Finite Group Databasebeta

← #14770957

Subgroups — #14770957

Order 2816.

1190 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×D11×#102C211yesmaximal, characteristic
2#13071492C211yesmaximal, characteristic, complemented
3#13071437C211yesmaximal, characteristic
4#13069301C211yesmaximal, characteristic, complemented
5#13069246C211yesmaximal, characteristic, complemented
6#13069240C211yesmaximal, characteristic, complemented
7#13068878C211yesmaximal, characteristic, complemented
8#13068876C211yesmaximal, characteristic, complemented
9#13068705C211yesmaximal, characteristic, complemented
10#13068640C211yesmaximal, characteristic, complemented
11#13068545C211yesmaximal, characteristic
12C4×#66885C211yesmaximal, characteristic, complemented
13#13068430C211yesmaximal, characteristic, complemented
14C8×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
15C11×#1934C211yesmaximal, characteristic, complemented
16C22×D4×D11C2211yescharacteristic
17C22×C8×D11C2211yescharacteristic
18C2×#66946C2211yescharacteristic
19C2×C4⋊C4×D11C2211yescharacteristic
20C2×C22⋊C4×D11—21no—
21C2×C4×D44C2211yescharacteristic
22C2×C11×#102C2211yescharacteristic
23C2×C11×#102C2211yescharacteristic
24C2×C4×C8×C11C2211yescharacteristic, complemented
25C11×#390C2211yescharacteristic
26C11×#389C2211yescharacteristic, complemented
27#10622834C2211yescharacteristic
28C2×#66896C2211yescharacteristic
29C2×#66896C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×(C2×D11)⋊C8C2211yescharacteristic
33C2×C8×Dic11C2211yescharacteristic, complemented
34#10622600—21no—
35#10622600C2211yescharacteristic
36#10622600C2211yescharacteristic
37#10622598C2211yescharacteristic, complemented
38#10622591—21no—
39C4⋊C4×Dic11C2211yescharacteristic, complemented
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic, complemented
43C2×#66872C2211yescharacteristic, complemented
44#10622569—21no—
45#10622569—21no—
46#10622568—21no—
47C4×(C2×D11)⋊C4C2211yescharacteristic
48C4×C4⋊Dic11C2211yescharacteristic, complemented
49D11×#102C418yescomplemented
50#10622279—21no—
51#10622268—21no—
52C11×#340C2211yescharacteristic, complemented
53C11×#340C2211yescharacteristic, complemented
54#10622189C2211yescharacteristic, complemented
55#10622189C2211yescharacteristic, complemented
56#10622188C2211yescharacteristic, complemented
57#10622167C2211yescharacteristic, complemented
58#10622167C2211yescharacteristic, complemented
59#10622162C2211yescharacteristic, complemented
60C24×D11—21no—
61C22×D4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C2×D4×D11—22no—
64C2×D4×D11—22no—
65C2×D4×D11—22no—
66C2×D4×D11—41no—
67C2×D4×D11—41no—
68C2×D4×D11C2×C414yes—
69C22×D44C2311yescharacteristic
70C22×C4×D11—21no—
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C42×C11C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4D411yescharacteristic
90C2×(C2×D11)⋊C4D411yescharacteristic
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×Dic11⋊C4—21no—
96C2×C4×Dic11—21no—
97C2×C4×Dic11—21no—
98C2×C4×Dic11C2311yescharacteristic
99C22×C11⋊C8C2311yescharacteristic
100C22×C11⋊C8C2311yescharacteristic
101C2×C8×D11—41no—
102C2×C8×D11—41no—
103C2×C8×D11C2×C414yescomplemented
104#66946—22no—
105#66946—41no—
106C4⋊C4×D11—22no—
107C4⋊C4×D11C2×C414yescomplemented
108C22⋊C4×D11—44no—
109C4×D44—22no—
110C4×D44—41no—
111C11×#102—41no—
112C11×#102C2×C414yescomplemented
113C4×C8×C11—41no—
114C11×#95—21no—
115#66896—41no—
116#66896C2×C414yescomplemented
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95D411yescharacteristic
123C11⋊#95D411yescharacteristic
124#66885—22no—
125#66885C2×C414yes—
126(C2×D11)⋊C8—22no—
127C8×Dic11—41no—
128#66873—22no—
129#66873C2×C414yes—
130#66872—41no—
131#66872—41no—
132#22574—111nomaximal, Sylow
133C24×C11—21no—
134C23×D11—21no—
135C23×D11—24no—
136C23×D11—42no—
137C23×D11—42no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—81no—
141C23×D11—81no—
142C23×D11C2×D411yescharacteristic
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11C22×C412yes—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2411yescharacteristic
155C2×C22⋊D11—24no—
156C2×C22⋊D11—42no—
157C2×C22⋊D11—42no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164D4×D11—28no—
165D4×D11—44no—
166D4×D11—44no—
167D4×D11—44no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44C22×C412yes—
172C2×D44#4112yes—
173C2×D44#4112yes—
174C2×C4×D11—24no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—42no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—81no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C2×C4×D11—81no—
187C2×C4×D11C22×C412yes—
188C2×C4×D11#4112yes—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11C22×C412yes—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—81no—
201C11×C4⋊C4C22×C412yes—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—81no—
204C42×C11—21no—
205C42×C11—21no—
206C22⋊Dic11—42no—
207C22⋊Dic11—81no—
208(C2×D11)⋊C4—22no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4SD1614yes—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—81no—
220C4⋊Dic11C22×C412yes—
221Dic11⋊C4—24no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11—81no—
225C4×Dic11—81no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8C22×C412yes—
232C8×D11—44no—
233C22×#102—111no—
234#2345—111no—
235D4×C22⋊C4—111no—
236#1934—111no—
237#1934D1111yescharacteristic, complemented
238#1926—111no—
239#1926—111no—
240#1864—111no—
241#1864—111no—
242#1824—111no—
243#1807—111no—
244#1786—111no—
245C4×#102—111no—
246C4×#102—111no—
247C8×C22⋊C4—111no—
248C23×C11—22no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C22×D411yescharacteristic
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—48no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—48no—
269C22×D11—84no—
270C22×D11—84no—
271C22×D11—84no—
272C22×D11—84no—
273C22×D11—84no—
274C22×D11C4×D412yes—
275C22×D11C2×SD1612yes—
276C22×D11#13512yes—
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—41no—
280D4×C11—41no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11C2×SD1612yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C22⋊D11—48no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—22no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11C4×D412yes—
320C2×Dic11C2×SD1612yes—
321D44—22no—
322D44—22no—
323D44—22no—
324D44#11714yes—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—84no—
330C4×D11—84no—
331C4×D11—84no—
332C8×C11—22no—
333C8×C11—41no—
334C11⋊C8—22no—
335C11⋊C8—41no—
336C23×D4—111no—
337C23×C8—111no—
338C2×C4×D4—111no—
339C2×C4×D4—111no—
340C22×C4⋊C4—111no—
341C22×C22⋊C4—221no—
342C2×#106—111no—
343C2×#106—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—118no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102C2×D1111yescharacteristic
352C2×#102C2×D1111yescharacteristic
353C2×C22⋊C8—111no—
354C2×C4×C8—111no—
355C2×C4×C8C2×D1111yescharacteristic, complemented
356#390—111no—
357#390C2×D1111yescharacteristic
358#389—111no—
359#389C2×D1111yescharacteristic, complemented
360#387—221no—
361#387—221no—
362#386—221no—
363#386—221no—
364#380—111no—
365#380—111no—
366#380—221no—
367#379—221no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—111no—
370C4×C22⋊C4—111no—
371C4×C22⋊C4—221no—
372#340—111no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340C2×D1111yescharacteristic, complemented
377#340C2×D1111yescharacteristic, complemented
378#336—111no—
379#336—111no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11C2×C4×D411yescharacteristic
388C22×C11#54611yescharacteristic
389C22×C11#54611yescharacteristic
390C22×C11C22×SD1611yescharacteristic
391C22×C11C2×#13511yescharacteristic
392C22×C11#57611yescharacteristic
393C22×C11#57611yescharacteristic
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—24no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—42no—
407C2×D11—816no—
408C2×D11C4×SD1614yes—
409C4×C11—22no—
410C4×C11—42no—
411C4×C11—41no—
412C4×C11—81no—
413C4×C11—81no—
414C4×C11C2×#11711yescharacteristic
415C4×C11#51811yescharacteristic
416C4×C11#55111yescharacteristic
417C4×C11#55111yescharacteristic
418Dic11—22no—
419Dic11—22no—
420Dic11—42no—
421Dic11—41no—
422Dic11—81no—
423Dic11—81no—
424C25—221no—
425C22×D4—114no—
426C22×D4—111no—
427C22×D4—222no—
428C22×D4—221no—
429C22×D4—222no—
430C22×D4—222no—
431C22×D4—441no—
432C22×D4—441no—
433C22×D4C22×D1111yescharacteristic
434C23×C4—111no—
435C23×C4—221no—
436C23×C4—221no—
437C23×C4—221no—
438C22×C8—111no—
439C22×C8—114no—
440C22×C8—111no—
441C22×C8—441no—
442C22×C8—441no—
443C22×C8C22×D1111yescharacteristic
444C22×C8C22×D1111yescharacteristic
445C4×D4—222no—
446C4×D4—222no—
447C4×D4—441no—
448C4×D4—441no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—114no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—222no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—111no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—444no—
471C2×C42—111no—
472C2×C42—221no—
473C2×C42—221no—
474C2×C42C22×D1111yescharacteristic
475#106—441no—
476#106—441no—
477#102—41no—
478#102—114no—
479#102—114no—
480#102—114no—
481#102—222no—
482#102—222no—
483#102—441no—
484#102C4×D1114yescomplemented
485C22⋊C8—222no—
486C4×C8—41no—
487C4×C8—441no—
488#95—21no—
489#95—111no—
490#95—111no—
491#95—221no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496C2×C11—82no—
497C2×C11#234211yescharacteristic
498C2×C11C2×C4×SD1611yescharacteristic
499C2×C11#294811yescharacteristic
500C2×C11#329511yescharacteristic
501C2×C11#329511yescharacteristic
502C2×C11#329711yescharacteristic
503C2×C11#329711yescharacteristic
504D11—24no—
505D11—44no—
506C24—21no—
507C24—111no—
508C24—224no—
509C24—221no—
510C24—442no—
511C24—442no—
512C24—442no—
513C24—442no—
514C24—881no—
515C24—881no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—112no—
522C2×D4—112no—
523C2×D4—112no—
524C2×D4—224no—
525C2×D4—228no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4—442no—
533C2×D4—442no—
534C2×D4C2×C4×D1112yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—112no—
541C22×C4—112no—
542C22×C4—111no—
543C22×C4—224no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—442no—
552C22×C4—442no—
553C22×C4—442no—
554C22×C4—442no—
555C22×C4—881no—
556C22×C4—881no—
557C22×C4—881no—
558C22×C4—881no—
559C22×C4D4×D1111yescharacteristic
560C22×C4D4×D1111yescharacteristic
561C22×C4C23×D1111yescharacteristic
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—112no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—444no—
574C2×C8C2×C4×D1112yes—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—81no—
581C4⋊C4—112no—
582C4⋊C4—224no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—881no—
589C4⋊C4C2×C4×D1112yes—
590C22⋊C4—42no—
591C22⋊C4—81no—
592C22⋊C4—114no—
593C22⋊C4—222no—
594C22⋊C4—442no—
595C22⋊C4—442no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—881no—
600C42—21no—
601C42—21no—
602C42—221no—
603C42—221no—
604C42—881no—
605C42—881no—
606C11#2257411yescharacteristic, complemented, Sylow
607C23—22no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—112no—
615C23—112no—
616C23—112no—
617C23—221no—
618C23—221no—
619C23—221no—
620C23—221no—
621C23—222no—
622C23—222no—
623C23—222no—
624C23—448no—
625C23—448no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—884no—
631C23—884no—
632C23—884no—
633C23—884no—
634C23—884no—
635C23C2×D4×D1111yescharacteristic
636D4—22no—
637D4—22no—
638D4—41no—
639D4—41no—
640D4—114no—
641D4—222no—
642D4—222no—
643D4—222no—
644D4—448no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—112no—
660C2×C4—112no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—222no—
672C2×C4—221no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—884no—
682C2×C4—884no—
683C2×C4—884no—
684C2×C4SD16×D1112yes—
685C2×C4C22×C4×D1111yescharacteristic
686C2×C4#6703711yescharacteristic
687C2×C4#41×D1111yescharacteristic
688C2×C4#41×D1111yescharacteristic
689C2×C4#41×D1111yescharacteristic
690C2×C4#6704211yescharacteristic
691C8—22no—
692C8—41no—
693C8—222no—
694C8—441no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—114no—
703C22—222no—
704C22—222no—
705C22—222no—
706C22—222no—
707C22—222no—
708C22—222no—
709C22—224no—
710C22—442no—
711C22—442no—
712C22—442no—
713C22—442no—
714C22—442no—
715C22—442no—
716C22—8816no—
717C22C4×D4×D1111yescharacteristic
718C22#1062314111yescharacteristic
719C22#1062320711yescharacteristic
720C22#1062328811yescharacteristic
721C22C2×SD16×D1111yescharacteristic
722C22D11×#13511yescharacteristic
723C22#1062330011yescharacteristic
724C4—22no—
725C4—41no—
726C4—42no—
727C4—81no—
728C4—81no—
729C4—222no—
730C4—222no—
731C4—441no—
732C4—442no—
733C4—881no—
734C4—881no—
735C4D11×#11711yescharacteristic
736C4#1062307611yescharacteristic
737C4#1062319011yescharacteristic
738C4#1062323611yescharacteristic
739C2—82no—
740C2—224no—
741C2—444no—
742C2#1307146411yescharacteristic
743C2C4×SD16×D1111yescharacteristic
744C2#1307746311yescharacteristic
745C2#1308043511yescharacteristic
746C2#1308043911yescharacteristic
747C2#1308046111yescharacteristic
748C2#1308046511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1934C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
cosocleC22×C4×C11C24
hypercenter#1934D11
hypocenterC11#22574
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. #13071492C2semidirect
4. #13069301C2semidirect
5. #13069246C2semidirect
6. #13069240C2semidirect
7. #13068878C2semidirect
8. #13068876C2semidirect
9. #13068705C2semidirect
10. #13068640C2semidirect
12. C4×#66885C2semidirect
13. #13068430C2semidirect
14. C8×(C2×D11)⋊C4C2semidirect
15. C11×#1934C2semidirect
24. C2×C4×C8×C11C22semidirect
26. C11×#389C22semidirect
33. C2×C8×Dic11C22semidirect
37. #10622598C22semidirect
39. C4⋊C4×Dic11C22semidirect
42. C2×#66872C22semidirect
43. C2×#66872C22semidirect
48. C4×C4⋊Dic11C22semidirect
49. D11×#102C4semidirect
52. C11×#340C22semidirect
53. C11×#340C22semidirect
54. #10622189C22semidirect
55. #10622189C22semidirect
56. #10622188C22semidirect
57. #10622167C22semidirect
58. #10622167C22semidirect
59. #10622162C22semidirect
103. C2×C8×D11C2×C4semidirect
107. C4⋊C4×D11C2×C4semidirect
112. C11×#102C2×C4semidirect
116. #66896C2×C4semidirect
237. #1934D11semidirect
355. C2×C4×C8C2×D11semidirect
359. #389C2×D11semidirect
376. #340C2×D11semidirect
377. #340C2×D11semidirect
484. #102C4×D11semidirect
606. C11#22574semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1022
#130714922
#130714372
#130693012
#130692462
#130692402
#130688782
#130688762
#130687052
#130686402
#130685452
C4×#668852
#130684302
C8×(C2×D11)⋊C42
C11×#19342
#2257411