Finite Group Databasebeta

← #14969144

Subgroups — #14969144

Order 2816.

1436 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13077007C211yesmaximal, characteristic, complemented
3#13076595C211yesmaximal, characteristic, complemented
4#13076590C211yesmaximal, characteristic, complemented
5#13076349C211yesmaximal, characteristic, complemented
6#13076340C211yesmaximal, characteristic, complemented
7#13076017C211yesmaximal, characteristic, complemented
8#13076011C211yesmaximal, characteristic, complemented
9#13075990C211yesmaximal, characteristic, complemented
10#13075985C211yesmaximal, characteristic, complemented
11#13075982C211yesmaximal, characteristic, complemented
12#13075976C211yesmaximal, characteristic, complemented
13#13075892C211yesmaximal, characteristic
14#13075886C211yesmaximal, characteristic
15#13075876C211yesmaximal, characteristic, complemented
16#13075871C211yesmaximal, characteristic, complemented
17#13075677C211yesmaximal, characteristic, complemented
18#13075670C211yesmaximal, characteristic, complemented
19#13074673C211yesmaximal, characteristic, complemented
20#13074299C211yesmaximal, characteristic
21#13074262C211yesmaximal, characteristic, complemented
22#13074189C211yesmaximal, characteristic, complemented
23#13074102C211yesmaximal, characteristic, complemented
24#13073949C211yesmaximal, characteristic, complemented
25#13073947C211yesmaximal, characteristic, complemented
26#13073410C211yesmaximal, characteristic, complemented
27#13073408C211yesmaximal, characteristic, complemented
28#13071427C211yesmaximal, characteristic, complemented
29#13071265C211yesmaximal, characteristic, complemented
30#13071112C211yesmaximal, characteristic, complemented
31C11×#2653C211yesmaximal, characteristic, complemented
32C2×#66979C2211yescharacteristic
33C2×#66940C2211yescharacteristic
34C2×#66938C2211yescharacteristic
35C11×#401C2211yescharacteristic
36C11×#398C2211yescharacteristic
37C11×#397C2211yescharacteristic
38C11×#397C2211yescharacteristic
39C11×#394C2211yescharacteristic
40C11×#394C2211yescharacteristic
41C11×#393C2211yescharacteristic
42C11×#393C2211yescharacteristic
43C11×#391C2211yescharacteristic
44C11×#388C2211yescharacteristic
45C11×#388C2211yescharacteristic
46C11×#387C2211yescharacteristic
47C11×#386C2211yescharacteristic
48C11×#385C2211yescharacteristic
49C4×C11×C22⋊C4C2211yescharacteristic
50#10622844C2211yescharacteristic
51#10622843C2211yescharacteristic
52#10622843C2211yescharacteristic
53#10622842C2211yescharacteristic
54#10622836C2211yescharacteristic
55#10622835C2211yescharacteristic
56#10622834C2211yescharacteristic
57#10622833C2211yescharacteristic
58#10622826C2211yescharacteristic
59#10622823C2211yescharacteristic
60C4×C22⋊Dic11C2211yescharacteristic
61#10622603C2211yescharacteristic
62#10622603C2211yescharacteristic
63#10622602C2211yescharacteristic
64#10622602C2211yescharacteristic
65#10622600C2211yescharacteristic
66#10622599C2211yescharacteristic
67#10622599C2211yescharacteristic
68#10622597C2211yescharacteristic
69#10622595C2211yescharacteristic
70#10622594C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622594C2211yescharacteristic
73#10622594C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622591C2211yescharacteristic
76#10622591C2211yescharacteristic
77#10622590C2211yescharacteristic
78#10622587C2211yescharacteristic
79#10622585C2211yescharacteristic
80#10622574C2211yescharacteristic
81#10622574C2211yescharacteristic
82#10622574C2211yescharacteristic
83#10622572C2211yescharacteristic
84#10622571C2211yescharacteristic
85#10622570C2211yescharacteristic
86#10622570C2211yescharacteristic
87#10622570C2211yescharacteristic
88#10622569C2211yescharacteristic
89#10622569C2211yescharacteristic
90#10622566C2211yescharacteristic
91#10622566C2211yescharacteristic
92#10622565C2211yescharacteristic
93#10622565C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622560C2211yescharacteristic
104#10622560C2211yescharacteristic
105#10622560C2211yescharacteristic
106#10622560C2211yescharacteristic
107#10622560C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622556C2211yescharacteristic
121#10622555C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622545C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622288C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622287C2211yescharacteristic
135#10622286C2211yescharacteristic
136#10622286C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622283C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622277C2211yescharacteristic
145C11⋊#401C2211yescharacteristic
146C11⋊#401C2211yescharacteristic
147C11⋊#401C2211yescharacteristic
148#10622273C2211yescharacteristic
149#10622272C2211yescharacteristic
150#10622271C2211yescharacteristic
151#10622270C2211yescharacteristic
152#10622269C2211yescharacteristic
153#10622269C2211yescharacteristic
154#10622269C2211yescharacteristic
155#10622268C2211yescharacteristic
156#10622268C2211yescharacteristic
157#10622268C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622264C2211yescharacteristic
177#10622263C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C22⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊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×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240#66979—24no—
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277#66940—24no—
278#66938—24no—
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#37031—111nomaximal, Sylow
346C24×C11C2411yescharacteristic
347C24×C11C2411yescharacteristic
348C23×D11C2411yescharacteristic
349C2×Q8×C11—41no—
350C2×Q8×C11—41no—
351C2×Q8×C11—41no—
352C2×D4×C11—41no—
353C2×D4×C11—41no—
354C2×D4×C11—41no—
355C22×C4×C11—22no—
356C22×C4×C11—41no—
357C22×C4×C11—41no—
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
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C2×C22⋊D11—22no—
372C2×C22⋊D11—41no—
373C2×C22⋊D11—41no—
374C2×C22⋊D11—41no—
375C2×C22⋊D11—41no—
376C2×C22⋊D11—41no—
377C22×Dic11—41no—
378C22×Dic11—41no—
379C22×Dic11—41no—
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
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C2×C4×D11—41no—
396C2×C4×D11—41no—
397C2×C4×D11—41no—
398C2×Dic22—22no—
399C2×Dic22—22no—
400C2×Dic22—41no—
401C2×Dic22—41no—
402C2×Dic22—41no—
403C2×Dic22—41no—
404C2×Dic22—41no—
405C2×Dic22—41no—
406C2×Dic22—41no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C11×C4⋊C4—41no—
412C11×C22⋊C4—22no—
413C11×C22⋊C4—41no—
414C11×C22⋊C4—41no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4—41no—
417C11×C22⋊C4—41no—
418C11×C22⋊C4—41no—
419C11×C22⋊C4—41no—
420C11×C22⋊C4—41no—
421C11×C22⋊C4—41no—
422C11×C22⋊C4—41no—
423C42×C11—41no—
424C42×C11—41no—
425C22⋊Dic11—22no—
426C22⋊Dic11—22no—
427C22⋊Dic11—22no—
428C22⋊Dic11—41no—
429C22⋊Dic11—41no—
430C22⋊Dic11—41no—
431C22⋊Dic11—41no—
432C22⋊Dic11—41no—
433C22⋊Dic11—41no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11—41no—
437C22⋊Dic11—41no—
438(C2×D11)⋊C4—22no—
439(C2×D11)⋊C4—22no—
440(C2×D11)⋊C4—41no—
441(C2×D11)⋊C4—41no—
442(C2×D11)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447(C2×D11)⋊C4—41no—
448(C2×D11)⋊C4—41no—
449(C2×D11)⋊C4—41no—
450C4⋊Dic11—22no—
451C4⋊Dic11—22no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
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—
472C4×Dic11—22no—
473C4×Dic11—22no—
474C4×Dic11—22no—
475C4×Dic11—41no—
476C4×Dic11—41no—
477C4×Dic11—41no—
478C4×Dic11—41no—
479C4×Dic11—41no—
480C4×Dic11—41no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11#4114yes—
486#2866—111no—
487#2866—111no—
488#2808—111no—
489#2808—111no—
490#2787—111no—
491#2787—111no—
492#2762—111no—
493#2762—111no—
494#2759—111no—
495#2759—111no—
496#2759—111no—
497#2759—111no—
498#2753—111no—
499#2753—111no—
500#2751—111no—
501#2751—111no—
502#2737—111no—
503#2737—111no—
504#2653—111no—
505#2653D1111yescharacteristic, complemented
506#2610—111no—
507#2605—111no—
508#2599—111no—
509#2592—111no—
510#2578—111no—
511#2578—111no—
512#2527—111no—
513#2527—111no—
514#2337—111no—
515#2320—111no—
516#2298—111no—
517C23×C11—21no—
518C23×C11—21no—
519C23×C11—21no—
520C23×C11—21no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11C2511yescharacteristic
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11—21no—
536C22×D11—21no—
537C22×D11—21no—
538C22×D11—21no—
539Q8×C11—82no—
540D4×C11—82no—
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×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—44no—
580C2×C4×C11C2×#4112yes—
581C22⋊D11—82no—
582C22⋊D11—82no—
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×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—82no—
627C2×Dic11C2×#4112yes—
628C2×Dic11C2×#4112yes—
629C4×D11—82no—
630Dic22—44no—
631Dic22—82no—
632Dic22—82no—
633C2×#124—111no—
634C2×C4×Q8—111no—
635C2×#117—111no—
636#401—111no—
637#401—111no—
638#401—111no—
639#401C2×D1111yescharacteristic
640#400—111no—
641#400—111no—
642#400—111no—
643#400—111no—
644#400—111no—
645#400—111no—
646#398—111no—
647#398—111no—
648#398C2×D1111yescharacteristic
649#397—111no—
650#397—111no—
651#397—111no—
652#397—111no—
653#397—111no—
654#397—111no—
655#397—111no—
656#397—111no—
657#397—111no—
658#397—111no—
659#397—111no—
660#397C2×D1111yescharacteristic
661#397C2×D1111yescharacteristic
662#395—111no—
663#395—111no—
664#395—111no—
665#395—111no—
666#394—111no—
667#394—111no—
668#394—111no—
669#394—111no—
670#394—111no—
671#394C2×D1111yescharacteristic
672#394C2×D1111yescharacteristic
673#393—111no—
674#393—111no—
675#393—111no—
676#393—111no—
677#393—111no—
678#393—111no—
679#393—111no—
680#393—111no—
681#393C2×D1111yescharacteristic
682#393C2×D1111yescharacteristic
683#392—111no—
684#391—111no—
685#391—111no—
686#391—111no—
687#391—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#391C2×D1111yescharacteristic
696#390—111no—
697#390—111no—
698#390—111no—
699#390—111no—
700#389—111no—
701#389—111no—
702#388—111no—
703#388—111no—
704#388—111no—
705#388—111no—
706#388—111no—
707#388—111no—
708#388—111no—
709#388—111no—
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388C2×D1111yescharacteristic
729#388C2×D1111yescharacteristic
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#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387C2×D1111yescharacteristic
756#386—111no—
757#386—111no—
758#386—111no—
759#386—111no—
760#386—111no—
761#386C2×D1111yescharacteristic
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385C2×D1111yescharacteristic
768#383—111no—
769#383—111no—
770#383—111no—
771#383—111no—
772#383—111no—
773#382—111no—
774#382—111no—
775#381—111no—
776#381—111no—
777#380—111no—
778#380—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C22⋊C4—111no—
782C4×C22⋊C4—111no—
783C4×C22⋊C4—111no—
784C4×C22⋊C4C2×D1111yescharacteristic
785#376—111no—
786#376—111no—
787C43—111no—
788C22×C11—41no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11—41no—
794C22×C11—41no—
795C22×C11—41no—
796C22×C11—41no—
797C22×C11—41no—
798C22×C11—41no—
799C22×C11—41no—
800C22×C11—41no—
801C22×C11—41no—
802C22×C11C22×#4111yescharacteristic
803C22×C11#58511yescharacteristic
804C22×C11#58511yescharacteristic
805C22×C11#58511yescharacteristic
806C22×C11#58511yescharacteristic
807C22×C11#58511yescharacteristic
808C22×C11#58511yescharacteristic
809C2×D11—41no—
810C2×D11—41no—
811C2×D11—41no—
812C2×D11—41no—
813C2×D11—41no—
814C2×D11—41no—
815C2×D11—41no—
816C4×C11—22no—
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—
827C4×C11—41no—
828C4×C11—41no—
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—
842Dic11—41no—
843Dic11—41no—
844C22×Q8—111no—
845C22×Q8—111no—
846C22×Q8—111no—
847C22×Q8C22×D1111yescharacteristic
848C22×D4—111no—
849C22×D4—111no—
850C22×D4C22×D1111yescharacteristic
851C23×C4—111no—
852C23×C4—111no—
853C23×C4C22×D1111yescharacteristic
854#124—224no—
855C4×Q8—224no—
856#117—224no—
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⋊C4C22×D1111yescharacteristic
880C2×C4⋊C4C22×D1111yescharacteristic
881C2×C4⋊C4C22×D1111yescharacteristic
882C2×C4⋊C4C22×D1111yescharacteristic
883C2×C4⋊C4C22×D1111yescharacteristic
884C2×C22⋊C4—111no—
885C2×C22⋊C4—111no—
886C2×C22⋊C4—111no—
887C2×C22⋊C4—111no—
888C2×C22⋊C4—111no—
889C2×C22⋊C4—111no—
890C2×C22⋊C4—111no—
891C2×C22⋊C4—111no—
892C2×C22⋊C4—111no—
893C2×C22⋊C4—111no—
894C2×C22⋊C4—111no—
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4C22×D1111yescharacteristic
910C2×C22⋊C4C22×D1111yescharacteristic
911C2×C22⋊C4C22×D1111yescharacteristic
912C2×C22⋊C4C22×D1111yescharacteristic
913C2×C22⋊C4C22×D1111yescharacteristic
914C2×C22⋊C4C22×D1111yescharacteristic
915C2×C22⋊C4C22×D1111yescharacteristic
916C2×C22⋊C4C22×D1111yescharacteristic
917C2×C22⋊C4C22×D1111yescharacteristic
918C2×C22⋊C4C22×D1111yescharacteristic
919C2×C22⋊C4C22×D1111yescharacteristic
920C2×C42—111no—
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—111no—
934C2×C42C22×D1111yescharacteristic
935C2×C42C22×D1111yescharacteristic
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#95—111no—
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
1002C2×C11—81no—
1003C2×C11—81no—
1004C2×C11#345511yescharacteristic
1005C2×C11#349311yescharacteristic
1006C2×C11#351011yescharacteristic
1007C2×C11#356611yescharacteristic
1008C2×C11#356611yescharacteristic
1009C2×C11#356811yescharacteristic
1010C2×C11#356811yescharacteristic
1011D11—81no—
1012C24—111no—
1013C24C23×D1111yescharacteristic
1014C24C23×D1111yescharacteristic
1015C2×Q8—41no—
1016C2×Q8—41no—
1017C2×Q8—41no—
1018C2×Q8—222no—
1019C2×Q8—222no—
1020C2×Q8—441no—
1021C2×Q8—441no—
1022C2×Q8—441no—
1023C2×Q8—441no—
1024C2×Q8—441no—
1025C2×Q8—441no—
1026C2×Q8—441no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—222no—
1031C2×D4—441no—
1032C2×D4—441no—
1033C2×D4—441no—
1034C2×D4—441no—
1035C2×D4—441no—
1036C22×C4—22no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—111no—
1043C22×C4—111no—
1044C22×C4—111no—
1045C22×C4—111no—
1046C22×C4—111no—
1047C22×C4—111no—
1048C22×C4—111no—
1049C22×C4—111no—
1050C22×C4—111no—
1051C22×C4—111no—
1052C22×C4—111no—
1053C22×C4—111no—
1054C22×C4—441no—
1055C22×C4—441no—
1056C22×C4—441no—
1057C22×C4—441no—
1058C22×C4—441no—
1059C22×C4—441no—
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C22×C4C23×D1111yescharacteristic
1065C22×C4C23×D1111yescharacteristic
1066C22×C4C23×D1111yescharacteristic
1067C22×C4C23×D1111yescharacteristic
1068C22×C4C23×D1111yescharacteristic
1069C22×C4C23×D1111yescharacteristic
1070C22×C4C23×D1111yescharacteristic
1071C22×C4C23×D1111yescharacteristic
1072C22×C4C23×D1111yescharacteristic
1073C4⋊C4—22no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—222no—
1081C4⋊C4—222no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C4⋊C4—441no—
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—
1100C22⋊C4—22no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—222no—
1112C22⋊C4—222no—
1113C22⋊C4—222no—
1114C22⋊C4—222no—
1115C22⋊C4—222no—
1116C22⋊C4—441no—
1117C22⋊C4—441no—
1118C22⋊C4—441no—
1119C22⋊C4—441no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4—441no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C22⋊C4—441no—
1133C22⋊C4—441no—
1134C22⋊C4—441no—
1135C22⋊C4—441no—
1136C42—41no—
1137C42—41no—
1138C42—114no—
1139C42—222no—
1140C42—222no—
1141C42—222no—
1142C42—441no—
1143C42—441no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C42—441no—
1148C42—441no—
1149C42—441no—
1150C42—441no—
1151C42—441no—
1152C11#3703111yescharacteristic, complemented, Sylow
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—221no—
1168C23—221no—
1169C23—221no—
1170C23—221no—
1171C23—221no—
1172C23—221no—
1173C23—221no—
1174C23C24×D1111yescharacteristic
1175Q8—82no—
1176Q8—444no—
1177Q8—882no—
1178Q8—882no—
1179D4—82no—
1180D4—882no—
1181D4—882no—
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—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—44no—
1221C2×C4—112no—
1222C2×C4—112no—
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—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—882no—
1267C2×C4—882no—
1268C2×C4#41×D1112yes—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22—41no—
1273C22—41no—
1274C22—41no—
1275C22—41no—
1276C22—41no—
1277C22—41no—
1278C22—41no—
1279C22—41no—
1280C22—41no—
1281C22—41no—
1282C22—41no—
1283C22—441no—
1284C22—441no—
1285C22—441no—
1286C22—441no—
1287C22—441no—
1288C22—441no—
1289C22—441no—
1290C22C2×#41×D1111yescharacteristic
1291C22#1062345311yescharacteristic
1292C22#1062345311yescharacteristic
1293C22#1062345511yescharacteristic
1294C22#1062345511yescharacteristic
1295C22#1062345511yescharacteristic
1296C22#1062345711yescharacteristic
1297C4—22no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—222no—
1311C4—222no—
1312C4—441no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C4—441no—
1317C4—441no—
1318C4—441no—
1319C4—441no—
1320C4—441no—
1321C4—441no—
1322C4—441no—
1323C4—441no—
1324C4—441no—
1325C2—81no—
1326C2—81no—
1327C2—881no—
1328C2#1308199911yescharacteristic
1329C2#1308233111yescharacteristic
1330C2#1308250811yescharacteristic
1331C2#1308327111yescharacteristic
1332C2#1308329511yescharacteristic
1333C2#1308330811yescharacteristic
1334C2#1308330911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2653C2
prime radical#10622836C22
hypercenter#2653D11
hypocenterC11#37031
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13077007C2semidirect
3. #13076595C2semidirect
4. #13076590C2semidirect
5. #13076349C2semidirect
6. #13076340C2semidirect
7. #13076017C2semidirect
8. #13076011C2semidirect
9. #13075990C2semidirect
10. #13075985C2semidirect
11. #13075982C2semidirect
12. #13075976C2semidirect
15. #13075876C2semidirect
16. #13075871C2semidirect
17. #13075677C2semidirect
18. #13075670C2semidirect
19. #13074673C2semidirect
21. #13074262C2semidirect
22. #13074189C2semidirect
23. #13074102C2semidirect
24. #13073949C2semidirect
25. #13073947C2semidirect
26. #13073410C2semidirect
27. #13073408C2semidirect
28. #13071427C2semidirect
29. #13071265C2semidirect
30. #13071112C2semidirect
31. C11×#2653C2semidirect
505. #2653D11semidirect
1152. C11#37031semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130770072
#130765952
#130765902
#130763492
#130763402
#130760172
#130760112
#130759902
#130759852
#130759822
#130759762
#130758922
#130758862
#130758762
#130758712
#130756772
#130756702
#130746732
#130742992
#130742622
#130741892
#130741022
#130739492
#130739472
#130734102
#130734082
#130714272
#130712652
#130711122
C11×#26532
#3703111