Finite Group Databasebeta

← #14960607

Subgroups — #14960607

Order 2816.

2910 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623139C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075172C211yesmaximal, characteristic, complemented
6#13075170C211yesmaximal, characteristic, complemented
7#13075169C211yesmaximal, characteristic, complemented
8#13075167C211yesmaximal, characteristic, complemented
9#13075165C211yesmaximal, characteristic, complemented
10#13075164C211yesmaximal, characteristic, complemented
11#13075163C211yesmaximal, characteristic, complemented
12#13075162C211yesmaximal, characteristic, complemented
13#13074888C211yesmaximal, characteristic, complemented
14#13074887C211yesmaximal, characteristic, complemented
15#13074881C211yesmaximal, characteristic, complemented
16#13074878C211yesmaximal, characteristic, complemented
17#13074877C211yesmaximal, characteristic, complemented
18#13074876C211yesmaximal, characteristic, complemented
19#13074875C211yesmaximal, characteristic, complemented
20#13074355C211yesmaximal, characteristic, complemented
21#13074349C211yesmaximal, characteristic, complemented
22#13074094C211yesmaximal, characteristic, complemented
23#13074090C211yesmaximal, characteristic, complemented
24#13072250C211yesmaximal, characteristic, complemented
25#13072248C211yesmaximal, characteristic, complemented
26#13071933C211yesmaximal, characteristic, complemented
27#13071933C211yesmaximal, characteristic, complemented
28#13071930C211yesmaximal, characteristic, complemented
29#13071930C211yesmaximal, characteristic, complemented
30#13071215C211yesmaximal, characteristic, complemented
31C11×#2673C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#127C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic, complemented
40C2×#66993C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66993C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66992C2211yescharacteristic, complemented
45C2×#66992C2211yescharacteristic, complemented
46C2×#66991C2211yescharacteristic
47C2×#66991C2211yescharacteristic
48C2×#66991C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic, complemented
50C2×#66990C2211yescharacteristic
51C2×#66990C2211yescharacteristic
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66990C2211yescharacteristic
55C2×#66990C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66982C2211yescharacteristic
58C2×#66977C2211yescharacteristic, complemented
59D11×#123—28no—
60#10623139—28no—
61C2×#66950C2211yescharacteristic, complemented
62C2×#66947C2211yescharacteristic
63C2×#66947C2211yescharacteristic
64C2×C4⋊C4×D11C2211yescharacteristic
65C2×C4⋊C4×D11C2211yescharacteristic
66C2×#66939C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic
71C2×#66936C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×C22⋊C4×D11C2211yescharacteristic
77C2×#66931C2211yescharacteristic, complemented
78C2×#66931C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#392C2211yescharacteristic
82C11×#392C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic, complemented
84C11×#392C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#387C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic, complemented
89C11×#386C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic, complemented
96#10622836C2211yescharacteristic, complemented
97#10622836C2211yescharacteristic, complemented
98#10622836C2211yescharacteristic, complemented
99#10622836C2211yescharacteristic, complemented
100#10622836C2211yescharacteristic, complemented
101#10622835C2211yescharacteristic, complemented
102#10622835C2211yescharacteristic, complemented
103#10622835C2211yescharacteristic, complemented
104#10622834C2211yescharacteristic
105#10622833C2211yescharacteristic, complemented
106#10622833C2211yescharacteristic, complemented
107#10622833C2211yescharacteristic, complemented
108#10622833C2211yescharacteristic, complemented
109#10622833C2211yescharacteristic, complemented
110#10622833C2211yescharacteristic, complemented
111#10622826C2211yescharacteristic, complemented
112#10622826C2211yescharacteristic, complemented
113#10622826C2211yescharacteristic, complemented
114#10622825C2211yescharacteristic, complemented
115#10622604C2211yescharacteristic, complemented
116#10622603C2211yescharacteristic, complemented
117#10622600C2211yescharacteristic
118#10622600C2211yescharacteristic, complemented
119#10622599C2211yescharacteristic, complemented
120#10622594C2211yescharacteristic, complemented
121#10622591C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic, complemented
127#10622573C2211yescharacteristic, complemented
128#10622573C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic, complemented
133#10622571C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic, complemented
135#10622571C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622569C2211yescharacteristic, complemented
147#10622569C2211yescharacteristic, complemented
148#10622569C2211yescharacteristic, complemented
149#10622566C2211yescharacteristic, complemented
150#10622565C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622564C2211yescharacteristic, complemented
153#10622560C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622560C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161#10622553C2211yescharacteristic, complemented
162#10622552C2211yescharacteristic
163C4×(C2×D11)⋊C4C2211yescharacteristic
164#10622546C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622287C2211yescharacteristic, complemented
167#10622286C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622286C2211yescharacteristic, complemented
170#10622286C2211yescharacteristic, complemented
171#10622284C2211yescharacteristic
172#10622280C2211yescharacteristic
173#10622280C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic
182#10622273C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
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
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
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
218C22×C22⋊D11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C2×#4341—24no—
223C2×#4341—42no—
224C2×#4341—42no—
225C2×D4×D11—24no—
226C2×D4×D11—42no—
227C2×D4×D11—42no—
228C2×#4339—24no—
229C2×#4339—42no—
230C2×#4339—42no—
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×D44C2311yescharacteristic
234C22×D44C2311yescharacteristic
235C22×C4×D11—24no—
236C22×C4×D11—42no—
237C22×C4×D11—42no—
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×Dic22C2311yescharacteristic
247C22×Dic22C2311yescharacteristic
248C11×#127—42no—
249C11×#123—24no—
250C11×#121—24no—
251C11×#121—42no—
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊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×C22⋊Dic11C2311yescharacteristic
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
288#66993—42no—
289#66993—42no—
290#66993—42no—
291#66992—24no—
292#66992—24no—
293#66992—42no—
294#66991—24no—
295#66991—24no—
296#66991—24no—
297#66991—42no—
298#66990—42no—
299#66990—42no—
300#66990—42no—
301#66990—42no—
302#66990—42no—
303#66990—42no—
304#66988—24no—
305#66982—24no—
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335#66977—24no—
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347#66950—24no—
348#66947—24no—
349#66947—24no—
350C4⋊C4×D11—24no—
351C4⋊C4×D11D418yescomplemented
352#66939—24no—
353#66937—24no—
354#66937—24no—
355#66937—42no—
356#66936—24no—
357#66936—24no—
358#66935—42no—
359#66935—42no—
360C22⋊C4×D11—24no—
361C22⋊C4×D11—24no—
362C22⋊C4×D11—24no—
363#66931—24no—
364#66931—24no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#36710—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—41no—
412C23×D11—41no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C23×D11C2411yescharacteristic
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—22no—
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×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11—41no—
444C2×D4×C11—41no—
445C2×D4×C11—41no—
446C2×D4×C11—41no—
447C2×D4×C11—41no—
448C2×D4×C11—41no—
449C2×D4×C11—41no—
450C2×D4×C11—41no—
451C22×C4×C11—22no—
452C22×C4×C11—22no—
453C22×C4×C11—22no—
454C22×C4×C11—41no—
455C22×C4×C11—41no—
456C22×C4×C11—41no—
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
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—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
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—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—41no—
505C2×C22⋊D11—41no—
506C2×C22⋊D11—41no—
507C2×C22⋊D11—41no—
508C2×C22⋊D11—41no—
509C2×C22⋊D11—41no—
510C2×C22⋊D11—41no—
511C2×C22⋊D11—41no—
512C2×C22⋊D11—41no—
513C2×C22⋊D11—41no—
514C2×C22⋊D11—41no—
515C22×Dic11—22no—
516C22×Dic11—22no—
517C22×Dic11—22no—
518C22×Dic11—22no—
519C22×Dic11—41no—
520C22×Dic11—41no—
521C22×Dic11—41no—
522C22×Dic11—41no—
523C22×Dic11—41no—
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532C22×Dic11C2411yescharacteristic
533C22×Dic11C2411yescharacteristic
534C22×Dic11C2411yescharacteristic
535C22×Dic11C2411yescharacteristic
536#4341—416no—
537D4×D11—416no—
538#4339—416no—
539C2×D44—22no—
540C2×D44—22no—
541C2×D44—22no—
542C2×D44—22no—
543C2×D44—22no—
544C2×D44—22no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×D44—41no—
550C2×D44—41no—
551C2×C4×D11—22no—
552C2×C4×D11—22no—
553C2×C4×D11—22no—
554C2×C4×D11—22no—
555C2×C4×D11—22no—
556C2×C4×D11—22no—
557C2×C4×D11—22no—
558C2×C4×D11—22no—
559C2×C4×D11—22no—
560C2×C4×D11—41no—
561C2×C4×D11—41no—
562C2×C4×D11—41no—
563C2×C4×D11—41no—
564C2×C4×D11—41no—
565C2×C4×D11—41no—
566C2×C4×D11—41no—
567C2×C4×D11—41no—
568C2×C4×D11—41no—
569C2×C4×D11—41no—
570C2×C4×D11—41no—
571C2×C4×D11—41no—
572C2×C4×D11—416no—
573C2×C4×D11C2×D414yes—
574C2×C4×D11C2×D414yes—
575C2×C4×D11C2×D414yes—
576C2×Dic22—22no—
577C2×Dic22—22no—
578C2×Dic22—41no—
579C2×Dic22—41no—
580C2×Dic22—41no—
581C2×Dic22—41no—
582C11×C4⋊C4—22no—
583C11×C4⋊C4—41no—
584C11×C4⋊C4C2×D414yes—
585C11×C22⋊C4—22no—
586C11×C22⋊C4—22no—
587C11×C22⋊C4—22no—
588C11×C22⋊C4—22no—
589C11×C22⋊C4—22no—
590C11×C22⋊C4—41no—
591C11×C22⋊C4—41no—
592C11×C22⋊C4—41no—
593C11×C22⋊C4—41no—
594C11×C22⋊C4—41no—
595C11×C22⋊C4—41no—
596C11×C22⋊C4—41no—
597C11×C22⋊C4—41no—
598C42×C11—41no—
599C22⋊Dic11—22no—
600C22⋊Dic11—22no—
601C22⋊Dic11—22no—
602C22⋊Dic11—22no—
603C22⋊Dic11—22no—
604C22⋊Dic11—22no—
605C22⋊Dic11—22no—
606C22⋊Dic11—41no—
607C22⋊Dic11—41no—
608C22⋊Dic11—41no—
609C22⋊Dic11—41no—
610C22⋊Dic11—41no—
611C22⋊Dic11—41no—
612C22⋊Dic11—41no—
613C22⋊Dic11—41no—
614C22⋊Dic11—41no—
615C22⋊Dic11—41no—
616C22⋊Dic11—41no—
617C22⋊Dic11—41no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—22no—
621(C2×D11)⋊C4—22no—
622(C2×D11)⋊C4—22no—
623(C2×D11)⋊C4—22no—
624(C2×D11)⋊C4—22no—
625(C2×D11)⋊C4—22no—
626(C2×D11)⋊C4—22no—
627(C2×D11)⋊C4—22no—
628(C2×D11)⋊C4—22no—
629(C2×D11)⋊C4—22no—
630(C2×D11)⋊C4—41no—
631(C2×D11)⋊C4—41no—
632(C2×D11)⋊C4—41no—
633(C2×D11)⋊C4—41no—
634(C2×D11)⋊C4—41no—
635(C2×D11)⋊C4—41no—
636(C2×D11)⋊C4—41no—
637(C2×D11)⋊C4—41no—
638(C2×D11)⋊C4—41no—
639(C2×D11)⋊C4—41no—
640(C2×D11)⋊C4—41no—
641(C2×D11)⋊C4—41no—
642C4⋊Dic11—22no—
643C4⋊Dic11—22no—
644C4⋊Dic11—22no—
645C4⋊Dic11—41no—
646C4⋊Dic11C2×D414yes—
647Dic11⋊C4—22no—
648Dic11⋊C4—22no—
649Dic11⋊C4—22no—
650Dic11⋊C4—22no—
651Dic11⋊C4—41no—
652Dic11⋊C4—41no—
653Dic11⋊C4C2×D414yes—
654Dic11⋊C4C2×D414yes—
655C4×Dic11—41no—
656C4×Dic11—41no—
657C4×Dic11—41no—
658C2×#537—111no—
659C22×#123—111no—
660#2847—111no—
661#2847—111no—
662#2696—111no—
663#2696—111no—
664#2696—111no—
665#2696—111no—
666#2696—111no—
667#2696—111no—
668#2696—111no—
669#2696—111no—
670#2673—111no—
671#2673—111no—
672#2673—111no—
673#2673—111no—
674#2673—111no—
675#2673—111no—
676#2673—111no—
677#2673D1111yescharacteristic, complemented
678#2617—111no—
679#2617—111no—
680#2591—111no—
681#2591—111no—
682#2433—111no—
683#2433—111no—
684#2404—111no—
685#2404—111no—
686#2404—111no—
687#2404—111no—
688#2313—111no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—21no—
713C23×C11—21no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11—21no—
717C23×C11—21no—
718C23×C11—21no—
719C23×C11—21no—
720C23×C11—21no—
721C23×C11—21no—
722C23×C11—21no—
723C23×C11H(5,𝔽2)12yes—
724C23×C11C2511yescharacteristic
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—28no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—44no—
751C22×D11—44no—
752C22×D11—44no—
753C22×D11—44no—
754C22×D11—44no—
755C22×D11—44no—
756C22×D11—44no—
757C22×D11—44no—
758C22×D11—44no—
759C22×D11—82no—
760C22×D11—82no—
761C22×D11—82no—
762C22×D11—82no—
763C22×D11C22×D412yes—
764C22×D11H(5,𝔽2)12yes—
765C22×D11H(5,𝔽2)12yes—
766C22×D11H(5,𝔽2)12yes—
767D4×C11—44no—
768D4×C11—44no—
769D4×C11—82no—
770D4×C11—82no—
771D4×C11—82no—
772D4×C11—82no—
773D4×C11—82no—
774D4×C11—82no—
775D4×C11—82no—
776D4×C11—82no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—44no—
805C2×C4×C11—44no—
806C2×C4×C11C22×D412yes—
807C2×C4×C11C22×D412yes—
808C2×C4×C11C22×D412yes—
809C22⋊D11—44no—
810C22⋊D11—44no—
811C22⋊D11—44no—
812C22⋊D11—44no—
813C22⋊D11—44no—
814C22⋊D11—44no—
815C22⋊D11—82no—
816C22⋊D11—82no—
817C22⋊D11—82no—
818C22⋊D11—82no—
819C22⋊D11—82no—
820C22⋊D11—82no—
821C22⋊D11—82no—
822C22⋊D11—82no—
823C22⋊D11—82no—
824C22⋊D11—82no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—44no—
859C2×Dic11—44no—
860C2×Dic11—44no—
861C2×Dic11C22×D412yes—
862C2×Dic11C22×D412yes—
863C2×Dic11C22×D412yes—
864D44—44no—
865D44—44no—
866D44—82no—
867D44—82no—
868C4×D11—28no—
869C4×D11—44no—
870C4×D11—44no—
871C4×D11—44no—
872C4×D11—44no—
873C4×D11—44no—
874C4×D11—44no—
875C4×D11—44no—
876Dic22—44no—
877Dic22—44no—
878C22×#41—111no—
879C22×#41—111no—
880C23×D4—111no—
881C24×C4—111no—
882#537—228no—
883C2×#127—111no—
884C2×#127—111no—
885C2×#127—111no—
886C2×#127C2×D1111yescharacteristic
887C2×#123—111no—
888C2×#123—111no—
889C2×#123—111no—
890C2×#123—111no—
891C2×#123—111no—
892C2×#123—111no—
893C2×#123—111no—
894C2×#123—228no—
895C2×#123C2×D1111yescharacteristic
896C2×C22⋊Q8—111no—
897C2×C22⋊Q8—111no—
898C2×C22⋊Q8—111no—
899C2×C22⋊Q8—111no—
900C2×#121—111no—
901C2×#121—111no—
902C2×#121—111no—
903C2×#121—111no—
904C2×#121—111no—
905C2×#121—111no—
906C2×#121—111no—
907C2×#121—111no—
908C2×#121—111no—
909C2×#121—111no—
910C2×#121C2×D1111yescharacteristic, complemented
911C2×#121C2×D1111yescharacteristic, complemented
912C2×#120—111no—
913C2×#120—111no—
914C2×#120—111no—
915C2×#120—111no—
916C2×#120—111no—
917C2×#120—111no—
918C2×#120—111no—
919C2×#120—111no—
920C22×C4⋊C4—111no—
921C22×C4⋊C4—111no—
922C22×C22⋊C4—111no—
923C22×C22⋊C4—111no—
924C22×C22⋊C4—111no—
925#400—111no—
926#400—111no—
927#400—111no—
928#400—111no—
929#397—111no—
930#397—111no—
931#397—111no—
932#397—111no—
933#394—111no—
934#394—111no—
935#394—111no—
936#394—111no—
937#394—111no—
938#394—111no—
939#394—111no—
940#394—111no—
941#394—111no—
942#394—111no—
943#394C2×D1111yescharacteristic, complemented
944#394C2×D1111yescharacteristic, complemented
945#393—111no—
946#393—111no—
947#393—111no—
948#393—111no—
949#393—111no—
950#393—111no—
951#393—111no—
952#393—111no—
953#392—111no—
954#392—111no—
955#392—111no—
956#392—111no—
957#392—111no—
958#392—111no—
959#392—111no—
960#392—111no—
961#392—111no—
962#392—111no—
963#392—111no—
964#392—111no—
965#392—111no—
966#392—111no—
967#392—111no—
968#392—111no—
969#392C2×D1111yescharacteristic
970#392C2×D1111yescharacteristic, complemented
971#392C2×D1111yescharacteristic, complemented
972#392C2×D1111yescharacteristic, complemented
973#390—111no—
974#390—111no—
975#390—111no—
976#390—111no—
977#388—111no—
978#388—111no—
979#388—111no—
980#388—111no—
981#388—111no—
982#388—111no—
983#388—111no—
984#388C2×D1111yescharacteristic, complemented
985#387—111no—
986#387—111no—
987#387—111no—
988#387—111no—
989#387—111no—
990#387—111no—
991#387—111no—
992#387C2×D1111yescharacteristic, complemented
993#386—111no—
994#386—111no—
995#386—111no—
996#386—111no—
997#386—111no—
998#386—111no—
999#386—111no—
1000#386—111no—
1001#386—111no—
1002#386—111no—
1003#386—111no—
1004#386—111no—
1005#386—111no—
1006#386—111no—
1007#386—111no—
1008#386—111no—
1009#386—111no—
1010#386—111no—
1011#386—111no—
1012#386—111no—
1013#386—111no—
1014#386—111no—
1015#386—111no—
1016#386—111no—
1017#386—111no—
1018#386—111no—
1019#386—111no—
1020#386—111no—
1021#386—111no—
1022#386C2×D1111yescharacteristic, complemented
1023#386C2×D1111yescharacteristic, complemented
1024#386C2×D1111yescharacteristic, complemented
1025#381—111no—
1026#381—111no—
1027#380—111no—
1028#380—111no—
1029#380—111no—
1030#380—111no—
1031#380—111no—
1032#380—111no—
1033C4×C22⋊C4—111no—
1034C4×C22⋊C4—111no—
1035C22×C11—22no—
1036C22×C11—22no—
1037C22×C11—22no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11C23×D411yescharacteristic
1071C22×C11C2×H(5,𝔽2)11yescharacteristic
1072C22×C11C2×H(5,𝔽2)11yescharacteristic
1073C22×C11C2×H(5,𝔽2)11yescharacteristic
1074C22×C11C2×H(5,𝔽2)11yescharacteristic
1075C22×C11#58511yescharacteristic
1076C22×C11#58511yescharacteristic
1077C2×D11—22no—
1078C2×D11—22no—
1079C2×D11—22no—
1080C2×D11—22no—
1081C2×D11—22no—
1082C2×D11—22no—
1083C2×D11—22no—
1084C2×D11—22no—
1085C2×D11—22no—
1086C2×D11—416no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—88no—
1106C2×D11#53514yes—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117Dic11—22no—
1118Dic11—22no—
1119Dic11—22no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129C25—111no—
1130C25—111no—
1131C2×#41—224no—
1132C2×#41—224no—
1133C2×#41—442no—
1134C2×#41—442no—
1135C2×#41—442no—
1136C2×#41—442no—
1137C22×Q8—111no—
1138C22×Q8—111no—
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—111no—
1148C22×D4—111no—
1149C22×D4—111no—
1150C22×D4—111no—
1151C22×D4—111no—
1152C22×D4—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—111no—
1159C22×D4—224no—
1160C22×D4—442no—
1161C22×D4—442no—
1162C22×D4C22×D1111yescharacteristic
1163C22×D4C22×D1111yescharacteristic
1164C22×D4C22×D1111yescharacteristic
1165C22×D4C22×D1111yescharacteristic
1166C22×D4C22×D1111yescharacteristic
1167C22×D4C22×D1111yescharacteristic
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C22×D4C22×D1111yescharacteristic
1171C22×D4C22×D1111yescharacteristic
1172C23×C4—111no—
1173C23×C4—111no—
1174C23×C4—111no—
1175C23×C4—111no—
1176C23×C4—111no—
1177C23×C4—111no—
1178C23×C4—111no—
1179C23×C4—111no—
1180C23×C4—111no—
1181C23×C4—111no—
1182C23×C4—111no—
1183C23×C4—224no—
1184C23×C4—442no—
1185C23×C4—442no—
1186C23×C4C22×D1111yescharacteristic
1187C23×C4C22×D1111yescharacteristic
1188#127—42no—
1189#127—442no—
1190#127—442no—
1191#127—442no—
1192#123—24no—
1193#123—224no—
1194#123—224no—
1195#123—224no—
1196#123—224no—
1197#123—224no—
1198#123—224no—
1199#123—224no—
1200C22⋊Q8—224no—
1201C22⋊Q8—224no—
1202C22⋊Q8—224no—
1203C22⋊Q8—224no—
1204#121—24no—
1205#121—42no—
1206#121—224no—
1207#121—224no—
1208#121—224no—
1209#121—224no—
1210#121—224no—
1211#121—224no—
1212#121—224no—
1213#121—442no—
1214#121—442no—
1215#121—442no—
1216#120—442no—
1217#120—442no—
1218#120—442no—
1219#120—442no—
1220#120—442no—
1221#120—442no—
1222#120—442no—
1223#120—442no—
1224C2×C4⋊C4—111no—
1225C2×C4⋊C4—111no—
1226C2×C4⋊C4—111no—
1227C2×C4⋊C4—118no—
1228C2×C4⋊C4—111no—
1229C2×C4⋊C4—111no—
1230C2×C4⋊C4—111no—
1231C2×C4⋊C4—111no—
1232C2×C4⋊C4—111no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C4⋊C4—111no—
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—224no—
1239C2×C4⋊C4C22×D1111yescharacteristic
1240C2×C4⋊C4C22×D1111yescharacteristic
1241C2×C4⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—111no—
1264C2×C22⋊C4—111no—
1265C2×C22⋊C4—111no—
1266C2×C22⋊C4—111no—
1267C2×C22⋊C4—111no—
1268C2×C22⋊C4—111no—
1269C2×C22⋊C4—111no—
1270C2×C22⋊C4—111no—
1271C2×C22⋊C4—111no—
1272C2×C22⋊C4—111no—
1273C2×C22⋊C4—111no—
1274C2×C22⋊C4—111no—
1275C2×C22⋊C4—111no—
1276C2×C22⋊C4—111no—
1277C2×C22⋊C4—111no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—111no—
1280C2×C22⋊C4—111no—
1281C2×C22⋊C4—111no—
1282C2×C22⋊C4—111no—
1283C2×C22⋊C4—111no—
1284C2×C22⋊C4—111no—
1285C2×C22⋊C4—224no—
1286C2×C22⋊C4—224no—
1287C2×C22⋊C4—224no—
1288C2×C22⋊C4C22×D1111yescharacteristic
1289C2×C22⋊C4C22×D1111yescharacteristic
1290C2×C22⋊C4C22×D1111yescharacteristic
1291C2×C22⋊C4C22×D1111yescharacteristic
1292C2×C22⋊C4C22×D1111yescharacteristic
1293C2×C22⋊C4C22×D1111yescharacteristic
1294C2×C22⋊C4C22×D1111yescharacteristic
1295C2×C22⋊C4C22×D1111yescharacteristic
1296C2×C22⋊C4C22×D1111yescharacteristic
1297C2×C22⋊C4C22×D1111yescharacteristic
1298C2×C22⋊C4C22×D1111yescharacteristic
1299C2×C22⋊C4C22×D1111yescharacteristic
1300C2×C22⋊C4C22×D1111yescharacteristic
1301C2×C42—111no—
1302C2×C42—111no—
1303C2×C42—111no—
1304C2×C42C22×D1111yescharacteristic
1305#95—111no—
1306#95—111no—
1307#95—111no—
1308#95—111no—
1309#95—111no—
1310#95—111no—
1311#95—111no—
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95—111no—
1316#95—111no—
1317#95—111no—
1318#95—111no—
1319#95—111no—
1320#95—111no—
1321#95—111no—
1322#95—111no—
1323#95—111no—
1324#95—111no—
1325#95—111no—
1326#95—111no—
1327#95—111no—
1328#95—111no—
1329#95—111no—
1330#95—111no—
1331#95C22×D1111yescharacteristic
1332#95C22×D1111yescharacteristic
1333#95C22×D1111yescharacteristic
1334#95C22×D1111yescharacteristic
1335#95C22×D1111yescharacteristic
1336#95C22×D1111yescharacteristic
1337C2×C11—42no—
1338C2×C11—81no—
1339C2×C11—81no—
1340C2×C11—81no—
1341C2×C11—81no—
1342C2×C11C2×#53511yescharacteristic
1343C2×C11#348411yescharacteristic
1344C2×C11#348711yescharacteristic
1345C2×C11#353411yescharacteristic
1346C2×C11#353411yescharacteristic
1347C2×C11#353411yescharacteristic
1348C2×C11#353411yescharacteristic
1349D11—24no—
1350D11—42no—
1351D11—81no—
1352D11—81no—
1353C24—111no—
1354C24—111no—
1355C24—111no—
1356C24—111no—
1357C24—222no—
1358C24—222no—
1359C24—222no—
1360C24—222no—
1361C24—222no—
1362C24—222no—
1363C24—222no—
1364C24—222no—
1365C24—441no—
1366C24—441no—
1367C24—441no—
1368C24—441no—
1369C24—441no—
1370C24—441no—
1371C24C23×D1111yescharacteristic
1372C24C23×D1111yescharacteristic
1373C24C23×D1111yescharacteristic
1374C24C23×D1111yescharacteristic
1375C24C23×D1111yescharacteristic
1376#41—4416no—
1377#41—4416no—
1378C2×Q8—222no—
1379C2×Q8—222no—
1380C2×Q8—441no—
1381C2×Q8—441no—
1382C2×Q8—441no—
1383C2×Q8—441no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—222no—
1415C2×D4—222no—
1416C2×D4—222no—
1417C2×D4—222no—
1418C2×D4—222no—
1419C2×D4—222no—
1420C2×D4—222no—
1421C2×D4—222no—
1422C2×D4—222no—
1423C2×D4—222no—
1424C2×D4—222no—
1425C2×D4—222no—
1426C2×D4—222no—
1427C2×D4—222no—
1428C2×D4—222no—
1429C2×D4—222no—
1430C2×D4—222no—
1431C2×D4—222no—
1432C2×D4—222no—
1433C2×D4—222no—
1434C2×D4—222no—
1435C2×D4—222no—
1436C2×D4—222no—
1437C2×D4—222no—
1438C2×D4—222no—
1439C2×D4—222no—
1440C2×D4—441no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—441no—
1450C2×D4—441no—
1451C2×D4—441no—
1452C2×D4—441no—
1453C2×D4—441no—
1454C2×D4—441no—
1455C2×D4—441no—
1456C2×D4—441no—
1457C2×D4—441no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—441no—
1461C2×D4—441no—
1462C2×D4—441no—
1463C2×D4—441no—
1464C2×D4—441no—
1465C2×D4—441no—
1466C2×D4—441no—
1467C2×D4—441no—
1468C2×D4—441no—
1469C2×D4—441no—
1470C2×D4—441no—
1471C2×D4—441no—
1472C2×D4—441no—
1473C2×D4—441no—
1474C2×D4—4416no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—111no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—114no—
1485C22×C4—114no—
1486C22×C4—114no—
1487C22×C4—111no—
1488C22×C4—111no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—111no—
1494C22×C4—111no—
1495C22×C4—111no—
1496C22×C4—222no—
1497C22×C4—222no—
1498C22×C4—222no—
1499C22×C4—222no—
1500C22×C4—222no—
1501C22×C4—222no—
1502C22×C4—222no—
1503C22×C4—222no—
1504C22×C4—222no—
1505C22×C4—222no—
1506C22×C4—222no—
1507C22×C4—222no—
1508C22×C4—222no—
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—4416no—
1522C22×C4—441no—
1523C22×C4—441no—
1524C22×C4—441no—
1525C22×C4—441no—
1526C22×C4—441no—
1527C22×C4C23×D1111yescharacteristic
1528C22×C4C23×D1111yescharacteristic
1529C22×C4C23×D1111yescharacteristic
1530C22×C4C23×D1111yescharacteristic
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C4⋊C4—22no—
1538C4⋊C4—41no—
1539C4⋊C4—114no—
1540C4⋊C4—114no—
1541C4⋊C4—114no—
1542C4⋊C4—222no—
1543C4⋊C4—222no—
1544C4⋊C4—222no—
1545C4⋊C4—222no—
1546C4⋊C4—222no—
1547C4⋊C4—222no—
1548C4⋊C4—222no—
1549C4⋊C4—441no—
1550C4⋊C4—441no—
1551C4⋊C4—441no—
1552C4⋊C4D4×D1114yes—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—222no—
1567C22⋊C4—222no—
1568C22⋊C4—222no—
1569C22⋊C4—222no—
1570C22⋊C4—222no—
1571C22⋊C4—222no—
1572C22⋊C4—222no—
1573C22⋊C4—222no—
1574C22⋊C4—222no—
1575C22⋊C4—222no—
1576C22⋊C4—222no—
1577C22⋊C4—222no—
1578C22⋊C4—222no—
1579C22⋊C4—222no—
1580C22⋊C4—222no—
1581C22⋊C4—222no—
1582C22⋊C4—222no—
1583C22⋊C4—222no—
1584C22⋊C4—222no—
1585C22⋊C4—441no—
1586C22⋊C4—441no—
1587C22⋊C4—441no—
1588C22⋊C4—441no—
1589C22⋊C4—441no—
1590C22⋊C4—441no—
1591C22⋊C4—441no—
1592C22⋊C4—441no—
1593C22⋊C4—441no—
1594C22⋊C4—441no—
1595C22⋊C4—441no—
1596C22⋊C4—441no—
1597C22⋊C4—441no—
1598C22⋊C4—441no—
1599C22⋊C4—441no—
1600C22⋊C4—441no—
1601C22⋊C4—441no—
1602C22⋊C4—441no—
1603C22⋊C4—441no—
1604C22⋊C4—441no—
1605C22⋊C4—441no—
1606C22⋊C4—441no—
1607C22⋊C4—441no—
1608C22⋊C4—441no—
1609C42—41no—
1610C42—441no—
1611C42—441no—
1612C42—441no—
1613C11#3671011yescharacteristic, complemented, Sylow
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—112no—
1649C23—112no—
1650C23—112no—
1651C23—112no—
1652C23—228no—
1653C23—221no—
1654C23—221no—
1655C23—221no—
1656C23—221no—
1657C23—221no—
1658C23—221no—
1659C23—221no—
1660C23—221no—
1661C23—221no—
1662C23—221no—
1663C23—221no—
1664C23—221no—
1665C23—221no—
1666C23—221no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—221no—
1671C23—221no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—444no—
1678C23—444no—
1679C23—444no—
1680C23—444no—
1681C23—444no—
1682C23—444no—
1683C23—444no—
1684C23—444no—
1685C23—444no—
1686C23—882no—
1687C23—882no—
1688C23—882no—
1689C23—882no—
1690C23#6703712yes—
1691C23C24×D1111yescharacteristic
1692Q8—444no—
1693Q8—444no—
1694D4—44no—
1695D4—44no—
1696D4—82no—
1697D4—82no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—444no—
1705D4—444no—
1706D4—444no—
1707D4—444no—
1708D4—444no—
1709D4—444no—
1710D4—444no—
1711D4—444no—
1712D4—882no—
1713D4—882no—
1714D4—882no—
1715D4—882no—
1716D4—882no—
1717D4—882no—
1718D4—882no—
1719D4—882no—
1720D4—882no—
1721D4—882no—
1722D4—882no—
1723D4—882no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—112no—
1754C2×C4—112no—
1755C2×C4—112no—
1756C2×C4—228no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—444no—
1791C2×C4—444no—
1792C2×C4—444no—
1793C2×C4—444no—
1794C2×C4—444no—
1795C2×C4—444no—
1796C2×C4—444no—
1797C2×C4—444no—
1798C2×C4—444no—
1799C2×C4—444no—
1800C2×C4C2×D4×D1112yes—
1801C2×C4C2×D4×D1112yes—
1802C2×C4C2×D4×D1112yes—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—114no—
1839C22—222no—
1840C22—222no—
1841C22—222no—
1842C22—222no—
1843C22—222no—
1844C22—222no—
1845C22—222no—
1846C22—222no—
1847C22—222no—
1848C22—4416no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—888no—
1868C22C22×D4×D1111yescharacteristic
1869C22C2×#6703711yescharacteristic
1870C22#1062345311yescharacteristic
1871C22D11×H(5,𝔽2)11yescharacteristic
1872C22D11×H(5,𝔽2)11yescharacteristic
1873C22D11×H(5,𝔽2)11yescharacteristic
1874C22#1062345511yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—222no—
1886C4—222no—
1887C4—222no—
1888C4—441no—
1889C4—441no—
1890C4—441no—
1891C4—441no—
1892C4—441no—
1893C4—441no—
1894C4—441no—
1895C4—441no—
1896C4—441no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—81no—
1902C2—224no—
1903C2—442no—
1904C2—881no—
1905C2—881no—
1906C2D11×#53511yescharacteristic
1907C2#1308224411yescharacteristic
1908C2#1308226911yescharacteristic
1909C2#1308279611yescharacteristic
1910C2#1308279711yescharacteristic
1911C2#1308279811yescharacteristic
1912C2#1308279911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2673C2
hypercenter#2673D11
hypocenterC11#36710
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#10623139C2semidirect
2. C2×D11×#123C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075172C2semidirect
6. #13075170C2semidirect
7. #13075169C2semidirect
8. #13075167C2semidirect
9. #13075165C2semidirect
10. #13075164C2semidirect
11. #13075163C2semidirect
12. #13075162C2semidirect
13. #13074888C2semidirect
14. #13074887C2semidirect
15. #13074881C2semidirect
16. #13074878C2semidirect
17. #13074877C2semidirect
18. #13074876C2semidirect
19. #13074875C2semidirect
20. #13074355C2semidirect
21. #13074349C2semidirect
22. #13074094C2semidirect
23. #13074090C2semidirect
24. #13072250C2semidirect
25. #13072248C2semidirect
26. #13071933C2semidirect
27. #13071933C2semidirect
28. #13071930C2semidirect
29. #13071930C2semidirect
30. #13071215C2semidirect
31. C11×#2673C2semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#121C22semidirect
43. C2×#66992C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
48. C2×#66991C22semidirect
49. C2×#66991C22semidirect
58. C2×#66977C22semidirect
61. C2×#66950C22semidirect
69. C2×#66937C22semidirect
77. C2×#66931C22semidirect
78. C2×#66931C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
82. C11×#392C22semidirect
83. C11×#392C22semidirect
84. C11×#392C22semidirect
85. C11×#388C22semidirect
86. C11×#387C22semidirect
87. C11×#386C22semidirect
88. C11×#386C22semidirect
89. C11×#386C22semidirect
95. #10622836C22semidirect
96. #10622836C22semidirect
97. #10622836C22semidirect
98. #10622836C22semidirect
99. #10622836C22semidirect
100. #10622836C22semidirect
101. #10622835C22semidirect
102. #10622835C22semidirect
103. #10622835C22semidirect
105. #10622833C22semidirect
106. #10622833C22semidirect
107. #10622833C22semidirect
108. #10622833C22semidirect
109. #10622833C22semidirect
110. #10622833C22semidirect
111. #10622826C22semidirect
112. #10622826C22semidirect
113. #10622826C22semidirect
114. #10622825C22semidirect
115. #10622604C22semidirect
116. #10622603C22semidirect
118. #10622600C22semidirect
119. #10622599C22semidirect
120. #10622594C22semidirect
121. #10622591C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
126. #10622573C22semidirect
127. #10622573C22semidirect
128. #10622573C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622571C22semidirect
133. #10622571C22semidirect
134. #10622571C22semidirect
135. #10622571C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
146. #10622569C22semidirect
147. #10622569C22semidirect
148. #10622569C22semidirect
149. #10622566C22semidirect
150. #10622565C22semidirect
151. #10622564C22semidirect
152. #10622564C22semidirect
153. #10622560C22semidirect
154. #10622560C22semidirect
155. #10622560C22semidirect
156. #10622560C22semidirect
157. #10622558C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
160. #10622555C22semidirect
161. #10622553C22semidirect
164. #10622546C22semidirect
165. #10622288C22semidirect
166. #10622287C22semidirect
167. #10622286C22semidirect
168. #10622286C22semidirect
169. #10622286C22semidirect
170. #10622286C22semidirect
173. #10622280C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
182. #10622273C22semidirect
183. #10622272C22semidirect
184. #10622271C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622266C22semidirect
188. #10622265C22semidirect
351. C4⋊C4×D11D4semidirect
677. #2673D11semidirect
910. C2×#121C2×D11semidirect
911. C2×#121C2×D11semidirect
943. #394C2×D11semidirect
944. #394C2×D11semidirect
970. #392C2×D11semidirect
971. #392C2×D11semidirect
972. #392C2×D11semidirect
984. #388C2×D11semidirect
992. #387C2×D11semidirect
1022. #386C2×D11semidirect
1023. #386C2×D11semidirect
1024. #386C2×D11semidirect
1613. C11#36710semidirect

Maximal subgroups

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

subgroupindex
C2×#106231392
C2×D11×#1232
#130768972
#130768952
#130751722
#130751702
#130751692
#130751672
#130751652
#130751642
#130751632
#130751622
#130748882
#130748872
#130748812
#130748782
#130748772
#130748762
#130748752
#130743552
#130743492
#130740942
#130740902
#130722502
#130722482
#130719332
#130719302
#130712152
C11×#26732
#3671011