Finite Group Databasebeta

← C11×#11220 #14588413

Subgroups — C11×#11220 #14588413

Order 2816.

886 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#106C211yesmaximal, characteristic
2C2×C11×#389C211yesmaximal, characteristic
3C2×C11×#340C211yesmaximal, characteristic
4C2×C11×#340C211yesmaximal, characteristic
5C2×C11×#340C211yesmaximal, characteristic
6C2×C11×#336C211yesmaximal, characteristic
7C11×C4⋊#95C211yesmaximal, characteristic
8C23×C8×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4—21no—
11C22×C11×C4⋊C4C2211yescharacteristic
12C22×C11×C4⋊C4C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C42×C11C2211yescharacteristic
16C2×C11×#106—22no—
17C2×C11×#106—22no—
18C2×C11×#106C414yescomplemented
19C11×#389—22no—
20C11×#389—22no—
21C2×C11×#95—21no—
22C2×C11×#95—21no—
23C2×C11×#95—21no—
24C11×#340—22no—
25C11×#340—22no—
26C11×#340—22no—
27C11×#336—22no—
28C23×C4×C11—21no—
29C23×C4×C11—21no—
30C23×C4×C11—21no—
31C23×C4×C11—21no—
32C23×C4×C11D411yescharacteristic
33C23×C4×C11D411yescharacteristic
34C23×C4×C11C2311yescharacteristic
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×C11—21no—
44C22×C8×C11—21no—
45C22×C8×C11C2×C412yes—
46C22×C8×C11D412yes—
47C22×C8×C11Q812yes—
48C22×C8×C11Q812yes—
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—24no—
65C2×C11×C4⋊C4—21no—
66C2×C11×C4⋊C4—21no—
67C2×C11×C4⋊C4—21no—
68C2×C11×C4⋊C4—42no—
69C2×C11×C4⋊C4—42no—
70C2×C11×C4⋊C4C2×C412yes—
71C2×C11×C4⋊C4C2×C412yes—
72C2×C11×C4⋊C4D412yes—
73C2×C11×C4⋊C4D412yes—
74C2×C11×C4⋊C4D412yes—
75C2×C11×C4⋊C4Q812yes—
76C2×C42×C11—21no—
77C2×C42×C11—21no—
78C2×C42×C11—21no—
79C2×C42×C11—21no—
80C2×C42×C11—21no—
81C2×C42×C11—21no—
82C11×#106—28no—
83C11×#95—24no—
84C11×#95—42no—
85C11×#95—42no—
86#11220C1111yesmaximal, characteristic, direct product factor, Sylow
87C24×C11C2×D411yescharacteristic
88C22×C4×C11—22no—
89C22×C4×C11—21no—
90C22×C4×C11—22no—
91C22×C4×C11—21no—
92C22×C4×C11—21no—
93C22×C4×C11—21no—
94C22×C4×C11—22no—
95C22×C4×C11—21no—
96C22×C4×C11—21no—
97C22×C4×C11—21no—
98C22×C4×C11—21no—
99C22×C4×C11—21no—
100C22×C4×C11—21no—
101C22×C4×C11—21no—
102C22×C4×C11—21no—
103C22×C4×C11—22no—
104C22×C4×C11—22no—
105C22×C4×C11—22no—
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×C11—41no—
122C22×C4×C11—41no—
123C22×C4×C11—41no—
124C22×C4×C11—41no—
125C22×C4×C11—41no—
126C22×C4×C11—41no—
127C22×C4×C11—41no—
128C22×C4×C11SD1612yes—
129C22×C4×C11SD1612yes—
130C22×C4×C11C22×C411yescharacteristic
131C22×C4×C11C2×D411yescharacteristic
132C22×C4×C11C2×D411yescharacteristic
133C22×C4×C11C2×D411yescharacteristic
134C22×C4×C11C2×D411yescharacteristic
135C22×C4×C11C2×Q811yescharacteristic
136C22×C4×C11C2×Q811yescharacteristic
137C22×C4×C11C2×Q811yescharacteristic
138C22×C4×C11#4111yescharacteristic
139C22×C4×C11#4111yescharacteristic
140C22×C4×C11#4111yescharacteristic
141C22×C4×C11#4111yescharacteristic
142C22×C4×C11#4111yescharacteristic
143C22×C4×C11#4111yescharacteristic
144C2×C8×C11—22no—
145C2×C8×C11—22no—
146C2×C8×C11—22no—
147C2×C8×C11—22no—
148C2×C8×C11—22no—
149C2×C8×C11—22no—
150C2×C8×C11—22no—
151C2×C8×C11—22no—
152C2×C8×C11—22no—
153C2×C8×C11—41no—
154C2×C8×C11—41no—
155C2×C8×C11—41no—
156C2×C8×C11—41no—
157C2×C8×C11C4⋊C414yescomplemented
158C11×C4⋊C4—22no—
159C11×C4⋊C4—22no—
160C11×C4⋊C4—22no—
161C11×C4⋊C4—22no—
162C11×C4⋊C4—22no—
163C11×C4⋊C4—22no—
164C11×C4⋊C4—22no—
165C11×C4⋊C4—22no—
166C11×C4⋊C4—22no—
167C11×C4⋊C4—48no—
168C11×C4⋊C4—41no—
169C11×C4⋊C4—41no—
170C11×C4⋊C4—41no—
171C11×C4⋊C4—41no—
172C11×C4⋊C4—41no—
173C11×C4⋊C4—41no—
174C11×C4⋊C4C22⋊C414yes—
175C42×C11—41no—
176C42×C11—41no—
177C42×C11—41no—
178C42×C11—41no—
179C22×#106C2×C1111yescharacteristic
180C2×#389C2×C1111yescharacteristic
181C2×#340C2×C1111yescharacteristic
182C2×#340C2×C1111yescharacteristic
183C2×#340C2×C1111yescharacteristic
184C2×#336C2×C1111yescharacteristic
185C4⋊#95C2×C1111yescharacteristic
186C23×C11C4×D411yescharacteristic
187C23×C11#12011yescharacteristic
188C23×C11#12111yescharacteristic
189C23×C11#12111yescharacteristic
190C23×C11C22⋊Q811yescharacteristic
191C23×C11#12311yescharacteristic
192C23×C11C4⋊Q811yescharacteristic
193C23×C11C2×SD1611yescharacteristic
194C23×C11C2×SD1611yescharacteristic
195C23×C11#13511yescharacteristic
196C23×C11#13511yescharacteristic
197C23×C11AGL(1,ℤ/8)11yescharacteristic
198C23×C11AGL(1,ℤ/8)11yescharacteristic
199C23×C11#13711yescharacteristic
200C23×C11#13711yescharacteristic
201C2×C4×C11—24no—
202C2×C4×C11—22no—
203C2×C4×C11—22no—
204C2×C4×C11—22no—
205C2×C4×C11—22no—
206C2×C4×C11—22no—
207C2×C4×C11—22no—
208C2×C4×C11—41no—
209C2×C4×C11—41no—
210C2×C4×C11—42no—
211C2×C4×C11—42no—
212C2×C4×C11—41no—
213C2×C4×C11—42no—
214C2×C4×C11—41no—
215C2×C4×C11—42no—
216C2×C4×C11—42no—
217C2×C4×C11—42no—
218C2×C4×C11—41no—
219C2×C4×C11—41no—
220C2×C4×C11—41no—
221C2×C4×C11—41no—
222C2×C4×C11—42no—
223C2×C4×C11—42no—
224C2×C4×C11—42no—
225C2×C4×C11—42no—
226C2×C4×C11—42no—
227C2×C4×C11—42no—
228C2×C4×C11—42no—
229C2×C4×C11—42no—
230C2×C4×C11—42no—
231C2×C4×C11—81no—
232C2×C4×C11—81no—
233C2×C4×C11—81no—
234C2×C4×C11—81no—
235C2×C4×C11—81no—
236C2×C4×C11—81no—
237C2×C4×C11—81no—
238C2×C4×C11—81no—
239C2×C4×C11—81no—
240C2×C4×C11—81no—
241C2×C4×C11—81no—
242C2×C4×C11—81no—
243C2×C4×C11C2×C22⋊C411yescharacteristic
244C2×C4×C11C2×C4⋊C411yescharacteristic
245C2×C4×C11#11711yescharacteristic
246C2×C4×C11C4×D411yescharacteristic
247C2×C4×C11C4×Q811yescharacteristic
248C2×C4×C11C4×Q811yescharacteristic
249C2×C4×C11#12111yescharacteristic
250C2×C4×C11#12111yescharacteristic
251C2×C4×C11#12111yescharacteristic
252C2×C4×C11#12111yescharacteristic
253C2×C4×C11C22⋊Q811yescharacteristic
254C2×C4×C11C22⋊Q811yescharacteristic
255C2×C4×C11C22⋊Q811yescharacteristic
256C2×C4×C11C22⋊Q811yescharacteristic
257C2×C4×C11C22⋊Q811yescharacteristic
258C2×C4×C11C22⋊Q811yescharacteristic
259C2×C4×C11C22⋊Q811yescharacteristic
260C2×C4×C11#12311yescharacteristic
261C2×C4×C11#12311yescharacteristic
262C2×C4×C11#12411yescharacteristic
263C2×C4×C11#12511yescharacteristic
264C2×C4×C11#12511yescharacteristic
265C2×C4×C11#12511yescharacteristic
266C2×C4×C11#12511yescharacteristic
267C2×C4×C11#12611yescharacteristic
268C2×C4×C11#12611yescharacteristic
269C2×C4×C11C4⋊Q811yescharacteristic
270C2×C4×C11C4⋊Q811yescharacteristic
271C8×C11—24no—
272C8×C11—42no—
273C23×C8C22×C1111yescharacteristic
274C23×C8C22×C1111yescharacteristic
275C22×C4⋊C4—21no—
276C22×C4⋊C4C22×C1111yescharacteristic
277C22×C4⋊C4C22×C1111yescharacteristic
278C22×C4⋊C4C22×C1111yescharacteristic
279C22×C4⋊C4C22×C1111yescharacteristic
280C22×C42C22×C1111yescharacteristic
281C2×#106—22no—
282C2×#106—22no—
283C2×#106C4×C1114yescomplemented
284#389—22no—
285#389—22no—
286C2×#95—21no—
287C2×#95—21no—
288C2×#95—21no—
289#340—22no—
290#340—22no—
291#340—22no—
292#336—22no—
293C22×C11#38611yescharacteristic
294C22×C11#38711yescharacteristic
295C22×C11#38911yescharacteristic
296C22×C11#39411yescharacteristic
297C22×C11#39511yescharacteristic
298C22×C11#39611yescharacteristic
299C22×C11#39811yescharacteristic
300C22×C11C4×SD1611yescharacteristic
301C22×C11C4×SD1611yescharacteristic
302C22×C11#44011yescharacteristic
303C22×C11#44011yescharacteristic
304C22×C11#44811yescharacteristic
305C22×C11#44911yescharacteristic
306C22×C11#45011yescharacteristic
307C22×C11#45211yescharacteristic
308C22×C11#46011yescharacteristic
309C22×C11#46111yescharacteristic
310C22×C11#46311yescharacteristic
311C22×C11#46411yescharacteristic
312C22×C11#46511yescharacteristic
313C22×C11#46511yescharacteristic
314C22×C11#46911yescharacteristic
315C22×C11#47011yescharacteristic
316C22×C11#47511yescharacteristic
317C22×C11#47611yescharacteristic
318C22×C11#47811yescharacteristic
319C22×C11#47911yescharacteristic
320C22×C11#48111yescharacteristic
321C22×C11#48211yescharacteristic
322C22×C11#48311yescharacteristic
323C22×C11#48511yescharacteristic
324C22×C11#49811yescharacteristic
325C22×C11#49911yescharacteristic
326C22×C11#50111yescharacteristic
327C22×C11#50111yescharacteristic
328C4×C11—44no—
329C4×C11—42no—
330C4×C11—42no—
331C4×C11—82no—
332C4×C11—82no—
333C4×C11—82no—
334C4×C11#38011yescharacteristic
335C4×C11#38711yescharacteristic
336C4×C11#38911yescharacteristic
337C4×C11#39111yescharacteristic
338C4×C11#39611yescharacteristic
339C4×C11#39811yescharacteristic
340C4×C11#39811yescharacteristic
341C4×C11#40011yescharacteristic
342C23×C4—21no—
343C23×C4—21no—
344C23×C4—21no—
345C23×C4—21no—
346C23×C4D4×C1111yescharacteristic
347C23×C4D4×C1111yescharacteristic
348C23×C4C23×C1111yescharacteristic
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—21no—
355C22×C8—21no—
356C22×C8—21no—
357C22×C8—21no—
358C22×C8—21no—
359C22×C8C2×C4×C1112yes—
360C22×C8D4×C1112yes—
361C22×C8Q8×C1112yes—
362C22×C8Q8×C1112yes—
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⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—24no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—42no—
383C2×C4⋊C4—42no—
384C2×C4⋊C4C2×C4×C1112yes—
385C2×C4⋊C4C2×C4×C1112yes—
386C2×C4⋊C4D4×C1112yes—
387C2×C4⋊C4D4×C1112yes—
388C2×C4⋊C4D4×C1112yes—
389C2×C4⋊C4Q8×C1112yes—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—21no—
396#106—28no—
397#95—24no—
398#95—42no—
399#95—42no—
400C2×C11#144111yescharacteristic
401C2×C11#187711yescharacteristic
402C2×C11#188011yescharacteristic
403C2×C11#191911yescharacteristic
404C2×C11#192011yescharacteristic
405C2×C11#194111yescharacteristic
406C2×C11#194411yescharacteristic
407C2×C11#203411yescharacteristic
408C2×C11#203511yescharacteristic
409C2×C11#205811yescharacteristic
410C2×C11#205911yescharacteristic
411C2×C11#206511yescharacteristic
412C2×C11#206611yescharacteristic
413C2×C11#208411yescharacteristic
414C2×C11#208511yescharacteristic
415C24C2×D4×C1111yescharacteristic
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—22no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4C11×SD1612yes—
457C22×C4C11×SD1612yes—
458C22×C4C22×C4×C1111yescharacteristic
459C22×C4C2×D4×C1111yescharacteristic
460C22×C4C2×D4×C1111yescharacteristic
461C22×C4C2×D4×C1111yescharacteristic
462C22×C4C2×D4×C1111yescharacteristic
463C22×C4C2×Q8×C1111yescharacteristic
464C22×C4C2×Q8×C1111yescharacteristic
465C22×C4C2×Q8×C1111yescharacteristic
466C22×C4C11×#4111yescharacteristic
467C22×C4C11×#4111yescharacteristic
468C22×C4C11×#4111yescharacteristic
469C22×C4C11×#4111yescharacteristic
470C22×C4C11×#4111yescharacteristic
471C22×C4C11×#4111yescharacteristic
472C2×C8—22no—
473C2×C8—22no—
474C2×C8—22no—
475C2×C8—22no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—41no—
482C2×C8—41no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8C11×C4⋊C414yescomplemented
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—22no—
495C4⋊C4—48no—
496C4⋊C4—41no—
497C4⋊C4—41no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4C11×C22⋊C414yes—
503C42—41no—
504C42—41no—
505C42—41no—
506C42—41no—
507C11#1122011yescharacteristic, direct product factor, Sylow
508C23C4×D4×C1111yescharacteristic
509C23C11×#12011yescharacteristic
510C23C11×#12111yescharacteristic
511C23C11×#12111yescharacteristic
512C23C11×C22⋊Q811yescharacteristic
513C23C11×#12311yescharacteristic
514C23C11×C4⋊Q811yescharacteristic
515C23C2×C11×SD1611yescharacteristic
516C23C2×C11×SD1611yescharacteristic
517C23C11×#13511yescharacteristic
518C23C11×#13511yescharacteristic
519C23C11×AGL(1,ℤ/8)11yescharacteristic
520C23C11×AGL(1,ℤ/8)11yescharacteristic
521C23C11×#13711yescharacteristic
522C23C11×#13711yescharacteristic
523C2×C4—24no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—41no—
531C2×C4—41no—
532C2×C4—42no—
533C2×C4—42no—
534C2×C4—41no—
535C2×C4—42no—
536C2×C4—41no—
537C2×C4—42no—
538C2×C4—42no—
539C2×C4—42no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—42no—
545C2×C4—42no—
546C2×C4—42no—
547C2×C4—42no—
548C2×C4—42no—
549C2×C4—42no—
550C2×C4—42no—
551C2×C4—42no—
552C2×C4—42no—
553C2×C4—81no—
554C2×C4—81no—
555C2×C4—81no—
556C2×C4—81no—
557C2×C4—81no—
558C2×C4—81no—
559C2×C4—81no—
560C2×C4—81no—
561C2×C4—81no—
562C2×C4—81no—
563C2×C4—81no—
564C2×C4—81no—
565C2×C4C2×C11×C22⋊C411yescharacteristic
566C2×C4C2×C11×C4⋊C411yescharacteristic
567C2×C4C11×#11711yescharacteristic
568C2×C4C4×D4×C1111yescharacteristic
569C2×C4C4×Q8×C1111yescharacteristic
570C2×C4C4×Q8×C1111yescharacteristic
571C2×C4C11×#12111yescharacteristic
572C2×C4C11×#12111yescharacteristic
573C2×C4C11×#12111yescharacteristic
574C2×C4C11×#12111yescharacteristic
575C2×C4C11×C22⋊Q811yescharacteristic
576C2×C4C11×C22⋊Q811yescharacteristic
577C2×C4C11×C22⋊Q811yescharacteristic
578C2×C4C11×C22⋊Q811yescharacteristic
579C2×C4C11×C22⋊Q811yescharacteristic
580C2×C4C11×C22⋊Q811yescharacteristic
581C2×C4C11×C22⋊Q811yescharacteristic
582C2×C4C11×#12311yescharacteristic
583C2×C4C11×#12311yescharacteristic
584C2×C4C11×#12411yescharacteristic
585C2×C4C11×#12511yescharacteristic
586C2×C4C11×#12511yescharacteristic
587C2×C4C11×#12511yescharacteristic
588C2×C4C11×#12511yescharacteristic
589C2×C4C11×#12611yescharacteristic
590C2×C4C11×#12611yescharacteristic
591C2×C4C11×C4⋊Q811yescharacteristic
592C2×C4C11×C4⋊Q811yescharacteristic
593C8—24no—
594C8—42no—
595C22C11×#38611yescharacteristic
596C22C11×#38711yescharacteristic
597C22C11×#38911yescharacteristic
598C22C11×#39411yescharacteristic
599C22C11×#39511yescharacteristic
600C22C11×#39611yescharacteristic
601C22C11×#39811yescharacteristic
602C22C4×C11×SD1611yescharacteristic
603C22C4×C11×SD1611yescharacteristic
604C22C11×#44011yescharacteristic
605C22C11×#44011yescharacteristic
606C22C11×#44811yescharacteristic
607C22C11×#44911yescharacteristic
608C22C11×#45011yescharacteristic
609C22C11×#45211yescharacteristic
610C22C11×#46011yescharacteristic
611C22C11×#46111yescharacteristic
612C22C11×#46311yescharacteristic
613C22C11×#46411yescharacteristic
614C22C11×#46511yescharacteristic
615C22C11×#46511yescharacteristic
616C22C11×#46911yescharacteristic
617C22C11×#47011yescharacteristic
618C22C11×#47511yescharacteristic
619C22C11×#47611yescharacteristic
620C22C11×#47811yescharacteristic
621C22C11×#47911yescharacteristic
622C22C11×#48111yescharacteristic
623C22C11×#48211yescharacteristic
624C22C11×#48311yescharacteristic
625C22C11×#48511yescharacteristic
626C22C11×#49811yescharacteristic
627C22C11×#49911yescharacteristic
628C22C11×#50111yescharacteristic
629C22C11×#50111yescharacteristic
630C4—44no—
631C4—42no—
632C4—42no—
633C4—82no—
634C4—82no—
635C4—82no—
636C4C11×#38011yescharacteristic
637C4C11×#38711yescharacteristic
638C4C11×#38911yescharacteristic
639C4C11×#39111yescharacteristic
640C4C11×#39611yescharacteristic
641C4C11×#39811yescharacteristic
642C4C11×#39811yescharacteristic
643C4C11×#40011yescharacteristic
644C2C11×#144111yescharacteristic
645C2C11×#187711yescharacteristic
646C2C11×#188011yescharacteristic
647C2C11×#191911yescharacteristic
648C2C11×#192011yescharacteristic
649C2C11×#194111yescharacteristic
650C2C11×#194411yescharacteristic
651C2C11×#203411yescharacteristic
652C2C11×#203511yescharacteristic
653C2C11×#205811yescharacteristic
654C2C11×#205911yescharacteristic
655C2C11×#206511yescharacteristic
656C2C11×#206611yescharacteristic
657C2C11×#208411yescharacteristic
658C2C11×#208511yescharacteristic
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
18. C2×C11×#106C4semidirect
86. #11220C11direct (N × H)
157. C2×C8×C11C4⋊C4semidirect
283. C2×#106C4×C11semidirect
485. C2×C8C11×C4⋊C4semidirect
507. C11#11220direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1062
C2×C11×#3892
C2×C11×#3402
C2×C11×#3362
C11×C4⋊#952
#1122011