Finite Group Databasebeta

← #14719284

Subgroups — #14719284

Order 2816.

926 conjugacy classes of subgroups.

The subgroup lattice has 816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13066877C211yesmaximal, characteristic
2#13066877C211yesmaximal, characteristic
3#13066877C211yesmaximal, characteristic
4#13066876C211yesmaximal, characteristic
5#13066876C211yesmaximal, characteristic
6#13066874C211yesmaximal, characteristic
7#13066873C211yesmaximal, characteristic
8#13066872C211yesmaximal, characteristic
9#13066871C211yesmaximal, characteristic
10#13066870C211yesmaximal, characteristic
11#13066869C211yesmaximal, characteristic
12#13066868C211yesmaximal, characteristic
13#13066868C211yesmaximal, characteristic
14#13066866C211yesmaximal, characteristic
15C11×#1442C211yesmaximal, characteristic
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×C4⋊Dic11C2211yescharacteristic
18C22×C4⋊Dic11C2211yescharacteristic
19C22×Dic11⋊C4C2211yescharacteristic
20C22×Dic11⋊C4C2211yescharacteristic
21C2×C11×#95C2211yescharacteristic
22C2×C11×#95C2211yescharacteristic
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
51C23×C4×C11C2311yescharacteristic
52C23×C4×C11C2311yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C23×Dic11C2311yescharacteristic
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C23×Dic11C2311yescharacteristic
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2311yescharacteristic
66C2×C11×C4⋊C4—22no—
67C2×C11×C4⋊C4—41no—
68C2×C11×C4⋊C4—41no—
69C2×C4⋊Dic11—22no—
70C2×C4⋊Dic11—22no—
71C2×C4⋊Dic11—41no—
72C2×C4⋊Dic11—41no—
73C2×C4⋊Dic11—41no—
74C2×C4⋊Dic11—41no—
75C2×Dic11⋊C4—22no—
76C2×Dic11⋊C4—22no—
77C2×Dic11⋊C4—41no—
78C2×Dic11⋊C4—41no—
79C2×Dic11⋊C4—41no—
80C2×Dic11⋊C4—41no—
81C11×#95—22no—
82C11×#95—22no—
83C11×#95—41no—
84C11×#95—41no—
85C11×#95—41no—
86C11×#95—41no—
87C11⋊#95—22no—
88C11⋊#95—22no—
89C11⋊#95—22no—
90C11⋊#95—22no—
91C11⋊#95—22no—
92C11⋊#95—22no—
93C11⋊#95—22no—
94C11⋊#95—22no—
95C11⋊#95—41no—
96C11⋊#95—41no—
97C11⋊#95—41no—
98C11⋊#95—41no—
99C11⋊#95—41no—
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⋊#95—41no—
111#17301—111nomaximal, Sylow
112C24×C11C2411yescharacteristic
113C22×C4×C11—21no—
114C22×C4×C11—21no—
115C22×C4×C11—21no—
116C22×C4×C11—21no—
117C22×C4×C11—21no—
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#4112yes—
160C22×C4×C11#4112yes—
161C22×C4×C11#4112yes—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
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×Dic11—21no—
216C22×Dic11#4112yes—
217C22×Dic11#4112yes—
218C11×C4⋊C4—44no—
219C4⋊Dic11—44no—
220C4⋊Dic11—44no—
221Dic11⋊C4—44no—
222Dic11⋊C4—44no—
223#1443—111no—
224#1443—111no—
225#1443—111no—
226#1443—111no—
227#1443—111no—
228#1442—111no—
229#1442—111no—
230#1442—111no—
231#1442—111no—
232#1442D1111yescharacteristic
233#1441—111no—
234#1441—111no—
235#1441—111no—
236#1441—111no—
237#1441—111no—
238C23×C11C2×#4111yescharacteristic
239C23×C11C2×#4111yescharacteristic
240C23×C11C2×#4111yescharacteristic
241C23×C11C2×#4111yescharacteristic
242C23×C11C2×#4111yescharacteristic
243C23×C11H(5,𝔽2)11yescharacteristic
244C23×C11H(5,𝔽2)11yescharacteristic
245C23×C11H(5,𝔽2)11yescharacteristic
246C23×C11H(5,𝔽2)11yescharacteristic
247C23×C11H(5,𝔽2)11yescharacteristic
248C23×C112−1+411yescharacteristic
249C23×C112−1+411yescharacteristic
250C23×C112−1+411yescharacteristic
251C23×C112−1+411yescharacteristic
252C23×C112−1+411yescharacteristic
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
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×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—41no—
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—
358C22×C4⋊C4—111no—
359C22×C4⋊C4—111no—
360C22×C4⋊C4—111no—
361C22×C4⋊C4—111no—
362C22×C4⋊C4C2×D1111yescharacteristic
363C2×#95—111no—
364C2×#95—111no—
365C2×#95—111no—
366C2×#95—111no—
367C2×#95—111no—
368C2×#95—111no—
369C2×#95—111no—
370C2×#95—111no—
371C2×#95—111no—
372C2×#95—111no—
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×#95C2×D1111yescharacteristic
388C2×#95C2×D1111yescharacteristic
389C2×#95C2×D1111yescharacteristic
390C2×#95C2×D1111yescharacteristic
391C2×#95C2×D1111yescharacteristic
392C2×#95C2×D1111yescharacteristic
393C22×C11#53811yescharacteristic
394C22×C11#53811yescharacteristic
395C22×C11#53811yescharacteristic
396C22×C11#53811yescharacteristic
397C22×C11#53811yescharacteristic
398C22×C11#54111yescharacteristic
399C22×C11#54111yescharacteristic
400C22×C11#54111yescharacteristic
401C22×C11#54111yescharacteristic
402C22×C11#54111yescharacteristic
403C22×C11#54211yescharacteristic
404C22×C11#54211yescharacteristic
405C22×C11#54211yescharacteristic
406C22×C11#54211yescharacteristic
407C22×C11#54211yescharacteristic
408C22×C11#55211yescharacteristic
409C22×C11#55211yescharacteristic
410C22×C11#55211yescharacteristic
411C22×C11#55211yescharacteristic
412C22×C11#55211yescharacteristic
413C22×C11#55311yescharacteristic
414C22×C11#55311yescharacteristic
415C22×C11#55311yescharacteristic
416C22×C11#55311yescharacteristic
417C22×C11#55311yescharacteristic
418C22×C11#56211yescharacteristic
419C22×C11#56211yescharacteristic
420C22×C11#56211yescharacteristic
421C22×C11#56211yescharacteristic
422C22×C11#56211yescharacteristic
423C22×C11#56311yescharacteristic
424C22×C11#56311yescharacteristic
425C22×C11#56311yescharacteristic
426C22×C11#56311yescharacteristic
427C22×C11#56311yescharacteristic
428C4×C11—42no—
429C4×C11—42no—
430C4×C11—42no—
431C4×C11—81no—
432C4×C11—81no—
433C4×C11—81no—
434C4×C11—81no—
435Dic11—42no—
436Dic11—42no—
437Dic11—81no—
438Dic11—81no—
439Dic11—81no—
440Dic11—81no—
441Dic11—81no—
442Dic11—81no—
443C23×C4—111no—
444C23×C4—111no—
445C23×C4—111no—
446C23×C4—111no—
447C23×C4—111no—
448C23×C4—111no—
449C23×C4—111no—
450C23×C4—111no—
451C23×C4C22×D1111yescharacteristic
452C23×C4C22×D1111yescharacteristic
453C23×C4C22×D1111yescharacteristic
454C23×C4C22×D1111yescharacteristic
455C23×C4C22×D1111yescharacteristic
456C23×C4C22×D1111yescharacteristic
457C23×C4C22×D1111yescharacteristic
458C2×C4⋊C4—22no—
459C2×C4⋊C4—41no—
460C2×C4⋊C4—41no—
461C2×C4⋊C4—222no—
462C2×C4⋊C4—222no—
463C2×C4⋊C4—222no—
464C2×C4⋊C4—222no—
465C2×C4⋊C4—441no—
466C2×C4⋊C4—441no—
467C2×C4⋊C4—441no—
468C2×C4⋊C4—441no—
469C2×C4⋊C4—441no—
470C2×C4⋊C4—441no—
471C2×C4⋊C4—441no—
472C2×C4⋊C4—441no—
473#95—22no—
474#95—22no—
475#95—41no—
476#95—41no—
477#95—41no—
478#95—41no—
479#95—222no—
480#95—222no—
481#95—222no—
482#95—222no—
483#95—222no—
484#95—222no—
485#95—222no—
486#95—222no—
487#95—441no—
488#95—441no—
489#95—441no—
490#95—441no—
491#95—441no—
492#95—441no—
493#95—441no—
494#95—441no—
495#95—441no—
496#95—441no—
497#95—441no—
498#95—441no—
499#95—441no—
500#95—441no—
501#95—441no—
502#95—441no—
503C2×C11#276611yescharacteristic
504C2×C11#276611yescharacteristic
505C2×C11#276611yescharacteristic
506C2×C11#276611yescharacteristic
507C2×C11#276611yescharacteristic
508C2×C11#277911yescharacteristic
509C2×C11#277911yescharacteristic
510C2×C11#277911yescharacteristic
511C2×C11#277911yescharacteristic
512C2×C11#277911yescharacteristic
513C2×C11#283111yescharacteristic
514C2×C11#283111yescharacteristic
515C2×C11#283111yescharacteristic
516C2×C11#283111yescharacteristic
517C2×C11#283111yescharacteristic
518C24C23×D1111yescharacteristic
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
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—112no—
566C22×C4—112no—
567C22×C4—221no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4—221no—
576C22×C4—221no—
577C22×C4—221no—
578C22×C4—221no—
579C22×C4—221no—
580C22×C4—221no—
581C22×C4—221no—
582C22×C4—221no—
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#433912yes—
622C22×C4#434112yes—
623C22×C4#434312yes—
624C4⋊C4—44no—
625C4⋊C4—444no—
626C4⋊C4—444no—
627C4⋊C4—444no—
628C4⋊C4—444no—
629C11#1730111yescharacteristic, complemented, Sylow
630C23C2×#433911yescharacteristic
631C23C2×#434111yescharacteristic
632C23#6703711yescharacteristic
633C23#6703711yescharacteristic
634C23#6703711yescharacteristic
635C23C2×#434311yescharacteristic
636C23#6704011yescharacteristic
637C23#41×D1111yescharacteristic
638C23#41×D1111yescharacteristic
639C23#6704211yescharacteristic
640C23#6704211yescharacteristic
641C23#6704311yescharacteristic
642C23#6704311yescharacteristic
643C23#6704311yescharacteristic
644C23#6704311yescharacteristic
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
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—222no—
695C2×C4—222no—
696C2×C4—222no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—222no—
700C2×C4—441no—
701C2×C4—441no—
702C2×C4—441no—
703C2×C4—441no—
704C2×C4—441no—
705C2×C4—441no—
706C2×C4—441no—
707C2×C4—441no—
708C2×C4—441no—
709C2×C4—441no—
710C2×C4—441no—
711C2×C4—441no—
712C2×C4—441no—
713C2×C4—441no—
714C2×C4—441no—
715C2×C4—441no—
716C2×C4—441no—
717C2×C4—441no—
718C2×C4—441no—
719C2×C4—441no—
720C2×C4—441no—
721C2×C4—441no—
722C2×C4—441no—
723C2×C4—441no—
724C2×C4—441no—
725C2×C4—441no—
726C2×C4—441no—
727C2×C4—441no—
728C2×C4—441no—
729C2×C4—441no—
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—
750C22#1062304511yescharacteristic
751C22#1062304911yescharacteristic
752C22#1062306211yescharacteristic
753C22#1062309111yescharacteristic
754C22#1062309211yescharacteristic
755C22#1062309611yescharacteristic
756C22#1062311211yescharacteristic
757C22#1062312411yescharacteristic
758C22#1062313211yescharacteristic
759C22#1062314411yescharacteristic
760C22#1062315211yescharacteristic
761C22#1062315611yescharacteristic
762C22#1062317311yescharacteristic
763C22#1062317511yescharacteristic
764C22#1062317711yescharacteristic
765C22#1062317811yescharacteristic
766C22#1062318111yescharacteristic
767C22#1062318211yescharacteristic
768C22#1062319211yescharacteristic
769C22#1062319811yescharacteristic
770C22#1062319811yescharacteristic
771C22#1062320011yescharacteristic
772C22#1062320311yescharacteristic
773C22#1062321311yescharacteristic
774C22#1062321511yescharacteristic
775C22#1062322511yescharacteristic
776C22#1062322611yescharacteristic
777C22#1062322711yescharacteristic
778C22#1062322811yescharacteristic
779C22#1062323011yescharacteristic
780C22#1062323211yescharacteristic
781C22#1062323511yescharacteristic
782C22#1062324111yescharacteristic
783C22#1062324311yescharacteristic
784C22#1062326411yescharacteristic
785C4—42no—
786C4—42no—
787C4—42no—
788C4—81no—
789C4—81no—
790C4—81no—
791C4—81no—
792C4—442no—
793C4—442no—
794C4—881no—
795C4—881no—
796C4—881no—
797C4—881no—
798C4—881no—
799C4—881no—
800C2#1307606211yescharacteristic
801C2#1307606911yescharacteristic
802C2#1307607011yescharacteristic
803C2#1307607111yescharacteristic
804C2#1307607211yescharacteristic
805C2#1307624311yescharacteristic
806C2#1307624911yescharacteristic
807C2#1307625011yescharacteristic
808C2#1307625411yescharacteristic
809C2#1307625511yescharacteristic
810C2#1307676611yescharacteristic
811C2#1307676711yescharacteristic
812C2#1307677111yescharacteristic
813C2#1307677211yescharacteristic
814C2#1307677811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutator, socle, prime radical, cosocleC24×C11C24
FittingC11×#1442C2
hypercenter#1442D11
hypocenterC11#17301
LCSG ▷ C24×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1442

Complements

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

NH ≅ G/Ntype
629. C11#17301semidirect

Maximal subgroups

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

subgroupindex
#130668772
#130668762
#130668742
#130668732
#130668722
#130668712
#130668702
#130668692
#130668682
#130668662
C11×#14422
#1730111