Finite Group Databasebeta

← #14915219

Subgroups — #14915219

Order 2816.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic
2#13071745C211yesmaximal, characteristic, complemented
3#13071743C211yesmaximal, characteristic, complemented
4#13071737C211yesmaximal, characteristic, complemented
5#13071724C211yesmaximal, characteristic, complemented
6#13071698C211yesmaximal, characteristic, complemented
7#13071684C211yesmaximal, characteristic, complemented
8#13071667C211yesmaximal, characteristic, complemented
9#13071665C211yesmaximal, characteristic, complemented
10#13071650C211yesmaximal, characteristic, complemented
11#13071635C211yesmaximal, characteristic, complemented
12#13071623C211yesmaximal, characteristic, complemented
13#13071615C211yesmaximal, characteristic, complemented
14#13071599C211yesmaximal, characteristic, complemented
15#13071598C211yesmaximal, characteristic, complemented
16#13071594C211yesmaximal, characteristic, complemented
17#13071593C211yesmaximal, characteristic, complemented
18#13071424C211yesmaximal, characteristic, complemented
19#13071410C211yesmaximal, characteristic, complemented
20#13071385C211yesmaximal, characteristic, complemented
21#13071378C211yesmaximal, characteristic, complemented
22#13071245C211yesmaximal, characteristic, complemented
23#13071166C211yesmaximal, characteristic, complemented
24#13071157C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26#13071054C211yesmaximal, characteristic, complemented
27D11×#388C211yesmaximal, characteristic, complemented
28#13070976C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C4×C11×#123C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic, complemented
35C2×#66991C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic, complemented
43C22×(C2×D11)⋊C4C2211yescharacteristic
44#10623188C4116yescomplemented
45C2×#66951C2211yescharacteristic
46C2×#66950C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66945C2211yescharacteristic, complemented
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66940C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×#66932C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic
71C11×#385C2211yescharacteristic, complemented
72C11×#381C2211yescharacteristic, complemented
73C4×C11×C4⋊C4C2211yescharacteristic, complemented
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622834C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic, complemented
83#10622825C2211yescharacteristic, complemented
84#10622823C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic, complemented
87C4×C22⋊Dic11C2211yescharacteristic, complemented
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622598C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic, complemented
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic, complemented
112#10622564C2211yescharacteristic, complemented
113#10622563C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic, complemented
119#10622557C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic, complemented
127#10622553C2211yescharacteristic, complemented
128#10622552C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×C4⋊Dic11C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622545C2211yescharacteristic, complemented
141C4×Dic11⋊C4C2211yescharacteristic, complemented
142C4×Dic11⋊C4C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C42×Dic11C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#123C2×C418yescomplemented
214C4×D4×C11—42no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11—42no—
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#66991C2×C418yescomplemented
247#66990C2×C418yescomplemented
248#66983C2×C418yescomplemented
249C4×C22⋊D11—24no—
250C4×C22⋊D11—24no—
251C4×C22⋊D11—42no—
252C4×C22⋊D11—42no—
253C4×C22⋊D11C2×C418yescomplemented
254C2×(C2×D11)⋊C4—24no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66951C2×C418yescomplemented
316#66950C2×C418yescomplemented
317#66947C2×C418yescomplemented
318#66946—24no—
319#66946C2×C418yescomplemented
320#66945—42no—
321C4⋊C4×D11—42no—
322#66940—42no—
323#66938C2×C418yescomplemented
324#66938C2×C418yescomplemented
325#66937C2×C418yescomplemented
326#66935C2×C418yescomplemented
327(C22⋊D11)⋊C4—42no—
328C22⋊C4×D11—24no—
329C22⋊C4×D11—42no—
330C22⋊C4×D11—42no—
331C22⋊C4×D11C2×C418yescomplemented
332#66932C2×C418yescomplemented
333C4×D44—24no—
334C4×D44—42no—
335C42×D11—42no—
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
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34283—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11C22×C414yes—
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11C22×C414yes—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C22×Dic11—22no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44C22×C414yes—
450C2×D44C22×C414yes—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22C22×C414yes—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4C22×C414yes—
491C11×C4⋊C4C22×C414yes—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4C22×C414yes—
498C11×C22⋊C4C22×C414yes—
499C11×C22⋊C4C22×C414yes—
500C42×C11—22no—
501C42×C11—22no—
502C42×C11—22no—
503C42×C11—41no—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11—41no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11C22×C414yes—
515C22⋊Dic11C22×C414yes—
516C22⋊Dic11C22×C414yes—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4C22×C414yes—
532(C2×D11)⋊C4C22×C414yes—
533(C2×D11)⋊C4C22×C414yes—
534(C2×D11)⋊C4C22×C414yes—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537(C2×D11)⋊C4C22×C414yes—
538(C2×D11)⋊C4C22×C414yes—
539(C2×D11)⋊C4#4114yes—
540(C2×D11)⋊C4#4114yes—
541C4⋊Dic11—22no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11C22×C414yes—
547C4⋊Dic11C22×C414yes—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4C22×C414yes—
557Dic11⋊C4C22×C414yes—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11C22×C414yes—
576C4×Dic11C22×C414yes—
577C2×#538—111no—
578#2374—111no—
579#2373—111no—
580#2373—111no—
581#2372—111no—
582#2368—111no—
583#2367—111no—
584#2364—111no—
585#2364—111no—
586#2363—111no—
587#2361—111no—
588#2360—111no—
589#2359—111no—
590#2358—111no—
591#2358—111no—
592#2358—111no—
593#2358—111no—
594#2337—111no—
595#2335—111no—
596#2334—111no—
597#2333—111no—
598#2318—111no—
599C4×#126—111no—
600C4×#124—111no—
601C4×#123D1111yescharacteristic, complemented
602C4×#121—111no—
603#2290—111no—
604C2×#388—111no—
605#2275—111no—
606#2273—111no—
607C42×D4—111no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11C2511yescharacteristic
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—28no—
640C22×D11—44no—
641C22×D11—44no—
642C22×D11—82no—
643C22×D11—82no—
644C22×D11—82no—
645C22×D11—82no—
646C22×D11C23×C412yes—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C2×#4112yes—
650C22×D11C2×#4112yes—
651D4×C11—44no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—44no—
683C2×C4×C11—44no—
684C2×C4×C11—44no—
685C2×C4×C11—82no—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11H(5,𝔽2)12yes—
694C2×C4×C11H(5,𝔽2)12yes—
695C22⋊D11—28no—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—82no—
732C2×Dic11C23×C412yes—
733C2×Dic11C23×C412yes—
734C2×Dic11C23×C412yes—
735C2×Dic11C23×C412yes—
736C2×Dic11C23×C412yes—
737C2×Dic11C2×#4112yes—
738C2×Dic11C2×#4112yes—
739D44—28no—
740D44—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—82no—
747C4×D11—82no—
748C4×D11—82no—
749C4×D11—82no—
750C4×D11—82no—
751C4×D11—82no—
752Dic22—44no—
753#538—1116no—
754C2×#126—111no—
755C2×#126—111no—
756C2×#124—111no—
757C2×#124—111no—
758C2×#123—111no—
759C2×#123C2×D1111yescharacteristic
760C2×C22⋊Q8—111no—
761C2×#121—111no—
762C2×#121—111no—
763C2×#121—111no—
764C2×#120—111no—
765C2×#120—111no—
766C2×C4×Q8—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4C2×D1111yescharacteristic
778C2×#117—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C42—111no—
786C22×C42C2×D1111yescharacteristic, complemented
787#391—111no—
788#391—111no—
789#391—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#390—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388C2×D1111yescharacteristic
822#388C2×D1111yescharacteristic
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387C2×D1111yescharacteristic, complemented
834#387C2×D1111yescharacteristic, complemented
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386C2×D1111yescharacteristic
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385C2×D1111yescharacteristic, complemented
859#383—111no—
860#382—111no—
861#381C2×D1111yescharacteristic, complemented
862#380—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4C2×D1111yescharacteristic, complemented
873C4×C4⋊C4C2×D1111yescharacteristic, complemented
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4C2×D1111yescharacteristic
901C4×C22⋊C4C2×D1111yescharacteristic
902C4×C22⋊C4C2×D1111yescharacteristic, complemented
903#376—111no—
904#376—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11C24×C411yescharacteristic
924C22×C11C22×#4111yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11#58511yescharacteristic
929C22×C11#58511yescharacteristic
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—88no—
951C2×D11C4×#4114yes—
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978C25—111no—
979C22×Q8—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4C22×D1111yescharacteristic
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4C22×D1111yescharacteristic
1000C23×C4C22×D1111yescharacteristic
1001C23×C4C22×D1111yescharacteristic
1002C23×C4C22×D1111yescharacteristic
1003#126—118no—
1004#126—118no—
1005#124—118no—
1006#124—118no—
1007#123—118no—
1008#123C4×D1118yescomplemented
1009C22⋊Q8—118no—
1010#121—118no—
1011#121—118no—
1012#121—118no—
1013#120—118no—
1014#120—118no—
1015C4×Q8—442no—
1016C4×D4—42no—
1017C4×D4—118no—
1018C4×D4—118no—
1019C4×D4—224no—
1020C4×D4—224no—
1021C4×D4—224no—
1022C4×D4—224no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—442no—
1027#117—442no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—442no—
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—118no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—224no—
1087C2×C22⋊C4—224no—
1088C2×C22⋊C4—442no—
1089C2×C22⋊C4—442no—
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C42—42no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—442no—
1119C2×C42C22×D1111yescharacteristic
1120C2×C42C22×D1111yescharacteristic
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166C2×C11—42no—
1167C2×C11—42no—
1168C2×C11C2×C4×#4111yescharacteristic
1169C2×C11C4×H(5,𝔽2)11yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11#351311yescharacteristic
1172C2×C11#351411yescharacteristic
1173C2×C11#351911yescharacteristic
1174C2×C11#352111yescharacteristic
1175D11—24no—
1176D11—42no—
1177D11—42no—
1178C24—111no—
1179C24—111no—
1180C24—111no—
1181C24—114no—
1182C24—222no—
1183C24—222no—
1184C24—441no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C2×Q8—114no—
1191C2×Q8—441no—
1192C2×Q8—441no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—114no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4C2×C4×D1114yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4C2×C4×D1114yes—
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—114no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4C2×C4×D1114yes—
1309C4⋊C4C2×C4×D1114yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—114no—
1316C22⋊C4—114no—
1317C22⋊C4—114no—
1318C22⋊C4—114no—
1319C22⋊C4—114no—
1320C22⋊C4—114no—
1321C22⋊C4—114no—
1322C22⋊C4—114no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4C2×C4×D1114yes—
1350C22⋊C4C2×C4×D1114yes—
1351C22⋊C4C2×C4×D1114yes—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—114no—
1360C42—114no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C11#3428311yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—112no—
1392C23—112no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—228no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—444no—
1414C23—444no—
1415C23—882no—
1416C23—882no—
1417C23—882no—
1418C23—882no—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23C24×D1111yescharacteristic
1422Q8—444no—
1423D4—44no—
1424D4—228no—
1425D4—228no—
1426D4—444no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—82no—
1464C2×C4—112no—
1465C2×C4—112no—
1466C2×C4—112no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—882no—
1509C2×C4—882no—
1510C2×C4—882no—
1511C2×C4—882no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4C22×C4×D1112yes—
1516C2×C4C22×C4×D1112yes—
1517C2×C4C22×C4×D1112yes—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4#6703712yes—
1521C2×C4#41×D1112yes—
1522C2×C4#41×D1112yes—
1523C2×C4#6704212yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—114no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—888no—
1560C22C23×C4×D1111yescharacteristic
1561C22C2×#6703711yescharacteristic
1562C22C2×#41×D1111yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22C2×#6704211yescharacteristic
1565C22#1062345311yescharacteristic
1566C22#1062345311yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—441no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C2—42no—
1594C2—42no—
1595C2—224no—
1596C2—442no—
1597C2—442no—
1598C2C4×#41×D1111yescharacteristic
1599C2C4×#6703711yescharacteristic
1600C2C4×#6704211yescharacteristic
1601C2#1308254811yescharacteristic
1602C2#1308257911yescharacteristic
1603C2#1308263611yescharacteristic
1604C2#1308267811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#123C2
socle, cosocleC23×C11C25
prime radicalC2×#10623188C2
hypercenterC4×#123D11
hypocenterC11#34283
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #13071745C2semidirect
3. #13071743C2semidirect
4. #13071737C2semidirect
5. #13071724C2semidirect
6. #13071698C2semidirect
7. #13071684C2semidirect
8. #13071667C2semidirect
9. #13071665C2semidirect
10. #13071650C2semidirect
11. #13071635C2semidirect
12. #13071623C2semidirect
13. #13071615C2semidirect
14. #13071599C2semidirect
15. #13071598C2semidirect
16. #13071594C2semidirect
17. #13071593C2semidirect
18. #13071424C2semidirect
19. #13071410C2semidirect
20. #13071385C2semidirect
21. #13071378C2semidirect
22. #13071245C2semidirect
23. #13071166C2semidirect
24. #13071157C2semidirect
25. C4×#66983C2semidirect
26. #13071054C2semidirect
27. D11×#388C2semidirect
28. #13070976C2semidirect
29. #13070968C2semidirect
30. C42×C22⋊D11C2semidirect
31. C4×C11×#123C2semidirect
34. C22×C42×C11C22semidirect
42. C2×C4×C22⋊D11C22semidirect
44. #10623188C4semidirect
50. C2×#66945C22semidirect
52. C2×#66940C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
71. C11×#385C22semidirect
72. C11×#381C22semidirect
73. C4×C11×C4⋊C4C22semidirect
74. C4×C11×C4⋊C4C22semidirect
77. C4×C11×C22⋊C4C22semidirect
82. #10622826C22semidirect
83. #10622825C22semidirect
86. C4×C22⋊Dic11C22semidirect
87. C4×C22⋊Dic11C22semidirect
88. C4×C22⋊Dic11C22semidirect
91. #10622603C22semidirect
94. #10622598C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. #10622585C22semidirect
103. #10622570C22semidirect
108. #10622569C22semidirect
111. #10622564C22semidirect
112. #10622564C22semidirect
118. #10622557C22semidirect
119. #10622557C22semidirect
126. #10622553C22semidirect
127. #10622553C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×C4⋊Dic11C22semidirect
139. #10622546C22semidirect
140. #10622545C22semidirect
141. C4×Dic11⋊C4C22semidirect
142. C4×Dic11⋊C4C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C42×Dic11C22semidirect
145. #10622542C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
151. #10622282C22semidirect
156. #10622281C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
173. D11×#95C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#123C2×C4semidirect
246. #66991C2×C4semidirect
247. #66990C2×C4semidirect
248. #66983C2×C4semidirect
253. C4×C22⋊D11C2×C4semidirect
315. #66951C2×C4semidirect
316. #66950C2×C4semidirect
317. #66947C2×C4semidirect
319. #66946C2×C4semidirect
323. #66938C2×C4semidirect
324. #66938C2×C4semidirect
325. #66937C2×C4semidirect
326. #66935C2×C4semidirect
331. C22⋊C4×D11C2×C4semidirect
332. #66932C2×C4semidirect
601. C4×#123D11semidirect
786. C22×C42C2×D11semidirect
833. #387C2×D11semidirect
834. #387C2×D11semidirect
858. #385C2×D11semidirect
861. #381C2×D11semidirect
872. C4×C4⋊C4C2×D11semidirect
873. C4×C4⋊C4C2×D11semidirect
902. C4×C22⋊C4C2×D11semidirect
1008. #123C4×D11semidirect
1378. C11#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
#130717452
#130717432
#130717372
#130717242
#130716982
#130716842
#130716672
#130716652
#130716502
#130716352
#130716232
#130716152
#130715992
#130715982
#130715942
#130715932
#130714242
#130714102
#130713852
#130713782
#130712452
#130711662
#130711572
C4×#669832
#130710542
D11×#3882
#130709762
#130709682
C42×C22⋊D112
C4×C11×#1232
#3428311