Finite Group Databasebeta

← #14926442

Subgroups — #14926442

Order 2816.

3146 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2#13076931C211yesmaximal, characteristic, complemented
3#13076917C211yesmaximal, characteristic, complemented
4#13076908C211yesmaximal, characteristic, complemented
5#13076898C211yesmaximal, characteristic, complemented
6#13074511C211yesmaximal, characteristic, complemented
7#13074500C211yesmaximal, characteristic, complemented
8#13074468C211yesmaximal, characteristic, complemented
9#13074453C211yesmaximal, characteristic, complemented
10#13072871C211yesmaximal, characteristic, complemented
11#13072736C211yesmaximal, characteristic, complemented
12#13072661C211yesmaximal, characteristic, complemented
13#13072547C211yesmaximal, characteristic, complemented
14#13072508C211yesmaximal, characteristic, complemented
15#13072502C211yesmaximal, characteristic, complemented
16#13072434C211yesmaximal, characteristic, complemented
17#13072360C211yesmaximal, characteristic, complemented
18#13072351C211yesmaximal, characteristic, complemented
19#13072277C211yesmaximal, characteristic, complemented
20#13072152C211yesmaximal, characteristic, complemented
21#13072146C211yesmaximal, characteristic, complemented
22#13072072C211yesmaximal, characteristic, complemented
23#13071990C211yesmaximal, characteristic, complemented
24#13071984C211yesmaximal, characteristic, complemented
25#13071926C211yesmaximal, characteristic, complemented
26#13071314C211yesmaximal, characteristic, complemented
27#13071270C211yesmaximal, characteristic, complemented
28#13071249C211yesmaximal, characteristic, complemented
29C4×#67006C211yesmaximal, characteristic, complemented
30C2×#10622826C211yesmaximal, characteristic, complemented
31C22×C4×D4×C11C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C24×C4×C11C2211yescharacteristic
34C24×C4×C11C2211yescharacteristic, complemented
35C23×C22⋊D11C2211yescharacteristic
36C2×C4×D4×C11—28no—
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×C4×D4×C11C2211yescharacteristic, complemented
44C2×C4×D4×C11C2211yescharacteristic, complemented
45C22×C11×C4⋊C4C2211yescharacteristic, complemented
46C22×C11×C22⋊C4C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic, complemented
48C22×C42×C11C2211yescharacteristic, complemented
49C2×#67006C2211yescharacteristic
50C2×#67006C2211yescharacteristic
51C2×#67006C2211yescharacteristic
52C2×#67006C2211yescharacteristic, complemented
53C22×C22⋊Dic11C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66990C2211yescharacteristic
57C2×#66990C2211yescharacteristic
58C2×#66983C2211yescharacteristic
59C2×#66983C2211yescharacteristic
60C2×#66983C2211yescharacteristic, complemented
61C2×#66983C2211yescharacteristic, complemented
62C2×#66982C2211yescharacteristic, complemented
63C2×#66982C2211yescharacteristic, complemented
64C2×C4×C22⋊D11C2211yescharacteristic, complemented
65C2×C4×C22⋊D11C2211yescharacteristic, complemented
66C2×C4×C22⋊D11C2211yescharacteristic, complemented
67C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
68C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
69C2×#66977C2211yescharacteristic, complemented
70#10623091—28no—
71C2×#66951C2211yescharacteristic, complemented
72C2×#66947C2211yescharacteristic, complemented
73C2×#66938C2211yescharacteristic, complemented
74C2×#66937C2211yescharacteristic, complemented
75C2×#66935C2211yescharacteristic, complemented
76C2×#66931C2211yescharacteristic, complemented
77C2×#66929C2211yescharacteristic, complemented
78C2×#66928C2211yescharacteristic, complemented
79#10622860C2211yescharacteristic
80#10622860C2211yescharacteristic, complemented
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic, complemented
87#10622835C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic
96#10622826C2211yescharacteristic
97#10622826C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622826C2211yescharacteristic
101#10622826C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic, complemented
103#10622826C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic, complemented
105#10622826C2211yescharacteristic, complemented
106#10622826C2211yescharacteristic, complemented
107#10622826C2211yescharacteristic, complemented
108#10622826C2211yescharacteristic, complemented
109#10622826C2211yescharacteristic, complemented
110#10622826C2211yescharacteristic, complemented
111#10622826C2211yescharacteristic, complemented
112#10622826C2211yescharacteristic, complemented
113#10622826C2211yescharacteristic, complemented
114#10622826C2211yescharacteristic, complemented
115#10622825C2211yescharacteristic, complemented
116#10622825C2211yescharacteristic, complemented
117#10622825C2211yescharacteristic, complemented
118#10622824C2211yescharacteristic, complemented
119#10622824C2211yescharacteristic, complemented
120#10622823C2211yescharacteristic, complemented
121#10622823C2211yescharacteristic, complemented
122#10622823C2211yescharacteristic, complemented
123#10622823C2211yescharacteristic, complemented
124#10622823C2211yescharacteristic, complemented
125#10622823C2211yescharacteristic, complemented
126#10622823C2211yescharacteristic, complemented
127#10622823C2211yescharacteristic, complemented
128C4×C22⋊Dic11C2211yescharacteristic, complemented
129C4×C22⋊Dic11C2211yescharacteristic, complemented
130C4×C22⋊Dic11C2211yescharacteristic, complemented
131C2×C11⋊#95C2211yescharacteristic, complemented
132C2×C11⋊#95C2211yescharacteristic, complemented
133#10622607C2211yescharacteristic, complemented
134#10622606C2211yescharacteristic, complemented
135#10622606C2211yescharacteristic, complemented
136#10622605C2211yescharacteristic, complemented
137#10622604C2211yescharacteristic, complemented
138#10622603C2211yescharacteristic, complemented
139#10622603C2211yescharacteristic, complemented
140#10622602C2211yescharacteristic, complemented
141#10622599C2211yescharacteristic, complemented
142#10622597C2211yescharacteristic, complemented
143#10622595C2211yescharacteristic, complemented
144#10622594C2211yescharacteristic, complemented
145#10622594C2211yescharacteristic, complemented
146#10622591C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic, complemented
148#10622574C2211yescharacteristic, complemented
149#10622574C2211yescharacteristic, complemented
150#10622573C2211yescharacteristic, complemented
151#10622573C2211yescharacteristic, complemented
152#10622573C2211yescharacteristic, complemented
153#10622572C2211yescharacteristic, complemented
154#10622572C2211yescharacteristic, complemented
155#10622572C2211yescharacteristic, complemented
156#10622571C2211yescharacteristic, complemented
157#10622570C2211yescharacteristic, complemented
158#10622570C2211yescharacteristic, complemented
159#10622569C2211yescharacteristic, complemented
160#10622568C2211yescharacteristic, complemented
161#10622565C2211yescharacteristic, complemented
162#10622564C2211yescharacteristic, complemented
163#10622564C2211yescharacteristic, complemented
164#10622563C2211yescharacteristic, complemented
165#10622563C2211yescharacteristic, complemented
166#10622562C2211yescharacteristic, complemented
167#10622561C2211yescharacteristic, complemented
168#10622561C2211yescharacteristic, complemented
169#10622561C2211yescharacteristic, complemented
170#10622560C2211yescharacteristic, complemented
171#10622560C2211yescharacteristic, complemented
172#10622559C2211yescharacteristic, complemented
173#10622557C2211yescharacteristic, complemented
174#10622555C2211yescharacteristic, complemented
175#10622553C2211yescharacteristic, complemented
176#10622553C2211yescharacteristic, complemented
177#10622553C2211yescharacteristic, complemented
178#10622553C2211yescharacteristic, complemented
179#10622553C2211yescharacteristic, complemented
180#10622553C2211yescharacteristic, complemented
181#10622553C2211yescharacteristic, complemented
182#10622552C2211yescharacteristic, complemented
183#10622550C2211yescharacteristic, complemented
184#10622549C2211yescharacteristic, complemented
185#10622546C2211yescharacteristic, complemented
186#10622546C2211yescharacteristic, complemented
187#10622546C2211yescharacteristic, complemented
188#10622542C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C25×C11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11—24no—
193C22×D4×C11—24no—
194C22×D4×C11—24no—
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11—24no—
200C23×C4×C11—24no—
201C23×C4×C11—42no—
202C23×C4×C11—42no—
203C23×C4×C11—42no—
204C23×C4×C11—42no—
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C23×C4×C11C2311yescharacteristic
214C23×C4×C11C2311yescharacteristic
215C23×C4×C11C2311yescharacteristic
216C23×C4×C11C2311yescharacteristic
217C23×C4×C11C2311yescharacteristic
218C22×C22⋊D11—24no—
219C22×C22⋊D11—42no—
220C22×C22⋊D11—42no—
221C22×C22⋊D11C2311yescharacteristic
222C22×C22⋊D11C2311yescharacteristic
223C22×C22⋊D11C2311yescharacteristic
224C22×C22⋊D11C2311yescharacteristic
225C22×C22⋊D11C2311yescharacteristic
226C22×C22⋊D11C2311yescharacteristic
227C22×C22⋊D11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C22×D44C2311yescharacteristic
238C22×D44C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×Dic22C2311yescharacteristic
241C4×D4×C11—24no—
242C4×D4×C11—24no—
243C4×D4×C11—24no—
244C4×D4×C11—24no—
245C4×D4×C11—24no—
246C4×D4×C11—24no—
247C4×D4×C11—24no—
248C4×D4×C11D418yescomplemented
249C2×C11×C4⋊C4—24no—
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4—24no—
255C2×C11×C22⋊C4—24no—
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C42×C11—24no—
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C42×C11C2311yescharacteristic
268C2×C42×C11C2311yescharacteristic
269#67006—24no—
270#67006—42no—
271#67006—42no—
272#67006—42no—
273C2×C22⋊Dic11—42no—
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297#66992—24no—
298#66992—24no—
299#66990—24no—
300#66990—24no—
301#66983—24no—
302#66983—42no—
303#66983—42no—
304#66983—42no—
305#66982—24no—
306#66982—42no—
307C4×C22⋊D11—24no—
308C4×C22⋊D11—42no—
309C4×C22⋊D11—42no—
310C2×(C2×D11)⋊C4—24no—
311C2×(C2×D11)⋊C4—42no—
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×C4⋊Dic11C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339C2×C4⋊Dic11C2311yescharacteristic
340C2×C4⋊Dic11C2311yescharacteristic
341C2×C4⋊Dic11C2311yescharacteristic
342#66977—42no—
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×Dic11⋊C4C2311yescharacteristic
351C2×Dic11⋊C4C2311yescharacteristic
352C2×Dic11⋊C4C2311yescharacteristic
353C2×Dic11⋊C4C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355C2×C4×Dic11C2311yescharacteristic
356C2×C4×Dic11C2311yescharacteristic
357#66951—24no—
358#66947—24no—
359#66938—24no—
360#66937—24no—
361#66935—24no—
362#66931—24no—
363#66929—24no—
364#66928—24no—
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#34990—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—22no—
402C24×C11—22no—
403C24×C11—22no—
404C24×C11—22no—
405C24×C11—22no—
406C24×C11—22no—
407C24×C11—41no—
408C24×C11—41no—
409C24×C11—41no—
410C24×C11—41no—
411C24×C11#4114yes—
412C24×C11C2411yescharacteristic
413C24×C11C2411yescharacteristic
414C24×C11C2411yescharacteristic
415C24×C11C2411yescharacteristic
416C24×C11C2411yescharacteristic
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—22no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11—41no—
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×D4×C11—232no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11C2×D414yes—
439C2×D4×C11#4114yes—
440C22×C4×C11—22no—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11—22no—
446C22×C4×C11—22no—
447C22×C4×C11—22no—
448C22×C4×C11—22no—
449C22×C4×C11—22no—
450C22×C4×C11—22no—
451C22×C4×C11—22no—
452C22×C4×C11—22no—
453C22×C4×C11—22no—
454C22×C4×C11—22no—
455C22×C4×C11—22no—
456C22×C4×C11—22no—
457C22×C4×C11—22no—
458C22×C4×C11—22no—
459C22×C4×C11—22no—
460C22×C4×C11—22no—
461C22×C4×C11—22no—
462C22×C4×C11—41no—
463C22×C4×C11—41no—
464C22×C4×C11—41no—
465C22×C4×C11—41no—
466C22×C4×C11—41no—
467C22×C4×C11—41no—
468C22×C4×C11—41no—
469C22×C4×C11—41no—
470C22×C4×C11—41no—
471C22×C4×C11—41no—
472C22×C4×C11—41no—
473C22×C4×C11—41no—
474C22×C4×C11—41no—
475C22×C4×C11—41no—
476C22×C4×C11—41no—
477C22×C4×C11—416no—
478C22×C4×C11—416no—
479C22×C4×C11C2×D414yes—
480C22×C4×C11C2×D414yescomplemented
481C22×C4×C11C2411yescharacteristic
482C22×C4×C11C2411yescharacteristic
483C22×C4×C11C2411yescharacteristic
484C22×C4×C11C2411yescharacteristic
485C22×C4×C11C2411yescharacteristic
486C22×C4×C11C2411yescharacteristic
487C22×C4×C11C2411yescharacteristic
488C22×C4×C11C2411yescharacteristic
489C22×C4×C11C2411yescharacteristic
490C22×C4×C11C2411yescharacteristic
491C2×C22⋊D11—22no—
492C2×C22⋊D11—22no—
493C2×C22⋊D11—22no—
494C2×C22⋊D11—22no—
495C2×C22⋊D11—22no—
496C2×C22⋊D11—22no—
497C2×C22⋊D11—22no—
498C2×C22⋊D11—22no—
499C2×C22⋊D11—22no—
500C2×C22⋊D11—22no—
501C2×C22⋊D11—22no—
502C2×C22⋊D11—22no—
503C2×C22⋊D11—22no—
504C2×C22⋊D11—22no—
505C2×C22⋊D11—22no—
506C2×C22⋊D11—22no—
507C2×C22⋊D11—22no—
508C2×C22⋊D11—22no—
509C2×C22⋊D11—22no—
510C2×C22⋊D11—22no—
511C2×C22⋊D11—22no—
512C2×C22⋊D11—41no—
513C2×C22⋊D11—41no—
514C2×C22⋊D11—41no—
515C2×C22⋊D11—41no—
516C2×C22⋊D11—41no—
517C2×C22⋊D11—41no—
518C2×C22⋊D11—41no—
519C2×C22⋊D11—41no—
520C2×C22⋊D11—41no—
521C2×C22⋊D11—41no—
522C2×C22⋊D11—41no—
523C2×C22⋊D11—41no—
524C2×C22⋊D11—41no—
525C2×C22⋊D11—41no—
526C2×C22⋊D11—41no—
527C2×C22⋊D11—41no—
528C2×C22⋊D11—41no—
529C2×C22⋊D11—41no—
530C2×C22⋊D11—416no—
531C22×Dic11—22no—
532C22×Dic11—22no—
533C22×Dic11—22no—
534C22×Dic11—41no—
535C22×Dic11—41no—
536C22×Dic11—41no—
537C22×Dic11—41no—
538C22×Dic11—41no—
539C22×Dic11—41no—
540C22×Dic11C2411yescharacteristic
541C22×Dic11C2411yescharacteristic
542C22×Dic11C2411yescharacteristic
543C22×Dic11C2411yescharacteristic
544C22×Dic11C2411yescharacteristic
545C22×Dic11C2411yescharacteristic
546C22×Dic11C2411yescharacteristic
547C22×Dic11C2411yescharacteristic
548C22×Dic11C2411yescharacteristic
549C22×Dic11C2411yescharacteristic
550C22×Dic11C2411yescharacteristic
551C22×Dic11C2411yescharacteristic
552C22×Dic11C2411yescharacteristic
553C2×D44—22no—
554C2×D44—22no—
555C2×D44—41no—
556C2×D44—41no—
557C2×D44—41no—
558C2×D44—41no—
559C2×C4×D11—22no—
560C2×C4×D11—41no—
561C2×C4×D11—41no—
562C2×Dic22—22no—
563C2×Dic22—41no—
564C2×Dic22—41no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4C2×D414yescomplemented
569C11×C22⋊C4—22no—
570C11×C22⋊C4—22no—
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—22no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4C2×D414yes—
576C11×C22⋊C4C2×D414yescomplemented
577C42×C11—22no—
578C42×C11—22no—
579C42×C11—22no—
580C42×C11C2×D414yescomplemented
581C22⋊Dic11—22no—
582C22⋊Dic11—22no—
583C22⋊Dic11—22no—
584C22⋊Dic11—22no—
585C22⋊Dic11—22no—
586C22⋊Dic11—22no—
587C22⋊Dic11—22no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—41no—
593C22⋊Dic11—41no—
594C22⋊Dic11—41no—
595C22⋊Dic11—41no—
596C22⋊Dic11—41no—
597C22⋊Dic11—41no—
598C22⋊Dic11—41no—
599C22⋊Dic11—41no—
600C22⋊Dic11—41no—
601C22⋊Dic11—41no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604(C2×D11)⋊C4—22no—
605(C2×D11)⋊C4—22no—
606(C2×D11)⋊C4—22no—
607(C2×D11)⋊C4—22no—
608(C2×D11)⋊C4—22no—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—41no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629C4⋊Dic11—22no—
630C4⋊Dic11—41no—
631C4⋊Dic11—41no—
632C4⋊Dic11—41no—
633C4⋊Dic11—41no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—22no—
638Dic11⋊C4—22no—
639Dic11⋊C4—22no—
640Dic11⋊C4—41no—
641Dic11⋊C4—41no—
642Dic11⋊C4—41no—
643Dic11⋊C4—41no—
644Dic11⋊C4—41no—
645C4×Dic11—22no—
646C4×Dic11—41no—
647C4×Dic11—41no—
648C2×#538—111no—
649C22×C4×D4D1111yescharacteristic, complemented
650#2852—111no—
651#2850—111no—
652#2849—111no—
653#2847—111no—
654#2636—111no—
655#2635—111no—
656#2631—111no—
657#2630—111no—
658#2481—111no—
659#2472—111no—
660#2467—111no—
661#2459—111no—
662#2456—111no—
663#2456—111no—
664#2450—111no—
665#2444—111no—
666#2443—111no—
667#2437—111no—
668#2424—111no—
669#2424—111no—
670#2418—111no—
671#2410—111no—
672#2410—111no—
673#2403—111no—
674#2325—111no—
675#2321—111no—
676#2318—111no—
677C4×#120—111no—
678C2×#386—111no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—28no—
688C23×C11—28no—
689C23×C11—28no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—44no—
709C23×C11—44no—
710C23×C11—44no—
711C23×C11—44no—
712C23×C11—44no—
713C23×C11—44no—
714C23×C11—44no—
715C23×C11—44no—
716C23×C11—44no—
717C23×C11—44no—
718C23×C11—44no—
719C23×C11C22×D412yes—
720C23×C11C22×D412yes—
721C23×C11C2×#4112yes—
722C23×C11C2×#4112yes—
723C23×C11C2×#4112yes—
724C23×C11C2×#4112yes—
725C23×C11C2×#4112yes—
726C23×C11H(5,𝔽2)12yes—
727C23×C11H(5,𝔽2)12yes—
728C23×C11C2511yescharacteristic
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—44no—
751C22×D11—44no—
752C22×D11—44no—
753C22×D11—82no—
754C22×D11—82no—
755C22×D11—82no—
756C22×D11—82no—
757D4×C11—28no—
758D4×C11—28no—
759D4×C11—28no—
760D4×C11—28no—
761C2×C4×C11—28no—
762C2×C4×C11—28no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—44no—
787C2×C4×C11—44no—
788C2×C4×C11—44no—
789C2×C4×C11—44no—
790C2×C4×C11—44no—
791C2×C4×C11—44no—
792C2×C4×C11—44no—
793C2×C4×C11—44no—
794C2×C4×C11—44no—
795C2×C4×C11—44no—
796C2×C4×C11—44no—
797C2×C4×C11C22×D412yes—
798C2×C4×C11C22×D412yes—
799C2×C4×C11C22×D412yes—
800C2×C4×C11C22×D412yes—
801C2×C4×C11C22×D412yes—
802C2×C4×C11C2×#4112yes—
803C2×C4×C11H(5,𝔽2)12yes—
804C22⋊D11—44no—
805C22⋊D11—44no—
806C22⋊D11—44no—
807C22⋊D11—44no—
808C22⋊D11—44no—
809C22⋊D11—44no—
810C22⋊D11—44no—
811C22⋊D11—82no—
812C22⋊D11—82no—
813C22⋊D11—82no—
814C22⋊D11—82no—
815C22⋊D11—82no—
816C22⋊D11—82no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—44no—
857C2×Dic11—82no—
858C2×Dic11—82no—
859D44—82no—
860D44—82no—
861C4×D11—82no—
862Dic22—82no—
863C23×D4—111no—
864C23×D4C2×D1111yescharacteristic
865C24×C4C2×D1111yescharacteristic
866C24×C4C2×D1111yescharacteristic, complemented
867#538—228no—
868C2×#126—111no—
869C2×#126—111no—
870C2×#124—111no—
871C2×#124—111no—
872C2×#123—111no—
873C2×#123—111no—
874C2×#123—111no—
875C2×C22⋊Q8—111no—
876C2×C22⋊Q8—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121—111no—
883C2×#121—111no—
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120—111no—
889C2×#120—111no—
890C2×#120—111no—
891C2×C4×D4—28no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4C2×D1111yescharacteristic
896C2×C4×D4C2×D1111yescharacteristic
897C2×C4×D4C2×D1111yescharacteristic
898C2×C4×D4C2×D1111yescharacteristic
899C2×C4×D4C2×D1111yescharacteristic, complemented
900C2×C4×D4C2×D1111yescharacteristic, complemented
901C2×C4×D4C2×D1111yescharacteristic, complemented
902C2×C4×D4C2×D1111yescharacteristic, complemented
903C22×C4⋊C4C2×D1111yescharacteristic, complemented
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4C2×D1111yescharacteristic
908C22×C22⋊C4C2×D1111yescharacteristic, complemented
909C22×C42C2×D1111yescharacteristic, complemented
910#400—111no—
911#400—111no—
912#399—111no—
913#399—111no—
914#398—111no—
915#397—111no—
916#397—111no—
917#397—111no—
918#396—111no—
919#396—111no—
920#396—111no—
921#396—111no—
922#394—111no—
923#394—111no—
924#394—111no—
925#394—111no—
926#394—111no—
927#394—111no—
928#394—111no—
929#394—111no—
930#394—111no—
931#393—111no—
932#393—111no—
933#392—111no—
934#392—111no—
935#392—111no—
936#392—111no—
937#392—111no—
938#392—111no—
939#392—111no—
940#392—111no—
941#392—111no—
942#391—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
958#387—111no—
959#387—111no—
960#387—111no—
961#387—111no—
962#387—111no—
963#387—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386—111no—
976#386—111no—
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386—111no—
990#386—111no—
991#386—111no—
992#385—111no—
993#385—111no—
994#385—111no—
995#385—111no—
996#385—111no—
997#385—111no—
998#385—111no—
999#385—111no—
1000#385—111no—
1001#385—111no—
1002#385—111no—
1003#385—111no—
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380—111no—
1011#380—111no—
1012#379—111no—
1013#379—111no—
1014#379—111no—
1015C4×C22⋊C4—111no—
1016C4×C22⋊C4—111no—
1017C4×C22⋊C4—111no—
1018C2×#95—111no—
1019C2×#95—111no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—22no—
1027C22×C11—22no—
1028C22×C11—22no—
1029C22×C11—22no—
1030C22×C11—22no—
1031C22×C11—22no—
1032C22×C11—22no—
1033C22×C11—22no—
1034C22×C11—22no—
1035C22×C11—22no—
1036C22×C11—22no—
1037C22×C11—22no—
1038C22×C11—22no—
1039C22×C11—22no—
1040C22×C11—22no—
1041C22×C11—416no—
1042C22×C11—416no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11#52514yes—
1056C22×C11#53814yescomplemented
1057C22×C11C23×D411yescharacteristic
1058C22×C11C22×#4111yescharacteristic
1059C22×C11C22×#4111yescharacteristic
1060C22×C11C2×H(5,𝔽2)11yescharacteristic
1061C22×C11C2×H(5,𝔽2)11yescharacteristic
1062C22×C11C2×H(5,𝔽2)11yescharacteristic
1063C22×C11#58511yescharacteristic
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—88no—
1086C4×C11—22no—
1087C4×C11—22no—
1088C4×C11—22no—
1089C4×C11—22no—
1090C4×C11—22no—
1091C4×C11—22no—
1092C4×C11—22no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099Dic11—41no—
1100Dic11—41no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25C22×D1111yescharacteristic
1111C25C22×D1111yescharacteristic
1112C22×Q8—111no—
1113C22×D4—24no—
1114C22×D4—24no—
1115C22×D4—24no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—111no—
1126C22×D4—111no—
1127C22×D4—111no—
1128C22×D4—111no—
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—224no—
1132C22×D4—442no—
1133C22×D4—442no—
1134C22×D4C22×D1111yescharacteristic
1135C22×D4C22×D1111yescharacteristic
1136C22×D4C22×D1111yescharacteristic
1137C22×D4C22×D1111yescharacteristic
1138C23×C4—24no—
1139C23×C4—24no—
1140C23×C4—42no—
1141C23×C4—42no—
1142C23×C4—42no—
1143C23×C4—42no—
1144C23×C4—111no—
1145C23×C4—111no—
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4C22×D1111yescharacteristic
1149C23×C4C22×D1111yescharacteristic
1150C23×C4C22×D1111yescharacteristic
1151C23×C4C22×D1111yescharacteristic
1152C23×C4C22×D1111yescharacteristic
1153C23×C4C22×D1111yescharacteristic
1154C23×C4C22×D1111yescharacteristic
1155C23×C4C22×D1111yescharacteristic
1156C23×C4C22×D1111yescharacteristic
1157C23×C4C22×D1111yescharacteristic
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161#126—224no—
1162#126—224no—
1163#124—224no—
1164#124—224no—
1165#123—224no—
1166#123—224no—
1167#123—442no—
1168C22⋊Q8—224no—
1169C22⋊Q8—442no—
1170#121—224no—
1171#121—224no—
1172#121—224no—
1173#121—224no—
1174#121—442no—
1175#121—442no—
1176#121—442no—
1177#120—224no—
1178#120—224no—
1179#120—224no—
1180#120—224no—
1181#120—442no—
1182#120—442no—
1183#120—442no—
1184C4×D4—24no—
1185C4×D4—24no—
1186C4×D4—24no—
1187C4×D4—24no—
1188C4×D4—24no—
1189C4×D4—24no—
1190C4×D4—24no—
1191C4×D4—224no—
1192C4×D4—442no—
1193C4×D4—442no—
1194C4×D4C22⋊D1118yescomplemented
1195C2×C4⋊C4—24no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—111no—
1198C2×C4⋊C4—111no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—111no—
1203C2×C4⋊C4—111no—
1204C2×C4⋊C4—111no—
1205C2×C4⋊C4—111no—
1206C2×C4⋊C4—111no—
1207C2×C4⋊C4—111no—
1208C2×C4⋊C4—111no—
1209C2×C4⋊C4—111no—
1210C2×C4⋊C4—111no—
1211C2×C4⋊C4—111no—
1212C2×C4⋊C4C22×D1111yescharacteristic
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—24no—
1217C2×C22⋊C4—24no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—111no—
1264C2×C22⋊C4—111no—
1265C2×C22⋊C4—111no—
1266C2×C22⋊C4—224no—
1267C2×C22⋊C4—442no—
1268C2×C22⋊C4—442no—
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—24no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42C22×D1111yescharacteristic
1282C2×C42C22×D1111yescharacteristic
1283C2×C42C22×D1111yescharacteristic
1284C2×C42C22×D1111yescharacteristic
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95—111no—
1298#95—111no—
1299#95—111no—
1300#95—111no—
1301#95—111no—
1302#95—111no—
1303#95—111no—
1304#95—111no—
1305#95—111no—
1306#95—111no—
1307#95—111no—
1308#95—111no—
1309#95—111no—
1310#95—111no—
1311#95—111no—
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95—111no—
1316#95—111no—
1317C2×C11—24no—
1318C2×C11—24no—
1319C2×C11—42no—
1320C2×C11—42no—
1321C2×C11—42no—
1322C2×C11C2×#52511yescharacteristic
1323C2×C11C2×#53811yescharacteristic
1324C2×C11#345911yescharacteristic
1325C2×C11#348411yescharacteristic
1326C2×C11#348811yescharacteristic
1327C2×C11#351311yescharacteristic
1328C2×C11#351911yescharacteristic
1329D11—81no—
1330D11—81no—
1331D11—81no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—111no—
1346C24—111no—
1347C24—111no—
1348C24—222no—
1349C24—222no—
1350C24—222no—
1351C24—441no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24#433914yes—
1356C24C23×D1111yescharacteristic
1357C24C23×D1111yescharacteristic
1358C24C23×D1111yescharacteristic
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—222no—
1362C2×Q8—441no—
1363C2×Q8—441no—
1364C2×D4—232no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—222no—
1398C2×D4—441no—
1399C2×D4—441no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—441no—
1417C2×D4—441no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—4416no—
1421C2×D4#433914yes—
1422C2×D4C2×C22⋊D1114yes—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
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—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—416no—
1461C22×C4—416no—
1462C22×C4—111no—
1463C22×C4—111no—
1464C22×C4—111no—
1465C22×C4—111no—
1466C22×C4—111no—
1467C22×C4—111no—
1468C22×C4—111no—
1469C22×C4—111no—
1470C22×C4—111no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—111no—
1474C22×C4—111no—
1475C22×C4—222no—
1476C22×C4—222no—
1477C22×C4—222no—
1478C22×C4—222no—
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×C4C2×C22⋊D1114yes—
1488C22×C4C2×C22⋊D1114yescomplemented
1489C22×C4C23×D1111yescharacteristic
1490C22×C4C23×D1111yescharacteristic
1491C22×C4C23×D1111yescharacteristic
1492C22×C4C23×D1111yescharacteristic
1493C22×C4C23×D1111yescharacteristic
1494C22×C4C23×D1111yescharacteristic
1495C22×C4C23×D1111yescharacteristic
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—222no—
1503C4⋊C4—222no—
1504C4⋊C4—222no—
1505C4⋊C4—222no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—441no—
1510C4⋊C4—441no—
1511C4⋊C4—441no—
1512C4⋊C4—441no—
1513C4⋊C4—441no—
1514C4⋊C4—441no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C4⋊C4C2×C22⋊D1114yescomplemented
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—222no—
1530C22⋊C4—222no—
1531C22⋊C4—222no—
1532C22⋊C4—222no—
1533C22⋊C4—222no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—441no—
1553C22⋊C4—441no—
1554C22⋊C4—441no—
1555C22⋊C4—441no—
1556C22⋊C4—441no—
1557C22⋊C4—441no—
1558C22⋊C4—441no—
1559C22⋊C4—441no—
1560C22⋊C4—441no—
1561C22⋊C4—441no—
1562C22⋊C4—441no—
1563C22⋊C4—441no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C22⋊C4—441no—
1567C22⋊C4—441no—
1568C22⋊C4—441no—
1569C22⋊C4—441no—
1570C22⋊C4—441no—
1571C22⋊C4—441no—
1572C22⋊C4—441no—
1573C22⋊C4C2×C22⋊D1114yes—
1574C22⋊C4C2×C22⋊D1114yescomplemented
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—222no—
1579C42—441no—
1580C42—441no—
1581C42C2×C22⋊D1114yescomplemented
1582C11#3499011yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—28no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—221no—
1632C23—221no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—221no—
1640C23—221no—
1641C23—221no—
1642C23—221no—
1643C23—221no—
1644C23—444no—
1645C23—444no—
1646C23—444no—
1647C23—882no—
1648C23—882no—
1649C23—882no—
1650C23—882no—
1651C23C2×#433912yes—
1652C23C2×#433912yes—
1653C23C2×#433912yes—
1654C23C2×#433912yes—
1655C23C2×#433912yes—
1656C23#6703712yes—
1657C23#6704212yes—
1658C23C22×C22⋊D1112yes—
1659C23C22×C22⋊D1112yes—
1660C23C24×D1111yescharacteristic
1661Q8—882no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—444no—
1667D4—444no—
1668D4—444no—
1669D4—444no—
1670D4—444no—
1671D4—444no—
1672D4—444no—
1673D4—882no—
1674D4—882no—
1675D4—882no—
1676D4—882no—
1677D4—882no—
1678D4—882no—
1679D4—882no—
1680D4—882no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—444no—
1757C2×C4—882no—
1758C2×C4—882no—
1759C2×C4—882no—
1760C2×C4C2×#433912yes—
1761C2×C4#6703712yes—
1762C2×C4C22×C22⋊D1112yes—
1763C2×C4C22×C22⋊D1112yes—
1764C2×C4C22×C22⋊D1112yes—
1765C2×C4C22×C22⋊D1112yes—
1766C2×C4C22×C22⋊D1112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—441no—
1803C22—441no—
1804C22—441no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—888no—
1824C22#1062309114yescomplemented
1825C22#1062332214yes—
1826C22C22×#433911yescharacteristic
1827C22C22×#433911yescharacteristic
1828C22C2×#6703711yescharacteristic
1829C22C2×#6703711yescharacteristic
1830C22C2×#6704211yescharacteristic
1831C22#1062345311yescharacteristic
1832C22C23×C22⋊D1111yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—441no—
1844C4—441no—
1845C4—441no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—881no—
1862C2—881no—
1863C2—881no—
1864C2C2×#1062332211yescharacteristic
1865C2C2×#1062309111yescharacteristic
1866C2#1308202511yescharacteristic
1867C2#1308225111yescharacteristic
1868C2#1308228511yescharacteristic
1869C2#1308255611yescharacteristic
1870C2#1308264811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC22×C4×D4×C11C2
hypercenterC22×C4×D4D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. #13076931C2semidirect
3. #13076917C2semidirect
4. #13076908C2semidirect
5. #13076898C2semidirect
6. #13074511C2semidirect
7. #13074500C2semidirect
8. #13074468C2semidirect
9. #13074453C2semidirect
10. #13072871C2semidirect
11. #13072736C2semidirect
12. #13072661C2semidirect
13. #13072547C2semidirect
14. #13072508C2semidirect
15. #13072502C2semidirect
16. #13072434C2semidirect
17. #13072360C2semidirect
18. #13072351C2semidirect
19. #13072277C2semidirect
20. #13072152C2semidirect
21. #13072146C2semidirect
22. #13072072C2semidirect
23. #13071990C2semidirect
24. #13071984C2semidirect
25. #13071926C2semidirect
26. #13071314C2semidirect
27. #13071270C2semidirect
28. #13071249C2semidirect
29. C4×#67006C2semidirect
30. C2×#10622826C2semidirect
31. C22×C4×D4×C11C2semidirect
34. C24×C4×C11C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C4×D4×C11C22semidirect
44. C2×C4×D4×C11C22semidirect
45. C22×C11×C4⋊C4C22semidirect
47. C22×C11×C22⋊C4C22semidirect
48. C22×C42×C11C22semidirect
52. C2×#67006C22semidirect
60. C2×#66983C22semidirect
61. C2×#66983C22semidirect
62. C2×#66982C22semidirect
63. C2×#66982C22semidirect
64. C2×C4×C22⋊D11C22semidirect
65. C2×C4×C22⋊D11C22semidirect
66. C2×C4×C22⋊D11C22semidirect
67. C22×(C2×D11)⋊C4C22semidirect
68. C22×(C2×D11)⋊C4C22semidirect
69. C2×#66977C22semidirect
71. C2×#66951C22semidirect
72. C2×#66947C22semidirect
73. C2×#66938C22semidirect
74. C2×#66937C22semidirect
75. C2×#66935C22semidirect
76. C2×#66931C22semidirect
77. C2×#66929C22semidirect
78. C2×#66928C22semidirect
80. #10622860C22semidirect
85. #10622836C22semidirect
86. #10622836C22semidirect
87. #10622835C22semidirect
88. #10622835C22semidirect
101. #10622826C22semidirect
102. #10622826C22semidirect
103. #10622826C22semidirect
104. #10622826C22semidirect
105. #10622826C22semidirect
106. #10622826C22semidirect
107. #10622826C22semidirect
108. #10622826C22semidirect
109. #10622826C22semidirect
110. #10622826C22semidirect
111. #10622826C22semidirect
112. #10622826C22semidirect
113. #10622826C22semidirect
114. #10622826C22semidirect
115. #10622825C22semidirect
116. #10622825C22semidirect
117. #10622825C22semidirect
118. #10622824C22semidirect
119. #10622824C22semidirect
120. #10622823C22semidirect
121. #10622823C22semidirect
122. #10622823C22semidirect
123. #10622823C22semidirect
124. #10622823C22semidirect
125. #10622823C22semidirect
126. #10622823C22semidirect
127. #10622823C22semidirect
128. C4×C22⋊Dic11C22semidirect
129. C4×C22⋊Dic11C22semidirect
130. C4×C22⋊Dic11C22semidirect
131. C2×C11⋊#95C22semidirect
132. C2×C11⋊#95C22semidirect
133. #10622607C22semidirect
134. #10622606C22semidirect
135. #10622606C22semidirect
136. #10622605C22semidirect
137. #10622604C22semidirect
138. #10622603C22semidirect
139. #10622603C22semidirect
140. #10622602C22semidirect
141. #10622599C22semidirect
142. #10622597C22semidirect
143. #10622595C22semidirect
144. #10622594C22semidirect
145. #10622594C22semidirect
146. #10622591C22semidirect
147. #10622574C22semidirect
148. #10622574C22semidirect
149. #10622574C22semidirect
150. #10622573C22semidirect
151. #10622573C22semidirect
152. #10622573C22semidirect
153. #10622572C22semidirect
154. #10622572C22semidirect
155. #10622572C22semidirect
156. #10622571C22semidirect
157. #10622570C22semidirect
158. #10622570C22semidirect
159. #10622569C22semidirect
160. #10622568C22semidirect
161. #10622565C22semidirect
162. #10622564C22semidirect
163. #10622564C22semidirect
164. #10622563C22semidirect
165. #10622563C22semidirect
166. #10622562C22semidirect
167. #10622561C22semidirect
168. #10622561C22semidirect
169. #10622561C22semidirect
170. #10622560C22semidirect
171. #10622560C22semidirect
172. #10622559C22semidirect
173. #10622557C22semidirect
174. #10622555C22semidirect
175. #10622553C22semidirect
176. #10622553C22semidirect
177. #10622553C22semidirect
178. #10622553C22semidirect
179. #10622553C22semidirect
180. #10622553C22semidirect
181. #10622553C22semidirect
182. #10622552C22semidirect
183. #10622550C22semidirect
184. #10622549C22semidirect
185. #10622546C22semidirect
186. #10622546C22semidirect
187. #10622546C22semidirect
188. #10622542C22semidirect
248. C4×D4×C11D4semidirect
480. C22×C4×C11C2×D4semidirect
568. C11×C4⋊C4C2×D4semidirect
576. C11×C22⋊C4C2×D4semidirect
580. C42×C11C2×D4semidirect
649. C22×C4×D4D11semidirect
866. C24×C4C2×D11semidirect
899. C2×C4×D4C2×D11semidirect
900. C2×C4×D4C2×D11semidirect
901. C2×C4×D4C2×D11semidirect
902. C2×C4×D4C2×D11semidirect
903. C22×C4⋊C4C2×D11semidirect
908. C22×C22⋊C4C2×D11semidirect
909. C22×C42C2×D11semidirect
1056. C22×C11#538semidirect
1194. C4×D4C22⋊D11semidirect
1488. C22×C4C2×C22⋊D11semidirect
1518. C4⋊C4C2×C22⋊D11semidirect
1574. C22⋊C4C2×C22⋊D11semidirect
1581. C42C2×C22⋊D11semidirect
1582. C11#34990semidirect
1824. C22#10623091semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
#130769312
#130769172
#130769082
#130768982
#130745112
#130745002
#130744682
#130744532
#130728712
#130727362
#130726612
#130725472
#130725082
#130725022
#130724342
#130723602
#130723512
#130722772
#130721522
#130721462
#130720722
#130719902
#130719842
#130719262
#130713142
#130712702
#130712492
C4×#670062
C2×#106228262
C22×C4×D4×C112
#3499011