Finite Group Databasebeta

← #14961571

Subgroups — #14961571

Order 2816.

1496 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076951C211yesmaximal, characteristic, complemented
2#13076925C211yesmaximal, characteristic, complemented
3#13076584C211yesmaximal, characteristic, complemented
4#13076532C211yesmaximal, characteristic, complemented
5#13076395C211yesmaximal, characteristic, complemented
6#13076391C211yesmaximal, characteristic, complemented
7#13076381C211yesmaximal, characteristic, complemented
8#13076269C211yesmaximal, characteristic
9#13076259C211yesmaximal, characteristic
10#13076093C211yesmaximal, characteristic, complemented
11#13076092C211yesmaximal, characteristic, complemented
12#13075916C211yesmaximal, characteristic, complemented
13#13075826C211yesmaximal, characteristic
14#13075630C211yesmaximal, characteristic
15#13075564C211yesmaximal, characteristic, complemented
16#13075498C211yesmaximal, characteristic, complemented
17#13075271C211yesmaximal, characteristic, complemented
18#13074817C211yesmaximal, characteristic, complemented
19#13074815C211yesmaximal, characteristic, complemented
20#13074320C211yesmaximal, characteristic, complemented
21#13074282C211yesmaximal, characteristic, complemented
22#13074271C211yesmaximal, characteristic, complemented
23#13074269C211yesmaximal, characteristic, complemented
24#13073848C211yesmaximal, characteristic, complemented
25#13073842C211yesmaximal, characteristic, complemented
26#13072322C211yesmaximal, characteristic, complemented
27#13072298C211yesmaximal, characteristic, complemented
28#13071257C211yesmaximal, characteristic
29#13071244C211yesmaximal, characteristic
30#13071058C211yesmaximal, characteristic
31C11×#2768C211yesmaximal, characteristic, complemented
32C2×#66949C2211yescharacteristic
33C2×#66943C2211yescharacteristic
34C2×#66942C2211yescharacteristic
35C2×(C22⋊D11)⋊C4C2211yescharacteristic
36C2×#66931C2211yescharacteristic
37C2×#66930C2211yescharacteristic
38C2×C42×D11C2211yescharacteristic
39C11×#399C2211yescharacteristic
40C11×#398C2211yescharacteristic
41C11×#398C2211yescharacteristic
42C11×#398C2211yescharacteristic
43C11×#398C2211yescharacteristic
44C11×#396C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#388C2211yescharacteristic
48C11×#388C2211yescharacteristic
49C11×#387C2211yescharacteristic
50C11×#385C2211yescharacteristic
51C11×#385C2211yescharacteristic
52C11×#382C2211yescharacteristic
53C11×#380C2211yescharacteristic
54#10622826C2211yescharacteristic
55#10622825C2211yescharacteristic
56#10622823C2211yescharacteristic
57C2×C11⋊#95C2211yescharacteristic
58#10622607C2211yescharacteristic
59#10622607C2211yescharacteristic
60#10622607C2211yescharacteristic
61#10622605C2211yescharacteristic
62#10622605C2211yescharacteristic
63#10622605C2211yescharacteristic
64#10622603C2211yescharacteristic
65#10622602C2211yescharacteristic
66#10622602C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622600C2211yescharacteristic
70#10622600C2211yescharacteristic
71#10622598C2211yescharacteristic
72#10622598C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622596C2211yescharacteristic
80#10622596C2211yescharacteristic
81#10622596C2211yescharacteristic
82#10622595C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622593C2211yescharacteristic
89#10622592C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622590C2211yescharacteristic
95#10622590C2211yescharacteristic
96#10622589C2211yescharacteristic
97#10622589C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99#10622587C2211yescharacteristic
100#10622586C2211yescharacteristic
101#10622586C2211yescharacteristic
102#10622586C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622563C2211yescharacteristic
119#10622562C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622559C2211yescharacteristic
127#10622556C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136#10622541C2211yescharacteristic
137#10622541C2211yescharacteristic
138#10622541C2211yescharacteristic
139#10622290C2211yescharacteristic
140#10622289C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622277C2211yescharacteristic
150#10622277C2211yescharacteristic
151#10622274C2211yescharacteristic
152#10622274C2211yescharacteristic
153#10622273C2211yescharacteristic
154#10622271C2211yescharacteristic
155#10622271C2211yescharacteristic
156#10622271C2211yescharacteristic
157#10622271C2211yescharacteristic
158#10622270C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622270C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622270C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622264C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286#66949—42no—
287#66943—42no—
288#66942—42no—
289(C22⋊D11)⋊C4Q818yescomplemented
290#66931—42no—
291#66930—42no—
292C42×D11—42no—
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
349#36756—111nomaximal, Sylow
350C24×C11C2411yescharacteristic
351C23×D11C2411yescharacteristic
352C22×C4×C11—41no—
353C22×C4×C11—41no—
354C22×C4×C11—41no—
355C22×C4×C11C2411yescharacteristic
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
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
369C2×C22⋊D11—41no—
370C2×C22⋊D11—41no—
371C2×C22⋊D11C2×Q814yes—
372C22×Dic11—41no—
373C22×Dic11—41no—
374C22×Dic11—41no—
375C22×Dic11—41no—
376C22×Dic11—41no—
377C22×Dic11C2×Q814yes—
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C2×C4×D11—22no—
394C2×C4×D11—41no—
395C2×C4×D11—41no—
396C2×C4×D11—41no—
397C2×C4×D11—41no—
398C2×C4×D11—41no—
399C2×C4×D11—41no—
400C2×C4×D11—41no—
401C2×C4×D11C2×Q814yes—
402C2×Dic22—22no—
403C2×Dic22—41no—
404C2×Dic22—41no—
405C11×C4⋊C4—41no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C11×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C4⋊C4—41no—
415C11×C4⋊C4—41no—
416C11×C4⋊C4—41no—
417C11×C4⋊C4—41no—
418C11×C4⋊C4—41no—
419C11×C22⋊C4—41no—
420C11×C22⋊C4—41no—
421C11×C22⋊C4—41no—
422C11×C22⋊C4—41no—
423C11×C22⋊C4—41no—
424C11×C22⋊C4C2×Q814yes—
425C42×C11—41no—
426C42×C11—41no—
427C22⋊Dic11—22no—
428C22⋊Dic11—41no—
429C22⋊Dic11—41no—
430C22⋊Dic11—41no—
431C22⋊Dic11—41no—
432(C2×D11)⋊C4—41no—
433(C2×D11)⋊C4—41no—
434(C2×D11)⋊C4—41no—
435(C2×D11)⋊C4—41no—
436(C2×D11)⋊C4—41no—
437(C2×D11)⋊C4—41no—
438(C2×D11)⋊C4—41no—
439(C2×D11)⋊C4—41no—
440(C2×D11)⋊C4—41no—
441(C2×D11)⋊C4—41no—
442(C2×D11)⋊C4C2×Q814yes—
443C4⋊Dic11—22no—
444C4⋊Dic11—22no—
445C4⋊Dic11—41no—
446C4⋊Dic11—41no—
447C4⋊Dic11—41no—
448C4⋊Dic11—41no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456Dic11⋊C4—22no—
457Dic11⋊C4—22no—
458Dic11⋊C4—41no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
462Dic11⋊C4—41no—
463Dic11⋊C4—41no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474Dic11⋊C4—41no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4C2×Q814yes—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—41no—
488C4×Dic11—41no—
489C4×Dic11—41no—
490C4×Dic11—41no—
491C4×Dic11—41no—
492C4×Dic11—41no—
493C4×Dic11—41no—
494C4×Dic11—41no—
495C4×Dic11C2×Q814yes—
496#2855—111no—
497#2851—111no—
498#2807—111no—
499#2802—111no—
500#2791—111no—
501#2790—111no—
502#2790—111no—
503#2780—111no—
504#2780—111no—
505#2768—111no—
506#2768—111no—
507#2768D1111yescharacteristic, complemented
508#2755—111no—
509#2748—111no—
510#2732—111no—
511#2726—111no—
512#2720—111no—
513#2704—111no—
514#2667—111no—
515#2667—111no—
516#2612—111no—
517#2608—111no—
518#2606—111no—
519#2606—111no—
520#2570—111no—
521#2569—111no—
522#2441—111no—
523#2438—111no—
524#2319—111no—
525#2318—111no—
526#2290—111no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11—21no—
532C23×C11—21no—
533C23×C11C22×Q812yes—
534C23×C11C2511yescharacteristic
535C22×D11—21no—
536C22×D11—21no—
537C22×D11—21no—
538C22×D11—21no—
539C22×D11—21no—
540C22×D11—21no—
541C22×D11C22×Q812yes—
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×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—82no—
583C2×C4×C11C22×Q812yes—
584C2×C4×C11C22×Q812yes—
585C22⋊D11—44no—
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×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—44no—
628C2×Dic11—82no—
629C2×Dic11C22×Q812yes—
630C2×Dic11C22×Q812yes—
631C2×Dic11C22×Q812yes—
632C2×Dic11H(5,𝔽2)12yes—
633C4×D11—44no—
634C4×D11—44no—
635C4×D11—44no—
636Dic22—82no—
637C2×#125—111no—
638C2×#125—111no—
639C2×C22⋊Q8—111no—
640C2×C22⋊Q8—111no—
641C2×C4×D4—111no—
642C2×#117—111no—
643C22×C42—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#399—111no—
651#399—111no—
652#399—111no—
653#399—111no—
654#399—111no—
655#399C2×D1111yescharacteristic
656#398—111no—
657#398—111no—
658#398—111no—
659#398—111no—
660#398—111no—
661#398—111no—
662#398—111no—
663#398—111no—
664#398—111no—
665#398—111no—
666#398—111no—
667#398—111no—
668#398—111no—
669#398—111no—
670#398—111no—
671#398—111no—
672#398—111no—
673#398—111no—
674#398—111no—
675#398—111no—
676#398C2×D1111yescharacteristic
677#398C2×D1111yescharacteristic
678#398C2×D1111yescharacteristic
679#398C2×D1111yescharacteristic
680#396—111no—
681#396—111no—
682#396—111no—
683#396—111no—
684#396—111no—
685#396—111no—
686#396—111no—
687#396—111no—
688#396—111no—
689#396C2×D1111yescharacteristic
690#395—111no—
691#395—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#390—111no—
696#390—111no—
697#389—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389C2×D1111yescharacteristic
717#389C2×D1111yescharacteristic
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388C2×D1111yescharacteristic
725#388C2×D1111yescharacteristic
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#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387C2×D1111yescharacteristic
750#386—111no—
751#386—111no—
752#386—111no—
753#386—111no—
754#385—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385—111no—
759#385—111no—
760#385—111no—
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385C2×D1111yescharacteristic
767#385C2×D1111yescharacteristic
768#384—111no—
769#384—111no—
770#383—111no—
771#382—111no—
772#382—111no—
773#382C2×D1111yescharacteristic
774#381—111no—
775#381—111no—
776#381—111no—
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781#380—111no—
782#380—111no—
783#380C2×D1111yescharacteristic
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788C4×C22⋊C4—111no—
789#376—111no—
790#376—111no—
791C2×#95—111no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—22no—
795C22×C11—41no—
796C22×C11—41no—
797C22×C11—41no—
798C22×C11—41no—
799C22×C11C23×Q811yescharacteristic
800C22×C11C2×H(5,𝔽2)11yescharacteristic
801C22×C11#58511yescharacteristic
802C22×C11#58511yescharacteristic
803C22×C11#58511yescharacteristic
804C22×C11#58511yescharacteristic
805C22×C11#58511yescharacteristic
806C2×D11—22no—
807C2×D11—22no—
808C2×D11—22no—
809C2×D11—41no—
810C2×D11—41no—
811C2×D11—41no—
812C2×D11—41no—
813C4×C11—22no—
814C4×C11—22no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826C4×C11—41no—
827Dic11—22no—
828Dic11—22no—
829Dic11—22no—
830Dic11—22no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840Dic11—41no—
841Dic11—41no—
842C22×Q8—111no—
843C22×D4—111no—
844C23×C4—111no—
845C23×C4—111no—
846C23×C4—111no—
847C23×C4—111no—
848C23×C4—111no—
849C23×C4C22×D1111yescharacteristic
850#125—442no—
851#125—442no—
852C22⋊Q8—442no—
853C22⋊Q8—442no—
854C4×D4—118no—
855#117—442no—
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—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4C22×D1111yescharacteristic
899C2×C4⋊C4C22×D1111yescharacteristic
900C2×C4⋊C4C22×D1111yescharacteristic
901C2×C4⋊C4C22×D1111yescharacteristic
902C2×C4⋊C4C22×D1111yescharacteristic
903C2×C4⋊C4C22×D1111yescharacteristic
904C2×C4⋊C4C22×D1111yescharacteristic
905C2×C4⋊C4C22×D1111yescharacteristic
906C2×C4⋊C4C22×D1111yescharacteristic
907C2×C4⋊C4C22×D1111yescharacteristic
908C2×C4⋊C4C22×D1111yescharacteristic
909C2×C4⋊C4C22×D1111yescharacteristic
910C2×C4⋊C4C22×D1111yescharacteristic
911C2×C4⋊C4C22×D1111yescharacteristic
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—111no—
920C2×C22⋊C4—111no—
921C2×C22⋊C4—111no—
922C2×C22⋊C4—111no—
923C2×C22⋊C4—111no—
924C2×C22⋊C4—111no—
925C2×C22⋊C4—111no—
926C2×C22⋊C4—111no—
927C2×C22⋊C4—111no—
928C2×C22⋊C4C22×D1111yescharacteristic
929C2×C22⋊C4C22×D1111yescharacteristic
930C2×C22⋊C4C22×D1111yescharacteristic
931C2×C22⋊C4C22×D1111yescharacteristic
932C2×C22⋊C4C22×D1111yescharacteristic
933C2×C22⋊C4C22×D1111yescharacteristic
934C2×C42—111no—
935C2×C42—111no—
936C2×C42—111no—
937C2×C42—111no—
938C2×C42—111no—
939C2×C42—111no—
940C2×C42—111no—
941C2×C42—111no—
942C2×C42—111no—
943C2×C42—111no—
944C2×C42—111no—
945C2×C42—442no—
946C2×C42C22×D1111yescharacteristic
947C2×C42C22×D1111yescharacteristic
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#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
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
1004C2×C11—42no—
1005C2×C11#345811yescharacteristic
1006C2×C11#350111yescharacteristic
1007C2×C11#350411yescharacteristic
1008C2×C11#353311yescharacteristic
1009C2×C11#353911yescharacteristic
1010C2×C11#356611yescharacteristic
1011C2×C11#356711yescharacteristic
1012D11—42no—
1013C24—111no—
1014C24C23×D1111yescharacteristic
1015C2×Q8—222no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×D4—114no—
1019C2×D4—441no—
1020C2×D4—441no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—111no—
1025C22×C4—111no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—114no—
1029C22×C4—114no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—222no—
1042C22×C4—441no—
1043C22×C4—441no—
1044C22×C4—441no—
1045C22×C4—441no—
1046C22×C4—441no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4—441no—
1050C22×C4—441no—
1051C22×C4—441no—
1052C22×C4—441no—
1053C22×C4—441no—
1054C22×C4C23×D1111yescharacteristic
1055C22×C4C23×D1111yescharacteristic
1056C22×C4C23×D1111yescharacteristic
1057C22×C4C23×D1111yescharacteristic
1058C22×C4C23×D1111yescharacteristic
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C22×C4C23×D1111yescharacteristic
1065C22×C4C23×D1111yescharacteristic
1066C22×C4C23×D1111yescharacteristic
1067C22×C4C23×D1111yescharacteristic
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—41no—
1081C4⋊C4—41no—
1082C4⋊C4—114no—
1083C4⋊C4—222no—
1084C4⋊C4—222no—
1085C4⋊C4—222no—
1086C4⋊C4—222no—
1087C4⋊C4—441no—
1088C4⋊C4—441no—
1089C4⋊C4—441no—
1090C4⋊C4—441no—
1091C4⋊C4—441no—
1092C4⋊C4—441no—
1093C4⋊C4—441no—
1094C4⋊C4—441no—
1095C4⋊C4—441no—
1096C4⋊C4—441no—
1097C4⋊C4—441no—
1098C4⋊C4—441no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C4⋊C4—441no—
1103C4⋊C4—441no—
1104C4⋊C4—441no—
1105C4⋊C4—441no—
1106C4⋊C4—441no—
1107C4⋊C4—441no—
1108C4⋊C4—441no—
1109C4⋊C4—441no—
1110C4⋊C4—441no—
1111C4⋊C4—441no—
1112C4⋊C4—441no—
1113C4⋊C4—441no—
1114C4⋊C4—441no—
1115C4⋊C4—441no—
1116C4⋊C4—441no—
1117C4⋊C4—441no—
1118C4⋊C4—441no—
1119C4⋊C4—441no—
1120C4⋊C4—441no—
1121C4⋊C4—441no—
1122C4⋊C4—441no—
1123C4⋊C4—441no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—114no—
1130C22⋊C4—222no—
1131C22⋊C4—441no—
1132C22⋊C4—441no—
1133C22⋊C4—441no—
1134C22⋊C4—441no—
1135C22⋊C4—441no—
1136C22⋊C4—441no—
1137C22⋊C4—441no—
1138C22⋊C4—441no—
1139C22⋊C4—441no—
1140C22⋊C4—441no—
1141C22⋊C4—441no—
1142C22⋊C4—441no—
1143C22⋊C4—441no—
1144C22⋊C4—441no—
1145C22⋊C4Q8×D1114yes—
1146C42—41no—
1147C42—41no—
1148C42—114no—
1149C42—222no—
1150C42—222no—
1151C42—441no—
1152C42—441no—
1153C42—441no—
1154C42—441no—
1155C42—441no—
1156C42—441no—
1157C42—441no—
1158C42—441no—
1159C11#3675611yescharacteristic, complemented, Sylow
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—112no—
1167C23—221no—
1168C23—221no—
1169C23—221no—
1170C23—221no—
1171C23—221no—
1172C23—221no—
1173C23C2×Q8×D1112yes—
1174C23C24×D1111yescharacteristic
1175Q8—882no—
1176D4—444no—
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—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—82no—
1218C2×C4—112no—
1219C2×C4—112no—
1220C2×C4—112no—
1221C2×C4—112no—
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—221no—
1251C2×C4—221no—
1252C2×C4—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—221no—
1263C2×C4—444no—
1264C2×C4—444no—
1265C2×C4—444no—
1266C2×C4—444no—
1267C2×C4—882no—
1268C2×C4C2×Q8×D1112yes—
1269C2×C4C2×Q8×D1112yes—
1270C22—22no—
1271C22—22no—
1272C22—22no—
1273C22—41no—
1274C22—41no—
1275C22—41no—
1276C22—41no—
1277C22—222no—
1278C22—222no—
1279C22—222no—
1280C22—441no—
1281C22—441no—
1282C22—441no—
1283C22—441no—
1284C22C22×Q8×D1111yescharacteristic
1285C22#1062345311yescharacteristic
1286C22#1062345311yescharacteristic
1287C22D11×H(5,𝔽2)11yescharacteristic
1288C22#1062345511yescharacteristic
1289C22#1062345511yescharacteristic
1290C22#1062345711yescharacteristic
1291C4—22no—
1292C4—22no—
1293C4—41no—
1294C4—41no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—222no—
1306C4—222no—
1307C4—222no—
1308C4—222no—
1309C4—441no—
1310C4—441no—
1311C4—441no—
1312C4—441no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C4—441no—
1317C4—441no—
1318C4—441no—
1319C4—441no—
1320C2—42no—
1321C2—442no—
1322C2#1308202011yescharacteristic
1323C2#1308241511yescharacteristic
1324C2#1308243611yescharacteristic
1325C2#1308277811yescharacteristic
1326C2#1308286811yescharacteristic
1327C2#1308327111yescharacteristic
1328C2#1308330511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2768C2
prime radicalC22×C22⋊D11C23
hypercenter#2768D11
hypocenterC11#36756
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2768

Complements

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

NH ≅ G/Ntype
1. #13076951C2semidirect
2. #13076925C2semidirect
3. #13076584C2semidirect
4. #13076532C2semidirect
5. #13076395C2semidirect
6. #13076391C2semidirect
7. #13076381C2semidirect
10. #13076093C2semidirect
11. #13076092C2semidirect
12. #13075916C2semidirect
15. #13075564C2semidirect
16. #13075498C2semidirect
17. #13075271C2semidirect
18. #13074817C2semidirect
19. #13074815C2semidirect
20. #13074320C2semidirect
21. #13074282C2semidirect
22. #13074271C2semidirect
23. #13074269C2semidirect
24. #13073848C2semidirect
25. #13073842C2semidirect
26. #13072322C2semidirect
27. #13072298C2semidirect
31. C11×#2768C2semidirect
289. (C22⋊D11)⋊C4Q8semidirect
507. #2768D11semidirect
1159. C11#36756semidirect

Maximal subgroups

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

subgroupindex
#130769512
#130769252
#130765842
#130765322
#130763952
#130763912
#130763812
#130762692
#130762592
#130760932
#130760922
#130759162
#130758262
#130756302
#130755642
#130754982
#130752712
#130748172
#130748152
#130743202
#130742822
#130742712
#130742692
#130738482
#130738422
#130723222
#130722982
#130712572
#130712442
#130710582
C11×#27682
#3675611