Finite Group Databasebeta

← D11×#2558 #14923910

Subgroups — D11×#2558 #14923910

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#125C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic
3#13073737C211yesmaximal, characteristic, complemented
4#13073736C211yesmaximal, characteristic, complemented
5#13073735C211yesmaximal, characteristic, complemented
6#13073734C211yesmaximal, characteristic, complemented
7#13073733C211yesmaximal, characteristic, complemented
8#13073732C211yesmaximal, characteristic, complemented
9#13073731C211yesmaximal, characteristic, complemented
10#13073730C211yesmaximal, characteristic, complemented
11#13073729C211yesmaximal, characteristic, complemented
12#13073728C211yesmaximal, characteristic, complemented
13#13073727C211yesmaximal, characteristic, complemented
14#13073726C211yesmaximal, characteristic, complemented
15#13073725C211yesmaximal, characteristic, complemented
16#13073724C211yesmaximal, characteristic, complemented
17#13073723C211yesmaximal, characteristic, complemented
18D11×#400C211yesmaximal, characteristic, complemented
19D11×#396C211yesmaximal, characteristic, complemented
20D11×#396C211yesmaximal, characteristic, complemented
21D11×#394C211yesmaximal, characteristic
22D11×#390C211yesmaximal, characteristic
23D11×#389C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#388C211yesmaximal, characteristic, complemented
26D11×#388C211yesmaximal, characteristic, complemented
27D11×#388C211yesmaximal, characteristic, complemented
28D11×#385C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2558C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×#66988C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38D11×#125—28no—
39D11×#123—28no—
40C2×#66947C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66943C2211yescharacteristic, complemented
53C2×#66943C2211yescharacteristic, complemented
54C2×#66942C2211yescharacteristic, complemented
55C2×#66942C2211yescharacteristic, complemented
56C2×#66942C2211yescharacteristic, complemented
57C2×#66942C2211yescharacteristic, complemented
58C2×#66939C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic
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×C22⋊C4×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×#66923C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#390C2211yescharacteristic
82C11×#389C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#385C2211yescharacteristic, complemented
88C4×C11×C4⋊C4C2211yescharacteristic, complemented
89C4×C11×C22⋊C4C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622823C2211yescharacteristic, complemented
93C4×C22⋊Dic11C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic
101#10622603C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622601C2211yescharacteristic
108#10622599C2211yescharacteristic, complemented
109#10622598C2211yescharacteristic, complemented
110#10622595C2211yescharacteristic, complemented
111C4⋊C4×Dic11C2211yescharacteristic, complemented
112C4⋊C4×Dic11C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622564C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic, complemented
130#10622561C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622561C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144C22⋊C4×Dic11C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic, complemented
146#10622553C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622552C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic11C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C4×Dic11⋊C4C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622285C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180#10622273C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×D4×D11—24no—
197C2×D4×D11—24no—
198C2×D4×D11—42no—
199C22×D44C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C11×#125—24no—
219C11×#123—24no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256#66988—24no—
257#66982—24no—
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66947—24no—
323#66947—24no—
324C4⋊C4×D11—24no—
325C4⋊C4×D11—24no—
326C4⋊C4×D11—24no—
327C4⋊C4×D11—24no—
328C4⋊C4×D11—24no—
329C4⋊C4×D11—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332C4⋊C4×D11—42no—
333C4⋊C4×D11D418yes—
334#66943—24no—
335#66943—24no—
336#66942—24no—
337#66942—24no—
338#66942—24no—
339#66942—24no—
340#66939—24no—
341#66936—24no—
342#66936—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—24no—
350C22⋊C4×D11—24no—
351C22⋊C4×D11—24no—
352C22⋊C4×D11—24no—
353C22⋊C4×D11—42no—
354C42×D11—24no—
355C42×D11—24no—
356C42×D11—42no—
357C42×D11—42no—
358#66923—24no—
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
391C2×#2558—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—41no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—41no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452D4×D11—416no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—416no—
496C2×C4×D11C2×D414yes—
497C2×C4×D11C2×D414yes—
498C2×C4×D11C2×D414yes—
499C2×C4×D11#4114yes—
500C2×C4×D11#4114yes—
501C2×C4×D11#4114yes—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4C2×D414yes—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—41no—
523C42×C11—22no—
524C42×C11—22no—
525C42×C11—41no—
526C42×C11—41no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—41no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—41no—
569C4⋊Dic11C2×D414yes—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4C2×D414yes—
589Dic11⋊C4C2×D414yes—
590C4×Dic11—22no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C22×#125—111no—
603C22×#123—111no—
604#2558—111no—
605#2558—111no—
606#2558—111no—
607#2558—111no—
608#2558—111no—
609#2558—111no—
610#2558—111no—
611#2558—111no—
612#2558—111no—
613#2558—111no—
614#2558—111no—
615#2558—111no—
616#2558—111no—
617#2558—111no—
618#2558—111no—
619#2558D1111yescharacteristic, direct product factor
620C2×#400—111no—
621C2×#396—111no—
622C2×#396—111no—
623C2×#394—111no—
624C2×#390—111no—
625C2×#389—111no—
626C2×#388—111no—
627C2×#388—111no—
628C2×#388—111no—
629C2×#388—111no—
630C2×#385—111no—
631C2×C4×C4⋊C4—111no—
632C2×C4×C22⋊C4—111no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11C2×#4112yes—
647C23×C11C2511yescharacteristic
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—28no—
655C22×D11—28no—
656C22×D11—28no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11C22×D412yes—
676C22×D11C2×#4112yes—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11H(5,𝔽2)12yes—
682C22×D112−1+412yes—
683D4×C11—44no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—44no—
718C2×C4×C11C22×D412yes—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C2×#4112yes—
722C2×C4×C11C2×#4112yes—
723C2×C4×C11C2×#4112yes—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—44no—
760C2×Dic11C22×D412yes—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11C2×#4112yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766D44—44no—
767C4×D11—28no—
768C4×D11—28no—
769C4×D11—28no—
770C4×D11—28no—
771C4×D11—28no—
772C4×D11—28no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—44no—
778C4×D11—44no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C23×D4—111no—
783C24×C4—111no—
784C2×#125—111no—
785C2×#125—111no—
786C2×#125—111no—
787C2×#125—111no—
788C2×#125—111no—
789C2×#125—111no—
790C2×#125—111no—
791C2×#125—228no—
792C2×#125C2×D1111yescharacteristic, complemented
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123—111no—
798C2×#123—111no—
799C2×#123—111no—
800C2×#123—228no—
801C2×#123C2×D1111yescharacteristic
802C22×C4⋊C4—111no—
803C22×C4⋊C4—111no—
804C22×C4⋊C4—111no—
805C22×C4⋊C4—111no—
806C22×C4⋊C4—111no—
807C22×C4⋊C4—111no—
808C22×C4⋊C4—111no—
809C22×C4⋊C4—111no—
810C22×C4⋊C4—111no—
811C22×C4⋊C4—111no—
812C22×C22⋊C4—111no—
813C22×C22⋊C4—111no—
814C22×C22⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C22⋊C4—111no—
819C22×C22⋊C4—111no—
820C22×C22⋊C4—111no—
821C22×C22⋊C4—111no—
822C22×C22⋊C4—111no—
823C22×C42—111no—
824C22×C42—111no—
825C22×C42—111no—
826C22×C42—111no—
827#400—111no—
828#400—111no—
829#400—111no—
830#400—111no—
831#400—111no—
832#400—111no—
833#400—111no—
834#400C2×D1111yescharacteristic, complemented
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#396—111no—
845#396—111no—
846#396—111no—
847#396—111no—
848#396—111no—
849#396C2×D1111yescharacteristic, complemented
850#396C2×D1111yescharacteristic, complemented
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394C2×D1111yescharacteristic
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#390—111no—
865#390—111no—
866#390C2×D1111yescharacteristic
867#389—111no—
868#389—111no—
869#389—111no—
870#389—111no—
871#389—111no—
872#389—111no—
873#389—111no—
874#389C2×D1111yescharacteristic, complemented
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#388C2×D1111yescharacteristic, complemented
904#388C2×D1111yescharacteristic, complemented
905#388C2×D1111yescharacteristic, complemented
906#388C2×D1111yescharacteristic, complemented
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385C2×D1111yescharacteristic, complemented
915C4×C4⋊C4—111no—
916C4×C4⋊C4—111no—
917C4×C4⋊C4—111no—
918C4×C4⋊C4—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4C2×D1111yescharacteristic, complemented
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4C2×D1111yescharacteristic, complemented
931C2×#95—111no—
932C2×#95—111no—
933C2×#95—111no—
934C2×#95—111no—
935C2×#95—111no—
936C2×#95—111no—
937C2×#95—111no—
938C2×#95—111no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11C23×D411yescharacteristic
954C22×C11C22×#4111yescharacteristic
955C22×C11C22×#4111yescharacteristic
956C22×C11C22×#4111yescharacteristic
957C22×C11C22×#4111yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11C2×2−1+411yescharacteristic
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—416no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—88no—
976C2×D11#52914yes—
977C2×D11#53214yes—
978C2×D11#53914yes—
979C2×D11#54614yes—
980C2×D11#54814yes—
981C2×D11#55214yes—
982C2×D11#55314yes—
983C4×C11—22no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
1010C25—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—224no—
1015C22×D4—224no—
1016C22×D4—442no—
1017C22×D4C22×D1111yescharacteristic
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—224no—
1035C23×C4—224no—
1036C23×C4—442no—
1037C23×C4C22×D1111yescharacteristic
1038#125—24no—
1039#125—224no—
1040#125—224no—
1041#125—224no—
1042#125—224no—
1043#125—224no—
1044#125—224no—
1045#125—224no—
1046#123—24no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051#123—224no—
1052#123—224no—
1053#123—224no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—118no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—224no—
1086C2×C4⋊C4—224no—
1087C2×C4⋊C4—224no—
1088C2×C4⋊C4—224no—
1089C2×C4⋊C4—224no—
1090C2×C4⋊C4—224no—
1091C2×C4⋊C4—224no—
1092C2×C4⋊C4—224no—
1093C2×C4⋊C4—442no—
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C4⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—224no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4—224no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—224no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—224no—
1147C2×C22⋊C4—442no—
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—224no—
1172C2×C42—224no—
1173C2×C42—442no—
1174C2×C42—442no—
1175C2×C42C22×D1111yescharacteristic
1176C2×C42C22×D1111yescharacteristic
1177C2×C42C22×D1111yescharacteristic
1178C2×C42C22×D1111yescharacteristic
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211C2×C11—42no—
1212C2×C11—81no—
1213C2×C11C2×#52911yescharacteristic
1214C2×C11C2×#53211yescharacteristic
1215C2×C11C2×#53911yescharacteristic
1216C2×C11C2×#54611yescharacteristic
1217C2×C11C2×#54811yescharacteristic
1218C2×C11C2×#55211yescharacteristic
1219C2×C11C2×#55311yescharacteristic
1220D11—42no—
1221D11—81no—
1222D11#255818yesdirect product factor
1223C24—111no—
1224C24—114no—
1225C24—111no—
1226C24—111no—
1227C24—222no—
1228C24—222no—
1229C24—222no—
1230C24—222no—
1231C24—222no—
1232C24—222no—
1233C24—222no—
1234C24—222no—
1235C24—222no—
1236C24—222no—
1237C24—222no—
1238C24—222no—
1239C24—222no—
1240C24C23×D1111yescharacteristic
1241C24C23×D1111yescharacteristic
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—441no—
1252C2×D4—4416no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—41no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—114no—
1265C22×C4—114no—
1266C22×C4—114no—
1267C22×C4—114no—
1268C22×C4—114no—
1269C22×C4—114no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—4416no—
1319C22×C4—441no—
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—114no—
1343C4⋊C4—114no—
1344C4⋊C4—114no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
1364C4⋊C4—222no—
1365C4⋊C4—222no—
1366C4⋊C4—222no—
1367C4⋊C4—222no—
1368C4⋊C4—222no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4D4×D1114yes—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—41no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
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—222no—
1413C22⋊C4—222no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C42—22no—
1418C42—22no—
1419C42—41no—
1420C42—41no—
1421C42—222no—
1422C42—222no—
1423C42—222no—
1424C42—222no—
1425C42—222no—
1426C42—222no—
1427C42—441no—
1428C42—441no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C42—441no—
1433C11C2×#255811yescharacteristic, complemented, Sylow
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—112no—
1448C23—112no—
1449C23—112no—
1450C23—112no—
1451C23—112no—
1452C23—112no—
1453C23—112no—
1454C23—112no—
1455C23—228no—
1456C23—228no—
1457C23—228no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—444no—
1472C23—444no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23#41×D1112yes—
1483C23C24×D1111yescharacteristic
1484D4—44no—
1485D4—444no—
1486D4—444no—
1487D4—444no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—112no—
1526C2×C4—112no—
1527C2×C4—112no—
1528C2×C4—228no—
1529C2×C4—228no—
1530C2×C4—228no—
1531C2×C4—228no—
1532C2×C4—228no—
1533C2×C4—228no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4C2×D4×D1112yes—
1578C2×C4C2×D4×D1112yes—
1579C2×C4C2×D4×D1112yes—
1580C2×C4#41×D1112yes—
1581C2×C4#41×D1112yes—
1582C2×C4#41×D1112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—114no—
1598C22—114no—
1599C22—114no—
1600C22—114no—
1601C22—114no—
1602C22—114no—
1603C22—114no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—4416no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—888no—
1620C22C22×D4×D1111yescharacteristic
1621C22C2×#41×D1111yescharacteristic
1622C22C2×#41×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22D11×H(5,𝔽2)11yescharacteristic
1626C22D11×2−1+411yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C2—42no—
1654C2—81no—
1655C2—118no—
1656C2—442no—
1657C2—881no—
1658C2D11×#52911yescharacteristic
1659C2D11×#53211yescharacteristic
1660C2D11×#53911yescharacteristic
1661C2D11×#54611yescharacteristic
1662C2D11×#54811yescharacteristic
1663C2D11×#55211yescharacteristic
1664C2D11×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2558C2
prime radicalC22×D4×D11C22
hypercenter#2558D11
hypocenterC11C2×#2558
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2558

Complements

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

NH ≅ G/Ntype
1. C2×D11×#125C2semidirect
3. #13073737C2semidirect
4. #13073736C2semidirect
5. #13073735C2semidirect
6. #13073734C2semidirect
7. #13073733C2semidirect
8. #13073732C2semidirect
9. #13073731C2semidirect
10. #13073730C2semidirect
11. #13073729C2semidirect
12. #13073728C2semidirect
13. #13073727C2semidirect
14. #13073726C2semidirect
15. #13073725C2semidirect
16. #13073724C2semidirect
17. #13073723C2semidirect
18. D11×#400C2semidirect
19. D11×#396C2semidirect
20. D11×#396C2semidirect
23. D11×#389C2semidirect
24. D11×#388C2semidirect
25. D11×#388C2semidirect
26. D11×#388C2semidirect
27. D11×#388C2semidirect
28. D11×#385C2semidirect
29. C4×C4⋊C4×D11C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2558C2semidirect
34. C2×C11×#125C22semidirect
52. C2×#66943C22semidirect
53. C2×#66943C22semidirect
54. C2×#66942C22semidirect
55. C2×#66942C22semidirect
56. C2×#66942C22semidirect
57. C2×#66942C22semidirect
76. C2×#66923C22semidirect
77. C11×#400C22semidirect
78. C11×#396C22semidirect
79. C11×#396C22semidirect
82. C11×#389C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
85. C11×#388C22semidirect
86. C11×#388C22semidirect
87. C11×#385C22semidirect
88. C4×C11×C4⋊C4C22semidirect
89. C4×C11×C22⋊C4C22semidirect
92. #10622823C22semidirect
93. C4×C22⋊Dic11C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
99. #10622607C22semidirect
101. #10622603C22semidirect
102. #10622603C22semidirect
103. #10622603C22semidirect
104. #10622603C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
108. #10622599C22semidirect
109. #10622598C22semidirect
110. #10622595C22semidirect
111. C4⋊C4×Dic11C22semidirect
112. C4⋊C4×Dic11C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
124. #10622564C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
128. #10622563C22semidirect
129. #10622561C22semidirect
130. #10622561C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
133. #10622561C22semidirect
134. #10622561C22semidirect
135. #10622559C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622558C22semidirect
139. #10622558C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
144. C22⋊C4×Dic11C22semidirect
145. C22⋊C4×Dic11C22semidirect
146. #10622553C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
151. C4×(C2×D11)⋊C4C22semidirect
152. C4×(C2×D11)⋊C4C22semidirect
153. C4×C4⋊Dic11C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C4×Dic11⋊C4C22semidirect
156. #10622541C22semidirect
157. #10622289C22semidirect
158. #10622289C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
180. #10622273C22semidirect
181. #10622273C22semidirect
182. #10622272C22semidirect
183. #10622271C22semidirect
184. #10622271C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
619. #2558D11direct (N × H)
792. C2×#125C2×D11semidirect
834. #400C2×D11semidirect
849. #396C2×D11semidirect
850. #396C2×D11semidirect
874. #389C2×D11semidirect
903. #388C2×D11semidirect
904. #388C2×D11semidirect
905. #388C2×D11semidirect
906. #388C2×D11semidirect
914. #385C2×D11semidirect
922. C4×C4⋊C4C2×D11semidirect
930. C4×C22⋊C4C2×D11semidirect
1222. D11#2558direct (N × H)
1433. C11C2×#2558semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1252
C2×D11×#1232
#130737372
#130737362
#130737352
#130737342
#130737332
#130737322
#130737312
#130737302
#130737292
#130737282
#130737272
#130737262
#130737252
#130737242
#130737232
D11×#4002
D11×#3962
D11×#3942
D11×#3902
D11×#3892
D11×#3882
D11×#3852
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#25582
C2×#255811