Finite Group Databasebeta

← #14764415

Subgroups — #14764415

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×D4×Dic11C211yesmaximal, characteristic
2#13069225C211yesmaximal, characteristic, complemented
3#13069219C211yesmaximal, characteristic, complemented
4#13069174C211yesmaximal, characteristic, complemented
5#13069172C211yesmaximal, characteristic, complemented
6#13068909C211yesmaximal, characteristic
7#13068794C211yesmaximal, characteristic, complemented
8#13068793C211yesmaximal, characteristic, complemented
9#13068758C211yesmaximal, characteristic, complemented
10#13068731C211yesmaximal, characteristic, complemented
11#13068682C211yesmaximal, characteristic, complemented
12#13068594C211yesmaximal, characteristic, complemented
13C22⋊C8×Dic11C211yesmaximal, characteristic, complemented
14C2×#10622188C211yesmaximal, characteristic, complemented
15C11×#1869C211yesmaximal, characteristic
16C23×C8×C11C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×D4×Dic11C411yescharacteristic
19C2×D4×Dic11C411yescharacteristic
20C22×C4×Dic11C2211yescharacteristic
21C22×C4×Dic11C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×C11×C22⋊C8C2211yescharacteristic
24C2×C11×C22⋊C8C2211yescharacteristic
25C2×C11×C22⋊C8C2211yescharacteristic
26C4×C22⋊Dic11C2211yescharacteristic
27C4×C22⋊Dic11C2211yescharacteristic
28C2×C22⋊(C11⋊C8)C2211yescharacteristic
29C2×C22⋊(C11⋊C8)C2211yescharacteristic
30C2×C22⋊(C11⋊C8)C2211yescharacteristic
31C2×Dic11⋊C8C2211yescharacteristic
32C2×Dic11⋊C8C2211yescharacteristic
33C2×Dic11⋊C8C2211yescharacteristic
34C2×Dic11⋊C8C2211yescharacteristic
35C2×C8×Dic11C2211yescharacteristic
36C2×C8×Dic11C2211yescharacteristic
37C4⋊C4×Dic11C411yescharacteristic
38C4⋊C4×Dic11C411yescharacteristic
39C22⋊C4×Dic11C411yescharacteristic
40C22⋊C4×Dic11C411yescharacteristic
41C22⋊C4×Dic11C411yescharacteristic
42C22⋊C4×Dic11C411yescharacteristic
43C4×C4⋊Dic11C2211yescharacteristic
44C42×Dic11C2211yescharacteristic
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
59C22×D4×C11C2×C411yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×Dic11C2×C411yescharacteristic
63C23×Dic11C2×C411yescharacteristic
64C23×Dic11C2×C411yescharacteristic
65C23×Dic11C2×C411yescharacteristic
66C22×C8×C11—22no—
67C22×C8×C11—41no—
68C22×C8×C11—41no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4C2×C411yescharacteristic
76C2×C11×C22⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4C2×C411yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C22⋊Dic11C2×C411yescharacteristic
80C2×C22⋊Dic11C2×C411yescharacteristic
81C2×C22⋊Dic11C2×C411yescharacteristic
82C2×C22⋊Dic11C2×C411yescharacteristic
83D4×Dic11—24no—
84D4×Dic11C818yescomplemented
85C2×C4⋊Dic11C2×C411yescharacteristic
86C2×C4⋊Dic11C2×C411yescharacteristic
87C2×C4×Dic11—41no—
88C2×C4×Dic11—41no—
89C2×C4×Dic11—41no—
90C2×C4×Dic11—41no—
91C2×C4×Dic11C2×C411yescharacteristic
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11C2×C411yescharacteristic
94C2×C4×Dic11C2×C411yescharacteristic
95C2×C4×Dic11C2×C411yescharacteristic
96C2×C4×Dic11C2×C411yescharacteristic
97C2×C4×Dic11C2×C411yescharacteristic
98C2×C4×Dic11C2×C411yescharacteristic
99C2×C4×Dic11C2311yescharacteristic
100C2×C4×Dic11C2311yescharacteristic
101C2×C4×Dic11C2311yescharacteristic
102C2×C4×Dic11C2311yescharacteristic
103C22×C11⋊C8—22no—
104C22×C11⋊C8—41no—
105C22×C11⋊C8—41no—
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C11×C22⋊C8—22no—
111C11×C22⋊C8—41no—
112C11×C22⋊C8—41no—
113C11⋊#95C2×C411yescharacteristic
114C11⋊#95C2×C411yescharacteristic
115C11⋊#95C2×C411yescharacteristic
116C11⋊#95C2×C411yescharacteristic
117C11⋊#95C2×C411yescharacteristic
118C11⋊#95C2×C411yescharacteristic
119C22⋊(C11⋊C8)—22no—
120C22⋊(C11⋊C8)—41no—
121C22⋊(C11⋊C8)—41no—
122Dic11⋊C8—41no—
123Dic11⋊C8—41no—
124Dic11⋊C8—41no—
125Dic11⋊C8—41no—
126C8×Dic11—41no—
127C8×Dic11—41no—
128#21996—111nomaximal, Sylow
129C24×C11C22×C411yescharacteristic
130C24×C11C22×C411yescharacteristic
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11C2×C814yes—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11C22×C411yescharacteristic
145C22×C4×C11C22×C411yescharacteristic
146C22×C4×C11C22×C411yescharacteristic
147C22×C4×C11C22×C411yescharacteristic
148C22×C4×C11#4112yes—
149C22×C4×C11#4112yes—
150C22×C4×C11C2411yescharacteristic
151C22×Dic11—22no—
152C22×Dic11—41no—
153C22×Dic11—41no—
154C22×Dic11—41no—
155C22×Dic11—41no—
156C22×Dic11—41no—
157C22×Dic11—41no—
158C22×Dic11—41no—
159C22×Dic11—41no—
160C22×Dic11C2×C814yes—
161C22×Dic11C2×C814yescomplemented
162C22×Dic11M1614yes—
163C22×Dic11C22×C411yescharacteristic
164C22×Dic11C22×C411yescharacteristic
165C22×Dic11C22×C411yescharacteristic
166C22×Dic11C22×C411yescharacteristic
167C22×Dic11C22×C411yescharacteristic
168C22×Dic11C22×C411yescharacteristic
169C22×Dic11C22×C411yescharacteristic
170C22×Dic11C22×C411yescharacteristic
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—
183C2×C8×C11—44no—
184C11×C4⋊C4—22no—
185C11×C22⋊C4—22no—
186C11×C22⋊C4—22no—
187C42×C11—21no—
188C42×C11—21no—
189C22⋊Dic11—22no—
190C22⋊Dic11—22no—
191C22⋊Dic11C2×C814yes—
192C22⋊Dic11C2×C814yescomplemented
193C4⋊Dic11—22no—
194C4⋊Dic11C2×C814yescomplemented
195C4×Dic11—22no—
196C4×Dic11—21no—
197C4×Dic11—21no—
198C4×Dic11—21no—
199C4×Dic11—21no—
200C4×Dic11—21no—
201C4×Dic11—21no—
202C4×Dic11—21no—
203C4×Dic11—21no—
204C4×Dic11—41no—
205C4×Dic11—41no—
206C4×Dic11—41no—
207C4×Dic11—41no—
208C4×Dic11—41no—
209C4×Dic11—41no—
210C4×Dic11C2×C814yescomplemented
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—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—44no—
224C42×D4—111no—
225#1923—111no—
226#1923—111no—
227#1916—111no—
228#1916—111no—
229#1869—111no—
230#1869D1111yescharacteristic
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×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11#11712yes—
250C23×C11C22×C812yes—
251C23×C11C22×C812yes—
252C23×C11C2×M1612yes—
253C23×C11C23×C411yescharacteristic
254D4×C11—28no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11#11712yes—
274C2×C4×C11C22×C812yes—
275C2×C4×C11C2×#4111yescharacteristic
276C2×C4×C11C2×#4111yescharacteristic
277C2×C4×C11H(5,𝔽2)11yescharacteristic
278C2×C4×C11H(5,𝔽2)11yescharacteristic
279C2×C4×C11H(5,𝔽2)11yescharacteristic
280C2×C4×C112−1+411yescharacteristic
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—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—44no—
300C2×Dic11—44no—
301C2×Dic11—44no—
302C2×Dic11—44no—
303C2×Dic11C22×C812yes—
304C2×Dic11C22×C812yes—
305C2×Dic11C22×C812yes—
306C2×Dic11C22×C812yes—
307C2×Dic11C2×M1612yes—
308C2×Dic11C2×M1612yes—
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×C8C2×D1111yescharacteristic
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4C2×D1111yescharacteristic
322C22×C42—111no—
323C22×C42—111no—
324C2×C4⋊C8—111no—
325C2×C4⋊C8—111no—
326C2×C4⋊C8—111no—
327C2×C4⋊C8—111no—
328C2×C22⋊C8—111no—
329C2×C22⋊C8—111no—
330C2×C22⋊C8—111no—
331C2×C22⋊C8C2×D1111yescharacteristic
332C2×C22⋊C8C2×D1111yescharacteristic
333C2×C22⋊C8C2×D1111yescharacteristic
334C2×C4×C8—111no—
335C2×C4×C8—111no—
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⋊C4—111no—
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—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11#43114yes—
374C22×C11C2×#11711yescharacteristic
375C22×C11#51811yescharacteristic
376C22×C11#52011yescharacteristic
377C22×C11C23×C811yescharacteristic
378C22×C11C22×M1611yescharacteristic
379C22×C11#56811yescharacteristic
380C22×C11#56811yescharacteristic
381C4×C11—22no—
382C4×C11—22no—
383C4×C11—41no—
384C4×C11—41no—
385C4×C11#53811yescharacteristic
386C4×C11#53811yescharacteristic
387C4×C11#53911yescharacteristic
388C4×C11#53911yescharacteristic
389Dic11—22no—
390Dic11—22no—
391Dic11—22no—
392Dic11—22no—
393Dic11—22no—
394Dic11—22no—
395Dic11—41no—
396Dic11—41no—
397C22×D4C4×D1111yescharacteristic
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—111no—
401C23×C4—111no—
402C23×C4C22×D1111yescharacteristic
403C23×C4C22×D1111yescharacteristic
404C22×C8—22no—
405C22×C8—41no—
406C22×C8—41no—
407C22×C8—111no—
408C22×C8—111no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—222no—
412C22×C8—441no—
413C22×C8—441no—
414C22×C8C22×D1111yescharacteristic
415C22×C8C22×D1111yescharacteristic
416C22×C8C22×D1111yescharacteristic
417C22×C8C22×D1111yescharacteristic
418C4×D4—22no—
419C4×D4—22no—
420C4×D4—118no—
421C4×D4—224no—
422C2×C4⋊C4—111no—
423C2×C4⋊C4—111no—
424C2×C4⋊C4C4×D1111yescharacteristic
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—111no—
443C2×C42—441no—
444C2×C42—441no—
445C2×C42—441no—
446C2×C42—441no—
447C2×C42C22×D1111yescharacteristic
448C4⋊C8—441no—
449C4⋊C8—441no—
450C4⋊C8—441no—
451C4⋊C8—441no—
452C22⋊C8—22no—
453C22⋊C8—41no—
454C22⋊C8—41no—
455C22⋊C8—222no—
456C22⋊C8—441no—
457C22⋊C8—441no—
458C4×C8—441no—
459C4×C8—441no—
460#95—111no—
461#95—111no—
462#95—111no—
463#95—111no—
464#95—111no—
465#95—111no—
466C2×C11—24no—
467C2×C11—42no—
468C2×C11#231811yescharacteristic
469C2×C11C2×#43111yescharacteristic
470C2×C11#292311yescharacteristic
471C2×C11#297211yescharacteristic
472C2×C11#297311yescharacteristic
473C2×C11#298811yescharacteristic
474C2×C11#298911yescharacteristic
475C24C2×C4×D1111yescharacteristic
476C24C2×C4×D1111yescharacteristic
477C2×D4—22no—
478C2×D4—22no—
479C2×D4C8×D1114yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—111no—
491C22×C4—111no—
492C22×C4—111no—
493C22×C4—111no—
494C22×C4—111no—
495C22×C4—111no—
496C22×C4—114no—
497C22×C4—114no—
498C22×C4—114no—
499C22×C4—111no—
500C22×C4—111no—
501C22×C4—222no—
502C22×C4—441no—
503C22×C4—441no—
504C22×C4—441no—
505C22×C4—441no—
506C22×C4—441no—
507C22×C4—441no—
508C22×C4—441no—
509C22×C4—441no—
510C22×C4C2×C4×D1111yescharacteristic
511C22×C4C2×C4×D1111yescharacteristic
512C22×C4C2×C4×D1111yescharacteristic
513C22×C4C2×C4×D1111yescharacteristic
514C22×C4#434112yes—
515C22×C4#434112yes—
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—44no—
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—221no—
542C2×C8—444no—
543C4⋊C4—22no—
544C4⋊C4—114no—
545C4⋊C4—222no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—114no—
549C22⋊C4—114no—
550C22⋊C4—222no—
551C22⋊C4—222no—
552C42—21no—
553C42—21no—
554C42—114no—
555C42—222no—
556C42—221no—
557C42—221no—
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—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23#6693012yes—
582C23C2×C8×D1112yes—
583C23C2×C8×D1112yes—
584C23M16×D1112yes—
585C23C22×C4×D1111yescharacteristic
586D4—28no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—112no—
606C2×C4—112no—
607C2×C4—112no—
608C2×C4—112no—
609C2×C4—112no—
610C2×C4—112no—
611C2×C4—221no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—221no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—221no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—444no—
630C2×C4—444no—
631C2×C4—444no—
632C2×C4—444no—
633C2×C4#6693012yes—
634C2×C4C2×C8×D1112yes—
635C2×C4C2×#434111yescharacteristic
636C2×C4C2×#434111yescharacteristic
637C2×C4#6703711yescharacteristic
638C2×C4#6703711yescharacteristic
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—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22#1062233114yes—
663C22C2×#6693011yescharacteristic
664C22#1062307611yescharacteristic
665C22#1062307711yescharacteristic
666C22C22×C8×D1111yescharacteristic
667C22C2×M16×D1111yescharacteristic
668C22#1062328111yescharacteristic
669C22#1062328111yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—222no—
675C4—222no—
676C4—222no—
677C4—222no—
678C4—222no—
679C4—222no—
680C4—441no—
681C4—441no—
682C4#1062312411yescharacteristic
683C4#1062313311yescharacteristic
684C4#1062314811yescharacteristic
685C4#1062319611yescharacteristic
686C2—24no—
687C2—42no—
688C2#1307124211yescharacteristic
689C2C2×#1062233111yescharacteristic
690C2#1307726311yescharacteristic
691C2#1307763711yescharacteristic
692C2#1307764111yescharacteristic
693C2#1307772311yescharacteristic
694C2#1307772811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutatorC22×C11C23×C8
FittingC11×#1869C2
socleC23×C11C23×C4
prime radicalC22×D4×C11C2×C4
cosocleC22×C4×C11C24
hypercenter#1869D11
hypocenterC11#21996
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1869

Complements

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

NH ≅ G/Ntype
2. #13069225C2semidirect
3. #13069219C2semidirect
4. #13069174C2semidirect
5. #13069172C2semidirect
7. #13068794C2semidirect
8. #13068793C2semidirect
9. #13068758C2semidirect
10. #13068731C2semidirect
11. #13068682C2semidirect
12. #13068594C2semidirect
13. C22⋊C8×Dic11C2semidirect
14. C2×#10622188C2semidirect
84. D4×Dic11C8semidirect
161. C22×Dic11C2×C8semidirect
192. C22⋊Dic11C2×C8semidirect
194. C4⋊Dic11C2×C8semidirect
210. C4×Dic11C2×C8semidirect
570. C11#21996semidirect

Maximal subgroups

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

subgroupindex
C4×D4×Dic112
#130692252
#130692192
#130691742
#130691722
#130689092
#130687942
#130687932
#130687582
#130687312
#130686822
#130685942
C22⋊C8×Dic112
C2×#106221882
C11×#18692
#2199611