Finite Group Databasebeta

← D11×#2528 #14923320

Subgroups — D11×#2528 #14923320

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073425C211yesmaximal, characteristic, complemented
2#13073424C211yesmaximal, characteristic, complemented
3#13073423C211yesmaximal, characteristic, complemented
4#13073422C211yesmaximal, characteristic, complemented
5#13073421C211yesmaximal, characteristic, complemented
6#13073420C211yesmaximal, characteristic, complemented
7#13073419C211yesmaximal, characteristic, complemented
8#13073418C211yesmaximal, characteristic, complemented
9#13073417C211yesmaximal, characteristic, complemented
10#13073416C211yesmaximal, characteristic, complemented
11#13073415C211yesmaximal, characteristic, complemented
12#13073414C211yesmaximal, characteristic, complemented
13#13073413C211yesmaximal, characteristic, complemented
14#13073412C211yesmaximal, characteristic, complemented
15#13073411C211yesmaximal, characteristic, complemented
16D11×#401C211yesmaximal, characteristic
17D11×#400C211yesmaximal, characteristic
18D11×#400C211yesmaximal, characteristic
19D11×#398C211yesmaximal, characteristic
20D11×#389C211yesmaximal, characteristic
21D11×#387C211yesmaximal, characteristic
22D11×#387C211yesmaximal, characteristic
23D11×#387C211yesmaximal, characteristic
24D11×#387C211yesmaximal, characteristic
25D11×#387C211yesmaximal, characteristic
26D11×#387C211yesmaximal, characteristic
27D11×#387C211yesmaximal, characteristic
28D11×#382C211yesmaximal, characteristic
29C4×C4⋊C4×D11C211yesmaximal, characteristic
30D11×#376C211yesmaximal, characteristic
31C11×#2528C211yesmaximal, characteristic, complemented
32C2×C4⋊C4×D11C2211yescharacteristic
33C2×C4⋊C4×D11C2211yescharacteristic
34C2×C4⋊C4×D11C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C42×D11C2211yescharacteristic
43C2×C42×D11C2211yescharacteristic
44C2×C42×D11C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#401C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#398C2211yescharacteristic
51C11×#389C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#382C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C11×#376C2211yescharacteristic
62#10622599C2211yescharacteristic
63#10622599C2211yescharacteristic
64#10622598C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622596C2211yescharacteristic
68#10622595C2211yescharacteristic
69#10622595C2211yescharacteristic
70#10622594C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622594C2211yescharacteristic
73#10622594C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622593C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622590C2211yescharacteristic
86#10622590C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89#10622586C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622549C2211yescharacteristic
93C4×C4⋊Dic11C2211yescharacteristic
94#10622546C2211yescharacteristic
95#10622546C2211yescharacteristic
96#10622546C2211yescharacteristic
97#10622546C2211yescharacteristic
98#10622546C2211yescharacteristic
99#10622546C2211yescharacteristic
100#10622546C2211yescharacteristic
101#10622545C2211yescharacteristic
102#10622545C2211yescharacteristic
103#10622545C2211yescharacteristic
104C4×Dic11⋊C4C2211yescharacteristic
105C4×Dic11⋊C4C2211yescharacteristic
106#10622541C2211yescharacteristic
107D11×#95C2211yescharacteristic
108D11×#95C2211yescharacteristic
109D11×#95C2211yescharacteristic
110D11×#95C2211yescharacteristic
111D11×#95C2211yescharacteristic
112D11×#95C2211yescharacteristic
113D11×#95C2211yescharacteristic
114D11×#95C2211yescharacteristic
115D11×#95C2211yescharacteristic
116D11×#95C2211yescharacteristic
117D11×#95C2211yescharacteristic
118D11×#95C2211yescharacteristic
119D11×#95C2211yescharacteristic
120D11×#95C2211yescharacteristic
121D11×#95C2211yescharacteristic
122D11×#95C2211yescharacteristic
123D11×#95C2211yescharacteristic
124D11×#95C2211yescharacteristic
125D11×#95C2211yescharacteristic
126D11×#95C2211yescharacteristic
127C11⋊#401C2211yescharacteristic
128C11⋊#401C2211yescharacteristic
129C11⋊#401C2211yescharacteristic
130C11⋊#401C2211yescharacteristic
131C11⋊#401C2211yescharacteristic
132C11⋊#401C2211yescharacteristic
133C11⋊#401C2211yescharacteristic
134#10622274C2211yescharacteristic
135#10622273C2211yescharacteristic
136#10622273C2211yescharacteristic
137#10622273C2211yescharacteristic
138#10622273C2211yescharacteristic
139#10622272C2211yescharacteristic
140#10622272C2211yescharacteristic
141#10622271C2211yescharacteristic
142#10622271C2211yescharacteristic
143#10622271C2211yescharacteristic
144#10622271C2211yescharacteristic
145#10622270C2211yescharacteristic
146#10622270C2211yescharacteristic
147#10622268C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622268C2211yescharacteristic
151#10622268C2211yescharacteristic
152#10622268C2211yescharacteristic
153#10622268C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622267C2211yescharacteristic
156#10622267C2211yescharacteristic
157#10622267C2211yescharacteristic
158#10622267C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622263C2211yescharacteristic
178#10622263C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187C22×C4×D11C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C4⋊Dic11C2311yescharacteristic
218C2×C4⋊Dic11C2311yescharacteristic
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×Dic11⋊C4C2311yescharacteristic
228C2×Dic11⋊C4C2311yescharacteristic
229C2×Dic11⋊C4C2311yescharacteristic
230C2×Dic11⋊C4C2311yescharacteristic
231C2×Dic11⋊C4C2311yescharacteristic
232C2×Dic11⋊C4C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×C4×Dic11C2311yescharacteristic
248C2×C4×Dic11C2311yescharacteristic
249C2×C4×Dic11C2311yescharacteristic
250C2×C4×Dic11C2311yescharacteristic
251C2×C4×Dic11C2311yescharacteristic
252C2×C4×Dic11C2311yescharacteristic
253C2×C4×Dic11C2311yescharacteristic
254C2×C4×Dic11C2311yescharacteristic
255C2×C4×Dic11C2311yescharacteristic
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C4⋊C4×D11—24no—
263C4⋊C4×D11—24no—
264C4⋊C4×D11—24no—
265C4⋊C4×D11—24no—
266C4⋊C4×D11—24no—
267C4⋊C4×D11—24no—
268C4⋊C4×D11—24no—
269C4⋊C4×D11—24no—
270C4⋊C4×D11—24no—
271C4⋊C4×D11—24no—
272C42×D11—24no—
273C42×D11—24no—
274C42×D11—24no—
275C42×D11—24no—
276C42×D11—24no—
277C11×#95C2311yescharacteristic
278C11×#95C2311yescharacteristic
279C11×#95C2311yescharacteristic
280C11×#95C2311yescharacteristic
281C11×#95C2311yescharacteristic
282C11×#95C2311yescharacteristic
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11⋊#95C2311yescharacteristic
298C11⋊#95C2311yescharacteristic
299C11⋊#95C2311yescharacteristic
300C11⋊#95C2311yescharacteristic
301C11⋊#95C2311yescharacteristic
302C11⋊#95C2311yescharacteristic
303C11⋊#95C2311yescharacteristic
304C11⋊#95C2311yescharacteristic
305C11⋊#95C2311yescharacteristic
306C11⋊#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C2×#2528—111nomaximal, Sylow
358C23×D11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C2×C4×D11—22no—
390C2×C4×D11—22no—
391C2×C4×D11—22no—
392C2×C4×D11—22no—
393C2×C4×D11—22no—
394C2×C4×D11—22no—
395C2×C4×D11—22no—
396C2×C4×D11—22no—
397C2×C4×D11—22no—
398C2×C4×D11—22no—
399C2×C4×D11—22no—
400C2×C4×D11—22no—
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11#4114yes—
430C2×C4×D11#4114yes—
431C2×C4×D11#4114yes—
432C2×C4×D11#4114yes—
433C2×C4×D11#4114yes—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C42×C11—22no—
445C42×C11—22no—
446C42×C11—22no—
447C42×C11—22no—
448C42×C11—22no—
449C4⋊Dic11—22no—
450C4⋊Dic11—22no—
451C4⋊Dic11—22no—
452C4⋊Dic11—22no—
453C4⋊Dic11—22no—
454C4⋊Dic11—22no—
455C4⋊Dic11—22no—
456C4⋊Dic11—22no—
457C4⋊Dic11—22no—
458C4⋊Dic11—22no—
459Dic11⋊C4—22no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
466Dic11⋊C4—22no—
467Dic11⋊C4—22no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479C4×Dic11—22no—
480C4×Dic11—22no—
481C4×Dic11—22no—
482C4×Dic11—22no—
483C4×Dic11—22no—
484C4×Dic11—22no—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—22no—
488C4×Dic11—22no—
489C4×Dic11—22no—
490C4×Dic11—22no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494#2528—111no—
495#2528—111no—
496#2528—111no—
497#2528—111no—
498#2528—111no—
499#2528—111no—
500#2528—111no—
501#2528—111no—
502#2528—111no—
503#2528—111no—
504#2528—111no—
505#2528—111no—
506#2528—111no—
507#2528—111no—
508#2528—111no—
509#2528D1111yescharacteristic, direct product factor
510C2×#401—111no—
511C2×#400—111no—
512C2×#400—111no—
513C2×#398—111no—
514C2×#389—111no—
515C2×#387—111no—
516C2×#387—111no—
517C2×#387—111no—
518C2×#387—111no—
519C2×#387—111no—
520C2×#387—111no—
521C2×#387—111no—
522C2×#382—111no—
523C2×C4×C4⋊C4—111no—
524C2×#376—111no—
525C23×C11C2511yescharacteristic
526C22×D11C2×#4112yes—
527C22×D11C2×#4112yes—
528C22×D11C2×#4112yes—
529C22×D11C2×#4112yes—
530C22×D11C2×#4112yes—
531C22×D112−1+412yes—
532C22×D112−1+412yes—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11C2×#4112yes—
574C2×C4×C11C2×#4112yes—
575C2×C4×C11C2×#4112yes—
576C2×C4×C11C2×#4112yes—
577C2×C4×C11C2×#4112yes—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11C2×#4112yes—
619C2×Dic11C2×#4112yes—
620C2×Dic11C2×#4112yes—
621C2×Dic11C2×#4112yes—
622C2×Dic11C2×#4112yes—
623C4×D11—28no—
624C4×D11—28no—
625C4×D11—28no—
626C4×D11—28no—
627C4×D11—28no—
628C4×D11—44no—
629C4×D11—44no—
630C4×D11—44no—
631C4×D11—44no—
632C4×D11—44no—
633C4×D11—44no—
634C4×D11—44no—
635C4×D11—44no—
636C4×D11—44no—
637C4×D11—44no—
638C22×C4⋊C4—111no—
639C22×C4⋊C4—111no—
640C22×C4⋊C4—111no—
641C22×C4⋊C4—111no—
642C22×C4⋊C4—111no—
643C22×C4⋊C4—111no—
644C22×C4⋊C4—111no—
645C22×C4⋊C4—111no—
646C22×C4⋊C4—111no—
647C22×C4⋊C4—111no—
648C22×C42—111no—
649C22×C42—111no—
650C22×C42—111no—
651C22×C42—111no—
652C22×C42—111no—
653#401—111no—
654#401—111no—
655#401—111no—
656#401—111no—
657#401—111no—
658#401—111no—
659#401—111no—
660#401C2×D1111yescharacteristic
661#400—111no—
662#400—111no—
663#400—111no—
664#400—111no—
665#400—111no—
666#400—111no—
667#400—111no—
668#400—111no—
669#400—111no—
670#400—111no—
671#400—111no—
672#400—111no—
673#400—111no—
674#400—111no—
675#400C2×D1111yescharacteristic
676#400C2×D1111yescharacteristic
677#398—111no—
678#398—111no—
679#398—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#398C2×D1111yescharacteristic
685#389—111no—
686#389—111no—
687#389—111no—
688#389—111no—
689#389—111no—
690#389—111no—
691#389—111no—
692#389C2×D1111yescharacteristic
693#387—111no—
694#387—111no—
695#387—111no—
696#387—111no—
697#387—111no—
698#387—111no—
699#387—111no—
700#387—111no—
701#387—111no—
702#387—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387C2×D1111yescharacteristic
743#387C2×D1111yescharacteristic
744#387C2×D1111yescharacteristic
745#387C2×D1111yescharacteristic
746#387C2×D1111yescharacteristic
747#387C2×D1111yescharacteristic
748#387C2×D1111yescharacteristic
749#382—111no—
750#382—111no—
751#382—111no—
752#382—111no—
753#382—111no—
754#382—111no—
755#382—111no—
756#382C2×D1111yescharacteristic
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4C2×D1111yescharacteristic
765#376—111no—
766#376—111no—
767#376—111no—
768#376—111no—
769#376—111no—
770#376—111no—
771#376—111no—
772#376C2×D1111yescharacteristic
773C2×#95—111no—
774C2×#95—111no—
775C2×#95—111no—
776C2×#95—111no—
777C2×#95—111no—
778C2×#95—111no—
779C2×#95—111no—
780C2×#95—111no—
781C2×#95—111no—
782C2×#95—111no—
783C2×#95—111no—
784C2×#95—111no—
785C2×#95—111no—
786C2×#95—111no—
787C2×#95—111no—
788C2×#95—111no—
789C2×#95—111no—
790C2×#95—111no—
791C2×#95—111no—
792C2×#95—111no—
793C22×C11C22×#4111yescharacteristic
794C22×C11C22×#4111yescharacteristic
795C22×C11C22×#4111yescharacteristic
796C22×C11C22×#4111yescharacteristic
797C22×C11C22×#4111yescharacteristic
798C22×C11C2×2−1+411yescharacteristic
799C22×C11C2×2−1+411yescharacteristic
800C2×D11#52914yes—
801C2×D11#52914yes—
802C2×D11#54114yes—
803C2×D11#55214yes—
804C2×D11#55214yes—
805C2×D11#55214yes—
806C2×D11#55614yes—
807C4×C11—22no—
808C4×C11—22no—
809C4×C11—22no—
810C4×C11—22no—
811C4×C11—22no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822Dic11—22no—
823Dic11—22no—
824Dic11—22no—
825Dic11—22no—
826Dic11—22no—
827Dic11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837C23×C4—111no—
838C23×C4—111no—
839C23×C4—111no—
840C23×C4—111no—
841C23×C4—111no—
842C23×C4—111no—
843C23×C4—111no—
844C23×C4—111no—
845C23×C4—111no—
846C23×C4—111no—
847C23×C4—111no—
848C23×C4—111no—
849C23×C4—111no—
850C23×C4—111no—
851C23×C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—224no—
883C2×C4⋊C4—224no—
884C2×C4⋊C4—224no—
885C2×C4⋊C4—224no—
886C2×C4⋊C4—224no—
887C2×C4⋊C4—224no—
888C2×C4⋊C4—224no—
889C2×C4⋊C4—224no—
890C2×C4⋊C4—224no—
891C2×C4⋊C4—224no—
892C2×C4⋊C4C22×D1111yescharacteristic
893C2×C4⋊C4C22×D1111yescharacteristic
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C4⋊C4C22×D1111yescharacteristic
896C2×C4⋊C4C22×D1111yescharacteristic
897C2×C4⋊C4C22×D1111yescharacteristic
898C2×C4⋊C4C22×D1111yescharacteristic
899C2×C4⋊C4C22×D1111yescharacteristic
900C2×C4⋊C4C22×D1111yescharacteristic
901C2×C4⋊C4C22×D1111yescharacteristic
902C2×C42—111no—
903C2×C42—111no—
904C2×C42—111no—
905C2×C42—111no—
906C2×C42—111no—
907C2×C42—111no—
908C2×C42—111no—
909C2×C42—111no—
910C2×C42—111no—
911C2×C42—111no—
912C2×C42—111no—
913C2×C42—111no—
914C2×C42—111no—
915C2×C42—111no—
916C2×C42—111no—
917C2×C42—224no—
918C2×C42—224no—
919C2×C42—224no—
920C2×C42—224no—
921C2×C42—224no—
922C2×C42C22×D1111yescharacteristic
923C2×C42C22×D1111yescharacteristic
924C2×C42C22×D1111yescharacteristic
925C2×C42C22×D1111yescharacteristic
926C2×C42C22×D1111yescharacteristic
927#95—111no—
928#95—111no—
929#95—111no—
930#95—111no—
931#95—111no—
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000#95C22×D1111yescharacteristic
1001#95C22×D1111yescharacteristic
1002#95C22×D1111yescharacteristic
1003#95C22×D1111yescharacteristic
1004#95C22×D1111yescharacteristic
1005#95C22×D1111yescharacteristic
1006#95C22×D1111yescharacteristic
1007C2×C11C2×#52911yescharacteristic
1008C2×C11C2×#52911yescharacteristic
1009C2×C11C2×#54111yescharacteristic
1010C2×C11C2×#55211yescharacteristic
1011C2×C11C2×#55211yescharacteristic
1012C2×C11C2×#55211yescharacteristic
1013C2×C11C2×#55611yescharacteristic
1014D11#252818yesdirect product factor
1015C24—111no—
1016C22×C4—111no—
1017C22×C4—111no—
1018C22×C4—111no—
1019C22×C4—111no—
1020C22×C4—111no—
1021C22×C4—114no—
1022C22×C4—114no—
1023C22×C4—114no—
1024C22×C4—114no—
1025C22×C4—114no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—222no—
1037C22×C4—222no—
1038C22×C4—222no—
1039C22×C4—222no—
1040C22×C4—222no—
1041C22×C4—222no—
1042C22×C4—222no—
1043C22×C4—222no—
1044C22×C4—222no—
1045C22×C4—222no—
1046C22×C4—222no—
1047C22×C4—222no—
1048C22×C4—222no—
1049C22×C4—222no—
1050C22×C4—222no—
1051C22×C4—222no—
1052C22×C4—222no—
1053C22×C4—222no—
1054C22×C4—222no—
1055C22×C4—222no—
1056C22×C4—222no—
1057C22×C4—222no—
1058C22×C4—222no—
1059C22×C4—222no—
1060C22×C4—222no—
1061C22×C4—222no—
1062C22×C4—222no—
1063C22×C4—222no—
1064C22×C4—222no—
1065C22×C4—222no—
1066C22×C4—222no—
1067C22×C4—222no—
1068C22×C4—222no—
1069C22×C4—222no—
1070C22×C4—222no—
1071C22×C4—222no—
1072C22×C4—222no—
1073C22×C4—222no—
1074C22×C4—222no—
1075C22×C4—222no—
1076C22×C4C23×D1111yescharacteristic
1077C22×C4C23×D1111yescharacteristic
1078C22×C4C23×D1111yescharacteristic
1079C22×C4C23×D1111yescharacteristic
1080C22×C4C23×D1111yescharacteristic
1081C22×C4C23×D1111yescharacteristic
1082C22×C4C23×D1111yescharacteristic
1083C22×C4C23×D1111yescharacteristic
1084C22×C4C23×D1111yescharacteristic
1085C22×C4C23×D1111yescharacteristic
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1111yescharacteristic
1091C4⋊C4—22no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—222no—
1102C4⋊C4—222no—
1103C4⋊C4—222no—
1104C4⋊C4—222no—
1105C4⋊C4—222no—
1106C4⋊C4—222no—
1107C4⋊C4—222no—
1108C4⋊C4—222no—
1109C4⋊C4—222no—
1110C4⋊C4—222no—
1111C4⋊C4—222no—
1112C4⋊C4—222no—
1113C4⋊C4—222no—
1114C4⋊C4—222no—
1115C4⋊C4—222no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—222no—
1125C4⋊C4—222no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C42—22no—
1132C42—22no—
1133C42—22no—
1134C42—22no—
1135C42—22no—
1136C42—222no—
1137C42—222no—
1138C42—222no—
1139C42—222no—
1140C42—222no—
1141C42—222no—
1142C42—222no—
1143C42—222no—
1144C42—222no—
1145C42—222no—
1146C42—222no—
1147C42—222no—
1148C42—222no—
1149C42—222no—
1150C42—222no—
1151C11C2×#252811yescharacteristic, complemented, Sylow
1152C23—112no—
1153C23—112no—
1154C23—112no—
1155C23—112no—
1156C23—112no—
1157C23—112no—
1158C23—112no—
1159C23C24×D1111yescharacteristic
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—112no—
1201C2×C4—112no—
1202C2×C4—112no—
1203C2×C4—112no—
1204C2×C4—112no—
1205C2×C4—228no—
1206C2×C4—228no—
1207C2×C4—228no—
1208C2×C4—228no—
1209C2×C4—228no—
1210C2×C4—221no—
1211C2×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—444no—
1251C2×C4—444no—
1252C2×C4—444no—
1253C2×C4—444no—
1254C2×C4—444no—
1255C2×C4—444no—
1256C2×C4—444no—
1257C2×C4—444no—
1258C2×C4—444no—
1259C2×C4—444no—
1260C2×C4#41×D1112yes—
1261C2×C4#41×D1112yes—
1262C2×C4#41×D1112yes—
1263C2×C4#41×D1112yes—
1264C2×C4#41×D1112yes—
1265C22—114no—
1266C22—114no—
1267C22—114no—
1268C22—114no—
1269C22—114no—
1270C22—114no—
1271C22—114no—
1272C22C2×#41×D1111yescharacteristic
1273C22C2×#41×D1111yescharacteristic
1274C22C2×#41×D1111yescharacteristic
1275C22C2×#41×D1111yescharacteristic
1276C22C2×#41×D1111yescharacteristic
1277C22D11×2−1+411yescharacteristic
1278C22D11×2−1+411yescharacteristic
1279C4—22no—
1280C4—22no—
1281C4—22no—
1282C4—22no—
1283C4—22no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—222no—
1295C4—222no—
1296C4—222no—
1297C4—222no—
1298C4—222no—
1299C4—441no—
1300C4—441no—
1301C4—441no—
1302C4—441no—
1303C4—441no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4—441no—
1308C4—441no—
1309C2—118no—
1310C2D11×#52911yescharacteristic
1311C2D11×#52911yescharacteristic
1312C2D11×#54111yescharacteristic
1313C2D11×#55211yescharacteristic
1314C2D11×#55211yescharacteristic
1315C2D11×#55211yescharacteristic
1316C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2528C2
prime radicalC23×D11C24
hypercenter#2528D11
hypocenterC11C2×#2528
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2528

Complements

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

NH ≅ G/Ntype
1. #13073425C2semidirect
2. #13073424C2semidirect
3. #13073423C2semidirect
4. #13073422C2semidirect
5. #13073421C2semidirect
6. #13073420C2semidirect
7. #13073419C2semidirect
8. #13073418C2semidirect
9. #13073417C2semidirect
10. #13073416C2semidirect
11. #13073415C2semidirect
12. #13073414C2semidirect
13. #13073413C2semidirect
14. #13073412C2semidirect
15. #13073411C2semidirect
31. C11×#2528C2semidirect
509. #2528D11direct (N × H)
1014. D11#2528direct (N × H)
1151. C11C2×#2528semidirect

Maximal subgroups

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

subgroupindex
#130734252
#130734242
#130734232
#130734222
#130734212
#130734202
#130734192
#130734182
#130734172
#130734162
#130734152
#130734142
#130734132
#130734122
#130734112
D11×#4012
D11×#4002
D11×#3982
D11×#3892
D11×#3872
D11×#3822
C4×C4⋊C4×D112
D11×#3762
C11×#25282
C2×#252811