Finite Group Databasebeta

← #14967887

Subgroups — #14967887

Order 2816.

1410 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076954C211yesmaximal, characteristic, complemented
2#13076936C211yesmaximal, characteristic
3#13076174C211yesmaximal, characteristic, complemented
4#13076054C211yesmaximal, characteristic, complemented
5#13076035C211yesmaximal, characteristic, complemented
6#13076032C211yesmaximal, characteristic, complemented
7#13076014C211yesmaximal, characteristic, complemented
8#13075981C211yesmaximal, characteristic, complemented
9#13075974C211yesmaximal, characteristic, complemented
10#13075969C211yesmaximal, characteristic, complemented
11#13075876C211yesmaximal, characteristic
12#13075849C211yesmaximal, characteristic
13#13075788C211yesmaximal, characteristic, complemented
14#13075762C211yesmaximal, characteristic
15#13075696C211yesmaximal, characteristic, complemented
16#13075692C211yesmaximal, characteristic, complemented
17#13075670C211yesmaximal, characteristic
18#13074793C211yesmaximal, characteristic, complemented
19#13074769C211yesmaximal, characteristic
20#13074153C211yesmaximal, characteristic, complemented
21#13074048C211yesmaximal, characteristic, complemented
22#13074048C211yesmaximal, characteristic, complemented
23#13073936C211yesmaximal, characteristic, complemented
24#13073499C211yesmaximal, characteristic, complemented
25#13073476C211yesmaximal, characteristic, complemented
26#13073413C211yesmaximal, characteristic, complemented
27#13073404C211yesmaximal, characteristic, complemented
28#13071413C211yesmaximal, characteristic
29#13071368C211yesmaximal, characteristic, complemented
30#13071009C211yesmaximal, characteristic, complemented
31C11×#2773C211yesmaximal, characteristic, complemented
32C2×#66950C2211yescharacteristic
33C2×#66936C2211yescharacteristic
34C2×C42×D11C2211yescharacteristic
35C11×#400C2211yescharacteristic
36C11×#399C2211yescharacteristic
37C11×#399C2211yescharacteristic
38C11×#398C2211yescharacteristic
39C11×#397C2211yescharacteristic
40C11×#397C2211yescharacteristic
41C11×#389C2211yescharacteristic
42C11×#389C2211yescharacteristic
43C11×#388C2211yescharacteristic
44C11×#388C2211yescharacteristic
45C11×#388C2211yescharacteristic
46C11×#387C2211yescharacteristic
47C11×#387C2211yescharacteristic
48C11×#387C2211yescharacteristic
49C11×#382C2211yescharacteristic
50#10622607C2211yescharacteristic
51#10622606C2211yescharacteristic
52#10622606C2211yescharacteristic
53#10622603C2211yescharacteristic
54#10622602C2211yescharacteristic
55#10622602C2211yescharacteristic
56#10622602C2211yescharacteristic
57#10622600C2211yescharacteristic
58#10622600C2211yescharacteristic
59#10622600C2211yescharacteristic
60#10622599C2211yescharacteristic
61#10622599C2211yescharacteristic
62#10622599C2211yescharacteristic
63#10622599C2211yescharacteristic
64#10622598C2211yescharacteristic
65#10622598C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622597C2211yescharacteristic
68#10622596C2211yescharacteristic
69#10622595C2211yescharacteristic
70#10622595C2211yescharacteristic
71#10622595C2211yescharacteristic
72#10622595C2211yescharacteristic
73#10622594C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622593C2211yescharacteristic
80#10622592C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622590C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89#10622587C2211yescharacteristic
90#10622587C2211yescharacteristic
91#10622586C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622571C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622566C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622560C2211yescharacteristic
109#10622560C2211yescharacteristic
110#10622560C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622556C2211yescharacteristic
118#10622555C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622549C2211yescharacteristic
123C4×C4⋊Dic11C2211yescharacteristic
124C4×C4⋊Dic11C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622542C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622289C2211yescharacteristic
132#10622286C2211yescharacteristic
133#10622286C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622277C2211yescharacteristic
141#10622277C2211yescharacteristic
142#10622277C2211yescharacteristic
143#10622277C2211yescharacteristic
144#10622277C2211yescharacteristic
145C11⋊#401C2211yescharacteristic
146C11⋊#401C2211yescharacteristic
147#10622273C2211yescharacteristic
148#10622273C2211yescharacteristic
149#10622273C2211yescharacteristic
150#10622273C2211yescharacteristic
151#10622273C2211yescharacteristic
152#10622273C2211yescharacteristic
153#10622273C2211yescharacteristic
154#10622272C2211yescharacteristic
155#10622272C2211yescharacteristic
156#10622269C2211yescharacteristic
157#10622269C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622269C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622268C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622264C2211yescharacteristic
177#10622264C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×C22⋊D11C2311yescharacteristic
188C23×Dic11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C22×Dic22C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270#66950—24no—
271#66936—24no—
272C42×D11—24no—
273C11×#95C2311yescharacteristic
274C11×#95C2311yescharacteristic
275C11×#95C2311yescharacteristic
276C11×#95C2311yescharacteristic
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
345#36984—111nomaximal, Sylow
346C24×C11C2411yescharacteristic
347C23×D11C2411yescharacteristic
348C22×C4×C11C2411yescharacteristic
349C22×C4×C11C2411yescharacteristic
350C22×C4×C11C2411yescharacteristic
351C22×C4×C11C2411yescharacteristic
352C22×C4×C11C2411yescharacteristic
353C22×C4×C11C2411yescharacteristic
354C22×C4×C11C2411yescharacteristic
355C22×C4×C11C2411yescharacteristic
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C2×C22⋊D11—22no—
363C2×C22⋊D11—41no—
364C2×C22⋊D11—41no—
365C22×Dic11—41no—
366C22×Dic11—41no—
367C22×Dic11—41no—
368C22×Dic11C2411yescharacteristic
369C22×Dic11C2411yescharacteristic
370C22×Dic11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C2×C4×D11—22no—
384C2×C4×D11—22no—
385C2×C4×D11—22no—
386C2×C4×D11—41no—
387C2×C4×D11—41no—
388C2×C4×D11—41no—
389C2×C4×D11—41no—
390C2×C4×D11—41no—
391C2×C4×D11#4114yes—
392C2×Dic22—22no—
393C2×Dic22—41no—
394C2×Dic22—41no—
395C2×Dic22—41no—
396C2×Dic22—41no—
397C2×Dic22—41no—
398C2×Dic22—41no—
399C2×Dic22—41no—
400C2×Dic22—41no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4—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×C22⋊C4—22no—
413C11×C22⋊C4—22no—
414C11×C22⋊C4—41no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4—41no—
417C11×C22⋊C4—41no—
418C11×C22⋊C4—41no—
419C42×C11—22no—
420C42×C11—41no—
421C42×C11—41no—
422C22⋊Dic11—22no—
423C22⋊Dic11—41no—
424C22⋊Dic11—41no—
425C22⋊Dic11—41no—
426C22⋊Dic11—41no—
427C22⋊Dic11—41no—
428(C2×D11)⋊C4—22no—
429(C2×D11)⋊C4—22no—
430(C2×D11)⋊C4—22no—
431(C2×D11)⋊C4—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—
439C4⋊Dic11—22no—
440C4⋊Dic11—22no—
441C4⋊Dic11—22no—
442C4⋊Dic11—41no—
443C4⋊Dic11—41no—
444C4⋊Dic11—41no—
445C4⋊Dic11—41no—
446C4⋊Dic11—41no—
447C4⋊Dic11—41no—
448C4⋊Dic11—41no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451Dic11⋊C4—22no—
452Dic11⋊C4—22no—
453Dic11⋊C4—41no—
454Dic11⋊C4—41no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457Dic11⋊C4—41no—
458Dic11⋊C4—41no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
462Dic11⋊C4—41no—
463Dic11⋊C4—41no—
464C4×Dic11—22no—
465C4×Dic11—22no—
466C4×Dic11—22no—
467C4×Dic11—41no—
468C4×Dic11—41no—
469C4×Dic11—41no—
470C4×Dic11—41no—
471C4×Dic11—41no—
472C4×Dic11—41no—
473C4×Dic11—41no—
474C4×Dic11—41no—
475C4×Dic11—41no—
476#2855—111no—
477#2853—111no—
478#2774—111no—
479#2773D1111yescharacteristic, complemented
480#2765—111no—
481#2764—111no—
482#2763—111no—
483#2762—111no—
484#2759—111no—
485#2758—111no—
486#2758—111no—
487#2751—111no—
488#2750—111no—
489#2745—111no—
490#2743—111no—
491#2739—111no—
492#2738—111no—
493#2737—111no—
494#2665—111no—
495#2663—111no—
496#2596—111no—
497#2588—111no—
498#2588—111no—
499#2577—111no—
500#2533—111no—
501#2532—111no—
502#2528—111no—
503#2527—111no—
504#2335—111no—
505#2332—111no—
506#2283—111no—
507C23×C11—21no—
508C23×C11—21no—
509C23×C11—21no—
510C23×C11—21no—
511C23×C11—21no—
512C23×C11—21no—
513C23×C11—21no—
514C23×C11C2511yescharacteristic
515C22×D11—21no—
516C22×D11—21no—
517C22×D11—21no—
518C22×D11—21no—
519C22×D11—21no—
520C22×D11—21no—
521C22×D11C2×#4112yes—
522C2×C4×C11—21no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
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×C11C2×#4112yes—
563C2×C4×C112−1+412yes—
564C22⋊D11—82no—
565C2×Dic11—21no—
566C2×Dic11—21no—
567C2×Dic11—21no—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—21no—
576C2×Dic11—21no—
577C2×Dic11—21no—
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—82no—
610C2×Dic11C2×#4112yes—
611C4×D11—44no—
612C4×D11—44no—
613C4×D11—44no—
614Dic22—82no—
615Dic22—82no—
616Dic22—82no—
617C2×#123—111no—
618C2×C22⋊Q8—111no—
619C22×C42—111no—
620#401—111no—
621#401—111no—
622#400—111no—
623#400—111no—
624#400—111no—
625#400—111no—
626#400—111no—
627#400—111no—
628#400—111no—
629#400—111no—
630#400—111no—
631#400—111no—
632#400—111no—
633#400—111no—
634#400—111no—
635#400—111no—
636#400—111no—
637#400—111no—
638#400—111no—
639#400C2×D1111yescharacteristic
640#399C2×D1111yescharacteristic
641#399C2×D1111yescharacteristic
642#398—111no—
643#398—111no—
644#398—111no—
645#398—111no—
646#398C2×D1111yescharacteristic
647#397—111no—
648#397—111no—
649#397—111no—
650#397—111no—
651#397—111no—
652#397C2×D1111yescharacteristic
653#397C2×D1111yescharacteristic
654#396—111no—
655#396—111no—
656#395—111no—
657#395—111no—
658#395—111no—
659#395—111no—
660#395—111no—
661#394—111no—
662#394—111no—
663#393—111no—
664#393—111no—
665#393—111no—
666#393—111no—
667#393—111no—
668#391—111no—
669#391—111no—
670#391—111no—
671#391—111no—
672#391—111no—
673#391—111no—
674#391—111no—
675#391—111no—
676#391—111no—
677#391—111no—
678#390—111no—
679#389—111no—
680#389—111no—
681#389—111no—
682#389—111no—
683#389—111no—
684#389C2×D1111yescharacteristic
685#389C2×D1111yescharacteristic
686#388—111no—
687#388—111no—
688#388—111no—
689#388—111no—
690#388—111no—
691#388—111no—
692#388—111no—
693#388—111no—
694#388—111no—
695#388—111no—
696#388—111no—
697#388—111no—
698#388—111no—
699#388—111no—
700#388—111no—
701#388C2×D1111yescharacteristic
702#388C2×D1111yescharacteristic
703#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
732#387C2×D1111yescharacteristic
733#387C2×D1111yescharacteristic
734#386—111no—
735#386—111no—
736#386—111no—
737#385—111no—
738#385—111no—
739#385—111no—
740#385—111no—
741#385—111no—
742#385—111no—
743#385—111no—
744#383—111no—
745#383—111no—
746#383—111no—
747#383—111no—
748#383—111no—
749#382—111no—
750#382—111no—
751#382C2×D1111yescharacteristic
752#381—111no—
753#381—111no—
754#381—111no—
755#381—111no—
756#381—111no—
757#381—111no—
758#380—111no—
759#380—111no—
760#380—111no—
761#380—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C22⋊C4—111no—
768C4×C22⋊C4—111no—
769C4×C22⋊C4—111no—
770#376—111no—
771#376—111no—
772C22×C11—41no—
773C22×C11—41no—
774C22×C11—41no—
775C22×C11—41no—
776C22×C11—41no—
777C22×C11—41no—
778C22×C11—41no—
779C22×C11C22×#4111yescharacteristic
780C22×C11C2×2−1+411yescharacteristic
781C22×C11#58511yescharacteristic
782C22×C11#58511yescharacteristic
783C22×C11#58511yescharacteristic
784C22×C11#58511yescharacteristic
785C22×C11#58511yescharacteristic
786C2×D11—22no—
787C2×D11—22no—
788C2×D11—22no—
789C2×D11—41no—
790C2×D11—41no—
791C2×D11—41no—
792C2×D11—41no—
793C4×C11—22no—
794C4×C11—22no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11—41no—
798C4×C11—41no—
799C4×C11—41no—
800C4×C11—41no—
801C4×C11—41no—
802C4×C11—41no—
803C4×C11—41no—
804C4×C11—41no—
805C4×C11—41no—
806C4×C11—41no—
807Dic11—22no—
808Dic11—41no—
809Dic11—41no—
810Dic11—41no—
811Dic11—41no—
812Dic11—41no—
813Dic11—41no—
814Dic11—41no—
815Dic11—41no—
816Dic11—41no—
817Dic11—41no—
818Dic11—41no—
819Dic11—41no—
820Dic11—41no—
821Dic11—41no—
822C22×Q8—111no—
823C22×Q8—111no—
824C22×Q8—111no—
825C22×D4—111no—
826C23×C4—111no—
827C23×C4—111no—
828C23×C4—111no—
829C23×C4—111no—
830#123—224no—
831C22⋊Q8—224no—
832C2×C4⋊C4—111no—
833C2×C4⋊C4—111no—
834C2×C4⋊C4—111no—
835C2×C4⋊C4—111no—
836C2×C4⋊C4—111no—
837C2×C4⋊C4—111no—
838C2×C4⋊C4—111no—
839C2×C4⋊C4—111no—
840C2×C4⋊C4—111no—
841C2×C4⋊C4—111no—
842C2×C4⋊C4—111no—
843C2×C4⋊C4—111no—
844C2×C4⋊C4—111no—
845C2×C4⋊C4—111no—
846C2×C4⋊C4—111no—
847C2×C4⋊C4—111no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4C22×D1111yescharacteristic
858C2×C4⋊C4C22×D1111yescharacteristic
859C2×C4⋊C4C22×D1111yescharacteristic
860C2×C4⋊C4C22×D1111yescharacteristic
861C2×C4⋊C4C22×D1111yescharacteristic
862C2×C4⋊C4C22×D1111yescharacteristic
863C2×C4⋊C4C22×D1111yescharacteristic
864C2×C4⋊C4C22×D1111yescharacteristic
865C2×C4⋊C4C22×D1111yescharacteristic
866C2×C4⋊C4C22×D1111yescharacteristic
867C2×C4⋊C4C22×D1111yescharacteristic
868C2×C22⋊C4—111no—
869C2×C22⋊C4—111no—
870C2×C22⋊C4—111no—
871C2×C22⋊C4—111no—
872C2×C22⋊C4—111no—
873C2×C22⋊C4—111no—
874C2×C22⋊C4—111no—
875C2×C22⋊C4—111no—
876C2×C22⋊C4—111no—
877C2×C22⋊C4—111no—
878C2×C22⋊C4—111no—
879C2×C22⋊C4—111no—
880C2×C22⋊C4—111no—
881C2×C22⋊C4—111no—
882C2×C22⋊C4—111no—
883C2×C22⋊C4—111no—
884C2×C22⋊C4—111no—
885C2×C22⋊C4C22×D1111yescharacteristic
886C2×C22⋊C4C22×D1111yescharacteristic
887C2×C22⋊C4C22×D1111yescharacteristic
888C2×C22⋊C4C22×D1111yescharacteristic
889C2×C22⋊C4C22×D1111yescharacteristic
890C2×C22⋊C4C22×D1111yescharacteristic
891C2×C22⋊C4C22×D1111yescharacteristic
892C2×C42—111no—
893C2×C42—111no—
894C2×C42—111no—
895C2×C42—111no—
896C2×C42—111no—
897C2×C42—111no—
898C2×C42—111no—
899C2×C42—111no—
900C2×C42—111no—
901C2×C42—111no—
902C2×C42—111no—
903C2×C42—111no—
904C2×C42—224no—
905C2×C42C22×D1111yescharacteristic
906C2×C42C22×D1111yescharacteristic
907C2×C42C22×D1111yescharacteristic
908#95—111no—
909#95—111no—
910#95—111no—
911#95—111no—
912#95—111no—
913#95—111no—
914#95—111no—
915#95—111no—
916#95—111no—
917#95—111no—
918#95—111no—
919#95—111no—
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—111no—
926#95—111no—
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#95C22×D1111yescharacteristic
967#95C22×D1111yescharacteristic
968#95C22×D1111yescharacteristic
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974#95C22×D1111yescharacteristic
975#95C22×D1111yescharacteristic
976#95C22×D1111yescharacteristic
977#95C22×D1111yescharacteristic
978#95C22×D1111yescharacteristic
979#95C22×D1111yescharacteristic
980C2×C11—81no—
981C2×C11#345511yescharacteristic
982C2×C11#349111yescharacteristic
983C2×C11#349511yescharacteristic
984C2×C11#355711yescharacteristic
985C2×C11#356511yescharacteristic
986C2×C11#356611yescharacteristic
987C2×C11#356811yescharacteristic
988D11—42no—
989C24—111no—
990C24C23×D1111yescharacteristic
991C2×Q8—222no—
992C2×Q8—441no—
993C2×Q8—441no—
994C2×Q8—441no—
995C2×Q8—441no—
996C2×Q8—441no—
997C2×Q8—441no—
998C2×Q8—441no—
999C2×Q8—441no—
1000C2×D4—222no—
1001C2×D4—441no—
1002C2×D4—441no—
1003C22×C4—111no—
1004C22×C4—114no—
1005C22×C4—111no—
1006C22×C4—111no—
1007C22×C4—111no—
1008C22×C4—111no—
1009C22×C4—111no—
1010C22×C4—111no—
1011C22×C4—111no—
1012C22×C4—111no—
1013C22×C4—111no—
1014C22×C4—111no—
1015C22×C4—111no—
1016C22×C4—111no—
1017C22×C4—111no—
1018C22×C4—111no—
1019C22×C4—222no—
1020C22×C4—222no—
1021C22×C4—222no—
1022C22×C4—441no—
1023C22×C4—441no—
1024C22×C4—441no—
1025C22×C4—441no—
1026C22×C4—441no—
1027C22×C4—441no—
1028C22×C4—441no—
1029C22×C4—441no—
1030C22×C4C23×D1111yescharacteristic
1031C22×C4C23×D1111yescharacteristic
1032C22×C4C23×D1111yescharacteristic
1033C22×C4C23×D1111yescharacteristic
1034C22×C4C23×D1111yescharacteristic
1035C22×C4C23×D1111yescharacteristic
1036C22×C4C23×D1111yescharacteristic
1037C22×C4C23×D1111yescharacteristic
1038C22×C4C23×D1111yescharacteristic
1039C22×C4C23×D1111yescharacteristic
1040C22×C4C23×D1111yescharacteristic
1041C22×C4C23×D1111yescharacteristic
1042C22×C4C23×D1111yescharacteristic
1043C22×C4C23×D1111yescharacteristic
1044C4⋊C4—22no—
1045C4⋊C4—22no—
1046C4⋊C4—22no—
1047C4⋊C4—41no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—41no—
1054C4⋊C4—41no—
1055C4⋊C4—222no—
1056C4⋊C4—222no—
1057C4⋊C4—222no—
1058C4⋊C4—222no—
1059C4⋊C4—222no—
1060C4⋊C4—441no—
1061C4⋊C4—441no—
1062C4⋊C4—441no—
1063C4⋊C4—441no—
1064C4⋊C4—441no—
1065C4⋊C4—441no—
1066C4⋊C4—441no—
1067C4⋊C4—441no—
1068C4⋊C4—441no—
1069C4⋊C4—441no—
1070C4⋊C4—441no—
1071C4⋊C4—441no—
1072C4⋊C4—441no—
1073C4⋊C4—441no—
1074C4⋊C4—441no—
1075C4⋊C4—441no—
1076C4⋊C4—441no—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4—441no—
1080C22⋊C4—22no—
1081C22⋊C4—22no—
1082C22⋊C4—41no—
1083C22⋊C4—41no—
1084C22⋊C4—41no—
1085C22⋊C4—41no—
1086C22⋊C4—41no—
1087C22⋊C4—222no—
1088C22⋊C4—222no—
1089C22⋊C4—222no—
1090C22⋊C4—222no—
1091C22⋊C4—441no—
1092C22⋊C4—441no—
1093C22⋊C4—441no—
1094C22⋊C4—441no—
1095C22⋊C4—441no—
1096C22⋊C4—441no—
1097C22⋊C4—441no—
1098C22⋊C4—441no—
1099C22⋊C4—441no—
1100C22⋊C4—441no—
1101C22⋊C4—441no—
1102C22⋊C4—441no—
1103C22⋊C4—441no—
1104C42—22no—
1105C42—41no—
1106C42—41no—
1107C42—222no—
1108C42—222no—
1109C42—222no—
1110C42—441no—
1111C42—441no—
1112C42—441no—
1113C42—441no—
1114C42—441no—
1115C42—441no—
1116C42—441no—
1117C42—441no—
1118C42—441no—
1119C11#3698411yescharacteristic, complemented, Sylow
1120C23—21no—
1121C23—21no—
1122C23—21no—
1123C23—21no—
1124C23—21no—
1125C23—21no—
1126C23—21no—
1127C23—112no—
1128C23—221no—
1129C23—221no—
1130C23—221no—
1131C23—221no—
1132C23—221no—
1133C23—221no—
1134C23C24×D1111yescharacteristic
1135Q8—882no—
1136Q8—882no—
1137Q8—882no—
1138D4—882no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
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—112no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—221no—
1183C2×C4—221no—
1184C2×C4—221no—
1185C2×C4—221no—
1186C2×C4—221no—
1187C2×C4—221no—
1188C2×C4—221no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—221no—
1192C2×C4—221no—
1193C2×C4—221no—
1194C2×C4—221no—
1195C2×C4—221no—
1196C2×C4—221no—
1197C2×C4—221no—
1198C2×C4—221no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—221no—
1205C2×C4—221no—
1206C2×C4—221no—
1207C2×C4—221no—
1208C2×C4—221no—
1209C2×C4—221no—
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—444no—
1225C2×C4—444no—
1226C2×C4—444no—
1227C2×C4—882no—
1228C2×C4#41×D1112yes—
1229C2×C4#6704312yes—
1230C22—41no—
1231C22—41no—
1232C22—41no—
1233C22—41no—
1234C22—41no—
1235C22—41no—
1236C22—41no—
1237C22—222no—
1238C22—222no—
1239C22—222no—
1240C22—441no—
1241C22—441no—
1242C22—441no—
1243C22—441no—
1244C22C2×#41×D1111yescharacteristic
1245C22C2×#6704311yescharacteristic
1246C22#1062345311yescharacteristic
1247C22#1062345511yescharacteristic
1248C22#1062345511yescharacteristic
1249C22#1062345711yescharacteristic
1250C22#1062345711yescharacteristic
1251C4—22no—
1252C4—22no—
1253C4—41no—
1254C4—41no—
1255C4—41no—
1256C4—41no—
1257C4—41no—
1258C4—41no—
1259C4—41no—
1260C4—41no—
1261C4—41no—
1262C4—41no—
1263C4—41no—
1264C4—41no—
1265C4—222no—
1266C4—441no—
1267C4—441no—
1268C4—441no—
1269C4—441no—
1270C4—441no—
1271C4—441no—
1272C4—441no—
1273C4—441no—
1274C4—441no—
1275C4—441no—
1276C4—441no—
1277C4—441no—
1278C4—441no—
1279C4—441no—
1280C2—81no—
1281C2—442no—
1282C2#1308200011yescharacteristic
1283C2#1308231111yescharacteristic
1284C2#1308235711yescharacteristic
1285C2#1308311311yescharacteristic
1286C2#1308326711yescharacteristic
1287C2#1308329511yescharacteristic
1288C2#1308331311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2773C2
prime radicalC22×C22⋊D11C23
hypercenter#2773D11
hypocenterC11#36984
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2773

Complements

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

NH ≅ G/Ntype
1. #13076954C2semidirect
3. #13076174C2semidirect
4. #13076054C2semidirect
5. #13076035C2semidirect
6. #13076032C2semidirect
7. #13076014C2semidirect
8. #13075981C2semidirect
9. #13075974C2semidirect
10. #13075969C2semidirect
13. #13075788C2semidirect
15. #13075696C2semidirect
16. #13075692C2semidirect
18. #13074793C2semidirect
20. #13074153C2semidirect
21. #13074048C2semidirect
22. #13074048C2semidirect
23. #13073936C2semidirect
24. #13073499C2semidirect
25. #13073476C2semidirect
26. #13073413C2semidirect
27. #13073404C2semidirect
29. #13071368C2semidirect
30. #13071009C2semidirect
31. C11×#2773C2semidirect
479. #2773D11semidirect
1119. C11#36984semidirect

Maximal subgroups

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

subgroupindex
#130769542
#130769362
#130761742
#130760542
#130760352
#130760322
#130760142
#130759812
#130759742
#130759692
#130758762
#130758492
#130757882
#130757622
#130756962
#130756922
#130756702
#130747932
#130747692
#130741532
#130740482
#130739362
#130734992
#130734762
#130734132
#130734042
#130714132
#130713682
#130710092
C11×#27732
#3698411