Finite Group Databasebeta

← #14926883

Subgroups — #14926883

Order 2816.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076997C211yesmaximal, characteristic, complemented
2#13076992C211yesmaximal, characteristic, complemented
3#13076967C211yesmaximal, characteristic, complemented
4#13076951C211yesmaximal, characteristic, complemented
5#13074808C211yesmaximal, characteristic, complemented
6#13074806C211yesmaximal, characteristic, complemented
7#13074793C211yesmaximal, characteristic, complemented
8#13074793C211yesmaximal, characteristic, complemented
9#13074029C211yesmaximal, characteristic, complemented
10#13074024C211yesmaximal, characteristic, complemented
11#13073894C211yesmaximal, characteristic, complemented
12#13073886C211yesmaximal, characteristic, complemented
13#13073186C211yesmaximal, characteristic, complemented
14#13073111C211yesmaximal, characteristic, complemented
15#13072985C211yesmaximal, characteristic, complemented
16#13072442C211yesmaximal, characteristic
17#13072440C211yesmaximal, characteristic
18#13072387C211yesmaximal, characteristic, complemented
19#13072317C211yesmaximal, characteristic, complemented
20#13072258C211yesmaximal, characteristic, complemented
21#13072210C211yesmaximal, characteristic, complemented
22#13072066C211yesmaximal, characteristic
23#13071980C211yesmaximal, characteristic
24#13071347C211yesmaximal, characteristic, complemented
25#13071346C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic
27#13071244C211yesmaximal, characteristic
28#13071148C211yesmaximal, characteristic, complemented
29C2×#10622259C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
31C11×#2505C211yesmaximal, characteristic, complemented
32C23×Dic22C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×#66977C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66941C2211yescharacteristic
42C2×#66941C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×C42×D11C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#389C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#382C2211yescharacteristic
61C11×#380C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C2×C11×#95C2211yescharacteristic
64#10622826C2211yescharacteristic
65#10622826C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622823C2211yescharacteristic
68C2×C11⋊#95C2211yescharacteristic
69C2×C11⋊#95C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622600C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622593C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622592C2211yescharacteristic
83#10622592C2211yescharacteristic
84#10622592C2211yescharacteristic
85#10622592C2211yescharacteristic
86#10622592C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622590C2211yescharacteristic
94#10622590C2211yescharacteristic
95#10622589C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97#10622587C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622555C2211yescharacteristic
111#10622555C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117#10622549C2211yescharacteristic
118#10622546C2211yescharacteristic
119#10622546C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122#10622541C2211yescharacteristic
123#10622289C2211yescharacteristic
124#10622289C2211yescharacteristic
125#10622286C2211yescharacteristic
126#10622286C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622286C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622283C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622280C2211yescharacteristic
133#10622280C2211yescharacteristic
134#10622280C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622277C2211yescharacteristic
138#10622277C2211yescharacteristic
139#10622273C2211yescharacteristic
140#10622273C2211yescharacteristic
141#10622273C2211yescharacteristic
142#10622271C2211yescharacteristic
143#10622271C2211yescharacteristic
144#10622270C2211yescharacteristic
145#10622270C2211yescharacteristic
146#10622270C2211yescharacteristic
147#10622270C2211yescharacteristic
148#10622269C2211yescharacteristic
149#10622269C2211yescharacteristic
150#10622269C2211yescharacteristic
151#10622268C2211yescharacteristic
152#10622268C2211yescharacteristic
153#10622266C2211yescharacteristic
154#10622266C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622265C2211yescharacteristic
159#10622265C2211yescharacteristic
160#10622264C2211yescharacteristic
161#10622264C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622260C2211yescharacteristic
167#10622260C2211yescharacteristic
168#10622259C2211yescharacteristic
169#10622259C2211yescharacteristic
170#10622259C2211yescharacteristic
171#10622259C2211yescharacteristic
172#10622259C2211yescharacteristic
173#10622259C2211yescharacteristic
174#10622259C2211yescharacteristic
175#10622259C2211yescharacteristic
176#10622259C2211yescharacteristic
177#10622259C2211yescharacteristic
178#10622259C2211yescharacteristic
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×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×Dic22—24no—
199C22×Dic22—42no—
200C22×Dic22—42no—
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246#66977—24no—
247C2×Dic11⋊C4—42no—
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×C4×Dic11—42no—
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
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289#66949—42no—
290#66949—42no—
291#66949—42no—
292#66941—42no—
293#66941—42no—
294#66941—42no—
295#66940—42no—
296(C22⋊D11)⋊C4—24no—
297(C22⋊D11)⋊C4Q818yescomplemented
298#66931—24no—
299#66931—24no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361#35016—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C23×D11C2411yescharacteristic
364C22×C4×C11—22no—
365C22×C4×C11—22no—
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—41no—
369C22×C4×C11—41no—
370C22×C4×C11—41no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11C2×Q814yes—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11—41no—
398C22×Dic11—41no—
399C22×Dic11—41no—
400C22×Dic11C2×Q814yes—
401C22×Dic11#4114yes—
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11C2×Q814yescomplemented
426C2×Dic22—22no—
427C2×Dic22—22no—
428C2×Dic22—22no—
429C2×Dic22—22no—
430C2×Dic22—22no—
431C2×Dic22—22no—
432C2×Dic22—22no—
433C2×Dic22—22no—
434C2×Dic22—22no—
435C2×Dic22—22no—
436C2×Dic22—22no—
437C2×Dic22—22no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C2×Dic22—41no—
445C2×Dic22—41no—
446C2×Dic22—41no—
447C2×Dic22—416no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4C2×Q814yes—
462C42×C11—22no—
463C42×C11—41no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11#4114yes—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4C2×Q814yescomplemented
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—22no—
481C4⋊Dic11—41no—
482C4⋊Dic11—41no—
483C4⋊Dic11—41no—
484C4⋊Dic11—41no—
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—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4C2×Q814yescomplemented
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11C2×Q814yescomplemented
525#2863—111no—
526#2862—111no—
527#2857—111no—
528#2855—111no—
529#2666—111no—
530#2666—111no—
531#2665—111no—
532#2665—111no—
533#2586—111no—
534#2586—111no—
535#2574—111no—
536#2574—111no—
537#2511—111no—
538#2505—111no—
539#2505D1111yescharacteristic, complemented
540#2492—111no—
541#2450—111no—
542#2450—111no—
543#2446—111no—
544#2440—111no—
545#2434—111no—
546#2429—111no—
547#2417—111no—
548#2409—111no—
549#2329—111no—
550#2329—111no—
551#2318—111no—
552#2318—111no—
553C4×C22⋊Q8—111no—
554C2×#391—111no—
555C42×D4—111no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11C22×Q812yes—
561C23×C11C2×#4112yes—
562C23×C11C2×#4112yes—
563C23×C11C2511yescharacteristic
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11C22×Q812yes—
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×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—44no—
611C2×C4×C11—44no—
612C2×C4×C11—82no—
613C2×C4×C11C22×Q812yes—
614C2×C4×C11C22×Q812yes—
615C2×C4×C112−1+412yes—
616C22⋊D11—28no—
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—28no—
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—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—44no—
655C2×Dic11—44no—
656C2×Dic11—82no—
657C2×Dic11C22×Q812yes—
658C2×Dic11C22×Q812yes—
659C2×Dic11C22×Q812yes—
660C2×Dic11C2×#4112yes—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11H(5,𝔽2)12yes—
665C2×Dic11H(5,𝔽2)12yes—
666C4×D11—44no—
667C4×D11—44no—
668C4×D11—44no—
669Dic22—44no—
670Dic22—44no—
671Dic22—44no—
672Dic22—44no—
673Dic22—44no—
674Dic22—82no—
675Dic22—82no—
676C23×Q8—111no—
677C2×C4⋊Q8—111no—
678C2×C4⋊Q8—111no—
679C2×C4⋊Q8—111no—
680C2×C22⋊Q8—111no—
681C2×C22⋊Q8—111no—
682C2×C22⋊Q8—111no—
683C2×C22⋊Q8—111no—
684C2×C22⋊Q8—111no—
685C2×C22⋊Q8—111no—
686C2×C4×Q8—111no—
687C2×C4×D4—111no—
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C22×C4⋊C4—111no—
691C22×C42—111no—
692C22×C42—111no—
693#400—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#400C2×D1111yescharacteristic
699#400C2×D1111yescharacteristic
700#400C2×D1111yescharacteristic
701#398—111no—
702#398—111no—
703#398—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398C2×D1111yescharacteristic
709#396—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#395—111no—
714#395—111no—
715#395—111no—
716#395—111no—
717#395—111no—
718#395—111no—
719#395—111no—
720#395—111no—
721#393—111no—
722#393—111no—
723#393—111no—
724#393—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391—111no—
740#391—111no—
741#391—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389C2×D1111yescharacteristic
755#388—111no—
756#388—111no—
757#388—111no—
758#388—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#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387C2×D1111yescharacteristic
778#387C2×D1111yescharacteristic
779#386—111no—
780#386—111no—
781#386—111no—
782#386—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#385C2×D1111yescharacteristic
792#385C2×D1111yescharacteristic
793#385C2×D1111yescharacteristic
794#385C2×D1111yescharacteristic
795#384—111no—
796#383—111no—
797#383—111no—
798#382—111no—
799#382—111no—
800#382—111no—
801#382C2×D1111yescharacteristic
802#381—111no—
803#381—111no—
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809#380—111no—
810#380—111no—
811#380C2×D1111yescharacteristic
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4C2×D1111yescharacteristic
826C2×#95—111no—
827C2×#95—111no—
828C2×#95—111no—
829C2×#95C2×D1111yescharacteristic
830C43—111no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11#53314yes—
838C22×C11C23×Q811yescharacteristic
839C22×C11C22×#4111yescharacteristic
840C22×C11C22×#4111yescharacteristic
841C22×C11C2×H(5,𝔽2)11yescharacteristic
842C22×C11C2×H(5,𝔽2)11yescharacteristic
843C22×C11C2×2−1+411yescharacteristic
844C22×C11#58511yescharacteristic
845C2×D11—22no—
846C2×D11—22no—
847C2×D11—22no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C4×C11—22no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866Dic11—22no—
867Dic11—22no—
868Dic11—22no—
869Dic11—22no—
870Dic11—22no—
871Dic11—22no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11#53814yes—
881C22×Q8—111no—
882C22×Q8—111no—
883C22×Q8—111no—
884C22×Q8—111no—
885C22×Q8—111no—
886C22×Q8—111no—
887C22×Q8—111no—
888C22×Q8—224no—
889C22×Q8—442no—
890C22×Q8—442no—
891C22×D4—111no—
892C23×C4—111no—
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4C22×D1111yescharacteristic
900C23×C4C22×D1111yescharacteristic
901C23×C4C22×D1111yescharacteristic
902C4⋊Q8—442no—
903C4⋊Q8—442no—
904C4⋊Q8—442no—
905C22⋊Q8—224no—
906C22⋊Q8—224no—
907C22⋊Q8—224no—
908C22⋊Q8—442no—
909C22⋊Q8—442no—
910C22⋊Q8—442no—
911C4×Q8—442no—
912C4×D4—118no—
913C4×D4—224no—
914C4×D4—224no—
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—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—442no—
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—442no—
992C2×C42—442no—
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
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#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055C2×C11—24no—
1056C2×C11C2×#53311yescharacteristic
1057C2×C11C2×#53811yescharacteristic
1058C2×C11#346111yescharacteristic
1059C2×C11#350111yescharacteristic
1060C2×C11#350311yescharacteristic
1061C2×C11#351411yescharacteristic
1062C2×C11#352011yescharacteristic
1063D11—42no—
1064C24—111no—
1065C24C23×D1111yescharacteristic
1066C2×Q8—222no—
1067C2×Q8—222no—
1068C2×Q8—222no—
1069C2×Q8—222no—
1070C2×Q8—222no—
1071C2×Q8—222no—
1072C2×Q8—222no—
1073C2×Q8—222no—
1074C2×Q8—222no—
1075C2×Q8—222no—
1076C2×Q8—222no—
1077C2×Q8—222no—
1078C2×Q8—222no—
1079C2×Q8—441no—
1080C2×Q8—441no—
1081C2×Q8—441no—
1082C2×Q8—441no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×Q8—4416no—
1088C2×D4—114no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—111no—
1101C22×C4—114no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—114no—
1109C22×C4—114no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
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—
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C4⋊C4—22no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—114no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—114no—
1196C22⋊C4—114no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4Q8×D1114yes—
1210C42—22no—
1211C42—41no—
1212C42—114no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—441no—
1220C42—441no—
1221C42—441no—
1222C42—441no—
1223C42—441no—
1224C42—441no—
1225C42—441no—
1226C42—441no—
1227C11#3501611yescharacteristic, complemented, Sylow
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—112no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—221no—
1237C23—221no—
1238C23—221no—
1239C23C2×Q8×D1112yes—
1240C23#41×D1112yes—
1241C23#41×D1112yes—
1242C23C24×D1111yescharacteristic
1243Q8—444no—
1244Q8—444no—
1245Q8—444no—
1246Q8—444no—
1247Q8—444no—
1248Q8—882no—
1249Q8—882no—
1250D4—228no—
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—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—44no—
1291C2×C4—44no—
1292C2×C4—82no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—112no—
1297C2×C4—112no—
1298C2×C4—112no—
1299C2×C4—112no—
1300C2×C4—112no—
1301C2×C4—112no—
1302C2×C4—228no—
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—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—444no—
1340C2×C4—444no—
1341C2×C4—444no—
1342C2×C4—444no—
1343C2×C4—444no—
1344C2×C4—882no—
1345C2×C4C2×Q8×D1112yes—
1346C2×C4C2×Q8×D1112yes—
1347C2×C4#6704312yes—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—441no—
1358C22—441no—
1359C22—441no—
1360C22—441no—
1361C22#1062321914yes—
1362C22C22×Q8×D1111yescharacteristic
1363C22C2×#41×D1111yescharacteristic
1364C22C2×#41×D1111yescharacteristic
1365C22C2×#6704311yescharacteristic
1366C22#1062345311yescharacteristic
1367C22D11×H(5,𝔽2)11yescharacteristic
1368C22D11×H(5,𝔽2)11yescharacteristic
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—114no—
1384C4—222no—
1385C4—222no—
1386C4—222no—
1387C4—222no—
1388C4—222no—
1389C4—222no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C2—24no—
1399C2—442no—
1400C2C2×#1062321911yescharacteristic
1401C2D11×#53811yescharacteristic
1402C2#1308204511yescharacteristic
1403C2#1308241511yescharacteristic
1404C2#1308243011yescharacteristic
1405C2#1308256611yescharacteristic
1406C2#1308265411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2505C2
prime radicalC22×C22⋊D11C23
hypercenter#2505D11
hypocenterC11#35016
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #13076997C2semidirect
2. #13076992C2semidirect
3. #13076967C2semidirect
4. #13076951C2semidirect
5. #13074808C2semidirect
6. #13074806C2semidirect
7. #13074793C2semidirect
8. #13074793C2semidirect
9. #13074029C2semidirect
10. #13074024C2semidirect
11. #13073894C2semidirect
12. #13073886C2semidirect
13. #13073186C2semidirect
14. #13073111C2semidirect
15. #13072985C2semidirect
18. #13072387C2semidirect
19. #13072317C2semidirect
20. #13072258C2semidirect
21. #13072210C2semidirect
24. #13071347C2semidirect
25. #13071346C2semidirect
28. #13071148C2semidirect
29. C2×#10622259C2semidirect
31. C11×#2505C2semidirect
297. (C22⋊D11)⋊C4Q8semidirect
425. C2×C4×D11C2×Q8semidirect
477. (C2×D11)⋊C4C2×Q8semidirect
509. Dic11⋊C4C2×Q8semidirect
524. C4×Dic11C2×Q8semidirect
539. #2505D11semidirect
1227. C11#35016semidirect

Maximal subgroups

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

subgroupindex
#130769972
#130769922
#130769672
#130769512
#130748082
#130748062
#130747932
#130740292
#130740242
#130738942
#130738862
#130731862
#130731112
#130729852
#130724422
#130724402
#130723872
#130723172
#130722582
#130722102
#130720662
#130719802
#130713472
#130713462
#130712442
#130711482
C2×#106222592
C4×(C22⋊D11)⋊C42
C11×#25052
#3501611