Finite Group Databasebeta

← #11872336

Subgroups — #11872336

Order 1152.

852 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595394C211yesmaximal, characteristic, complemented
2#10594501C211yesmaximal, characteristic, complemented
3#10592516C211yesmaximal, characteristic, complemented
4C3×#4810C211yesmaximal, characteristic, complemented
5C3×#4799C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591588C211yesmaximal, characteristic, complemented
8#10591571C211yesmaximal, characteristic, complemented
9#10590781C211yesmaximal, characteristic, complemented
10#10590753C211yesmaximal, characteristic, complemented
11#10590699C211yesmaximal, characteristic, complemented
12#10590677C211yesmaximal, characteristic, complemented
13#10590467C211yesmaximal, characteristic, complemented
14#10590459C211yesmaximal, characteristic, complemented
15#10590438C211yesmaximal, characteristic, complemented
16#81208—31nomaximal
17#80073—31nomaximal
18C2×C3×#239C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21#64102C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×D24C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63916—21no—
28#63911C2211yescharacteristic
29#63909C2211yescharacteristic
30#63898—21no—
31#63898C2211yescharacteristic
32#63898C2211yescharacteristic
33Dic3×D12—21no—
34Dic3×D12C2211yescharacteristic
35#63890—21no—
36D3×C4⋊Dic3—21no—
37D3×C4⋊Dic3C2211yescharacteristic
38#63886—21no—
39#63855—21no—
40#63855C2211yescharacteristic
41#63853—21no—
42C2×#3714C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63648C2211yescharacteristic
45#63642C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5827—31no—
62#5697—31no—
63#5619—31no—
64#5574—31no—
65C3×#479—31no—
66C3×#449—31no—
67#5238—31no—
68#5163—31no—
69Dic3×SD16—31no—
70#5152—31no—
71#5150—31no—
72#5066—31no—
73#5033—31no—
74#5027—31no—
75#4882—31no—
76#4872—31no—
77#4869—31no—
78#4863—31no—
79#4843—31no—
80#4840—31no—
81#4817—31no—
82#4817—31no—
83#4817—61no—
84#4810—31no—
85#4810D311yescharacteristic, complemented
86#4799D311yescharacteristic, complemented
87#4788—31no—
88#4763—31no—
89#4756—31no—
90#4735—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C3×#239—22no—
96C3×#239—22no—
97C2×C3×D12—21no—
98C2×C3×D12—21no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×#626—21no—
104C2×#626—21no—
105C2×#626—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3755—22no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#215—22no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×D24—22no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140#3714—22no—
141#3119—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#125—31no—
147C3×#121—31no—
148C3×C4×Q8—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151Q8×Dic3—61no—
152Q8×Dic3C2×D311yescharacteristic
153C2×#215—31no—
154C2×#215—31no—
155C2×#215—61no—
156C2×#215C2×D311yescharacteristic
157#940—31no—
158#939—61no—
159#938—61no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165C2×#213—31no—
166#930—31no—
167#926—31no—
168#926—61no—
169C2×C4⋊Dic3—31no—
170C2×C4⋊Dic3—61no—
171C2×D24—31no—
172C2×D24C2×D311yescharacteristic
173#895—31no—
174#895—61no—
175#895—61no—
176#895C2×D311yescharacteristic
177#894—61no—
178#894—61no—
179#893—31no—
180#893—31no—
181#893—31no—
182#893—31no—
183#893—61no—
184#893—61no—
185D3×C4⋊C4—31no—
186D3×C4⋊C4—61no—
187#890C2×D311yescharacteristic
188#886—61no—
189#883—61no—
190#874—31no—
191C4×D12—31no—
192C4×D12—61no—
193#872—31no—
194#872—61no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#103—21no—
199C3×#103—31no—
200C3×#103C2×D311yescharacteristic
201C3×#103C2×D311yescharacteristic
202C3×#102—31no—
203C3×C22⋊C8—31no—
204#835C2×D311yescharacteristic
205#832—31no—
206#832—31no—
207#832—31no—
208#830—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8C2×D311yescharacteristic
216#817—31no—
217#817C2×D311yescharacteristic
218#815—31no—
219#815—31no—
220#815—61no—
221Dic3⋊C8—31no—
222Dic3⋊C8C2×D311yescharacteristic
223C8×Dic3—31no—
224C8×Dic3—31no—
225#809—31no—
226#809—31no—
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233#807C2×D311yescharacteristic
234C4⋊(C3⋊C8)—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×Q8—21no—
240C32×Q8#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C4×C3⋊D3—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—24no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—81no—
260C3×D12#4112yes—
261C3×C4×D3—24no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264#626—81no—
265#626—81no—
266#626—81no—
267D3×Dic3—81no—
268D3×Dic3—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—31no—
280#478—91no—
281#460—91no—
282#459—91no—
283#449—31no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C3×#41—62no—
291C3×#41—62no—
292C2×C3×Q8—21no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C2×C3×D4—31no—
297C2×C3×D4—61no—
298C2×C3×D4—61no—
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308#239—22no—
309#239—22no—
310C2×D12—21no—
311C2×D12—21no—
312C2×D12—31no—
313C2×D12—31no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12—61no—
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×C4×D3—21no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—121no—
328C2×C4×D3C22×D311yescharacteristic
329C3×SD16—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⋊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×C42—31no—
346C3×C42—61no—
347#217—31no—
348#217—31no—
349#217—61no—
350#217—61no—
351#217—61no—
352#215—22no—
353#215—64no—
354#215—62no—
355#215—62no—
356#213—62no—
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—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—121no—
368C4⋊Dic3—21no—
369C4⋊Dic3—21no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—31no—
373C4⋊Dic3—31no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3—121no—
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—31no—
383Dic3⋊C4—31no—
384Dic3⋊C4—61no—
385C4×Dic3—21no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—121no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398D24—22no—
399D24—62no—
400C22×C32C22×D411yescharacteristic
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3×D3—21no—
405C2×C3×D3—22no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C32×C4—22no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C4C2×#4111yescharacteristic
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C2×#41—31no—
426C2×SD16—31no—
427C2×SD16—91no—
428C2×D8—31no—
429C2×D8—91no—
430#127—91no—
431#125—31no—
432#123—181no—
433#123—181no—
434#121—31no—
435#121—91no—
436#121—181no—
437#121—181no—
438C4×Q8—31no—
439C4×Q8—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—91no—
444C4×D4—181no—
445C4×D4—181no—
446#117—91no—
447#117—181no—
448C2×C4⋊C4—91no—
449C2×C4⋊C4—181no—
450#107—31no—
451#107—91no—
452#106—31no—
453#106—91no—
454C4⋊C8—31no—
455C4⋊C8—91no—
456#103—31no—
457#103D3211yescharacteristic
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463#102—91no—
464C22⋊C8—31no—
465C22⋊C8—91no—
466#97—91no—
467C4×C8—91no—
468C23×C3—31no—
469C23×C3—61no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—61no—
474C22×D3—61no—
475C22×D3—121no—
476C22×D3D3×D411yescharacteristic
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—22no—
480C3×Q8—41no—
481C3×Q8#23712yes—
482C3×Q8#23912yes—
483C3×D4—32no—
484C3×D4—64no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—61no—
488C3×D4—241no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—64no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—241no—
507#67—241no—
508#67—241no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—121no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3—241no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527D12—24no—
528D12—21no—
529D12—21no—
530D12—21no—
531D12—62no—
532D12—61no—
533D12—61no—
534D12—61no—
535D12—61no—
536D12—81no—
537D12—121no—
538D12—241no—
539D12—241no—
540D12—241no—
541D12#23712yes—
542C4×D3—24no—
543C4×D3—21no—
544C4×D3—21no—
545C4×D3—241no—
546C4×D3—241no—
547C4×D3—241no—
548C4×D3—241no—
549C4×D3—241no—
550C4×D3—242no—
551C4×D3—241no—
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#52511yescharacteristic
563C2×C32#57611yescharacteristic
564C2×C32#57711yescharacteristic
565C3⋊D3—81no—
566C3×D3—41no—
567C3×D3—42no—
568C3×D3—81no—
569#41—62no—
570#41—62no—
571C2×Q8C2×D3211yescharacteristic
572C2×D4—31no—
573C2×D4—31no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C22×C4—31no—
581C22×C4—61no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586C22×C4—181no—
587SD16—62no—
588SD16—182no—
589D8—62no—
590D8—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—91no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C42—31no—
615C42—61no—
616C42—91no—
617C42—181no—
618C22×C3—21no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—62no—
622C22×C3—61no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3—121no—
628C22×C3C2×D3×D411yescharacteristic
629C22×C3C2×D3×D411yescharacteristic
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—22no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—122no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—241no—
647C2×D3—241no—
648C3×C4—22no—
649C3×C4—22no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—42no—
653C3×C4—41no—
654C3×C4—41no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—81no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4C2×#23711yescharacteristic
662C3×C4C2×#23711yescharacteristic
663C3×C4C2×#23911yescharacteristic
664C3×C4D3×#4111yescharacteristic
665Dic3—21no—
666Dic3—21no—
667Dic3—21no—
668Dic3—41no—
669Dic3—41no—
670Dic3—61no—
671Dic3—61no—
672Dic3—61no—
673Dic3—61no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678Dic3—241no—
679C32#311911yescharacteristic, complemented, Sylow
680C23—31no—
681C23—61no—
682C23—61no—
683C23—181no—
684Q8—21no—
685Q8#379612yes—
686D4—32no—
687D4—64no—
688D4—61no—
689D4—61no—
690D4—61no—
691D4—181no—
692D4—181no—
693D4—241no—
694D4—721no—
695D4—721no—
696D4—721no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—31no—
702C2×C4—64no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—91no—
708C2×C4—91no—
709C2×C4—181no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4—721no—
713C2×C4—721no—
714C2×C4—721no—
715C2×C4C22×D3211yescharacteristic
716C8—21no—
717C8—61no—
718C8—61no—
719C8—181no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—121no—
724C2×C3—122no—
725C2×C3—241no—
726C2×C3#558611yescharacteristic
727C2×C3#562711yescharacteristic
728C2×C3#576911yescharacteristic
729C2×C3#577011yescharacteristic
730C2×C3#577411yescharacteristic
731C2×C3#577811yescharacteristic
732D3—41no—
733D3—42no—
734D3—81no—
735D3—242no—
736D3—241no—
737D3—241no—
738C22—62no—
739C22—61no—
740C22—61no—
741C22—61no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—361no—
748C22—361no—
749C22—361no—
750C22D32×D411yescharacteristic
751C4—22no—
752C4—41no—
753C4—61no—
754C4—61no—
755C4—61no—
756C4—121no—
757C4—121no—
758C4—181no—
759C4—181no—
760C4—361no—
761C4C2×#379611yescharacteristic
762C4D3×#23711yescharacteristic
763C3—21no—
764C3#8007311yescharacteristic, complemented
765C3#8120811yescharacteristic, complemented
766C2—121no—
767C2—122no—
768C2—241no—
769C2—721no—
770C2#1059405511yescharacteristic
771C2#1059475511yescharacteristic
772C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
hypercenter#103D32
hypocenterC32#3119
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. #10595394C2semidirect
2. #10594501C2semidirect
3. #10592516C2semidirect
4. C3×#4810C2semidirect
5. C3×#4799C2semidirect
6. #10591617C2semidirect
7. #10591588C2semidirect
8. #10591571C2semidirect
9. #10590781C2semidirect
10. #10590753C2semidirect
11. #10590699C2semidirect
12. #10590677C2semidirect
13. #10590467C2semidirect
14. #10590459C2semidirect
15. #10590438C2semidirect
85. #4810D3semidirect
86. #4799D3semidirect
679. C32#3119semidirect
764. C3#80073semidirect
765. C3#81208semidirect

Maximal subgroups

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

subgroupindex
#105953942
#105945012
#105925162
C3×#48102
C3×#47992
#105916172
#105915882
#105915712
#105907812
#105907532
#105906992
#105906772
#105904672
#105904592
#105904382
#812083
#800733