Finite Group Databasebeta

← #14961125

Subgroups — #14961125

Order 2816.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623123C211yesmaximal, characteristic, complemented
2C2×#10623335C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075455C211yesmaximal, characteristic, complemented
6#13075347C211yesmaximal, characteristic, complemented
7#13075338C211yesmaximal, characteristic, complemented
8#13075334C211yesmaximal, characteristic, complemented
9#13075058C211yesmaximal, characteristic, complemented
10#13075054C211yesmaximal, characteristic, complemented
11#13075028C211yesmaximal, characteristic, complemented
12#13075024C211yesmaximal, characteristic, complemented
13#13074996C211yesmaximal, characteristic, complemented
14#13074888C211yesmaximal, characteristic, complemented
15#13074884C211yesmaximal, characteristic, complemented
16#13074858C211yesmaximal, characteristic, complemented
17#13074854C211yesmaximal, characteristic, complemented
18#13074830C211yesmaximal, characteristic, complemented
19#13074824C211yesmaximal, characteristic, complemented
20#13074820C211yesmaximal, characteristic, complemented
21#13074356C211yesmaximal, characteristic, complemented
22#13074352C211yesmaximal, characteristic, complemented
23#13073058C211yesmaximal, characteristic, complemented
24#13073058C211yesmaximal, characteristic, complemented
25#13072222C211yesmaximal, characteristic, complemented
26#13072222C211yesmaximal, characteristic, complemented
27#13072013C211yesmaximal, characteristic, complemented
28#13072006C211yesmaximal, characteristic, complemented
29#13071990C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2410C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C22×#4341C2211yescharacteristic, complemented
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic, complemented
40C22×C11×C22⋊C4C2211yescharacteristic
41C2×#67006C2211yescharacteristic
42C2×#67006C2211yescharacteristic
43C2×#67006C2211yescharacteristic
44C2×#67006C2211yescharacteristic, complemented
45C22×C22⋊Dic11C2211yescharacteristic
46C22×C22⋊Dic11C2211yescharacteristic
47#10623335—28no—
48C2×#66993C2211yescharacteristic
49C2×#66993C2211yescharacteristic, complemented
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66992C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic, complemented
58C2×#66991C2211yescharacteristic, complemented
59C2×#66991C2211yescharacteristic, complemented
60C2×#66990C2211yescharacteristic
61C2×#66990C2211yescharacteristic
62C2×#66990C2211yescharacteristic, complemented
63C2×#66988C2211yescharacteristic
64C2×#66988C2211yescharacteristic
65C2×#66988C2211yescharacteristic, complemented
66C2×#66982C2211yescharacteristic
67C2×#66982C2211yescharacteristic
68C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
69#10623123—28no—
70C2×#66939C2211yescharacteristic, complemented
71C2×#66938C2211yescharacteristic
72C2×#66938C2211yescharacteristic, complemented
73C2×#66937C2211yescharacteristic
74C2×#66937C2211yescharacteristic, complemented
75C2×#66937C2211yescharacteristic, complemented
76C2×#66937C2211yescharacteristic, complemented
77C2×#66935C2211yescharacteristic, complemented
78C2×#66930C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#392C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#386C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic, complemented
87C11×#379C2211yescharacteristic, complemented
88#10622860C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic, complemented
91#10622836C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic, complemented
98#10622835C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic, complemented
103#10622833C2211yescharacteristic, complemented
104#10622833C2211yescharacteristic, complemented
105#10622833C2211yescharacteristic, complemented
106#10622826C2211yescharacteristic, complemented
107#10622826C2211yescharacteristic, complemented
108#10622826C2211yescharacteristic, complemented
109#10622825C2211yescharacteristic, complemented
110#10622825C2211yescharacteristic, complemented
111#10622823C2211yescharacteristic, complemented
112C2×C11⋊#95C2211yescharacteristic, complemented
113C2×C11⋊#95C2211yescharacteristic, complemented
114#10622606C2211yescharacteristic, complemented
115#10622606C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622600C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622592C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622574C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622574C2211yescharacteristic, complemented
128#10622573C2211yescharacteristic, complemented
129#10622573C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622569C2211yescharacteristic, complemented
147#10622569C2211yescharacteristic, complemented
148#10622569C2211yescharacteristic, complemented
149#10622569C2211yescharacteristic, complemented
150#10622569C2211yescharacteristic, complemented
151#10622566C2211yescharacteristic, complemented
152#10622566C2211yescharacteristic, complemented
153#10622565C2211yescharacteristic, complemented
154#10622565C2211yescharacteristic, complemented
155#10622565C2211yescharacteristic, complemented
156#10622565C2211yescharacteristic, complemented
157#10622564C2211yescharacteristic, complemented
158#10622564C2211yescharacteristic, complemented
159#10622563C2211yescharacteristic, complemented
160#10622562C2211yescharacteristic, complemented
161#10622562C2211yescharacteristic, complemented
162#10622560C2211yescharacteristic, complemented
163#10622560C2211yescharacteristic, complemented
164#10622559C2211yescharacteristic, complemented
165#10622559C2211yescharacteristic, complemented
166#10622559C2211yescharacteristic, complemented
167#10622558C2211yescharacteristic, complemented
168#10622558C2211yescharacteristic, complemented
169#10622556C2211yescharacteristic, complemented
170#10622556C2211yescharacteristic, complemented
171#10622555C2211yescharacteristic, complemented
172#10622555C2211yescharacteristic, complemented
173#10622288C2211yescharacteristic, complemented
174#10622288C2211yescharacteristic, complemented
175#10622285C2211yescharacteristic, complemented
176#10622285C2211yescharacteristic, complemented
177#10622280C2211yescharacteristic, complemented
178#10622280C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C25×C11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11—24no—
193C22×D4×C11—42no—
194C22×D4×C11—42no—
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×C11C2311yescharacteristic
203C22×D4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C22×C22⋊D11—42no—
208C22×C22⋊D11—42no—
209C22×C22⋊D11D418yescomplemented
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
219C22×C22⋊D11C2311yescharacteristic
220C22×C22⋊D11C2311yescharacteristic
221C22×C22⋊D11C2311yescharacteristic
222C22×C22⋊D11C2311yescharacteristic
223C22×C22⋊D11C2311yescharacteristic
224C22×C22⋊D11C2311yescharacteristic
225C22×C22⋊D11C2311yescharacteristic
226C23×Dic11C2311yescharacteristic
227C23×Dic11C2311yescharacteristic
228C23×Dic11C2311yescharacteristic
229C23×Dic11C2311yescharacteristic
230C23×Dic11C2311yescharacteristic
231C23×Dic11C2311yescharacteristic
232C2×#4341—24no—
233C2×#4341—42no—
234C2×#4341—42no—
235C22×D44C2311yescharacteristic
236C22×D44C2311yescharacteristic
237C22×C4×D11—42no—
238C22×C4×D11—42no—
239C22×C4×D11—42no—
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C11×#121—42no—
247C11×#121—42no—
248C11×#120—24no—
249C11×#120—42no—
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4—42no—
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊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
268#67006—24no—
269#67006—24no—
270#67006—24no—
271#67006—42no—
272C2×C22⋊Dic11—24no—
273C2×C22⋊Dic11—42no—
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
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299#66993—24no—
300#66993—24no—
301#66992—24no—
302#66992—24no—
303#66992—24no—
304#66992—24no—
305#66992—24no—
306#66992—24no—
307#66992—42no—
308#66992—42no—
309#66991—42no—
310#66991—42no—
311#66990—24no—
312#66990—24no—
313#66990—24no—
314#66988—24no—
315#66988—24no—
316#66988—42no—
317#66982—24no—
318#66982—24no—
319C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339C2×C4⋊Dic11C2311yescharacteristic
340C2×C4⋊Dic11C2311yescharacteristic
341C2×C4⋊Dic11C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×Dic11⋊C4C2311yescharacteristic
351C2×Dic11⋊C4C2311yescharacteristic
352C2×Dic11⋊C4C2311yescharacteristic
353C2×Dic11⋊C4C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355C2×C4×Dic11C2311yescharacteristic
356#66939—42no—
357#66938—24no—
358#66938—24no—
359#66937—24no—
360#66937—24no—
361#66937—42no—
362#66937—42no—
363#66935—24no—
364#66930—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#36737—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11—41no—
406C24×C11—41no—
407C24×C11—41no—
408C24×C11—41no—
409C24×C11—41no—
410C24×C11—41no—
411C24×C11C2×D414yes—
412C24×C11C2411yescharacteristic
413C24×C11C2411yescharacteristic
414C24×C11C2411yescharacteristic
415C24×C11C2411yescharacteristic
416C24×C11C2411yescharacteristic
417C24×C11C2411yescharacteristic
418C23×D11—22no—
419C23×D11—22no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11—41no—
424C23×D11C2×D414yes—
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C23×D11C2411yescharacteristic
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11—22no—
439C2×D4×C11—22no—
440C2×D4×C11—22no—
441C2×D4×C11—22no—
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—
451C2×D4×C11—41no—
452C2×D4×C11—41no—
453C2×D4×C11—41no—
454C2×D4×C11—41no—
455C2×D4×C11—416no—
456C22×C4×C11—22no—
457C22×C4×C11—22no—
458C22×C4×C11—22no—
459C22×C4×C11—22no—
460C22×C4×C11—41no—
461C22×C4×C11—41no—
462C22×C4×C11—41no—
463C22×C4×C11—41no—
464C22×C4×C11—41no—
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2411yescharacteristic
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—416no—
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—
515C2×C22⋊D11—41no—
516C2×C22⋊D11—41no—
517C2×C22⋊D11—41no—
518C2×C22⋊D11—41no—
519C2×C22⋊D11C2×D414yes—
520C2×C22⋊D11C2×D414yes—
521C2×C22⋊D11C2×D414yes—
522C2×C22⋊D11C2×D414yes—
523C22×Dic11—22no—
524C22×Dic11—22no—
525C22×Dic11—22no—
526C22×Dic11—22no—
527C22×Dic11—22no—
528C22×Dic11—22no—
529C22×Dic11—22no—
530C22×Dic11—22no—
531C22×Dic11—41no—
532C22×Dic11—41no—
533C22×Dic11—41no—
534C22×Dic11—41no—
535C22×Dic11—41no—
536C22×Dic11—41no—
537C22×Dic11—41no—
538C22×Dic11—41no—
539C22×Dic11—41no—
540C22×Dic11C2×D414yes—
541C22×Dic11C2411yescharacteristic
542C22×Dic11C2411yescharacteristic
543C22×Dic11C2411yescharacteristic
544C22×Dic11C2411yescharacteristic
545C22×Dic11C2411yescharacteristic
546C22×Dic11C2411yescharacteristic
547C22×Dic11C2411yescharacteristic
548C22×Dic11C2411yescharacteristic
549C22×Dic11C2411yescharacteristic
550C22×Dic11C2411yescharacteristic
551C22×Dic11C2411yescharacteristic
552C22×Dic11C2411yescharacteristic
553C22×Dic11C2411yescharacteristic
554#4341—416no—
555C2×D44—22no—
556C2×D44—22no—
557C2×D44—41no—
558C2×D44—41no—
559C2×D44—41no—
560C2×D44—41no—
561C2×C4×D11—22no—
562C2×C4×D11—22no—
563C2×C4×D11—22no—
564C2×C4×D11—22no—
565C2×C4×D11—22no—
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—41no—
573C2×C4×D11—41no—
574C2×C4×D11—41no—
575C2×C4×D11—41no—
576C2×C4×D11—416no—
577C2×Dic22—22no—
578C2×Dic22—41no—
579C2×Dic22—41no—
580C11×C4⋊C4—41no—
581C11×C4⋊C4—41no—
582C11×C22⋊C4—22no—
583C11×C22⋊C4—22no—
584C11×C22⋊C4—22no—
585C11×C22⋊C4—22no—
586C11×C22⋊C4—22no—
587C11×C22⋊C4—22no—
588C11×C22⋊C4—41no—
589C11×C22⋊C4—41no—
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—
597C22⋊Dic11—22no—
598C22⋊Dic11—22no—
599C22⋊Dic11—22no—
600C22⋊Dic11—22no—
601C22⋊Dic11—22no—
602C22⋊Dic11—22no—
603C22⋊Dic11—22no—
604C22⋊Dic11—22no—
605C22⋊Dic11—22no—
606C22⋊Dic11—22no—
607C22⋊Dic11—22no—
608C22⋊Dic11—22no—
609C22⋊Dic11—22no—
610C22⋊Dic11—22no—
611C22⋊Dic11—22no—
612C22⋊Dic11—41no—
613C22⋊Dic11—41no—
614C22⋊Dic11—41no—
615C22⋊Dic11—41no—
616C22⋊Dic11—41no—
617C22⋊Dic11—41no—
618C22⋊Dic11—41no—
619C22⋊Dic11—41no—
620C22⋊Dic11—41no—
621C22⋊Dic11—41no—
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—22no—
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—
640C4⋊Dic11—22no—
641C4⋊Dic11—41no—
642C4⋊Dic11—41no—
643C4⋊Dic11—41no—
644Dic11⋊C4—22no—
645Dic11⋊C4—22no—
646Dic11⋊C4—22no—
647Dic11⋊C4—22no—
648Dic11⋊C4—22no—
649Dic11⋊C4—22no—
650Dic11⋊C4—22no—
651Dic11⋊C4—41no—
652Dic11⋊C4—41no—
653Dic11⋊C4—41no—
654Dic11⋊C4—41no—
655Dic11⋊C4—41no—
656C4×Dic11—22no—
657C4×Dic11—22no—
658C2×#535—111no—
659C2×#534—111no—
660#2847—111no—
661#2847—111no—
662#2717—111no—
663#2709—111no—
664#2708—111no—
665#2708—111no—
666#2688—111no—
667#2688—111no—
668#2686—111no—
669#2686—111no—
670#2684—111no—
671#2673—111no—
672#2673—111no—
673#2671—111no—
674#2671—111no—
675#2669—111no—
676#2668—111no—
677#2668—111no—
678#2617—111no—
679#2617—111no—
680#2498—111no—
681#2498—111no—
682#2430—111no—
683#2430—111no—
684#2412—111no—
685#2412—111no—
686#2410—111no—
687#2410D1111yescharacteristic, complemented
688C2×#386—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—28no—
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×C11—21no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11—44no—
728C23×C11—44no—
729C23×C11—44no—
730C23×C11—82no—
731C23×C11—82no—
732C23×C11—82no—
733C23×C11—82no—
734C23×C11—82no—
735C23×C11—82no—
736C23×C11—82no—
737C23×C11—82no—
738C23×C11—82no—
739C23×C11—82no—
740C23×C11C22×D412yes—
741C23×C11C22×D412yes—
742C23×C11C22×D412yes—
743C23×C11H(5,𝔽2)12yes—
744C23×C11H(5,𝔽2)12yes—
745C23×C11C2511yescharacteristic
746C22×D11—28no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—21no—
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—21no—
756C22×D11—21no—
757C22×D11—21no—
758C22×D11—21no—
759C22×D11—21no—
760C22×D11—21no—
761C22×D11—21no—
762C22×D11—21no—
763C22×D11—21no—
764C22×D11—21no—
765C22×D11—21no—
766C22×D11—44no—
767C22×D11—44no—
768C22×D11—44no—
769C22×D11—44no—
770C22×D11—44no—
771C22×D11—44no—
772C22×D11C22×D412yes—
773C22×D11C22×D412yes—
774D4×C11—44no—
775D4×C11—44no—
776D4×C11—44no—
777D4×C11—44no—
778D4×C11—44no—
779D4×C11—82no—
780D4×C11—82no—
781D4×C11—82no—
782D4×C11—82no—
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—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—44no—
810C2×C4×C11—44no—
811C2×C4×C11—82no—
812C2×C4×C11H(5,𝔽2)12yes—
813C22⋊D11—44no—
814C22⋊D11—44no—
815C22⋊D11—44no—
816C22⋊D11—44no—
817C22⋊D11—44no—
818C22⋊D11—44no—
819C22⋊D11—82no—
820C22⋊D11—82no—
821C22⋊D11—82no—
822C22⋊D11—82no—
823C22⋊D11—82no—
824C22⋊D11—82no—
825C22⋊D11—82no—
826C22⋊D11—82no—
827C22⋊D11—82no—
828C22⋊D11—82no—
829C2×Dic11—28no—
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—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11—21no—
866C2×Dic11—44no—
867C2×Dic11—44no—
868C2×Dic11—82no—
869C2×Dic11—82no—
870C2×Dic11—82no—
871C2×Dic11C22×D412yes—
872C2×Dic11C22×D412yes—
873C2×Dic11H(5,𝔽2)12yes—
874D44—82no—
875D44—82no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879C4×D11—44no—
880C4×D11—44no—
881Dic22—44no—
882C22×#41—111no—
883C23×D4—111no—
884C23×D4C2×D1111yescharacteristic
885C24×C4—111no—
886#535—228no—
887#534—228no—
888C2×#127—111no—
889C2×#127—111no—
890C2×#124—111no—
891C2×#124—111no—
892C2×#123—111no—
893C2×#123—111no—
894C2×#123—111no—
895C2×#123—111no—
896C2×#123—111no—
897C2×#123—111no—
898C2×#121—111no—
899C2×#121—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×#121—111no—
911C2×#121—111no—
912C2×#121C2×D1111yescharacteristic
913C2×#121C2×D1111yescharacteristic
914C2×#120—111no—
915C2×#120—111no—
916C2×#120—111no—
917C2×#120—111no—
918C2×#120—111no—
919C2×#120—111no—
920C2×#120—111no—
921C2×#120—111no—
922C2×#120C2×D1111yescharacteristic
923C2×#120C2×D1111yescharacteristic, complemented
924C2×#117—111no—
925C22×C22⋊C4—111no—
926C22×C22⋊C4—111no—
927C22×C22⋊C4—111no—
928C22×C22⋊C4C2×D1111yescharacteristic
929#400—111no—
930#400—111no—
931#399—111no—
932#399—111no—
933#398—111no—
934#398—111no—
935#397—111no—
936#397—111no—
937#397—111no—
938#397—111no—
939#397—111no—
940#397—111no—
941#397—111no—
942#397—111no—
943#397—111no—
944#397—111no—
945#395—111no—
946#395—111no—
947#394—111no—
948#394—111no—
949#394—111no—
950#394—111no—
951#394—111no—
952#394—111no—
953#394—111no—
954#394—111no—
955#394—111no—
956#394—111no—
957#394—111no—
958#394—111no—
959#394—111no—
960#394—111no—
961#394—111no—
962#394—111no—
963#394C2×D1111yescharacteristic, complemented
964#394C2×D1111yescharacteristic, complemented
965#393—111no—
966#393—111no—
967#392—111no—
968#392—111no—
969#392—111no—
970#392—111no—
971#392—111no—
972#392—111no—
973#392—111no—
974#392—111no—
975#392C2×D1111yescharacteristic, complemented
976#392C2×D1111yescharacteristic, complemented
977#388—111no—
978#388—111no—
979#388—111no—
980#388—111no—
981#387—111no—
982#387—111no—
983#387—111no—
984#387—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386—111no—
990#386—111no—
991#386—111no—
992#386—111no—
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#386C2×D1111yescharacteristic
1015#386C2×D1111yescharacteristic
1016#386C2×D1111yescharacteristic, complemented
1017#385—111no—
1018#385—111no—
1019#385—111no—
1020#385—111no—
1021#385—111no—
1022#385—111no—
1023#385—111no—
1024#385C2×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—
1033#380—111no—
1034#380—111no—
1035#379—111no—
1036#379C2×D1111yescharacteristic, complemented
1037C2×#95—111no—
1038C2×#95—111no—
1039C22×C11—22no—
1040C22×C11—22no—
1041C22×C11—22no—
1042C22×C11—22no—
1043C22×C11—22no—
1044C22×C11—22no—
1045C22×C11—22no—
1046C22×C11—22no—
1047C22×C11—22no—
1048C22×C11—22no—
1049C22×C11—22no—
1050C22×C11—22no—
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×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—88no—
1081C22×C11—88no—
1082C22×C11#53414yes—
1083C22×C11C23×D411yescharacteristic
1084C22×C11C2×H(5,𝔽2)11yescharacteristic
1085C22×C11C2×H(5,𝔽2)11yescharacteristic
1086C22×C11C2×H(5,𝔽2)11yescharacteristic
1087C22×C11C2×H(5,𝔽2)11yescharacteristic
1088C22×C11#58511yescharacteristic
1089C22×C11#58511yescharacteristic
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—22no—
1093C2×D11—22no—
1094C2×D11—22no—
1095C2×D11—22no—
1096C2×D11—416no—
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—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C4×C11—22no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11—41no—
1121Dic11—22no—
1122Dic11—22no—
1123Dic11—22no—
1124Dic11—41no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132Dic11—41no—
1133Dic11—41no—
1134C25—111no—
1135C25C22×D1111yescharacteristic
1136C25C22×D1111yescharacteristic
1137C2×#41—224no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C22×Q8—111no—
1141C22×D4—24no—
1142C22×D4—42no—
1143C22×D4—42no—
1144C22×D4—118no—
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—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—442no—
1164C22×D4—442no—
1165C22×D4C22×D1111yescharacteristic
1166C22×D4C22×D1111yescharacteristic
1167C22×D4C22×D1111yescharacteristic
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C22×D4C22×D1111yescharacteristic
1171C22×D4C22×D1111yescharacteristic
1172C22×D4C22×D1111yescharacteristic
1173C22×D4C22×D1111yescharacteristic
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—111no—
1184C23×C4—111no—
1185C23×C4—442no—
1186C23×C4—442no—
1187C23×C4—442no—
1188C23×C4C22×D1111yescharacteristic
1189C23×C4C22×D1111yescharacteristic
1190C23×C4C22×D1111yescharacteristic
1191#127—224no—
1192#127—224no—
1193#124—224no—
1194#124—224no—
1195#123—224no—
1196#123—224no—
1197#123—224no—
1198#123—224no—
1199#123—442no—
1200#123—442no—
1201#121—42no—
1202#121—42no—
1203#121—224no—
1204#121—224no—
1205#121—224no—
1206#121—224no—
1207#121—224no—
1208#121—224no—
1209#121—224no—
1210#121—224no—
1211#121—442no—
1212#121—442no—
1213#121—442no—
1214#121—442no—
1215#121—442no—
1216#121—442no—
1217#120—24no—
1218#120—42no—
1219#120—224no—
1220#120—224no—
1221#120—224no—
1222#120—224no—
1223#120—224no—
1224#120—224no—
1225#120—224no—
1226#120—442no—
1227#117—224no—
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—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—111no—
1243C2×C4⋊C4—111no—
1244C2×C4⋊C4C22×D1111yescharacteristic
1245C2×C4⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4—42no—
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—111no—
1286C2×C22⋊C4—111no—
1287C2×C22⋊C4—111no—
1288C2×C22⋊C4—111no—
1289C2×C22⋊C4—111no—
1290C2×C22⋊C4—224no—
1291C2×C22⋊C4—442no—
1292C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1302C2×C22⋊C4C22×D1111yescharacteristic
1303C2×C22⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4C22×D1111yescharacteristic
1305C2×C22⋊C4C22×D1111yescharacteristic
1306C2×C22⋊C4C22×D1111yescharacteristic
1307C2×C22⋊C4C22×D1111yescharacteristic
1308C2×C42—111no—
1309C2×C42—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#95—111no—
1332#95—111no—
1333#95—111no—
1334#95—111no—
1335#95—111no—
1336#95—111no—
1337#95—111no—
1338#95C22×D1111yescharacteristic
1339#95C22×D1111yescharacteristic
1340#95C22×D1111yescharacteristic
1341#95C22×D1111yescharacteristic
1342C2×C11—24no—
1343C2×C11—42no—
1344C2×C11—42no—
1345C2×C11—81no—
1346C2×C11—81no—
1347C2×C11—81no—
1348C2×C11C2×#53411yescharacteristic
1349C2×C11#349611yescharacteristic
1350C2×C11#349611yescharacteristic
1351C2×C11#353211yescharacteristic
1352C2×C11#353311yescharacteristic
1353C2×C11#354211yescharacteristic
1354C2×C11#354211yescharacteristic
1355D11—42no—
1356D11—42no—
1357D11—81no—
1358C24—22no—
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—41no—
1369C24—41no—
1370C24—41no—
1371C24—111no—
1372C24—111no—
1373C24—114no—
1374C24—111no—
1375C24—222no—
1376C24—222no—
1377C24—441no—
1378C24—441no—
1379C24—441no—
1380C24—441no—
1381C24D4×D1114yes—
1382C24C23×D1111yescharacteristic
1383C24C23×D1111yescharacteristic
1384C24C23×D1111yescharacteristic
1385C24C23×D1111yescharacteristic
1386C24C23×D1111yescharacteristic
1387C24C23×D1111yescharacteristic
1388#41—4416no—
1389C2×Q8—222no—
1390C2×Q8—441no—
1391C2×Q8—441no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
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—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—416no—
1420C2×D4—114no—
1421C2×D4—114no—
1422C2×D4—114no—
1423C2×D4—114no—
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—441no—
1440C2×D4—441no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—4416no—
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—441no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—114no—
1485C22×C4—111no—
1486C22×C4—111no—
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—111no—
1497C22×C4—111no—
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—222no—
1510C22×C4—222no—
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×C4—441no—
1528C22×C4—441no—
1529C22×C4—441no—
1530C22×C4—441no—
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C4⋊C4—41no—
1541C4⋊C4—41no—
1542C4⋊C4—222no—
1543C4⋊C4—222no—
1544C4⋊C4—222no—
1545C4⋊C4—222no—
1546C4⋊C4—222no—
1547C4⋊C4—222no—
1548C4⋊C4—222no—
1549C4⋊C4—222no—
1550C4⋊C4—441no—
1551C4⋊C4—441no—
1552C4⋊C4—441no—
1553C4⋊C4—441no—
1554C4⋊C4—441no—
1555C4⋊C4—441no—
1556C4⋊C4—441no—
1557C4⋊C4—441no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
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—222no—
1586C22⋊C4—222no—
1587C22⋊C4—222no—
1588C22⋊C4—222no—
1589C22⋊C4—222no—
1590C22⋊C4—222no—
1591C22⋊C4—222no—
1592C22⋊C4—222no—
1593C22⋊C4—222no—
1594C22⋊C4—222no—
1595C22⋊C4—222no—
1596C22⋊C4—222no—
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—
1609C22⋊C4—441no—
1610C22⋊C4—441no—
1611C22⋊C4—441no—
1612C22⋊C4—441no—
1613C22⋊C4—441no—
1614C22⋊C4—441no—
1615C22⋊C4—441no—
1616C42—222no—
1617C42—222no—
1618C11#3673711yescharacteristic, complemented, Sylow
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—28no—
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—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—82no—
1668C23—82no—
1669C23—82no—
1670C23—112no—
1671C23—112no—
1672C23—228no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—221no—
1678C23—221no—
1679C23—221no—
1680C23—221no—
1681C23—221no—
1682C23—221no—
1683C23—221no—
1684C23—221no—
1685C23—221no—
1686C23—221no—
1687C23—221no—
1688C23—221no—
1689C23—221no—
1690C23—221no—
1691C23—221no—
1692C23—444no—
1693C23—444no—
1694C23—444no—
1695C23—444no—
1696C23—444no—
1697C23—444no—
1698C23C2×D4×D1112yes—
1699C23C2×D4×D1112yes—
1700C23C2×D4×D1112yes—
1701C23#6703712yes—
1702C23#6703712yes—
1703C23C24×D1111yescharacteristic
1704Q8—444no—
1705D4—44no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—82no—
1711D4—82no—
1712D4—82no—
1713D4—82no—
1714D4—444no—
1715D4—444no—
1716D4—444no—
1717D4—444no—
1718D4—444no—
1719D4—444no—
1720D4—882no—
1721D4—882no—
1722D4—882no—
1723D4—882no—
1724D4—882no—
1725D4—882no—
1726D4—882no—
1727D4—882no—
1728D4—882no—
1729D4—882no—
1730D4—882no—
1731D4—882no—
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—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—82no—
1761C2×C4—112no—
1762C2×C4—112no—
1763C2×C4—112no—
1764C2×C4—228no—
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—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—444no—
1802C2×C4—444no—
1803C2×C4—444no—
1804C2×C4—444no—
1805C2×C4—444no—
1806C2×C4—444no—
1807C2×C4—444no—
1808C2×C4—882no—
1809C2×C4—882no—
1810C2×C4—882no—
1811C2×C4#6703712yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
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—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—88no—
1854C22—88no—
1855C22—222no—
1856C22—222no—
1857C22—222no—
1858C22—222no—
1859C22—222no—
1860C22—222no—
1861C22—4416no—
1862C22—441no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—441no—
1877C22#1062312014yes—
1878C22C22×D4×D1111yescharacteristic
1879C22C2×#6703711yescharacteristic
1880C22C2×#6703711yescharacteristic
1881C22C2×#6703711yescharacteristic
1882C22#1062345311yescharacteristic
1883C22D11×H(5,𝔽2)11yescharacteristic
1884C22#1062345511yescharacteristic
1885C4—22no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—222no—
1895C4—222no—
1896C4—222no—
1897C4—441no—
1898C4—441no—
1899C4—441no—
1900C4—441no—
1901C4—441no—
1902C4—441no—
1903C4—441no—
1904C4—441no—
1905C4—441no—
1906C4—441no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—81no—
1913C2—442no—
1914C2—442no—
1915C2—881no—
1916C2C2×#1062312011yescharacteristic
1917C2#1308237311yescharacteristic
1918C2#1308237711yescharacteristic
1919C2#1308276611yescharacteristic
1920C2#1308277511yescharacteristic
1921C2#1308291711yescharacteristic
1922C2#1308293711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2410C2
hypercenter#2410D11
hypocenterC11#36737
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#10623123C2semidirect
2. C2×#10623335C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075455C2semidirect
6. #13075347C2semidirect
7. #13075338C2semidirect
8. #13075334C2semidirect
9. #13075058C2semidirect
10. #13075054C2semidirect
11. #13075028C2semidirect
12. #13075024C2semidirect
13. #13074996C2semidirect
14. #13074888C2semidirect
15. #13074884C2semidirect
16. #13074858C2semidirect
17. #13074854C2semidirect
18. #13074830C2semidirect
19. #13074824C2semidirect
20. #13074820C2semidirect
21. #13074356C2semidirect
22. #13074352C2semidirect
23. #13073058C2semidirect
24. #13073058C2semidirect
25. #13072222C2semidirect
26. #13072222C2semidirect
27. #13072013C2semidirect
28. #13072006C2semidirect
29. #13071990C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2410C2semidirect
34. C22×#4341C22semidirect
35. C23×C4×D11C22semidirect
39. C2×C11×#120C22semidirect
44. C2×#67006C22semidirect
49. C2×#66993C22semidirect
57. C2×#66992C22semidirect
58. C2×#66991C22semidirect
59. C2×#66991C22semidirect
62. C2×#66990C22semidirect
65. C2×#66988C22semidirect
68. C22×(C2×D11)⋊C4C22semidirect
70. C2×#66939C22semidirect
72. C2×#66938C22semidirect
74. C2×#66937C22semidirect
75. C2×#66937C22semidirect
76. C2×#66937C22semidirect
77. C2×#66935C22semidirect
78. C2×#66930C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
81. C11×#392C22semidirect
82. C11×#392C22semidirect
85. C11×#386C22semidirect
86. C11×#385C22semidirect
87. C11×#379C22semidirect
88. #10622860C22semidirect
89. #10622836C22semidirect
90. #10622836C22semidirect
91. #10622836C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
94. #10622836C22semidirect
95. #10622835C22semidirect
96. #10622835C22semidirect
97. #10622835C22semidirect
98. #10622835C22semidirect
101. #10622833C22semidirect
102. #10622833C22semidirect
103. #10622833C22semidirect
104. #10622833C22semidirect
105. #10622833C22semidirect
106. #10622826C22semidirect
107. #10622826C22semidirect
108. #10622826C22semidirect
109. #10622825C22semidirect
110. #10622825C22semidirect
111. #10622823C22semidirect
112. C2×C11⋊#95C22semidirect
113. C2×C11⋊#95C22semidirect
114. #10622606C22semidirect
115. #10622606C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
118. #10622600C22semidirect
119. #10622600C22semidirect
120. #10622592C22semidirect
121. #10622592C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
125. #10622574C22semidirect
126. #10622574C22semidirect
127. #10622574C22semidirect
128. #10622573C22semidirect
129. #10622573C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
134. #10622571C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
141. #10622569C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
146. #10622569C22semidirect
147. #10622569C22semidirect
148. #10622569C22semidirect
149. #10622569C22semidirect
150. #10622569C22semidirect
151. #10622566C22semidirect
152. #10622566C22semidirect
153. #10622565C22semidirect
154. #10622565C22semidirect
155. #10622565C22semidirect
156. #10622565C22semidirect
157. #10622564C22semidirect
158. #10622564C22semidirect
159. #10622563C22semidirect
160. #10622562C22semidirect
161. #10622562C22semidirect
162. #10622560C22semidirect
163. #10622560C22semidirect
164. #10622559C22semidirect
165. #10622559C22semidirect
166. #10622559C22semidirect
167. #10622558C22semidirect
168. #10622558C22semidirect
169. #10622556C22semidirect
170. #10622556C22semidirect
171. #10622555C22semidirect
172. #10622555C22semidirect
173. #10622288C22semidirect
174. #10622288C22semidirect
175. #10622285C22semidirect
176. #10622285C22semidirect
177. #10622280C22semidirect
178. #10622280C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622271C22semidirect
182. #10622271C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622267C22semidirect
186. #10622267C22semidirect
187. #10622265C22semidirect
188. #10622265C22semidirect
209. C22×C22⋊D11D4semidirect
687. #2410D11semidirect
923. C2×#120C2×D11semidirect
963. #394C2×D11semidirect
964. #394C2×D11semidirect
975. #392C2×D11semidirect
976. #392C2×D11semidirect
1016. #386C2×D11semidirect
1024. #385C2×D11semidirect
1036. #379C2×D11semidirect
1618. C11#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#106231232
C2×#106233352
#130768972
#130768952
#130754552
#130753472
#130753382
#130753342
#130750582
#130750542
#130750282
#130750242
#130749962
#130748882
#130748842
#130748582
#130748542
#130748302
#130748242
#130748202
#130743562
#130743522
#130730582
#130722222
#130720132
#130720062
#130719902
C2×#106225692
C11×#24102
#3673711