Finite Group Databasebeta

← #14764419

Subgroups — #14764419

Order 2816.

930 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
2#13069224C211yesmaximal, characteristic, complemented
3#13069173C211yesmaximal, characteristic, complemented
4#13069171C211yesmaximal, characteristic, complemented
5#13068905C211yesmaximal, characteristic
6#13068905C211yesmaximal, characteristic
7#13068795C211yesmaximal, characteristic, complemented
8#13068792C211yesmaximal, characteristic, complemented
9#13068758C211yesmaximal, characteristic, complemented
10#13068732C211yesmaximal, characteristic, complemented
11#13068682C211yesmaximal, characteristic, complemented
12#13068594C211yesmaximal, characteristic, complemented
13C4×(C2×D11)⋊C8C211yesmaximal, characteristic, complemented
14D11×#336C211yesmaximal, characteristic, complemented
15C11×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D11C2211yescharacteristic
17C22×C4×Dic11C2211yescharacteristic
18C22×C8×D11C2211yescharacteristic
19C22×C8×D11C2211yescharacteristic
20C2×(C22⋊D11)⋊C4C411yescharacteristic
21C2×(C22⋊D11)⋊C4C411yescharacteristic
22C2×C42×D11C2211yescharacteristic
23C2×C11×C4⋊C8C2211yescharacteristic
24C2×C11×C22⋊C8C2211yescharacteristic
25C2×C11×C22⋊C8C2211yescharacteristic
26C2×C4×C8×C11C2211yescharacteristic
27C4×C11×C22⋊C4C2211yescharacteristic
28C2×C22⋊(C11⋊C8)C2211yescharacteristic
29C2×C22⋊(C11⋊C8)C2211yescharacteristic
30C2×(C2×D11)⋊C8C2211yescharacteristic
31C2×(C2×D11)⋊C8C2211yescharacteristic
32C2×Dic11⋊C8C2211yescharacteristic
33C2×Dic11⋊C8C2211yescharacteristic
34C22⋊C4×Dic11C411yescharacteristic
35C22⋊C4×Dic11C411yescharacteristic
36C4×(C2×D11)⋊C4C2211yescharacteristic
37C4×Dic11⋊C4C2211yescharacteristic
38C42×Dic11C2211yescharacteristic
39C2×C4⋊(C11⋊C8)C2211yescharacteristic
40C2×C4×C11⋊C8C2211yescharacteristic
41#10622279C411yescharacteristic
42#10622279C411yescharacteristic
43#10622262C411yescharacteristic
44#10622262C411yescharacteristic
45C11×#336C2211yescharacteristic
46C11×#336C2211yescharacteristic
47#10622188C2211yescharacteristic
48#10622188C2211yescharacteristic
49#10622188C2211yescharacteristic
50#10622188C2211yescharacteristic
51#10622188C2211yescharacteristic
52#10622188C2211yescharacteristic
53#10622188C2211yescharacteristic
54#10622188C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C22×C22⋊D11C2×C411yescharacteristic
61C23×Dic11C2×C411yescharacteristic
62C23×Dic11C2×C411yescharacteristic
63C22×C4×D11C2×C411yescharacteristic
64C22×C4×D11C2×C411yescharacteristic
65C22×C4×D11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C2×C11×C22⋊C4C2×C411yescharacteristic
71C2×C11×C22⋊C4C2×C411yescharacteristic
72C2×C42×C11C2311yescharacteristic
73C2×C42×C11C2311yescharacteristic
74C2×C22⋊Dic11C2×C411yescharacteristic
75C4×C22⋊D11—22no—
76C4×C22⋊D11—22no—
77C2×(C2×D11)⋊C4C2×C411yescharacteristic
78C2×(C2×D11)⋊C4C2×C411yescharacteristic
79C2×(C2×D11)⋊C4C2×C411yescharacteristic
80C2×Dic11⋊C4C2×C411yescharacteristic
81C2×Dic11⋊C4C2×C411yescharacteristic
82C2×Dic11⋊C4C2×C411yescharacteristic
83C2×C4×Dic11—41no—
84C2×C4×Dic11—41no—
85C2×C4×Dic11C2×C411yescharacteristic
86C2×C4×Dic11C2×C411yescharacteristic
87C2×C4×Dic11C2×C411yescharacteristic
88C2×C4×Dic11C2×C411yescharacteristic
89C2×C4×Dic11C2×C411yescharacteristic
90C2×C4×Dic11C2×C411yescharacteristic
91C2×C4×Dic11C2×C411yescharacteristic
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11C2311yescharacteristic
94C2×C4×Dic11C2311yescharacteristic
95C2×C4×Dic11C2311yescharacteristic
96C22×C11⋊C8C2311yescharacteristic
97C22×C11⋊C8C2311yescharacteristic
98C22×C11⋊C8C2311yescharacteristic
99C22×C11⋊C8C2311yescharacteristic
100C2×C8×D11—22no—
101C2×C8×D11—22no—
102C2×C8×D11—41no—
103C2×C8×D11—41no—
104C2×C8×D11—41no—
105C2×C8×D11—41no—
106(C22⋊D11)⋊C4—24no—
107(C22⋊D11)⋊C4C818yescomplemented
108C42×D11—41no—
109C42×D11—41no—
110C11×C4⋊C8—41no—
111C11×C22⋊C8—41no—
112C11×C22⋊C8—41no—
113C4×C8×C11—41no—
114C11×#95C2×C411yescharacteristic
115C11×#95C2×C411yescharacteristic
116C11⋊#95C2×C411yescharacteristic
117C11⋊#95C2×C411yescharacteristic
118C11⋊#95C2×C411yescharacteristic
119C11⋊#95C2×C411yescharacteristic
120C22⋊(C11⋊C8)—41no—
121C22⋊(C11⋊C8)—41no—
122(C2×D11)⋊C8—22no—
123(C2×D11)⋊C8—22no—
124Dic11⋊C8—41no—
125Dic11⋊C8—41no—
126C4⋊(C11⋊C8)—41no—
127C4×C11⋊C8—41no—
128#21996—111nomaximal, Sylow
129C24×C11C22×C411yescharacteristic
130C23×D11C22×C411yescharacteristic
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11C22×C411yescharacteristic
138C22×C4×C11C22×C411yescharacteristic
139C22×C4×C11C22×C411yescharacteristic
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C2411yescharacteristic
143C2×C22⋊D11—22no—
144C2×C22⋊D11—22no—
145C2×C22⋊D11C2×C814yes—
146C22×Dic11—22no—
147C22×Dic11—41no—
148C22×Dic11—41no—
149C22×Dic11—41no—
150C22×Dic11—41no—
151C22×Dic11C2×C814yescomplemented
152C22×Dic11C22×C411yescharacteristic
153C22×Dic11C22×C411yescharacteristic
154C22×Dic11C22×C411yescharacteristic
155C22×Dic11C22×C411yescharacteristic
156C22×Dic11C22×C411yescharacteristic
157C22×Dic11C22×C411yescharacteristic
158C22×Dic11C22×C411yescharacteristic
159C2×C4×D11—21no—
160C2×C4×D11—21no—
161C2×C4×D11—21no—
162C2×C4×D11—21no—
163C2×C4×D11—41no—
164C2×C4×D11—41no—
165C2×C4×D11—41no—
166C2×C4×D11—41no—
167C2×C4×D11C2×C814yes—
168C2×C4×D11M1614yes—
169C2×C4×D11#4112yes—
170C2×C4×D11#4112yes—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C11×C22⋊C4—22no—
184C11×C22⋊C4C2×C814yescomplemented
185C42×C11—21no—
186C42×C11—21no—
187C42×C11—21no—
188C42×C11—21no—
189C22⋊Dic11—22no—
190(C2×D11)⋊C4—22no—
191(C2×D11)⋊C4—22no—
192(C2×D11)⋊C4C2×C814yes—
193Dic11⋊C4—22no—
194Dic11⋊C4—22no—
195Dic11⋊C4C2×C814yescomplemented
196C4×Dic11—22no—
197C4×Dic11—21no—
198C4×Dic11—21no—
199C4×Dic11—21no—
200C4×Dic11—21no—
201C4×Dic11—21no—
202C4×Dic11—21no—
203C4×Dic11—41no—
204C4×Dic11—41no—
205C4×Dic11—41no—
206C4×Dic11—41no—
207C4×Dic11—41no—
208C4×Dic11—41no—
209C4×Dic11C2×C814yescomplemented
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C8×D11—44no—
223C8×D11—44no—
224C42×D4—111no—
225#1923—111no—
226#1923D1111yescharacteristic, complemented
227#1916—111no—
228#1916—111no—
229#1869—111no—
230#1869—111no—
231#1850—111no—
232#1850—111no—
233#1839—111no—
234#1831—111no—
235#1817—111no—
236#1797—111no—
237C4×C22⋊C8—111no—
238C2×#336—111no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11C22×C812yes—
246C23×C11C23×C411yescharacteristic
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11#11712yes—
252C22×D11C22×C812yes—
253C22×D11C2×M1612yes—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11C22×C812yes—
271C2×C4×C11C22×C812yes—
272C2×C4×C11C2×M1612yes—
273C2×C4×C11C2×#4111yescharacteristic
274C2×C4×C11C2×#4111yescharacteristic
275C2×C4×C11H(5,𝔽2)11yescharacteristic
276C2×C4×C11H(5,𝔽2)11yescharacteristic
277C2×C4×C11H(5,𝔽2)11yescharacteristic
278C2×C4×C112−1+411yescharacteristic
279C22⋊D11—28no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—44no—
297C2×Dic11—44no—
298C2×Dic11#11712yes—
299C2×Dic11C22×C812yes—
300C2×Dic11C22×C812yes—
301C2×Dic11C22×C812yes—
302C2×Dic11C2×M1612yes—
303C4×D11—22no—
304C4×D11—22no—
305C4×D11—22no—
306C4×D11—22no—
307C4×D11—44no—
308C4×D11—44no—
309C8×C11—41no—
310C8×C11—41no—
311C8×C11—41no—
312C8×C11—41no—
313C11⋊C8—41no—
314C11⋊C8—41no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C23×C8—111no—
318C23×C8—111no—
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4—111no—
322C22×C42—111no—
323C22×C42—111no—
324C2×C4⋊C8—111no—
325C2×C4⋊C8—111no—
326C2×C4⋊C8—111no—
327C2×C4⋊C8C2×D1111yescharacteristic
328C2×C22⋊C8—111no—
329C2×C22⋊C8—111no—
330C2×C22⋊C8—111no—
331C2×C22⋊C8—111no—
332C2×C22⋊C8C2×D1111yescharacteristic
333C2×C22⋊C8C2×D1111yescharacteristic
334C2×C4×C8—111no—
335C2×C4×C8C2×D1111yescharacteristic
336C4×C4⋊C4—111no—
337C4×C4⋊C4—111no—
338C4×C4⋊C4—111no—
339C4×C22⋊C4—111no—
340C4×C22⋊C4—111no—
341C4×C22⋊C4—111no—
342C4×C22⋊C4—111no—
343C4×C22⋊C4—111no—
344C4×C22⋊C4C2×D1111yescharacteristic
345C43—111no—
346#336—111no—
347#336—111no—
348#336—111no—
349#336—111no—
350#336—111no—
351#336—111no—
352#336—111no—
353#336—111no—
354#336—111no—
355#336—111no—
356#336—111no—
357#336—111no—
358#336C2×D1111yescharacteristic
359#336C2×D1111yescharacteristic
360C22×C11—22no—
361C22×C11—22no—
362C22×C11—22no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11—41no—
366C22×C11—41no—
367C22×C11C2×#11711yescharacteristic
368C22×C11#51811yescharacteristic
369C22×C11#52011yescharacteristic
370C22×C11C23×C811yescharacteristic
371C22×C11C22×M1611yescharacteristic
372C22×C11#56811yescharacteristic
373C22×C11#56811yescharacteristic
374C2×D11—22no—
375C2×D11—22no—
376C2×D11—22no—
377C2×D11—22no—
378C2×D11—22no—
379C2×D11—22no—
380C2×D11#43114yes—
381C4×C11—22no—
382C4×C11—22no—
383C4×C11—22no—
384C4×C11—41no—
385C4×C11—41no—
386C4×C11#53811yescharacteristic
387C4×C11#53811yescharacteristic
388C4×C11#53911yescharacteristic
389C4×C11#53911yescharacteristic
390Dic11—22no—
391Dic11—22no—
392Dic11—22no—
393Dic11—22no—
394Dic11—22no—
395Dic11—41no—
396Dic11—41no—
397C22×D4—111no—
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—111no—
401C23×C4—111no—
402C23×C4—111no—
403C23×C4C22×D1111yescharacteristic
404C22×C8—111no—
405C22×C8—111no—
406C22×C8—111no—
407C22×C8—111no—
408C22×C8—222no—
409C22×C8—222no—
410C22×C8—441no—
411C22×C8—441no—
412C22×C8—441no—
413C22×C8—441no—
414C22×C8C22×D1111yescharacteristic
415C22×C8C22×D1111yescharacteristic
416C22×C8C22×D1111yescharacteristic
417C22×C8C22×D1111yescharacteristic
418C4×D4—118no—
419C4×D4—224no—
420C4×D4—222no—
421C4×D4—222no—
422C2×C4⋊C4—111no—
423C2×C4⋊C4—111no—
424C2×C4⋊C4—111no—
425C2×C22⋊C4—111no—
426C2×C22⋊C4—111no—
427C2×C22⋊C4—111no—
428C2×C22⋊C4—111no—
429C2×C22⋊C4C4×D1111yescharacteristic
430C2×C22⋊C4C4×D1111yescharacteristic
431C2×C42—111no—
432C2×C42—111no—
433C2×C42—111no—
434C2×C42—111no—
435C2×C42—111no—
436C2×C42—111no—
437C2×C42—111no—
438C2×C42—111no—
439C2×C42—111no—
440C2×C42—111no—
441C2×C42—111no—
442C2×C42—441no—
443C2×C42—441no—
444C2×C42—441no—
445C2×C42—441no—
446C2×C42C22×D1111yescharacteristic
447C2×C42C22×D1111yescharacteristic
448C4⋊C8—41no—
449C4⋊C8—441no—
450C4⋊C8—441no—
451C4⋊C8—441no—
452C22⋊C8—41no—
453C22⋊C8—41no—
454C22⋊C8—222no—
455C22⋊C8—222no—
456C22⋊C8—441no—
457C22⋊C8—441no—
458C4×C8—41no—
459C4×C8—441no—
460#95—111no—
461#95—111no—
462#95—111no—
463#95—111no—
464#95C4×D1111yescharacteristic
465#95C4×D1111yescharacteristic
466C2×C11—42no—
467C2×C11#231811yescharacteristic
468C2×C11C2×#43111yescharacteristic
469C2×C11#292311yescharacteristic
470C2×C11#297211yescharacteristic
471C2×C11#297311yescharacteristic
472C2×C11#298811yescharacteristic
473C2×C11#298911yescharacteristic
474D11—24no—
475C24—111no—
476C24C2×C4×D1111yescharacteristic
477C2×D4—114no—
478C2×D4—222no—
479C2×D4—222no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—111no—
487C22×C4—111no—
488C22×C4—111no—
489C22×C4—111no—
490C22×C4—111no—
491C22×C4—114no—
492C22×C4—112no—
493C22×C4—112no—
494C22×C4—114no—
495C22×C4—114no—
496C22×C4—111no—
497C22×C4—111no—
498C22×C4—222no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—441no—
504C22×C4—441no—
505C22×C4—441no—
506C22×C4—441no—
507C22×C4—441no—
508C22×C4—441no—
509C22×C4—441no—
510C22×C4—441no—
511C22×C4C2×C4×D1111yescharacteristic
512C22×C4C2×C4×D1111yescharacteristic
513C22×C4C2×C4×D1111yescharacteristic
514C22×C4C2×C4×D1111yescharacteristic
515C22×C4C2×C4×D1111yescharacteristic
516C22×C4C23×D1111yescharacteristic
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—221no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—444no—
542C2×C8—444no—
543C4⋊C4—114no—
544C4⋊C4—222no—
545C4⋊C4—222no—
546C22⋊C4—22no—
547C22⋊C4—114no—
548C22⋊C4—222no—
549C22⋊C4—222no—
550C22⋊C4—222no—
551C22⋊C4C8×D1114yescomplemented
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—114no—
557C42—222no—
558C42—221no—
559C42—221no—
560C42—221no—
561C42—221no—
562C42—221no—
563C42—221no—
564C42—441no—
565C42—441no—
566C42—441no—
567C42—441no—
568C42—441no—
569C42—441no—
570C11#2199611yescharacteristic, complemented, Sylow
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—112no—
578C23—112no—
579C23—112no—
580C23—221no—
581C23—221no—
582C23—221no—
583C23—221no—
584C23C2×C8×D1112yes—
585C23C22×C4×D1111yescharacteristic
586D4—228no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—112no—
604C2×C4—112no—
605C2×C4—112no—
606C2×C4—112no—
607C2×C4—112no—
608C2×C4—221no—
609C2×C4—221no—
610C2×C4—221no—
611C2×C4—221no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—221no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—444no—
629C2×C4—444no—
630C2×C4—444no—
631C2×C4—444no—
632C2×C4C2×C8×D1112yes—
633C2×C4C2×C8×D1112yes—
634C2×C4M16×D1112yes—
635C2×C4#6703711yescharacteristic
636C2×C4#6703711yescharacteristic
637C2×C4#41×D1111yescharacteristic
638C2×C4#41×D1111yescharacteristic
639C2×C4#6704211yescharacteristic
640C2×C4#6704311yescharacteristic
641C8—41no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—441no—
646C8—441no—
647C8—441no—
648C8—441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—114no—
657C22—222no—
658C22—222no—
659C22—222no—
660C22—222no—
661C22—222no—
662C22—222no—
663C22D11×#11711yescharacteristic
664C22#1062307611yescharacteristic
665C22#1062307711yescharacteristic
666C22C22×C8×D1111yescharacteristic
667C22C2×M16×D1111yescharacteristic
668C22#1062328111yescharacteristic
669C22#1062328111yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—222no—
676C4—222no—
677C4—222no—
678C4—222no—
679C4—222no—
680C4—441no—
681C4—441no—
682C4#1062314411yescharacteristic
683C4#1062319111yescharacteristic
684C4#1062320911yescharacteristic
685C4#1062323811yescharacteristic
686C2—42no—
687C2—224no—
688C2#1307124611yescharacteristic
689C2D11×#43111yescharacteristic
690C2#1307726411yescharacteristic
691C2#1307763711yescharacteristic
692C2#1307764111yescharacteristic
693C2#1307772311yescharacteristic
694C2#1307773111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutatorC22×C11C23×C8
FittingC11×#1923C2
socleC23×C11C23×C4
prime radicalC22×C22⋊D11C2×C4
cosocleC22×C4×C11C24
hypercenter#1923D11
hypocenterC11#21996
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
2. #13069224C2semidirect
3. #13069173C2semidirect
4. #13069171C2semidirect
7. #13068795C2semidirect
8. #13068792C2semidirect
9. #13068758C2semidirect
10. #13068732C2semidirect
11. #13068682C2semidirect
12. #13068594C2semidirect
13. C4×(C2×D11)⋊C8C2semidirect
14. D11×#336C2semidirect
15. C11×#1923C2semidirect
107. (C22⋊D11)⋊C4C8semidirect
151. C22×Dic11C2×C8semidirect
184. C11×C22⋊C4C2×C8semidirect
195. Dic11⋊C4C2×C8semidirect
209. C4×Dic11C2×C8semidirect
226. #1923D11semidirect
551. C22⋊C4C8×D11semidirect
570. C11#21996semidirect

Maximal subgroups

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

subgroupindex
C4×(C22⋊D11)⋊C42
#130692242
#130691732
#130691712
#130689052
#130687952
#130687922
#130687582
#130687322
#130686822
#130685942
C4×(C2×D11)⋊C82
D11×#3362
C11×#19232
#2199611