Finite Group Databasebeta

← #11887827

Subgroups — #11887827

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#10594553C211yesmaximal, characteristic, complemented
2#10594382C211yesmaximal, characteristic
3#10592586C211yesmaximal, characteristic, complemented
4C3×#4882C211yesmaximal, characteristic, complemented
5C3×#4877C211yesmaximal, characteristic, complemented
6#10590956C211yesmaximal, characteristic, complemented
7#10590952C211yesmaximal, characteristic, complemented
8#10590906C211yesmaximal, characteristic, complemented
9#10590861C211yesmaximal, characteristic, complemented
10#10590618C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590578C211yesmaximal, characteristic, complemented
13#10590533C211yesmaximal, characteristic, complemented
14#10590481C211yesmaximal, characteristic, complemented
15#10590450C211yesmaximal, characteristic, complemented
16#81305—31nomaximal
17#81245—31nomaximal
18C2×#3796C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21C2×C8×C3⋊D3C2211yescharacteristic
22#64106C2211yescharacteristic
23#64106C2211yescharacteristic
24C3×#895C2211yescharacteristic
25C3×D3×C4⋊C4C2211yescharacteristic
26C3×#890C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C4×#626C2211yescharacteristic
29#63893—21no—
30Dic3×D12—21no—
31#63886—21no—
32#63860C2211yescharacteristic
33#63857C2211yescharacteristic
34#63852—21no—
35#63850—21no—
36#63849C2211yescharacteristic
37#63848—21no—
38#63845—21no—
39#63844C2211yescharacteristic
40#63841—21no—
41C2×#3719C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#107C2211yescharacteristic
45#63637C2211yescharacteristic
46#63637C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#808C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5694—31no—
62#5598—31no—
63#5576—31no—
64#5513—31no—
65C3×#480—31no—
66C3×#479—31no—
67#5068—31no—
68#5041—31no—
69C4×#216—31no—
70C2×#810—31no—
71#4888—31no—
72#4887—31no—
73#4887—31no—
74#4887—61no—
75#4882D311yescharacteristic, complemented
76#4877D311yescharacteristic, complemented
77#4873—31no—
78#4868—31no—
79#4864—31no—
80#4845—31no—
81#4834—31no—
82#4809—31no—
83#4808—31no—
84#4804—31no—
85D3×#103—31no—
86#4783—31no—
87#4772—31no—
88#4768—31no—
89#4767—31no—
90#4739—31no—
91#67⋊C8—31no—
92C2×C4×C3⋊D3C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#626—21no—
102C2×#626D411yescharacteristic
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
111C32×C4⋊C4C2311yescharacteristic
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117#3746—41no—
118C8×C3⋊D3—41no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133#3722—21no—
134#3722D411yescharacteristic
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141#3719—22no—
142#3716—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×#237—31no—
148C22×Dic6—31no—
149C3×#125—31no—
150C3×#121—31no—
151C3×C4×Q8—31no—
152C2×C3×C4⋊C4—31no—
153C2×#216—31no—
154#939—61no—
155#936—31no—
156D4×Dic3—61no—
157C2×#214—31no—
158#929—61no—
159C4×#67—31no—
160#926—61no—
161#924—31no—
162C22×C3⋊C8—31no—
163C2×Dic12—31no—
164C2×Dic12—31no—
165C2×Dic12—31no—
166C2×Dic12—61no—
167C2×#204—31no—
168C2×D3×C8—31no—
169C2×D3×C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8—61no—
172#898—61no—
173#898—61no—
174#897—31no—
175#897—31no—
176#897—31no—
177#897—31no—
178#897—31no—
179#897—61no—
180#897—61no—
181#897—61no—
182#895—61no—
183#895C2×D311yescharacteristic
184#894—61no—
185#892—31no—
186#892—31no—
187#892—61no—
188D3×C4⋊C4C2×D311yescharacteristic
189#890—61no—
190#890C2×D311yescharacteristic
191#889—61no—
192#887—31no—
193#887C2×D311yescharacteristic
194#885—61no—
195#878—61no—
196#875—31no—
197#875—61no—
198C4×D12—31no—
199C4×D12—61no—
200C4×Dic6—31no—
201C3×#107—21no—
202C3×#107—31no—
203C3×#107C2×D311yescharacteristic
204C3×#107C2×D311yescharacteristic
205C3×#106—31no—
206C3×C4⋊C8—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#102—31no—
210C3×#102—31no—
211C3×C22⋊C8—31no—
212#835—31no—
213#832—31no—
214#821C2×D311yescharacteristic
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#816—31no—
219#816—31no—
220#816C2×D311yescharacteristic
221Dic3⋊C8C2×D311yescharacteristic
222C8×Dic3—31no—
223#810—31no—
224#810—31no—
225#810—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—61no—
231#810—61no—
232#810C2×D311yescharacteristic
233#809—31no—
234#809C2×D311yescharacteristic
235#808C2×D311yescharacteristic
236#807C2×D311yescharacteristic
237C4×C3⋊C8—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3—21no—
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4×C3⋊D3—21no—
248C4×C3⋊D3—21no—
249#634—21no—
250#634—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×C4×D3—42no—
265C3×Dic6—21no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#626—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—31no—
281#479—31no—
282#467—91no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—91no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C2×#67—31no—
297C2×#67—61no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300#239—62no—
301#239—121no—
302D3×Q8—62no—
303D3×Q8—121no—
304#237—62no—
305#237—121no—
306C2×D12—21no—
307C2×D12—31no—
308C2×D12—61no—
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—31no—
312C2×C4×D3—31no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—62no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—121no—
327C2×Dic6C22×D311yescharacteristic
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C22⋊C4—61no—
346C3×C42—31no—
347C3×C42—61no—
348#217—31no—
349#217—61no—
350#217—61no—
351#217—61no—
352#216—62no—
353#214—121no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
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—
368(C2×D3)⋊C4—121no—
369C4⋊Dic3—21no—
370C4⋊Dic3—31no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—121no—
377C4⋊Dic3—121no—
378C4⋊Dic3C22×D311yescharacteristic
379C4⋊Dic3C22×D311yescharacteristic
380Dic3⋊C4—21no—
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—31no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387C4×Dic3—21no—
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⋊C8—121no—
397C2×C3⋊C8C22×D311yescharacteristic
398C2×C3⋊C8C22×D311yescharacteristic
399Dic12—62no—
400Dic12—121no—
401Dic12—121no—
402Dic12—122no—
403#204—121no—
404D3×C8—121no—
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—91no—
434C2×Q16—91no—
435C2×SD16—91no—
436C22×C8—91no—
437C22×C8—91no—
438#126—181no—
439#125—31no—
440#125—181no—
441#124—91no—
442#124—181no—
443#123—181no—
444C22⋊Q8—91no—
445C22⋊Q8—91no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448#121—31no—
449#121—181no—
450C4×Q8—31no—
451C4×Q8—91no—
452C4×D4—91no—
453C4×D4—181no—
454#117—91no—
455#117—181no—
456C2×C4⋊C4—31no—
457#107—31no—
458#107D3211yescharacteristic
459#106—31no—
460C4⋊C8—31no—
461#103—31no—
462#103—31no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#102—31no—
469#102—31no—
470#102—91no—
471C22⋊C8—31no—
472C22⋊C8—91no—
473C4×C8—91no—
474C23×C3—31no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3—31no—
478C22×D3—31no—
479C22×D3—61no—
480C22×D3D3×D411yescharacteristic
481C3×Q8—32no—
482C3×Q8—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—122no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—62no—
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—122no—
519C2×Dic3—122no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—21no—
524D12—21no—
525D12—42no—
526D12—62no—
527D12—122no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—42no—
531C4×D3—61no—
532C4×D3—61no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—121no—
536C4×D3—121no—
537C4×D3—122no—
538C4×D3—122no—
539Dic6—21no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—121no—
549Dic6—121no—
550Dic6—121no—
551Dic6—121no—
552Dic6—122no—
553Dic6—122no—
554Dic6#23912yes—
555C3×C8—22no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—61no—
559C3×C8—61no—
560C3⋊C8—21no—
561C3⋊C8—21no—
562C3⋊C8—61no—
563C3⋊C8—61no—
564C3⋊C8—121no—
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—91no—
576C2×Q8—181no—
577C2×Q8—182no—
578C2×Q8—361no—
579C2×D4—31no—
580C2×D4—61no—
581C2×D4—91no—
582C2×D4—181no—
583C22×C4—31no—
584C22×C4—61no—
585C22×C4—91no—
586C22×C4—181no—
587C22×C4—181no—
588Q16—182no—
589Q16—361no—
590SD16—361no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8—361no—
595C2×C8—361no—
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—61no—
603C4⋊C4—91no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4C2×D3211yescharacteristic
609C4⋊C4C2×D3211yescharacteristic
610C22⋊C4—61no—
611C22⋊C4—91no—
612C22⋊C4—91no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C42—31no—
620C42—61no—
621C42—181no—
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#91212yes—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—62no—
654C3×C4—61no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—81no—
658C3×C4—81no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4C2×#23911yescharacteristic
662C3×C4D3×#4111yescharacteristic
663C3×C4#100911yescharacteristic
664C3×C4#100911yescharacteristic
665Dic3—21no—
666Dic3—21no—
667Dic3—21no—
668Dic3—22no—
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—32no—
685Q8—61no—
686Q8—181no—
687Q8—181no—
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—122no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—181no—
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#563011yescharacteristic
725C2×C3#565411yescharacteristic
726C2×C3C2×#91211yescharacteristic
727C2×C3D3×#13511yescharacteristic
728C2×C3#577911yescharacteristic
729C2×C3#577911yescharacteristic
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—62no—
749C4—61no—
750C4—61no—
751C4—121no—
752C4—121no—
753C4—181no—
754C4—361no—
755C4—361no—
756C4#6430811yescharacteristic
757C4D3×#23911yescharacteristic
758C3—21no—
759C3#8124511yescharacteristic, complemented
760C3#8130511yescharacteristic, complemented
761C2—62no—
762C2—241no—
763C2—361no—
764C2#1059462011yescharacteristic
765C2D3×#91211yescharacteristic
766C2#1059476911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10594382C2
hypercenter#107D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594553C2semidirect
3. #10592586C2semidirect
4. C3×#4882C2semidirect
5. C3×#4877C2semidirect
6. #10590956C2semidirect
7. #10590952C2semidirect
8. #10590906C2semidirect
9. #10590861C2semidirect
10. #10590618C2semidirect
11. D3×#810C2semidirect
12. #10590578C2semidirect
13. #10590533C2semidirect
14. #10590481C2semidirect
15. #10590450C2semidirect
75. #4882D3semidirect
76. #4877D3semidirect
680. C32#3300semidirect
759. C3#81245semidirect
760. C3#81305semidirect

Maximal subgroups

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

subgroupindex
#105945532
#105943822
#105925862
C3×#48822
C3×#48772
#105909562
#105909522
#105909062
#105908612
#105906182
D3×#8102
#105905782
#105905332
#105904812
#105904502
#813053
#812453