Finite Group Databasebeta

← D11×#2471 #14922339

Subgroups — D11×#2471 #14922339

Order 2816.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#123C211yesmaximal, characteristic, complemented
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13072734C211yesmaximal, characteristic, complemented
4#13072733C211yesmaximal, characteristic, complemented
5#13072732C211yesmaximal, characteristic, complemented
6#13072731C211yesmaximal, characteristic, complemented
7#13072730C211yesmaximal, characteristic, complemented
8#13072729C211yesmaximal, characteristic, complemented
9#13072728C211yesmaximal, characteristic, complemented
10#13072727C211yesmaximal, characteristic, complemented
11#13072726C211yesmaximal, characteristic, complemented
12#13072725C211yesmaximal, characteristic, complemented
13#13072724C211yesmaximal, characteristic, complemented
14#13072723C211yesmaximal, characteristic, complemented
15#13072722C211yesmaximal, characteristic, complemented
16#13072721C211yesmaximal, characteristic, complemented
17#13072720C211yesmaximal, characteristic, complemented
18D11×#399C211yesmaximal, characteristic, complemented
19D11×#397C211yesmaximal, characteristic, complemented
20D11×#396C211yesmaximal, characteristic, complemented
21D11×#392C211yesmaximal, characteristic
22D11×#390C211yesmaximal, characteristic, complemented
23D11×#390C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2471C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic, complemented
38C2×C11×#117C2211yescharacteristic, complemented
39C2×#66988C2211yescharacteristic, complemented
40C2×#66982C2211yescharacteristic, complemented
41C2×#66979C2211yescharacteristic, complemented
42D11×#123—28no—
43D11×#117—28no—
44C2×#66947C2211yescharacteristic, complemented
45C2×#66947C2211yescharacteristic, complemented
46C2×#66945C2211yescharacteristic, complemented
47C2×#66945C2211yescharacteristic, complemented
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×#66939C2211yescharacteristic, complemented
55C2×#66936C2211yescharacteristic, complemented
56C2×#66936C2211yescharacteristic, complemented
57C2×C22⋊C4×D11C2211yescharacteristic
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×#66930C2211yescharacteristic, complemented
71C2×#66930C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×#66925C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×C42×D11C2211yescharacteristic
77C11×#399C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#392C2211yescharacteristic
81C11×#390C2211yescharacteristic, complemented
82C11×#390C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#387C2211yescharacteristic, complemented
85C11×#387C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic, complemented
89C4×C11×C22⋊C4C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622834C2211yescharacteristic, complemented
94#10622834C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622826C2211yescharacteristic, complemented
99#10622826C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic, complemented
101C4×C22⋊Dic11C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic, complemented
103#10622607C2211yescharacteristic, complemented
104#10622607C2211yescharacteristic, complemented
105#10622606C2211yescharacteristic, complemented
106#10622605C2211yescharacteristic, complemented
107#10622605C2211yescharacteristic, complemented
108#10622605C2211yescharacteristic, complemented
109#10622603C2211yescharacteristic, complemented
110#10622601C2211yescharacteristic, complemented
111#10622601C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622591C2211yescharacteristic, complemented
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622571C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic, complemented
124#10622570C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic, complemented
126#10622570C2211yescharacteristic, complemented
127#10622570C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic, complemented
129#10622570C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622566C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622562C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic, complemented
142#10622562C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622552C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic, complemented
153C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622290C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622288C2211yescharacteristic, complemented
161#10622287C2211yescharacteristic, complemented
162#10622284C2211yescharacteristic
163#10622283C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180D11×#95C2211yescharacteristic
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C2×D4×D11—24no—
206C2×D4×D11—24no—
207C2×D4×D11—24no—
208C2×D4×D11—24no—
209C2×D4×D11—24no—
210C2×D4×D11—24no—
211C2×D4×D11—42no—
212C2×D4×D11—42no—
213C2×D4×D11—42no—
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—24no—
218C22×C4×D11—24no—
219C22×C4×D11—24no—
220C22×C4×D11—24no—
221C22×C4×D11—24no—
222C22×C4×D11—42no—
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C11×#123—24no—
240C11×#117—24no—
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
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⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276#66988—24no—
277#66982—24no—
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
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
304#66979—24no—
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66947—24no—
333#66947—24no—
334#66945—24no—
335#66945—24no—
336C4⋊C4×D11—24no—
337C4⋊C4×D11—24no—
338C4⋊C4×D11—24no—
339C4⋊C4×D11—42no—
340C4⋊C4×D11—42no—
341C4⋊C4×D11D418yescomplemented
342#66939—24no—
343#66936—24no—
344#66936—24no—
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349C22⋊C4×D11—24no—
350C22⋊C4×D11—24no—
351C22⋊C4×D11—24no—
352C22⋊C4×D11—24no—
353C22⋊C4×D11—42no—
354C22⋊C4×D11—42no—
355C22⋊C4×D11—42no—
356C22⋊C4×D11—42no—
357C22⋊C4×D11—42no—
358#66930—24no—
359#66930—24no—
360#66925—24no—
361#66925—24no—
362C42×D11—24no—
363C42×D11—24no—
364C42×D11—42no—
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×#2471—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×D11#4114yes—
421C23×D11#4114yes—
422C23×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—41no—
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
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
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—41no—
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489D4×D11—416no—
490D4×D11—416no—
491D4×D11—416no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×C4×D11—232no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—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—22no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11—416no—
546C2×C4×D11C2×D414yes—
547C2×C4×D11C2×D414yes—
548C2×C4×D11C2×D414yes—
549C2×C4×D11#4114yes—
550C2×C4×D11#4114yes—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—22no—
553C11×C4⋊C4—22no—
554C11×C4⋊C4—41no—
555C11×C4⋊C4—41no—
556C11×C4⋊C4C2×D414yescomplemented
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4—41no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4—41no—
570C42×C11—22no—
571C42×C11—22no—
572C42×C11—41no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—22no—
580C22⋊Dic11—22no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
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—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—41no—
616C4⋊Dic11—41no—
617C4⋊Dic11C2×D414yescomplemented
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4C2×D414yescomplemented
629Dic11⋊C4C2×D414yescomplemented
630C4×Dic11—22no—
631C4×Dic11—22no—
632C4×Dic11—22no—
633C4×Dic11—22no—
634C4×Dic11—22no—
635C4×Dic11—22no—
636C4×Dic11—41no—
637C4×Dic11—41no—
638C4×Dic11—41no—
639C22×#123—111no—
640C22×#117—111no—
641#2471—111no—
642#2471—111no—
643#2471—111no—
644#2471—111no—
645#2471—111no—
646#2471—111no—
647#2471—111no—
648#2471—111no—
649#2471—111no—
650#2471—111no—
651#2471—111no—
652#2471—111no—
653#2471—111no—
654#2471—111no—
655#2471—111no—
656#2471D1111yescharacteristic, direct product factor
657C2×#399—111no—
658C2×#397—111no—
659C2×#396—111no—
660C2×#392—111no—
661C2×#390—111no—
662C2×#390—111no—
663C2×#388—111no—
664C2×#387—111no—
665C2×#387—111no—
666C2×#386—111no—
667C2×#386—111no—
668C2×#386—111no—
669C2×C4×C22⋊C4—111no—
670C23×C11—21no—
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×C11C2×#4112yes—
690C23×C11C2×#4112yes—
691C23×C11C2511yescharacteristic
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—28no—
705C22×D11—28no—
706C22×D11—28no—
707C22×D11—28no—
708C22×D11—28no—
709C22×D11—28no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
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×D11C22×D412yes—
733C22×D11C2×#4112yes—
734C22×D11C2×#4112yes—
735C22×D11C2×#4112yes—
736C22×D11C2×#4112yes—
737C22×D11C2×#4112yes—
738C22×D11C2×#4112yes—
739C22×D11H(5,𝔽2)12yes—
740C22×D11H(5,𝔽2)12yes—
741D4×C11—44no—
742D4×C11—44no—
743D4×C11—44no—
744C2×C4×C11—28no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—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—44no—
777C2×C4×C11C22×D412yes—
778C2×C4×C11C22×D412yes—
779C2×C4×C11C22×D412yes—
780C2×C4×C11C2×#4112yes—
781C2×C4×C11C2×#4112yes—
782C22⋊D11—44no—
783C22⋊D11—44no—
784C22⋊D11—44no—
785C22⋊D11—44no—
786C22⋊D11—44no—
787C22⋊D11—44no—
788C2×Dic11—28no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—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—44no—
821C2×Dic11C22×D412yes—
822C2×Dic11C22×D412yes—
823C2×Dic11C22×D412yes—
824C2×Dic11C2×#4112yes—
825C2×Dic11C2×#4112yes—
826D44—44no—
827D44—44no—
828D44—44no—
829C4×D11—28no—
830C4×D11—28no—
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—
845C23×D4—111no—
846C23×D4—111no—
847C23×D4—111no—
848C24×C4—111no—
849C24×C4—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×#123—111no—
854C2×#123—111no—
855C2×#123—111no—
856C2×#123—111no—
857C2×#123—228no—
858C2×#123C2×D1111yescharacteristic, complemented
859C2×#117—111no—
860C2×#117—111no—
861C2×#117—111no—
862C2×#117—111no—
863C2×#117—111no—
864C2×#117—111no—
865C2×#117—111no—
866C2×#117—228no—
867C2×#117C2×D1111yescharacteristic, complemented
868C22×C4⋊C4—111no—
869C22×C4⋊C4—111no—
870C22×C4⋊C4—111no—
871C22×C4⋊C4—111no—
872C22×C4⋊C4—111no—
873C22×C4⋊C4—111no—
874C22×C22⋊C4—111no—
875C22×C22⋊C4—111no—
876C22×C22⋊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×C42—111no—
888C22×C42—111no—
889C22×C42—111no—
890#399—111no—
891#399—111no—
892#399—111no—
893#399—111no—
894#399—111no—
895#399—111no—
896#399—111no—
897#399C2×D1111yescharacteristic, complemented
898#397—111no—
899#397—111no—
900#397—111no—
901#397—111no—
902#397—111no—
903#397—111no—
904#397—111no—
905#397C2×D1111yescharacteristic, complemented
906#396—111no—
907#396—111no—
908#396—111no—
909#396—111no—
910#396—111no—
911#396—111no—
912#396—111no—
913#396C2×D1111yescharacteristic, complemented
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392C2×D1111yescharacteristic
922#390—111no—
923#390—111no—
924#390—111no—
925#390—111no—
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390C2×D1111yescharacteristic, complemented
937#390C2×D1111yescharacteristic, complemented
938#388—111no—
939#388—111no—
940#388—111no—
941#388—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388C2×D1111yescharacteristic, complemented
946#387—111no—
947#387—111no—
948#387—111no—
949#387—111no—
950#387—111no—
951#387—111no—
952#387—111no—
953#387—111no—
954#387—111no—
955#387—111no—
956#387—111no—
957#387—111no—
958#387—111no—
959#387—111no—
960#387C2×D1111yescharacteristic, complemented
961#387C2×D1111yescharacteristic, complemented
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#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386C2×D1111yescharacteristic, complemented
984#386C2×D1111yescharacteristic, complemented
985#386C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
994C2×#95—111no—
995C2×#95—111no—
996C2×#95—111no—
997C2×#95—111no—
998C2×#95—111no—
999C2×#95—111no—
1000C2×#95—111no—
1001C2×#95—111no—
1002C22×C11—22no—
1003C22×C11—22no—
1004C22×C11—22no—
1005C22×C11—22no—
1006C22×C11—22no—
1007C22×C11—22no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
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×C11C23×D411yescharacteristic
1024C22×C11C22×#4111yescharacteristic
1025C22×C11C22×#4111yescharacteristic
1026C22×C11C22×#4111yescharacteristic
1027C22×C11C22×#4111yescharacteristic
1028C22×C11C2×H(5,𝔽2)11yescharacteristic
1029C22×C11C2×H(5,𝔽2)11yescharacteristic
1030C2×D11—22no—
1031C2×D11—22no—
1032C2×D11—22no—
1033C2×D11—22no—
1034C2×D11—22no—
1035C2×D11—22no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—416no—
1045C2×D11—416no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—88no—
1054C2×D11#52514yes—
1055C2×D11#52914yes—
1056C2×D11#54014yes—
1057C2×D11#54614yes—
1058C2×D11#55014yes—
1059C2×D11#55114yes—
1060C2×D11#55114yes—
1061C4×C11—22no—
1062C4×C11—22no—
1063C4×C11—22no—
1064C4×C11—22no—
1065C4×C11—22no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072C4×C11—41no—
1073Dic11—22no—
1074Dic11—22no—
1075Dic11—22no—
1076Dic11—22no—
1077Dic11—22no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084Dic11—41no—
1085C25—111no—
1086C25—111no—
1087C25—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—224no—
1098C22×D4—224no—
1099C22×D4—224no—
1100C22×D4—224no—
1101C22×D4—224no—
1102C22×D4—224no—
1103C22×D4—442no—
1104C22×D4—442no—
1105C22×D4—442no—
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—111no—
1121C23×C4—111no—
1122C23×C4—111no—
1123C23×C4—111no—
1124C23×C4—111no—
1125C23×C4—111no—
1126C23×C4—111no—
1127C23×C4—224no—
1128C23×C4—224no—
1129C23×C4—224no—
1130C23×C4—224no—
1131C23×C4—224no—
1132C23×C4—442no—
1133C23×C4C22×D1111yescharacteristic
1134C23×C4C22×D1111yescharacteristic
1135#123—24no—
1136#123—224no—
1137#123—224no—
1138#123—224no—
1139#123—224no—
1140#123—224no—
1141#123—224no—
1142#123—224no—
1143#117—24no—
1144#117—224no—
1145#117—224no—
1146#117—224no—
1147#117—224no—
1148#117—224no—
1149#117—224no—
1150#117—224no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—118no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
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—224no—
1171C2×C4⋊C4—224no—
1172C2×C4⋊C4—224no—
1173C2×C4⋊C4—442no—
1174C2×C4⋊C4—442no—
1175C2×C4⋊C4C22×D1111yescharacteristic
1176C2×C4⋊C4C22×D1111yescharacteristic
1177C2×C4⋊C4C22×D1111yescharacteristic
1178C2×C4⋊C4C22×D1111yescharacteristic
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—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—111no—
1219C2×C22⋊C4—111no—
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—224no—
1228C2×C22⋊C4—442no—
1229C2×C22⋊C4—442no—
1230C2×C22⋊C4—442no—
1231C2×C22⋊C4—442no—
1232C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42—111no—
1253C2×C42—111no—
1254C2×C42—111no—
1255C2×C42—224no—
1256C2×C42—224no—
1257C2×C42—442no—
1258C2×C42C22×D1111yescharacteristic
1259C2×C42C22×D1111yescharacteristic
1260C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1286#95C22×D1111yescharacteristic
1287#95C22×D1111yescharacteristic
1288#95C22×D1111yescharacteristic
1289#95C22×D1111yescharacteristic
1290#95C22×D1111yescharacteristic
1291#95C22×D1111yescharacteristic
1292#95C22×D1111yescharacteristic
1293C2×C11—42no—
1294C2×C11—42no—
1295C2×C11—81no—
1296C2×C11C2×#52511yescharacteristic
1297C2×C11C2×#52911yescharacteristic
1298C2×C11C2×#54011yescharacteristic
1299C2×C11C2×#54611yescharacteristic
1300C2×C11C2×#55011yescharacteristic
1301C2×C11C2×#55111yescharacteristic
1302C2×C11C2×#55111yescharacteristic
1303D11—42no—
1304D11—42no—
1305D11—81no—
1306D11#247118yesdirect product factor
1307C24—111no—
1308C24—114no—
1309C24—114no—
1310C24—111no—
1311C24—111no—
1312C24—111no—
1313C24—222no—
1314C24—222no—
1315C24—222no—
1316C24—222no—
1317C24—222no—
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—
1332C24C23×D1111yescharacteristic
1333C24C23×D1111yescharacteristic
1334C24C23×D1111yescharacteristic
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—4416no—
1366C2×D4—4416no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—4416no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—41no—
1380C22×C4—111no—
1381C22×C4—111no—
1382C22×C4—111no—
1383C22×C4—111no—
1384C22×C4—111no—
1385C22×C4—114no—
1386C22×C4—114no—
1387C22×C4—114no—
1388C22×C4—114no—
1389C22×C4—114no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—222no—
1398C22×C4—222no—
1399C22×C4—222no—
1400C22×C4—222no—
1401C22×C4—222no—
1402C22×C4—222no—
1403C22×C4—222no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—2232no—
1413C22×C4—222no—
1414C22×C4—222no—
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—441no—
1445C22×C4—441no—
1446C22×C4—4416no—
1447C22×C4—441no—
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C22×C4C23×D1111yescharacteristic
1453C22×C4C23×D1111yescharacteristic
1454C22×C4C23×D1111yescharacteristic
1455C22×C4C23×D1111yescharacteristic
1456C22×C4C23×D1111yescharacteristic
1457C22×C4C23×D1111yescharacteristic
1458C22×C4C23×D1111yescharacteristic
1459C22×C4C23×D1111yescharacteristic
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—114no—
1466C4⋊C4—114no—
1467C4⋊C4—114no—
1468C4⋊C4—222no—
1469C4⋊C4—222no—
1470C4⋊C4—222no—
1471C4⋊C4—222no—
1472C4⋊C4—222no—
1473C4⋊C4—222no—
1474C4⋊C4—222no—
1475C4⋊C4—222no—
1476C4⋊C4—222no—
1477C4⋊C4—441no—
1478C4⋊C4—441no—
1479C4⋊C4—441no—
1480C4⋊C4—441no—
1481C4⋊C4—441no—
1482C4⋊C4—441no—
1483C4⋊C4D4×D1114yescomplemented
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
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—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C22⋊C4—441no—
1533C22⋊C4—441no—
1534C22⋊C4—441no—
1535C22⋊C4—441no—
1536C42—22no—
1537C42—22no—
1538C42—41no—
1539C42—222no—
1540C42—222no—
1541C42—222no—
1542C42—222no—
1543C42—222no—
1544C42—222no—
1545C42—441no—
1546C42—441no—
1547C42—441no—
1548C11C2×#247111yescharacteristic, complemented, Sylow
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
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—112no—
1569C23—112no—
1570C23—112no—
1571C23—112no—
1572C23—112no—
1573C23—112no—
1574C23—112no—
1575C23—112no—
1576C23—112no—
1577C23—228no—
1578C23—228no—
1579C23—228no—
1580C23—228no—
1581C23—228no—
1582C23—228no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
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—444no—
1603C23—444no—
1604C23—444no—
1605C23—444no—
1606C23—444no—
1607C23—444no—
1608C23—444no—
1609C23—444no—
1610C23—444no—
1611C23—444no—
1612C23—444no—
1613C23—444no—
1614C23—444no—
1615C23—444no—
1616C23—444no—
1617C23#41×D1112yes—
1618C23#41×D1112yes—
1619C23C24×D1111yescharacteristic
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—444no—
1627D4—444no—
1628D4—444no—
1629D4—444no—
1630D4—444no—
1631D4—444no—
1632C2×C4—28no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
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—44no—
1665C2×C4—112no—
1666C2×C4—112no—
1667C2×C4—112no—
1668C2×C4—112no—
1669C2×C4—112no—
1670C2×C4—228no—
1671C2×C4—228no—
1672C2×C4—228no—
1673C2×C4—228no—
1674C2×C4—228no—
1675C2×C4—228no—
1676C2×C4—228no—
1677C2×C4—228no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
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—444no—
1710C2×C4—444no—
1711C2×C4—444no—
1712C2×C4—444no—
1713C2×C4—444no—
1714C2×C4—444no—
1715C2×C4—444no—
1716C2×C4—444no—
1717C2×C4—444no—
1718C2×C4—444no—
1719C2×C4C2×D4×D1112yes—
1720C2×C4C2×D4×D1112yes—
1721C2×C4C2×D4×D1112yes—
1722C2×C4#41×D1112yes—
1723C2×C4#41×D1112yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—114no—
1746C22—114no—
1747C22—114no—
1748C22—114no—
1749C22—114no—
1750C22—114no—
1751C22—114no—
1752C22—222no—
1753C22—222no—
1754C22—222no—
1755C22—222no—
1756C22—222no—
1757C22—222no—
1758C22—4416no—
1759C22—4416no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—441no—
1772C22—441no—
1773C22—441no—
1774C22—441no—
1775C22—888no—
1776C22C22×D4×D1111yescharacteristic
1777C22C2×#41×D1111yescharacteristic
1778C22C2×#41×D1111yescharacteristic
1779C22C2×#41×D1111yescharacteristic
1780C22C2×#41×D1111yescharacteristic
1781C22D11×H(5,𝔽2)11yescharacteristic
1782C22D11×H(5,𝔽2)11yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—222no—
1796C4—222no—
1797C4—222no—
1798C4—222no—
1799C4—222no—
1800C4—441no—
1801C4—441no—
1802C4—441no—
1803C4—441no—
1804C4—441no—
1805C4—441no—
1806C4—441no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—118no—
1811C2—442no—
1812C2—442no—
1813C2—881no—
1814C2D11×#52511yescharacteristic
1815C2D11×#52911yescharacteristic
1816C2D11×#54011yescharacteristic
1817C2D11×#54611yescharacteristic
1818C2D11×#55011yescharacteristic
1819C2D11×#55111yescharacteristic
1820C2D11×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2471C2
prime radicalD11×#392C2
hypercenter#2471D11
hypocenterC11C2×#2471
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. C2×D11×#123C2semidirect
2. C2×D11×#117C2semidirect
3. #13072734C2semidirect
4. #13072733C2semidirect
5. #13072732C2semidirect
6. #13072731C2semidirect
7. #13072730C2semidirect
8. #13072729C2semidirect
9. #13072728C2semidirect
10. #13072727C2semidirect
11. #13072726C2semidirect
12. #13072725C2semidirect
13. #13072724C2semidirect
14. #13072723C2semidirect
15. #13072722C2semidirect
16. #13072721C2semidirect
17. #13072720C2semidirect
18. D11×#399C2semidirect
19. D11×#397C2semidirect
20. D11×#396C2semidirect
22. D11×#390C2semidirect
23. D11×#390C2semidirect
24. D11×#388C2semidirect
25. D11×#387C2semidirect
26. D11×#387C2semidirect
27. D11×#386C2semidirect
28. D11×#386C2semidirect
29. D11×#386C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2471C2semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×#117C22semidirect
39. C2×#66988C22semidirect
40. C2×#66982C22semidirect
41. C2×#66979C22semidirect
44. C2×#66947C22semidirect
45. C2×#66947C22semidirect
46. C2×#66945C22semidirect
47. C2×#66945C22semidirect
54. C2×#66939C22semidirect
55. C2×#66936C22semidirect
56. C2×#66936C22semidirect
70. C2×#66930C22semidirect
71. C2×#66930C22semidirect
72. C2×#66925C22semidirect
73. C2×#66925C22semidirect
77. C11×#399C22semidirect
78. C11×#397C22semidirect
79. C11×#396C22semidirect
81. C11×#390C22semidirect
82. C11×#390C22semidirect
83. C11×#388C22semidirect
84. C11×#387C22semidirect
85. C11×#387C22semidirect
86. C11×#386C22semidirect
87. C11×#386C22semidirect
88. C11×#386C22semidirect
89. C4×C11×C22⋊C4C22semidirect
93. #10622834C22semidirect
94. #10622834C22semidirect
95. #10622833C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
98. #10622826C22semidirect
99. #10622826C22semidirect
100. #10622826C22semidirect
101. C4×C22⋊Dic11C22semidirect
102. #10622607C22semidirect
103. #10622607C22semidirect
104. #10622607C22semidirect
105. #10622606C22semidirect
106. #10622605C22semidirect
107. #10622605C22semidirect
108. #10622605C22semidirect
109. #10622603C22semidirect
110. #10622601C22semidirect
111. #10622601C22semidirect
112. #10622594C22semidirect
113. #10622594C22semidirect
114. #10622591C22semidirect
115. #10622591C22semidirect
119. #10622571C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
122. #10622570C22semidirect
123. #10622570C22semidirect
124. #10622570C22semidirect
125. #10622570C22semidirect
126. #10622570C22semidirect
127. #10622570C22semidirect
128. #10622570C22semidirect
129. #10622570C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
132. #10622569C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
136. #10622566C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
139. #10622564C22semidirect
140. #10622562C22semidirect
141. #10622562C22semidirect
142. #10622562C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622561C22semidirect
146. #10622558C22semidirect
147. #10622557C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. #10622553C22semidirect
151. #10622552C22semidirect
152. #10622552C22semidirect
153. C4×(C2×D11)⋊C4C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. #10622546C22semidirect
156. #10622546C22semidirect
157. #10622290C22semidirect
158. #10622289C22semidirect
159. #10622288C22semidirect
160. #10622288C22semidirect
161. #10622287C22semidirect
163. #10622283C22semidirect
164. #10622282C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622266C22semidirect
187. #10622265C22semidirect
188. #10622265C22semidirect
341. C4⋊C4×D11D4semidirect
556. C11×C4⋊C4C2×D4semidirect
617. C4⋊Dic11C2×D4semidirect
628. Dic11⋊C4C2×D4semidirect
629. Dic11⋊C4C2×D4semidirect
656. #2471D11direct (N × H)
858. C2×#123C2×D11semidirect
867. C2×#117C2×D11semidirect
897. #399C2×D11semidirect
905. #397C2×D11semidirect
913. #396C2×D11semidirect
936. #390C2×D11semidirect
937. #390C2×D11semidirect
945. #388C2×D11semidirect
960. #387C2×D11semidirect
961. #387C2×D11semidirect
983. #386C2×D11semidirect
984. #386C2×D11semidirect
985. #386C2×D11semidirect
993. C4×C22⋊C4C2×D11semidirect
1306. D11#2471direct (N × H)
1483. C4⋊C4D4×D11semidirect
1548. C11C2×#2471semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1232
C2×D11×#1172
#130727342
#130727332
#130727322
#130727312
#130727302
#130727292
#130727282
#130727272
#130727262
#130727252
#130727242
#130727232
#130727222
#130727212
#130727202
D11×#3992
D11×#3972
D11×#3962
D11×#3922
D11×#3902
D11×#3882
D11×#3872
D11×#3862
C4×C22⋊C4×D112
C11×#24712
C2×#247111