Finite Group Databasebeta

← #14926441

Subgroups — #14926441

Order 2816.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic, complemented
2C22×#66946C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13076907C211yesmaximal, characteristic, complemented
6#13076899C211yesmaximal, characteristic, complemented
7#13074516C211yesmaximal, characteristic, complemented
8#13074509C211yesmaximal, characteristic, complemented
9#13074470C211yesmaximal, characteristic, complemented
10#13074464C211yesmaximal, characteristic, complemented
11#13072742C211yesmaximal, characteristic, complemented
12#13072663C211yesmaximal, characteristic, complemented
13#13072557C211yesmaximal, characteristic, complemented
14#13072507C211yesmaximal, characteristic, complemented
15#13072506C211yesmaximal, characteristic, complemented
16#13072443C211yesmaximal, characteristic, complemented
17#13072367C211yesmaximal, characteristic, complemented
18#13072351C211yesmaximal, characteristic, complemented
19#13072284C211yesmaximal, characteristic, complemented
20#13072154C211yesmaximal, characteristic, complemented
21#13072147C211yesmaximal, characteristic, complemented
22#13072079C211yesmaximal, characteristic, complemented
23#13071989C211yesmaximal, characteristic, complemented
24#13071988C211yesmaximal, characteristic, complemented
25#13071928C211yesmaximal, characteristic, complemented
26#13071315C211yesmaximal, characteristic, complemented
27#13071269C211yesmaximal, characteristic, complemented
28#13071248C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2481C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#126C2211yescharacteristic, complemented
37C22×C11×C4⋊C4C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66983C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic, complemented
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
44C22×C4×Dic11C2211yescharacteristic, complemented
45#10623235—28no—
46C2×#66951C2211yescharacteristic, complemented
47C2×#66949C2211yescharacteristic, complemented
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic
50C2×#66948C2211yescharacteristic, complemented
51C2×#66948C2211yescharacteristic, complemented
52C2×#66947C2211yescharacteristic, complemented
53C2×#66946—28no—
54C2×#66946C2211yescharacteristic
55C2×#66946C2211yescharacteristic
56C2×#66946C2211yescharacteristic
57C2×#66946C2211yescharacteristic
58C2×#66946C2211yescharacteristic, complemented
59C2×#66946C2211yescharacteristic, complemented
60C2×#66946C2211yescharacteristic, complemented
61C2×#66946C2211yescharacteristic, complemented
62C2×#66938C2211yescharacteristic, complemented
63C2×#66937C2211yescharacteristic, complemented
64C2×#66936C2211yescharacteristic, complemented
65C2×#66936C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×#66935C2211yescharacteristic
70C2×#66935C2211yescharacteristic, complemented
71C2×#66935C2211yescharacteristic, complemented
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×C22⋊C4×D11C2211yescharacteristic, complemented
74C2×C22⋊C4×D11C2211yescharacteristic, complemented
75C2×#66931C2211yescharacteristic, complemented
76C2×#66928C2211yescharacteristic, complemented
77C2×C4×D44C2211yescharacteristic, complemented
78C2×C4×D44C2211yescharacteristic, complemented
79C11×#400C2211yescharacteristic, complemented
80C11×#400C2211yescharacteristic, complemented
81C11×#397C2211yescharacteristic, complemented
82C11×#396C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#387C2211yescharacteristic, complemented
85C11×#387C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic
87C11×#386C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#385C2211yescharacteristic, complemented
90C11×#380C2211yescharacteristic, complemented
91C4×C11×C22⋊C4C2211yescharacteristic, complemented
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622606C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622605C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic, complemented
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic, complemented
118#10622573C2211yescharacteristic, complemented
119#10622572C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic, complemented
124#10622570C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic, complemented
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622568C2211yescharacteristic
130#10622568C2211yescharacteristic, complemented
131#10622568C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622563C2211yescharacteristic, complemented
134#10622559C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622552C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic, complemented
142#10622289C2211yescharacteristic, complemented
143#10622287C2211yescharacteristic, complemented
144#10622286C2211yescharacteristic, complemented
145#10622286C2211yescharacteristic, complemented
146#10622285C2211yescharacteristic, complemented
147#10622285C2211yescharacteristic, complemented
148#10622285C2211yescharacteristic, complemented
149#10622285C2211yescharacteristic, complemented
150#10622284C2211yescharacteristic
151#10622284C2211yescharacteristic
152#10622284C2211yescharacteristic, complemented
153#10622284C2211yescharacteristic, complemented
154#10622284C2211yescharacteristic, complemented
155#10622283C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183D11×#95C2211yescharacteristic, complemented
184D11×#95C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C2×D4×D11—24no—
205C2×D4×D11—42no—
206C2×D4×D11—42no—
207C22×D44—24no—
208C22×D44—24no—
209C22×D44—24no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×C4×D11—24no—
223C22×C4×D11—24no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11—42no—
227C22×C4×D11—42no—
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×Dic22C2311yescharacteristic
241C11×#126—24no—
242C2×C11×C4⋊C4—24no—
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267#66992—42no—
268#66990—42no—
269#66983—42no—
270C4×C22⋊D11—42no—
271C2×(C2×D11)⋊C4—24no—
272C2×(C2×D11)⋊C4—24no—
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(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×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11—24no—
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333#66951—24no—
334#66949—24no—
335#66948—24no—
336#66948—24no—
337#66948—24no—
338#66948—42no—
339#66947—24no—
340#66946—24no—
341#66946—24no—
342#66946—24no—
343#66946—24no—
344#66946—24no—
345#66946—24no—
346#66946—24no—
347#66946D418yescomplemented
348#66938—24no—
349#66937—24no—
350#66936—24no—
351#66936—42no—
352#66935—24no—
353#66935—24no—
354#66935—24no—
355#66935—24no—
356#66935—42no—
357#66935—42no—
358C22⋊C4×D11—24no—
359C22⋊C4×D11—42no—
360C22⋊C4×D11—42no—
361#66931—42no—
362#66928—24no—
363C4×D44—24no—
364C4×D44—42no—
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#34990—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—41no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11#4114yes—
421C23×D11C2411yescharacteristic
422C23×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
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
452C2×C22⋊D11—22no—
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—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—41no—
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486D4×D11—416no—
487C2×D44—232no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—22no—
503C2×D44—22no—
504C2×D44—22no—
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—22no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×D44—41no—
521C2×D44—41no—
522C2×D44C2×D414yes—
523C2×D44#4114yes—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—22no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—22no—
536C2×C4×D11—22no—
537C2×C4×D11—22no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—41no—
542C2×C4×D11—41no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11—41no—
546C2×C4×D11—41no—
547C2×C4×D11—41no—
548C2×C4×D11—41no—
549C2×C4×D11—41no—
550C2×C4×D11—41no—
551C2×C4×D11—41no—
552C2×C4×D11—41no—
553C2×C4×D11—41no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—416no—
559C2×C4×D11—416no—
560C2×C4×D11C2×D414yes—
561C2×C4×D11C2×D414yescomplemented
562C2×Dic22—22no—
563C2×Dic22—41no—
564C2×Dic22—41no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4—22no—
569C11×C4⋊C4—22no—
570C11×C4⋊C4—22no—
571C11×C4⋊C4—41no—
572C11×C4⋊C4C2×D414yescomplemented
573C11×C22⋊C4—22no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—22no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—22no—
578C11×C22⋊C4—22no—
579C11×C22⋊C4—22no—
580C11×C22⋊C4—41no—
581C11×C22⋊C4—41no—
582C42×C11—22no—
583C42×C11—41no—
584C22⋊Dic11—22no—
585C22⋊Dic11—22no—
586C22⋊Dic11—22no—
587C22⋊Dic11—22no—
588C22⋊Dic11—41no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—22no—
605(C2×D11)⋊C4—22no—
606(C2×D11)⋊C4—22no—
607(C2×D11)⋊C4—22no—
608(C2×D11)⋊C4—22no—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4—41no—
614(C2×D11)⋊C4—41no—
615(C2×D11)⋊C4—41no—
616(C2×D11)⋊C4—41no—
617(C2×D11)⋊C4—41no—
618(C2×D11)⋊C4—41no—
619(C2×D11)⋊C4—41no—
620(C2×D11)⋊C4—41no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629(C2×D11)⋊C4C2×D414yes—
630(C2×D11)⋊C4C2×D414yescomplemented
631C4⋊Dic11—22no—
632C4⋊Dic11—22no—
633C4⋊Dic11—41no—
634C4⋊Dic11—41no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—41no—
638Dic11⋊C4—41no—
639Dic11⋊C4—41no—
640Dic11⋊C4—41no—
641Dic11⋊C4—41no—
642Dic11⋊C4—41no—
643C4×Dic11—22no—
644C4×Dic11—22no—
645C4×Dic11—22no—
646C4×Dic11—41no—
647C4×Dic11C2×D414yescomplemented
648C2×#538—111no—
649C22×C4×D4—111no—
650#2852—111no—
651#2850—111no—
652#2849—111no—
653#2847—111no—
654#2636—111no—
655#2635—111no—
656#2631—111no—
657#2630—111no—
658#2481D1111yescharacteristic, complemented
659#2472—111no—
660#2467—111no—
661#2459—111no—
662#2456—111no—
663#2456—111no—
664#2450—111no—
665#2444—111no—
666#2443—111no—
667#2437—111no—
668#2424—111no—
669#2424—111no—
670#2418—111no—
671#2410—111no—
672#2410—111no—
673#2403—111no—
674#2325—111no—
675#2321—111no—
676#2318—111no—
677C4×#120—111no—
678C2×#386—111no—
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×C11C2×#4112yes—
691C23×C11H(5,𝔽2)12yes—
692C23×C11H(5,𝔽2)12yes—
693C23×C11C2511yescharacteristic
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—28no—
699C22×D11—28no—
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—28no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—44no—
734C22×D11—44no—
735C22×D11—44no—
736C22×D11—44no—
737C22×D11—44no—
738C22×D11—44no—
739C22×D11—44no—
740C22×D11—44no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—44no—
744C22×D11—44no—
745C22×D11—44no—
746C22×D11—44no—
747C22×D11—82no—
748C22×D11—82no—
749C22×D11—82no—
750C22×D11—82no—
751C22×D11C22×D412yes—
752C22×D11C22×D412yes—
753C22×D11C2×#4112yes—
754C22×D11C2×#4112yes—
755C22×D11C2×#4112yes—
756C22×D11C2×#4112yes—
757D4×C11—44no—
758C2×C4×C11—28no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—44no—
795C2×C4×C11—44no—
796C2×C4×C11C22×D412yes—
797C2×C4×C11C22×D412yes—
798C2×C4×C11C22×D412yes—
799C2×C4×C11C2×#4112yes—
800C22⋊D11—44no—
801C22⋊D11—44no—
802C22⋊D11—44no—
803C22⋊D11—82no—
804C22⋊D11—82no—
805C22⋊D11—82no—
806C2×Dic11—28no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—44no—
835C2×Dic11C22×D412yes—
836C2×Dic11C22×D412yes—
837C2×Dic11H(5,𝔽2)12yes—
838D44—28no—
839D44—28no—
840D44—28no—
841D44—28no—
842D44—44no—
843D44—44no—
844D44—44no—
845D44—82no—
846D44—82no—
847D44—82no—
848D44—82no—
849D44—82no—
850C4×D11—44no—
851C4×D11—44no—
852C4×D11—44no—
853C4×D11—44no—
854C4×D11—44no—
855C4×D11—44no—
856C4×D11—44no—
857C4×D11—44no—
858C4×D11—44no—
859C4×D11—82no—
860C4×D11—82no—
861C4×D11—82no—
862Dic22—82no—
863C23×D4—111no—
864C23×D4—111no—
865C24×C4—111no—
866C24×C4—111no—
867#538—228no—
868C2×#126—111no—
869C2×#126C2×D1111yescharacteristic, complemented
870C2×#124—111no—
871C2×#124—111no—
872C2×#123—111no—
873C2×#123—111no—
874C2×#123—111no—
875C2×C22⋊Q8—111no—
876C2×C22⋊Q8—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121—111no—
883C2×#121—111no—
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120—111no—
889C2×#120—111no—
890C2×#120—111no—
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4—111no—
896C2×C4×D4—111no—
897C2×C4×D4—111no—
898C2×C4×D4—111no—
899C2×C4×D4—111no—
900C2×C4×D4—111no—
901C2×C4×D4—111no—
902C2×C4×D4—228no—
903C22×C4⋊C4C2×D1111yescharacteristic, complemented
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4—111no—
908C22×C22⋊C4—111no—
909C22×C42—111no—
910#400C2×D1111yescharacteristic, complemented
911#400C2×D1111yescharacteristic, complemented
912#399—111no—
913#399—111no—
914#398—111no—
915#397—111no—
916#397—111no—
917#397C2×D1111yescharacteristic, complemented
918#396—111no—
919#396—111no—
920#396—111no—
921#396C2×D1111yescharacteristic, complemented
922#394—111no—
923#394—111no—
924#394—111no—
925#394—111no—
926#394—111no—
927#394—111no—
928#394—111no—
929#394—111no—
930#394—111no—
931#393—111no—
932#393—111no—
933#392—111no—
934#392—111no—
935#392—111no—
936#392—111no—
937#392—111no—
938#392—111no—
939#392—111no—
940#392—111no—
941#392—111no—
942#391—111no—
943#390—111no—
944#390—111no—
945#390—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#388—111no—
956#388—111no—
957#388C2×D1111yescharacteristic, complemented
958#387—111no—
959#387—111no—
960#387—111no—
961#387—111no—
962#387C2×D1111yescharacteristic, complemented
963#387C2×D1111yescharacteristic, complemented
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386—111no—
976#386—111no—
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386C2×D1111yescharacteristic
990#386C2×D1111yescharacteristic
991#386C2×D1111yescharacteristic
992#385—111no—
993#385—111no—
994#385—111no—
995#385—111no—
996#385—111no—
997#385—111no—
998#385—111no—
999#385—111no—
1000#385—111no—
1001#385—111no—
1002#385—111no—
1003#385C2×D1111yescharacteristic, complemented
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380—111no—
1011#380C2×D1111yescharacteristic, complemented
1012#379—111no—
1013#379—111no—
1014#379—111no—
1015C4×C22⋊C4—111no—
1016C4×C22⋊C4—111no—
1017C4×C22⋊C4C2×D1111yescharacteristic, complemented
1018C2×#95—111no—
1019C2×#95—111no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11#53814yescomplemented
1034C22×C11C23×D411yescharacteristic
1035C22×C11C22×#4111yescharacteristic
1036C22×C11C22×#4111yescharacteristic
1037C22×C11C2×H(5,𝔽2)11yescharacteristic
1038C22×C11C2×H(5,𝔽2)11yescharacteristic
1039C22×C11C2×H(5,𝔽2)11yescharacteristic
1040C22×C11#58511yescharacteristic
1041C2×D11—22no—
1042C2×D11—22no—
1043C2×D11—22no—
1044C2×D11—22no—
1045C2×D11—22no—
1046C2×D11—22no—
1047C2×D11—22no—
1048C2×D11—22no—
1049C2×D11—22no—
1050C2×D11—22no—
1051C2×D11—22no—
1052C2×D11—22no—
1053C2×D11—22no—
1054C2×D11—22no—
1055C2×D11—22no—
1056C2×D11—416no—
1057C2×D11—416no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—88no—
1085C2×D11#52514yes—
1086C4×C11—22no—
1087C4×C11—22no—
1088C4×C11—22no—
1089C4×C11—22no—
1090C4×C11—41no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11—41no—
1098C4×C11—41no—
1099Dic11—22no—
1100Dic11—22no—
1101Dic11—22no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25—111no—
1111C25—111no—
1112C22×Q8—111no—
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—111no—
1126C22×D4—111no—
1127C22×D4—111no—
1128C22×D4—111no—
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—224no—
1132C22×D4—224no—
1133C22×D4—224no—
1134C22×D4—224no—
1135C22×D4—442no—
1136C22×D4—442no—
1137C22×D4C22×D1111yescharacteristic
1138C23×C4—111no—
1139C23×C4—111no—
1140C23×C4—111no—
1141C23×C4—111no—
1142C23×C4—111no—
1143C23×C4—111no—
1144C23×C4—111no—
1145C23×C4—111no—
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—224no—
1153C23×C4—224no—
1154C23×C4—442no—
1155C23×C4—442no—
1156C23×C4—442no—
1157C23×C4—442no—
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161#126—24no—
1162#126—224no—
1163#124—224no—
1164#124—224no—
1165#123—224no—
1166#123—224no—
1167#123—442no—
1168C22⋊Q8—224no—
1169C22⋊Q8—442no—
1170#121—224no—
1171#121—224no—
1172#121—224no—
1173#121—224no—
1174#121—442no—
1175#121—442no—
1176#121—442no—
1177#120—224no—
1178#120—224no—
1179#120—224no—
1180#120—224no—
1181#120—442no—
1182#120—442no—
1183#120—442no—
1184C4×D4—118no—
1185C4×D4—224no—
1186C4×D4—224no—
1187C4×D4—224no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—224no—
1193C4×D4—442no—
1194C4×D4—442no—
1195C2×C4⋊C4—24no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—111no—
1198C2×C4⋊C4—111no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—111no—
1203C2×C4⋊C4—111no—
1204C2×C4⋊C4—111no—
1205C2×C4⋊C4—111no—
1206C2×C4⋊C4—111no—
1207C2×C4⋊C4—111no—
1208C2×C4⋊C4C22×D1111yescharacteristic
1209C2×C4⋊C4C22×D1111yescharacteristic
1210C2×C4⋊C4C22×D1111yescharacteristic
1211C2×C4⋊C4C22×D1111yescharacteristic
1212C2×C4⋊C4C22×D1111yescharacteristic
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—224no—
1264C2×C22⋊C4—224no—
1265C2×C22⋊C4—224no—
1266C2×C22⋊C4—442no—
1267C2×C22⋊C4—442no—
1268C2×C22⋊C4C22×D1111yescharacteristic
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42—111no—
1282C2×C42—224no—
1283C2×C42C22×D1111yescharacteristic
1284C2×C42C22×D1111yescharacteristic
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95—111no—
1298#95—111no—
1299#95—111no—
1300#95—111no—
1301#95—111no—
1302#95—111no—
1303#95—111no—
1304#95—111no—
1305#95C22×D1111yescharacteristic
1306#95C22×D1111yescharacteristic
1307#95C22×D1111yescharacteristic
1308#95C22×D1111yescharacteristic
1309#95C22×D1111yescharacteristic
1310#95C22×D1111yescharacteristic
1311#95C22×D1111yescharacteristic
1312#95C22×D1111yescharacteristic
1313#95C22×D1111yescharacteristic
1314#95C22×D1111yescharacteristic
1315#95C22×D1111yescharacteristic
1316#95C22×D1111yescharacteristic
1317C2×C11—24no—
1318C2×C11—81no—
1319C2×C11C2×#52511yescharacteristic
1320C2×C11C2×#53811yescharacteristic
1321C2×C11#345911yescharacteristic
1322C2×C11#348411yescharacteristic
1323C2×C11#348811yescharacteristic
1324C2×C11#351311yescharacteristic
1325C2×C11#351911yescharacteristic
1326D11—24no—
1327D11—42no—
1328D11—42no—
1329D11—42no—
1330D11—81no—
1331D11—81no—
1332C24—111no—
1333C24—111no—
1334C24—111no—
1335C24—111no—
1336C24—114no—
1337C24—111no—
1338C24—111no—
1339C24—222no—
1340C24—222no—
1341C24—222no—
1342C24—222no—
1343C24—222no—
1344C24—222no—
1345C24—222no—
1346C24—222no—
1347C24—222no—
1348C24—222no—
1349C24—222no—
1350C24—222no—
1351C24—441no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24—441no—
1356C24—441no—
1357C24—441no—
1358C24—441no—
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—222no—
1362C2×Q8—441no—
1363C2×Q8—441no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—114no—
1368C2×D4—114no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—2232no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—222no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—441no—
1417C2×D4—441no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—4416no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—114no—
1436C22×C4—114no—
1437C22×C4—111no—
1438C22×C4—111no—
1439C22×C4—111no—
1440C22×C4—111no—
1441C22×C4—111no—
1442C22×C4—111no—
1443C22×C4—111no—
1444C22×C4—222no—
1445C22×C4—222no—
1446C22×C4—222no—
1447C22×C4—222no—
1448C22×C4—222no—
1449C22×C4—222no—
1450C22×C4—222no—
1451C22×C4—222no—
1452C22×C4—222no—
1453C22×C4—222no—
1454C22×C4—222no—
1455C22×C4—222no—
1456C22×C4—222no—
1457C22×C4—222no—
1458C22×C4—222no—
1459C22×C4—222no—
1460C22×C4—222no—
1461C22×C4—222no—
1462C22×C4—222no—
1463C22×C4—441no—
1464C22×C4—441no—
1465C22×C4—441no—
1466C22×C4—441no—
1467C22×C4—441no—
1468C22×C4—441no—
1469C22×C4—441no—
1470C22×C4—441no—
1471C22×C4—441no—
1472C22×C4—441no—
1473C22×C4—441no—
1474C22×C4—441no—
1475C22×C4—441no—
1476C22×C4—441no—
1477C22×C4—441no—
1478C22×C4—441no—
1479C22×C4—441no—
1480C22×C4—441no—
1481C22×C4—441no—
1482C22×C4—441no—
1483C22×C4—4416no—
1484C22×C4—4416no—
1485C22×C4—441no—
1486C22×C4C23×D1111yescharacteristic
1487C22×C4C23×D1111yescharacteristic
1488C22×C4C23×D1111yescharacteristic
1489C22×C4C23×D1111yescharacteristic
1490C22×C4C23×D1111yescharacteristic
1491C22×C4C23×D1111yescharacteristic
1492C22×C4C23×D1111yescharacteristic
1493C22×C4C23×D1111yescharacteristic
1494C22×C4C23×D1111yescharacteristic
1495C22×C4C23×D1111yescharacteristic
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—41no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—222no—
1510C4⋊C4—441no—
1511C4⋊C4—441no—
1512C4⋊C4—441no—
1513C4⋊C4—441no—
1514C4⋊C4—441no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C4⋊C4D4×D1114yescomplemented
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—114no—
1529C22⋊C4—114no—
1530C22⋊C4—222no—
1531C22⋊C4—222no—
1532C22⋊C4—222no—
1533C22⋊C4—222no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—222no—
1553C22⋊C4—222no—
1554C22⋊C4—222no—
1555C22⋊C4—222no—
1556C22⋊C4—441no—
1557C22⋊C4—441no—
1558C22⋊C4—441no—
1559C22⋊C4—441no—
1560C22⋊C4—441no—
1561C22⋊C4—441no—
1562C22⋊C4—441no—
1563C22⋊C4—441no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C22⋊C4—441no—
1567C22⋊C4—441no—
1568C22⋊C4—441no—
1569C22⋊C4—441no—
1570C22⋊C4—441no—
1571C22⋊C4—441no—
1572C22⋊C4—441no—
1573C22⋊C4—441no—
1574C22⋊C4—441no—
1575C42—22no—
1576C42—41no—
1577C42—114no—
1578C42—222no—
1579C42—222no—
1580C42—222no—
1581C42—441no—
1582C11#3499011yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—112no—
1595C23—112no—
1596C23—112no—
1597C23—112no—
1598C23—112no—
1599C23—112no—
1600C23—228no—
1601C23—228no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23—228no—
1607C23—221no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—221no—
1632C23—221no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—444no—
1640C23—444no—
1641C23—444no—
1642C23—444no—
1643C23—444no—
1644C23—444no—
1645C23—444no—
1646C23—444no—
1647C23—444no—
1648C23—444no—
1649C23—444no—
1650C23—444no—
1651C23—444no—
1652C23—444no—
1653C23—882no—
1654C23—882no—
1655C23—882no—
1656C23—882no—
1657C23#41×D1112yes—
1658C23#6704212yes—
1659C23#6704212yes—
1660C23C24×D1111yescharacteristic
1661Q8—882no—
1662D4—44no—
1663D4—228no—
1664D4—228no—
1665D4—228no—
1666D4—228no—
1667D4—444no—
1668D4—444no—
1669D4—444no—
1670D4—444no—
1671D4—444no—
1672D4—444no—
1673D4—882no—
1674D4—882no—
1675D4—882no—
1676D4—882no—
1677D4—882no—
1678D4—882no—
1679D4—882no—
1680D4—882no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—112no—
1720C2×C4—112no—
1721C2×C4—112no—
1722C2×C4—228no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—444no—
1751C2×C4—444no—
1752C2×C4—444no—
1753C2×C4—444no—
1754C2×C4—444no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—882no—
1761C2×C4—882no—
1762C2×C4—882no—
1763C2×C4C2×D4×D1112yes—
1764C2×C4C2×D4×D1112yes—
1765C2×C4C2×D4×D1112yes—
1766C2×C4#41×D1112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—114no—
1781C22—222no—
1782C22—222no—
1783C22—222no—
1784C22—222no—
1785C22—222no—
1786C22—222no—
1787C22—222no—
1788C22—222no—
1789C22—222no—
1790C22—222no—
1791C22—222no—
1792C22—222no—
1793C22—222no—
1794C22—222no—
1795C22—222no—
1796C22—4416no—
1797C22—4416no—
1798C22—441no—
1799C22—441no—
1800C22—441no—
1801C22—441no—
1802C22—441no—
1803C22—441no—
1804C22—441no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—888no—
1825C22#1062323514yescomplemented
1826C22C22×D4×D1111yescharacteristic
1827C22C2×#41×D1111yescharacteristic
1828C22C2×#41×D1111yescharacteristic
1829C22C2×#6704211yescharacteristic
1830C22C2×#6704211yescharacteristic
1831C22D11×H(5,𝔽2)11yescharacteristic
1832C22#1062345711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—222no—
1847C4—222no—
1848C4—222no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—81no—
1858C2—224no—
1859C2—442no—
1860C2—442no—
1861C2—442no—
1862C2—881no—
1863C2—881no—
1864C2D11×#52511yescharacteristic
1865C2C2×#1062323511yescharacteristic
1866C2#1308202411yescharacteristic
1867C2#1308224611yescharacteristic
1868C2#1308228211yescharacteristic
1869C2#1308256111yescharacteristic
1870C2#1308264411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2481C2
hypercenter#2481D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#10623235C2semidirect
2. C22×#66946C2semidirect
3. #13076933C2semidirect
4. #13076913C2semidirect
5. #13076907C2semidirect
6. #13076899C2semidirect
7. #13074516C2semidirect
8. #13074509C2semidirect
9. #13074470C2semidirect
10. #13074464C2semidirect
11. #13072742C2semidirect
12. #13072663C2semidirect
13. #13072557C2semidirect
14. #13072507C2semidirect
15. #13072506C2semidirect
16. #13072443C2semidirect
17. #13072367C2semidirect
18. #13072351C2semidirect
19. #13072284C2semidirect
20. #13072154C2semidirect
21. #13072147C2semidirect
22. #13072079C2semidirect
23. #13071989C2semidirect
24. #13071988C2semidirect
25. #13071928C2semidirect
26. #13071315C2semidirect
27. #13071269C2semidirect
28. #13071248C2semidirect
29. C4×#66935C2semidirect
30. D11×#386C2semidirect
31. C11×#2481C2semidirect
35. C23×C4×D11C22semidirect
36. C2×C11×#126C22semidirect
37. C22×C11×C4⋊C4C22semidirect
41. C2×C4×C22⋊D11C22semidirect
43. C22×(C2×D11)⋊C4C22semidirect
44. C22×C4×Dic11C22semidirect
46. C2×#66951C22semidirect
47. C2×#66949C22semidirect
50. C2×#66948C22semidirect
51. C2×#66948C22semidirect
52. C2×#66947C22semidirect
58. C2×#66946C22semidirect
59. C2×#66946C22semidirect
60. C2×#66946C22semidirect
61. C2×#66946C22semidirect
62. C2×#66938C22semidirect
63. C2×#66937C22semidirect
64. C2×#66936C22semidirect
65. C2×#66936C22semidirect
70. C2×#66935C22semidirect
71. C2×#66935C22semidirect
73. C2×C22⋊C4×D11C22semidirect
74. C2×C22⋊C4×D11C22semidirect
75. C2×#66931C22semidirect
76. C2×#66928C22semidirect
77. C2×C4×D44C22semidirect
78. C2×C4×D44C22semidirect
79. C11×#400C22semidirect
80. C11×#400C22semidirect
81. C11×#397C22semidirect
82. C11×#396C22semidirect
83. C11×#388C22semidirect
84. C11×#387C22semidirect
85. C11×#387C22semidirect
89. C11×#385C22semidirect
90. C11×#380C22semidirect
91. C4×C11×C22⋊C4C22semidirect
95. #10622826C22semidirect
96. #10622823C22semidirect
97. #10622607C22semidirect
98. #10622606C22semidirect
99. #10622605C22semidirect
100. #10622605C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622600C22semidirect
109. #10622600C22semidirect
110. #10622597C22semidirect
111. #10622594C22semidirect
112. #10622594C22semidirect
113. #10622591C22semidirect
114. #10622574C22semidirect
117. #10622573C22semidirect
118. #10622573C22semidirect
119. #10622572C22semidirect
122. #10622571C22semidirect
123. #10622570C22semidirect
124. #10622570C22semidirect
125. #10622569C22semidirect
126. #10622569C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
130. #10622568C22semidirect
131. #10622568C22semidirect
132. #10622564C22semidirect
133. #10622563C22semidirect
134. #10622559C22semidirect
135. #10622557C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622552C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. #10622289C22semidirect
142. #10622289C22semidirect
143. #10622287C22semidirect
144. #10622286C22semidirect
145. #10622286C22semidirect
146. #10622285C22semidirect
147. #10622285C22semidirect
148. #10622285C22semidirect
149. #10622285C22semidirect
152. #10622284C22semidirect
153. #10622284C22semidirect
154. #10622284C22semidirect
155. #10622283C22semidirect
156. #10622283C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622280C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. D11×#95C22semidirect
184. D11×#95C22semidirect
185. #10622267C22semidirect
186. #10622264C22semidirect
187. #10622263C22semidirect
188. #10622259C22semidirect
347. #66946D4semidirect
561. C2×C4×D11C2×D4semidirect
572. C11×C4⋊C4C2×D4semidirect
630. (C2×D11)⋊C4C2×D4semidirect
647. C4×Dic11C2×D4semidirect
658. #2481D11semidirect
869. C2×#126C2×D11semidirect
903. C22×C4⋊C4C2×D11semidirect
910. #400C2×D11semidirect
911. #400C2×D11semidirect
917. #397C2×D11semidirect
921. #396C2×D11semidirect
957. #388C2×D11semidirect
962. #387C2×D11semidirect
963. #387C2×D11semidirect
1003. #385C2×D11semidirect
1011. #380C2×D11semidirect
1017. C4×C22⋊C4C2×D11semidirect
1033. C22×C11#538semidirect
1518. C4⋊C4D4×D11semidirect
1582. C11#34990semidirect
1825. C22#10623235semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C22×#669462
#130769332
#130769132
#130769072
#130768992
#130745162
#130745092
#130744702
#130744642
#130727422
#130726632
#130725572
#130725072
#130725062
#130724432
#130723672
#130723512
#130722842
#130721542
#130721472
#130720792
#130719892
#130719882
#130719282
#130713152
#130712692
#130712482
C4×#669352
D11×#3862
C11×#24812
#3499011