Finite Group Databasebeta

← #11887833

Subgroups — #11887833

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594382C211yesmaximal, characteristic
2#10594333C211yesmaximal, characteristic, complemented
3#10592587C211yesmaximal, characteristic, complemented
4C3×#4882C211yesmaximal, characteristic, complemented
5C3×#4873C211yesmaximal, characteristic, complemented
6#10590965C211yesmaximal, characteristic, complemented
7#10590949C211yesmaximal, characteristic, complemented
8#10590863C211yesmaximal, characteristic, complemented
9#10590721C211yesmaximal, characteristic, complemented
10#10590611C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590544C211yesmaximal, characteristic, complemented
13#10590532C211yesmaximal, characteristic, complemented
14#10590525C211yesmaximal, characteristic, complemented
15#10590514C211yesmaximal, characteristic, complemented
16#81305—31nomaximal
17#79736—31nomaximal
18C2×#3796C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64106C2211yescharacteristic
21#64101C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C3×#895C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#887C2211yescharacteristic
26C3×#887C2211yescharacteristic
27C4×#626C2211yescharacteristic
28#63893—21no—
29Dic3×D12—21no—
30#63886—21no—
31#63871C2211yescharacteristic
32#63870—21no—
33#63869C2211yescharacteristic
34#63868—21no—
35#63860C2211yescharacteristic
36#63856C2211yescharacteristic
37#63855—21no—
38#63852—21no—
39#63850—21no—
40C2×#3719C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3710C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#107C2211yescharacteristic
45#63647C2211yescharacteristic
46#63643C2211yescharacteristic
47#63637C2211yescharacteristic
48#63635C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#809C2211yescharacteristic
55C3×#807C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59#63565C2211yescharacteristic
60#63563C2211yescharacteristic
61#5598—31no—
62#5581—31no—
63#5576—31no—
64#5513—31no—
65C3×#480—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5186—31no—
69#5041—31no—
70#5028—31no—
71#5022—31no—
72C2×#810—31no—
73#4888—31no—
74#4888—31no—
75#4888—61no—
76#4887—31no—
77#4882D311yescharacteristic, complemented
78#4877—31no—
79#4873D311yescharacteristic, complemented
80#4813—31no—
81#4807—31no—
82#4804—31no—
83D3×#103—31no—
84#4783—31no—
85#4772—31no—
86#4768—31no—
87#4767—31no—
88#4739—31no—
89#67⋊C8—31no—
90#4697—31no—
91C8×D12—31no—
92C2×C4×C3⋊D3C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#626—21no—
102C2×#626D411yescharacteristic
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3796—22no—
106#3796—41no—
107D3×Dic6—22no—
108D3×Dic6—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4×C3⋊Dic3—21no—
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135#3722D411yescharacteristic
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140#3719—41no—
141#3715—41no—
142#3710—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×#237—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C3×#121—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153C2×C3×C4⋊C4—31no—
154#946—31no—
155#946—31no—
156C2×#216—31no—
157C2×#215—31no—
158#939—61no—
159#936—31no—
160D4×Dic3—61no—
161C2×#214—31no—
162#929—61no—
163C4×#67—31no—
164#926—61no—
165#924—31no—
166C22×C3⋊C8—31no—
167C2×Dic12—31no—
168C2×Dic12C2×D311yescharacteristic
169C2×D3×C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8—31no—
172#898—61no—
173#897—31no—
174#897—31no—
175#897—31no—
176#897—61no—
177#897—61no—
178#895—61no—
179#895C2×D311yescharacteristic
180#894—61no—
181#892—31no—
182#892—31no—
183#892—61no—
184D3×C4⋊C4C2×D311yescharacteristic
185#890—31no—
186#889—61no—
187#889—61no—
188#887C2×D311yescharacteristic
189#887C2×D311yescharacteristic
190#885—61no—
191#878—61no—
192#876—61no—
193#875—31no—
194#875—61no—
195C4×D12—31no—
196C4×D12—61no—
197#872—61no—
198#870—31no—
199C3×#107—21no—
200C3×#107—31no—
201C3×#107C2×D311yescharacteristic
202C3×#107C2×D311yescharacteristic
203C3×#103—31no—
204C3×#103—31no—
205C3×#102—31no—
206C3×#102—31no—
207C3×C22⋊C8—31no—
208C3×C4×C8—31no—
209#835—31no—
210#835—31no—
211#832—31no—
212#821—31no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—61no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—61no—
223Dic3⋊C8—31no—
224C8×Dic3C2×D311yescharacteristic
225#810—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—61no—
230#810C2×D311yescharacteristic
231#810C2×D311yescharacteristic
232#809C2×D311yescharacteristic
233#808—31no—
234#808—31no—
235#808—61no—
236#807C2×D311yescharacteristic
237C4⋊(C3⋊C8)—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3—21no—
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4×C3⋊D3—21no—
248C4×C3⋊D3—21no—
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—42no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#626—42no—
270D3×Dic3—42no—
271D3×Dic3—42no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#552—91no—
277#548—91no—
278#488—91no—
279#485—91no—
280#480—31no—
281#479—91no—
282#467—91no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—31no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C2×#67—31no—
298C2×#67—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301#239—62no—
302#239—121no—
303D3×Q8—62no—
304D3×Q8—121no—
305#237—62no—
306#237—121no—
307C2×D12—21no—
308C2×D12—31no—
309C2×D12—61no—
310C2×D12C22×D311yescharacteristic
311C2×C4×D3—21no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—61no—
321C2×Dic6—62no—
322C2×Dic6—61no—
323C2×Dic6—61no—
324C2×Dic6—121no—
325C2×Dic6C22×D311yescharacteristic
326C2×Dic6C22×D311yescharacteristic
327C3×Q16—62no—
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347#217—31no—
348#217—61no—
349#217—61no—
350#217—61no—
351#216—121no—
352#215—121no—
353#214—121no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—121no—
368(C2×D3)⋊C4—121no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—121no—
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
381Dic3⋊C4—21no—
382Dic3⋊C4—31no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389C4×Dic3—21no—
390C4×Dic3—21no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—121no—
394C4×Dic3C22×D311yescharacteristic
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—121no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—22no—
402Dic12—121no—
403D3×C8—121no—
404D3×C8—121no—
405D3×C8—121no—
406C22×C32C22×D411yescharacteristic
407C2×C3⋊D3—21no—
408C2×C3⋊D3—21no—
409C2×C3⋊D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—41no—
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3#13512yes—
416C32×C4—41no—
417C32×C4—41no—
418C32×C4C2×#4111yescharacteristic
419C32×C4H(5,𝔽2)11yescharacteristic
420C3⋊Dic3—21no—
421C3⋊Dic3—41no—
422C3⋊Dic3—41no—
423C3×Dic3—22no—
424C3×Dic3—21no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C2×#41—91no—
430C22×Q8—91no—
431C2×Q16—31no—
432C2×Q16—91no—
433C2×SD16—91no—
434C22×C8—91no—
435C22×C8—91no—
436#126—181no—
437#125—91no—
438#125—181no—
439#124—91no—
440#124—181no—
441#123—181no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446#121—31no—
447#121—181no—
448C4×Q8—31no—
449C4×Q8—31no—
450C4×D4—91no—
451C4×D4—181no—
452#117—91no—
453#117—181no—
454C2×C4⋊C4—31no—
455#107—31no—
456#107D3211yescharacteristic
457#106—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—31no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#102—31no—
467#102—31no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—91no—
471C4×C8—31no—
472C23×C3—31no—
473C23×C3—61no—
474C22×D3—21no—
475C22×D3—31no—
476C22×D3—31no—
477C22×D3—61no—
478C22×D3D3×D411yescharacteristic
479C3×Q8—32no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—122no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—62no—
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—122no—
519C2×Dic3—122no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—21no—
524D12—21no—
525D12—42no—
526D12—62no—
527D12—122no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—42no—
531C4×D3—61no—
532C4×D3—61no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—121no—
536C4×D3—121no—
537C4×D3—122no—
538C4×D3—122no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—61no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—121no—
547Dic6—121no—
548Dic6—122no—
549Dic6—122no—
550Dic6#23512yes—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—41no—
554C3×C8—61no—
555C3×C8—61no—
556C3⋊C8—21no—
557C3⋊C8—21no—
558C3⋊C8—61no—
559C3⋊C8—61no—
560C3⋊C8—121no—
561C2×C32#54611yescharacteristic
562C2×C32C2×#13511yescharacteristic
563C2×C32#57811yescharacteristic
564C3⋊D3—41no—
565C3×D3—22no—
566C3×D3—81no—
567#41—182no—
568#41—361no—
569C2×Q8—31no—
570C2×Q8—31no—
571C2×Q8—91no—
572C2×Q8—181no—
573C2×Q8—182no—
574C2×Q8—361no—
575C2×D4—31no—
576C2×D4—61no—
577C2×D4—91no—
578C2×D4—181no—
579C22×C4—31no—
580C22×C4—61no—
581C22×C4—91no—
582C22×C4—181no—
583C22×C4—181no—
584Q16—62no—
585Q16—361no—
586SD16—361no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—91no—
590C2×C8—361no—
591C2×C8—361no—
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C42—31no—
616C42—61no—
617C42—61no—
618C42—181no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—61no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3#91212yes—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—62no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—61no—
653C3×C4—81no—
654C3×C4—81no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4C2×#23511yescharacteristic
658C3×C4D3×#4111yescharacteristic
659C3×C4#100911yescharacteristic
660C3×C4#100911yescharacteristic
661Dic3—21no—
662Dic3—21no—
663Dic3—21no—
664Dic3—22no—
665Dic3—41no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675Dic3—241no—
676C32#330011yescharacteristic, complemented, Sylow
677C23—31no—
678C23—61no—
679C23—91no—
680Q8—32no—
681Q8—61no—
682Q8—61no—
683Q8—61no—
684Q8—181no—
685Q8—181no—
686Q8—362no—
687D4—61no—
688D4—61no—
689D4—122no—
690D4—182no—
691D4—362no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—91no—
703C2×C4—122no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—181no—
708C2×C4—362no—
709C2×C4—362no—
710C2×C4C22×D3211yescharacteristic
711C8—21no—
712C8—61no—
713C8—61no—
714C8—181no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—62no—
719C2×C3—241no—
720C2×C3#555011yescharacteristic
721C2×C3#565411yescharacteristic
722C2×C3C2×#91211yescharacteristic
723C2×C3#576611yescharacteristic
724C2×C3D3×#13511yescharacteristic
725C2×C3#577911yescharacteristic
726D3—22no—
727D3—81no—
728D3—121no—
729D3—121no—
730D3—241no—
731C22—32no—
732C22—61no—
733C22—61no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—181no—
738C22—181no—
739C22—181no—
740C22D32×D411yescharacteristic
741C4—41no—
742C4—41no—
743C4—61no—
744C4—62no—
745C4—61no—
746C4—61no—
747C4—121no—
748C4—121no—
749C4—181no—
750C4—361no—
751C4—361no—
752C4D3×#23511yescharacteristic
753C4#6432011yescharacteristic
754C3—21no—
755C3#7973611yescharacteristic, complemented
756C3#8130511yescharacteristic, complemented
757C2—62no—
758C2—241no—
759C2—361no—
760C2#1059461911yescharacteristic
761C2D3×#91211yescharacteristic
762C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10594382C2
hypercenter#107D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
2. #10594333C2semidirect
3. #10592587C2semidirect
4. C3×#4882C2semidirect
5. C3×#4873C2semidirect
6. #10590965C2semidirect
7. #10590949C2semidirect
8. #10590863C2semidirect
9. #10590721C2semidirect
10. #10590611C2semidirect
11. D3×#810C2semidirect
12. #10590544C2semidirect
13. #10590532C2semidirect
14. #10590525C2semidirect
15. #10590514C2semidirect
77. #4882D3semidirect
79. #4873D3semidirect
676. C32#3300semidirect
755. C3#79736semidirect
756. C3#81305semidirect

Maximal subgroups

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

subgroupindex
#105943822
#105943332
#105925872
C3×#48822
C3×#48732
#105909652
#105909492
#105908632
#105907212
#105906112
D3×#8102
#105905442
#105905322
#105905252
#105905142
#813053
#797363