Finite Group Databasebeta

← #11887835

Subgroups — #11887835

Order 1152.

834 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#10595344C211yesmaximal, characteristic, complemented
2#10594329C211yesmaximal, characteristic
3#10592506C211yesmaximal, characteristic, complemented
4C3×#4813C211yesmaximal, characteristic, complemented
5C3×#4790C211yesmaximal, characteristic, complemented
6#10591657C211yesmaximal, characteristic, complemented
7#10591654C211yesmaximal, characteristic, complemented
8#10591607C211yesmaximal, characteristic, complemented
9#10590872C211yesmaximal, characteristic, complemented
10C8×#626C211yesmaximal, characteristic, complemented
11#10590690C211yesmaximal, characteristic, complemented
12#10590672C211yesmaximal, characteristic, complemented
13#10590544C211yesmaximal, characteristic, complemented
14#10590448C211yesmaximal, characteristic, complemented
15#10590442C211yesmaximal, characteristic, complemented
16#80769—31nomaximal
17#79736—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C2×C8×C3⋊D3C2211yescharacteristic
23#64104C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C2×C3×#216C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C3×#897C2211yescharacteristic
30C3×#887C2211yescharacteristic
31#63910—21no—
32C4×#626C2211yescharacteristic
33#63900C2211yescharacteristic
34#63895—21no—
35#63894—21no—
36#63869C2211yescharacteristic
37#63864C2211yescharacteristic
38#63859—21no—
39#63854—21no—
40#63852—21no—
41#63847—21no—
42#63841C2211yescharacteristic
43#63836—21no—
44C32×#103C2211yescharacteristic
45#63648C2211yescharacteristic
46#63635C2211yescharacteristic
47C3×#816C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×C8×Dic3C2211yescharacteristic
50C3×#807C2211yescharacteristic
51C3×#807C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63557C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61#5639—31no—
62#5633—31no—
63#5581—31no—
64#5576—31no—
65C3×#467—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5186—31no—
69#5186—31no—
70#5185—31no—
71#5113—31no—
72C8×#67—31no—
73#5047—31no—
74#5045—31no—
75#5028—31no—
76#5022—31no—
77#4888—31no—
78#4882—31no—
79#4882—31no—
80#4877—31no—
81#4813D311yescharacteristic, complemented
82#4807—31no—
83#4807—31no—
84#4807—61no—
85#4804—31no—
86D3×#103—31no—
87D3×#103—31no—
88#4800—31no—
89#4790D311yescharacteristic, complemented
90#4697—31no—
91C8×D12—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#626D411yescharacteristic
102C2×#624—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—41no—
107#3797—22no—
108#3797—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3755—41no—
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C8×C3⋊D3—41no—
118C3×#216—22no—
119C3×#216—41no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3—21no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C3×D3×C8—41no—
134#3724—21no—
135#3724—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3D411yescharacteristic
138#3722—21no—
139#3722—21no—
140#3722D411yescharacteristic
141(C2×D3)⋊Dic3—21no—
142(C2×D3)⋊Dic3D411yescharacteristic
143Dic32—21no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×#235—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—31no—
156#947—31no—
157#946—31no—
158#946—31no—
159#946—61no—
160#946C2×D311yescharacteristic
161Q8×Dic3C2×D311yescharacteristic
162C2×#216C2×D311yescharacteristic
163C2×#216C2×D311yescharacteristic
164C2×#215—31no—
165C2×#215—31no—
166C2×#215—61no—
167C4×#67—31no—
168#926—31no—
169C2×D3×C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8—61no—
172C2×D3×C8C2×D311yescharacteristic
173#897—61no—
174#897C2×D311yescharacteristic
175#896—61no—
176#895—31no—
177#895—31no—
178#895—61no—
179#895—61no—
180#894—61no—
181#893—61no—
182#892—31no—
183#892—61no—
184D3×C4⋊C4—31no—
185D3×C4⋊C4—31no—
186#890—31no—
187#889—61no—
188#889—61no—
189#887C2×D311yescharacteristic
190#885—61no—
191#884—61no—
192#883—61no—
193#879—61no—
194#876—61no—
195#875—31no—
196#875—61no—
197C4×D12—31no—
198C4×D12—61no—
199#872—61no—
200#870—31no—
201C3×#107—31no—
202C3×#107—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103C2×D311yescharacteristic
207C3×#103C2×D311yescharacteristic
208C3×C4×C8—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#830—31no—
214#821—31no—
215#821—31no—
216#821—31no—
217#821—31no—
218#821—61no—
219(C2×D3)⋊C8—31no—
220(C2×D3)⋊C8—31no—
221(C2×D3)⋊C8—31no—
222#816—31no—
223#816—31no—
224#816C2×D311yescharacteristic
225#816C2×D311yescharacteristic
226Dic3⋊C8—31no—
227C8×Dic3C2×D311yescharacteristic
228#810—31no—
229#810—31no—
230#809—31no—
231#809—31no—
232#808—31no—
233#808—31no—
234#808—61no—
235#807C2×D311yescharacteristic
236#807C2×D311yescharacteristic
237C4⋊(C3⋊C8)—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
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)—42no—
251C4×C3⋊D3—21no—
252C4×C3⋊D3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—42no—
267#626—22no—
268#626—42no—
269#624—42no—
270#624—42no—
271#624—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—91no—
280#480—91no—
281#479—91no—
282#467—31no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—31no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×Q8C22×D311yescharacteristic
296C22×C3×C4—31no—
297C2×#67—31no—
298C2×#67—61no—
299#239—62no—
300#239—121no—
301D3×Q8—62no—
302D3×Q8—62no—
303D3×Q8—121no—
304D3×Q8—121no—
305#235—62no—
306#235—121no—
307C2×D12—31no—
308C2×D12—31no—
309C2×D12—31no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—121no—
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—61no—
324C2×C4×D3C22×D311yescharacteristic
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6C22×D311yescharacteristic
328C2×Dic6C22×D311yescharacteristic
329C3×Q16—62no—
330C3×Q16—121no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8—121no—
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⋊C4—61no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C22⋊C4—61no—
347C3×C22⋊C4—61no—
348C3×C42—31no—
349C3×C42—61no—
350C3×C42—61no—
351#217—31no—
352#217—61no—
353#216—22no—
354#216—41no—
355#215—121no—
356#215—121no—
357#215—122no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—31no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—61no—
371(C2×D3)⋊C4—61no—
372(C2×D3)⋊C4—121no—
373(C2×D3)⋊C4—121no—
374C4⋊Dic3—21no—
375C4⋊Dic3—21no—
376C4⋊Dic3—31no—
377C4⋊Dic3—31no—
378C4⋊Dic3—31no—
379C4⋊Dic3—61no—
380C4⋊Dic3—61no—
381C4⋊Dic3C22×D311yescharacteristic
382C4⋊Dic3C22×D311yescharacteristic
383Dic3⋊C4—21no—
384Dic3⋊C4—21no—
385Dic3⋊C4—31no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—61no—
392Dic3⋊C4—61no—
393Dic3⋊C4—121no—
394C4×Dic3—21no—
395C4×Dic3—21no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3C22×D311yescharacteristic
399C2×C3⋊C8—31no—
400C2×C3⋊C8—31no—
401C2×C3⋊C8—61no—
402C2×C3⋊C8C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404D3×C8—41no—
405D3×C8—121no—
406D3×C8—121no—
407D3×C8—122no—
408C22×C32C22×D411yescharacteristic
409C2×C3⋊D3—21no—
410C2×C3⋊D3—21no—
411C2×C3⋊D3—41no—
412C2×C3⋊D3—41no—
413C2×C3⋊D3—41no—
414C2×C3⋊D3#13512yes—
415C2×C3×D3—21no—
416C2×C3×D3—21no—
417C2×C3×D3—21no—
418C32×C4—41no—
419C32×C4—41no—
420C32×C4C2×#4111yescharacteristic
421C32×C4H(5,𝔽2)11yescharacteristic
422C3⋊Dic3—21no—
423C3⋊Dic3—41no—
424C3×Dic3—22no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—21no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C2×#41—91no—
432C22×Q8—91no—
433C2×Q16—31no—
434C2×Q16—31no—
435C2×SD16—91no—
436C22×C8—31no—
437C22×C8—91no—
438#126—181no—
439#125—91no—
440#125—181no—
441#124—91no—
442#124—181no—
443#123—181no—
444C22⋊Q8—31no—
445C22⋊Q8—31no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448#121—91no—
449#121—181no—
450C4×Q8—31no—
451C4×Q8—31no—
452C4×D4—91no—
453C4×D4—181no—
454#117—91no—
455#117—181no—
456C2×C4⋊C4—91no—
457#107—31no—
458#107—31no—
459#106—91no—
460C4⋊C8—91no—
461#103—31no—
462#103—31no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468#102—91no—
469#102—91no—
470#102—91no—
471C22⋊C8—91no—
472C22⋊C8—91no—
473C4×C8—31no—
474C23×C3—31no—
475C22×D3—31no—
476C22×D3—31no—
477C22×D3—61no—
478C22×D3—61no—
479C22×D3—61no—
480C22×D3—121no—
481C22×D3D3×D411yescharacteristic
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—21no—
485C3×Q8—21no—
486C3×Q8—32no—
487C3×Q8—41no—
488C3×Q8—41no—
489C3×Q8—61no—
490C3×Q8—61no—
491C3×Q8—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—61no—
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—62no—
511#67—122no—
512C2×Dic3—21no—
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—121no—
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525D12—62no—
526D12—61no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—121no—
531D12—121no—
532D12—122no—
533D12—122no—
534D12—122no—
535D12—242no—
536C4×D3—21no—
537C4×D3—21no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—61no—
541C4×D3—61no—
542C4×D3—121no—
543C4×D3—121no—
544C4×D3—122no—
545C4×D3—122no—
546C4×D3—122no—
547C4×D3—122no—
548C4×D3—122no—
549C4×D3—122no—
550Dic6—21no—
551Dic6—21no—
552Dic6—21no—
553Dic6—122no—
554Dic6—122no—
555Dic6#23512yes—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—62no—
564C3⋊C8—61no—
565C3⋊C8—61no—
566C2×C32#54611yescharacteristic
567C2×C32C2×#13511yescharacteristic
568C2×C32#57811yescharacteristic
569C3⋊D3—22no—
570C3⋊D3—81no—
571C3×D3—41no—
572#41—182no—
573#41—361no—
574C2×Q8—31no—
575C2×Q8—31no—
576C2×Q8—181no—
577C2×Q8—182no—
578C2×Q8—361no—
579C2×Q8C2×D3211yescharacteristic
580C2×D4—91no—
581C2×D4—91no—
582C2×D4—181no—
583C2×D4—181no—
584C22×C4—31no—
585C22×C4—91no—
586C22×C4—181no—
587C22×C4—181no—
588C22×C4—181no—
589Q16—62no—
590Q16—121no—
591SD16—361no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—91no—
595C2×C8—121no—
596C2×C8—361no—
597C2×C8C2×D3211yescharacteristic
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—61no—
603C4⋊C4—61no—
604C4⋊C4—91no—
605C4⋊C4—91no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4C2×D3211yescharacteristic
611C22⋊C4—61no—
612C22⋊C4—61no—
613C22⋊C4—91no—
614C22⋊C4—91no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C22⋊C4—181no—
620C42—31no—
621C42—61no—
622C42—61no—
623C42—181no—
624C22×C3—21no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—61no—
628C22×C3C2×D3×D411yescharacteristic
629C22×C3C2×D3×D411yescharacteristic
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—32no—
634C2×D3—32no—
635C2×D3—62no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—61no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—241no—
649C2×D3—241no—
650C2×D3—241no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—41no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—41no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—61no—
660C3×C4—62no—
661C3×C4—81no—
662C3×C4—81no—
663C3×C4—121no—
664C3×C4—121no—
665C3×C4—121no—
666C3×C4C2×#23511yescharacteristic
667C3×C4#100411yescharacteristic
668C3×C4D3×#4111yescharacteristic
669C3×C4#100911yescharacteristic
670Dic3—21no—
671Dic3—21no—
672Dic3—22no—
673Dic3—21no—
674Dic3—41no—
675Dic3—41no—
676Dic3—41no—
677Dic3—61no—
678Dic3—61no—
679Dic3—121no—
680Dic3—121no—
681Dic3—121no—
682Dic3—241no—
683C32#330011yescharacteristic, complemented, Sylow
684C23—31no—
685C23—91no—
686C23—181no—
687Q8—21no—
688Q8—21no—
689Q8—32no—
690Q8—61no—
691Q8—61no—
692Q8—61no—
693Q8—362no—
694D4—182no—
695D4—181no—
696D4—181no—
697D4—362no—
698D4—362no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—61no—
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—362no—
715C2×C4—362no—
716C2×C4—362no—
717C2×C4C22×D3211yescharacteristic
718C8—21no—
719C8—61no—
720C8—61no—
721C8—181no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—121no—
726C2×C3#555011yescharacteristic
727C2×C3#561011yescharacteristic
728C2×C3#576611yescharacteristic
729C2×C3#576611yescharacteristic
730C2×C3D3×#13511yescharacteristic
731C2×C3D3×#13511yescharacteristic
732D3—41no—
733D3—62no—
734D3—62no—
735D3—122no—
736D3—241no—
737D3—241no—
738D3—481no—
739C22—61no—
740C22—61no—
741C22—61no—
742C22—92no—
743C22—181no—
744C22—181no—
745C22—361no—
746C22—361no—
747C22—361no—
748C22D32×D411yescharacteristic
749C4—41no—
750C4—41no—
751C4—61no—
752C4—61no—
753C4—61no—
754C4—62no—
755C4—121no—
756C4—121no—
757C4—121no—
758C4—181no—
759C4—361no—
760C4D3×#23511yescharacteristic
761C4#6431411yescharacteristic
762C3—21no—
763C3#7973611yescharacteristic, complemented
764C3#8076911yescharacteristic, complemented
765C2—121no—
766C2—182no—
767C2—721no—
768C2#1059428311yescharacteristic
769C2#1059474711yescharacteristic
770C2#1059476511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10594329C2
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
1. #10595344C2semidirect
3. #10592506C2semidirect
4. C3×#4813C2semidirect
5. C3×#4790C2semidirect
6. #10591657C2semidirect
7. #10591654C2semidirect
8. #10591607C2semidirect
9. #10590872C2semidirect
10. C8×#626C2semidirect
11. #10590690C2semidirect
12. #10590672C2semidirect
13. #10590544C2semidirect
14. #10590448C2semidirect
15. #10590442C2semidirect
81. #4813D3semidirect
89. #4790D3semidirect
683. C32#3300semidirect
763. C3#79736semidirect
764. C3#80769semidirect

Maximal subgroups

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

subgroupindex
#105953442
#105943292
#105925062
C3×#48132
C3×#47902
#105916572
#105916542
#105916072
#105908722
C8×#6262
#105906902
#105906722
#105905442
#105904482
#105904422
#807693
#797363