Finite Group Databasebeta

← #14915204

Subgroups — #14915204

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×#10623144C211yesmaximal, characteristic
2#13071747C211yesmaximal, characteristic, complemented
3#13071738C211yesmaximal, characteristic, complemented
4#13071733C211yesmaximal, characteristic, complemented
5#13071724C211yesmaximal, characteristic, complemented
6#13071700C211yesmaximal, characteristic, complemented
7#13071682C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic, complemented
9#13071665C211yesmaximal, characteristic, complemented
10#13071637C211yesmaximal, characteristic, complemented
11#13071618C211yesmaximal, characteristic, complemented
12#13071608C211yesmaximal, characteristic, complemented
13#13071597C211yesmaximal, characteristic, complemented
14#13071597C211yesmaximal, characteristic, complemented
15#13071596C211yesmaximal, characteristic, complemented
16#13071593C211yesmaximal, characteristic, complemented
17#13071425C211yesmaximal, characteristic, complemented
18#13071403C211yesmaximal, characteristic, complemented
19#13071390C211yesmaximal, characteristic, complemented
20#13071375C211yesmaximal, characteristic, complemented
21#13071246C211yesmaximal, characteristic, complemented
22C4×#66951C211yesmaximal, characteristic, complemented
23#13071163C211yesmaximal, characteristic, complemented
24C4×#66988C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#13071053C211yesmaximal, characteristic, complemented
27D11×#388C211yesmaximal, characteristic, complemented
28#13070975C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2363C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic, complemented
35C2×#66992C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66989C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic, complemented
43C2×#66982C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic, complemented
48#10623144C4116yescomplemented
49C2×#66951C2211yescharacteristic
50C2×#66949C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66940C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×#66932C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C11×#390C2211yescharacteristic
67C11×#390C2211yescharacteristic
68C11×#390C2211yescharacteristic, complemented
69C11×#389C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic
71C11×#388C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic, complemented
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic, complemented
82#10622826C2211yescharacteristic
83#10622823C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic, complemented
87C4×C22⋊Dic11C2211yescharacteristic, complemented
88C2×C11⋊#95C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic, complemented
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic, complemented
118#10622559C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic, complemented
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622556C2211yescharacteristic, complemented
132#10622555C2211yescharacteristic, complemented
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic, complemented
137C22⋊C4×Dic11C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic
142#10622553C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic
147C4×(C2×D11)⋊C4C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622545C2211yescharacteristic, complemented
157C4×Dic11⋊C4C2211yescharacteristic, complemented
158C4×Dic11⋊C4C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622542C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
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×#121C2×C418yescomplemented
214C4×D4×C11—42no—
215C11×#117—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66992C2×C418yescomplemented
254#66991C2×C418yescomplemented
255#66990C2×C418yescomplemented
256#66990C2×C418yescomplemented
257#66989C2×C418yescomplemented
258#66988C2×C418yescomplemented
259D4×Dic11—42no—
260D4×Dic11—42no—
261#66982C2×C418yescomplemented
262C4×C22⋊D11—24no—
263C4×C22⋊D11C2×C418yescomplemented
264C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11—42no—
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
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319#66951C2×C418yescomplemented
320#66949C2×C418yescomplemented
321C4⋊C4×D11—42no—
322#66940—42no—
323#66938C2×C418yescomplemented
324(C22⋊D11)⋊C4—24no—
325(C22⋊D11)⋊C4—24no—
326(C22⋊D11)⋊C4—24no—
327(C22⋊D11)⋊C4—42no—
328(C22⋊D11)⋊C4—42no—
329(C22⋊D11)⋊C4C2×C418yescomplemented
330C22⋊C4×D11—24no—
331C22⋊C4×D11—42no—
332C22⋊C4×D11—42no—
333C22⋊C4×D11C2×C418yescomplemented
334#66932C2×C418yescomplemented
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
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11C22×C414yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11C22×C414yes—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11C22×C414yes—
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
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C2×C22⋊D11C22×C414yes—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11C22×C414yes—
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
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×D11—41no—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22C22×C414yes—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4C22×C414yes—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4C22×C414yes—
504C42×C11—22no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11C22×C414yes—
519C22⋊Dic11C22×C414yes—
520C22⋊Dic11C22×C414yes—
521C22⋊Dic11C22×C414yes—
522C22⋊Dic11C22×C414yes—
523C22⋊Dic11C22×C414yes—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
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)⋊C4#4114yes—
539(C2×D11)⋊C4#4114yes—
540C4⋊Dic11—22no—
541C4⋊Dic11—41no—
542C4⋊Dic11C22×C414yes—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4C22×C414yes—
554Dic11⋊C4C22×C414yes—
555Dic11⋊C4C22×C414yes—
556Dic11⋊C4C22×C414yes—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
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#2363D1111yescharacteristic, complemented
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×#123—111no—
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×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11C23×C412yes—
627C23×C11C23×C412yes—
628C23×C11C23×C412yes—
629C23×C11C2511yescharacteristic
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—21no—
640C22×D11—28no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—82no—
644C22×D11—82no—
645C22×D11—82no—
646C22×D11—82no—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C2×#4112yes—
650C22×D11C2×#4112yes—
651D4×C11—44no—
652D4×C11—44no—
653D4×C11—44no—
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—21no—
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×C11C2×#4112yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11H(5,𝔽2)12yes—
693C22⋊D11—28no—
694C22⋊D11—28no—
695C22⋊D11—44no—
696C22⋊D11—44no—
697C2×Dic11—21no—
698C2×Dic11—21no—
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—44no—
731C2×Dic11—44no—
732C2×Dic11—82no—
733C2×Dic11—82no—
734C2×Dic11—82no—
735C2×Dic11C23×C412yes—
736C2×Dic11C23×C412yes—
737C2×Dic11C23×C412yes—
738C2×Dic11C23×C412yes—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C2×#4112yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11H(5,𝔽2)12yes—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
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×#123—111no—
760C2×C22⋊Q8—111no—
761C2×#121—111no—
762C2×#121—111no—
763C2×#121C2×D1111yescharacteristic
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×#117C2×D1111yescharacteristic, complemented
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×C42—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#390—111no—
791#390—111no—
792#390C2×D1111yescharacteristic
793#390C2×D1111yescharacteristic
794#390C2×D1111yescharacteristic, complemented
795#389—111no—
796#389—111no—
797#389—111no—
798#389C2×D1111yescharacteristic, complemented
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, complemented
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#387—111no—
834#387—111no—
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#386C2×D1111yescharacteristic
848#386C2×D1111yescharacteristic, complemented
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#385—111no—
859#383—111no—
860#382—111no—
861#381—111no—
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⋊C4—111no—
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, complemented
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—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11C24×C411yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11#58511yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
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—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964Dic11—22no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
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×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
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×C4—111no—
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#123—118no—
1009C22⋊Q8—118no—
1010#121—118no—
1011#121—118no—
1012#121C4×D1118yescomplemented
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—42no—
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—111no—
1065C2×C22⋊C4—118no—
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—224no—
1083C2×C22⋊C4—224no—
1084C2×C22⋊C4—442no—
1085C2×C22⋊C4—442no—
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
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×C42—442no—
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#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
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×C11—42no—
1169C2×C11C2×C4×#4111yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11#351311yescharacteristic
1173C2×C11#351411yescharacteristic
1174C2×C11#351911yescharacteristic
1175C2×C11#352111yescharacteristic
1176D11—24no—
1177D11—42no—
1178C24—111no—
1179C24—111no—
1180C24—114no—
1181C24—222no—
1182C24—222no—
1183C24—441no—
1184C24—441no—
1185C24—441no—
1186C24—441no—
1187C24C23×D1111yescharacteristic
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C2×Q8—114no—
1191C2×Q8—441no—
1192C2×Q8—441no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—222no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4C2×C4×D1114yes—
1212C2×D4C2×C4×D1114yes—
1213C2×D4C2×C4×D1114yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—114no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—222no—
1240C22×C4—222no—
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×C4—441no—
1275C22×C4C2×C4×D1114yes—
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—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4C2×C4×D1114yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
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—114no—
1329C22⋊C4—114no—
1330C22⋊C4—114no—
1331C22⋊C4—114no—
1332C22⋊C4—114no—
1333C22⋊C4—114no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4C2×C4×D1114yes—
1351C22⋊C4C2×C4×D1114yes—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—114no—
1359C42—114no—
1360C42—222no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—222no—
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—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—112no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—228no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—444no—
1413C23—444no—
1414C23—882no—
1415C23—882no—
1416C23—882no—
1417C23—882no—
1418C23C22×C4×D1112yes—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23C24×D1111yescharacteristic
1422Q8—444no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—228no—
1427D4—228no—
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—44no—
1460C2×C4—44no—
1461C2×C4—82no—
1462C2×C4—112no—
1463C2×C4—112no—
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—221no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—882no—
1511C2×C4—882no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4C22×C4×D1112yes—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4#6703712yes—
1522C2×C4#41×D1112yes—
1523C2×C4#41×D1112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—114no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—888no—
1560C22C23×C4×D1111yescharacteristic
1561C22C2×#6703711yescharacteristic
1562C22C2×#41×D1111yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22#1062345311yescharacteristic
1565C22D11×H(5,𝔽2)11yescharacteristic
1566C22#1062345511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—222no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—224no—
1597C2—442no—
1598C2C4×#41×D1111yescharacteristic
1599C2#1308182011yescharacteristic
1600C2C4×#6703711yescharacteristic
1601C2#1308254911yescharacteristic
1602C2#1308257311yescharacteristic
1603C2#1308264711yescharacteristic
1604C2#1308267511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2363C2
socle, cosocleC23×C11C25
prime radicalC2×#10623144C2
hypercenter#2363D11
hypocenterC11#34283
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. #13071747C2semidirect
3. #13071738C2semidirect
4. #13071733C2semidirect
5. #13071724C2semidirect
6. #13071700C2semidirect
7. #13071682C2semidirect
8. #13071668C2semidirect
9. #13071665C2semidirect
10. #13071637C2semidirect
11. #13071618C2semidirect
12. #13071608C2semidirect
13. #13071597C2semidirect
14. #13071597C2semidirect
15. #13071596C2semidirect
16. #13071593C2semidirect
17. #13071425C2semidirect
18. #13071403C2semidirect
19. #13071390C2semidirect
20. #13071375C2semidirect
21. #13071246C2semidirect
22. C4×#66951C2semidirect
23. #13071163C2semidirect
24. C4×#66988C2semidirect
25. #13071126C2semidirect
26. #13071053C2semidirect
27. D11×#388C2semidirect
28. #13070975C2semidirect
29. #13070968C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2363C2semidirect
34. C2×C11×#117C22semidirect
42. C2×D4×Dic11C22semidirect
47. C22×C4×Dic11C22semidirect
48. #10623144C4semidirect
52. C2×#66940C22semidirect
68. C11×#390C22semidirect
69. C11×#389C22semidirect
71. C11×#388C22semidirect
73. C11×#386C22semidirect
74. C4×C11×C4⋊C4C22semidirect
76. C4×C11×C22⋊C4C22semidirect
77. C4×C11×C22⋊C4C22semidirect
81. #10622833C22semidirect
86. C4×C22⋊Dic11C22semidirect
87. C4×C22⋊Dic11C22semidirect
88. C2×C11⋊#95C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622591C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. #10622591C22semidirect
102. #10622590C22semidirect
103. #10622586C22semidirect
104. #10622585C22semidirect
115. #10622564C22semidirect
117. #10622559C22semidirect
118. #10622559C22semidirect
120. #10622558C22semidirect
126. #10622557C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622557C22semidirect
131. #10622556C22semidirect
132. #10622555C22semidirect
136. C22⋊C4×Dic11C22semidirect
137. C22⋊C4×Dic11C22semidirect
138. C22⋊C4×Dic11C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. C22⋊C4×Dic11C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622546C22semidirect
156. #10622545C22semidirect
157. C4×Dic11⋊C4C22semidirect
158. C4×Dic11⋊C4C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C42×Dic11C22semidirect
163. #10622542C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#121C2×C4semidirect
253. #66992C2×C4semidirect
254. #66991C2×C4semidirect
255. #66990C2×C4semidirect
256. #66990C2×C4semidirect
257. #66989C2×C4semidirect
258. #66988C2×C4semidirect
261. #66982C2×C4semidirect
263. C4×C22⋊D11C2×C4semidirect
319. #66951C2×C4semidirect
320. #66949C2×C4semidirect
323. #66938C2×C4semidirect
329. (C22⋊D11)⋊C4C2×C4semidirect
333. C22⋊C4×D11C2×C4semidirect
334. #66932C2×C4semidirect
586. #2363D11semidirect
778. C2×#117C2×D11semidirect
794. #390C2×D11semidirect
798. #389C2×D11semidirect
822. #388C2×D11semidirect
848. #386C2×D11semidirect
873. C4×C4⋊C4C2×D11semidirect
901. C4×C22⋊C4C2×D11semidirect
902. C4×C22⋊C4C2×D11semidirect
1012. #121C4×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×#106231442
#130717472
#130717382
#130717332
#130717242
#130717002
#130716822
#130716682
#130716652
#130716372
#130716182
#130716082
#130715972
#130715962
#130715932
#130714252
#130714032
#130713902
#130713752
#130712462
C4×#669512
#130711632
C4×#669882
#130711262
#130710532
D11×#3882
#130709752
#130709682
C4×(C22⋊D11)⋊C42
C11×#23632
#3428311