Finite Group Databasebeta

← #14962112

Subgroups — #14962112

Order 2816.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13076238C211yesmaximal, characteristic, complemented
4#13076237C211yesmaximal, characteristic, complemented
5#13075993C211yesmaximal, characteristic, complemented
6#13075850C211yesmaximal, characteristic, complemented
7#13075842C211yesmaximal, characteristic, complemented
8#13075835C211yesmaximal, characteristic, complemented
9#13075752C211yesmaximal, characteristic, complemented
10#13075263C211yesmaximal, characteristic, complemented
11#13075179C211yesmaximal, characteristic, complemented
12#13075167C211yesmaximal, characteristic, complemented
13#13075053C211yesmaximal, characteristic, complemented
14#13075053C211yesmaximal, characteristic, complemented
15#13074996C211yesmaximal, characteristic, complemented
16#13074945C211yesmaximal, characteristic, complemented
17#13074921C211yesmaximal, characteristic, complemented
18#13074824C211yesmaximal, characteristic, complemented
19#13074571C211yesmaximal, characteristic, complemented
20#13074546C211yesmaximal, characteristic, complemented
21#13073178C211yesmaximal, characteristic, complemented
22#13072744C211yesmaximal, characteristic, complemented
23#13072368C211yesmaximal, characteristic, complemented
24#13072277C211yesmaximal, characteristic, complemented
25#13072154C211yesmaximal, characteristic, complemented
26#13071990C211yesmaximal, characteristic, complemented
27#13071984C211yesmaximal, characteristic, complemented
28#13071926C211yesmaximal, characteristic, complemented
29#13071274C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2308C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic, complemented
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C2×#67006C2211yescharacteristic, complemented
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66983C2211yescharacteristic, complemented
47C2×#66983C2211yescharacteristic, complemented
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
50C2×#66977C2211yescharacteristic, complemented
51C2×#66938C2211yescharacteristic, complemented
52C2×#66937C2211yescharacteristic, complemented
53C2×#66937C2211yescharacteristic, complemented
54C2×#66937C2211yescharacteristic, complemented
55C2×#66936C2211yescharacteristic, complemented
56C2×#66936C2211yescharacteristic, complemented
57C2×#66935C2211yescharacteristic, complemented
58C2×#66931C2211yescharacteristic, complemented
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#386C2211yescharacteristic, complemented
64C11×#386C2211yescharacteristic, complemented
65C11×#386C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic, complemented
67C11×#381C2211yescharacteristic, complemented
68C11×#381C2211yescharacteristic, complemented
69C11×#379C2211yescharacteristic, complemented
70C11×#379C2211yescharacteristic, complemented
71#10622860C2211yescharacteristic
72#10622860C2211yescharacteristic, complemented
73#10622836C2211yescharacteristic
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic
76#10622836C2211yescharacteristic
77#10622836C2211yescharacteristic, complemented
78#10622836C2211yescharacteristic, complemented
79#10622835C2211yescharacteristic, complemented
80#10622835C2211yescharacteristic, complemented
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic, complemented
89#10622826C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622825C2211yescharacteristic, complemented
92#10622823C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96C4×C22⋊Dic11C2211yescharacteristic, complemented
97C2×C11⋊#95C2211yescharacteristic, complemented
98C2×C11⋊#95C2211yescharacteristic, complemented
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic, complemented
102#10622574C2211yescharacteristic, complemented
103#10622574C2211yescharacteristic, complemented
104#10622573C2211yescharacteristic
105#10622573C2211yescharacteristic
106#10622573C2211yescharacteristic, complemented
107#10622572C2211yescharacteristic, complemented
108#10622572C2211yescharacteristic, complemented
109#10622572C2211yescharacteristic, complemented
110#10622571C2211yescharacteristic, complemented
111#10622570C2211yescharacteristic, complemented
112#10622570C2211yescharacteristic, complemented
113#10622570C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic, complemented
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic, complemented
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic, complemented
131#10622566C2211yescharacteristic, complemented
132#10622566C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic, complemented
134#10622565C2211yescharacteristic, complemented
135#10622565C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic, complemented
141#10622563C2211yescharacteristic, complemented
142#10622562C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic, complemented
147#10622560C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622555C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic, complemented
156#10622288C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622287C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic, complemented
160#10622286C2211yescharacteristic, complemented
161#10622285C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176C11⋊#401C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622272C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11—24no—
191C22×D4×C11—42no—
192C22×D4×C11—42no—
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11—24no—
203C22×C22⋊D11—42no—
204C22×C22⋊D11—42no—
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11—42no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×C22⋊C4—42no—
233C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250#67006—24no—
251#67006—42no—
252#67006—42no—
253#67006—42no—
254C2×C22⋊Dic11—42no—
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
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278#66992—42no—
279#66992—42no—
280#66990—42no—
281#66990—42no—
282#66983—42no—
283#66983—42no—
284C4×C22⋊D11—42no—
285C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312#66977—42no—
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327#66938—42no—
328#66937—42no—
329#66937—42no—
330#66937—42no—
331#66936—42no—
332#66936—42no—
333#66935—42no—
334#66931—42no—
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375#36776—111nomaximal, Sylow
376C24×C11—22no—
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11—41no—
384C24×C11—41no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11#4114yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
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—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—416no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
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—41no—
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—
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—416no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—416no—
527C2×Dic22—41no—
528C2×Dic22—41no—
529C2×Dic22—41no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590C4⋊Dic11—22no—
591C4⋊Dic11—41no—
592C4⋊Dic11—41no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609#2849—111no—
610#2847—111no—
611#2778—111no—
612#2778—111no—
613#2760—111no—
614#2750—111no—
615#2749—111no—
616#2749—111no—
617#2743—111no—
618#2703—111no—
619#2697—111no—
620#2696—111no—
621#2688—111no—
622#2688—111no—
623#2684—111no—
624#2678—111no—
625#2676—111no—
626#2668—111no—
627#2643—111no—
628#2639—111no—
629#2510—111no—
630#2472—111no—
631#2444—111no—
632#2437—111no—
633#2424—111no—
634#2410—111no—
635#2410—111no—
636#2403—111no—
637#2321—111no—
638#2308D1111yescharacteristic, complemented
639C2×#386—111no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—28no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
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—44no—
672C23×C11—44no—
673C23×C11—44no—
674C23×C11—82no—
675C23×C11—82no—
676C23×C11—82no—
677C23×C11—82no—
678C23×C11—82no—
679C23×C11—82no—
680C23×C11—82no—
681C23×C11—82no—
682C23×C11—82no—
683C23×C11—82no—
684C23×C11C2×#4112yes—
685C23×C11C2×#4112yes—
686C23×C11C2×#4112yes—
687C23×C11H(5,𝔽2)12yes—
688C23×C11H(5,𝔽2)12yes—
689C23×C11C2511yescharacteristic
690C22×D11—28no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
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—44no—
711C22×D11—44no—
712C22×D11—44no—
713C22×D11—44no—
714C22×D11—44no—
715C22×D11—44no—
716C22×D11H(5,𝔽2)12yes—
717C22×D11H(5,𝔽2)12yes—
718D4×C11—44no—
719D4×C11—44no—
720D4×C11—44no—
721D4×C11—44no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
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—44no—
753C2×C4×C11—44no—
754C2×C4×C11—82no—
755C2×C4×C11—82no—
756C2×C4×C11—82no—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—82no—
763C22⋊D11—82no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C22⋊D11—82no—
767C22⋊D11—82no—
768C22⋊D11—82no—
769C22⋊D11—82no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
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—44no—
809C2×Dic11—44no—
810C2×Dic11—82no—
811C2×Dic11H(5,𝔽2)12yes—
812D44—82no—
813D44—82no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—44no—
818C4×D11—82no—
819Dic22—82no—
820C23×D4—111no—
821C23×D4C2×D1111yescharacteristic
822C24×C4—111no—
823C2×#124—111no—
824C2×#123—111no—
825C2×#123—111no—
826C2×C22⋊Q8—111no—
827C2×C22⋊Q8—111no—
828C2×#121—111no—
829C2×#121—111no—
830C2×#121—111no—
831C2×#121—111no—
832C2×#121—111no—
833C2×#121—111no—
834C2×#121—111no—
835C2×#120—111no—
836C2×#120—111no—
837C2×#120—111no—
838C2×#120—111no—
839C2×#120—111no—
840C2×#120—111no—
841C2×#120—111no—
842C2×C4×D4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4C2×D1111yescharacteristic
846C22×C22⋊C4C2×D1111yescharacteristic
847#401—111no—
848#401—111no—
849#400—111no—
850#400—111no—
851#400—111no—
852#400—111no—
853#400—111no—
854#400—111no—
855#400—111no—
856#399—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#397—111no—
862#397—111no—
863#397—111no—
864#397—111no—
865#397—111no—
866#397—111no—
867#396—111no—
868#396—111no—
869#396—111no—
870#396—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#394—111no—
876#394—111no—
877#394—111no—
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#393—111no—
883#393—111no—
884#393—111no—
885#393—111no—
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#392—111no—
891#392—111no—
892#392—111no—
893#392—111no—
894#392—111no—
895#390—111no—
896#390—111no—
897#390—111no—
898#390—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#387—111no—
910#387—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386C2×D1111yescharacteristic
941#386C2×D1111yescharacteristic
942#386C2×D1111yescharacteristic
943#386C2×D1111yescharacteristic
944#386C2×D1111yescharacteristic, complemented
945#386C2×D1111yescharacteristic, complemented
946#386C2×D1111yescharacteristic, complemented
947#386C2×D1111yescharacteristic, complemented
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#383—111no—
958#381—111no—
959#381—111no—
960#381—111no—
961#381C2×D1111yescharacteristic, complemented
962#381C2×D1111yescharacteristic, complemented
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#379—111no—
968#379—111no—
969#379—111no—
970#379C2×D1111yescharacteristic, complemented
971#379C2×D1111yescharacteristic, complemented
972C4×C22⋊C4—111no—
973C2×#95—111no—
974C2×#95—111no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—22no—
986C22×C11—22no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
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—88no—
1010C22×C11—88no—
1011C22×C11#53814yes—
1012C22×C11C22×#4111yescharacteristic
1013C22×C11C2×H(5,𝔽2)11yescharacteristic
1014C22×C11C2×H(5,𝔽2)11yescharacteristic
1015C22×C11C2×H(5,𝔽2)11yescharacteristic
1016C22×C11C2×H(5,𝔽2)11yescharacteristic
1017C22×C11C2×H(5,𝔽2)11yescharacteristic
1018C22×C11#58511yescharacteristic
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—22no—
1025C2×D11—416no—
1026C2×D11—41no—
1027C2×D11—41no—
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—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047C4×C11—41no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051Dic11—22no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064C25—111no—
1065C25C22×D1111yescharacteristic
1066C25C22×D1111yescharacteristic
1067C22×Q8—111no—
1068C22×D4—24no—
1069C22×D4—42no—
1070C22×D4—42no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—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—224no—
1087C22×D4—442no—
1088C22×D4—442no—
1089C22×D4C22×D1111yescharacteristic
1090C22×D4C22×D1111yescharacteristic
1091C22×D4C22×D1111yescharacteristic
1092C22×D4C22×D1111yescharacteristic
1093C23×C4—111no—
1094C23×C4—111no—
1095C23×C4—111no—
1096C23×C4—111no—
1097C23×C4—111no—
1098C23×C4—111no—
1099C23×C4—111no—
1100C23×C4—111no—
1101C23×C4—442no—
1102C23×C4—442no—
1103C23×C4—442no—
1104C23×C4C22×D1111yescharacteristic
1105C23×C4C22×D1111yescharacteristic
1106C23×C4C22×D1111yescharacteristic
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#124—442no—
1110#123—442no—
1111#123—442no—
1112C22⋊Q8—442no—
1113C22⋊Q8—442no—
1114#121—442no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—224no—
1122#120—442no—
1123#120—442no—
1124#120—442no—
1125#120—442no—
1126#120—442no—
1127#120—442no—
1128C4×D4—442no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C22⋊C4—42no—
1146C2×C22⋊C4—42no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
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—442no—
1192C2×C22⋊C4—442no—
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252C2×C11—24no—
1253C2×C11—42no—
1254C2×C11—42no—
1255C2×C11—81no—
1256C2×C11—81no—
1257C2×C11C2×#53811yescharacteristic
1258C2×C11#349011yescharacteristic
1259C2×C11#350511yescharacteristic
1260C2×C11#353211yescharacteristic
1261C2×C11#353411yescharacteristic
1262C2×C11#353411yescharacteristic
1263C2×C11#353711yescharacteristic
1264D11—42no—
1265D11—42no—
1266D11—81no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—111no—
1281C24—111no—
1282C24—111no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—222no—
1287C24—222no—
1288C24—441no—
1289C24—441no—
1290C24#433914yes—
1291C24C23×D1111yescharacteristic
1292C24C23×D1111yescharacteristic
1293C24C23×D1111yescharacteristic
1294C24C23×D1111yescharacteristic
1295C24C23×D1111yescharacteristic
1296C2×Q8—441no—
1297C2×Q8—441no—
1298C2×Q8—441no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—416no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
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—4416no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—111no—
1378C22×C4—111no—
1379C22×C4—111no—
1380C22×C4—111no—
1381C22×C4—111no—
1382C22×C4—111no—
1383C22×C4—111no—
1384C22×C4—111no—
1385C22×C4—111no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—222no—
1390C22×C4—222no—
1391C22×C4—222no—
1392C22×C4—222no—
1393C22×C4—222no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4—441no—
1403C22×C4—441no—
1404C22×C4—441no—
1405C22×C4—4416no—
1406C22×C4—441no—
1407C22×C4—441no—
1408C22×C4—441no—
1409C22×C4—441no—
1410C22×C4—441no—
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C22×C4C23×D1111yescharacteristic
1416C22×C4C23×D1111yescharacteristic
1417C22×C4C23×D1111yescharacteristic
1418C22×C4C23×D1111yescharacteristic
1419C22×C4C23×D1111yescharacteristic
1420C22×C4C23×D1111yescharacteristic
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
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—222no—
1464C22⋊C4—222no—
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—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4—441no—
1497C42—441no—
1498C42—441no—
1499C42—441no—
1500C11#3677611yescharacteristic, complemented, Sylow
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—112no—
1546C23—112no—
1547C23—228no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—444no—
1568C23—444no—
1569C23—444no—
1570C23—444no—
1571C23—444no—
1572C23—444no—
1573C23C2×#433912yes—
1574C23C2×#433912yes—
1575C23C2×#433912yes—
1576C23#6703712yes—
1577C23#6703712yes—
1578C23C24×D1111yescharacteristic
1579Q8—882no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—444no—
1585D4—444no—
1586D4—444no—
1587D4—444no—
1588D4—444no—
1589D4—882no—
1590D4—882no—
1591D4—882no—
1592D4—882no—
1593D4—882no—
1594D4—882no—
1595D4—882no—
1596D4—882no—
1597D4—882no—
1598D4—882no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
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—44no—
1630C2×C4—44no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—82no—
1634C2×C4—112no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
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—444no—
1674C2×C4—444no—
1675C2×C4—444no—
1676C2×C4—444no—
1677C2×C4—444no—
1678C2×C4—444no—
1679C2×C4—882no—
1680C2×C4—882no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
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—88no—
1716C22—88no—
1717C22—222no—
1718C22—222no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—4416no—
1724C22—441no—
1725C22—441no—
1726C22—441no—
1727C22—441no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22#1062302514yes—
1740C22C22×#433911yescharacteristic
1741C22C2×#6703711yescharacteristic
1742C22C2×#6703711yescharacteristic
1743C22D11×H(5,𝔽2)11yescharacteristic
1744C22D11×H(5,𝔽2)11yescharacteristic
1745C22D11×H(5,𝔽2)11yescharacteristic
1746C22#1062345511yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—222no—
1758C4—441no—
1759C4—441no—
1760C4—441no—
1761C4—441no—
1762C4—441no—
1763C4—441no—
1764C4—441no—
1765C4—441no—
1766C4—441no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—442no—
1776C2—442no—
1777C2—881no—
1778C2C2×#1062302511yescharacteristic
1779C2#1308230111yescharacteristic
1780C2#1308244611yescharacteristic
1781C2#1308276811yescharacteristic
1782C2#1308279611yescharacteristic
1783C2#1308280311yescharacteristic
1784C2#1308285311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2308C2
hypercenter#2308D11
hypocenterC11#36776
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076897C2semidirect
3. #13076238C2semidirect
4. #13076237C2semidirect
5. #13075993C2semidirect
6. #13075850C2semidirect
7. #13075842C2semidirect
8. #13075835C2semidirect
9. #13075752C2semidirect
10. #13075263C2semidirect
11. #13075179C2semidirect
12. #13075167C2semidirect
13. #13075053C2semidirect
14. #13075053C2semidirect
15. #13074996C2semidirect
16. #13074945C2semidirect
17. #13074921C2semidirect
18. #13074824C2semidirect
19. #13074571C2semidirect
20. #13074546C2semidirect
21. #13073178C2semidirect
22. #13072744C2semidirect
23. #13072368C2semidirect
24. #13072277C2semidirect
25. #13072154C2semidirect
26. #13071990C2semidirect
27. #13071984C2semidirect
28. #13071926C2semidirect
29. #13071274C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2308C2semidirect
34. C23×C4×D11C22semidirect
40. C2×#67006C22semidirect
46. C2×#66983C22semidirect
47. C2×#66983C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C22×(C2×D11)⋊C4C22semidirect
50. C2×#66977C22semidirect
51. C2×#66938C22semidirect
52. C2×#66937C22semidirect
53. C2×#66937C22semidirect
54. C2×#66937C22semidirect
55. C2×#66936C22semidirect
56. C2×#66936C22semidirect
57. C2×#66935C22semidirect
58. C2×#66931C22semidirect
63. C11×#386C22semidirect
64. C11×#386C22semidirect
65. C11×#386C22semidirect
66. C11×#386C22semidirect
67. C11×#381C22semidirect
68. C11×#381C22semidirect
69. C11×#379C22semidirect
70. C11×#379C22semidirect
72. #10622860C22semidirect
77. #10622836C22semidirect
78. #10622836C22semidirect
79. #10622835C22semidirect
80. #10622835C22semidirect
87. #10622826C22semidirect
88. #10622826C22semidirect
89. #10622826C22semidirect
90. #10622826C22semidirect
91. #10622825C22semidirect
92. #10622823C22semidirect
93. #10622823C22semidirect
94. #10622823C22semidirect
95. #10622823C22semidirect
96. C4×C22⋊Dic11C22semidirect
97. C2×C11⋊#95C22semidirect
98. C2×C11⋊#95C22semidirect
101. #10622574C22semidirect
102. #10622574C22semidirect
103. #10622574C22semidirect
106. #10622573C22semidirect
107. #10622572C22semidirect
108. #10622572C22semidirect
109. #10622572C22semidirect
110. #10622571C22semidirect
111. #10622570C22semidirect
112. #10622570C22semidirect
113. #10622570C22semidirect
114. #10622570C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
123. #10622569C22semidirect
124. #10622569C22semidirect
125. #10622569C22semidirect
126. #10622569C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
130. #10622568C22semidirect
131. #10622566C22semidirect
132. #10622566C22semidirect
133. #10622565C22semidirect
134. #10622565C22semidirect
135. #10622565C22semidirect
136. #10622565C22semidirect
137. #10622565C22semidirect
138. #10622564C22semidirect
139. #10622564C22semidirect
140. #10622563C22semidirect
141. #10622563C22semidirect
142. #10622562C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622561C22semidirect
146. #10622560C22semidirect
147. #10622560C22semidirect
148. #10622559C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
151. #10622557C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622555C22semidirect
155. #10622289C22semidirect
156. #10622288C22semidirect
157. #10622288C22semidirect
158. #10622287C22semidirect
159. #10622286C22semidirect
160. #10622286C22semidirect
161. #10622285C22semidirect
162. #10622283C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
167. #10622280C22semidirect
168. #10622280C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
174. #10622277C22semidirect
175. C11⋊#401C22semidirect
176. C11⋊#401C22semidirect
177. #10622273C22semidirect
178. #10622273C22semidirect
179. #10622272C22semidirect
180. #10622272C22semidirect
181. #10622271C22semidirect
182. #10622271C22semidirect
183. #10622271C22semidirect
184. #10622268C22semidirect
185. #10622267C22semidirect
186. #10622264C22semidirect
638. #2308D11semidirect
944. #386C2×D11semidirect
945. #386C2×D11semidirect
946. #386C2×D11semidirect
947. #386C2×D11semidirect
961. #381C2×D11semidirect
962. #381C2×D11semidirect
970. #379C2×D11semidirect
971. #379C2×D11semidirect
1500. C11#36776semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130768972
#130762382
#130762372
#130759932
#130758502
#130758422
#130758352
#130757522
#130752632
#130751792
#130751672
#130750532
#130749962
#130749452
#130749212
#130748242
#130745712
#130745462
#130731782
#130727442
#130723682
#130722772
#130721542
#130719902
#130719842
#130719262
#130712742
C2×#106225692
C11×#23082
#3677611