Finite Group Databasebeta

← #11887824

Subgroups — #11887824

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#10595402C211yesmaximal, characteristic
2#10594456C211yesmaximal, characteristic, complemented
3#10592499C211yesmaximal, characteristic, complemented
4C3×#4814C211yesmaximal, characteristic, complemented
5C3×#4809C211yesmaximal, characteristic, complemented
6#10591635C211yesmaximal, characteristic, complemented
7#10591579C211yesmaximal, characteristic, complemented
8D3×#835C211yesmaximal, characteristic, complemented
9#10590966C211yesmaximal, characteristic, complemented
10#10590818C211yesmaximal, characteristic, complemented
11#10590718C211yesmaximal, characteristic, complemented
12#10590679C211yesmaximal, characteristic, complemented
13#10590610C211yesmaximal, characteristic, complemented
14#10590577C211yesmaximal, characteristic, complemented
15#10590495C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#80194—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3799C2211yescharacteristic
20#64156C2211yescharacteristic
21#64099C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#892C2211yescharacteristic
27#63909C2211yescharacteristic
28#63907—21no—
29#63906—21no—
30#63904—21no—
31C4×#625C2211yescharacteristic
32#63891—21no—
33D3×C4⋊Dic3C2211yescharacteristic
34#63888—21no—
35#63877—21no—
36#63869—21no—
37#63858—21no—
38#63856C2211yescharacteristic
39#63843C2211yescharacteristic
40#63843C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×D3×C3⋊C8C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63648C2211yescharacteristic
47C8×C3⋊Dic3C2211yescharacteristic
48#63636C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×(C2×D3)⋊C8C2211yescharacteristic
52C3×#818C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63575C2211yescharacteristic
56#63572C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59#63565C2211yescharacteristic
60#63564C2211yescharacteristic
61#5817—31no—
62#5642—31no—
63#5633—31no—
64#5529—31no—
65C3×#485—31no—
66C3×#451—31no—
67C2×#835—31no—
68#5188—31no—
69#5187—31no—
70#5185—31no—
71Dic3×Q16—31no—
72#5051—31no—
73#5048—31no—
74#5002—31no—
75#4882—31no—
76#4873—31no—
77#4864—31no—
78#4857—31no—
79#4814D311yescharacteristic, complemented
80#4809D311yescharacteristic, complemented
81#4804—31no—
82D3×#103—31no—
83#4800—31no—
84#4800—31no—
85#4800—61no—
86#4798—31no—
87#4796—31no—
88#4736—31no—
89#4733—31no—
90#67⋊C8—31no—
91#67⋊C8—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#626—21no—
103C2×#626—21no—
104C2×#625D411yescharacteristic
105C2×#624—21no—
106C2×D3×Dic3—21no—
107#3799—22no—
108#3799—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3C2311yescharacteristic
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⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×Dic12—22no—
130#3724—21no—
131#3724D411yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141#3717—41no—
142D3×C3⋊C8—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C22×C3×Q8—31no—
146C2×#239—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C2×#235—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C3×C22⋊Q8—31no—
152C3×C22⋊Q8—31no—
153C3×#117—31no—
154#947—31no—
155#947—31no—
156#947—61no—
157#947—61no—
158#946—31no—
159#946—61no—
160#946C2×D311yescharacteristic
161Q8×Dic3—31no—
162Q8×Dic3—31no—
163C2×#216C2×D311yescharacteristic
164C2×#215—31no—
165#930—31no—
166#930—61no—
167C4×#67—31no—
168C4×#67—31no—
169C4×#67—61no—
170C2×C4⋊Dic3—31no—
171#924—31no—
172C22×C3⋊C8—31no—
173C22×C3⋊C8—31no—
174C2×Dic12C2×D311yescharacteristic
175C2×#204—31no—
176C2×D3×C8—31no—
177C2×D3×C8—31no—
178#898—61no—
179#897C2×D311yescharacteristic
180#896—61no—
181#895—31no—
182#893—61no—
183#892C2×D311yescharacteristic
184D3×C4⋊C4—31no—
185#890—31no—
186#890—31no—
187#890—61no—
188#890—61no—
189#887—31no—
190#887—31no—
191#886—61no—
192#885—61no—
193#884—61no—
194#883—61no—
195#879—61no—
196#877—61no—
197#872—61no—
198#870—61no—
199C3×#107—31no—
200C3×#106—31no—
201C3×#103—21no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103C2×D311yescharacteristic
205C3×#103C2×D311yescharacteristic
206C3×C22⋊C8—31no—
207C3×C22⋊C8—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—61no—
214#835C2×D311yescharacteristic
215#821—31no—
216#821—31no—
217#821—31no—
218#821—61no—
219(C2×D3)⋊C8C2×D311yescharacteristic
220(C2×D3)⋊C8C2×D311yescharacteristic
221#818—31no—
222#818C2×D311yescharacteristic
223#816—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226C8×Dic3—31no—
227C8×Dic3—31no—
228C8×Dic3—61no—
229#810—31no—
230#810—31no—
231#810C2×D311yescharacteristic
232#809—31no—
233#809—31no—
234#809—31no—
235#809—61no—
236#808C2×D311yescharacteristic
237#807—31no—
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⋊Dic3C2×D411yescharacteristic
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×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—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—42no—
268#626—42no—
269#625—22no—
270#624—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—31no—
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
299C22×C3×C4—31no—
300C22×C3×C4—31no—
301C22×C3×C4—61no—
302C2×#67—31no—
303C2×#67—31no—
304C2×#67—61no—
305C2×#67—61no—
306C22×Dic3—61no—
307#239—62no—
308#239—121no—
309D3×Q8—22no—
310D3×Q8—41no—
311#235—62no—
312#235—121no—
313C2×D12—31no—
314C2×D12—31no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12—61no—
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3C22×D311yescharacteristic
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—31no—
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—61no—
345#217—31no—
346#217—31no—
347#217—61no—
348#216—41no—
349#215—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—61no—
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—121no—
363(C2×D3)⋊C4—121no—
364C4⋊Dic3—21no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—121no—
387C4×Dic3—21no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—121no—
399C2×C3⋊C8—121no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—22no—
403#204—121no—
404D3×C8—121no—
405D3×C8—121no—
406C22×C32C22×D411yescharacteristic
407C2×C3⋊D3—41no—
408C2×C3⋊D3—41no—
409C2×C3⋊D3—41no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3#13512yes—
416C32×C4—41no—
417C32×C4—41no—
418C32×C4C2×#4111yescharacteristic
419C32×C4H(5,𝔽2)11yescharacteristic
420C3⋊Dic3—21no—
421C3⋊Dic3—21no—
422C3⋊Dic3—41no—
423C3×Dic3—21no—
424C3×Dic3—22no—
425C3×Dic3—21no—
426C3×Dic3—41no—
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—91no—
438#125—181no—
439#124—91no—
440#124—181no—
441#123—181no—
442C22⋊Q8—31no—
443C22⋊Q8—31no—
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—31no—
453#117—181no—
454C2×C4⋊C4—91no—
455#107—31no—
456#107—91no—
457#106—31no—
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—91no—
467#102—91no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—31no—
471C4×C8—91no—
472C23×C3—31no—
473C23×C3—31no—
474C22×D3—61no—
475C22×D3—61no—
476C22×D3—121no—
477C22×D3D3×D411yescharacteristic
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—
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×C4—61no—
507C2×C3×C4—122no—
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—62no—
511#67—62no—
512#67—122no—
513#67—122no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—121no—
527C2×Dic3—122no—
528C2×Dic3D3×D411yescharacteristic
529C2×Dic3D3×D411yescharacteristic
530D12—61no—
531D12—61no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12—121no—
536D12—122no—
537D12—122no—
538C4×D3—21no—
539C4×D3—21no—
540C4×D3—21no—
541C4×D3—21no—
542C4×D3—42no—
543C4×D3—122no—
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—81no—
565C3×D3—22no—
566C3×D3—41no—
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—91no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C22×C4—31no—
580C22×C4—31no—
581C22×C4—61no—
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—31no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
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—61no—
616C42—91no—
617C42—181no—
618C42—181no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—241no—
640C2×D3—241no—
641C2×D3—241no—
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—81no—
653C3×C4—81no—
654C3×C4—121no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4C2×#23711yescharacteristic
658C3×C4#100411yescharacteristic
659C3×C4D3×#4111yescharacteristic
660C3×C4#100911yescharacteristic
661Dic3—21no—
662Dic3—22no—
663Dic3—21no—
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—121no—
675Dic3—241no—
676C32#330011yescharacteristic, complemented, Sylow
677C23—31no—
678C23—31no—
679C23—181no—
680Q8—21no—
681Q8—21no—
682Q8—32no—
683Q8—61no—
684Q8—61no—
685Q8—61no—
686Q8—122no—
687D4—182no—
688D4—181no—
689D4—181no—
690D4—362no—
691D4—362no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—91no—
705C2×C4—91no—
706C2×C4—122no—
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—121no—
720C2×C3#559111yescharacteristic
721C2×C3#565411yescharacteristic
722C2×C3C2×#91911yescharacteristic
723C2×C3D3×#13511yescharacteristic
724C2×C3#577911yescharacteristic
725C2×C3#577911yescharacteristic
726D3—22no—
727D3—41no—
728D3—241no—
729D3—241no—
730D3—481no—
731C22—32no—
732C22—61no—
733C22—61no—
734C22—61no—
735C22—61no—
736C22—61no—
737C22—361no—
738C22—361no—
739C22—361no—
740C22D32×D411yescharacteristic
741C4—41no—
742C4—41no—
743C4—61no—
744C4—61no—
745C4—62no—
746C4—121no—
747C4—121no—
748C4—121no—
749C4—181no—
750C4—181no—
751C4—361no—
752C4#6430711yescharacteristic
753C4D3×#23711yescharacteristic
754C3—21no—
755C3#8019411yescharacteristic, complemented
756C3#8152411yescharacteristic, complemented
757C2—62no—
758C2—121no—
759C2—721no—
760C2#1059427411yescharacteristic
761C2#1059475211yescharacteristic
762C2D3×#91911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10595402C2
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. #10594456C2semidirect
3. #10592499C2semidirect
4. C3×#4814C2semidirect
5. C3×#4809C2semidirect
6. #10591635C2semidirect
7. #10591579C2semidirect
8. D3×#835C2semidirect
9. #10590966C2semidirect
10. #10590818C2semidirect
11. #10590718C2semidirect
12. #10590679C2semidirect
13. #10590610C2semidirect
14. #10590577C2semidirect
15. #10590495C2semidirect
79. #4814D3semidirect
80. #4809D3semidirect
676. C32#3300semidirect
755. C3#80194semidirect
756. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105954022
#105944562
#105924992
C3×#48142
C3×#48092
#105916352
#105915792
D3×#8352
#105909662
#105908182
#105907182
#105906792
#105906102
#105905772
#105904952
#815243
#801943