Finite Group Databasebeta

← D11×#2476 #14922124

Subgroups — D11×#2476 #14922124

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×#121C211yesmaximal, characteristic
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13072809C211yesmaximal, characteristic, complemented
4#13072808C211yesmaximal, characteristic, complemented
5#13072807C211yesmaximal, characteristic, complemented
6#13072806C211yesmaximal, characteristic, complemented
7#13072805C211yesmaximal, characteristic, complemented
8#13072804C211yesmaximal, characteristic, complemented
9#13072803C211yesmaximal, characteristic, complemented
10#13072802C211yesmaximal, characteristic, complemented
11#13072801C211yesmaximal, characteristic, complemented
12#13072800C211yesmaximal, characteristic, complemented
13#13072799C211yesmaximal, characteristic, complemented
14#13072798C211yesmaximal, characteristic, complemented
15#13072797C211yesmaximal, characteristic, complemented
16#13072796C211yesmaximal, characteristic, complemented
17#13072795C211yesmaximal, characteristic, complemented
18D11×#398C211yesmaximal, characteristic, complemented
19D11×#394C211yesmaximal, characteristic, complemented
20D11×#394C211yesmaximal, characteristic, complemented
21D11×#394C211yesmaximal, characteristic, complemented
22D11×#390C211yesmaximal, characteristic, complemented
23D11×#388C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#388C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic, complemented
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2476C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#117C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66983C2211yescharacteristic
43C2×#66979C2211yescharacteristic, complemented
44D11×#121—28no—
45D11×#117—28no—
46C2×#66948C2211yescharacteristic
47C2×#66945C2211yescharacteristic, complemented
48C2×#66945C2211yescharacteristic, complemented
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66937C2211yescharacteristic
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×#398C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#390C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#387C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic, complemented
89C4×C11×C22⋊C4C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622834C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622826C2211yescharacteristic, complemented
97#10622826C2211yescharacteristic, complemented
98#10622823C2211yescharacteristic, complemented
99C4×C22⋊Dic11C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622601C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622596C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622572C2211yescharacteristic, complemented
122#10622572C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic, complemented
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic, complemented
128#10622571C2211yescharacteristic, complemented
129#10622570C2211yescharacteristic, complemented
130#10622570C2211yescharacteristic, complemented
131#10622570C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622557C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622552C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622285C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic, complemented
159#10622285C2211yescharacteristic, complemented
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180D11×#95C2211yescharacteristic
181D11×#95C2211yescharacteristic
182#10622274C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, 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×#121—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#66992—24no—
277#66992—24no—
278#66991—24no—
279#66983—24no—
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
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306#66979—24no—
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334#66948—24no—
335#66945—24no—
336#66945—24no—
337C4⋊C4×D11—24no—
338C4⋊C4×D11—24no—
339C4⋊C4×D11—24no—
340C4⋊C4×D11—24no—
341C4⋊C4×D11—42no—
342C4⋊C4×D11—42no—
343#66937—24no—
344#66937—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—42no—
353C22⋊C4×D11—42no—
354C22⋊C4×D11—42no—
355C22⋊C4×D11—42no—
356C22⋊C4×D11—42no—
357C22⋊C4×D11D418yes—
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×#2476—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—22no—
420C23×D11C2×D414yes—
421C23×D11#4114yes—
422C23×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C2×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×D11#4114yes—
549C2×C4×D11#4114yes—
550C2×C4×D11#4114yes—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—22no—
553C11×C4⋊C4—22no—
554C11×C4⋊C4—22no—
555C11×C4⋊C4—41no—
556C11×C4⋊C4—41no—
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—41no—
565C11×C22⋊C4—41no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4C2×D414yes—
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—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11C2×D414yes—
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—41no—
601(C2×D11)⋊C4—41no—
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)⋊C4C2×D414yes—
611(C2×D11)⋊C4C2×D414yes—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—22no—
616C4⋊Dic11—41no—
617C4⋊Dic11—41no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629Dic11⋊C4—41no—
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×#121—111no—
640C22×#117—111no—
641#2476—111no—
642#2476—111no—
643#2476—111no—
644#2476—111no—
645#2476—111no—
646#2476—111no—
647#2476—111no—
648#2476—111no—
649#2476—111no—
650#2476—111no—
651#2476—111no—
652#2476—111no—
653#2476—111no—
654#2476—111no—
655#2476—111no—
656#2476D1111yescharacteristic, direct product factor
657C2×#398—111no—
658C2×#394—111no—
659C2×#394—111no—
660C2×#394—111no—
661C2×#390—111no—
662C2×#388—111no—
663C2×#388—111no—
664C2×#388—111no—
665C2×#387—111no—
666C2×#386—111no—
667C2×#386—111no—
668C2×#385—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×C11C22×D412yes—
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×D11C22×D412yes—
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×C11C2×#4112yes—
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×Dic11C2×#4112yes—
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×#121—111no—
851C2×#121—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—228no—
858C2×#121C2×D1111yescharacteristic
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#398—111no—
891#398—111no—
892#398—111no—
893#398—111no—
894#398—111no—
895#398—111no—
896#398—111no—
897#398C2×D1111yescharacteristic, complemented
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#394—111no—
917#394—111no—
918#394—111no—
919#394C2×D1111yescharacteristic, complemented
920#394C2×D1111yescharacteristic, complemented
921#394C2×D1111yescharacteristic, complemented
922#390—111no—
923#390—111no—
924#390—111no—
925#390—111no—
926#390—111no—
927#390—111no—
928#390—111no—
929#390C2×D1111yescharacteristic, complemented
930#388—111no—
931#388—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#388—111no—
938#388—111no—
939#388—111no—
940#388—111no—
941#388—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388C2×D1111yescharacteristic, complemented
952#388C2×D1111yescharacteristic, complemented
953#388C2×D1111yescharacteristic, complemented
954#387—111no—
955#387—111no—
956#387—111no—
957#387—111no—
958#387—111no—
959#387—111no—
960#387—111no—
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#386C2×D1111yescharacteristic, complemented
977#386C2×D1111yescharacteristic, complemented
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#385—111no—
983#385—111no—
984#385—111no—
985#385C2×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#54614yes—
1059C2×D11#55314yes—
1060C2×D11#55514yes—
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#121—24no—
1136#121—224no—
1137#121—224no—
1138#121—224no—
1139#121—224no—
1140#121—224no—
1141#121—224no—
1142#121—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—111no—
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—224no—
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—118no—
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—111no—
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×#54611yescharacteristic
1301C2×C11C2×#55311yescharacteristic
1302C2×C11C2×#55511yescharacteristic
1303D11—42no—
1304D11—42no—
1305D11—81no—
1306D11#247618yesdirect 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—222no—
1413C22×C4—2232no—
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—22no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
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—222no—
1478C4⋊C4—441no—
1479C4⋊C4—441no—
1480C4⋊C4—441no—
1481C4⋊C4—441no—
1482C4⋊C4—441no—
1483C4⋊C4—441no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—114no—
1497C22⋊C4—114no—
1498C22⋊C4—114no—
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—441no—
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⋊C4D4×D1114yes—
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×#247611yescharacteristic, 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—
1617C23C2×D4×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×C4#41×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×#54611yescharacteristic
1819C2D11×#55311yescharacteristic
1820C2D11×#55511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2476C2
prime radicalC2×D11×#121C2
hypercenter#2476D11
hypocenterC11C2×#2476
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
2. C2×D11×#117C2semidirect
3. #13072809C2semidirect
4. #13072808C2semidirect
5. #13072807C2semidirect
6. #13072806C2semidirect
7. #13072805C2semidirect
8. #13072804C2semidirect
9. #13072803C2semidirect
10. #13072802C2semidirect
11. #13072801C2semidirect
12. #13072800C2semidirect
13. #13072799C2semidirect
14. #13072798C2semidirect
15. #13072797C2semidirect
16. #13072796C2semidirect
17. #13072795C2semidirect
18. D11×#398C2semidirect
19. D11×#394C2semidirect
20. D11×#394C2semidirect
21. D11×#394C2semidirect
22. D11×#390C2semidirect
23. D11×#388C2semidirect
24. D11×#388C2semidirect
25. D11×#388C2semidirect
26. D11×#387C2semidirect
27. D11×#386C2semidirect
28. D11×#386C2semidirect
29. D11×#385C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2476C2semidirect
38. C2×C11×#117C22semidirect
43. C2×#66979C22semidirect
47. C2×#66945C22semidirect
48. C2×#66945C22semidirect
70. C2×#66930C22semidirect
71. C2×#66930C22semidirect
72. C2×#66925C22semidirect
73. C2×#66925C22semidirect
77. C11×#398C22semidirect
78. C11×#394C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
81. C11×#390C22semidirect
82. C11×#388C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
85. C11×#387C22semidirect
86. C11×#386C22semidirect
87. C11×#386C22semidirect
88. C11×#385C22semidirect
89. C4×C11×C22⋊C4C22semidirect
90. #10622835C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
93. #10622834C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622826C22semidirect
97. #10622826C22semidirect
98. #10622823C22semidirect
99. C4×C22⋊Dic11C22semidirect
100. #10622604C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
103. #10622603C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622601C22semidirect
109. #10622597C22semidirect
110. #10622597C22semidirect
111. #10622596C22semidirect
112. #10622594C22semidirect
113. #10622593C22semidirect
114. #10622591C22semidirect
115. #10622574C22semidirect
116. #10622574C22semidirect
117. #10622574C22semidirect
118. #10622574C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622572C22semidirect
122. #10622572C22semidirect
123. #10622572C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622571C22semidirect
128. #10622571C22semidirect
129. #10622570C22semidirect
130. #10622570C22semidirect
131. #10622570C22semidirect
132. #10622570C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
136. #10622569C22semidirect
137. #10622564C22semidirect
138. #10622564C22semidirect
139. #10622564C22semidirect
140. #10622563C22semidirect
141. #10622559C22semidirect
142. #10622558C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622557C22semidirect
146. #10622557C22semidirect
147. #10622557C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. #10622553C22semidirect
151. #10622553C22semidirect
152. #10622553C22semidirect
153. #10622552C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. #10622546C22semidirect
157. #10622285C22semidirect
158. #10622285C22semidirect
159. #10622285C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622279C22semidirect
169. #10622279C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
182. #10622274C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622266C22semidirect
188. #10622265C22semidirect
656. #2476D11direct (N × H)
867. C2×#117C2×D11semidirect
897. #398C2×D11semidirect
919. #394C2×D11semidirect
920. #394C2×D11semidirect
921. #394C2×D11semidirect
929. #390C2×D11semidirect
951. #388C2×D11semidirect
952. #388C2×D11semidirect
953. #388C2×D11semidirect
961. #387C2×D11semidirect
976. #386C2×D11semidirect
977. #386C2×D11semidirect
985. #385C2×D11semidirect
993. C4×C22⋊C4C2×D11semidirect
1306. D11#2476direct (N × H)
1548. C11C2×#2476semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1212
C2×D11×#1172
#130728092
#130728082
#130728072
#130728062
#130728052
#130728042
#130728032
#130728022
#130728012
#130728002
#130727992
#130727982
#130727972
#130727962
#130727952
D11×#3982
D11×#3942
D11×#3902
D11×#3882
D11×#3872
D11×#3862
D11×#3852
C4×C22⋊C4×D112
C11×#24762
C2×#247611