Finite Group Databasebeta

← #14968339

Subgroups — #14968339

Order 2816.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1326 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076953C211yesmaximal, characteristic, complemented
2#13076939C211yesmaximal, characteristic
3#13076499C211yesmaximal, characteristic, complemented
4#13076493C211yesmaximal, characteristic, complemented
5#13076167C211yesmaximal, characteristic, complemented
6#13076153C211yesmaximal, characteristic, complemented
7#13076079C211yesmaximal, characteristic, complemented
8#13076074C211yesmaximal, characteristic, complemented
9#13076070C211yesmaximal, characteristic, complemented
10#13076017C211yesmaximal, characteristic, complemented
11#13075979C211yesmaximal, characteristic, complemented
12#13075964C211yesmaximal, characteristic, complemented
13#13075922C211yesmaximal, characteristic, complemented
14#13075915C211yesmaximal, characteristic, complemented
15#13075813C211yesmaximal, characteristic, complemented
16#13075790C211yesmaximal, characteristic, complemented
17#13075740C211yesmaximal, characteristic, complemented
18#13075679C211yesmaximal, characteristic, complemented
19#13074432C211yesmaximal, characteristic, complemented
20#13074402C211yesmaximal, characteristic
21#13073794C211yesmaximal, characteristic
22#13073629C211yesmaximal, characteristic, complemented
23#13073099C211yesmaximal, characteristic, complemented
24#13073003C211yesmaximal, characteristic, complemented
25#13072942C211yesmaximal, characteristic
26#13072936C211yesmaximal, characteristic
27#13072923C211yesmaximal, characteristic
28#13071344C211yesmaximal, characteristic, complemented
29#13071244C211yesmaximal, characteristic
30C2×#10622265C211yesmaximal, characteristic, complemented
31C11×#2493C211yesmaximal, characteristic, complemented
32C2×#66982C2211yescharacteristic
33C2×#66977C2211yescharacteristic
34C22×Dic11⋊C4C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C2×#66939C2211yescharacteristic
38C2×(C22⋊D11)⋊C4C2211yescharacteristic
39C2×#66931C2211yescharacteristic
40C2×#66931C2211yescharacteristic
41C11×#401C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#387C2211yescharacteristic
46C11×#387C2211yescharacteristic
47C11×#387C2211yescharacteristic
48C11×#385C2211yescharacteristic
49C11×#385C2211yescharacteristic
50C11×#383C2211yescharacteristic
51C11×#381C2211yescharacteristic
52C11×#381C2211yescharacteristic
53C11×#380C2211yescharacteristic
54C4×C11×C22⋊C4C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56#10622826C2211yescharacteristic
57#10622826C2211yescharacteristic
58#10622824C2211yescharacteristic
59C4×C22⋊Dic11C2211yescharacteristic
60C2×C11⋊#95C2211yescharacteristic
61C2×C11⋊#95C2211yescharacteristic
62C2×C11⋊#95C2211yescharacteristic
63#10622605C2211yescharacteristic
64#10622605C2211yescharacteristic
65#10622605C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622600C2211yescharacteristic
69#10622599C2211yescharacteristic
70#10622598C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622592C2211yescharacteristic
82#10622592C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622590C2211yescharacteristic
86#10622586C2211yescharacteristic
87#10622571C2211yescharacteristic
88#10622571C2211yescharacteristic
89#10622563C2211yescharacteristic
90#10622563C2211yescharacteristic
91#10622563C2211yescharacteristic
92#10622559C2211yescharacteristic
93#10622556C2211yescharacteristic
94#10622556C2211yescharacteristic
95#10622556C2211yescharacteristic
96#10622555C2211yescharacteristic
97#10622555C2211yescharacteristic
98C22⋊C4×Dic11C2211yescharacteristic
99#10622553C2211yescharacteristic
100#10622553C2211yescharacteristic
101#10622549C2211yescharacteristic
102#10622546C2211yescharacteristic
103#10622546C2211yescharacteristic
104#10622542C2211yescharacteristic
105#10622542C2211yescharacteristic
106#10622541C2211yescharacteristic
107#10622288C2211yescharacteristic
108#10622288C2211yescharacteristic
109#10622288C2211yescharacteristic
110#10622288C2211yescharacteristic
111#10622288C2211yescharacteristic
112#10622287C2211yescharacteristic
113#10622286C2211yescharacteristic
114#10622286C2211yescharacteristic
115#10622286C2211yescharacteristic
116#10622283C2211yescharacteristic
117#10622283C2211yescharacteristic
118#10622283C2211yescharacteristic
119#10622283C2211yescharacteristic
120#10622283C2211yescharacteristic
121#10622283C2211yescharacteristic
122#10622282C2211yescharacteristic
123#10622281C2211yescharacteristic
124#10622280C2211yescharacteristic
125#10622280C2211yescharacteristic
126#10622277C2211yescharacteristic
127C11⋊#401C2211yescharacteristic
128#10622273C2211yescharacteristic
129#10622273C2211yescharacteristic
130#10622273C2211yescharacteristic
131#10622273C2211yescharacteristic
132#10622273C2211yescharacteristic
133#10622273C2211yescharacteristic
134#10622272C2211yescharacteristic
135#10622272C2211yescharacteristic
136#10622272C2211yescharacteristic
137#10622272C2211yescharacteristic
138#10622271C2211yescharacteristic
139#10622271C2211yescharacteristic
140#10622271C2211yescharacteristic
141#10622271C2211yescharacteristic
142#10622270C2211yescharacteristic
143#10622270C2211yescharacteristic
144#10622270C2211yescharacteristic
145#10622269C2211yescharacteristic
146#10622269C2211yescharacteristic
147#10622269C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622268C2211yescharacteristic
151#10622268C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622267C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622266C2211yescharacteristic
158#10622266C2211yescharacteristic
159#10622266C2211yescharacteristic
160#10622265C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622265C2211yescharacteristic
163#10622265C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622264C2211yescharacteristic
170#10622264C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622260C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214#66982—42no—
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×C4⋊Dic11C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239#66977—42no—
240C2×Dic11⋊C4—24no—
241C2×Dic11⋊C4—42no—
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×C4×Dic11—42no—
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
275#66939—42no—
276(C22⋊D11)⋊C4—24no—
277#66931—24no—
278#66931—42no—
279C11×#95C2311yescharacteristic
280C11×#95C2311yescharacteristic
281C11×#95C2311yescharacteristic
282C11×#95C2311yescharacteristic
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11⋊#95C2311yescharacteristic
300C11⋊#95C2311yescharacteristic
301C11⋊#95C2311yescharacteristic
302C11⋊#95C2311yescharacteristic
303C11⋊#95C2311yescharacteristic
304C11⋊#95C2311yescharacteristic
305C11⋊#95C2311yescharacteristic
306C11⋊#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351#36999—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C23×D11C2411yescharacteristic
354C22×C4×C11—22no—
355C22×C4×C11—22no—
356C22×C4×C11—22no—
357C22×C4×C11—22no—
358C22×C4×C11—22no—
359C22×C4×C11—41no—
360C22×C4×C11—41no—
361C22×C4×C11—41no—
362C22×C4×C11—41no—
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C2×C22⋊D11—22no—
378C2×C22⋊D11—22no—
379C2×C22⋊D11—22no—
380C22×Dic11—22no—
381C22×Dic11—22no—
382C22×Dic11—22no—
383C22×Dic11—22no—
384C22×Dic11—22no—
385C22×Dic11—22no—
386C22×Dic11—41no—
387C22×Dic11—41no—
388C22×Dic11—41no—
389C22×Dic11—41no—
390C22×Dic11—41no—
391C22×Dic11#4114yes—
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C2×C4×D11—22no—
408C2×C4×D11—41no—
409C2×C4×D11—41no—
410C2×Dic22—22no—
411C2×Dic22—22no—
412C2×Dic22—41no—
413C2×Dic22—41no—
414C2×Dic22—41no—
415C2×Dic22—41no—
416C2×Dic22—41no—
417C2×Dic22—41no—
418C2×Dic22—41no—
419C11×C4⋊C4—41no—
420C11×C4⋊C4—41no—
421C11×C4⋊C4—41no—
422C11×C4⋊C4—41no—
423C11×C4⋊C4—41no—
424C11×C4⋊C4—41no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4—22no—
429C42×C11—41no—
430C42×C11—41no—
431C22⋊Dic11—22no—
432C22⋊Dic11—22no—
433C22⋊Dic11—22no—
434(C2×D11)⋊C4—22no—
435(C2×D11)⋊C4—22no—
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)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447C4⋊Dic11—22no—
448C4⋊Dic11—22no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
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—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
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—
481C4×Dic11—22no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
486C4×Dic11—41no—
487C4×Dic11—41no—
488C4×Dic11—41no—
489C4×Dic11—41no—
490#2855—111no—
491#2853—111no—
492#2799—111no—
493#2798—111no—
494#2774—111no—
495#2773—111no—
496#2767—111no—
497#2767—111no—
498#2766—111no—
499#2762—111no—
500#2759—111no—
501#2758—111no—
502#2755—111no—
503#2754—111no—
504#2747—111no—
505#2745—111no—
506#2742—111no—
507#2738—111no—
508#2627—111no—
509#2623—111no—
510#2564—111no—
511#2549—111no—
512#2503—111no—
513#2493—111no—
514#2493D1111yescharacteristic, complemented
515#2488—111no—
516#2488—111no—
517#2486—111no—
518#2329—111no—
519#2318—111no—
520C2×#387—111no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11C2×#4112yes—
526C23×C11H(5,𝔽2)12yes—
527C23×C112−1+412yes—
528C23×C11C2511yescharacteristic
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—44no—
579C2×C4×C11—82no—
580C2×C4×C11—82no—
581C22⋊D11—44no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—44no—
625C2×Dic11—44no—
626C2×Dic11—44no—
627C2×Dic11—44no—
628C2×Dic11C2×#4112yes—
629C2×Dic11C2×#4112yes—
630C2×Dic112−1+412yes—
631C4×D11—82no—
632Dic22—82no—
633Dic22—82no—
634Dic22—82no—
635C2×#123—111no—
636C2×#123—111no—
637C2×C22⋊Q8—111no—
638C2×C22⋊Q8—111no—
639C2×C22⋊Q8—111no—
640C2×C4×D4—111no—
641C22×C4⋊C4—111no—
642C22×C4⋊C4—111no—
643C22×C42—111no—
644#401—111no—
645#401C2×D1111yescharacteristic
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#400—111no—
651#400—111no—
652#400—111no—
653#400—111no—
654#400—111no—
655#400—111no—
656#400—111no—
657#400—111no—
658#400—111no—
659#400—111no—
660#400—111no—
661#400—111no—
662#400C2×D1111yescharacteristic
663#400C2×D1111yescharacteristic
664#400C2×D1111yescharacteristic
665#399—111no—
666#399—111no—
667#399—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#398—111no—
677#398—111no—
678#397—111no—
679#397—111no—
680#397—111no—
681#397—111no—
682#397—111no—
683#397—111no—
684#395—111no—
685#395—111no—
686#395—111no—
687#395—111no—
688#395—111no—
689#393—111no—
690#393—111no—
691#393—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#391—111no—
696#391—111no—
697#391—111no—
698#391—111no—
699#391—111no—
700#391—111no—
701#391—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#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#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387C2×D1111yescharacteristic
748#387C2×D1111yescharacteristic
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#385C2×D1111yescharacteristic
761#385C2×D1111yescharacteristic
762#383—111no—
763#383—111no—
764#383C2×D1111yescharacteristic
765#382—111no—
766#382—111no—
767#382—111no—
768#382—111no—
769#382—111no—
770#381—111no—
771#381—111no—
772#381—111no—
773#381—111no—
774#381—111no—
775#381C2×D1111yescharacteristic
776#381C2×D1111yescharacteristic
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781#380—111no—
782#380C2×D1111yescharacteristic
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785C4×C22⋊C4C2×D1111yescharacteristic
786C2×#95—111no—
787C2×#95—111no—
788C2×#95—111no—
789C2×#95C2×D1111yescharacteristic
790C22×C11—22no—
791C22×C11—22no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—22no—
795C22×C11—22no—
796C22×C11#54214yes—
797C22×C11C22×#4111yescharacteristic
798C22×C11C2×H(5,𝔽2)11yescharacteristic
799C22×C11C2×2−1+411yescharacteristic
800C22×C11C2×2−1+411yescharacteristic
801C22×C11#58511yescharacteristic
802C22×C11#58511yescharacteristic
803C22×C11#58511yescharacteristic
804C2×D11—41no—
805C2×D11—41no—
806C2×D11—41no—
807C2×D11—41no—
808C2×D11—41no—
809C2×D11—41no—
810C2×D11—41no—
811C4×C11—41no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825Dic11—22no—
826Dic11—22no—
827Dic11—22no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840C22×Q8—111no—
841C22×Q8—111no—
842C22×Q8—111no—
843C22×D4—111no—
844C23×C4—111no—
845C23×C4—111no—
846C23×C4—111no—
847C23×C4—111no—
848C23×C4—111no—
849C23×C4C22×D1111yescharacteristic
850C23×C4C22×D1111yescharacteristic
851C23×C4C22×D1111yescharacteristic
852#123—442no—
853#123—442no—
854C22⋊Q8—224no—
855C22⋊Q8—442no—
856C22⋊Q8—442no—
857C4×D4—224no—
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—224no—
893C2×C4⋊C4—442no—
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C4⋊C4C22×D1111yescharacteristic
896C2×C4⋊C4C22×D1111yescharacteristic
897C2×C4⋊C4C22×D1111yescharacteristic
898C2×C4⋊C4C22×D1111yescharacteristic
899C2×C4⋊C4C22×D1111yescharacteristic
900C2×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⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
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—442no—
930C2×C42C22×D1111yescharacteristic
931C2×C42C22×D1111yescharacteristic
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95C22×D1111yescharacteristic
985#95C22×D1111yescharacteristic
986#95C22×D1111yescharacteristic
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000#95C22×D1111yescharacteristic
1001#95C22×D1111yescharacteristic
1002#95C22×D1111yescharacteristic
1003#95C22×D1111yescharacteristic
1004C2×C11—24no—
1005C2×C11C2×#54211yescharacteristic
1006C2×C11#349111yescharacteristic
1007C2×C11#350711yescharacteristic
1008C2×C11#353311yescharacteristic
1009C2×C11#353511yescharacteristic
1010C2×C11#356311yescharacteristic
1011C2×C11#356411yescharacteristic
1012D11—81no—
1013C24—111no—
1014C24C23×D1111yescharacteristic
1015C2×Q8—222no—
1016C2×Q8—222no—
1017C2×Q8—441no—
1018C2×Q8—441no—
1019C2×Q8—441no—
1020C2×Q8—441no—
1021C2×Q8—441no—
1022C2×Q8—441no—
1023C2×Q8—441no—
1024C2×D4—222no—
1025C2×D4—222no—
1026C2×D4—222no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—114no—
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—222no—
1053C22×C4—222no—
1054C22×C4—222no—
1055C22×C4—222no—
1056C22×C4—222no—
1057C22×C4—222no—
1058C22×C4—222no—
1059C22×C4—441no—
1060C22×C4—441no—
1061C22×C4—441no—
1062C22×C4—441no—
1063C22×C4—441no—
1064C22×C4—441no—
1065C22×C4—441no—
1066C22×C4C23×D1111yescharacteristic
1067C22×C4C23×D1111yescharacteristic
1068C22×C4C23×D1111yescharacteristic
1069C22×C4C23×D1111yescharacteristic
1070C22×C4C23×D1111yescharacteristic
1071C22×C4C23×D1111yescharacteristic
1072C22×C4C23×D1111yescharacteristic
1073C22×C4C23×D1111yescharacteristic
1074C22×C4C23×D1111yescharacteristic
1075C22×C4C23×D1111yescharacteristic
1076C22×C4C23×D1111yescharacteristic
1077C22×C4C23×D1111yescharacteristic
1078C22×C4C23×D1111yescharacteristic
1079C22×C4C23×D1111yescharacteristic
1080C4⋊C4—41no—
1081C4⋊C4—41no—
1082C4⋊C4—41no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—41no—
1086C4⋊C4—222no—
1087C4⋊C4—222no—
1088C4⋊C4—222no—
1089C4⋊C4—222no—
1090C4⋊C4—222no—
1091C4⋊C4—222no—
1092C4⋊C4—222no—
1093C4⋊C4—222no—
1094C4⋊C4—222no—
1095C4⋊C4—222no—
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—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—222no—
1125C22⋊C4—222no—
1126C22⋊C4—222no—
1127C22⋊C4—222no—
1128C22⋊C4—222no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
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—
1140C42—41no—
1141C42—41no—
1142C42—222no—
1143C42—441no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C42—441no—
1148C42—441no—
1149C42—441no—
1150C42—441no—
1151C11#3699911yescharacteristic, complemented, Sylow
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—221no—
1157C23—221no—
1158C23—221no—
1159C23—221no—
1160C23—221no—
1161C23—221no—
1162C23—221no—
1163C23#41×D1112yes—
1164C23#6704212yes—
1165C23#6704312yes—
1166C23C24×D1111yescharacteristic
1167Q8—882no—
1168Q8—882no—
1169Q8—882no—
1170D4—444no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—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—44no—
1214C2×C4—82no—
1215C2×C4—82no—
1216C2×C4—112no—
1217C2×C4—112no—
1218C2×C4—112no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—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—444no—
1262C2×C4—444no—
1263C2×C4—444no—
1264C2×C4—444no—
1265C2×C4—882no—
1266C22—22no—
1267C22—22no—
1268C22—22no—
1269C22—22no—
1270C22—22no—
1271C22—22no—
1272C22—441no—
1273C22—441no—
1274C22—441no—
1275C22—441no—
1276C22—441no—
1277C22—441no—
1278C22—441no—
1279C22#1062324114yes—
1280C22C2×#41×D1111yescharacteristic
1281C22C2×#6704211yescharacteristic
1282C22C2×#6704311yescharacteristic
1283C22#1062345311yescharacteristic
1284C22#1062345311yescharacteristic
1285C22#1062345511yescharacteristic
1286C22D11×2−1+411yescharacteristic
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—41no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—222no—
1302C4—222no—
1303C4—222no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4—441no—
1308C4—441no—
1309C4—441no—
1310C4—441no—
1311C4—441no—
1312C4—441no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C2—24no—
1317C2—881no—
1318C2C2×#1062324111yescharacteristic
1319C2#1308230811yescharacteristic
1320C2#1308247611yescharacteristic
1321C2#1308278811yescharacteristic
1322C2#1308282811yescharacteristic
1323C2#1308321311yescharacteristic
1324C2#1308322811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radicalC22×C22⋊D11C23
hypercenter#2493D11
hypocenterC11#36999
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13076953C2semidirect
3. #13076499C2semidirect
4. #13076493C2semidirect
5. #13076167C2semidirect
6. #13076153C2semidirect
7. #13076079C2semidirect
8. #13076074C2semidirect
9. #13076070C2semidirect
10. #13076017C2semidirect
11. #13075979C2semidirect
12. #13075964C2semidirect
13. #13075922C2semidirect
14. #13075915C2semidirect
15. #13075813C2semidirect
16. #13075790C2semidirect
17. #13075740C2semidirect
18. #13075679C2semidirect
19. #13074432C2semidirect
22. #13073629C2semidirect
23. #13073099C2semidirect
24. #13073003C2semidirect
28. #13071344C2semidirect
30. C2×#10622265C2semidirect
31. C11×#2493C2semidirect
514. #2493D11semidirect
1151. C11#36999semidirect

Maximal subgroups

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

subgroupindex
#130769532
#130769392
#130764992
#130764932
#130761672
#130761532
#130760792
#130760742
#130760702
#130760172
#130759792
#130759642
#130759222
#130759152
#130758132
#130757902
#130757402
#130756792
#130744322
#130744022
#130737942
#130736292
#130730992
#130730032
#130729422
#130729362
#130729232
#130713442
#130712442
C2×#106222652
C11×#24932
#3699911