Finite Group Databasebeta

← #11895742

Subgroups — #11895742

Order 1152.

862 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593938C211yesmaximal, characteristic, complemented
2#10593902C211yesmaximal, characteristic, complemented
3#10592542C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4828C211yesmaximal, characteristic, complemented
6#10590882C211yesmaximal, characteristic, complemented
7#10590878C211yesmaximal, characteristic, complemented
8#10590774C211yesmaximal, characteristic, complemented
9#10590768C211yesmaximal, characteristic, complemented
10#10590765C211yesmaximal, characteristic, complemented
11#10590765C211yesmaximal, characteristic, complemented
12#10590763C211yesmaximal, characteristic, complemented
13#10590759C211yesmaximal, characteristic, complemented
14#10590346C211yesmaximal, characteristic, complemented
15#10590282C211yesmaximal, characteristic, complemented
16#81152—31nomaximal
17#79969—31nomaximal
18C2×#3799—21no—
19C2×#3745C2211yescharacteristic
20C2×#3745C2211yescharacteristic
21#64083C2211yescharacteristic
22C4×C4⋊(C3⋊D3)C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#870C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63918C2211yescharacteristic
27#63911C2211yescharacteristic
28#63911C2211yescharacteristic
29#63910—21no—
30#63910—21no—
31#63909—21no—
32#63895—21no—
33#63894C2211yescharacteristic
34#63894C2211yescharacteristic
35#63894C2211yescharacteristic
36#63894C2211yescharacteristic
37#63888—21no—
38#63883—21no—
39#63869C2211yescharacteristic
40#63865—21no—
41C2×#3714C2211yescharacteristic
42C32×C4⋊C8C2211yescharacteristic
43#63648C2211yescharacteristic
44#63648C2211yescharacteristic
45C3×#821C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#818C2211yescharacteristic
48C3×#817C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#803C2211yescharacteristic
54#63573C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63564C2211yescharacteristic
60#63563C2211yescharacteristic
61#5690—31no—
62#5579—31no—
63#5577—31no—
64#5553—31no—
65C3×#478—31no—
66C3×#446—31no—
67#5067—31no—
68#5014—31no—
69#4891—31no—
70#4872—31no—
71#4870—31no—
72#4869—31no—
73#4847—31no—
74#4847D311yescharacteristic, complemented
75#4843—31no—
76#4843—31no—
77#4843—31no—
78#4843—31no—
79#4843—61no—
80#4842—31no—
81#4828D311yescharacteristic, complemented
82#4786—31no—
83#4786—31no—
84#4764—31no—
85#4760—31no—
86#4713—31no—
87#4713—31no—
88#4711—31no—
89#4711—31no—
90#4694—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C4×C3⋊D3—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#626—21no—
106C2×#624—21no—
107C2×#624—21no—
108C2×#624—21no—
109C2×#624—21no—
110#3799—44no—
111C2×C32×C8C2311yescharacteristic
112C2×C32×C8C2311yescharacteristic
113C32×C42C2311yescharacteristic
114#3752—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3745—22no—
117#3745—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3722—21no—
137#3722—21no—
138#3714—22no—
139#3366—91noSylow
140C2×#239—61no—
141C2×#235—61no—
142C3×#125—31no—
143C3×C4×Q8—31no—
144C3×C4×D4—31no—
145#946—61no—
146#940—31no—
147#940—31no—
148C2×#213—31no—
149#930—61no—
150C2×D24—31no—
151C2×D24—31no—
152C2×D24—31no—
153C2×D24—31no—
154C2×D24—31no—
155C2×D24—61no—
156C2×D24—61no—
157#897—61no—
158#896—61no—
159#896—61no—
160#896—61no—
161#896—61no—
162#895—61no—
163#895—61no—
164#895—61no—
165#893—31no—
166#893—31no—
167#893—31no—
168#893—31no—
169D3×C4⋊C4—61no—
170D3×C4⋊C4—61no—
171#890—31no—
172#888—31no—
173#884—61no—
174#884—61no—
175#874—31no—
176#874—31no—
177#874—31no—
178#874—31no—
179#874—61no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—61no—
187C4×D12C2×D311yescharacteristic
188#870—31no—
189#870C2×D311yescharacteristic
190#869—31no—
191C4×Dic6C2×D311yescharacteristic
192C3×#107—31no—
193C3×#106—31no—
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8C2×D311yescharacteristic
198C3×C4⋊C8C2×D311yescharacteristic
199C3×#102—31no—
200C3×#102—31no—
201C3×#97—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#832—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—61no—
216#821—61no—
217#821C2×D311yescharacteristic
218#821C2×D311yescharacteristic
219#818C2×D311yescharacteristic
220#817—31no—
221#817C2×D311yescharacteristic
222#815C2×D311yescharacteristic
223Dic3⋊C8C2×D311yescharacteristic
224Dic3⋊C8C2×D311yescharacteristic
225C8×Dic3C2×D311yescharacteristic
226#809—31no—
227#809—31no—
228#809—31no—
229#809—31no—
230#809—31no—
231#808—31no—
232#803C2×D311yescharacteristic
233C22×C3⋊D3—21no—
234C22×C3⋊D3—21no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—42no—
247C4⋊(C3⋊D3)—81no—
248C4⋊(C3⋊D3)#4112yescomplemented
249C4×C3⋊D3—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×C4×D3—42no—
260C3×Dic6—22no—
261#627—81no—
262#626—42no—
263#626—42no—
264#626—81no—
265#626—81no—
266#624—42no—
267#624—42no—
268#624—42no—
269#624—81no—
270C32×C8—21no—
271C32×C8—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—91no—
276#490—91no—
277#490—91no—
278#486—91no—
279#478—31no—
280#478—91no—
281#476—91no—
282#459—91no—
283#459—91no—
284#459—91no—
285#446—31no—
286#442—91no—
287#442—91no—
288C4×D8—91no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C22×C3×C4—61no—
292C2×#67—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296#239—124no—
297#235—124no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12—121no—
316C2×D12—121no—
317C2×D12C22×D311yescharacteristic
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—61no—
329C2×C4×D3—121no—
330C2×Dic6—61no—
331C2×Dic6—61no—
332C2×Dic6D1211yescharacteristic
333C2×C3×C8—21no—
334C2×C3×C8—21no—
335C2×C3×C8—31no—
336C2×C3×C8—31no—
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C2×C3×C8C22×D311yescharacteristic
340C2×C3×C8C22×D311yescharacteristic
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—31no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—61no—
348C3×C4⋊C4—61no—
349C3×C22⋊C4—61no—
350C3×C42—21no—
351C3×C42—31no—
352C3×C42—31no—
353C3×C42C22×D311yescharacteristic
354C3×C42C22×D311yescharacteristic
355#213—62no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—61no—
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—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3D1211yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4D1211yescharacteristic
384Dic3⋊C4D1211yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C4×Dic3C22×D311yescharacteristic
387C2×C3⋊C8C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389D24—62no—
390D24—62no—
391D24—62no—
392D24—62no—
393D24—62no—
394D24—122no—
395D24—122no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—22no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4C2×#4111yescharacteristic
412C32×C42−1+411yescharacteristic
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3AGL(1,ℤ/8)12yes—
421C2×#41—181no—
422C2×D8—91no—
423C2×D8—91no—
424C2×D8—91no—
425C4⋊Q8—91no—
426#127—91no—
427#127—91no—
428#127—91no—
429#125—31no—
430#125—91no—
431C22⋊Q8—181no—
432C22⋊Q8—181no—
433C22⋊Q8—181no—
434#121—181no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×D4—31no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—91no—
444C2×C4⋊C4—181no—
445#107—31no—
446#106—31no—
447#106—91no—
448C4⋊C8—31no—
449C4⋊C8—31no—
450C4⋊C8D3211yescharacteristic
451#102—31no—
452#102—31no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460#102—91no—
461#97—31no—
462#97—31no—
463C4×C8—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—121no—
473C22×D3—121no—
474C22×D3—121no—
475C3×Q8—62no—
476C3×D4—61no—
477C3×D4—61no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—122no—
489C2×C3×C4C2×D1211yescharacteristic
490C2×C3×C4C2×D1211yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—122no—
496#67—122no—
497#67—241no—
498#67—241no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—121no—
505C2×Dic3C2×D1211yescharacteristic
506C2×Dic3C2×D1211yescharacteristic
507C2×Dic3C2×D1211yescharacteristic
508C2×Dic3C2×D1211yescharacteristic
509D12—21no—
510D12—21no—
511D12—32no—
512D12—32no—
513D12—62no—
514D12—61no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12—121no—
526D12—121no—
527D12—121no—
528D12—121no—
529D12—122no—
530D12—122no—
531D12—122no—
532D12—122no—
533D12—242no—
534D12—241no—
535D12—241no—
536D12—242no—
537D12—241no—
538D12—241no—
539C4×D3—42no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—122no—
545C4×D3—122no—
546C4×D3—241no—
547C4×D3—241no—
548C4×D3—241no—
549C4×D3—241no—
550C4×D3—242no—
551Dic6—22no—
552Dic6—241no—
553Dic6—241no—
554C3×C8—21no—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—41no—
560C3×C8—61no—
561C3×C8—61no—
562C3⋊C8—21no—
563C3⋊C8—21no—
564C2×C32#54811yescharacteristic
565C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
566C2×C32#57611yescharacteristic
567C3⋊D3—42no—
568C3⋊D3—81no—
569C3⋊D3—81no—
570C3×D3—81no—
571#41—364no—
572C2×Q8—31no—
573C2×Q8—181no—
574C2×D4—31no—
575C2×D4—91no—
576C2×D4—91no—
577C2×D4—91no—
578C2×D4—181no—
579C2×D4—181no—
580C2×D4—181no—
581C2×D4—181no—
582C2×D4—181no—
583C2×D4—181no—
584C22×C4—61no—
585C22×C4—181no—
586C22×C4—181no—
587C22×C4—181no—
588C22×C4—181no—
589C22×C4—181no—
590D8—182no—
591D8—182no—
592D8—182no—
593C2×C8—31no—
594C2×C8—31no—
595C2×C8C2×D3211yescharacteristic
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—31no—
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—61no—
604C4⋊C4—61no—
605C4⋊C4—91no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C22⋊C4—61no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C42—31no—
616C42—31no—
617C42C2×D3211yescharacteristic
618C22×C3—21no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3C22×D1211yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—62no—
628C2×D3—62no—
629C2×D3—122no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—241no—
647C2×D3—241no—
648C2×D3—241no—
649C2×D3—241no—
650C2×D3—241no—
651C2×D3—241no—
652C2×D3—241no—
653C2×D3—241no—
654C3×C4—22no—
655C3×C4—21no—
656C3×C4—21no—
657C3×C4—21no—
658C3×C4—21no—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—32no—
662C3×C4—41no—
663C3×C4—61no—
664C3×C4—61no—
665C3×C4—61no—
666C3×C4—121no—
667C3×C4—121no—
668C3×C4—121no—
669C3×C4#100711yescharacteristic
670C3×C4#100711yescharacteristic
671C3×C4D3×#4111yescharacteristic
672C3×C4D3×#4111yescharacteristic
673Dic3—21no—
674Dic3—21no—
675Dic3—21no—
676Dic3—41no—
677Dic3—41no—
678Dic3—41no—
679Dic3—121no—
680Dic3—121no—
681Dic3—241no—
682Dic3#90812yes—
683C32#336611yescharacteristic, complemented, Sylow
684C23—61no—
685C23—181no—
686C23—181no—
687C23—181no—
688Q8—62no—
689Q8—721no—
690D4—61no—
691D4—61no—
692D4—92no—
693D4—181no—
694D4—181no—
695D4—181no—
696D4—181no—
697D4—181no—
698D4—362no—
699D4—362no—
700D4—362no—
701D4—721no—
702D4—721no—
703D4—721no—
704C2×C4—31no—
705C2×C4—31no—
706C2×C4—31no—
707C2×C4—31no—
708C2×C4—61no—
709C2×C4—61no—
710C2×C4—61no—
711C2×C4—122no—
712C2×C4—181no—
713C2×C4—362no—
714C2×C4—362no—
715C2×C4—362no—
716C2×C4—721no—
717C2×C4—721no—
718C2×C4D3×D1211yescharacteristic
719C2×C4D3×D1211yescharacteristic
720C2×C4C22×D3211yescharacteristic
721C8—21no—
722C8—21no—
723C8—61no—
724C8—61no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—241no—
729C2×C3#557611yescharacteristic
730C2×C3#563311yescharacteristic
731C2×C3C2×#90811yescharacteristic
732C2×C3#575211yescharacteristic
733C2×C3#576911yescharacteristic
734C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
735D3—81no—
736D3—122no—
737D3—122no—
738D3—242no—
739D3—241no—
740D3—241no—
741D3—241no—
742D3—241no—
743D3—481no—
744D3—481no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—182no—
749C22—361no—
750C22—361no—
751C22—361no—
752C22—361no—
753C22—361no—
754C22—361no—
755C22—361no—
756C22—361no—
757C22C2×D3×D1211yescharacteristic
758C4—21no—
759C4—21no—
760C4—32no—
761C4—61no—
762C4—61no—
763C4—61no—
764C4—121no—
765C4—121no—
766C4—121no—
767C4—361no—
768C4#6431211yescharacteristic
769C4#6431611yescharacteristic
770C3—21no—
771C3#7996911yescharacteristic, complemented
772C3#8115211yescharacteristic, complemented
773C2—241no—
774C2—362no—
775C2—721no—
776C2—721no—
777C2#1059432911yescharacteristic
778C2#1059468011yescharacteristic
779C2D3×#90811yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3366
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593938C2semidirect
2. #10593902C2semidirect
3. #10592542C2semidirect
4. C3×#4847C2semidirect
5. C3×#4828C2semidirect
6. #10590882C2semidirect
7. #10590878C2semidirect
8. #10590774C2semidirect
9. #10590768C2semidirect
10. #10590765C2semidirect
11. #10590765C2semidirect
12. #10590763C2semidirect
13. #10590759C2semidirect
14. #10590346C2semidirect
15. #10590282C2semidirect
74. #4847D3semidirect
81. #4828D3semidirect
248. C4⋊(C3⋊D3)#41semidirect
683. C32#3366semidirect
771. C3#79969semidirect
772. C3#81152semidirect

Maximal subgroups

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

subgroupindex
#105939382
#105939022
#105925422
C3×#48472
C3×#48282
#105908822
#105908782
#105907742
#105907682
#105907652
#105907632
#105907592
#105903462
#105902822
#811523
#799693