Finite Group Databasebeta

← C11×#11316 #14588509

Subgroups — C11×#11316 #14588509

Order 2816.

770 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#340C211yesmaximal, characteristic
2C2×C11×#340C211yesmaximal, characteristic
3C2×C11×#340C211yesmaximal, characteristic
4C2×C11×#340C211yesmaximal, characteristic
5C2×C11×#336C211yesmaximal, characteristic
6C11×C4⋊#95C211yesmaximal, characteristic
7C11×C4⋊#95C211yesmaximal, characteristic
8C23×C8×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C11×C4⋊C4C2211yescharacteristic
12C22×C11×C4⋊C4C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C42×C11C2211yescharacteristic
15C2×C11×#95—21no—
16C2×C11×#95—21no—
17C2×C11×#95—21no—
18C2×C11×#95—21no—
19C11×#340—22no—
20C11×#340—22no—
21C11×#340—22no—
22C11×#340C414yescomplemented
23C11×#336—22no—
24C23×C4×C11—21no—
25C23×C4×C11—21no—
26C23×C4×C11—21no—
27C23×C4×C11—21no—
28C23×C4×C11D411yescharacteristic
29C23×C4×C11D411yescharacteristic
30C23×C4×C11C2311yescharacteristic
31C22×C8×C11—21no—
32C22×C8×C11—21no—
33C22×C8×C11—21no—
34C22×C8×C11—21no—
35C22×C8×C11—21no—
36C22×C8×C11—21no—
37C22×C8×C11—21no—
38C22×C8×C11—21no—
39C22×C8×C11—21no—
40C22×C8×C11—21no—
41C22×C8×C11—21no—
42C22×C8×C11—21no—
43C22×C8×C11C2×C412yes—
44C22×C8×C11D412yes—
45C2×C11×C4⋊C4—21no—
46C2×C11×C4⋊C4—21no—
47C2×C11×C4⋊C4—21no—
48C2×C11×C4⋊C4—21no—
49C2×C11×C4⋊C4—21no—
50C2×C11×C4⋊C4—21no—
51C2×C11×C4⋊C4—21no—
52C2×C11×C4⋊C4—21no—
53C2×C11×C4⋊C4—21no—
54C2×C11×C4⋊C4—21no—
55C2×C11×C4⋊C4—21no—
56C2×C11×C4⋊C4—21no—
57C2×C11×C4⋊C4—21no—
58C2×C11×C4⋊C4—21no—
59C2×C11×C4⋊C4—21no—
60C2×C11×C4⋊C4—21no—
61C2×C11×C4⋊C4—21no—
62C2×C11×C4⋊C4—21no—
63C2×C11×C4⋊C4—21no—
64C2×C11×C4⋊C4—21no—
65C2×C11×C4⋊C4C2×C412yes—
66C2×C11×C4⋊C4C2×C412yes—
67C2×C11×C4⋊C4D412yes—
68C2×C11×C4⋊C4Q812yes—
69C2×C42×C11—21no—
70C2×C42×C11—21no—
71C2×C42×C11—21no—
72C2×C42×C11—21no—
73C2×C42×C11—21no—
74C2×C42×C11—21no—
75C11×#95—42no—
76C11×#95—42no—
77C11×#95—42no—
78C11×#95—42no—
79#11316C1111yesmaximal, characteristic, direct product factor, Sylow
80C24×C11C2×D411yescharacteristic
81C22×C4×C11—21no—
82C22×C4×C11—21no—
83C22×C4×C11—21no—
84C22×C4×C11—21no—
85C22×C4×C11—21no—
86C22×C4×C11—21no—
87C22×C4×C11—21no—
88C22×C4×C11—21no—
89C22×C4×C11—21no—
90C22×C4×C11—21no—
91C22×C4×C11—21no—
92C22×C4×C11—21no—
93C22×C4×C11—22no—
94C22×C4×C11—22no—
95C22×C4×C11—22no—
96C22×C4×C11—22no—
97C22×C4×C11—41no—
98C22×C4×C11—41no—
99C22×C4×C11—41no—
100C22×C4×C11—41no—
101C22×C4×C11—41no—
102C22×C4×C11—41no—
103C22×C4×C11—41no—
104C22×C4×C11—41no—
105C22×C4×C11—41no—
106C22×C4×C11—41no—
107C22×C4×C11—41no—
108C22×C4×C11—41no—
109C22×C4×C11—41no—
110C22×C4×C11—41no—
111C22×C4×C11—41no—
112C22×C4×C11—41no—
113C22×C4×C11—41no—
114C22×C4×C11—41no—
115C22×C4×C11—41no—
116C22×C4×C11—41no—
117C22×C4×C11—41no—
118C22×C4×C11—41no—
119C22×C4×C11—41no—
120C22×C4×C11—41no—
121C22×C4×C11SD1612yes—
122C22×C4×C11Q1612yes—
123C22×C4×C11C22×C411yescharacteristic
124C22×C4×C11C2×D411yescharacteristic
125C22×C4×C11C2×D411yescharacteristic
126C22×C4×C11C2×Q811yescharacteristic
127C22×C4×C11#4111yescharacteristic
128C22×C4×C11#4111yescharacteristic
129C22×C4×C11#4111yescharacteristic
130C22×C4×C11#4111yescharacteristic
131C22×C4×C11#4111yescharacteristic
132C22×C4×C11#4111yescharacteristic
133C22×C4×C11#4111yescharacteristic
134C22×C4×C11#4111yescharacteristic
135C22×C4×C11#4111yescharacteristic
136C22×C4×C11#4111yescharacteristic
137C2×C8×C11—22no—
138C2×C8×C11—22no—
139C2×C8×C11—22no—
140C2×C8×C11—22no—
141C2×C8×C11—22no—
142C2×C8×C11—22no—
143C2×C8×C11—41no—
144C2×C8×C11—41no—
145C2×C8×C11—41no—
146C2×C8×C11—41no—
147C2×C8×C11—41no—
148C2×C8×C11—41no—
149C2×C8×C11—41no—
150C2×C8×C11—41no—
151C11×C4⋊C4—22no—
152C11×C4⋊C4—22no—
153C11×C4⋊C4—22no—
154C11×C4⋊C4—22no—
155C11×C4⋊C4—22no—
156C11×C4⋊C4—22no—
157C11×C4⋊C4—22no—
158C11×C4⋊C4—22no—
159C11×C4⋊C4—41no—
160C11×C4⋊C4—41no—
161C11×C4⋊C4—41no—
162C11×C4⋊C4—41no—
163C11×C4⋊C4—41no—
164C11×C4⋊C4—41no—
165C11×C4⋊C4—41no—
166C11×C4⋊C4—41no—
167C42×C11—41no—
168C42×C11—41no—
169C42×C11—41no—
170C42×C11—41no—
171C2×#340C2×C1111yescharacteristic
172C2×#340C2×C1111yescharacteristic
173C2×#340C2×C1111yescharacteristic
174C2×#340C2×C1111yescharacteristic
175C2×#336C2×C1111yescharacteristic
176C4⋊#95C2×C1111yescharacteristic
177C4⋊#95C2×C1111yescharacteristic
178C23×C11C4×D411yescharacteristic
179C23×C11#12111yescharacteristic
180C23×C11#12111yescharacteristic
181C23×C11C22⋊Q811yescharacteristic
182C23×C11#12311yescharacteristic
183C23×C11#12311yescharacteristic
184C23×C11#12411yescharacteristic
185C23×C11C2×SD1611yescharacteristic
186C23×C11C2×Q1611yescharacteristic
187C23×C11#13511yescharacteristic
188C23×C11#13511yescharacteristic
189C23×C11AGL(1,ℤ/8)11yescharacteristic
190C23×C11AGL(1,ℤ/8)11yescharacteristic
191C23×C11AGL(1,ℤ/8)11yescharacteristic
192C23×C11#13711yescharacteristic
193C2×C4×C11—22no—
194C2×C4×C11—22no—
195C2×C4×C11—22no—
196C2×C4×C11—22no—
197C2×C4×C11—22no—
198C2×C4×C11—22no—
199C2×C4×C11—41no—
200C2×C4×C11—41no—
201C2×C4×C11—41no—
202C2×C4×C11—41no—
203C2×C4×C11—41no—
204C2×C4×C11—41no—
205C2×C4×C11—41no—
206C2×C4×C11—41no—
207C2×C4×C11—42no—
208C2×C4×C11—42no—
209C2×C4×C11—42no—
210C2×C4×C11—42no—
211C2×C4×C11—42no—
212C2×C4×C11—42no—
213C2×C4×C11—42no—
214C2×C4×C11—42no—
215C2×C4×C11—42no—
216C2×C4×C11—42no—
217C2×C4×C11—42no—
218C2×C4×C11—42no—
219C2×C4×C11—81no—
220C2×C4×C11—81no—
221C2×C4×C11—81no—
222C2×C4×C11—81no—
223C2×C4×C11—81no—
224C2×C4×C11—81no—
225C2×C4×C11—81no—
226C2×C4×C11—81no—
227C2×C4×C11—81no—
228C2×C4×C11—81no—
229C2×C4×C11—81no—
230C2×C4×C11—81no—
231C2×C4×C11—81no—
232C2×C4×C11—81no—
233C2×C4×C11—81no—
234C2×C4×C11—81no—
235C2×C4×C11#11711yescharacteristic
236C2×C4×C11#11711yescharacteristic
237C2×C4×C11#11711yescharacteristic
238C2×C4×C11C4×D411yescharacteristic
239C2×C4×C11C4×D411yescharacteristic
240C2×C4×C11C4×Q811yescharacteristic
241C2×C4×C11#12111yescharacteristic
242C2×C4×C11C22⋊Q811yescharacteristic
243C2×C4×C11C22⋊Q811yescharacteristic
244C2×C4×C11#12311yescharacteristic
245C2×C4×C11#12311yescharacteristic
246C2×C4×C11#12311yescharacteristic
247C2×C4×C11#12311yescharacteristic
248C2×C4×C11#12411yescharacteristic
249C2×C4×C11#12411yescharacteristic
250C2×C4×C11#12511yescharacteristic
251C2×C4×C11#12511yescharacteristic
252C2×C4×C11#12511yescharacteristic
253C2×C4×C11#12611yescharacteristic
254C2×C4×C11#12611yescharacteristic
255C2×C4×C11#12611yescharacteristic
256C2×C4×C11#12611yescharacteristic
257C2×C4×C11#12611yescharacteristic
258C2×C4×C11#12611yescharacteristic
259C2×C4×C11#12611yescharacteristic
260C2×C4×C11#12611yescharacteristic
261C2×C4×C11#12611yescharacteristic
262C2×C4×C11#12611yescharacteristic
263C8×C11—42no—
264C8×C11—42no—
265C23×C8C22×C1111yescharacteristic
266C23×C8C22×C1111yescharacteristic
267C22×C4⋊C4C22×C1111yescharacteristic
268C22×C4⋊C4C22×C1111yescharacteristic
269C22×C4⋊C4C22×C1111yescharacteristic
270C22×C4⋊C4C22×C1111yescharacteristic
271C22×C42C22×C1111yescharacteristic
272C2×#95—21no—
273C2×#95—21no—
274C2×#95—21no—
275C2×#95—21no—
276#340—22no—
277#340—22no—
278#340—22no—
279#340C4×C1114yescomplemented
280#336—22no—
281C22×C11#38711yescharacteristic
282C22×C11#38811yescharacteristic
283C22×C11#38811yescharacteristic
284C22×C11#39611yescharacteristic
285C22×C11#39711yescharacteristic
286C22×C11#39711yescharacteristic
287C22×C11#40011yescharacteristic
288C22×C11C4×SD1611yescharacteristic
289C22×C11C4×Q1611yescharacteristic
290C22×C11#44011yescharacteristic
291C22×C11#44211yescharacteristic
292C22×C11#46011yescharacteristic
293C22×C11#46211yescharacteristic
294C22×C11#46311yescharacteristic
295C22×C11#46311yescharacteristic
296C22×C11#46511yescharacteristic
297C22×C11#46711yescharacteristic
298C22×C11#46811yescharacteristic
299C22×C11#46911yescharacteristic
300C22×C11#47611yescharacteristic
301C22×C11#47711yescharacteristic
302C22×C11#47811yescharacteristic
303C22×C11#47911yescharacteristic
304C22×C11#48111yescharacteristic
305C22×C11#48211yescharacteristic
306C22×C11#48211yescharacteristic
307C22×C11#48211yescharacteristic
308C22×C11#48311yescharacteristic
309C22×C11#48411yescharacteristic
310C22×C11#48411yescharacteristic
311C22×C11#48511yescharacteristic
312C22×C11#48711yescharacteristic
313C22×C11#48811yescharacteristic
314C22×C11#48911yescharacteristic
315C22×C11#49011yescharacteristic
316C4×C11—42no—
317C4×C11—42no—
318C4×C11—82no—
319C4×C11—82no—
320C4×C11—82no—
321C4×C11—82no—
322C4×C11#38311yescharacteristic
323C4×C11#38711yescharacteristic
324C4×C11#38711yescharacteristic
325C4×C11#38811yescharacteristic
326C4×C11#39711yescharacteristic
327C4×C11#40011yescharacteristic
328C4×C11#40011yescharacteristic
329C4×C11#40111yescharacteristic
330C23×C4—21no—
331C23×C4—21no—
332C23×C4—21no—
333C23×C4—21no—
334C23×C4D4×C1111yescharacteristic
335C23×C4D4×C1111yescharacteristic
336C23×C4C23×C1111yescharacteristic
337C22×C8—21no—
338C22×C8—21no—
339C22×C8—21no—
340C22×C8—21no—
341C22×C8—21no—
342C22×C8—21no—
343C22×C8—21no—
344C22×C8—21no—
345C22×C8—21no—
346C22×C8—21no—
347C22×C8—21no—
348C22×C8—21no—
349C22×C8C2×C4×C1112yes—
350C22×C8D4×C1112yes—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4C2×C4×C1112yes—
372C2×C4⋊C4C2×C4×C1112yes—
373C2×C4⋊C4D4×C1112yes—
374C2×C4⋊C4Q8×C1112yes—
375C2×C42—21no—
376C2×C42—21no—
377C2×C42—21no—
378C2×C42—21no—
379C2×C42—21no—
380C2×C42—21no—
381#95—42no—
382#95—42no—
383#95—42no—
384#95—42no—
385C2×C11#144311yescharacteristic
386C2×C11#192011yescharacteristic
387C2×C11#192111yescharacteristic
388C2×C11#192611yescharacteristic
389C2×C11#192811yescharacteristic
390C2×C11#193311yescharacteristic
391C2×C11#193611yescharacteristic
392C2×C11#206511yescharacteristic
393C2×C11#206811yescharacteristic
394C2×C11#207211yescharacteristic
395C2×C11#207311yescharacteristic
396C2×C11#207611yescharacteristic
397C2×C11#207711yescharacteristic
398C2×C11#210011yescharacteristic
399C2×C11#210111yescharacteristic
400C24C2×D4×C1111yescharacteristic
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4C11×SD1612yes—
442C22×C4C11×Q1612yes—
443C22×C4C22×C4×C1111yescharacteristic
444C22×C4C2×D4×C1111yescharacteristic
445C22×C4C2×D4×C1111yescharacteristic
446C22×C4C2×Q8×C1111yescharacteristic
447C22×C4C11×#4111yescharacteristic
448C22×C4C11×#4111yescharacteristic
449C22×C4C11×#4111yescharacteristic
450C22×C4C11×#4111yescharacteristic
451C22×C4C11×#4111yescharacteristic
452C22×C4C11×#4111yescharacteristic
453C22×C4C11×#4111yescharacteristic
454C22×C4C11×#4111yescharacteristic
455C22×C4C11×#4111yescharacteristic
456C22×C4C11×#4111yescharacteristic
457C2×C8—22no—
458C2×C8—22no—
459C2×C8—22no—
460C2×C8—22no—
461C2×C8—22no—
462C2×C8—22no—
463C2×C8—41no—
464C2×C8—41no—
465C2×C8—41no—
466C2×C8—41no—
467C2×C8—41no—
468C2×C8—41no—
469C2×C8—41no—
470C2×C8—41no—
471C4⋊C4—22no—
472C4⋊C4—22no—
473C4⋊C4—22no—
474C4⋊C4—22no—
475C4⋊C4—22no—
476C4⋊C4—22no—
477C4⋊C4—22no—
478C4⋊C4—22no—
479C4⋊C4—41no—
480C4⋊C4—41no—
481C4⋊C4—41no—
482C4⋊C4—41no—
483C4⋊C4—41no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—41no—
487C42—41no—
488C42—41no—
489C42—41no—
490C42—41no—
491C11#1131611yescharacteristic, direct product factor, Sylow
492C23C4×D4×C1111yescharacteristic
493C23C11×#12111yescharacteristic
494C23C11×#12111yescharacteristic
495C23C11×C22⋊Q811yescharacteristic
496C23C11×#12311yescharacteristic
497C23C11×#12311yescharacteristic
498C23C11×#12411yescharacteristic
499C23C2×C11×SD1611yescharacteristic
500C23C2×C11×Q1611yescharacteristic
501C23C11×#13511yescharacteristic
502C23C11×#13511yescharacteristic
503C23C11×AGL(1,ℤ/8)11yescharacteristic
504C23C11×AGL(1,ℤ/8)11yescharacteristic
505C23C11×AGL(1,ℤ/8)11yescharacteristic
506C23C11×#13711yescharacteristic
507C2×C4—22no—
508C2×C4—22no—
509C2×C4—22no—
510C2×C4—22no—
511C2×C4—22no—
512C2×C4—22no—
513C2×C4—41no—
514C2×C4—41no—
515C2×C4—41no—
516C2×C4—41no—
517C2×C4—41no—
518C2×C4—41no—
519C2×C4—41no—
520C2×C4—41no—
521C2×C4—42no—
522C2×C4—42no—
523C2×C4—42no—
524C2×C4—42no—
525C2×C4—42no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—81no—
542C2×C4—81no—
543C2×C4—81no—
544C2×C4—81no—
545C2×C4—81no—
546C2×C4—81no—
547C2×C4—81no—
548C2×C4—81no—
549C2×C4C11×#11711yescharacteristic
550C2×C4C11×#11711yescharacteristic
551C2×C4C11×#11711yescharacteristic
552C2×C4C4×D4×C1111yescharacteristic
553C2×C4C4×D4×C1111yescharacteristic
554C2×C4C4×Q8×C1111yescharacteristic
555C2×C4C11×#12111yescharacteristic
556C2×C4C11×C22⋊Q811yescharacteristic
557C2×C4C11×C22⋊Q811yescharacteristic
558C2×C4C11×#12311yescharacteristic
559C2×C4C11×#12311yescharacteristic
560C2×C4C11×#12311yescharacteristic
561C2×C4C11×#12311yescharacteristic
562C2×C4C11×#12411yescharacteristic
563C2×C4C11×#12411yescharacteristic
564C2×C4C11×#12511yescharacteristic
565C2×C4C11×#12511yescharacteristic
566C2×C4C11×#12511yescharacteristic
567C2×C4C11×#12611yescharacteristic
568C2×C4C11×#12611yescharacteristic
569C2×C4C11×#12611yescharacteristic
570C2×C4C11×#12611yescharacteristic
571C2×C4C11×#12611yescharacteristic
572C2×C4C11×#12611yescharacteristic
573C2×C4C11×#12611yescharacteristic
574C2×C4C11×#12611yescharacteristic
575C2×C4C11×#12611yescharacteristic
576C2×C4C11×#12611yescharacteristic
577C8—42no—
578C8—42no—
579C22C11×#38711yescharacteristic
580C22C11×#38811yescharacteristic
581C22C11×#38811yescharacteristic
582C22C11×#39611yescharacteristic
583C22C11×#39711yescharacteristic
584C22C11×#39711yescharacteristic
585C22C11×#40011yescharacteristic
586C22C4×C11×SD1611yescharacteristic
587C22C4×C11×Q1611yescharacteristic
588C22C11×#44011yescharacteristic
589C22C11×#44211yescharacteristic
590C22C11×#46011yescharacteristic
591C22C11×#46211yescharacteristic
592C22C11×#46311yescharacteristic
593C22C11×#46311yescharacteristic
594C22C11×#46511yescharacteristic
595C22C11×#46711yescharacteristic
596C22C11×#46811yescharacteristic
597C22C11×#46911yescharacteristic
598C22C11×#47611yescharacteristic
599C22C11×#47711yescharacteristic
600C22C11×#47811yescharacteristic
601C22C11×#47911yescharacteristic
602C22C11×#48111yescharacteristic
603C22C11×#48211yescharacteristic
604C22C11×#48211yescharacteristic
605C22C11×#48211yescharacteristic
606C22C11×#48311yescharacteristic
607C22C11×#48411yescharacteristic
608C22C11×#48411yescharacteristic
609C22C11×#48511yescharacteristic
610C22C11×#48711yescharacteristic
611C22C11×#48811yescharacteristic
612C22C11×#48911yescharacteristic
613C22C11×#49011yescharacteristic
614C4—42no—
615C4—42no—
616C4—82no—
617C4—82no—
618C4—82no—
619C4—82no—
620C4C11×#38311yescharacteristic
621C4C11×#38711yescharacteristic
622C4C11×#38711yescharacteristic
623C4C11×#38811yescharacteristic
624C4C11×#39711yescharacteristic
625C4C11×#40011yescharacteristic
626C4C11×#40011yescharacteristic
627C4C11×#40111yescharacteristic
628C2C11×#144311yescharacteristic
629C2C11×#192011yescharacteristic
630C2C11×#192111yescharacteristic
631C2C11×#192611yescharacteristic
632C2C11×#192811yescharacteristic
633C2C11×#193311yescharacteristic
634C2C11×#193611yescharacteristic
635C2C11×#206511yescharacteristic
636C2C11×#206811yescharacteristic
637C2C11×#207211yescharacteristic
638C2C11×#207311yescharacteristic
639C2C11×#207611yescharacteristic
640C2C11×#207711yescharacteristic
641C2C11×#210011yescharacteristic
642C2C11×#210111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C11C2×D4
commutatorC22×C4C22×C4×C11
Frattini, cosocleC23×C4C23×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
22. C11×#340C4semidirect
79. #11316C11direct (N × H)
279. #340C4×C11semidirect
491. C11#11316direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3402
C2×C11×#3362
C11×C4⋊#952
#1131611