Finite Group Databasebeta

← #11887817

Subgroups — #11887817

Order 1152.

853 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595362C211yesmaximal, characteristic
2#10594337C211yesmaximal, characteristic, complemented
3C3⋊D3×#103C211yesmaximal, characteristic, complemented
4C3×#4815C211yesmaximal, characteristic, complemented
5C3×#4798C211yesmaximal, characteristic, complemented
6#10591635C211yesmaximal, characteristic, complemented
7#10591614C211yesmaximal, characteristic, complemented
8#10591603C211yesmaximal, characteristic, complemented
9#10590960C211yesmaximal, characteristic, complemented
10#10590906C211yesmaximal, characteristic, complemented
11#10590843C211yesmaximal, characteristic, complemented
12#10590809C211yesmaximal, characteristic, complemented
13#10590608C211yesmaximal, characteristic, complemented
14#10590510C211yesmaximal, characteristic, complemented
15#10590481C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#80616—31nomaximal
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×#3795C2211yescharacteristic
20C2×C8×C3⋊D3C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63916C2211yescharacteristic
29#63913—21no—
30#63912—21no—
31C4×#626C2211yescharacteristic
32#63896—21no—
33#63881—21no—
34#63874—21no—
35#63871C2211yescharacteristic
36#63869C2211yescharacteristic
37#63867—21no—
38#63859—21no—
39#63856C2211yescharacteristic
40#63853—21no—
41#63844C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63643C2211yescharacteristic
47#63637C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#807C2211yescharacteristic
54#63575C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5677—31no—
62#5633—31no—
63#5581—31no—
64#5529—31no—
65C3×#485—31no—
66C3×#464—31no—
67#5188—31no—
68#5186—31no—
69#5173—31no—
70#5171—31no—
71#5056—31no—
72#5051—31no—
73C4×#216—31no—
74#5002—31no—
75#4882—31no—
76#4873—31no—
77#4864—31no—
78#4857—31no—
79#4834—31no—
80#4829—31no—
81#4815D311yescharacteristic, complemented
82#4809—31no—
83D3×#103—31no—
84D3×#103—31no—
85D3×#103—61no—
86#4800—31no—
87#4798D311yescharacteristic, complemented
88#4774—31no—
89#4772—31no—
90#4733—31no—
91#67⋊C8—31no—
92C2×C32×Q8C2311yescharacteristic
93Q8×C3⋊D3—22no—
94Q8×C3⋊D3—41no—
95C2×C4×C3⋊D3—21no—
96C2×C4×C3⋊D3—21no—
97C2×C4×C3⋊D3C2311yescharacteristic
98C2×#634—21no—
99C2×#634C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#626—21no—
104C2×#626D411yescharacteristic
105C2×#625—21no—
106C2×D3×Dic3—21no—
107#3795—22no—
108#3795—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C8×C3⋊D3—41no—
115C3×#216—41no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×#204—41no—
130#3724—21no—
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136#3722—21no—
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3D411yescharacteristic
141Dic32—21no—
142#3719—22no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—61no—
148C2×#237—31no—
149C2×#235—31no—
150C2×C3×Q16—31no—
151C2×C3×SD16—31no—
152C3×#124—31no—
153C3×C22⋊Q8—31no—
154C3×C4×Q8—31no—
155C3×#117—31no—
156#947C2×D311yescharacteristic
157#946—31no—
158#946—31no—
159#946C2×D311yescharacteristic
160C2×#216—31no—
161C2×#216C2×D311yescharacteristic
162#938—31no—
163C4×#67—31no—
164#924—31no—
165C22×C3⋊C8—31no—
166C2×Dic12—31no—
167C2×#204C2×D311yescharacteristic
168C2×D3×C8—31no—
169C2×D3×C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8—61no—
172#897—31no—
173#896—61no—
174#895—31no—
175#894—61no—
176#893—61no—
177#892C2×D311yescharacteristic
178D3×C4⋊C4—31no—
179D3×C4⋊C4—31no—
180D3×C4⋊C4—61no—
181#890—31no—
182#889—61no—
183#887—31no—
184#887C2×D311yescharacteristic
185#885—61no—
186#885—61no—
187#884—61no—
188#884—61no—
189#883—61no—
190#67⋊C4—61no—
191#879—61no—
192#878—61no—
193#876—61no—
194C4×D12—31no—
195#872—61no—
196#872—61no—
197#870—31no—
198#870—61no—
199C4×Dic6—31no—
200C3×#107—31no—
201C3×#106—31no—
202C3×C4⋊C8—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207C3×#102—31no—
208C3×C22⋊C8—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—61no—
213#835C2×D311yescharacteristic
214#832—31no—
215#832—31no—
216#821—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—31no—
219(C2×D3)⋊C8C2×D311yescharacteristic
220#818—31no—
221#817C2×D311yescharacteristic
222#816—31no—
223#816—31no—
224#816—31no—
225#816—61no—
226Dic3⋊C8C2×D311yescharacteristic
227C8×Dic3—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—61no—
233#809—31no—
234#809C2×D311yescharacteristic
235#807—31no—
236#807C2×D311yescharacteristic
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—
251C4×C3⋊D3—42no—
252C4×C3⋊D3—42no—
253#634—21no—
254#634—42no—
255#634#4112yes—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×D12—21no—
263C3×D12—21no—
264C3×C4×D3—21no—
265C3×C4×D3—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#626—22no—
269#626—42no—
270#625—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—31no—
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—
296C22×C3×C4—31no—
297C2×#67—31no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302D3×Q8—62no—
303D3×Q8—62no—
304D3×Q8—64no—
305D3×Q8—121no—
306D3×Q8—121no—
307D3×Q8—122no—
308#237—62no—
309#237—121no—
310#235—62no—
311#235—121no—
312C2×D12—31no—
313C2×D12—61no—
314C2×D12C22×D311yescharacteristic
315C2×C4×D3—31no—
316C2×C4×D3—31no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—121no—
324C2×C4×D3—121no—
325C2×C4×D3C22×D311yescharacteristic
326C2×Dic6—31no—
327C2×Dic6—31no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×Dic6—61no—
331C2×Dic6—121no—
332C2×Dic6C22×D311yescharacteristic
333C3×Q16—121no—
334C3×SD16—121no—
335C2×C3×C8—21no—
336C2×C3×C8—31no—
337C2×C3×C8—31no—
338C2×C3×C8C22×D311yescharacteristic
339C2×C3×C8C22×D311yescharacteristic
340C3×C4⋊C4—21no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4—61no—
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C4⋊C4C22×D311yescharacteristic
347C3×C22⋊C4—61no—
348C3×C22⋊C4—61no—
349C3×C22⋊C4—61no—
350C3×C22⋊C4—61no—
351C3×C42—31no—
352C3×C42—61no—
353C3×C42—61no—
354#217—31no—
355#217—61no—
356#217—61no—
357#216—41no—
358#216—62no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—21no—
363(C2×D3)⋊C4—31no—
364(C2×D3)⋊C4—31no—
365(C2×D3)⋊C4—31no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—31no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3C22×D311yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378Dic3⋊C4—21no—
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—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—121no—
392C4×Dic3—21no—
393C4×Dic3—21no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3C22×D311yescharacteristic
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—121no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403Dic12—62no—
404#204—41no—
405D3×C8—121no—
406D3×C8—121no—
407D3×C8—121no—
408D3×C8—122no—
409C22×C32C22×D411yescharacteristic
410C2×C3⋊D3—21no—
411C2×C3⋊D3—21no—
412C2×C3⋊D3#13512yes—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3—21no—
416C2×C3×D3—41no—
417C2×C3×D3—41no—
418C2×C3×D3—41no—
419C32×C4—41no—
420C32×C4—41no—
421C32×C4C2×#4111yescharacteristic
422C32×C4H(5,𝔽2)11yescharacteristic
423C3⋊Dic3—21no—
424C3⋊Dic3—22no—
425C3⋊Dic3—41no—
426C3×Dic3—21no—
427C3×Dic3—21no—
428C3×Dic3—21no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3—41no—
432C2×#41—91no—
433C22×Q8—91no—
434C2×Q16—31no—
435C2×Q16—91no—
436C2×SD16—31no—
437C22×C8—91no—
438C22×C8—91no—
439#126—181no—
440#125—91no—
441#125—181no—
442#124—31no—
443#124—181no—
444#123—181no—
445C22⋊Q8—31no—
446C22⋊Q8—91no—
447C22⋊Q8—91no—
448C22⋊Q8—181no—
449#121—91no—
450#121—181no—
451C4×Q8—31no—
452C4×Q8—91no—
453C4×D4—91no—
454C4×D4—181no—
455#117—31no—
456#117—181no—
457C2×C4⋊C4—91no—
458#107—31no—
459#107—91no—
460#106—31no—
461C4⋊C8—31no—
462#103—31no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103D3211yescharacteristic
469#102—31no—
470#102—91no—
471#102—91no—
472C22⋊C8—31no—
473C22⋊C8—91no—
474C4×C8—91no—
475C23×C3—31no—
476C23×C3—61no—
477C22×D3—21no—
478C22×D3—31no—
479C22×D3—31no—
480C22×D3—61no—
481C22×D3D3×D411yescharacteristic
482C3×Q8—22no—
483C3×Q8—21no—
484C3×Q8—21no—
485C3×Q8—21no—
486C3×Q8—21no—
487C3×Q8—41no—
488C3×Q8—61no—
489C3×Q8—61no—
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×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509#67—62no—
510#67—122no—
511#67—122no—
512#67—122no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—122no—
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529D12—21no—
530D12—21no—
531D12—62no—
532D12—122no—
533C4×D3—21no—
534C4×D3—21no—
535C4×D3—62no—
536C4×D3—62no—
537C4×D3—61no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—61no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—122no—
545C4×D3—122no—
546C4×D3—124no—
547C4×D3—242no—
548Dic6—21no—
549Dic6—21no—
550Dic6—32no—
551Dic6—32no—
552Dic6—62no—
553Dic6—61no—
554Dic6—61no—
555Dic6—121no—
556Dic6—122no—
557Dic6—122no—
558Dic6—124no—
559C3×C8—21no—
560C3×C8—21no—
561C3×C8—41no—
562C3×C8—61no—
563C3×C8—61no—
564C3⋊C8—21no—
565C3⋊C8—21no—
566C3⋊C8—61no—
567C3⋊C8—61no—
568C3⋊C8—121no—
569C2×C32#54611yescharacteristic
570C2×C32C2×#13511yescharacteristic
571C2×C32#57811yescharacteristic
572C3⋊D3—22no—
573C3×D3—41no—
574C3×D3—81no—
575#41—182no—
576#41—361no—
577C2×Q8—31no—
578C2×Q8—91no—
579C2×Q8—181no—
580C2×Q8—182no—
581C2×Q8—361no—
582C2×Q8C2×D3211yescharacteristic
583C2×D4—31no—
584C2×D4—91no—
585C2×D4—181no—
586C2×D4—181no—
587C22×C4—31no—
588C22×C4—91no—
589C22×C4—181no—
590C22×C4—181no—
591C22×C4—181no—
592Q16—121no—
593Q16—182no—
594SD16—121no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—91no—
598C2×C8—361no—
599C2×C8—361no—
600C2×C8C2×D3211yescharacteristic
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—61no—
604C4⋊C4—61no—
605C4⋊C4—91no—
606C4⋊C4—91no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4—181no—
611C4⋊C4—181no—
612C4⋊C4—181no—
613C4⋊C4C2×D3211yescharacteristic
614C22⋊C4—61no—
615C22⋊C4—61no—
616C22⋊C4—61no—
617C22⋊C4—61no—
618C22⋊C4—91no—
619C22⋊C4—91no—
620C22⋊C4—181no—
621C22⋊C4—181no—
622C22⋊C4—181no—
623C42—31no—
624C42—61no—
625C42—61no—
626C42—181no—
627C22×C3—21no—
628C22×C3—61no—
629C22×C3—61no—
630C22×C3—61no—
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—32no—
640C2×D3—32no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—62no—
645C2×D3—62no—
646C2×D3—62no—
647C2×D3—61no—
648C2×D3—61no—
649C2×D3—61no—
650C2×D3—61no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—42no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—41no—
657C3×C4—41no—
658C3×C4—61no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—81no—
662C3×C4—121no—
663C3×C4—121no—
664C3×C4—121no—
665C3×C4#100411yescharacteristic
666C3×C4D3×#4111yescharacteristic
667C3×C4D3×#4111yescharacteristic
668C3×C4#100911yescharacteristic
669Dic3—21no—
670Dic3—21no—
671Dic3—21no—
672Dic3—41no—
673Dic3—41no—
674Dic3—41no—
675Dic3—62no—
676Dic3—62no—
677Dic3—61no—
678Dic3—62no—
679Dic3—61no—
680Dic3—122no—
681Dic3—121no—
682Dic3—121no—
683Dic3—241no—
684C32#330011yescharacteristic, complemented, Sylow
685C23—31no—
686C23—61no—
687C23—91no—
688Q8—21no—
689Q8—21no—
690Q8—61no—
691Q8—61no—
692Q8—92no—
693Q8—181no—
694Q8—362no—
695D4—61no—
696D4—61no—
697D4—182no—
698D4—362no—
699D4—362no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—31no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—61no—
709C2×C4—61no—
710C2×C4—91no—
711C2×C4—181no—
712C2×C4—181no—
713C2×C4—181no—
714C2×C4—181no—
715C2×C4—362no—
716C2×C4—362no—
717C2×C4—362no—
718C2×C4C22×D3211yescharacteristic
719C8—21no—
720C8—61no—
721C8—61no—
722C8—181no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—121no—
727C2×C3—241no—
728C2×C3#561211yescharacteristic
729C2×C3#565411yescharacteristic
730C2×C3D3×#13511yescharacteristic
731C2×C3D3×#13511yescharacteristic
732C2×C3#577911yescharacteristic
733C2×C3#577911yescharacteristic
734D3—41no—
735D3—64no—
736D3—62no—
737D3—62no—
738D3—81no—
739C22—61no—
740C22—61no—
741C22—61no—
742C22—92no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—181no—
747C22—181no—
748C22D32×D411yescharacteristic
749C4—41no—
750C4—41no—
751C4—61no—
752C4—61no—
753C4—61no—
754C4—121no—
755C4—121no—
756C4—121no—
757C4—181no—
758C4—182no—
759C4—361no—
760C4#6430611yescharacteristic
761C4#6431411yescharacteristic
762C3—21no—
763C3#8061611yescharacteristic, complemented
764C3#8152411yescharacteristic, complemented
765C2—121no—
766C2—182no—
767C2—241no—
768C2#1059427911yescharacteristic
769C2#1059474711yescharacteristic
770C2#1059476911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10595362C2
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. #10594337C2semidirect
3. C3⋊D3×#103C2semidirect
4. C3×#4815C2semidirect
5. C3×#4798C2semidirect
6. #10591635C2semidirect
7. #10591614C2semidirect
8. #10591603C2semidirect
9. #10590960C2semidirect
10. #10590906C2semidirect
11. #10590843C2semidirect
12. #10590809C2semidirect
13. #10590608C2semidirect
14. #10590510C2semidirect
15. #10590481C2semidirect
81. #4815D3semidirect
87. #4798D3semidirect
684. C32#3300semidirect
763. C3#80616semidirect
764. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105953622
#105943372
C3⋊D3×#1032
C3×#48152
C3×#47982
#105916352
#105916142
#105916032
#105909602
#105909062
#105908432
#105908092
#105906082
#105905102
#105904812
#815243
#806163