Finite Group Databasebeta

← D11×#1826 #14753597

Subgroups — D11×#1826 #14753597

Order 2816.

1606 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#117C211yesmaximal, characteristic
2D11×#407C211yesmaximal, characteristic
3C4×C22⋊C4×D11C211yesmaximal, characteristic
4#13068716C211yesmaximal, characteristic, complemented
5#13068715C211yesmaximal, characteristic, complemented
6#13068714C214yesmaximal, complemented
7#13068713C211yesmaximal, characteristic, complemented
8D11×#339C214yesmaximal, complemented
9C11×#1826C211yesmaximal, characteristic, complemented
10C23×C4×D11C2211yescharacteristic
11C2×C11×#117C2211yescharacteristic
12C2×#66979C2211yescharacteristic
13C2×M16×D11C2212yes—
14D11×#117—21no—
15D11×#117—21no—
16D11×#117—21no—
17D11×#117—21no—
18D11×#117C412yescomplemented
19D11×#117C412yescomplemented
20D11×#117C2212yes—
21D11×#117C2212yes—
22C2×#66945C411yescharacteristic, complemented
23C2×#66945C411yescharacteristic, complemented
24C2×C4⋊C4×D11C411yescharacteristic, complemented
25C2×C4⋊C4×D11C411yescharacteristic, complemented
26C2×C22⋊C4×D11—21no—
27C2×C22⋊C4×D11—21no—
28C2×#66930—21no—
29C2×#66925—21no—
30C2×C42×D11—21no—
31C2×C42×D11C2212yes—
32C11×#407C2211yescharacteristic
33C4×C11×C22⋊C4C2211yescharacteristic
34C4×C22⋊Dic11C2211yescharacteristic
35#10622820C2211yescharacteristic
36#10622739C2212yes—
37C22⋊C4×Dic11—21no—
38C4×(C2×D11)⋊C4C2212yes—
39#10622339—21no—
40#10622339—21no—
41D11×C22⋊C8—21no—
42D11×C22⋊C8—21no—
43#10622279—21no—
44D11×#95—21no—
45C11×#339C2214yescomplemented
46#10622193C2214yescomplemented
47#10622170C2214yescomplemented
48#10622161C2214yescomplemented
49C24×D11D411yescharacteristic
50C23×C4×C11C2311yescharacteristic
51C23×Dic11D411yescharacteristic
52C22×C4×D11—28no—
53C22×C4×D11—21no—
54C22×C4×D11—21no—
55C22×C4×D11—22no—
56C22×C4×D11C2×C411yescharacteristic
57C22×C4×D11C2×C411yescharacteristic
58C22×C4×D11C2×C411yescharacteristic
59C22×C4×D11C2×C411yescharacteristic
60C22×C4×D11D411yescharacteristic
61C22×C4×D11D411yescharacteristic
62C22×C4×D11D411yescharacteristic
63C22×C4×D11D411yescharacteristic
64C22×C4×D11D411yescharacteristic
65C22×C4×D11D411yescharacteristic
66C22×C4×D11C2311yescharacteristic
67C22×C4×D11C2311yescharacteristic
68C2×C11×M16C2312yes—
69C11×#117—21no—
70C11×#117—21no—
71C11×#117C2×C412yescomplemented
72C11×#117C2312yes—
73C2×C11×C4⋊C4C2×C411yescharacteristic, complemented
74C2×C11×C4⋊C4C2×C411yescharacteristic, complemented
75C2×C11×C22⋊C4—21no—
76C2×C11×C22⋊C4—21no—
77C2×C42×C11—21no—
78C2×C42×C11C2312yes—
79C2×C22⋊Dic11—21no—
80C2×C22⋊Dic11—21no—
81C2×(C2×D11)⋊C4—21no—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—22no—
84#66979—21no—
85#66979—21no—
86#66979C2×C412yescomplemented
87#66979C2312yes—
88C2×C4⋊Dic11C2×C411yescharacteristic, complemented
89C2×C4⋊Dic11C2×C411yescharacteristic, complemented
90C2×Dic11⋊C4—21no—
91C2×Dic11⋊C4—21no—
92C2×C4×Dic11—21no—
93C2×C4×Dic11—21no—
94C2×C4×Dic11—21no—
95C2×C4×Dic11—22no—
96C2×C4×Dic11C2312yes—
97C2×#4318C2312yes—
98M16×D11—28no—
99C2×#4313—22no—
100C2×C8×D11—22no—
101#66945—21no—
102#66945—21no—
103#66945—21no—
104#66945—21no—
105#66945C2×C412yes—
106#66945C2×C412yes—
107#66945C2×C412yescomplemented
108#66945C2×C412yescomplemented
109C4⋊C4×D11—21no—
110C4⋊C4×D11—21no—
111C4⋊C4×D11—21no—
112C4⋊C4×D11—21no—
113C4⋊C4×D11C2×C412yes—
114C4⋊C4×D11C2×C412yes—
115C4⋊C4×D11C2×C412yescomplemented
116C4⋊C4×D11C2×C412yescomplemented
117C22⋊C4×D11—28no—
118C22⋊C4×D11—22no—
119C22⋊C4×D11—22no—
120C22⋊C4×D11—22no—
121C22⋊C4×D11—22no—
122#66930—22no—
123#66930—22no—
124#66930—22no—
125#66930—22no—
126#66925—22no—
127#66925—22no—
128#66925—22no—
129#66925—22no—
130C42×D11—22no—
131C42×D11—22no—
132C42×D11—22no—
133C42×D11—22no—
134C42×D11—28no—
135C11×C22⋊C8—21no—
136C11×C22⋊C8—21no—
137C11×#95—21no—
138C11⋊#95—21no—
139C11⋊#95—22no—
140C22⋊(C11⋊C8)—21no—
141C22⋊(C11⋊C8)—21no—
142(C2×D11)⋊C8—22no—
143(C2×D11)⋊C8—22no—
144C2×#1826—111nomaximal, Sylow
145C24×C11C2×D411yescharacteristic
146C23×D11—24no—
147C23×D11—24no—
148C23×D11—42no—
149C23×D11C22⋊C411yescharacteristic
150C23×D11C22⋊C411yescharacteristic
151C23×D11C22⋊C411yescharacteristic
152C23×D11C22⋊C411yescharacteristic
153C23×D11C2×D411yescharacteristic
154C23×D11C2×D411yescharacteristic
155C22×C4×C11—24no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—22no—
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C22×C411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2411yescharacteristic
165C22×Dic11—24no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—22no—
169C22×Dic11C22⋊C411yescharacteristic
170C22×Dic11C22⋊C411yescharacteristic
171C22×Dic11C22⋊C411yescharacteristic
172C22×Dic11C22⋊C411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C22×Dic11C2×D411yescharacteristic
175C2×C4×D11—24no—
176C2×C4×D11—24no—
177C2×C4×D11—24no—
178C2×C4×D11—24no—
179C2×C4×D11—24no—
180C2×C4×D11—24no—
181C2×C4×D11—24no—
182C2×C4×D11—24no—
183C2×C4×D11—24no—
184C2×C4×D11—28no—
185C2×C4×D11—22no—
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—22no—
189C2×C4×D11—24no—
190C2×C4×D11—24no—
191C2×C4×D11—44no—
192C2×C4×D11—44no—
193C2×C4×D11—44no—
194C2×C4×D11—44no—
195C2×C4×D11C22⋊C411yescharacteristic
196C2×C4×D11C22⋊C411yescharacteristic
197C2×C4×D11C22⋊C411yescharacteristic
198C2×C4×D11C22⋊C411yescharacteristic
199C2×C4×D11C22⋊C411yescharacteristic
200C2×C4×D11C22⋊C411yescharacteristic
201C2×C4×D11C22⋊C411yescharacteristic
202C2×C4×D11C22⋊C411yescharacteristic
203C2×C4×D11C22×C411yescharacteristic
204C2×C4×D11C22×C411yescharacteristic
205C2×C4×D11C22×C411yescharacteristic
206C2×C4×D11C22×C411yescharacteristic
207C2×C4×D11C2×D411yescharacteristic
208C2×C4×D11C2×D411yescharacteristic
209C2×C4×D11C2×D411yescharacteristic
210C2×C4×D11C2×D411yescharacteristic
211C2×C4×D11#4118yes—
212C11×M16—24no—
213C2×C8×C11—22no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4C22×C412yes—
217C11×C4⋊C4C22×C412yes—
218C11×C22⋊C4—24no—
219C11×C22⋊C4—22no—
220C11×C22⋊C4—22no—
221C42×C11—22no—
222C42×C11—22no—
223C42×C11—24no—
224C22⋊Dic11—24no—
225C22⋊Dic11—22no—
226C22⋊Dic11—22no—
227(C2×D11)⋊C4—28no—
228(C2×D11)⋊C4—22no—
229(C2×D11)⋊C4—22no—
230(C2×D11)⋊C4—22no—
231(C2×D11)⋊C4—22no—
232C4⋊Dic11—21no—
233C4⋊Dic11—21no—
234C4⋊Dic11C22×C412yes—
235C4⋊Dic11C22×C412yes—
236Dic11⋊C4—22no—
237Dic11⋊C4—22no—
238Dic11⋊C4—22no—
239Dic11⋊C4—22no—
240C4×Dic11—22no—
241C4×Dic11—22no—
242C4×Dic11—22no—
243C4×Dic11—22no—
244C4×Dic11—22no—
245C4×Dic11—22no—
246C4×Dic11—24no—
247C4×Dic11—44no—
248#4318—24no—
249C2×C11⋊C8—22no—
250#4313—44no—
251C8×D11—44no—
252C22×#117—111no—
253C2×#407—111no—
254C2×C4×C22⋊C4—111no—
255#1826—111no—
256#1826—111no—
257#1826—114no—
258#1826—111no—
259#1826D1111yescharacteristic, direct product factor
260C2×#339—114no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—41no—
264C23×C11C2×C22⋊C411yescharacteristic
265C23×C11C2×C22⋊C411yescharacteristic
266C23×C11C22×D411yescharacteristic
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—22no—
270C22×D11—22no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—22no—
276C22×D11—22no—
277C22×D11—22no—
278C22×D11—22no—
279C22×D11—22no—
280C22×D11—41no—
281C22×D11—41no—
282C22×D11—41no—
283C22×D11—416no—
284C22×D11#10414yes—
285C22×D11C2×C22⋊C411yescharacteristic
286C22×D11C2×C22⋊C411yescharacteristic
287C22×D11C2×C22⋊C411yescharacteristic
288C22×D11C2×C22⋊C411yescharacteristic
289C22×D11#12314yes—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11C2×C22⋊C411yescharacteristic
303C2×C4×C11C2×C22⋊C411yescharacteristic
304C2×C4×C11C23×C411yescharacteristic
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C2×#4114yes—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11C2×C22⋊C411yescharacteristic
320C2×Dic11C2×C22⋊C411yescharacteristic
321C2×Dic11C2×C22⋊C411yescharacteristic
322C2×Dic11C2×C22⋊C411yescharacteristic
323C2×Dic11#12314yes—
324C4×D11—22no—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—22no—
332C4×D11—22no—
333C4×D11—22no—
334C4×D11—22no—
335C4×D11—22no—
336C4×D11—416no—
337C4×D11—44no—
338C4×D11—44no—
339C4×D11—44no—
340C4×D11—44no—
341C4×D11#11714yes—
342C4×D11#11714yes—
343C4×D11#12314yes—
344C4×D11#12314yes—
345C8×C11—42no—
346C11⋊C8—42no—
347C24×C4—111no—
348C22×M16—112no—
349C2×#117—111no—
350C2×#117—112no—
351C2×#117—112no—
352C2×#117—112no—
353C2×#117—112no—
354C2×#117—111no—
355C2×#117—111no—
356C2×#117—221no—
357C2×#117—221no—
358C2×#117—221no—
359C2×#117—221no—
360C2×#117—221no—
361C2×#117—221no—
362C2×#117C2×D1111yescharacteristic
363C22×C4⋊C4—111no—
364C22×C4⋊C4—111no—
365C22×C22⋊C4—221no—
366C22×C22⋊C4—221no—
367C22×C42—112no—
368C22×C42—221no—
369#407—111no—
370#407—112no—
371#407—221no—
372#407—221no—
373#407C2×D1111yescharacteristic
374C2×C22⋊C8—221no—
375C2×C22⋊C8—221no—
376C4×C22⋊C4—111no—
377C4×C22⋊C4—112no—
378C4×C22⋊C4—221no—
379C4×C22⋊C4—221no—
380C4×C22⋊C4C2×D1111yescharacteristic
381C2×#95—221no—
382#339—114no—
383#339—114no—
384#339—114no—
385#339C2×D1114yescomplemented
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—21no—
389C22×C11—21no—
390C22×C11—21no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—44no—
394C22×C11C2×#10412yes—
395C22×C11C22×C22⋊C411yescharacteristic
396C22×C11C2×#12312yes—
397C2×D11—21no—
398C2×D11—21no—
399C2×D11—21no—
400C2×D11—21no—
401C2×D11—28no—
402C2×D11—28no—
403C2×D11—21no—
404C2×D11—21no—
405C2×D11—21no—
406C2×D11—44no—
407C2×D11—44no—
408C2×D11—44no—
409C2×D11—44no—
410C2×D11#38112yes—
411C2×D11#38112yes—
412C2×D11C2×#10412yes—
413C2×D11C2×#10412yes—
414C2×D11#42112yes—
415C4×C11—21no—
416C4×C11—21no—
417C4×C11—44no—
418C4×C11—42no—
419C4×C11—42no—
420C4×C11C2×#11712yes—
421C4×C11C2×#12312yes—
422Dic11—21no—
423Dic11—21no—
424Dic11—44no—
425Dic11—42no—
426Dic11—42no—
427Dic11#38112yes—
428Dic11#38112yes—
429C25—111no—
430C23×C4—111no—
431C23×C4—111no—
432C23×C4—111no—
433C23×C4—111no—
434C23×C4—111no—
435C23×C4—111no—
436C23×C4—111no—
437C23×C4—111no—
438C23×C4—111no—
439C23×C4—111no—
440C23×C4—111no—
441C23×C4—111no—
442C23×C4—111no—
443C23×C4—228no—
444C23×C4—221no—
445C23×C4—221no—
446C23×C4—222no—
447C23×C4C22×D1111yescharacteristic
448C2×M16—112no—
449C2×M16—222no—
450C2×M16—228no—
451C2×M16C22×D1112yes—
452C22×C8—222no—
453#117—21no—
454#117—21no—
455#117—112no—
456#117—112no—
457#117—112no—
458#117—112no—
459#117—112no—
460#117—112no—
461#117—222no—
462#117—222no—
463#117—222no—
464#117—222no—
465#117—222no—
466#117—222no—
467#117—222no—
468#117—222no—
469#117—221no—
470#117—221no—
471#117—221no—
472#117—221no—
473#117—221no—
474#117—221no—
475#117C4×D1112yescomplemented
476#117C22×D1112yes—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—112no—
481C2×C4⋊C4—112no—
482C2×C4⋊C4—112no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4C4×D1111yescharacteristic, complemented
490C2×C4⋊C4C4×D1111yescharacteristic, complemented
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—222no—
494C2×C22⋊C4—222no—
495C2×C22⋊C4—222no—
496C2×C22⋊C4—222no—
497C2×C22⋊C4—228no—
498C2×C22⋊C4—221no—
499C2×C22⋊C4—221no—
500C2×C22⋊C4—222no—
501C2×C22⋊C4—221no—
502C2×C22⋊C4—221no—
503C2×C42—21no—
504C2×C42—112no—
505C2×C42—222no—
506C2×C42—222no—
507C2×C42—222no—
508C2×C42—222no—
509C2×C42—228no—
510C2×C42—221no—
511C2×C42—221no—
512C2×C42—221no—
513C2×C42—222no—
514C2×C42C22×D1112yes—
515C22⋊C8—21no—
516C22⋊C8—21no—
517C22⋊C8—222no—
518C22⋊C8—222no—
519C22⋊C8—221no—
520C22⋊C8—221no—
521#95—21no—
522#95—222no—
523#95—221no—
524C2×C11—22no—
525C2×C11—22no—
526C2×C11—41no—
527C2×C11C2×#38111yescharacteristic
528C2×C11C22×#10411yescharacteristic
529C2×C11C2×#42111yescharacteristic
530D11—22no—
531D11—22no—
532D11—41no—
533D11#182614yesdirect product factor
534C24—111no—
535C24—111no—
536C24—111no—
537C24—111no—
538C24—111no—
539C24—111no—
540C24—224no—
541C24—224no—
542C24—442no—
543C24D4×D1111yescharacteristic
544C22×C4—24no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—111no—
553C22×C4—118no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—111no—
557C22×C4—111no—
558C22×C4—111no—
559C22×C4—111no—
560C22×C4—111no—
561C22×C4—111no—
562C22×C4—111no—
563C22×C4—111no—
564C22×C4—111no—
565C22×C4—111no—
566C22×C4—111no—
567C22×C4—111no—
568C22×C4—111no—
569C22×C4—111no—
570C22×C4—111no—
571C22×C4—224no—
572C22×C4—224no—
573C22×C4—224no—
574C22×C4—224no—
575C22×C4—224no—
576C22×C4—224no—
577C22×C4—224no—
578C22×C4—224no—
579C22×C4—224no—
580C22×C4—224no—
581C22×C4—222no—
582C22×C4—222no—
583C22×C4—222no—
584C22×C4—222no—
585C22×C4—228no—
586C22×C4—224no—
587C22×C4—224no—
588C22×C4—221no—
589C22×C4—221no—
590C22×C4—222no—
591C22×C4—444no—
592C22×C4—444no—
593C22×C4—444no—
594C22×C4—444no—
595C22×C4C2×C4×D1111yescharacteristic
596C22×C4C2×C4×D1111yescharacteristic
597C22×C4D4×D1111yescharacteristic
598C22×C4D4×D1111yescharacteristic
599C22×C4D4×D1111yescharacteristic
600C22×C4C23×D1111yescharacteristic
601M16—24no—
602M16—224no—
603M16—444no—
604C2×C8—22no—
605C2×C8—222no—
606C2×C8—444no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4—112no—
610C4⋊C4—112no—
611C4⋊C4—222no—
612C4⋊C4—222no—
613C4⋊C4—222no—
614C4⋊C4—222no—
615C4⋊C4—221no—
616C4⋊C4—221no—
617C4⋊C4C2×C4×D1112yes—
618C4⋊C4C2×C4×D1112yes—
619C22⋊C4—24no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—222no—
623C22⋊C4—222no—
624C22⋊C4—222no—
625C22⋊C4—222no—
626C22⋊C4—228no—
627C22⋊C4—224no—
628C22⋊C4—222no—
629C22⋊C4—222no—
630C42—22no—
631C42—22no—
632C42—24no—
633C42—222no—
634C42—222no—
635C42—222no—
636C42—222no—
637C42—222no—
638C42—222no—
639C42—224no—
640C42—444no—
641C11C2×#182611yescharacteristic, complemented, Sylow
642C23—22no—
643C23—22no—
644C23—41no—
645C23—111no—
646C23—111no—
647C23—111no—
648C23—114no—
649C23—114no—
650C23—111no—
651C23—222no—
652C23—222no—
653C23—222no—
654C23—222no—
655C23—222no—
656C23—222no—
657C23—222no—
658C23—222no—
659C23—222no—
660C23—222no—
661C23—222no—
662C23—222no—
663C23—222no—
664C23—441no—
665C23—441no—
666C23—441no—
667C23—4416no—
668C23C22⋊C4×D1111yescharacteristic
669C23C22⋊C4×D1111yescharacteristic
670C23C2×D4×D1111yescharacteristic
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—111no—
684C2×C4—111no—
685C2×C4—114no—
686C2×C4—114no—
687C2×C4—114no—
688C2×C4—114no—
689C2×C4—114no—
690C2×C4—111no—
691C2×C4—111no—
692C2×C4—222no—
693C2×C4—222no—
694C2×C4—222no—
695C2×C4—222no—
696C2×C4—222no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—222no—
700C2×C4—222no—
701C2×C4—222no—
702C2×C4—222no—
703C2×C4—222no—
704C2×C4—222no—
705C2×C4—222no—
706C2×C4—222no—
707C2×C4—222no—
708C2×C4—222no—
709C2×C4—224no—
710C2×C4—222no—
711C2×C4—222no—
712C2×C4—444no—
713C2×C4—444no—
714C2×C4—444no—
715C2×C4—4416no—
716C2×C4—444no—
717C2×C4—442no—
718C2×C4—442no—
719C2×C4—442no—
720C2×C4—442no—
721C2×C4C22⋊C4×D1111yescharacteristic
722C2×C4C22⋊C4×D1111yescharacteristic
723C2×C4C22×C4×D1111yescharacteristic
724C2×C4C2×D4×D1111yescharacteristic
725C2×C4#41×D1114yes—
726C8—42no—
727C8—442no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—44no—
736C22—112no—
737C22—112no—
738C22—112no—
739C22—112no—
740C22—112no—
741C22—228no—
742C22—228no—
743C22—221no—
744C22—221no—
745C22—221no—
746C22—221no—
747C22—221no—
748C22—221no—
749C22—221no—
750C22—444no—
751C22—444no—
752C22—444no—
753C22—444no—
754C22D11×#10412yes—
755C22C2×C22⋊C4×D1111yescharacteristic
756C22D11×#12312yes—
757C4—21no—
758C4—21no—
759C4—44no—
760C4—42no—
761C4—42no—
762C4—112no—
763C4—112no—
764C4—221no—
765C4—221no—
766C4—444no—
767C4—442no—
768C4—442no—
769C4D11×#11712yes—
770C4D11×#12312yes—
771C2—22no—
772C2—22no—
773C2—41no—
774C2—114no—
775C2—222no—
776C2—222no—
777C2—441no—
778C2D11×#38111yescharacteristic
779C2C2×D11×#10411yescharacteristic
780C2D11×#42111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1826C2
socleC22×C11C22×C22⋊C4
prime radicalC24×D11D4
cosocleC22×C4×C11C24
hypercenter#1826D11
hypocenterC11C2×#1826
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1826

Complements

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

NH ≅ G/Ntype
4. #13068716C2semidirect
5. #13068715C2semidirect
6. #13068714C2semidirect
7. #13068713C2semidirect
8. D11×#339C2semidirect
9. C11×#1826C2semidirect
18. D11×#117C4semidirect
19. D11×#117C4semidirect
22. C2×#66945C4semidirect
23. C2×#66945C4semidirect
24. C2×C4⋊C4×D11C4semidirect
25. C2×C4⋊C4×D11C4semidirect
45. C11×#339C22semidirect
46. #10622193C22semidirect
47. #10622170C22semidirect
48. #10622161C22semidirect
71. C11×#117C2×C4semidirect
73. C2×C11×C4⋊C4C2×C4semidirect
74. C2×C11×C4⋊C4C2×C4semidirect
86. #66979C2×C4semidirect
88. C2×C4⋊Dic11C2×C4semidirect
89. C2×C4⋊Dic11C2×C4semidirect
107. #66945C2×C4semidirect
108. #66945C2×C4semidirect
115. C4⋊C4×D11C2×C4semidirect
116. C4⋊C4×D11C2×C4semidirect
259. #1826D11direct (N × H)
385. #339C2×D11semidirect
475. #117C4×D11semidirect
489. C2×C4⋊C4C4×D11semidirect
490. C2×C4⋊C4C4×D11semidirect
533. D11#1826direct (N × H)
641. C11C2×#1826semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1172
D11×#4072
C4×C22⋊C4×D112
#130687162
#130687152
#130687142
#130687132
D11×#3392
C11×#18262
C2×#182611