Finite Group Databasebeta

← #11860643

Subgroups — #11860643

Order 1152.

994 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63800C211yesmaximal, characteristic
2#10594359C211yesmaximal, characteristic
3#10594357C211yesmaximal, characteristic, complemented
4#10592552C211yesmaximal, characteristic, complemented
5C3×#4861C211yesmaximal, characteristic, complemented
6C3×#4852C211yesmaximal, characteristic, complemented
7#10590908C211yesmaximal, characteristic, complemented
8#10590807C211yesmaximal, characteristic, complemented
9#10590779C211yesmaximal, characteristic, complemented
10#10590608C211yesmaximal, characteristic
11D3×#810C211yesmaximal, characteristic, complemented
12#10590590C211yesmaximal, characteristic, complemented
13#10590482C211yesmaximal, characteristic, complemented
14#10590480C211yesmaximal, characteristic, complemented
15#10590460C211yesmaximal, characteristic, complemented
16#79648—31nomaximal
17#79202—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21#64096C2211yescharacteristic
22#64096C2211yescharacteristic
23C2×C3×#204C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C4×#627—21no—
30C4×#625—21no—
31#63898C2211yescharacteristic
32#63879—21no—
33#63878—21no—
34#63878—21no—
35#63877—21no—
36D3×Dic3⋊C4—21no—
37#63855C2211yescharacteristic
38#63844C2211yescharacteristic
39#63844C2211yescharacteristic
40#63843C2211yescharacteristic
41#63837—21no—
42C2×#3719C2211yescharacteristic
43C2×#3716C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45#63800C418yescomplemented
46C32×#106C2211yescharacteristic
47#63642C2211yescharacteristic
48#63637C2211yescharacteristic
49#63637C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#808C2211yescharacteristic
55C3×#807C2211yescharacteristic
56#63567C2211yescharacteristic
57#63567C2211yescharacteristic
58#63565C2211yescharacteristic
59#63562C2211yescharacteristic
60#63554C2211yescharacteristic
61#63553C2211yescharacteristic
62C2×#915—31no—
63C2×#909—31no—
64#5572—31no—
65#5546—31no—
66#5516—31no—
67#5504—31no—
68C3×C4×SD16—31no—
69C3×#428—31no—
70#5164—31no—
71#5122—31no—
72#5030—31no—
73#5018—31no—
74#5002—31no—
75C2×#810—31no—
76#4889—31no—
77#4889—31no—
78#4873—31no—
79#4873—31no—
80#4861D311yescharacteristic, complemented
81#4853—31no—
82#4853—31no—
83#4853—31no—
84#4853—61no—
85#4852—31no—
86#4852D311yescharacteristic, complemented
87D3×#103—31no—
88#4790—31no—
89#4772—31no—
90#4758—31no—
91C4×Dic12—31no—
92#4689—31no—
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#625—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795C2×C414yes—
107D3×Dic6—22no—
108D3×Dic6C2×C414yescomplemented
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118#3746C2×C414yescomplemented
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×#204C2×C414yescomplemented
131C3×ΓL(1,𝔽25)C2×C414yescomplemented
132#3724—21no—
133#3724—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141Dic32—21no—
142Dic32—21no—
143#3719C2×C414yescomplemented
144#3716C2×C414yescomplemented
145D3×C3⋊C8—22no—
146#2947—91noSylow
147C2×D3×Q8—31no—
148C2×#237—31no—
149C2×#235—31no—
150C22×Dic6—31no—
151C2×C3×SD16—31no—
152C2×C3×M16—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×#117—31no—
156C2×C3×C4⋊C4—31no—
157Q8×Dic3—31no—
158C2×#216—31no—
159D4×Dic3—31no—
160C2×#214—31no—
161C4×#67—61no—
162C4×#67—61no—
163C4×#67—61no—
164#926—31no—
165C2×Dic3⋊C4—61no—
166C22×C3⋊C8—31no—
167#915—38no—
168#909—38no—
169C2×Dic12—31no—
170C2×Dic12—31no—
171C2×Dic12—31no—
172C2×Dic12—61no—
173C2×#204—31no—
174C2×#204C2×D311yescharacteristic
175C2×ΓL(1,𝔽25)C2×D311yescharacteristic
176C2×D3×C8—31no—
177#893—31no—
178#893C2×D311yescharacteristic
179#892—61no—
180#892—61no—
181#892C2×D311yescharacteristic
182D3×C4⋊C4—61no—
183D3×C4⋊C4C2×D311yescharacteristic
184#887—31no—
185#887—31no—
186#887—31no—
187#887—31no—
188#887—31no—
189#887—31no—
190#887—31no—
191#887—61no—
192#887—61no—
193#887—61no—
194#887C2×D311yescharacteristic
195#67⋊C4—61no—
196#877—61no—
197#877—61no—
198#877—61no—
199#872—31no—
200#872—61no—
201C4×Dic6—31no—
202C4×Dic6—31no—
203C4×Dic6—61no—
204C4×Dic6—61no—
205C4×Dic6—61no—
206C3×#107—31no—
207C3×#107—31no—
208C3×#106—21no—
209C3×#106—31no—
210C3×#106C2×D311yescharacteristic
211C3×#106C2×D311yescharacteristic
212C3×#103—31no—
213C3×#102—31no—
214C3×C4×C8—31no—
215#835—31no—
216#832—31no—
217#818C2×D311yescharacteristic
218#816—31no—
219#816—31no—
220#815—31no—
221#815—31no—
222#815—31no—
223#815—61no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226C8×Dic3C2×D311yescharacteristic
227#810—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—31no—
233#810—31no—
234#810—61no—
235#810—61no—
236#810C2×D311yescharacteristic
237#809—31no—
238#809C2×D311yescharacteristic
239#808C2×D311yescharacteristic
240#807C2×D311yescharacteristic
241#803—31no—
242C22×C3×D3—21no—
243C22×C3×D3C2×D411yescharacteristic
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249C2×C3⋊Dic3C2×D411yescharacteristic
250C2×C3⋊Dic3C2×D411yescharacteristic
251#634—21no—
252#634—21no—
253#634C22×C412yes—
254#634C22×C412yes—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C3×D12—21no—
262C3×D12C22×C412yes—
263C3×C4×D3—81no—
264C3×C4×D3—81no—
265C3×C4×D3C22×C412yes—
266C3×C4×D3#4112yes—
267C3×Dic6—21no—
268C3×Dic6C22×C412yes—
269#627—24no—
270#625—24no—
271D3×Dic3—24no—
272D3×Dic3—24no—
273D3×Dic3—81no—
274C32×C8C22×C412yes—
275C3⋊(C3⋊C8)—21no—
276C3×C3⋊C8—21no—
277C3×C3⋊C8C22×C412yes—
278C2×#137—91no—
279#520—91no—
280#519—91no—
281#441—91no—
282#441—91no—
283#440—91no—
284#440—91no—
285C4×Q16—91no—
286C4×Q16—91no—
287C4×SD16—31no—
288C4×SD16—91no—
289#428—31no—
290#416—91no—
291C2×#103—91no—
292#405—91no—
293C2×C3×Q8—31no—
294C2×C3×D4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C2×#67—61no—
299C2×#67—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303D3×Q8—34no—
304D3×Q8—62no—
305#237—34no—
306#237—62no—
307#235—34no—
308#235—62no—
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—21no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3C22×D311yescharacteristic
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—34no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—62no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6C22×D311yescharacteristic
327C3×SD16—34no—
328C3×M16—34no—
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⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
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—31no—
351#217—61no—
352#216—34no—
353#214—34no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—31no—
367Dic3⋊C4—31no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—121no—
378Dic3⋊C4—121no—
379C4×Dic3—21no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—121no—
395C4×Dic3—121no—
396C4×Dic3C22×D311yescharacteristic
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—62no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403Dic12—34no—
404Dic12—34no—
405Dic12—34no—
406Dic12—64no—
407#204—34no—
408#204C4×D314yescomplemented
409ΓL(1,𝔽25)C4×D314yescomplemented
410D3×C8—62no—
411C22×C32C22×D411yescharacteristic
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—22no—
415C2×C3×D3—41no—
416C2×C3×D3—41no—
417C2×C3×D3C4×D412yes—
418C32×C4—41no—
419C32×C4—41no—
420C32×C4C23×C411yescharacteristic
421C32×C4C2×#4111yescharacteristic
422C3⋊Dic3—22no—
423C3⋊Dic3—22no—
424C3⋊Dic3—21no—
425C3⋊Dic3—21no—
426C3×Dic3—22no—
427C3×Dic3—21no—
428C3×Dic3—21no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3C4×D412yes—
432C2×#41—91no—
433C22×Q8—91no—
434#137—98no—
435C2×Q16—91no—
436C2×Q16—91no—
437C2×SD16—31no—
438C2×SD16—91no—
439C2×M16—31no—
440C22×C8—91no—
441C4×Q8—31no—
442C4×Q8—91no—
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—181no—
448C4×Q8—181no—
449C4×D4—31no—
450C4×D4—91no—
451C4×D4—181no—
452C4×D4—181no—
453#117—31no—
454#117—91no—
455#117—181no—
456#117—181no—
457#117—181no—
458C2×C4⋊C4—31no—
459C2×C4⋊C4—181no—
460#107—31no—
461#107—31no—
462#106—31no—
463#106D3211yescharacteristic
464#103—31no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469#103—91no—
470#102—31no—
471#102—91no—
472#97—91no—
473#97—91no—
474C4×C8—31no—
475C4×C8—91no—
476C23×C3—31no—
477C23×C3—61no—
478C22×D3—21no—
479C22×D3D3×D411yescharacteristic
480C3×Q8—32no—
481C3×Q8—61no—
482C3×D4—32no—
483C3×D4—61no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—32no—
491C2×C3×C4—32no—
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—241no—
500C2×C3×C4—241no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—64no—
504#67—64no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—64no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—64no—
520C2×Dic3—121no—
521C2×Dic3—121no—
522C2×Dic3—241no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—21no—
527D12C2×C4×D312yes—
528C4×D3—64no—
529C4×D3—64no—
530C4×D3—81no—
531C4×D3—81no—
532C4×D3—241no—
533C4×D3C2×C4×D312yes—
534C4×D3#23912yes—
535Dic6—21no—
536Dic6—32no—
537Dic6—32no—
538Dic6—32no—
539Dic6—32no—
540Dic6—62no—
541Dic6—62no—
542Dic6—64no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—64no—
548Dic6—121no—
549Dic6—121no—
550Dic6C2×C4×D312yes—
551C3×C8—22no—
552C3×C8—32no—
553C3×C8—61no—
554C3×C8C2×C4×D312yes—
555C3×C8C2×C4×D312yes—
556C3⋊C8—21no—
557C3⋊C8—61no—
558C3⋊C8—61no—
559C3⋊C8—121no—
560C3⋊C8C2×C4×D312yes—
561C2×C32C2×C4×D411yescharacteristic
562C2×C32#57711yescharacteristic
563C2×C32#57811yescharacteristic
564C3×D3—22no—
565C3×D3—42no—
566#41—94no—
567#41—182no—
568C2×Q8—31no—
569C2×Q8—94no—
570C2×Q8—91no—
571C2×Q8—91no—
572C2×Q8—181no—
573C2×Q8—182no—
574C2×D4—31no—
575C2×D4—181no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582Q16—94no—
583Q16—94no—
584SD16—34no—
585SD16—94no—
586M16—34no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—91no—
590C2×C8—182no—
591C2×C8C2×D3211yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4C2×D3211yescharacteristic
604C4⋊C4C2×D3211yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C42—31no—
611C42—61no—
612C42—61no—
613C42—91no—
614C42—181no—
615C42—181no—
616C42—181no—
617C42—181no—
618C42—181no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—62no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—22no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3#89312yes—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—62no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—81no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C22×C4×D311yescharacteristic
649C3×C4C22×C4×D311yescharacteristic
650C3×C4C2×#23911yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—22no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—62no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—62no—
664Dic3—62no—
665Dic3—122no—
666Dic3—122no—
667Dic3—121no—
668Dic3—121no—
669Dic3#89312yes—
670C32#294711yescharacteristic, complemented, Sylow
671C23—31no—
672C23—61no—
673Q8—32no—
674Q8—61no—
675Q8—92no—
676Q8—92no—
677Q8—184no—
678Q8—181no—
679Q8—181no—
680D4—32no—
681D4—61no—
682D4—184no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—31no—
686C2×C4—32no—
687C2×C4—32no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—91no—
694C2×C4—91no—
695C2×C4—184no—
696C2×C4—184no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—241no—
700C2×C4—241no—
701C2×C4—721no—
702C2×C4C22×D3211yescharacteristic
703C8—32no—
704C8—61no—
705C8—181no—
706C8C4×D3212yes—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—62no—
711C2×C3—122no—
712C2×C3C2×#89311yescharacteristic
713C2×C3C4×D3×D411yescharacteristic
714C2×C3#576211yescharacteristic
715C2×C3#577111yescharacteristic
716C2×C3#577511yescharacteristic
717C2×C3#577911yescharacteristic
718D3—22no—
719D3—42no—
720C22—32no—
721C22—61no—
722C22—61no—
723C22—62no—
724C22—121no—
725C22—121no—
726C22D32×D411yescharacteristic
727C4—32no—
728C4—41no—
729C4—41no—
730C4—62no—
731C4—61no—
732C4—61no—
733C4—121no—
734C4—121no—
735C4—182no—
736C4—182no—
737C4—181no—
738C4—181no—
739C4C2×C4×D3211yescharacteristic
740C4D3×#23911yescharacteristic
741C3—21no—
742C3#7920211yescharacteristic, complemented
743C3#7964811yescharacteristic, complemented
744C2—62no—
745C2—122no—
746C2D3×#89311yescharacteristic
747C2#1059474911yescharacteristic
748C2#1059475611yescharacteristic
subgroupG/H
centerC22D32×D4
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC2×#3795C22
cosocleC2×C32×C4C24
hypercenter#106D32
hypocenterC32#2947
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
3. #10594357C2semidirect
4. #10592552C2semidirect
5. C3×#4861C2semidirect
6. C3×#4852C2semidirect
7. #10590908C2semidirect
8. #10590807C2semidirect
9. #10590779C2semidirect
11. D3×#810C2semidirect
12. #10590590C2semidirect
13. #10590482C2semidirect
14. #10590480C2semidirect
15. #10590460C2semidirect
45. #63800C4semidirect
80. #4861D3semidirect
86. #4852D3semidirect
108. D3×Dic6C2×C4semidirect
118. #3746C2×C4semidirect
130. C3×#204C2×C4semidirect
131. C3×ΓL(1,𝔽25)C2×C4semidirect
143. #3719C2×C4semidirect
144. #3716C2×C4semidirect
408. #204C4×D3semidirect
409. ΓL(1,𝔽25)C4×D3semidirect
670. C32#2947semidirect
742. C3#79202semidirect
743. C3#79648semidirect

Maximal subgroups

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

subgroupindex
C2×#638002
#105943592
#105943572
#105925522
C3×#48612
C3×#48522
#105909082
#105908072
#105907792
#105906082
D3×#8102
#105905902
#105904822
#105904802
#105904602
#796483
#792023