Finite Group Databasebeta

← #14760239

Subgroups — #14760239

Order 2816.

902 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
1#13078071C211yesmaximal, characteristic
2C2×#10622758C211yesmaximal, characteristic, complemented
3C2×#10622757C211yesmaximal, characteristic, complemented
4#13077335C211yesmaximal, characteristic, complemented
5#13069535C211yesmaximal, characteristic, complemented
6#13069391C211yesmaximal, characteristic, complemented
7#13069264C211yesmaximal, characteristic, complemented
8#13069264C211yesmaximal, characteristic, complemented
9#13068943C211yesmaximal, characteristic, complemented
10#13068943C211yesmaximal, characteristic, complemented
11#13068636C211yesmaximal, characteristic, complemented
12#13068488C211yesmaximal, characteristic, complemented
13#13068462C211yesmaximal, characteristic, complemented
14#13068455C211yesmaximal, characteristic, complemented
15C11×#2875C211yesmaximal, characteristic, complemented
16C2×C11×#131C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C4×C11×#41C2211yescharacteristic
19C2×#67003C2211yescharacteristic
20C2×#67003C2211yescharacteristic
21C2×#66954C2211yescharacteristic
22C2×#66954C2211yescharacteristic
23#10623008C2211yescharacteristic
24C11×#405—21no—
25C11×#405—21no—
26C11×#405C2211yescharacteristic
27C11×#405C2211yescharacteristic
28C4×C11×M16—21no—
29C4×C11×M16C2211yescharacteristic
30C2×C11×#97—21no—
31C2×C11×#97C2211yescharacteristic
32C2×#66901C2211yescharacteristic
33C2×#66901C2211yescharacteristic
34#10622758—24no—
35#10622757—24no—
36C2×#66889C2211yescharacteristic
37C2×#66889C2211yescharacteristic
38C2×#66889C2211yescharacteristic
39C2×#66889C2211yescharacteristic
40C2×#66886C2211yescharacteristic
41C2×#66886C2211yescharacteristic
42#10622723C2211yescharacteristic
43#10622723C2211yescharacteristic
44C2×#66879C2211yescharacteristic
45C2×C8×Dic11C2211yescharacteristic
46#10622644C411yescharacteristic, complemented
47#10622641C411yescharacteristic, complemented
48#10622641C411yescharacteristic, complemented
49#10622640C411yescharacteristic, complemented
50#10622632C411yescharacteristic, complemented
51#10622629C411yescharacteristic, complemented
52#10622629C411yescharacteristic, complemented
53#10622628C411yescharacteristic, complemented
54#10622615C2211yescharacteristic
55#10622615C2211yescharacteristic
56C4×C4⋊Dic11C2211yescharacteristic
57#10622537C2211yescharacteristic
58C2×C4⋊(C11⋊C8)C2211yescharacteristic
59#10622319—21no—
60#10622319—21no—
61#10622319—21no—
62#10622319—21no—
63#10622196C2211yescharacteristic
64#10622196C2211yescharacteristic
65#10622188C2211yescharacteristic
66#10622188C2211yescharacteristic
67#10622170C2211yescharacteristic
68#10622170C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×#4339C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#131—22no—
73C11×#131—22no—
74C11×#131—22no—
75C11×#131D414yescomplemented
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16C2311yescharacteristic
79C2×C11×M16C2311yescharacteristic
80C22×C8×C11—21no—
81C22×C8×C11—21no—
82C22×C8×C11C2311yescharacteristic
83C22×C8×C11C2311yescharacteristic
84C4×Q8×C11C2×C411yescharacteristic
85C4×Q8×C11C2×C411yescharacteristic
86C4×D4×C11—21no—
87C4×D4×C11—21no—
88C4×D4×C11C2×C411yescharacteristic
89C4×D4×C11C2×C411yescharacteristic
90C11×#117—21no—
91C11×#117C2311yescharacteristic
92C2×C42×C11—21no—
93C2×C42×C11C2311yescharacteristic
94#67003—22no—
95#67003—22no—
96#67003—22no—
97#67003—22no—
98C2×#4326C2×C411yescharacteristic
99C2×#4326C2×C411yescharacteristic
100C2×#4325C2×C411yescharacteristic
101C2×#4325C2×C411yescharacteristic
102C2×#4324C2×C411yescharacteristic
103C2×#4324C2×C411yescharacteristic
104C2×#4323C2×C411yescharacteristic
105C2×#4323C2×C411yescharacteristic
106#66983—21no—
107#66983—21no—
108C2×C4⋊Dic11—21no—
109C2×C4×Dic11C2311yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C2×#4318C2311yescharacteristic
112C2×#4318C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115#66954—22no—
116#66954—22no—
117#66954—22no—
118#66954—22no—
119C2×#4313—21no—
120C2×#4313—21no—
121C2×C8×D11—21no—
122C2×C8×D11—21no—
123#66928C2×C411yescharacteristic
124#66928C2×C411yescharacteristic
125#66927C2×C411yescharacteristic
126C4×D44—21no—
127C4×D44—21no—
128#66922C2×C411yescharacteristic
129C11×#97—21no—
130C11×#97—21no—
131C11×#97—21no—
132C11×#97D411yescharacteristic
133C11×#97D411yescharacteristic
134C11×#97D411yescharacteristic
135C11×#97D411yescharacteristic
136C4×C8×C11—21no—
137C4×C8×C11—21no—
138C4×C8×C11—21no—
139#66901—22no—
140#66901—22no—
141C11⋊#95—21no—
142#66889—22no—
143#66889—22no—
144#66889—22no—
145#66889—22no—
146#66886—22no—
147#66886—22no—
148(C2×D11)⋊C8—21no—
149(C2×D11)⋊C8—21no—
150(C2×D11)⋊C8—21no—
151(C2×D11)⋊C8—21no—
152#66879—22no—
153C8×Dic11—22no—
154#66874C2×C411yescharacteristic
155#66874C2×C411yescharacteristic
156#66874C2×C411yescharacteristic
157#66874C2×C411yescharacteristic
158#66873C2×C411yescharacteristic
159#66873C2×C411yescharacteristic
160#66873C2×C411yescharacteristic
161#66873C2×C411yescharacteristic
162C4⋊(C11⋊C8)—21no—
163C4⋊(C11⋊C8)—21no—
164C4⋊(C11⋊C8)C2×C411yescharacteristic
165C4⋊(C11⋊C8)C2×C411yescharacteristic
166C4⋊(C11⋊C8)C2×C411yescharacteristic
167C4⋊(C11⋊C8)C2×C411yescharacteristic
168#21519—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41C2×D412yes—
172C11×#41#4112yes—
173C2×Q8×C11C22×C411yescharacteristic
174C2×D4×C11—21no—
175C2×D4×C11C22×C411yescharacteristic
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11#4111yescharacteristic
180C22×C4×C11#4111yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C2×C22⋊D11—21no—
183C2×C22⋊D11—21no—
184C22×Dic11—21no—
185C22×Dic11—21no—
186#4339—21no—
187#4339—21no—
188#4339—21no—
189#4339—21no—
190#4339—21no—
191#4339—21no—
192#4339—21no—
193#4339—21no—
194C2×D44—21no—
195C2×D44—21no—
196C2×D44C22×C411yescharacteristic
197C2×D44C22×C411yescharacteristic
198C2×C4×D11—21no—
199C2×C4×D11—21no—
200C2×Dic22C22×C411yescharacteristic
201C2×Dic22C22×C411yescharacteristic
202C11×M16—24no—
203C11×M16—24no—
204C11×M16—21no—
205C11×M16—21no—
206C11×M16C2×D412yes—
207C11×M16#4112yes—
208C2×C8×C11—24no—
209C2×C8×C11—24no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—21no—
214C2×C8×C11C2×D412yes—
215C2×C8×C11C2×D411yescharacteristic
216C2×C8×C11C2×D411yescharacteristic
217C2×C8×C11C2×D411yescharacteristic
218C2×C8×C11C2×D411yescharacteristic
219C2×C8×C11#4112yes—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4C22×C411yescharacteristic
223C11×C4⋊C4C22×C411yescharacteristic
224C11×C22⋊C4—21no—
225C11×C22⋊C4—21no—
226C11×C22⋊C4—21no—
227C42×C11—21no—
228C42×C11—21no—
229C42×C11—21no—
230C42×C11C22×C411yescharacteristic
231C42×C11C22×C411yescharacteristic
232C42×C11C2×D411yescharacteristic
233C42×C11C2×D411yescharacteristic
234#4326—22no—
235#4326—22no—
236#4325—22no—
237#4325—22no—
238#4324—22no—
239#4324—22no—
240#4323—22no—
241#4323—22no—
242(C2×D11)⋊C4—21no—
243(C2×D11)⋊C4—21no—
244(C2×D11)⋊C4—21no—
245(C2×D11)⋊C4—21no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11—42no—
249C4×Dic11—21no—
250C4×Dic11—21no—
251C4×Dic11—21no—
252C4×Dic11—21no—
253#4318—21no—
254#4318—21no—
255#4318—21no—
256#4318—21no—
257C2×C11⋊C8—21no—
258C2×C11⋊C8—21no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8C22×C411yescharacteristic
264C2×C11⋊C8C22×C411yescharacteristic
265C2×C11⋊C8C22×C411yescharacteristic
266C2×C11⋊C8C22×C411yescharacteristic
267#4313—42no—
268#4313—42no—
269C8×D11—42no—
270C8×D11—42no—
271#3035—111no—
272C2×#444—111no—
273C2×#443—111no—
274#2932—111no—
275#2875D1111yescharacteristic, complemented
276#1980—111no—
277#1950—111no—
278#1929—111no—
279#1929—111no—
280#1876—111no—
281#1876—111no—
282#1806—111no—
283#1771—111no—
284#1765—111no—
285#1764—111no—
286C23×C11—21no—
287C23×C11C2×#4111yescharacteristic
288C22×D11—21no—
289C22×D11—21no—
290Q8×C11—21no—
291Q8×C11C4×D412yes—
292D4×C11—22no—
293D4×C11—22no—
294D4×C11—21no—
295D4×C11C4×D412yes—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—21no—
300C2×C4×C11—21no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—81no—
304C2×C4×C11—81no—
305C2×C4×C11C4×D411yescharacteristic
306C2×C4×C11C4×D411yescharacteristic
307C2×C4×C11C4×D411yescharacteristic
308C2×C4×C11C4×D411yescharacteristic
309C2×C4×C11C23×C411yescharacteristic
310C2×C4×C11C22×D411yescharacteristic
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C2×#4111yescharacteristic
313C2×C4×C11C2×#4111yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C22⋊D11—41no—
316C22⋊D11—41no—
317C22⋊D11—41no—
318C22⋊D11—41no—
319C2×Dic11—22no—
320C2×Dic11—21no—
321C2×Dic11—21no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327D44—21no—
328D44—21no—
329D44—21no—
330D44—21no—
331D44—81no—
332D44—81no—
333C4×D11—41no—
334C4×D11—41no—
335C4×D11—41no—
336C4×D11—41no—
337Dic22—21no—
338Dic22—21no—
339Dic22—21no—
340Dic22—21no—
341C8×C11—22no—
342C8×C11—21no—
343C8×C11—22no—
344C8×C11—21no—
345C8×C11#12112yes—
346C8×C11#12112yes—
347C11⋊C8—21no—
348C11⋊C8—21no—
349C11⋊C8—21no—
350C11⋊C8—21no—
351C11⋊C8—41no—
352C11⋊C8—41no—
353C2×#135—111no—
354C2×#135—111no—
355C2×#131—111no—
356C2×#131—111no—
357C2×#131C2×D1111yescharacteristic
358C2×#131C2×D1111yescharacteristic
359#532—111no—
360C4×#41C2×D1111yescharacteristic
361#464—111no—
362#464—111no—
363#463—111no—
364#463—111no—
365#462—111no—
366#461—111no—
367#460—111no—
368#459—111no—
369#444—224no—
370#443—224no—
371#435—221no—
372#435—221no—
373#435—221no—
374#435—221no—
375C2×#108—111no—
376C2×#108—111no—
377#423—111no—
378C2×C4⋊C8—111no—
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104—111no—
384C2×#104—111no—
385#416—111no—
386#416—111no—
387#408—111no—
388#408—111no—
389#405—21no—
390#405—21no—
391#405C2×D1111yescharacteristic
392#405C2×D1111yescharacteristic
393C4×M16—21no—
394C4×M16C2×D1111yescharacteristic
395C2×#97—21no—
396C2×#97—111no—
397C2×#97C2×D1111yescharacteristic
398C2×C4×C8—111no—
399C4×C4⋊C4—111no—
400#341—111no—
401#341—111no—
402#339—111no—
403#339—111no—
404#336—111no—
405#336—111no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—22no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11C2×C4×D411yescharacteristic
412C22×C11#52911yescharacteristic
413C22×C11#53211yescharacteristic
414C2×D11—41no—
415C2×D11—41no—
416C2×D11—41no—
417C2×D11—41no—
418C2×D11—41no—
419C2×D11—41no—
420C4×C11—21no—
421C4×C11—21no—
422C4×C11—21no—
423C4×C11—21no—
424C4×C11—22no—
425C4×C11—41no—
426C4×C11—41no—
427C4×C11C2×C4×D411yescharacteristic
428C4×C11C4×#4111yescharacteristic
429C4×C11C2×#12111yescharacteristic
430C4×C11#52511yescharacteristic
431Dic11—42no—
432Dic11—41no—
433Dic11—41no—
434Dic11—81no—
435C2×#41—111no—
436C2×#41—111no—
437C2×#41C22×D1111yescharacteristic
438#135—222no—
439#135—222no—
440#135—222no—
441#135—222no—
442C2×Q16—111no—
443C2×Q16—111no—
444C2×SD16—111no—
445C2×SD16—111no—
446C2×SD16—111no—
447C2×SD16—111no—
448C2×D8—111no—
449C2×D8—111no—
450#131—22no—
451#131—22no—
452#131—22no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—222no—
457#131D4414yescomplemented
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16C22×D1111yescharacteristic
465C2×M16C22×D1111yescharacteristic
466C22×C8—21no—
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8C22×D1111yescharacteristic
473C22×C8C22×D1111yescharacteristic
474C4⋊Q8—111no—
475#127—111no—
476#124—111no—
477#124—111no—
478#121—221no—
479#121—221no—
480C4×Q8C4×D1111yescharacteristic
481C4×Q8C4×D1111yescharacteristic
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—221no—
485C4×D4—221no—
486C4×D4C4×D1111yescharacteristic
487C4×D4C4×D1111yescharacteristic
488#117—21no—
489#117C22×D1111yescharacteristic
490C2×C4⋊C4—221no—
491C2×C42—21no—
492C2×C42—111no—
493C2×C42—111no—
494C2×C42C22×D1111yescharacteristic
495#108—222no—
496#108—222no—
497C4⋊C8—111no—
498C4⋊C8—111no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—221no—
502C4⋊C8—221no—
503#104—222no—
504#104—222no—
505#104—222no—
506#104—222no—
507#104—222no—
508#104—222no—
509#103—111no—
510#103—111no—
511#103—111no—
512#103—111no—
513#102—111no—
514#102—111no—
515#102—111no—
516#102—111no—
517C22⋊C8—221no—
518C22⋊C8—221no—
519C22⋊C8—221no—
520C22⋊C8—221no—
521#97—21no—
522#97—21no—
523#97—21no—
524#97—222no—
525#97C22⋊D1111yescharacteristic
526#97C22⋊D1111yescharacteristic
527#97C22⋊D1111yescharacteristic
528#97C22⋊D1111yescharacteristic
529C4×C8—21no—
530C4×C8—21no—
531C4×C8—21no—
532C4×C8—222no—
533#95—221no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11—42no—
537C2×C11C4×#12111yescharacteristic
538C2×C11#295611yescharacteristic
539C2×C11#295711yescharacteristic
540D11—81no—
541D11—81no—
542#41—21no—
543#41—21no—
544#41—221no—
545#41—221no—
546#41—221no—
547#41—221no—
548#41—221no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41C2×D4412yes—
553#41#433912yes—
554C2×Q8—111no—
555C2×Q8—111no—
556C2×Q8C2×C4×D1111yescharacteristic
557C2×D4—21no—
558C2×D4—111no—
559C2×D4—111no—
560C2×D4—221no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4—221no—
564C2×D4C2×C4×D1111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4#433911yescharacteristic
573C22×C4#433911yescharacteristic
574C22×C4C23×D1111yescharacteristic
575Q16—222no—
576Q16—222no—
577SD16—222no—
578SD16—222no—
579SD16—222no—
580SD16—222no—
581D8—222no—
582D8—222no—
583M16—24no—
584M16—21no—
585M16—21no—
586M16—24no—
587M16—221no—
588M16—221no—
589M16—221no—
590M16—221no—
591M16—442no—
592M16—442no—
593M16C2×D4412yes—
594M16#433912yes—
595C2×C8—24no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—24no—
601C2×C8—111no—
602C2×C8—111no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—221no—
606C2×C8—221no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—442no—
612C2×C8—442no—
613C2×C8C2×D4412yes—
614C2×C8#433912yes—
615C2×C8C2×C22⋊D1111yescharacteristic
616C2×C8C2×C22⋊D1111yescharacteristic
617C2×C8C2×C22⋊D1111yescharacteristic
618C2×C8C2×C22⋊D1111yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—221no—
622C4⋊C4—221no—
623C4⋊C4—442no—
624C4⋊C4C2×C4×D1111yescharacteristic
625C4⋊C4C2×C4×D1111yescharacteristic
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—221no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42—221no—
637C42—221no—
638C42—221no—
639C42—221no—
640C42C2×C4×D1111yescharacteristic
641C42C2×C4×D1111yescharacteristic
642C42C2×C22⋊D1111yescharacteristic
643C42C2×C22⋊D1111yescharacteristic
644C11#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—221no—
647C23—221no—
648C23C2×#433911yescharacteristic
649Q8—21no—
650Q8—221no—
651Q8—221no—
652Q8—221no—
653Q8—221no—
654Q8C4×D4412yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—221no—
659D4—221no—
660D4—221no—
661D4—221no—
662D4—441no—
663D4—441no—
664D4—441no—
665D4—441no—
666D4—881no—
667D4—881no—
668D4C4×D4412yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—222no—
679C2×C4—221no—
680C2×C4—221no—
681C2×C4—441no—
682C2×C4—441no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4C4×C22⋊D1111yescharacteristic
691C2×C4C4×C22⋊D1111yescharacteristic
692C2×C4C4×C22⋊D1111yescharacteristic
693C2×C4C4×C22⋊D1111yescharacteristic
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C22×D4411yescharacteristic
696C2×C4C2×#433911yescharacteristic
697C2×C4C2×#433911yescharacteristic
698C2×C4C2×#433911yescharacteristic
699C2×C4C22×C22⋊D1111yescharacteristic
700C8—22no—
701C8—21no—
702C8—22no—
703C8—21no—
704C8—221no—
705C8—221no—
706C8—221no—
707C8—221no—
708C8—441no—
709C8—441no—
710C8#6698312yes—
711C8#6698312yes—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—441no—
718C22—441no—
719C22—441no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22#1062300811yescharacteristic
724C22#1062301011yescharacteristic
725C22C2×C4×C22⋊D1111yescharacteristic
726C4—21no—
727C4—21no—
728C4—22no—
729C4—21no—
730C4—21no—
731C4—41no—
732C4—41no—
733C4—442no—
734C4—441no—
735C4—441no—
736C4—881no—
737C4C2×C4×D4411yescharacteristic
738C4C4×#433911yescharacteristic
739C4C2×#6698311yescharacteristic
740C4#1062332211yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—881no—
745C2—881no—
746C2C4×#6698311yescharacteristic
747C2#1307752311yescharacteristic
748C2#1307753111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2875C2
socleC22×C11C2×C4×D4
prime radical#13078071C2
cosocleC22×C4×C11C24
hypercenter#2875D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #2875

Complements

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

NH ≅ G/Ntype
2. C2×#10622758C2semidirect
3. C2×#10622757C2semidirect
4. #13077335C2semidirect
5. #13069535C2semidirect
6. #13069391C2semidirect
7. #13069264C2semidirect
8. #13069264C2semidirect
9. #13068943C2semidirect
10. #13068943C2semidirect
11. #13068636C2semidirect
12. #13068488C2semidirect
13. #13068462C2semidirect
14. #13068455C2semidirect
15. C11×#2875C2semidirect
46. #10622644C4semidirect
47. #10622641C4semidirect
48. #10622641C4semidirect
49. #10622640C4semidirect
50. #10622632C4semidirect
51. #10622629C4semidirect
52. #10622629C4semidirect
53. #10622628C4semidirect
75. C11×#131D4semidirect
275. #2875D11semidirect
457. #131D44semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780712
C2×#106227582
C2×#106227572
#130773352
#130695352
#130693912
#130692642
#130689432
#130686362
#130684882
#130684622
#130684552
C11×#28752
#2151911