Finite Group Databasebeta

← #11887829

Subgroups — #11887829

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#10594584C211yesmaximal, characteristic, complemented
2#10594329C211yesmaximal, characteristic
3#10592563C211yesmaximal, characteristic, complemented
4C3×#4868C211yesmaximal, characteristic, complemented
5C3×#4857C211yesmaximal, characteristic, complemented
6#10590970C211yesmaximal, characteristic, complemented
7#10590906C211yesmaximal, characteristic, complemented
8#10590813C211yesmaximal, characteristic, complemented
9#10590672C211yesmaximal, characteristic, complemented
10#10590610C211yesmaximal, characteristic, complemented
11#10590605C211yesmaximal, characteristic, complemented
12#10590579C211yesmaximal, characteristic, complemented
13#10590537C211yesmaximal, characteristic, complemented
14#10590481C211yesmaximal, characteristic, complemented
15#10590442C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#81245—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20C2×#3744C2211yescharacteristic
21C2×C8×C3⋊D3C2211yescharacteristic
22#64106C2211yescharacteristic
23#64104C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#892C2211yescharacteristic
26C3×#890C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63910—21no—
29C4×#626C2211yescharacteristic
30#63900C2211yescharacteristic
31#63895—21no—
32#63894—21no—
33#63869—21no—
34#63864C2211yescharacteristic
35#63861—21no—
36#63857C2211yescharacteristic
37#63854—21no—
38#63852—21no—
39#63844C2211yescharacteristic
40#63836—21no—
41C2×#3719C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#106C2211yescharacteristic
45#63637C2211yescharacteristic
46#63636C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#807C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63557C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5694—31no—
62#5633—31no—
63#5576—31no—
64#5529—31no—
65C3×#485—31no—
66C3×#479—31no—
67#5068—31no—
68#5051—31no—
69C4×#216—31no—
70#5002—31no—
71#4887—31no—
72#4882—31no—
73#4882—31no—
74#4873—31no—
75#4868D311yescharacteristic, complemented
76#4864—31no—
77#4864—31no—
78#4864—61no—
79#4857D311yescharacteristic, complemented
80#4845—31no—
81#4834—31no—
82#4809—31no—
83#4809—31no—
84#4808—31no—
85#4804—31no—
86D3×#103—31no—
87D3×#103—31no—
88#4800—31no—
89#4798—31no—
90#4733—31no—
91#67⋊C8—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×#634C2311yescharacteristic
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
111C32×C4⋊C4C2311yescharacteristic
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116#3744—41no—
117C8×C3⋊D3—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3D411yescharacteristic
135#3722—21no—
136#3722—21no—
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141#3719—22no—
142#3719—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×#235—31no—
149C3×#125—31no—
150C3×C22⋊Q8—31no—
151C3×C4×Q8—31no—
152C3×#117—31no—
153#947—31no—
154C2×#216—31no—
155C2×#216—31no—
156C4×#67—31no—
157#924—31no—
158C22×C3⋊C8—31no—
159C2×Dic12—31no—
160C2×Dic12—31no—
161C2×#204—31no—
162C2×#204—31no—
163C2×#204—61no—
164C2×D3×C8—31no—
165C2×D3×C8—31no—
166C2×D3×C8—31no—
167C2×D3×C8—61no—
168#898—61no—
169#897—31no—
170#897—31no—
171#897—31no—
172#897—61no—
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—61no—
183#892C2×D311yescharacteristic
184D3×C4⋊C4—31no—
185D3×C4⋊C4—31no—
186#890—61no—
187#890C2×D311yescharacteristic
188#887—31no—
189#887C2×D311yescharacteristic
190#885—61no—
191#884—61no—
192#883—61no—
193#879—61no—
194#875—31no—
195#875—61no—
196C4×D12—31no—
197C4×D12—61no—
198#872—61no—
199#870—61no—
200C4×Dic6—31no—
201C3×#107—31no—
202C3×#107—31no—
203C3×#106—21no—
204C3×#106C2×D311yescharacteristic
205C3×#106C2×D311yescharacteristic
206C3×C4⋊C8—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#103—31no—
210C3×#103—31no—
211C3×C22⋊C8—31no—
212#835—31no—
213#835—31no—
214#821—31no—
215#821—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8C2×D311yescharacteristic
219#816C2×D311yescharacteristic
220#816C2×D311yescharacteristic
221Dic3⋊C8C2×D311yescharacteristic
222C8×Dic3—31no—
223#810—31no—
224#810—31no—
225#810—31no—
226#810—31no—
227#810—61no—
228#810C2×D311yescharacteristic
229#810C2×D311yescharacteristic
230#809—31no—
231#809—31no—
232#809—31no—
233#809—31no—
234#809—61no—
235#807C2×D311yescharacteristic
236#807C2×D311yescharacteristic
237C4×C3⋊C8—31no—
238C22×C3⋊D3—21no—
239C22×C3⋊D3C2×D411yescharacteristic
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—42no—
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×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—31no—
280#480—91no—
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×Q8—31no—
293C22×C3×C4—31no—
294C2×#67—31no—
295C2×#67—61no—
296#239—62no—
297#239—121no—
298D3×Q8—62no—
299D3×Q8—62no—
300D3×Q8—121no—
301D3×Q8—121no—
302#235—62no—
303#235—121no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—121no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3C22×D311yescharacteristic
322C2×Dic6—31no—
323C2×Dic6—31no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6C22×D311yescharacteristic
328C2×Dic6C22×D311yescharacteristic
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—21no—
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
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—62no—
354#216—121no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—31no—
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—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—121no—
370(C2×D3)⋊C4—121no—
371C4⋊Dic3—21no—
372C4⋊Dic3—21no—
373C4⋊Dic3—31no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—121no—
378C4⋊Dic3C22×D311yescharacteristic
379C4⋊Dic3C22×D311yescharacteristic
380Dic3⋊C4—21no—
381Dic3⋊C4—21no—
382Dic3⋊C4—31no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388C4×Dic3—21no—
389C4×Dic3—21no—
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—
401#204—121no—
402#204—121no—
403#204—122no—
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—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—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—31no—
445C22⋊Q8—91no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448#121—91no—
449#121—181no—
450C4×Q8—31no—
451C4×Q8—91no—
452C4×D4—91no—
453C4×D4—181no—
454#117—31no—
455#117—181no—
456C2×C4⋊C4—91no—
457#107—31no—
458#107—31no—
459#106D3211yescharacteristic
460C4⋊C8—31no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—31no—
465#103—91no—
466#103—91no—
467#103—91no—
468#102—91no—
469#102—91no—
470#102—91no—
471C22⋊C8—31no—
472C22⋊C8—91no—
473C4×C8—91no—
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—32no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
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—61no—
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—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519D12—62no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12—121no—
526D12—122no—
527D12—122no—
528D12—122no—
529D12—242no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—61no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—61no—
536C4×D3—121no—
537C4×D3—121no—
538C4×D3—122no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544Dic6—21no—
545Dic6—21no—
546Dic6—21no—
547Dic6—61no—
548Dic6—61no—
549Dic6—61no—
550Dic6—61no—
551Dic6—121no—
552Dic6—121no—
553Dic6—122no—
554Dic6—122no—
555Dic6#23912yes—
556C3×C8—22no—
557C3×C8—21no—
558C3×C8—21no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—61no—
564C3⋊C8—61no—
565C3⋊C8—121no—
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—91no—
577C2×Q8—181no—
578C2×Q8—182no—
579C2×Q8—361no—
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—182no—
590Q16—361no—
591SD16—361no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—91no—
595C2×C8—361no—
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—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4C2×D3211yescharacteristic
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—62no—
658C3×C4—61no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—81no—
662C3×C4—81no—
663C3×C4—121no—
664C3×C4—121no—
665C3×C4—121no—
666C3×C4C2×#23911yescharacteristic
667C3×C4D3×#4111yescharacteristic
668C3×C4#100911yescharacteristic
669C3×C4#100911yescharacteristic
670Dic3—21no—
671Dic3—21no—
672Dic3—21no—
673Dic3—22no—
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—32no—
688Q8—61no—
689Q8—61no—
690Q8—61no—
691Q8—181no—
692Q8—181no—
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#563011yescharacteristic
727C2×C3#565411yescharacteristic
728C2×C3D3×#13511yescharacteristic
729C2×C3D3×#13511yescharacteristic
730C2×C3#577911yescharacteristic
731C2×C3#577911yescharacteristic
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—62no—
753C4—61no—
754C4—61no—
755C4—121no—
756C4—121no—
757C4—121no—
758C4—181no—
759C4—361no—
760C4#6430811yescharacteristic
761C4D3×#23911yescharacteristic
762C3—21no—
763C3#8124511yescharacteristic, complemented
764C3#8152411yescharacteristic, complemented
765C2—121no—
766C2—182no—
767C2—721no—
768C2#1059462011yescharacteristic
769C2#1059474711yescharacteristic
770C2#1059475211yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10594329C2
hypercenter#106D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
1. #10594584C2semidirect
3. #10592563C2semidirect
4. C3×#4868C2semidirect
5. C3×#4857C2semidirect
6. #10590970C2semidirect
7. #10590906C2semidirect
8. #10590813C2semidirect
9. #10590672C2semidirect
10. #10590610C2semidirect
11. #10590605C2semidirect
12. #10590579C2semidirect
13. #10590537C2semidirect
14. #10590481C2semidirect
15. #10590442C2semidirect
75. #4868D3semidirect
79. #4857D3semidirect
683. C32#3300semidirect
763. C3#81245semidirect
764. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105945842
#105943292
#105925632
C3×#48682
C3×#48572
#105909702
#105909062
#105908132
#105906722
#105906102
#105906052
#105905792
#105905372
#105904812
#105904422
#815243
#812453