Finite Group Databasebeta

← #11872297

Subgroups — #11872297

Order 1152.

858 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595222C211yesmaximal, characteristic, complemented
2#10594501C211yesmaximal, characteristic, complemented
3#10592484C211yesmaximal, characteristic, complemented
4C3×#4781C211yesmaximal, characteristic, complemented
5C3×#4766C211yesmaximal, characteristic, complemented
6#10591481C211yesmaximal, characteristic, complemented
7#10591452C211yesmaximal, characteristic, complemented
8#10591435C211yesmaximal, characteristic, complemented
9#10590799C211yesmaximal, characteristic, complemented
10#10590779C211yesmaximal, characteristic, complemented
11#10590699C211yesmaximal, characteristic, complemented
12#10590679C211yesmaximal, characteristic, complemented
13#10590491C211yesmaximal, characteristic, complemented
14#10590483C211yesmaximal, characteristic, complemented
15#10590441C211yesmaximal, characteristic, complemented
16#81144—31nomaximal
17#80072—31nomaximal
18C2×C3×#237C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20C2×#3753C2211yescharacteristic
21#64102C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29C2×Dic3⋊Dic3—21no—
30#63955—21no—
31#63916—21no—
32#63911C2211yescharacteristic
33#63909C2211yescharacteristic
34#63898C2211yescharacteristic
35#63890—21no—
36D3×C4⋊Dic3C2211yescharacteristic
37#63886—21no—
38#63855C2211yescharacteristic
39#63853—21no—
40#63843C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63648C2211yescharacteristic
45#63642C2211yescharacteristic
46#63635C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63575C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5827—31no—
62#5697—31no—
63#5619—31no—
64#5546—31no—
65C3×#478—31no—
66C3×#449—31no—
67#5238—31no—
68#5164—31no—
69#5163—31no—
70#5150—31no—
71Dic3×D8—31no—
72#5063—31no—
73#5034—31no—
74#5015—31no—
75#4889—31no—
76#4882—31no—
77#4863—31no—
78#4852—31no—
79#4848—31no—
80#4840—31no—
81#4796—31no—
82#4788—31no—
83#4785—31no—
84#4785—31no—
85#4785—61no—
86#4781—31no—
87#4781D311yescharacteristic, complemented
88#4766D311yescharacteristic, complemented
89#4756—31no—
90#4736—31no—
91#4720—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C3×#237—22no—
100C3×#237—22no—
101C2×C3×D12—21no—
102C2×C3×D12C2311yescharacteristic
103C2×C3×C4×D3C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#626—21no—
106C2×#626—21no—
107C2×#626—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3757—21no—
113#3753—22no—
114#3752—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#217—21no—
119C3×#213—22no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×#204—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138Dic32—21no—
139Dic32—21no—
140#3717—22no—
141#3119—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#125—31no—
147C3×#121—31no—
148C3×C4×D4—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151C2×#215—31no—
152#940—31no—
153#939—61no—
154#938—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3—31no—
158D4×Dic3—61no—
159D4×Dic3—61no—
160D4×Dic3—61no—
161D4×Dic3C2×D311yescharacteristic
162C2×#213—31no—
163C2×#213—31no—
164C2×#213—61no—
165C2×#213C2×D311yescharacteristic
166#930—31no—
167C4×#67—61no—
168#926—31no—
169#926—61no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—61no—
172C2×Dic3⋊C4—61no—
173C2×#204—31no—
174C2×#204C2×D311yescharacteristic
175#895—31no—
176#895—61no—
177#895—61no—
178#895C2×D311yescharacteristic
179#894—61no—
180#894—61no—
181#893—31no—
182#893—31no—
183#893—31no—
184#893—61no—
185D3×C4⋊C4—31no—
186#890C2×D311yescharacteristic
187#887—31no—
188#886—61no—
189#883—61no—
190#67⋊C4—61no—
191#877—61no—
192#874—31no—
193#872—31no—
194C4×Dic6—31no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#102—21no—
200C3×#102—31no—
201C3×#102C2×D311yescharacteristic
202C3×#102C2×D311yescharacteristic
203C3×C22⋊C8—31no—
204#835—31no—
205#832—31no—
206#832—31no—
207#832C2×D311yescharacteristic
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#818—31no—
217#818C2×D311yescharacteristic
218#815—31no—
219#815—31no—
220#815—61no—
221Dic3⋊C8—31no—
222Dic3⋊C8C2×D311yescharacteristic
223C8×Dic3—31no—
224C8×Dic3—31no—
225#810—31no—
226#810C2×D311yescharacteristic
227#809—31no—
228#809—31no—
229#808—31no—
230#808—31no—
231#808—61no—
232#808C2×D311yescharacteristic
233#807—31no—
234C4⋊(C3⋊C8)—31no—
235C23×C32—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×D4—21no—
240C32×D4#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—81no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C4×C3⋊D3—81no—
250C3×#67—24no—
251C2×C3×Dic3—24no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—81no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—81no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#626—81no—
267#626—81no—
268#626—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—91no—
280#478—31no—
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—31no—
293C2×C3×D4—21no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4C22×D311yescharacteristic
298C2×C3×D4C22×D311yescharacteristic
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C2×#67—21no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C22×Dic3—21no—
307C22×Dic3—21no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312C22×Dic3—121no—
313#237—22no—
314#237—22no—
315C2×D12—21no—
316C2×D12—31no—
317C2×D12—31no—
318C2×D12—61no—
319C2×D12—61no—
320C2×D12—61no—
321C2×D12—61no—
322C2×D12C22×D311yescharacteristic
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—121no—
328C2×C4×D3C22×D311yescharacteristic
329C2×Dic6C22×D311yescharacteristic
330C3×SD16—62no—
331C3×D8—62no—
332C2×C3×C8—21no—
333C2×C3×C8—31no—
334C2×C3×C8—31no—
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—21no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
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×C42—31no—
347#217—21no—
348#217—31no—
349#217—31no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—121no—
354#215—62no—
355#213—22no—
356#213—64no—
357#213—62no—
358#213—62no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
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—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—31no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—31no—
381Dic3⋊C4—31no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398#204—22no—
399#204—62no—
400C22×C32—22no—
401C22×C32—41no—
402C22×C32—41no—
403C22×C32C22×D411yescharacteristic
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3×Dic3—22no—
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—91no—
439C4×Q8—91no—
440C4×D4—31no—
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#103—91no—
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463#102D3211yescharacteristic
464C22⋊C8—31no—
465C22⋊C8—91no—
466#97—91no—
467C4×C8—91no—
468C23×C3—21no—
469C23×C3—21no—
470C23×C3—31no—
471C23×C3—41no—
472C23×C3—61no—
473C22×D3—21no—
474C22×D3—61no—
475C22×D3—61no—
476C22×D3—121no—
477C22×D3D3×D411yescharacteristic
478C3×Q8—32no—
479C3×Q8—61no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—22no—
483C3×D4—41no—
484C3×D4—64no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—241no—
488C3×D4#23712yes—
489C3×D4#23912yes—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—64no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—241no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—24no—
507#67—241no—
508#67—241no—
509#67—241no—
510C2×Dic3—24no—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—81no—
523C2×Dic3—121no—
524C2×Dic3—241no—
525C2×Dic3—241no—
526C2×Dic3—241no—
527C2×Dic3—241no—
528C2×Dic3—242no—
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532D12—21no—
533D12—21no—
534D12—62no—
535D12—61no—
536D12—61no—
537D12—61no—
538D12—61no—
539D12—81no—
540D12—121no—
541D12—241no—
542D12—241no—
543D12—241no—
544C4×D3—21no—
545C4×D3—21no—
546C4×D3—241no—
547C4×D3—241no—
548C4×D3—241no—
549C4×D3—242no—
550C4×D3—241no—
551Dic6—21no—
552Dic6#23712yes—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C3⋊C8—62no—
561C3⋊C8—61no—
562C3⋊C8—61no—
563C2×C32—42no—
564C2×C32#52511yescharacteristic
565C2×C32#57611yescharacteristic
566C2×C32#57711yescharacteristic
567C3⋊D3—81no—
568C3×D3—41no—
569C3×D3—81no—
570#41—62no—
571#41—62no—
572C2×Q8—31no—
573C2×D4—31no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C2×D4C2×D3211yescharacteristic
581C22×C4—31no—
582C22×C4—61no—
583C22×C4—61no—
584C22×C4—181no—
585C22×C4—181no—
586C22×C4—181no—
587C22×C4—181no—
588SD16—62no—
589SD16—182no—
590D8—62no—
591D8—182no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—91no—
595C2×C8C2×D3211yescharacteristic
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—91no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4C2×D3211yescharacteristic
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—91no—
617C42—181no—
618C42—181no—
619C22×C3—22no—
620C22×C3—22no—
621C22×C3—21no—
622C22×C3—42no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—61no—
628C22×C3—61no—
629C22×C3—61no—
630C22×C3—81no—
631C22×C3—81no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3C2×D3×D411yescharacteristic
636C22×C3C2×D3×D411yescharacteristic
637C2×D3—21no—
638C2×D3—21no—
639C2×D3—21no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—122no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—121no—
650C2×D3—241no—
651C2×D3—241no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—62no—
660C3×C4—81no—
661C3×C4—121no—
662C3×C4—121no—
663C3×C4C2×#23711yescharacteristic
664C3×C4C2×#23711yescharacteristic
665C3×C4C2×#23911yescharacteristic
666C3×C4D3×#4111yescharacteristic
667Dic3—21no—
668Dic3—21no—
669Dic3—22no—
670Dic3—21no—
671Dic3—41no—
672Dic3—41no—
673Dic3—61no—
674Dic3—61no—
675Dic3—61no—
676Dic3—61no—
677Dic3—121no—
678Dic3—121no—
679Dic3—121no—
680Dic3—121no—
681Dic3—241no—
682C32#311911yescharacteristic, complemented, Sylow
683C23—21no—
684C23—31no—
685C23—61no—
686C23—181no—
687Q8—32no—
688Q8—61no—
689D4—21no—
690D4—64no—
691D4—61no—
692D4—61no—
693D4—181no—
694D4—181no—
695D4—241no—
696D4—721no—
697D4—721no—
698D4—721no—
699D4#379612yes—
700C2×C4—21no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—64no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—61no—
709C2×C4—61no—
710C2×C4—91no—
711C2×C4—91no—
712C2×C4—181no—
713C2×C4—241no—
714C2×C4—721no—
715C2×C4—721no—
716C2×C4—721no—
717C2×C4—721no—
718C2×C4C22×D3211yescharacteristic
719C8—21no—
720C8—61no—
721C8—61no—
722C8—181no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—42no—
727C2×C3—42no—
728C2×C3—82no—
729C2×C3—121no—
730C2×C3—241no—
731C2×C3#558611yescharacteristic
732C2×C3#562711yescharacteristic
733C2×C3#576911yescharacteristic
734C2×C3#577011yescharacteristic
735C2×C3#577411yescharacteristic
736C2×C3#577511yescharacteristic
737D3—41no—
738D3—81no—
739D3—242no—
740D3—241no—
741D3—241no—
742C22—22no—
743C22—41no—
744C22—41no—
745C22—61no—
746C22—61no—
747C22—61no—
748C22—121no—
749C22—121no—
750C22—121no—
751C22—361no—
752C22—361no—
753C22—361no—
754C22D32×D411yescharacteristic
755C4—41no—
756C4—61no—
757C4—62no—
758C4—61no—
759C4—61no—
760C4—121no—
761C4—121no—
762C4—181no—
763C4—181no—
764C4—361no—
765C4C2×#379611yescharacteristic
766C4D3×#23711yescharacteristic
767C3—21no—
768C3#8007211yescharacteristic, complemented
769C3#8114411yescharacteristic, complemented
770C2—42no—
771C2—121no—
772C2—241no—
773C2—721no—
774C2#1059405511yescharacteristic
775C2#1059473611yescharacteristic
776C2#1059475511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
hypercenter#102D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595222C2semidirect
2. #10594501C2semidirect
3. #10592484C2semidirect
4. C3×#4781C2semidirect
5. C3×#4766C2semidirect
6. #10591481C2semidirect
7. #10591452C2semidirect
8. #10591435C2semidirect
9. #10590799C2semidirect
10. #10590779C2semidirect
11. #10590699C2semidirect
12. #10590679C2semidirect
13. #10590491C2semidirect
14. #10590483C2semidirect
15. #10590441C2semidirect
87. #4781D3semidirect
88. #4766D3semidirect
682. C32#3119semidirect
768. C3#80072semidirect
769. C3#81144semidirect

Maximal subgroups

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

subgroupindex
#105952222
#105945012
#105924842
C3×#47812
C3×#47662
#105914812
#105914522
#105914352
#105907992
#105907792
#105906992
#105906792
#105904912
#105904832
#105904412
#811443
#800723