Finite Group Databasebeta

← #14660725

Subgroups — #14660725

Order 2816.

1326 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66896C211yesmaximal, characteristic
2C2×#10622834C211yesmaximal, characteristic
3C2×#10622589C211yesmaximal, characteristic, complemented
4C2×#10622189C211yesmaximal, characteristic, complemented
5C2×#10622167C211yesmaximal, characteristic, complemented
6C2×#10622188C211yesmaximal, characteristic, complemented
7C22×C11×#102C211yesmaximal, characteristic
8C23×D4×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C22⋊Dic11—22no—
12C22×C4⋊Dic11C2211yescharacteristic
13C22×C4⋊Dic11C2211yescharacteristic
14C22×Dic11⋊C4—22no—
15C22×C4×Dic11C2211yescharacteristic
16C23×C11⋊C8C2211yescharacteristic
17C2×C11×#102—22no—
18C2×C11×#102—22no—
19C2×C11×#102—22no—
20#10622834—22no—
21#10622834C414yescomplemented
22C2×#66896—22no—
23C2×#66896—22no—
24C2×#66896—22no—
25#10622589—22no—
26#10622589—22no—
27#10622189—22no—
28#10622188—22no—
29#10622167—22no—
30C25×C11—21no—
31C22×D4×C11—21no—
32C22×D4×C11—21no—
33C22×D4×C11—21no—
34C22×D4×C11—21no—
35C22×D4×C11—21no—
36C22×D4×C11—21no—
37C22×D4×C11—21no—
38C22×D4×C11—21no—
39C22×D4×C11—21no—
40C22×D4×C11—21no—
41C22×D4×C11—21no—
42C22×D4×C11C2×C412yes—
43C22×D4×C11D412yes—
44C22×D4×C11Q812yes—
45C23×C4×C11—21no—
46C23×C4×C11C2311yescharacteristic
47C23×Dic11—21no—
48C23×Dic11—21no—
49C23×Dic11D412yes—
50C22×C8×C11—21no—
51C22×C8×C11—21no—
52C22×C8×C11—21no—
53C22×C8×C11—21no—
54C22×C8×C11—21no—
55C22×C8×C11—21no—
56C22×C8×C11D412yes—
57C2×C11×C4⋊C4—21no—
58C2×C11×C4⋊C4—21no—
59C2×C11×C4⋊C4—21no—
60C2×C11×C4⋊C4—21no—
61C2×C11×C4⋊C4—21no—
62C2×C11×C4⋊C4D412yes—
63C2×C22⋊Dic11—28no—
64C2×C22⋊Dic11—44no—
65C2×C22⋊Dic11—44no—
66C2×C4⋊Dic11—21no—
67C2×C4⋊Dic11—21no—
68C2×C4⋊Dic11—21no—
69C2×C4⋊Dic11—21no—
70C2×C4⋊Dic11—21no—
71C2×C4⋊Dic11—21no—
72C2×C4⋊Dic11—21no—
73C2×C4⋊Dic11—21no—
74C2×C4⋊Dic11—21no—
75C2×C4⋊Dic11—21no—
76C2×C4⋊Dic11C2×C412yes—
77C2×C4⋊Dic11D412yes—
78C2×Dic11⋊C4—28no—
79C2×Dic11⋊C4—44no—
80C2×Dic11⋊C4—44no—
81C2×C4×Dic11—21no—
82C2×C4×Dic11—21no—
83C2×C4×Dic11—21no—
84C2×C4×Dic11—21no—
85C2×C4×Dic11C2×C412yes—
86C2×C4×Dic11D412yes—
87C22×C11⋊C8—21no—
88C22×C11⋊C8—21no—
89C22×C11⋊C8—21no—
90C22×C11⋊C8—21no—
91C22×C11⋊C8—21no—
92C22×C11⋊C8—21no—
93C22×C11⋊C8D412yes—
94C11×#102—28no—
95#66896—28no—
96#11049—111nomaximal, Sylow
97C24×C11—22no—
98C24×C11—22no—
99C24×C11—22no—
100C24×C11—41no—
101C24×C11—41no—
102C24×C11—41no—
103C24×C11—41no—
104C24×C11—42no—
105C24×C11—42no—
106C24×C11—42no—
107C24×C11—42no—
108C24×C11C2×D411yescharacteristic
109C2×D4×C11—22no—
110C2×D4×C11—22no—
111C2×D4×C11—22no—
112C2×D4×C11—22no—
113C2×D4×C11—22no—
114C2×D4×C11—22no—
115C2×D4×C11—22no—
116C2×D4×C11—22no—
117C2×D4×C11—22no—
118C2×D4×C11—22no—
119C2×D4×C11—22no—
120C2×D4×C11—22no—
121C2×D4×C11—22no—
122C2×D4×C11—22no—
123C2×D4×C11—22no—
124C2×D4×C11—41no—
125C2×D4×C11—41no—
126C2×D4×C11—41no—
127C2×D4×C11—41no—
128C2×D4×C11—41no—
129C2×D4×C11—41no—
130C2×D4×C11—41no—
131C2×D4×C11—41no—
132C2×D4×C11—41no—
133C2×D4×C11—41no—
134C2×D4×C11—41no—
135C2×D4×C11—41no—
136C2×D4×C11C4⋊C414yescomplemented
137C22×C4×C11—22no—
138C22×C4×C11—41no—
139C22×C4×C11—41no—
140C22×C4×C11—42no—
141C22×C4×C11—42no—
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C2×D411yescharacteristic
144C22×C4×C11C2×D411yescharacteristic
145C22×C4×C11C2×D411yescharacteristic
146C22×C4×C11C2×D411yescharacteristic
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11C2×Q811yescharacteristic
150C22×C4×C11#4111yescharacteristic
151C22×C4×C11#4111yescharacteristic
152C22×C4×C11#4111yescharacteristic
153C22×C4×C11#4111yescharacteristic
154C22×C4×C11#4111yescharacteristic
155C22×C4×C11#4111yescharacteristic
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—41no—
163C22×Dic11—41no—
164C22×Dic11—41no—
165C22×Dic11—41no—
166C22×Dic11—42no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11—42no—
170C22×Dic11C22⋊C414yes—
171C22×Dic11D814yes—
172C22×Dic11SD1614yes—
173C2×C8×C11—22no—
174C2×C8×C11—22no—
175C2×C8×C11—22no—
176C2×C8×C11—41no—
177C2×C8×C11—41no—
178C2×C8×C11—41no—
179C2×C8×C11—41no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—41no—
183C11×C4⋊C4—41no—
184C22⋊Dic11—416no—
185C4⋊Dic11—22no—
186C4⋊Dic11—22no—
187C4⋊Dic11—22no—
188C4⋊Dic11—22no—
189C4⋊Dic11—41no—
190C4⋊Dic11—41no—
191C4⋊Dic11—41no—
192C4⋊Dic11—41no—
193Dic11⋊C4—416no—
194C4×Dic11—22no—
195C4×Dic11—22no—
196C4×Dic11—22no—
197C4×Dic11—22no—
198C2×C11⋊C8—22no—
199C2×C11⋊C8—22no—
200C2×C11⋊C8—22no—
201C2×C11⋊C8—41no—
202C2×C11⋊C8—41no—
203C2×C11⋊C8—41no—
204C2×C11⋊C8—41no—
205C22×#102—111no—
206C22×#102D1111yescharacteristic
207C2×#390—111no—
208C2×#384—111no—
209C2×#340—111no—
210C2×#340—111no—
211C2×#336—111no—
212C23×C11—24no—
213C23×C11—42no—
214C23×C11—42no—
215C23×C11—42no—
216C23×C11—42no—
217C23×C11—42no—
218C23×C11—42no—
219C23×C11—44no—
220C23×C11—44no—
221C23×C11—44no—
222C23×C11—44no—
223C23×C11—44no—
224C23×C11—44no—
225C23×C11—82no—
226C23×C11—82no—
227C23×C11—82no—
228C23×C11—82no—
229C23×C11—82no—
230C23×C11—82no—
231C23×C11—81no—
232C23×C11—81no—
233C23×C11—81no—
234C23×C11—81no—
235C23×C11C2×C22⋊C411yescharacteristic
236C23×C11#12011yescharacteristic
237C23×C11#12111yescharacteristic
238C23×C11C22⋊Q811yescharacteristic
239C23×C11#12311yescharacteristic
240C23×C11#12411yescharacteristic
241C23×C11#12711yescharacteristic
242C23×C11C2×D812yes—
243C23×C11C2×SD1612yes—
244C23×C11AGL(1,ℤ/8)12yes—
245C23×C11#13712yes—
246D4×C11—24no—
247D4×C11—24no—
248D4×C11—42no—
249D4×C11—42no—
250D4×C11—42no—
251D4×C11—42no—
252D4×C11—42no—
253D4×C11—42no—
254C2×C4×C11—42no—
255C2×C4×C11—44no—
256C2×C4×C11—82no—
257C2×C4×C11—81no—
258C2×C4×C11—81no—
259C2×C4×C11C2×C4⋊C411yescharacteristic
260C2×C4×C11#11711yescharacteristic
261C2×C4×C11C4×D411yescharacteristic
262C2×C4×C11C4×D411yescharacteristic
263C2×C4×C11C4×D411yescharacteristic
264C2×C4×C11C4×D411yescharacteristic
265C2×C4×C11#12011yescharacteristic
266C2×C4×C11#12011yescharacteristic
267C2×C4×C11#12111yescharacteristic
268C2×C4×C11#12111yescharacteristic
269C2×C4×C11#12111yescharacteristic
270C2×C4×C11#12111yescharacteristic
271C2×C4×C11#12111yescharacteristic
272C2×C4×C11#12111yescharacteristic
273C2×C4×C11#12111yescharacteristic
274C2×C4×C11C22⋊Q811yescharacteristic
275C2×C4×C11C22⋊Q811yescharacteristic
276C2×C4×C11C22⋊Q811yescharacteristic
277C2×C4×C11C22⋊Q811yescharacteristic
278C2×C4×C11C22⋊Q811yescharacteristic
279C2×C4×C11#12311yescharacteristic
280C2×C4×C11#12311yescharacteristic
281C2×C4×C11#12311yescharacteristic
282C2×C4×C11#12311yescharacteristic
283C2×C4×C11#12411yescharacteristic
284C2×C4×C11#12411yescharacteristic
285C2×C4×C11#12611yescharacteristic
286C2×C4×C11#12611yescharacteristic
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—42no—
294C2×Dic11—42no—
295C2×Dic11—44no—
296C2×Dic11—44no—
297C2×Dic11—82no—
298C2×Dic11—82no—
299C2×Dic11—81no—
300C2×Dic11—81no—
301C2×Dic11—81no—
302C2×Dic11—81no—
303C2×Dic11#10218yescomplemented
304C8×C11—42no—
305C11⋊C8—42no—
306C23×D4C2×D1111yescharacteristic
307C23×C8—111no—
308C23×C8C2×D1111yescharacteristic
309C22×C4⋊C4—111no—
310C22×C4⋊C4—111no—
311C22×C4⋊C4—222no—
312C22×C4⋊C4C2×D1111yescharacteristic
313C22×C22⋊C4—222no—
314C22×C42—111no—
315C2×#102—22no—
316C2×#102—22no—
317C2×#102—22no—
318C2×#102—222no—
319C2×#102—222no—
320C2×#102—222no—
321#390—114no—
322#390—222no—
323#384—222no—
324#384—222no—
325#340—222no—
326#340—222no—
327#336—222no—
328C22×C11—48no—
329C22×C11—44no—
330C22×C11—84no—
331C22×C11—82no—
332C22×C11—82no—
333C22×C11—84no—
334C22×C11—82no—
335C22×C11—82no—
336C22×C11—82no—
337C22×C11—82no—
338C22×C11—84no—
339C22×C11#38011yescharacteristic
340C22×C11#38611yescharacteristic
341C22×C11#39011yescharacteristic
342C22×C11#39211yescharacteristic
343C22×C11#39311yescharacteristic
344C22×C11#39711yescharacteristic
345C22×C11#39911yescharacteristic
346C22×C11C2×#10212yes—
347C22×C11#41712yes—
348C22×C11#44712yes—
349C22×C11#44812yes—
350C22×C11#45912yes—
351C22×C11#46112yes—
352C22×C11#47412yes—
353C22×C11#47612yes—
354C22×C11#48012yes—
355C22×C11#48112yes—
356C22×C11#48612yes—
357C22×C11#48912yes—
358C22×C11#49211yescharacteristic
359C22×C11#49311yescharacteristic
360C22×C11#49611yescharacteristic
361C22×C11#49711yescharacteristic
362C4×C11—82no—
363C4×C11#38511yescharacteristic
364C4×C11#38511yescharacteristic
365C4×C11#38811yescharacteristic
366C4×C11#38811yescharacteristic
367C4×C11#39411yescharacteristic
368C4×C11#39411yescharacteristic
369C4×C11#39611yescharacteristic
370C4×C11#39611yescharacteristic
371Dic11—28no—
372Dic11—82no—
373Dic11—82no—
374C25—21no—
375C22×D4—21no—
376C22×D4—21no—
377C22×D4—21no—
378C22×D4—21no—
379C22×D4—21no—
380C22×D4—21no—
381C22×D4—21no—
382C22×D4—21no—
383C22×D4—21no—
384C22×D4—21no—
385C22×D4—21no—
386C22×D4Dic2212yes—
387C22×D4C4×D1112yes—
388C22×D4C22⋊D1112yes—
389C23×C4—21no—
390C23×C4—112no—
391C23×C4—221no—
392C23×C4—221no—
393C23×C4C22×D1111yescharacteristic
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C22×C8—21no—
398C22×C8—21no—
399C22×C8—21no—
400C22×C8—112no—
401C22×C8—221no—
402C22×C8—221no—
403C22×C8—221no—
404C22×C8—221no—
405C22×C8—221no—
406C22×C8—221no—
407C22×C8C22⋊D1112yes—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—112no—
414C2×C4⋊C4—112no—
415C2×C4⋊C4—221no—
416C2×C4⋊C4—221no—
417C2×C4⋊C4—221no—
418C2×C4⋊C4—221no—
419C2×C4⋊C4—221no—
420C2×C4⋊C4—221no—
421C2×C4⋊C4—221no—
422C2×C4⋊C4—221no—
423C2×C4⋊C4—228no—
424C2×C4⋊C4—221no—
425C2×C4⋊C4—221no—
426C2×C4⋊C4—444no—
427C2×C4⋊C4—444no—
428C2×C4⋊C4C22⋊D1112yes—
429C2×C22⋊C4—228no—
430C2×C22⋊C4—444no—
431C2×C22⋊C4—444no—
432C2×C42—112no—
433C2×C42—112no—
434C2×C42—221no—
435C2×C42—221no—
436C2×C42—221no—
437C2×C42—221no—
438#102—28no—
439#102—228no—
440C2×C11—84no—
441C2×C11#143911yescharacteristic
442C2×C11#180212yes—
443C2×C11#187412yes—
444C2×C11#195711yescharacteristic
445C2×C11#195911yescharacteristic
446C2×C11#201111yescharacteristic
447C2×C11#201311yescharacteristic
448C2×C11#202312yes—
449C2×C11#207112yes—
450C2×C11#209311yescharacteristic
451C2×C11#209411yescharacteristic
452C24—22no—
453C24—22no—
454C24—22no—
455C24—41no—
456C24—41no—
457C24—42no—
458C24—42no—
459C24—42no—
460C24—42no—
461C24—41no—
462C24—41no—
463C24D4×D1111yescharacteristic
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4Dic11⋊C414yescomplemented
492C22×C4—22no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—114no—
498C22×C4—114no—
499C22×C4—114no—
500C22×C4—222no—
501C22×C4—222no—
502C22×C4—222no—
503C22×C4—222no—
504C22×C4—222no—
505C22×C4—222no—
506C22×C4—441no—
507C22×C4—442no—
508C22×C4—442no—
509C22×C4—442no—
510C22×C4—442no—
511C22×C4—441no—
512C22×C4—441no—
513C22×C4—441no—
514C22×C4C2×Dic2211yescharacteristic
515C22×C4C2×C4×D1111yescharacteristic
516C22×C4#433911yescharacteristic
517C22×C4#433911yescharacteristic
518C22×C4D4×D1111yescharacteristic
519C22×C4D4×D1111yescharacteristic
520C22×C4D4×D1111yescharacteristic
521C22×C4#434111yescharacteristic
522C22×C4#434111yescharacteristic
523C22×C4#434111yescharacteristic
524C22×C4#434111yescharacteristic
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—222no—
536C2×C8—222no—
537C2×C8—222no—
538C2×C8—441no—
539C2×C8—441no—
540C2×C8—441no—
541C2×C8—441no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—222no—
547C4⋊C4—222no—
548C4⋊C4—222no—
549C4⋊C4—222no—
550C4⋊C4—4416no—
551C4⋊C4—441no—
552C4⋊C4—441no—
553C4⋊C4—441no—
554C4⋊C4—441no—
555C22⋊C4—4416no—
556C42—222no—
557C42—222no—
558C42—222no—
559C42—222no—
560C11#1104911yescharacteristic, complemented, Sylow
561C23—24no—
562C23—44no—
563C23—44no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—44no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—81no—
575C23—81no—
576C23—82no—
577C23—81no—
578C23—82no—
579C23—81no—
580C23—82no—
581C23—82no—
582C23—82no—
583C23—82no—
584C23#6693111yescharacteristic
585C23C22⋊C4×D1111yescharacteristic
586C23#6693611yescharacteristic
587C23#6693811yescharacteristic
588C23D8×D1112yes—
589C23#6696412yes—
590C23SD16×D1112yes—
591C23#6696812yes—
592C23#6699011yescharacteristic
593C23#6699211yescharacteristic
594C23#6699311yescharacteristic
595D4—24no—
596D4—24no—
597D4—42no—
598D4—42no—
599D4—42no—
600D4—42no—
601D4—42no—
602D4—42no—
603C2×C4—44no—
604C2×C4—42no—
605C2×C4—82no—
606C2×C4—81no—
607C2×C4—81no—
608C2×C4—118no—
609C2×C4—224no—
610C2×C4—224no—
611C2×C4—224no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—444no—
616C2×C4—442no—
617C2×C4—442no—
618C2×C4—444no—
619C2×C4—882no—
620C2×C4—881no—
621C2×C4—881no—
622C2×C4—881no—
623C2×C4—881no—
624C2×C4—882no—
625C2×C4#6693011yescharacteristic
626C2×C4#6693111yescharacteristic
627C2×C4#6693111yescharacteristic
628C2×C4#6693111yescharacteristic
629C2×C4#6693211yescharacteristic
630C2×C4#6693211yescharacteristic
631C2×C4(C22⋊D11)⋊C411yescharacteristic
632C2×C4(C22⋊D11)⋊C411yescharacteristic
633C2×C4#6693611yescharacteristic
634C2×C4#6693711yescharacteristic
635C2×C4#6693711yescharacteristic
636C2×C4#6693811yescharacteristic
637C2×C4C2×Dic11⋊C411yescharacteristic
638C2×C4#6697711yescharacteristic
639C2×C4#6697711yescharacteristic
640C2×C4C4×C22⋊D1111yescharacteristic
641C2×C4C4×C22⋊D1111yescharacteristic
642C2×C4#6698211yescharacteristic
643C2×C4#6698811yescharacteristic
644C2×C4#6698811yescharacteristic
645C2×C4#6698911yescharacteristic
646C2×C4#6699011yescharacteristic
647C2×C4#6699111yescharacteristic
648C2×C4#6699111yescharacteristic
649C2×C4#6699211yescharacteristic
650C2×C4#6699211yescharacteristic
651C2×C4#6699211yescharacteristic
652C2×C4#6700611yescharacteristic
653C8—42no—
654C8—442no—
655C22—48no—
656C22—44no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—84no—
664C22—84no—
665C22—84no—
666C22#1062237212yes—
667C22#1062237312yes—
668C22#1062237412yes—
669C22#1062237812yes—
670C22D11×#10212yes—
671C22#1062238412yes—
672C22#1062238712yes—
673C22#1062239012yes—
674C22#1062255511yescharacteristic
675C22#1062256011yescharacteristic
676C22#1062256211yescharacteristic
677C22#1062256511yescharacteristic
678C22#1062256911yescharacteristic
679C22#1062257011yescharacteristic
680C22#1062276312yes—
681C22#1062276411yescharacteristic
682C22#1062276711yescharacteristic
683C22#1062276912yes—
684C22#1062277512yes—
685C22#1062278011yescharacteristic
686C22#1062278312yes—
687C22#1062278811yescharacteristic
688C22#1062283611yescharacteristic
689C4—82no—
690C4—228no—
691C4—882no—
692C4—882no—
693C4#1062255711yescharacteristic
694C4#1062255811yescharacteristic
695C4#1062255911yescharacteristic
696C4#1062256111yescharacteristic
697C4#1062256111yescharacteristic
698C4#1062257211yescharacteristic
699C4#1062282311yescharacteristic
700C4#1062283511yescharacteristic
701C2—84no—
702C2#1306685911yescharacteristic
703C2#1306861412yes—
704C2#1306893012yes—
705C2#1306942011yescharacteristic
706C2#1306943111yescharacteristic
707C2#1306968511yescharacteristic
708C2#1306969711yescharacteristic
709C2#1306975012yes—
710C2#1307002212yes—
711C2#1307014211yescharacteristic
712C2#1307014711yescharacteristic
subgroupG/H
centerC24D4×D11
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC22×C11×#102C2
socleC24×C11C2×D4
prime radicalC23×D4×C11C22
cosocleC23×C4×C11C23
hypercenterC22×#102D11
hypocenterC11#11049
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#102

Complements

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

NH ≅ G/Ntype
3. C2×#10622589C2semidirect
4. C2×#10622189C2semidirect
5. C2×#10622167C2semidirect
6. C2×#10622188C2semidirect
21. #10622834C4semidirect
136. C2×D4×C11C4⋊C4semidirect
303. C2×Dic11#102semidirect
491. C2×D4Dic11⋊C4semidirect
560. C11#11049semidirect

Maximal subgroups

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

subgroupindex
C22×#668962
C2×#106228342
C2×#106225892
C2×#106221892
C2×#106221672
C2×#106221882
C22×C11×#1022
#1104911