Finite Group Databasebeta

← #14914977

Subgroups — #14914977

Order 2816.

3426 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623123C211yesmaximal, characteristic
2C2×#10623017C211yesmaximal, characteristic, complemented
3C2×C4×#4341C211yesmaximal, characteristic, complemented
4#13071690C211yesmaximal, characteristic, complemented
5#13071688C211yesmaximal, characteristic, complemented
6#13071684C211yesmaximal, characteristic, complemented
7#13071682C211yesmaximal, characteristic, complemented
8#13071679C211yesmaximal, characteristic, complemented
9#13071679C211yesmaximal, characteristic, complemented
10#13071678C211yesmaximal, characteristic, complemented
11#13071677C211yesmaximal, characteristic, complemented
12#13071600C211yesmaximal, characteristic, complemented
13#13071598C211yesmaximal, characteristic, complemented
14#13071596C211yesmaximal, characteristic, complemented
15#13071595C211yesmaximal, characteristic, complemented
16#13071595C211yesmaximal, characteristic, complemented
17#13071593C211yesmaximal, characteristic, complemented
18#13071592C211yesmaximal, characteristic, complemented
19#13071308C211yesmaximal, characteristic, complemented
20#13071306C211yesmaximal, characteristic, complemented
21#13071304C211yesmaximal, characteristic, complemented
22#13071302C211yesmaximal, characteristic, complemented
23#13071203C211yesmaximal, characteristic, complemented
24#13071128C211yesmaximal, characteristic, complemented
25C4×#66937C211yesmaximal, characteristic, complemented
26#13071126C211yesmaximal, characteristic, complemented
27C4×#66992C211yesmaximal, characteristic, complemented
28#13071095C211yesmaximal, characteristic, complemented
29C2×#10622570C211yesmaximal, characteristic, complemented
30#13070971C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66993C2211yescharacteristic
43C2×#66993C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic, complemented
55C2×C4×C22⋊D11C2211yescharacteristic, complemented
56C2×C4×C22⋊D11C2211yescharacteristic, complemented
57C22×(C2×D11)⋊C4C2211yescharacteristic
58C22×(C2×D11)⋊C4C2211yescharacteristic
59C22×Dic11⋊C4C2211yescharacteristic
60C22×C4×Dic11C2211yescharacteristic
61C22×C4×Dic11C2211yescharacteristic, complemented
62#10623123C4116yescomplemented
63C4×#4341—28no—
64C2×#66946C2211yescharacteristic, complemented
65C2×#66945C2211yescharacteristic, complemented
66C2×#66940C2211yescharacteristic, complemented
67C2×#66938C2211yescharacteristic
68C2×#66938C2211yescharacteristic
69C2×#66937C2211yescharacteristic
70C2×#66937C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72#10623017—28no—
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×(C22⋊D11)⋊C4C2211yescharacteristic
75C2×(C22⋊D11)⋊C4C2211yescharacteristic
76C2×(C22⋊D11)⋊C4C2211yescharacteristic
77C2×(C22⋊D11)⋊C4C2211yescharacteristic
78C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
79C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
80C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
81C2×C22⋊C4×D11C2211yescharacteristic
82C2×C22⋊C4×D11C2211yescharacteristic
83C2×#66930C2211yescharacteristic
84C2×#66930C2211yescharacteristic
85C2×#66930C2211yescharacteristic
86C2×#66930C2211yescharacteristic, complemented
87C2×C4×D44C2211yescharacteristic, complemented
88C2×C42×D11C2211yescharacteristic, complemented
89C2×C4×Dic22C2211yescharacteristic, complemented
90C11×#390C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic, complemented
92C11×#388C2211yescharacteristic, complemented
93C11×#386C2211yescharacteristic
94C11×#386C2211yescharacteristic, complemented
95C11×#386C2211yescharacteristic, complemented
96C11×#385C2211yescharacteristic
97C11×#385C2211yescharacteristic, complemented
98C4×C11×C22⋊C4C2211yescharacteristic
99C4×C11×C22⋊C4C2211yescharacteristic, complemented
100#10622834C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic
102#10622833C2211yescharacteristic, complemented
103#10622833C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic, complemented
106#10622826C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic
108#10622823C2211yescharacteristic, complemented
109C4×C22⋊Dic11C2211yescharacteristic
110C4×C22⋊Dic11C2211yescharacteristic, complemented
111#10622603C2211yescharacteristic, complemented
112#10622603C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622601C2211yescharacteristic, complemented
116C4⋊C4×Dic11C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic, complemented
122#10622571C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic, complemented
133#10622570C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622563C2211yescharacteristic
144#10622563C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic
146#10622559C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150#10622557C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic, complemented
152#10622555C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156C22⋊C4×Dic11C2211yescharacteristic, complemented
157#10622553C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622552C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164C4×Dic11⋊C4C2211yescharacteristic, complemented
165C4×Dic11⋊C4C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic, complemented
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189#10622259C2211yescharacteristic, complemented
190C25×C11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C22×C22⋊D11—24no—
201C22×C22⋊D11—24no—
202C22×C22⋊D11C2×C418yescomplemented
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C2×#4341—24no—
221C2×#4341—24no—
222C2×#4341C2×C418yescomplemented
223C22×D44C2311yescharacteristic
224C22×D44C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×Dic22C2311yescharacteristic
233C11×#120C2×C418yescomplemented
234C4×D4×C11—24no—
235C4×D4×C11—42no—
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4—24no—
240C2×C11×C22⋊C4—42no—
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊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×C42×C11C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258#67006C2×C418yescomplemented
259C2×C22⋊Dic11—24no—
260C2×C22⋊Dic11—42no—
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
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
275#66993C2×C418yescomplemented
276#66993C2×C418yescomplemented
277#66992C2×C418yescomplemented
278#66992C2×C418yescomplemented
279#66990C2×C418yescomplemented
280D4×Dic11—24no—
281D4×Dic11—42no—
282C4×C22⋊D11—24no—
283C4×C22⋊D11—24no—
284C4×C22⋊D11—24no—
285C4×C22⋊D11—24no—
286C4×C22⋊D11—24no—
287C4×C22⋊D11—24no—
288C4×C22⋊D11—42no—
289C4×C22⋊D11—42no—
290C2×(C2×D11)⋊C4—42no—
291C2×(C2×D11)⋊C4—42no—
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×Dic11⋊C4—24no—
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×C4×Dic11—24no—
335C2×C4×Dic11—24no—
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355#66946—42no—
356#66945—24no—
357#66940—24no—
358#66938C2×C418yescomplemented
359#66938C2×C418yescomplemented
360#66937C2×C418yescomplemented
361#66937C2×C418yescomplemented
362#66935C2×C418yescomplemented
363(C22⋊D11)⋊C4—24no—
364(C22⋊D11)⋊C4—24no—
365(C22⋊D11)⋊C4—24no—
366(C22⋊D11)⋊C4—24no—
367(C22⋊D11)⋊C4—24no—
368(C22⋊D11)⋊C4—24no—
369(C22⋊D11)⋊C4—42no—
370(C22⋊D11)⋊C4—42no—
371C22⋊C4×D11—24no—
372C22⋊C4×D11—24no—
373#66930—24no—
374#66930—24no—
375#66930C2×C418yescomplemented
376#66930D418yescomplemented
377C4×D44—42no—
378C42×D11—24no—
379C4×Dic22—24no—
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
397C11⋊#95C2311yescharacteristic
398C11⋊#95C2311yescharacteristic
399C11⋊#95C2311yescharacteristic
400C11⋊#95C2311yescharacteristic
401C11⋊#95C2311yescharacteristic
402C11⋊#95C2311yescharacteristic
403C11⋊#95C2311yescharacteristic
404#34269—111nomaximal, Sylow
405C24×C11—22no—
406C24×C11—22no—
407C24×C11—41no—
408C24×C11—41no—
409C24×C11—41no—
410C24×C11—41no—
411C24×C11C22×C414yes—
412C24×C11C2411yescharacteristic
413C24×C11C2411yescharacteristic
414C24×C11C2411yescharacteristic
415C24×C11C2411yescharacteristic
416C23×D11—22no—
417C23×D11—22no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11C22×C414yes—
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11C22×C414yes—
433C2×D4×C11C22×C414yes—
434C2×D4×C11C22×C414yes—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—22no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C2×C22⋊D11—232no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11C22×C414yes—
483C2×C22⋊D11C22×C414yes—
484C2×C22⋊D11C22×C414yes—
485C2×C22⋊D11C22×C414yes—
486C2×C22⋊D11C22×C414yes—
487C2×C22⋊D11C22×C414yes—
488C2×C22⋊D11C22×C414yes—
489C2×C22⋊D11C22×C414yes—
490C2×C22⋊D11C22×C414yes—
491C2×C22⋊D11C22×C414yes—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—22no—
498C22×Dic11—22no—
499C22×Dic11—22no—
500C22×Dic11—22no—
501C22×Dic11—41no—
502C22×Dic11—41no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11C22×C414yes—
510C22×Dic11C22×C414yes—
511C22×Dic11C2×D414yes—
512C22×Dic11#4114yes—
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526#4341—232no—
527C2×D44—41no—
528C2×D44—41no—
529C2×D44—41no—
530C2×D44—41no—
531C2×D44C22×C414yes—
532C2×D44C22×C414yes—
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—41no—
546C2×C4×D11—41no—
547C2×C4×D11—41no—
548C2×C4×D11—41no—
549C2×C4×D11—41no—
550C2×C4×D11—41no—
551C2×C4×D11—41no—
552C2×C4×D11—41no—
553C2×C4×D11C22×C414yes—
554C2×Dic22—22no—
555C2×Dic22—22no—
556C2×Dic22C22×C414yes—
557C11×C4⋊C4—22no—
558C11×C4⋊C4—22no—
559C11×C4⋊C4—41no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4—22no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4—41no—
570C11×C22⋊C4C22×C414yes—
571C11×C22⋊C4C22×C414yes—
572C11×C22⋊C4C22×C414yes—
573C11×C22⋊C4C2×D414yes—
574C42×C11—22no—
575C42×C11—41no—
576C42×C11—41no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—22no—
580C22⋊Dic11—22no—
581C22⋊Dic11—22no—
582C22⋊Dic11—22no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11C22×C414yes—
588C22⋊Dic11C22×C414yes—
589C22⋊Dic11C22×C414yes—
590C22⋊Dic11C2×D414yes—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—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)⋊C4C22×C414yes—
610(C2×D11)⋊C4C22×C414yes—
611(C2×D11)⋊C4C22×C414yes—
612(C2×D11)⋊C4C22×C414yes—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—41no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
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⋊C4C22×C414yes—
629Dic11⋊C4C22×C414yes—
630Dic11⋊C4C2×D414yes—
631Dic11⋊C4C2×D414yes—
632C4×Dic11—22no—
633C4×Dic11—22no—
634C4×Dic11—22no—
635C4×Dic11—22no—
636C4×Dic11—22no—
637C4×Dic11—22no—
638C4×Dic11—22no—
639C4×Dic11—22no—
640C4×Dic11—22no—
641C4×Dic11—41no—
642C4×Dic11—41no—
643C4×Dic11—41no—
644C4×Dic11—41no—
645C4×Dic11—41no—
646C4×Dic11—41no—
647C4×Dic11C22×C414yes—
648C4×Dic11C22×C414yes—
649C4×Dic11C2×D414yes—
650C4×Dic11C2×D414yes—
651C2×#535—111no—
652C2×#518—111no—
653C2×C4×#41—111no—
654#2367—111no—
655#2367—111no—
656#2367—111no—
657#2367—111no—
658#2366—111no—
659#2366—111no—
660#2366—111no—
661#2366—111no—
662#2358—111no—
663#2358—111no—
664#2358—111no—
665#2358—111no—
666#2358—111no—
667#2358—111no—
668#2358—111no—
669#2358D1111yescharacteristic, complemented
670#2324—111no—
671#2324—111no—
672#2324—111no—
673#2324—111no—
674#2311—111no—
675C4×#121—111no—
676C4×#121—111no—
677C4×#121—111no—
678C4×#121—111no—
679#2296—111no—
680C2×#390—111no—
681#2274—111no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—28no—
705C23×C11—44no—
706C23×C11—44no—
707C23×C11—82no—
708C23×C11—82no—
709C23×C11—82no—
710C23×C11—82no—
711C23×C11C23×C412yes—
712C23×C11C23×C412yes—
713C23×C11C23×C412yes—
714C23×C11C23×C412yes—
715C23×C11C22×D412yes—
716C23×C11C2×#4112yes—
717C23×C11C2511yescharacteristic
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—28no—
737C22×D11—44no—
738C22×D11—44no—
739C22×D11—82no—
740C22×D11—82no—
741C22×D11—82no—
742C22×D11—82no—
743C22×D11C23×C412yes—
744C22×D11C23×C412yes—
745C22×D11C23×C412yes—
746D4×C11—28no—
747D4×C11—44no—
748D4×C11—44no—
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×C11—44no—
778C2×C4×C11—82no—
779C2×C4×C11—82no—
780C2×C4×C11—82no—
781C2×C4×C11C23×C412yes—
782C2×C4×C11C23×C412yes—
783C2×C4×C11C23×C412yes—
784C2×C4×C11C22×D412yes—
785C2×C4×C11C22×D412yes—
786C2×C4×C11H(5,𝔽2)12yes—
787C22⋊D11—28no—
788C22⋊D11—28no—
789C22⋊D11—28no—
790C22⋊D11—28no—
791C22⋊D11—28no—
792C22⋊D11—28no—
793C22⋊D11—44no—
794C22⋊D11—44no—
795C22⋊D11—44no—
796C22⋊D11—44no—
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—28no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—44no—
826C2×Dic11—44no—
827C2×Dic11—82no—
828C2×Dic11—82no—
829C2×Dic11—82no—
830C2×Dic11C4×D4116yescomplemented
831C2×Dic11C23×C412yes—
832C2×Dic11C23×C412yes—
833C2×Dic11C23×C412yes—
834C2×Dic11C23×C412yes—
835C2×Dic11C23×C412yes—
836C2×Dic11C22×D412yes—
837C2×Dic11C22×D412yes—
838C2×Dic11C22×D412yes—
839C2×Dic11C22×D412yes—
840C2×Dic11C2×#4112yes—
841C2×Dic11C2×#4112yes—
842C2×Dic11H(5,𝔽2)12yes—
843D44—44no—
844D44—44no—
845C4×D11—28no—
846C4×D11—44no—
847C4×D11—44no—
848C4×D11—82no—
849C4×D11—82no—
850C4×D11—82no—
851C4×D11—82no—
852Dic22—28no—
853C22×#41—111no—
854C23×D4—111no—
855#535—1116no—
856C2×#127—111no—
857C2×#127—111no—
858C2×#124—111no—
859C2×#124—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#120—111no—
865C2×#120—111no—
866C2×#120—111no—
867C2×#120C2×D1111yescharacteristic
868#518—228no—
869C4×#41—228no—
870C2×C4×Q8—111no—
871C2×C4×Q8—111no—
872C2×C4×D4—111no—
873C2×C4×D4—111no—
874C2×C4×D4—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4—111no—
880C2×C4×D4—111no—
881C2×C4×D4—111no—
882C2×C4×D4—111no—
883C2×C4×D4—111no—
884C2×C4×D4—111no—
885C2×C4×D4—111no—
886C2×C4×D4—111no—
887C2×C4×D4—111no—
888C2×C4×D4—111no—
889C2×C4×D4—111no—
890C2×C4×D4—111no—
891C2×C4×D4—111no—
892C2×C4×D4C2×D1111yescharacteristic
893C2×C4×D4C2×D1111yescharacteristic, complemented
894C2×#117—111no—
895C2×#117—111no—
896C2×#117—111no—
897C2×#117—111no—
898C2×#117—111no—
899C22×C4⋊C4—111no—
900C22×C22⋊C4—111no—
901C22×C22⋊C4—111no—
902C22×C22⋊C4—111no—
903C22×C22⋊C4—111no—
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4C2×D1111yescharacteristic
907C22×C22⋊C4C2×D1111yescharacteristic
908C22×C42—111no—
909C22×C42—111no—
910C22×C42—111no—
911#391—111no—
912#391—111no—
913#390—111no—
914#390—111no—
915#390—111no—
916#390—111no—
917#390—111no—
918#390—111no—
919#390—111no—
920#390—111no—
921#390—111no—
922#390—111no—
923#390—111no—
924#390—111no—
925#390—111no—
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390C2×D1111yescharacteristic, complemented
931#389—111no—
932#389—111no—
933#389—111no—
934#389—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#388C2×D1111yescharacteristic, complemented
950#388C2×D1111yescharacteristic, complemented
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386C2×D1111yescharacteristic
969#386C2×D1111yescharacteristic, complemented
970#386C2×D1111yescharacteristic, complemented
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385C2×D1111yescharacteristic
982#385C2×D1111yescharacteristic, complemented
983#380—111no—
984#380—111no—
985#380—111no—
986#380—111no—
987C4×C4⋊C4—111no—
988C4×C4⋊C4—111no—
989C4×C4⋊C4—111no—
990C4×C4⋊C4—111no—
991C4×C4⋊C4—111no—
992C4×C4⋊C4—111no—
993C4×C4⋊C4—111no—
994C4×C4⋊C4—111no—
995C4×C4⋊C4—111no—
996C4×C4⋊C4—111no—
997C4×C4⋊C4—111no—
998C4×C4⋊C4—111no—
999C4×C22⋊C4—111no—
1000C4×C22⋊C4—111no—
1001C4×C22⋊C4—111no—
1002C4×C22⋊C4—111no—
1003C4×C22⋊C4—111no—
1004C4×C22⋊C4—111no—
1005C4×C22⋊C4—111no—
1006C4×C22⋊C4—111no—
1007C4×C22⋊C4—111no—
1008C4×C22⋊C4—111no—
1009C4×C22⋊C4C2×D1111yescharacteristic
1010C4×C22⋊C4C2×D1111yescharacteristic, complemented
1011C22×C11—22no—
1012C22×C11—22no—
1013C22×C11—22no—
1014C22×C11—22no—
1015C22×C11—22no—
1016C22×C11—22no—
1017C22×C11—22no—
1018C22×C11—22no—
1019C22×C11—22no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—88no—
1039C22×C11C2×C4×D414yes—
1040C22×C11C24×C411yescharacteristic
1041C22×C11C23×D411yescharacteristic
1042C22×C11C22×#4111yescharacteristic
1043C22×C11C2×H(5,𝔽2)11yescharacteristic
1044C22×C11C2×H(5,𝔽2)11yescharacteristic
1045C22×C11#58511yescharacteristic
1046C22×C11#58511yescharacteristic
1047C2×D11—22no—
1048C2×D11—22no—
1049C2×D11—22no—
1050C2×D11—22no—
1051C2×D11—22no—
1052C2×D11—22no—
1053C2×D11—22no—
1054C2×D11—22no—
1055C2×D11—22no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—88no—
1069C4×C11—22no—
1070C4×C11—22no—
1071C4×C11—22no—
1072C4×C11—22no—
1073C4×C11—22no—
1074C4×C11—22no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080Dic11—22no—
1081Dic11—22no—
1082Dic11—22no—
1083Dic11—22no—
1084Dic11—22no—
1085Dic11—22no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11C2×C4×D414yes—
1092Dic11C2×C4×D414yes—
1093C25—111no—
1094C25C22×D1111yescharacteristic
1095C2×#41—118no—
1096C2×#41—224no—
1097C2×#41—224no—
1098C22×Q8—111no—
1099C22×D4—118no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C22×D4—111no—
1110C22×D4—111no—
1111C22×D4—111no—
1112C22×D4—224no—
1113C22×D4—224no—
1114C22×D4C22×D1111yescharacteristic
1115C22×D4C22×D1111yescharacteristic
1116C22×D4C22×D1111yescharacteristic
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—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—111no—
1131C23×C4C22×D1111yescharacteristic
1132C23×C4C22×D1111yescharacteristic
1133C23×C4C22×D1111yescharacteristic
1134C23×C4C22×D1111yescharacteristic
1135C23×C4C22×D1111yescharacteristic
1136#127—118no—
1137#127—118no—
1138#124—118no—
1139#124—118no—
1140#121—118no—
1141#121—118no—
1142#121—118no—
1143#121—118no—
1144#120—118no—
1145#120—118no—
1146#120—118no—
1147#120C4×D1118yescomplemented
1148C4×Q8—224no—
1149C4×Q8—224no—
1150C4×D4—24no—
1151C4×D4—42no—
1152C4×D4—224no—
1153C4×D4—224no—
1154C4×D4—224no—
1155C4×D4—224no—
1156C4×D4—224no—
1157C4×D4—224no—
1158C4×D4—224no—
1159C4×D4—224no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163C4×D4—224no—
1164C4×D4—224no—
1165C4×D4—442no—
1166C4×D4—442no—
1167C4×D4—442no—
1168C4×D4—442no—
1169C4×D4—442no—
1170C4×D4—442no—
1171C4×D4—442no—
1172#117—118no—
1173#117—118no—
1174#117—224no—
1175#117—224no—
1176#117—224no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4—111no—
1186C2×C4⋊C4—111no—
1187C2×C4⋊C4—111no—
1188C2×C4⋊C4—111no—
1189C2×C4⋊C4—111no—
1190C2×C4⋊C4—111no—
1191C2×C4⋊C4—111no—
1192C2×C4⋊C4—111no—
1193C2×C4⋊C4—111no—
1194C2×C4⋊C4—111no—
1195C2×C4⋊C4—111no—
1196C2×C4⋊C4—224no—
1197C2×C4⋊C4C22×D1111yescharacteristic
1198C2×C4⋊C4C22×D1111yescharacteristic
1199C2×C4⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4—24no—
1201C2×C22⋊C4—42no—
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—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—224no—
1239C2×C22⋊C4—224no—
1240C2×C22⋊C4—224no—
1241C2×C22⋊C4—442no—
1242C2×C22⋊C4—442no—
1243C2×C22⋊C4—442no—
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C22⋊C4C22×D1111yescharacteristic
1250C2×C22⋊C4C22×D1111yescharacteristic
1251C2×C22⋊C4C22×D1111yescharacteristic
1252C2×C22⋊C4C22×D1111yescharacteristic
1253C2×C22⋊C4C22×D1111yescharacteristic
1254C2×C22⋊C4C22×D1111yescharacteristic
1255C2×C22⋊C4C22×D1111yescharacteristic
1256C2×C22⋊C4C22×D1111yescharacteristic
1257C2×C22⋊C4C22×D1111yescharacteristic
1258C2×C42—111no—
1259C2×C42—111no—
1260C2×C42—111no—
1261C2×C42—111no—
1262C2×C42—111no—
1263C2×C42—111no—
1264C2×C42—111no—
1265C2×C42—111no—
1266C2×C42—111no—
1267C2×C42—111no—
1268C2×C42—111no—
1269C2×C42—111no—
1270C2×C42—111no—
1271C2×C42—111no—
1272C2×C42—111no—
1273C2×C42—111no—
1274C2×C42—111no—
1275C2×C42—111no—
1276C2×C42—111no—
1277C2×C42—224no—
1278C2×C42—224no—
1279C2×C42—224no—
1280C2×C42C22×D1111yescharacteristic
1281C2×C42C22×D1111yescharacteristic
1282C2×C42C22×D1111yescharacteristic
1283#95—111no—
1284#95—111no—
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95—111no—
1298#95—111no—
1299#95—111no—
1300#95—111no—
1301#95C22×D1111yescharacteristic
1302#95C22×D1111yescharacteristic
1303#95C22×D1111yescharacteristic
1304#95C22×D1111yescharacteristic
1305#95C22×D1111yescharacteristic
1306#95C22×D1111yescharacteristic
1307C2×C11—24no—
1308C2×C11—42no—
1309C2×C11—42no—
1310C2×C11—42no—
1311C2×C11C22×C4×D411yescharacteristic
1312C2×C11C4×H(5,𝔽2)11yescharacteristic
1313C2×C11C4×H(5,𝔽2)11yescharacteristic
1314C2×C11#348811yescharacteristic
1315C2×C11#348811yescharacteristic
1316C2×C11#350811yescharacteristic
1317C2×C11#351011yescharacteristic
1318D11—42no—
1319D11—42no—
1320D11—42no—
1321C24—22no—
1322C24—22no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—41no—
1327C24—111no—
1328C24—111no—
1329C24—111no—
1330C24—114no—
1331C24—222no—
1332C24—222no—
1333C24—441no—
1334C24—441no—
1335C24—441no—
1336C24—441no—
1337C24C2×C4×D1114yes—
1338C24C23×D1111yescharacteristic
1339C24C23×D1111yescharacteristic
1340C24C23×D1111yescharacteristic
1341C24C23×D1111yescharacteristic
1342#41—2232no—
1343C2×Q8—114no—
1344C2×Q8—222no—
1345C2×Q8—222no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—114no—
1353C2×D4—114no—
1354C2×D4—114no—
1355C2×D4—114no—
1356C2×D4—114no—
1357C2×D4—114no—
1358C2×D4—114no—
1359C2×D4—114no—
1360C2×D4—114no—
1361C2×D4—114no—
1362C2×D4—114no—
1363C2×D4—114no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—2232no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4C2×C4×D1114yes—
1390C2×D4C2×C4×D1114yes—
1391C2×D4C2×C4×D1114yes—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—114no—
1408C22×C4—114no—
1409C22×C4—114no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—114no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—111no—
1419C22×C4—114no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
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—441no—
1447C22×C4—441no—
1448C22×C4—441no—
1449C22×C4—441no—
1450C22×C4—441no—
1451C22×C4—441no—
1452C22×C4—441no—
1453C22×C4—441no—
1454C22×C4—441no—
1455C22×C4—441no—
1456C22×C4—441no—
1457C22×C4—441no—
1458C22×C4—441no—
1459C22×C4—441no—
1460C22×C4—441no—
1461C22×C4—441no—
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465C22×C4C23×D1111yescharacteristic
1466C22×C4C23×D1111yescharacteristic
1467C22×C4C23×D1111yescharacteristic
1468C22×C4C23×D1111yescharacteristic
1469C22×C4C23×D1111yescharacteristic
1470C22×C4C23×D1111yescharacteristic
1471C22×C4C23×D1111yescharacteristic
1472C22×C4C23×D1111yescharacteristic
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—41no—
1476C4⋊C4—114no—
1477C4⋊C4—114no—
1478C4⋊C4—114no—
1479C4⋊C4—114no—
1480C4⋊C4—222no—
1481C4⋊C4—222no—
1482C4⋊C4—222no—
1483C4⋊C4—222no—
1484C4⋊C4—222no—
1485C4⋊C4—222no—
1486C4⋊C4—222no—
1487C4⋊C4—222no—
1488C4⋊C4—222no—
1489C4⋊C4—222no—
1490C4⋊C4—222no—
1491C4⋊C4—222no—
1492C4⋊C4—441no—
1493C4⋊C4—441no—
1494C4⋊C4—441no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—114no—
1506C22⋊C4—114no—
1507C22⋊C4—114no—
1508C22⋊C4—114no—
1509C22⋊C4—114no—
1510C22⋊C4—114no—
1511C22⋊C4—114no—
1512C22⋊C4—114no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—222no—
1516C22⋊C4—222no—
1517C22⋊C4—222no—
1518C22⋊C4—222no—
1519C22⋊C4—222no—
1520C22⋊C4—222no—
1521C22⋊C4—222no—
1522C22⋊C4—222no—
1523C22⋊C4—222no—
1524C22⋊C4—222no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C22⋊C4—441no—
1533C22⋊C4—441no—
1534C22⋊C4—441no—
1535C22⋊C4—441no—
1536C22⋊C4—441no—
1537C22⋊C4—441no—
1538C22⋊C4—441no—
1539C22⋊C4—441no—
1540C22⋊C4—441no—
1541C22⋊C4C2×C4×D1114yes—
1542C22⋊C4C2×C4×D1114yes—
1543C22⋊C4C2×C4×D1114yes—
1544C22⋊C4D4×D1114yes—
1545C42—22no—
1546C42—41no—
1547C42—41no—
1548C42—114no—
1549C42—114no—
1550C42—114no—
1551C42—114no—
1552C42—222no—
1553C42—222no—
1554C42—222no—
1555C42—222no—
1556C42—222no—
1557C42—222no—
1558C42—222no—
1559C42—222no—
1560C42—222no—
1561C42—441no—
1562C42—441no—
1563C42—441no—
1564C42—441no—
1565C42—441no—
1566C42—441no—
1567C11#3426911yescharacteristic, complemented, Sylow
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—28no—
1591C23—44no—
1592C23—44no—
1593C23—82no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—112no—
1598C23—112no—
1599C23—112no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—228no—
1619C23—444no—
1620C23—444no—
1621C23—882no—
1622C23—882no—
1623C23—882no—
1624C23—882no—
1625C23C22×C4×D1112yes—
1626C23C22×C4×D1112yes—
1627C23C22×C4×D1112yes—
1628C23C22×C4×D1112yes—
1629C23C2×D4×D1112yes—
1630C23#41×D1112yes—
1631C23C24×D1111yescharacteristic
1632Q8—228no—
1633D4—28no—
1634D4—44no—
1635D4—44no—
1636D4—228no—
1637D4—228no—
1638D4—228no—
1639D4—228no—
1640D4—228no—
1641D4—228no—
1642D4—444no—
1643D4—444no—
1644D4—444no—
1645D4—444no—
1646D4—444no—
1647D4—444no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4—1116no—
1681C2×C4—112no—
1682C2×C4—112no—
1683C2×C4—112no—
1684C2×C4—112no—
1685C2×C4—112no—
1686C2×C4—112no—
1687C2×C4—112no—
1688C2×C4—112no—
1689C2×C4—112no—
1690C2×C4—112no—
1691C2×C4—112no—
1692C2×C4—112no—
1693C2×C4—228no—
1694C2×C4—228no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—444no—
1723C2×C4—444no—
1724C2×C4—444no—
1725C2×C4—444no—
1726C2×C4—882no—
1727C2×C4—882no—
1728C2×C4—882no—
1729C2×C4—882no—
1730C2×C4—882no—
1731C2×C4—882no—
1732C2×C4—882no—
1733C2×C4C22×C4×D1112yes—
1734C2×C4C22×C4×D1112yes—
1735C2×C4C22×C4×D1112yes—
1736C2×C4C2×D4×D1112yes—
1737C2×C4C2×D4×D1112yes—
1738C2×C4#6703712yes—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—88no—
1767C22—222no—
1768C22—222no—
1769C22—222no—
1770C22—222no—
1771C22—222no—
1772C22—222no—
1773C22—222no—
1774C22—222no—
1775C22—222no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—441no—
1783C22—441no—
1784C22—441no—
1785C22—441no—
1786C22—441no—
1787C22—441no—
1788C22—888no—
1789C22C4×D4×D1114yes—
1790C22C23×C4×D1111yescharacteristic
1791C22C22×D4×D1111yescharacteristic
1792C22C2×#6703711yescharacteristic
1793C22C2×#41×D1111yescharacteristic
1794C22#1062345311yescharacteristic
1795C22D11×H(5,𝔽2)11yescharacteristic
1796C22#1062345511yescharacteristic
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—114no—
1809C4—114no—
1810C4—222no—
1811C4—222no—
1812C4—222no—
1813C4—222no—
1814C4—222no—
1815C4—222no—
1816C4—441no—
1817C4—441no—
1818C4—441no—
1819C4—441no—
1820C4—441no—
1821C2—24no—
1822C2—42no—
1823C2—42no—
1824C2—42no—
1825C2—442no—
1826C2—442no—
1827C2—442no—
1828C2C2×C4×D4×D1111yescharacteristic
1829C2#1308182011yescharacteristic
1830C2C4×#6703711yescharacteristic
1831C2#1308227611yescharacteristic
1832C2#1308227911yescharacteristic
1833C2#1308248411yescharacteristic
1834C2#1308250411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×#10623123C2
hypercenter#2358D11
hypocenterC11#34269
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#10623017C2semidirect
3. C2×C4×#4341C2semidirect
4. #13071690C2semidirect
5. #13071688C2semidirect
6. #13071684C2semidirect
7. #13071682C2semidirect
8. #13071679C2semidirect
9. #13071679C2semidirect
10. #13071678C2semidirect
11. #13071677C2semidirect
12. #13071600C2semidirect
13. #13071598C2semidirect
14. #13071596C2semidirect
15. #13071595C2semidirect
16. #13071595C2semidirect
17. #13071593C2semidirect
18. #13071592C2semidirect
19. #13071308C2semidirect
20. #13071306C2semidirect
21. #13071304C2semidirect
22. #13071302C2semidirect
23. #13071203C2semidirect
24. #13071128C2semidirect
25. C4×#66937C2semidirect
26. #13071126C2semidirect
27. C4×#66992C2semidirect
28. #13071095C2semidirect
29. C2×#10622570C2semidirect
30. #13070971C2semidirect
31. C11×#2358C2semidirect
36. C2×C4×D4×C11C22semidirect
48. C2×D4×Dic11C22semidirect
54. C2×C4×C22⋊D11C22semidirect
55. C2×C4×C22⋊D11C22semidirect
56. C2×C4×C22⋊D11C22semidirect
61. C22×C4×Dic11C22semidirect
62. #10623123C4semidirect
64. C2×#66946C22semidirect
65. C2×#66945C22semidirect
66. C2×#66940C22semidirect
78. C2×(C22⋊D11)⋊C4C22semidirect
79. C2×(C22⋊D11)⋊C4C22semidirect
80. C2×(C22⋊D11)⋊C4C22semidirect
86. C2×#66930C22semidirect
87. C2×C4×D44C22semidirect
88. C2×C42×D11C22semidirect
89. C2×C4×Dic22C22semidirect
90. C11×#390C22semidirect
91. C11×#388C22semidirect
92. C11×#388C22semidirect
94. C11×#386C22semidirect
95. C11×#386C22semidirect
97. C11×#385C22semidirect
99. C4×C11×C22⋊C4C22semidirect
100. #10622834C22semidirect
102. #10622833C22semidirect
103. #10622833C22semidirect
105. #10622826C22semidirect
106. #10622826C22semidirect
108. #10622823C22semidirect
110. C4×C22⋊Dic11C22semidirect
111. #10622603C22semidirect
112. #10622603C22semidirect
113. #10622602C22semidirect
114. #10622602C22semidirect
115. #10622601C22semidirect
116. C4⋊C4×Dic11C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. #10622585C22semidirect
119. #10622585C22semidirect
121. #10622571C22semidirect
122. #10622571C22semidirect
131. #10622570C22semidirect
132. #10622570C22semidirect
133. #10622570C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
136. #10622570C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
141. #10622564C22semidirect
142. #10622564C22semidirect
144. #10622563C22semidirect
146. #10622559C22semidirect
147. #10622558C22semidirect
148. #10622558C22semidirect
149. #10622557C22semidirect
150. #10622557C22semidirect
151. #10622555C22semidirect
152. #10622555C22semidirect
155. C22⋊C4×Dic11C22semidirect
156. C22⋊C4×Dic11C22semidirect
157. #10622553C22semidirect
158. #10622553C22semidirect
159. #10622552C22semidirect
160. C4×(C2×D11)⋊C4C22semidirect
161. C4×(C2×D11)⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. C4×Dic11⋊C4C22semidirect
165. C4×Dic11⋊C4C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622281C22semidirect
171. #10622281C22semidirect
172. #10622280C22semidirect
173. #10622280C22semidirect
174. #10622279C22semidirect
175. #10622279C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
189. #10622259C22semidirect
202. C22×C22⋊D11C2×C4semidirect
222. C2×#4341C2×C4semidirect
233. C11×#120C2×C4semidirect
258. #67006C2×C4semidirect
275. #66993C2×C4semidirect
276. #66993C2×C4semidirect
277. #66992C2×C4semidirect
278. #66992C2×C4semidirect
279. #66990C2×C4semidirect
358. #66938C2×C4semidirect
359. #66938C2×C4semidirect
360. #66937C2×C4semidirect
361. #66937C2×C4semidirect
362. #66935C2×C4semidirect
375. #66930C2×C4semidirect
376. #66930D4semidirect
669. #2358D11semidirect
830. C2×Dic11C4×D4semidirect
893. C2×C4×D4C2×D11semidirect
930. #390C2×D11semidirect
949. #388C2×D11semidirect
950. #388C2×D11semidirect
969. #386C2×D11semidirect
970. #386C2×D11semidirect
982. #385C2×D11semidirect
1010. C4×C22⋊C4C2×D11semidirect
1147. #120C4×D11semidirect
1567. C11#34269semidirect

Maximal subgroups

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

subgroupindex
C2×#106231232
C2×#106230172
C2×C4×#43412
#130716902
#130716882
#130716842
#130716822
#130716792
#130716782
#130716772
#130716002
#130715982
#130715962
#130715952
#130715932
#130715922
#130713082
#130713062
#130713042
#130713022
#130712032
#130711282
C4×#669372
#130711262
C4×#669922
#130710952
C2×#106225702
#130709712
C11×#23582
#3426911