Finite Group Databasebeta

← #11887836

Subgroups — #11887836

Order 1152.

829 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595379C211yesmaximal, characteristic, complemented
2#10594382C211yesmaximal, characteristic
3#10592512C211yesmaximal, characteristic, complemented
4C3×#4807C211yesmaximal, characteristic, complemented
5C3×#4790C211yesmaximal, characteristic, complemented
6#10591656C211yesmaximal, characteristic, complemented
7#10591653C211yesmaximal, characteristic, complemented
8#10591604C211yesmaximal, characteristic, complemented
9#10590956C211yesmaximal, characteristic, complemented
10#10590863C211yesmaximal, characteristic, complemented
11C8×#626C211yesmaximal, characteristic, complemented
12D3×#816C211yesmaximal, characteristic, complemented
13#10590543C211yesmaximal, characteristic, complemented
14#10590450C211yesmaximal, characteristic, complemented
15#10590438C211yesmaximal, characteristic, complemented
16#80690—31nomaximal
17#79736—31nomaximal
18C2×#3796C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22C2×C8×C3⋊D3C2211yescharacteristic
23#64106C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C2×C3×#215C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C3×#895C2211yescharacteristic
30C3×#887C2211yescharacteristic
31C4×#626C2211yescharacteristic
32#63893—21no—
33Dic3×D12—21no—
34#63890—21no—
35D3×C4⋊Dic3C2211yescharacteristic
36#63886—21no—
37#63877—21no—
38#63869C2211yescharacteristic
39#63868—21no—
40#63860C2211yescharacteristic
41#63852—21no—
42#63849C2211yescharacteristic
43#63846—21no—
44C32×#103C2211yescharacteristic
45#63643C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×C8×Dic3C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61#5642—31no—
62#5598—31no—
63#5581—31no—
64#5576—31no—
65C3×#465—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5186—31no—
69#5173—31no—
70#5166—31no—
71C8×#67—31no—
72C2×#816—31no—
73#5050—31no—
74#5033—31no—
75#5028—31no—
76#5022—31no—
77#4888—31no—
78#4882—31no—
79#4868—31no—
80#4857—31no—
81#4813—31no—
82#4813—31no—
83#4813—61no—
84#4807D311yescharacteristic, complemented
85#4804—31no—
86D3×#103—31no—
87#4790D311yescharacteristic, complemented
88#4772—31no—
89#4768—31no—
90#4697—31no—
91C8×D12—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#626D411yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3796—22no—
106#3796—41no—
107D3×Dic6—22no—
108D3×Dic6—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3756—41no—
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C8×C3⋊D3—41no—
119C3×#216—22no—
120C3×#215—41no—
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—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—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3D411yescharacteristic
138#3722—21no—
139#3722D411yescharacteristic
140(C2×D3)⋊Dic3—21no—
141(C2×D3)⋊Dic3—21no—
142(C2×D3)⋊Dic3D411yescharacteristic
143Dic32—21no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×#237—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×SD16—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×#121—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—31no—
156#946—31no—
157#946—31no—
158#946—61no—
159#946C2×D311yescharacteristic
160Q8×Dic3C2×D311yescharacteristic
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—61no—
164C2×#216C2×D311yescharacteristic
165C2×#215C2×D311yescharacteristic
166#939—61no—
167#936—31no—
168D4×Dic3—61no—
169C4×#67—31no—
170C2×C4⋊Dic3—31no—
171C2×D3×C8—31no—
172C2×D3×C8—31no—
173C2×D3×C8—61no—
174C2×D3×C8C2×D311yescharacteristic
175#898—61no—
176#897—31no—
177#897—31no—
178#897—61no—
179#897—61no—
180#895—61no—
181#895C2×D311yescharacteristic
182#894—61no—
183#892—31no—
184#892—31no—
185D3×C4⋊C4—31no—
186#890—31no—
187#890—61no—
188#889—61no—
189#887C2×D311yescharacteristic
190#886—61no—
191#885—61no—
192#878—61no—
193#877—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×#106—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207C3×#102—31no—
208C3×C4×C8—31no—
209#835—31no—
210#835—31no—
211#832—31no—
212#832—31no—
213#830—31no—
214#821—31no—
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—61no—
225#816C2×D311yescharacteristic
226Dic3⋊C8—31no—
227C8×Dic3C2×D311yescharacteristic
228#810—31no—
229#810—31no—
230#810—31no—
231#809—31no—
232#808C2×D311yescharacteristic
233#807—31no—
234#807—31no—
235#807—61no—
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—
251#634—21no—
252#634—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—42no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—42no—
267#626—22no—
268#626—42no—
269D3×Dic3—42no—
270D3×Dic3—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—91no—
280#480—91no—
281#479—91no—
282#467—91no—
283#465—31no—
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×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C22×C3×C4—31no—
298C2×#67—31no—
299C2×#67—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303#239—62no—
304#239—121no—
305D3×Q8—62no—
306D3×Q8—121no—
307#237—62no—
308#237—121no—
309C2×D12—21no—
310C2×D12—31no—
311C2×D12—61no—
312C2×D12C22×D311yescharacteristic
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3C22×D311yescharacteristic
320C2×Dic6—31no—
321C2×Dic6—31no—
322C2×Dic6—61no—
323C2×Dic6—62no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—121no—
327C2×Dic6C22×D311yescharacteristic
328C3×Q16—62no—
329C3×SD16—121no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8—121no—
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×C22⋊C4—61no—
346C3×C42—31no—
347C3×C42—61no—
348C3×C42—61no—
349#217—31no—
350#217—61no—
351#217—61no—
352#216—22no—
353#216—121no—
354#216—121no—
355#216—122no—
356#215—41no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—31no—
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—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—121no—
371(C2×D3)⋊C4—121no—
372C4⋊Dic3—21no—
373C4⋊Dic3—31no—
374C4⋊Dic3—31no—
375C4⋊Dic3—31no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3—61no—
379C4⋊Dic3—61no—
380C4⋊Dic3—61no—
381C4⋊Dic3—121no—
382C4⋊Dic3C22×D311yescharacteristic
383C4⋊Dic3C22×D311yescharacteristic
384Dic3⋊C4—21no—
385Dic3⋊C4—21no—
386Dic3⋊C4—31no—
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—21no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C2×C3×D3—41no—
417C2×C3×D3#13512yes—
418C32×C4—41no—
419C32×C4—41no—
420C32×C4C2×#4111yescharacteristic
421C32×C4H(5,𝔽2)11yescharacteristic
422C3⋊Dic3—21no—
423C3⋊Dic3—41no—
424C3⋊Dic3—41no—
425C3×Dic3—22no—
426C3×Dic3—21no—
427C3×Dic3—21no—
428C3×Dic3—21no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C2×#41—91no—
432C22×Q8—91no—
433C2×Q16—31no—
434C2×Q16—91no—
435C2×SD16—31no—
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—91no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448#121—31no—
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—91no—
459#106—31no—
460C4⋊C8—91no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468#102—31no—
469#102—91no—
470#102—91no—
471C22⋊C8—91no—
472C22⋊C8—91no—
473C4×C8—31no—
474C23×C3—31no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3—31no—
478C22×D3—31no—
479C22×D3—61no—
480C22×D3D3×D411yescharacteristic
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—21no—
485C3×Q8—32no—
486C3×Q8—41no—
487C3×Q8—41no—
488C3×Q8—61no—
489C3×D4—61no—
490C3×D4—61no—
491C3×D4—122no—
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—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—121no—
523C2×Dic3—122no—
524C2×Dic3—122no—
525C2×Dic3—122no—
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529D12—21no—
530D12—21no—
531D12—42no—
532D12—62no—
533D12—122no—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—61no—
537C4×D3—61no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—121no—
541C4×D3—121no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—122no—
545Dic6—21no—
546Dic6—61no—
547Dic6—61no—
548Dic6—61no—
549Dic6—61no—
550Dic6—121no—
551Dic6—121no—
552Dic6—122no—
553Dic6—122no—
554Dic6#23512yes—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—41no—
558C3×C8—61no—
559C3×C8—61no—
560C3⋊C8—21no—
561C3⋊C8—21no—
562C3⋊C8—62no—
563C3⋊C8—61no—
564C3⋊C8—61no—
565C2×C32#54611yescharacteristic
566C2×C32C2×#13511yescharacteristic
567C2×C32#57811yescharacteristic
568C3⋊D3—41no—
569C3×D3—22no—
570C3×D3—81no—
571#41—182no—
572#41—361no—
573C2×Q8—31no—
574C2×Q8—91no—
575C2×Q8—181no—
576C2×Q8—182no—
577C2×Q8—361no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—31no—
580C2×D4—61no—
581C2×D4—91no—
582C2×D4—181no—
583C22×C4—31no—
584C22×C4—91no—
585C22×C4—181no—
586C22×C4—181no—
587C22×C4—181no—
588Q16—62no—
589Q16—361no—
590SD16—121no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8—121no—
595C2×C8—361no—
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—91no—
603C4⋊C4—91no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4C2×D3211yescharacteristic
610C22⋊C4—61no—
611C22⋊C4—61no—
612C22⋊C4—91no—
613C22⋊C4—91no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C42—31no—
620C42—61no—
621C42—61no—
622C42—181no—
623C22×C3—21no—
624C22×C3—32no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—62no—
638C2×D3—61no—
639C2×D3—61no—
640C2×D3—61no—
641C2×D3—61no—
642C2×D3—61no—
643C2×D3—61no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3#91612yes—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—61no—
656C3×C4—62no—
657C3×C4—81no—
658C3×C4—81no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4C2×#23511yescharacteristic
662C3×C4#100411yescharacteristic
663C3×C4D3×#4111yescharacteristic
664C3×C4#100911yescharacteristic
665Dic3—21no—
666Dic3—21no—
667Dic3—22no—
668Dic3—21no—
669Dic3—41no—
670Dic3—41no—
671Dic3—61no—
672Dic3—61no—
673Dic3—121no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678Dic3—241no—
679Dic3—241no—
680C32#330011yescharacteristic, complemented, Sylow
681C23—31no—
682C23—61no—
683C23—91no—
684Q8—21no—
685Q8—21no—
686Q8—32no—
687Q8—61no—
688Q8—181no—
689Q8—181no—
690Q8—362no—
691D4—61no—
692D4—61no—
693D4—122no—
694D4—182no—
695D4—362no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—91no—
707C2×C4—181no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—362no—
712C2×C4—362no—
713C2×C4—362no—
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—61no—
717C8—61no—
718C8—181no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—62no—
723C2×C3—241no—
724C2×C3#555011yescharacteristic
725C2×C3#561011yescharacteristic
726C2×C3C2×#91611yescharacteristic
727C2×C3#576611yescharacteristic
728C2×C3D3×#13511yescharacteristic
729C2×C3#577111yescharacteristic
730D3—22no—
731D3—81no—
732D3—122no—
733D3—121no—
734D3—121no—
735C22—32no—
736C22—61no—
737C22—61no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—181no—
742C22—181no—
743C22—181no—
744C22D32×D411yescharacteristic
745C4—41no—
746C4—41no—
747C4—61no—
748C4—61no—
749C4—61no—
750C4—62no—
751C4—121no—
752C4—121no—
753C4—181no—
754C4—361no—
755C4—361no—
756C4D3×#23511yescharacteristic
757C4#6431411yescharacteristic
758C3—21no—
759C3#7973611yescharacteristic, complemented
760C3#8069011yescharacteristic, complemented
761C2—62no—
762C2—241no—
763C2—361no—
764C2#1059428311yescharacteristic
765C2D3×#91611yescharacteristic
766C2#1059476811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10594382C2
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. #10595379C2semidirect
3. #10592512C2semidirect
4. C3×#4807C2semidirect
5. C3×#4790C2semidirect
6. #10591656C2semidirect
7. #10591653C2semidirect
8. #10591604C2semidirect
9. #10590956C2semidirect
10. #10590863C2semidirect
11. C8×#626C2semidirect
12. D3×#816C2semidirect
13. #10590543C2semidirect
14. #10590450C2semidirect
15. #10590438C2semidirect
84. #4807D3semidirect
87. #4790D3semidirect
680. C32#3300semidirect
759. C3#79736semidirect
760. C3#80690semidirect

Maximal subgroups

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

subgroupindex
#105953792
#105943822
#105925122
C3×#48072
C3×#47902
#105916562
#105916532
#105916042
#105909562
#105908632
C8×#6262
D3×#8162
#105905432
#105904502
#105904382
#806903
#797363