Finite Group Databasebeta

← #11882332

Subgroups — #11882332

Order 1152.

850 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595173C211yesmaximal, characteristic, complemented
2#10594367C211yesmaximal, characteristic, complemented
3#10592460C211yesmaximal, characteristic, complemented
4C3×#4787C211yesmaximal, characteristic, complemented
5C3×#4775C211yesmaximal, characteristic, complemented
6#10591498C211yesmaximal, characteristic, complemented
7#10591486C211yesmaximal, characteristic, complemented
8#10591431C211yesmaximal, characteristic, complemented
9#10590876C211yesmaximal, characteristic, complemented
10#10590829C211yesmaximal, characteristic, complemented
11#10590772C211yesmaximal, characteristic, complemented
12D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
13#10590542C211yesmaximal, characteristic, complemented
14#10590514C211yesmaximal, characteristic, complemented
15#10590496C211yesmaximal, characteristic, complemented
16#80703—31nomaximal
17#80512—31nomaximal
18C2×#3795—21no—
19D4×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic
21C3×#938C2211yescharacteristic
22C3×#936C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C2×C3×#213C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27C3×#895C2211yescharacteristic
28C3×#893C2211yescharacteristic
29#67⋊Dic3—21no—
30#63969—21no—
31#63957—21no—
32#63956—21no—
33#63914C2211yescharacteristic
34#63913—21no—
35#63908C2211yescharacteristic
36Dic3×D12C2211yescharacteristic
37#63885—21no—
38#63879—21no—
39C4×D3×Dic3C2211yescharacteristic
40#63869C2211yescharacteristic
41#63856C2211yescharacteristic
42#63843C2211yescharacteristic
43C2×#3715C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#102C2211yescharacteristic
46#63659C2211yescharacteristic
47#63644C2211yescharacteristic
48#63641C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#807C2211yescharacteristic
54#63575C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59#63563C2211yescharacteristic
60#63562C2211yescharacteristic
61#5680—31no—
62#5600—31no—
63#5596—31no—
64#5548—31no—
65C3×#466—31no—
66C3×#463—31no—
67#5171—31no—
68#5163—31no—
69#5157—31no—
70#5153—31no—
71#5150—31no—
72#5150—31no—
73#5114—31no—
74C2×Dic3⋊C8—31no—
75#5057—31no—
76#5041—31no—
77#5038—31no—
78#5009—31no—
79#4891—31no—
80#4875—31no—
81#4847—31no—
82D3×C4⋊C8—31no—
83#4807—31no—
84#4793—31no—
85#4787D311yescharacteristic, complemented
86#4775D311yescharacteristic, complemented
87#4763—31no—
88#4762—31no—
89#4761—31no—
90#4761—31no—
91#4761—61no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634—21no—
95C2×C3×#67—21no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#625—21no—
103C2×#625—21no—
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3D411yescharacteristic
107C2×D3×Dic3D411yescharacteristic
108#3795—44no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3757—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#217—21no—
118C3×#217—21no—
119C3×#217—21no—
120C3×#213—41no—
121C3×#213—41no—
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×#204—41no—
129C3×D3×C8—41no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3715—41no—
141D3×C3⋊C8—41no—
142#3247—91noSylow
143C2×#237—61no—
144C2×#235—61no—
145C2×C3×SD16—31no—
146C2×C3×D8—31no—
147C2×C3×D8—31no—
148C22×C3×C8—31no—
149C3×#124—31no—
150C3×#121—31no—
151C3×#121—31no—
152C3×C4×D4—31no—
153#946—31no—
154Q8×Dic3—31no—
155C2×#215—31no—
156#940—31no—
157#940—31no—
158#939—61no—
159#938—31no—
160#938C2×D311yescharacteristic
161#936C2×D311yescharacteristic
162#935—61no—
163D4×Dic3—31no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—61no—
167D4×Dic3—61no—
168C2×#214—31no—
169C2×#213C2×D311yescharacteristic
170C2×#213C2×D311yescharacteristic
171#930—31no—
172C4×#67—61no—
173#924—31no—
174C2×C4×Dic3—31no—
175C22×C3⋊C8—31no—
176C2×#204C2×D311yescharacteristic
177C2×D3×C8—31no—
178C2×D3×C8C2×D311yescharacteristic
179#895C2×D311yescharacteristic
180#893C2×D311yescharacteristic
181#890—31no—
182#888—31no—
183#888—31no—
184#888—61no—
185#887—31no—
186#885—61no—
187#885—61no—
188#884—61no—
189#883—61no—
190#67⋊C4—61no—
191#67⋊C4—61no—
192#879—61no—
193#879—61no—
194#877—61no—
195#877—61no—
196C4×D12—31no—
197C42×D3—31no—
198#870—31no—
199C3×#107—31no—
200C3×C4⋊C8—31no—
201C3×#103—31no—
202C3×#102—21no—
203C3×#102—31no—
204C3×#102C2×D311yescharacteristic
205C3×#102C2×D311yescharacteristic
206#835—31no—
207#832—31no—
208#832—31no—
209#832—31no—
210#832—31no—
211#832—31no—
212#832—61no—
213#821—31no—
214#821—31no—
215#821C2×D311yescharacteristic
216#818—31no—
217#817—31no—
218#817—31no—
219#817—61no—
220#816—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227Dic3⋊C8C2×D311yescharacteristic
228#810C2×D311yescharacteristic
229#809—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807—31no—
234#807C2×D311yescharacteristic
235C4⋊(C3⋊C8)—31no—
236C23×C32—21no—
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C22×C3×D3C2×D411yescharacteristic
240C32×D4—21no—
241C32×D4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—42no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249#634—42no—
250C3×#67—42no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—42no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—42no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266#625—42no—
267#625—42no—
268#625—42no—
269D3×Dic3—22no—
270D3×Dic3—22no—
271D3×Dic3—42no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#532—91no—
277#529—91no—
278#478—91no—
279#478—91no—
280#477—91no—
281#476—91no—
282#466—31no—
283#466—91no—
284#465—91no—
285#465—91no—
286#463—31no—
287#463—91no—
288#460—91no—
289#459—91no—
290C2×C4⋊C8—91no—
291C2×C3×Q8—31no—
292C2×C3×D4—21no—
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4C22×D311yescharacteristic
298C2×C3×D4C22×D311yescharacteristic
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C2×#67—21no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C2×#67—61no—
308C22×Dic3—31no—
309C22×Dic3—31no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312C22×Dic3—61no—
313C22×Dic3—121no—
314#237—124no—
315#235—124no—
316C2×D12—21no—
317C2×D12C22×D311yescharacteristic
318C2×D12C22×D311yescharacteristic
319C2×C4×D3—21no—
320C2×C4×D3—31no—
321C2×C4×D3—31no—
322C2×C4×D3—61no—
323C2×C4×D3C22×D311yescharacteristic
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—121no—
327C2×Dic6C22×D311yescharacteristic
328C3×SD16—121no—
329C3×D8—121no—
330C3×D8—121no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8—121no—
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—21no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346C3×C42—31no—
347#217—21no—
348#217—21no—
349#217—21no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—61no—
354#217—61no—
355#217—121no—
356#215—121no—
357#214—121no—
358#213—41no—
359#213—41no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—121no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8—121no—
397C2×C3⋊C8C22×D311yescharacteristic
398C2×C3⋊C8C22×D311yescharacteristic
399#204—41no—
400D3×C8—41no—
401D3×C8—121no—
402C22×C32—41no—
403C22×C32—41no—
404C22×C32—41no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C2×C3×D3—41no—
414C2×C3×D3AGL(1,ℤ/8)12yes—
415C32×C4—41no—
416C32×C4H(5,𝔽2)11yescharacteristic
417C32×C42−1+411yescharacteristic
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3⋊Dic3#13512yes—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C2×#41—181no—
428C2×SD16—31no—
429C2×SD16—91no—
430C2×D8—31no—
431C2×D8—31no—
432C22×C8—31no—
433C22×C8—91no—
434C4⋊Q8—91no—
435#127—91no—
436#126—181no—
437#125—91no—
438#124—31no—
439#124—181no—
440#123—181no—
441C22⋊Q8—91no—
442#121—31no—
443#121—31no—
444#121—91no—
445#121—181no—
446C4×Q8—91no—
447C4×D4—31no—
448C4×D4—91no—
449C4×D4—91no—
450C4×D4—181no—
451C4×D4—181no—
452#117—181no—
453C2×C42—91no—
454#107—31no—
455#107—91no—
456#106—91no—
457#106—91no—
458C4⋊C8—31no—
459C4⋊C8—91no—
460C4⋊C8—91no—
461C4⋊C8—91no—
462#103—31no—
463#103—91no—
464#102—31no—
465#102—91no—
466#102—91no—
467#102—91no—
468#102—91no—
469#102D3211yescharacteristic
470C23×C3—21no—
471C23×C3—21no—
472C23×C3—31no—
473C23×C3—41no—
474C23×C3—61no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3—21no—
478C22×D3D3×D411yescharacteristic
479C3×Q8—61no—
480C3×Q8—61no—
481C3×D4—22no—
482C3×D4—21no—
483C3×D4—21no—
484C3×D4—21no—
485C3×D4—21no—
486C3×D4—41no—
487C3×D4—61no—
488C3×D4—61no—
489C3×D4—61no—
490C3×D4—61no—
491C3×D4—122no—
492C3×D4—122no—
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—41no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—122no—
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—42no—
508#67—122no—
509#67—122no—
510#67—122no—
511#67—122no—
512#67—122no—
513#67—122no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—62no—
523C2×Dic3—62no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—61no—
528C2×Dic3—121no—
529C2×Dic3—121no—
530C2×Dic3—122no—
531C2×Dic3—122no—
532C2×Dic3—122no—
533C2×Dic3—242no—
534C2×Dic3D3×D411yescharacteristic
535C2×Dic3D3×D411yescharacteristic
536C2×Dic3D3×D411yescharacteristic
537D12—21no—
538D12—21no—
539D12—21no—
540D12—21no—
541D12—42no—
542C4×D3—21no—
543C4×D3—21no—
544C4×D3—42no—
545C4×D3—62no—
546C4×D3—62no—
547C4×D3—122no—
548Dic6—21no—
549Dic6—21no—
550Dic6—122no—
551Dic6—122no—
552Dic6—242no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C3⋊C8—61no—
561C3⋊C8—61no—
562C3⋊C8—121no—
563C2×C32—81no—
564C2×C32#53711yescharacteristic
565C2×C32C2×#13511yescharacteristic
566C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
567C3×D3—22no—
568C3×D3—81no—
569C3×D3—81no—
570#41—364no—
571C2×Q8—31no—
572C2×Q8—181no—
573C2×D4—31no—
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C2×D4C2×D3211yescharacteristic
581C22×C4—31no—
582C22×C4—61no—
583C22×C4—91no—
584C22×C4—91no—
585C22×C4—181no—
586C22×C4—181no—
587SD16—121no—
588SD16—361no—
589D8—121no—
590D8—121no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8—121no—
595C2×C8—361no—
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—61no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C42—31no—
616C42—91no—
617C42—91no—
618C42—91no—
619C42—181no—
620C22×C3—21no—
621C22×C3—32no—
622C22×C3—42no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—61no—
630C22×C3—61no—
631C22×C3—81no—
632C22×C3—81no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3—121no—
636C22×C3—121no—
637C22×C3—121no—
638C22×C3—121no—
639C22×C3C2×D3×D411yescharacteristic
640C22×C3C2×D3×D411yescharacteristic
641C2×D3—21no—
642C2×D3—21no—
643C2×D3—41no—
644C2×D3—41no—
645C2×D3—41no—
646C2×D3—41no—
647C2×D3—41no—
648C2×D3—41no—
649C2×D3#91112yes—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—41no—
653C3×C4—41no—
654C3×C4—61no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—81no—
658C3×C4—121no—
659C3×C4—121no—
660C3×C4#100411yescharacteristic
661C3×C4#100411yescharacteristic
662C3×C4#101011yescharacteristic
663C3×C4#101011yescharacteristic
664Dic3—21no—
665Dic3—21no—
666Dic3—21no—
667Dic3—32no—
668Dic3—32no—
669Dic3—41no—
670Dic3—41no—
671Dic3—62no—
672Dic3—61no—
673Dic3—61no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678Dic3—121no—
679Dic3—241no—
680Dic3—241no—
681C32#324711yescharacteristic, complemented, Sylow
682C23—21no—
683C23—31no—
684C23—61no—
685C23—61no—
686Q8—61no—
687Q8—61no—
688Q8—362no—
689D4—21no—
690D4—21no—
691D4—61no—
692D4—61no—
693D4—61no—
694D4—61no—
695D4—122no—
696D4—122no—
697D4—362no—
698D4—362no—
699D4—362no—
700C2×C4—21no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—91no—
709C2×C4—91no—
710C2×C4—122no—
711C2×C4—182no—
712C2×C4—182no—
713C2×C4—181no—
714C2×C4—181no—
715C2×C4—362no—
716C2×C4—362no—
717C2×C4C22×D3211yescharacteristic
718C8—21no—
719C8—61no—
720C8—61no—
721C8—181no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—62no—
726C2×C3—82no—
727C2×C3—81no—
728C2×C3—81no—
729C2×C3—241no—
730C2×C3—241no—
731C2×C3#559711yescharacteristic
732C2×C3#560811yescharacteristic
733C2×C3C2×#91111yescharacteristic
734C2×C3D3×#13511yescharacteristic
735C2×C3D3×#13511yescharacteristic
736C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
737D3—22no—
738D3—81no—
739D3—81no—
740C22—32no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—61no—
745C22—61no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22—121no—
750C22—121no—
751C22—121no—
752C22D32×D411yescharacteristic
753C4—41no—
754C4—61no—
755C4—61no—
756C4—61no—
757C4—92no—
758C4—121no—
759C4—121no—
760C4—181no—
761C4—361no—
762C4—361no—
763C4#6429811yescharacteristic
764C4#6431311yescharacteristic
765C3—21no—
766C3#8051211yescharacteristic, complemented
767C3#8070311yescharacteristic, complemented
768C2—62no—
769C2—81no—
770C2—241no—
771C2—241no—
772C2#1059406011yescharacteristic
773C2D3×#91111yescharacteristic
774C2#1059474711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
hypercenter#102D32
hypocenterC32#3247
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595173C2semidirect
2. #10594367C2semidirect
3. #10592460C2semidirect
4. C3×#4787C2semidirect
5. C3×#4775C2semidirect
6. #10591498C2semidirect
7. #10591486C2semidirect
8. #10591431C2semidirect
9. #10590876C2semidirect
10. #10590829C2semidirect
11. #10590772C2semidirect
12. D3×Dic3⋊C8C2semidirect
13. #10590542C2semidirect
14. #10590514C2semidirect
15. #10590496C2semidirect
85. #4787D3semidirect
86. #4775D3semidirect
681. C32#3247semidirect
766. C3#80512semidirect
767. C3#80703semidirect

Maximal subgroups

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

subgroupindex
#105951732
#105943672
#105924602
C3×#47872
C3×#47752
#105914982
#105914862
#105914312
#105908762
#105908292
#105907722
D3×Dic3⋊C82
#105905422
#105905142
#105904962
#807033
#805123