Finite Group Databasebeta

← #14917309

Subgroups — #14917309

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071787C211yesmaximal, characteristic, complemented
4#13071772C211yesmaximal, characteristic, complemented
5#13071760C211yesmaximal, characteristic, complemented
6#13071739C211yesmaximal, characteristic, complemented
7#13071697C211yesmaximal, characteristic, complemented
8#13071687C211yesmaximal, characteristic, complemented
9#13071661C211yesmaximal, characteristic, complemented
10#13071635C211yesmaximal, characteristic, complemented
11#13071633C211yesmaximal, characteristic, complemented
12#13071616C211yesmaximal, characteristic, complemented
13#13071604C211yesmaximal, characteristic, complemented
14#13071552C211yesmaximal, characteristic, complemented
15#13071545C211yesmaximal, characteristic, complemented
16#13071512C211yesmaximal, characteristic, complemented
17#13071430C211yesmaximal, characteristic, complemented
18#13071409C211yesmaximal, characteristic, complemented
19#13071391C211yesmaximal, characteristic, complemented
20#13071387C211yesmaximal, characteristic, complemented
21#13071322C211yesmaximal, characteristic, complemented
22#13071319C211yesmaximal, characteristic, complemented
23#13071305C211yesmaximal, characteristic, complemented
24#13071280C211yesmaximal, characteristic, complemented
25#13071273C211yesmaximal, characteristic, complemented
26#13071270C211yesmaximal, characteristic, complemented
27#13071213C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2349C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic
46C2×#66979C2211yescharacteristic, complemented
47C22×C4⋊Dic11C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic
49#10623091C4116yescomplemented
50C2×#66951C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66946C2211yescharacteristic
53C2×#66946C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic, complemented
55C2×#66940C2211yescharacteristic, complemented
56C2×#66938C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66935C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×#66931C2211yescharacteristic
62C2×#66929C2211yescharacteristic
63C2×#66928C2211yescharacteristic
64C11×#389C2211yescharacteristic, complemented
65C11×#389C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic, complemented
69C11×#385C2211yescharacteristic, complemented
70C11×#382C2211yescharacteristic, complemented
71C11×#380C2211yescharacteristic
72C11×#380C2211yescharacteristic, complemented
73C4×C11×C4⋊C4C2211yescharacteristic, complemented
74C2×C11×#95C2211yescharacteristic
75C2×C11×#95C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic, complemented
83#10622825C2211yescharacteristic
84#10622825C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C2×C11⋊#95C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic, complemented
104#10622601C2211yescharacteristic
105#10622601C2211yescharacteristic
106#10622600C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622589C2211yescharacteristic, complemented
113C4⋊C4×Dic11C2211yescharacteristic, complemented
114C4⋊C4×Dic11C2211yescharacteristic, complemented
115#10622587C2211yescharacteristic, complemented
116#10622586C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic, complemented
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622564C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic, complemented
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622558C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138#10622553C2211yescharacteristic
139#10622553C2211yescharacteristic
140#10622553C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144#10622549C2211yescharacteristic, complemented
145C4×C4⋊Dic11C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic, complemented
153#10622283C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11—42no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C4×D4×C11—42no—
217C4×D4×C11—42no—
218C4×D4×C11C2×C418yescomplemented
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66992C2×C418yescomplemented
246#66990C2×C418yescomplemented
247#66983C2×C418yescomplemented
248#66982C2×C418yescomplemented
249C4×C22⋊D11—42no—
250C4×C22⋊D11—42no—
251C4×C22⋊D11—42no—
252C4×C22⋊D11C2×C418yescomplemented
253C2×(C2×D11)⋊C4—42no—
254C2×(C2×D11)⋊C4C2×C418yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283#66979—42no—
284C2×C4⋊Dic11—42no—
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×Dic11⋊C4—42no—
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
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
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951C2×C418yescomplemented
323#66947C2×C418yescomplemented
324#66946—42no—
325#66946—42no—
326C4⋊C4×D11—42no—
327#66940—42no—
328#66938C2×C418yescomplemented
329#66937C2×C418yescomplemented
330#66935C2×C418yescomplemented
331(C22⋊D11)⋊C4—42no—
332(C22⋊D11)⋊C4—42no—
333#66931C2×C418yescomplemented
334#66929C2×C418yescomplemented
335#66928C2×C418yescomplemented
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#34416—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—22no—
390C2×D4×C11—22no—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—41no—
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×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11C22×C414yes—
409C22×C4×C11C22×C414yescomplemented
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
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11C22×C414yes—
432C2×C22⋊D11C22×C414yes—
433C2×C22⋊D11C22×C414yes—
434C2×C22⋊D11C22×C414yescomplemented
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11C22×C414yes—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44C22×C414yes—
462C2×D44C22×C414yes—
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×D11—41no—
483C2×C4×D11—416no—
484C2×C4×D11C22×C414yescomplemented
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22C22×C414yescomplemented
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4C22×C414yescomplemented
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yescomplemented
503C42×C11—41no—
504C42×C11—41no—
505C42×C11C22×C414yescomplemented
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11C22×C414yes—
513C22⋊Dic11C22×C414yescomplemented
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
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)⋊C4C22×C414yes—
539(C2×D11)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yescomplemented
541(C2×D11)⋊C4C22×C414yescomplemented
542C4⋊Dic11—22no—
543C4⋊Dic11—22no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11C22×C414yescomplemented
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4C22×C414yescomplemented
560Dic11⋊C4C22×C414yescomplemented
561Dic11⋊C4C22×C414yescomplemented
562Dic11⋊C4C22×C414yescomplemented
563C4×Dic11—22no—
564C4×Dic11—22no—
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×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2383—111no—
580#2379—111no—
581#2377—111no—
582#2376—111no—
583#2373—111no—
584#2368—111no—
585#2367—111no—
586#2364—111no—
587#2361—111no—
588#2361—111no—
589#2360—111no—
590#2359—111no—
591#2353—111no—
592#2352—111no—
593#2349D1111yescharacteristic, complemented
594D4×C4⋊C4—111no—
595#2337—111no—
596#2335—111no—
597#2334—111no—
598#2334—111no—
599#2326—111no—
600#2325—111no—
601#2324—111no—
602#2322—111no—
603#2321—111no—
604#2321—111no—
605#2312—111no—
606C4×#120—111no—
607C4×#120—111no—
608C2×#385—111no—
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×C11C23×C412yes—
620C23×C11C23×C412yes—
621C23×C11H(5,𝔽2)12yes—
622C23×C112−1+412yes—
623C23×C11C2511yescharacteristic
624C22×D11—28no—
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—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11C23×C412yes—
650C22×D11C23×C412yes—
651C22×D11C23×C412yes—
652D4×C11—28no—
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—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11—82no—
690C2×C4×C11—82no—
691C2×C4×C11—82no—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C23×C412yes—
694C2×C4×C11C23×C412yes—
695C2×C4×C11C23×C412yes—
696C2×C4×C11C23×C412yes—
697C2×C4×C11H(5,𝔽2)12yes—
698C22⋊D11—28no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C22⋊D11—44no—
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—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11C23×C412yes—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11H(5,𝔽2)12yes—
744D44—44no—
745D44—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—82no—
752C4×D11—82no—
753Dic22—44no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—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×C4×D4C2×D1111yescharacteristic
779C2×C4×D4C2×D1111yescharacteristic
780C2×#117—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389C2×D1111yescharacteristic, complemented
801#389C2×D1111yescharacteristic, complemented
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#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—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#387—111no—
836#387—111no—
837#387—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#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385C2×D1111yescharacteristic
871#385C2×D1111yescharacteristic
872#385C2×D1111yescharacteristic, complemented
873#385C2×D1111yescharacteristic, complemented
874#384—111no—
875#383—111no—
876#382—111no—
877#382C2×D1111yescharacteristic, complemented
878#381—111no—
879#380—111no—
880#380—111no—
881#380—111no—
882#380C2×D1111yescharacteristic
883#380C2×D1111yescharacteristic, complemented
884#379—111no—
885#379—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906#376—111no—
907C2×#95—111no—
908C2×#95C2×D1111yescharacteristic
909C2×#95C2×D1111yescharacteristic, complemented
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—22no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11#52014yes—
924C22×C11C24×C411yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×2−1+411yescharacteristic
929C22×C11#58511yescharacteristic
930C22×C11#58511yescharacteristic
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—416no—
941C2×D11—41no—
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—41no—
951C2×D11—41no—
952C2×D11—41no—
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—
964C4×C11—41no—
965C4×C11—41no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C25—111no—
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4C22×D1111yescharacteristic
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—442no—
999C23×C4—442no—
1000C23×C4—442no—
1001C23×C4C22×D1111yescharacteristic
1002C23×C4C22×D1111yescharacteristic
1003C23×C4C22×D1111yescharacteristic
1004C23×C4C22×D1111yescharacteristic
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126—118no—
1009#124—118no—
1010#124—118no—
1011#123—118no—
1012#123—118no—
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121—118no—
1017#120—118no—
1018#120—118no—
1019C4×Q8—442no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—118no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—442no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4C4×D1118yescomplemented
1031#117—442no—
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—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—442no—
1054C2×C4⋊C4—442no—
1055C2×C4⋊C4—442no—
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—118no—
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—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—442no—
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
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#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
1166#95C22×D1111yescharacteristic
1167C2×C11—24no—
1168C2×C11—42no—
1169C2×C11C2×#52011yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11#353211yescharacteristic
1173C2×C11#353311yescharacteristic
1174C2×C11#354111yescharacteristic
1175C2×C11#354111yescharacteristic
1176D11—42no—
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—114no—
1183C24—222no—
1184C24—222no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24—441no—
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C2×Q8—114no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—441no—
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×D4—441no—
1214C2×D4C2×C4×D1114yes—
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—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
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—4416no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4C2×C4×D1114yes—
1276C22×C4C2×C4×D1114yescomplemented
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
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—114no—
1299C4⋊C4—114no—
1300C4⋊C4—114no—
1301C4⋊C4—114no—
1302C4⋊C4—114no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4C2×C4×D1114yescomplemented
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
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—114no—
1335C22⋊C4—114no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—441no—
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⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4C2×C4×D1114yes—
1361C22⋊C4C2×C4×D1114yescomplemented
1362C42—41no—
1363C42—41no—
1364C42—114no—
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—
1378C42—441no—
1379C42C2×C4×D1114yescomplemented
1380C11#3441611yescharacteristic, complemented, Sylow
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—228no—
1395C23—221no—
1396C23—221no—
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—444no—
1416C23—444no—
1417C23—444no—
1418C23—444no—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23#6703712yes—
1422C23#6704012yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425D4—28no—
1426D4—228no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—112no—
1476C2×C4—112no—
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—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—882no—
1518C2×C4—882no—
1519C2×C4—882no—
1520C2×C4C22×C4×D1112yes—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4C22×C4×D1112yes—
1524C2×C4C22×C4×D1112yes—
1525C2×C4#6704212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—4416no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22#1062303514yes—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#6703711yescharacteristic
1564C22C2×#6704011yescharacteristic
1565C22C2×#6704211yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22#1062345511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—24no—
1596C2—42no—
1597C2—442no—
1598C2—442no—
1599C2—442no—
1600C2C2×#1062303511yescharacteristic
1601C2#1308182011yescharacteristic
1602C2C4×#6704211yescharacteristic
1603C2#1308276511yescharacteristic
1604C2#1308277511yescharacteristic
1605C2#1308290211yescharacteristic
1606C2#1308291011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2349C2
socle, cosocleC23×C11C25
prime radicalC2×#10623091C2
hypercenter#2349D11
hypocenterC11#34416
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071787C2semidirect
4. #13071772C2semidirect
5. #13071760C2semidirect
6. #13071739C2semidirect
7. #13071697C2semidirect
8. #13071687C2semidirect
9. #13071661C2semidirect
10. #13071635C2semidirect
11. #13071633C2semidirect
12. #13071616C2semidirect
13. #13071604C2semidirect
14. #13071552C2semidirect
15. #13071545C2semidirect
16. #13071512C2semidirect
17. #13071430C2semidirect
18. #13071409C2semidirect
19. #13071391C2semidirect
20. #13071387C2semidirect
21. #13071322C2semidirect
22. #13071319C2semidirect
23. #13071305C2semidirect
24. #13071280C2semidirect
25. #13071273C2semidirect
26. #13071270C2semidirect
27. #13071213C2semidirect
28. #13071117C2semidirect
29. C4×#66990C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2349C2semidirect
43. C2×C4×C22⋊D11C22semidirect
46. C2×#66979C22semidirect
49. #10623091C4semidirect
54. C2×C4⋊C4×D11C22semidirect
55. C2×#66940C22semidirect
64. C11×#389C22semidirect
65. C11×#389C22semidirect
68. C11×#385C22semidirect
69. C11×#385C22semidirect
70. C11×#382C22semidirect
72. C11×#380C22semidirect
73. C4×C11×C4⋊C4C22semidirect
75. C2×C11×#95C22semidirect
82. #10622826C22semidirect
84. #10622825C22semidirect
85. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
98. #10622603C22semidirect
103. #10622602C22semidirect
106. #10622600C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622591C22semidirect
110. #10622591C22semidirect
111. #10622591C22semidirect
112. #10622589C22semidirect
113. C4⋊C4×Dic11C22semidirect
114. C4⋊C4×Dic11C22semidirect
115. #10622587C22semidirect
116. #10622586C22semidirect
117. #10622585C22semidirect
118. #10622585C22semidirect
119. #10622585C22semidirect
122. #10622570C22semidirect
125. #10622569C22semidirect
128. #10622564C22semidirect
129. #10622564C22semidirect
132. #10622558C22semidirect
133. #10622557C22semidirect
140. #10622553C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. #10622549C22semidirect
145. C4×C4⋊Dic11C22semidirect
146. #10622546C22semidirect
147. C4×Dic11⋊C4C22semidirect
152. #10622283C22semidirect
153. #10622283C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
168. #10622279C22semidirect
173. #10622277C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
218. C4×D4×C11C2×C4semidirect
245. #66992C2×C4semidirect
246. #66990C2×C4semidirect
247. #66983C2×C4semidirect
248. #66982C2×C4semidirect
252. C4×C22⋊D11C2×C4semidirect
254. C2×(C2×D11)⋊C4C2×C4semidirect
322. #66951C2×C4semidirect
323. #66947C2×C4semidirect
328. #66938C2×C4semidirect
329. #66937C2×C4semidirect
330. #66935C2×C4semidirect
333. #66931C2×C4semidirect
334. #66929C2×C4semidirect
335. #66928C2×C4semidirect
409. C22×C4×C11C22×C4semidirect
434. C2×C22⋊D11C22×C4semidirect
484. C2×C4×D11C22×C4semidirect
487. C2×Dic22C22×C4semidirect
496. C11×C4⋊C4C22×C4semidirect
502. C11×C22⋊C4C22×C4semidirect
505. C42×C11C22×C4semidirect
513. C22⋊Dic11C22×C4semidirect
540. (C2×D11)⋊C4C22×C4semidirect
541. (C2×D11)⋊C4C22×C4semidirect
548. C4⋊Dic11C22×C4semidirect
559. Dic11⋊C4C22×C4semidirect
560. Dic11⋊C4C22×C4semidirect
561. Dic11⋊C4C22×C4semidirect
562. Dic11⋊C4C22×C4semidirect
577. C4×Dic11C22×C4semidirect
593. #2349D11semidirect
800. #389C2×D11semidirect
801. #389C2×D11semidirect
872. #385C2×D11semidirect
873. #385C2×D11semidirect
877. #382C2×D11semidirect
883. #380C2×D11semidirect
892. C4×C4⋊C4C2×D11semidirect
909. C2×#95C2×D11semidirect
1030. C4×D4C4×D11semidirect
1276. C22×C4C2×C4×D11semidirect
1319. C4⋊C4C2×C4×D11semidirect
1361. C22⋊C4C2×C4×D11semidirect
1379. C42C2×C4×D11semidirect
1380. C11#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
#130718072
#130717872
#130717722
#130717602
#130717392
#130716972
#130716872
#130716612
#130716352
#130716332
#130716162
#130716042
#130715522
#130715452
#130715122
#130714302
#130714092
#130713912
#130713872
#130713222
#130713192
#130713052
#130712802
#130712732
#130712702
#130712132
#130711172
C4×#669902
C2×#106222812
C11×#23492
#3441611