Finite Group Databasebeta

← #14680908

Subgroups — #14680908

Order 2816.

1094 conjugacy classes of subgroups.

The subgroup lattice has 830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11⋊#401C211yesmaximal, characteristic
2#13066876C211yesmaximal, characteristic
3#13066875C211yesmaximal, characteristic
4#13066874C211yesmaximal, characteristic
5#13066874C211yesmaximal, characteristic
6#13066874C211yesmaximal, characteristic
7#13066871C211yesmaximal, characteristic
8#13066851C211yesmaximal, characteristic
9#13066850C211yesmaximal, characteristic
10#13066850C211yesmaximal, characteristic
11#13066850C211yesmaximal, characteristic
12#13066848C211yesmaximal, characteristic
13#13066847C211yesmaximal, characteristic
14#95×Dic11C211yesmaximal, characteristic
15C11×#1442C211yesmaximal, characteristic
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×C4⋊Dic11C2211yescharacteristic
18C22×Dic11⋊C4C2211yescharacteristic
19C22×Dic11⋊C4C2211yescharacteristic
20C22×C4×Dic11C2211yescharacteristic
21C22×C4×Dic11C2211yescharacteristic
22C22×C4×Dic11C2211yescharacteristic
23C2×C11×#95C2211yescharacteristic
24C2×C11×#95C2211yescharacteristic
25C2×C11×#95C2211yescharacteristic
26C2×C11×#95C2211yescharacteristic
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2211yescharacteristic
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2211yescharacteristic
34C2×C11⋊#95C2211yescharacteristic
35C2×C11⋊#95C2211yescharacteristic
36C2×C11⋊#95C2211yescharacteristic
37C2×C11⋊#95C2211yescharacteristic
38C2×C11⋊#95C2211yescharacteristic
39C2×C11⋊#95C2211yescharacteristic
40C2×C11⋊#95C2211yescharacteristic
41C2×C11⋊#95C2211yescharacteristic
42C2×C11⋊#95C2211yescharacteristic
43C2×C11⋊#95C2211yescharacteristic
44C2×C11⋊#95C2211yescharacteristic
45C2×C11⋊#95C2211yescharacteristic
46C2×C11⋊#95C2211yescharacteristic
47C2×C11⋊#95C2211yescharacteristic
48C2×C11⋊#95C2211yescharacteristic
49C2×C11⋊#95C2211yescharacteristic
50C2×C11⋊#95C2211yescharacteristic
51C11⋊#401C418yescomplemented
52C23×C4×C11C2311yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C23×C4×C11C2311yescharacteristic
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C23×Dic11C2311yescharacteristic
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2311yescharacteristic
66C23×Dic11C2311yescharacteristic
67C2×C11×C4⋊C4—22no—
68C2×C11×C4⋊C4—41no—
69C2×C11×C4⋊C4—41no—
70C2×C4⋊Dic11—22no—
71C2×C4⋊Dic11—22no—
72C2×C4⋊Dic11—22no—
73C2×Dic11⋊C4—22no—
74C2×Dic11⋊C4—22no—
75C2×Dic11⋊C4—41no—
76C2×Dic11⋊C4—41no—
77C2×Dic11⋊C4—41no—
78C2×Dic11⋊C4—41no—
79C2×C4×Dic11—22no—
80C2×C4×Dic11—22no—
81C2×C4×Dic11—22no—
82C2×C4×Dic11—41no—
83C2×C4×Dic11—41no—
84C2×C4×Dic11—41no—
85C2×C4×Dic11—41no—
86C2×C4×Dic11—41no—
87C2×C4×Dic11—41no—
88C11×#95—22no—
89C11×#95—22no—
90C11×#95—22no—
91C11×#95—41no—
92C11×#95—41no—
93C11×#95C2×C414yes—
94C11⋊#95—22no—
95C11⋊#95—22no—
96C11⋊#95—22no—
97C11⋊#95—22no—
98C11⋊#95—22no—
99C11⋊#95—22no—
100C11⋊#95—41no—
101C11⋊#95—41no—
102C11⋊#95—41no—
103C11⋊#95—41no—
104C11⋊#95—41no—
105C11⋊#95—41no—
106C11⋊#95—41no—
107C11⋊#95—41no—
108C11⋊#95—41no—
109C11⋊#95—41no—
110C11⋊#95C2×C414yes—
111C11⋊#95C2×C414yes—
112C11⋊#95C2×C414yes—
113C11⋊#95C2×C414yes—
114C11⋊#95C2×C414yes—
115C11⋊#95C2×C414yes—
116#14333—111nomaximal, Sylow
117C24×C11C2411yescharacteristic
118C22×C4×C11—21no—
119C22×C4×C11—21no—
120C22×C4×C11—21no—
121C22×C4×C11—21no—
122C22×C4×C11—21no—
123C22×C4×C11—21no—
124C22×C4×C11—21no—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—21no—
128C22×C4×C11—21no—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11C22×C412yes—
163C22×C4×C11C22×C412yes—
164C22×C4×C11C22×C412yes—
165C22×C4×C11#4112yes—
166C22×C4×C11#4112yes—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—21no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201C22×Dic11—21no—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11—21no—
208C22×Dic11—21no—
209C22×Dic11—21no—
210C22×Dic11—21no—
211C22×Dic11—21no—
212C22×Dic11—21no—
213C22×Dic11—21no—
214C22×Dic11—21no—
215C22×Dic11C22×C412yes—
216C22×Dic11C22×C412yes—
217C22×Dic11C22×C412yes—
218C22×Dic11C22×C412yes—
219C22×Dic11#4112yes—
220C22×Dic11#4112yes—
221C22×Dic11#4112yes—
222C22×Dic11#4112yes—
223C11×C4⋊C4—44no—
224C4⋊Dic11—44no—
225Dic11⋊C4—44no—
226Dic11⋊C4—44no—
227C4×Dic11—44no—
228C4×Dic11—44no—
229C4×Dic11—44no—
230C2×#401—111no—
231#1443—111no—
232#1442—111no—
233#1442—111no—
234#1442—111no—
235#1442—111no—
236#1442—111no—
237#1442D1111yescharacteristic
238#1436—111no—
239#1436—111no—
240#1436—111no—
241#1436—111no—
242#1436—111no—
243#1436—111no—
244C4×#95—111no—
245C23×C11C23×C411yescharacteristic
246C23×C11C2×#4111yescharacteristic
247C23×C11C2×#4111yescharacteristic
248C23×C11C2×#4111yescharacteristic
249C23×C11C2×#4111yescharacteristic
250C23×C11C2×#4111yescharacteristic
251C23×C11C2×#4111yescharacteristic
252C23×C11H(5,𝔽2)11yescharacteristic
253C23×C11H(5,𝔽2)11yescharacteristic
254C23×C11H(5,𝔽2)11yescharacteristic
255C23×C11H(5,𝔽2)11yescharacteristic
256C23×C112−1+411yescharacteristic
257C23×C112−1+411yescharacteristic
258C23×C112−1+411yescharacteristic
259C23×C112−1+411yescharacteristic
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
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—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—22no—
328C2×Dic11—22no—
329C2×Dic11—22no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C2×Dic11—41no—
333C2×Dic11—41no—
334C2×Dic11—41no—
335C2×Dic11—41no—
336C2×Dic11—41no—
337C2×Dic11—41no—
338C2×Dic11—41no—
339C2×Dic11—41no—
340C2×Dic11—41no—
341C2×Dic11—41no—
342C2×Dic11—41no—
343C2×Dic11—41no—
344C2×Dic11—41no—
345C2×Dic11—41no—
346C2×Dic11—41no—
347C2×Dic11—41no—
348C2×Dic11—41no—
349C2×Dic11—41no—
350C2×Dic11—41no—
351C2×Dic11—41no—
352C2×Dic11—41no—
353C2×Dic11—41no—
354C2×Dic11—41no—
355C2×Dic11—41no—
356C2×Dic11—41no—
357C2×Dic11—41no—
358C2×Dic11—41no—
359C2×Dic11—41no—
360C2×Dic11—41no—
361C2×Dic11—41no—
362C2×Dic11—41no—
363C2×Dic11—41no—
364C2×Dic11#12614yes—
365C22×C4⋊C4—111no—
366C22×C4⋊C4—111no—
367C22×C4⋊C4—111no—
368C22×C4⋊C4C2×D1111yescharacteristic
369C22×C42—111no—
370C22×C42—111no—
371C22×C42—111no—
372#401—118no—
373C2×#95—111no—
374C2×#95—111no—
375C2×#95—111no—
376C2×#95—111no—
377C2×#95—111no—
378C2×#95—111no—
379C2×#95—111no—
380C2×#95—111no—
381C2×#95—111no—
382C2×#95—111no—
383C2×#95—111no—
384C2×#95—111no—
385C2×#95—111no—
386C2×#95—111no—
387C2×#95—111no—
388C2×#95—111no—
389C2×#95—111no—
390C2×#95—111no—
391C2×#95—111no—
392C2×#95—111no—
393C2×#95—111no—
394C2×#95—111no—
395C2×#95C2×D1111yescharacteristic
396C2×#95C2×D1111yescharacteristic
397C2×#95C2×D1111yescharacteristic
398C2×#95C2×D1111yescharacteristic
399C2×#95C2×D1111yescharacteristic
400C2×#95C2×D1111yescharacteristic
401C22×C11C4×#4111yescharacteristic
402C22×C11C4×#4111yescharacteristic
403C22×C11C4×#4111yescharacteristic
404C22×C11#52011yescharacteristic
405C22×C11#52011yescharacteristic
406C22×C11#52011yescharacteristic
407C22×C11#52011yescharacteristic
408C22×C11C2×#12611yescharacteristic
409C22×C11#52911yescharacteristic
410C22×C11#52911yescharacteristic
411C22×C11#52911yescharacteristic
412C22×C11#53811yescharacteristic
413C22×C11#53811yescharacteristic
414C22×C11#53811yescharacteristic
415C22×C11#53811yescharacteristic
416C22×C11#53811yescharacteristic
417C22×C11#53811yescharacteristic
418C22×C11#53911yescharacteristic
419C22×C11#53911yescharacteristic
420C22×C11#53911yescharacteristic
421C22×C11#53911yescharacteristic
422C22×C11#53911yescharacteristic
423C22×C11#53911yescharacteristic
424C22×C11#54111yescharacteristic
425C22×C11#54111yescharacteristic
426C22×C11#54111yescharacteristic
427C22×C11#54111yescharacteristic
428C22×C11#54111yescharacteristic
429C22×C11#54111yescharacteristic
430C22×C11#54211yescharacteristic
431C22×C11#54211yescharacteristic
432C22×C11#54211yescharacteristic
433C22×C11#54211yescharacteristic
434C22×C11#54211yescharacteristic
435C22×C11#54211yescharacteristic
436C4×C11—42no—
437C4×C11—42no—
438C4×C11—42no—
439C4×C11—42no—
440C4×C11—42no—
441C4×C11—81no—
442C4×C11—81no—
443Dic11—24no—
444Dic11—42no—
445Dic11—42no—
446Dic11—42no—
447Dic11—42no—
448Dic11—42no—
449Dic11—81no—
450Dic11—81no—
451C23×C4—111no—
452C23×C4—111no—
453C23×C4—111no—
454C23×C4—111no—
455C23×C4—111no—
456C23×C4—111no—
457C23×C4—111no—
458C23×C4—111no—
459C23×C4C22×D1111yescharacteristic
460C23×C4C22×D1111yescharacteristic
461C23×C4C22×D1111yescharacteristic
462C23×C4C22×D1111yescharacteristic
463C23×C4C22×D1111yescharacteristic
464C23×C4C22×D1111yescharacteristic
465C23×C4C22×D1111yescharacteristic
466C2×C4⋊C4—22no—
467C2×C4⋊C4—41no—
468C2×C4⋊C4—41no—
469C2×C4⋊C4—222no—
470C2×C4⋊C4—222no—
471C2×C4⋊C4—222no—
472C2×C4⋊C4—222no—
473C2×C4⋊C4—222no—
474C2×C4⋊C4—441no—
475C2×C4⋊C4—441no—
476C2×C4⋊C4—441no—
477C2×C4⋊C4—441no—
478C2×C42—222no—
479C2×C42—222no—
480C2×C42—222no—
481C2×C42—441no—
482C2×C42—441no—
483C2×C42—441no—
484C2×C42—441no—
485C2×C42—441no—
486C2×C42—441no—
487#95—22no—
488#95—22no—
489#95—22no—
490#95—41no—
491#95—41no—
492#95—114no—
493#95—114no—
494#95—114no—
495#95—114no—
496#95—114no—
497#95—114no—
498#95—222no—
499#95—222no—
500#95—222no—
501#95—222no—
502#95—222no—
503#95—222no—
504#95—441no—
505#95—441no—
506#95—441no—
507#95—441no—
508#95—441no—
509#95—441no—
510#95—441no—
511#95—441no—
512#95—441no—
513#95—441no—
514#95C4×D1114yes—
515C2×C11C4×#12611yescharacteristic
516C2×C11#233411yescharacteristic
517C2×C11#233411yescharacteristic
518C2×C11#233411yescharacteristic
519C2×C11#233411yescharacteristic
520C2×C11#233411yescharacteristic
521C2×C11#233411yescharacteristic
522C2×C11#264311yescharacteristic
523C2×C11#264511yescharacteristic
524C2×C11#265311yescharacteristic
525C2×C11#265311yescharacteristic
526C2×C11#265311yescharacteristic
527C2×C11#265511yescharacteristic
528C2×C11#265511yescharacteristic
529C2×C11#265511yescharacteristic
530C24C23×D1111yescharacteristic
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—112no—
576C22×C4—112no—
577C22×C4—112no—
578C22×C4—112no—
579C22×C4—112no—
580C22×C4—112no—
581C22×C4—112no—
582C22×C4—112no—
583C22×C4—221no—
584C22×C4—221no—
585C22×C4—221no—
586C22×C4—221no—
587C22×C4—221no—
588C22×C4—221no—
589C22×C4—221no—
590C22×C4—221no—
591C22×C4—221no—
592C22×C4—221no—
593C22×C4—221no—
594C22×C4—221no—
595C22×C4—221no—
596C22×C4—221no—
597C22×C4—221no—
598C22×C4—221no—
599C22×C4—221no—
600C22×C4—221no—
601C22×C4—221no—
602C22×C4—221no—
603C22×C4—221no—
604C22×C4—221no—
605C22×C4—221no—
606C22×C4—221no—
607C22×C4—221no—
608C22×C4—221no—
609C22×C4—221no—
610C22×C4—221no—
611C22×C4—221no—
612C22×C4—221no—
613C22×C4—221no—
614C22×C4—221no—
615C22×C4—221no—
616C22×C4—221no—
617C22×C4—221no—
618C22×C4—221no—
619C22×C4—221no—
620C22×C4—221no—
621C22×C4—221no—
622C22×C4—221no—
623C22×C4—221no—
624C22×C4—221no—
625C22×C4—221no—
626C22×C4—221no—
627C22×C4—221no—
628C22×C4—221no—
629C22×C4—221no—
630C22×C4—221no—
631C22×C4C2×C4×D1112yes—
632C22×C4C2×C4×D1112yes—
633C22×C4C2×C4×D1112yes—
634C22×C4#434112yes—
635C22×C4#434112yes—
636C4⋊C4—44no—
637C4⋊C4—444no—
638C4⋊C4—444no—
639C4⋊C4—444no—
640C42—444no—
641C42—444no—
642C42—444no—
643C11#1433311yescharacteristic, complemented, Sylow
644C23C22×C4×D1111yescharacteristic
645C23C2×#434111yescharacteristic
646C23C2×#434111yescharacteristic
647C23#6703711yescharacteristic
648C23#6703711yescharacteristic
649C23#6704011yescharacteristic
650C23#6704011yescharacteristic
651C23#41×D1111yescharacteristic
652C23#41×D1111yescharacteristic
653C23#41×D1111yescharacteristic
654C23#41×D1111yescharacteristic
655C23#6704211yescharacteristic
656C23#6704211yescharacteristic
657C23#6704311yescharacteristic
658C23#6704311yescharacteristic
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—114no—
709C2×C4—222no—
710C2×C4—222no—
711C2×C4—222no—
712C2×C4—222no—
713C2×C4—222no—
714C2×C4—222no—
715C2×C4—222no—
716C2×C4—222no—
717C2×C4—222no—
718C2×C4—222no—
719C2×C4—222no—
720C2×C4—222no—
721C2×C4—222no—
722C2×C4—222no—
723C2×C4—222no—
724C2×C4—222no—
725C2×C4—222no—
726C2×C4—222no—
727C2×C4—222no—
728C2×C4—222no—
729C2×C4—222no—
730C2×C4—441no—
731C2×C4—441no—
732C2×C4—441no—
733C2×C4—441no—
734C2×C4—441no—
735C2×C4—441no—
736C2×C4—441no—
737C2×C4—441no—
738C2×C4—441no—
739C2×C4—441no—
740C2×C4—441no—
741C2×C4—441no—
742C2×C4—441no—
743C2×C4—441no—
744C2×C4—441no—
745C2×C4—441no—
746C2×C4—441no—
747C2×C4—441no—
748C2×C4—441no—
749C2×C4—441no—
750C2×C4—441no—
751C2×C4—441no—
752C2×C4—441no—
753C2×C4—441no—
754C2×C4—441no—
755C2×C4—441no—
756C2×C4—441no—
757C2×C4—441no—
758C2×C4—441no—
759C2×C4—441no—
760C2×C4—441no—
761C2×C4—441no—
762C2×C4—441no—
763C2×C4—441no—
764C22#1062303511yescharacteristic
765C22#1062305311yescharacteristic
766C22#1062305411yescharacteristic
767C22C4×#434111yescharacteristic
768C22C4×#434111yescharacteristic
769C22#1062307711yescharacteristic
770C22#1062310511yescharacteristic
771C22#1062312411yescharacteristic
772C22#1062313111yescharacteristic
773C22#1062313411yescharacteristic
774C22#1062314811yescharacteristic
775C22#1062315611yescharacteristic
776C22#1062316911yescharacteristic
777C22#1062316911yescharacteristic
778C22#1062317111yescharacteristic
779C22#1062317411yescharacteristic
780C22#1062318011yescharacteristic
781C22#1062318811yescharacteristic
782C22#1062319311yescharacteristic
783C22#1062319611yescharacteristic
784C22#1062319611yescharacteristic
785C22#1062320011yescharacteristic
786C22#1062320911yescharacteristic
787C22#1062320911yescharacteristic
788C22#1062321111yescharacteristic
789C22#1062322311yescharacteristic
790C22#1062322311yescharacteristic
791C22#1062322711yescharacteristic
792C22#1062322711yescharacteristic
793C22#1062322711yescharacteristic
794C22#1062323211yescharacteristic
795C22D11×#12611yescharacteristic
796C22#1062323511yescharacteristic
797C22#1062324111yescharacteristic
798C22#1062326211yescharacteristic
799C4—42no—
800C4—42no—
801C4—42no—
802C4—42no—
803C4—42no—
804C4—81no—
805C4—81no—
806C4—224no—
807C4—442no—
808C4—442no—
809C4—442no—
810C4—442no—
811C4—442no—
812C4—881no—
813C4—881no—
814C2#1307117011yescharacteristic
815C2#1307138411yescharacteristic
816C2#1307138711yescharacteristic
817C2#1307139211yescharacteristic
818C2#1307139611yescharacteristic
819C2#1307139711yescharacteristic
820C2#1307139811yescharacteristic
821C2#1307457011yescharacteristic
822C2#1307458011yescharacteristic
823C2#1307467211yescharacteristic
824C2#1307467611yescharacteristic
825C2#1307468011yescharacteristic
826C2#1307470411yescharacteristic
827C2#1307470611yescharacteristic
828C2#1307471011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1442C2
socle, prime radical, cosocleC24×C11C24
hypercenter#1442D11
hypocenterC11#14333
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1442

Complements

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

NH ≅ G/Ntype
51. C11⋊#401C4semidirect
643. C11#14333semidirect

Maximal subgroups

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

subgroupindex
C2×C11⋊#4012
#130668762
#130668752
#130668742
#130668712
#130668512
#130668502
#130668482
#130668472
#95×Dic112
C11×#14422
#1433311