Finite Group Databasebeta

← C11×#24295 #14601488

Subgroups — C11×#24295 #14601488

Order 2816.

1302 conjugacy classes of subgroups.

The subgroup lattice has 924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#577C211yesmaximal, characteristic, complemented
2C11×#3067C211yesmaximal, characteristic, complemented
3C11×#3057C211yesmaximal, characteristic, complemented
4C11×#3020C211yesmaximal, characteristic, complemented
5C11×#3019C211yesmaximal, characteristic, complemented
6C11×#2955C211yesmaximal, characteristic, complemented
7C11×#2049C211yesmaximal, characteristic, complemented
8C11×#2048C211yesmaximal, characteristic, complemented
9C11×#2009C211yesmaximal, characteristic, complemented
10C11×#2008C211yesmaximal, characteristic, complemented
11C11×#1977C211yesmaximal, characteristic, complemented
12C11×#1976C211yesmaximal, characteristic, complemented
13C11×#1814C211yesmaximal, characteristic, complemented
14C11×#1796C211yesmaximal, characteristic, complemented
15C11×#1795C211yesmaximal, characteristic, complemented
16C2×C11×2−1+4C2211yescharacteristic
17C2×C11×H(5,𝔽2)C2211yescharacteristic
18C11×#577—22no—
19C11×#577—22no—
20C11×#577—22no—
21C11×#577—22no—
22C11×#575C2211yescharacteristic
23C11×#575C2211yescharacteristic
24C11×#575C2211yescharacteristic, complemented
25C2×C11×#137—21no—
26C2×C11×#137C2211yescharacteristic
27C2×C11×AGL(1,ℤ/8)—21no—
28C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
29C2×C11×#135—21no—
30C2×C11×#135C2211yescharacteristic
31C22×C11×SD16—21no—
32C22×C11×SD16C2211yescharacteristic
33C2×C11×#131C2211yescharacteristic
34C2×C11×#131C2211yescharacteristic, complemented
35C11×#536C2211yescharacteristic, complemented
36C11×#535C2211yescharacteristic
37C11×#473—21no—
38C11×#472—21no—
39C11×#471—21no—
40C11×#471—21no—
41C11×#468—22no—
42C11×#465—22no—
43C11×#456—22no—
44C11×#455—22no—
45C11×#454—22no—
46C11×#453—22no—
47C11×#444—22no—
48C11×#443—22no—
49C11×#430C2211yescharacteristic, complemented
50C2×C11×#108C2211yescharacteristic, complemented
51C11×#427C2211yescharacteristic, complemented
52C11×#421C2211yescharacteristic
53C11×#421C2211yescharacteristic
54C11×#421C2211yescharacteristic
55C11×#421C2211yescharacteristic
56C11×#421C2211yescharacteristic, complemented
57C11×#421C2211yescharacteristic, complemented
58C11×#419C2211yescharacteristic, complemented
59C11×#419C2211yescharacteristic, complemented
60C11×#418C2211yescharacteristic
61C11×#418C2211yescharacteristic
62C11×#413C2211yescharacteristic
63C11×#413C2211yescharacteristic, complemented
64C2×C11×#101C2211yescharacteristic, complemented
65C2×C11×#100C2211yescharacteristic
66C11×#410C2211yescharacteristic
67C11×#410C2211yescharacteristic, complemented
68C11×#405C2211yescharacteristic, complemented
69C11×#344C2211yescharacteristic, complemented
70C11×#344C2211yescharacteristic, complemented
71C11×2−1+4—22no—
72C11×2−1+4—22no—
73C11×2−1+4—22no—
74C11×2−1+4—41no—
75C11×H(5,𝔽2)—22no—
76C11×H(5,𝔽2)—22no—
77C11×H(5,𝔽2)—22no—
78C11×H(5,𝔽2)—41no—
79C2×C11×#41—21no—
80C2×C11×#41—21no—
81C2×C11×#41—21no—
82C2×C11×#41—21no—
83C2×C11×#41—41no—
84C2×C11×#41C2311yescharacteristic
85C2×C11×#41C2311yescharacteristic
86C2×C11×#41C2311yescharacteristic
87C2×C11×#41C2311yescharacteristic
88C22×Q8×C11—21no—
89C22×Q8×C11—21no—
90C22×Q8×C11C2311yescharacteristic
91C22×D4×C11—21no—
92C22×D4×C11—21no—
93C22×D4×C11—41no—
94C22×D4×C11C2311yescharacteristic
95C11×#137—24no—
96C11×#137—24no—
97C11×#137—22no—
98C11×#137—21no—
99C11×#137—21no—
100C11×#137—21no—
101C11×#137—21no—
102C11×#137—21no—
103C11×#137—22no—
104C11×#137D412yes—
105C11×AGL(1,ℤ/8)—24no—
106C11×AGL(1,ℤ/8)—24no—
107C11×AGL(1,ℤ/8)—22no—
108C11×AGL(1,ℤ/8)—21no—
109C11×AGL(1,ℤ/8)—21no—
110C11×AGL(1,ℤ/8)—21no—
111C11×AGL(1,ℤ/8)—21no—
112C11×AGL(1,ℤ/8)—21no—
113C11×AGL(1,ℤ/8)—22no—
114C11×AGL(1,ℤ/8)D412yes—
115C11×#135—24no—
116C11×#135—24no—
117C11×#135—22no—
118C11×#135—21no—
119C11×#135—21no—
120C11×#135—21no—
121C11×#135—21no—
122C11×#135—41no—
123C11×#135—41no—
124C2×C11×Q16—21no—
125C2×C11×Q16D411yescharacteristic, complemented
126C2×C11×SD16—24no—
127C2×C11×SD16—24no—
128C2×C11×SD16—21no—
129C2×C11×SD16—21no—
130C2×C11×SD16—21no—
131C2×C11×SD16—21no—
132C2×C11×SD16—21no—
133C2×C11×SD16—21no—
134C2×C11×SD16D412yes—
135C2×C11×SD16D412yes—
136C2×C11×SD16D411yescharacteristic, complemented
137C2×C11×SD16D411yescharacteristic, complemented
138C2×C11×D8—21no—
139C2×C11×D8D411yescharacteristic, complemented
140C11×#131—21no—
141C11×#131—21no—
142C11×#131—21no—
143C11×#131—21no—
144C11×#131—21no—
145C11×#131—21no—
146C11×#131D412yescomplemented
147C11×#131D412yescomplemented
148C2×C11×M16—21no—
149C2×C11×M16—21no—
150C2×C11×M16C2311yescharacteristic
151C2×C11×M16C2311yescharacteristic
152C2×C11×M16C2311yescharacteristic
153C2×C11×M16C2311yescharacteristic
154C2×C11×M16C2311yescharacteristic
155C22×C8×C11—21no—
156C22×C8×C11—21no—
157C22×C8×C11C2311yescharacteristic
158C11×C4⋊Q8—21no—
159C11×#127—21no—
160C11×#124—21no—
161C11×#124—21no—
162C11×#123—41no—
163C11×C22⋊Q8—22no—
164C11×#121—22no—
165C11×#120—41no—
166C11×#117C2311yescharacteristic
167C11×#117C2311yescharacteristic
168C11×#117C2311yescharacteristic
169C11×#108—22no—
170C11×#108—21no—
171C11×#108—21no—
172C11×#107—21no—
173C11×#106—21no—
174C11×#104—22no—
175C11×#104—22no—
176C11×#104—22no—
177C11×#104—22no—
178C11×#104—22no—
179C11×#104—22no—
180C11×#103—22no—
181C11×#103—41no—
182C11×#102—22no—
183C11×#102—41no—
184C11×#101—21no—
185C11×#101—21no—
186C11×#101—22no—
187C11×#100—21no—
188C11×#100—21no—
189C11×#100—22no—
190C11×#99—41no—
191C11×#99—41no—
192C11×#97—21no—
193C4×C8×C11—21no—
194#24295C1111yesmaximal, characteristic, direct product factor, Sylow
195C24×C11—21no—
196C24×C11—41no—
197C11×#41—21no—
198C11×#41—21no—
199C11×#41—24no—
200C11×#41—24no—
201C11×#41—21no—
202C11×#41—21no—
203C11×#41—21no—
204C11×#41—21no—
205C11×#41—21no—
206C11×#41—21no—
207C11×#41—21no—
208C11×#41—21no—
209C11×#41—21no—
210C11×#41—21no—
211C11×#41—21no—
212C11×#41—21no—
213C11×#41—42no—
214C11×#41—44no—
215C11×#41—42no—
216C11×#41—42no—
217C11×#41—42no—
218C11×#41—44no—
219C11×#41—42no—
220C11×#41—42no—
221C11×#41C2×D412yes—
222C11×#41C2×D412yes—
223C2×Q8×C11—21no—
224C2×Q8×C11—24no—
225C2×Q8×C11—21no—
226C2×Q8×C11—21no—
227C2×Q8×C11—21no—
228C2×Q8×C11—21no—
229C2×Q8×C11—41no—
230C2×Q8×C11—42no—
231C2×Q8×C11—42no—
232C2×Q8×C11—42no—
233C2×Q8×C11C2×D411yescharacteristic
234C2×Q8×C11C2×D411yescharacteristic
235C2×Q8×C11C2×D412yes—
236C2×Q8×C11C2×D411yescharacteristic
237C2×Q8×C11#4111yescharacteristic
238C2×D4×C11—21no—
239C2×D4×C11—24no—
240C2×D4×C11—21no—
241C2×D4×C11—21no—
242C2×D4×C11—21no—
243C2×D4×C11—21no—
244C2×D4×C11—21no—
245C2×D4×C11—21no—
246C2×D4×C11—21no—
247C2×D4×C11—21no—
248C2×D4×C11—42no—
249C2×D4×C11—41no—
250C2×D4×C11—41no—
251C2×D4×C11—42no—
252C2×D4×C11—44no—
253C2×D4×C11—44no—
254C2×D4×C11—41no—
255C2×D4×C11—42no—
256C2×D4×C11—42no—
257C2×D4×C11C2×D411yescharacteristic
258C2×D4×C11C2×D411yescharacteristic
259C2×D4×C11C2×D412yes—
260C2×D4×C11C2×D411yescharacteristic
261C2×D4×C11#4111yescharacteristic
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—21no—
267C22×C4×C11—41no—
268C22×C4×C11—41no—
269C22×C4×C11—41no—
270C22×C4×C11C2411yescharacteristic
271C11×Q16—24no—
272C11×Q16—21no—
273C11×Q16—21no—
274C11×Q16—22no—
275C11×Q16—41no—
276C11×Q16—41no—
277C11×SD16—24no—
278C11×SD16—24no—
279C11×SD16—22no—
280C11×SD16—22no—
281C11×SD16—21no—
282C11×SD16—21no—
283C11×SD16—22no—
284C11×SD16—22no—
285C11×SD16—21no—
286C11×SD16—21no—
287C11×SD16—22no—
288C11×SD16—22no—
289C11×SD16—41no—
290C11×SD16—41no—
291C11×SD16—41no—
292C11×SD16—41no—
293C11×D8—24no—
294C11×D8—21no—
295C11×D8—21no—
296C11×D8—22no—
297C11×D8—41no—
298C11×D8—41no—
299C11×M16—22no—
300C11×M16—22no—
301C11×M16—21no—
302C11×M16—21no—
303C11×M16—21no—
304C11×M16—21no—
305C11×M16—21no—
306C11×M16—21no—
307C11×M16—21no—
308C11×M16—21no—
309C11×M16—41no—
310C11×M16—41no—
311C11×M16C2×D412yes—
312C11×M16C2×D412yes—
313C2×C8×C11—22no—
314C2×C8×C11—22no—
315C2×C8×C11—21no—
316C2×C8×C11—21no—
317C2×C8×C11—21no—
318C2×C8×C11—21no—
319C2×C8×C11—21no—
320C2×C8×C11—41no—
321C2×C8×C11—41no—
322C2×C8×C11C2×D411yescharacteristic
323C2×C8×C11C2×D411yescharacteristic
324C2×C8×C11C2×D411yescharacteristic
325C2×C8×C11C2×D411yescharacteristic
326C2×C8×C11C2×D411yescharacteristic
327C2×C8×C11C2×D411yescharacteristic
328C11×C4⋊C4—21no—
329C11×C4⋊C4—21no—
330C11×C4⋊C4—21no—
331C11×C4⋊C4—42no—
332C11×C22⋊C4—21no—
333C11×C22⋊C4—21no—
334C11×C22⋊C4—21no—
335C11×C22⋊C4—42no—
336C11×C22⋊C4—42no—
337C42×C11—21no—
338C42×C11—21no—
339C42×C11—21no—
340C2×#577C2×C1111yescharacteristic, complemented
341#3067C2×C1111yescharacteristic, complemented
342#3057C2×C1111yescharacteristic, complemented
343#3020C2×C1111yescharacteristic, complemented
344#3019C2×C1111yescharacteristic, complemented
345#2955C2×C1111yescharacteristic, complemented
346#2049C2×C1111yescharacteristic, complemented
347#2048C2×C1111yescharacteristic, complemented
348#2009C2×C1111yescharacteristic, complemented
349#2008C2×C1111yescharacteristic, complemented
350#1977C2×C1111yescharacteristic, complemented
351#1976C2×C1111yescharacteristic, complemented
352#1814C2×C1111yescharacteristic, complemented
353#1796C2×C1111yescharacteristic, complemented
354#1795C2×C1111yescharacteristic, complemented
355C23×C11—21no—
356C23×C11—21no—
357C23×C11—22no—
358C23×C11—21no—
359C23×C11—21no—
360C23×C11—44no—
361C23×C11—41no—
362C23×C11—41no—
363C23×C11—161no—
364C23×C11—162no—
365C23×C11H(5,𝔽2)11yescharacteristic
366Q8×C11—21no—
367Q8×C11—21no—
368Q8×C11—22no—
369Q8×C11—21no—
370Q8×C11—21no—
371Q8×C11—21no—
372Q8×C11—21no—
373Q8×C11—21no—
374Q8×C11—22no—
375Q8×C11—44no—
376Q8×C11—41no—
377Q8×C11—41no—
378Q8×C11#12112yes—
379D4×C11—22no—
380D4×C11—22no—
381D4×C11—21no—
382D4×C11—22no—
383D4×C11—21no—
384D4×C11—21no—
385D4×C11—21no—
386D4×C11—21no—
387D4×C11—21no—
388D4×C11—21no—
389D4×C11—22no—
390D4×C11—44no—
391D4×C11—44no—
392D4×C11—44no—
393D4×C11—41no—
394D4×C11—41no—
395D4×C11—41no—
396D4×C11—41no—
397D4×C11—41no—
398D4×C11—41no—
399D4×C11—41no—
400D4×C11—41no—
401D4×C11—162no—
402D4×C11#12112yes—
403C2×C4×C11—21no—
404C2×C4×C11—22no—
405C2×C4×C11—22no—
406C2×C4×C11—21no—
407C2×C4×C11—22no—
408C2×C4×C11—21no—
409C2×C4×C11—21no—
410C2×C4×C11—44no—
411C2×C4×C11—44no—
412C2×C4×C11—44no—
413C2×C4×C11—41no—
414C2×C4×C11—41no—
415C2×C4×C11—41no—
416C2×C4×C11—41no—
417C2×C4×C11—41no—
418C2×C4×C11—41no—
419C2×C4×C11—41no—
420C2×C4×C11—41no—
421C2×C4×C11—41no—
422C2×C4×C11—41no—
423C2×C4×C11—41no—
424C2×C4×C11C22×D411yescharacteristic
425C2×C4×C11C22×D411yescharacteristic
426C2×C4×C11C22×D411yescharacteristic
427C2×C4×C11C22×D411yescharacteristic
428C2×C4×C11C2×#4111yescharacteristic
429C2×C4×C11H(5,𝔽2)11yescharacteristic
430C8×C11—22no—
431C8×C11—22no—
432C8×C11—41no—
433C8×C11—41no—
434C8×C11—41no—
435C8×C11#12011yescharacteristic
436C8×C11#12011yescharacteristic
437C8×C11#12011yescharacteristic
438C8×C11#12011yescharacteristic
439C2×2−1+4C22×C1111yescharacteristic
440C2×H(5,𝔽2)C22×C1111yescharacteristic
441#577—22no—
442#577—22no—
443#577—22no—
444#577—22no—
445#575C22×C1111yescharacteristic
446#575C22×C1111yescharacteristic
447#575C22×C1111yescharacteristic, complemented
448C2×#137—21no—
449C2×#137C22×C1111yescharacteristic
450C2×AGL(1,ℤ/8)—21no—
451C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
452C2×#135—21no—
453C2×#135C22×C1111yescharacteristic
454C22×SD16—21no—
455C22×SD16C22×C1111yescharacteristic
456C2×#131C22×C1111yescharacteristic
457C2×#131C22×C1111yescharacteristic, complemented
458#536C22×C1111yescharacteristic, complemented
459#535C22×C1111yescharacteristic
460#473—21no—
461#472—21no—
462#471—21no—
463#471—21no—
464#468—22no—
465#465—22no—
466#456—22no—
467#455—22no—
468#454—22no—
469#453—22no—
470#444—22no—
471#443—22no—
472#430C22×C1111yescharacteristic, complemented
473C2×#108C22×C1111yescharacteristic, complemented
474#427C22×C1111yescharacteristic, complemented
475#421C22×C1111yescharacteristic
476#421C22×C1111yescharacteristic
477#421C22×C1111yescharacteristic
478#421C22×C1111yescharacteristic
479#421C22×C1111yescharacteristic, complemented
480#421C22×C1111yescharacteristic, complemented
481#419C22×C1111yescharacteristic, complemented
482#419C22×C1111yescharacteristic, complemented
483#418C22×C1111yescharacteristic
484#418C22×C1111yescharacteristic
485#413C22×C1111yescharacteristic
486#413C22×C1111yescharacteristic, complemented
487C2×#101C22×C1111yescharacteristic, complemented
488C2×#100C22×C1111yescharacteristic
489#410C22×C1111yescharacteristic
490#410C22×C1111yescharacteristic, complemented
491#405C22×C1111yescharacteristic, complemented
492#344C22×C1111yescharacteristic, complemented
493#344C22×C1111yescharacteristic, complemented
494C22×C11—22no—
495C22×C11—41no—
496C22×C11—42no—
497C22×C11—42no—
498C22×C11—41no—
499C22×C11—42no—
500C22×C11—41no—
501C22×C11—41no—
502C22×C11—82no—
503C22×C11—81no—
504C22×C11—81no—
505C22×C11—82no—
506C22×C11—161no—
507C22×C11—164no—
508C22×C11#53511yescharacteristic
509C22×C11D4211yescharacteristic
510C22×C11#54611yescharacteristic
511C4×C11—22no—
512C4×C11—41no—
513C4×C11—42no—
514C4×C11—41no—
515C4×C11—41no—
516C4×C11—81no—
517C4×C11—81no—
518C4×C11—81no—
519C4×C11C2×#12011yescharacteristic
520C4×C11C2×#12111yescharacteristic
521C4×C11D4211yescharacteristic
522C4×C11#54611yescharacteristic
5232−1+4—22no—
5242−1+4—22no—
5252−1+4—22no—
5262−1+4—41no—
527H(5,𝔽2)—22no—
528H(5,𝔽2)—22no—
529H(5,𝔽2)—22no—
530H(5,𝔽2)—41no—
531C2×#41—21no—
532C2×#41—21no—
533C2×#41—21no—
534C2×#41—21no—
535C2×#41—41no—
536C2×#41C23×C1111yescharacteristic
537C2×#41C23×C1111yescharacteristic
538C2×#41C23×C1111yescharacteristic
539C2×#41C23×C1111yescharacteristic
540C22×Q8—21no—
541C22×Q8—21no—
542C22×Q8C23×C1111yescharacteristic
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—41no—
546C22×D4C23×C1111yescharacteristic
547#137—24no—
548#137—24no—
549#137—22no—
550#137—21no—
551#137—21no—
552#137—21no—
553#137—21no—
554#137—21no—
555#137—22no—
556#137D4×C1112yes—
557AGL(1,ℤ/8)—24no—
558AGL(1,ℤ/8)—24no—
559AGL(1,ℤ/8)—22no—
560AGL(1,ℤ/8)—21no—
561AGL(1,ℤ/8)—21no—
562AGL(1,ℤ/8)—21no—
563AGL(1,ℤ/8)—21no—
564AGL(1,ℤ/8)—21no—
565AGL(1,ℤ/8)—22no—
566AGL(1,ℤ/8)D4×C1112yes—
567#135—24no—
568#135—24no—
569#135—22no—
570#135—21no—
571#135—21no—
572#135—21no—
573#135—21no—
574#135—41no—
575#135—41no—
576C2×Q16—21no—
577C2×Q16D4×C1111yescharacteristic, complemented
578C2×SD16—24no—
579C2×SD16—24no—
580C2×SD16—21no—
581C2×SD16—21no—
582C2×SD16—21no—
583C2×SD16—21no—
584C2×SD16—21no—
585C2×SD16—21no—
586C2×SD16D4×C1112yes—
587C2×SD16D4×C1112yes—
588C2×SD16D4×C1111yescharacteristic, complemented
589C2×SD16D4×C1111yescharacteristic, complemented
590C2×D8—21no—
591C2×D8D4×C1111yescharacteristic, complemented
592#131—21no—
593#131—21no—
594#131—21no—
595#131—21no—
596#131—21no—
597#131—21no—
598#131D4×C1112yescomplemented
599#131D4×C1112yescomplemented
600C2×M16—21no—
601C2×M16—21no—
602C2×M16C23×C1111yescharacteristic
603C2×M16C23×C1111yescharacteristic
604C2×M16C23×C1111yescharacteristic
605C2×M16C23×C1111yescharacteristic
606C2×M16C23×C1111yescharacteristic
607C22×C8—21no—
608C22×C8—21no—
609C22×C8C23×C1111yescharacteristic
610C4⋊Q8—21no—
611#127—21no—
612#124—21no—
613#124—21no—
614#123—41no—
615C22⋊Q8—22no—
616#121—22no—
617#120—41no—
618#117C23×C1111yescharacteristic
619#117C23×C1111yescharacteristic
620#117C23×C1111yescharacteristic
621#108—22no—
622#108—21no—
623#108—21no—
624#107—21no—
625#106—21no—
626#104—22no—
627#104—22no—
628#104—22no—
629#104—22no—
630#104—22no—
631#104—22no—
632#103—22no—
633#103—41no—
634#102—22no—
635#102—41no—
636#101—21no—
637#101—21no—
638#101—22no—
639#100—21no—
640#100—21no—
641#100—22no—
642#99—41no—
643#99—41no—
644#97—21no—
645C4×C8—21no—
646C2×C11—21no—
647C2×C11—21no—
648C2×C11—21no—
649C2×C11—42no—
650C2×C11—81no—
651C2×C11—81no—
652C2×C11—82no—
653C2×C11—81no—
654C2×C11#240811yescharacteristic
655C24—21no—
656C24—41no—
657#41—21no—
658#41—21no—
659#41—24no—
660#41—24no—
661#41—21no—
662#41—21no—
663#41—21no—
664#41—21no—
665#41—21no—
666#41—21no—
667#41—21no—
668#41—21no—
669#41—21no—
670#41—21no—
671#41—21no—
672#41—21no—
673#41—42no—
674#41—44no—
675#41—42no—
676#41—42no—
677#41—42no—
678#41—44no—
679#41—42no—
680#41—42no—
681#41C2×D4×C1112yes—
682#41C2×D4×C1112yes—
683C2×Q8—21no—
684C2×Q8—24no—
685C2×Q8—21no—
686C2×Q8—21no—
687C2×Q8—21no—
688C2×Q8—21no—
689C2×Q8—41no—
690C2×Q8—42no—
691C2×Q8—42no—
692C2×Q8—42no—
693C2×Q8C2×D4×C1111yescharacteristic
694C2×Q8C2×D4×C1111yescharacteristic
695C2×Q8C2×D4×C1112yes—
696C2×Q8C2×D4×C1111yescharacteristic
697C2×Q8C11×#4111yescharacteristic
698C2×D4—21no—
699C2×D4—24no—
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—42no—
709C2×D4—41no—
710C2×D4—41no—
711C2×D4—42no—
712C2×D4—44no—
713C2×D4—44no—
714C2×D4—41no—
715C2×D4—42no—
716C2×D4—42no—
717C2×D4C2×D4×C1111yescharacteristic
718C2×D4C2×D4×C1111yescharacteristic
719C2×D4C2×D4×C1112yes—
720C2×D4C2×D4×C1111yescharacteristic
721C2×D4C11×#4111yescharacteristic
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—41no—
728C22×C4—41no—
729C22×C4—41no—
730C22×C4C24×C1111yescharacteristic
731Q16—24no—
732Q16—22no—
733Q16—21no—
734Q16—21no—
735Q16—41no—
736Q16—41no—
737SD16—24no—
738SD16—24no—
739SD16—22no—
740SD16—22no—
741SD16—22no—
742SD16—22no—
743SD16—21no—
744SD16—21no—
745SD16—22no—
746SD16—22no—
747SD16—21no—
748SD16—21no—
749SD16—41no—
750SD16—41no—
751SD16—41no—
752SD16—41no—
753D8—24no—
754D8—22no—
755D8—21no—
756D8—21no—
757D8—41no—
758D8—41no—
759M16—21no—
760M16—21no—
761M16—22no—
762M16—22no—
763M16—21no—
764M16—21no—
765M16—21no—
766M16—21no—
767M16—21no—
768M16—21no—
769M16—41no—
770M16—41no—
771M16C2×D4×C1112yes—
772M16C2×D4×C1112yes—
773C2×C8—21no—
774C2×C8—21no—
775C2×C8—22no—
776C2×C8—22no—
777C2×C8—21no—
778C2×C8—21no—
779C2×C8—21no—
780C2×C8—41no—
781C2×C8—41no—
782C2×C8C2×D4×C1111yescharacteristic
783C2×C8C2×D4×C1111yescharacteristic
784C2×C8C2×D4×C1111yescharacteristic
785C2×C8C2×D4×C1111yescharacteristic
786C2×C8C2×D4×C1111yescharacteristic
787C2×C8C2×D4×C1111yescharacteristic
788C4⋊C4—21no—
789C4⋊C4—21no—
790C4⋊C4—21no—
791C4⋊C4—42no—
792C22⋊C4—21no—
793C22⋊C4—21no—
794C22⋊C4—21no—
795C22⋊C4—42no—
796C22⋊C4—42no—
797C42—21no—
798C42—21no—
799C42—21no—
800C11#2429511yescharacteristic, direct product factor, Sylow
801C23—21no—
802C23—21no—
803C23—22no—
804C23—21no—
805C23—21no—
806C23—44no—
807C23—41no—
808C23—41no—
809C23—161no—
810C23—162no—
811C23C11×H(5,𝔽2)11yescharacteristic
812Q8—21no—
813Q8—21no—
814Q8—22no—
815Q8—21no—
816Q8—21no—
817Q8—21no—
818Q8—21no—
819Q8—21no—
820Q8—22no—
821Q8—44no—
822Q8—41no—
823Q8—41no—
824Q8C11×#12112yes—
825D4—22no—
826D4—22no—
827D4—21no—
828D4—22no—
829D4—21no—
830D4—21no—
831D4—21no—
832D4—21no—
833D4—21no—
834D4—21no—
835D4—22no—
836D4—44no—
837D4—44no—
838D4—44no—
839D4—41no—
840D4—41no—
841D4—41no—
842D4—41no—
843D4—41no—
844D4—41no—
845D4—41no—
846D4—41no—
847D4—162no—
848D4C11×#12112yes—
849C2×C4—21no—
850C2×C4—22no—
851C2×C4—22no—
852C2×C4—21no—
853C2×C4—22no—
854C2×C4—21no—
855C2×C4—21no—
856C2×C4—44no—
857C2×C4—44no—
858C2×C4—44no—
859C2×C4—41no—
860C2×C4—41no—
861C2×C4—41no—
862C2×C4—41no—
863C2×C4—41no—
864C2×C4—41no—
865C2×C4—41no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—41no—
869C2×C4—41no—
870C2×C4C22×D4×C1111yescharacteristic
871C2×C4C22×D4×C1111yescharacteristic
872C2×C4C22×D4×C1111yescharacteristic
873C2×C4C22×D4×C1111yescharacteristic
874C2×C4C2×C11×#4111yescharacteristic
875C2×C4C11×H(5,𝔽2)11yescharacteristic
876C8—22no—
877C8—22no—
878C8—41no—
879C8—41no—
880C8—41no—
881C8C11×#12011yescharacteristic
882C8C11×#12011yescharacteristic
883C8C11×#12011yescharacteristic
884C8C11×#12011yescharacteristic
885C22—22no—
886C22—41no—
887C22—42no—
888C22—42no—
889C22—41no—
890C22—42no—
891C22—41no—
892C22—41no—
893C22—82no—
894C22—81no—
895C22—81no—
896C22—82no—
897C22—161no—
898C22—164no—
899C22C11×#53511yescharacteristic
900C22D42×C1111yescharacteristic
901C22C11×#54611yescharacteristic
902C4—22no—
903C4—41no—
904C4—42no—
905C4—41no—
906C4—41no—
907C4—81no—
908C4—81no—
909C4—81no—
910C4C2×C11×#12011yescharacteristic
911C4C2×C11×#12111yescharacteristic
912C4D42×C1111yescharacteristic
913C4C11×#54611yescharacteristic
914C2—21no—
915C2—21no—
916C2—21no—
917C2—42no—
918C2—81no—
919C2—82no—
920C2—81no—
921C2—81no—
922C2C11×#240811yescharacteristic
subgroupG/H
center, socleC2×C11#2408
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C11 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#577C2semidirect
2. C11×#3067C2semidirect
3. C11×#3057C2semidirect
4. C11×#3020C2semidirect
5. C11×#3019C2semidirect
6. C11×#2955C2semidirect
7. C11×#2049C2semidirect
8. C11×#2048C2semidirect
9. C11×#2009C2semidirect
10. C11×#2008C2semidirect
11. C11×#1977C2semidirect
12. C11×#1976C2semidirect
13. C11×#1814C2semidirect
14. C11×#1796C2semidirect
15. C11×#1795C2semidirect
24. C11×#575C22semidirect
34. C2×C11×#131C22semidirect
35. C11×#536C22semidirect
49. C11×#430C22semidirect
50. C2×C11×#108C22semidirect
51. C11×#427C22semidirect
56. C11×#421C22semidirect
57. C11×#421C22semidirect
58. C11×#419C22semidirect
59. C11×#419C22semidirect
63. C11×#413C22semidirect
64. C2×C11×#101C22semidirect
67. C11×#410C22semidirect
68. C11×#405C22semidirect
69. C11×#344C22semidirect
70. C11×#344C22semidirect
125. C2×C11×Q16D4semidirect
136. C2×C11×SD16D4semidirect
137. C2×C11×SD16D4semidirect
139. C2×C11×D8D4semidirect
146. C11×#131D4semidirect
147. C11×#131D4semidirect
194. #24295C11direct (N × H)
340. C2×#577C2×C11semidirect
341. #3067C2×C11semidirect
342. #3057C2×C11semidirect
343. #3020C2×C11semidirect
344. #3019C2×C11semidirect
345. #2955C2×C11semidirect
346. #2049C2×C11semidirect
347. #2048C2×C11semidirect
348. #2009C2×C11semidirect
349. #2008C2×C11semidirect
350. #1977C2×C11semidirect
351. #1976C2×C11semidirect
352. #1814C2×C11semidirect
353. #1796C2×C11semidirect
354. #1795C2×C11semidirect
447. #575C22×C11semidirect
457. C2×#131C22×C11semidirect
458. #536C22×C11semidirect
472. #430C22×C11semidirect
473. C2×#108C22×C11semidirect
474. #427C22×C11semidirect
479. #421C22×C11semidirect
480. #421C22×C11semidirect
481. #419C22×C11semidirect
482. #419C22×C11semidirect
486. #413C22×C11semidirect
487. C2×#101C22×C11semidirect
490. #410C22×C11semidirect
491. #405C22×C11semidirect
492. #344C22×C11semidirect
493. #344C22×C11semidirect
577. C2×Q16D4×C11semidirect
588. C2×SD16D4×C11semidirect
589. C2×SD16D4×C11semidirect
591. C2×D8D4×C11semidirect
598. #131D4×C11semidirect
599. #131D4×C11semidirect
800. C11#24295direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5772
C11×#30672
C11×#30572
C11×#30202
C11×#30192
C11×#29552
C11×#20492
C11×#20482
C11×#20092
C11×#20082
C11×#19772
C11×#19762
C11×#18142
C11×#17962
C11×#17952
#2429511