D12—122no—
524D12D3×D414yescomplemented
525C4×D3—22no—
526C4×D3—22no—
527C4×D3—22no—
528C4×D3—68no—
529C4×D3—68no—
530C4×D3—122no—
531C4×D3D3×D414yes—
532Dic6—34no—
533Dic6—34no—
534Dic6—64no—
535Dic6—64no—
536Dic6—64no—
537Dic6—62no—
538Dic6—62no—
539Dic6—122no—
540Dic6—124no—
541C3×C8—22no—
542C3×C8—22no—
543C3×C8—42no—
544C3×C8—62no—
545C3⋊C8—22no—
546C2×C32—22no—
547C2×C32C2×#12011yescharacteristic
548C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
549C2×C32#57511yescharacteristic
550C3⋊D3—81no—
551C3×D3—22no—
552C3×D3—41no—
553C3×D3—44no—
554C3×D3—81no—
555C24—31no—
556C24—61no—
557C24—181no—
558#41—98no—
559#41—184no—
560#41—184no—
561#41—184no—
562#41—188no—
563#41—188no—
564C2×Q8—92no—
565C2×Q8—184no—
566C2×Q8—181no—
567C2×D4—32no—
568C2×D4—31no—
569C2×D4—64no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—91no—
573C2×D4—184no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—182no—
577C2×D4—182no—
578C2×D4—188no—
579C2×D4—181no—
580C2×D4—181no—
581C2×D4—364no—
582C22×C4—31no—
583C22×C4—31no—
584C22×C4—31no—
585C22×C4—31no—
586C22×C4—31no—
587C22×C4—64no—
588C22×C4—182no—
589C22×C4—182no—
590C22×C4—188no—
591C22×C4—181no—
592C22×C4—181no—
593C22×C4C2×D3211yescharacteristic
594SD16—184no—
595SD16—184no—
596D8—64no—
597D8—184no—
598M16—64no—
599C2×C8—32no—
600C2×C8C2×D3212yes—
601C4⋊C4—31no—
602C4⋊C4—91no—
603C4⋊C4—181no—
604C22⋊C4—61no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—22no—
614C22×C3—32no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—64no—
620C22×C3—61no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—124no—
624C22×C3—128no—
625C22×C3—122no—
626C22×C3—122no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3#90812yescomplemented
631C22×C3#91112yescomplemented
632C22×C3C22×D1211yescharacteristic
633C22×C3C2×D3×D411yescharacteristic
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—21no—
637C2×D3—21no—
638C2×D3—21no—
639C2×D3—24no—
640C2×D3—44no—
641C2×D3—48no—
642C2×D3—42no—
643C2×D3—42no—
644C2×D3—41no—
645C2×D3—41no—
646C2×D3—41no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—121no—
650C2×D3—121no—
651C2×D3—121no—
652C2×D3—121no—
653C2×D3—241no—
654C2×D3—241no—
655C2×D3—241no—
656C2×D3—244no—
657C2×D3—244no—
658C2×D3#88212yes—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—22no—
662C3×C4—32no—
663C3×C4—41no—
664C3×C4—61no—
665C3×C4—121no—
666C3×C4C2×D3×D412yes—
667C3×C4C2×D3×D412yes—
668Dic3—21no—
669Dic3—41no—
670Dic3—64no—
671Dic3—64no—
672Dic3—124no—
673Dic3—121no—
674Dic3—121no—
675Dic3—241no—
676Dic3#88212yes—
677C32#300611yescharacteristic, complemented, Sylow
678C23—31no—
679C23—31no—
680C23—62no—
681C23—64no—
682C23—62no—
683C23—62no—
684C23—61no—
685C23—121no—
686C23—122no—
687C23—122no—
688C23—181no—
689C23—362no—
690C23—362no—
691C23—362no—
692C23D3×D1211yescharacteristic
693Q8—94no—
694Q8—184no—
695Q8—182no—
696D4—34no—
697D4—64no—
698D4—62no—
699D4—62no—
700D4—122no—
701D4—188no—
702D4—188no—
703D4—182no—
704D4—362no—
705D4—362no—
706D4—362no—
707D4—362no—
708C2×C4—22no—
709C2×C4—31no—
710C2×C4—34no—
711C2×C4—31no—
712C2×C4—62no—
713C2×C4—62no—
714C2×C4—62no—
715C2×C4—62no—
716C2×C4—61no—
717C2×C4—188no—
718C2×C4—188no—
719C2×C4—184no—
720C2×C4—182no—
721C2×C4—181no—
722C2×C4—362no—
723C2×C4D3×D1211yescharacteristic
724C2×C4C22×D3211yescharacteristic
725C8—22no—
726C8—62no—
727C2×C3—22no—
728C2×C3—22no—
729C2×C3—21no—
730C2×C3—21no—
731C2×C3—21no—
732C2×C3—42no—
733C2×C3—62no—
734C2×C3—124no—
735C2×C3—121no—
736C2×C3—241no—
737C2×C3C2×#88211yescharacteristic
738C2×C3D3×#12011yescharacteristic
739C2×C3C2×#90811yescharacteristic
740C2×C3#574811yescharacteristic
741C2×C3C2×#91111yescharacteristic
742C2×C3#577311yescharacteristic
743D3—22no—
744D3—41no—
745D3—44no—
746D3—81no—
747D3—241no—
748D3—241no—
749D3—481no—
750C22—21no—
751C22—21no—
752C22—32no—
753C22—61no—
754C22—61no—
755C22—61no—
756C22—61no—
757C22—61no—
758C22—64no—
759C22—124no—
760C22—128no—
761C22—122no—
762C22—122no—
763C22—121no—
764C22—121no—
765C22—121no—
766C22—361no—
767C22—361no—
768C22—361no—
769C22—724no—
770C22#6379512yescomplemented
771C22C2×D3×D1211yescharacteristic
772C4—21no—
773C4—32no—
774C4—61no—
775C4—121no—
776C4—184no—
777C4—361no—
778C4D32×D412yes—
779C3—21no—
780C3#7863911yescharacteristic, complemented
781C3#8000311yescharacteristic, complemented
782C2—22no—
783C2—62no—
784C2—121no—
785C2—124no—
786C2—241no—
787C2—721no—
788C2D3×#88211yescharacteristic
789C2C2×#6379511yescharacteristic
790C2#1059471211yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
hypercenterC22⋊C8D32
hypocenterC32#3006
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C22×#3795C2semidirect
2. D3×#930C2semidirect
3. C2×#63795C2semidirect
4. #10592437C2semidirect
5. C3×#4732C2semidirect
6. C3×#4726C2semidirect
7. #10591181C2semidirect
8. #10591162C2semidirect
9. #10590968C2semidirect
10. #10590962C2semidirect
11. #10590670C2semidirect
14. C22×#634C22semidirect
15. C22×C3×D12C22semidirect
20. C2×D3×D12C22semidirect
25. C2×#3795C22semidirect
27. C2×#3744C22semidirect
29. C2×C3×D24C22semidirect
30. C2×C3×ΓL(1,𝔽25)C22semidirect
33. #63909C22semidirect
34. #63908C22semidirect
36. D3×C4⋊Dic3C22semidirect
37. C2×#3716C22semidirect
38. C2×#3714C22semidirect
40. C32×C22⋊C8C22semidirect
41. #63643C22semidirect
42. C3×#830C22semidirect
43. C3×#821C22semidirect
44. C3×(C2×D3)⋊C8C22semidirect
45. #63567C22semidirect
46. #63563C22semidirect
68. #4732D3semidirect
69. #4726D3semidirect
108. #3795D4semidirect
143. C22×D12C2×D3semidirect
169. C2×D24C2×D3semidirect
174. C2×ΓL(1,𝔽25)C2×D3semidirect
183. C3×C22⋊C8C2×D3semidirect
184. C3×C22⋊C8C2×D3semidirect
186. #830C2×D3semidirect
188. #821C2×D3semidirect
189. (C2×D3)⋊C8C2×D3semidirect
220. #634C2×D4semidirect
229. C3×D12C2×D4semidirect
374. C22×C32AGL(1,ℤ/8)semidirect
433. C22⋊C8D32semidirect
524. D12D3×D4semidirect
630. C22×C3#908semidirect
631. C22×C3#911semidirect
677. C32#3006semidirect
770. C22#63795semidirect
780. C3#78639semidirect
781. C3#80003semidirect

Maximal subgroups

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

subgroupindex
C22×#37952
D3×#9302
C2×#637952
#105924372
C3×#47322
C3×#47262
#105911812
#105911622
#105909682
#105909622
#105906702
#800033
#786393