Finite Group Databasebeta

← #14927438

Subgroups — #14927438

Order 2816.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076954C211yesmaximal, characteristic, complemented
2#13076943C211yesmaximal, characteristic
3#13076934C211yesmaximal, characteristic, complemented
4#13076930C211yesmaximal, characteristic, complemented
5#13074587C211yesmaximal, characteristic, complemented
6#13074543C211yesmaximal, characteristic
7#13074403C211yesmaximal, characteristic, complemented
8#13074401C211yesmaximal, characteristic, complemented
9#13074173C211yesmaximal, characteristic, complemented
10#13074169C211yesmaximal, characteristic, complemented
11#13074156C211yesmaximal, characteristic, complemented
12#13074080C211yesmaximal, characteristic, complemented
13#13074076C211yesmaximal, characteristic, complemented
14#13074067C211yesmaximal, characteristic, complemented
15#13074063C211yesmaximal, characteristic, complemented
16#13073490C211yesmaximal, characteristic, complemented
17#13073488C211yesmaximal, characteristic, complemented
18#13073479C211yesmaximal, characteristic, complemented
19#13073477C211yesmaximal, characteristic, complemented
20#13072852C211yesmaximal, characteristic, complemented
21#13072850C211yesmaximal, characteristic, complemented
22#13072839C211yesmaximal, characteristic, complemented
23#13072825C211yesmaximal, characteristic, complemented
24#13071345C211yesmaximal, characteristic, complemented
25#13071320C211yesmaximal, characteristic
26#13071289C211yesmaximal, characteristic, complemented
27#13071286C211yesmaximal, characteristic, complemented
28#13071058C211yesmaximal, characteristic, complemented
29#13071057C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2596C211yesmaximal, characteristic, complemented
32C2×#66951C2211yescharacteristic
33C2×#66950C2211yescharacteristic
34C2×#66947C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×#66937C2211yescharacteristic
38C2×#66936C2211yescharacteristic
39C2×(C22⋊D11)⋊C4C2211yescharacteristic
40C2×#66932C2211yescharacteristic
41C2×#66930C2211yescharacteristic
42C2×C4×D44C2211yescharacteristic
43C2×#66925C2211yescharacteristic
44C2×C42×D11C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#399C2211yescharacteristic
50C11×#397C2211yescharacteristic
51C11×#389C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62#10622606C2211yescharacteristic
63#10622605C2211yescharacteristic
64#10622603C2211yescharacteristic
65#10622603C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622602C2211yescharacteristic
70#10622602C2211yescharacteristic
71#10622602C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622600C2211yescharacteristic
74#10622599C2211yescharacteristic
75#10622599C2211yescharacteristic
76#10622598C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88#10622587C2211yescharacteristic
89#10622586C2211yescharacteristic
90#10622586C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622571C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622562C2211yescharacteristic
110#10622560C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622557C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×C4⋊Dic11C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622545C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128#10622542C2211yescharacteristic
129#10622541C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622290C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622277C2211yescharacteristic
152#10622277C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155#10622274C2211yescharacteristic
156#10622273C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622272C2211yescharacteristic
159#10622272C2211yescharacteristic
160#10622271C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622270C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622264C2211yescharacteristic
179#10622264C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×C22⋊D11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
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×(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
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286#66951—42no—
287#66950—24no—
288#66947—24no—
289C4⋊C4×D11—24no—
290C4⋊C4×D11—24no—
291#66937—24no—
292#66936—24no—
293(C22⋊D11)⋊C4—24no—
294#66932—42no—
295#66930—42no—
296C4×D44—24no—
297#66925—42no—
298C42×D11—24no—
299C42×D11—42no—
300C42×D11—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#35042—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C2×C22⋊D11—22no—
376C2×C22⋊D11—22no—
377C2×C22⋊D11—22no—
378C2×C22⋊D11—22no—
379C2×C22⋊D11—41no—
380C2×C22⋊D11—41no—
381C22×Dic11—22no—
382C22×Dic11—41no—
383C22×Dic11—41no—
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C2×D44—22no—
399C2×D44—22no—
400C2×D44—22no—
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11—41no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11#4114yes—
423C2×C4×D11#4114yes—
424C2×C4×D11#4114yes—
425C2×Dic22—22no—
426C2×Dic22—41no—
427C2×Dic22—41no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C42×C11—22no—
445C42×C11—22no—
446C42×C11—41no—
447C42×C11—41no—
448C42×C11—41no—
449C22⋊Dic11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—41no—
452C22⋊Dic11—41no—
453C22⋊Dic11—41no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472C4⋊Dic11—22no—
473C4⋊Dic11—22no—
474C4⋊Dic11—22no—
475C4⋊Dic11—22no—
476C4⋊Dic11—22no—
477C4⋊Dic11—22no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482C4⋊Dic11—41no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514#2855—111no—
515#2854—111no—
516#2852—111no—
517#2852—111no—
518#2646—111no—
519#2639—111no—
520#2623—111no—
521#2623—111no—
522#2597—111no—
523#2597—111no—
524#2596—111no—
525#2596D1111yescharacteristic, complemented
526#2590—111no—
527#2590—111no—
528#2589—111no—
529#2589—111no—
530#2533—111no—
531#2533—111no—
532#2532—111no—
533#2532—111no—
534#2479—111no—
535#2479—111no—
536#2478—111no—
537#2478—111no—
538#2329—111no—
539#2325—111no—
540#2322—111no—
541#2322—111no—
542#2290—111no—
543#2290—111no—
544C2×C4×C4⋊C4—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11C2511yescharacteristic
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11C2×#4112yes—
565C22×D11C2×#4112yes—
566C22×D11C2×#4112yes—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11C2×#4112yes—
606C2×C4×C11C2×#4112yes—
607C2×C4×C11C2×#4112yes—
608C2×C4×C112−1+412yes—
609C22⋊D11—44no—
610C22⋊D11—82no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—44no—
650C2×Dic11C2×#4112yes—
651C2×Dic11C2×#4112yes—
652C2×Dic11C2×#4112yes—
653C2×Dic11H(5,𝔽2)12yes—
654D44—44no—
655C4×D11—28no—
656C4×D11—28no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—44no—
662C4×D11—44no—
663Dic22—82no—
664C2×#126—111no—
665C2×#126—111no—
666C2×#123—111no—
667C2×#123—111no—
668C2×C22⋊Q8—111no—
669C2×#121—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C2×#117—111no—
674C22×C4⋊C4—111no—
675C22×C4⋊C4—111no—
676C22×C42—111no—
677C22×C42—111no—
678C22×C42—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400C2×D1111yescharacteristic
688#400C2×D1111yescharacteristic
689#399—111no—
690#399—111no—
691#399—111no—
692#399C2×D1111yescharacteristic
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#398—111no—
700#398—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397C2×D1111yescharacteristic
707#394—111no—
708#394—111no—
709#393—111no—
710#393—111no—
711#391—111no—
712#391—111no—
713#391—111no—
714#391—111no—
715#390—111no—
716#390—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#389—111no—
723#389—111no—
724#389—111no—
725#389—111no—
726#389C2×D1111yescharacteristic
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388C2×D1111yescharacteristic
743#388C2×D1111yescharacteristic
744#388C2×D1111yescharacteristic
745#388C2×D1111yescharacteristic
746#388C2×D1111yescharacteristic
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#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387C2×D1111yescharacteristic
769#387C2×D1111yescharacteristic
770#387C2×D1111yescharacteristic
771#386—111no—
772#386—111no—
773#386—111no—
774#386—111no—
775#386—111no—
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#386—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#383—111no—
796#383—111no—
797#381—111no—
798#381—111no—
799#380—111no—
800#380—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4C2×D1111yescharacteristic
810C4×C4⋊C4C2×D1111yescharacteristic
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815#376—111no—
816#376—111no—
817C2×#95—111no—
818C2×#95—111no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11C22×#4111yescharacteristic
827C22×C11C22×#4111yescharacteristic
828C22×C11C22×#4111yescharacteristic
829C22×C11C2×H(5,𝔽2)11yescharacteristic
830C22×C11C2×2−1+411yescharacteristic
831C22×C11#58511yescharacteristic
832C22×C11#58511yescharacteristic
833C2×D11—22no—
834C2×D11—22no—
835C2×D11—22no—
836C2×D11—22no—
837C2×D11—22no—
838C2×D11—22no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C2×D11—41no—
844C2×D11—41no—
845C2×D11—41no—
846C2×D11#52914yes—
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—22no—
850C4×C11—22no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861Dic11—22no—
862Dic11—22no—
863Dic11—22no—
864Dic11—22no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875C22×Q8—111no—
876C22×D4—111no—
877C22×D4—111no—
878C22×D4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888#126—442no—
889#126—442no—
890#123—224no—
891#123—224no—
892C22⋊Q8—224no—
893#121—224no—
894C4×D4—224no—
895C4×D4—224no—
896#117—442no—
897#117—442no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—224no—
928C2×C4⋊C4—224no—
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
937C2×C4⋊C4C22×D1111yescharacteristic
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4C22×D1111yescharacteristic
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—224no—
982C2×C42—442no—
983C2×C42—442no—
984C2×C42C22×D1111yescharacteristic
985C2×C42C22×D1111yescharacteristic
986C2×C42C22×D1111yescharacteristic
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045C2×C11—81no—
1046C2×C11C2×#52911yescharacteristic
1047C2×C11#345911yescharacteristic
1048C2×C11#346111yescharacteristic
1049C2×C11#349111yescharacteristic
1050C2×C11#349211yescharacteristic
1051C2×C11#350611yescharacteristic
1052C2×C11#350711yescharacteristic
1053D11—24no—
1054D11—81no—
1055C24—111no—
1056C24—111no—
1057C24C23×D1111yescharacteristic
1058C2×Q8—222no—
1059C2×Q8—441no—
1060C2×Q8—441no—
1061C2×D4—222no—
1062C2×D4—222no—
1063C2×D4—222no—
1064C2×D4—222no—
1065C2×D4—222no—
1066C2×D4—222no—
1067C2×D4—222no—
1068C2×D4—441no—
1069C2×D4—441no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—114no—
1075C22×C4—114no—
1076C22×C4—114no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—222no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—222no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4—441no—
1100C22×C4—441no—
1101C22×C4—441no—
1102C22×C4—441no—
1103C22×C4—441no—
1104C22×C4—441no—
1105C22×C4—441no—
1106C22×C4—441no—
1107C22×C4—441no—
1108C22×C4—441no—
1109C22×C4—441no—
1110C22×C4—441no—
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C4⋊C4—441no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—222no—
1171C22⋊C4—222no—
1172C22⋊C4—222no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—222no—
1176C22⋊C4—222no—
1177C22⋊C4—222no—
1178C22⋊C4—222no—
1179C22⋊C4—222no—
1180C22⋊C4—222no—
1181C22⋊C4—222no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—441no—
1185C22⋊C4—441no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C22⋊C4—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C42—22no—
1194C42—22no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—441no—
1207C42—441no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C11#3504211yescharacteristic, complemented, Sylow
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—112no—
1220C23—112no—
1221C23—112no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23—221no—
1232C23—221no—
1233C23C24×D1111yescharacteristic
1234Q8—882no—
1235D4—444no—
1236D4—444no—
1237D4—882no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—112no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—228no—
1281C2×C4—228no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—444no—
1321C2×C4—444no—
1322C2×C4—444no—
1323C2×C4—444no—
1324C2×C4—444no—
1325C2×C4—444no—
1326C2×C4—444no—
1327C2×C4#41×D1112yes—
1328C2×C4#41×D1112yes—
1329C2×C4#41×D1112yes—
1330C2×C4#6704312yes—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—114no—
1339C22—222no—
1340C22—222no—
1341C22—222no—
1342C22—222no—
1343C22—222no—
1344C22—222no—
1345C22—441no—
1346C22—441no—
1347C22—441no—
1348C22—441no—
1349C22—441no—
1350C22—441no—
1351C22—441no—
1352C22C2×#41×D1111yescharacteristic
1353C22C2×#41×D1111yescharacteristic
1354C22C2×#41×D1111yescharacteristic
1355C22C2×#6704311yescharacteristic
1356C22#1062345311yescharacteristic
1357C22D11×H(5,𝔽2)11yescharacteristic
1358C22#1062345711yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—222no—
1374C4—222no—
1375C4—222no—
1376C4—222no—
1377C4—441no—
1378C4—441no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C2—81no—
1388C2—224no—
1389C2—881no—
1390C2D11×#52911yescharacteristic
1391C2#1308202411yescharacteristic
1392C2#1308204111yescharacteristic
1393C2#1308231111yescharacteristic
1394C2#1308232011yescharacteristic
1395C2#1308246411yescharacteristic
1396C2#1308247111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2596C2
prime radicalC2×#66937C22
hypercenter#2596D11
hypocenterC11#35042
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2596

Complements

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

NH ≅ G/Ntype
1. #13076954C2semidirect
3. #13076934C2semidirect
4. #13076930C2semidirect
5. #13074587C2semidirect
7. #13074403C2semidirect
8. #13074401C2semidirect
9. #13074173C2semidirect
10. #13074169C2semidirect
11. #13074156C2semidirect
12. #13074080C2semidirect
13. #13074076C2semidirect
14. #13074067C2semidirect
15. #13074063C2semidirect
16. #13073490C2semidirect
17. #13073488C2semidirect
18. #13073479C2semidirect
19. #13073477C2semidirect
20. #13072852C2semidirect
21. #13072850C2semidirect
22. #13072839C2semidirect
23. #13072825C2semidirect
24. #13071345C2semidirect
26. #13071289C2semidirect
27. #13071286C2semidirect
28. #13071058C2semidirect
29. #13071057C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2596C2semidirect
525. #2596D11semidirect
1211. C11#35042semidirect

Maximal subgroups

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

subgroupindex
#130769542
#130769432
#130769342
#130769302
#130745872
#130745432
#130744032
#130744012
#130741732
#130741692
#130741562
#130740802
#130740762
#130740672
#130740632
#130734902
#130734882
#130734792
#130734772
#130728522
#130728502
#130728392
#130728252
#130713452
#130713202
#130712892
#130712862
#130710582
#130710572
C4×C4⋊C4×D112
C11×#25962
#3504211