Finite Group Databasebeta

← #14926719

Subgroups — #14926719

Order 2816.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2#13076981C211yesmaximal, characteristic, complemented
3#13076971C211yesmaximal, characteristic, complemented
4#13076959C211yesmaximal, characteristic, complemented
5#13076945C211yesmaximal, characteristic, complemented
6#13074756C211yesmaximal, characteristic, complemented
7#13074755C211yesmaximal, characteristic, complemented
8#13074745C211yesmaximal, characteristic, complemented
9#13074744C211yesmaximal, characteristic, complemented
10#13073689C211yesmaximal, characteristic, complemented
11#13073687C211yesmaximal, characteristic, complemented
12#13073674C211yesmaximal, characteristic, complemented
13#13073672C211yesmaximal, characteristic, complemented
14#13073201C211yesmaximal, characteristic, complemented
15#13072976C211yesmaximal, characteristic, complemented
16#13072749C211yesmaximal, characteristic, complemented
17#13072741C211yesmaximal, characteristic, complemented
18#13072380C211yesmaximal, characteristic, complemented
19#13072315C211yesmaximal, characteristic, complemented
20#13072251C211yesmaximal, characteristic, complemented
21#13072201C211yesmaximal, characteristic, complemented
22#13072158C211yesmaximal, characteristic, complemented
23#13072156C211yesmaximal, characteristic, complemented
24#13072053C211yesmaximal, characteristic, complemented
25#13071969C211yesmaximal, characteristic, complemented
26#13071274C211yesmaximal, characteristic, complemented
27#13071270C211yesmaximal, characteristic, complemented
28C4×#66992C211yesmaximal, characteristic, complemented
29C2×#10622570C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C11×#538—28no—
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#126C2211yescharacteristic, complemented
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×#124C2211yescharacteristic, complemented
38C2×C11×#123C2211yescharacteristic, complemented
39C2×C11×#123C2211yescharacteristic, complemented
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic, complemented
43C2×C11×#121C2211yescharacteristic, complemented
44C2×C11×#120C2211yescharacteristic
45C2×C11×#120C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C2×#67006C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C2×#67000C2211yescharacteristic, complemented
52C2×#66997C2211yescharacteristic, complemented
53C2×#66993C2211yescharacteristic
54C2×#66993C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic, complemented
60C2×#66992C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic, complemented
62C2×#66990C2211yescharacteristic
63C2×#66990C2211yescharacteristic
64C2×#66989C2211yescharacteristic, complemented
65C2×D4×Dic11C2211yescharacteristic
66C2×D4×Dic11C2211yescharacteristic
67C2×#66983C2211yescharacteristic, complemented
68C2×#66982C2211yescharacteristic, complemented
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic, complemented
71C22×(C2×D11)⋊C4C2211yescharacteristic
72C22×(C2×D11)⋊C4C2211yescharacteristic
73C22×Dic11⋊C4C2211yescharacteristic
74C22×C4×Dic11C2211yescharacteristic
75C22×C4×Dic11C2211yescharacteristic, complemented
76#10623091—28no—
77C2×#66951C2211yescharacteristic, complemented
78C2×#66947C2211yescharacteristic, complemented
79C2×#66938C2211yescharacteristic, complemented
80C2×#66937C2211yescharacteristic, complemented
81C2×#66935C2211yescharacteristic
82C2×#66931C2211yescharacteristic
83C2×#66929C2211yescharacteristic, complemented
84C2×#66928C2211yescharacteristic, complemented
85#10622860C2211yescharacteristic
86#10622844C2211yescharacteristic, complemented
87#10622842C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic, complemented
98#10622834C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic, complemented
105#10622823C2211yescharacteristic
106C4×C22⋊Dic11C2211yescharacteristic
107C4×C22⋊Dic11C2211yescharacteristic, complemented
108C4×C22⋊Dic11C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622606C2211yescharacteristic, complemented
112#10622604C2211yescharacteristic, complemented
113#10622604C2211yescharacteristic, complemented
114#10622603C2211yescharacteristic, complemented
115#10622603C2211yescharacteristic, complemented
116#10622603C2211yescharacteristic, complemented
117#10622603C2211yescharacteristic, complemented
118#10622603C2211yescharacteristic, complemented
119#10622603C2211yescharacteristic, complemented
120#10622601C2211yescharacteristic, complemented
121#10622596C2211yescharacteristic, complemented
122#10622593C2211yescharacteristic, complemented
123#10622592C2211yescharacteristic, complemented
124#10622589C2211yescharacteristic, complemented
125C4⋊C4×Dic11C2211yescharacteristic, complemented
126C4⋊C4×Dic11C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic
132#10622574C2211yescharacteristic
133#10622574C2211yescharacteristic, complemented
134#10622574C2211yescharacteristic, complemented
135#10622573C2211yescharacteristic
136#10622573C2211yescharacteristic
137#10622572C2211yescharacteristic, complemented
138#10622572C2211yescharacteristic, complemented
139#10622571C2211yescharacteristic
140#10622571C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic
142#10622570C2211yescharacteristic
143#10622570C2211yescharacteristic
144#10622570C2211yescharacteristic
145#10622570C2211yescharacteristic
146#10622570C2211yescharacteristic
147#10622570C2211yescharacteristic
148#10622570C2211yescharacteristic
149#10622570C2211yescharacteristic
150#10622570C2211yescharacteristic
151#10622570C2211yescharacteristic
152#10622570C2211yescharacteristic
153#10622570C2211yescharacteristic, complemented
154#10622570C2211yescharacteristic, complemented
155#10622570C2211yescharacteristic, complemented
156#10622570C2211yescharacteristic, complemented
157#10622570C2211yescharacteristic, complemented
158#10622570C2211yescharacteristic, complemented
159#10622570C2211yescharacteristic, complemented
160#10622570C2211yescharacteristic, complemented
161#10622569C2211yescharacteristic, complemented
162#10622569C2211yescharacteristic, complemented
163#10622568C2211yescharacteristic
164#10622566C2211yescharacteristic, complemented
165#10622561C2211yescharacteristic, complemented
166#10622561C2211yescharacteristic, complemented
167#10622560C2211yescharacteristic, complemented
168#10622559C2211yescharacteristic
169#10622558C2211yescharacteristic, complemented
170#10622558C2211yescharacteristic, complemented
171#10622558C2211yescharacteristic, complemented
172#10622558C2211yescharacteristic, complemented
173#10622558C2211yescharacteristic, complemented
174#10622558C2211yescharacteristic, complemented
175#10622557C2211yescharacteristic, complemented
176#10622557C2211yescharacteristic, complemented
177#10622555C2211yescharacteristic
178#10622555C2211yescharacteristic, complemented
179C22⋊C4×Dic11C2211yescharacteristic
180C22⋊C4×Dic11C2211yescharacteristic
181C22⋊C4×Dic11C2211yescharacteristic, complemented
182C22⋊C4×Dic11C2211yescharacteristic, complemented
183#10622553C2211yescharacteristic, complemented
184#10622553C2211yescharacteristic, complemented
185C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
186C4×C4⋊Dic11C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C42×Dic11C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11—24no—
204C22×C22⋊D11—42no—
205C22×C22⋊D11—42no—
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C22×C22⋊D11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C22×D44C2311yescharacteristic
225C22×D44C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#126—24no—
229C11×#126—24no—
230C11×#124—24no—
231C11×#124—24no—
232C11×#123—24no—
233C11×#123—24no—
234C11×C22⋊Q8—24no—
235C11×#121—24no—
236C11×#121—24no—
237C11×#121—24no—
238C11×#120—24no—
239C11×#120—24no—
240C4×D4×C11—24no—
241C4×D4×C11D418yescomplemented
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4—24no—
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265#67006—24no—
266C2×C22⋊Dic11—42no—
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
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288#67000—42no—
289#66997—42no—
290#66993—42no—
291#66993—42no—
292#66992—24no—
293#66992—24no—
294#66992—42no—
295#66992—42no—
296#66992—42no—
297#66992—42no—
298#66992—42no—
299#66990—24no—
300#66990—24no—
301#66989—42no—
302D4×Dic11—24no—
303D4×Dic11—24no—
304#66983—24no—
305#66982—24no—
306C4×C22⋊D11—24no—
307C4×C22⋊D11—42no—
308C2×(C2×D11)⋊C4—24no—
309C2×(C2×D11)⋊C4—42no—
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×C4⋊Dic11C2311yescharacteristic
336C2×C4⋊Dic11C2311yescharacteristic
337C2×C4⋊Dic11C2311yescharacteristic
338C2×Dic11⋊C4—42no—
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×Dic11⋊C4C2311yescharacteristic
351C2×Dic11⋊C4C2311yescharacteristic
352C2×Dic11⋊C4C2311yescharacteristic
353C2×Dic11⋊C4C2311yescharacteristic
354C2×C4×Dic11—42no—
355C2×C4×Dic11—42no—
356C2×C4×Dic11C2311yescharacteristic
357C2×C4×Dic11C2311yescharacteristic
358C2×C4×Dic11C2311yescharacteristic
359C2×C4×Dic11C2311yescharacteristic
360C2×C4×Dic11C2311yescharacteristic
361C2×C4×Dic11C2311yescharacteristic
362C2×C4×Dic11C2311yescharacteristic
363C2×C4×Dic11C2311yescharacteristic
364C2×C4×Dic11C2311yescharacteristic
365C2×C4×Dic11C2311yescharacteristic
366C2×C4×Dic11C2311yescharacteristic
367C2×C4×Dic11C2311yescharacteristic
368C2×C4×Dic11C2311yescharacteristic
369#66951—24no—
370#66947—24no—
371#66938—24no—
372#66937—24no—
373#66935—24no—
374#66931—24no—
375#66929—24no—
376#66928—24no—
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#35007—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C2×Q8×C11—22no—
421C2×Q8×C11—41no—
422C2×Q8×C11—41no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11C2×D414yes—
444C22×C4×C11—22no—
445C22×C4×C11—22no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—41no—
452C22×C4×C11—41no—
453C22×C4×C11—41no—
454C22×C4×C11C2×D414yes—
455C22×C4×C11C2×D414yescomplemented
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
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—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—41no—
505C2×C22⋊D11—416no—
506C22×Dic11—22no—
507C22×Dic11—22no—
508C22×Dic11—22no—
509C22×Dic11—22no—
510C22×Dic11—22no—
511C22×Dic11—22no—
512C22×Dic11—22no—
513C22×Dic11—22no—
514C22×Dic11—22no—
515C22×Dic11—22no—
516C22×Dic11—41no—
517C22×Dic11—41no—
518C22×Dic11—41no—
519C22×Dic11—41no—
520C22×Dic11#4114yes—
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532C22×Dic11C2411yescharacteristic
533C22×Dic11C2411yescharacteristic
534C2×D44—22no—
535C2×D44—22no—
536C2×D44—41no—
537C2×D44—41no—
538C2×D44—41no—
539C2×D44—41no—
540C2×C4×D11—22no—
541C2×C4×D11—41no—
542C2×C4×D11—41no—
543C2×Dic22—22no—
544C2×Dic22—41no—
545C2×Dic22—41no—
546C11×C4⋊C4—22no—
547C11×C4⋊C4—22no—
548C11×C4⋊C4—22no—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4C2×D414yescomplemented
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4C2×D414yes—
565C11×C22⋊C4C2×D414yescomplemented
566C42×C11—22no—
567C42×C11C2×D414yescomplemented
568C22⋊Dic11—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
588C22⋊Dic11#4114yes—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—22no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4—41no—
614C4⋊Dic11—22no—
615C4⋊Dic11—22no—
616C4⋊Dic11—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⋊C4—41no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631Dic11⋊C4—41no—
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—41no—
641C4×Dic11—41no—
642C4×Dic11—41no—
643C4×Dic11—41no—
644C4×Dic11—41no—
645C2×#538—111no—
646C2×#538D1111yescharacteristic, complemented
647#2860—111no—
648#2858—111no—
649#2856—111no—
650#2854—111no—
651#2662—111no—
652#2662—111no—
653#2661—111no—
654#2661—111no—
655#2555—111no—
656#2555—111no—
657#2554—111no—
658#2554—111no—
659#2512—111no—
660#2491—111no—
661#2472—111no—
662#2472—111no—
663#2445—111no—
664#2440—111no—
665#2433—111no—
666#2428—111no—
667#2424—111no—
668#2424—111no—
669#2416—111no—
670#2408—111no—
671#2321—111no—
672#2321—111no—
673C4×#121—111no—
674C2×#390—111no—
675C42×D4—111no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×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—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—44no—
708C23×C11—44no—
709C23×C11—44no—
710C23×C11—82no—
711C23×C11—82no—
712C23×C11—82no—
713C23×C11—82no—
714C23×C11C22×D412yes—
715C23×C11C22×D412yes—
716C23×C11C2×#4112yes—
717C23×C11C2×#4112yes—
718C23×C11C2511yescharacteristic
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—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—44no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—82no—
744C22×D11—82no—
745C22×D11—82no—
746C22×D11—82no—
747Q8×C11—82no—
748D4×C11—28no—
749D4×C11—44no—
750D4×C11—82no—
751D4×C11—82no—
752D4×C11—82no—
753D4×C11—82no—
754D4×C11—82no—
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—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—44no—
781C2×C4×C11—44no—
782C2×C4×C11—82no—
783C2×C4×C11—82no—
784C2×C4×C11C22×D412yes—
785C2×C4×C11C22×D412yes—
786C2×C4×C11C22×D412yes—
787C2×C4×C11C22×D412yes—
788C2×C4×C11C22×D412yes—
789C22⋊D11—44no—
790C22⋊D11—44no—
791C22⋊D11—44no—
792C22⋊D11—44no—
793C22⋊D11—44no—
794C22⋊D11—44no—
795C22⋊D11—82no—
796C22⋊D11—82no—
797C22⋊D11—82no—
798C22⋊D11—82no—
799C22⋊D11—82no—
800C22⋊D11—82no—
801C22⋊D11—82no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—28no—
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—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—44no—
836C2×Dic11—44no—
837C2×Dic11—44no—
838C2×Dic11—82no—
839C2×Dic11C2×#4112yes—
840C2×Dic11C2×#4112yes—
841C2×Dic11C2×#4112yes—
842C2×Dic11C2×#4112yes—
843C2×Dic11H(5,𝔽2)12yes—
844C2×Dic11H(5,𝔽2)12yes—
845C2×Dic11H(5,𝔽2)12yes—
846D44—82no—
847D44—82no—
848C4×D11—82no—
849Dic22—82no—
850C23×D4—111no—
851#538—28no—
852#538—228no—
853C2×C4⋊Q8—111no—
854C2×#127—111no—
855C2×#127—111no—
856C2×#126—111no—
857C2×#126—111no—
858C2×#126C2×D1111yescharacteristic, complemented
859C2×#126C2×D1111yescharacteristic, complemented
860C2×#124—111no—
861C2×#124—111no—
862C2×#124—111no—
863C2×#124—111no—
864C2×#124C2×D1111yescharacteristic, complemented
865C2×#124C2×D1111yescharacteristic, complemented
866C2×#123—111no—
867C2×#123—111no—
868C2×#123C2×D1111yescharacteristic, complemented
869C2×#123C2×D1111yescharacteristic, complemented
870C2×C22⋊Q8—111no—
871C2×C22⋊Q8C2×D1111yescharacteristic
872C2×#121—111no—
873C2×#121—111no—
874C2×#121—111no—
875C2×#121—111no—
876C2×#121—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121C2×D1111yescharacteristic
882C2×#121C2×D1111yescharacteristic, complemented
883C2×#121C2×D1111yescharacteristic, complemented
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120C2×D1111yescharacteristic
889C2×#120C2×D1111yescharacteristic
890C2×C4×D4—111no—
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4C2×D1111yescharacteristic
895C2×C4×D4C2×D1111yescharacteristic
896C22×C4⋊C4—111no—
897C22×C22⋊C4—111no—
898C22×C22⋊C4—111no—
899C22×C22⋊C4—111no—
900C22×C22⋊C4C2×D1111yescharacteristic
901C22×C42—111no—
902C22×C42—111no—
903#398—111no—
904#398—111no—
905#397—111no—
906#397—111no—
907#396—111no—
908#396—111no—
909#396—111no—
910#396—111no—
911#395—111no—
912#395—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#394—111no—
917#394—111no—
918#394—111no—
919#394—111no—
920#394—111no—
921#394—111no—
922#394—111no—
923#394—111no—
924#394—111no—
925#393—111no—
926#393—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#392—111no—
931#392—111no—
932#392—111no—
933#392—111no—
934#392—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#390—111no—
942#390—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#390—111no—
947#390—111no—
948#390—111no—
949#390—111no—
950#390—111no—
951#390—111no—
952#390—111no—
953#390—111no—
954#390—111no—
955#390—111no—
956#390—111no—
957#389—111no—
958#389—111no—
959#389—111no—
960#389—111no—
961#388—111no—
962#388—111no—
963#388—111no—
964#388—111no—
965#388—111no—
966#388—111no—
967#388—111no—
968#388—111no—
969#388—111no—
970#388—111no—
971#388—111no—
972#388—111no—
973#388—111no—
974#388—111no—
975#388—111no—
976#388—111no—
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#385—111no—
988#385—111no—
989#384—111no—
990#380—111no—
991#380—111no—
992#379—111no—
993#379—111no—
994C4×C4⋊C4—111no—
995C4×C4⋊C4—111no—
996C4×C4⋊C4—111no—
997C4×C4⋊C4—111no—
998C4×C22⋊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—
1006C43—111no—
1007C22×C11—22no—
1008C22×C11—22no—
1009C22×C11—22no—
1010C22×C11—22no—
1011C22×C11—22no—
1012C22×C11—22no—
1013C22×C11—22no—
1014C22×C11—22no—
1015C22×C11—22no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
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—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—88no—
1042C22×C11#53214yes—
1043C22×C11C23×D411yescharacteristic
1044C22×C11C22×#4111yescharacteristic
1045C22×C11C22×#4111yescharacteristic
1046C22×C11C2×H(5,𝔽2)11yescharacteristic
1047C22×C11C2×H(5,𝔽2)11yescharacteristic
1048C22×C11C2×H(5,𝔽2)11yescharacteristic
1049C22×C11#58511yescharacteristic
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
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—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—88no—
1072C4×C11—22no—
1073C4×C11—22no—
1074C4×C11—22no—
1075C4×C11—22no—
1076C4×C11—22no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082Dic11—22no—
1083Dic11—22no—
1084Dic11—22no—
1085Dic11—22no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093Dic11—41no—
1094Dic11#53814yescomplemented
1095C25—111no—
1096C25C22×D1111yescharacteristic
1097C22×Q8—111no—
1098C22×Q8C22×D1111yescharacteristic
1099C22×D4—111no—
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—111no—
1113C22×D4—111no—
1114C22×D4—224no—
1115C22×D4—442no—
1116C22×D4—442no—
1117C22×D4C22×D1111yescharacteristic
1118C22×D4C22×D1111yescharacteristic
1119C22×D4C22×D1111yescharacteristic
1120C22×D4C22×D1111yescharacteristic
1121C22×D4C22×D1111yescharacteristic
1122C22×D4C22×D1111yescharacteristic
1123C22×D4C22×D1111yescharacteristic
1124C23×C4—111no—
1125C23×C4—111no—
1126C23×C4—111no—
1127C23×C4—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4C22×D1111yescharacteristic
1131C23×C4C22×D1111yescharacteristic
1132C23×C4C22×D1111yescharacteristic
1133C23×C4C22×D1111yescharacteristic
1134C4⋊Q8—442no—
1135#127—442no—
1136#127—442no—
1137#126—24no—
1138#126—24no—
1139#126—224no—
1140#126—224no—
1141#124—24no—
1142#124—24no—
1143#124—224no—
1144#124—224no—
1145#124—442no—
1146#124—442no—
1147#123—24no—
1148#123—24no—
1149#123—224no—
1150#123—224no—
1151C22⋊Q8—24no—
1152C22⋊Q8—224no—
1153#121—24no—
1154#121—24no—
1155#121—24no—
1156#121—224no—
1157#121—224no—
1158#121—224no—
1159#121—224no—
1160#121—442no—
1161#121—442no—
1162#121—442no—
1163#121—442no—
1164#121—442no—
1165#120—24no—
1166#120—24no—
1167#120—224no—
1168#120—224no—
1169#120—224no—
1170#120—224no—
1171C4×D4—24no—
1172C4×D4—224no—
1173C4×D4—224no—
1174C4×D4—224no—
1175C4×D4—442no—
1176C4×D4C22⋊D1118yescomplemented
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—442no—
1196C2×C4⋊C4C22×D1111yescharacteristic
1197C2×C4⋊C4C22×D1111yescharacteristic
1198C2×C4⋊C4C22×D1111yescharacteristic
1199C2×C4⋊C4C22×D1111yescharacteristic
1200C2×C4⋊C4C22×D1111yescharacteristic
1201C2×C4⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4—24no—
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—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—224no—
1250C2×C22⋊C4—442no—
1251C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1259C2×C22⋊C4C22×D1111yescharacteristic
1260C2×C22⋊C4C22×D1111yescharacteristic
1261C2×C22⋊C4C22×D1111yescharacteristic
1262C2×C22⋊C4C22×D1111yescharacteristic
1263C2×C22⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4C22×D1111yescharacteristic
1265C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1278C2×C42—111no—
1279C2×C42—442no—
1280C2×C42—442no—
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#95—111no—
1302#95—111no—
1303C2×C11—24no—
1304C2×C11—42no—
1305C2×C11—81no—
1306C2×C11—81no—
1307C2×C11—81no—
1308C2×C11C2×#53211yescharacteristic
1309C2×C11C2×#53811yescharacteristic
1310C2×C11#346011yescharacteristic
1311C2×C11#349611yescharacteristic
1312C2×C11#349811yescharacteristic
1313C2×C11#351411yescharacteristic
1314C2×C11#351911yescharacteristic
1315D11—81no—
1316D11—81no—
1317D11—81no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—111no—
1326C24—111no—
1327C24—111no—
1328C24—222no—
1329C24—222no—
1330C24—222no—
1331C24—441no—
1332C24—441no—
1333C24—441no—
1334C24—441no—
1335C24C23×D1111yescharacteristic
1336C24C23×D1111yescharacteristic
1337C24C23×D1111yescharacteristic
1338C24C23×D1111yescharacteristic
1339C24C23×D1111yescharacteristic
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—222no—
1344C2×Q8—441no—
1345C2×Q8—441no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4—441no—
1394C2×D4—441no—
1395C2×D4—441no—
1396C2×D4—441no—
1397C2×D4—4416no—
1398C2×D4—441no—
1399C2×D4—441no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4C2×C22⋊D1114yes—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—111no—
1424C22×C4—114no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—111no—
1428C22×C4—111no—
1429C22×C4—111no—
1430C22×C4—111no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—222no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—222no—
1441C22×C4—222no—
1442C22×C4—222no—
1443C22×C4—222no—
1444C22×C4—222no—
1445C22×C4—222no—
1446C22×C4—222no—
1447C22×C4—222no—
1448C22×C4—441no—
1449C22×C4—441no—
1450C22×C4—441no—
1451C22×C4—441no—
1452C22×C4—441no—
1453C22×C4—441no—
1454C22×C4C2×C22⋊D1114yes—
1455C22×C4C2×C22⋊D1114yescomplemented
1456C22×C4C23×D1111yescharacteristic
1457C22×C4C23×D1111yescharacteristic
1458C22×C4C23×D1111yescharacteristic
1459C22×C4C23×D1111yescharacteristic
1460C22×C4C23×D1111yescharacteristic
1461C22×C4C23×D1111yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465C22×C4C23×D1111yescharacteristic
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—222no—
1472C4⋊C4—222no—
1473C4⋊C4—222no—
1474C4⋊C4—222no—
1475C4⋊C4—222no—
1476C4⋊C4—222no—
1477C4⋊C4—222no—
1478C4⋊C4—222no—
1479C4⋊C4—222no—
1480C4⋊C4—222no—
1481C4⋊C4—222no—
1482C4⋊C4—222no—
1483C4⋊C4—441no—
1484C4⋊C4—441no—
1485C4⋊C4—441no—
1486C4⋊C4—441no—
1487C4⋊C4—441no—
1488C4⋊C4—441no—
1489C4⋊C4C2×C22⋊D1114yescomplemented
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—114no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—222no—
1516C22⋊C4—222no—
1517C22⋊C4—222no—
1518C22⋊C4—222no—
1519C22⋊C4—222no—
1520C22⋊C4—222no—
1521C22⋊C4—222no—
1522C22⋊C4—222no—
1523C22⋊C4—222no—
1524C22⋊C4—222no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—222no—
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⋊C4—441no—
1542C22⋊C4—441no—
1543C22⋊C4—441no—
1544C22⋊C4—441no—
1545C22⋊C4—441no—
1546C22⋊C4—441no—
1547C22⋊C4—441no—
1548C22⋊C4C2×C22⋊D1114yes—
1549C22⋊C4C2×C22⋊D1114yescomplemented
1550C42—22no—
1551C42—222no—
1552C42—222no—
1553C42—222no—
1554C42—222no—
1555C42—222no—
1556C42—222no—
1557C42—222no—
1558C42—222no—
1559C42—441no—
1560C42—441no—
1561C42—441no—
1562C42—441no—
1563C42—441no—
1564C42C2×C22⋊D1114yescomplemented
1565C11#3500711yescharacteristic, complemented, Sylow
1566C23—21no—
1567C23—21no—
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—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
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—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—444no—
1626C23—444no—
1627C23—444no—
1628C23—882no—
1629C23—882no—
1630C23—882no—
1631C23—882no—
1632C23#41×D1112yes—
1633C23#41×D1112yes—
1634C23C22×C22⋊D1112yes—
1635C23C22×C22⋊D1112yes—
1636C23C24×D1111yescharacteristic
1637Q8—82no—
1638Q8—882no—
1639D4—28no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—82no—
1646D4—444no—
1647D4—444no—
1648D4—444no—
1649D4—444no—
1650D4—444no—
1651D4—444no—
1652D4—882no—
1653D4—882no—
1654D4—882no—
1655D4—882no—
1656D4—882no—
1657D4—882no—
1658D4—882no—
1659D4—882no—
1660D4—882no—
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—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—82no—
1689C2×C4—82no—
1690C2×C4—112no—
1691C2×C4—112no—
1692C2×C4—112no—
1693C2×C4—112no—
1694C2×C4—112no—
1695C2×C4—112no—
1696C2×C4—112no—
1697C2×C4—228no—
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—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—444no—
1731C2×C4—444no—
1732C2×C4—444no—
1733C2×C4—882no—
1734C2×C4—882no—
1735C2×C4C22×C22⋊D1112yes—
1736C2×C4C22×C22⋊D1112yes—
1737C2×C4C22×C22⋊D1112yes—
1738C2×C4C22×C22⋊D1112yes—
1739C2×C4C22×C22⋊D1112yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
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—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—88no—
1775C22—441no—
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—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—441no—
1795C22—441no—
1796C22—888no—
1797C22#1062336314yes—
1798C22C2×#41×D1111yescharacteristic
1799C22C2×#41×D1111yescharacteristic
1800C22D11×H(5,𝔽2)11yescharacteristic
1801C22D11×H(5,𝔽2)11yescharacteristic
1802C22D11×H(5,𝔽2)11yescharacteristic
1803C22#1062345511yescharacteristic
1804C22C23×C22⋊D1111yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—114no—
1816C4—222no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—81no—
1833C2—881no—
1834C2—881no—
1835C2—881no—
1836C2C2×#1062336311yescharacteristic
1837C2D11×#53811yescharacteristic
1838C2#1308203511yescharacteristic
1839C2#1308237511yescharacteristic
1840C2#1308239011yescharacteristic
1841C2#1308256911yescharacteristic
1842C2#1308264011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#538C2
hypercenterC2×#538D11
hypocenterC11#35007
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. #13076981C2semidirect
3. #13076971C2semidirect
4. #13076959C2semidirect
5. #13076945C2semidirect
6. #13074756C2semidirect
7. #13074755C2semidirect
8. #13074745C2semidirect
9. #13074744C2semidirect
10. #13073689C2semidirect
11. #13073687C2semidirect
12. #13073674C2semidirect
13. #13073672C2semidirect
14. #13073201C2semidirect
15. #13072976C2semidirect
16. #13072749C2semidirect
17. #13072741C2semidirect
18. #13072380C2semidirect
19. #13072315C2semidirect
20. #13072251C2semidirect
21. #13072201C2semidirect
22. #13072158C2semidirect
23. #13072156C2semidirect
24. #13072053C2semidirect
25. #13071969C2semidirect
26. #13071274C2semidirect
27. #13071270C2semidirect
28. C4×#66992C2semidirect
29. C2×#10622570C2semidirect
30. C4×D4×Dic11C2semidirect
31. C2×C11×#538C2semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#126C22semidirect
36. C2×C11×#124C22semidirect
37. C2×C11×#124C22semidirect
38. C2×C11×#123C22semidirect
39. C2×C11×#123C22semidirect
42. C2×C11×#121C22semidirect
43. C2×C11×#121C22semidirect
51. C2×#67000C22semidirect
52. C2×#66997C22semidirect
59. C2×#66992C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
64. C2×#66989C22semidirect
67. C2×#66983C22semidirect
68. C2×#66982C22semidirect
70. C2×C4×C22⋊D11C22semidirect
75. C22×C4×Dic11C22semidirect
77. C2×#66951C22semidirect
78. C2×#66947C22semidirect
79. C2×#66938C22semidirect
80. C2×#66937C22semidirect
83. C2×#66929C22semidirect
84. C2×#66928C22semidirect
86. #10622844C22semidirect
87. #10622842C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
94. #10622835C22semidirect
95. #10622835C22semidirect
96. #10622835C22semidirect
97. #10622835C22semidirect
98. #10622834C22semidirect
101. #10622833C22semidirect
103. #10622826C22semidirect
104. #10622826C22semidirect
107. C4×C22⋊Dic11C22semidirect
108. C4×C22⋊Dic11C22semidirect
109. #10622607C22semidirect
110. #10622607C22semidirect
111. #10622606C22semidirect
112. #10622604C22semidirect
113. #10622604C22semidirect
114. #10622603C22semidirect
115. #10622603C22semidirect
116. #10622603C22semidirect
117. #10622603C22semidirect
118. #10622603C22semidirect
119. #10622603C22semidirect
120. #10622601C22semidirect
121. #10622596C22semidirect
122. #10622593C22semidirect
123. #10622592C22semidirect
124. #10622589C22semidirect
125. C4⋊C4×Dic11C22semidirect
126. C4⋊C4×Dic11C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
133. #10622574C22semidirect
134. #10622574C22semidirect
137. #10622572C22semidirect
138. #10622572C22semidirect
140. #10622571C22semidirect
153. #10622570C22semidirect
154. #10622570C22semidirect
155. #10622570C22semidirect
156. #10622570C22semidirect
157. #10622570C22semidirect
158. #10622570C22semidirect
159. #10622570C22semidirect
160. #10622570C22semidirect
161. #10622569C22semidirect
162. #10622569C22semidirect
164. #10622566C22semidirect
165. #10622561C22semidirect
166. #10622561C22semidirect
167. #10622560C22semidirect
169. #10622558C22semidirect
170. #10622558C22semidirect
171. #10622558C22semidirect
172. #10622558C22semidirect
173. #10622558C22semidirect
174. #10622558C22semidirect
175. #10622557C22semidirect
176. #10622557C22semidirect
178. #10622555C22semidirect
181. C22⋊C4×Dic11C22semidirect
182. C22⋊C4×Dic11C22semidirect
183. #10622553C22semidirect
184. #10622553C22semidirect
185. C4×(C2×D11)⋊C4C22semidirect
186. C4×C4⋊Dic11C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C42×Dic11C22semidirect
241. C4×D4×C11D4semidirect
455. C22×C4×C11C2×D4semidirect
551. C11×C4⋊C4C2×D4semidirect
565. C11×C22⋊C4C2×D4semidirect
567. C42×C11C2×D4semidirect
646. C2×#538D11semidirect
858. C2×#126C2×D11semidirect
859. C2×#126C2×D11semidirect
864. C2×#124C2×D11semidirect
865. C2×#124C2×D11semidirect
868. C2×#123C2×D11semidirect
869. C2×#123C2×D11semidirect
882. C2×#121C2×D11semidirect
883. C2×#121C2×D11semidirect
1094. Dic11#538semidirect
1176. C4×D4C22⋊D11semidirect
1455. C22×C4C2×C22⋊D11semidirect
1489. C4⋊C4C2×C22⋊D11semidirect
1549. C22⋊C4C2×C22⋊D11semidirect
1564. C42C2×C22⋊D11semidirect
1565. C11#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
#130769812
#130769712
#130769592
#130769452
#130747562
#130747552
#130747452
#130747442
#130736892
#130736872
#130736742
#130736722
#130732012
#130729762
#130727492
#130727412
#130723802
#130723152
#130722512
#130722012
#130721582
#130721562
#130720532
#130719692
#130712742
#130712702
C4×#669922
C2×#106225702
C4×D4×Dic112
C2×C11×#5382
#3500711