Finite Group Databasebeta

← #11872298

Subgroups — #11872298

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595222C211yesmaximal, characteristic, complemented
2#10594496C211yesmaximal, characteristic, complemented
3#10592465C211yesmaximal, characteristic, complemented
4C3×#4785C211yesmaximal, characteristic, complemented
5C3×#4781C211yesmaximal, characteristic, complemented
6#10591486C211yesmaximal, characteristic, complemented
7#10591450C211yesmaximal, characteristic, complemented
8Dic3×#213C211yesmaximal, characteristic, complemented
9#10590876C211yesmaximal, characteristic, complemented
10#10590766C211yesmaximal, characteristic, complemented
11#10590697C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590495C211yesmaximal, characteristic, complemented
14#10590475C211yesmaximal, characteristic, complemented
15#10590441C211yesmaximal, characteristic, complemented
16#80072—31nomaximal
17#79873—31nomaximal
18C2×C3×#237C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20#64099C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×#213C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#893C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29C2×Dic3⋊Dic3—21no—
30#63955—21no—
31#63914C2211yescharacteristic
32#63908—21no—
33#63908C2211yescharacteristic
34#63905—21no—
35Dic3×D12C2211yescharacteristic
36#63891—21no—
37D3×C4⋊Dic3C2211yescharacteristic
38#63885—21no—
39#63855C2211yescharacteristic
40#63843C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63659C2211yescharacteristic
45#63645C2211yescharacteristic
46#63641C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63575C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5827—31no—
62#5619—31no—
63#5562—31no—
64#5546—31no—
65C3×#449—31no—
66C3×#442—31no—
67#5238—31no—
68#5164—31no—
69#5163—31no—
70#5158—31no—
71#5150—31no—
72#5150—31no—
73Dic3×D8—31no—
74#5034—31no—
75C4×#214—31no—
76C4×#213—31no—
77#4863—31no—
78#4857—31no—
79#4796—31no—
80#4788—31no—
81#4785D311yescharacteristic, complemented
82#4781D311yescharacteristic, complemented
83#4774—31no—
84#4766—31no—
85#4766—31no—
86#4766—61no—
87#4762—31no—
88#4736—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×C3×#67—21no—
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C3×#237—22no—
98C3×#237—22no—
99C2×C3×D12—21no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×D12C2311yescharacteristic
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#625—21no—
106C2×#625—21no—
107C2×#625—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3757—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#217—21no—
120C3×#213—22no—
121C3×#213—22no—
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—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138Dic32—21no—
139Dic32—21no—
140#3715—22no—
141#3119—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C2×C3×D8—31no—
147C3×#121—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152C2×#215—31no—
153#940—31no—
154#940—31no—
155#939—61no—
156#938—31no—
157#938—61no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—61no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164D4×Dic3C2×D311yescharacteristic
165C2×#214—31no—
166C2×#213C2×D311yescharacteristic
167C2×#213C2×D311yescharacteristic
168#930—31no—
169#930—61no—
170#929—61no—
171C4×#67—61no—
172#926—31no—
173#926—61no—
174C2×C4⋊Dic3—31no—
175C2×C4⋊Dic3—61no—
176C2×Dic3⋊C4—61no—
177C2×#204C2×D311yescharacteristic
178#895C2×D311yescharacteristic
179#893C2×D311yescharacteristic
180D3×C4⋊C4—31no—
181#890—31no—
182#890—31no—
183#890—61no—
184#887—31no—
185#886—61no—
186#884—61no—
187#883—61no—
188#883—61no—
189#67⋊C4—61no—
190#877—61no—
191C4×D12—31no—
192#872—31no—
193C4×Dic6—31no—
194C3×#106—31no—
195C3×#103—31no—
196C3×#102—21no—
197C3×#102—31no—
198C3×#102C2×D311yescharacteristic
199C3×#102C2×D311yescharacteristic
200C3×C22⋊C8—31no—
201C3×#97—31no—
202#835—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#830—31no—
210#821—31no—
211#821—31no—
212#821C2×D311yescharacteristic
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215#818—31no—
216#818—31no—
217#818—31no—
218#818—61no—
219#816—31no—
220#815C2×D311yescharacteristic
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226C8×Dic3—31no—
227#810C2×D311yescharacteristic
228#809—31no—
229#808—31no—
230#808—31no—
231#808—61no—
232#808C2×D311yescharacteristic
233#807—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×D4—21no—
240C32×D4#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C3×#67—24no—
249C2×C3×Dic3—24no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—81no—
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—81no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—81no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#625—81no—
267#625—81no—
268#625—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—91no—
283#449—31no—
284#449—91no—
285#442—31no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C3×#41—62no—
291C3×#41—62no—
292C2×C3×Q8—31no—
293C2×C3×D4—21no—
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4—31no—
301C22×C3×C4—61no—
302C22×C3×C4—61no—
303C22×C3×C4—61no—
304C2×#67—21no—
305C2×#67—61no—
306C2×#67—61no—
307C2×#67—61no—
308C2×#67—61no—
309C2×#67—61no—
310C2×#67—61no—
311C22×Dic3—21no—
312C22×Dic3—21no—
313C22×Dic3—61no—
314C22×Dic3—61no—
315C22×Dic3—61no—
316C22×Dic3—61no—
317C22×Dic3—121no—
318#237—22no—
319#237—22no—
320C2×D12—21no—
321C2×D12C22×D311yescharacteristic
322C2×D12C22×D311yescharacteristic
323C2×C4×D3—21no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×SD16—62no—
329C3×D8—62no—
330C3×D8—62no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—21no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344#217—21no—
345#217—31no—
346#217—31no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—121no—
352#215—62no—
353#214—62no—
354#213—22no—
355#213—22no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—121no—
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—121no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3—61no—
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⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398#204—22no—
399C22×C32—22no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32C22×D411yescharacteristic
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—41no—
413C32×C4C2×#4111yescharacteristic
414C32×C4C2×#4111yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3×Dic3—22no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—31no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×D8—31no—
428C2×D8—31no—
429#127—91no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—31no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—91no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—31no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—91no—
450#107—91no—
451#106—31no—
452#106—91no—
453C4⋊C8—91no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#102—31no—
458#102—91no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102D3211yescharacteristic
463C22⋊C8—31no—
464C22⋊C8—91no—
465#97—31no—
466C4×C8—91no—
467C23×C3—21no—
468C23×C3—21no—
469C23×C3—31no—
470C23×C3—41no—
471C23×C3—61no—
472C23×C3—61no—
473C22×D3—21no—
474C22×D3—21no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—32no—
477C3×Q8—61no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—22no—
481C3×D4—41no—
482C3×D4—64no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—241no—
488C3×D4#23512yes—
489C3×D4#23712yes—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—64no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—241no—
503C2×C3×C4—241no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—24no—
507#67—241no—
508#67—241no—
509#67—241no—
510#67—241no—
511#67—241no—
512#67—241no—
513C2×Dic3—24no—
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—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—81no—
527C2×Dic3—121no—
528C2×Dic3—121no—
529C2×Dic3—241no—
530C2×Dic3—241no—
531C2×Dic3—241no—
532C2×Dic3—241no—
533C2×Dic3—242no—
534C2×Dic3D3×D411yescharacteristic
535C2×Dic3D3×D411yescharacteristic
536C2×Dic3D3×D411yescharacteristic
537D12—21no—
538D12—21no—
539D12—21no—
540D12—21no—
541D12—81no—
542C4×D3—21no—
543C4×D3—21no—
544C4×D3—81no—
545C4×D3—241no—
546C4×D3—241no—
547Dic6—21no—
548Dic6#23712yes—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C2×C32—42no—
560C2×C32#52511yescharacteristic
561C2×C32#57611yescharacteristic
562C2×C32#57711yescharacteristic
563C3×D3—41no—
564C3×D3—81no—
565C3×D3—81no—
566#41—62no—
567#41—62no—
568C2×Q8—31no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4C2×D3211yescharacteristic
577C22×C4—31no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584SD16—62no—
585SD16—182no—
586D8—62no—
587D8—62no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8—91no—
591C2×C8C2×D3211yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4C2×D3211yescharacteristic
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—91no—
607C22⋊C4—91no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—91no—
613C42—181no—
614C42—181no—
615C22×C3—22no—
616C22×C3—22no—
617C22×C3—21no—
618C22×C3—42no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3—81no—
627C22×C3—81no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3—121no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3C2×D3×D411yescharacteristic
635C22×C3C2×D3×D411yescharacteristic
636C2×D3—21no—
637C2×D3—21no—
638C2×D3—21no—
639C2×D3—41no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—41no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—62no—
653C3×C4—81no—
654C3×C4—121no—
655C3×C4C2×#23511yescharacteristic
656C3×C4C2×#23711yescharacteristic
657C3×C4C2×#23711yescharacteristic
658C3×C4D3×#4111yescharacteristic
659Dic3—21no—
660Dic3—21no—
661Dic3—22no—
662Dic3—21no—
663Dic3—41no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675Dic3—241no—
676C32#311911yescharacteristic, complemented, Sylow
677C23—21no—
678C23—31no—
679C23—61no—
680C23—61no—
681Q8—32no—
682Q8—61no—
683D4—21no—
684D4—64no—
685D4—61no—
686D4—61no—
687D4—61no—
688D4—61no—
689D4—241no—
690D4—721no—
691D4—721no—
692D4—721no—
693D4#379512yes—
694C2×C4—21no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—64no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—91no—
704C2×C4—91no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—241no—
708C2×C4—241no—
709C2×C4—721no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4C22×D3211yescharacteristic
713C8—21no—
714C8—61no—
715C8—61no—
716C8—181no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—42no—
721C2×C3—42no—
722C2×C3—82no—
723C2×C3—121no—
724C2×C3—241no—
725C2×C3—241no—
726C2×C3#554711yescharacteristic
727C2×C3#558611yescharacteristic
728C2×C3#576911yescharacteristic
729C2×C3#577411yescharacteristic
730C2×C3#577511yescharacteristic
731C2×C3#577511yescharacteristic
732D3—41no—
733D3—81no—
734D3—81no—
735C22—22no—
736C22—41no—
737C22—41no—
738C22—61no—
739C22—61no—
740C22—61no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22D32×D411yescharacteristic
748C4—41no—
749C4—61no—
750C4—62no—
751C4—61no—
752C4—61no—
753C4—121no—
754C4—181no—
755C4—181no—
756C4—361no—
757C4—361no—
758C4C2×#379511yescharacteristic
759C4D3×#23711yescharacteristic
760C3—21no—
761C3#7987311yescharacteristic, complemented
762C3#8007211yescharacteristic, complemented
763C2—42no—
764C2—121no—
765C2—241no—
766C2—241no—
767C2#1059405411yescharacteristic
768C2#1059473311yescharacteristic
769C2#1059475511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
hypercenter#102D32
hypocenterC32#3119
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. #10595222C2semidirect
2. #10594496C2semidirect
3. #10592465C2semidirect
4. C3×#4785C2semidirect
5. C3×#4781C2semidirect
6. #10591486C2semidirect
7. #10591450C2semidirect
8. Dic3×#213C2semidirect
9. #10590876C2semidirect
10. #10590766C2semidirect
11. #10590697C2semidirect
12. #10590680C2semidirect
13. #10590495C2semidirect
14. #10590475C2semidirect
15. #10590441C2semidirect
81. #4785D3semidirect
82. #4781D3semidirect
676. C32#3119semidirect
761. C3#79873semidirect
762. C3#80072semidirect

Maximal subgroups

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

subgroupindex
#105952222
#105944962
#105924652
C3×#47852
C3×#47812
#105914862
#105914502
Dic3×#2132
#105908762
#105907662
#105906972
#105906802
#105904952
#105904752
#105904412
#800723
#798733