Finite Group Databasebeta

← #14961307

Subgroups — #14961307

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623193C211yesmaximal, characteristic, complemented
2C2×#10623188C211yesmaximal, characteristic, complemented
3#13076917C211yesmaximal, characteristic, complemented
4#13075532C211yesmaximal, characteristic, complemented
5#13075439C211yesmaximal, characteristic, complemented
6#13075424C211yesmaximal, characteristic, complemented
7#13075383C211yesmaximal, characteristic, complemented
8#13075209C211yesmaximal, characteristic, complemented
9#13075185C211yesmaximal, characteristic, complemented
10#13075163C211yesmaximal, characteristic, complemented
11#13075092C211yesmaximal, characteristic, complemented
12#13075049C211yesmaximal, characteristic, complemented
13#13075019C211yesmaximal, characteristic, complemented
14#13075004C211yesmaximal, characteristic, complemented
15#13074993C211yesmaximal, characteristic, complemented
16#13074911C211yesmaximal, characteristic, complemented
17#13074898C211yesmaximal, characteristic, complemented
18#13074839C211yesmaximal, characteristic, complemented
19#13074819C211yesmaximal, characteristic, complemented
20#13074766C211yesmaximal, characteristic, complemented
21#13074744C211yesmaximal, characteristic, complemented
22#13074300C211yesmaximal, characteristic, complemented
23#13074250C211yesmaximal, characteristic, complemented
24#13074235C211yesmaximal, characteristic, complemented
25#13074218C211yesmaximal, characteristic, complemented
26#13074102C211yesmaximal, characteristic, complemented
27#13073772C211yesmaximal, characteristic, complemented
28#13072044C211yesmaximal, characteristic, complemented
29#13071998C211yesmaximal, characteristic, complemented
30#13071059C211yesmaximal, characteristic, complemented
31C11×#2854C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic, complemented
34C2×C11×#121C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic, complemented
36C2×#66992C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66989C2211yescharacteristic, complemented
41C2×#66983C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×#66977C2211yescharacteristic, complemented
44#10623193—28no—
45#10623188—28no—
46C2×#66951C2211yescharacteristic
47C2×#66951C2211yescharacteristic
48C2×#66950C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66949C2211yescharacteristic, complemented
51C2×#66947C2211yescharacteristic
52C2×#66946C2211yescharacteristic
53C2×#66941C2211yescharacteristic, complemented
54C2×#66940C2211yescharacteristic, complemented
55C2×#66938C2211yescharacteristic
56C2×#66938C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66936C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×#66932C2211yescharacteristic
64C2×#66932C2211yescharacteristic, complemented
65C2×#66931C2211yescharacteristic, complemented
66C2×#66930C2211yescharacteristic, complemented
67C2×#66928C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69C11×#390C2211yescharacteristic
70C11×#390C2211yescharacteristic
71C11×#389C2211yescharacteristic, complemented
72C11×#389C2211yescharacteristic, complemented
73C11×#388C2211yescharacteristic
74C11×#388C2211yescharacteristic
75C11×#388C2211yescharacteristic, complemented
76C11×#388C2211yescharacteristic, complemented
77C11×#386C2211yescharacteristic
78C11×#386C2211yescharacteristic, complemented
79C11×#380C2211yescharacteristic, complemented
80#10622836C2211yescharacteristic
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic, complemented
83#10622835C2211yescharacteristic
84#10622835C2211yescharacteristic
85#10622835C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95C4×C22⋊Dic11C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic
97#10622606C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622603C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic
106#10622599C2211yescharacteristic, complemented
107#10622596C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110#10622592C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic, complemented
123#10622571C2211yescharacteristic
124#10622571C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic, complemented
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622566C2211yescharacteristic, complemented
135#10622565C2211yescharacteristic
136#10622565C2211yescharacteristic
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622562C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic, complemented
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic
145#10622560C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622558C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic
153#10622553C2211yescharacteristic
154#10622553C2211yescharacteristic
155#10622553C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic, complemented
157#10622552C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159#10622549C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622545C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622288C2211yescharacteristic
168#10622288C2211yescharacteristic
169#10622288C2211yescharacteristic, complemented
170#10622286C2211yescharacteristic
171#10622286C2211yescharacteristic
172#10622286C2211yescharacteristic, complemented
173#10622285C2211yescharacteristic
174#10622285C2211yescharacteristic
175#10622282C2211yescharacteristic
176#10622282C2211yescharacteristic
177#10622281C2211yescharacteristic, complemented
178#10622280C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic
180#10622277C2211yescharacteristic
181#10622271C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#123—24no—
214C11×#123—24no—
215C11×#121—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11—42no—
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
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
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—24no—
256#66991—24no—
257#66990—24no—
258#66990—42no—
259#66989—24no—
260#66983—24no—
261C4×C22⋊D11D418yescomplemented
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
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66951—24no—
321#66951—24no—
322#66950—24no—
323#66949—24no—
324#66949—42no—
325#66947—24no—
326#66946—24no—
327#66941—24no—
328#66940—24no—
329#66938—24no—
330#66938—24no—
331#66938—24no—
332#66938—24no—
333#66937—24no—
334#66936—24no—
335#66935—24no—
336C22⋊C4×D11—24no—
337#66932—24no—
338#66932—24no—
339#66931—24no—
340#66930—24no—
341#66928—42no—
342#66925—42no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36745—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11C2411yescharacteristic
391C23×D11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C22×C4×C11—22no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C2×D414yes—
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—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11C2×D414yes—
444C22×Dic11—22no—
445C22×Dic11—41no—
446C22×Dic11—41no—
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×D44—22no—
461C2×D44—22no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
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×D11C2×D414yes—
475C2×Dic22—22no—
476C2×Dic22—22no—
477C2×Dic22—22no—
478C2×Dic22—22no—
479C2×Dic22—41no—
480C2×Dic22—41no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11C2×D414yes—
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—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4C2×D414yes—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4C2×D414yes—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11C2×D414yes—
582C2×#542—111no—
583C2×#538—111no—
584#2854D1111yescharacteristic, complemented
585#2850—111no—
586#2723—111no—
587#2716—111no—
588#2715—111no—
589#2712—111no—
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668—111no—
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
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×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11C22×D412yes—
634C23×C11C2511yescharacteristic
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—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—44no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11C22×D412yes—
663D4×C11—82no—
664D4×C11—82no—
665D4×C11—82no—
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—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—44no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C22×D412yes—
704C2×C4×C11H(5,𝔽2)12yes—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C22⋊D11—82no—
709C22⋊D11—82no—
710C22⋊D11—82no—
711C22⋊D11—82no—
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—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—44no—
749C2×Dic11C22×D412yes—
750C2×Dic11C22×D412yes—
751C2×Dic11C22×D412yes—
752D44—44no—
753D44—82no—
754C4×D11—44no—
755C4×D11—82no—
756C4×D11—82no—
757Dic22—44no—
758Dic22—82no—
759Dic22—82no—
760Dic22—82no—
761#542—228no—
762#538—228no—
763C2×C4⋊Q8—111no—
764C2×#126—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#126—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124—111no—
772C2×#124—111no—
773C2×#124—111no—
774C2×#123—111no—
775C2×#123—111no—
776C2×#123C2×D1111yescharacteristic
777C2×#123C2×D1111yescharacteristic, complemented
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121C2×D1111yescharacteristic
788C2×#120—111no—
789C2×#120—111no—
790C2×#120—111no—
791C2×C4×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×#117—111no—
795C2×#117—111no—
796C22×C22⋊C4—111no—
797C22×C42C2×D1111yescharacteristic, complemented
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393—111no—
840#393—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#391—111no—
847#391—111no—
848#391—111no—
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390C2×D1111yescharacteristic
856#390C2×D1111yescharacteristic
857#389—111no—
858#389—111no—
859#389—111no—
860#389C2×D1111yescharacteristic, complemented
861#389C2×D1111yescharacteristic, complemented
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388C2×D1111yescharacteristic
879#388C2×D1111yescharacteristic
880#388C2×D1111yescharacteristic, complemented
881#388C2×D1111yescharacteristic, complemented
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386C2×D1111yescharacteristic
900#386C2×D1111yescharacteristic, complemented
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#382—111no—
907#381—111no—
908#381—111no—
909#380—111no—
910#380C2×D1111yescharacteristic, complemented
911#379—111no—
912#379—111no—
913#379—111no—
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
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×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11C23×D411yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11#58511yescharacteristic
942C22×C11#58511yescharacteristic
943C22×C11#58511yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25—111no—
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8—111no—
997C22×Q8—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4C22×D1111yescharacteristic
1008C22×D4C22×D1111yescharacteristic
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—224no—
1018#126—224no—
1019#126—224no—
1020#126—224no—
1021#126—224no—
1022#124—224no—
1023#124—224no—
1024#124—224no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#123—24no—
1029#123—24no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—42no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—224no—
1042#120—224no—
1043#120—224no—
1044#120—442no—
1045C4×Q8—224no—
1046C4×D4—118no—
1047C4×D4—224no—
1048#117—224no—
1049#117—442no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—224no—
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—42no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42C22×D1111yescharacteristic
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
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#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—81no—
1185C2×C11—81no—
1186C2×C11#344911yescharacteristic
1187C2×C11#349611yescharacteristic
1188C2×C11#350011yescharacteristic
1189C2×C11#353311yescharacteristic
1190C2×C11#354011yescharacteristic
1191C2×C11#356611yescharacteristic
1192C2×C11#356811yescharacteristic
1193D11—42no—
1194D11—81no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—111no—
1199C24—222no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—222no—
1210C2×Q8—222no—
1211C2×Q8—222no—
1212C2×Q8—222no—
1213C2×Q8—441no—
1214C2×Q8—441no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—114no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—114no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4D4×D1114yes—
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—114no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—114no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—222no—
1396C42—441no—
1397C42—441no—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—112no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23C2×D4×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—444no—
1450Q8—882no—
1451Q8—882no—
1452Q8—882no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—444no—
1457D4—444no—
1458D4—882no—
1459D4—882no—
1460D4—882no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—112no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—882no—
1543C2×C4—882no—
1544C2×C4C2×D4×D1112yes—
1545C2×C4C2×D4×D1112yes—
1546C2×C4#6703712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22C22×D4×D1111yescharacteristic
1591C22C2×#6703711yescharacteristic
1592C22#1062345311yescharacteristic
1593C22#1062345311yescharacteristic
1594C22#1062345311yescharacteristic
1595C22#1062345311yescharacteristic
1596C22#1062345311yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—222no—
1610C4—222no—
1611C4—222no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—442no—
1626C2—881no—
1627C2—881no—
1628C2#1308194311yescharacteristic
1629C2#1308237311yescharacteristic
1630C2#1308240311yescharacteristic
1631C2#1308278711yescharacteristic
1632C2#1308288411yescharacteristic
1633C2#1308327611yescharacteristic
1634C2#1308331211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2854C2
hypercenter#2854D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#10623193C2semidirect
2. C2×#10623188C2semidirect
3. #13076917C2semidirect
4. #13075532C2semidirect
5. #13075439C2semidirect
6. #13075424C2semidirect
7. #13075383C2semidirect
8. #13075209C2semidirect
9. #13075185C2semidirect
10. #13075163C2semidirect
11. #13075092C2semidirect
12. #13075049C2semidirect
13. #13075019C2semidirect
14. #13075004C2semidirect
15. #13074993C2semidirect
16. #13074911C2semidirect
17. #13074898C2semidirect
18. #13074839C2semidirect
19. #13074819C2semidirect
20. #13074766C2semidirect
21. #13074744C2semidirect
22. #13074300C2semidirect
23. #13074250C2semidirect
24. #13074235C2semidirect
25. #13074218C2semidirect
26. #13074102C2semidirect
27. #13073772C2semidirect
28. #13072044C2semidirect
29. #13071998C2semidirect
30. #13071059C2semidirect
31. C11×#2854C2semidirect
33. C2×C11×#123C22semidirect
35. C22×C42×C11C22semidirect
40. C2×#66989C22semidirect
43. C2×#66977C22semidirect
50. C2×#66949C22semidirect
53. C2×#66941C22semidirect
54. C2×#66940C22semidirect
64. C2×#66932C22semidirect
65. C2×#66931C22semidirect
66. C2×#66930C22semidirect
71. C11×#389C22semidirect
72. C11×#389C22semidirect
75. C11×#388C22semidirect
76. C11×#388C22semidirect
78. C11×#386C22semidirect
79. C11×#380C22semidirect
82. #10622836C22semidirect
91. #10622826C22semidirect
92. #10622826C22semidirect
93. #10622823C22semidirect
94. #10622823C22semidirect
95. C4×C22⋊Dic11C22semidirect
103. #10622603C22semidirect
104. #10622603C22semidirect
106. #10622599C22semidirect
107. #10622596C22semidirect
108. #10622594C22semidirect
109. #10622592C22semidirect
110. #10622592C22semidirect
111. #10622592C22semidirect
112. #10622585C22semidirect
113. #10622585C22semidirect
114. #10622585C22semidirect
122. #10622572C22semidirect
124. #10622571C22semidirect
128. #10622570C22semidirect
130. #10622569C22semidirect
134. #10622566C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
141. #10622561C22semidirect
145. #10622560C22semidirect
146. #10622559C22semidirect
150. #10622558C22semidirect
155. #10622553C22semidirect
156. #10622553C22semidirect
159. #10622549C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. #10622545C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. #10622542C22semidirect
169. #10622288C22semidirect
172. #10622286C22semidirect
177. #10622281C22semidirect
178. #10622280C22semidirect
181. #10622271C22semidirect
182. #10622270C22semidirect
183. #10622268C22semidirect
184. #10622268C22semidirect
185. #10622265C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
261. C4×C22⋊D11D4semidirect
584. #2854D11semidirect
777. C2×#123C2×D11semidirect
797. C22×C42C2×D11semidirect
860. #389C2×D11semidirect
861. #389C2×D11semidirect
880. #388C2×D11semidirect
881. #388C2×D11semidirect
900. #386C2×D11semidirect
910. #380C2×D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106231932
C2×#106231882
#130769172
#130755322
#130754392
#130754242
#130753832
#130752092
#130751852
#130751632
#130750922
#130750492
#130750192
#130750042
#130749932
#130749112
#130748982
#130748392
#130748192
#130747662
#130747442
#130743002
#130742502
#130742352
#130742182
#130741022
#130737722
#130720442
#130719982
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