Finite Group Databasebeta

← #14753887

Subgroups — #14753887

Order 2816.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623077C211yesmaximal, characteristic
2C2×#10622322C211yesmaximal, characteristic, complemented
3#13071221C211yesmaximal, characteristic, complemented
4#13068705C211yesmaximal, characteristic, complemented
5#13068701C211yesmaximal, characteristic, complemented
6#13068630C211yesmaximal, characteristic, complemented
7#13068624C211yesmaximal, characteristic, complemented
8#13068620C211yesmaximal, characteristic, complemented
9#13068614C211yesmaximal, characteristic, complemented
10#13068553C211yesmaximal, characteristic
11#13068553C211yesmaximal, characteristic
12#13068447C211yesmaximal, characteristic, complemented
13C4×#66874C211yesmaximal, characteristic, complemented
14C4×#66896C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic, complemented
16C22×#4341C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×D4×Dic11C2211yescharacteristic
19C2×C4×C22⋊D11—21no—
20C22×Dic11⋊C4—21no—
21#10623077—24no—
22#10623077C418yescomplemented
23C2×C4⋊C4×D11C2211yescharacteristic
24C2×#66940C2211yescharacteristic
25C2×(C22⋊D11)⋊C4—21no—
26C2×#66930—21no—
27C2×#66925C2211yescharacteristic
28C2×C4×Dic22C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#97C2211yescharacteristic
32C4×C11×C4⋊C4C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×(C2×D11)⋊C8C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×Dic11⋊C8C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622600C2211yescharacteristic
43#10622590C2211yescharacteristic
44#10622589C2211yescharacteristic
45C2×#66874C2211yescharacteristic
46C2×#66874C2211yescharacteristic
47#10622553—21no—
48C4×C4⋊Dic11C2211yescharacteristic
49#10622546—21no—
50C2×C4×C11⋊C8C2211yescharacteristic
51#10622322—24no—
52#10622282—21no—
53#10622265—21no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C22×C22⋊D11—21no—
65C23×Dic11—21no—
66C23×Dic11—21no—
67C2×#4341—22no—
68C2×#4341—22no—
69C2×#4341—22no—
70C2×#4341—22no—
71C2×#4341—22no—
72C2×#4341C2×C414yes—
73C22×C4×D11—21no—
74C22×C4×D11C2311yescharacteristic
75C22×Dic22C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C4×D4×C11—22no—
79C4×D4×C11C2×C414yes—
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C42×C11—21no—
85C2×C42×C11C2311yescharacteristic
86C2×C22⋊Dic11—21no—
87D4×Dic11—22no—
88D4×Dic11C2×C414yes—
89C4×C22⋊D11—28no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×(C2×D11)⋊C4D411yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—28no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4D411yescharacteristic
104C2×Dic11⋊C4D411yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C4⋊C4×D11—22no—
112C4⋊C4×D11C2×C414yes—
113#66940—22no—
114#66940C2×C414yes—
115(C22⋊D11)⋊C4—28no—
116#66930—28no—
117#66925C2×C414yes—
118#66925D414yes—
119C4×Dic22—22no—
120C4×Dic22C2×C414yes—
121C11×#102—22no—
122C11×#102—22no—
123C11×#97—22no—
124C11×#95—21no—
125#66896—22no—
126#66896—22no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132(C2×D11)⋊C8—22no—
133(C2×D11)⋊C8—22no—
134#66880—22no—
135#66880—22no—
136Dic11⋊C8—22no—
137Dic11⋊C8—22no—
138#66874—22no—
139#66874—22no—
140C4×C11⋊C8—22no—
141#20746—111nomaximal, Sylow
142C24×C11—21no—
143C23×D11C2×D411yescharacteristic
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C22×C412yes—
148C2×D4×C11#4112yes—
149C2×D4×C11#4112yes—
150C22×C4×C11—21no—
151C22×C4×C11—24no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—81no—
155C22×C4×C11—81no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—24no—
160C2×C22⋊D11—24no—
161C2×C22⋊D11—24no—
162C22×Dic11—24no—
163C22×Dic11—24no—
164C22×Dic11—24no—
165C22×Dic11—24no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—81no—
171C22×Dic11—81no—
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C22×Dic11C2×D411yescharacteristic
175#4341—28no—
176#4341—28no—
177#4341—28no—
178#4341—28no—
179C2×C4×D11—24no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C2×C4×D11C22×C412yes—
187C2×C4×D11C2×D412yes—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22C22×C412yes—
192C2×Dic22#4112yes—
193C2×Dic22#4112yes—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4C22×C412yes—
206C11×C22⋊C4—24no—
207C42×C11—81no—
208C42×C11C22×C412yes—
209C42×C11C2×D412yes—
210C22⋊Dic11—24no—
211(C2×D11)⋊C4—81no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4C22⋊C414yes—
214(C2×D11)⋊C4C22⋊C414yes—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11C22×C412yes—
221Dic11⋊C4—24no—
222Dic11⋊C4—24no—
223Dic11⋊C4—24no—
224Dic11⋊C4—81no—
225Dic11⋊C4—81no—
226Dic11⋊C4C22⋊C414yes—
227Dic11⋊C4C22⋊C414yes—
228C4×Dic11—24no—
229C4×Dic11—24no—
230C4×Dic11—81no—
231C4×Dic11C22×C412yes—
232C4×Dic11C2×D412yes—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×#520—111no—
240C2×#433—111no—
241#2314—111no—
242#1824—111no—
243#1823—111no—
244#1805—111no—
245#1804—111no—
246#1803—111no—
247#1802—111no—
248#1788—111no—
249#1788—111no—
250#1763—111no—
251#1762D1111yescharacteristic, complemented
252C4×#103—111no—
253C4×#102—111no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11C22×D411yescharacteristic
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11C2×C22⋊C412yes—
269D4×C11—22no—
270D4×C11—22no—
271D4×C11—22no—
272D4×C11#11714yes—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—84no—
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C23×C411yescharacteristic
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C22⋊D11—216no—
296C2×Dic11—216no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—84no—
316C2×Dic11C2×C22⋊C412yes—
317C2×Dic11C2×C22⋊C412yes—
318C2×Dic11C2×C22⋊C412yes—
319C4×D11—22no—
320C4×D11—22no—
321C4×D11—22no—
322C4×D11—22no—
323C4×D11—84no—
324Dic22—22no—
325Dic22—22no—
326Dic22—22no—
327Dic22#11714yes—
328C8×C11—41no—
329C8×C11—41no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C22×#41—111no—
333#520—118no—
334#520—224no—
335C2×C4×Q8—111no—
336C2×C4×Q8—111no—
337C2×C4×D4—111no—
338C2×C4×D4—221no—
339C2×C4×D4—221no—
340C2×C4×D4C2×D1111yescharacteristic
341C2×#117—111no—
342C2×#117—221no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#433—224no—
346C2×C4⋊C8—111no—
347C2×C4⋊C8—111no—
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102C2×D1111yescharacteristic
355C2×#102C2×D1111yescharacteristic
356C2×C22⋊C8—111no—
357C2×C22⋊C8—111no—
358C2×#97C2×D1111yescharacteristic
359C2×C4×C8—111no—
360#388—221no—
361#388—221no—
362#387—221no—
363#387—221no—
364#384—111no—
365#382—111no—
366#380—111no—
367#380—111no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4C2×D1111yescharacteristic
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340C2×D1111yescharacteristic
377#340C2×D1111yescharacteristic
378C22×C11—24no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11C22×C22⋊C411yescharacteristic
386C22×C11#52511yescharacteristic
387C22×C11#52511yescharacteristic
388C22×C11#57611yescharacteristic
389C22×C11#57711yescharacteristic
390C22×C11#57711yescharacteristic
391C22×C11#57811yescharacteristic
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—41no—
396C2×D11—41no—
397C2×D11—41no—
398C2×D11—41no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—42no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11C2×#11711yescharacteristic
405C4×C11C2×#11711yescharacteristic
406C4×C11#52511yescharacteristic
407C4×C11#52511yescharacteristic
408Dic11—22no—
409Dic11—22no—
410Dic11—24no—
411Dic11—22no—
412Dic11—42no—
413Dic11—81no—
414Dic11—81no—
415C2×#41—114no—
416C2×#41—222no—
417C2×#41—222no—
418C2×#41—222no—
419C2×#41—222no—
420C2×#41—222no—
421C22×Q8—111no—
422C22×D4—221no—
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—111no—
426C23×C4—221no—
427C23×C4—221no—
428C23×C4—221no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C4×Q8—114no—
434C4×Q8—114no—
435C4×Q8—222no—
436C4×Q8—222no—
437C4×D4—22no—
438C4×D4—114no—
439C4×D4—222no—
440C4×D4—228no—
441C4×D4—228no—
442C4×D4C4×D1114yes—
443#117—114no—
444#117—114no—
445#117—228no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—222no—
453C2×C4⋊C4—228no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—111no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—21no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—222no—
475C4⋊C8—222no—
476#103—222no—
477#103—222no—
478#103—222no—
479#103—222no—
480#102—22no—
481#102—22no—
482#102—222no—
483#102—222no—
484C22⋊C8—222no—
485C22⋊C8—222no—
486#97—22no—
487C4×C8—222no—
488#95—21no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494C2×C11—44no—
495C2×C11#228011yescharacteristic
496C2×C11#289711yescharacteristic
497C2×C11#289811yescharacteristic
498C2×C11#311911yescharacteristic
499C2×C11#312011yescharacteristic
500C2×C11#312411yescharacteristic
501C2×C11#312511yescharacteristic
502D11—42no—
503C24—21no—
504C24—111no—
505#41—228no—
506#41—228no—
507#41—228no—
508#41—228no—
509C2×Q8—112no—
510C2×Q8—112no—
511C2×Q8—112no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—224no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4C2×C4×D1112yes—
522C2×D4#433912yes—
523C2×D4#433912yes—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—111no—
531C22×C4—111no—
532C22×C4—111no—
533C22×C4—112no—
534C22×C4—112no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—224no—
538C22×C4—224no—
539C22×C4—224no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—881no—
549C22×C4—881no—
550C22×C4—881no—
551C22×C4—881no—
552C22×C4D4×D1111yescharacteristic
553C22×C4D4×D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—114no—
573C4⋊C4—114no—
574C4⋊C4—112no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—881no—
584C4⋊C4—881no—
585C4⋊C4C2×C4×D1112yes—
586C22⋊C4—24no—
587C22⋊C4—114no—
588C22⋊C4—114no—
589C22⋊C4—224no—
590C22⋊C4—881no—
591C22⋊C4—881no—
592C42—81no—
593C42—112no—
594C42—112no—
595C42—224no—
596C42—224no—
597C42—881no—
598C42C2×C4×D1112yes—
599C42D4×D1112yes—
600C11#2074611yescharacteristic, complemented, Sylow
601C23—22no—
602C23—22no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—112no—
609C23—221no—
610C23—221no—
611C23—221no—
612C23—221no—
613C23—221no—
614C23—221no—
615C23C2×D4×D1111yescharacteristic
616Q8—114no—
617Q8—222no—
618Q8—222no—
619Q8—222no—
620D4—22no—
621D4—22no—
622D4—22no—
623D4—2216no—
624D4#6692514yes—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—84no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—2216no—
643C2×C4—222no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—884no—
666C2×C4—884no—
667C2×C4C22⋊C4×D1112yes—
668C2×C4C22⋊C4×D1112yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4C2×#433911yescharacteristic
671C2×C4C2×#433911yescharacteristic
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4#41×D1111yescharacteristic
674C2×C4#41×D1111yescharacteristic
675C8—41no—
676C8—41no—
677C8—441no—
678C8—441no—
679C22—24no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—222no—
687C22—222no—
688C22—222no—
689C22—441no—
690C22—441no—
691C22—441no—
692C22—441no—
693C22C2×C22⋊C4×D1111yescharacteristic
694C22#1062307811yescharacteristic
695C22#1062307811yescharacteristic
696C22#1062330511yescharacteristic
697C22#1062330611yescharacteristic
698C22#1062330611yescharacteristic
699C22#1062331011yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—222no—
706C4—224no—
707C4—222no—
708C4—222no—
709C4—442no—
710C4—881no—
711C4—881no—
712C4C2×#6692511yescharacteristic
713C4D11×#11711yescharacteristic
714C4#1062307811yescharacteristic
715C4#1062307811yescharacteristic
716C2—44no—
717C2—442no—
718C2#1307099711yescharacteristic
719C2#1307714111yescharacteristic
720C2#1307714711yescharacteristic
721C2#1307881911yescharacteristic
722C2#1307883411yescharacteristic
723C2#1307888211yescharacteristic
724C2#1307889711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1762C2
socleC23×C11C22×D4
prime radicalC22×#4341C22
cosocleC22×C4×C11C24
hypercenter#1762D11
hypocenterC11#20746
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#10622322C2semidirect
3. #13071221C2semidirect
4. #13068705C2semidirect
5. #13068701C2semidirect
6. #13068630C2semidirect
7. #13068624C2semidirect
8. #13068620C2semidirect
9. #13068614C2semidirect
12. #13068447C2semidirect
13. C4×#66874C2semidirect
14. C4×#66896C2semidirect
15. C11×#1762C2semidirect
22. #10623077C4semidirect
251. #1762D11semidirect
600. C11#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#106230772
C2×#106223222
#130712212
#130687052
#130687012
#130686302
#130686242
#130686202
#130686142
#130685532
#130684472
C4×#668742
C4×#668962
C11×#17622
#2074611