Finite Group Databasebeta

← #14961273

Subgroups — #14961273

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623250C211yesmaximal, characteristic, complemented
2C2×#10623148C211yesmaximal, characteristic, complemented
3#13076959C211yesmaximal, characteristic, complemented
4#13076944C211yesmaximal, characteristic, complemented
5#13075512C211yesmaximal, characteristic, complemented
6#13075417C211yesmaximal, characteristic, complemented
7#13075139C211yesmaximal, characteristic, complemented
8#13074972C211yesmaximal, characteristic, complemented
9#13074953C211yesmaximal, characteristic, complemented
10#13074943C211yesmaximal, characteristic, complemented
11#13074918C211yesmaximal, characteristic, complemented
12#13074905C211yesmaximal, characteristic, complemented
13#13074888C211yesmaximal, characteristic, complemented
14#13074869C211yesmaximal, characteristic, complemented
15#13074848C211yesmaximal, characteristic, complemented
16#13074846C211yesmaximal, characteristic, complemented
17#13074829C211yesmaximal, characteristic, complemented
18#13074827C211yesmaximal, characteristic, complemented
19#13074822C211yesmaximal, characteristic, complemented
20#13074743C211yesmaximal, characteristic, complemented
21#13074741C211yesmaximal, characteristic, complemented
22#13074301C211yesmaximal, characteristic, complemented
23#13074238C211yesmaximal, characteristic, complemented
24#13074221C211yesmaximal, characteristic, complemented
25#13074211C211yesmaximal, characteristic, complemented
26#13073549C211yesmaximal, characteristic, complemented
27#13073546C211yesmaximal, characteristic, complemented
28#13072027C211yesmaximal, characteristic, complemented
29#13072004C211yesmaximal, characteristic, complemented
30#13071056C211yesmaximal, characteristic, complemented
31C11×#2673C211yesmaximal, characteristic, complemented
32C2×C11×#127C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic, complemented
36C2×#66993C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic, complemented
46C2×#66992C2211yescharacteristic, complemented
47C2×#66992C2211yescharacteristic, complemented
48C2×#66992C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic
50C2×#66991C2211yescharacteristic, complemented
51C2×#66990C2211yescharacteristic
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66990C2211yescharacteristic
55C2×#66988C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66988C2211yescharacteristic, complemented
58C2×#66988C2211yescharacteristic, complemented
59C2×D4×Dic11C2211yescharacteristic
60C2×D4×Dic11C2211yescharacteristic
61C2×D4×Dic11C2211yescharacteristic, complemented
62C2×#66983C2211yescharacteristic
63C2×#66982C2211yescharacteristic
64C22×(C2×D11)⋊C4C2211yescharacteristic
65C2×#66977C2211yescharacteristic
66C22×C4×Dic11C2211yescharacteristic, complemented
67#10623250—28no—
68#10623148—28no—
69C2×#66951C2211yescharacteristic
70C2×#66951C2211yescharacteristic
71C2×#66939C2211yescharacteristic
72C2×#66939C2211yescharacteristic
73C2×#66938C2211yescharacteristic
74C2×#66938C2211yescharacteristic
75C2×#66935C2211yescharacteristic
76C2×#66931C2211yescharacteristic, complemented
77C2×#66931C2211yescharacteristic, complemented
78C2×#66930C2211yescharacteristic
79C2×#66925C2211yescharacteristic, complemented
80C2×#66923C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#392C2211yescharacteristic, complemented
86C11×#392C2211yescharacteristic, complemented
87C11×#388C2211yescharacteristic, complemented
88C11×#387C2211yescharacteristic, complemented
89C11×#386C2211yescharacteristic
90C11×#386C2211yescharacteristic
91C11×#386C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622835C2211yescharacteristic
99#10622835C2211yescharacteristic
100#10622835C2211yescharacteristic
101#10622835C2211yescharacteristic, complemented
102#10622834C2211yescharacteristic, complemented
103#10622834C2211yescharacteristic, complemented
104#10622833C2211yescharacteristic
105#10622833C2211yescharacteristic, complemented
106#10622826C2211yescharacteristic
107#10622823C2211yescharacteristic
108#10622823C2211yescharacteristic, complemented
109#10622605C2211yescharacteristic
110#10622605C2211yescharacteristic
111#10622602C2211yescharacteristic, complemented
112#10622601C2211yescharacteristic
113#10622601C2211yescharacteristic
114#10622597C2211yescharacteristic, complemented
115#10622596C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622589C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic
130#10622572C2211yescharacteristic
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic, complemented
142#10622570C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622568C2211yescharacteristic
145#10622566C2211yescharacteristic
146#10622565C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622564C2211yescharacteristic, complemented
149#10622564C2211yescharacteristic, complemented
150#10622562C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622559C2211yescharacteristic, complemented
153#10622559C2211yescharacteristic, complemented
154#10622559C2211yescharacteristic, complemented
155#10622558C2211yescharacteristic
156#10622558C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic
158#10622557C2211yescharacteristic, complemented
159#10622555C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic, complemented
163#10622553C2211yescharacteristic
164#10622553C2211yescharacteristic
165#10622290C2211yescharacteristic
166#10622289C2211yescharacteristic
167#10622289C2211yescharacteristic
168#10622289C2211yescharacteristic
169#10622289C2211yescharacteristic, complemented
170#10622288C2211yescharacteristic
171#10622287C2211yescharacteristic
172#10622286C2211yescharacteristic, complemented
173#10622285C2211yescharacteristic
174#10622283C2211yescharacteristic, complemented
175#10622282C2211yescharacteristic
176#10622282C2211yescharacteristic
177#10622282C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622270C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
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
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#127—24no—
226C11×#123—42no—
227C11×#121—24no—
228C11×#121—42no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266#66993—42no—
267#66992—24no—
268#66992—24no—
269#66992—24no—
270#66992—24no—
271#66992—24no—
272#66992—24no—
273#66992—42no—
274#66992—42no—
275#66992—42no—
276#66992—42no—
277#66992—42no—
278#66992—42no—
279#66991—24no—
280#66991—24no—
281#66990—24no—
282#66990—24no—
283#66990—42no—
284#66990—42no—
285#66988—24no—
286#66988—24no—
287#66988—24no—
288#66988—24no—
289D4×Dic11—24no—
290D4×Dic11—24no—
291D4×Dic11D418yescomplemented
292#66983—42no—
293#66982—42no—
294C2×(C2×D11)⋊C4—24no—
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326#66977—24no—
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×C4×Dic11—42no—
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355#66951—24no—
356#66951—24no—
357#66939—24no—
358#66939—24no—
359#66938—24no—
360#66938—24no—
361#66935—42no—
362#66931—42no—
363#66931—42no—
364#66930—42no—
365#66925—24no—
366#66923—24no—
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11×#95C2311yescharacteristic
372C11×#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36744—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11C2×D414yes—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11—41no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11C2×D414yes—
509C22×Dic11C2×D414yes—
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C2×D44—22no—
524C2×D44—41no—
525C2×D44—41no—
526C2×D44—41no—
527C2×D44—41no—
528C2×D44—41no—
529C2×C4×D11—22no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×Dic22—22no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—41no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C42×C11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11C2×D414yes—
571C22⋊Dic11C2×D414yes—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—41no—
602C4⋊Dic11C2×D414yes—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622C4×Dic11—22no—
623C4×Dic11—22no—
624C4×Dic11—22no—
625C4×Dic11—41no—
626C4×Dic11—41no—
627C4×Dic11—41no—
628C4×Dic11—41no—
629C4×Dic11C2×D414yes—
630C2×#540—111no—
631C2×#538—111no—
632#2856—111no—
633#2854—111no—
634#2721—111no—
635#2714—111no—
636#2694—111no—
637#2681—111no—
638#2680—111no—
639#2678—111no—
640#2676—111no—
641#2675—111no—
642#2673—111no—
643#2673D1111yescharacteristic, complemented
644#2672—111no—
645#2671—111no—
646#2671—111no—
647#2669—111no—
648#2669—111no—
649#2668—111no—
650#2661—111no—
651#2661—111no—
652#2610—111no—
653#2603—111no—
654#2602—111no—
655#2601—111no—
656#2540—111no—
657#2539—111no—
658#2414—111no—
659#2411—111no—
660#2290—111no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11C22×D412yes—
695C23×C11C22×D412yes—
696C23×C11C2511yescharacteristic
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—44no—
719C22×D11—82no—
720C22×D11—82no—
721C22×D11—82no—
722C22×D11—82no—
723C22×D11—82no—
724C22×D11—82no—
725D4×C11—44no—
726D4×C11—44no—
727D4×C11—44no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733D4×C11—82no—
734D4×C11—82no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—44no—
764C2×C4×C11—82no—
765C2×C4×C11C22×D412yes—
766C2×C4×C11H(5,𝔽2)12yes—
767C22⋊D11—82no—
768C22⋊D11—82no—
769C22⋊D11—82no—
770C22⋊D11—82no—
771C22⋊D11—82no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—44no—
814C2×Dic11—44no—
815C2×Dic11—44no—
816C2×Dic11—82no—
817C2×Dic11—82no—
818C2×Dic11—82no—
819C2×Dic11C22×D412yes—
820C2×Dic11C22×D412yes—
821C2×Dic11C22×D412yes—
822C2×Dic11C22×D412yes—
823C2×Dic11H(5,𝔽2)12yes—
824C2×Dic11H(5,𝔽2)12yes—
825D44—82no—
826D44—82no—
827C4×D11—44no—
828Dic22—82no—
829#540—228no—
830#538—228no—
831C2×#127—111no—
832C2×#127C2×D1111yescharacteristic
833C2×#126—111no—
834C2×#126—111no—
835C2×#125—111no—
836C2×#124—111no—
837C2×#124—111no—
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123—111no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123C2×D1111yescharacteristic
846C2×C22⋊Q8—111no—
847C2×C22⋊Q8—111no—
848C2×C22⋊Q8—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121C2×D1111yescharacteristic
865C2×#121C2×D1111yescharacteristic, complemented
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×C4×D4—111no—
872C2×C4×D4—111no—
873C2×C4×D4—111no—
874C2×#117—111no—
875C2×#117—111no—
876C22×C22⋊C4—111no—
877C22×C42—111no—
878#399—111no—
879#399—111no—
880#399—111no—
881#399—111no—
882#398—111no—
883#398—111no—
884#398—111no—
885#398—111no—
886#397—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#395—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394C2×D1111yescharacteristic, complemented
909#394C2×D1111yescharacteristic, complemented
910#393—111no—
911#392—111no—
912#392—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392C2×D1111yescharacteristic
923#392C2×D1111yescharacteristic
924#392C2×D1111yescharacteristic, complemented
925#392C2×D1111yescharacteristic, complemented
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#389—111no—
940#389—111no—
941#389—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388C2×D1111yescharacteristic, complemented
956#387—111no—
957#387—111no—
958#387—111no—
959#387C2×D1111yescharacteristic, complemented
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386C2×D1111yescharacteristic
969#386C2×D1111yescharacteristic
970#386C2×D1111yescharacteristic, complemented
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#384—111no—
979#380—111no—
980#380—111no—
981#379—111no—
982C4×C4⋊C4—111no—
983C4×C22⋊C4—111no—
984C4×C22⋊C4—111no—
985#376—111no—
986C22×C11—22no—
987C22×C11—22no—
988C22×C11—22no—
989C22×C11—22no—
990C22×C11—22no—
991C22×C11—22no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11C23×D411yescharacteristic
1022C22×C11C2×H(5,𝔽2)11yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11#58511yescharacteristic
1026C22×C11#58511yescharacteristic
1027C22×C11#58511yescharacteristic
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—88no—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060Dic11—22no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—22no—
1064Dic11—22no—
1065Dic11—22no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073C25—111no—
1074C22×Q8—111no—
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—111no—
1083C22×D4—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4C22×D1111yescharacteristic
1091C22×D4C22×D1111yescharacteristic
1092C22×D4C22×D1111yescharacteristic
1093C22×D4C22×D1111yescharacteristic
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096C22×D4C22×D1111yescharacteristic
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—111no—
1105C23×C4—111no—
1106C23×C4—111no—
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#127—24no—
1110#127—442no—
1111#126—224no—
1112#126—224no—
1113#125—224no—
1114#124—224no—
1115#124—224no—
1116#123—42no—
1117#123—224no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—224no—
1122#123—224no—
1123#123—442no—
1124C22⋊Q8—224no—
1125C22⋊Q8—442no—
1126C22⋊Q8—442no—
1127#121—24no—
1128#121—42no—
1129#121—224no—
1130#121—224no—
1131#121—224no—
1132#121—224no—
1133#121—224no—
1134#121—224no—
1135#121—224no—
1136#121—224no—
1137#121—442no—
1138#121—442no—
1139#121—442no—
1140#121—442no—
1141#121—442no—
1142#121—442no—
1143#121—442no—
1144#120—224no—
1145#120—224no—
1146#120—442no—
1147#120—442no—
1148#120—442no—
1149C4×D4—118no—
1150C4×D4—224no—
1151C4×D4—224no—
1152#117—224no—
1153#117—442no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—224no—
1228C2×C22⋊C4C22×D1111yescharacteristic
1229C2×C22⋊C4C22×D1111yescharacteristic
1230C2×C22⋊C4C22×D1111yescharacteristic
1231C2×C22⋊C4C22×D1111yescharacteristic
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42—442no—
1250C2×C42C22×D1111yescharacteristic
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95C22×D1111yescharacteristic
1270#95C22×D1111yescharacteristic
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275C2×C11—42no—
1276C2×C11—42no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11—81no—
1280C2×C11#344911yescharacteristic
1281C2×C11#349611yescharacteristic
1282C2×C11#349811yescharacteristic
1283C2×C11#353411yescharacteristic
1284C2×C11#354211yescharacteristic
1285C2×C11#355111yescharacteristic
1286C2×C11#356211yescharacteristic
1287D11—81no—
1288D11—81no—
1289D11—81no—
1290C24—111no—
1291C24—111no—
1292C24—111no—
1293C24—222no—
1294C24—441no—
1295C24—441no—
1296C24—441no—
1297C24—441no—
1298C24—441no—
1299C24—441no—
1300C24C23×D1111yescharacteristic
1301C24C23×D1111yescharacteristic
1302C24C23×D1111yescharacteristic
1303C24C23×D1111yescharacteristic
1304C24C23×D1111yescharacteristic
1305C2×Q8—222no—
1306C2×Q8—441no—
1307C2×Q8—441no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4D4×D1114yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—114no—
1396C22×C4—114no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—441no—
1411C22×C4—441no—
1412C22×C4—441no—
1413C22×C4—441no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—114no—
1437C4⋊C4—222no—
1438C4⋊C4—222no—
1439C4⋊C4—222no—
1440C4⋊C4—222no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
1453C4⋊C4—441no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—114no—
1475C22⋊C4—114no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C42—22no—
1520C42—114no—
1521C42—222no—
1522C42—222no—
1523C42—222no—
1524C42—441no—
1525C42—441no—
1526C42—441no—
1527C42—441no—
1528C11#3674411yescharacteristic, complemented, Sylow
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—444no—
1584C23—882no—
1585C23—882no—
1586C23—882no—
1587C23—882no—
1588C23—882no—
1589C23—882no—
1590C23C2×D4×D1112yes—
1591C23C2×D4×D1112yes—
1592C23C24×D1111yescharacteristic
1593Q8—882no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—882no—
1605D4—882no—
1606D4—882no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—44no—
1648C2×C4—82no—
1649C2×C4—112no—
1650C2×C4—112no—
1651C2×C4—112no—
1652C2×C4—112no—
1653C2×C4—112no—
1654C2×C4—112no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—444no—
1689C2×C4—444no—
1690C2×C4—444no—
1691C2×C4—444no—
1692C2×C4—882no—
1693C2×C4—882no—
1694C2×C4—882no—
1695C2×C4C2×D4×D1112yes—
1696C2×C4#6703712yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—888no—
1754C22C22×D4×D1111yescharacteristic
1755C22C2×#6703711yescharacteristic
1756C22#1062345311yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22#1062345511yescharacteristic
1760C22#1062345511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—222no—
1772C4—222no—
1773C4—222no—
1774C4—222no—
1775C4—222no—
1776C4—222no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—881no—
1790C2—881no—
1791C2—881no—
1792C2#1308194211yescharacteristic
1793C2#1308237611yescharacteristic
1794C2#1308238811yescharacteristic
1795C2#1308279711yescharacteristic
1796C2#1308291911yescharacteristic
1797C2#1308303711yescharacteristic
1798C2#1308319011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2673C2
hypercenter#2673D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#10623250C2semidirect
2. C2×#10623148C2semidirect
3. #13076959C2semidirect
4. #13076944C2semidirect
5. #13075512C2semidirect
6. #13075417C2semidirect
7. #13075139C2semidirect
8. #13074972C2semidirect
9. #13074953C2semidirect
10. #13074943C2semidirect
11. #13074918C2semidirect
12. #13074905C2semidirect
13. #13074888C2semidirect
14. #13074869C2semidirect
15. #13074848C2semidirect
16. #13074846C2semidirect
17. #13074829C2semidirect
18. #13074827C2semidirect
19. #13074822C2semidirect
20. #13074743C2semidirect
21. #13074741C2semidirect
22. #13074301C2semidirect
23. #13074238C2semidirect
24. #13074221C2semidirect
25. #13074211C2semidirect
26. #13073549C2semidirect
27. #13073546C2semidirect
28. #13072027C2semidirect
29. #13072004C2semidirect
30. #13071056C2semidirect
31. C11×#2673C2semidirect
35. C2×C11×#121C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66992C22semidirect
48. C2×#66992C22semidirect
50. C2×#66991C22semidirect
57. C2×#66988C22semidirect
58. C2×#66988C22semidirect
61. C2×D4×Dic11C22semidirect
66. C22×C4×Dic11C22semidirect
76. C2×#66931C22semidirect
77. C2×#66931C22semidirect
79. C2×#66925C22semidirect
80. C2×#66923C22semidirect
81. C11×#394C22semidirect
82. C11×#394C22semidirect
85. C11×#392C22semidirect
86. C11×#392C22semidirect
87. C11×#388C22semidirect
88. C11×#387C22semidirect
91. C11×#386C22semidirect
101. #10622835C22semidirect
102. #10622834C22semidirect
103. #10622834C22semidirect
105. #10622833C22semidirect
108. #10622823C22semidirect
111. #10622602C22semidirect
114. #10622597C22semidirect
115. #10622596C22semidirect
116. #10622593C22semidirect
117. #10622592C22semidirect
118. #10622589C22semidirect
121. #10622574C22semidirect
131. #10622572C22semidirect
140. #10622570C22semidirect
141. #10622570C22semidirect
142. #10622570C22semidirect
143. #10622569C22semidirect
146. #10622565C22semidirect
147. #10622564C22semidirect
148. #10622564C22semidirect
149. #10622564C22semidirect
150. #10622562C22semidirect
151. #10622559C22semidirect
152. #10622559C22semidirect
153. #10622559C22semidirect
154. #10622559C22semidirect
156. #10622558C22semidirect
158. #10622557C22semidirect
159. #10622555C22semidirect
160. #10622555C22semidirect
162. C22⋊C4×Dic11C22semidirect
169. #10622289C22semidirect
172. #10622286C22semidirect
174. #10622283C22semidirect
180. #10622270C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622262C22semidirect
185. #10622261C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
291. D4×Dic11D4semidirect
643. #2673D11semidirect
865. C2×#121C2×D11semidirect
908. #394C2×D11semidirect
909. #394C2×D11semidirect
924. #392C2×D11semidirect
925. #392C2×D11semidirect
955. #388C2×D11semidirect
959. #387C2×D11semidirect
970. #386C2×D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106232502
C2×#106231482
#130769592
#130769442
#130755122
#130754172
#130751392
#130749722
#130749532
#130749432
#130749182
#130749052
#130748882
#130748692
#130748482
#130748462
#130748292
#130748272
#130748222
#130747432
#130747412
#130743012
#130742382
#130742212
#130742112
#130735492
#130735462
#130720272
#130720042
#130710562
C11×#26732
#3674411