Finite Group Databasebeta

← D11×#3500 #15662237

Subgroups — D11×#3500 #15662237

Order 2816.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×2−1+4C211yesmaximal, characteristic, complemented
2C2×D11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3#13082410C211yesmaximal, characteristic, complemented
4#13082409C211yesmaximal, characteristic, complemented
5#13082408C213yesmaximal, complemented
6#13082407C214yesmaximal, complemented
7#13082406C213yesmaximal, complemented
8#13082405C213yesmaximal, complemented
9#13082404C211yesmaximal, characteristic, complemented
10#13082403C213yesmaximal, complemented
11#13082402C2112yesmaximal, complemented
12D11×#548C214yesmaximal, complemented
13D11×#546C2112yesmaximal, complemented
14D11×#536C213yesmaximal, complemented
15D11×#535C213yesmaximal, complemented
16D11×#532C213yesmaximal, complemented
17C2×D11×#124C213yesmaximal, complemented
18C4×#41×D11C211yesmaximal, characteristic, complemented
19C11×#3500C211yesmaximal, characteristic, complemented
20C2×C11×2−1+4C2211yescharacteristic, complemented
21C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
22D11×2−1+4—216no—
23D11×H(5,𝔽2)—216no—
24C2×#67043C2213yescomplemented
25C2×#67043C2216yescomplemented
26C2×#67043C2211yescharacteristic, complemented
27C2×#67042C2213yescomplemented
28C2×#67042C2212yescomplemented
29C2×#67042C2211yescharacteristic, complemented
30C2×#41×D11C2213yes—
31C2×#41×D11C2212yes—
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2213yescomplemented
34C2×#41×D11C2216yescomplemented
35C2×#67040C2213yescomplemented
36C2×#67040C2212yescomplemented
37C22×Q8×D11C2213yescomplemented
38C22×Q8×D11C2212yescomplemented
39C2×#67037C2216yescomplemented
40C2×#67037C2213yescomplemented
41C22×D4×D11C2213yes—
42C22×D4×D11C2216yes—
43C11×#548C2214yescomplemented
44C11×#546C22112yescomplemented
45C11×#536C2213yescomplemented
46C11×#535C2213yescomplemented
47C11×#532C2213yescomplemented
48C2×C11×#124C2213yescomplemented
49C4×C11×#41C2211yescharacteristic, complemented
50#10623363C2213yescomplemented
51#10623363C2213yescomplemented
52#10623362C2214yescomplemented
53#10623361C2213yescomplemented
54#10623360C22112yescomplemented
55#41×Dic11C2211yescharacteristic, complemented
56#10623356C2213yescomplemented
57#10623348C2214yescomplemented
58#10623347C2213yescomplemented
59C2×#67000C2213yescomplemented
60#10623337C22112yescomplemented
61#10623336C2213yescomplemented
62C2×#66989C2213yescomplemented
63#10623256C2213yescomplemented
64#10623255C2216yescomplemented
65D11×C4⋊Q8C2213yescomplemented
66#10623247C2213yescomplemented
67#10623246C2216yescomplemented
68D11×#127C2213yescomplemented
69#10623208C22112yescomplemented
70#10623207C22112yescomplemented
71#10623206C2216yescomplemented
72#10623205C2216yescomplemented
73D11×#124C2213yescomplemented
74D11×#124C2216yescomplemented
75D11×#124C22112yescomplemented
76D11×#124C2211yescharacteristic, complemented
77D11×#124C22112yescomplemented
78D11×#124C2216yescomplemented
79D11×#124C2216yescomplemented
80#10623199C2213yescomplemented
81#10623199C2213yescomplemented
82#10623185C22124yescomplemented
83D11×#123C22112yescomplemented
84#10623179C22112yescomplemented
85#10623164C22112yescomplemented
86#10623161C22112yescomplemented
87#10623159C22112yescomplemented
88D11×C22⋊Q8C22112yescomplemented
89#10623143C22112yescomplemented
90#10623141C22124yescomplemented
91#10623138C22112yescomplemented
92D11×#121C22112yescomplemented
93D11×#121C22112yescomplemented
94#10623129C22112yescomplemented
95#10623127C22112yescomplemented
96#10623123C22112yescomplemented
97#10623122C22124yescomplemented
98D11×#120C22112yescomplemented
99#10623107C2214yescomplemented
100C4×#4343C2212yescomplemented
101C4×Q8×D11C2212yescomplemented
102#10623085C22112yescomplemented
103#10623083C22112yescomplemented
104#10623081C22112yescomplemented
105#10623079C22112yescomplemented
106C4×D4×D11C22112yescomplemented
107C4×D4×D11C2216yescomplemented
108C4×#4341C2216yescomplemented
109#10623057C2213yescomplemented
110#10623056C2213yescomplemented
111#10623053C2213yescomplemented
112D11×#117C2213yescomplemented
113C2×#66938C22112yescomplemented
114#10623021C22124yescomplemented
115C2×C22⋊C4×D11C22112yescomplemented
116#10623008C2213yescomplemented
117C2×#66928C2213yescomplemented
118C4×#4339C2213yescomplemented
119C2×C42×D11C2213yescomplemented
120C24×D11C2316yes—
121C11×2−1+4—28no—
122C11×H(5,𝔽2)—28no—
123C2×C11×#41C2313yes—
124C2×C11×#41C2312yes—
125C2×C11×#41C2311yescharacteristic
126C2×C11×#41C2316yescomplemented
127C2×C11×#41C2313yescomplemented
128C22×Q8×C11C2313yescomplemented
129C22×Q8×C11C2312yescomplemented
130C22×D4×C11C2313yes—
131C22×D4×C11C2316yes—
132C22×C22⋊D11C23112yes—
133C22×C22⋊D11C2316yes—
134#67043—28no—
135#67043—248no—
136#67043—224no—
137#67042—28no—
138#67042—216no—
139#67042—224no—
140#41×D11—216no—
141#41×D11—248no—
142#41×D11—224no—
143#41×D11—224no—
144#41×D11D4116yescomplemented
145#67040—216no—
146#67040—224no—
147C2×#4343C2313yes—
148C2×#4343C2312yes—
149C2×#4343C2311yescharacteristic
150C2×#4343C2313yescomplemented
151C2×#4343C2316yescomplemented
152C2×Q8×D11—216no—
153C2×Q8×D11—224no—
154C2×Q8×D11C2311yescharacteristic
155C2×Q8×D11C2313yes—
156C2×Q8×D11C2316yes—
157C2×Q8×D11C2311yescharacteristic
158C2×Q8×D11C2316yescomplemented
159C2×Q8×D11C2312yescomplemented
160C2×Q8×D11C2316yescomplemented
161C2×Q8×D11C2316yescomplemented
162#67037—248no—
163#67037—224no—
164C2×#4341C2313yes—
165C2×#4341C2316yes—
166C2×#4341C2316yes—
167C2×#4341C2313yes—
168C2×#4341C2313yescomplemented
169C2×#4341C2316yescomplemented
170C2×#4341C23112yescomplemented
171C2×#4341C2316yescomplemented
172C2×D4×D11—248no—
173C2×D4×D11—224no—
174C2×D4×D11C2311yescharacteristic
175C2×D4×D11C2313yes—
176C2×D4×D11C2316yes—
177C2×D4×D11C2316yes—
178C2×D4×D11C2316yes—
179C2×D4×D11C2316yes—
180C2×D4×D11C2316yes—
181C2×D4×D11C2316yes—
182C2×D4×D11C23112yes—
183C2×D4×D11C2316yes—
184C2×D4×D11C23112yes—
185C2×D4×D11C2313yes—
186C2×#4339C2313yes—
187C2×#4339C2316yes—
188C2×#4339C2316yes—
189C2×#4339C2313yes—
190C2×#4339C2313yescomplemented
191C2×#4339C23112yescomplemented
192C2×#4339C2316yescomplemented
193C2×#4339C2316yescomplemented
194C22×D44C2313yes—
195C22×D44C2316yes—
196C22×C4×D11C2316yes—
197C22×C4×D11C2316yes—
198C22×C4×D11C2316yes—
199C22×C4×D11C2316yes—
200C22×C4×D11C2313yes—
201C22×Dic22C2313yescomplemented
202C22×Dic22C2316yescomplemented
203C22×Dic22C2316yescomplemented
204C11×C4⋊Q8C2313yescomplemented
205C11×#127C2313yescomplemented
206C11×#124C2313yescomplemented
207C11×#124C2316yescomplemented
208C11×#124C23112yescomplemented
209C11×#124C2311yescharacteristic, complemented
210C11×#123C23112yescomplemented
211C11×C22⋊Q8C23112yescomplemented
212C11×#121C23112yescomplemented
213C11×#121C23112yescomplemented
214C11×#120C23112yescomplemented
215C4×Q8×C11C2312yescomplemented
216C4×D4×C11C2316yescomplemented
217C4×D4×C11C23112yescomplemented
218C11×#117C2313yescomplemented
219C2×C11×C22⋊C4C23112yescomplemented
220C2×C42×C11C2313yescomplemented
221#67006C23112yescomplemented
222C2×C22⋊Dic11C23112yescomplemented
223#67000C2316yescomplemented
224#67000C2311yescharacteristic, complemented
225#67000C2313yescomplemented
226#67000C23112yescomplemented
227#66999C23112yescomplemented
228Q8×Dic11C2312yescomplemented
229#66997C2313yescomplemented
230#66997C2313yescomplemented
231#66993C2313yescomplemented
232#66993C23112yescomplemented
233#66993C2313yescomplemented
234#66992C23124yescomplemented
235#66992C23112yescomplemented
236#66992C23112yescomplemented
237#66991C23112yescomplemented
238#66991C23112yescomplemented
239#66990C23124yescomplemented
240#66990C23112yescomplemented
241#66989C2316yescomplemented
242#66989C2311yescharacteristic, complemented
243#66989C2313yescomplemented
244#66989C23112yescomplemented
245#66988C23112yescomplemented
246D4×Dic11C23112yescomplemented
247D4×Dic11C2316yescomplemented
248#66983C23112yescomplemented
249#66983C23112yescomplemented
250#66982C23112yescomplemented
251C4×C22⋊D11C23112yescomplemented
252C4×C22⋊D11C23112yescomplemented
253C4×C22⋊D11C23112yescomplemented
254C2×(C2×D11)⋊C4C23112yescomplemented
255C2×(C2×D11)⋊C4C23112yescomplemented
256#66979C2313yescomplemented
257#66977C23112yescomplemented
258C2×C4×Dic11C2316yescomplemented
259C2×C4×Dic11C2313yescomplemented
260#66950C23112yescomplemented
261#66949C23124yescomplemented
262#66948C23112yescomplemented
263#66948C23112yescomplemented
264#66947C23124yescomplemented
265#66946C23112yescomplemented
266#66946C2316yescomplemented
267#66945C2316yescomplemented
268C4⋊C4×D11C23112yes—
269C4⋊C4×D11C2316yes—
270#66941C23112yescomplemented
271#66940C2316yescomplemented
272#66939C23112yescomplemented
273#66938C23124yescomplemented
274#66938C23112yescomplemented
275#66938C23124yescomplemented
276#66938C23124yescomplemented
277#66938C2314yescomplemented
278#66937C23112yescomplemented
279#66937C23124yescomplemented
280#66937C23112yescomplemented
281#66936C23124yescomplemented
282#66935C23124yescomplemented
283#66935C23112yescomplemented
284(C22⋊D11)⋊C4C23112yescomplemented
285(C22⋊D11)⋊C4C23112yescomplemented
286(C22⋊D11)⋊C4C23112yescomplemented
287C22⋊C4×D11C23112yes—
288C22⋊C4×D11C23124yes—
289C22⋊C4×D11C2316yes—
290C22⋊C4×D11C2314yes—
291C22⋊C4×D11C23124yescomplemented
292C22⋊C4×D11C23124yescomplemented
293#66931C23124yescomplemented
294#66930C2316yescomplemented
295#66928C2316yescomplemented
296#66928C2313yescomplemented
297#66928C23112yescomplemented
298#66928C2311yescharacteristic, complemented
299#66927C2313yescomplemented
300C4×D44C2316yescomplemented
301C4×D44C23112yescomplemented
302#66925C2316yescomplemented
303C42×D11C2313yes—
304C42×D11C2311yescharacteristic
305C42×D11C2316yes—
306C42×D11C2313yescomplemented
307C42×D11C2313yescomplemented
308C42×D11C2316yescomplemented
309#66922C2313yescomplemented
310C4×Dic22C2316yescomplemented
311C2×#3500—111nomaximal, Sylow
312C24×C11C2416yes—
313C23×D11—224no—
314C23×D11—424no—
315C23×D11C2416yes—
316C23×D11C2412yes—
317C23×D11C2413yes—
318C23×D11C24112yes—
319C23×D11C2416yes—
320C11×#41—28no—
321C11×#41—224no—
322C11×#41—212no—
323C11×#41—212no—
324C11×#41C2×D418yescomplemented
325C2×Q8×C11—28no—
326C2×Q8×C11—212no—
327C2×Q8×C11C2411yescharacteristic
328C2×Q8×C11C2413yes—
329C2×Q8×C11C2416yes—
330C2×Q8×C11C2411yescharacteristic
331C2×D4×C11—224no—
332C2×D4×C11—212no—
333C2×D4×C11C2416yes—
334C2×D4×C11C2413yes—
335C2×D4×C11C2416yes—
336C2×D4×C11C2411yescharacteristic
337C2×D4×C11C2416yes—
338C2×D4×C11C24112yes—
339C2×D4×C11C2413yes—
340C22×C4×C11C2416yes—
341C22×C4×C11C2416yes—
342C22×C4×C11C2416yes—
343C22×C4×C11C2416yes—
344C22×C4×C11C2413yes—
345C2×C22⋊D11—248no—
346C2×C22⋊D11—224no—
347C2×C22⋊D11C2416yes—
348C2×C22⋊D11C2416yes—
349C2×C22⋊D11C24112yes—
350C2×C22⋊D11C2416yes—
351C2×C22⋊D11C2416yes—
352C2×C22⋊D11C2412yes—
353C2×C22⋊D11C2416yes—
354C2×C22⋊D11C24112yes—
355C2×C22⋊D11C24112yes—
356C2×C22⋊D11C2416yes—
357C22×Dic11C2416yes—
358C22×Dic11C2416yes—
359C22×Dic11C2416yes—
360C22×Dic11C2416yes—
361C22×Dic11C2413yes—
362#4343—224no—
363#4343—212no—
364#4343—212no—
365#4343—28no—
366#4343C2×D418yescomplemented
367Q8×D11—224no—
368Q8×D11—212no—
369Q8×D11—224no—
370Q8×D11—224no—
371Q8×D11—24no—
372Q8×D11—224no—
373Q8×D11—28no—
374Q8×D11C2×D418yes—
375#4341—248no—
376#4341—224no—
377#4341—224no—
378#4341—212no—
379#4341—212no—
380#4341—224no—
381#4341—224no—
382#4341C2×D4124yescomplemented
383D4×D11—248no—
384D4×D11—224no—
385D4×D11—224no—
386D4×D11—212no—
387D4×D11—224no—
388D4×D11—224no—
389D4×D11—24no—
390D4×D11—224no—
391D4×D11—224no—
392D4×D11—224no—
393D4×D11—424no—
394D4×D11C2×D4124yes—
395#4339—248no—
396#4339—224no—
397#4339—224no—
398#4339—224no—
399#4339—224no—
400#4339—212no—
401#4339—212no—
402#4339C2×D4124yescomplemented
403C2×D44—224no—
404C2×D44—212no—
405C2×D44C2411yescharacteristic
406C2×D44C2413yes—
407C2×D44C2416yes—
408C2×D44C2416yes—
409C2×D44C2416yes—
410C2×D44C24112yes—
411C2×D44C2413yes—
412C2×C4×D11—224no—
413C2×C4×D11—224no—
414C2×C4×D11—224no—
415C2×C4×D11—412no—
416C2×C4×D11C2×D4124yes—
417C2×C4×D11C2412yes—
418C2×C4×D11C2416yes—
419C2×C4×D11C2416yes—
420C2×C4×D11C2416yes—
421C2×C4×D11C2416yes—
422C2×C4×D11C2412yes—
423C2×C4×D11C24112yes—
424C2×C4×D11C2416yes—
425C2×C4×D11C2416yes—
426C2×C4×D11C2416yes—
427C2×C4×D11C2416yes—
428C2×C4×D11C2411yescharacteristic
429C2×C4×D11C2413yes—
430C2×C4×D11C2413yes—
431C2×C4×D11C2413yes—
432C2×Dic22—224no—
433C2×Dic22—224no—
434C2×Dic22—212no—
435C2×Dic22C2411yescharacteristic
436C2×Dic22C2413yes—
437C2×Dic22C2416yes—
438C2×Dic22C24112yes—
439C2×Dic22C2416yes—
440C2×Dic22C2412yes—
441C2×Dic22C2413yes—
442C11×C4⋊C4C2416yes—
443C11×C4⋊C4C24112yes—
444C11×C22⋊C4C2416yes—
445C11×C22⋊C4C24124yes—
446C11×C22⋊C4C24112yes—
447C11×C22⋊C4C2414yes—
448C42×C11C2416yes—
449C42×C11C2413yes—
450C42×C11C2411yescharacteristic
451C22⋊Dic11C2416yes—
452C22⋊Dic11C24124yes—
453C22⋊Dic11C24112yes—
454C22⋊Dic11C2414yes—
455(C2×D11)⋊C4C24112yes—
456(C2×D11)⋊C4C2414yes—
457(C2×D11)⋊C4C24112yes—
458(C2×D11)⋊C4C24124yes—
459(C2×D11)⋊C4C24112yes—
460(C2×D11)⋊C4C24124yes—
461(C2×D11)⋊C4C2414yes—
462C4⋊Dic11C2416yes—
463C4⋊Dic11C24112yes—
464Dic11⋊C4C24112yes—
465Dic11⋊C4C24112yes—
466Dic11⋊C4C24112yes—
467C4×Dic11C2416yes—
468C4×Dic11C2412yes—
469C4×Dic11C2411yescharacteristic
470C4×Dic11C2413yes—
471C4×Dic11C2416yes—
472C4×Dic11C2416yes—
473C4×Dic11C2416yes—
474C22×2−1+4—111no—
475C22×H(5,𝔽2)—111no—
476#3500—111no—
477#3500—111no—
478#3500—114no—
479#3500—1112no—
480#3500—113no—
481#3500—113no—
482#3500—113no—
483#3500—113no—
484#3500—111no—
485#3500D1111yescharacteristic, direct product factor
486C2×#548—114no—
487C2×#546—1112no—
488C2×#536—113no—
489C2×#535—113no—
490C2×#532—113no—
491C22×#124—113no—
492C2×C4×#41—111no—
493C23×C11—212no—
494C23×C11—412no—
495C23×C11C2516yes—
496C23×C11C2512yes—
497C23×C11C2513yes—
498C22×D11—212no—
499C22×D11—212no—
500C22×D11—24no—
501C22×D11—212no—
502C22×D11—28no—
503C22×D11—224no—
504C22×D11—224no—
505C22×D11—424no—
506C22×D11—412no—
507C22×D11—848no—
508C22×D11C22×D4112yes—
509C22×D11C2516yes—
510C22×D11C2512yes—
511C22×D11C2513yes—
512C22×D11C2511yescharacteristic
513Q8×C11—212no—
514Q8×C11—26no—
515Q8×C11—22no—
516Q8×C11C22×D414yes—
517D4×C11—212no—
518D4×C11—212no—
519D4×C11—212no—
520D4×C11—26no—
521D4×C11—22no—
522D4×C11—412no—
523D4×C11C22×D4112yes—
524C2×C4×C11—212no—
525C2×C4×C11—212no—
526C2×C4×C11—212no—
527C2×C4×C11—46no—
528C2×C4×C11C22×D4112yes—
529C2×C4×C11C2512yes—
530C2×C4×C11C2516yes—
531C2×C4×C11C2512yes—
532C2×C4×C11C2516yes—
533C2×C4×C11C2511yescharacteristic
534C2×C4×C11C2513yes—
535C22⋊D11—212no—
536C22⋊D11—212no—
537C22⋊D11—212no—
538C22⋊D11—212no—
539C22⋊D11—24no—
540C22⋊D11—212no—
541C22⋊D11—224no—
542C22⋊D11—412no—
543C22⋊D11—412no—
544C22⋊D11C22×D4124yes—
545C2×Dic11—212no—
546C2×Dic11—212no—
547C2×Dic11—212no—
548C2×Dic11—46no—
549C2×Dic11C22×D4112yes—
550C2×Dic11C2512yes—
551C2×Dic11C2516yes—
552C2×Dic11C2512yes—
553C2×Dic11C2516yes—
554C2×Dic11C2511yescharacteristic
555C2×Dic11C2513yes—
556D44—212no—
557D44—212no—
558D44—212no—
559D44—26no—
560D44—22no—
561D44—412no—
562D44C22×D4112yes—
563C4×D11—24no—
564C4×D11—212no—
565C4×D11—224no—
566C4×D11—24no—
567C4×D11—212no—
568C4×D11—212no—
569C4×D11—212no—
570C4×D11—212no—
571C4×D11—212no—
572C4×D11—46no—
573C4×D11—46no—
574C4×D11C22×D4112yes—
575C4×D11C22×D414yes—
576C4×D11C22×D4112yes—
577C4×D11C22×D4112yes—
578Dic22—212no—
579Dic22—26no—
580Dic22—22no—
581Dic22—212no—
582Dic22—224no—
583Dic22—24no—
584Dic22C22×D4112yes—
585C2×2−1+4—111no—
586C2×2−1+4—113no—
587C2×2−1+4—116no—
588C2×2−1+4—112no—
589C2×2−1+4—113no—
590C2×2−1+4—2216no—
591C2×2−1+4C2×D1111yescharacteristic, complemented
592C2×H(5,𝔽2)—112no—
593C2×H(5,𝔽2)—113no—
594C2×H(5,𝔽2)—111no—
595C2×H(5,𝔽2)—116no—
596C2×H(5,𝔽2)—113no—
597C2×H(5,𝔽2)—2216no—
598C2×H(5,𝔽2)C2×D1111yescharacteristic, complemented
599C22×#41—111no—
600C22×#41—113no—
601C22×#41—112no—
602C22×#41—113no—
603C22×#41—116no—
604C23×Q8—113no—
605C23×Q8—112no—
606C23×D4—113no—
607C23×D4—116no—
608#548—114no—
609#548—114no—
610#548—1112no—
611#548—1112no—
612#548—1112no—
613#548—114no—
614#548—1112no—
615#548C2×D1114yescomplemented
616#546—1112no—
617#546—1112no—
618#546—1112no—
619#546—1124no—
620#546—1112no—
621#546—1124no—
622#546—1112no—
623#546—1124no—
624#546—1112no—
625#546—1112no—
626#546—1124no—
627#546C2×D11112yescomplemented
628#536—113no—
629#536—113no—
630#536—116no—
631#536—116no—
632#536—1112no—
633#536—1112no—
634#536—113no—
635#536C2×D1113yescomplemented
636#535—113no—
637#535—113no—
638#535—116no—
639#535—116no—
640#535—1112no—
641#535—1112no—
642#535—113no—
643#535C2×D1113yescomplemented
644#532—113no—
645#532—113no—
646#532—113no—
647#532—113no—
648#532—113no—
649#532—113no—
650#532—1112no—
651#532—1112no—
652#532—113no—
653#532C2×D1113yescomplemented
654C2×C4⋊Q8—113no—
655C2×#127—113no—
656C2×#124—113no—
657C2×#124—113no—
658C2×#124—113no—
659C2×#124—116no—
660C2×#124—1112no—
661C2×#124—116no—
662C2×#124—116no—
663C2×#124—1112no—
664C2×#124—111no—
665C2×#124—1112no—
666C2×#124—113no—
667C2×#124C2×D1113yescomplemented
668C2×#123—1112no—
669C2×C22⋊Q8—1112no—
670C2×#121—1112no—
671C2×#121—1112no—
672C2×#120—1112no—
673C4×#41—111no—
674C4×#41—112no—
675C4×#41—116no—
676C4×#41—113no—
677C4×#41—113no—
678C4×#41C2×D1111yescharacteristic, complemented
679C2×C4×Q8—112no—
680C2×C4×D4—116no—
681C2×C4×D4—1112no—
682C2×#117—113no—
683C22×C22⋊C4—1112no—
684C22×C42—113no—
685C22×C11—26no—
686C22×C11—22no—
687C22×C11—26no—
688C22×C11—24no—
689C22×C11—212no—
690C22×C11—812no—
691C22×C11C23×D416yes—
692C22×C11C2611yescharacteristic
693C2×D11—26no—
694C2×D11—224no—
695C2×D11—26no—
696C2×D11—22no—
697C2×D11—212no—
698C2×D11—24no—
699C2×D11—48no—
700C2×D11—424no—
701C2×D11—824no—
702C2×D11—812no—
703C2×D11C23×D416yes—
704C2×D11C23×D412yes—
705C2×D11#58514yes—
706C4×C11—22no—
707C4×C11—26no—
708C4×C11—22no—
709C4×C11—26no—
710C4×C11C23×D416yes—
711C4×C11C23×D412yes—
712Dic11—26no—
713Dic11—22no—
714Dic11—22no—
715Dic11—26no—
716Dic11C23×D412yes—
717Dic11C23×D416yes—
718C25—116no—
7192−1+4—28no—
7202−1+4—2216no—
7212−1+4—2224no—
7222−1+4—2248no—
7232−1+4—2224no—
7242−1+4—228no—
725H(5,𝔽2)—28no—
726H(5,𝔽2)—2248no—
727H(5,𝔽2)—2224no—
728H(5,𝔽2)—2216no—
729H(5,𝔽2)—2224no—
730H(5,𝔽2)—228no—
731C2×#41—1116no—
732C2×#41—111no—
733C2×#41—113no—
734C2×#41—113no—
735C2×#41—116no—
736C2×#41—112no—
737C2×#41—113no—
738C2×#41—116no—
739C2×#41—113no—
740C2×#41—116no—
741C2×#41—113no—
742C2×#41—116no—
743C2×#41—1112no—
744C2×#41—116no—
745C2×#41—113no—
746C2×#41—116no—
747C2×#41—113no—
748C2×#41—116no—
749C2×#41—113no—
750C2×#41—116no—
751C2×#41—1112no—
752C2×#41—116no—
753C2×#41—2224no—
754C2×#41—2224no—
755C2×#41—2248no—
756C2×#41—2216no—
757C2×#41C22×D1113yes—
758C2×#41C22×D1112yes—
759C2×#41C22×D1111yescharacteristic
760C2×#41C22×D1113yescomplemented
761C2×#41C22×D1116yescomplemented
762C22×Q8—111no—
763C22×Q8—116no—
764C22×Q8—113no—
765C22×Q8—116no—
766C22×Q8—116no—
767C22×Q8—111no—
768C22×Q8—116no—
769C22×Q8—112no—
770C22×Q8—116no—
771C22×Q8—113no—
772C22×Q8—116no—
773C22×Q8—2224no—
774C22×Q8—2216no—
775C22×Q8C22×D1113yescomplemented
776C22×Q8C22×D1112yescomplemented
777C22×D4—113no—
778C22×D4—116no—
779C22×D4—1112no—
780C22×D4—116no—
781C22×D4—116no—
782C22×D4—116no—
783C22×D4—113no—
784C22×D4—116no—
785C22×D4—116no—
786C22×D4—111no—
787C22×D4—1112no—
788C22×D4—116no—
789C22×D4—116no—
790C22×D4—1112no—
791C22×D4—113no—
792C22×D4—116no—
793C22×D4—2224no—
794C22×D4—2248no—
795C22×D4C22×D1113yes—
796C22×D4C22×D1116yes—
797C23×C4—113no—
798C23×C4—116no—
799C23×C4—116no—
800C23×C4—116no—
801C23×C4—116no—
802C4⋊Q8—113no—
803C4⋊Q8—113no—
804C4⋊Q8—1112no—
805C4⋊Q8—113no—
806C4⋊Q8C22×D1113yescomplemented
807#127—1112no—
808#127—113no—
809#127—113no—
810#127—113no—
811#127C22×D1113yescomplemented
812#124—113no—
813#124—116no—
814#124—1112no—
815#124—111no—
816#124—113no—
817#124—116no—
818#124—1112no—
819#124—111no—
820#124—1112no—
821#124—1124no—
822#124—1124no—
823#124—1124no—
824#124—114no—
825#124—113no—
826#124—116no—
827#124—1112no—
828#124—111no—
829#124C22×D1113yescomplemented
830#124C22×D1116yescomplemented
831#124C22×D11112yescomplemented
832#124C22×D1111yescharacteristic, complemented
833#123—1112no—
834#123—1112no—
835#123—1124no—
836#123—1124no—
837#123—1112no—
838#123C22×D11112yescomplemented
839C22⋊Q8—1112no—
840C22⋊Q8—1112no—
841C22⋊Q8—1124no—
842C22⋊Q8—1112no—
843C22⋊Q8—1124no—
844C22⋊Q8C22×D11112yescomplemented
845#121—1112no—
846#121—1112no—
847#121—1112no—
848#121—1112no—
849#121—1124no—
850#121—1112no—
851#121—1112no—
852#121—1112no—
853#121—1112no—
854#121—1112no—
855#121—1112no—
856#121—1124no—
857#121C22×D11112yescomplemented
858#121C22×D11112yescomplemented
859#120—1112no—
860#120—1124no—
861#120—1112no—
862#120—1112no—
863#120—1124no—
864#120C22×D11112yescomplemented
865C4×Q8—112no—
866C4×Q8—116no—
867C4×Q8—116no—
868C4×Q8C22×D1112yescomplemented
869C4×D4—116no—
870C4×D4—1112no—
871C4×D4—1112no—
872C4×D4—1112no—
873C4×D4—1112no—
874C4×D4—116no—
875C4×D4—1112no—
876C4×D4—1112no—
877C4×D4—1112no—
878C4×D4—1112no—
879C4×D4—116no—
880C4×D4—1112no—
881C4×D4C22×D1116yescomplemented
882C4×D4C22×D11112yescomplemented
883#117—113no—
884#117—116no—
885#117—116no—
886#117—116no—
887#117C22×D1113yescomplemented
888C2×C4⋊C4—116no—
889C2×C4⋊C4—1112no—
890C2×C22⋊C4—1112no—
891C2×C22⋊C4—1112no—
892C2×C22⋊C4—1112no—
893C2×C22⋊C4—1112no—
894C2×C22⋊C4—1124no—
895C2×C22⋊C4—1124no—
896C2×C22⋊C4—1124no—
897C2×C22⋊C4—116no—
898C2×C22⋊C4—114no—
899C2×C22⋊C4C22×D11112yescomplemented
900C2×C42—116no—
901C2×C42—113no—
902C2×C42—113no—
903C2×C42—116no—
904C2×C42—116no—
905C2×C42—113no—
906C2×C42—113no—
907C2×C42—111no—
908C2×C42C22×D1113yescomplemented
909C2×C11—26no—
910C2×C11—46no—
911C2×C11—42no—
912C2×C11C24×D411yescharacteristic
913C2×C11C2×#58512yes—
914D11—26no—
915D11—42no—
916D11—46no—
917D11#350014yesdirect product factor
918C24—113no—
919C24—116no—
920C24—112no—
921C24—1112no—
922C24—116no—
923C24—2224no—
924C24—4424no—
925C24C23×D1116yes—
926#41—28no—
927#41—224no—
928#41—212no—
929#41—212no—
930#41—118no—
931#41—1124no—
932#41—1124no—
933#41—2224no—
934#41—2224no—
935#41—2248no—
936#41—2224no—
937#41—2224no—
938#41—2224no—
939#41—2212no—
940#41—2224no—
941#41—2212no—
942#41—2212no—
943#41—2212no—
944#41—2248no—
945#41—2224no—
946#41—2224no—
947#41—228no—
948#41—2224no—
949#41—2212no—
950#41—2212no—
951#41D4×D1118yescomplemented
952C2×Q8—28no—
953C2×Q8—212no—
954C2×Q8—118no—
955C2×Q8—113no—
956C2×Q8—1112no—
957C2×Q8—116no—
958C2×Q8—116no—
959C2×Q8—113no—
960C2×Q8—112no—
961C2×Q8—111no—
962C2×Q8—2224no—
963C2×Q8—2224no—
964C2×Q8—2212no—
965C2×Q8—2224no—
966C2×Q8—2224no—
967C2×Q8—2224no—
968C2×Q8—224no—
969C2×Q8—2224no—
970C2×Q8—228no—
971C2×Q8—2212no—
972C2×Q8C23×D1116yes—
973C2×Q8C23×D1113yes—
974C2×Q8C23×D1111yescharacteristic
975C2×Q8C23×D1111yescharacteristic
976C2×D4—224no—
977C2×D4—212no—
978C2×D4—116no—
979C2×D4—1124no—
980C2×D4—116no—
981C2×D4—116no—
982C2×D4—116no—
983C2×D4—116no—
984C2×D4—1112no—
985C2×D4—116no—
986C2×D4—112no—
987C2×D4—1112no—
988C2×D4—1112no—
989C2×D4—113no—
990C2×D4—116no—
991C2×D4—116no—
992C2×D4—116no—
993C2×D4—113no—
994C2×D4—111no—
995C2×D4—1112no—
996C2×D4—2224no—
997C2×D4—2212no—
998C2×D4—2224no—
999C2×D4—2224no—
1000C2×D4—2224no—
1001C2×D4—224no—
1002C2×D4—2224no—
1003C2×D4—2248no—
1004C2×D4—2224no—
1005C2×D4—2224no—
1006C2×D4—2224no—
1007C2×D4—2248no—
1008C2×D4—2224no—
1009C2×D4—2212no—
1010C2×D4—4424no—
1011C2×D4C23×D1116yes—
1012C2×D4C23×D1116yes—
1013C2×D4C23×D1116yes—
1014C2×D4C23×D1113yes—
1015C2×D4C23×D1111yescharacteristic
1016C2×D4C23×D11112yes—
1017C2×D4C23×D1113yes—
1018C22×C4—113no—
1019C22×C4—1124no—
1020C22×C4—111no—
1021C22×C4—113no—
1022C22×C4—113no—
1023C22×C4—113no—
1024C22×C4—116no—
1025C22×C4—116no—
1026C22×C4—116no—
1027C22×C4—116no—
1028C22×C4—112no—
1029C22×C4—116no—
1030C22×C4—116no—
1031C22×C4—1112no—
1032C22×C4—112no—
1033C22×C4—116no—
1034C22×C4—116no—
1035C22×C4—116no—
1036C22×C4—116no—
1037C22×C4—116no—
1038C22×C4—116no—
1039C22×C4—2224no—
1040C22×C4—2224no—
1041C22×C4—2224no—
1042C22×C4—4412no—
1043C22×C4C23×D1116yes—
1044C22×C4C23×D1116yes—
1045C22×C4C23×D1116yes—
1046C22×C4C23×D1116yes—
1047C22×C4C23×D1113yes—
1048C4⋊C4—1112no—
1049C4⋊C4—116no—
1050C4⋊C4—1112no—
1051C4⋊C4—1112no—
1052C4⋊C4—1112no—
1053C4⋊C4C23×D1116yes—
1054C4⋊C4C23×D11112yes—
1055C22⋊C4—1112no—
1056C22⋊C4—1124no—
1057C22⋊C4—116no—
1058C22⋊C4—114no—
1059C22⋊C4—1112no—
1060C22⋊C4—1112no—
1061C22⋊C4—1124no—
1062C22⋊C4—1124no—
1063C22⋊C4—1112no—
1064C22⋊C4—114no—
1065C22⋊C4—114no—
1066C22⋊C4C23×D11112yes—
1067C22⋊C4C23×D11124yes—
1068C22⋊C4C23×D1116yes—
1069C22⋊C4C23×D1114yes—
1070C42—112no—
1071C42—111no—
1072C42—116no—
1073C42—113no—
1074C42—116no—
1075C42—116no—
1076C42—116no—
1077C42C23×D1111yescharacteristic
1078C42C23×D1113yes—
1079C42C23×D1116yes—
1080C11C2×#350011yescharacteristic, complemented, Sylow
1081C23—212no—
1082C23—412no—
1083C23—111no—
1084C23—1112no—
1085C23—113no—
1086C23—116no—
1087C23—112no—
1088C23—2212no—
1089C23—224no—
1090C23—2212no—
1091C23—228no—
1092C23—2224no—
1093C23—2224no—
1094C23—2212no—
1095C23—4412no—
1096C23—4424no—
1097C23—8848no—
1098C23C24×D1116yes—
1099C23C24×D1112yes—
1100C23C24×D1113yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—1112no—
1105Q8—2212no—
1106Q8—2224no—
1107Q8—224no—
1108Q8—2212no—
1109Q8—226no—
1110Q8—222no—
1111Q8C2×D4×D1114yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—1124no—
1119D4—1112no—
1120D4—2212no—
1121D4—2212no—
1122D4—2212no—
1123D4—2224no—
1124D4—224no—
1125D4—2212no—
1126D4—2212no—
1127D4—2212no—
1128D4—2212no—
1129D4—2212no—
1130D4—226no—
1131D4—222no—
1132D4—4412no—
1133D4—4412no—
1134D4—4412no—
1135D4C2×D4×D11112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—1112no—
1141C2×C4—111no—
1142C2×C4—113no—
1143C2×C4—114no—
1144C2×C4—1112no—
1145C2×C4—1112no—
1146C2×C4—1112no—
1147C2×C4—112no—
1148C2×C4—116no—
1149C2×C4—116no—
1150C2×C4—112no—
1151C2×C4—2212no—
1152C2×C4—2212no—
1153C2×C4—224no—
1154C2×C4—2212no—
1155C2×C4—2224no—
1156C2×C4—224no—
1157C2×C4—2212no—
1158C2×C4—2212no—
1159C2×C4—2212no—
1160C2×C4—2212no—
1161C2×C4—2212no—
1162C2×C4—2212no—
1163C2×C4—446no—
1164C2×C4—446no—
1165C2×C4—446no—
1166C2×C4C2×D4×D11112yes—
1167C2×C4C24×D1112yes—
1168C2×C4C24×D1116yes—
1169C2×C4C24×D1116yes—
1170C2×C4C24×D1112yes—
1171C2×C4C24×D1111yescharacteristic
1172C2×C4C24×D1113yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—112no—
1180C22—114no—
1181C22—116no—
1182C22—2224no—
1183C22—226no—
1184C22—222no—
1185C22—226no—
1186C22—224no—
1187C22—2212no—
1188C22—4424no—
1189C22—448no—
1190C22—8812no—
1191C22—8824no—
1192C22C22×D4×D1116yes—
1193C22C25×D1111yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—112no—
1199C4—116no—
1200C4—222no—
1201C4—226no—
1202C4—222no—
1203C4—226no—
1204C4C22×D4×D1116yes—
1205C4C22×D4×D1112yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—114no—
1210C2—226no—
1211C2—446no—
1212C2—442no—
1213C2C23×D4×D1111yescharacteristic
1214C2D11×#58512yes—
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3500C2
hypercenter#3500D11
hypocenterC11C2×#3500
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×D11×2−1+4C2semidirect
2. C2×D11×H(5,𝔽2)C2semidirect
3. #13082410C2semidirect
4. #13082409C2semidirect
5. #13082408C2semidirect
6. #13082407C2semidirect
7. #13082406C2semidirect
8. #13082405C2semidirect
9. #13082404C2semidirect
10. #13082403C2semidirect
11. #13082402C2semidirect
12. D11×#548C2semidirect
13. D11×#546C2semidirect
14. D11×#536C2semidirect
15. D11×#535C2semidirect
16. D11×#532C2semidirect
17. C2×D11×#124C2semidirect
18. C4×#41×D11C2semidirect
19. C11×#3500C2semidirect
20. C2×C11×2−1+4C22semidirect
21. C2×C11×H(5,𝔽2)C22semidirect
24. C2×#67043C22semidirect
25. C2×#67043C22semidirect
26. C2×#67043C22semidirect
27. C2×#67042C22semidirect
28. C2×#67042C22semidirect
29. C2×#67042C22semidirect
33. C2×#41×D11C22semidirect
34. C2×#41×D11C22semidirect
35. C2×#67040C22semidirect
36. C2×#67040C22semidirect
37. C22×Q8×D11C22semidirect
38. C22×Q8×D11C22semidirect
39. C2×#67037C22semidirect
40. C2×#67037C22semidirect
43. C11×#548C22semidirect
44. C11×#546C22semidirect
45. C11×#536C22semidirect
46. C11×#535C22semidirect
47. C11×#532C22semidirect
48. C2×C11×#124C22semidirect
49. C4×C11×#41C22semidirect
50. #10623363C22semidirect
51. #10623363C22semidirect
52. #10623362C22semidirect
53. #10623361C22semidirect
54. #10623360C22semidirect
55. #41×Dic11C22semidirect
56. #10623356C22semidirect
57. #10623348C22semidirect
58. #10623347C22semidirect
59. C2×#67000C22semidirect
60. #10623337C22semidirect
61. #10623336C22semidirect
62. C2×#66989C22semidirect
63. #10623256C22semidirect
64. #10623255C22semidirect
65. D11×C4⋊Q8C22semidirect
66. #10623247C22semidirect
67. #10623246C22semidirect
68. D11×#127C22semidirect
69. #10623208C22semidirect
70. #10623207C22semidirect
71. #10623206C22semidirect
72. #10623205C22semidirect
73. D11×#124C22semidirect
74. D11×#124C22semidirect
75. D11×#124C22semidirect
76. D11×#124C22semidirect
77. D11×#124C22semidirect
78. D11×#124C22semidirect
79. D11×#124C22semidirect
80. #10623199C22semidirect
81. #10623199C22semidirect
82. #10623185C22semidirect
83. D11×#123C22semidirect
84. #10623179C22semidirect
85. #10623164C22semidirect
86. #10623161C22semidirect
87. #10623159C22semidirect
88. D11×C22⋊Q8C22semidirect
89. #10623143C22semidirect
90. #10623141C22semidirect
91. #10623138C22semidirect
92. D11×#121C22semidirect
93. D11×#121C22semidirect
94. #10623129C22semidirect
95. #10623127C22semidirect
96. #10623123C22semidirect
97. #10623122C22semidirect
98. D11×#120C22semidirect
99. #10623107C22semidirect
100. C4×#4343C22semidirect
101. C4×Q8×D11C22semidirect
102. #10623085C22semidirect
103. #10623083C22semidirect
104. #10623081C22semidirect
105. #10623079C22semidirect
106. C4×D4×D11C22semidirect
107. C4×D4×D11C22semidirect
108. C4×#4341C22semidirect
109. #10623057C22semidirect
110. #10623056C22semidirect
111. #10623053C22semidirect
112. D11×#117C22semidirect
113. C2×#66938C22semidirect
114. #10623021C22semidirect
115. C2×C22⋊C4×D11C22semidirect
116. #10623008C22semidirect
117. C2×#66928C22semidirect
118. C4×#4339C22semidirect
119. C2×C42×D11C22semidirect
126. C2×C11×#41C23semidirect
127. C2×C11×#41C23semidirect
128. C22×Q8×C11C23semidirect
129. C22×Q8×C11C23semidirect
144. #41×D11D4semidirect
150. C2×#4343C23semidirect
151. C2×#4343C23semidirect
158. C2×Q8×D11C23semidirect
159. C2×Q8×D11C23semidirect
160. C2×Q8×D11C23semidirect
161. C2×Q8×D11C23semidirect
168. C2×#4341C23semidirect
169. C2×#4341C23semidirect
170. C2×#4341C23semidirect
171. C2×#4341C23semidirect
190. C2×#4339C23semidirect
191. C2×#4339C23semidirect
192. C2×#4339C23semidirect
193. C2×#4339C23semidirect
201. C22×Dic22C23semidirect
202. C22×Dic22C23semidirect
203. C22×Dic22C23semidirect
204. C11×C4⋊Q8C23semidirect
205. C11×#127C23semidirect
206. C11×#124C23semidirect
207. C11×#124C23semidirect
208. C11×#124C23semidirect
209. C11×#124C23semidirect
210. C11×#123C23semidirect
211. C11×C22⋊Q8C23semidirect
212. C11×#121C23semidirect
213. C11×#121C23semidirect
214. C11×#120C23semidirect
215. C4×Q8×C11C23semidirect
216. C4×D4×C11C23semidirect
217. C4×D4×C11C23semidirect
218. C11×#117C23semidirect
219. C2×C11×C22⋊C4C23semidirect
220. C2×C42×C11C23semidirect
221. #67006C23semidirect
222. C2×C22⋊Dic11C23semidirect
223. #67000C23semidirect
224. #67000C23semidirect
225. #67000C23semidirect
226. #67000C23semidirect
227. #66999C23semidirect
228. Q8×Dic11C23semidirect
229. #66997C23semidirect
230. #66997C23semidirect
231. #66993C23semidirect
232. #66993C23semidirect
233. #66993C23semidirect
234. #66992C23semidirect
235. #66992C23semidirect
236. #66992C23semidirect
237. #66991C23semidirect
238. #66991C23semidirect
239. #66990C23semidirect
240. #66990C23semidirect
241. #66989C23semidirect
242. #66989C23semidirect
243. #66989C23semidirect
244. #66989C23semidirect
245. #66988C23semidirect
246. D4×Dic11C23semidirect
247. D4×Dic11C23semidirect
248. #66983C23semidirect
249. #66983C23semidirect
250. #66982C23semidirect
251. C4×C22⋊D11C23semidirect
252. C4×C22⋊D11C23semidirect
253. C4×C22⋊D11C23semidirect
254. C2×(C2×D11)⋊C4C23semidirect
255. C2×(C2×D11)⋊C4C23semidirect
256. #66979C23semidirect
257. #66977C23semidirect
258. C2×C4×Dic11C23semidirect
259. C2×C4×Dic11C23semidirect
260. #66950C23semidirect
261. #66949C23semidirect
262. #66948C23semidirect
263. #66948C23semidirect
264. #66947C23semidirect
265. #66946C23semidirect
266. #66946C23semidirect
267. #66945C23semidirect
270. #66941C23semidirect
271. #66940C23semidirect
272. #66939C23semidirect
273. #66938C23semidirect
274. #66938C23semidirect
275. #66938C23semidirect
276. #66938C23semidirect
277. #66938C23semidirect
278. #66937C23semidirect
279. #66937C23semidirect
280. #66937C23semidirect
281. #66936C23semidirect
282. #66935C23semidirect
283. #66935C23semidirect
284. (C22⋊D11)⋊C4C23semidirect
285. (C22⋊D11)⋊C4C23semidirect
286. (C22⋊D11)⋊C4C23semidirect
291. C22⋊C4×D11C23semidirect
292. C22⋊C4×D11C23semidirect
293. #66931C23semidirect
294. #66930C23semidirect
295. #66928C23semidirect
296. #66928C23semidirect
297. #66928C23semidirect
298. #66928C23semidirect
299. #66927C23semidirect
300. C4×D44C23semidirect
301. C4×D44C23semidirect
302. #66925C23semidirect
306. C42×D11C23semidirect
307. C42×D11C23semidirect
308. C42×D11C23semidirect
309. #66922C23semidirect
310. C4×Dic22C23semidirect
324. C11×#41C2×D4semidirect
366. #4343C2×D4semidirect
382. #4341C2×D4semidirect
402. #4339C2×D4semidirect
485. #3500D11direct (N × H)
591. C2×2−1+4C2×D11semidirect
598. C2×H(5,𝔽2)C2×D11semidirect
615. #548C2×D11semidirect
627. #546C2×D11semidirect
635. #536C2×D11semidirect
643. #535C2×D11semidirect
653. #532C2×D11semidirect
667. C2×#124C2×D11semidirect
678. C4×#41C2×D11semidirect
760. C2×#41C22×D11semidirect
761. C2×#41C22×D11semidirect
775. C22×Q8C22×D11semidirect
776. C22×Q8C22×D11semidirect
806. C4⋊Q8C22×D11semidirect
811. #127C22×D11semidirect
829. #124C22×D11semidirect
830. #124C22×D11semidirect
831. #124C22×D11semidirect
832. #124C22×D11semidirect
838. #123C22×D11semidirect
844. C22⋊Q8C22×D11semidirect
857. #121C22×D11semidirect
858. #121C22×D11semidirect
864. #120C22×D11semidirect
868. C4×Q8C22×D11semidirect
881. C4×D4C22×D11semidirect
882. C4×D4C22×D11semidirect
887. #117C22×D11semidirect
899. C2×C22⋊C4C22×D11semidirect
908. C2×C42C22×D11semidirect
917. D11#3500direct (N × H)
951. #41D4×D11semidirect
1080. C11C2×#3500semidirect

Maximal subgroups

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

subgroupindex
C2×D11×2−1+42
C2×D11×H(5,𝔽2)2
#130824102
#130824092
#130824082
#130824072
#130824062
#130824052
#130824042
#130824032
#130824022
D11×#5482
D11×#5462
D11×#5362
D11×#5352
D11×#5322
C2×D11×#1242
C4×#41×D112
C11×#35002
C2×#350011