Finite Group Databasebeta

← #14962099

Subgroups — #14962099

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#13076895C211yesmaximal, characteristic, complemented
3#13076238C211yesmaximal, characteristic, complemented
4#13076236C211yesmaximal, characteristic, complemented
5#13075992C211yesmaximal, characteristic, complemented
6#13075848C211yesmaximal, characteristic, complemented
7#13075841C211yesmaximal, characteristic, complemented
8#13075838C211yesmaximal, characteristic, complemented
9#13075762C211yesmaximal, characteristic, complemented
10#13075265C211yesmaximal, characteristic, complemented
11#13075179C211yesmaximal, characteristic, complemented
12#13075168C211yesmaximal, characteristic, complemented
13#13075048C211yesmaximal, characteristic, complemented
14#13075047C211yesmaximal, characteristic, complemented
15#13074994C211yesmaximal, characteristic, complemented
16#13074937C211yesmaximal, characteristic, complemented
17#13074911C211yesmaximal, characteristic, complemented
18#13074568C211yesmaximal, characteristic, complemented
19#13074547C211yesmaximal, characteristic, complemented
20#13073169C211yesmaximal, characteristic, complemented
21#13072737C211yesmaximal, characteristic, complemented
22#13072363C211yesmaximal, characteristic, complemented
23#13072283C211yesmaximal, characteristic, complemented
24#13072149C211yesmaximal, characteristic, complemented
25#13071986C211yesmaximal, characteristic, complemented
26#13071983C211yesmaximal, characteristic, complemented
27#13071927C211yesmaximal, characteristic, complemented
28#13071272C211yesmaximal, characteristic, complemented
29#13071192C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2668C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic, complemented
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic, complemented
39C2×#67006C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66991C2211yescharacteristic, complemented
43C2×#66991C2211yescharacteristic, complemented
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66990C2211yescharacteristic, complemented
48C2×#66989C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C2×#66949C2211yescharacteristic, complemented
51C2×#66949C2211yescharacteristic, complemented
52C2×#66937C2211yescharacteristic, complemented
53C2×#66936C2211yescharacteristic, complemented
54C2×#66936C2211yescharacteristic, complemented
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic, complemented
59C11×#399C2211yescharacteristic, complemented
60C11×#397C2211yescharacteristic, complemented
61C11×#397C2211yescharacteristic, complemented
62C11×#394C2211yescharacteristic, complemented
63C11×#394C2211yescharacteristic, complemented
64C11×#392C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic, complemented
67C11×#386C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic, complemented
69C11×#379C2211yescharacteristic, complemented
70#10622860C2211yescharacteristic, complemented
71#10622860C2211yescharacteristic, complemented
72#10622836C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic, complemented
76#10622836C2211yescharacteristic, complemented
77#10622836C2211yescharacteristic, complemented
78#10622835C2211yescharacteristic
79#10622835C2211yescharacteristic, complemented
80#10622835C2211yescharacteristic, complemented
81#10622835C2211yescharacteristic, complemented
82#10622835C2211yescharacteristic, complemented
83#10622834C2211yescharacteristic, complemented
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622833C2211yescharacteristic, complemented
88#10622833C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622826C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622825C2211yescharacteristic, complemented
94#10622824C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622600C2211yescharacteristic, complemented
101#10622600C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622599C2211yescharacteristic, complemented
104#10622599C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic, complemented
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622568C2211yescharacteristic
137#10622568C2211yescharacteristic, complemented
138#10622566C2211yescharacteristic, complemented
139#10622566C2211yescharacteristic, complemented
140#10622566C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622565C2211yescharacteristic, complemented
143#10622565C2211yescharacteristic, complemented
144#10622565C2211yescharacteristic, complemented
145#10622565C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622564C2211yescharacteristic, complemented
149#10622563C2211yescharacteristic, complemented
150#10622563C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic, complemented
153#10622561C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622560C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622556C2211yescharacteristic, complemented
162#10622556C2211yescharacteristic, complemented
163#10622286C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176D11×#95C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic, complemented
178C11⋊#401C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11—24no—
200C22×C22⋊D11—42no—
201C22×C22⋊D11—42no—
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C2×D4×D11—24no—
216C2×D4×D11—42no—
217C2×D4×D11—42no—
218C22×D44C2311yescharacteristic
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11—42no—
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×#121—42no—
233C11×#121—42no—
234C11×#120—42no—
235C11×#120—42no—
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊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
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255#67006—42no—
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
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281#66991—42no—
282#66991—42no—
283#66991—42no—
284#66991—42no—
285#66990—24no—
286#66990—42no—
287#66990—42no—
288#66990—42no—
289#66989—42no—
290C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66949—42no—
327#66949—42no—
328#66937—42no—
329#66936—42no—
330#66936—42no—
331C22⋊C4×D11—42no—
332C22⋊C4×D11—42no—
333C22⋊C4×D11—42no—
334C22⋊C4×D11—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—41no—
378C24×C11—41no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11#4114yes—
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—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C22×C4×C11—22no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11C2411yescharacteristic
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
442C2×C22⋊D11—22no—
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—416no—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495D4×D11—416no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—41no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
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×C4⋊C4—22no—
531C11×C4⋊C4—41no—
532C11×C4⋊C4—41no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
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—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
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—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—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—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11—41no—
597C4⋊Dic11—41no—
598C4⋊Dic11—41no—
599Dic11⋊C4—22no—
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#2668D1111yescharacteristic, complemented
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#2308—111no—
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—21no—
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—21no—
672C23×C11—21no—
673C23×C11—44no—
674C23×C11—82no—
675C23×C11—82no—
676C23×C11—82no—
677C23×C11—82no—
678C23×C11—82no—
679C23×C11—82no—
680C23×C11C2×#4112yes—
681C23×C11H(5,𝔽2)12yes—
682C23×C11C2511yescharacteristic
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—28no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
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—28no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11—82no—
713C22×D11C2×#4112yes—
714C22×D11C2×#4112yes—
715C22×D11H(5,𝔽2)12yes—
716C22×D11H(5,𝔽2)12yes—
717C22×D11H(5,𝔽2)12yes—
718D4×C11—44no—
719D4×C11—82no—
720D4×C11—82no—
721D4×C11—82no—
722D4×C11—82no—
723D4×C11—82no—
724D4×C11—82no—
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—21no—
753C2×C4×C11—21no—
754C2×C4×C11—44no—
755C2×C4×C11—82no—
756C2×C4×C11H(5,𝔽2)12yes—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—44no—
763C22⋊D11—44no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C22⋊D11—82no—
767C22⋊D11—82no—
768C2×Dic11—21no—
769C2×Dic11—21no—
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—44no—
808C2×Dic11—44no—
809D44—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815C4×D11—82no—
816C4×D11—82no—
817C4×D11—82no—
818C4×D11—82no—
819Dic22—82no—
820C23×D4—111no—
821C23×D4—111no—
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×#121C2×D1111yescharacteristic, complemented
834C2×#121C2×D1111yescharacteristic, complemented
835C2×#120—111no—
836C2×#120—111no—
837C2×#120—111no—
838C2×#120—111no—
839C2×#120—111no—
840C2×#120C2×D1111yescharacteristic
841C2×#120C2×D1111yescharacteristic, complemented
842C2×C4×D4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
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#399C2×D1111yescharacteristic, complemented
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#397C2×D1111yescharacteristic, complemented
866#397C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic, complemented
881#394C2×D1111yescharacteristic, complemented
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#392C2×D1111yescharacteristic
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#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386C2×D1111yescharacteristic
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#381—111no—
962#381—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#379—111no—
968#379—111no—
969#379—111no—
970#379—111no—
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—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
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—41no—
1010C22×C11—88no—
1011C22×C11C22×#4111yescharacteristic
1012C22×C11C2×H(5,𝔽2)11yescharacteristic
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×C11#58511yescharacteristic
1018C2×D11—22no—
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—22no—
1025C2×D11—22no—
1026C2×D11—22no—
1027C2×D11—22no—
1028C2×D11—22no—
1029C2×D11—22no—
1030C2×D11—416no—
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—88no—
1040C2×D11#53814yes—
1041C4×C11—22no—
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—41no—
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—
1065C25—111no—
1066C25C22×D1111yescharacteristic
1067C22×Q8—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
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—224no—
1081C22×D4—224no—
1082C22×D4—442no—
1083C22×D4—442no—
1084C22×D4—442no—
1085C22×D4—442no—
1086C22×D4C22×D1111yescharacteristic
1087C22×D4C22×D1111yescharacteristic
1088C22×D4C22×D1111yescharacteristic
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—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—442no—
1105C23×C4—442no—
1106C23×C4—442no—
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#124—442no—
1110#123—442no—
1111#123—442no—
1112C22⋊Q8—442no—
1113C22⋊Q8—442no—
1114#121—42no—
1115#121—42no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—42no—
1122#120—42no—
1123#120—224no—
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⋊C4C22×D1111yescharacteristic
1143C2×C4⋊C4C22×D1111yescharacteristic
1144C2×C4⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
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—442no—
1190C2×C22⋊C4—442no—
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#95—111no—
1245#95—111no—
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252C2×C11—42no—
1253C2×C11—42no—
1254C2×C11—81no—
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—24no—
1265D11—42no—
1266D11—42no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—111no—
1275C24—111no—
1276C24—111no—
1277C24—114no—
1278C24—222no—
1279C24—222no—
1280C24—222no—
1281C24—222no—
1282C24—222no—
1283C24—222no—
1284C24—222no—
1285C24—441no—
1286C24—441no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24—441no—
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—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
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—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
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—4416no—
1357C2×D4—4416no—
1358C22×C4—22no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
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—22no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—222no—
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—22no—
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—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—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—21no—
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—21no—
1533C23—21no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—112no—
1542C23—112no—
1543C23—112no—
1544C23—112no—
1545C23—112no—
1546C23—228no—
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—444no—
1565C23—444no—
1566C23—444no—
1567C23—444no—
1568C23—444no—
1569C23—444no—
1570C23—444no—
1571C23—444no—
1572C23—882no—
1573C23—882no—
1574C23—882no—
1575C23—882no—
1576C23#6703712yes—
1577C23#41×D1112yes—
1578C23C24×D1111yescharacteristic
1579Q8—882no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—444no—
1588D4—444no—
1589D4—444no—
1590D4—444no—
1591D4—444no—
1592D4—444no—
1593D4—444no—
1594D4—444no—
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—44no—
1629C2×C4—82no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
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—444no—
1670C2×C4—444no—
1671C2×C4—444no—
1672C2×C4—444no—
1673C2×C4—444no—
1674C2×C4—444no—
1675C2×C4—444no—
1676C2×C4—882no—
1677C2×C4—882no—
1678C2×C4—882no—
1679C2×C4—882no—
1680C2×C4#6703712yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
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—41no—
1716C22—88no—
1717C22—114no—
1718C22—222no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—222no—
1724C22—222no—
1725C22—222no—
1726C22—222no—
1727C22—222no—
1728C22—222no—
1729C22—222no—
1730C22—4416no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—888no—
1740C22C2×#6703711yescharacteristic
1741C22C2×#6703711yescharacteristic
1742C22C2×#41×D1111yescharacteristic
1743C22D11×H(5,𝔽2)11yescharacteristic
1744C22D11×H(5,𝔽2)11yescharacteristic
1745C22D11×H(5,𝔽2)11yescharacteristic
1746C22#1062345511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—441no—
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—42no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—81no—
1775C2—224no—
1776C2—442no—
1777C2—442no—
1778C2D11×#53811yescharacteristic
1779C2#1308229811yescharacteristic
1780C2#1308244311yescharacteristic
1781C2#1308276811yescharacteristic
1782C2#1308279711yescharacteristic
1783C2#1308280311yescharacteristic
1784C2#1308284711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2668C2
hypercenter#2668D11
hypocenterC11#36776
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076895C2semidirect
3. #13076238C2semidirect
4. #13076236C2semidirect
5. #13075992C2semidirect
6. #13075848C2semidirect
7. #13075841C2semidirect
8. #13075838C2semidirect
9. #13075762C2semidirect
10. #13075265C2semidirect
11. #13075179C2semidirect
12. #13075168C2semidirect
13. #13075048C2semidirect
14. #13075047C2semidirect
15. #13074994C2semidirect
16. #13074937C2semidirect
17. #13074911C2semidirect
18. #13074568C2semidirect
19. #13074547C2semidirect
20. #13073169C2semidirect
21. #13072737C2semidirect
22. #13072363C2semidirect
23. #13072283C2semidirect
24. #13072149C2semidirect
25. #13071986C2semidirect
26. #13071983C2semidirect
27. #13071927C2semidirect
28. #13071272C2semidirect
29. #13071192C2semidirect
30. D11×#386C2semidirect
31. C11×#2668C2semidirect
34. C23×C4×D11C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C11×#121C22semidirect
38. C2×C11×#120C22semidirect
42. C2×#66991C22semidirect
43. C2×#66991C22semidirect
47. C2×#66990C22semidirect
48. C2×#66989C22semidirect
49. C2×C4×C22⋊D11C22semidirect
50. C2×#66949C22semidirect
51. C2×#66949C22semidirect
52. C2×#66937C22semidirect
53. C2×#66936C22semidirect
54. C2×#66936C22semidirect
58. C2×C22⋊C4×D11C22semidirect
59. C11×#399C22semidirect
60. C11×#397C22semidirect
61. C11×#397C22semidirect
62. C11×#394C22semidirect
63. C11×#394C22semidirect
66. C11×#386C22semidirect
67. C11×#386C22semidirect
68. C11×#386C22semidirect
69. C11×#379C22semidirect
70. #10622860C22semidirect
71. #10622860C22semidirect
75. #10622836C22semidirect
76. #10622836C22semidirect
77. #10622836C22semidirect
79. #10622835C22semidirect
80. #10622835C22semidirect
81. #10622835C22semidirect
82. #10622835C22semidirect
83. #10622834C22semidirect
86. #10622833C22semidirect
87. #10622833C22semidirect
88. #10622833C22semidirect
89. #10622833C22semidirect
90. #10622826C22semidirect
91. #10622826C22semidirect
92. #10622826C22semidirect
93. #10622825C22semidirect
94. #10622824C22semidirect
95. #10622823C22semidirect
96. #10622607C22semidirect
97. #10622603C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
100. #10622600C22semidirect
101. #10622600C22semidirect
102. #10622600C22semidirect
103. #10622599C22semidirect
104. #10622599C22semidirect
105. #10622594C22semidirect
107. #10622574C22semidirect
108. #10622574C22semidirect
111. #10622572C22semidirect
113. #10622571C22semidirect
114. #10622570C22semidirect
115. #10622570C22semidirect
116. #10622570C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
132. #10622569C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
137. #10622568C22semidirect
138. #10622566C22semidirect
139. #10622566C22semidirect
140. #10622566C22semidirect
141. #10622565C22semidirect
142. #10622565C22semidirect
143. #10622565C22semidirect
144. #10622565C22semidirect
145. #10622565C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
148. #10622564C22semidirect
149. #10622563C22semidirect
150. #10622563C22semidirect
151. #10622561C22semidirect
152. #10622561C22semidirect
153. #10622561C22semidirect
154. #10622560C22semidirect
155. #10622560C22semidirect
156. #10622560C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
161. #10622556C22semidirect
162. #10622556C22semidirect
163. #10622286C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622279C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622277C22semidirect
175. #10622277C22semidirect
176. D11×#95C22semidirect
177. D11×#95C22semidirect
178. C11⋊#401C22semidirect
179. C11⋊#401C22semidirect
180. #10622273C22semidirect
181. #10622273C22semidirect
182. #10622273C22semidirect
183. #10622272C22semidirect
184. #10622271C22semidirect
185. #10622268C22semidirect
186. #10622264C22semidirect
626. #2668D11semidirect
833. C2×#121C2×D11semidirect
834. C2×#121C2×D11semidirect
841. C2×#120C2×D11semidirect
856. #399C2×D11semidirect
865. #397C2×D11semidirect
866. #397C2×D11semidirect
880. #394C2×D11semidirect
881. #394C2×D11semidirect
945. #386C2×D11semidirect
946. #386C2×D11semidirect
947. #386C2×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
#130768952
#130762382
#130762362
#130759922
#130758482
#130758412
#130758382
#130757622
#130752652
#130751792
#130751682
#130750482
#130750472
#130749942
#130749372
#130749112
#130745682
#130745472
#130731692
#130727372
#130723632
#130722832
#130721492
#130719862
#130719832
#130719272
#130712722
#130711922
D11×#3862
C11×#26682
#3677611