Finite Group Databasebeta

← #14926450

Subgroups — #14926450

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
2C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13076911C211yesmaximal, characteristic, complemented
6#13076897C211yesmaximal, characteristic, complemented
7#13074519C211yesmaximal, characteristic, complemented
8#13074504C211yesmaximal, characteristic, complemented
9#13074472C211yesmaximal, characteristic, complemented
10#13074461C211yesmaximal, characteristic, complemented
11#13072877C211yesmaximal, characteristic, complemented
12#13072742C211yesmaximal, characteristic, complemented
13#13072667C211yesmaximal, characteristic, complemented
14#13072553C211yesmaximal, characteristic, complemented
15#13072508C211yesmaximal, characteristic, complemented
16#13072502C211yesmaximal, characteristic, complemented
17#13072442C211yesmaximal, characteristic, complemented
18#13072368C211yesmaximal, characteristic, complemented
19#13072345C211yesmaximal, characteristic, complemented
20#13072282C211yesmaximal, characteristic, complemented
21#13072154C211yesmaximal, characteristic, complemented
22#13072146C211yesmaximal, characteristic, complemented
23#13072080C211yesmaximal, characteristic, complemented
24#13071991C211yesmaximal, characteristic, complemented
25#13071991C211yesmaximal, characteristic, complemented
26#13071929C211yesmaximal, characteristic, complemented
27#13071314C211yesmaximal, characteristic, complemented
28#13071276C211yesmaximal, characteristic, complemented
29#13071243C211yesmaximal, characteristic, complemented
30C2×#10622826C211yesmaximal, characteristic, complemented
31C4×C11×#120C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C23×C22⋊D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C2×C4×D4×C11C2211yescharacteristic, complemented
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66990C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic, complemented
48C2×#66983C2211yescharacteristic, complemented
49C2×#66982C2211yescharacteristic, complemented
50C2×C4×C22⋊D11—28no—
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic, complemented
56C2×C4×C22⋊D11C2211yescharacteristic, complemented
57C2×C4×C22⋊D11C2211yescharacteristic, complemented
58C2×C4×C22⋊D11C2211yescharacteristic, complemented
59C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
60C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
61C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
62C22×Dic11⋊C4C2211yescharacteristic, complemented
63C22×C4×Dic11C2211yescharacteristic, complemented
64#10623091—28no—
65C2×#66951C2211yescharacteristic, complemented
66C2×#66947C2211yescharacteristic, complemented
67C2×#66947C2211yescharacteristic, complemented
68C2×#66938C2211yescharacteristic, complemented
69C2×#66937C2211yescharacteristic, complemented
70C2×#66937C2211yescharacteristic, complemented
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×#66935C2211yescharacteristic
75C2×#66931C2211yescharacteristic, complemented
76C2×#66931C2211yescharacteristic, complemented
77C2×#66929C2211yescharacteristic, complemented
78C2×#66928C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic, complemented
81C11×#386C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#379C2211yescharacteristic
86C4×C11×C22⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88C4×C11×C22⋊C4C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic, complemented
91#10622836C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622826C2211yescharacteristic
96#10622826C2211yescharacteristic
97#10622826C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic, complemented
101#10622826C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic, complemented
103#10622826C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105C2×C11⋊#95C2211yescharacteristic, complemented
106C2×C11⋊#95C2211yescharacteristic, complemented
107#10622607C2211yescharacteristic, complemented
108#10622605C2211yescharacteristic, complemented
109#10622604C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622593C2211yescharacteristic, complemented
115#10622591C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic, complemented
122#10622572C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic, complemented
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic
134#10622571C2211yescharacteristic
135#10622570C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622568C2211yescharacteristic, complemented
139#10622568C2211yescharacteristic, complemented
140#10622565C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic, complemented
143#10622563C2211yescharacteristic, complemented
144#10622562C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622560C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622555C2211yescharacteristic, complemented
154#10622555C2211yescharacteristic, complemented
155#10622553C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic, complemented
157#10622553C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622552C2211yescharacteristic, complemented
161#10622552C2211yescharacteristic, complemented
162#10622546C2211yescharacteristic, complemented
163#10622546C2211yescharacteristic, complemented
164#10622546C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic, complemented
170#10622285C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622283C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic, complemented
176#10622280C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11—24no—
196C23×C4×C11—42no—
197C23×C4×C11—42no—
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11—24no—
206C22×C22⋊D11—24no—
207C22×C22⋊D11—24no—
208C22×C22⋊D11—24no—
209C22×C22⋊D11—42no—
210C22×C22⋊D11—42no—
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C22×C22⋊D11C2311yescharacteristic
219C22×C22⋊D11C2311yescharacteristic
220C22×C22⋊D11C2311yescharacteristic
221C22×C22⋊D11C2311yescharacteristic
222C22×C22⋊D11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C23×Dic11C2311yescharacteristic
227C23×Dic11C2311yescharacteristic
228C23×Dic11C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×C4×D11—24no—
234C22×C4×D11—42no—
235C22×C4×D11—42no—
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×Dic22C2311yescharacteristic
241C11×#120—24no—
242C4×D4×C11—24no—
243C4×D4×C11—42no—
244C4×D4×C11—42no—
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊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
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C22⋊Dic11—24no—
264C2×C22⋊Dic11—42no—
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
277#66992—24no—
278#66992—24no—
279#66992—42no—
280#66992—42no—
281#66990—24no—
282#66990—42no—
283#66983—24no—
284#66982—24no—
285C4×C22⋊D11—24no—
286C4×C22⋊D11—24no—
287C4×C22⋊D11—24no—
288C4×C22⋊D11—24no—
289C4×C22⋊D11—24no—
290C4×C22⋊D11—24no—
291C4×C22⋊D11—24no—
292C4×C22⋊D11D418yescomplemented
293C2×(C2×D11)⋊C4—24no—
294C2×(C2×D11)⋊C4—24no—
295C2×(C2×D11)⋊C4—42no—
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(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×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331C2×Dic11⋊C4—24no—
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×C4×Dic11—24no—
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66951—24no—
352#66947—24no—
353#66947—42no—
354#66938—24no—
355#66937—24no—
356#66937—42no—
357#66935—24no—
358#66935—24no—
359#66935—42no—
360#66935—42no—
361#66931—24no—
362#66931—42no—
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—41no—
403C24×C11—41no—
404C24×C11#4114yes—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×D4×C11—22no—
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—41no—
435C2×D4×C11—41no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
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—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—41no—
452C22×C4×C11—41no—
453C22×C4×C11—41no—
454C22×C4×C11—41no—
455C22×C4×C11—41no—
456C22×C4×C11—416no—
457C22×C4×C11C2×D414yes—
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C2×C22⋊D11—232no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
487C2×C22⋊D11—22no—
488C2×C22⋊D11—22no—
489C2×C22⋊D11—22no—
490C2×C22⋊D11—22no—
491C2×C22⋊D11—22no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—416no—
505C2×C22⋊D11C2×D414yes—
506C2×C22⋊D11#4114yes—
507C22×Dic11—22no—
508C22×Dic11—22no—
509C22×Dic11—22no—
510C22×Dic11—22no—
511C22×Dic11—22no—
512C22×Dic11—22no—
513C22×Dic11—22no—
514C22×Dic11—22no—
515C22×Dic11—22no—
516C22×Dic11—22no—
517C22×Dic11—41no—
518C22×Dic11—41no—
519C22×Dic11—41no—
520C22×Dic11—41no—
521C22×Dic11—41no—
522C22×Dic11—41no—
523C22×Dic11—41no—
524C22×Dic11—41no—
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532C22×Dic11C2411yescharacteristic
533C22×Dic11C2411yescharacteristic
534C22×Dic11C2411yescharacteristic
535C22×Dic11C2411yescharacteristic
536C22×Dic11C2411yescharacteristic
537C2×D44—22no—
538C2×D44—22no—
539C2×D44—22no—
540C2×D44—22no—
541C2×D44—41no—
542C2×D44—41no—
543C2×D44—41no—
544C2×D44—41no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—22no—
552C2×C4×D11—22no—
553C2×C4×D11—22no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—416no—
561C2×C4×D11C2×D414yescomplemented
562C2×Dic22—22no—
563C2×Dic22—41no—
564C2×Dic22—41no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—41no—
568C11×C22⋊C4—22no—
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⋊C4—22no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—41no—
578C11×C22⋊C4—41no—
579C11×C22⋊C4—41no—
580C42×C11—22no—
581C42×C11—41no—
582C42×C11—41no—
583C22⋊Dic11—22no—
584C22⋊Dic11—22no—
585C22⋊Dic11—22no—
586C22⋊Dic11—22no—
587C22⋊Dic11—22no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—41no—
591C22⋊Dic11—41no—
592C22⋊Dic11—41no—
593C22⋊Dic11—41no—
594C22⋊Dic11C2×D414yes—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—22no—
605(C2×D11)⋊C4—22no—
606(C2×D11)⋊C4—22no—
607(C2×D11)⋊C4—22no—
608(C2×D11)⋊C4—22no—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4—41no—
614(C2×D11)⋊C4—41no—
615(C2×D11)⋊C4—41no—
616(C2×D11)⋊C4—41no—
617(C2×D11)⋊C4—41no—
618(C2×D11)⋊C4—41no—
619(C2×D11)⋊C4—41no—
620(C2×D11)⋊C4—41no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4C2×D414yescomplemented
627C4⋊Dic11—22no—
628C4⋊Dic11—41no—
629C4⋊Dic11—41no—
630Dic11⋊C4—22no—
631Dic11⋊C4—22no—
632Dic11⋊C4—22no—
633Dic11⋊C4—22no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—41no—
638Dic11⋊C4—41no—
639Dic11⋊C4—41no—
640Dic11⋊C4—41no—
641Dic11⋊C4—41no—
642Dic11⋊C4—41no—
643Dic11⋊C4C2×D414yescomplemented
644C4×Dic11—22no—
645C4×Dic11—22no—
646C4×Dic11—22no—
647C4×Dic11C2×D414yescomplemented
648C2×#538—111no—
649C22×C4×D4—111no—
650#2852—111no—
651#2850—111no—
652#2849—111no—
653#2847—111no—
654#2636—111no—
655#2635—111no—
656#2631—111no—
657#2630—111no—
658#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×#120D1111yescharacteristic, complemented
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—21no—
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—44no—
703C23×C11—44no—
704C23×C11—44no—
705C23×C11—44no—
706C23×C11—44no—
707C23×C11C22×D412yes—
708C23×C11C2×#4112yes—
709C23×C11C2×#4112yes—
710C23×C11C2×#4112yes—
711C23×C11C2×#4112yes—
712C23×C11H(5,𝔽2)12yes—
713C23×C11H(5,𝔽2)12yes—
714C23×C11C2511yescharacteristic
715C22×D11—28no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—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—44no—
743C22×D11—44no—
744C22×D11—44no—
745C22×D11—44no—
746C22×D11—44no—
747C22×D11—44no—
748C22×D11—44no—
749C22×D11—44no—
750C22×D11—44no—
751C22×D11—82no—
752C22×D11—82no—
753C22×D11—82no—
754C22×D11—82no—
755C22×D11C22×D412yes—
756C22×D11C2×#4112yes—
757D4×C11—44no—
758D4×C11—44no—
759D4×C11—44no—
760C2×C4×C11—28no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—44no—
792C2×C4×C11—44no—
793C2×C4×C11—44no—
794C2×C4×C11—44no—
795C2×C4×C11—44no—
796C2×C4×C11—82no—
797C2×C4×C11C22×D412yes—
798C2×C4×C11C22×D412yes—
799C2×C4×C11H(5,𝔽2)12yes—
800C22⋊D11—28no—
801C22⋊D11—28no—
802C22⋊D11—28no—
803C22⋊D11—28no—
804C22⋊D11—44no—
805C22⋊D11—44no—
806C22⋊D11—44no—
807C22⋊D11—44no—
808C22⋊D11—82no—
809C22⋊D11—82no—
810C22⋊D11—82no—
811C22⋊D11—82no—
812C2×Dic11—28no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—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—44no—
846C2×Dic11—44no—
847C2×Dic11—44no—
848C2×Dic11—82no—
849C2×Dic11—82no—
850C2×Dic11C22×D412yes—
851C2×Dic11C22×D412yes—
852C2×Dic11C22×D412yes—
853C2×Dic11C2×#4112yes—
854D44—82no—
855D44—82no—
856D44—82no—
857D44—82no—
858C4×D11—44no—
859C4×D11—44no—
860C4×D11—44no—
861C4×D11—44no—
862Dic22—82no—
863C23×D4—111no—
864C23×D4—111no—
865C24×C4—111no—
866C24×C4C2×D1111yescharacteristic
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×#120C2×D1111yescharacteristic
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4—111no—
896C2×C4×D4—111no—
897C2×C4×D4—111no—
898C2×C4×D4—111no—
899C2×C4×D4—228no—
900C2×C4×D4C2×D1111yescharacteristic, complemented
901C2×C4×D4C2×D1111yescharacteristic, complemented
902C2×C4×D4C2×D1111yescharacteristic, complemented
903C22×C4⋊C4—111no—
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4—111no—
908C22×C22⋊C4—111no—
909C22×C42—111no—
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#386C2×D1111yescharacteristic, complemented
990#386C2×D1111yescharacteristic, complemented
991#386C2×D1111yescharacteristic, complemented
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#385C2×D1111yescharacteristic, complemented
1002#385C2×D1111yescharacteristic, complemented
1003#385C2×D1111yescharacteristic, complemented
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380—111no—
1011#380—111no—
1012#379—111no—
1013#379—111no—
1014#379C2×D1111yescharacteristic
1015C4×C22⋊C4C2×D1111yescharacteristic, complemented
1016C4×C22⋊C4C2×D1111yescharacteristic, complemented
1017C4×C22⋊C4C2×D1111yescharacteristic, complemented
1018C2×#95—111no—
1019C2×#95—111no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—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—416no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11#52514yes—
1048C22×C11#53814yescomplemented
1049C22×C11C23×D411yescharacteristic
1050C22×C11C22×#4111yescharacteristic
1051C22×C11C22×#4111yescharacteristic
1052C22×C11C2×H(5,𝔽2)11yescharacteristic
1053C22×C11C2×H(5,𝔽2)11yescharacteristic
1054C22×C11C2×H(5,𝔽2)11yescharacteristic
1055C22×C11#58511yescharacteristic
1056C2×D11—22no—
1057C2×D11—22no—
1058C2×D11—22no—
1059C2×D11—22no—
1060C2×D11—22no—
1061C2×D11—22no—
1062C2×D11—416no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—88no—
1086C4×C11—22no—
1087C4×C11—22no—
1088C4×C11—22no—
1089C4×C11—41no—
1090C4×C11—41no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097Dic11—22no—
1098Dic11—22no—
1099Dic11—22no—
1100Dic11—22no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25—111no—
1111C25C22×D1111yescharacteristic
1112C22×Q8—111no—
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—111no—
1126C22×D4—111no—
1127C22×D4—111no—
1128C22×D4—111no—
1129C22×D4—224no—
1130C22×D4—224no—
1131C22×D4—224no—
1132C22×D4—224no—
1133C22×D4—442no—
1134C22×D4—442no—
1135C22×D4C22×D1111yescharacteristic
1136C22×D4C22×D1111yescharacteristic
1137C22×D4C22×D1111yescharacteristic
1138C23×C4—24no—
1139C23×C4—42no—
1140C23×C4—42no—
1141C23×C4—111no—
1142C23×C4—111no—
1143C23×C4—111no—
1144C23×C4—111no—
1145C23×C4—111no—
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—224no—
1152C23×C4—442no—
1153C23×C4—442no—
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—24no—
1178#120—224no—
1179#120—224no—
1180#120—224no—
1181#120—442no—
1182#120—442no—
1183#120—442no—
1184C4×D4—24no—
1185C4×D4—42no—
1186C4×D4—42no—
1187C4×D4—118no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—224no—
1193C4×D4—224no—
1194C4×D4—224no—
1195C2×C4⋊C4—111no—
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⋊C4—224no—
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—224no—
1261C2×C22⋊C4—224no—
1262C2×C22⋊C4—224no—
1263C2×C22⋊C4—442no—
1264C2×C22⋊C4—442no—
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C22⋊C4C22×D1111yescharacteristic
1267C2×C22⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4C22×D1111yescharacteristic
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42—224no—
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#95C22×D1111yescharacteristic
1312#95C22×D1111yescharacteristic
1313#95C22×D1111yescharacteristic
1314#95C22×D1111yescharacteristic
1315#95C22×D1111yescharacteristic
1316#95C22×D1111yescharacteristic
1317C2×C11—24no—
1318C2×C11—24no—
1319C2×C11—42no—
1320C2×C11—81no—
1321C2×C11C2×#52511yescharacteristic
1322C2×C11C2×#53811yescharacteristic
1323C2×C11#345911yescharacteristic
1324C2×C11#348411yescharacteristic
1325C2×C11#348811yescharacteristic
1326C2×C11#351311yescharacteristic
1327C2×C11#351911yescharacteristic
1328D11—42no—
1329D11—42no—
1330D11—81no—
1331D11—81no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—41no—
1337C24—41no—
1338C24—111no—
1339C24—111no—
1340C24—111no—
1341C24—111no—
1342C24—222no—
1343C24—222no—
1344C24—222no—
1345C24—222no—
1346C24—222no—
1347C24—222no—
1348C24—222no—
1349C24—222no—
1350C24—441no—
1351C24—441no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24—441no—
1356C24#433914yes—
1357C24C23×D1111yescharacteristic
1358C24C23×D1111yescharacteristic
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—222no—
1362C2×Q8—441no—
1363C2×Q8—441no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—114no—
1374C2×D4—114no—
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—2232no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—222no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—222no—
1401C2×D4—222no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—441no—
1417C2×D4—441no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—4416no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—416no—
1444C22×C4—111no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—114no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—111no—
1452C22×C4—111no—
1453C22×C4—111no—
1454C22×C4—111no—
1455C22×C4—111no—
1456C22×C4—111no—
1457C22×C4—222no—
1458C22×C4—222no—
1459C22×C4—222no—
1460C22×C4—222no—
1461C22×C4—222no—
1462C22×C4—222no—
1463C22×C4—222no—
1464C22×C4—222no—
1465C22×C4—222no—
1466C22×C4—222no—
1467C22×C4—222no—
1468C22×C4—222no—
1469C22×C4—222no—
1470C22×C4—222no—
1471C22×C4—222no—
1472C22×C4—441no—
1473C22×C4—441no—
1474C22×C4—441no—
1475C22×C4—441no—
1476C22×C4—441no—
1477C22×C4—441no—
1478C22×C4—4416no—
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×C4D4×D1114yes—
1488C22×C4C23×D1111yescharacteristic
1489C22×C4C23×D1111yescharacteristic
1490C22×C4C23×D1111yescharacteristic
1491C22×C4C23×D1111yescharacteristic
1492C22×C4C23×D1111yescharacteristic
1493C22×C4C23×D1111yescharacteristic
1494C22×C4C23×D1111yescharacteristic
1495C22×C4C23×D1111yescharacteristic
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—41no—
1502C4⋊C4—114no—
1503C4⋊C4—222no—
1504C4⋊C4—222no—
1505C4⋊C4—222no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—222no—
1510C4⋊C4—222no—
1511C4⋊C4—441no—
1512C4⋊C4—441no—
1513C4⋊C4—441no—
1514C4⋊C4—441no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C4⋊C4—441no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—114no—
1532C22⋊C4—114no—
1533C22⋊C4—222no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—222no—
1553C22⋊C4—222no—
1554C22⋊C4—222no—
1555C22⋊C4—222no—
1556C22⋊C4—222no—
1557C22⋊C4—441no—
1558C22⋊C4—441no—
1559C22⋊C4—441no—
1560C22⋊C4—441no—
1561C22⋊C4—441no—
1562C22⋊C4—441no—
1563C22⋊C4—441no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C22⋊C4—441no—
1567C22⋊C4—441no—
1568C22⋊C4—441no—
1569C22⋊C4—441no—
1570C22⋊C4—441no—
1571C22⋊C4—441no—
1572C22⋊C4—441no—
1573C22⋊C4—441no—
1574C22⋊C4—441no—
1575C42—22no—
1576C42—41no—
1577C42—41no—
1578C42—114no—
1579C42—222no—
1580C42—222no—
1581C42—222no—
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—21no—
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—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—112no—
1612C23—112no—
1613C23—228no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—221no—
1632C23—221no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—221no—
1640C23—444no—
1641C23—444no—
1642C23—444no—
1643C23—444no—
1644C23—444no—
1645C23—444no—
1646C23—444no—
1647C23—444no—
1648C23—444no—
1649C23—882no—
1650C23—882no—
1651C23—882no—
1652C23—882no—
1653C23C2×#433912yes—
1654C23C2×#433912yes—
1655C23C2×#433912yes—
1656C23C2×D4×D1112yes—
1657C23#6703712yes—
1658C23#41×D1112yes—
1659C23#6704212yes—
1660C23C24×D1111yescharacteristic
1661Q8—882no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—228no—
1666D4—228no—
1667D4—228no—
1668D4—228no—
1669D4—444no—
1670D4—444no—
1671D4—444no—
1672D4—444no—
1673D4—882no—
1674D4—882no—
1675D4—882no—
1676D4—882no—
1677D4—882no—
1678D4—882no—
1679D4—882no—
1680D4—882no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—82no—
1718C2×C4—112no—
1719C2×C4—112no—
1720C2×C4—112no—
1721C2×C4—112no—
1722C2×C4—228no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—882no—
1763C2×C4—882no—
1764C2×C4C2×D4×D1112yes—
1765C2×C4C2×D4×D1112yes—
1766C2×C4#6703712yes—
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—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—222no—
1795C22—222no—
1796C22—222no—
1797C22—222no—
1798C22—222no—
1799C22—222no—
1800C22—4416no—
1801C22—441no—
1802C22—441no—
1803C22—441no—
1804C22—441no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—888no—
1824C22#1062307814yes—
1825C22#1062309114yescomplemented
1826C22C22×#433911yescharacteristic
1827C22C22×D4×D1111yescharacteristic
1828C22C2×#6703711yescharacteristic
1829C22C2×#6703711yescharacteristic
1830C22C2×#41×D1111yescharacteristic
1831C22C2×#6704211yescharacteristic
1832C22#1062345311yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—222no—
1845C4—222no—
1846C4—222no—
1847C4—222no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—442no—
1861C2—442no—
1862C2—881no—
1863C2—881no—
1864C2C2×#1062307811yescharacteristic
1865C2C2×#1062309111yescharacteristic
1866C2#1308202511yescharacteristic
1867C2#1308224511yescharacteristic
1868C2#1308227711yescharacteristic
1869C2#1308254211yescharacteristic
1870C2#1308263611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC4×C11×#120C2
hypercenterC4×#120D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. C22×C4×C22⋊D11C2semidirect
3. #13076933C2semidirect
4. #13076913C2semidirect
5. #13076911C2semidirect
6. #13076897C2semidirect
7. #13074519C2semidirect
8. #13074504C2semidirect
9. #13074472C2semidirect
10. #13074461C2semidirect
11. #13072877C2semidirect
12. #13072742C2semidirect
13. #13072667C2semidirect
14. #13072553C2semidirect
15. #13072508C2semidirect
16. #13072502C2semidirect
17. #13072442C2semidirect
18. #13072368C2semidirect
19. #13072345C2semidirect
20. #13072282C2semidirect
21. #13072154C2semidirect
22. #13072146C2semidirect
23. #13072080C2semidirect
24. #13071991C2semidirect
25. #13071991C2semidirect
26. #13071929C2semidirect
27. #13071314C2semidirect
28. #13071276C2semidirect
29. #13071243C2semidirect
30. C2×#10622826C2semidirect
31. C4×C11×#120C2semidirect
35. C23×C4×D11C22semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C4×D4×C11C22semidirect
39. C2×C4×D4×C11C22semidirect
46. C2×#66990C22semidirect
47. C2×#66990C22semidirect
48. C2×#66983C22semidirect
49. C2×#66982C22semidirect
55. C2×C4×C22⋊D11C22semidirect
56. C2×C4×C22⋊D11C22semidirect
57. C2×C4×C22⋊D11C22semidirect
58. C2×C4×C22⋊D11C22semidirect
59. C22×(C2×D11)⋊C4C22semidirect
60. C22×(C2×D11)⋊C4C22semidirect
61. C22×(C2×D11)⋊C4C22semidirect
62. C22×Dic11⋊C4C22semidirect
63. C22×C4×Dic11C22semidirect
65. C2×#66951C22semidirect
66. C2×#66947C22semidirect
67. C2×#66947C22semidirect
68. C2×#66938C22semidirect
69. C2×#66937C22semidirect
70. C2×#66937C22semidirect
75. C2×#66931C22semidirect
76. C2×#66931C22semidirect
77. C2×#66929C22semidirect
78. C2×#66928C22semidirect
79. C11×#386C22semidirect
80. C11×#386C22semidirect
81. C11×#386C22semidirect
82. C11×#385C22semidirect
83. C11×#385C22semidirect
84. C11×#385C22semidirect
86. C4×C11×C22⋊C4C22semidirect
87. C4×C11×C22⋊C4C22semidirect
88. C4×C11×C22⋊C4C22semidirect
89. #10622836C22semidirect
90. #10622836C22semidirect
91. #10622836C22semidirect
92. #10622836C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
99. #10622826C22semidirect
100. #10622826C22semidirect
101. #10622826C22semidirect
102. #10622826C22semidirect
103. #10622826C22semidirect
104. #10622823C22semidirect
105. C2×C11⋊#95C22semidirect
106. C2×C11⋊#95C22semidirect
107. #10622607C22semidirect
108. #10622605C22semidirect
109. #10622604C22semidirect
110. #10622603C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622594C22semidirect
114. #10622593C22semidirect
115. #10622591C22semidirect
116. #10622574C22semidirect
121. #10622573C22semidirect
122. #10622572C22semidirect
123. #10622572C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
135. #10622570C22semidirect
136. #10622569C22semidirect
137. #10622569C22semidirect
138. #10622568C22semidirect
139. #10622568C22semidirect
140. #10622565C22semidirect
141. #10622564C22semidirect
142. #10622563C22semidirect
143. #10622563C22semidirect
144. #10622562C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622560C22semidirect
148. #10622559C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622559C22semidirect
152. #10622557C22semidirect
153. #10622555C22semidirect
154. #10622555C22semidirect
155. #10622553C22semidirect
156. #10622553C22semidirect
157. #10622553C22semidirect
158. #10622553C22semidirect
159. #10622553C22semidirect
160. #10622552C22semidirect
161. #10622552C22semidirect
162. #10622546C22semidirect
163. #10622546C22semidirect
164. #10622546C22semidirect
165. #10622289C22semidirect
166. #10622288C22semidirect
167. #10622287C22semidirect
168. #10622286C22semidirect
169. #10622285C22semidirect
170. #10622285C22semidirect
171. #10622283C22semidirect
172. #10622283C22semidirect
173. #10622282C22semidirect
174. #10622282C22semidirect
175. #10622280C22semidirect
176. #10622280C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622271C22semidirect
184. #10622271C22semidirect
185. #10622267C22semidirect
186. #10622264C22semidirect
187. #10622263C22semidirect
188. #10622259C22semidirect
292. C4×C22⋊D11D4semidirect
561. C2×C4×D11C2×D4semidirect
626. (C2×D11)⋊C4C2×D4semidirect
643. Dic11⋊C4C2×D4semidirect
647. C4×Dic11C2×D4semidirect
677. C4×#120D11semidirect
900. C2×C4×D4C2×D11semidirect
901. C2×C4×D4C2×D11semidirect
902. C2×C4×D4C2×D11semidirect
989. #386C2×D11semidirect
990. #386C2×D11semidirect
991. #386C2×D11semidirect
1001. #385C2×D11semidirect
1002. #385C2×D11semidirect
1003. #385C2×D11semidirect
1015. C4×C22⋊C4C2×D11semidirect
1016. C4×C22⋊C4C2×D11semidirect
1017. C4×C22⋊C4C2×D11semidirect
1048. C22×C11#538semidirect
1582. C11#34990semidirect
1825. C22#10623091semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
C22×C4×C22⋊D112
#130769332
#130769132
#130769112
#130768972
#130745192
#130745042
#130744722
#130744612
#130728772
#130727422
#130726672
#130725532
#130725082
#130725022
#130724422
#130723682
#130723452
#130722822
#130721542
#130721462
#130720802
#130719912
#130719292
#130713142
#130712762
#130712432
C2×#106228262
C4×C11×#1202
#3499011