Finite Group Databasebeta

← #14915221

Subgroups — #14915221

Order 2816.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071752C211yesmaximal, characteristic, complemented
2#13071740C211yesmaximal, characteristic, complemented
3#13071740C211yesmaximal, characteristic, complemented
4#13071728C211yesmaximal, characteristic, complemented
5#13071701C211yesmaximal, characteristic, complemented
6#13071691C211yesmaximal, characteristic, complemented
7#13071668C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic, complemented
9#13071658C211yesmaximal, characteristic, complemented
10#13071636C211yesmaximal, characteristic, complemented
11#13071625C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071600C211yesmaximal, characteristic, complemented
14#13071600C211yesmaximal, characteristic, complemented
15#13071600C211yesmaximal, characteristic, complemented
16#13071600C211yesmaximal, characteristic, complemented
17#13071431C211yesmaximal, characteristic, complemented
18#13071410C211yesmaximal, characteristic, complemented
19#13071395C211yesmaximal, characteristic, complemented
20#13071383C211yesmaximal, characteristic, complemented
21#13071249C211yesmaximal, characteristic, complemented
22#126×Dic11C211yesmaximal, characteristic, complemented
23#124×Dic11C211yesmaximal, characteristic, complemented
24#123×Dic11C211yesmaximal, characteristic, complemented
25#121×Dic11C211yesmaximal, characteristic, complemented
26#13071061C211yesmaximal, characteristic, complemented
27C2×#10622564C211yesmaximal, characteristic, complemented
28#13070977C211yesmaximal, characteristic, complemented
29#13070969C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic
32C11×#538C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#120C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C22⋊Dic11C2211yescharacteristic
49C22×C22⋊Dic11C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C22×C22⋊Dic11C2211yescharacteristic
52C2×Q8×Dic11C2211yescharacteristic, complemented
53C2×D4×Dic11C2211yescharacteristic
54C2×D4×Dic11C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×D4×Dic11C2211yescharacteristic
57C2×D4×Dic11C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×D4×Dic11C2211yescharacteristic
60C2×D4×Dic11C2211yescharacteristic
61C2×D4×Dic11C2211yescharacteristic, complemented
62C2×#66979C2211yescharacteristic, complemented
63C22×C4⋊Dic11C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic
65C22×C4×Dic11C2211yescharacteristic, complemented
66#10622843C2211yescharacteristic, complemented
67#10622843C2211yescharacteristic, complemented
68#10622843C2211yescharacteristic, complemented
69#10622834C2211yescharacteristic
70#10622834C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622834C2211yescharacteristic
73#10622834C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622833C2211yescharacteristic, complemented
88#10622825C2211yescharacteristic, complemented
89#10622824C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93C4×C22⋊Dic11C2211yescharacteristic
94C4×C22⋊Dic11C2211yescharacteristic, complemented
95C4×C22⋊Dic11C2211yescharacteristic, complemented
96C4×C22⋊Dic11C2211yescharacteristic, complemented
97C2×C11⋊#95C2211yescharacteristic
98C2×C11⋊#95C2211yescharacteristic
99C2×C11⋊#95C2211yescharacteristic, complemented
100#10622598C2211yescharacteristic, complemented
101#10622598C2211yescharacteristic, complemented
102#10622598C2211yescharacteristic, complemented
103#10622598C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116C4⋊C4×Dic11C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118C4⋊C4×Dic11C2211yescharacteristic, complemented
119C4⋊C4×Dic11C2211yescharacteristic, complemented
120C4⋊C4×Dic11C2211yescharacteristic, complemented
121C4⋊C4×Dic11C2211yescharacteristic, complemented
122C4⋊C4×Dic11C2211yescharacteristic, complemented
123C4⋊C4×Dic11C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic
140#10622564C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622564C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622563C2211yescharacteristic
149#10622563C2211yescharacteristic
150#10622563C2211yescharacteristic
151#10622563C2211yescharacteristic
152#10622563C2211yescharacteristic
153#10622563C2211yescharacteristic
154#10622563C2211yescharacteristic
155#10622563C2211yescharacteristic
156#10622563C2211yescharacteristic, complemented
157#10622563C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic
159C22⋊C4×Dic11C2211yescharacteristic
160C22⋊C4×Dic11C2211yescharacteristic
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163C22⋊C4×Dic11C2211yescharacteristic
164C22⋊C4×Dic11C2211yescharacteristic
165C22⋊C4×Dic11C2211yescharacteristic
166C22⋊C4×Dic11C2211yescharacteristic
167C22⋊C4×Dic11C2211yescharacteristic
168C22⋊C4×Dic11C2211yescharacteristic
169C22⋊C4×Dic11C2211yescharacteristic
170C22⋊C4×Dic11C2211yescharacteristic
171C22⋊C4×Dic11C2211yescharacteristic
172C22⋊C4×Dic11C2211yescharacteristic
173C22⋊C4×Dic11C2211yescharacteristic
174C22⋊C4×Dic11C2211yescharacteristic, complemented
175C22⋊C4×Dic11C2211yescharacteristic, complemented
176C22⋊C4×Dic11C2211yescharacteristic, complemented
177C22⋊C4×Dic11C2211yescharacteristic, complemented
178C22⋊C4×Dic11C2211yescharacteristic, complemented
179C22⋊C4×Dic11C2211yescharacteristic, complemented
180#10622550C2211yescharacteristic, complemented
181#10622549C2211yescharacteristic, complemented
182C4×C4⋊Dic11C2211yescharacteristic, complemented
183C4×C4⋊Dic11C2211yescharacteristic, complemented
184C4×C4⋊Dic11C2211yescharacteristic, complemented
185#10622545C2211yescharacteristic, complemented
186#10622545C2211yescharacteristic, complemented
187C42×Dic11C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C11×#126C2×C418yescomplemented
214C11×#126C2×C418yescomplemented
215C11×#124C2×C418yescomplemented
216C11×#124C2×C418yescomplemented
217C11×#123C2×C418yescomplemented
218C11×#123C2×C418yescomplemented
219C11×C22⋊Q8C2×C418yescomplemented
220C11×#121C2×C418yescomplemented
221C11×#121C2×C418yescomplemented
222C11×#121C2×C418yescomplemented
223C11×#120C2×C418yescomplemented
224C11×#120C2×C418yescomplemented
225C4×D4×C11C2×C418yescomplemented
226C4×D4×C11C2×C418yescomplemented
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2×C418yescomplemented
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×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×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C22⋊Dic11—24no—
251C2×C22⋊Dic11—24no—
252C2×C22⋊Dic11—42no—
253C2×C22⋊Dic11—42no—
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
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
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282Q8×Dic11—42no—
283D4×Dic11—24no—
284D4×Dic11—24no—
285D4×Dic11—24no—
286D4×Dic11—24no—
287D4×Dic11—42no—
288D4×Dic11—42no—
289D4×Dic11—42no—
290D4×Dic11—42no—
291D4×Dic11—42no—
292#66979—42no—
293C2×C4⋊Dic11—42no—
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4×Dic11—42no—
311C2×C4×Dic11—42no—
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34283—111nomaximal, Sylow
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C2×Q8×C11—41no—
390C2×Q8×C11—41no—
391C2×Q8×C11C22×C414yes—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11C22×C414yes—
407C2×D4×C11C22×C414yes—
408C2×D4×C11C22×C414yes—
409C2×D4×C11C22×C414yes—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yes—
412C2×D4×C11C22×C414yes—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11C22×C414yes—
422C22×C4×C11C22×C414yes—
423C22×C4×C11C22×C414yes—
424C22×C4×C11C22×C414yes—
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C11×C4⋊C4C22×C414yes—
488C11×C4⋊C4C22×C414yes—
489C11×C4⋊C4C22×C414yes—
490C11×C4⋊C4C22×C414yes—
491C11×C4⋊C4C22×C414yes—
492C11×C4⋊C4C22×C414yes—
493C11×C22⋊C4C22×C414yes—
494C11×C22⋊C4C22×C414yes—
495C11×C22⋊C4C22×C414yes—
496C11×C22⋊C4C22×C414yes—
497C11×C22⋊C4C22×C414yes—
498C11×C22⋊C4C22×C414yes—
499C11×C22⋊C4C22×C414yes—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4C22×C414yes—
504C11×C22⋊C4C22×C414yes—
505C11×C22⋊C4C22×C414yes—
506C11×C22⋊C4C22×C414yes—
507C42×C11C22×C414yes—
508C42×C11C22×C414yes—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11#4114yes—
536C22⋊Dic11#4114yes—
537C4⋊Dic11—22no—
538C4⋊Dic11—22no—
539C4⋊Dic11—22no—
540C4⋊Dic11—22no—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—22no—
544C4⋊Dic11—22no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C2×#538D1111yescharacteristic
578#2374—111no—
579#2373—111no—
580#2373—111no—
581#2372—111no—
582#2368—111no—
583#2367—111no—
584#2364—111no—
585#2364—111no—
586#2363—111no—
587#2361—111no—
588#2360—111no—
589#2359—111no—
590#2358—111no—
591#2358—111no—
592#2358—111no—
593#2358—111no—
594#2337—111no—
595#2335—111no—
596#2334—111no—
597#2333—111no—
598#2318—111no—
599C4×#126—111no—
600C4×#124—111no—
601C4×#123—111no—
602C4×#121—111no—
603#2290—111no—
604C2×#388—111no—
605#2275—111no—
606#2273—111no—
607C42×D4—111no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—28no—
637C23×C11—44no—
638C23×C11—44no—
639C23×C11—82no—
640C23×C11—82no—
641C23×C11—82no—
642C23×C11—82no—
643C23×C11C23×C412yes—
644C23×C11C23×C412yes—
645C23×C11C23×C412yes—
646C23×C11C23×C412yes—
647C23×C11C23×C412yes—
648C23×C11C2×#4112yes—
649C23×C11C2×#4112yes—
650C23×C11C2511yescharacteristic
651Q8×C11—44no—
652D4×C11—28no—
653D4×C11—28no—
654D4×C11—44no—
655D4×C11—44no—
656D4×C11—44no—
657D4×C11—44no—
658D4×C11—44no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—44no—
680C2×C4×C11—44no—
681C2×C4×C11—44no—
682C2×C4×C11—44no—
683C2×C4×C11C23×C412yes—
684C2×C4×C11C23×C412yes—
685C2×C4×C11C23×C412yes—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—44no—
738C2×Dic11—44no—
739C2×Dic11—82no—
740C2×Dic11—82no—
741C2×Dic11—82no—
742C2×Dic11—82no—
743C2×Dic11—82no—
744C2×Dic11—82no—
745C2×Dic11—82no—
746C2×Dic11—82no—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749C2×Dic11C2×#4112yes—
750C2×Dic11C2×#4112yes—
751C2×Dic11H(5,𝔽2)12yes—
752C2×Dic11H(5,𝔽2)12yes—
753#538Dic11116yescomplemented
754C2×#126C2×D1111yescharacteristic
755C2×#126C2×D1111yescharacteristic
756C2×#124C2×D1111yescharacteristic
757C2×#124C2×D1111yescharacteristic
758C2×#123C2×D1111yescharacteristic
759C2×#123C2×D1111yescharacteristic
760C2×C22⋊Q8C2×D1111yescharacteristic
761C2×#121C2×D1111yescharacteristic
762C2×#121C2×D1111yescharacteristic
763C2×#121C2×D1111yescharacteristic
764C2×#120C2×D1111yescharacteristic
765C2×#120C2×D1111yescharacteristic
766C2×C4×Q8—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4C2×D1111yescharacteristic
777C2×C4×D4C2×D1111yescharacteristic
778C2×#117—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4C2×D1111yescharacteristic
785C22×C42—111no—
786C22×C42—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#390—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#383—111no—
860#382—111no—
861#381—111no—
862#380—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903#376—111no—
904#376—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—88no—
944C22×C11C4×#4114yes—
945C22×C11C24×C411yescharacteristic
946C22×C11C22×#4111yescharacteristic
947C22×C11C22×#4111yescharacteristic
948C22×C11C2×H(5,𝔽2)11yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11#58511yescharacteristic
951C22×C11#58511yescharacteristic
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962Dic11—22no—
963Dic11—22no—
964Dic11—22no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978C25C22×D1111yescharacteristic
979C22×Q8C22×D1111yescharacteristic
980C22×D4C22×D1111yescharacteristic
981C22×D4C22×D1111yescharacteristic
982C22×D4C22×D1111yescharacteristic
983C22×D4C22×D1111yescharacteristic
984C22×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4C22×D1111yescharacteristic
1000C23×C4C22×D1111yescharacteristic
1001C23×C4C22×D1111yescharacteristic
1002C23×C4C22×D1111yescharacteristic
1003#126C2×Dic1118yescomplemented
1004#126C2×Dic1118yescomplemented
1005#124C2×Dic1118yescomplemented
1006#124C2×Dic1118yescomplemented
1007#123C2×Dic1118yescomplemented
1008#123C2×Dic1118yescomplemented
1009C22⋊Q8C2×Dic1118yescomplemented
1010#121C2×Dic1118yescomplemented
1011#121C2×Dic1118yescomplemented
1012#121C2×Dic1118yescomplemented
1013#120C2×Dic1118yescomplemented
1014#120C2×Dic1118yescomplemented
1015C4×Q8—442no—
1016C4×D4—224no—
1017C4×D4—224no—
1018C4×D4—224no—
1019C4×D4—224no—
1020C4×D4—442no—
1021C4×D4—442no—
1022C4×D4—442no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4C2×Dic1118yescomplemented
1026C4×D4C2×Dic1118yescomplemented
1027#117—442no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—442no—
1045C2×C4⋊C4C22×D1111yescharacteristic
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—224no—
1080C2×C22⋊C4—224no—
1081C2×C22⋊C4—442no—
1082C2×C22⋊C4—442no—
1083C2×C22⋊C4C2×Dic1118yescomplemented
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—442no—
1123C2×C42—442no—
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166C2×C11—24no—
1167C2×C11—42no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11—42no—
1171C2×C11C2×C4×#4111yescharacteristic
1172C2×C11C4×H(5,𝔽2)11yescharacteristic
1173C2×C11C4×H(5,𝔽2)11yescharacteristic
1174C2×C11#351311yescharacteristic
1175C2×C11#351411yescharacteristic
1176C2×C11#351911yescharacteristic
1177C2×C11#352111yescharacteristic
1178C24—22no—
1179C24—22no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24C22×Dic1114yes—
1185C24C23×D1111yescharacteristic
1186C24C23×D1111yescharacteristic
1187C24C23×D1111yescharacteristic
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C2×Q8—41no—
1191C2×Q8—41no—
1192C2×Q8C22×Dic1114yes—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4C22×Dic1114yes—
1208C2×D4C22×Dic1114yes—
1209C2×D4C22×Dic1114yes—
1210C2×D4C22×Dic1114yes—
1211C2×D4C22×Dic1114yes—
1212C2×D4C22×Dic1114yes—
1213C2×D4C22×Dic1114yes—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4C22×Dic1114yes—
1275C22×C4C22×Dic1114yes—
1276C22×C4C22×Dic1114yes—
1277C22×C4C22×Dic1114yes—
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—222no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—441no—
1297C4⋊C4—441no—
1298C4⋊C4—441no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4C22×Dic1114yes—
1305C4⋊C4C22×Dic1114yes—
1306C4⋊C4C22×Dic1114yes—
1307C4⋊C4C22×Dic1114yes—
1308C4⋊C4C22×Dic1114yes—
1309C4⋊C4C22×Dic1114yes—
1310C22⋊C4—114no—
1311C22⋊C4—114no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4C22×Dic1114yes—
1339C22⋊C4C22×Dic1114yes—
1340C22⋊C4C22×Dic1114yes—
1341C22⋊C4C22×Dic1114yes—
1342C22⋊C4C22×Dic1114yes—
1343C22⋊C4C22×Dic1114yes—
1344C22⋊C4C22×Dic1114yes—
1345C22⋊C4C22×Dic1114yes—
1346C22⋊C4C22×Dic1114yes—
1347C22⋊C4C22×Dic1114yes—
1348C22⋊C4C22×Dic1114yes—
1349C22⋊C4C22×Dic1114yes—
1350C22⋊C4C22×Dic1114yes—
1351C22⋊C4C22×Dic1114yes—
1352C42—222no—
1353C42—222no—
1354C42—222no—
1355C42—222no—
1356C42—222no—
1357C42—222no—
1358C42—222no—
1359C42—222no—
1360C42—441no—
1361C42—441no—
1362C42—441no—
1363C42—441no—
1364C42—441no—
1365C42—441no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42C22×Dic1114yes—
1377C42C22×Dic1114yes—
1378C11#3428311yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—44no—
1409C23—44no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23#41×D1112yes—
1415C23#41×D1112yes—
1416C23C23×Dic1112yes—
1417C23C23×Dic1112yes—
1418C23C23×Dic1112yes—
1419C23C23×Dic1112yes—
1420C23C23×Dic1112yes—
1421C23C24×D1111yescharacteristic
1422Q8—44no—
1423D4—28no—
1424D4—28no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—44no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—112no—
1455C2×C4—112no—
1456C2×C4—112no—
1457C2×C4—112no—
1458C2×C4—112no—
1459C2×C4—112no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4—882no—
1510C2×C4—882no—
1511C2×C4—882no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4C23×Dic1112yes—
1515C2×C4C23×Dic1112yes—
1516C2×C4C23×Dic1112yes—
1517C2×C4C23×Dic1112yes—
1518C2×C4C23×Dic1112yes—
1519C2×C4C23×Dic1112yes—
1520C2×C4C23×Dic1112yes—
1521C2×C4C23×Dic1112yes—
1522C2×C4C23×Dic1112yes—
1523C2×C4C23×Dic1112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—88no—
1559C22#41×Dic1114yes—
1560C22C2×#41×D1111yescharacteristic
1561C22C2×#41×D1111yescharacteristic
1562C22D11×H(5,𝔽2)11yescharacteristic
1563C22D11×H(5,𝔽2)11yescharacteristic
1564C22#1062345511yescharacteristic
1565C22#1062345511yescharacteristic
1566C22C24×Dic1111yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—222no—
1578C4—222no—
1579C4—222no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C4—441no—
1587C4—441no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2C2×#41×Dic1111yescharacteristic
1599C2H(5,𝔽2)×Dic1111yescharacteristic
1600C2H(5,𝔽2)×Dic1111yescharacteristic
1601C2#1308255211yescharacteristic
1602C2#1308256911yescharacteristic
1603C2#1308264011yescharacteristic
1604C2#1308268011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#538C2
socle, cosocleC23×C11C25
hypercenterC2×#538D11
hypocenterC11#34283
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #13071752C2semidirect
2. #13071740C2semidirect
3. #13071740C2semidirect
4. #13071728C2semidirect
5. #13071701C2semidirect
6. #13071691C2semidirect
7. #13071668C2semidirect
8. #13071668C2semidirect
9. #13071658C2semidirect
10. #13071636C2semidirect
11. #13071625C2semidirect
12. #13071612C2semidirect
13. #13071600C2semidirect
14. #13071600C2semidirect
15. #13071600C2semidirect
16. #13071600C2semidirect
17. #13071431C2semidirect
18. #13071410C2semidirect
19. #13071395C2semidirect
20. #13071383C2semidirect
21. #13071249C2semidirect
22. #126×Dic11C2semidirect
23. #124×Dic11C2semidirect
24. #123×Dic11C2semidirect
25. #121×Dic11C2semidirect
26. #13071061C2semidirect
27. C2×#10622564C2semidirect
28. #13070977C2semidirect
29. #13070969C2semidirect
30. C4×D4×Dic11C2semidirect
32. C11×#538C4semidirect
52. C2×Q8×Dic11C22semidirect
61. C2×D4×Dic11C22semidirect
62. C2×#66979C22semidirect
65. C22×C4×Dic11C22semidirect
66. #10622843C22semidirect
67. #10622843C22semidirect
68. #10622843C22semidirect
73. #10622834C22semidirect
86. #10622833C22semidirect
87. #10622833C22semidirect
88. #10622825C22semidirect
89. #10622824C22semidirect
94. C4×C22⋊Dic11C22semidirect
95. C4×C22⋊Dic11C22semidirect
96. C4×C22⋊Dic11C22semidirect
99. C2×C11⋊#95C22semidirect
100. #10622598C22semidirect
101. #10622598C22semidirect
102. #10622598C22semidirect
103. #10622598C22semidirect
104. #10622594C22semidirect
105. #10622594C22semidirect
106. #10622594C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622594C22semidirect
110. #10622594C22semidirect
111. #10622594C22semidirect
112. #10622594C22semidirect
113. #10622594C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. C4⋊C4×Dic11C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. C4⋊C4×Dic11C22semidirect
119. C4⋊C4×Dic11C22semidirect
120. C4⋊C4×Dic11C22semidirect
121. C4⋊C4×Dic11C22semidirect
122. C4⋊C4×Dic11C22semidirect
123. C4⋊C4×Dic11C22semidirect
140. #10622564C22semidirect
141. #10622564C22semidirect
142. #10622564C22semidirect
143. #10622564C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
156. #10622563C22semidirect
157. #10622563C22semidirect
174. C22⋊C4×Dic11C22semidirect
175. C22⋊C4×Dic11C22semidirect
176. C22⋊C4×Dic11C22semidirect
177. C22⋊C4×Dic11C22semidirect
178. C22⋊C4×Dic11C22semidirect
179. C22⋊C4×Dic11C22semidirect
180. #10622550C22semidirect
181. #10622549C22semidirect
182. C4×C4⋊Dic11C22semidirect
183. C4×C4⋊Dic11C22semidirect
184. C4×C4⋊Dic11C22semidirect
185. #10622545C22semidirect
186. #10622545C22semidirect
187. C42×Dic11C22semidirect
213. C11×#126C2×C4semidirect
214. C11×#126C2×C4semidirect
215. C11×#124C2×C4semidirect
216. C11×#124C2×C4semidirect
217. C11×#123C2×C4semidirect
218. C11×#123C2×C4semidirect
219. C11×C22⋊Q8C2×C4semidirect
220. C11×#121C2×C4semidirect
221. C11×#121C2×C4semidirect
222. C11×#121C2×C4semidirect
223. C11×#120C2×C4semidirect
224. C11×#120C2×C4semidirect
225. C4×D4×C11C2×C4semidirect
226. C4×D4×C11C2×C4semidirect
233. C2×C11×C22⋊C4C2×C4semidirect
753. #538Dic11semidirect
1003. #126C2×Dic11semidirect
1004. #126C2×Dic11semidirect
1005. #124C2×Dic11semidirect
1006. #124C2×Dic11semidirect
1007. #123C2×Dic11semidirect
1008. #123C2×Dic11semidirect
1009. C22⋊Q8C2×Dic11semidirect
1010. #121C2×Dic11semidirect
1011. #121C2×Dic11semidirect
1012. #121C2×Dic11semidirect
1013. #120C2×Dic11semidirect
1014. #120C2×Dic11semidirect
1025. C4×D4C2×Dic11semidirect
1026. C4×D4C2×Dic11semidirect
1083. C2×C22⋊C4C2×Dic11semidirect
1378. C11#34283semidirect

Maximal subgroups

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

subgroupindex
#130717522
#130717402
#130717282
#130717012
#130716912
#130716682
#130716582
#130716362
#130716252
#130716122
#130716002
#130714312
#130714102
#130713952
#130713832
#130712492
#126×Dic112
#124×Dic112
#123×Dic112
#121×Dic112
#130710612
C2×#106225642
#130709772
#130709692
C4×D4×Dic112
C2×C11×#5382
#3428311