Finite Group Databasebeta

← #14685020

Subgroups — #14685020

Order 2816.

3366 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66991C211yesmaximal, characteristic
2C22×C42×D11C211yesmaximal, characteristic, complemented
3C2×#10622834C211yesmaximal, characteristic, complemented
4C2×#10622569C214yesmaximal, complemented
5C2×#10622600C211yesmaximal, characteristic, complemented
6#13066853C214yesmaximal, complemented
7#13066846C211yesmaximal, characteristic, complemented
8#13066845C211yesmaximal, characteristic, complemented
9C2×C11×#390C211yesmaximal, characteristic, complemented
10C23×D4×C11C2211yescharacteristic
11C23×C22⋊D11C2212yes—
12C23×C4×D11C2212yes—
13C23×C4×D11C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4C2214yes—
16C22×C42×C11C2211yescharacteristic
17C22×C22⋊Dic11C2214yes—
18C22×C22⋊Dic11C2212yes—
19C2×#66991—24no—
20C2×#66991—24no—
21C2×#66991C418yescomplemented
22C22×(C2×D11)⋊C4C2212yes—
23C22×C4⋊Dic11C2211yescharacteristic
24C22×C4⋊Dic11C2211yescharacteristic
25C22×C4×Dic11C2212yes—
26C22×C4×Dic11C2211yescharacteristic
27C2×C42×D11—24no—
28C2×C42×D11—24no—
29C2×C42×D11—24no—
30C11×#390—24no—
31#10622834—24no—
32C2×C11⋊#95C2214yes—
33C2×C11⋊#95C2214yes—
34C2×C11⋊#95C2212yes—
35#10622600—24no—
36#10622569—216no—
37C25×C11C2312yes—
38C24×D11C2311yescharacteristic
39C22×D4×C11—22no—
40C22×D4×C11—22no—
41C22×D4×C11—22no—
42C22×D4×C11—22no—
43C22×D4×C11—22no—
44C22×D4×C11—22no—
45C22×D4×C11C2×C414yescomplemented
46C23×C4×C11C2312yes—
47C23×C4×C11C2312yes—
48C23×C4×C11C2311yescharacteristic
49C22×C22⋊D11—24no—
50C22×C22⋊D11—24no—
51C22×C22⋊D11—28no—
52C22×C22⋊D11—28no—
53C22×C22⋊D11C2×C418yes—
54C23×Dic11C2312yes—
55C23×Dic11C2312yes—
56C23×Dic11C2311yescharacteristic
57C23×Dic11C2312yes—
58C22×C4×D11—24no—
59C22×C4×D11—24no—
60C22×C4×D11—22no—
61C22×C4×D11—24no—
62C22×C4×D11—22no—
63C22×C4×D11—22no—
64C22×C4×D11—24no—
65C22×C4×D11—22no—
66C22×C4×D11—24no—
67C22×C4×D11—24no—
68C22×C4×D11C2×C414yes—
69C22×C4×D11D414yes—
70C22×C4×D11D414yes—
71C22×C4×D11D418yescomplemented
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—22no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C22⋊C4—28no—
76C2×C11×C22⋊C4—28no—
77C2×C11×C22⋊C4—28no—
78C2×C42×C11—22no—
79C2×C42×C11—22no—
80C2×C42×C11D414yescomplemented
81C2×C22⋊Dic11—24no—
82C2×C22⋊Dic11—24no—
83C2×C22⋊Dic11—28no—
84C2×C22⋊Dic11—28no—
85C2×C22⋊Dic11—28no—
86C2×C22⋊Dic11C2×C418yescomplemented
87#66991—232no—
88C2×(C2×D11)⋊C4—28no—
89C2×(C2×D11)⋊C4—24no—
90C2×C4⋊Dic11—22no—
91C2×C4⋊Dic11—22no—
92C2×C4⋊Dic11—22no—
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11C2×C414yescomplemented
96C2×C4×Dic11—22no—
97C2×C4×Dic11—24no—
98C2×C4×Dic11—22no—
99C2×C4×Dic11—24no—
100C2×C4×Dic11—24no—
101C2×C4×Dic11D414yescomplemented
102C42×D11—232no—
103C11⋊#95—28no—
104C11⋊#95—28no—
105C11⋊#95—24no—
106#14698—111nomaximal, Sylow
107C24×C11—22no—
108C24×C11—24no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—24no—
113C24×C11—24no—
114C24×C11—24no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11C22×C414yes—
118C24×C11C2411yescharacteristic
119C23×D11—21no—
120C23×D11—21no—
121C23×D11—21no—
122C23×D11—21no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11C22×C412yes—
126C23×D11C2×D412yes—
127C23×D11C2×D412yes—
128C23×D11C2×D414yes—
129C23×D11#4114yes—
130C2×D4×C11—28no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—44no—
134C2×D4×C11—44no—
135C2×D4×C11—44no—
136C2×D4×C11—44no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—24no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—24no—
145C22×C4×C11—22no—
146C22×C4×C11C22×C412yes—
147C22×C4×C11C2×D414yes—
148C22×C4×C11C2×D414yes—
149C22×C4×C11C2×D412yes—
150C22×C4×C11C2×D412yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11C2×D412yes—
153C22×C4×C11#4114yes—
154C22×C4×C11#4112yes—
155C22×C4×C11#4112yes—
156C2×C22⋊D11—216no—
157C2×C22⋊D11—232no—
158C2×C22⋊D11—416no—
159C2×C22⋊D11—48no—
160C2×C22⋊D11—48no—
161C22×Dic11—22no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—22no—
165C22×Dic11—24no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—24no—
170C22×Dic11—22no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—24no—
176C22×Dic11—22no—
177C22×Dic11—24no—
178C22×Dic11C22×C414yes—
179C22×Dic11C22×C412yes—
180C22×Dic11C2×D412yes—
181C22×Dic11C2×D412yes—
182C22×Dic11C2×D414yes—
183C22×Dic11C2×D414yes—
184C22×Dic11#4114yes—
185C2×C4×D11—216no—
186C2×C4×D11—216no—
187C2×C4×D11—216no—
188C2×C4×D11—216no—
189C2×C4×D11—216no—
190C2×C4×D11—216no—
191C2×C4×D11—28no—
192C2×C4×D11—28no—
193C2×C4×D11—28no—
194C2×C4×D11—28no—
195C2×C4×D11—28no—
196C2×C4×D11—216no—
197C2×C4×D11—28no—
198C2×C4×D11C22⋊C4116yescomplemented
199C11×C4⋊C4—44no—
200C11×C22⋊C4—416no—
201C42×C11—28no—
202C22⋊Dic11—216no—
203C22⋊Dic11—416no—
204(C2×D11)⋊C4—48no—
205C4⋊Dic11—28no—
206C4⋊Dic11—44no—
207C4×Dic11—216no—
208C4×Dic11—28no—
209C22×#121—111no—
210C23×C42—111no—
211C2×#390—111no—
212C2×#390D1111yescharacteristic, complemented
213C2×#386—114no—
214C2×#380—111no—
215#1437—114no—
216C4⋊#95—111no—
217C4⋊#95—111no—
218C23×C11—24no—
219C23×C11—28no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—28no—
223C23×C11—42no—
224C23×C11—44no—
225C23×C11—44no—
226C23×C11—44no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—44no—
231C23×C11—44no—
232C23×C11—44no—
233C23×C11—42no—
234C23×C11—44no—
235C23×C11—44no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—42no—
241C23×C11C23×C411yescharacteristic
242C23×C11C22×D411yescharacteristic
243C23×C11C22×D411yescharacteristic
244C23×C11C22×D411yescharacteristic
245C23×C11C22×D412yes—
246C23×C11C22×D411yescharacteristic
247C23×C11C2×#4111yescharacteristic
248C23×C11C2×#4111yescharacteristic
249C23×C11C2×#4112yes—
250C23×C11C2×#4112yes—
251C23×C11C2×#4112yes—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—24no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—24no—
258C22×D11—22no—
259C22×D11—24no—
260C22×D11—22no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—22no—
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—22no—
270C22×D11C2×C22⋊C414yes—
271C22×D11C4×D418yes—
272C22×D11#12118yes—
273C22×D11#12414yes—
274C22×D11#12714yes—
275D4×C11—416no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—44no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—44no—
287C2×C4×C11C2×C22⋊C414yes—
288C2×C4×C11C4×D414yes—
289C2×C4×C11C4×D414yes—
290C2×C4×C11#12014yes—
291C2×C4×C11#12114yes—
292C2×C4×C11#12114yes—
293C2×C4×C11#12118yescomplemented
294C2×C4×C11#12314yes—
295C22⋊D11—432no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—24no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—22no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—28no—
310C2×Dic11—44no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—44no—
315C2×Dic11—42no—
316C2×Dic11—44no—
317C2×Dic11—42no—
318C2×Dic11C2×C22⋊C414yes—
319C2×Dic11#12118yescomplemented
320C4×D11—264no—
321C4×D11—232no—
322C23×D4—112no—
323C23×D4C2×D1111yescharacteristic
324C24×C4—111no—
325C24×C4—112no—
326C2×#121—118no—
327C2×#121—224no—
328C2×#121—224no—
329C22×C4⋊C4—111no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4C2×D1111yescharacteristic
332C22×C22⋊C4—112no—
333C22×C22⋊C4—114no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4C2×D1114yes—
336C22×C42—111no—
337C22×C42—112no—
338C22×C42—224no—
339C22×C42—224no—
340C22×C42—224no—
341C22×C42C2×D1111yescharacteristic
342#390—24no—
343#390—224no—
344#386—2216no—
345#380—224no—
346C2×#95—114no—
347C2×#95—114no—
348C2×#95—112no—
349C22×C11—44no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—48no—
353C22×C11—48no—
354C22×C11—84no—
355C22×C11—82no—
356C22×C11—82no—
357C22×C11—84no—
358C22×C11—82no—
359C22×C11—82no—
360C22×C11C22×C22⋊C411yescharacteristic
361C22×C11C2×C4×D411yescharacteristic
362C22×C11C2×C4×D411yescharacteristic
363C22×C11C2×C4×D412yes—
364C22×C11C4×#4112yes—
365C22×C11C2×#12011yescharacteristic
366C22×C11C2×#12111yescharacteristic
367C22×C11C2×#12112yes—
368C22×C11C2×#12111yescharacteristic
369C22×C11C2×#12112yes—
370C22×C11C2×#12112yes—
371C22×C11C2×#12311yescharacteristic
372C22×C11#52512yes—
373C22×C11#52512yes—
374C22×C11#52512yes—
375C22×C11C2×#12411yescharacteristic
376C22×C11#52912yes—
377C22×C11#52912yes—
378C22×C11C2×#12711yescharacteristic
379C22×C11#53211yescharacteristic
380C22×C11#53212yes—
381C22×C11#53212yes—
382C22×C11#53211yescharacteristic
383C2×D11—28no—
384C2×D11—24no—
385C2×D11—24no—
386C2×D11—28no—
387C2×D11—24no—
388C2×D11—24no—
389C2×D11—24no—
390C2×D11—24no—
391C2×D11—28no—
392C2×D11—28no—
393C2×D11#39018yescomplemented
394C4×C11—28no—
395C4×C11—82no—
396C4×C11#38618yescomplemented
397Dic11—28no—
398Dic11—24no—
399Dic11—44no—
400Dic11—82no—
401C25—111no—
402C25C22×D1112yes—
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—118no—
410C22×D4—224no—
411C22×D4—224no—
412C22×D4—228no—
413C22×D4—228no—
414C22×D4C4×D1114yescomplemented
415C23×C4—111no—
416C23×C4—112no—
417C23×C4—114no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4—112no—
421C23×C4—118no—
422C23×C4—112no—
423C23×C4—224no—
424C23×C4—224no—
425C23×C4—224no—
426C23×C4—224no—
427C23×C4—222no—
428C23×C4—222no—
429C23×C4—224no—
430C23×C4—222no—
431C23×C4—224no—
432C23×C4—222no—
433C23×C4C22×D1112yes—
434C23×C4C22×D1112yes—
435C23×C4C22×D1111yescharacteristic
436#121—2232no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—222no—
444C2×C4⋊C4—222no—
445C2×C4⋊C4—222no—
446C2×C22⋊C4—28no—
447C2×C22⋊C4—28no—
448C2×C22⋊C4—28no—
449C2×C22⋊C4—118no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—228no—
454C2×C22⋊C4—228no—
455C2×C22⋊C4—228no—
456C2×C22⋊C4—228no—
457C2×C42—22no—
458C2×C42—22no—
459C2×C42—114no—
460C2×C42—2232no—
461C2×C42—224no—
462C2×C42—224no—
463C2×C42—222no—
464C2×C42—224no—
465C2×C42—222no—
466C2×C42C22⋊D1114yescomplemented
467#95—224no—
468#95—228no—
469#95—228no—
470C2×C11—84no—
471C2×C11C2×#38611yescharacteristic
472C2×C11C2×#39011yescharacteristic
473C2×C11#229711yescharacteristic
474C2×C11C4×#12112yes—
475C2×C11C4×#12112yes—
476C2×C11#284712yes—
477C2×C11#285011yescharacteristic
478C2×C11#285011yescharacteristic
479C2×C11#285412yes—
480C2×C11#285611yescharacteristic
481C2×C11#285611yescharacteristic
482D11—28no—
483C24—22no—
484C24—24no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—24no—
489C24—22no—
490C24—24no—
491C24—24no—
492C24—22no—
493C24—112no—
494C24—112no—
495C24—114no—
496C24—112no—
497C24—114no—
498C24—221no—
499C24—221no—
500C24—221no—
501C24—222no—
502C24—222no—
503C24—221no—
504C24C2×C4×D1114yes—
505C24C23×D1111yescharacteristic
506C2×D4—28no—
507C2×D4—28no—
508C2×D4—28no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—44no—
513C2×D4—2216no—
514C2×D4—2232no—
515C2×D4—448no—
516C2×D4—4416no—
517C2×D4—448no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—112no—
532C22×C4—114no—
533C22×C4—1116no—
534C22×C4—114no—
535C22×C4—2216no—
536C22×C4—2216no—
537C22×C4—2216no—
538C22×C4—2216no—
539C22×C4—2216no—
540C22×C4—2216no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—222no—
544C22×C4—221no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—221no—
548C22×C4—222no—
549C22×C4—228no—
550C22×C4—228no—
551C22×C4—228no—
552C22×C4—228no—
553C22×C4—228no—
554C22×C4—228no—
555C22×C4—2216no—
556C22×C4—224no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—224no—
560C22×C4—222no—
561C22×C4—224no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—224no—
565C22×C4C2×C4×D1112yes—
566C22×C4#433912yes—
567C22×C4D4×D1114yes—
568C22×C4D4×D1112yes—
569C22×C4D4×D1112yes—
570C22×C4D4×D1112yes—
571C22×C4#434114yes—
572C22×C4#434112yes—
573C22×C4C2×C22⋊D1114yes—
574C22×C4C2×C22⋊D1112yes—
575C4⋊C4—44no—
576C4⋊C4—228no—
577C4⋊C4—444no—
578C22⋊C4—416no—
579C22⋊C4—2216no—
580C22⋊C4—448no—
581C22⋊C4—4416no—
582C42—28no—
583C42—2216no—
584C42—228no—
585C11#1469811yescharacteristic, complemented, Sylow
586C23—24no—
587C23—24no—
588C23—24no—
589C23—28no—
590C23—28no—
591C23—42no—
592C23—44no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—44no—
609C23—114no—
610C23—114no—
611C23—118no—
612C23—118no—
613C23—114no—
614C23—224no—
615C23—222no—
616C23—222no—
617C23—222no—
618C23—222no—
619C23—222no—
620C23—224no—
621C23—222no—
622C23—224no—
623C23—222no—
624C23—224no—
625C23—224no—
626C23—224no—
627C23—224no—
628C23—224no—
629C23—224no—
630C23—222no—
631C23—224no—
632C23C22×C4×D1111yescharacteristic
633C23C2×#433911yescharacteristic
634C23C2×D4×D1111yescharacteristic
635C23C2×D4×D1112yes—
636C23C2×D4×D1111yescharacteristic
637C23C2×D4×D1111yescharacteristic
638C23C2×#434111yescharacteristic
639C23C2×#434112yes—
640C23#41×D1112yes—
641C23#41×D1112yes—
642C23C22×C22⋊D1111yescharacteristic
643D4—416no—
644D4—4432no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—114no—
657C2×C4—118no—
658C2×C4—2264no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—224no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—222no—
667C2×C4—224no—
668C2×C4—224no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—2232no—
672C2×C4—224no—
673C2×C4—228no—
674C2×C4—442no—
675C2×C4—444no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—444no—
680C2×C4—444no—
681C2×C4—442no—
682C2×C4C22⋊C4×D1114yes—
683C2×C4(C22⋊D11)⋊C414yes—
684C2×C4#6693614yes—
685C2×C4#6693714yes—
686C2×C4C4×C22⋊D1114yes—
687C2×C4#6699014yes—
688C2×C4#6699114yes—
689C2×C4#6699118yescomplemented
690C22—48no—
691C22—48no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—84no—
696C22—82no—
697C22—82no—
698C22—84no—
699C22—82no—
700C22—82no—
701C22—118no—
702C22—228no—
703C22—228no—
704C22—228no—
705C22—224no—
706C22—224no—
707C22—224no—
708C22—228no—
709C22—224no—
710C22—224no—
711C22—224no—
712C22C2×C22⋊C4×D1111yescharacteristic
713C22C2×(C22⋊D11)⋊C411yescharacteristic
714C22C2×#6693611yescharacteristic
715C22C2×#6693711yescharacteristic
716C22C4×#434112yes—
717C22C4×D4×D1112yes—
718C22#1062307912yes—
719C22#1062308812yes—
720C22D11×#12112yes—
721C22D11×#12112yes—
722C22#1062313712yes—
723C22#1062313712yes—
724C22#1062319911yescharacteristic
725C22D11×#12411yescharacteristic
726C22#1062321112yes—
727C22D11×#12711yescharacteristic
728C22#1062324712yes—
729C22#1062324711yescharacteristic
730C22C2×C4×C22⋊D1111yescharacteristic
731C22C2×#6699011yescharacteristic
732C22C2×#6699112yes—
733C22C2×#6699111yescharacteristic
734C22#1062335912yes—
735C4—28no—
736C4—82no—
737C4—228no—
738C4—224no—
739C4—444no—
740C4—882no—
741C4#1062256918yescomplemented
742C2—84no—
743C2—228no—
744C2C2×#1062256911yescharacteristic
745C2D11×#39011yescharacteristic
746C2#1307110311yescharacteristic
747C2C4×#6699112yes—
748C2#1307113212yes—
749C2#1307689512yes—
750C2#1307691211yescharacteristic
751C2#1307691611yescharacteristic
752C2#1307694612yes—
753C2#1307695811yescharacteristic
754C2#1307696011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#390C2
socle, cosocleC24×C11C24
prime radicalC22×#66991C2
hypercenterC2×#390D11
hypocenterC11#14698
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×C42×D11C2semidirect
3. C2×#10622834C2semidirect
4. C2×#10622569C2semidirect
5. C2×#10622600C2semidirect
6. #13066853C2semidirect
7. #13066846C2semidirect
8. #13066845C2semidirect
9. C2×C11×#390C2semidirect
21. C2×#66991C4semidirect
45. C22×D4×C11C2×C4semidirect
71. C22×C4×D11D4semidirect
80. C2×C42×C11D4semidirect
86. C2×C22⋊Dic11C2×C4semidirect
95. C2×C4⋊Dic11C2×C4semidirect
101. C2×C4×Dic11D4semidirect
198. C2×C4×D11C22⋊C4semidirect
212. C2×#390D11semidirect
293. C2×C4×C11#121semidirect
319. C2×Dic11#121semidirect
393. C2×D11#390semidirect
396. C4×C11#386semidirect
414. C22×D4C4×D11semidirect
466. C2×C42C22⋊D11semidirect
585. C11#14698semidirect
689. C2×C4#66991semidirect
741. C4#10622569semidirect

Maximal subgroups

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

subgroupindex
C22×#669912
C22×C42×D112
C2×#106228342
C2×#106225692
C2×#106226002
#130668532
#130668462
#130668452
C2×C11×#3902
#1469811