Finite Group Databasebeta

← D11×#2557 #14923878

Subgroups — D11×#2557 #14923878

Order 2816.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#124C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13073722C211yesmaximal, characteristic, complemented
4#13073721C211yesmaximal, characteristic, complemented
5#13073720C211yesmaximal, characteristic, complemented
6#13073719C211yesmaximal, characteristic, complemented
7#13073718C211yesmaximal, characteristic, complemented
8#13073717C211yesmaximal, characteristic, complemented
9#13073716C211yesmaximal, characteristic, complemented
10#13073715C211yesmaximal, characteristic, complemented
11#13073714C211yesmaximal, characteristic, complemented
12#13073713C211yesmaximal, characteristic, complemented
13#13073712C211yesmaximal, characteristic, complemented
14#13073711C211yesmaximal, characteristic, complemented
15#13073710C211yesmaximal, characteristic, complemented
16#13073709C211yesmaximal, characteristic, complemented
17#13073708C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic, complemented
19D11×#397C211yesmaximal, characteristic, complemented
20D11×#393C211yesmaximal, characteristic, complemented
21D11×#392C211yesmaximal, characteristic
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#390C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#386C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2557C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C22×D4×D11C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C23×C4×D11C2211yescharacteristic
38C2×C11×#124C2211yescharacteristic, complemented
39C2×C11×#123C2211yescharacteristic, complemented
40C2×#67000C2211yescharacteristic, complemented
41C2×#66989C2211yescharacteristic, complemented
42C2×#66988C2211yescharacteristic, complemented
43C2×#66982C2211yescharacteristic, complemented
44D11×#124—28no—
45D11×#123—28no—
46C2×#66947C2211yescharacteristic, complemented
47C2×#66947C2211yescharacteristic, complemented
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×#66939C2211yescharacteristic, complemented
52C2×#66938C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic, complemented
54C2×#66938C2211yescharacteristic, complemented
55C2×#66938C2211yescharacteristic, complemented
56C2×#66936C2211yescharacteristic, complemented
57C2×#66936C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×#66928C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#397C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#393C2211yescharacteristic, complemented
78C11×#392C2211yescharacteristic
79C11×#391C2211yescharacteristic, complemented
80C11×#390C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#387C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic, complemented
86C4×C11×C22⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic, complemented
89#10622843C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622834C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic, complemented
97#10622826C2211yescharacteristic, complemented
98#10622826C2211yescharacteristic, complemented
99#10622826C2211yescharacteristic, complemented
100C4×C22⋊Dic11C2211yescharacteristic, complemented
101C4×C22⋊Dic11C2211yescharacteristic, complemented
102#10622606C2211yescharacteristic, complemented
103#10622606C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622601C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622587C2211yescharacteristic, complemented
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622573C2211yescharacteristic
112#10622571C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622570C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic, complemented
125#10622566C2211yescharacteristic, complemented
126#10622566C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622560C2211yescharacteristic, complemented
133#10622560C2211yescharacteristic, complemented
134#10622560C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137C22⋊C4×Dic11C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622552C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic, complemented
150#10622288C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622288C2211yescharacteristic, complemented
153#10622287C2211yescharacteristic, complemented
154#10622287C2211yescharacteristic, complemented
155#10622286C2211yescharacteristic, complemented
156#10622286C2211yescharacteristic, complemented
157#10622286C2211yescharacteristic, complemented
158#10622284C2211yescharacteristic
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622278C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180D11×#95C2211yescharacteristic
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×Q8×D11—24no—
207C2×Q8×D11—24no—
208C2×Q8×D11—42no—
209C2×D4×D11—24no—
210C2×D4×D11—24no—
211C2×D4×D11—24no—
212C2×D4×D11—24no—
213C2×D4×D11—24no—
214C2×D4×D11—24no—
215C2×D4×D11—42no—
216C2×D4×D11—42no—
217C2×D4×D11—42no—
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11—24no—
222C22×C4×D11—24no—
223C22×C4×D11—24no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11—42no—
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×Dic22C2311yescharacteristic
244C22×Dic22C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C11×#124—24no—
247C11×#123—24no—
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280#67000—24no—
281#66989—24no—
282#66988—24no—
283#66982—24no—
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66947—24no—
329#66947—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332C4⋊C4×D11—24no—
333#66939—24no—
334#66938—24no—
335#66938—24no—
336#66938—24no—
337#66938—24no—
338#66936—24no—
339#66936—24no—
340C22⋊C4×D11—24no—
341C22⋊C4×D11—24no—
342C22⋊C4×D11—24no—
343C22⋊C4×D11—24no—
344C22⋊C4×D11—24no—
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349C22⋊C4×D11—42no—
350C22⋊C4×D11—42no—
351C22⋊C4×D11—42no—
352C22⋊C4×D11D418yescomplemented
353#66928—24no—
354C42×D11—24no—
355C42×D11—42no—
356C42×D11—42no—
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
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
397C2×#2557—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—22no—
420C23×D11C2×D414yes—
421C23×D11#4114yes—
422C23×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C2×Q8×C11—22no—
427C2×Q8×C11—22no—
428C2×Q8×C11—41no—
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—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492Q8×D11—416no—
493D4×D11—416no—
494D4×D11—416no—
495D4×D11—416no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—22no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—22no—
536C2×C4×D11—22no—
537C2×C4×D11—22no—
538C2×C4×D11—22no—
539C2×C4×D11—22no—
540C2×C4×D11—22no—
541C2×C4×D11—22no—
542C2×C4×D11—41no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11—41no—
546C2×C4×D11—41no—
547C2×C4×D11—41no—
548C2×C4×D11—416no—
549C2×C4×D11—416no—
550C2×C4×D11C2×D414yes—
551C2×C4×D11C2×D414yes—
552C2×C4×D11#4114yes—
553C2×C4×D11#4114yes—
554C2×C4×D11#4114yes—
555C2×Dic22—22no—
556C2×Dic22—22no—
557C2×Dic22—22no—
558C2×Dic22—22no—
559C2×Dic22—22no—
560C2×Dic22—22no—
561C2×Dic22—41no—
562C2×Dic22—41no—
563C2×Dic22—41no—
564C11×C4⋊C4—22no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C22⋊C4—22no—
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—41no—
577C11×C22⋊C4—41no—
578C11×C22⋊C4—41no—
579C11×C22⋊C4C2×D414yescomplemented
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—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—41no—
593C22⋊Dic11—41no—
594C22⋊Dic11—41no—
595C22⋊Dic11C2×D414yescomplemented
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—22no—
613(C2×D11)⋊C4—22no—
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)⋊C4C2×D414yescomplemented
621(C2×D11)⋊C4C2×D414yescomplemented
622C4⋊Dic11—22no—
623C4⋊Dic11—22no—
624C4⋊Dic11—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—22no—
628Dic11⋊C4—22no—
629Dic11⋊C4—22no—
630Dic11⋊C4—22no—
631C4×Dic11—22no—
632C4×Dic11—22no—
633C4×Dic11—22no—
634C4×Dic11—41no—
635C4×Dic11—41no—
636C4×Dic11—41no—
637C4×Dic11—41no—
638C4×Dic11—41no—
639C4×Dic11—41no—
640C22×#124—111no—
641C22×#123—111no—
642#2557—111no—
643#2557—111no—
644#2557—111no—
645#2557—111no—
646#2557—111no—
647#2557—111no—
648#2557—111no—
649#2557—111no—
650#2557—111no—
651#2557—111no—
652#2557—111no—
653#2557—111no—
654#2557—111no—
655#2557—111no—
656#2557—111no—
657#2557D1111yescharacteristic, direct product factor
658C2×#397—111no—
659C2×#397—111no—
660C2×#393—111no—
661C2×#392—111no—
662C2×#391—111no—
663C2×#390—111no—
664C2×#388—111no—
665C2×#387—111no—
666C2×#386—111no—
667C2×#386—111no—
668C2×#386—111no—
669C2×C4×C22⋊C4—111no—
670C2×C4×C22⋊C4—111no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11C22×D412yes—
691C23×C11C2×#4112yes—
692C23×C11C2511yescharacteristic
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—28no—
706C22×D11—28no—
707C22×D11—28no—
708C22×D11—28no—
709C22×D11—28no—
710C22×D11—28no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—44no—
726C22×D11—44no—
727C22×D11—44no—
728C22×D11—44no—
729C22×D11—44no—
730C22×D11—44no—
731C22×D11—44no—
732C22×D11—44no—
733C22×D11C22×D412yes—
734C22×D11C22×D412yes—
735C22×D11C2×#4112yes—
736C22×D11C2×#4112yes—
737C22×D11C2×#4112yes—
738C22×D11C2×#4112yes—
739C22×D11C2×#4112yes—
740C22×D11H(5,𝔽2)12yes—
741C22×D11H(5,𝔽2)12yes—
742Q8×C11—44no—
743D4×C11—44no—
744D4×C11—44no—
745D4×C11—44no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—44no—
778C2×C4×C11—44no—
779C2×C4×C11C22×D412yes—
780C2×C4×C11C22×D412yes—
781C2×C4×C11C2×#4112yes—
782C2×C4×C11C2×#4112yes—
783C2×C4×C11C2×#4112yes—
784C22⋊D11—44no—
785C22⋊D11—44no—
786C22⋊D11—44no—
787C22⋊D11—44no—
788C22⋊D11—44no—
789C22⋊D11—44no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—44no—
822C2×Dic11—44no—
823C2×Dic11C22×D412yes—
824C2×Dic11C22×D412yes—
825C2×Dic11C2×#4112yes—
826C2×Dic11C2×#4112yes—
827C2×Dic11C2×#4112yes—
828D44—44no—
829D44—44no—
830D44—44no—
831C4×D11—28no—
832C4×D11—28no—
833C4×D11—28no—
834C4×D11—28no—
835C4×D11—28no—
836C4×D11—44no—
837C4×D11—44no—
838C4×D11—44no—
839C4×D11—44no—
840C4×D11—44no—
841C4×D11—44no—
842C4×D11—44no—
843C4×D11—44no—
844C4×D11—44no—
845C4×D11—44no—
846C4×D11—44no—
847Dic22—44no—
848Dic22—44no—
849Dic22—44no—
850C23×Q8—111no—
851C23×D4—111no—
852C23×D4—111no—
853C23×D4—111no—
854C24×C4—111no—
855C24×C4—111no—
856C2×#124—111no—
857C2×#124—111no—
858C2×#124—111no—
859C2×#124—111no—
860C2×#124—111no—
861C2×#124—111no—
862C2×#124—111no—
863C2×#124—228no—
864C2×#124C2×D1111yescharacteristic, complemented
865C2×#123—111no—
866C2×#123—111no—
867C2×#123—111no—
868C2×#123—111no—
869C2×#123—111no—
870C2×#123—111no—
871C2×#123—111no—
872C2×#123—228no—
873C2×#123C2×D1111yescharacteristic, complemented
874C22×C4⋊C4—111no—
875C22×C4⋊C4—111no—
876C22×C4⋊C4—111no—
877C22×C22⋊C4—111no—
878C22×C22⋊C4—111no—
879C22×C22⋊C4—111no—
880C22×C22⋊C4—111no—
881C22×C22⋊C4—111no—
882C22×C22⋊C4—111no—
883C22×C22⋊C4—111no—
884C22×C22⋊C4—111no—
885C22×C22⋊C4—111no—
886C22×C22⋊C4—111no—
887C22×C22⋊C4—111no—
888C22×C22⋊C4—111no—
889C22×C22⋊C4—111no—
890C22×C42—111no—
891C22×C42—111no—
892C22×C42—111no—
893#397—111no—
894#397—111no—
895#397—111no—
896#397—111no—
897#397—111no—
898#397—111no—
899#397—111no—
900#397—111no—
901#397—111no—
902#397—111no—
903#397—111no—
904#397—111no—
905#397—111no—
906#397—111no—
907#397C2×D1111yescharacteristic, complemented
908#397C2×D1111yescharacteristic, complemented
909#393—111no—
910#393—111no—
911#393—111no—
912#393—111no—
913#393—111no—
914#393—111no—
915#393—111no—
916#393C2×D1111yescharacteristic, complemented
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392C2×D1111yescharacteristic
925#391—111no—
926#391—111no—
927#391—111no—
928#391—111no—
929#391—111no—
930#391—111no—
931#391—111no—
932#391C2×D1111yescharacteristic, complemented
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390C2×D1111yescharacteristic, complemented
941#388—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388C2×D1111yescharacteristic, complemented
949#387—111no—
950#387—111no—
951#387—111no—
952#387—111no—
953#387—111no—
954#387—111no—
955#387—111no—
956#387C2×D1111yescharacteristic, complemented
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—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#386C2×D1111yescharacteristic, complemented
979#386C2×D1111yescharacteristic, complemented
980#386C2×D1111yescharacteristic, complemented
981C4×C22⋊C4—111no—
982C4×C22⋊C4—111no—
983C4×C22⋊C4—111no—
984C4×C22⋊C4—111no—
985C4×C22⋊C4—111no—
986C4×C22⋊C4—111no—
987C4×C22⋊C4—111no—
988C4×C22⋊C4—111no—
989C4×C22⋊C4—111no—
990C4×C22⋊C4—111no—
991C4×C22⋊C4—111no—
992C4×C22⋊C4—111no—
993C4×C22⋊C4—111no—
994C4×C22⋊C4—111no—
995C4×C22⋊C4C2×D1111yescharacteristic, complemented
996C4×C22⋊C4C2×D1111yescharacteristic, complemented
997C2×#95—111no—
998C2×#95—111no—
999C2×#95—111no—
1000C2×#95—111no—
1001C2×#95—111no—
1002C2×#95—111no—
1003C2×#95—111no—
1004C2×#95—111no—
1005C2×#95—111no—
1006C2×#95—111no—
1007C22×C11—22no—
1008C22×C11—22no—
1009C22×C11—22no—
1010C22×C11—22no—
1011C22×C11—22no—
1012C22×C11—22no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11C23×D411yescharacteristic
1029C22×C11C22×#4111yescharacteristic
1030C22×C11C22×#4111yescharacteristic
1031C22×C11C22×#4111yescharacteristic
1032C22×C11C22×#4111yescharacteristic
1033C22×C11C2×H(5,𝔽2)11yescharacteristic
1034C22×C11C2×H(5,𝔽2)11yescharacteristic
1035C2×D11—22no—
1036C2×D11—22no—
1037C2×D11—22no—
1038C2×D11—22no—
1039C2×D11—22no—
1040C2×D11—22no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—416no—
1050C2×D11—416no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—88no—
1059C2×D11#52914yes—
1060C2×D11#53214yes—
1061C2×D11#53814yes—
1062C2×D11#54614yes—
1063C2×D11#54614yes—
1064C2×D11#55114yes—
1065C2×D11#55914yes—
1066C4×C11—22no—
1067C4×C11—22no—
1068C4×C11—22no—
1069C4×C11—22no—
1070C4×C11—22no—
1071C4×C11—41no—
1072C4×C11—41no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078Dic11—22no—
1079Dic11—22no—
1080Dic11—22no—
1081Dic11—22no—
1082Dic11—22no—
1083Dic11—41no—
1084Dic11—41no—
1085Dic11—41no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090C25—111no—
1091C25—111no—
1092C25—111no—
1093C22×Q8—111no—
1094C22×Q8—111no—
1095C22×Q8—111no—
1096C22×Q8—224no—
1097C22×Q8—224no—
1098C22×Q8—442no—
1099C22×Q8C22×D1111yescharacteristic
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C22×D4—224no—
1110C22×D4—224no—
1111C22×D4—224no—
1112C22×D4—224no—
1113C22×D4—224no—
1114C22×D4—224no—
1115C22×D4—442no—
1116C22×D4—442no—
1117C22×D4—442no—
1118C22×D4C22×D1111yescharacteristic
1119C22×D4C22×D1111yescharacteristic
1120C22×D4C22×D1111yescharacteristic
1121C23×C4—111no—
1122C23×C4—111no—
1123C23×C4—111no—
1124C23×C4—111no—
1125C23×C4—111no—
1126C23×C4—111no—
1127C23×C4—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—111no—
1131C23×C4—111no—
1132C23×C4—111no—
1133C23×C4—111no—
1134C23×C4—111no—
1135C23×C4—111no—
1136C23×C4—111no—
1137C23×C4—111no—
1138C23×C4—111no—
1139C23×C4—224no—
1140C23×C4—224no—
1141C23×C4—224no—
1142C23×C4—442no—
1143C23×C4—442no—
1144C23×C4—442no—
1145C23×C4C22×D1111yescharacteristic
1146C23×C4C22×D1111yescharacteristic
1147#124—24no—
1148#124—224no—
1149#124—224no—
1150#124—224no—
1151#124—224no—
1152#124—224no—
1153#124—224no—
1154#124—224no—
1155#123—24no—
1156#123—224no—
1157#123—224no—
1158#123—224no—
1159#123—224no—
1160#123—224no—
1161#123—224no—
1162#123—224no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—224no—
1173C2×C4⋊C4—224no—
1174C2×C4⋊C4—224no—
1175C2×C4⋊C4C22×D1111yescharacteristic
1176C2×C4⋊C4C22×D1111yescharacteristic
1177C2×C4⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—118no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—224no—
1219C2×C22⋊C4—224no—
1220C2×C22⋊C4—224no—
1221C2×C22⋊C4—224no—
1222C2×C22⋊C4—224no—
1223C2×C22⋊C4—224no—
1224C2×C22⋊C4—224no—
1225C2×C22⋊C4—224no—
1226C2×C22⋊C4—224no—
1227C2×C22⋊C4—442no—
1228C2×C22⋊C4—442no—
1229C2×C22⋊C4—442no—
1230C2×C22⋊C4C22×D1111yescharacteristic
1231C2×C22⋊C4C22×D1111yescharacteristic
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42—224no—
1253C2×C42—442no—
1254C2×C42—442no—
1255C2×C42C22×D1111yescharacteristic
1256C2×C42C22×D1111yescharacteristic
1257C2×C42C22×D1111yescharacteristic
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95—111no—
1279#95—111no—
1280#95—111no—
1281#95—111no—
1282#95—111no—
1283#95—111no—
1284#95—111no—
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95C22×D1111yescharacteristic
1289#95C22×D1111yescharacteristic
1290#95C22×D1111yescharacteristic
1291#95C22×D1111yescharacteristic
1292#95C22×D1111yescharacteristic
1293#95C22×D1111yescharacteristic
1294#95C22×D1111yescharacteristic
1295#95C22×D1111yescharacteristic
1296#95C22×D1111yescharacteristic
1297#95C22×D1111yescharacteristic
1298C2×C11—42no—
1299C2×C11—42no—
1300C2×C11—81no—
1301C2×C11C2×#52911yescharacteristic
1302C2×C11C2×#53211yescharacteristic
1303C2×C11C2×#53811yescharacteristic
1304C2×C11C2×#54611yescharacteristic
1305C2×C11C2×#54611yescharacteristic
1306C2×C11C2×#55111yescharacteristic
1307C2×C11C2×#55911yescharacteristic
1308D11—42no—
1309D11—42no—
1310D11—81no—
1311D11#255718yesdirect product factor
1312C24—111no—
1313C24—114no—
1314C24—114no—
1315C24—111no—
1316C24—111no—
1317C24—111no—
1318C24—222no—
1319C24—222no—
1320C24—222no—
1321C24—222no—
1322C24—222no—
1323C24—222no—
1324C24—222no—
1325C24—222no—
1326C24—222no—
1327C24—222no—
1328C24—222no—
1329C24—222no—
1330C24—222no—
1331C24—222no—
1332C24—222no—
1333C24—222no—
1334C24—222no—
1335C24—222no—
1336C24—222no—
1337C24C23×D1111yescharacteristic
1338C24C23×D1111yescharacteristic
1339C24C23×D1111yescharacteristic
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—222no—
1344C2×Q8—222no—
1345C2×Q8—222no—
1346C2×Q8—222no—
1347C2×Q8—222no—
1348C2×Q8—222no—
1349C2×Q8—441no—
1350C2×Q8—441no—
1351C2×Q8—441no—
1352C2×Q8—4416no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—4416no—
1384C2×D4—4416no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—4416no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—114no—
1404C22×C4—114no—
1405C22×C4—114no—
1406C22×C4—114no—
1407C22×C4—114no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—222no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—222no—
1425C22×C4—222no—
1426C22×C4—222no—
1427C22×C4—222no—
1428C22×C4—222no—
1429C22×C4—222no—
1430C22×C4—222no—
1431C22×C4—222no—
1432C22×C4—222no—
1433C22×C4—222no—
1434C22×C4—222no—
1435C22×C4—222no—
1436C22×C4—222no—
1437C22×C4—222no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—222no—
1441C22×C4—222no—
1442C22×C4—222no—
1443C22×C4—222no—
1444C22×C4—222no—
1445C22×C4—222no—
1446C22×C4—222no—
1447C22×C4—222no—
1448C22×C4—222no—
1449C22×C4—222no—
1450C22×C4—222no—
1451C22×C4—222no—
1452C22×C4—222no—
1453C22×C4—222no—
1454C22×C4—222no—
1455C22×C4—441no—
1456C22×C4—441no—
1457C22×C4—441no—
1458C22×C4—441no—
1459C22×C4—441no—
1460C22×C4—441no—
1461C22×C4—4416no—
1462C22×C4—4416no—
1463C22×C4—441no—
1464C22×C4—441no—
1465C22×C4—441no—
1466C22×C4C23×D1111yescharacteristic
1467C22×C4C23×D1111yescharacteristic
1468C22×C4C23×D1111yescharacteristic
1469C22×C4C23×D1111yescharacteristic
1470C22×C4C23×D1111yescharacteristic
1471C22×C4C23×D1111yescharacteristic
1472C22×C4C23×D1111yescharacteristic
1473C22×C4C23×D1111yescharacteristic
1474C22×C4C23×D1111yescharacteristic
1475C22×C4C23×D1111yescharacteristic
1476C22×C4C23×D1111yescharacteristic
1477C22×C4C23×D1111yescharacteristic
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—222no—
1482C4⋊C4—222no—
1483C4⋊C4—222no—
1484C4⋊C4—222no—
1485C4⋊C4—222no—
1486C4⋊C4—222no—
1487C4⋊C4—222no—
1488C4⋊C4—222no—
1489C4⋊C4—222no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—114no—
1503C22⋊C4—114no—
1504C22⋊C4—114no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—222no—
1516C22⋊C4—222no—
1517C22⋊C4—222no—
1518C22⋊C4—222no—
1519C22⋊C4—222no—
1520C22⋊C4—222no—
1521C22⋊C4—222no—
1522C22⋊C4—222no—
1523C22⋊C4—222no—
1524C22⋊C4—222no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—222no—
1530C22⋊C4—222no—
1531C22⋊C4—222no—
1532C22⋊C4—441no—
1533C22⋊C4—441no—
1534C22⋊C4—441no—
1535C22⋊C4—441no—
1536C22⋊C4—441no—
1537C22⋊C4—441no—
1538C22⋊C4—441no—
1539C22⋊C4—441no—
1540C22⋊C4—441no—
1541C22⋊C4D4×D1114yescomplemented
1542C42—22no—
1543C42—41no—
1544C42—41no—
1545C42—222no—
1546C42—222no—
1547C42—222no—
1548C42—441no—
1549C42—441no—
1550C42—441no—
1551C42—441no—
1552C42—441no—
1553C42—441no—
1554C11C2×#255711yescharacteristic, complemented, Sylow
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—112no—
1575C23—112no—
1576C23—112no—
1577C23—112no—
1578C23—112no—
1579C23—112no—
1580C23—112no—
1581C23—112no—
1582C23—112no—
1583C23—228no—
1584C23—228no—
1585C23—228no—
1586C23—228no—
1587C23—228no—
1588C23—228no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—221no—
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—444no—
1609C23—444no—
1610C23—444no—
1611C23—444no—
1612C23—444no—
1613C23—444no—
1614C23—444no—
1615C23—444no—
1616C23—444no—
1617C23—444no—
1618C23—444no—
1619C23—444no—
1620C23—444no—
1621C23—444no—
1622C23—444no—
1623C23C2×D4×D1112yes—
1624C23#41×D1112yes—
1625C23C24×D1111yescharacteristic
1626Q8—44no—
1627Q8—444no—
1628Q8—444no—
1629Q8—444no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—444no—
1634D4—444no—
1635D4—444no—
1636D4—444no—
1637D4—444no—
1638D4—444no—
1639D4—444no—
1640D4—444no—
1641D4—444no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—112no—
1676C2×C4—112no—
1677C2×C4—112no—
1678C2×C4—112no—
1679C2×C4—112no—
1680C2×C4—228no—
1681C2×C4—228no—
1682C2×C4—228no—
1683C2×C4—228no—
1684C2×C4—228no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—444no—
1717C2×C4—444no—
1718C2×C4—444no—
1719C2×C4—444no—
1720C2×C4—444no—
1721C2×C4—444no—
1722C2×C4—444no—
1723C2×C4—444no—
1724C2×C4—444no—
1725C2×C4—444no—
1726C2×C4—444no—
1727C2×C4—444no—
1728C2×C4—444no—
1729C2×C4C2×D4×D1112yes—
1730C2×C4C2×D4×D1112yes—
1731C2×C4#41×D1112yes—
1732C2×C4#41×D1112yes—
1733C2×C4#41×D1112yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—114no—
1756C22—114no—
1757C22—114no—
1758C22—114no—
1759C22—114no—
1760C22—114no—
1761C22—114no—
1762C22—222no—
1763C22—222no—
1764C22—222no—
1765C22—222no—
1766C22—222no—
1767C22—222no—
1768C22—4416no—
1769C22—4416no—
1770C22—441no—
1771C22—441no—
1772C22—441no—
1773C22—441no—
1774C22—441no—
1775C22—441no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—441no—
1783C22—441no—
1784C22—441no—
1785C22—888no—
1786C22C22×D4×D1111yescharacteristic
1787C22C2×#41×D1111yescharacteristic
1788C22C2×#41×D1111yescharacteristic
1789C22C2×#41×D1111yescharacteristic
1790C22C2×#41×D1111yescharacteristic
1791C22D11×H(5,𝔽2)11yescharacteristic
1792C22D11×H(5,𝔽2)11yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—222no—
1806C4—222no—
1807C4—222no—
1808C4—222no—
1809C4—222no—
1810C4—441no—
1811C4—441no—
1812C4—441no—
1813C4—441no—
1814C4—441no—
1815C4—441no—
1816C4—441no—
1817C2—42no—
1818C2—42no—
1819C2—81no—
1820C2—118no—
1821C2—442no—
1822C2—442no—
1823C2—881no—
1824C2D11×#52911yescharacteristic
1825C2D11×#53211yescharacteristic
1826C2D11×#53811yescharacteristic
1827C2D11×#54611yescharacteristic
1828C2D11×#54611yescharacteristic
1829C2D11×#55111yescharacteristic
1830C2D11×#55911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2557C2
prime radicalD11×#392C2
hypercenter#2557D11
hypocenterC11C2×#2557
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×D11×#124C2semidirect
2. C2×D11×#123C2semidirect
3. #13073722C2semidirect
4. #13073721C2semidirect
5. #13073720C2semidirect
6. #13073719C2semidirect
7. #13073718C2semidirect
8. #13073717C2semidirect
9. #13073716C2semidirect
10. #13073715C2semidirect
11. #13073714C2semidirect
12. #13073713C2semidirect
13. #13073712C2semidirect
14. #13073711C2semidirect
15. #13073710C2semidirect
16. #13073709C2semidirect
17. #13073708C2semidirect
18. D11×#397C2semidirect
19. D11×#397C2semidirect
20. D11×#393C2semidirect
22. D11×#391C2semidirect
23. D11×#390C2semidirect
24. D11×#388C2semidirect
25. D11×#387C2semidirect
26. D11×#386C2semidirect
27. D11×#386C2semidirect
28. D11×#386C2semidirect
29. C4×C22⋊C4×D11C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2557C2semidirect
38. C2×C11×#124C22semidirect
39. C2×C11×#123C22semidirect
40. C2×#67000C22semidirect
41. C2×#66989C22semidirect
42. C2×#66988C22semidirect
43. C2×#66982C22semidirect
46. C2×#66947C22semidirect
47. C2×#66947C22semidirect
51. C2×#66939C22semidirect
52. C2×#66938C22semidirect
53. C2×#66938C22semidirect
54. C2×#66938C22semidirect
55. C2×#66938C22semidirect
56. C2×#66936C22semidirect
57. C2×#66936C22semidirect
71. C2×#66928C22semidirect
75. C11×#397C22semidirect
76. C11×#397C22semidirect
77. C11×#393C22semidirect
79. C11×#391C22semidirect
80. C11×#390C22semidirect
81. C11×#388C22semidirect
82. C11×#387C22semidirect
83. C11×#386C22semidirect
84. C11×#386C22semidirect
85. C11×#386C22semidirect
86. C4×C11×C22⋊C4C22semidirect
87. C4×C11×C22⋊C4C22semidirect
88. #10622844C22semidirect
89. #10622843C22semidirect
93. #10622834C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622833C22semidirect
97. #10622826C22semidirect
98. #10622826C22semidirect
99. #10622826C22semidirect
100. C4×C22⋊Dic11C22semidirect
101. C4×C22⋊Dic11C22semidirect
102. #10622606C22semidirect
103. #10622606C22semidirect
104. #10622603C22semidirect
105. #10622601C22semidirect
106. #10622594C22semidirect
107. #10622591C22semidirect
108. #10622587C22semidirect
112. #10622571C22semidirect
113. #10622571C22semidirect
114. #10622571C22semidirect
115. #10622570C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
118. #10622570C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
123. #10622569C22semidirect
124. #10622569C22semidirect
125. #10622566C22semidirect
126. #10622566C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
131. #10622564C22semidirect
132. #10622560C22semidirect
133. #10622560C22semidirect
134. #10622560C22semidirect
135. #10622558C22semidirect
136. #10622557C22semidirect
137. C22⋊C4×Dic11C22semidirect
138. C22⋊C4×Dic11C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. #10622553C22semidirect
142. #10622552C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. #10622546C22semidirect
148. #10622542C22semidirect
149. #10622288C22semidirect
150. #10622288C22semidirect
151. #10622288C22semidirect
152. #10622288C22semidirect
153. #10622287C22semidirect
154. #10622287C22semidirect
155. #10622286C22semidirect
156. #10622286C22semidirect
157. #10622286C22semidirect
159. #10622283C22semidirect
160. #10622282C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
165. #10622278C22semidirect
166. #10622278C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
352. C22⋊C4×D11D4semidirect
579. C11×C22⋊C4C2×D4semidirect
595. C22⋊Dic11C2×D4semidirect
620. (C2×D11)⋊C4C2×D4semidirect
621. (C2×D11)⋊C4C2×D4semidirect
657. #2557D11direct (N × H)
864. C2×#124C2×D11semidirect
873. C2×#123C2×D11semidirect
907. #397C2×D11semidirect
908. #397C2×D11semidirect
916. #393C2×D11semidirect
932. #391C2×D11semidirect
940. #390C2×D11semidirect
948. #388C2×D11semidirect
956. #387C2×D11semidirect
978. #386C2×D11semidirect
979. #386C2×D11semidirect
980. #386C2×D11semidirect
995. C4×C22⋊C4C2×D11semidirect
996. C4×C22⋊C4C2×D11semidirect
1311. D11#2557direct (N × H)
1541. C22⋊C4D4×D11semidirect
1554. C11C2×#2557semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1242
C2×D11×#1232
#130737222
#130737212
#130737202
#130737192
#130737182
#130737172
#130737162
#130737152
#130737142
#130737132
#130737122
#130737112
#130737102
#130737092
#130737082
D11×#3972
D11×#3932
D11×#3922
D11×#3912
D11×#3902
D11×#3882
D11×#3872
D11×#3862
C4×C22⋊C4×D112
C11×#25572
C2×#255711