Finite Group Databasebeta

← #11887834

Subgroups — #11887834

Order 1152.

827 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595380C211yesmaximal, characteristic, complemented
2#10594525C211yesmaximal, characteristic
3#10592489C211yesmaximal, characteristic, complemented
4C3×#4813C211yesmaximal, characteristic, complemented
5C3×#4807C211yesmaximal, characteristic, complemented
6#10591655C211yesmaximal, characteristic, complemented
7#10591653C211yesmaximal, characteristic, complemented
8#10591612C211yesmaximal, characteristic, complemented
9#10590954C211yesmaximal, characteristic, complemented
10#10590868C211yesmaximal, characteristic, complemented
11C8×#625C211yesmaximal, characteristic, complemented
12D3×#816C211yesmaximal, characteristic, complemented
13#10590447C211yesmaximal, characteristic, complemented
14#10590438C211yesmaximal, characteristic, complemented
15#10590434C211yesmaximal, characteristic, complemented
16#80769—31nomaximal
17#80690—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C2×C3×#216C2211yescharacteristic
26C2×C3×#215C2211yescharacteristic
27C2×C3×D3×C8C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C3×#897C2211yescharacteristic
30C3×#895C2211yescharacteristic
31#63915—21no—
32C4×#625C2211yescharacteristic
33#63899—21no—
34#63898—21no—
35#63891—21no—
36D3×C4⋊Dic3C2211yescharacteristic
37#63885—21no—
38#63878—21no—
39#63872C2211yescharacteristic
40#63863C2211yescharacteristic
41#63862—21no—
42#63845—21no—
43#63841C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63643C2211yescharacteristic
46C8×C3⋊Dic3C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52#63572C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61#5642—31no—
62#5639—31no—
63#5633—31no—
64#5598—31no—
65C3×#467—31no—
66C3×#465—31no—
67#5186—31no—
68#5185—31no—
69#5173—31no—
70#5166—31no—
71#5113—31no—
72C8×#67—31no—
73C8×#67—31no—
74C2×#816—31no—
75#5050—31no—
76#5047—31no—
77#5045—31no—
78#5033—31no—
79#4882—31no—
80#4877—31no—
81#4868—31no—
82#4857—31no—
83#4813D311yescharacteristic, complemented
84#4807D311yescharacteristic, complemented
85D3×#103—31no—
86#4800—31no—
87#4790—31no—
88#4790—31no—
89#4790—61no—
90#4772—31no—
91#4768—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#625—21no—
101C2×#625D411yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795—41no—
107D3×Dic6—22no—
108D3×Dic6—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3756—22no—
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#216—41no—
120C3×#215—41no—
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×(C2×D3)⋊C4—21no—
125C3×C4⋊Dic3—21no—
126C3×C4⋊Dic3C2311yescharacteristic
127C3×C4⋊Dic3C2311yescharacteristic
128C3×Dic3⋊C4—21no—
129C3×Dic3⋊C4—21no—
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C3×D3×C8—41no—
133C3×D3×C8—41no—
134#3724D411yescharacteristic
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3—21no—
141(C2×D3)⋊Dic3D411yescharacteristic
142(C2×D3)⋊Dic3D411yescharacteristic
143Dic32—21no—
144#3300—91noSylow
145C2×D3×Q8—31no—
146C2×#237—31no—
147C2×#235—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×SD16—31no—
151C22×C3×C8—31no—
152C22×C3×C8—31no—
153C3×C22⋊Q8—31no—
154C3×C22⋊Q8—31no—
155C3×C22⋊Q8—31no—
156C3×#121—31no—
157#947—31no—
158#946C2×D311yescharacteristic
159#946C2×D311yescharacteristic
160Q8×Dic3—31no—
161Q8×Dic3—31no—
162Q8×Dic3—61no—
163C2×#216—31no—
164C2×#216—31no—
165C2×#216—61no—
166C2×#216C2×D311yescharacteristic
167C2×#215C2×D311yescharacteristic
168#939—61no—
169#936—31no—
170D4×Dic3—61no—
171C4×#67—31no—
172C4×#67—31no—
173#926—31no—
174C2×C4⋊Dic3—31no—
175C2×D3×C8C2×D311yescharacteristic
176C2×D3×C8C2×D311yescharacteristic
177#898—61no—
178#897C2×D311yescharacteristic
179#896—61no—
180#895C2×D311yescharacteristic
181#893—61no—
182#892—31no—
183#892—61no—
184D3×C4⋊C4—31no—
185#890—31no—
186#890—31no—
187#890—61no—
188#889—61no—
189#887—31no—
190#887—31no—
191#887—61no—
192#886—61no—
193#885—61no—
194#885—61no—
195#884—61no—
196#883—61no—
197#879—61no—
198#878—61no—
199#877—61no—
200C3×#107—31no—
201C3×#106—31no—
202C3×#103—21no—
203C3×#103—31no—
204C3×#103C2×D311yescharacteristic
205C3×#103C2×D311yescharacteristic
206C3×#102—31no—
207#835—31no—
208#835—31no—
209#832—31no—
210#832—31no—
211#830—31no—
212#830—31no—
213#821—31no—
214#821C2×D311yescharacteristic
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—61no—
223#816C2×D311yescharacteristic
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226C8×Dic3—31no—
227C8×Dic3—31no—
228C8×Dic3—61no—
229#810—31no—
230#810—31no—
231#810—31no—
232#809—31no—
233#808C2×D311yescharacteristic
234#807—31no—
235#807—31no—
236#807—61no—
237#807C2×D311yescharacteristic
238C22×C3×D3—21no—
239C22×C3×D3C2×D411yescharacteristic
240C22×C3×D3C2×D411yescharacteristic
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3⋊Dic3C2×D411yescharacteristic
250#634—21no—
251#634#4112yes—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
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—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266#627—42no—
267#625—22no—
268#625—42no—
269D3×Dic3—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—91no—
281#479—91no—
282#467—31no—
283#465—31no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—91no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C22×C3×C4—31no—
298C22×C3×C4—31no—
299C2×#67—31no—
300C2×#67—31no—
301C2×#67—61no—
302C2×#67—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306D3×Q8—62no—
307D3×Q8—121no—
308#237—62no—
309#237—121no—
310#235—62no—
311#235—121no—
312C2×D12—21no—
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—61no—
322C2×Dic6—62no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6—121no—
326C2×Dic6C22×D311yescharacteristic
327C3×Q16—121no—
328C3×SD16—121no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8—121no—
333C2×C3×C8—121no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—21no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346C3×C22⋊C4—61no—
347C3×C22⋊C4—61no—
348#217—31no—
349#217—31no—
350#217—61no—
351#217—61no—
352#217—61no—
353#216—41no—
354#216—62no—
355#216—62no—
356#216—64no—
357#215—41no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—31no—
363(C2×D3)⋊C4—31no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367C4⋊Dic3—21no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—121no—
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
381Dic3⋊C4—31no—
382Dic3⋊C4—31no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—121no—
389C4×Dic3—31no—
390C4×Dic3—31no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—121no—
399C4×Dic3—121no—
400C2×C3⋊C8—31no—
401C2×C3⋊C8—31no—
402C2×C3⋊C8—61no—
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405D3×C8—41no—
406D3×C8—41no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C2×C3×D3#13512yes—
417C32×C4—41no—
418C32×C4—41no—
419C32×C4C2×#4111yescharacteristic
420C32×C4H(5,𝔽2)11yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—22no—
423C3⋊Dic3—21no—
424C3⋊Dic3—41no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C2×#41—91no—
431C22×Q8—91no—
432C2×Q16—31no—
433C2×Q16—91no—
434C2×SD16—31no—
435C22×C8—31no—
436C22×C8—31no—
437#126—181no—
438#125—91no—
439#125—181no—
440#124—91no—
441#124—181no—
442#123—181no—
443C22⋊Q8—31no—
444C22⋊Q8—31no—
445C22⋊Q8—31no—
446C22⋊Q8—181no—
447#121—31no—
448#121—181no—
449C4×Q8—91no—
450C4×Q8—91no—
451C4×D4—91no—
452C4×D4—181no—
453#117—91no—
454#117—181no—
455C2×C4⋊C4—91no—
456#107—31no—
457#107—91no—
458#106—31no—
459C4⋊C8—91no—
460#103—31no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103D3211yescharacteristic
467#102—31no—
468#102—91no—
469#102—91no—
470C22⋊C8—91no—
471C22⋊C8—91no—
472C4×C8—91no—
473C23×C3—31no—
474C23×C3—31no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3D3×D411yescharacteristic
478C22×D3D3×D411yescharacteristic
479C3×Q8—22no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—41no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×D4—61no—
488C3×D4—61no—
489C3×D4—122no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
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×C4—61no—
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—62no—
509#67—62no—
510#67—122no—
511#67—122no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—121no—
526C2×Dic3—121no—
527C2×Dic3—122no—
528C2×Dic3—122no—
529C2×Dic3—122no—
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532D12—21no—
533D12—21no—
534D12—42no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—21no—
538C4×D3—21no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542Dic6—21no—
543Dic6—21no—
544Dic6—32no—
545Dic6—32no—
546Dic6—62no—
547Dic6—61no—
548Dic6—61no—
549Dic6—121no—
550Dic6—122no—
551Dic6—122no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—62no—
560C3⋊C8—61no—
561C3⋊C8—61no—
562C2×C32#54611yescharacteristic
563C2×C32C2×#13511yescharacteristic
564C2×C32#57811yescharacteristic
565C3×D3—22no—
566C3×D3—41no—
567C3×D3—81no—
568#41—182no—
569#41—361no—
570C2×Q8—31no—
571C2×Q8—91no—
572C2×Q8—181no—
573C2×Q8—182no—
574C2×Q8—361no—
575C2×Q8C2×D3211yescharacteristic
576C2×D4—31no—
577C2×D4—61no—
578C2×D4—91no—
579C2×D4—181no—
580C22×C4—31no—
581C22×C4—31no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585Q16—121no—
586Q16—182no—
587SD16—121no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8—91no—
591C2×C8—121no—
592C2×C8—121no—
593C2×C8C2×D3211yescharacteristic
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—91no—
600C4⋊C4—91no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4C2×D3211yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—61no—
611C22⋊C4—91no—
612C22⋊C4—91no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C42—91no—
617C42—181no—
618C42—181no—
619C42—181no—
620C22×C3—21no—
621C22×C3—32no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—21no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3#91612yes—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—42no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—61no—
649C3×C4—61no—
650C3×C4—81no—
651C3×C4—121no—
652C3×C4—121no—
653C3×C4—121no—
654C3×C4#100411yescharacteristic
655C3×C4#100411yescharacteristic
656C3×C4D3×#4111yescharacteristic
657C3×C4D3×#4111yescharacteristic
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—62no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—62no—
669Dic3—62no—
670Dic3—122no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675C32#330011yescharacteristic, complemented, Sylow
676C23—31no—
677C23—31no—
678C23—61no—
679Q8—21no—
680Q8—21no—
681Q8—61no—
682Q8—61no—
683Q8—92no—
684Q8—181no—
685Q8—362no—
686D4—61no—
687D4—61no—
688D4—122no—
689D4—182no—
690D4—362no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—91no—
703C2×C4—91no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—362no—
707C2×C4—362no—
708C2×C4—362no—
709C2×C4C22×D3211yescharacteristic
710C8—21no—
711C8—61no—
712C8—61no—
713C8—181no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—62no—
718C2×C3—121no—
719C2×C3—241no—
720C2×C3#561011yescharacteristic
721C2×C3#561011yescharacteristic
722C2×C3C2×#91611yescharacteristic
723C2×C3#576611yescharacteristic
724C2×C3D3×#13511yescharacteristic
725C2×C3#577111yescharacteristic
726D3—22no—
727D3—41no—
728D3—81no—
729C22—32no—
730C22—61no—
731C22—61no—
732C22—61no—
733C22—61no—
734C22—61no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22D32×D411yescharacteristic
739C4—41no—
740C4—41no—
741C4—61no—
742C4—61no—
743C4—121no—
744C4—121no—
745C4—121no—
746C4—181no—
747C4—181no—
748C4—182no—
749C4—361no—
750C4#6430611yescharacteristic
751C4#6431311yescharacteristic
752C3—21no—
753C3#8069011yescharacteristic, complemented
754C3#8076911yescharacteristic, complemented
755C2—62no—
756C2—121no—
757C2—241no—
758C2#1059427611yescharacteristic
759C2D3×#91611yescharacteristic
760C2#1059476811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10594525C2
hypercenter#103D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595380C2semidirect
3. #10592489C2semidirect
4. C3×#4813C2semidirect
5. C3×#4807C2semidirect
6. #10591655C2semidirect
7. #10591653C2semidirect
8. #10591612C2semidirect
9. #10590954C2semidirect
10. #10590868C2semidirect
11. C8×#625C2semidirect
12. D3×#816C2semidirect
13. #10590447C2semidirect
14. #10590438C2semidirect
15. #10590434C2semidirect
83. #4813D3semidirect
84. #4807D3semidirect
675. C32#3300semidirect
753. C3#80690semidirect
754. C3#80769semidirect

Maximal subgroups

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

subgroupindex
#105953802
#105945252
#105924892
C3×#48132
C3×#48072
#105916552
#105916532
#105916122
#105909542
#105908682
C8×#6252
D3×#8162
#105904472
#105904382
#105904342
#807693
#806903