Finite Group Databasebeta

← #14962679

Subgroups — #14962679

Order 2816.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13076473C211yesmaximal, characteristic, complemented
4#13076337C211yesmaximal, characteristic, complemented
5#13075931C211yesmaximal, characteristic, complemented
6#13075896C211yesmaximal, characteristic, complemented
7#13075879C211yesmaximal, characteristic, complemented
8#13075842C211yesmaximal, characteristic, complemented
9#13075713C211yesmaximal, characteristic, complemented
10#13075342C211yesmaximal, characteristic, complemented
11#13075309C211yesmaximal, characteristic, complemented
12#13075265C211yesmaximal, characteristic, complemented
13#13075198C211yesmaximal, characteristic, complemented
14#13075049C211yesmaximal, characteristic, complemented
15#13074879C211yesmaximal, characteristic, complemented
16#13074876C211yesmaximal, characteristic, complemented
17#13074852C211yesmaximal, characteristic, complemented
18#13074388C211yesmaximal, characteristic, complemented
19#13074355C211yesmaximal, characteristic, complemented
20#13073839C211yesmaximal, characteristic, complemented
21#13073579C211yesmaximal, characteristic, complemented
22#13072250C211yesmaximal, characteristic, complemented
23#13072153C211yesmaximal, characteristic, complemented
24#13072151C211yesmaximal, characteristic, complemented
25#13072075C211yesmaximal, characteristic, complemented
26#13072071C211yesmaximal, characteristic, complemented
27#13071967C211yesmaximal, characteristic, complemented
28#13071318C211yesmaximal, characteristic, complemented
29#13071248C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2709C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#127C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×#66993C2211yescharacteristic
37C2×#66992C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic, complemented
39C2×#66991C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66988C2211yescharacteristic, complemented
45C2×#66983C2211yescharacteristic, complemented
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66937C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic, complemented
53C2×#66936C2211yescharacteristic, complemented
54C2×#66936C2211yescharacteristic, complemented
55C2×#66935C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C11×#394C2211yescharacteristic
62C11×#394C2211yescharacteristic, complemented
63C11×#394C2211yescharacteristic, complemented
64C11×#394C2211yescharacteristic, complemented
65C11×#394C2211yescharacteristic, complemented
66C11×#394C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic, complemented
71C11×#386C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic, complemented
73C11×#386C2211yescharacteristic, complemented
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic
76#10622836C2211yescharacteristic
77#10622836C2211yescharacteristic
78#10622836C2211yescharacteristic
79#10622836C2211yescharacteristic, complemented
80#10622836C2211yescharacteristic, complemented
81#10622836C2211yescharacteristic, complemented
82#10622835C2211yescharacteristic, complemented
83#10622835C2211yescharacteristic, complemented
84#10622834C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622833C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92#10622823C2211yescharacteristic, complemented
93#10622606C2211yescharacteristic, complemented
94#10622605C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622601C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic, complemented
104#10622597C2211yescharacteristic, complemented
105#10622596C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic, complemented
112#10622573C2211yescharacteristic, complemented
113#10622573C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic, complemented
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic, complemented
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622566C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622565C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic, complemented
141#10622563C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622559C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150#10622555C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic, complemented
156#10622288C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622287C2211yescharacteristic, complemented
159#10622285C2211yescharacteristic, complemented
160#10622284C2211yescharacteristic
161#10622282C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622280C2211yescharacteristic
167#10622280C2211yescharacteristic
168#10622280C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C2×D4×D11—24no—
212C2×D4×D11—42no—
213C2×D4×D11—42no—
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C11×#127—42no—
230C11×#123—42no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266#66993—42no—
267#66992—42no—
268#66992—42no—
269#66991—24no—
270#66990—42no—
271#66990—42no—
272#66990—42no—
273#66990—42no—
274#66988—42no—
275#66983—42no—
276C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325#66946—24no—
326#66937—42no—
327#66937—42no—
328#66937—42no—
329#66937—42no—
330#66937—42no—
331#66936—42no—
332#66936—42no—
333#66935—42no—
334#66935—42no—
335(C22⋊D11)⋊C4—42no—
336C22⋊C4×D11—42no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
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
375#36794—111nomaximal, Sylow
376C24×C11C2411yescharacteristic
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—22no—
385C23×D11—22no—
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C22×Dic11—22no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487D4×D11—416no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—416no—
524C2×C4×D11#4114yes—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4—41no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C42×C11—41no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—41no—
591C4⋊Dic11—41no—
592Dic11⋊C4—22no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604C4×Dic11—22no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608#2849—111no—
609#2847—111no—
610#2797—111no—
611#2786—111no—
612#2756—111no—
613#2753—111no—
614#2752—111no—
615#2749—111no—
616#2740—111no—
617#2709—111no—
618#2709D1111yescharacteristic, complemented
619#2706—111no—
620#2703—111no—
621#2699—111no—
622#2688—111no—
623#2673—111no—
624#2673—111no—
625#2671—111no—
626#2622—111no—
627#2617—111no—
628#2569—111no—
629#2543—111no—
630#2433—111no—
631#2424—111no—
632#2424—111no—
633#2418—111no—
634#2418—111no—
635#2408—111no—
636#2325—111no—
637#2318—111no—
638C2×#386—111no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11H(5,𝔽2)12yes—
667C23×C11C2511yescharacteristic
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—28no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—82no—
703C22×D11—82no—
704C22×D11—82no—
705C22×D11—82no—
706C22×D11C2×#4112yes—
707C22×D11H(5,𝔽2)12yes—
708C22×D11H(5,𝔽2)12yes—
709C22×D11H(5,𝔽2)12yes—
710D4×C11—44no—
711D4×C11—82no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715D4×C11—82no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—44no—
749C2×C4×C11—82no—
750C2×C4×C11C2×#4112yes—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C22⋊D11—82no—
762C22⋊D11—82no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—44no—
798C2×Dic11—82no—
799C2×Dic11C2×#4112yes—
800C2×Dic11H(5,𝔽2)12yes—
801D44—44no—
802D44—44no—
803D44—82no—
804D44—82no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—82no—
811C4×D11—82no—
812C4×D11—82no—
813C23×D4—111no—
814C24×C4—111no—
815C2×#127—111no—
816C2×#127C2×D1111yescharacteristic
817C2×#123—111no—
818C2×#123—111no—
819C2×#123—111no—
820C2×#123C2×D1111yescharacteristic, complemented
821C2×#121—111no—
822C2×#121—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121—111no—
828C2×#121—111no—
829C2×#121—111no—
830C2×#120—111no—
831C2×#120—111no—
832C2×#120—111no—
833C2×#120—111no—
834C2×#120—111no—
835C2×#120—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C22×C22⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4—111no—
842#400—111no—
843#400—111no—
844#399—111no—
845#399—111no—
846#398—111no—
847#398—111no—
848#398—111no—
849#397—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#396—111no—
859#396—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394C2×D1111yescharacteristic
874#394C2×D1111yescharacteristic, complemented
875#394C2×D1111yescharacteristic, complemented
876#394C2×D1111yescharacteristic, complemented
877#394C2×D1111yescharacteristic, complemented
878#394C2×D1111yescharacteristic, complemented
879#392—111no—
880#392—111no—
881#392—111no—
882#392—111no—
883#392—111no—
884#392—111no—
885#392—111no—
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#390—111no—
891#390—111no—
892#390—111no—
893#390—111no—
894#390—111no—
895#390—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#387—111no—
909#387—111no—
910#387—111no—
911#387—111no—
912#387—111no—
913#387—111no—
914#387C2×D1111yescharacteristic, complemented
915#387C2×D1111yescharacteristic, complemented
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386C2×D1111yescharacteristic
940#386C2×D1111yescharacteristic, complemented
941#386C2×D1111yescharacteristic, complemented
942#386C2×D1111yescharacteristic, complemented
943#386C2×D1111yescharacteristic, complemented
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#383—111no—
953#382—111no—
954#381—111no—
955#381—111no—
956#381—111no—
957#380—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#379—111no—
964#379—111no—
965C4×C22⋊C4—111no—
966C2×#95—111no—
967C2×#95—111no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11C22×#4111yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11#58511yescharacteristic
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—416no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—88no—
1032C2×D11#54014yes—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056C25—111no—
1057C25—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—224no—
1075C22×D4—442no—
1076C22×D4—442no—
1077C22×D4C22×D1111yescharacteristic
1078C22×D4C22×D1111yescharacteristic
1079C22×D4C22×D1111yescharacteristic
1080C22×D4C22×D1111yescharacteristic
1081C22×D4C22×D1111yescharacteristic
1082C22×D4C22×D1111yescharacteristic
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—442no—
1094C23×C4—442no—
1095C23×C4—442no—
1096C23×C4C22×D1111yescharacteristic
1097C23×C4C22×D1111yescharacteristic
1098#127—42no—
1099#127—442no—
1100#123—42no—
1101#123—442no—
1102#123—442no—
1103#123—442no—
1104#121—224no—
1105#121—442no—
1106#121—442no—
1107#121—442no—
1108#121—442no—
1109#121—442no—
1110#121—442no—
1111#121—442no—
1112#121—442no—
1113#120—442no—
1114#120—442no—
1115#120—442no—
1116#120—442no—
1117#120—442no—
1118#120—442no—
1119C4×D4—224no—
1120C4×D4—442no—
1121C4×D4—442no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C4⋊C4C22×D1111yescharacteristic
1140C2×C4⋊C4C22×D1111yescharacteristic
1141C2×C4⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—442no—
1187C2×C22⋊C4—442no—
1188C2×C22⋊C4—442no—
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42C22×D1111yescharacteristic
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244C2×C11—42no—
1245C2×C11—81no—
1246C2×C11—81no—
1247C2×C11—81no—
1248C2×C11C2×#54011yescharacteristic
1249C2×C11#349011yescharacteristic
1250C2×C11#350611yescharacteristic
1251C2×C11#353211yescharacteristic
1252C2×C11#353411yescharacteristic
1253C2×C11#353411yescharacteristic
1254C2×C11#353711yescharacteristic
1255D11—24no—
1256D11—42no—
1257D11—81no—
1258D11—81no—
1259C24—111no—
1260C24—111no—
1261C24—111no—
1262C24—111no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—222no—
1267C24—222no—
1268C24—222no—
1269C24—222no—
1270C24—222no—
1271C24—441no—
1272C24—441no—
1273C24—441no—
1274C24—441no—
1275C24—441no—
1276C24—441no—
1277C24C23×D1111yescharacteristic
1278C24C23×D1111yescharacteristic
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—4416no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—114no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
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—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—4416no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C4⋊C4—22no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—222no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C4⋊C4—441no—
1419C4⋊C4—441no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C42—41no—
1487C42—222no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C11#3679411yescharacteristic, complemented, Sylow
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—112no—
1520C23—112no—
1521C23—112no—
1522C23—112no—
1523C23—228no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23—444no—
1555C23—444no—
1556C23—444no—
1557C23—882no—
1558C23—882no—
1559C23—882no—
1560C23—882no—
1561C23#6703712yes—
1562C23C24×D1111yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—882no—
1576D4—882no—
1577D4—882no—
1578D4—882no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582D4—882no—
1583D4—882no—
1584D4—882no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—82no—
1619C2×C4—112no—
1620C2×C4—112no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—444no—
1656C2×C4—444no—
1657C2×C4—444no—
1658C2×C4—444no—
1659C2×C4—444no—
1660C2×C4—444no—
1661C2×C4—882no—
1662C2×C4—882no—
1663C2×C4—882no—
1664C2×C4—882no—
1665C2×C4#41×D1112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—114no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—4416no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22—888no—
1724C22C2×#6703711yescharacteristic
1725C22C2×#41×D1111yescharacteristic
1726C22#1062345311yescharacteristic
1727C22D11×H(5,𝔽2)11yescharacteristic
1728C22D11×H(5,𝔽2)11yescharacteristic
1729C22D11×H(5,𝔽2)11yescharacteristic
1730C22D11×H(5,𝔽2)11yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—222no—
1743C4—222no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C2—42no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—224no—
1759C2—442no—
1760C2—881no—
1761C2—881no—
1762C2D11×#54011yescharacteristic
1763C2#1308229811yescharacteristic
1764C2#1308246411yescharacteristic
1765C2#1308276911yescharacteristic
1766C2#1308279911yescharacteristic
1767C2#1308280111yescharacteristic
1768C2#1308285311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2709C2
hypercenter#2709D11
hypocenterC11#36794
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2709

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076897C2semidirect
3. #13076473C2semidirect
4. #13076337C2semidirect
5. #13075931C2semidirect
6. #13075896C2semidirect
7. #13075879C2semidirect
8. #13075842C2semidirect
9. #13075713C2semidirect
10. #13075342C2semidirect
11. #13075309C2semidirect
12. #13075265C2semidirect
13. #13075198C2semidirect
14. #13075049C2semidirect
15. #13074879C2semidirect
16. #13074876C2semidirect
17. #13074852C2semidirect
18. #13074388C2semidirect
19. #13074355C2semidirect
20. #13073839C2semidirect
21. #13073579C2semidirect
22. #13072250C2semidirect
23. #13072153C2semidirect
24. #13072151C2semidirect
25. #13072075C2semidirect
26. #13072071C2semidirect
27. #13071967C2semidirect
28. #13071318C2semidirect
29. #13071248C2semidirect
30. D11×#386C2semidirect
31. C11×#2709C2semidirect
35. C2×C11×#123C22semidirect
37. C2×#66992C22semidirect
38. C2×#66992C22semidirect
44. C2×#66988C22semidirect
45. C2×#66983C22semidirect
52. C2×#66937C22semidirect
53. C2×#66936C22semidirect
54. C2×#66936C22semidirect
62. C11×#394C22semidirect
63. C11×#394C22semidirect
64. C11×#394C22semidirect
65. C11×#394C22semidirect
66. C11×#394C22semidirect
67. C11×#387C22semidirect
68. C11×#387C22semidirect
70. C11×#386C22semidirect
71. C11×#386C22semidirect
72. C11×#386C22semidirect
73. C11×#386C22semidirect
79. #10622836C22semidirect
80. #10622836C22semidirect
81. #10622836C22semidirect
82. #10622835C22semidirect
83. #10622835C22semidirect
86. #10622833C22semidirect
87. #10622833C22semidirect
89. #10622826C22semidirect
90. #10622826C22semidirect
91. #10622823C22semidirect
92. #10622823C22semidirect
93. #10622606C22semidirect
94. #10622605C22semidirect
95. #10622605C22semidirect
97. #10622604C22semidirect
98. #10622603C22semidirect
101. #10622601C22semidirect
103. #10622600C22semidirect
104. #10622597C22semidirect
105. #10622596C22semidirect
106. #10622596C22semidirect
107. #10622594C22semidirect
108. #10622574C22semidirect
109. #10622574C22semidirect
110. #10622574C22semidirect
111. #10622574C22semidirect
112. #10622573C22semidirect
113. #10622573C22semidirect
114. #10622572C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
117. #10622572C22semidirect
119. #10622571C22semidirect
120. #10622571C22semidirect
123. #10622570C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
132. #10622569C22semidirect
135. #10622566C22semidirect
136. #10622565C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
139. #10622565C22semidirect
140. #10622564C22semidirect
141. #10622563C22semidirect
142. #10622561C22semidirect
143. #10622559C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
148. #10622557C22semidirect
149. #10622557C22semidirect
150. #10622555C22semidirect
151. #10622553C22semidirect
154. #10622546C22semidirect
155. #10622289C22semidirect
156. #10622288C22semidirect
157. #10622288C22semidirect
158. #10622287C22semidirect
159. #10622285C22semidirect
161. #10622282C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
168. #10622280C22semidirect
173. #10622278C22semidirect
174. #10622277C22semidirect
175. #10622277C22semidirect
176. #10622277C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622264C22semidirect
186. #10622263C22semidirect
618. #2709D11semidirect
820. C2×#123C2×D11semidirect
874. #394C2×D11semidirect
875. #394C2×D11semidirect
876. #394C2×D11semidirect
877. #394C2×D11semidirect
878. #394C2×D11semidirect
914. #387C2×D11semidirect
915. #387C2×D11semidirect
940. #386C2×D11semidirect
941. #386C2×D11semidirect
942. #386C2×D11semidirect
943. #386C2×D11semidirect
1491. C11#36794semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130768972
#130764732
#130763372
#130759312
#130758962
#130758792
#130758422
#130757132
#130753422
#130753092
#130752652
#130751982
#130750492
#130748792
#130748762
#130748522
#130743882
#130743552
#130738392
#130735792
#130722502
#130721532
#130721512
#130720752
#130720712
#130719672
#130713182
#130712482
D11×#3862
C11×#27092
#3679411