Finite Group Databasebeta

← C11×#22062 #14599255

Subgroups — C11×#22062 #14599255

Order 2816.

900 conjugacy classes of subgroups.

The subgroup lattice has 848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3002C211yesmaximal, characteristic
2C11×#2930C211yesmaximal, characteristic, complemented
3C11×#2879C211yesmaximal, characteristic, complemented
4C11×#1975C211yesmaximal, characteristic, complemented
5C11×#1974C211yesmaximal, characteristic, complemented
6C11×#1938C211yesmaximal, characteristic, complemented
7C11×#1937C211yesmaximal, characteristic, complemented
8C11×#1929C211yesmaximal, characteristic, complemented
9C11×#1929C211yesmaximal, characteristic, complemented
10C11×#1876C211yesmaximal, characteristic, complemented
11C11×#1876C211yesmaximal, characteristic, complemented
12C11×#1871C211yesmaximal, characteristic, complemented
13C11×#1855C211yesmaximal, characteristic, complemented
14C11×#1789C211yesmaximal, characteristic, complemented
15C11×#1753C211yesmaximal, characteristic, complemented
16C22×C11×#41C2211yescharacteristic
17C2×C11×#135C2211yescharacteristic
18C2×C11×#135C2211yescharacteristic
19C2×C11×#131C2211yescharacteristic, complemented
20C22×C11×M16C2211yescharacteristic
21C22×C11×M16C2211yescharacteristic
22C11×#525C2211yescharacteristic
23C11×#452C411yescharacteristic, complemented
24C11×#452C411yescharacteristic, complemented
25C11×#451C411yescharacteristic, complemented
26C11×#450C411yescharacteristic, complemented
27C11×#449C411yescharacteristic, complemented
28C11×#449C411yescharacteristic, complemented
29C11×#448C411yescharacteristic, complemented
30C11×#447C411yescharacteristic, complemented
31C11×#436—21no—
32C11×#436—21no—
33C11×#435—21no—
34C11×#435—21no—
35C2×C11×#108C2211yescharacteristic, complemented
36C2×C11×#108C2211yescharacteristic, complemented
37C11×#424C2211yescharacteristic, complemented
38C2×C11×#104C2211yescharacteristic
39C2×C11×#104C2211yescharacteristic
40C2×C11×#104C2211yescharacteristic
41C2×C11×#104C2211yescharacteristic
42C2×C11×#104C2211yescharacteristic, complemented
43C2×C11×#104C2211yescharacteristic, complemented
44C11×#416C2211yescharacteristic
45C11×#416C2211yescharacteristic
46C11×#408—21no—
47C11×#408—21no—
48C11×#408C2211yescharacteristic
49C11×#408C2211yescharacteristic
50C11×#408C2211yescharacteristic
51C11×#408C2211yescharacteristic
52C11×#408C2211yescharacteristic, complemented
53C11×#407—21no—
54C11×#407—21no—
55C11×#407C2211yescharacteristic
56C2×C11×C22⋊C8C2211yescharacteristic
57C11×#405C2211yescharacteristic, complemented
58C2×C11×#97C2211yescharacteristic, complemented
59C2×C4×C8×C11C2211yescharacteristic, complemented
60C4×C11×C22⋊C4C2211yescharacteristic
61C11×#341C2211yescharacteristic, complemented
62C11×#341C2211yescharacteristic, complemented
63C11×#339C2211yescharacteristic, complemented
64C11×#339C2211yescharacteristic, complemented
65C11×#336C2211yescharacteristic, complemented
66C11×#336C2211yescharacteristic, complemented
67C2×C11×#41—21no—
68C2×C11×#41—21no—
69C2×C11×#41—41no—
70C2×C11×#41—41no—
71C2×C11×#41—41no—
72C2×C11×#41—41no—
73C2×C11×#41C2×C411yescharacteristic
74C2×C11×#41C2×C411yescharacteristic
75C2×C11×#41C2311yescharacteristic
76C2×C11×#41C2311yescharacteristic
77C2×C11×#41C2311yescharacteristic
78C22×Q8×C11C2×C411yescharacteristic
79C22×D4×C11—21no—
80C22×D4×C11C2×C411yescharacteristic
81C23×C4×C11—21no—
82C23×C4×C11C2311yescharacteristic
83C11×#135—41no—
84C11×#135—41no—
85C11×#135—41no—
86C11×#135—41no—
87C2×C11×Q16C2×C411yescharacteristic
88C2×C11×Q16C2×C411yescharacteristic
89C2×C11×SD16C2×C411yescharacteristic
90C2×C11×SD16C2×C411yescharacteristic
91C2×C11×SD16C2×C411yescharacteristic
92C2×C11×SD16C2×C411yescharacteristic
93C2×C11×D8C2×C411yescharacteristic
94C2×C11×D8C2×C411yescharacteristic
95C11×#131—41no—
96C11×#131—41no—
97C2×C11×M16—21no—
98C2×C11×M16—21no—
99C2×C11×M16—41no—
100C2×C11×M16—41no—
101C2×C11×M16—41no—
102C2×C11×M16—41no—
103C2×C11×M16D411yescharacteristic
104C2×C11×M16D411yescharacteristic
105C2×C11×M16D411yescharacteristic
106C2×C11×M16D411yescharacteristic
107C2×C11×M16C2311yescharacteristic
108C2×C11×M16C2311yescharacteristic
109C2×C11×M16C2311yescharacteristic
110C2×C11×M16C2311yescharacteristic
111C22×C8×C11—21no—
112C22×C8×C11—21no—
113C22×C8×C11C2311yescharacteristic
114C22×C8×C11C2311yescharacteristic
115C22×C8×C11C2311yescharacteristic
116C22×C8×C11C2311yescharacteristic
117C11×#123—21no—
118C11×C22⋊Q8C2×C411yescharacteristic
119C11×C22⋊Q8C2×C411yescharacteristic
120C11×#121C2×C411yescharacteristic
121C11×#121C2×C411yescharacteristic
122C11×#120—21no—
123C4×D4×C11—21no—
124C4×D4×C11—21no—
125C11×#117C2311yescharacteristic
126C2×C11×C22⋊C4—21no—
127C2×C42×C11C2311yescharacteristic
128C2×C42×C11C2311yescharacteristic
129C11×#108—41no—
130C11×#108—41no—
131C11×C4⋊C8—21no—
132C11×C4⋊C8—21no—
133C11×#104—41no—
134C11×#104—41no—
135C11×#104—41no—
136C11×#104—41no—
137C11×#104—41no—
138C11×#104—41no—
139C11×#103C2×C411yescharacteristic
140C11×#103C2×C411yescharacteristic
141C11×#103C2×C411yescharacteristic
142C11×#103C2×C411yescharacteristic
143C11×#102C2×C411yescharacteristic
144C11×#102C2×C411yescharacteristic
145C11×#102C2×C411yescharacteristic
146C11×#102C2×C411yescharacteristic
147C11×C22⋊C8—21no—
148C11×C22⋊C8—21no—
149C11×C22⋊C8—21no—
150C11×C22⋊C8—21no—
151C11×C22⋊C8—21no—
152C11×C22⋊C8—21no—
153C11×C22⋊C8—21no—
154C11×C22⋊C8—21no—
155C11×C22⋊C8—21no—
156C11×C22⋊C8—21no—
157C11×C22⋊C8—21no—
158C11×C22⋊C8—21no—
159C11×C22⋊C8C2×C411yescharacteristic
160C11×C22⋊C8C2×C411yescharacteristic
161C11×C22⋊C8C2×C411yescharacteristic
162C11×C22⋊C8C2×C411yescharacteristic
163C11×#97—21no—
164C11×#97—41no—
165C4×C8×C11—21no—
166C4×C8×C11—41no—
167C11×#95—21no—
168#22062C1111yesmaximal, characteristic, direct product factor, Sylow
169C24×C11—21no—
170C24×C11#4111yescharacteristic
171C11×#41—21no—
172C11×#41—21no—
173C11×#41—21no—
174C11×#41—21no—
175C11×#41—21no—
176C11×#41—21no—
177C11×#41—21no—
178C11×#41—21no—
179C11×#41—21no—
180C11×#41—21no—
181C11×#41—21no—
182C11×#41—21no—
183C11×#41—41no—
184C11×#41—41no—
185C11×#41—41no—
186C11×#41—41no—
187C11×#41—42no—
188C11×#41—42no—
189C11×#41—42no—
190C11×#41—42no—
191C2×Q8×C11—21no—
192C2×Q8×C11—41no—
193C2×Q8×C11—41no—
194C2×Q8×C11C22×C411yescharacteristic
195C2×Q8×C11C22×C411yescharacteristic
196C2×Q8×C11C22×C411yescharacteristic
197C2×D4×C11—21no—
198C2×D4×C11—21no—
199C2×D4×C11—21no—
200C2×D4×C11—21no—
201C2×D4×C11—21no—
202C2×D4×C11—21no—
203C2×D4×C11—21no—
204C2×D4×C11—21no—
205C2×D4×C11—41no—
206C2×D4×C11—41no—
207C2×D4×C11—42no—
208C2×D4×C11—42no—
209C2×D4×C11C22×C411yescharacteristic
210C2×D4×C11C22×C411yescharacteristic
211C2×D4×C11C22×C411yescharacteristic
212C22×C4×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—21no—
217C22×C4×C11—21no—
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—42no—
225C22×C4×C11—42no—
226C22×C4×C11C22×C411yescharacteristic
227C22×C4×C11C22×C411yescharacteristic
228C22×C4×C11C2×D411yescharacteristic
229C22×C4×C11C2×D411yescharacteristic
230C22×C4×C11#4111yescharacteristic
231C22×C4×C11C2411yescharacteristic
232C11×Q16—41no—
233C11×Q16—41no—
234C11×SD16—41no—
235C11×SD16—41no—
236C11×SD16—41no—
237C11×SD16—41no—
238C11×D8—41no—
239C11×D8—41no—
240C11×M16—21no—
241C11×M16—21no—
242C11×M16—21no—
243C11×M16—21no—
244C11×M16—21no—
245C11×M16—21no—
246C11×M16—21no—
247C11×M16—21no—
248C11×M16—41no—
249C11×M16—41no—
250C11×M16—41no—
251C11×M16—41no—
252C11×M16—42no—
253C11×M16—42no—
254C2×C8×C11—21no—
255C2×C8×C11—21no—
256C2×C8×C11—21no—
257C2×C8×C11—21no—
258C2×C8×C11—21no—
259C2×C8×C11—21no—
260C2×C8×C11—21no—
261C2×C8×C11—21no—
262C2×C8×C11—21no—
263C2×C8×C11—21no—
264C2×C8×C11—21no—
265C2×C8×C11—21no—
266C2×C8×C11—42no—
267C2×C8×C11—42no—
268C2×C8×C11C22×C411yescharacteristic
269C2×C8×C11C22×C411yescharacteristic
270C2×C8×C11C22×C411yescharacteristic
271C2×C8×C11C22×C411yescharacteristic
272C2×C8×C11C2×D411yescharacteristic
273C2×C8×C11C2×D411yescharacteristic
274C2×C8×C11C2×D411yescharacteristic
275C2×C8×C11C2×D411yescharacteristic
276C11×C4⋊C4—21no—
277C11×C4⋊C4—21no—
278C11×C4⋊C4C22×C411yescharacteristic
279C11×C4⋊C4C22×C411yescharacteristic
280C11×C22⋊C4—21no—
281C11×C22⋊C4—21no—
282C11×C22⋊C4—21no—
283C11×C22⋊C4—21no—
284C11×C22⋊C4—21no—
285C11×C22⋊C4—42no—
286C42×C11—21no—
287C42×C11—21no—
288C42×C11—21no—
289C42×C11—21no—
290C42×C11—21no—
291#3002C2×C1111yescharacteristic
292#2930C2×C1111yescharacteristic, complemented
293#2879C2×C1111yescharacteristic, complemented
294#1975C2×C1111yescharacteristic, complemented
295#1974C2×C1111yescharacteristic, complemented
296#1938C2×C1111yescharacteristic, complemented
297#1937C2×C1111yescharacteristic, complemented
298#1929C2×C1111yescharacteristic, complemented
299#1929C2×C1111yescharacteristic, complemented
300#1876C2×C1111yescharacteristic, complemented
301#1876C2×C1111yescharacteristic, complemented
302#1871C2×C1111yescharacteristic, complemented
303#1855C2×C1111yescharacteristic, complemented
304#1789C2×C1111yescharacteristic, complemented
305#1753C2×C1111yescharacteristic, complemented
306C23×C11—21no—
307C23×C11—21no—
308C23×C11—21no—
309C23×C11—21no—
310C23×C11—21no—
311C23×C11—41no—
312C23×C11—41no—
313C23×C11—42no—
314C23×C11—81no—
315C23×C11—81no—
316C23×C11C4×D411yescharacteristic
317C23×C11C4×D411yescharacteristic
318C23×C11C2×#4111yescharacteristic
319Q8×C11—21no—
320Q8×C11—21no—
321Q8×C11—21no—
322Q8×C11—21no—
323Q8×C11—21no—
324Q8×C11—21no—
325Q8×C11—42no—
326D4×C11—21no—
327D4×C11—21no—
328D4×C11—21no—
329D4×C11—21no—
330D4×C11—21no—
331D4×C11—21no—
332D4×C11—42no—
333D4×C11—42no—
334D4×C11—42no—
335D4×C11—41no—
336D4×C11—41no—
337D4×C11—41no—
338D4×C11—41no—
339D4×C11—41no—
340D4×C11—41no—
341D4×C11—81no—
342D4×C11—81no—
343C2×C4×C11—21no—
344C2×C4×C11—21no—
345C2×C4×C11—21no—
346C2×C4×C11—21no—
347C2×C4×C11—21no—
348C2×C4×C11—21no—
349C2×C4×C11—21no—
350C2×C4×C11—21no—
351C2×C4×C11—21no—
352C2×C4×C11—21no—
353C2×C4×C11—22no—
354C2×C4×C11—21no—
355C2×C4×C11—21no—
356C2×C4×C11—21no—
357C2×C4×C11—21no—
358C2×C4×C11—21no—
359C2×C4×C11—42no—
360C2×C4×C11—42no—
361C2×C4×C11—41no—
362C2×C4×C11—42no—
363C2×C4×C11—41no—
364C2×C4×C11—41no—
365C2×C4×C11—41no—
366C2×C4×C11—41no—
367C2×C4×C11—41no—
368C2×C4×C11—41no—
369C2×C4×C11—41no—
370C2×C4×C11—41no—
371C2×C4×C11—41no—
372C2×C4×C11—41no—
373C2×C4×C11C4×D411yescharacteristic
374C2×C4×C11C4×D411yescharacteristic
375C2×C4×C11C23×C411yescharacteristic
376C2×C4×C11C22×D411yescharacteristic
377C2×C4×C11H(5,𝔽2)11yescharacteristic
378C2×C4×C11H(5,𝔽2)11yescharacteristic
379C2×C4×C11H(5,𝔽2)11yescharacteristic
380C2×C4×C11H(5,𝔽2)11yescharacteristic
381C8×C11—21no—
382C8×C11—21no—
383C8×C11—21no—
384C8×C11—21no—
385C8×C11—21no—
386C8×C11—21no—
387C8×C11—21no—
388C8×C11—21no—
389C8×C11—41no—
390C8×C11—41no—
391C8×C11—41no—
392C8×C11—41no—
393C22×#41C22×C1111yescharacteristic
394C2×#135C22×C1111yescharacteristic
395C2×#135C22×C1111yescharacteristic
396C2×#131C22×C1111yescharacteristic, complemented
397C22×M16C22×C1111yescharacteristic
398C22×M16C22×C1111yescharacteristic
399#525C22×C1111yescharacteristic
400#452C4×C1111yescharacteristic, complemented
401#452C4×C1111yescharacteristic, complemented
402#451C4×C1111yescharacteristic, complemented
403#450C4×C1111yescharacteristic, complemented
404#449C4×C1111yescharacteristic, complemented
405#449C4×C1111yescharacteristic, complemented
406#448C4×C1111yescharacteristic, complemented
407#447C4×C1111yescharacteristic, complemented
408#436—21no—
409#436—21no—
410#435—21no—
411#435—21no—
412C2×#108C22×C1111yescharacteristic, complemented
413C2×#108C22×C1111yescharacteristic, complemented
414#424C22×C1111yescharacteristic, complemented
415C2×#104C22×C1111yescharacteristic
416C2×#104C22×C1111yescharacteristic
417C2×#104C22×C1111yescharacteristic
418C2×#104C22×C1111yescharacteristic
419C2×#104C22×C1111yescharacteristic, complemented
420C2×#104C22×C1111yescharacteristic, complemented
421#416C22×C1111yescharacteristic
422#416C22×C1111yescharacteristic
423#408—21no—
424#408—21no—
425#408C22×C1111yescharacteristic
426#408C22×C1111yescharacteristic
427#408C22×C1111yescharacteristic
428#408C22×C1111yescharacteristic
429#408C22×C1111yescharacteristic, complemented
430#407—21no—
431#407—21no—
432#407C22×C1111yescharacteristic
433C2×C22⋊C8C22×C1111yescharacteristic
434#405C22×C1111yescharacteristic, complemented
435C2×#97C22×C1111yescharacteristic, complemented
436C2×C4×C8C22×C1111yescharacteristic, complemented
437C4×C22⋊C4C22×C1111yescharacteristic
438#341C22×C1111yescharacteristic, complemented
439#341C22×C1111yescharacteristic, complemented
440#339C22×C1111yescharacteristic, complemented
441#339C22×C1111yescharacteristic, complemented
442#336C22×C1111yescharacteristic, complemented
443#336C22×C1111yescharacteristic, complemented
444C22×C11—21no—
445C22×C11—21no—
446C22×C11—21no—
447C22×C11—21no—
448C22×C11—21no—
449C22×C11—21no—
450C22×C11—21no—
451C22×C11—21no—
452C22×C11—41no—
453C22×C11—41no—
454C22×C11—41no—
455C22×C11—41no—
456C22×C11—41no—
457C22×C11—41no—
458C22×C11—41no—
459C22×C11—41no—
460C22×C11—41no—
461C22×C11—81no—
462C22×C11—81no—
463C22×C11—84no—
464C22×C11C2×C4×D411yescharacteristic
465C22×C11#53811yescharacteristic
466C22×C11#53811yescharacteristic
467C4×C11—21no—
468C4×C11—21no—
469C4×C11—42no—
470C4×C11—41no—
471C4×C11—41no—
472C4×C11—41no—
473C4×C11—41no—
474C4×C11—41no—
475C4×C11—81no—
476C4×C11#51811yescharacteristic
477C4×C11#51811yescharacteristic
478C4×C11#53411yescharacteristic
479C4×C11#53511yescharacteristic
480C2×#41—21no—
481C2×#41—21no—
482C2×#41—41no—
483C2×#41—41no—
484C2×#41—41no—
485C2×#41—41no—
486C2×#41C2×C4×C1111yescharacteristic
487C2×#41C2×C4×C1111yescharacteristic
488C2×#41C23×C1111yescharacteristic
489C2×#41C23×C1111yescharacteristic
490C2×#41C23×C1111yescharacteristic
491C22×Q8C2×C4×C1111yescharacteristic
492C22×D4—21no—
493C22×D4C2×C4×C1111yescharacteristic
494C23×C4—21no—
495C23×C4C23×C1111yescharacteristic
496#135—41no—
497#135—41no—
498#135—41no—
499#135—41no—
500C2×Q16C2×C4×C1111yescharacteristic
501C2×Q16C2×C4×C1111yescharacteristic
502C2×SD16C2×C4×C1111yescharacteristic
503C2×SD16C2×C4×C1111yescharacteristic
504C2×SD16C2×C4×C1111yescharacteristic
505C2×SD16C2×C4×C1111yescharacteristic
506C2×D8C2×C4×C1111yescharacteristic
507C2×D8C2×C4×C1111yescharacteristic
508#131—41no—
509#131—41no—
510C2×M16—21no—
511C2×M16—21no—
512C2×M16—41no—
513C2×M16—41no—
514C2×M16—41no—
515C2×M16—41no—
516C2×M16D4×C1111yescharacteristic
517C2×M16D4×C1111yescharacteristic
518C2×M16D4×C1111yescharacteristic
519C2×M16D4×C1111yescharacteristic
520C2×M16C23×C1111yescharacteristic
521C2×M16C23×C1111yescharacteristic
522C2×M16C23×C1111yescharacteristic
523C2×M16C23×C1111yescharacteristic
524C22×C8—21no—
525C22×C8—21no—
526C22×C8C23×C1111yescharacteristic
527C22×C8C23×C1111yescharacteristic
528C22×C8C23×C1111yescharacteristic
529C22×C8C23×C1111yescharacteristic
530#123—21no—
531C22⋊Q8C2×C4×C1111yescharacteristic
532C22⋊Q8C2×C4×C1111yescharacteristic
533#121C2×C4×C1111yescharacteristic
534#121C2×C4×C1111yescharacteristic
535#120—21no—
536C4×D4—21no—
537C4×D4—21no—
538#117C23×C1111yescharacteristic
539C2×C22⋊C4—21no—
540C2×C42C23×C1111yescharacteristic
541C2×C42C23×C1111yescharacteristic
542#108—41no—
543#108—41no—
544C4⋊C8—21no—
545C4⋊C8—21no—
546#104—41no—
547#104—41no—
548#104—41no—
549#104—41no—
550#104—41no—
551#104—41no—
552#103C2×C4×C1111yescharacteristic
553#103C2×C4×C1111yescharacteristic
554#103C2×C4×C1111yescharacteristic
555#103C2×C4×C1111yescharacteristic
556#102C2×C4×C1111yescharacteristic
557#102C2×C4×C1111yescharacteristic
558#102C2×C4×C1111yescharacteristic
559#102C2×C4×C1111yescharacteristic
560C22⋊C8—21no—
561C22⋊C8—21no—
562C22⋊C8—21no—
563C22⋊C8—21no—
564C22⋊C8—21no—
565C22⋊C8—21no—
566C22⋊C8—21no—
567C22⋊C8—21no—
568C22⋊C8—21no—
569C22⋊C8—21no—
570C22⋊C8—21no—
571C22⋊C8—21no—
572C22⋊C8C2×C4×C1111yescharacteristic
573C22⋊C8C2×C4×C1111yescharacteristic
574C22⋊C8C2×C4×C1111yescharacteristic
575C22⋊C8C2×C4×C1111yescharacteristic
576#97—21no—
577#97—41no—
578C4×C8—21no—
579C4×C8—41no—
580#95—21no—
581C2×C11—21no—
582C2×C11—21no—
583C2×C11—41no—
584C2×C11—41no—
585C2×C11—81no—
586C2×C11—81no—
587C2×C11—81no—
588C2×C11#232111yescharacteristic
589C2×C11#295611yescharacteristic
590C2×C11#295711yescharacteristic
591C24—21no—
592C24C11×#4111yescharacteristic
593#41—21no—
594#41—21no—
595#41—21no—
596#41—21no—
597#41—21no—
598#41—21no—
599#41—21no—
600#41—21no—
601#41—21no—
602#41—21no—
603#41—21no—
604#41—21no—
605#41—41no—
606#41—41no—
607#41—41no—
608#41—41no—
609#41—42no—
610#41—42no—
611#41—42no—
612#41—42no—
613C2×Q8—21no—
614C2×Q8—41no—
615C2×Q8—41no—
616C2×Q8C22×C4×C1111yescharacteristic
617C2×Q8C22×C4×C1111yescharacteristic
618C2×Q8C22×C4×C1111yescharacteristic
619C2×D4—21no—
620C2×D4—21no—
621C2×D4—21no—
622C2×D4—21no—
623C2×D4—21no—
624C2×D4—21no—
625C2×D4—21no—
626C2×D4—21no—
627C2×D4—41no—
628C2×D4—41no—
629C2×D4—42no—
630C2×D4—42no—
631C2×D4C22×C4×C1111yescharacteristic
632C2×D4C22×C4×C1111yescharacteristic
633C2×D4C22×C4×C1111yescharacteristic
634C22×C4—21no—
635C22×C4—21no—
636C22×C4—21no—
637C22×C4—21no—
638C22×C4—21no—
639C22×C4—21no—
640C22×C4—21no—
641C22×C4—21no—
642C22×C4—21no—
643C22×C4—21no—
644C22×C4—21no—
645C22×C4—21no—
646C22×C4—42no—
647C22×C4—42no—
648C22×C4C22×C4×C1111yescharacteristic
649C22×C4C22×C4×C1111yescharacteristic
650C22×C4C2×D4×C1111yescharacteristic
651C22×C4C2×D4×C1111yescharacteristic
652C22×C4C11×#4111yescharacteristic
653C22×C4C24×C1111yescharacteristic
654Q16—41no—
655Q16—41no—
656SD16—41no—
657SD16—41no—
658SD16—41no—
659SD16—41no—
660D8—41no—
661D8—41no—
662M16—21no—
663M16—21no—
664M16—21no—
665M16—21no—
666M16—21no—
667M16—21no—
668M16—21no—
669M16—21no—
670M16—41no—
671M16—41no—
672M16—41no—
673M16—41no—
674M16—42no—
675M16—42no—
676C2×C8—21no—
677C2×C8—21no—
678C2×C8—21no—
679C2×C8—21no—
680C2×C8—21no—
681C2×C8—21no—
682C2×C8—21no—
683C2×C8—21no—
684C2×C8—21no—
685C2×C8—21no—
686C2×C8—21no—
687C2×C8—21no—
688C2×C8—42no—
689C2×C8—42no—
690C2×C8C22×C4×C1111yescharacteristic
691C2×C8C22×C4×C1111yescharacteristic
692C2×C8C22×C4×C1111yescharacteristic
693C2×C8C22×C4×C1111yescharacteristic
694C2×C8C2×D4×C1111yescharacteristic
695C2×C8C2×D4×C1111yescharacteristic
696C2×C8C2×D4×C1111yescharacteristic
697C2×C8C2×D4×C1111yescharacteristic
698C4⋊C4—21no—
699C4⋊C4—21no—
700C4⋊C4C22×C4×C1111yescharacteristic
701C4⋊C4C22×C4×C1111yescharacteristic
702C22⋊C4—21no—
703C22⋊C4—21no—
704C22⋊C4—21no—
705C22⋊C4—21no—
706C22⋊C4—21no—
707C22⋊C4—42no—
708C42—21no—
709C42—21no—
710C42—21no—
711C42—21no—
712C42—21no—
713C11#2206211yescharacteristic, direct product factor, Sylow
714C23—21no—
715C23—21no—
716C23—21no—
717C23—21no—
718C23—21no—
719C23—41no—
720C23—41no—
721C23—42no—
722C23—81no—
723C23—81no—
724C23C4×D4×C1111yescharacteristic
725C23C4×D4×C1111yescharacteristic
726C23C2×C11×#4111yescharacteristic
727Q8—21no—
728Q8—21no—
729Q8—21no—
730Q8—21no—
731Q8—21no—
732Q8—21no—
733Q8—42no—
734D4—21no—
735D4—21no—
736D4—21no—
737D4—21no—
738D4—21no—
739D4—21no—
740D4—42no—
741D4—42no—
742D4—42no—
743D4—41no—
744D4—41no—
745D4—41no—
746D4—41no—
747D4—41no—
748D4—41no—
749D4—81no—
750D4—81no—
751C2×C4—21no—
752C2×C4—21no—
753C2×C4—21no—
754C2×C4—21no—
755C2×C4—21no—
756C2×C4—21no—
757C2×C4—21no—
758C2×C4—21no—
759C2×C4—21no—
760C2×C4—21no—
761C2×C4—22no—
762C2×C4—21no—
763C2×C4—21no—
764C2×C4—21no—
765C2×C4—21no—
766C2×C4—21no—
767C2×C4—42no—
768C2×C4—42no—
769C2×C4—41no—
770C2×C4—42no—
771C2×C4—41no—
772C2×C4—41no—
773C2×C4—41no—
774C2×C4—41no—
775C2×C4—41no—
776C2×C4—41no—
777C2×C4—41no—
778C2×C4—41no—
779C2×C4—41no—
780C2×C4—41no—
781C2×C4C4×D4×C1111yescharacteristic
782C2×C4C4×D4×C1111yescharacteristic
783C2×C4C23×C4×C1111yescharacteristic
784C2×C4C22×D4×C1111yescharacteristic
785C2×C4C11×H(5,𝔽2)11yescharacteristic
786C2×C4C11×H(5,𝔽2)11yescharacteristic
787C2×C4C11×H(5,𝔽2)11yescharacteristic
788C2×C4C11×H(5,𝔽2)11yescharacteristic
789C8—21no—
790C8—21no—
791C8—21no—
792C8—21no—
793C8—21no—
794C8—21no—
795C8—21no—
796C8—21no—
797C8—41no—
798C8—41no—
799C8—41no—
800C8—41no—
801C22—21no—
802C22—21no—
803C22—21no—
804C22—21no—
805C22—21no—
806C22—21no—
807C22—21no—
808C22—21no—
809C22—41no—
810C22—41no—
811C22—41no—
812C22—41no—
813C22—41no—
814C22—41no—
815C22—41no—
816C22—41no—
817C22—41no—
818C22—81no—
819C22—81no—
820C22—84no—
821C22C2×C4×D4×C1111yescharacteristic
822C22C11×#53811yescharacteristic
823C22C11×#53811yescharacteristic
824C4—21no—
825C4—21no—
826C4—42no—
827C4—41no—
828C4—41no—
829C4—41no—
830C4—41no—
831C4—41no—
832C4—81no—
833C4C11×#51811yescharacteristic
834C4C11×#51811yescharacteristic
835C4C11×#53411yescharacteristic
836C4C11×#53511yescharacteristic
837C2—21no—
838C2—21no—
839C2—41no—
840C2—41no—
841C2—81no—
842C2—81no—
843C2—81no—
844C2C11×#232111yescharacteristic
845C2C11×#295611yescharacteristic
846C2C11×#295711yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC22×C11C2×C4×D4
prime radicalC11×#3002C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C22×C11×M16 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2930C2semidirect
3. C11×#2879C2semidirect
4. C11×#1975C2semidirect
5. C11×#1974C2semidirect
6. C11×#1938C2semidirect
7. C11×#1937C2semidirect
8. C11×#1929C2semidirect
9. C11×#1929C2semidirect
10. C11×#1876C2semidirect
11. C11×#1876C2semidirect
12. C11×#1871C2semidirect
13. C11×#1855C2semidirect
14. C11×#1789C2semidirect
15. C11×#1753C2semidirect
19. C2×C11×#131C22semidirect
23. C11×#452C4semidirect
24. C11×#452C4semidirect
25. C11×#451C4semidirect
26. C11×#450C4semidirect
27. C11×#449C4semidirect
28. C11×#449C4semidirect
29. C11×#448C4semidirect
30. C11×#447C4semidirect
35. C2×C11×#108C22semidirect
36. C2×C11×#108C22semidirect
37. C11×#424C22semidirect
42. C2×C11×#104C22semidirect
43. C2×C11×#104C22semidirect
52. C11×#408C22semidirect
57. C11×#405C22semidirect
58. C2×C11×#97C22semidirect
59. C2×C4×C8×C11C22semidirect
61. C11×#341C22semidirect
62. C11×#341C22semidirect
63. C11×#339C22semidirect
64. C11×#339C22semidirect
65. C11×#336C22semidirect
66. C11×#336C22semidirect
168. #22062C11direct (N × H)
292. #2930C2×C11semidirect
293. #2879C2×C11semidirect
294. #1975C2×C11semidirect
295. #1974C2×C11semidirect
296. #1938C2×C11semidirect
297. #1937C2×C11semidirect
298. #1929C2×C11semidirect
299. #1929C2×C11semidirect
300. #1876C2×C11semidirect
301. #1876C2×C11semidirect
302. #1871C2×C11semidirect
303. #1855C2×C11semidirect
304. #1789C2×C11semidirect
305. #1753C2×C11semidirect
396. C2×#131C22×C11semidirect
400. #452C4×C11semidirect
401. #452C4×C11semidirect
402. #451C4×C11semidirect
403. #450C4×C11semidirect
404. #449C4×C11semidirect
405. #449C4×C11semidirect
406. #448C4×C11semidirect
407. #447C4×C11semidirect
412. C2×#108C22×C11semidirect
413. C2×#108C22×C11semidirect
414. #424C22×C11semidirect
419. C2×#104C22×C11semidirect
420. C2×#104C22×C11semidirect
429. #408C22×C11semidirect
434. #405C22×C11semidirect
435. C2×#97C22×C11semidirect
436. C2×C4×C8C22×C11semidirect
438. #341C22×C11semidirect
439. #341C22×C11semidirect
440. #339C22×C11semidirect
441. #339C22×C11semidirect
442. #336C22×C11semidirect
443. #336C22×C11semidirect
713. C11#22062direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#30022
C11×#29302
C11×#28792
C11×#19752
C11×#19742
C11×#19382
C11×#19372
C11×#19292
C11×#18762
C11×#18712
C11×#18552
C11×#17892
C11×#17532
#2206211