Finite Group Databasebeta

← #14776274

Subgroups — #14776274

Order 2816.

892 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078067C211yesmaximal, characteristic
2C2×#10622809C211yesmaximal, characteristic, complemented
3C2×#10622757C211yesmaximal, characteristic, complemented
4#13077356C211yesmaximal, characteristic, complemented
5#13077182C211yesmaximal, characteristic, complemented
6#13069442C211yesmaximal, characteristic, complemented
7#13069390C211yesmaximal, characteristic, complemented
8#13069323C211yesmaximal, characteristic, complemented
9#13069318C211yesmaximal, characteristic, complemented
10#13068941C211yesmaximal, characteristic, complemented
11#13068894C211yesmaximal, characteristic, complemented
12#13068889C211yesmaximal, characteristic, complemented
13#13068464C211yesmaximal, characteristic, complemented
14#104×Dic11C211yesmaximal, characteristic, complemented
15C11×#1876C211yesmaximal, characteristic, complemented
16C2×C11×#135C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18#10623363C2211yescharacteristic
19#41×Dic11C2211yescharacteristic
20C2×#67003C2211yescharacteristic
21C2×#67001C2211yescharacteristic
22C2×#67001C2211yescharacteristic
23C2×#66954C2211yescharacteristic
24C2×C11×#104C2211yescharacteristic
25C2×C11×#104C2211yescharacteristic
26C11×#408C2211yescharacteristic
27C2×#66901C2211yescharacteristic
28C2×#66901C2211yescharacteristic
29#10622846C2211yescharacteristic
30#10622809—24no—
31#10622798C411yescharacteristic, complemented
32#10622795C411yescharacteristic, complemented
33#10622779C411yescharacteristic, complemented
34#10622778C411yescharacteristic, complemented
35#10622776C411yescharacteristic, complemented
36#10622775C411yescharacteristic, complemented
37#10622766C411yescharacteristic, complemented
38#10622763C411yescharacteristic, complemented
39#10622757—24no—
40C2×#66889C2211yescharacteristic
41#10622742C2211yescharacteristic
42C2×#66886C2211yescharacteristic
43#10622732—21no—
44#10622732C2211yescharacteristic
45#10622731—21no—
46#10622731C2211yescharacteristic
47M16×Dic11C2211yescharacteristic
48#10622726C2211yescharacteristic
49C2×#66883C2211yescharacteristic
50#10622715—21no—
51#10622715C2211yescharacteristic
52C2×Dic11⋊C8—21no—
53C2×Dic11⋊C8C2211yescharacteristic
54C2×Dic11⋊C8C2211yescharacteristic
55C2×C8×Dic11C2211yescharacteristic
56C2×C8×Dic11C2211yescharacteristic
57C42×Dic11C2211yescharacteristic
58C2×#66869C2211yescharacteristic
59#10622343—21no—
60#10622342—21no—
61#10622341—21no—
62(C22⋊D11)⋊C8—21no—
63C11×#341C2211yescharacteristic
64C11×#336C2211yescharacteristic
65#10622196C2211yescharacteristic
66#10622193C2211yescharacteristic
67#10622162C2211yescharacteristic
68#10622161C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×C11×#41C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#135—22no—
73C11×#135—22no—
74C2×C11×Q16C2×C411yescharacteristic
75C2×C11×SD16C2×C411yescharacteristic
76C2×C11×SD16C2×C411yescharacteristic
77C2×C11×D8C2×C411yescharacteristic
78C11×#131—22no—
79C11×#131—41no—
80C2×C11×M16—21no—
81C2×C11×M16C2311yescharacteristic
82C2×C11×M16C2311yescharacteristic
83C22×C8×C11—21no—
84C22×C8×C11C2311yescharacteristic
85C22×C8×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87#67003—22no—
88#67003—22no—
89#67001—22no—
90#67001—22no—
91#67001—41no—
92#67001—41no—
93#67000C2×C411yescharacteristic
94Q8×Dic11C2×C411yescharacteristic
95Q8×Dic11C2×C411yescharacteristic
96#66997C2×C411yescharacteristic
97C2×#4326C2×C411yescharacteristic
98C2×#4325C2×C411yescharacteristic
99#66993C2×C411yescharacteristic
100#66992—21no—
101#66992—21no—
102#66989C2×C411yescharacteristic
103D4×Dic11—21no—
104D4×Dic11—21no—
105D4×Dic11C2×C411yescharacteristic
106D4×Dic11C2×C411yescharacteristic
107C2×#4324C2×C411yescharacteristic
108C2×#4323C2×C411yescharacteristic
109C4×C22⋊D11—21no—
110C4×C22⋊D11—21no—
111#66979—21no—
112#66979C2311yescharacteristic
113C2×C4×Dic11—21no—
114C2×C4×Dic11—21no—
115C2×C4×Dic11—21no—
116C2×C4×Dic11C2311yescharacteristic
117C2×C4×Dic11C2311yescharacteristic
118C2×#4318—21no—
119C2×#4318—21no—
120C2×#4318C2311yescharacteristic
121C2×#4318C2311yescharacteristic
122C22×C11⋊C8—21no—
123C22×C11⋊C8—21no—
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126#66954—22no—
127#66954—41no—
128C2×#4313—21no—
129C2×C8×D11—21no—
130C11×#104—22no—
131C11×#104—41no—
132C11×C22⋊C8—21no—
133C11×C22⋊C8—21no—
134#66901—22no—
135#66901D414yescomplemented
136#66899C2×C411yescharacteristic
137#66899C2×C411yescharacteristic
138#66896C2×C411yescharacteristic
139#66896C2×C411yescharacteristic
140#66889—22no—
141#66886—22no—
142#66885C2×C411yescharacteristic
143#66885C2×C411yescharacteristic
144(C2×D11)⋊C8—21no—
145(C2×D11)⋊C8—21no—
146#66883—22no—
147#66880C2×C411yescharacteristic
148#66880C2×C411yescharacteristic
149#66879—21no—
150Dic11⋊C8—21no—
151Dic11⋊C8—21no—
152Dic11⋊C8—21no—
153Dic11⋊C8—21no—
154Dic11⋊C8—21no—
155Dic11⋊C8—21no—
156Dic11⋊C8C2×C411yescharacteristic
157Dic11⋊C8C2×C411yescharacteristic
158Dic11⋊C8C2×C411yescharacteristic
159Dic11⋊C8C2×C411yescharacteristic
160Dic11⋊C8D411yescharacteristic
161Dic11⋊C8D411yescharacteristic
162Dic11⋊C8D411yescharacteristic
163Dic11⋊C8D411yescharacteristic
164C8×Dic11—21no—
165C8×Dic11—22no—
166C8×Dic11—22no—
167#66869—41no—
168#23015—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—21no—
172C11×#41—21no—
173C11×#41—21no—
174C11×#41—21no—
175C11×#41C2×D412yes—
176C11×#41#4112yes—
177C2×Q8×C11C22×C411yescharacteristic
178C2×Q8×C11C22×C411yescharacteristic
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11C22×C411yescharacteristic
182C2×D4×C11C22×C411yescharacteristic
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11C2411yescharacteristic
187C2×C22⋊D11—21no—
188C2×C22⋊D11—21no—
189C2×C22⋊D11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11#4111yescharacteristic
194C22×Dic11#4111yescharacteristic
195#4339—21no—
196#4339—21no—
197#4339—21no—
198#4339—21no—
199C2×D44C22×C411yescharacteristic
200C2×C4×D11—21no—
201C2×Dic22C22×C411yescharacteristic
202C11×Q16—22no—
203C11×SD16—22no—
204C11×SD16—22no—
205C11×D8—22no—
206C11×M16—21no—
207C11×M16—21no—
208C11×M16—21no—
209C11×M16—21no—
210C11×M16—42no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—42no—
218C2×C8×C11C22×C411yescharacteristic
219C2×C8×C11C22×C411yescharacteristic
220C2×C8×C11C2×D411yescharacteristic
221C2×C8×C11C2×D411yescharacteristic
222C42×C11—21no—
223C42×C11—21no—
224C22⋊Dic11—21no—
225C22⋊Dic11—21no—
226C22⋊Dic11—21no—
227C22⋊Dic11—21no—
228C22⋊Dic11—21no—
229#4326—22no—
230#4325—22no—
231#4324—22no—
232#4323—22no—
233(C2×D11)⋊C4—21no—
234(C2×D11)⋊C4—21no—
235C4⋊Dic11—21no—
236C4⋊Dic11—21no—
237C4⋊Dic11C22×C411yescharacteristic
238C4⋊Dic11C22×C411yescharacteristic
239Dic11⋊C4—21no—
240Dic11⋊C4—21no—
241C4×Dic11—24no—
242C4×Dic11—21no—
243C4×Dic11—21no—
244C4×Dic11—21no—
245C4×Dic11—21no—
246C4×Dic11—42no—
247C4×Dic11C22×C411yescharacteristic
248C4×Dic11C22×C411yescharacteristic
249C4×Dic11C2×D412yes—
250C4×Dic11C2×D411yescharacteristic
251C4×Dic11C2×D411yescharacteristic
252#4318—21no—
253#4318—21no—
254#4318—21no—
255#4318—42no—
256#4318—42no—
257#4318C2×D412yes—
258C2×C11⋊C8—21no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8—21no—
264C2×C11⋊C8—42no—
265C2×C11⋊C8—42no—
266C2×C11⋊C8C22×C411yescharacteristic
267C2×C11⋊C8C22×C411yescharacteristic
268C2×C11⋊C8C2×D411yescharacteristic
269C2×C11⋊C8C2×D411yescharacteristic
270#4313—42no—
271C8×D11—42no—
272#3035—111no—
273C2×#443—111no—
274C2×#443—111no—
275#2935—111no—
276#2906—111no—
277#1962—111no—
278#1950—111no—
279#1937—111no—
280#1937—111no—
281#1876—111no—
282#1876D1111yescharacteristic, complemented
283#1866—111no—
284#1866—111no—
285C4×C4⋊C8—111no—
286C4×#104—111no—
287C23×C11—21no—
288C23×C11—21no—
289C23×C11C2×#4111yescharacteristic
290C22×D11—21no—
291Q8×C11—21no—
292Q8×C11—21no—
293Q8×C11—21no—
294Q8×C11C4×D412yes—
295D4×C11—22no—
296D4×C11—22no—
297D4×C11—21no—
298D4×C11—21no—
299D4×C11—21no—
300D4×C11—41no—
301D4×C11—41no—
302D4×C11C4×D412yes—
303C2×C4×C11—21no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—21no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11C23×C411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11H(5,𝔽2)11yescharacteristic
317C2×C4×C112−1+411yescharacteristic
318C22⋊D11—41no—
319C22⋊D11—41no—
320C22⋊D11—42no—
321C22⋊D11—81no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—21no—
327C2×Dic11—21no—
328C2×Dic11—21no—
329C2×Dic11—41no—
330C2×Dic11—42no—
331C2×Dic11—81no—
332C2×Dic11C4×D411yescharacteristic
333C2×Dic11C4×D411yescharacteristic
334C2×Dic11C4×D411yescharacteristic
335C2×Dic11C4×D411yescharacteristic
336D44—21no—
337D44—21no—
338C4×D11—41no—
339C4×D11—41no—
340Dic22—21no—
341Dic22—21no—
342C8×C11—21no—
343C8×C11—21no—
344C8×C11—21no—
345C8×C11—21no—
346C8×C11—41no—
347C8×C11—41no—
348C11⋊C8—21no—
349C11⋊C8—21no—
350C11⋊C8—22no—
351C11⋊C8—21no—
352C11⋊C8—21no—
353C11⋊C8—41no—
354C2×#135—111no—
355C2×#135C2×D1111yescharacteristic
356C2×#131—111no—
357C2×#131—111no—
358C2×#131—111no—
359C2×#131C2×D1111yescharacteristic
360#532—111no—
361C4×#41—111no—
362#464—111no—
363#464—111no—
364#463—111no—
365#463—111no—
366#462—111no—
367#461—111no—
368#460—111no—
369#459—111no—
370#443—224no—
371#443—224no—
372#436—221no—
373#435—221no—
374#435—221no—
375C8×D4—221no—
376C2×#108—111no—
377C2×#108—111no—
378#424—111no—
379#424—111no—
380#424—221no—
381#424—221no—
382#423—111no—
383#423—221no—
384C2×C4⋊C8—111no—
385C2×C4⋊C8—111no—
386C2×C4⋊C8—221no—
387C2×#104—111no—
388C2×#104—111no—
389C2×#104—111no—
390C2×#104—111no—
391C2×#104C2×D1111yescharacteristic
392C2×#104C2×D1111yescharacteristic
393#416—111no—
394#416—111no—
395#408—111no—
396#408C2×D1111yescharacteristic
397C4×M16—111no—
398C2×C4×C8—111no—
399C2×C4×C8—111no—
400C43—111no—
401#341—111no—
402#341C2×D1111yescharacteristic
403#339—111no—
404#339—111no—
405#336—111no—
406#336C2×D1111yescharacteristic
407C22×C11—21no—
408C22×C11—21no—
409C22×C11—22no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11—41no—
415C22×C11C2×C4×D411yescharacteristic
416C22×C11#54711yescharacteristic
417C22×C11#55311yescharacteristic
418C2×D11—41no—
419C2×D11—41no—
420C2×D11—41no—
421C4×C11—22no—
422C4×C11—42no—
423C4×C11—41no—
424C4×C11C2×C4×D411yescharacteristic
425C4×C11#52011yescharacteristic
426C4×C11D4211yescharacteristic
427C4×C11#54811yescharacteristic
428Dic11—24no—
429Dic11—21no—
430Dic11—21no—
431Dic11—21no—
432Dic11—41no—
433Dic11—41no—
434Dic11—41no—
435Dic11#44312yescomplemented
436C2×#41—111no—
437C2×#41C22×D1111yescharacteristic
438C2×#41C22×D1111yescharacteristic
439#135—22no—
440#135—22no—
441#135—222no—
442#135—222no—
443C2×Q16—111no—
444C2×Q16C4×D1111yescharacteristic
445C2×SD16—111no—
446C2×SD16—111no—
447C2×SD16C4×D1111yescharacteristic
448C2×SD16C4×D1111yescharacteristic
449C2×D8—111no—
450C2×D8C4×D1111yescharacteristic
451#131—22no—
452#131—41no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—441no—
457#131—441no—
458#131—441no—
459C2×M16—21no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16—221no—
465C2×M16C22×D1111yescharacteristic
466C2×M16C22×D1111yescharacteristic
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8—221no—
473C22×C8C22×D1111yescharacteristic
474C22×C8C22×D1111yescharacteristic
475C4⋊Q8—111no—
476#127—111no—
477#124—111no—
478#124—111no—
479#121—221no—
480#121—221no—
481C4×Q8—111no—
482C4×Q8—111no—
483C4×D4—111no—
484C4×D4—111no—
485C4×D4—221no—
486C4×D4—221no—
487C4×D4—221no—
488C4×D4—221no—
489#117—111no—
490#117—221no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—221no—
494C2×C42—221no—
495C2×C42—221no—
496C2×C42C22×D1111yescharacteristic
497#108—222no—
498#108—222no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—111no—
502C4⋊C8—111no—
503C4⋊C8—111no—
504C4⋊C8—111no—
505C4⋊C8—111no—
506C4⋊C8—111no—
507C4⋊C8—221no—
508C4⋊C8—221no—
509C4⋊C8—221no—
510C4⋊C8—221no—
511C4⋊C8—221no—
512C4⋊C8—221no—
513#104—22no—
514#104—41no—
515#104—114no—
516#104—222no—
517#104—222no—
518#104—441no—
519#103—111no—
520#103—111no—
521#103—111no—
522#103—111no—
523#102—111no—
524#102—111no—
525#102—111no—
526#102—111no—
527C22⋊C8—21no—
528C22⋊C8—21no—
529C22⋊C8—221no—
530C22⋊C8—221no—
531#97—221no—
532C4×C8—222no—
533C4×C8—222no—
534C4×C8—221no—
535C2×C11—21no—
536C2×C11—21no—
537C2×C11—42no—
538C2×C11—81no—
539C2×C11#236111yescharacteristic
540C2×C11C2×#44311yescharacteristic
541C2×C11#295611yescharacteristic
542D11—81no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41—221no—
553#41D4×D1112yes—
554#41#434112yes—
555C2×Q8—111no—
556C2×Q8C2×C4×D1111yescharacteristic
557C2×Q8C2×C4×D1111yescharacteristic
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—111no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4—221no—
564C2×D4C2×C4×D1111yescharacteristic
565C2×D4C2×C4×D1111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—111no—
570C22×C4—111no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4C23×D1111yescharacteristic
576Q16—22no—
577Q16—222no—
578SD16—22no—
579SD16—22no—
580SD16—222no—
581SD16—222no—
582D8—22no—
583D8—222no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—42no—
589M16—112no—
590M16—221no—
591M16—221no—
592M16—221no—
593M16—442no—
594M16—442no—
595M16—442no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—42no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—111no—
606C2×C8—111no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—221no—
613C2×C8—442no—
614C2×C8—442no—
615C2×C8—442no—
616C2×C8C2×C4×D1111yescharacteristic
617C2×C8C2×C4×D1111yescharacteristic
618C2×C8D4×D1111yescharacteristic
619C2×C8D4×D1111yescharacteristic
620C4⋊C4—111no—
621C4⋊C4—111no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—221no—
626C22⋊C4—221no—
627C22⋊C4—221no—
628C22⋊C4—221no—
629C22⋊C4—221no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—21no—
634C42—21no—
635C42—111no—
636C42—111no—
637C42—111no—
638C42—111no—
639C42—112no—
640C42—221no—
641C42—221no—
642C42—224no—
643C42—221no—
644C42—221no—
645C42—442no—
646C11#2301511yescharacteristic, complemented, Sylow
647C23—21no—
648C23—21no—
649C23—221no—
650C23#41×D1111yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—21no—
654Q8—221no—
655Q8—221no—
656Q8(C22⋊D11)⋊C412yes—
657D4—22no—
658D4—22no—
659D4—21no—
660D4—21no—
661D4—21no—
662D4—41no—
663D4—41no—
664D4—221no—
665D4—221no—
666D4—442no—
667D4—441no—
668D4—441no—
669D4—881no—
670D4(C22⋊D11)⋊C412yes—
671C2×C4—21no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—111no—
681C2×C4—111no—
682C2×C4—111no—
683C2×C4—111no—
684C2×C4—222no—
685C2×C4—222no—
686C2×C4—222no—
687C2×C4—222no—
688C2×C4—221no—
689C2×C4—221no—
690C2×C4—221no—
691C2×C4—442no—
692C2×C4—441no—
693C2×C4—441no—
694C2×C4—441no—
695C2×C4—881no—
696C2×C4C22×C4×D1111yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C2×D4×D1111yescharacteristic
699C2×C4C2×#434111yescharacteristic
700C2×C4#6703711yescharacteristic
701C2×C4#6704311yescharacteristic
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—41no—
707C8—41no—
708C8—221no—
709C8—221no—
710C8—221no—
711C8—221no—
712C8—222no—
713C8—441no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—441no—
723C22—441no—
724C22—441no—
725C22C4×D4×D1111yescharacteristic
726C22#1062313211yescharacteristic
727C22#1062318611yescharacteristic
728C4—22no—
729C4—42no—
730C4—41no—
731C4—112no—
732C4—224no—
733C4—221no—
734C4—221no—
735C4—221no—
736C4—441no—
737C4—441no—
738C4—441no—
739C4C2×(C22⋊D11)⋊C411yescharacteristic
740C4#1062307711yescharacteristic
741C4#1062312111yescharacteristic
742C4#1062312911yescharacteristic
743C2—21no—
744C2—21no—
745C2—42no—
746C2—81no—
747C2—881no—
748C2#1307162711yescharacteristic
749C2D11×#44311yescharacteristic
750C2#1307752411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1876C2
socleC22×C11C2×C4×D4
prime radical#13078067C2
cosocleC22×C4×C11C24
hypercenter#1876D11
hypocenterC11#23015
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1876

Complements

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

NH ≅ G/Ntype
2. C2×#10622809C2semidirect
3. C2×#10622757C2semidirect
4. #13077356C2semidirect
5. #13077182C2semidirect
6. #13069442C2semidirect
7. #13069390C2semidirect
8. #13069323C2semidirect
9. #13069318C2semidirect
10. #13068941C2semidirect
11. #13068894C2semidirect
12. #13068889C2semidirect
13. #13068464C2semidirect
14. #104×Dic11C2semidirect
15. C11×#1876C2semidirect
31. #10622798C4semidirect
32. #10622795C4semidirect
33. #10622779C4semidirect
34. #10622778C4semidirect
35. #10622776C4semidirect
36. #10622775C4semidirect
37. #10622766C4semidirect
38. #10622763C4semidirect
135. #66901D4semidirect
282. #1876D11semidirect
435. Dic11#443semidirect
646. C11#23015semidirect

Maximal subgroups

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

subgroupindex
#130780672
C2×#106228092
C2×#106227572
#130773562
#130771822
#130694422
#130693902
#130693232
#130693182
#130689412
#130688942
#130688892
#130684642
#104×Dic112
C11×#18762
#2301511