Finite Group Databasebeta

← #11888037

Subgroups — #11888037

Order 1152.

851 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594841C211yesmaximal, characteristic, complemented
2#10594834C211yesmaximal, characteristic
3#10592812C211yesmaximal, characteristic, complemented
4C3×#5116C211yesmaximal, characteristic, complemented
5C3×C8×#67C211yesmaximal, characteristic, complemented
6#10591184C211yesmaximal, characteristic, complemented
7#10591127C211yesmaximal, characteristic, complemented
8#10590966C211yesmaximal, characteristic, complemented
9#10590890C211yesmaximal, characteristic, complemented
10#10590848C211yesmaximal, characteristic, complemented
11#10590800C211yesmaximal, characteristic, complemented
12#10590792C211yesmaximal, characteristic, complemented
13#10590764C211yesmaximal, characteristic, complemented
14#10590708C211yesmaximal, characteristic, complemented
15#10590690C211yesmaximal, characteristic, complemented
16#80776—31nomaximal
17#79442—31nomaximal
18C2×#3828C2211yescharacteristic
19C2×#3799C2211yescharacteristic
20C22×C32×C8C2211yescharacteristic
21#64135C2211yescharacteristic
22C3×C4×#67C2211yescharacteristic
23C3×#924C2211yescharacteristic
24C3×#924C2211yescharacteristic
25C2×C3×Dic12C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27#63975—21no—
28#63959—21no—
29#63958—21no—
30#63956—21no—
31#63918C2211yescharacteristic
32#63894C2211yescharacteristic
33#63883—21no—
34#63866C2211yescharacteristic
35#63862—21no—
36#63857C2211yescharacteristic
37#63856C2211yescharacteristic
38#63853—21no—
39Dic3×Dic6C2211yescharacteristic
40#63841C2211yescharacteristic
41#63838—21no—
42C2×#3719C2211yescharacteristic
43C2×#3717C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63643C2211yescharacteristic
47#63643C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C8×Dic3C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63564C2211yescharacteristic
61#5641—31no—
62#5631—31no—
63#5551—31no—
64#5542—31no—
65C3×#467—31no—
66C3×C8×D4—31no—
67#5187—31no—
68#5182—31no—
69#5116—31no—
70#5116D311yescharacteristic, complemented
71#5113—31no—
72#5113—31no—
73#5113—31no—
74#5113—61no—
75C8×#67D311yescharacteristic, complemented
76#5047—31no—
77#5045—31no—
78#4890—31no—
79#4888—31no—
80#4849—31no—
81#4846—31no—
82#4813—31no—
83#4804—31no—
84#4792—31no—
85#4788—31no—
86#4733—31no—
87#4733—31no—
88#4723—31no—
89#4723—31no—
90C4×#204—31no—
91#4681—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#638—21no—
94#3828—22no—
95#3828—41no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C4×C3⋊D3—21no—
98C2×#634C2311yescharacteristic
99C2×C3×#67D411yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×#624—21no—
107#3799—22no—
108#3799—41no—
109C2×C32×C8—41no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112#3757—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4×C3⋊Dic3—21no—
116C3×#217—21no—
117C3×#217—21no—
118C3×#217D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—41no—
129C3×D3×C8—41no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136#3722—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140Dic32—21no—
141Dic32—21no—
142#3719—41no—
143#3717—22no—
144#3302—91noSylow
145C2×#239—31no—
146C2×#235—31no—
147C2×#235—31no—
148C2×#235—31no—
149C2×#235—61no—
150C2×C3×Q16—31no—
151C22×C3×C8—21no—
152C22×C3×C8—31no—
153C22×C3×C8C2×D311yescharacteristic
154C22×C3×C8C2×D311yescharacteristic
155C3×C22⋊Q8—31no—
156C3×C22⋊Q8—31no—
157C3×C4×D4—31no—
158#946—31no—
159Q8×Dic3—31no—
160#944—31no—
161C2×#216—31no—
162C2×#215—31no—
163#938—61no—
164#936—61no—
165C4×#67C2×D311yescharacteristic
166#926—31no—
167#926—31no—
168#926—31no—
169#926—61no—
170#924—31no—
171#924—31no—
172#924C2×D311yescharacteristic
173#924C2×D311yescharacteristic
174C2×Dic12—31no—
175C2×Dic12C2×D311yescharacteristic
176C2×#204—31no—
177C2×D3×C8C2×D311yescharacteristic
178#898—61no—
179#897—31no—
180#894—61no—
181#893—31no—
182#892—31no—
183D3×C4⋊C4—61no—
184D3×C4⋊C4—61no—
185#888—31no—
186#887—61no—
187#887—61no—
188#885—61no—
189#884—61no—
190#883—61no—
191#883—61no—
192#883—61no—
193#879—61no—
194#879—61no—
195#879—61no—
196C4×D12—31no—
197#869—31no—
198#869—31no—
199C4×Dic6—31no—
200C3×#107—31no—
201C3×C4⋊C8—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×C22⋊C8—31no—
205C3×C22⋊C8—31no—
206C3×C4×C8—31no—
207#835—31no—
208#835—31no—
209#830C2×D311yescharacteristic
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—61no—
216#821—61no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818C2×D311yescharacteristic
220#817—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816—61no—
229#816—61no—
230#816C2×D311yescharacteristic
231#816C2×D311yescharacteristic
232Dic3⋊C8C2×D311yescharacteristic
233C8×Dic3C2×D311yescharacteristic
234#810—31no—
235#809—31no—
236#808—31no—
237#807—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3⋊D3—21no—
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245#638—42no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)#4112yes—
251C4×C3⋊D3—42no—
252#634—21no—
253#634—21no—
254C3×#67—22no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#627—42no—
269#626—42no—
270#624—42no—
271#624—42no—
272C32×C8—21no—
273C32×C8—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#556—91no—
277#547—91no—
278#487—91no—
279#485—91no—
280#485—91no—
281#474—91no—
282#467—31no—
283#467—91no—
284#462—91no—
285#452—91no—
286#452—91no—
287C4×SD16—91no—
288C8×D4—31no—
289#416—91no—
290#416—91no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×D4—31no—
294C22×C3×C4—21no—
295C22×C3×C4—31no—
296C22×C3×C4C22×D311yescharacteristic
297C22×C3×C4C22×D311yescharacteristic
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—121no—
302C2×#67D1211yescharacteristic
303#239—62no—
304#239—121no—
305#235—62no—
306#235—62no—
307#235—62no—
308#235—64no—
309#235—121no—
310#235—121no—
311#235—121no—
312#235—122no—
313C2×D12—31no—
314C2×D12—31no—
315C2×D12—61no—
316C2×D12—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—121no—
324C2×C4×D3C22×D311yescharacteristic
325C2×Dic6—31no—
326C2×Dic6—31no—
327C2×Dic6—61no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×Dic6C22×D311yescharacteristic
331C2×Dic6C22×D311yescharacteristic
332C3×Q16—121no—
333C2×C3×C8—21no—
334C2×C3×C8—21no—
335C2×C3×C8—31no—
336C2×C3×C8—31no—
337C2×C3×C8—41no—
338C2×C3×C8—41no—
339C2×C3×C8—42no—
340C2×C3×C8—121no—
341C2×C3×C8C22×D311yescharacteristic
342C2×C3×C8C22×D311yescharacteristic
343C2×C3×C8C22×D311yescharacteristic
344C2×C3×C8C22×D311yescharacteristic
345C3×C4⋊C4—31no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—31no—
348C3×C4⋊C4—61no—
349C3×C4⋊C4—61no—
350C3×C22⋊C4—31no—
351C3×C22⋊C4—31no—
352C3×C22⋊C4—61no—
353C3×C22⋊C4—61no—
354C3×C42—31no—
355#217—21no—
356#217—21no—
357#217—61no—
358#217—61no—
359#217—61no—
360#217—61no—
361#217—61no—
362#217—121no—
363#217D1211yescharacteristic
364#216—121no—
365#215—62no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—61no—
371(C2×D3)⋊C4D1211yescharacteristic
372C4⋊Dic3—31no—
373C4⋊Dic3—31no—
374C4⋊Dic3—31no—
375C4⋊Dic3—31no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3—61no—
379C4⋊Dic3—61no—
380C4⋊Dic3—61no—
381C4⋊Dic3—61no—
382C4⋊Dic3—61no—
383C4⋊Dic3C22×D311yescharacteristic
384C4⋊Dic3C22×D311yescharacteristic
385Dic3⋊C4—21no—
386Dic3⋊C4—21no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—61no—
392Dic3⋊C4—61no—
393Dic3⋊C4—61no—
394Dic3⋊C4D1211yescharacteristic
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—121no—
402C4×Dic3C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405Dic12—41no—
406Dic12—121no—
407#204—62no—
408D3×C8—41no—
409C22×C32—21no—
410C22×C32—21no—
411C22×C32—21no—
412C22×C32C22×D411yescharacteristic
413C2×C3⋊D3—22no—
414C2×C3⋊D3—41no—
415C2×C3⋊D3—41no—
416C2×C3×D3—21no—
417C2×C3×D3—21no—
418C2×C3×D3—21no—
419C32×C4—21no—
420C32×C4C2×#4111yescharacteristic
421C32×C4H(5,𝔽2)11yescharacteristic
422C3⋊Dic3—41no—
423C3⋊Dic3—41no—
424C3⋊Dic3—41no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3#13512yes—
432C2×#41—91no—
433C2×#41—91no—
434C2×Q16—31no—
435C2×Q16—91no—
436C2×SD16—91no—
437C22×C8—31no—
438C22×C8D3211yescharacteristic
439C4⋊Q8—91no—
440C4⋊Q8—91no—
441#126—181no—
442#126—181no—
443#124—181no—
444#123—181no—
445#123—181no—
446C22⋊Q8—31no—
447C22⋊Q8—31no—
448C22⋊Q8—91no—
449C22⋊Q8—91no—
450#121—181no—
451C4×Q8—91no—
452C4×Q8—181no—
453C4×D4—31no—
454C4×D4—91no—
455#117—91no—
456#117—91no—
457C2×C4⋊C4—181no—
458#107—31no—
459#107—91no—
460#106—91no—
461C4⋊C8—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469#102—91no—
470#102—91no—
471#102—91no—
472C22⋊C8—31no—
473C22⋊C8—31no—
474C4×C8—31no—
475C23×C3—21no—
476C23×C3—31no—
477C23×C3C2×D1211yescharacteristic
478C23×C3D3×D411yescharacteristic
479C22×D3—61no—
480C22×D3—61no—
481C22×D3—121no—
482C22×D3C2×D1211yescharacteristic
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×D4—62no—
488C2×C3×C4—22no—
489C2×C3×C4—22no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4C2×D1211yescharacteristic
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509#67—22no—
510#67—122no—
511#67—122no—
512#67—122no—
513#67—124no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3—121no—
527C2×Dic3C2×D1211yescharacteristic
528C2×Dic3C2×D1211yescharacteristic
529C2×Dic3C2×D1211yescharacteristic
530D12—32no—
531D12—32no—
532D12—62no—
533D12—61no—
534D12—61no—
535D12—121no—
536D12—122no—
537C4×D3—21no—
538C4×D3—21no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—124no—
545C4×D3—122no—
546Dic6—21no—
547Dic6—21no—
548Dic6—21no—
549Dic6—21no—
550Dic6—62no—
551Dic6—61no—
552Dic6—61no—
553Dic6—61no—
554Dic6—61no—
555Dic6—121no—
556Dic6—122no—
557Dic6—122no—
558C3×C8—21no—
559C3×C8—21no—
560C3×C8—21no—
561C3×C8—21no—
562C3×C8—41no—
563C3×C8—41no—
564C3×C8—61no—
565C3×C8—61no—
566C3⋊C8—21no—
567C3⋊C8—21no—
568C2×C32—41no—
569C2×C32#54611yescharacteristic
570C2×C32C2×#13511yescharacteristic
571C2×C32#57811yescharacteristic
572C3⋊D3—42no—
573C3×D3—41no—
574#41—182no—
575#41—182no—
576#41—361no—
577#41—361no—
578C2×Q8—31no—
579C2×Q8—31no—
580C2×Q8—91no—
581C2×Q8—181no—
582C2×D4—31no—
583C2×D4—91no—
584C2×D4—181no—
585C2×D4—181no—
586C22×C4—31no—
587C22×C4—181no—
588C22×C4—181no—
589C22×C4—181no—
590C22×C4C2×D3211yescharacteristic
591Q16—121no—
592Q16—361no—
593SD16—182no—
594C2×C8—31no—
595C2×C8—31no—
596C2×C8—41no—
597C2×C8—121no—
598C2×C8C2×D3211yescharacteristic
599C2×C8C2×D3211yescharacteristic
600C4⋊C4—31no—
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—61no—
604C4⋊C4—61no—
605C4⋊C4—91no—
606C4⋊C4—91no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4—181no—
611C4⋊C4—181no—
612C4⋊C4—181no—
613C22⋊C4—31no—
614C22⋊C4—31no—
615C22⋊C4—61no—
616C22⋊C4—61no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C22⋊C4—181no—
620C22⋊C4—181no—
621C22⋊C4—181no—
622C42—31no—
623C42—181no—
624C42—181no—
625C42—181no—
626C22×C3—22no—
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3—21no—
633C22×C3—21no—
634C22×C3—41no—
635C22×C3—41no—
636C22×C3—61no—
637C22×C3—61no—
638C22×C3—61no—
639C22×C3C22×D1211yescharacteristic
640C22×C3C2×D3×D411yescharacteristic
641C2×D3—21no—
642C2×D3—21no—
643C2×D3—21no—
644C2×D3—62no—
645C2×D3—62no—
646C2×D3—122no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—121no—
650C2×D3—121no—
651C2×D3—241no—
652C2×D3—241no—
653C3×C4—22no—
654C3×C4—21no—
655C3×C4—21no—
656C3×C4—21no—
657C3×C4—21no—
658C3×C4—32no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—121no—
662C3×C4—121no—
663C3×C4—121no—
664C3×C4—121no—
665C3×C4#100411yescharacteristic
666C3×C4#100411yescharacteristic
667C3×C4D3×#4111yescharacteristic
668C3×C4D3×#4111yescharacteristic
669Dic3—21no—
670Dic3—21no—
671Dic3—41no—
672Dic3—41no—
673Dic3—41no—
674Dic3—41no—
675Dic3—122no—
676Dic3—121no—
677Dic3—121no—
678Dic3—121no—
679Dic3—121no—
680Dic3—121no—
681Dic3—121no—
682Dic3—241no—
683Dic3—241no—
684Dic3#90412yes—
685C32#330211yescharacteristic, complemented, Sylow
686C23—31no—
687C23—181no—
688C23D3×D1211yescharacteristic
689Q8—61no—
690Q8—61no—
691Q8—61no—
692Q8—61no—
693Q8—181no—
694Q8—181no—
695Q8—362no—
696D4—62no—
697D4—92no—
698D4—181no—
699D4—362no—
700D4—362no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—31no—
704C2×C4—31no—
705C2×C4—31no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—61no—
709C2×C4—61no—
710C2×C4—61no—
711C2×C4—61no—
712C2×C4—181no—
713C2×C4—181no—
714C2×C4—181no—
715C2×C4—362no—
716C2×C4—362no—
717C2×C4—362no—
718C2×C4D3×D1211yescharacteristic
719C2×C4C22×D3211yescharacteristic
720C8—21no—
721C8—21no—
722C8—61no—
723C8—61no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—42no—
728C2×C3—41no—
729C2×C3—41no—
730C2×C3—121no—
731C2×C3#555411yescharacteristic
732C2×C3#561011yescharacteristic
733C2×C3C2×#90411yescharacteristic
734C2×C3#575311yescharacteristic
735C2×C3#576611yescharacteristic
736C2×C3D3×#13511yescharacteristic
737D3—41no—
738D3—122no—
739D3—122no—
740D3—242no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—61no—
745C22—61no—
746C22—61no—
747C22—182no—
748C22—361no—
749C22—361no—
750C22C2×D3×D1211yescharacteristic
751C4—21no—
752C4—32no—
753C4—61no—
754C4—61no—
755C4—121no—
756C4—121no—
757C4—121no—
758C4—121no—
759C4—361no—
760C4—361no—
761C4—361no—
762C4#6430611yescharacteristic
763C4#6433011yescharacteristic
764C3—21no—
765C3#7944211yescharacteristic, complemented
766C3#8077611yescharacteristic, complemented
767C2—41no—
768C2—121no—
769C2—362no—
770C2D3×#90411yescharacteristic
771C2#1059469111yescharacteristic
772C2#1059507511yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
prime radical#10594834C2
hypercenterC22×C8D32
hypocenterC32#3302
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. #10594841C2semidirect
3. #10592812C2semidirect
4. C3×#5116C2semidirect
5. C3×C8×#67C2semidirect
6. #10591184C2semidirect
7. #10591127C2semidirect
8. #10590966C2semidirect
9. #10590890C2semidirect
10. #10590848C2semidirect
11. #10590800C2semidirect
12. #10590792C2semidirect
13. #10590764C2semidirect
14. #10590708C2semidirect
15. #10590690C2semidirect
70. #5116D3semidirect
75. C8×#67D3semidirect
685. C32#3302semidirect
765. C3#79442semidirect
766. C3#80776semidirect

Maximal subgroups

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

subgroupindex
#105948412
#105948342
#105928122
C3×#51162
C3×C8×#672
#105911842
#105911272
#105909662
#105908902
#105908482
#105908002
#105907922
#105907642
#105907082
#105906902
#807763
#794423