Finite Group Databasebeta

← #14764583

Subgroups — #14764583

Order 2816.

866 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
2#13069412C211yesmaximal, characteristic
3#13069412C211yesmaximal, characteristic
4#13069338C211yesmaximal, characteristic, complemented
5#13069336C211yesmaximal, characteristic, complemented
6#13069224C211yesmaximal, characteristic, complemented
7#13069222C211yesmaximal, characteristic, complemented
8#13069220C211yesmaximal, characteristic, complemented
9#13068683C211yesmaximal, characteristic, complemented
10#13068682C211yesmaximal, characteristic, complemented
11#13068594C211yesmaximal, characteristic, complemented
12#13068593C211yesmaximal, characteristic, complemented
13C4×Dic11⋊C8C211yesmaximal, characteristic, complemented
14#13068363C211yesmaximal, characteristic, complemented
15C11×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D11C2211yescharacteristic
17C22×C4×Dic11C2211yescharacteristic
18C2×(C22⋊D11)⋊C4C411yescharacteristic
19C2×(C22⋊D11)⋊C4C411yescharacteristic
20C2×C42×D11C2211yescharacteristic
21C2×C11×C4⋊C8C2211yescharacteristic
22C2×C11×C22⋊C8C2211yescharacteristic
23C2×C11×C22⋊C8C2211yescharacteristic
24C2×C4×C8×C11C2211yescharacteristic
25C4×C11×C22⋊C4C2211yescharacteristic
26C2×C22⋊(C11⋊C8)C2211yescharacteristic
27C2×C22⋊(C11⋊C8)C2211yescharacteristic
28C2×(C2×D11)⋊C8C2211yescharacteristic
29C2×(C2×D11)⋊C8C2211yescharacteristic
30C2×(C2×D11)⋊C8C2211yescharacteristic
31C2×(C2×D11)⋊C8C2211yescharacteristic
32C2×#66879C2211yescharacteristic
33C2×#66879C2211yescharacteristic
34C2×Dic11⋊C8C2211yescharacteristic
35C2×Dic11⋊C8C2211yescharacteristic
36C2×Dic11⋊C8C2211yescharacteristic
37C2×Dic11⋊C8C2211yescharacteristic
38C22⋊C4×Dic11C411yescharacteristic
39C22⋊C4×Dic11C411yescharacteristic
40C4×(C2×D11)⋊C4C2211yescharacteristic
41C4×Dic11⋊C4C2211yescharacteristic
42C42×Dic11C2211yescharacteristic
43C2×C4⋊(C11⋊C8)C2211yescharacteristic
44C2×C4×C11⋊C8C2211yescharacteristic
45#10622279C411yescharacteristic
46#10622279C411yescharacteristic
47#10622262C411yescharacteristic
48#10622262C411yescharacteristic
49C11×#336C2211yescharacteristic
50C11×#336C2211yescharacteristic
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
100(C22⋊D11)⋊C4—24no—
101(C22⋊D11)⋊C4—24no—
102C42×D11—41no—
103C42×D11—41no—
104C11×C4⋊C8—41no—
105C11×C22⋊C8—41no—
106C11×C22⋊C8—41no—
107C4×C8×C11—41no—
108C11×#95C2×C411yescharacteristic
109C11×#95C2×C411yescharacteristic
110C11⋊#95C2×C411yescharacteristic
111C11⋊#95C2×C411yescharacteristic
112C11⋊#95C2×C411yescharacteristic
113C11⋊#95C2×C411yescharacteristic
114C22⋊(C11⋊C8)—41no—
115C22⋊(C11⋊C8)—41no—
116(C2×D11)⋊C8—41no—
117(C2×D11)⋊C8—41no—
118(C2×D11)⋊C8—41no—
119(C2×D11)⋊C8—41no—
120#66879—22no—
121#66879—22no—
122Dic11⋊C8—22no—
123Dic11⋊C8—22no—
124Dic11⋊C8—41no—
125Dic11⋊C8—41no—
126C4⋊(C11⋊C8)—41no—
127C4×C11⋊C8—41no—
128#22010—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⋊D11—22no—
146C22×Dic11—22no—
147C22×Dic11—22no—
148C22×Dic11—22no—
149C22×Dic11—22no—
150C22×Dic11—41no—
151C22×Dic11—41no—
152C22×Dic11C22×C411yescharacteristic
153C22×Dic11C22×C411yescharacteristic
154C22×Dic11C22×C411yescharacteristic
155C22×Dic11C22×C411yescharacteristic
156C22×Dic11C22×C411yescharacteristic
157C22×Dic11C22×C411yescharacteristic
158C22×Dic11C22×C411yescharacteristic
159C2×C4×D11—22no—
160C2×C4×D11—22no—
161C2×C4×D11—22no—
162C2×C4×D11—22no—
163C2×C4×D11—21no—
164C2×C4×D11—21no—
165C2×C4×D11—21no—
166C2×C4×D11—21no—
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—41no—
170C2×C4×D11—41no—
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⋊C4M1614yes—
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)⋊C4M1614yes—
193Dic11⋊C4—22no—
194Dic11⋊C4—22no—
195Dic11⋊C4—22no—
196C4×Dic11—22no—
197C4×Dic11—22no—
198C4×Dic11—22no—
199C4×Dic11—22no—
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#4112yes—
209C4×Dic11#4112yes—
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—
222C42×D4—111no—
223#1955—111no—
224#1955—111no—
225#1940—111no—
226#1940—111no—
227#1923—111no—
228#1923—111no—
229#1923—111no—
230#1923D1111yescharacteristic, complemented
231#1817—111no—
232#1817—111no—
233#1797—111no—
234#1797—111no—
235C4×C4⋊C8—111no—
236#1745—111no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11C2×M1612yes—
244C23×C11C23×C411yescharacteristic
245C22×D11—21no—
246C22×D11—21no—
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11C2×M1612yes—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
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—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11C2×M1612yes—
269C2×C4×C11C2×M1612yes—
270C2×C4×C11C2×M1612yes—
271C2×C4×C11C2×#4111yescharacteristic
272C2×C4×C11C2×#4111yescharacteristic
273C2×C4×C11H(5,𝔽2)11yescharacteristic
274C2×C4×C11H(5,𝔽2)11yescharacteristic
275C2×C4×C11H(5,𝔽2)11yescharacteristic
276C2×C4×C112−1+411yescharacteristic
277C22⋊D11—28no—
278C2×Dic11—21no—
279C2×Dic11—21no—
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—44no—
295C2×Dic11—44no—
296C2×Dic11#11712yes—
297C2×Dic11#11712yes—
298C2×Dic11C2×M1612yes—
299C2×Dic11#13112yes—
300C2×Dic11#13112yes—
301C4×D11—44no—
302C4×D11—44no—
303C4×D11—41no—
304C4×D11—41no—
305C4×D11—41no—
306C4×D11—41no—
307C8×C11—41no—
308C8×C11—41no—
309C8×C11—41no—
310C8×C11—41no—
311C11⋊C8—41no—
312C11⋊C8—41no—
313C11⋊C8—41no—
314C11⋊C8—41no—
315C2×C4×D4—111no—
316C2×C4×D4—111no—
317C2×C4×D4—111no—
318C22×C42—111no—
319C22×C42—111no—
320C2×C4⋊C8—111no—
321C2×C4⋊C8—111no—
322C2×C4⋊C8—111no—
323C2×C4⋊C8—111no—
324C2×C4⋊C8—111no—
325C2×C4⋊C8C2×D1111yescharacteristic
326C2×C22⋊C8—111no—
327C2×C22⋊C8—111no—
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×#97—111no—
335C2×#97—111no—
336C2×C4×C8—111no—
337C2×C4×C8C2×D1111yescharacteristic
338C4×C4⋊C4—111no—
339C4×C4⋊C4—111no—
340C4×C4⋊C4—111no—
341C4×C22⋊C4—111no—
342C4×C22⋊C4—111no—
343C4×C22⋊C4—111no—
344C4×C22⋊C4—111no—
345C4×C22⋊C4—111no—
346C4×C22⋊C4C2×D1111yescharacteristic
347C43—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#336C2×D1111yescharacteristic
357#336C2×D1111yescharacteristic
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11C2×#11711yescharacteristic
366C22×C11#51811yescharacteristic
367C22×C11#52011yescharacteristic
368C22×C11C22×M1611yescharacteristic
369C22×C11C22×M1611yescharacteristic
370C22×C11C2×#13111yescharacteristic
371C22×C11C2×#13111yescharacteristic
372C2×D11—22no—
373C2×D11—22no—
374C2×D11—22no—
375C2×D11—41no—
376C2×D11—41no—
377C2×D11—41no—
378C2×D11—41no—
379C4×C11—22no—
380C4×C11—22no—
381C4×C11—22no—
382C4×C11—41no—
383C4×C11—41no—
384C4×C11#54011yescharacteristic
385C4×C11#54011yescharacteristic
386C4×C11#54211yescharacteristic
387C4×C11#54211yescharacteristic
388Dic11—22no—
389Dic11—22no—
390Dic11—22no—
391Dic11—22no—
392Dic11—22no—
393Dic11—41no—
394Dic11—41no—
395C22×D4—111no—
396C23×C4—111no—
397C23×C4—111no—
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—111no—
401C23×C4C22×D1111yescharacteristic
402C22×C8—111no—
403C22×C8—111no—
404C22×C8—111no—
405C22×C8—111no—
406C22×C8C22×D1111yescharacteristic
407C22×C8C22×D1111yescharacteristic
408C22×C8C22×D1111yescharacteristic
409C22×C8C22×D1111yescharacteristic
410C4×D4—222no—
411C4×D4—222no—
412C4×D4—224no—
413C4×D4—224no—
414C2×C4⋊C4—111no—
415C2×C4⋊C4—111no—
416C2×C4⋊C4—111no—
417C2×C22⋊C4—111no—
418C2×C22⋊C4—111no—
419C2×C22⋊C4—111no—
420C2×C22⋊C4—111no—
421C2×C22⋊C4C4×D1111yescharacteristic
422C2×C22⋊C4C4×D1111yescharacteristic
423C2×C42—111no—
424C2×C42—111no—
425C2×C42—111no—
426C2×C42—111no—
427C2×C42—111no—
428C2×C42—111no—
429C2×C42—111no—
430C2×C42—111no—
431C2×C42—111no—
432C2×C42—111no—
433C2×C42—111no—
434C2×C42—441no—
435C2×C42—441no—
436C2×C42—441no—
437C2×C42—441no—
438C2×C42C22×D1111yescharacteristic
439C2×C42C22×D1111yescharacteristic
440C4⋊C8—41no—
441C4⋊C8—222no—
442C4⋊C8—222no—
443C4⋊C8—441no—
444C4⋊C8—441no—
445C4⋊C8—441no—
446C22⋊C8—41no—
447C22⋊C8—41no—
448C22⋊C8—441no—
449C22⋊C8—441no—
450C22⋊C8—441no—
451C22⋊C8—441no—
452C22⋊C8—441no—
453C22⋊C8—441no—
454#97—222no—
455#97—222no—
456C4×C8—41no—
457C4×C8—441no—
458#95—111no—
459#95—111no—
460#95—111no—
461#95—111no—
462#95C4×D1111yescharacteristic
463#95C4×D1111yescharacteristic
464C2×C11—42no—
465C2×C11#231911yescharacteristic
466C2×C11#292011yescharacteristic
467C2×C11#292211yescharacteristic
468C2×C11#297411yescharacteristic
469C2×C11#297411yescharacteristic
470C2×C11#299011yescharacteristic
471C2×C11#299011yescharacteristic
472D11—42no—
473C24—111no—
474C24C2×C4×D1111yescharacteristic
475C2×D4—222no—
476C2×D4—222no—
477C2×D4—222no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—111no—
485C22×C4—111no—
486C22×C4—111no—
487C22×C4—111no—
488C22×C4—111no—
489C22×C4—111no—
490C22×C4—111no—
491C22×C4—222no—
492C22×C4—222no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—222no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—221no—
504C22×C4—221no—
505C22×C4—441no—
506C22×C4—441no—
507C22×C4—441no—
508C22×C4—441no—
509C22×C4C2×C4×D1111yescharacteristic
510C22×C4C2×C4×D1111yescharacteristic
511C22×C4C2×C4×D1111yescharacteristic
512C22×C4C2×C4×D1111yescharacteristic
513C22×C4C2×C4×D1111yescharacteristic
514C22×C4C23×D1111yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
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—221no—
528C2×C8—221no—
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—
539C4⋊C4—222no—
540C4⋊C4—222no—
541C4⋊C4—222no—
542C22⋊C4—22no—
543C22⋊C4—114no—
544C22⋊C4—222no—
545C22⋊C4—222no—
546C22⋊C4—222no—
547C22⋊C4#431314yes—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—112no—
553C42—112no—
554C42—222no—
555C42—222no—
556C42—222no—
557C42—222no—
558C42—221no—
559C42—221no—
560C42—221no—
561C42—221no—
562C42—441no—
563C42—441no—
564C42—441no—
565C42—441no—
566C11#2201011yescharacteristic, complemented, Sylow
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—112no—
574C23—221no—
575C23—221no—
576C23—221no—
577C23—221no—
578C23—221no—
579C23—221no—
580C23C2×#431312yes—
581C23C22×C4×D1111yescharacteristic
582D4—228no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
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—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—112no—
600C2×C4—112no—
601C2×C4—112no—
602C2×C4—112no—
603C2×C4—112no—
604C2×C4—221no—
605C2×C4—221no—
606C2×C4—221no—
607C2×C4—221no—
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—221no—
619C2×C4—221no—
620C2×C4—444no—
621C2×C4—444no—
622C2×C4—444no—
623C2×C4—444no—
624C2×C4—441no—
625C2×C4—441no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4C2×#431312yes—
629C2×C4C2×#431312yes—
630C2×C4M16×D1112yes—
631C2×C4#6703711yescharacteristic
632C2×C4#6703711yescharacteristic
633C2×C4#41×D1111yescharacteristic
634C2×C4#41×D1111yescharacteristic
635C2×C4#6704211yescharacteristic
636C2×C4#6704311yescharacteristic
637C8—41no—
638C8—41no—
639C8—41no—
640C8—41no—
641C8—441no—
642C8—441no—
643C8—441no—
644C8—441no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—222no—
653C22—222no—
654C22—222no—
655C22—441no—
656C22—441no—
657C22—441no—
658C22—441no—
659C22D11×#11711yescharacteristic
660C22#1062307611yescharacteristic
661C22#1062307711yescharacteristic
662C22C22×#431311yescharacteristic
663C22C2×M16×D1111yescharacteristic
664C22D11×#13111yescharacteristic
665C22D11×#13111yescharacteristic
666C4—22no—
667C4—22no—
668C4—22no—
669C4—41no—
670C4—41no—
671C4—222no—
672C4—222no—
673C4—222no—
674C4—222no—
675C4—222no—
676C4—441no—
677C4—441no—
678C4#1062314611yescharacteristic
679C4#1062319411yescharacteristic
680C4#1062320011yescharacteristic
681C4#1062324111yescharacteristic
682C2—42no—
683C2—442no—
684C2#1307125711yescharacteristic
685C2#1307724411yescharacteristic
686C2#1307725711yescharacteristic
687C2#1307764811yescharacteristic
688C2#1307764911yescharacteristic
689C2#1307773611yescharacteristic
690C2#1307773911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#1923C2
prime radicalC22×C22⋊D11C2×C4
cosocleC22×C4×C11C24
hypercenter#1923D11
hypocenterC11#22010
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
4. #13069338C2semidirect
5. #13069336C2semidirect
6. #13069224C2semidirect
7. #13069222C2semidirect
8. #13069220C2semidirect
9. #13068683C2semidirect
10. #13068682C2semidirect
11. #13068594C2semidirect
12. #13068593C2semidirect
13. C4×Dic11⋊C8C2semidirect
14. #13068363C2semidirect
15. C11×#1923C2semidirect
230. #1923D11semidirect
566. C11#22010semidirect

Maximal subgroups

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

subgroupindex
C4×(C22⋊D11)⋊C42
#130694122
#130693382
#130693362
#130692242
#130692222
#130692202
#130686832
#130686822
#130685942
#130685932
C4×Dic11⋊C82
#130683632
C11×#19232
#2201011