Finite Group Databasebeta

← #14660623

Subgroups — #14660623

Order 2816.

1262 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077135C211yesmaximal, characteristic
2C2×#10622838C211yesmaximal, characteristic, complemented
3C2×#10622853C211yesmaximal, characteristic
4#13071202C211yesmaximal, characteristic, complemented
5C2×#10622197C211yesmaximal, characteristic, complemented
6#13068327C211yesmaximal, characteristic, complemented
7C22×C11×#137C211yesmaximal, characteristic
8C22×C11×#41C2211yescharacteristic
9C23×Q8×C11C2211yescharacteristic
10C2×C11×#137—22no—
11C2×C11×#137—22no—
12C2×C11×#137—22no—
13C2×C11×#137—22no—
14C2×C11×#137—22no—
15C2×C11×#137C414yescomplemented
16C22×C11×Q16—21no—
17C22×C11×SD16—21no—
18C22×C11×M16C2211yescharacteristic
19C2×#66979C2211yescharacteristic
20C2×#66979C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23#10622853—22no—
24#10622853—22no—
25#10622846—22no—
26#10622845—22no—
27#10622843—22no—
28#10622843—22no—
29#10622838—22no—
30#10622838—21no—
31#10622838—22no—
32C2×#66899—22no—
33C2×#66898—22no—
34#10622828—21no—
35#10622824—22no—
36#10622197—22no—
37#10622193—22no—
38C2×C11×#41—21no—
39C2×C11×#41—21no—
40C2×C11×#41—21no—
41C2×C11×#41—21no—
42C2×C11×#41—21no—
43C2×C11×#41—21no—
44C2×C11×#41—21no—
45C2×C11×#41—21no—
46C2×C11×#41—21no—
47C2×C11×#41—21no—
48C2×C11×#41C2×C412yes—
49C2×C11×#41D412yes—
50C22×Q8×C11—21no—
51C22×Q8×C11—21no—
52C22×Q8×C11—21no—
53C22×Q8×C11—21no—
54C22×Q8×C11—21no—
55C22×Q8×C11—21no—
56C22×Q8×C11—21no—
57C22×Q8×C11—21no—
58C22×Q8×C11—21no—
59C22×Q8×C11—21no—
60C22×Q8×C11—21no—
61C22×Q8×C11C2×C412yes—
62C22×Q8×C11D411yescharacteristic
63C22×Q8×C11D412yes—
64C22×Q8×C11D412yes—
65C22×D4×C11—21no—
66C22×D4×C11D411yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11C2311yescharacteristic
70C11×#137—28no—
71C11×#137—28no—
72C11×#137—28no—
73C11×#137—28no—
74C2×C11×Q16—24no—
75C2×C11×Q16—24no—
76C2×C11×Q16—24no—
77C2×C11×SD16—24no—
78C2×C11×SD16—24no—
79C2×C11×SD16—24no—
80C2×C11×M16—21no—
81C2×C11×M16—21no—
82C2×C11×M16—21no—
83C2×C11×M16C2×C412yes—
84C2×C11×M16D412yes—
85C2×C11×M16D412yes—
86C22×C8×C11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11D412yes—
90#66979—21no—
91#66979—21no—
92#66979—21no—
93#66979—21no—
94#66979—21no—
95#66979—21no—
96#66979—21no—
97#66979—21no—
98#66979—21no—
99#66979—21no—
100#66979—21no—
101#66979D412yes—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11D412yes—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×#4318—21no—
109C2×#4318—21no—
110C2×#4318—21no—
111C2×#4318—21no—
112C2×#4318—21no—
113C2×#4318—21no—
114C22×C11⋊C8D412yes—
115#66899—28no—
116#66899—24no—
117#66898—28no—
118#66896—24no—
119C11⋊#95—28no—
120#11031—111nomaximal, Sylow
121C24×C11—21no—
122C24×C11C2×D411yescharacteristic
123C11×#41—22no—
124C11×#41—22no—
125C11×#41—22no—
126C11×#41—22no—
127C11×#41—22no—
128C11×#41—22no—
129C11×#41—22no—
130C11×#41—22no—
131C11×#41—41no—
132C11×#41—41no—
133C11×#41—41no—
134C11×#41—41no—
135C11×#41—41no—
136C11×#41—41no—
137C11×#41—41no—
138C11×#41—41no—
139C2×Q8×C11—22no—
140C2×Q8×C11—22no—
141C2×Q8×C11—21no—
142C2×Q8×C11—22no—
143C2×Q8×C11—22no—
144C2×Q8×C11—22no—
145C2×Q8×C11—22no—
146C2×Q8×C11—22no—
147C2×Q8×C11—22no—
148C2×Q8×C11—21no—
149C2×Q8×C11—22no—
150C2×Q8×C11—22no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—22no—
154C2×Q8×C11—22no—
155C2×Q8×C11—22no—
156C2×Q8×C11—22no—
157C2×Q8×C11—22no—
158C2×Q8×C11—21no—
159C2×Q8×C11—41no—
160C2×Q8×C11—41no—
161C2×Q8×C11—41no—
162C2×Q8×C11—41no—
163C2×Q8×C11—41no—
164C2×Q8×C11—41no—
165C2×Q8×C11—41no—
166C2×Q8×C11—41no—
167C2×Q8×C11—41no—
168C2×Q8×C11—41no—
169C2×Q8×C11—41no—
170C2×Q8×C11—41no—
171C2×Q8×C11C22⋊C412yes—
172C2×Q8×C11C22⋊C414yes—
173C2×D4×C11—22no—
174C2×D4×C11—22no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11—21no—
178C2×D4×C11—21no—
179C2×D4×C11—21no—
180C2×D4×C11—41no—
181C2×D4×C11—41no—
182C2×D4×C11—41no—
183C2×D4×C11—41no—
184C2×D4×C11C22⋊C412yes—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—21no—
188C22×C4×C11—22no—
189C22×C4×C11—22no—
190C22×C4×C11—22no—
191C22×C4×C11—41no—
192C22×C4×C11—41no—
193C22×C4×C11—41no—
194C22×C4×C11—41no—
195C22×C4×C11—41no—
196C22×C4×C11—41no—
197C22×C4×C11—41no—
198C22×C4×C11—41no—
199C22×C4×C11C22×C411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11#4111yescharacteristic
210C22×C4×C11#4111yescharacteristic
211C22×C4×C11#4111yescharacteristic
212C22×C4×C11#4111yescharacteristic
213C22×Dic11—22no—
214C22×Dic11—22no—
215C22×Dic11—41no—
216C11×Q16—216no—
217C11×SD16—216no—
218C11×M16—22no—
219C11×M16—22no—
220C11×M16—22no—
221C11×M16C22⋊C414yes—
222C2×C8×C11—22no—
223C2×C8×C11—22no—
224C2×C8×C11—22no—
225C22⋊Dic11—22no—
226C22⋊Dic11—22no—
227C22⋊Dic11—22no—
228C22⋊Dic11—41no—
229C22⋊Dic11—41no—
230C22⋊Dic11—41no—
231C4⋊Dic11—22no—
232C4⋊Dic11—22no—
233C4⋊Dic11—22no—
234C4⋊Dic11—41no—
235C4⋊Dic11—41no—
236C4⋊Dic11—41no—
237C4×Dic11—22no—
238C4×Dic11—41no—
239C4×Dic11—41no—
240C4×Dic11—41no—
241C4×Dic11—41no—
242C4×Dic11—41no—
243#4318—41no—
244#4318—41no—
245#4318—41no—
246#4318—41no—
247C2×C11⋊C8—22no—
248C2×C11⋊C8—22no—
249C2×C11⋊C8—22no—
250C22×#137D1111yescharacteristic
251#2896—111no—
252C2×#419—111no—
253C2×#410—111no—
254#2310—111no—
255C2×#344—111no—
256#1733—111no—
257C23×C11—22no—
258C23×C11—42no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—82no—
262C23×C11C4×D411yescharacteristic
263C23×C11#12011yescharacteristic
264C23×C11#12011yescharacteristic
265C23×C11#12111yescharacteristic
266C23×C11#12111yescharacteristic
267C23×C11#12111yescharacteristic
268C23×C11#12711yescharacteristic
269Q8×C11—24no—
270Q8×C11—22no—
271Q8×C11—24no—
272Q8×C11—22no—
273Q8×C11—42no—
274Q8×C11—42no—
275Q8×C11—42no—
276Q8×C11—41no—
277Q8×C11—42no—
278Q8×C11—42no—
279Q8×C11—42no—
280Q8×C11—41no—
281D4×C11—22no—
282D4×C11—22no—
283D4×C11—42no—
284D4×C11—42no—
285D4×C11—42no—
286D4×C11—42no—
287D4×C11—41no—
288D4×C11—41no—
289C2×C4×C11—22no—
290C2×C4×C11—24no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—41no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—41no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11C2×C22⋊C411yescharacteristic
304C2×C4×C11C2×C22⋊C411yescharacteristic
305C2×C4×C11C2×C22⋊C411yescharacteristic
306C2×C4×C11C4×D411yescharacteristic
307C2×C4×C11C4×D411yescharacteristic
308C2×C4×C11C4×D411yescharacteristic
309C2×C4×C11#12011yescharacteristic
310C2×C4×C11#12011yescharacteristic
311C2×C4×C11#12011yescharacteristic
312C2×C4×C11#12011yescharacteristic
313C2×C4×C11#12011yescharacteristic
314C2×C4×C11#12011yescharacteristic
315C2×C4×C11#12111yescharacteristic
316C2×C4×C11#12111yescharacteristic
317C2×C4×C11#12111yescharacteristic
318C2×C4×C11#12111yescharacteristic
319C2×C4×C11#12111yescharacteristic
320C2×C4×C11#12111yescharacteristic
321C2×C4×C11#12111yescharacteristic
322C2×C4×C11#12111yescharacteristic
323C2×C4×C11#12111yescharacteristic
324C2×C4×C11#12311yescharacteristic
325C2×C4×C11#12311yescharacteristic
326C2×C4×C11#12311yescharacteristic
327C2×C4×C11#12311yescharacteristic
328C2×C4×C11#12411yescharacteristic
329C2×C4×C11#12411yescharacteristic
330C2×C4×C11#12711yescharacteristic
331C2×Dic11—44no—
332C2×Dic11—44no—
333C2×Dic11—42no—
334C2×Dic11—42no—
335C2×Dic11—42no—
336C2×Dic11—82no—
337C8×C11—24no—
338C11⋊C8—42no—
339C22×#41C2×D1111yescharacteristic
340C23×Q8C2×D1111yescharacteristic
341C2×#137—22no—
342C2×#137—22no—
343C2×#137—22no—
344C2×#137—22no—
345C2×#137—22no—
346C2×#137Dic1114yescomplemented
347C22×Q16—21no—
348C22×SD16—21no—
349C22×M16—111no—
350C22×M16C2×D1111yescharacteristic
351C2×#117—111no—
352C2×#117—111no—
353C2×#117—111no—
354#419—222no—
355#419—222no—
356#419—221no—
357#418—221no—
358#417—222no—
359#416—222no—
360C2×#103—222no—
361#410—222no—
362#410—222no—
363C2×#99—222no—
364#391—222no—
365#391—222no—
366#381—222no—
367#344—222no—
368#339—222no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—42no—
377C22×C11—82no—
378C22×C11—82no—
379C22×C11—82no—
380C22×C11#38611yescharacteristic
381C22×C11#38611yescharacteristic
382C22×C11#39011yescharacteristic
383C22×C11#39211yescharacteristic
384C22×C11#39211yescharacteristic
385C22×C11#39211yescharacteristic
386C22×C11#39411yescharacteristic
387C4×C11—42no—
388C4×C11—44no—
389C4×C11#37911yescharacteristic
390C4×C11#38611yescharacteristic
391C4×C11#38611yescharacteristic
392C4×C11#39011yescharacteristic
393C4×C11#39211yescharacteristic
394C4×C11#39411yescharacteristic
395C4×C11#39411yescharacteristic
396C4×C11#39411yescharacteristic
397Dic11—82no—
398Dic11—82no—
399Dic11—82no—
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41C2×Dic1112yes—
411C2×#41C22⋊D1112yes—
412C22×Q8—21no—
413C22×Q8—21no—
414C22×Q8—21no—
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8C2×Dic1112yes—
424C22×Q8C22⋊D1111yescharacteristic
425C22×Q8C22⋊D1112yes—
426C22×Q8C22⋊D1112yes—
427C22×D4—21no—
428C22×D4C22⋊D1111yescharacteristic
429C23×C4—21no—
430C23×C4—21no—
431C23×C4C22×D1111yescharacteristic
432#137—28no—
433#137—28no—
434#137—28no—
435#137—28no—
436C2×Q16—24no—
437C2×Q16—24no—
438C2×Q16—24no—
439C2×SD16—24no—
440C2×SD16—24no—
441C2×SD16—24no—
442C2×M16—21no—
443C2×M16—21no—
444C2×M16—21no—
445C2×M16—221no—
446C2×M16—221no—
447C2×M16—221no—
448C2×M16—221no—
449C2×M16—221no—
450C2×M16—221no—
451C2×M16C2×Dic1112yes—
452C2×M16C22⋊D1112yes—
453C2×M16C22⋊D1112yes—
454C22×C8—21no—
455C22×C8—112no—
456#117—112no—
457#117—221no—
458#117—221no—
459#117—221no—
460#117—221no—
461#117—221no—
462#117—221no—
463#117—221no—
464#117—221no—
465#117—221no—
466#117—221no—
467#117—221no—
468C2×C4⋊C4—112no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
471C2×C22⋊C4—112no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C42—221no—
475C2×C42—221no—
476C2×C42—221no—
477#103—228no—
478#103—224no—
479#102—224no—
480#99—228no—
481#95—228no—
482C2×C11—21no—
483C2×C11—21no—
484C2×C11—21no—
485C2×C11—21no—
486C2×C11—21no—
487C2×C11—21no—
488C2×C11—82no—
489C2×C11#143811yescharacteristic
490C2×C11#200912yes—
491C24—21no—
492C24D4×D1111yescharacteristic
493#41—22no—
494#41—22no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—41no—
502#41—41no—
503#41—41no—
504#41—41no—
505#41—41no—
506#41—41no—
507#41—41no—
508#41—41no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—21no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—21no—
517C2×Q8—22no—
518C2×Q8—21no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—41no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8C22⋊Dic1112yes—
542C2×Q8C22⋊Dic1114yes—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—41no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—41no—
554C2×D4C22⋊Dic1112yes—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—441no—
572C22×C4D4×D1111yescharacteristic
573C22×C4D4×D1111yescharacteristic
574C22×C4D4×D1111yescharacteristic
575C22×C4#434111yescharacteristic
576C22×C4#434111yescharacteristic
577C22×C4#434111yescharacteristic
578C22×C4#434111yescharacteristic
579C22×C4C22×Dic1111yescharacteristic
580C22×C4C2×C22⋊D1111yescharacteristic
581C22×C4C2×C22⋊D1111yescharacteristic
582C22×C4C2×C22⋊D1111yescharacteristic
583C22×C4C2×C22⋊D1111yescharacteristic
584C22×C4C2×C22⋊D1111yescharacteristic
585C22×C4C2×C22⋊D1111yescharacteristic
586Q16—216no—
587SD16—216no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—441no—
592M16—441no—
593M16—441no—
594M16—441no—
595M16C22⋊Dic1114yes—
596C2×C8—22no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—222no—
600C2×C8—222no—
601C2×C8—222no—
602C4⋊C4—222no—
603C4⋊C4—222no—
604C4⋊C4—222no—
605C4⋊C4—441no—
606C4⋊C4—441no—
607C4⋊C4—441no—
608C22⋊C4—222no—
609C22⋊C4—222no—
610C22⋊C4—222no—
611C22⋊C4—441no—
612C22⋊C4—441no—
613C22⋊C4—441no—
614C42—222no—
615C42—441no—
616C42—441no—
617C42—441no—
618C42—441no—
619C42—441no—
620C11#1103111yescharacteristic, complemented, Sylow
621C23—22no—
622C23—42no—
623C23—41no—
624C23—41no—
625C23—82no—
626C23D4×Dic1111yescharacteristic
627C23#6699011yescharacteristic
628C23#6699011yescharacteristic
629C23#6699111yescharacteristic
630C23#6699211yescharacteristic
631C23#6699211yescharacteristic
632C23#6699311yescharacteristic
633Q8—24no—
634Q8—22no—
635Q8—24no—
636Q8—22no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645D4—22no—
646D4—22no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—41no—
652D4—41no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—444no—
668C2×C4—444no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—882no—
673C2×C4D4×Dic1111yescharacteristic
674C2×C4D4×Dic1111yescharacteristic
675C2×C4D4×Dic1111yescharacteristic
676C2×C4#6698811yescharacteristic
677C2×C4#6698811yescharacteristic
678C2×C4#6698811yescharacteristic
679C2×C4#6698811yescharacteristic
680C2×C4#6698911yescharacteristic
681C2×C4#6698911yescharacteristic
682C2×C4#6699011yescharacteristic
683C2×C4#6699011yescharacteristic
684C2×C4#6699111yescharacteristic
685C2×C4#6699111yescharacteristic
686C2×C4#6699111yescharacteristic
687C2×C4#6699211yescharacteristic
688C2×C4#6699211yescharacteristic
689C2×C4#6699211yescharacteristic
690C2×C4#6699211yescharacteristic
691C2×C4#6699211yescharacteristic
692C2×C4#6699211yescharacteristic
693C2×C4#6699311yescharacteristic
694C2×C4C2×C22⋊Dic1111yescharacteristic
695C2×C4C2×C22⋊Dic1111yescharacteristic
696C2×C4C2×C22⋊Dic1111yescharacteristic
697C2×C4#6700611yescharacteristic
698C2×C4#6700611yescharacteristic
699C2×C4#6700611yescharacteristic
700C2×C4#6700611yescharacteristic
701C8—24no—
702C8—442no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22#1062283311yescharacteristic
715C22#1062283311yescharacteristic
716C22#1062283411yescharacteristic
717C22#1062283511yescharacteristic
718C22#1062283611yescharacteristic
719C22#1062283611yescharacteristic
720C22#1062283611yescharacteristic
721C4—42no—
722C4—44no—
723C4—882no—
724C4—882no—
725C4—882no—
726C4#1062283311yescharacteristic
727C4#1062283311yescharacteristic
728C4#1062283411yescharacteristic
729C4#1062283511yescharacteristic
730C4#1062283511yescharacteristic
731C4#1062283511yescharacteristic
732C4#1062283611yescharacteristic
733C4#1062286011yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1306685711yescharacteristic
742C2#1306967412yes—
subgroupG/H
centerC22#10622836
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC22×C11×#137C2
socleC22×C11#392
prime radicalC22×C11×#41C22
cosocleC23×C4×C11C23
hypercenterC22×#137D11
hypocenterC11#11031
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
2. C2×#10622838C2semidirect
4. #13071202C2semidirect
5. C2×#10622197C2semidirect
6. #13068327C2semidirect
15. C2×C11×#137C4semidirect
346. C2×#137Dic11semidirect
620. C11#11031semidirect

Maximal subgroups

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

subgroupindex
#130771352
C2×#106228382
C2×#106228532
#130712022
C2×#106221972
#130683272
C22×C11×#1372
#1103111