Finite Group Databasebeta

← C11×#61492 #14638685

Subgroups — C11×#61492 #14638685

Order 2816.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3518C211yesmaximal, characteristic, complemented
2C11×#3515C211yesmaximal, characteristic, complemented
3C11×#3398C211yesmaximal, characteristic, complemented
4C11×#3385C211yesmaximal, characteristic, complemented
5C11×#3363C211yesmaximal, characteristic, complemented
6C11×#3360C211yesmaximal, characteristic, complemented
7C11×#3357C211yesmaximal, characteristic, complemented
8C11×#3349C212yesmaximal, complemented
9C11×#3303C211yesmaximal, characteristic, complemented
10C11×#3302C212yesmaximal, complemented
11C11×#3300C212yesmaximal, complemented
12C11×#3299C211yesmaximal, characteristic, complemented
13C11×#3276C211yesmaximal, characteristic, complemented
14C11×#3269C212yesmaximal, complemented
15C11×#3178C212yesmaximal, complemented
16C11×#3170C211yesmaximal, characteristic, complemented
17C11×#3127C212yesmaximal, complemented
18C11×#3124C212yesmaximal, complemented
19C11×#3116C211yesmaximal, characteristic, complemented
20C11×#3116C211yesmaximal, characteristic, complemented
21C11×#2966C211yesmaximal, characteristic, complemented
22C11×#2947C212yesmaximal, complemented
23C4×C11×#135C211yesmaximal, characteristic, complemented
24C2×C11×#137C2212yes—
25C2×C11×#135C2211yescharacteristic
26Q82×C11C2211yescharacteristic
27C11×#557C2211yescharacteristic
28C11×#556—22no—
29C11×#556—21no—
30C11×#556C2211yescharacteristic
31C11×#556C2212yes—
32C11×#555—21no—
33C11×#555C2211yescharacteristic
34C11×#554C2211yescharacteristic
35C11×#554C2211yescharacteristic
36C11×#553—21no—
37C11×#552—22no—
38C11×#552—21no—
39C11×#552C2212yes—
40D4×Q8×C11C2211yescharacteristic
41C11×#548C2212yes—
42C11×#547C2212yes—
43C11×#547C2211yescharacteristic
44C11×#542—22no—
45C11×#542C2212yes—
46C11×#541C2212yes—
47C11×#539—22no—
48C11×#533—21no—
49C11×#533C2211yescharacteristic
50C11×#533C2211yescharacteristic
51C11×#529—21no—
52C11×#529—21no—
53C11×#529C2211yescharacteristic
54C2×C11×#125—21no—
55C11×#520C2212yes—
56C11×#519C2212yes—
57C4×C11×#41C2211yescharacteristic
58C4×C11×#41C2211yescharacteristic
59C11×#501C2212yes—
60C11×#500C2211yescharacteristic
61C11×#497C2212yes—
62C11×#494C2211yescharacteristic
63C11×#488C2212yes—
64C11×#487C2211yescharacteristic
65C11×#487C2211yescharacteristic
66C11×#487C2212yes—
67C11×#485C2212yes—
68C11×#485C2212yes—
69C11×#485C2212yes—
70C11×#485C2212yes—
71C11×#484C2212yes—
72C11×#480C2212yes—
73C11×#479C2212yes—
74C11×#479C2212yes—
75C11×#477C2211yescharacteristic
76C11×#477C2212yes—
77C11×#477C2211yescharacteristic
78C11×#476C2211yescharacteristic
79C11×#476C2211yescharacteristic
80C11×#474C2212yes—
81C11×#470C2212yes—
82C11×#468C2212yes—
83C11×#467C2212yes—
84C11×#467C2212yes—
85C11×#467C2212yes—
86C11×#465C2212yes—
87C11×#464C2212yes—
88C11×#463C2212yes—
89C11×#462C2212yes—
90C11×#462C2211yescharacteristic
91C11×#462C2211yescharacteristic
92C11×#462C2212yes—
93C11×#461C2211yescharacteristic
94C11×#461C2211yescharacteristic
95C11×#452C2212yes—
96C11×#452C2212yes—
97C11×#452C2212yes—
98C11×#451C2212yes—
99C11×#451C2212yes—
100C11×#449C2212yes—
101C11×#446C2211yescharacteristic
102C8×Q8×C11C2211yescharacteristic
103C11×#441C2212yes—
104C11×#441C2212yes—
105C11×#441C2212yes—
106C11×#440C2212yes—
107C11×#440C2212yes—
108C11×#440C2212yes—
109C4×C11×Q16C2212yes—
110C4×C11×Q16C2212yes—
111C4×C11×Q16C2211yescharacteristic
112C4×C11×Q16C2211yescharacteristic
113C4×C11×Q16C2212yes—
114C4×C11×SD16C2211yescharacteristic
115C4×C11×SD16C2211yescharacteristic
116C4×C11×SD16C2211yescharacteristic
117C4×C11×SD16C2211yescharacteristic
118C4×C11×SD16C2212yes—
119C4×C11×D8C2211yescharacteristic
120C4×C11×D8C2211yescharacteristic
121C11×#436C2211yescharacteristic
122C11×#435C2212yes—
123C8×D4×C11C2211yescharacteristic
124C8×D4×C11C2212yes—
125C11×#433C2212yes—
126C11×#432C2211yescharacteristic
127C11×#428C2212yes—
128C11×#427C2211yescharacteristic
129C11×#416C2211yescharacteristic
130C11×#416C2211yescharacteristic
131C11×#416C2212yes—
132C2×C11×#103C2212yes—
133C11×#405C2212yes—
134C2×C4×C8×C11C2211yescharacteristic
135C2×C11×#41C2311yescharacteristic
136C2×C11×#41C2311yescharacteristic
137C2×C11×#41C2312yes—
138C22×Q8×C11C2312yes—
139C11×#137—28no—
140C11×#135—24no—
141C2×C11×Q16C2312yes—
142C2×C11×Q16C2311yescharacteristic
143C2×C11×Q16C2312yes—
144C2×C11×Q16C2312yes—
145C2×C11×Q16C2312yes—
146C2×C11×SD16C2311yescharacteristic
147C2×C11×SD16C2312yes—
148C2×C11×SD16C2312yes—
149C2×C11×SD16C2311yescharacteristic
150C2×C11×D8C2311yescharacteristic
151C2×C11×M16C2312yes—
152C22×C8×C11C2311yescharacteristic
153C22×C8×C11C2311yescharacteristic
154C22×C8×C11C2312yes—
155C11×C4⋊Q8—21no—
156C11×C4⋊Q8—21no—
157C11×C4⋊Q8—22no—
158C11×C4⋊Q8C2311yescharacteristic
159C11×C4⋊Q8C2311yescharacteristic
160C11×C4⋊Q8C2312yes—
161C11×C4⋊Q8C2311yescharacteristic
162C11×C4⋊Q8C2311yescharacteristic
163C11×C4⋊Q8C2312yes—
164C11×#126—22no—
165C11×#126—22no—
166C11×#126—22no—
167C11×#126—22no—
168C11×#126—22no—
169C11×#126—22no—
170C11×#126—22no—
171C11×#126D412yes—
172C11×#125—22no—
173C11×#125—22no—
174C11×#125—21no—
175C11×#125—21no—
176C11×#125—22no—
177C11×#125—22no—
178C11×#125—21no—
179C11×#125—21no—
180C11×#125D411yescharacteristic
181C11×#125C2312yes—
182C11×#124—22no—
183C11×#124—22no—
184C11×#124—22no—
185C11×#124—22no—
186C11×#124D411yescharacteristic
187C11×#124C2312yes—
188C11×#123—22no—
189C11×#123—22no—
190C11×#123—22no—
191C11×#123—22no—
192C11×#123—22no—
193C11×#123D412yes—
194C11×C22⋊Q8—21no—
195C11×C22⋊Q8—21no—
196C11×C22⋊Q8—21no—
197C11×C22⋊Q8—21no—
198C11×C22⋊Q8—22no—
199C11×C22⋊Q8—22no—
200C11×C22⋊Q8—22no—
201C11×C22⋊Q8—22no—
202C11×C22⋊Q8—22no—
203C11×C22⋊Q8D411yescharacteristic
204C11×C22⋊Q8C2312yes—
205C11×C22⋊Q8C2312yes—
206C11×C22⋊Q8C2312yes—
207C11×C22⋊Q8C2312yes—
208C11×C22⋊Q8C2312yes—
209C11×#121—21no—
210C11×#121—21no—
211C11×#121—22no—
212C11×#121—22no—
213C11×#121D411yescharacteristic
214C11×#121C2312yes—
215C4×Q8×C11—21no—
216C4×Q8×C11—21no—
217C4×Q8×C11—22no—
218C4×Q8×C11—22no—
219C4×Q8×C11—22no—
220C4×Q8×C11—21no—
221C4×Q8×C11—21no—
222C4×Q8×C11C2311yescharacteristic
223C4×Q8×C11C2311yescharacteristic
224C4×Q8×C11C2311yescharacteristic
225C4×Q8×C11C2311yescharacteristic
226C4×Q8×C11C2312yes—
227C4×Q8×C11C2312yes—
228C4×Q8×C11C2312yes—
229C4×Q8×C11C2312yes—
230C4×Q8×C11C2312yes—
231C4×Q8×C11C2311yescharacteristic
232C4×D4×C11—21no—
233C4×D4×C11—21no—
234C4×D4×C11—21no—
235C4×D4×C11—21no—
236C4×D4×C11—21no—
237C4×D4×C11—21no—
238C4×D4×C11—22no—
239C4×D4×C11—22no—
240C4×D4×C11—22no—
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C4×D4×C11C2311yescharacteristic
245C4×D4×C11C2312yes—
246C4×D4×C11C2312yes—
247C4×D4×C11C2311yescharacteristic
248C11×#117—21no—
249C11×#117—21no—
250C11×#117—22no—
251C11×#117—21no—
252C11×#117—21no—
253C11×#117—22no—
254C11×#117—22no—
255C11×#117—22no—
256C11×#117—21no—
257C11×#117—21no—
258C11×#117C2311yescharacteristic
259C11×#117C2311yescharacteristic
260C11×#117C2312yes—
261C11×#117C2312yes—
262C2×C11×C4⋊C4—22no—
263C2×C11×C4⋊C4—21no—
264C2×C11×C4⋊C4—22no—
265C2×C11×C4⋊C4—21no—
266C2×C11×C4⋊C4C2312yes—
267C2×C42×C11—21no—
268C2×C42×C11—21no—
269C2×C42×C11C2311yescharacteristic
270C11×#107C2312yes—
271C11×#107C2312yes—
272C11×#107C2312yes—
273C11×#107C2311yescharacteristic
274C11×#107C2311yescharacteristic
275C11×#107C2312yes—
276C11×#106C2311yescharacteristic
277C11×#106C2312yes—
278C11×#106C2311yescharacteristic
279C11×#106C2312yes—
280C11×C4⋊C8C2311yescharacteristic
281C11×C4⋊C8C2311yescharacteristic
282C11×C4⋊C8C2312yes—
283C11×C4⋊C8C2312yes—
284C11×#103C2311yescharacteristic
285C11×#103C2312yes—
286C11×#103C2312yes—
287C11×#103C2312yes—
288C11×#103C2311yescharacteristic
289C11×#103C2311yescharacteristic
290C11×#103C2311yescharacteristic
291C11×#103C2312yes—
292C11×#103C2312yes—
293C11×#103C2312yes—
294C11×#103C2312yes—
295C11×#103C2312yes—
296C11×#103C2312yes—
297C11×#103C2312yes—
298C11×#102C2311yescharacteristic
299C11×#102C2311yescharacteristic
300C11×#102C2311yescharacteristic
301C11×#102C2311yescharacteristic
302C11×#102C2312yes—
303C11×#102C2312yes—
304C11×C22⋊C8C2312yes—
305C11×C22⋊C8C2312yes—
306C11×C22⋊C8C2312yes—
307C11×#97C2312yes—
308C11×#97C2312yes—
309C4×C8×C11C2311yescharacteristic
310C4×C8×C11C2311yescharacteristic
311C4×C8×C11C2311yescharacteristic
312C4×C8×C11C2311yescharacteristic
313C4×C8×C11C2312yes—
314#61492C1111yesmaximal, characteristic, direct product factor, Sylow
315C11×#41—22no—
316C11×#41—22no—
317C11×#41—24no—
318C11×#41—42no—
319C11×#41—41no—
320C11×#41—41no—
321C2×Q8×C11—22no—
322C2×Q8×C11—21no—
323C2×Q8×C11—21no—
324C2×Q8×C11—22no—
325C2×Q8×C11—24no—
326C2×Q8×C11—42no—
327C2×Q8×C11C2×D411yescharacteristic
328C2×Q8×C11C2412yes—
329C2×Q8×C11C2411yescharacteristic
330C2×Q8×C11C2412yes—
331C2×Q8×C11C2411yescharacteristic
332C2×D4×C11—21no—
333C2×D4×C11—22no—
334C2×D4×C11—21no—
335C2×D4×C11—22no—
336C2×D4×C11C2×D411yescharacteristic
337C2×D4×C11C2×D412yes—
338C2×D4×C11C2411yescharacteristic
339C2×D4×C11C2411yescharacteristic
340C22×C4×C11—22no—
341C22×C4×C11—22no—
342C22×C4×C11—21no—
343C22×C4×C11—21no—
344C22×C4×C11—21no—
345C22×C4×C11—21no—
346C22×C4×C11—22no—
347C22×C4×C11—21no—
348C22×C4×C11—21no—
349C22×C4×C11—22no—
350C22×C4×C11C2×D411yescharacteristic
351C22×C4×C11C2×D411yescharacteristic
352C22×C4×C11C2411yescharacteristic
353C22×C4×C11C2412yes—
354C11×Q16—24no—
355C11×Q16—22no—
356C11×Q16—24no—
357C11×Q16—42no—
358C11×Q16—42no—
359C11×SD16—22no—
360C11×SD16—24no—
361C11×SD16—42no—
362C11×SD16#4114yes—
363C11×D8—22no—
364C11×M16—24no—
365C2×C8×C11—22no—
366C2×C8×C11—42no—
367C2×C8×C11—41no—
368C2×C8×C11C2411yescharacteristic
369C2×C8×C11C2411yescharacteristic
370C2×C8×C11C2411yescharacteristic
371C2×C8×C11C2412yes—
372C2×C8×C11C2412yes—
373C2×C8×C11C2411yescharacteristic
374C11×C4⋊C4—22no—
375C11×C4⋊C4—21no—
376C11×C4⋊C4—21no—
377C11×C4⋊C4—22no—
378C11×C4⋊C4—22no—
379C11×C4⋊C4—22no—
380C11×C4⋊C4—22no—
381C11×C4⋊C4—22no—
382C11×C4⋊C4—22no—
383C11×C4⋊C4—22no—
384C11×C4⋊C4—21no—
385C11×C4⋊C4—21no—
386C11×C4⋊C4—21no—
387C11×C4⋊C4—21no—
388C11×C4⋊C4—21no—
389C11×C4⋊C4—21no—
390C11×C4⋊C4—22no—
391C11×C4⋊C4—22no—
392C11×C4⋊C4—22no—
393C11×C4⋊C4—22no—
394C11×C4⋊C4—22no—
395C11×C4⋊C4—21no—
396C11×C4⋊C4—22no—
397C11×C4⋊C4—21no—
398C11×C4⋊C4—22no—
399C11×C4⋊C4—22no—
400C11×C4⋊C4C2×D411yescharacteristic
401C11×C4⋊C4C2×D411yescharacteristic
402C11×C4⋊C4C2×D412yes—
403C11×C4⋊C4C2×D412yes—
404C11×C4⋊C4C2×D412yes—
405C11×C4⋊C4C2×D412yes—
406C11×C4⋊C4C2411yescharacteristic
407C11×C4⋊C4C2411yescharacteristic
408C11×C4⋊C4C2411yescharacteristic
409C11×C4⋊C4C2412yes—
410C11×C4⋊C4C2411yescharacteristic
411C11×C4⋊C4C2412yes—
412C11×C22⋊C4—22no—
413C11×C22⋊C4—22no—
414C11×C22⋊C4—22no—
415C11×C22⋊C4—22no—
416C11×C22⋊C4—21no—
417C11×C22⋊C4—21no—
418C11×C22⋊C4—22no—
419C11×C22⋊C4—22no—
420C11×C22⋊C4—21no—
421C11×C22⋊C4—21no—
422C11×C22⋊C4—22no—
423C11×C22⋊C4—21no—
424C11×C22⋊C4—21no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4C2×D412yes—
429C11×C22⋊C4C2×D412yes—
430C11×C22⋊C4C2×D412yes—
431C11×C22⋊C4C2×D412yes—
432C11×C22⋊C4C2×D412yes—
433C42×C11—21no—
434C42×C11—21no—
435C42×C11—21no—
436C42×C11—21no—
437C42×C11—21no—
438C42×C11—21no—
439C42×C11—22no—
440C42×C11—22no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11C2×D411yescharacteristic
446C42×C11C2×D411yescharacteristic
447C42×C11C2411yescharacteristic
448C42×C11C2411yescharacteristic
449C42×C11C2412yes—
450#3518C2×C1111yescharacteristic, complemented
451#3515C2×C1111yescharacteristic, complemented
452#3398C2×C1111yescharacteristic, complemented
453#3385C2×C1111yescharacteristic, complemented
454#3363C2×C1111yescharacteristic, complemented
455#3360C2×C1111yescharacteristic, complemented
456#3357C2×C1111yescharacteristic, complemented
457#3349C2×C1112yescomplemented
458#3303C2×C1111yescharacteristic, complemented
459#3302C2×C1112yescomplemented
460#3300C2×C1112yescomplemented
461#3299C2×C1111yescharacteristic, complemented
462#3276C2×C1111yescharacteristic, complemented
463#3269C2×C1112yescomplemented
464#3178C2×C1112yescomplemented
465#3170C2×C1111yescharacteristic, complemented
466#3127C2×C1112yescomplemented
467#3124C2×C1112yescomplemented
468#3116C2×C1111yescharacteristic, complemented
469#3116C2×C1111yescharacteristic, complemented
470#2966C2×C1111yescharacteristic, complemented
471#2947C2×C1112yescomplemented
472C4×#135C2×C1111yescharacteristic, complemented
473C23×C11—21no—
474C23×C11—21no—
475C23×C11C22×D411yescharacteristic
476C23×C11C22×D412yes—
477Q8×C11—22no—
478Q8×C11—21no—
479Q8×C11—22no—
480Q8×C11—21no—
481Q8×C11—22no—
482Q8×C11—22no—
483Q8×C11—22no—
484Q8×C11—21no—
485Q8×C11—44no—
486Q8×C11—81no—
487Q8×C11—81no—
488Q8×C11—82no—
489Q8×C11C2×#4112yes—
490D4×C11—22no—
491D4×C11—21no—
492D4×C11—21no—
493D4×C11—21no—
494D4×C11—42no—
495D4×C11—42no—
496D4×C11—44no—
497D4×C11—42no—
498D4×C11—82no—
499D4×C11C2×#4112yes—
500C2×C4×C11—21no—
501C2×C4×C11—22no—
502C2×C4×C11—21no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—21no—
506C2×C4×C11—21no—
507C2×C4×C11—21no—
508C2×C4×C11—22no—
509C2×C4×C11—21no—
510C2×C4×C11—22no—
511C2×C4×C11—21no—
512C2×C4×C11—21no—
513C2×C4×C11—22no—
514C2×C4×C11—22no—
515C2×C4×C11—41no—
516C2×C4×C11—42no—
517C2×C4×C11—44no—
518C2×C4×C11—42no—
519C2×C4×C11—44no—
520C2×C4×C11—42no—
521C2×C4×C11—42no—
522C2×C4×C11—81no—
523C2×C4×C11—81no—
524C2×C4×C11—82no—
525C2×C4×C11—82no—
526C2×C4×C11C22×D411yescharacteristic
527C2×C4×C11C22×D411yescharacteristic
528C2×C4×C11C22×D411yescharacteristic
529C2×C4×C11C22×D412yes—
530C2×C4×C11C22×D412yes—
531C2×C4×C11C22×D412yes—
532C2×C4×C11C22×D411yescharacteristic
533C2×C4×C11C22×D411yescharacteristic
534C2×C4×C11C2511yescharacteristic
535C8×C11—21no—
536C8×C11—22no—
537C8×C11—21no—
538C8×C11—22no—
539C8×C11—21no—
540C8×C11C2×#4112yes—
541C2×#137C22×C1112yes—
542C2×#135C22×C1111yescharacteristic
543Q82C22×C1111yescharacteristic
544#557C22×C1111yescharacteristic
545#556—22no—
546#556—21no—
547#556C22×C1111yescharacteristic
548#556C22×C1112yes—
549#555—21no—
550#555C22×C1111yescharacteristic
551#554C22×C1111yescharacteristic
552#554C22×C1111yescharacteristic
553#553—21no—
554#552—22no—
555#552—21no—
556#552C22×C1112yes—
557D4×Q8C22×C1111yescharacteristic
558#548C22×C1112yes—
559#547C22×C1112yes—
560#547C22×C1111yescharacteristic
561#542—22no—
562#542C22×C1112yes—
563#541C22×C1112yes—
564#539—22no—
565#533—21no—
566#533C22×C1111yescharacteristic
567#533C22×C1111yescharacteristic
568#529—21no—
569#529—21no—
570#529C22×C1111yescharacteristic
571C2×#125—21no—
572#520C22×C1112yes—
573#519C22×C1112yes—
574C4×#41C22×C1111yescharacteristic
575C4×#41C22×C1111yescharacteristic
576#501C22×C1112yes—
577#500C22×C1111yescharacteristic
578#497C22×C1112yes—
579#494C22×C1111yescharacteristic
580#488C22×C1112yes—
581#487C22×C1111yescharacteristic
582#487C22×C1111yescharacteristic
583#487C22×C1112yes—
584#485C22×C1112yes—
585#485C22×C1112yes—
586#485C22×C1112yes—
587#485C22×C1112yes—
588#484C22×C1112yes—
589#480C22×C1112yes—
590#479C22×C1112yes—
591#479C22×C1112yes—
592#477C22×C1112yes—
593#477C22×C1111yescharacteristic
594#477C22×C1111yescharacteristic
595#476C22×C1111yescharacteristic
596#476C22×C1111yescharacteristic
597#474C22×C1112yes—
598#470C22×C1112yes—
599#468C22×C1112yes—
600#467C22×C1112yes—
601#467C22×C1112yes—
602#467C22×C1112yes—
603#465C22×C1112yes—
604#464C22×C1112yes—
605#463C22×C1112yes—
606#462C22×C1111yescharacteristic
607#462C22×C1112yes—
608#462C22×C1111yescharacteristic
609#462C22×C1112yes—
610#461C22×C1111yescharacteristic
611#461C22×C1111yescharacteristic
612#452C22×C1112yes—
613#452C22×C1112yes—
614#452C22×C1112yes—
615#451C22×C1112yes—
616#451C22×C1112yes—
617#449C22×C1112yes—
618#446C22×C1111yescharacteristic
619C8×Q8C22×C1111yescharacteristic
620#441C22×C1112yes—
621#441C22×C1112yes—
622#441C22×C1112yes—
623#440C22×C1112yes—
624#440C22×C1112yes—
625#440C22×C1112yes—
626C4×Q16C22×C1111yescharacteristic
627C4×Q16C22×C1112yes—
628C4×Q16C22×C1112yes—
629C4×Q16C22×C1111yescharacteristic
630C4×Q16C22×C1112yes—
631C4×SD16C22×C1111yescharacteristic
632C4×SD16C22×C1112yes—
633C4×SD16C22×C1111yescharacteristic
634C4×SD16C22×C1111yescharacteristic
635C4×SD16C22×C1111yescharacteristic
636C4×D8C22×C1111yescharacteristic
637C4×D8C22×C1111yescharacteristic
638#436C22×C1111yescharacteristic
639#435C22×C1112yes—
640C8×D4C22×C1111yescharacteristic
641C8×D4C22×C1112yes—
642#433C22×C1112yes—
643#432C22×C1111yescharacteristic
644#428C22×C1112yes—
645#427C22×C1111yescharacteristic
646#416C22×C1111yescharacteristic
647#416C22×C1111yescharacteristic
648#416C22×C1112yes—
649C2×#103C22×C1112yes—
650#405C22×C1112yes—
651C2×C4×C8C22×C1111yescharacteristic
652C22×C11—21no—
653C22×C11—22no—
654C22×C11—22no—
655C22×C11—21no—
656C22×C11—22no—
657C22×C11—21no—
658C22×C11—22no—
659C22×C11—41no—
660C22×C11—41no—
661C22×C11—41no—
662C22×C11—41no—
663C22×C11—41no—
664C22×C11C23×D411yescharacteristic
665C4×C11—21no—
666C4×C11—21no—
667C4×C11—22no—
668C4×C11—21no—
669C4×C11—22no—
670C4×C11—22no—
671C4×C11—21no—
672C4×C11—22no—
673C4×C11—41no—
674C4×C11—42no—
675C4×C11—41no—
676C4×C11—42no—
677C4×C11—41no—
678C4×C11—42no—
679C4×C11—42no—
680C4×C11—41no—
681C4×C11—41no—
682C4×C11#57812yes—
683C4×C11C22×#4111yescharacteristic
684C4×C11#58511yescharacteristic
685C2×#41C23×C1111yescharacteristic
686C2×#41C23×C1111yescharacteristic
687C2×#41C23×C1112yes—
688C22×Q8C23×C1112yes—
689#137—28no—
690#135—24no—
691C2×Q16C23×C1111yescharacteristic
692C2×Q16C23×C1112yes—
693C2×Q16C23×C1112yes—
694C2×Q16C23×C1112yes—
695C2×Q16C23×C1112yes—
696C2×SD16C23×C1111yescharacteristic
697C2×SD16C23×C1112yes—
698C2×SD16C23×C1112yes—
699C2×SD16C23×C1111yescharacteristic
700C2×D8C23×C1111yescharacteristic
701C2×M16C23×C1112yes—
702C22×C8C23×C1111yescharacteristic
703C22×C8C23×C1111yescharacteristic
704C22×C8C23×C1112yes—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—22no—
708C4⋊Q8C23×C1111yescharacteristic
709C4⋊Q8C23×C1111yescharacteristic
710C4⋊Q8C23×C1112yes—
711C4⋊Q8C23×C1111yescharacteristic
712C4⋊Q8C23×C1111yescharacteristic
713C4⋊Q8C23×C1112yes—
714#126—22no—
715#126—22no—
716#126—22no—
717#126—22no—
718#126—22no—
719#126—22no—
720#126—22no—
721#126D4×C1112yes—
722#125—22no—
723#125—22no—
724#125—21no—
725#125—21no—
726#125—22no—
727#125—22no—
728#125—21no—
729#125—21no—
730#125D4×C1111yescharacteristic
731#125C23×C1112yes—
732#124—22no—
733#124—22no—
734#124—22no—
735#124—22no—
736#124D4×C1111yescharacteristic
737#124C23×C1112yes—
738#123—22no—
739#123—22no—
740#123—22no—
741#123—22no—
742#123—22no—
743#123D4×C1112yes—
744C22⋊Q8—21no—
745C22⋊Q8—21no—
746C22⋊Q8—21no—
747C22⋊Q8—21no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8D4×C1111yescharacteristic
754C22⋊Q8C23×C1112yes—
755C22⋊Q8C23×C1112yes—
756C22⋊Q8C23×C1112yes—
757C22⋊Q8C23×C1112yes—
758C22⋊Q8C23×C1112yes—
759#121—21no—
760#121—21no—
761#121—22no—
762#121—22no—
763#121D4×C1111yescharacteristic
764#121C23×C1112yes—
765C4×Q8—21no—
766C4×Q8—21no—
767C4×Q8—22no—
768C4×Q8—22no—
769C4×Q8—22no—
770C4×Q8—21no—
771C4×Q8—21no—
772C4×Q8C23×C1111yescharacteristic
773C4×Q8C23×C1111yescharacteristic
774C4×Q8C23×C1111yescharacteristic
775C4×Q8C23×C1111yescharacteristic
776C4×Q8C23×C1112yes—
777C4×Q8C23×C1112yes—
778C4×Q8C23×C1112yes—
779C4×Q8C23×C1112yes—
780C4×Q8C23×C1112yes—
781C4×Q8C23×C1111yescharacteristic
782C4×D4—21no—
783C4×D4—21no—
784C4×D4—21no—
785C4×D4—21no—
786C4×D4—21no—
787C4×D4—21no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4C23×C1111yescharacteristic
792C4×D4C23×C1111yescharacteristic
793C4×D4C23×C1111yescharacteristic
794C4×D4C23×C1111yescharacteristic
795C4×D4C23×C1112yes—
796C4×D4C23×C1112yes—
797C4×D4C23×C1111yescharacteristic
798#117—21no—
799#117—21no—
800#117—22no—
801#117—21no—
802#117—21no—
803#117—22no—
804#117—22no—
805#117—22no—
806#117—21no—
807#117—21no—
808#117C23×C1111yescharacteristic
809#117C23×C1111yescharacteristic
810#117C23×C1112yes—
811#117C23×C1112yes—
812C2×C4⋊C4—22no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—22no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4C23×C1112yes—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42C23×C1111yescharacteristic
820#107C23×C1111yescharacteristic
821#107C23×C1111yescharacteristic
822#107C23×C1112yes—
823#107C23×C1112yes—
824#107C23×C1112yes—
825#107C23×C1112yes—
826#106C23×C1111yescharacteristic
827#106C23×C1111yescharacteristic
828#106C23×C1112yes—
829#106C23×C1112yes—
830C4⋊C8C23×C1111yescharacteristic
831C4⋊C8C23×C1111yescharacteristic
832C4⋊C8C23×C1112yes—
833C4⋊C8C23×C1112yes—
834#103C23×C1111yescharacteristic
835#103C23×C1112yes—
836#103C23×C1112yes—
837#103C23×C1112yes—
838#103C23×C1111yescharacteristic
839#103C23×C1111yescharacteristic
840#103C23×C1111yescharacteristic
841#103C23×C1112yes—
842#103C23×C1112yes—
843#103C23×C1112yes—
844#103C23×C1112yes—
845#103C23×C1112yes—
846#103C23×C1112yes—
847#103C23×C1112yes—
848#102C23×C1111yescharacteristic
849#102C23×C1111yescharacteristic
850#102C23×C1111yescharacteristic
851#102C23×C1111yescharacteristic
852#102C23×C1112yes—
853#102C23×C1112yes—
854C22⋊C8C23×C1112yes—
855C22⋊C8C23×C1112yes—
856C22⋊C8C23×C1112yes—
857#97C23×C1112yes—
858#97C23×C1112yes—
859C4×C8C23×C1111yescharacteristic
860C4×C8C23×C1111yescharacteristic
861C4×C8C23×C1111yescharacteristic
862C4×C8C23×C1111yescharacteristic
863C4×C8C23×C1112yes—
864C2×C11—41no—
865C2×C11—42no—
866C2×C11—42no—
867C2×C11—81no—
868C2×C11D4×#4111yescharacteristic
869C2×C11C2×#57811yescharacteristic
870C2×C11#358411yescharacteristic
871#41—22no—
872#41—22no—
873#41—24no—
874#41—42no—
875#41—41no—
876#41—41no—
877C2×Q8—22no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—22no—
881C2×Q8—24no—
882C2×Q8—42no—
883C2×Q8C2×D4×C1111yescharacteristic
884C2×Q8C24×C1112yes—
885C2×Q8C24×C1111yescharacteristic
886C2×Q8C24×C1112yes—
887C2×Q8C24×C1111yescharacteristic
888C2×D4—21no—
889C2×D4—22no—
890C2×D4—21no—
891C2×D4—22no—
892C2×D4C2×D4×C1111yescharacteristic
893C2×D4C2×D4×C1112yes—
894C2×D4C24×C1111yescharacteristic
895C2×D4C24×C1111yescharacteristic
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—22no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—22no—
906C22×C4C2×D4×C1111yescharacteristic
907C22×C4C2×D4×C1111yescharacteristic
908C22×C4C24×C1111yescharacteristic
909C22×C4C24×C1112yes—
910Q16—22no—
911Q16—24no—
912Q16—24no—
913Q16—42no—
914Q16—42no—
915SD16—24no—
916SD16—22no—
917SD16—42no—
918SD16C11×#4114yes—
919D8—22no—
920M16—24no—
921C2×C8—22no—
922C2×C8—42no—
923C2×C8—41no—
924C2×C8C24×C1111yescharacteristic
925C2×C8C24×C1111yescharacteristic
926C2×C8C24×C1111yescharacteristic
927C2×C8C24×C1112yes—
928C2×C8C24×C1112yes—
929C2×C8C24×C1111yescharacteristic
930C4⋊C4—22no—
931C4⋊C4—21no—
932C4⋊C4—21no—
933C4⋊C4—22no—
934C4⋊C4—22no—
935C4⋊C4—22no—
936C4⋊C4—22no—
937C4⋊C4—22no—
938C4⋊C4—22no—
939C4⋊C4—22no—
940C4⋊C4—21no—
941C4⋊C4—21no—
942C4⋊C4—21no—
943C4⋊C4—21no—
944C4⋊C4—21no—
945C4⋊C4—21no—
946C4⋊C4—22no—
947C4⋊C4—22no—
948C4⋊C4—22no—
949C4⋊C4—22no—
950C4⋊C4—22no—
951C4⋊C4—21no—
952C4⋊C4—22no—
953C4⋊C4—21no—
954C4⋊C4—22no—
955C4⋊C4—22no—
956C4⋊C4C2×D4×C1111yescharacteristic
957C4⋊C4C2×D4×C1111yescharacteristic
958C4⋊C4C2×D4×C1112yes—
959C4⋊C4C2×D4×C1112yes—
960C4⋊C4C2×D4×C1112yes—
961C4⋊C4C2×D4×C1112yes—
962C4⋊C4C24×C1111yescharacteristic
963C4⋊C4C24×C1111yescharacteristic
964C4⋊C4C24×C1111yescharacteristic
965C4⋊C4C24×C1112yes—
966C4⋊C4C24×C1111yescharacteristic
967C4⋊C4C24×C1112yes—
968C22⋊C4—22no—
969C22⋊C4—22no—
970C22⋊C4—22no—
971C22⋊C4—22no—
972C22⋊C4—21no—
973C22⋊C4—21no—
974C22⋊C4—22no—
975C22⋊C4—22no—
976C22⋊C4—21no—
977C22⋊C4—21no—
978C22⋊C4—22no—
979C22⋊C4—21no—
980C22⋊C4—21no—
981C22⋊C4—22no—
982C22⋊C4—22no—
983C22⋊C4—22no—
984C22⋊C4C2×D4×C1112yes—
985C22⋊C4C2×D4×C1112yes—
986C22⋊C4C2×D4×C1112yes—
987C22⋊C4C2×D4×C1112yes—
988C22⋊C4C2×D4×C1112yes—
989C42—21no—
990C42—21no—
991C42—21no—
992C42—21no—
993C42—21no—
994C42—21no—
995C42—22no—
996C42—22no—
997C42—22no—
998C42—22no—
999C42—22no—
1000C42—22no—
1001C42C2×D4×C1111yescharacteristic
1002C42C2×D4×C1111yescharacteristic
1003C42C24×C1111yescharacteristic
1004C42C24×C1111yescharacteristic
1005C42C24×C1112yes—
1006C11#6149211yescharacteristic, direct product factor, Sylow
1007C23—21no—
1008C23—21no—
1009C23C22×D4×C1111yescharacteristic
1010C23C22×D4×C1112yes—
1011Q8—22no—
1012Q8—21no—
1013Q8—22no—
1014Q8—21no—
1015Q8—22no—
1016Q8—22no—
1017Q8—22no—
1018Q8—21no—
1019Q8—44no—
1020Q8—81no—
1021Q8—81no—
1022Q8—82no—
1023Q8C2×C11×#4112yes—
1024D4—22no—
1025D4—21no—
1026D4—21no—
1027D4—21no—
1028D4—42no—
1029D4—42no—
1030D4—44no—
1031D4—42no—
1032D4—82no—
1033D4C2×C11×#4112yes—
1034C2×C4—21no—
1035C2×C4—22no—
1036C2×C4—21no—
1037C2×C4—22no—
1038C2×C4—22no—
1039C2×C4—21no—
1040C2×C4—21no—
1041C2×C4—21no—
1042C2×C4—22no—
1043C2×C4—21no—
1044C2×C4—22no—
1045C2×C4—21no—
1046C2×C4—21no—
1047C2×C4—22no—
1048C2×C4—22no—
1049C2×C4—41no—
1050C2×C4—42no—
1051C2×C4—44no—
1052C2×C4—42no—
1053C2×C4—44no—
1054C2×C4—42no—
1055C2×C4—42no—
1056C2×C4—81no—
1057C2×C4—81no—
1058C2×C4—82no—
1059C2×C4—82no—
1060C2×C4C22×D4×C1111yescharacteristic
1061C2×C4C22×D4×C1111yescharacteristic
1062C2×C4C22×D4×C1111yescharacteristic
1063C2×C4C22×D4×C1112yes—
1064C2×C4C22×D4×C1112yes—
1065C2×C4C22×D4×C1112yes—
1066C2×C4C22×D4×C1111yescharacteristic
1067C2×C4C22×D4×C1111yescharacteristic
1068C2×C4C25×C1111yescharacteristic
1069C8—21no—
1070C8—22no—
1071C8—21no—
1072C8—22no—
1073C8—21no—
1074C8C2×C11×#4112yes—
1075C22—22no—
1076C22—21no—
1077C22—22no—
1078C22—21no—
1079C22—22no—
1080C22—21no—
1081C22—22no—
1082C22—41no—
1083C22—41no—
1084C22—41no—
1085C22—41no—
1086C22—41no—
1087C22C23×D4×C1111yescharacteristic
1088C4—21no—
1089C4—22no—
1090C4—22no—
1091C4—21no—
1092C4—22no—
1093C4—21no—
1094C4—21no—
1095C4—22no—
1096C4—41no—
1097C4—42no—
1098C4—42no—
1099C4—41no—
1100C4—41no—
1101C4—41no—
1102C4—42no—
1103C4—41no—
1104C4—42no—
1105C4C11×#57812yes—
1106C4C22×C11×#4111yescharacteristic
1107C4C11×#58511yescharacteristic
1108C2—42no—
1109C2—41no—
1110C2—42no—
1111C2—81no—
1112C2D4×C11×#4111yescharacteristic
1113C2C2×C11×#57811yescharacteristic
1114C2C11×#358411yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3518C2semidirect
2. C11×#3515C2semidirect
3. C11×#3398C2semidirect
4. C11×#3385C2semidirect
5. C11×#3363C2semidirect
6. C11×#3360C2semidirect
7. C11×#3357C2semidirect
8. C11×#3349C2semidirect
9. C11×#3303C2semidirect
10. C11×#3302C2semidirect
11. C11×#3300C2semidirect
12. C11×#3299C2semidirect
13. C11×#3276C2semidirect
14. C11×#3269C2semidirect
15. C11×#3178C2semidirect
16. C11×#3170C2semidirect
17. C11×#3127C2semidirect
18. C11×#3124C2semidirect
19. C11×#3116C2semidirect
20. C11×#3116C2semidirect
21. C11×#2966C2semidirect
22. C11×#2947C2semidirect
23. C4×C11×#135C2semidirect
314. #61492C11direct (N × H)
450. #3518C2×C11semidirect
451. #3515C2×C11semidirect
452. #3398C2×C11semidirect
453. #3385C2×C11semidirect
454. #3363C2×C11semidirect
455. #3360C2×C11semidirect
456. #3357C2×C11semidirect
457. #3349C2×C11semidirect
458. #3303C2×C11semidirect
459. #3302C2×C11semidirect
460. #3300C2×C11semidirect
461. #3299C2×C11semidirect
462. #3276C2×C11semidirect
463. #3269C2×C11semidirect
464. #3178C2×C11semidirect
465. #3170C2×C11semidirect
466. #3127C2×C11semidirect
467. #3124C2×C11semidirect
468. #3116C2×C11semidirect
469. #3116C2×C11semidirect
470. #2966C2×C11semidirect
471. #2947C2×C11semidirect
472. C4×#135C2×C11semidirect
1006. C11#61492direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35182
C11×#35152
C11×#33982
C11×#33852
C11×#33632
C11×#33602
C11×#33572
C11×#33492
C11×#33032
C11×#33022
C11×#33002
C11×#32992
C11×#32762
C11×#32692
C11×#31782
C11×#31702
C11×#31272
C11×#31242
C11×#31162
C11×#29662
C11×#29472
C4×C11×#1352
#6149211