Finite Group Databasebeta

← #11867159

Subgroups — #11867159

Order 1152.

1309 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64147C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic, complemented
3#10595034C211yesmaximal, characteristic, complemented
4C2×#63818C211yesmaximal, characteristic, complemented
5C3×#5215C211yesmaximal, characteristic, complemented
6#10591465C212yesmaximal, complemented
7#10591464C212yesmaximal, complemented
8#10591455C212yesmaximal, complemented
9#10591454C212yesmaximal, complemented
10#10591131C211yesmaximal, characteristic, complemented
11#10591088C211yesmaximal, characteristic, complemented
12#83950—31nomaximal
13#78930—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C22×#638—21no—
16C22×C4×C3⋊D3C2211yescharacteristic
17C2×C3×#235C2211yescharacteristic
18C2×#3757—21no—
19#64147—21no—
20#64147—21no—
21#64147C2212yes—
22#64147C2212yes—
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×C3×#214C2212yescomplemented
25C3×#932—24no—
26C2×C3×#213C2212yescomplemented
27C3×#926C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30#63981—21no—
31#63962—21no—
32#63916C2211yescharacteristic, complemented
33#63916C2211yescharacteristic, complemented
34C4×#626—21no—
35C4×#626—21no—
36#63871C2211yescharacteristic, complemented
37#63871C2211yescharacteristic, complemented
38C2×#3712C2212yescomplemented
39#63818—24no—
40C2×#3710C2212yescomplemented
41C3×#832C2212yescomplemented
42C3×#832C2212yescomplemented
43#63575C2212yescomplemented
44#63573C2212yescomplemented
45#63566C2212yescomplemented
46#63563C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48#5828—31no—
49C2×#938—31no—
50C2×#938—31no—
51C2×#938—61no—
52C2×#932D311yescharacteristic, complemented
53C2×D3×M16—31no—
54C2×D3×M16—31no—
55#5524—31no—
56C3×#418—31no—
57#5232—31no—
58#5215D311yescharacteristic, complemented
59#5174—32no—
60#5171—32no—
61#5159—32no—
62#5157—32no—
63#5133—31no—
64#5121—31no—
65#4995—31no—
66#4782—32no—
67#4780—32no—
68#4778—32no—
69#4775—32no—
70C24×C32—21no—
71C23×C3⋊D3D411yescharacteristic
72C2×C32×D4—22no—
73C2×C32×D4—21no—
74C2×C32×D4—22no—
75C2×C32×D4C2312yes—
76C22×C32×C4C2311yescharacteristic
77C2×#638—22no—
78C2×#638—22no—
79C2×#638—44no—
80C22×C3⋊Dic3—21no—
81C22×C3⋊Dic3D411yescharacteristic
82C2×C4×C3⋊D3—22no—
83C2×C4×C3⋊D3—22no—
84C2×C4×C3⋊D3D411yescharacteristic
85C2×C4×C3⋊D3D411yescharacteristic
86C2×C4×C3⋊D3C2311yescharacteristic
87C2×C4×C3⋊D3C2311yescharacteristic
88C2×C3×#67—21no—
89C3×#235—22no—
90C3×#235—22no—
91C2×C3×D12C2311yescharacteristic
92C2×C3×C4×D3—21no—
93C2×C3×Dic6C2311yescharacteristic
94C2×#626—21no—
95C2×#626—21no—
96#3757—22no—
97#3757—22no—
98C4⋊(C3⋊Dic3)—21no—
99C4⋊(C3⋊Dic3)C2312yes—
100C3×#217—21no—
101C3×#214—24no—
102C3×#213—24no—
103C3×C4⋊Dic3C2311yescharacteristic
104C3×C4⋊Dic3C2311yescharacteristic
105C3×C4×Dic3—21no—
106C3×#208—22no—
107C3×#208D414yescomplemented
108C2×C3×C3⋊C8C2312yes—
109C2×C3×C3⋊C8C2312yes—
110Dic3⋊Dic3—21no—
111Dic3⋊Dic3—21no—
112#3722—21no—
113#3722—21no—
114(C2×D3)⋊Dic3—21no—
115(C2×D3)⋊Dic3—21no—
116#3712—24no—
117#3710—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—21no—
121C22×C3×D4C2×D311yescharacteristic
122C22×C3×D4C2×D311yescharacteristic
123C22×#67—61no—
124C22×#67—61no—
125C22×#67—62no—
126C2×#235C2×D311yescharacteristic
127C22×C4×D3—31no—
128C22×C4×D3—31no—
129C22×C4×D3—61no—
130C3×AGL(1,ℤ/8)—64no—
131C2×C3×SD16—32no—
132C2×C3×D8—32no—
133C2×C3×M16—31no—
134C2×C3×M16—31no—
135C3×#117—31no—
136C2×#217—61no—
137C2×#217—61no—
138C2×#217—62no—
139#946—31no—
140#946—31no—
141#938—32no—
142#938—32no—
143#938—32no—
144#938—32no—
145#938—31no—
146#938—31no—
147#938—62no—
148#938—62no—
149#938—61no—
150#938—61no—
151#938—61no—
152#938—61no—
153#938—62no—
154#938—62no—
155#937—61no—
156#935—61no—
157C2×#214C2×D312yescomplemented
158#932—24no—
159C2×#213C2×D312yescomplemented
160C4×#67—61no—
161C4×#67—61no—
162#926C2×D311yescharacteristic
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—61no—
166C2×#208C2×D311yescharacteristic
167C2×#208C2×D311yescharacteristic
168D3×M16—64no—
169D3×M16—64no—
170C2×ΓL(1,𝔽25)—32no—
171C2×ΓL(1,𝔽25)—32no—
172C2×D3×C8—32no—
173C2×D3×C8—32no—
174#897—31no—
175#897—31no—
176#895—31no—
177#895—31no—
178#886—61no—
179#882—61no—
180C4×D12—61no—
181C4×D12—61no—
182C3×#102—32no—
183C3×#102—32no—
184#835—32no—
185#832—32no—
186#832C2×D312yescomplemented
187#832C2×D312yescomplemented
188#821—32no—
189#818—32no—
190#817—32no—
191#816—32no—
192#808—32no—
193#807—32no—
194C23×C32—22no—
195C23×C32—42no—
196C23×C32—42no—
197C23×C32—42no—
198C23×C32C2×D411yescharacteristic
199C22×C3⋊D3—22no—
200C22×C3⋊D3—22no—
201C22×C3⋊D3—41no—
202C22×C3⋊D3C2×D411yescharacteristic
203C22×C3⋊D3C2×D411yescharacteristic
204C22×C3×D3—21no—
205C32×D4—22no—
206C32×D4—22no—
207C32×D4—42no—
208C2×C32×C4C2×D411yescharacteristic
209C2×C32×C4C2×D412yes—
210C2×C32×C4#4112yes—
211C2×C32×C4C2411yescharacteristic
212#638—44no—
213#638—44no—
214C2×C3⋊Dic3—22no—
215C2×C3⋊Dic3—22no—
216C2×C3⋊Dic3—42no—
217C2×C3⋊Dic3C2×D411yescharacteristic
218C2×C3⋊Dic3C2×D411yescharacteristic
219C4×C3⋊D3—22no—
220C4×C3⋊D3—22no—
221C4×C3⋊D3—21no—
222C4×C3⋊D3—21no—
223C4×C3⋊D3—21no—
224C4×C3⋊D3—21no—
225C3×#67—42no—
226C2×C3×Dic3—21no—
227C2×C3×Dic3—21no—
228C2×C3×Dic3—21no—
229C3×D12—21no—
230C3×D12—21no—
231C3×C4×D3—42no—
232C3×Dic6—21no—
233C3×Dic6—21no—
234#626—42no—
235#626—42no—
236C3×C3⋊C8—22no—
237C3×C3⋊C8C2×D414yescomplemented
238C2×AGL(1,ℤ/8)—31no—
239C22×M16—91no—
240#525—91no—
241C2×#121—91no—
242#469—92no—
243#468—92no—
244#466—92no—
245#465—92no—
246#428—91no—
247#418—31no—
248#417—91no—
249C24×C3—22no—
250C24×C3—21no—
251C24×C3—21no—
252C23×D3—31no—
253C23×D3—31no—
254C23×D3—61no—
255C3×#41—62no—
256C3×#41—62no—
257C2×C3×Q8—31no—
258C2×C3×D4—22no—
259C2×C3×D4—22no—
260C2×C3×D4—22no—
261C2×C3×D4—21no—
262C2×C3×D4—21no—
263C2×C3×D4—22no—
264C2×C3×D4—22no—
265C2×C3×D4—22no—
266C2×C3×D4—31no—
267C2×C3×D4—42no—
268C2×C3×D4—42no—
269C2×C3×D4—61no—
270C2×C3×D4C22×D312yes—
271C2×C3×D4C22×D312yes—
272C22×C3×C4—21no—
273C22×C3×C4—61no—
274C22×C3×C4C22×D311yescharacteristic
275C22×C3×C4C22×D311yescharacteristic
276C2×#67—21no—
277C2×#67—61no—
278C2×#67—61no—
279C2×#67—62no—
280C2×#67—62no—
281C2×#67—62no—
282C2×#67—62no—
283C2×#67—64no—
284C2×#67—64no—
285C2×#67—124no—
286C2×#67—124no—
287C2×#67—128no—
288C22×Dic3—31no—
289C22×Dic3—31no—
290C22×Dic3—61no—
291C22×Dic3—62no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294#235—22no—
295#235—22no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—21no—
300C2×C4×D3—31no—
301C2×C4×D3—31no—
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—31no—
306C2×C4×D3—31no—
307C2×C4×D3—31no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—62no—
313C2×C4×D3—62no—
314C2×C4×D3—62no—
315C2×C4×D3—62no—
316C2×C4×D3—122no—
317C2×C4×D3—122no—
318C2×Dic6C22×D311yescharacteristic
319C3×SD16—64no—
320C3×D8—64no—
321C3×M16—34no—
322C3×M16—62no—
323C2×C3×C8—32no—
324C2×C3×C8—32no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C22⋊C4—61no—
328C3×C42—61no—
329#217—21no—
330#217—61no—
331#217—61no—
332#217—62no—
333#217—62no—
334#217—62no—
335#217—62no—
336#217—64no—
337#217—64no—
338#214—24no—
339#213—24no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346C4⋊Dic3—32no—
347C4⋊Dic3—32no—
348C4⋊Dic3—62no—
349C4⋊Dic3—61no—
350C4⋊Dic3—61no—
351C4⋊Dic3—62no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3C22×D311yescharacteristic
355C4⋊Dic3C22×D311yescharacteristic
356Dic3⋊C4—61no—
357Dic3⋊C4—61no—
358C4×Dic3—21no—
359#208—22no—
360#208#6714yescomplemented
361C2×C3⋊C8C22×D312yes—
362C2×C3⋊C8C22×D312yes—
363ΓL(1,𝔽25)—64no—
364ΓL(1,𝔽25)—64no—
365D3×C8—64no—
366D3×C8—64no—
367C22×C32—21no—
368C22×C32—21no—
369C22×C32—42no—
370C22×C32—42no—
371C22×C32—42no—
372C22×C32—84no—
373C22×C32#12112yes—
374C22×C32C22×D411yescharacteristic
375C2×C3⋊D3—21no—
376C2×C3⋊D3—21no—
377C2×C3⋊D3—21no—
378C2×C3⋊D3—21no—
379C2×C3⋊D3—21no—
380C2×C3⋊D3—44no—
381C2×C3⋊D3AGL(1,ℤ/8)12yescomplemented
382C2×C3×D3—41no—
383C2×C3×D3—41no—
384C2×C3×D3—41no—
385C32×C4#12112yes—
386C32×C4C22×D411yescharacteristic
387C32×C4C2×#4111yescharacteristic
388C3⋊Dic3—21no—
389C3⋊Dic3—21no—
390C3⋊Dic3—42no—
391C3×Dic3—41no—
392C3×Dic3—41no—
393C3×Dic3—41no—
394C2×#41—31no—
395C22×D4—181no—
396C22×D4D3211yescharacteristic
397C23×C4—91no—
398AGL(1,ℤ/8)—64no—
399C2×SD16—32no—
400C2×D8—32no—
401C2×M16—31no—
402C2×M16—31no—
403C2×M16—92no—
404C2×M16—184no—
405C22×C8—92no—
406#123—181no—
407C22⋊Q8—91no—
408C22⋊Q8—91no—
409#121—91no—
410#121—91no—
411#121—92no—
412#121—92no—
413#121—181no—
414#121—181no—
415#120—181no—
416C4×D4—181no—
417C4×D4—181no—
418#117—31no—
419C2×C4⋊C4—91no—
420C2×C22⋊C4—181no—
421#107—92no—
422#106—92no—
423#103—92no—
424#102—32no—
425#102—32no—
426#102—92no—
427C23×C3—24no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3—21no—
431C23×C3—44no—
432C23×C3—42no—
433C23×C3—42no—
434C23×C3—44no—
435C23×C3—44no—
436C23×C3—42no—
437C23×C3—42no—
438C23×C3—42no—
439C23×C3—42no—
440C23×C3—61no—
441C23×C3D3×D411yescharacteristic
442C23×C3D3×D411yescharacteristic
443C22×D3—21no—
444C22×D3—31no—
445C22×D3—31no—
446C22×D3—31no—
447C22×D3—31no—
448C22×D3—61no—
449C22×D3—61no—
450C22×D3—62no—
451C22×D3—62no—
452C22×D3—64no—
453C22×D3—62no—
454C22×D3—62no—
455C22×D3—122no—
456C22×D3—121no—
457C22×D3—121no—
458C22×D3—122no—
459C3×Q8—61no—
460C3×Q8—61no—
461C3×D4—22no—
462C3×D4—22no—
463C3×D4—22no—
464C3×D4—22no—
465C3×D4—42no—
466C3×D4—42no—
467C3×D4—44no—
468C3×D4—42no—
469C3×D4—42no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—122no—
473C2×C3×C4—21no—
474C2×C3×C4—22no—
475C2×C3×C4—22no—
476C2×C3×C4—21no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—122no—
481C2×C3×C4#23512yes—
482C2×C3×C4D3×D412yes—
483C2×C3×C4D3×D411yescharacteristic
484C2×C3×C4D3×D411yescharacteristic
485C2×C3×C4#23712yes—
486C2×C3×C4C2×#6712yes—
487C2×C3×C4C23×D311yescharacteristic
488C2×C3×C4C23×D311yescharacteristic
489#67—42no—
490#67—122no—
491#67—122no—
492#67—124no—
493#67—124no—
494#67—128no—
495#67—128no—
496#67—124no—
497#67—124no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—62no—
508C2×Dic3—62no—
509C2×Dic3—64no—
510C2×Dic3—62no—
511C2×Dic3—62no—
512C2×Dic3—122no—
513C2×Dic3—124no—
514C2×Dic3—122no—
515C2×Dic3—122no—
516D12—21no—
517D12—21no—
518D12—122no—
519D12—122no—
520C4×D3—42no—
521C4×D3—62no—
522C4×D3—62no—
523C4×D3—62no—
524C4×D3—62no—
525C4×D3—61no—
526C4×D3—61no—
527C4×D3—61no—
528C4×D3—61no—
529C4×D3—61no—
530C4×D3—61no—
531C4×D3—61no—
532C4×D3—61no—
533C4×D3—121no—
534C4×D3—121no—
535C4×D3—121no—
536C4×D3—121no—
537C4×D3—122no—
538C4×D3—122no—
539Dic6—21no—
540Dic6—21no—
541C3×C8—34no—
542C3×C8—62no—
543C3⋊C8—22no—
544C3⋊C8C2×#6714yescomplemented
545C2×C32—22no—
546C2×C32—82no—
547C2×C32C2×#12111yescharacteristic
548C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
549C2×C32#57511yescharacteristic
550C3⋊D3—22no—
551C3⋊D3—41no—
552C3×D3—81no—
553C24—21no—
554C24—91no—
555#41—62no—
556#41—62no—
557C2×Q8—31no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—31no—
562C2×D4—61no—
563C2×D4—181no—
564C2×D4—181no—
565C2×D4—182no—
566C2×D4—182no—
567C2×D4—364no—
568C2×D4C2×D3212yes—
569C22×C4—61no—
570C22×C4—91no—
571C22×C4—91no—
572C22×C4—91no—
573C22×C4—91no—
574C22×C4—91no—
575C22×C4—182no—
576C22×C4—182no—
577C22×C4—181no—
578C22×C4C2×D3211yescharacteristic
579SD16—64no—
580D8—64no—
581M16—34no—
582M16—62no—
583M16—184no—
584C2×C8—32no—
585C2×C8—32no—
586C2×C8—184no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—92no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—182no—
599C22⋊C4—182no—
600C42—61no—
601C22×C3—22no—
602C22×C3—22no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—22no—
609C22×C3—44no—
610C22×C3—44no—
611C22×C3—44no—
612C22×C3—42no—
613C22×C3—42no—
614C22×C3—42no—
615C22×C3—42no—
616C22×C3—42no—
617C22×C3—42no—
618C22×C3—88no—
619C22×C3—84no—
620C22×C3—84no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3#88412yes—
625C22×C3#93812yes—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—32no—
629C2×D3—32no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—62no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—62no—
639C2×D3—61no—
640C2×D3—61no—
641C2×D3—61no—
642C2×D3—61no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—124no—
650C2×D3—124no—
651C2×D3—128no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—22no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4#88412yes—
659C3×C4#93812yes—
660C3×C4C2×#23511yescharacteristic
661C3×C4C2×D3×D411yescharacteristic
662C3×C4C2×#23711yescharacteristic
663C3×C4C22×#6711yescharacteristic
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—121no—
672Dic3—121no—
673Dic3—124no—
674Dic3—122no—
675Dic3—122no—
676C32#305511yescharacteristic, complemented, Sylow
677C23—22no—
678C23—42no—
679C23—42no—
680C23—42no—
681C23—61no—
682C23—91no—
683C23—91no—
684C23—182no—
685C23—182no—
686C23—361no—
687C23#381111yescharacteristic
688Q8—61no—
689Q8—61no—
690D4—22no—
691D4—22no—
692D4—42no—
693D4—61no—
694D4—61no—
695D4—122no—
696D4—362no—
697D4—362no—
698D4—364no—
699D4—364no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—91no—
704C2×C4—91no—
705C2×C4—122no—
706C2×C4—182no—
707C2×C4—181no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—182no—
712C2×C4—182no—
713C2×C4—182no—
714C2×C4—362no—
715C2×C4#380412yes—
716C2×C4D3×#6712yes—
717C2×C4#381111yescharacteristic
718C2×C4C22×D3211yescharacteristic
719C8—34no—
720C8—62no—
721C2×C3—24no—
722C2×C3—22no—
723C2×C3—22no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—84no—
728C2×C3—82no—
729C2×C3—82no—
730C2×C3—241no—
731C2×C3C2×#88411yescharacteristic
732C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
733C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
734C2×C3#577311yescharacteristic
735C2×C3#577311yescharacteristic
736C2×C3C2×#93811yescharacteristic
737D3—62no—
738D3—62no—
739D3—81no—
740D3—122no—
741D3—122no—
742D3—121no—
743D3—121no—
744C22—21no—
745C22—21no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—84no—
750C22—92no—
751C22—121no—
752C22—121no—
753C22—121no—
754C22—181no—
755C22—181no—
756C22—181no—
757C22—181no—
758C22—181no—
759C22—364no—
760C22#6395812yes—
761C22C2×#381111yescharacteristic
762C4—121no—
763C4—121no—
764C4—121no—
765C4—181no—
766C4—181no—
767C4—362no—
768C4#6395812yes—
769C4C2×#380411yescharacteristic
770C4C2×D3×#6711yescharacteristic
771C3—21no—
772C3#7893011yescharacteristic, complemented
773C3#8395011yescharacteristic, complemented
774C2—22no—
775C2—82no—
776C2—182no—
777C2—241no—
778C2—361no—
779C2#1059510011yescharacteristic
780C2#1059510111yescharacteristic
781C2C2×#6395811yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
hypercenterC22×D4D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64147C2semidirect
2. C2×C3×#932C2semidirect
3. #10595034C2semidirect
4. C2×#63818C2semidirect
5. C3×#5215C2semidirect
6. #10591465C2semidirect
7. #10591464C2semidirect
8. #10591455C2semidirect
9. #10591454C2semidirect
10. #10591131C2semidirect
11. #10591088C2semidirect
24. C2×C3×#214C22semidirect
26. C2×C3×#213C22semidirect
32. #63916C22semidirect
33. #63916C22semidirect
36. #63871C22semidirect
37. #63871C22semidirect
38. C2×#3712C22semidirect
40. C2×#3710C22semidirect
41. C3×#832C22semidirect
42. C3×#832C22semidirect
43. #63575C22semidirect
44. #63573C22semidirect
45. #63566C22semidirect
46. #63563C22semidirect
52. C2×#932D3semidirect
58. #5215D3semidirect
107. C3×#208D4semidirect
157. C2×#214C2×D3semidirect
159. C2×#213C2×D3semidirect
186. #832C2×D3semidirect
187. #832C2×D3semidirect
237. C3×C3⋊C8C2×D4semidirect
360. #208#67semidirect
381. C2×C3⋊D3AGL(1,ℤ/8)semidirect
544. C3⋊C8C2×#67semidirect
676. C32#3055semidirect
772. C3#78930semidirect
773. C3#83950semidirect

Maximal subgroups

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

subgroupindex
C2×#641472
C2×C3×#9322
#105950342
C2×#638182
C3×#52152
#105914652
#105914642
#105914552
#105914542
#105911312
#105910882
#839503
#789303