Finite Group Databasebeta

← #14681911

Subgroups — #14681911

Order 2816.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66948C211yesmaximal, characteristic
2C2×#10622278C211yesmaximal, characteristic, complemented
3C2×#10622278C211yesmaximal, characteristic, complemented
4C2×#10622278C211yesmaximal, characteristic, complemented
5C2×#10622278C211yesmaximal, characteristic, complemented
6#13066884C211yesmaximal, characteristic, complemented
7#13066864C211yesmaximal, characteristic, complemented
8#13066864C211yesmaximal, characteristic, complemented
9#13066856C211yesmaximal, characteristic, complemented
10#13066856C211yesmaximal, characteristic, complemented
11(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
12(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
13(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
14(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
15C11×#1445C211yesmaximal, characteristic, complemented
16C23×D44C2211yescharacteristic
17C23×D44C2211yescharacteristic
18C23×D44C2211yescharacteristic
19C23×C4×D11C2211yescharacteristic
20C23×C4×D11C2211yescharacteristic
21C23×C4×D11C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×(C2×D11)⋊C4C2211yescharacteristic
24C22×(C2×D11)⋊C4C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C22×(C2×D11)⋊C4C2211yescharacteristic
29C22×(C2×D11)⋊C4C2211yescharacteristic
30C22×(C2×D11)⋊C4C2211yescharacteristic
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×(C2×D11)⋊C4C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C2×#66948—24no—
36C2×#66948—24no—
37C2×#66948C418yescomplemented
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
51C2×C11⋊#95C2211yescharacteristic
52C2×C11⋊#95C2211yescharacteristic
53C2×C11⋊#95C2211yescharacteristic
54#10622278—24no—
55#10622278—24no—
56#10622278—24no—
57#10622278—24no—
58C24×D11C2311yescharacteristic
59C24×D11C2311yescharacteristic
60C24×D11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×Dic11C2311yescharacteristic
69C23×Dic11C2311yescharacteristic
70C23×Dic11C2311yescharacteristic
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2311yescharacteristic
73C22×D44—22no—
74C22×D44—22no—
75C22×D44—22no—
76C22×D44—22no—
77C22×D44—22no—
78C22×D44—22no—
79C22×D44—22no—
80C22×D44—22no—
81C22×D44—41no—
82C22×D44—41no—
83C22×D44—41no—
84C22×D44—41no—
85C22×D44—41no—
86C22×D44—41no—
87C22×D44—41no—
88C22×D44—41no—
89C22×D44C2×C414yes—
90C22×D44C2×C414yescomplemented
91C22×D44C2×C414yescomplemented
92C22×D44D414yes—
93C22×D44D414yes—
94C22×C4×D11—22no—
95C22×C4×D11—22no—
96C22×C4×D11—22no—
97C22×C4×D11—22no—
98C22×C4×D11—22no—
99C22×C4×D11—22no—
100C22×C4×D11—22no—
101C22×C4×D11—22no—
102C22×C4×D11—41no—
103C22×C4×D11—41no—
104C22×C4×D11—41no—
105C22×C4×D11—41no—
106C22×C4×D11—41no—
107C22×C4×D11—41no—
108C22×C4×D11—41no—
109C22×C4×D11—41no—
110C22×C4×D11—41no—
111C22×C4×D11—41no—
112C22×C4×D11—41no—
113C22×C4×D11—41no—
114C22×C4×D11C2×C414yescomplemented
115C2×C11×C4⋊C4—22no—
116C2×C11×C4⋊C4—22no—
117C2×C11×C4⋊C4C2×C414yescomplemented
118C2×(C2×D11)⋊C4—22no—
119C2×(C2×D11)⋊C4—22no—
120C2×(C2×D11)⋊C4—22no—
121C2×(C2×D11)⋊C4—22no—
122C2×(C2×D11)⋊C4—22no—
123C2×(C2×D11)⋊C4—22no—
124C2×(C2×D11)⋊C4—22no—
125C2×(C2×D11)⋊C4—22no—
126C2×(C2×D11)⋊C4—22no—
127C2×(C2×D11)⋊C4—22no—
128C2×(C2×D11)⋊C4—22no—
129C2×(C2×D11)⋊C4—22no—
130C2×(C2×D11)⋊C4—22no—
131C2×(C2×D11)⋊C4—22no—
132C2×(C2×D11)⋊C4—22no—
133C2×(C2×D11)⋊C4—22no—
134C2×(C2×D11)⋊C4—22no—
135C2×(C2×D11)⋊C4—22no—
136C2×(C2×D11)⋊C4—22no—
137C2×(C2×D11)⋊C4—41no—
138C2×(C2×D11)⋊C4—41no—
139C2×(C2×D11)⋊C4—41no—
140C2×(C2×D11)⋊C4—41no—
141C2×(C2×D11)⋊C4—41no—
142C2×(C2×D11)⋊C4—41no—
143C2×(C2×D11)⋊C4—41no—
144C2×(C2×D11)⋊C4—41no—
145C2×(C2×D11)⋊C4—41no—
146C2×(C2×D11)⋊C4—41no—
147C2×(C2×D11)⋊C4—41no—
148C2×(C2×D11)⋊C4—41no—
149C2×(C2×D11)⋊C4—41no—
150C2×(C2×D11)⋊C4—41no—
151C2×(C2×D11)⋊C4C2×C414yescomplemented
152C2×(C2×D11)⋊C4C2×C414yescomplemented
153C2×(C2×D11)⋊C4D414yescomplemented
154#66948—232no—
155C11×#95—22no—
156C11×#95—22no—
157C11×#95—22no—
158C11×#95—22no—
159C11×#95—41no—
160C11×#95—41no—
161C11⋊#95—22no—
162C11⋊#95—22no—
163C11⋊#95—22no—
164C11⋊#95—22no—
165C11⋊#95—41no—
166C11⋊#95—41no—
167C11⋊#95—41no—
168C11⋊#95—41no—
169C11⋊#95—41no—
170C11⋊#95—41no—
171#14417—111nomaximal, Sylow
172C24×C11C2411yescharacteristic
173C23×D11—21no—
174C23×D11—21no—
175C23×D11—21no—
176C23×D11—21no—
177C23×D11—21no—
178C23×D11—21no—
179C23×D11—21no—
180C23×D11—21no—
181C23×D11—21no—
182C23×D11—21no—
183C23×D11—21no—
184C23×D11—21no—
185C23×D11—21no—
186C23×D11—21no—
187C23×D11—21no—
188C23×D11—21no—
189C23×D11—21no—
190C23×D11—21no—
191C23×D11—21no—
192C23×D11—21no—
193C23×D11—21no—
194C23×D11—21no—
195C23×D11—21no—
196C23×D11—21no—
197C23×D11—21no—
198C23×D11—21no—
199C23×D11—21no—
200C23×D11—21no—
201C23×D11—21no—
202C23×D11—21no—
203C23×D11—21no—
204C23×D11—21no—
205C23×D11—21no—
206C23×D11—21no—
207C23×D11—21no—
208C23×D11—21no—
209C23×D11C22×C412yes—
210C23×D11C22×C412yes—
211C23×D11C22×C412yes—
212C23×D11C2×D412yes—
213C23×D11C2×D412yes—
214C23×D11C2×D412yes—
215C23×D11C2×D412yes—
216C23×D11C2×D412yes—
217C23×D11#4112yes—
218C22×C4×C11—21no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11—21no—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—21no—
233C22×C4×C11—21no—
234C22×C4×C11—21no—
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—21no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11C22×C412yes—
261C22×C4×C11C22×C412yes—
262C22×C4×C11C22×C412yes—
263C22×C4×C11C2×D412yes—
264C22×C4×C11C2×D412yes—
265C22×C4×C11C2×D412yes—
266C22×C4×C11#4112yes—
267C22×Dic11—21no—
268C22×Dic11—21no—
269C22×Dic11—21no—
270C22×Dic11—21no—
271C22×Dic11—21no—
272C22×Dic11—21no—
273C22×Dic11—21no—
274C22×Dic11—21no—
275C22×Dic11—21no—
276C22×Dic11—21no—
277C22×Dic11—21no—
278C22×Dic11—21no—
279C22×Dic11—21no—
280C22×Dic11—21no—
281C22×Dic11—21no—
282C22×Dic11—21no—
283C22×Dic11—21no—
284C22×Dic11—21no—
285C22×Dic11—21no—
286C22×Dic11—21no—
287C22×Dic11—21no—
288C22×Dic11—21no—
289C22×Dic11—21no—
290C22×Dic11—21no—
291C22×Dic11—21no—
292C22×Dic11—21no—
293C22×Dic11—21no—
294C22×Dic11—21no—
295C22×Dic11—21no—
296C22×Dic11—21no—
297C22×Dic11—21no—
298C22×Dic11—21no—
299C22×Dic11C22×C412yes—
300C22×Dic11C2×D412yes—
301C22×Dic11#4112yes—
302C2×D44—28no—
303C2×D44—28no—
304C2×D44—28no—
305C2×D44—28no—
306C2×D44—44no—
307C2×D44—44no—
308C2×D44—44no—
309C2×D44—44no—
310C2×D44—44no—
311C2×D44—44no—
312C2×D44—44no—
313C2×D44—44no—
314C2×D44—44no—
315C2×D44—44no—
316C2×D44—44no—
317C2×D44—44no—
318C2×D44—44no—
319C2×D44—44no—
320C2×D44—44no—
321C2×D44—44no—
322C2×D44C22⋊C4116yescomplemented
323C2×C4×D11—28no—
324C2×C4×D11—44no—
325C2×C4×D11—44no—
326C2×C4×D11—44no—
327C2×C4×D11—44no—
328C2×C4×D11—44no—
329C2×C4×D11—44no—
330C2×C4×D11—44no—
331C2×C4×D11—44no—
332C2×C4×D11—44no—
333C2×C4×D11—44no—
334C2×C4×D11—44no—
335C2×C4×D11—44no—
336C2×C4×D11—44no—
337C2×C4×D11—44no—
338C2×C4×D11—44no—
339C2×C4×D11—44no—
340C2×C4×D11—44no—
341C2×C4×D11—44no—
342C2×C4×D11—44no—
343C2×C4×D11—44no—
344C11×C4⋊C4—28no—
345(C2×D11)⋊C4—28no—
346(C2×D11)⋊C4—28no—
347(C2×D11)⋊C4—44no—
348(C2×D11)⋊C4—44no—
349(C2×D11)⋊C4—44no—
350(C2×D11)⋊C4—44no—
351(C2×D11)⋊C4—44no—
352(C2×D11)⋊C4—44no—
353(C2×D11)⋊C4—44no—
354(C2×D11)⋊C4—44no—
355(C2×D11)⋊C4—44no—
356(C2×D11)⋊C4—44no—
357C22×#121—111no—
358C2×#386—111no—
359C2×#386—111no—
360C2×#386—111no—
361C2×#386—111no—
362#1445—111no—
363#1445D1111yescharacteristic, complemented
364#1440—111no—
365#1440—111no—
366#1438—111no—
367#1438—111no—
368C22⋊#95—111no—
369C22⋊#95—111no—
370C22⋊#95—111no—
371C22⋊#95—111no—
372C23×C11C23×C411yescharacteristic
373C23×C11C22×D411yescharacteristic
374C23×C11C22×D411yescharacteristic
375C23×C11C22×D411yescharacteristic
376C23×C11C2×#4111yescharacteristic
377C23×C11C2×#4111yescharacteristic
378C23×C11C2×#4111yescharacteristic
379C23×C11H(5,𝔽2)11yescharacteristic
380C23×C11H(5,𝔽2)11yescharacteristic
381C23×C11H(5,𝔽2)11yescharacteristic
382C23×C11H(5,𝔽2)11yescharacteristic
383C23×C11H(5,𝔽2)11yescharacteristic
384C23×C11H(5,𝔽2)11yescharacteristic
385C23×C11H(5,𝔽2)11yescharacteristic
386C23×C112−1+411yescharacteristic
387C22×D11—22no—
388C22×D11—22no—
389C22×D11—22no—
390C22×D11—22no—
391C22×D11—22no—
392C22×D11—22no—
393C22×D11—22no—
394C22×D11—22no—
395C22×D11—22no—
396C22×D11—22no—
397C22×D11—22no—
398C22×D11—22no—
399C22×D11—22no—
400C22×D11—22no—
401C22×D11—22no—
402C22×D11—22no—
403C22×D11—22no—
404C22×D11—22no—
405C22×D11—22no—
406C22×D11—22no—
407C22×D11—22no—
408C22×D11—22no—
409C22×D11—22no—
410C22×D11—22no—
411C22×D11—22no—
412C22×D11—22no—
413C22×D11—22no—
414C22×D11—22no—
415C22×D11—22no—
416C22×D11—22no—
417C22×D11—22no—
418C22×D11—22no—
419C22×D11—22no—
420C22×D11—22no—
421C22×D11—22no—
422C22×D11—22no—
423C22×D11—22no—
424C22×D11—22no—
425C22×D11—22no—
426C22×D11—22no—
427C22×D11—22no—
428C22×D11—22no—
429C22×D11—22no—
430C22×D11—22no—
431C22×D11—22no—
432C22×D11—22no—
433C22×D11—22no—
434C22×D11—22no—
435C22×D11—22no—
436C22×D11—22no—
437C22×D11—22no—
438C22×D11—22no—
439C22×D11—22no—
440C22×D11—22no—
441C22×D11—41no—
442C22×D11—41no—
443C22×D11—41no—
444C22×D11—41no—
445C22×D11—41no—
446C22×D11—41no—
447C22×D11—41no—
448C22×D11—41no—
449C22×D11—41no—
450C22×D11—41no—
451C22×D11—41no—
452C22×D11—41no—
453C22×D11—41no—
454C22×D11—41no—
455C22×D11—41no—
456C22×D11—41no—
457C22×D11—41no—
458C22×D11—41no—
459C22×D11—41no—
460C22×D11—41no—
461C22×D11—41no—
462C22×D11—41no—
463C22×D11—41no—
464C22×D11—41no—
465C22×D11—41no—
466C22×D11—41no—
467C22×D11—41no—
468C22×D11—41no—
469C22×D11—41no—
470C22×D11—41no—
471C22×D11—41no—
472C22×D11—41no—
473C22×D11—41no—
474C22×D11—41no—
475C22×D11—41no—
476C22×D11—41no—
477C22×D11—41no—
478C22×D11—41no—
479C22×D11—41no—
480C22×D11—41no—
481C22×D11—41no—
482C22×D11—41no—
483C22×D11—41no—
484C22×D11—41no—
485C22×D11—41no—
486C22×D11—41no—
487C22×D11—41no—
488C22×D11—41no—
489C22×D11C2×C22⋊C414yes—
490C22×D11C2×C22⋊C414yes—
491C22×D11C4×D414yes—
492C2×C4×C11—22no—
493C2×C4×C11—22no—
494C2×C4×C11—22no—
495C2×C4×C11—22no—
496C2×C4×C11—22no—
497C2×C4×C11—22no—
498C2×C4×C11—22no—
499C2×C4×C11—22no—
500C2×C4×C11—22no—
501C2×C4×C11—22no—
502C2×C4×C11—22no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—22no—
507C2×C4×C11—22no—
508C2×C4×C11—22no—
509C2×C4×C11—22no—
510C2×C4×C11—41no—
511C2×C4×C11—41no—
512C2×C4×C11—41no—
513C2×C4×C11—41no—
514C2×C4×C11—41no—
515C2×C4×C11—41no—
516C2×C4×C11—41no—
517C2×C4×C11—41no—
518C2×C4×C11—41no—
519C2×C4×C11—41no—
520C2×C4×C11—41no—
521C2×C4×C11—41no—
522C2×C4×C11—41no—
523C2×C4×C11—41no—
524C2×C4×C11—41no—
525C2×C4×C11—41no—
526C2×C4×C11—41no—
527C2×C4×C11—41no—
528C2×C4×C11—41no—
529C2×C4×C11—41no—
530C2×C4×C11—41no—
531C2×C4×C11—41no—
532C2×C4×C11—41no—
533C2×C4×C11—41no—
534C2×C4×C11—41no—
535C2×C4×C11—41no—
536C2×C4×C11—41no—
537C2×C4×C11—41no—
538C2×C4×C11—41no—
539C2×C4×C11—41no—
540C2×C4×C11C2×C22⋊C414yes—
541C2×Dic11—22no—
542C2×Dic11—22no—
543C2×Dic11—22no—
544C2×Dic11—22no—
545C2×Dic11—22no—
546C2×Dic11—22no—
547C2×Dic11—22no—
548C2×Dic11—22no—
549C2×Dic11—22no—
550C2×Dic11—41no—
551C2×Dic11—41no—
552C2×Dic11—41no—
553C2×Dic11—41no—
554C2×Dic11—41no—
555C2×Dic11—41no—
556C2×Dic11—41no—
557C2×Dic11—41no—
558C2×Dic11—41no—
559C2×Dic11—41no—
560C2×Dic11—41no—
561C2×Dic11—41no—
562C2×Dic11—41no—
563C2×Dic11—41no—
564C2×Dic11—41no—
565C2×Dic11—41no—
566C2×Dic11—41no—
567C2×Dic11—41no—
568C2×Dic11—41no—
569C2×Dic11—41no—
570C2×Dic11—41no—
571C2×Dic11—41no—
572C2×Dic11—41no—
573C2×Dic11—41no—
574C2×Dic11—41no—
575C2×Dic11—41no—
576D44—416no—
577D44—416no—
578D44—416no—
579C4×D11—416no—
580C4×D11—416no—
581C4×D11—416no—
582C23×D4—111no—
583C23×D4—111no—
584C23×D4—111no—
585C24×C4—111no—
586C24×C4—111no—
587C24×C4—111no—
588C2×#121—118no—
589C2×#121—224no—
590C2×#121—224no—
591C22×C4⋊C4C2×D1111yescharacteristic
592C22×C22⋊C4—111no—
593C22×C22⋊C4—111no—
594C22×C22⋊C4—111no—
595C22×C22⋊C4—111no—
596C22×C22⋊C4—111no—
597C22×C22⋊C4—111no—
598C22×C22⋊C4—111no—
599C22×C22⋊C4—111no—
600C22×C22⋊C4—111no—
601C22×C22⋊C4—111no—
602C22×C22⋊C4—111no—
603C22×C22⋊C4—111no—
604#386—224no—
605#386—224no—
606#386—224no—
607#386—224no—
608C2×#95—111no—
609C2×#95—111no—
610C2×#95—111no—
611C2×#95—111no—
612C2×#95—111no—
613C2×#95—111no—
614C2×#95—111no—
615C2×#95—111no—
616C2×#95—111no—
617C2×#95—111no—
618C2×#95C2×D1111yescharacteristic
619C2×#95C2×D1111yescharacteristic
620C2×#95C2×D1111yescharacteristic
621C2×#95C2×D1111yescharacteristic
622C2×#95C2×D1111yescharacteristic
623C2×#95C2×D1111yescharacteristic
624C22×C11C22×C22⋊C411yescharacteristic
625C22×C11C2×C4×D411yescharacteristic
626C22×C11C4×#4111yescharacteristic
627C22×C11#51811yescharacteristic
628C22×C11#51811yescharacteristic
629C22×C11#51811yescharacteristic
630C22×C11#52011yescharacteristic
631C22×C11#53411yescharacteristic
632C22×C11#53411yescharacteristic
633C22×C11#53411yescharacteristic
634C22×C11#53411yescharacteristic
635C22×C11#53411yescharacteristic
636C22×C11#53711yescharacteristic
637C22×C11#53811yescharacteristic
638C22×C11#53811yescharacteristic
639C22×C11#53811yescharacteristic
640C22×C11#53911yescharacteristic
641C22×C11#54011yescharacteristic
642C22×C11#54011yescharacteristic
643C22×C11D4211yescharacteristic
644C22×C11D4211yescharacteristic
645C22×C11#54611yescharacteristic
646C22×C11#54611yescharacteristic
647C22×C11#54611yescharacteristic
648C22×C11#54611yescharacteristic
649C22×C11#54611yescharacteristic
650C22×C11#54611yescharacteristic
651C22×C11#54711yescharacteristic
652C22×C11#54711yescharacteristic
653C22×C11#55311yescharacteristic
654C22×C11#55311yescharacteristic
655C22×C11#56011yescharacteristic
656C22×C11#56011yescharacteristic
657C22×C11#56211yescharacteristic
658C22×C11#56211yescharacteristic
659C2×D11—24no—
660C2×D11—24no—
661C2×D11—24no—
662C2×D11—24no—
663C2×D11—24no—
664C2×D11—24no—
665C2×D11—24no—
666C2×D11—24no—
667C2×D11—24no—
668C2×D11—42no—
669C2×D11—42no—
670C2×D11—42no—
671C2×D11—42no—
672C2×D11—42no—
673C2×D11—42no—
674C2×D11—42no—
675C2×D11—42no—
676C2×D11—42no—
677C2×D11—42no—
678C2×D11—42no—
679C2×D11—42no—
680C2×D11—42no—
681C2×D11—42no—
682C2×D11—42no—
683C2×D11—42no—
684C2×D11—42no—
685C2×D11—42no—
686C2×D11—42no—
687C2×D11—42no—
688C2×D11—42no—
689C2×D11—42no—
690C2×D11—42no—
691C2×D11—42no—
692C2×D11—42no—
693C2×D11—42no—
694C2×D11—42no—
695C2×D11—42no—
696C2×D11—42no—
697C2×D11—42no—
698C2×D11—42no—
699C2×D11—42no—
700C2×D11—42no—
701C2×D11—42no—
702C2×D11—42no—
703C2×D11—42no—
704C4×C11—24no—
705C4×C11—42no—
706C4×C11—42no—
707C4×C11—42no—
708C4×C11—42no—
709C4×C11—81no—
710C4×C11—81no—
711Dic11—42no—
712Dic11—42no—
713Dic11—42no—
714Dic11—81no—
715Dic11—81no—
716C25—111no—
717C25—111no—
718C25—111no—
719C22×D4—114no—
720C22×D4—114no—
721C22×D4—114no—
722C22×D4—114no—
723C22×D4—114no—
724C22×D4—222no—
725C22×D4—222no—
726C22×D4—222no—
727C22×D4—222no—
728C22×D4—222no—
729C22×D4—222no—
730C22×D4—222no—
731C22×D4—222no—
732C22×D4—441no—
733C22×D4—441no—
734C22×D4—441no—
735C22×D4—441no—
736C22×D4—441no—
737C22×D4—441no—
738C22×D4—441no—
739C22×D4—441no—
740C23×C4—111no—
741C23×C4—111no—
742C23×C4—111no—
743C23×C4—114no—
744C23×C4—111no—
745C23×C4—111no—
746C23×C4—222no—
747C23×C4—222no—
748C23×C4—222no—
749C23×C4—222no—
750C23×C4—222no—
751C23×C4—222no—
752C23×C4—222no—
753C23×C4—222no—
754C23×C4—441no—
755C23×C4—441no—
756C23×C4—441no—
757C23×C4—441no—
758C23×C4—441no—
759C23×C4—441no—
760C23×C4—441no—
761C23×C4—441no—
762C23×C4—441no—
763C23×C4—441no—
764C23×C4—441no—
765C23×C4—441no—
766C23×C4C22×D1111yescharacteristic
767C23×C4C22×D1111yescharacteristic
768C23×C4C22×D1111yescharacteristic
769C23×C4C22×D1111yescharacteristic
770C23×C4C22×D1111yescharacteristic
771C23×C4C22×D1111yescharacteristic
772C23×C4C22×D1111yescharacteristic
773#121—2232no—
774C2×C4⋊C4—22no—
775C2×C4⋊C4—22no—
776C2×C4⋊C4C4×D1114yescomplemented
777C2×C22⋊C4—114no—
778C2×C22⋊C4—114no—
779C2×C22⋊C4—114no—
780C2×C22⋊C4—222no—
781C2×C22⋊C4—222no—
782C2×C22⋊C4—222no—
783C2×C22⋊C4—222no—
784C2×C22⋊C4—222no—
785C2×C22⋊C4—222no—
786C2×C22⋊C4—222no—
787C2×C22⋊C4—222no—
788C2×C22⋊C4—222no—
789C2×C22⋊C4—222no—
790C2×C22⋊C4—222no—
791C2×C22⋊C4—222no—
792C2×C22⋊C4—222no—
793C2×C22⋊C4—222no—
794C2×C22⋊C4—222no—
795C2×C22⋊C4—222no—
796C2×C22⋊C4—222no—
797C2×C22⋊C4—222no—
798C2×C22⋊C4—222no—
799C2×C22⋊C4—441no—
800C2×C22⋊C4—441no—
801C2×C22⋊C4—441no—
802C2×C22⋊C4—441no—
803C2×C22⋊C4—441no—
804C2×C22⋊C4—441no—
805C2×C22⋊C4—441no—
806C2×C22⋊C4—441no—
807C2×C22⋊C4—441no—
808C2×C22⋊C4—441no—
809C2×C22⋊C4—441no—
810C2×C22⋊C4—441no—
811C2×C22⋊C4—441no—
812C2×C22⋊C4—441no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—41no—
818#95—41no—
819#95—222no—
820#95—222no—
821#95—222no—
822#95—222no—
823#95—441no—
824#95—441no—
825#95—441no—
826#95—441no—
827#95—441no—
828#95—441no—
829C2×C11#230811yescharacteristic
830C2×C11#232511yescharacteristic
831C2×C11#233311yescharacteristic
832C2×C11D4×C22⋊C411yescharacteristic
833C2×C11#233911yescharacteristic
834C2×C11#236411yescharacteristic
835C2×C11#237711yescharacteristic
836C2×C11#266811yescharacteristic
837C2×C11#266811yescharacteristic
838C2×C11#267111yescharacteristic
839C2×C11#267111yescharacteristic
840C2×C11#268811yescharacteristic
841C2×C11#268811yescharacteristic
842C2×C11#270811yescharacteristic
843C2×C11#270811yescharacteristic
844D11—44no—
845D11—44no—
846D11—44no—
847C24—112no—
848C24—112no—
849C24—112no—
850C24—112no—
851C24—112no—
852C24—112no—
853C24—112no—
854C24—112no—
855C24—112no—
856C24—221no—
857C24—221no—
858C24—221no—
859C24—221no—
860C24—221no—
861C24—221no—
862C24—221no—
863C24—221no—
864C24—221no—
865C24—221no—
866C24—221no—
867C24—221no—
868C24—221no—
869C24—221no—
870C24—221no—
871C24—221no—
872C24—221no—
873C24—221no—
874C24—221no—
875C24—221no—
876C24—221no—
877C24—221no—
878C24—221no—
879C24—221no—
880C24—221no—
881C24—221no—
882C24—221no—
883C24—221no—
884C24—221no—
885C24—221no—
886C24—221no—
887C24—221no—
888C24—221no—
889C24—221no—
890C24—221no—
891C24—221no—
892C24C23×D1111yescharacteristic
893C2×D4—1116no—
894C2×D4—228no—
895C2×D4—228no—
896C2×D4—228no—
897C2×D4—228no—
898C2×D4—444no—
899C2×D4—444no—
900C2×D4—444no—
901C2×D4—444no—
902C2×D4—444no—
903C2×D4—444no—
904C2×D4—444no—
905C2×D4—444no—
906C2×D4—444no—
907C2×D4—444no—
908C2×D4—444no—
909C2×D4—444no—
910C2×D4—444no—
911C2×D4—444no—
912C2×D4—444no—
913C2×D4—444no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—112no—
957C22×C4—112no—
958C22×C4—112no—
959C22×C4—221no—
960C22×C4—221no—
961C22×C4—221no—
962C22×C4—221no—
963C22×C4—221no—
964C22×C4—221no—
965C22×C4—221no—
966C22×C4—221no—
967C22×C4—221no—
968C22×C4—221no—
969C22×C4—221no—
970C22×C4—221no—
971C22×C4—221no—
972C22×C4—221no—
973C22×C4—221no—
974C22×C4—221no—
975C22×C4—221no—
976C22×C4—221no—
977C22×C4—228no—
978C22×C4—221no—
979C22×C4—221no—
980C22×C4—221no—
981C22×C4—221no—
982C22×C4—221no—
983C22×C4—221no—
984C22×C4—221no—
985C22×C4—221no—
986C22×C4—221no—
987C22×C4—221no—
988C22×C4—221no—
989C22×C4—221no—
990C22×C4—221no—
991C22×C4—221no—
992C22×C4—444no—
993C22×C4—444no—
994C22×C4—444no—
995C22×C4—444no—
996C22×C4—444no—
997C22×C4—444no—
998C22×C4—444no—
999C22×C4—444no—
1000C22×C4—444no—
1001C22×C4—444no—
1002C22×C4—444no—
1003C22×C4—444no—
1004C22×C4—444no—
1005C22×C4—444no—
1006C22×C4—444no—
1007C22×C4—444no—
1008C22×C4—444no—
1009C22×C4—444no—
1010C22×C4—444no—
1011C22×C4—444no—
1012C22×C4C2×C4×D1112yes—
1013C22×C4C2×C4×D1112yes—
1014C22×C4C2×C4×D1112yes—
1015C22×C4D4×D1112yes—
1016C22×C4D4×D1112yes—
1017C22×C4D4×D1112yes—
1018C22×C4#434312yes—
1019C4⋊C4—28no—
1020C22⋊C4—228no—
1021C22⋊C4—228no—
1022C22⋊C4—444no—
1023C22⋊C4—444no—
1024C22⋊C4—444no—
1025C22⋊C4—444no—
1026C22⋊C4—444no—
1027C22⋊C4—444no—
1028C22⋊C4—444no—
1029C22⋊C4—444no—
1030C22⋊C4—444no—
1031C22⋊C4—444no—
1032C11#1441711yescharacteristic, complemented, Sylow
1033C23—114no—
1034C23—114no—
1035C23—114no—
1036C23—222no—
1037C23—222no—
1038C23—222no—
1039C23—222no—
1040C23—222no—
1041C23—222no—
1042C23—222no—
1043C23—222no—
1044C23—222no—
1045C23—222no—
1046C23—222no—
1047C23—222no—
1048C23—222no—
1049C23—222no—
1050C23—222no—
1051C23—222no—
1052C23—222no—
1053C23—222no—
1054C23—222no—
1055C23—222no—
1056C23—222no—
1057C23—222no—
1058C23—222no—
1059C23—222no—
1060C23—222no—
1061C23—222no—
1062C23—222no—
1063C23—222no—
1064C23—222no—
1065C23—222no—
1066C23—222no—
1067C23—222no—
1068C23—222no—
1069C23—222no—
1070C23—222no—
1071C23—222no—
1072C23—222no—
1073C23—222no—
1074C23—222no—
1075C23—222no—
1076C23—222no—
1077C23—222no—
1078C23—222no—
1079C23—222no—
1080C23—222no—
1081C23—222no—
1082C23—222no—
1083C23—222no—
1084C23—222no—
1085C23—222no—
1086C23—222no—
1087C23—222no—
1088C23—222no—
1089C23—222no—
1090C23—441no—
1091C23—441no—
1092C23—441no—
1093C23—441no—
1094C23—441no—
1095C23—441no—
1096C23—441no—
1097C23—441no—
1098C23—441no—
1099C23—441no—
1100C23—441no—
1101C23—441no—
1102C23—441no—
1103C23—441no—
1104C23—441no—
1105C23—441no—
1106C23—441no—
1107C23—441no—
1108C23—441no—
1109C23—441no—
1110C23—441no—
1111C23—441no—
1112C23—441no—
1113C23—441no—
1114C23—441no—
1115C23—441no—
1116C23—441no—
1117C23—441no—
1118C23—441no—
1119C23—441no—
1120C23—441no—
1121C23—441no—
1122C23—441no—
1123C23—441no—
1124C23—441no—
1125C23—441no—
1126C23—441no—
1127C23—441no—
1128C23—441no—
1129C23—441no—
1130C23—441no—
1131C23—441no—
1132C23—441no—
1133C23—441no—
1134C23—441no—
1135C23—441no—
1136C23—441no—
1137C23—441no—
1138C23C22×C4×D1111yescharacteristic
1139C23C2×D4×D1111yescharacteristic
1140C23C2×D4×D1111yescharacteristic
1141C23C2×D4×D1111yescharacteristic
1142C23#6703711yescharacteristic
1143C23C2×#434311yescharacteristic
1144C23#6704011yescharacteristic
1145C23#41×D1111yescharacteristic
1146C23#41×D1111yescharacteristic
1147C23#6704211yescharacteristic
1148C23#6704211yescharacteristic
1149C23#6704211yescharacteristic
1150C23#6704211yescharacteristic
1151C23#6704211yescharacteristic
1152C23#6704211yescharacteristic
1153D4—4416no—
1154D4—4416no—
1155D4—4416no—
1156C2×C4—22no—
1157C2×C4—22no—
1158C2×C4—22no—
1159C2×C4—22no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—22no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—22no—
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—41no—
1197C2×C4—41no—
1198C2×C4—41no—
1199C2×C4—41no—
1200C2×C4—41no—
1201C2×C4—41no—
1202C2×C4—41no—
1203C2×C4—41no—
1204C2×C4—222no—
1205C2×C4—222no—
1206C2×C4—222no—
1207C2×C4—222no—
1208C2×C4—222no—
1209C2×C4—222no—
1210C2×C4—222no—
1211C2×C4—222no—
1212C2×C4—222no—
1213C2×C4—4416no—
1214C2×C4—4416no—
1215C2×C4—4416no—
1216C2×C4—441no—
1217C2×C4—441no—
1218C2×C4—441no—
1219C2×C4—441no—
1220C2×C4—441no—
1221C2×C4—441no—
1222C2×C4—441no—
1223C2×C4—441no—
1224C2×C4—441no—
1225C2×C4—441no—
1226C2×C4—441no—
1227C2×C4—441no—
1228C2×C4—441no—
1229C2×C4—441no—
1230C2×C4—441no—
1231C2×C4—441no—
1232C2×C4—441no—
1233C2×C4—441no—
1234C2×C4—441no—
1235C2×C4—441no—
1236C2×C4—441no—
1237C2×C4—441no—
1238C2×C4—441no—
1239C2×C4—441no—
1240C2×C4—441no—
1241C2×C4—441no—
1242C2×C4C22⋊C4×D1114yes—
1243C22—224no—
1244C22—224no—
1245C22—224no—
1246C22—224no—
1247C22—224no—
1248C22—224no—
1249C22—224no—
1250C22—224no—
1251C22—224no—
1252C22—442no—
1253C22—442no—
1254C22—442no—
1255C22—442no—
1256C22—442no—
1257C22—442no—
1258C22—442no—
1259C22—442no—
1260C22—442no—
1261C22—442no—
1262C22—442no—
1263C22—442no—
1264C22—442no—
1265C22—442no—
1266C22—442no—
1267C22—442no—
1268C22—442no—
1269C22—442no—
1270C22—442no—
1271C22—442no—
1272C22—442no—
1273C22—442no—
1274C22—442no—
1275C22—442no—
1276C22—442no—
1277C22—442no—
1278C22—442no—
1279C22—442no—
1280C22—442no—
1281C22—442no—
1282C22—442no—
1283C22—442no—
1284C22—442no—
1285C22—442no—
1286C22—442no—
1287C22—442no—
1288C22C2×C22⋊C4×D1111yescharacteristic
1289C22#1062305211yescharacteristic
1290C22#1062305211yescharacteristic
1291C22C4×D4×D1111yescharacteristic
1292C22#1062307611yescharacteristic
1293C22C4×#434311yescharacteristic
1294C22#1062310511yescharacteristic
1295C22#1062314011yescharacteristic
1296C22#1062314311yescharacteristic
1297C22#1062316011yescharacteristic
1298C22#1062316111yescharacteristic
1299C22#1062316111yescharacteristic
1300C22#1062316211yescharacteristic
1301C22#1062317511yescharacteristic
1302C22#1062317811yescharacteristic
1303C22#1062318411yescharacteristic
1304C22#1062318411yescharacteristic
1305C22#1062318411yescharacteristic
1306C22#1062318411yescharacteristic
1307C22#1062318411yescharacteristic
1308C22#1062318511yescharacteristic
1309C22#1062319411yescharacteristic
1310C22#1062319711yescharacteristic
1311C22#1062320711yescharacteristic
1312C22#1062320711yescharacteristic
1313C22#1062322311yescharacteristic
1314C22#1062322611yescharacteristic
1315C22#1062322911yescharacteristic
1316C22#1062323111yescharacteristic
1317C22#1062323511yescharacteristic
1318C22#1062323511yescharacteristic
1319C22#1062324011yescharacteristic
1320C22#1062324211yescharacteristic
1321C22#1062324811yescharacteristic
1322C22#1062325711yescharacteristic
1323C4—24no—
1324C4—42no—
1325C4—42no—
1326C4—42no—
1327C4—42no—
1328C4—81no—
1329C4—81no—
1330C4—442no—
1331C4—442no—
1332C4—442no—
1333C4—881no—
1334C4—881no—
1335C2—444no—
1336C2—444no—
1337C2—444no—
1338C2#1307119311yescharacteristic
1339C2#1307131511yescharacteristic
1340C2#1307138011yescharacteristic
1341C2#1307143711yescharacteristic
1342C2#1307144511yescharacteristic
1343C2#1307166211yescharacteristic
1344C2#1307177111yescharacteristic
1345C2#1307482511yescharacteristic
1346C2#1307482611yescharacteristic
1347C2#1307485711yescharacteristic
1348C2#1307485911yescharacteristic
1349C2#1307505711yescharacteristic
1350C2#1307505911yescharacteristic
1351C2#1307533911yescharacteristic
1352C2#1307534111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1445C2
socle, cosocleC24×C11C24
prime radicalC22×#66948C2
hypercenter#1445D11
hypocenterC11#14417
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1445

Complements

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

NH ≅ G/Ntype
2. C2×#10622278C2semidirect
3. C2×#10622278C2semidirect
4. C2×#10622278C2semidirect
5. C2×#10622278C2semidirect
6. #13066884C2semidirect
7. #13066864C2semidirect
8. #13066864C2semidirect
9. #13066856C2semidirect
10. #13066856C2semidirect
11. (C2×D11)⋊#95C2semidirect
12. (C2×D11)⋊#95C2semidirect
13. (C2×D11)⋊#95C2semidirect
14. (C2×D11)⋊#95C2semidirect
15. C11×#1445C2semidirect
37. C2×#66948C4semidirect
90. C22×D44C2×C4semidirect
91. C22×D44C2×C4semidirect
114. C22×C4×D11C2×C4semidirect
117. C2×C11×C4⋊C4C2×C4semidirect
151. C2×(C2×D11)⋊C4C2×C4semidirect
152. C2×(C2×D11)⋊C4C2×C4semidirect
153. C2×(C2×D11)⋊C4D4semidirect
322. C2×D44C22⋊C4semidirect
363. #1445D11semidirect
776. C2×C4⋊C4C4×D11semidirect
1032. C11#14417semidirect

Maximal subgroups

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

subgroupindex
C22×#669482
C2×#106222782
#130668842
#130668642
#130668562
(C2×D11)⋊#952
C11×#14452
#1441711