Finite Group Databasebeta

← #14960663

Subgroups — #14960663

Order 2816.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623078C211yesmaximal, characteristic, complemented
2#13076905C211yesmaximal, characteristic, complemented
3#13076895C211yesmaximal, characteristic, complemented
4#13075130C211yesmaximal, characteristic, complemented
5#13075121C211yesmaximal, characteristic, complemented
6#13075076C211yesmaximal, characteristic, complemented
7#13075046C211yesmaximal, characteristic, complemented
8#13075031C211yesmaximal, characteristic, complemented
9#13074935C211yesmaximal, characteristic, complemented
10#13074911C211yesmaximal, characteristic, complemented
11#13074906C211yesmaximal, characteristic, complemented
12#13074877C211yesmaximal, characteristic, complemented
13#13074876C211yesmaximal, characteristic, complemented
14#13074861C211yesmaximal, characteristic, complemented
15#13074852C211yesmaximal, characteristic, complemented
16#13074847C211yesmaximal, characteristic, complemented
17#13074829C211yesmaximal, characteristic, complemented
18#13074828C211yesmaximal, characteristic, complemented
19#13074819C211yesmaximal, characteristic, complemented
20#13074501C211yesmaximal, characteristic, complemented
21#13074455C211yesmaximal, characteristic, complemented
22#13074288C211yesmaximal, characteristic, complemented
23#13074230C211yesmaximal, characteristic, complemented
24#13074182C211yesmaximal, characteristic, complemented
25#13074176C211yesmaximal, characteristic, complemented
26#13073578C211yesmaximal, characteristic, complemented
27#13073517C211yesmaximal, characteristic, complemented
28#13072236C211yesmaximal, characteristic, complemented
29#13072228C211yesmaximal, characteristic, complemented
30#13071249C211yesmaximal, characteristic, complemented
31C2×C11×#540C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C11×#540—28no—
35C2×C11×#127C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic, complemented
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic, complemented
40C2×C11×#123C2211yescharacteristic, complemented
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic, complemented
45C2×C11×#121C2211yescharacteristic, complemented
46C2×C11×#121C2211yescharacteristic, complemented
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic, complemented
49C2×C11×#117C2211yescharacteristic, complemented
50C2×#66993C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66992C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic, complemented
56C2×#66991C2211yescharacteristic
57C2×#66991C2211yescharacteristic
58C2×#66990C2211yescharacteristic
59C2×#66990C2211yescharacteristic
60C2×#66990C2211yescharacteristic
61C2×#66990C2211yescharacteristic
62C2×#66989C2211yescharacteristic, complemented
63C2×#66988C2211yescharacteristic
64C2×#66983C2211yescharacteristic
65C2×#66983C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic
67C2×C4×C22⋊D11C2211yescharacteristic
68#10623078—28no—
69C2×#66949C2211yescharacteristic
70C2×#66947C2211yescharacteristic
71C2×#66937C2211yescharacteristic
72C2×#66936C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×#66931C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic
76C2×#66925C2211yescharacteristic
77#10622836C2211yescharacteristic
78#10622836C2211yescharacteristic
79#10622836C2211yescharacteristic
80#10622836C2211yescharacteristic
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic, complemented
87#10622836C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic
93#10622835C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic, complemented
103#10622826C2211yescharacteristic
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic
106#10622826C2211yescharacteristic
107#10622826C2211yescharacteristic, complemented
108#10622825C2211yescharacteristic
109#10622825C2211yescharacteristic, complemented
110#10622825C2211yescharacteristic, complemented
111#10622824C2211yescharacteristic
112#10622823C2211yescharacteristic, complemented
113#10622823C2211yescharacteristic, complemented
114#10622823C2211yescharacteristic, complemented
115C4×C22⋊Dic11C2211yescharacteristic, complemented
116C2×C11⋊#95C2211yescharacteristic, complemented
117#10622607C2211yescharacteristic
118#10622607C2211yescharacteristic, complemented
119#10622606C2211yescharacteristic
120#10622606C2211yescharacteristic
121#10622606C2211yescharacteristic, complemented
122#10622605C2211yescharacteristic
123#10622605C2211yescharacteristic, complemented
124#10622604C2211yescharacteristic
125#10622604C2211yescharacteristic
126#10622603C2211yescharacteristic
127#10622602C2211yescharacteristic
128#10622602C2211yescharacteristic
129#10622602C2211yescharacteristic
130#10622602C2211yescharacteristic
131#10622602C2211yescharacteristic, complemented
132#10622601C2211yescharacteristic
133#10622600C2211yescharacteristic
134#10622600C2211yescharacteristic
135#10622599C2211yescharacteristic, complemented
136#10622597C2211yescharacteristic, complemented
137#10622597C2211yescharacteristic, complemented
138#10622595C2211yescharacteristic, complemented
139#10622595C2211yescharacteristic, complemented
140#10622594C2211yescharacteristic, complemented
141#10622594C2211yescharacteristic, complemented
142#10622593C2211yescharacteristic, complemented
143#10622592C2211yescharacteristic, complemented
144#10622591C2211yescharacteristic, complemented
145#10622587C2211yescharacteristic, complemented
146#10622585C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic
148#10622574C2211yescharacteristic, complemented
149#10622573C2211yescharacteristic
150#10622573C2211yescharacteristic
151#10622572C2211yescharacteristic
152#10622572C2211yescharacteristic
153#10622571C2211yescharacteristic
154#10622571C2211yescharacteristic, complemented
155#10622570C2211yescharacteristic
156#10622569C2211yescharacteristic
157#10622569C2211yescharacteristic
158#10622569C2211yescharacteristic
159#10622569C2211yescharacteristic
160#10622569C2211yescharacteristic
161#10622569C2211yescharacteristic
162#10622569C2211yescharacteristic
163#10622569C2211yescharacteristic
164#10622569C2211yescharacteristic, complemented
165#10622569C2211yescharacteristic, complemented
166#10622569C2211yescharacteristic, complemented
167#10622568C2211yescharacteristic
168#10622565C2211yescharacteristic
169#10622565C2211yescharacteristic, complemented
170#10622564C2211yescharacteristic
171#10622564C2211yescharacteristic
172#10622563C2211yescharacteristic, complemented
173#10622563C2211yescharacteristic, complemented
174#10622562C2211yescharacteristic, complemented
175#10622561C2211yescharacteristic, complemented
176#10622561C2211yescharacteristic, complemented
177#10622560C2211yescharacteristic, complemented
178#10622558C2211yescharacteristic, complemented
179#10622557C2211yescharacteristic, complemented
180#10622557C2211yescharacteristic, complemented
181#10622557C2211yescharacteristic, complemented
182#10622556C2211yescharacteristic
183#10622553C2211yescharacteristic
184#10622553C2211yescharacteristic
185#10622553C2211yescharacteristic, complemented
186#10622550C2211yescharacteristic, complemented
187#10622549C2211yescharacteristic, complemented
188#10622546C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C2×#4339—24no—
222C2×#4339—42no—
223C2×#4339—42no—
224C22×D44C2311yescharacteristic
225C22×D44C2311yescharacteristic
226C22×C4×D11—24no—
227C22×C4×D11—42no—
228C22×C4×D11—42no—
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C11×#127—24no—
236C11×#125—24no—
237C11×#123—24no—
238C11×#123—24no—
239C11×#123—24no—
240C11×#123—24no—
241C11×#121—24no—
242C11×#121—24no—
243C11×#121—24no—
244C11×#121—24no—
245C11×#121—24no—
246C11×#121—24no—
247C4×D4×C11—24no—
248C4×D4×C11D418yescomplemented
249C11×#117—24no—
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C42×C11C2311yescharacteristic
269C2×C42×C11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293#66993—42no—
294#66992—24no—
295#66992—42no—
296#66992—42no—
297#66992—42no—
298#66992—42no—
299#66991—42no—
300#66991—42no—
301#66990—24no—
302#66990—42no—
303#66990—42no—
304#66990—42no—
305#66989—42no—
306#66988—42no—
307#66983—42no—
308#66983—42no—
309C4×C22⋊D11—24no—
310C4×C22⋊D11—24no—
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335C2×C4⋊Dic11C2311yescharacteristic
336C2×C4⋊Dic11C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66949—24no—
352#66947—24no—
353#66937—24no—
354#66936—24no—
355#66935—24no—
356#66931—24no—
357C4×D44—24no—
358#66925—24no—
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
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36713—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11C2×D414yes—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11C2×D414yes—
451C22×C4×C11C2×D414yes—
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11—41no—
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523#4339—416no—
524C2×D44—22no—
525C2×D44—22no—
526C2×D44—22no—
527C2×D44—22no—
528C2×D44—41no—
529C2×D44—41no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—22no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—22no—
536C2×C4×D11—22no—
537C2×C4×D11—22no—
538C2×C4×D11—22no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—41no—
542C2×C4×D11—41no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11—416no—
546C2×Dic22—22no—
547C2×Dic22—22no—
548C2×Dic22—41no—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—22no—
553C11×C4⋊C4—22no—
554C11×C4⋊C4—22no—
555C11×C4⋊C4—22no—
556C11×C4⋊C4C2×D414yes—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4C2×D414yes—
566C11×C22⋊C4C2×D414yes—
567C42×C11—22no—
568C42×C11C2×D414yes—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
588C22⋊Dic11—41no—
589C22⋊Dic11—41no—
590C22⋊Dic11—41no—
591C22⋊Dic11—41no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613C4⋊Dic11—22no—
614C4⋊Dic11—41no—
615C4⋊Dic11—41no—
616C4⋊Dic11—41no—
617C4⋊Dic11—41no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11—41no—
632C2×#540D1111yescharacteristic, complemented
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2694—111no—
637#2693—111no—
638#2690—111no—
639#2688—111no—
640#2687—111no—
641#2678—111no—
642#2676—111no—
643#2675—111no—
644#2673—111no—
645#2673—111no—
646#2672—111no—
647#2671—111no—
648#2671—111no—
649#2669—111no—
650#2669—111no—
651#2668—111no—
652#2635—111no—
653#2630—111no—
654#2609—111no—
655#2602—111no—
656#2598—111no—
657#2598—111no—
658#2543—111no—
659#2535—111no—
660#2431—111no—
661#2430—111no—
662#2318—111no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11C22×D412yes—
697C23×C11C22×D412yes—
698C23×C11C2511yescharacteristic
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11H(5,𝔽2)12yes—
726C22×D11H(5,𝔽2)12yes—
727D4×C11—44no—
728D4×C11—44no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733D4×C11—82no—
734D4×C11—82no—
735D4×C11—82no—
736D4×C11—82no—
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—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—44no—
763C2×C4×C11—44no—
764C2×C4×C11—44no—
765C2×C4×C11—82no—
766C2×C4×C11—82no—
767C2×C4×C11C22×D412yes—
768C2×C4×C11C22×D412yes—
769C2×C4×C11C22×D412yes—
770C2×C4×C11C22×D412yes—
771C2×C4×C11C22×D412yes—
772C22⋊D11—44no—
773C22⋊D11—44no—
774C22⋊D11—44no—
775C22⋊D11—44no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C22⋊D11—82no—
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—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—44no—
824C2×Dic11—82no—
825C2×Dic11—82no—
826C2×Dic11H(5,𝔽2)12yes—
827D44—44no—
828D44—44no—
829C4×D11—28no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—44no—
834Dic22—44no—
835C22×#41—111no—
836C24×C4—111no—
837#540—28no—
838C2×#127—111no—
839C2×#127C2×D1111yescharacteristic
840C2×#125C2×D1111yescharacteristic, complemented
841C2×#124—111no—
842#525—228no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×#123C2×D1111yescharacteristic
847C2×#123C2×D1111yescharacteristic
848C2×#123C2×D1111yescharacteristic, complemented
849C2×#123C2×D1111yescharacteristic, complemented
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121C2×D1111yescharacteristic
863C2×#121C2×D1111yescharacteristic
864C2×#121C2×D1111yescharacteristic
865C2×#121C2×D1111yescharacteristic, complemented
866C2×#121C2×D1111yescharacteristic, complemented
867C2×#121C2×D1111yescharacteristic, complemented
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×C4×D4—111no—
874C2×C4×D4—111no—
875C2×C4×D4—111no—
876C2×C4×D4C2×D1111yescharacteristic
877C2×C4×D4C2×D1111yescharacteristic, complemented
878C2×#117—111no—
879C2×#117C2×D1111yescharacteristic, complemented
880#400—111no—
881#400—111no—
882#400—111no—
883#399—111no—
884#399—111no—
885#399—111no—
886#398—111no—
887#398—111no—
888#398—111no—
889#397—111no—
890#397—111no—
891#397—111no—
892#397—111no—
893#397—111no—
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#395—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#393—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#391—111no—
929#390—111no—
930#390—111no—
931#389—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#388—111no—
938#388—111no—
939#388—111no—
940#388—111no—
941#388—111no—
942#387—111no—
943#387—111no—
944#387—111no—
945#387—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#386—111no—
950#386—111no—
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#385—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#383—111no—
981#382—111no—
982#381—111no—
983#381—111no—
984#380—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#379—111no—
990C4×C22⋊C4—111no—
991C2×#95—111no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11C23×D411yescharacteristic
1028C22×C11C2×H(5,𝔽2)11yescharacteristic
1029C22×C11C2×H(5,𝔽2)11yescharacteristic
1030C22×C11C2×H(5,𝔽2)11yescharacteristic
1031C22×C11#58511yescharacteristic
1032C22×C11#58511yescharacteristic
1033C22×C11#58511yescharacteristic
1034C2×D11—22no—
1035C2×D11—22no—
1036C2×D11—22no—
1037C2×D11—22no—
1038C2×D11—22no—
1039C2×D11—22no—
1040C2×D11—416no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C4×C11—22no—
1057C4×C11—22no—
1058C4×C11—22no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066Dic11—22no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079C25—111no—
1080C2×#41—224no—
1081C2×#41—442no—
1082C2×#41—442no—
1083C22×Q8—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4C22×D1111yescharacteristic
1100C22×D4C22×D1111yescharacteristic
1101C22×D4C22×D1111yescharacteristic
1102C22×D4C22×D1111yescharacteristic
1103C22×D4C22×D1111yescharacteristic
1104C22×D4C22×D1111yescharacteristic
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—224no—
1118C23×C4—442no—
1119C23×C4—442no—
1120C23×C4C22×D1111yescharacteristic
1121C23×C4C22×D1111yescharacteristic
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124C23×C4C22×D1111yescharacteristic
1125#127—24no—
1126#127—442no—
1127#125—24no—
1128#124—442no—
1129#123—24no—
1130#123—24no—
1131#123—24no—
1132#123—24no—
1133#123—224no—
1134#123—224no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138#121—24no—
1139#121—24no—
1140#121—24no—
1141#121—24no—
1142#121—24no—
1143#121—24no—
1144#121—224no—
1145#121—224no—
1146#121—442no—
1147#121—442no—
1148#121—442no—
1149#121—442no—
1150#121—442no—
1151#121—442no—
1152#121—442no—
1153#121—442no—
1154#120—224no—
1155#120—224no—
1156#120—442no—
1157#120—442no—
1158#120—442no—
1159C4×D4—24no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163C4×D4C22⋊D1118yescomplemented
1164#117—24no—
1165#117—224no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42C22×D1111yescharacteristic
1248C2×C42C22×D1111yescharacteristic
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95—111no—
1279#95—111no—
1280#95—111no—
1281C2×C11—42no—
1282C2×C11—42no—
1283C2×C11—81no—
1284C2×C11—81no—
1285C2×C11—81no—
1286C2×C11#344911yescharacteristic
1287C2×C11#348411yescharacteristic
1288C2×C11#348811yescharacteristic
1289C2×C11#353311yescharacteristic
1290C2×C11#353411yescharacteristic
1291C2×C11#353911yescharacteristic
1292C2×C11#354211yescharacteristic
1293D11—42no—
1294D11—42no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—222no—
1300C24—222no—
1301C24—222no—
1302C24—441no—
1303C24—441no—
1304C24—441no—
1305C24—441no—
1306C24C23×D1111yescharacteristic
1307C24C23×D1111yescharacteristic
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310C24C23×D1111yescharacteristic
1311#41—4416no—
1312C2×Q8—222no—
1313C2×Q8—222no—
1314C2×Q8—441no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4C2×C22⋊D1114yes—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—222no—
1425C22×C4—222no—
1426C22×C4—222no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—4416no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4—441no—
1440C22×C4—441no—
1441C22×C4C2×C22⋊D1114yes—
1442C22×C4C2×C22⋊D1114yes—
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C22×C4C23×D1111yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4C2×C22⋊D1114yes—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4—441no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4C2×C22⋊D1114yes—
1530C22⋊C4C2×C22⋊D1114yes—
1531C42—22no—
1532C42—222no—
1533C42—441no—
1534C42—441no—
1535C42C2×C22⋊D1114yes—
1536C11#3671311yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—112no—
1571C23—112no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—444no—
1592C23—444no—
1593C23—444no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23C22×C22⋊D1112yes—
1599C23C22×C22⋊D1112yes—
1600C23C24×D1111yescharacteristic
1601Q8—444no—
1602D4—44no—
1603D4—44no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—444no—
1613D4—444no—
1614D4—444no—
1615D4—444no—
1616D4—444no—
1617D4—444no—
1618D4—882no—
1619D4—882no—
1620D4—882no—
1621D4—882no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—112no—
1658C2×C4—228no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4—444no—
1701C2×C4—444no—
1702C2×C4—882no—
1703C2×C4—882no—
1704C2×C4C22×C22⋊D1112yes—
1705C2×C4C22×C22⋊D1112yes—
1706C2×C4C22×C22⋊D1112yes—
1707C2×C4C22×C22⋊D1112yes—
1708C2×C4C22×C22⋊D1112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—222no—
1745C22—222no—
1746C22—222no—
1747C22—222no—
1748C22—222no—
1749C22—222no—
1750C22—4416no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22#1062345311yescharacteristic
1767C22#1062345311yescharacteristic
1768C22D11×H(5,𝔽2)11yescharacteristic
1769C22D11×H(5,𝔽2)11yescharacteristic
1770C22D11×H(5,𝔽2)11yescharacteristic
1771C22#1062345511yescharacteristic
1772C22C23×C22⋊D1111yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—222no—
1784C4—441no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—442no—
1802C2—442no—
1803C2—881no—
1804C2#1308194511yescharacteristic
1805C2#1308224711yescharacteristic
1806C2#1308227811yescharacteristic
1807C2#1308277611yescharacteristic
1808C2#1308279911yescharacteristic
1809C2#1308286811yescharacteristic
1810C2#1308292311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#540C2
hypercenterC2×#540D11
hypocenterC11#36713
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#10623078C2semidirect
2. #13076905C2semidirect
3. #13076895C2semidirect
4. #13075130C2semidirect
5. #13075121C2semidirect
6. #13075076C2semidirect
7. #13075046C2semidirect
8. #13075031C2semidirect
9. #13074935C2semidirect
10. #13074911C2semidirect
11. #13074906C2semidirect
12. #13074877C2semidirect
13. #13074876C2semidirect
14. #13074861C2semidirect
15. #13074852C2semidirect
16. #13074847C2semidirect
17. #13074829C2semidirect
18. #13074828C2semidirect
19. #13074819C2semidirect
20. #13074501C2semidirect
21. #13074455C2semidirect
22. #13074288C2semidirect
23. #13074230C2semidirect
24. #13074182C2semidirect
25. #13074176C2semidirect
26. #13073578C2semidirect
27. #13073517C2semidirect
28. #13072236C2semidirect
29. #13072228C2semidirect
30. #13071249C2semidirect
31. C2×C11×#540C2semidirect
36. C2×C11×#125C22semidirect
39. C2×C11×#123C22semidirect
40. C2×C11×#123C22semidirect
44. C2×C11×#121C22semidirect
45. C2×C11×#121C22semidirect
46. C2×C11×#121C22semidirect
48. C2×C4×D4×C11C22semidirect
49. C2×C11×#117C22semidirect
55. C2×#66992C22semidirect
62. C2×#66989C22semidirect
86. #10622836C22semidirect
87. #10622836C22semidirect
88. #10622836C22semidirect
89. #10622836C22semidirect
93. #10622835C22semidirect
94. #10622835C22semidirect
95. #10622835C22semidirect
96. #10622835C22semidirect
101. #10622833C22semidirect
102. #10622833C22semidirect
107. #10622826C22semidirect
109. #10622825C22semidirect
110. #10622825C22semidirect
112. #10622823C22semidirect
113. #10622823C22semidirect
114. #10622823C22semidirect
115. C4×C22⋊Dic11C22semidirect
116. C2×C11⋊#95C22semidirect
118. #10622607C22semidirect
121. #10622606C22semidirect
123. #10622605C22semidirect
131. #10622602C22semidirect
135. #10622599C22semidirect
136. #10622597C22semidirect
137. #10622597C22semidirect
138. #10622595C22semidirect
139. #10622595C22semidirect
140. #10622594C22semidirect
141. #10622594C22semidirect
142. #10622593C22semidirect
143. #10622592C22semidirect
144. #10622591C22semidirect
145. #10622587C22semidirect
146. #10622585C22semidirect
148. #10622574C22semidirect
154. #10622571C22semidirect
164. #10622569C22semidirect
165. #10622569C22semidirect
166. #10622569C22semidirect
169. #10622565C22semidirect
172. #10622563C22semidirect
173. #10622563C22semidirect
174. #10622562C22semidirect
175. #10622561C22semidirect
176. #10622561C22semidirect
177. #10622560C22semidirect
178. #10622558C22semidirect
179. #10622557C22semidirect
180. #10622557C22semidirect
181. #10622557C22semidirect
185. #10622553C22semidirect
186. #10622550C22semidirect
187. #10622549C22semidirect
188. #10622546C22semidirect
248. C4×D4×C11D4semidirect
632. C2×#540D11semidirect
840. C2×#125C2×D11semidirect
848. C2×#123C2×D11semidirect
849. C2×#123C2×D11semidirect
865. C2×#121C2×D11semidirect
866. C2×#121C2×D11semidirect
867. C2×#121C2×D11semidirect
877. C2×C4×D4C2×D11semidirect
879. C2×#117C2×D11semidirect
1163. C4×D4C22⋊D11semidirect
1536. C11#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#106230782
#130769052
#130768952
#130751302
#130751212
#130750762
#130750462
#130750312
#130749352
#130749112
#130749062
#130748772
#130748762
#130748612
#130748522
#130748472
#130748292
#130748282
#130748192
#130745012
#130744552
#130742882
#130742302
#130741822
#130741762
#130735782
#130735172
#130722362
#130722282
#130712492
C2×C11×#5402
#3671311