Finite Group Databasebeta

← C2×#13066876 #14675464

Subgroups — C2×#13066876 #14675464

Order 2816.

2638 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11⋊#95C211yesmaximal, characteristic
2C22×C11⋊#95C211yesmaximal, characteristic
3C22×C11⋊#95C211yesmaximal, characteristic
4C22×C11⋊#95C211yesmaximal, characteristic
5C22×C11⋊#95C211yesmaximal, characteristic
6C22×C11⋊#95C211yesmaximal, characteristic
7#13066876C218yesmaximal, direct product factor
8C22×C11×#95C211yesmaximal, characteristic
9C24×C4×C11C2211yescharacteristic
10C24×C4×C11C2211yescharacteristic
11C24×C4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C24×Dic11C2211yescharacteristic
15C24×Dic11C2211yescharacteristic
16C2×C11×#95—24no—
17C2×C11×#95C2214yes—
18C2×C11⋊#95—24no—
19C2×C11⋊#95—24no—
20C2×C11⋊#95—24no—
21C2×C11⋊#95—24no—
22C2×C11⋊#95—24no—
23C2×C11⋊#95C418yescomplemented
24C2×C11⋊#95C2214yes—
25C2×C11⋊#95C2214yes—
26C2×C11⋊#95C2214yes—
27C2×C11⋊#95C2214yes—
28C2×C11⋊#95C2214yes—
29C2×C11⋊#95C2214yes—
30C25×C11C2311yescharacteristic
31C23×C4×C11—22no—
32C23×C4×C11—22no—
33C23×C4×C11—22no—
34C23×C4×C11—22no—
35C23×C4×C11—22no—
36C23×C4×C11—22no—
37C23×C4×C11—22no—
38C23×C4×C11—22no—
39C23×C4×C11—22no—
40C23×C4×C11—22no—
41C23×C4×C11—22no—
42C23×C4×C11—22no—
43C23×C4×C11—22no—
44C23×C4×C11—22no—
45C23×C4×C11—22no—
46C23×C4×C11—22no—
47C23×C4×C11—22no—
48C23×C4×C11—22no—
49C23×C4×C11C2×C414yes—
50C23×C4×C11D414yes—
51C23×C4×C11D414yes—
52C23×C4×C11C2312yes—
53C23×C4×C11C2312yes—
54C23×C4×C11C2312yes—
55C23×Dic11—22no—
56C23×Dic11—22no—
57C23×Dic11—22no—
58C23×Dic11—22no—
59C23×Dic11—22no—
60C23×Dic11—22no—
61C23×Dic11—22no—
62C23×Dic11—22no—
63C23×Dic11—22no—
64C23×Dic11—22no—
65C23×Dic11—22no—
66C23×Dic11—22no—
67C23×Dic11—22no—
68C23×Dic11—22no—
69C23×Dic11—22no—
70C23×Dic11—22no—
71C23×Dic11—22no—
72C23×Dic11—22no—
73C23×Dic11—22no—
74C23×Dic11—22no—
75C23×Dic11—22no—
76C23×Dic11—22no—
77C23×Dic11—22no—
78C23×Dic11—22no—
79C23×Dic11C2×C414yes—
80C23×Dic11C2×C414yes—
81C23×Dic11D414yes—
82C23×Dic11Q814yes—
83C23×Dic11C2312yes—
84C23×Dic11C2312yes—
85C23×Dic11C2312yes—
86C23×Dic11C2312yes—
87C11×#95—28no—
88C11⋊#95—28no—
89C11⋊#95—28no—
90C11⋊#95—28no—
91C11⋊#95—28no—
92C11⋊#95—28no—
93C11⋊#95C2×C4116yescomplemented
94C2×#1443—111nomaximal, Sylow
95C24×C11C22×C412yes—
96C24×C11C2×D412yes—
97C24×C11C2×D412yes—
98C24×C11C2×D412yes—
99C24×C11C2×Q812yes—
100C24×C11#4112yes—
101C24×C11#4112yes—
102C24×C11#4112yes—
103C24×C11#4112yes—
104C24×C11#4112yes—
105C24×C11#4112yes—
106C24×C11#4112yes—
107C24×C11#4112yes—
108C24×C11#4112yes—
109C24×C11#4112yes—
110C24×C11C2411yescharacteristic
111C22×C4×C11—28no—
112C22×C4×C11—28no—
113C22×C4×C11—28no—
114C22×C4×C11—28no—
115C22×C4×C11—28no—
116C22×C4×C11—28no—
117C22×C4×C11—28no—
118C22×C4×C11—28no—
119C22×C4×C11—28no—
120C22×C4×C11—22no—
121C22×C4×C11—22no—
122C22×C4×C11—22no—
123C22×C4×C11—22no—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—44no—
139C22×C4×C11—44no—
140C22×C4×C11—44no—
141C22×C4×C11—44no—
142C22×C4×C11—44no—
143C22×C4×C11—44no—
144C22×C4×C11—44no—
145C22×C4×C11—44no—
146C22×C4×C11—44no—
147C22×C4×C11—44no—
148C22×C4×C11—44no—
149C22×C4×C11—44no—
150C22×C4×C11C22×C414yes—
151C22×C4×C11C2×D414yes—
152C22×C4×C11C2×D414yes—
153C22×Dic11—28no—
154C22×Dic11—28no—
155C22×Dic11—28no—
156C22×Dic11—28no—
157C22×Dic11—28no—
158C22×Dic11—28no—
159C22×Dic11—28no—
160C22×Dic11—28no—
161C22×Dic11—28no—
162C22×Dic11—28no—
163C22×Dic11—28no—
164C22×Dic11—28no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—22no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11—44no—
190C22×Dic11—44no—
191C22×Dic11—44no—
192C22×Dic11—44no—
193C22×Dic11—44no—
194C22×Dic11—44no—
195C22×Dic11—44no—
196C22×Dic11—44no—
197C22×Dic11—44no—
198C22×Dic11—44no—
199C22×Dic11—44no—
200C22×Dic11—44no—
201C22×Dic11—44no—
202C22×Dic11—44no—
203C22×Dic11—44no—
204C22×Dic11—44no—
205C22×Dic11C22×C414yes—
206C22×Dic11C22×C414yes—
207C22×Dic11C2×D414yes—
208C22×Dic11C2×Q814yes—
209C22×#95—111no—
210C22×#95—111no—
211C22×#95—111no—
212C22×#95—111no—
213C22×#95—111no—
214C22×#95—111no—
215C22×#95D1111yescharacteristic
216#1443—118no—
217C23×C11#11714yes—
218C23×C11#11714yes—
219C23×C11#11714yes—
220C23×C11C4×D414yes—
221C23×C11C4×D414yes—
222C23×C11C4×D414yes—
223C23×C11C4×Q814yes—
224C23×C11#12114yes—
225C23×C11#12114yes—
226C23×C11#12114yes—
227C23×C11C22⋊Q814yes—
228C23×C11C22⋊Q814yes—
229C23×C11C22⋊Q814yes—
230C23×C11#12314yes—
231C23×C11#12314yes—
232C23×C11#12314yes—
233C23×C11#12314yes—
234C23×C11#12314yes—
235C23×C11#12314yes—
236C23×C11#12414yes—
237C23×C11#12414yes—
238C23×C11#12414yes—
239C23×C11#12514yes—
240C23×C11#12514yes—
241C23×C11#12514yes—
242C23×C11#12614yes—
243C23×C11#12614yes—
244C23×C11#12614yes—
245C23×C11#12614yes—
246C23×C11#12614yes—
247C23×C11#12614yes—
248C23×C11#12614yes—
249C23×C11#12614yes—
250C23×C11#12614yes—
251C23×C11#12614yes—
252C23×C11C23×C411yescharacteristic
253C23×C11C22×D411yescharacteristic
254C23×C11C22×D411yescharacteristic
255C23×C11C22×D411yescharacteristic
256C23×C11C22×Q811yescharacteristic
257C23×C11C2×#4111yescharacteristic
258C23×C11C2×#4111yescharacteristic
259C23×C11C2×#4111yescharacteristic
260C23×C11C2×#4111yescharacteristic
261C23×C11C2×#4111yescharacteristic
262C23×C11C2×#4111yescharacteristic
263C23×C11C2×#4111yescharacteristic
264C23×C11C2×#4111yescharacteristic
265C23×C11C2×#4111yescharacteristic
266C23×C11C2×#4111yescharacteristic
267C2×C4×C11—24no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—416no—
289C2×C4×C11—416no—
290C2×C4×C11—416no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—416no—
320C2×Dic11—416no—
321C2×Dic11—416no—
322C2×Dic11—416no—
323C24×C4—111no—
324C24×C4—111no—
325C24×C4—111no—
326C24×C4—111no—
327C24×C4C2×D1111yescharacteristic
328C24×C4C2×D1111yescharacteristic
329C24×C4C2×D1111yescharacteristic
330C2×#95—24no—
331C2×#95—114no—
332C2×#95—118no—
333C2×#95—114no—
334C2×#95—114no—
335C2×#95—114no—
336C2×#95—114no—
337C2×#95—114no—
338C2×#95—224no—
339C2×#95—224no—
340C2×#95—224no—
341C2×#95—224no—
342C2×#95—224no—
343C2×#95C2×D1114yes—
344C22×C11#38318yes—
345C22×C11#38718yes—
346C22×C11#38718yes—
347C22×C11#38718yes—
348C22×C11#38818yes—
349C22×C11#38818yes—
350C22×C11#38818yes—
351C22×C11#39618yes—
352C22×C11#39718yes—
353C22×C11#39718yes—
354C22×C11#39718yes—
355C22×C11#40018yes—
356C22×C11#40018yes—
357C22×C11#40018yes—
358C22×C11#40118yes—
359C22×C11C2×#11711yescharacteristic
360C22×C11C2×#11711yescharacteristic
361C22×C11C2×#11711yescharacteristic
362C22×C11C2×C4×D411yescharacteristic
363C22×C11C2×C4×D411yescharacteristic
364C22×C11C2×C4×D411yescharacteristic
365C22×C11C2×C4×Q811yescharacteristic
366C22×C11C2×#12111yescharacteristic
367C22×C11C2×#12111yescharacteristic
368C22×C11C2×#12111yescharacteristic
369C22×C11C2×C22⋊Q811yescharacteristic
370C22×C11C2×C22⋊Q811yescharacteristic
371C22×C11C2×C22⋊Q811yescharacteristic
372C22×C11C2×#12311yescharacteristic
373C22×C11C2×#12311yescharacteristic
374C22×C11C2×#12311yescharacteristic
375C22×C11C2×#12311yescharacteristic
376C22×C11C2×#12311yescharacteristic
377C22×C11C2×#12311yescharacteristic
378C22×C11C2×#12411yescharacteristic
379C22×C11C2×#12411yescharacteristic
380C22×C11C2×#12411yescharacteristic
381C22×C11C2×#12511yescharacteristic
382C22×C11C2×#12511yescharacteristic
383C22×C11C2×#12511yescharacteristic
384C22×C11C2×#12611yescharacteristic
385C22×C11C2×#12611yescharacteristic
386C22×C11C2×#12611yescharacteristic
387C22×C11C2×#12611yescharacteristic
388C22×C11C2×#12611yescharacteristic
389C22×C11C2×#12611yescharacteristic
390C22×C11C2×#12611yescharacteristic
391C22×C11C2×#12611yescharacteristic
392C22×C11C2×#12611yescharacteristic
393C22×C11C2×#12611yescharacteristic
394C4×C11—44no—
395C4×C11—44no—
396C4×C11—44no—
397Dic11—44no—
398Dic11—44no—
399Dic11—44no—
400Dic11—44no—
401C25C22×D1111yescharacteristic
402C23×C4—22no—
403C23×C4—22no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—22no—
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—22no—
416C23×C4—22no—
417C23×C4—22no—
418C23×C4—22no—
419C23×C4—22no—
420C23×C4—114no—
421C23×C4—114no—
422C23×C4—114no—
423C23×C4—114no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—112no—
427C23×C4—112no—
428C23×C4—222no—
429C23×C4—222no—
430C23×C4—222no—
431C23×C4—222no—
432C23×C4—222no—
433C23×C4—222no—
434C23×C4—222no—
435C23×C4—222no—
436C23×C4—222no—
437C23×C4—222no—
438C23×C4—222no—
439C23×C4—222no—
440C23×C4—222no—
441C23×C4—222no—
442C23×C4—222no—
443C23×C4—222no—
444C23×C4—222no—
445C23×C4—222no—
446C23×C4—222no—
447C23×C4—222no—
448C23×C4—222no—
449C23×C4—222no—
450C23×C4—222no—
451C23×C4—222no—
452C23×C4C4×D1114yes—
453C23×C4D4414yes—
454C23×C4C22⋊D1114yes—
455C23×C4C22×D1112yes—
456C23×C4C22×D1112yes—
457C23×C4C22×D1112yes—
458#95—28no—
459#95—1116no—
460#95—228no—
461#95—228no—
462#95—228no—
463#95—228no—
464#95—228no—
465C2×C11#1443116yescomplemented
466C2×C11C2×#38311yescharacteristic
467C2×C11C2×#38711yescharacteristic
468C2×C11C2×#38711yescharacteristic
469C2×C11C2×#38711yescharacteristic
470C2×C11C2×#38811yescharacteristic
471C2×C11C2×#38811yescharacteristic
472C2×C11C2×#38811yescharacteristic
473C2×C11C2×#39611yescharacteristic
474C2×C11C2×#39711yescharacteristic
475C2×C11C2×#39711yescharacteristic
476C2×C11C2×#39711yescharacteristic
477C2×C11C2×#40011yescharacteristic
478C2×C11C2×#40011yescharacteristic
479C2×C11C2×#40011yescharacteristic
480C2×C11C2×#40111yescharacteristic
481C24C2×C4×D1112yes—
482C24C2×D4412yes—
483C24#433912yes—
484C24#433912yes—
485C24#433912yes—
486C24#433912yes—
487C24D4×D1112yes—
488C24#434112yes—
489C24#434112yes—
490C24#434112yes—
491C24#434112yes—
492C24#434112yes—
493C24Q8×D1112yes—
494C24#434312yes—
495C24C2×C22⋊D1112yes—
496C24C23×D1111yescharacteristic
497C22×C4—28no—
498C22×C4—28no—
499C22×C4—28no—
500C22×C4—28no—
501C22×C4—28no—
502C22×C4—28no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—114no—
537C22×C4—114no—
538C22×C4—114no—
539C22×C4—114no—
540C22×C4—228no—
541C22×C4—228no—
542C22×C4—228no—
543C22×C4—228no—
544C22×C4—228no—
545C22×C4—228no—
546C22×C4—228no—
547C22×C4—228no—
548C22×C4—228no—
549C22×C4—228no—
550C22×C4—228no—
551C22×C4—228no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—222no—
574C22×C4—222no—
575C22×C4—222no—
576C22×C4—444no—
577C22×C4—444no—
578C22×C4—444no—
579C22×C4—444no—
580C22×C4—444no—
581C22×C4—444no—
582C22×C4—444no—
583C22×C4—444no—
584C22×C4—444no—
585C22×C4—444no—
586C22×C4—444no—
587C22×C4—444no—
588C22×C4—444no—
589C22×C4—444no—
590C22×C4—444no—
591C22×C4—444no—
592C22×C4C2×C4×D1114yes—
593C22×C4C2×D4414yes—
594C22×C4C2×C22⋊D1114yes—
595C11C2×#144311yescharacteristic, complemented, Sylow
596C23#6692514yes—
597C23C4×D4414yes—
598C23#6692814yes—
599C23#6692914yes—
600C23#6693014yes—
601C23#6693214yes—
602C23#6693214yes—
603C23#6693214yes—
604C23#6693214yes—
605C23#6693214yes—
606C23(C22⋊D11)⋊C414yes—
607C23#6693614yes—
608C23#6693614yes—
609C23#6693814yes—
610C23#6693914yes—
611C23#6693914yes—
612C23#6694014yes—
613C23#6694214yes—
614C23#6694214yes—
615C23#6694214yes—
616C23#6694514yes—
617C23#6694814yes—
618C23#6694914yes—
619C23#6695014yes—
620C23#6695114yes—
621C23#6695114yes—
622C23#6695114yes—
623C23#6695114yes—
624C23C4×C22⋊D1114yes—
625C23#6698214yes—
626C23#6698314yes—
627C23#6698814yes—
628C23#6698914yes—
629C23#6699214yes—
630C23#6699914yes—
631C23C22×C4×D1111yescharacteristic
632C23C22×D4411yescharacteristic
633C23C2×#433911yescharacteristic
634C23C2×#433911yescharacteristic
635C23C2×#433911yescharacteristic
636C23C2×#433911yescharacteristic
637C23C2×D4×D1111yescharacteristic
638C23C2×#434111yescharacteristic
639C23C2×#434111yescharacteristic
640C23C2×#434111yescharacteristic
641C23C2×#434111yescharacteristic
642C23C2×#434111yescharacteristic
643C23C2×Q8×D1111yescharacteristic
644C23C2×#434311yescharacteristic
645C23C22×C22⋊D1111yescharacteristic
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—416no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—416no—
668C2×C4—42no—
669C2×C4—416no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—224no—
681C2×C4—224no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—442no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—4416no—
695C2×C4—4416no—
696C2×C4—442no—
697C2×C4—4416no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4—4416no—
702C22#1062226418yes—
703C22#1062226518yes—
704C22#1062226618yes—
705C22#1062227118yes—
706C22#1062227218yes—
707C22C11⋊#40118yes—
708C22#1062228318yes—
709C22#1062228718yes—
710C22#1062255318yes—
711C22#1062255818yes—
712C22#1062256518yes—
713C22#1062256618yes—
714C22#1062259118yes—
715C22#1062259518yes—
716C22#1062260718yes—
717C22C2×#6692511yescharacteristic
718C22C2×C4×D4411yescharacteristic
719C22C2×#6692811yescharacteristic
720C22C2×#6692911yescharacteristic
721C22C2×#6693011yescharacteristic
722C22C2×#6693211yescharacteristic
723C22C2×#6693211yescharacteristic
724C22C2×#6693211yescharacteristic
725C22C2×#6693211yescharacteristic
726C22C2×#6693211yescharacteristic
727C22C2×(C22⋊D11)⋊C411yescharacteristic
728C22C2×#6693611yescharacteristic
729C22C2×#6693611yescharacteristic
730C22C2×#6693811yescharacteristic
731C22C2×#6693911yescharacteristic
732C22C2×#6693911yescharacteristic
733C22C2×#6694011yescharacteristic
734C22C2×#6694211yescharacteristic
735C22C2×#6694211yescharacteristic
736C22C2×#6694211yescharacteristic
737C22C2×#6694511yescharacteristic
738C22C2×#6694811yescharacteristic
739C22C2×#6694911yescharacteristic
740C22C2×#6695011yescharacteristic
741C22C2×#6695111yescharacteristic
742C22C2×#6695111yescharacteristic
743C22C2×#6695111yescharacteristic
744C22C2×#6695111yescharacteristic
745C22C2×C4×C22⋊D1111yescharacteristic
746C22C2×#6698211yescharacteristic
747C22C2×#6698311yescharacteristic
748C22C2×#6698811yescharacteristic
749C22C2×#6698911yescharacteristic
750C22C2×#6699211yescharacteristic
751C22C2×#6699911yescharacteristic
752C4—44no—
753C4—44no—
754C4—44no—
755C4—444no—
756C4—444no—
757C4—444no—
758C4—444no—
759C2#13066876116yesdirect product factor
760C2C2×#1062226411yescharacteristic
761C2C2×#1062259111yescharacteristic
762C2C2×#1062226511yescharacteristic
763C2C2×#1062226611yescharacteristic
764C2C2×#1062255311yescharacteristic
765C2C2×#1062228311yescharacteristic
766C2C2×#1062255811yescharacteristic
767C2C2×#1062260711yescharacteristic
768C2C2×#1062256611yescharacteristic
769C2C2×#1062228711yescharacteristic
770C2C2×#1062256511yescharacteristic
771C2C2×#1062259511yescharacteristic
772C2C2×#1062227211yescharacteristic
773C2C2×#1062227111yescharacteristic
774C2C2×C11⋊#40111yescharacteristic
subgroupG/H
centerC25C22×D11
commutatorC23×C11C23×C4
FrattiniC24C23×D11
FittingC22×C11×#95C2
socle, prime radicalC25×C11C23
cosocleC24×C11C24
hypercenterC22×#95D11
hypocenterC11C2×#1443
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C25 ◁ C22×#95

Complements

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

NH ≅ G/Ntype
7. #13066876C2direct (N × H)
23. C2×C11⋊#95C4semidirect
93. C11⋊#95C2×C4semidirect
465. C2×C11#1443semidirect
595. C11C2×#1443semidirect
759. C2#13066876direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11⋊#952
#130668762
C22×C11×#952
C2×#144311