Finite Group Databasebeta

← #14760473

Subgroups — #14760473

Order 2816.

1170 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622652C211yesmaximal, characteristic
2C2×#10622398C211yesmaximal, characteristic, complemented
3C2×M16×Dic11C211yesmaximal, characteristic, complemented
4#121×Dic11C211yesmaximal, characteristic, complemented
5#13071122C211yesmaximal, characteristic, complemented
6#13069479C211yesmaximal, characteristic, complemented
7#13069343C211yesmaximal, characteristic, complemented
8#13069300C211yesmaximal, characteristic, complemented
9#13069296C211yesmaximal, characteristic, complemented
10#13069054C211yesmaximal, characteristic, complemented
11#13068647C211yesmaximal, characteristic, complemented
12#13068512C211yesmaximal, characteristic, complemented
13#13068443C211yesmaximal, characteristic, complemented
14#13068440C211yesmaximal, characteristic, complemented
15C11×#1895C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×#121C2211yescharacteristic
18C2×D4×Dic11—21no—
19C2×D4×Dic11C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C22×C4×Dic11C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C2×#66946C2211yescharacteristic
25C2×(C22⋊D11)⋊C4—21no—
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C11×#380C2211yescharacteristic
29#10622834C2211yescharacteristic
30#10622833—21no—
31C2×#66896C2211yescharacteristic
32#10622825C2211yescharacteristic
33M16×Dic11—24no—
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66879C2211yescharacteristic
37C2×#66879C2211yescharacteristic
38C2×C8×Dic11C2211yescharacteristic
39C2×C8×Dic11C2211yescharacteristic
40#10622652C418yescomplemented
41#10622601C2211yescharacteristic
42#10622598C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44C4⋊C4×Dic11C2211yescharacteristic
45#10622586C2211yescharacteristic
46C2×#66873C2211yescharacteristic
47C2×#66872C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50#10622571—21no—
51#10622564—21no—
52C22⋊C4×Dic11—21no—
53#10622398—24no—
54#10622282—21no—
55#10622279—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C23×Dic11—21no—
67C23×Dic11D411yescharacteristic
68C23×Dic11D411yescharacteristic
69C22×D44C2311yescharacteristic
70C22×C4×D11—21no—
71C2×C11×M16—22no—
72C2×C11×M16—22no—
73C2×C11×M16—22no—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C11×#121—22no—
77C11×#121C2×C414yescomplemented
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87D4×Dic11—22no—
88D4×Dic11—22no—
89D4×Dic11—44no—
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323C2×C414yescomplemented
93#66983—22no—
94#66983C2×C414yescomplemented
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×Dic11⋊C4—21no—
104C2×C4×Dic11—22no—
105C2×C4×Dic11—22no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11D411yescharacteristic
109C2×C4×Dic11D411yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C2×C4×Dic11C2311yescharacteristic
112C2×#4318—22no—
113C2×#4318—22no—
114C2×#4318C2×C414yescomplemented
115C22×C11⋊C8C2311yescharacteristic
116C22×C11⋊C8C2311yescharacteristic
117#66946—22no—
118#66946—22no—
119(C22⋊D11)⋊C4—44no—
120C11×#102—22no—
121C11×#102—22no—
122C11×#95—21no—
123#66896C2×C414yescomplemented
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66885—22no—
130#66885—22no—
131#66879—22no—
132#66879D414yescomplemented
133C8×Dic11—22no—
134C8×Dic11—22no—
135#66873C2×C414yescomplemented
136#66872—22no—
137#66872C2×C414yescomplemented
138#66871—22no—
139#21538—111nomaximal, Sylow
140C24×C11—21no—
141C24×C11C2×D411yescharacteristic
142C23×D11—21no—
143C2×D4×C11—24no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—42no—
150C2×D4×C11—42no—
151C2×D4×C11C22×C412yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11#4112yes—
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—24no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—41no—
174C22×Dic11—41no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11C2×D411yescharacteristic
179C22×Dic11C2×D411yescharacteristic
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C2×D44—21no—
183C2×D44—21no—
184C2×D44—21no—
185C2×D44—21no—
186C2×D44—21no—
187C2×D44C22×C412yes—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C11×M16—28no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11C2×D412yes—
197C2×C8×C11#4112yes—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4C22×C412yes—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—42no—
206C22⋊Dic11—42no—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209C22⋊Dic11—42no—
210#4323—28no—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—42no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—42no—
221C4⋊Dic11C22×C412yes—
222Dic11⋊C4—42no—
223C4×Dic11—22no—
224C4×Dic11—22no—
225C4×Dic11—21no—
226C4×Dic11—21no—
227C4×Dic11—42no—
228C4×Dic11—42no—
229C4×Dic11C2×D412yes—
230C4×Dic11#4112yes—
231#4318—28no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8C22×C412yes—
235C2×C11⋊C8C22×C412yes—
236C2×C11⋊C8C2×D412yes—
237C2×C11⋊C8#4112yes—
238C2×#469—111no—
239C2×#442—111no—
240C2×C4×M16—111no—
241C4×#121—111no—
242C4×#121—111no—
243#1970—111no—
244#1941—111no—
245#1934—111no—
246#1934—111no—
247#1895—111no—
248#1895D1111yescharacteristic, complemented
249#1809—111no—
250#1776—111no—
251#1762—111no—
252#1762—111no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—22no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11C4×D412yes—
267C23×C11C22×D411yescharacteristic
268C22×D11—22no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—41no—
274C22×D11—41no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—48no—
278D4×C11—41no—
279D4×C11—41no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
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×C11C4×D412yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C22⋊D11—48no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—22no—
312C2×Dic11—44no—
313C2×Dic11—44no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—84no—
323C2×Dic11#12112yes—
324C2×Dic11#12112yes—
325C2×Dic11AGL(1,ℤ/8)12yes—
326C2×Dic11AGL(1,ℤ/8)12yes—
327D44—22no—
328D44—22no—
329D44—41no—
330D44—41no—
331C4×D11—84no—
332C8×C11—22no—
333C8×C11—22no—
334C11⋊C8—22no—
335C11⋊C8C4×D414yescomplemented
336C22×D8—111no—
337C22×M16—111no—
338C22×M16C2×D1111yescharacteristic
339C2×#121—111no—
340C2×#121C2×D1111yescharacteristic
341C2×C4×D4—111no—
342C2×C4×D4—111no—
343C2×C4×D4—221no—
344C2×C4×D4—221no—
345C22×C42—111no—
346#469—118no—
347#442—224no—
348C2×#107—111no—
349C2×#106—111no—
350C2×#106—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102C2×D1111yescharacteristic
356C2×#102C2×D1111yescharacteristic
357C4×M16—224no—
358C2×#97—111no—
359C2×#97—111no—
360C2×C4×C8—111no—
361C2×C4×C8—111no—
362#390—111no—
363#390—111no—
364#389—111no—
365#389—111no—
366#388—221no—
367#388—221no—
368#386—221no—
369#386—221no—
370#380—111no—
371#380C2×D1111yescharacteristic
372C4×C4⋊C4—111no—
373C4×C4⋊C4—111no—
374C4×C22⋊C4—221no—
375C4×C22⋊C4—221no—
376#340—111no—
377#340—111no—
378#340—111no—
379#340—111no—
380#340C2×D1111yescharacteristic
381#340C2×D1111yescharacteristic
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11—81no—
395C22×C11—81no—
396C22×C11C2×C4×D411yescharacteristic
397C22×C11C2×#12111yescharacteristic
398C22×C11#53211yescharacteristic
399C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
400C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
401C22×C11#57511yescharacteristic
402C22×C11#57511yescharacteristic
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11—81no—
410C4×C11—22no—
411C4×C11—42no—
412C4×C11—81no—
413C4×C11—81no—
414C4×C11C2×C4×D411yescharacteristic
415C4×C11C4×#4111yescharacteristic
416C4×C11#52511yescharacteristic
417C4×C11#52911yescharacteristic
418Dic11—22no—
419Dic11—22no—
420Dic11—22no—
421Dic11—22no—
422Dic11—42no—
423Dic11—81no—
424Dic11—81no—
425C22×D4—21no—
426C22×D4—111no—
427C22×D4—221no—
428C22×D4C22×D1111yescharacteristic
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4C22×D1111yescharacteristic
434C2×D8—114no—
435C2×D8—222no—
436C2×D8—222no—
437C2×M16—22no—
438C2×M16—22no—
439C2×M16—22no—
440C2×M16—114no—
441C2×M16—222no—
442C2×M16—222no—
443C22×C8—111no—
444C22×C8—111no—
445C22×C8C22×D1111yescharacteristic
446C22×C8C22×D1111yescharacteristic
447#121—22no—
448#121—114no—
449#121—222no—
450#121C4×D1114yescomplemented
451C4×D4—222no—
452C4×D4—222no—
453C4×D4—222no—
454C4×D4—222no—
455C4×D4—444no—
456C4×D4—444no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—111no—
478C2×C42—111no—
479C2×C42—222no—
480C2×C42—222no—
481C2×C42—221no—
482C2×C42—221no—
483#107—222no—
484#106—114no—
485#106—222no—
486#102—22no—
487#102—22no—
488#102—114no—
489#102—114no—
490#102—222no—
491#102—222no—
492#97—114no—
493#97—222no—
494C4×C8—222no—
495C4×C8—222no—
496#95—21no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502C2×C11—42no—
503C2×C11—82no—
504C2×C11C4×#12111yescharacteristic
505C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
506C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
507C2×C11#305511yescharacteristic
508C2×C11#305511yescharacteristic
509C2×C11#318311yescharacteristic
510C2×C11#318411yescharacteristic
511D11—82no—
512C24—21no—
513C24—221no—
514C24D4×D1111yescharacteristic
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—112no—
524C2×D4—224no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—221no—
530C2×D4—442no—
531C2×D4—442no—
532C2×D4C2×C4×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—442no—
552C22×C4—442no—
553C22×C4—442no—
554C22×C4—442no—
555C22×C4—441no—
556C22×C4—441no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4C2×C4×D1112yes—
560C22×C4D4×D1111yescharacteristic
561C22×C4#434112yes—
562C22×C4C23×D1111yescharacteristic
563D8—228no—
564M16—28no—
565M16—228no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—112no—
571C2×C8—112no—
572C2×C8—112no—
573C2×C8—112no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8D4×D1112yes—
577C2×C8#434112yes—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—112no—
584C4⋊C4—221no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—442no—
590C4⋊C4—442no—
591C4⋊C4C2×C4×D1112yes—
592C22⋊C4—24no—
593C22⋊C4—42no—
594C22⋊C4—224no—
595C22⋊C4—442no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—442no—
600C22⋊C4—442no—
601C22⋊C4—442no—
602C42—112no—
603C42—112no—
604C42—222no—
605C42—222no—
606C42—221no—
607C42—221no—
608C42—442no—
609C42—442no—
610C11#2153811yescharacteristic, complemented, Sylow
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—22no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—222no—
625C23—441no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23(C22⋊D11)⋊C412yes—
632C23C2×D4×D1111yescharacteristic
633D4—22no—
634D4—22no—
635D4—48no—
636D4—41no—
637D4—41no—
638D4—222no—
639D4—222no—
640D4—448no—
641D4—441no—
642D4—441no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—112no—
659C2×C4—112no—
660C2×C4—112no—
661C2×C4—112no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—221no—
669C2×C4—221no—
670C2×C4—222no—
671C2×C4—444no—
672C2×C4—444no—
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(C22⋊D11)⋊C412yes—
684C2×C4C22×C4×D1111yescharacteristic
685C2×C4C2×D4×D1111yescharacteristic
686C2×C4C2×#434111yescharacteristic
687C2×C4C2×#434111yescharacteristic
688C2×C4#41×D1111yescharacteristic
689C2×C4#41×D1111yescharacteristic
690C8—22no—
691C8—22no—
692C8—114no—
693C8—222no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—442no—
709C22—442no—
710C22—442no—
711C22—881no—
712C22—881no—
713C22—881no—
714C22—881no—
715C22C2×(C22⋊D11)⋊C411yescharacteristic
716C22#1062312711yescharacteristic
717C22D11×#12111yescharacteristic
718C22D11×AGL(1,ℤ/8)11yescharacteristic
719C22D11×AGL(1,ℤ/8)11yescharacteristic
720C22#1062330411yescharacteristic
721C22#1062330811yescharacteristic
722C4—22no—
723C4—42no—
724C4—81no—
725C4—81no—
726C4—222no—
727C4—222no—
728C4—222no—
729C4—222no—
730C4—442no—
731C4—881no—
732C4—881no—
733C4C4×#434111yescharacteristic
734C4C4×D4×D1111yescharacteristic
735C4#1062311711yescharacteristic
736C4#1062318011yescharacteristic
737C2—42no—
738C2—82no—
739C2—882no—
740C2#1307112611yescharacteristic
741C2#1307742011yescharacteristic
742C2#1307742911yescharacteristic
743C2#1307823011yescharacteristic
744C2#1307823411yescharacteristic
745C2#1307933811yescharacteristic
746C2#1307934911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1895C2
socleC23×C11C22×D4
prime radicalC2×#10622652C2
cosocleC22×C4×C11C24
hypercenter#1895D11
hypocenterC11#21538
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#10622398C2semidirect
3. C2×M16×Dic11C2semidirect
4. #121×Dic11C2semidirect
5. #13071122C2semidirect
6. #13069479C2semidirect
7. #13069343C2semidirect
8. #13069300C2semidirect
9. #13069296C2semidirect
10. #13069054C2semidirect
11. #13068647C2semidirect
12. #13068512C2semidirect
13. #13068443C2semidirect
14. #13068440C2semidirect
15. C11×#1895C2semidirect
40. #10622652C4semidirect
77. C11×#121C2×C4semidirect
92. C2×#4323C2×C4semidirect
94. #66983C2×C4semidirect
114. C2×#4318C2×C4semidirect
123. #66896C2×C4semidirect
132. #66879D4semidirect
135. #66873C2×C4semidirect
137. #66872C2×C4semidirect
248. #1895D11semidirect
335. C11⋊C8C4×D4semidirect
450. #121C4×D11semidirect
610. C11#21538semidirect

Maximal subgroups

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

subgroupindex
C2×#106226522
C2×#106223982
C2×M16×Dic112
#121×Dic112
#130711222
#130694792
#130693432
#130693002
#130692962
#130690542
#130686472
#130685122
#130684432
#130684402
C11×#18952
#2153811