Finite Group Databasebeta

← #11887822

Subgroups — #11887822

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#10595401C211yesmaximal, characteristic
2#10594457C211yesmaximal, characteristic, complemented
3#10592513C211yesmaximal, characteristic, complemented
4C3×#4809C211yesmaximal, characteristic, complemented
5C3×#4800C211yesmaximal, characteristic, complemented
6#10591601C211yesmaximal, characteristic, complemented
7#10591578C211yesmaximal, characteristic, complemented
8D3×#835C211yesmaximal, characteristic, complemented
9#10590965C211yesmaximal, characteristic, complemented
10Dic3×Dic12C211yesmaximal, characteristic, complemented
11#10590721C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590611C211yesmaximal, characteristic, complemented
14#10590501C211yesmaximal, characteristic, complemented
15#10590491C211yesmaximal, characteristic, complemented
16#81654—31nomaximal
17#80194—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3796C2211yescharacteristic
20#64155C2211yescharacteristic
21#64101C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63908C2211yescharacteristic
28#63907—21no—
29#63906—21no—
30C4×#626C2211yescharacteristic
31#63890—21no—
32D3×C4⋊Dic3C2211yescharacteristic
33#63887—21no—
34#63879—21no—
35#63878—21no—
36#63872—21no—
37#63871C2211yescharacteristic
38#63848—21no—
39Dic3×Dic6C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3710C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63647C2211yescharacteristic
47#63645C2211yescharacteristic
48#63635C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×(C2×D3)⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#809C2211yescharacteristic
55#63575C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63565C2211yescharacteristic
60#63563C2211yescharacteristic
61#5817—31no—
62#5694—31no—
63#5677—31no—
64#5642—31no—
65C3×#488—31no—
66C3×#451—31no—
67C2×#835—31no—
68#5188—31no—
69#5187—31no—
70#5185—31no—
71Dic3×Q16—31no—
72#5063—31no—
73#5054—31no—
74#5048—31no—
75#4814—31no—
76#4814—31no—
77#4814—61no—
78#4813—31no—
79#4809D311yescharacteristic, complemented
80#4804—31no—
81D3×#103—31no—
82#4800D311yescharacteristic, complemented
83#4796—31no—
84#4783—31no—
85#4778—31no—
86#4774—31no—
87#4772—31no—
88#4736—31no—
89#67⋊C8—31no—
90C4×Dic12—31no—
91C8×D12—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3C2311yescharacteristic
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#626—21no—
103C2×#626D411yescharacteristic
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3796—22no—
108#3796—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3—21no—
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#216—41no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3—21no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×Dic12—22no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3D411yescharacteristic
135#3722—21no—
136#3722D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141#3715—41no—
142#3710—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C22×C3×Q8—31no—
146C2×#239—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C2×#237—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C3×#125—31no—
152C3×#124—31no—
153C3×C22⋊Q8—31no—
154#947—61no—
155#947C2×D311yescharacteristic
156#946—31no—
157#946—31no—
158#946—31no—
159#946—61no—
160#946—61no—
161Q8×Dic3—31no—
162Q8×Dic3—31no—
163C2×#216C2×D311yescharacteristic
164C2×#215—31no—
165#938—31no—
166C2×#214—31no—
167#930—31no—
168#930—61no—
169C4×#67—31no—
170C4×#67—61no—
171C2×C4⋊Dic3—31no—
172C22×C3⋊C8—31no—
173C2×Dic12C2×D311yescharacteristic
174C2×D3×C8—31no—
175C2×D3×C8—31no—
176C2×D3×C8—31no—
177#898—61no—
178#898—61no—
179#897—31no—
180#897C2×D311yescharacteristic
181#894—61no—
182#892—31no—
183#892—31no—
184#892—61no—
185#892—61no—
186D3×C4⋊C4—31no—
187#890—61no—
188#890—61no—
189#890C2×D311yescharacteristic
190#886—61no—
191#885—61no—
192#884—61no—
193#67⋊C4—61no—
194#878—61no—
195#877—61no—
196C4×D12—31no—
197C4×Dic6—31no—
198C4×Dic6—31no—
199C3×#103—21no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#103C2×D311yescharacteristic
203C3×#103C2×D311yescharacteristic
204C3×#102—31no—
205C3×#102—31no—
206C3×C22⋊C8—31no—
207C3×C4×C8—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—61no—
214#835C2×D311yescharacteristic
215#832—31no—
216#821—31no—
217#821C2×D311yescharacteristic
218(C2×D3)⋊C8—31no—
219(C2×D3)⋊C8—31no—
220(C2×D3)⋊C8—61no—
221(C2×D3)⋊C8C2×D311yescharacteristic
222#818—31no—
223#818—31no—
224#818—31no—
225#818—61no—
226#816—31no—
227#816—31no—
228Dic3⋊C8—31no—
229C8×Dic3C2×D311yescharacteristic
230#810—31no—
231#810C2×D311yescharacteristic
232#809C2×D311yescharacteristic
233#808—31no—
234#808—31no—
235#808—61no—
236#807—31no—
237C4⋊(C3⋊C8)—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3—21no—
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
249C4×C3⋊D3—21no—
250C4×C3⋊D3—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×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—42no—
266C3×Dic6#4112yes—
267#626—22no—
268#626—42no—
269#625—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—31no—
279#485—91no—
280#480—91no—
281#479—91no—
282#467—91no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—31no—
287C4×Q16—91no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—61no—
295C2×C3×Q8—62no—
296C2×C3×Q8—121no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D311yescharacteristic
299C2×C3×D4—31no—
300C22×C3×C4—31no—
301C22×C3×C4—61no—
302C2×#67—31no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308#239—62no—
309#239—121no—
310D3×Q8—22no—
311D3×Q8—41no—
312#237—62no—
313#237—121no—
314C2×D12—31no—
315C2×D12—61no—
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—31no—
319C2×C4×D3—31no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3C22×D311yescharacteristic
324C2×Dic6—21no—
325C2×Dic6C22×D311yescharacteristic
326C2×Dic6C22×D311yescharacteristic
327C3×Q16—62no—
328C3×Q16—121no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
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×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345#217—31no—
346#217—61no—
347#216—41no—
348#215—121no—
349#214—121no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—61no—
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—121no—
364(C2×D3)⋊C4—121no—
365C4⋊Dic3—21no—
366C4⋊Dic3—21no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
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—61no—
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—31no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—121no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—121no—
395C4×Dic3C22×D311yescharacteristic
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—121no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—22no—
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—31no—
431C2×Q16—31no—
432C2×Q16—31no—
433C2×SD16—91no—
434C22×C8—91no—
435C22×C8—91no—
436#126—181no—
437#125—31no—
438#125—181no—
439#124—31no—
440#124—181no—
441#123—181no—
442C22⋊Q8—31no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446#121—91no—
447#121—181no—
448C4×Q8—91no—
449C4×Q8—91no—
450C4×D4—91no—
451C4×D4—181no—
452#117—91no—
453#117—181no—
454C2×C4⋊C4—91no—
455#107—91no—
456#107—91no—
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#103D3211yescharacteristic
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—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—32no—
484C3×Q8—41no—
485C3×Q8—41no—
486C3×Q8—61no—
487C3×Q8—61no—
488C3×Q8—61no—
489C3×Q8—122no—
490C3×D4—61no—
491C3×D4—61no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—41no—
501C2×C3×C4—41no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—122no—
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—62no—
511#67—122no—
512#67—122no—
513#67—122no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3—122no—
527C2×Dic3—122no—
528C2×Dic3D3×D411yescharacteristic
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531D12—21no—
532D12—21no—
533D12—62no—
534D12—122no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—42no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—61no—
541C4×D3—61no—
542C4×D3—121no—
543C4×D3—121no—
544C4×D3—122no—
545C4×D3—122no—
546Dic6—21no—
547Dic6—21no—
548Dic6—21no—
549Dic6—42no—
550Dic6#23712yes—
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—61no—
572C2×Q8—62no—
573C2×Q8—121no—
574C2×Q8C2×D3211yescharacteristic
575C2×D4—31no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C22×C4—31no—
580C22×C4—61no—
581C22×C4—91no—
582C22×C4—181no—
583C22×C4—181no—
584Q16—62no—
585Q16—121no—
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—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—91no—
610C22⋊C4—91no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C42—31no—
616C42—181no—
617C42—181no—
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#91912yes—
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×#23711yescharacteristic
658C3×C4#100411yescharacteristic
659C3×C4D3×#4111yescharacteristic
660C3×C4#100911yescharacteristic
661Dic3—21no—
662Dic3—21no—
663Dic3—22no—
664Dic3—21no—
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—21no—
681Q8—21no—
682Q8—32no—
683Q8—61no—
684Q8—61no—
685Q8—61no—
686Q8—122no—
687D4—61no—
688D4—61no—
689D4—182no—
690D4—362no—
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#559111yescharacteristic
721C2×C3#567611yescharacteristic
722C2×C3C2×#91911yescharacteristic
723C2×C3D3×#13511yescharacteristic
724C2×C3#577111yescharacteristic
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—61no—
745C4—61no—
746C4—62no—
747C4—121no—
748C4—121no—
749C4—181no—
750C4—361no—
751C4—361no—
752C4#6430711yescharacteristic
753C4D3×#23711yescharacteristic
754C3—21no—
755C3#8019411yescharacteristic, complemented
756C3#8165411yescharacteristic, complemented
757C2—62no—
758C2—241no—
759C2—361no—
760C2#1059428111yescharacteristic
761C2#1059475611yescharacteristic
762C2D3×#91911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10595401C2
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
2. #10594457C2semidirect
3. #10592513C2semidirect
4. C3×#4809C2semidirect
5. C3×#4800C2semidirect
6. #10591601C2semidirect
7. #10591578C2semidirect
8. D3×#835C2semidirect
9. #10590965C2semidirect
10. Dic3×Dic12C2semidirect
11. #10590721C2semidirect
12. #10590680C2semidirect
13. #10590611C2semidirect
14. #10590501C2semidirect
15. #10590491C2semidirect
79. #4809D3semidirect
82. #4800D3semidirect
676. C32#3300semidirect
755. C3#80194semidirect
756. C3#81654semidirect

Maximal subgroups

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

subgroupindex
#105954012
#105944572
#105925132
C3×#48092
C3×#48002
#105916012
#105915782
D3×#8352
#105909652
Dic3×Dic122
#105907212
#105906802
#105906112
#105905012
#105904912
#816543
#801943