Finite Group Databasebeta

← #14926430

Subgroups — #14926430

Order 2816.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D11C211yesmaximal, characteristic, complemented
2#13076928C211yesmaximal, characteristic, complemented
3#13076912C211yesmaximal, characteristic, complemented
4#13076905C211yesmaximal, characteristic, complemented
5#13076895C211yesmaximal, characteristic, complemented
6#13074513C211yesmaximal, characteristic, complemented
7#13074501C211yesmaximal, characteristic, complemented
8#13074469C211yesmaximal, characteristic, complemented
9#13074455C211yesmaximal, characteristic, complemented
10#13072873C211yesmaximal, characteristic, complemented
11#13072738C211yesmaximal, characteristic, complemented
12#13072663C211yesmaximal, characteristic, complemented
13#13072549C211yesmaximal, characteristic, complemented
14#13072513C211yesmaximal, characteristic, complemented
15#13072504C211yesmaximal, characteristic, complemented
16#13072436C211yesmaximal, characteristic, complemented
17#13072362C211yesmaximal, characteristic, complemented
18#13072348C211yesmaximal, characteristic, complemented
19#13072279C211yesmaximal, characteristic, complemented
20#13072149C211yesmaximal, characteristic, complemented
21#13072148C211yesmaximal, characteristic, complemented
22#13072074C211yesmaximal, characteristic, complemented
23#13071987C211yesmaximal, characteristic, complemented
24#13071986C211yesmaximal, characteristic, complemented
25#13071927C211yesmaximal, characteristic, complemented
26#13071314C211yesmaximal, characteristic, complemented
27#13071274C211yesmaximal, characteristic, complemented
28#13071249C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C11×#538—28no—
37C2×C11×#126C2211yescharacteristic, complemented
38C2×C11×#126C2211yescharacteristic, complemented
39C2×C11×#124C2211yescharacteristic, complemented
40C2×C11×#124C2211yescharacteristic, complemented
41C2×C11×#123C2211yescharacteristic, complemented
42C2×C11×#123C2211yescharacteristic, complemented
43C2×C11×C22⋊Q8C2211yescharacteristic, complemented
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic, complemented
46C2×C11×#121C2211yescharacteristic, complemented
47C2×C11×#120C2211yescharacteristic
48C2×C11×#120C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C22×C11×C22⋊C4C2211yescharacteristic, complemented
52C2×#67006C2211yescharacteristic
53C22×C22⋊Dic11C2211yescharacteristic, complemented
54C2×#66999C2211yescharacteristic, complemented
55C2×#66992C2211yescharacteristic
56C2×#66991C2211yescharacteristic
57C2×#66991C2211yescharacteristic
58C2×#66991C2211yescharacteristic, complemented
59C2×#66990C2211yescharacteristic
60C2×#66990C2211yescharacteristic
61C2×#66990C2211yescharacteristic
62C2×#66990C2211yescharacteristic, complemented
63C2×#66988C2211yescharacteristic, complemented
64C2×D4×Dic11C2211yescharacteristic
65C2×C4×C22⋊D11C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic, complemented
67C2×C4×C22⋊D11C2211yescharacteristic, complemented
68C2×C4×C22⋊D11C2211yescharacteristic, complemented
69C22×(C2×D11)⋊C4C2211yescharacteristic
70C4×D4×D11—28no—
71C2×#66946C2211yescharacteristic, complemented
72C2×C4⋊C4×D11C2211yescharacteristic, complemented
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×C22⋊C4×D11C2211yescharacteristic, complemented
77C2×C4×D44C2211yescharacteristic, complemented
78C2×C42×D11C2211yescharacteristic, complemented
79#10622860C2211yescharacteristic, complemented
80#10622844C2211yescharacteristic, complemented
81#10622844C2211yescharacteristic, complemented
82#10622843C2211yescharacteristic, complemented
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic, complemented
87#10622836C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic, complemented
89#10622835C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622834C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic
101#10622826C2211yescharacteristic, complemented
102#10622825C2211yescharacteristic, complemented
103#10622824C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105#10622823C2211yescharacteristic, complemented
106C4×C22⋊Dic11C2211yescharacteristic, complemented
107C2×C11⋊#95C2211yescharacteristic, complemented
108C2×C11⋊#95C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622607C2211yescharacteristic, complemented
112#10622605C2211yescharacteristic, complemented
113#10622604C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622602C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622602C2211yescharacteristic, complemented
119#10622602C2211yescharacteristic, complemented
120#10622602C2211yescharacteristic, complemented
121#10622600C2211yescharacteristic, complemented
122#10622600C2211yescharacteristic, complemented
123#10622599C2211yescharacteristic, complemented
124#10622597C2211yescharacteristic, complemented
125#10622595C2211yescharacteristic, complemented
126#10622594C2211yescharacteristic, complemented
127#10622594C2211yescharacteristic, complemented
128#10622591C2211yescharacteristic, complemented
129#10622591C2211yescharacteristic, complemented
130#10622591C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic, complemented
132#10622574C2211yescharacteristic, complemented
133#10622574C2211yescharacteristic, complemented
134#10622573C2211yescharacteristic
135#10622573C2211yescharacteristic
136#10622573C2211yescharacteristic, complemented
137#10622572C2211yescharacteristic, complemented
138#10622571C2211yescharacteristic
139#10622570C2211yescharacteristic, complemented
140#10622570C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic
145#10622569C2211yescharacteristic
146#10622569C2211yescharacteristic
147#10622569C2211yescharacteristic
148#10622569C2211yescharacteristic
149#10622569C2211yescharacteristic, complemented
150#10622569C2211yescharacteristic, complemented
151#10622569C2211yescharacteristic, complemented
152#10622569C2211yescharacteristic, complemented
153#10622569C2211yescharacteristic, complemented
154#10622569C2211yescharacteristic, complemented
155#10622569C2211yescharacteristic, complemented
156#10622569C2211yescharacteristic, complemented
157#10622569C2211yescharacteristic, complemented
158#10622569C2211yescharacteristic, complemented
159#10622569C2211yescharacteristic, complemented
160#10622568C2211yescharacteristic
161#10622568C2211yescharacteristic, complemented
162#10622566C2211yescharacteristic, complemented
163#10622566C2211yescharacteristic, complemented
164#10622565C2211yescharacteristic, complemented
165#10622564C2211yescharacteristic, complemented
166#10622564C2211yescharacteristic, complemented
167#10622563C2211yescharacteristic, complemented
168#10622563C2211yescharacteristic, complemented
169#10622562C2211yescharacteristic, complemented
170#10622561C2211yescharacteristic, complemented
171#10622559C2211yescharacteristic, complemented
172#10622558C2211yescharacteristic, complemented
173#10622558C2211yescharacteristic, complemented
174#10622557C2211yescharacteristic, complemented
175#10622557C2211yescharacteristic, complemented
176#10622557C2211yescharacteristic, complemented
177#10622557C2211yescharacteristic, complemented
178#10622557C2211yescharacteristic, complemented
179#10622557C2211yescharacteristic, complemented
180#10622557C2211yescharacteristic, complemented
181#10622556C2211yescharacteristic, complemented
182#10622555C2211yescharacteristic, complemented
183#10622553C2211yescharacteristic, complemented
184C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
185C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
186#10622550C2211yescharacteristic, complemented
187#10622549C2211yescharacteristic, complemented
188#10622546C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C22×C22⋊D11—24no—
205C22×C22⋊D11—42no—
206C22×C22⋊D11—42no—
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
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C2×D4×D11—24no—
223C2×D4×D11—24no—
224C2×D4×D11—24no—
225C22×D44C2311yescharacteristic
226C22×C4×D11—24no—
227C22×C4×D11—24no—
228C22×C4×D11—42no—
229C22×C4×D11—42no—
230C22×C4×D11—42no—
231C22×C4×D11—42no—
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C11×#126—24no—
242C11×#126—24no—
243C11×#124—24no—
244C11×#124—24no—
245C11×#123—24no—
246C11×#123—24no—
247C11×C22⋊Q8—24no—
248C11×#121—24no—
249C11×#121—24no—
250C11×#121—24no—
251C11×#120—24no—
252C11×#120—24no—
253C4×D4×C11—24no—
254C4×D4×C11D418yescomplemented
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4—24no—
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C42×C11C2311yescharacteristic
277C2×C42×C11C2311yescharacteristic
278#67006—24no—
279C2×C22⋊Dic11—42no—
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299C2×C22⋊Dic11C2311yescharacteristic
300C2×C22⋊Dic11C2311yescharacteristic
301C2×C22⋊Dic11C2311yescharacteristic
302C2×C22⋊Dic11C2311yescharacteristic
303#66999—42no—
304#66992—24no—
305#66991—42no—
306#66991—42no—
307#66991—42no—
308#66990—24no—
309#66990—42no—
310#66990—42no—
311#66990—42no—
312#66988—42no—
313D4×Dic11—24no—
314C4×C22⋊D11—24no—
315C4×C22⋊D11—24no—
316C4×C22⋊D11—42no—
317C4×C22⋊D11—42no—
318C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339C2×C4⋊Dic11C2311yescharacteristic
340C2×C4⋊Dic11C2311yescharacteristic
341C2×C4⋊Dic11C2311yescharacteristic
342C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355C2×C4×Dic11C2311yescharacteristic
356C2×C4×Dic11C2311yescharacteristic
357#66946—24no—
358C4⋊C4×D11—24no—
359(C22⋊D11)⋊C4—24no—
360(C22⋊D11)⋊C4—24no—
361C22⋊C4×D11—24no—
362C22⋊C4×D11—24no—
363C4×D44—24no—
364C42×D11—24no—
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#34990—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—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11#4114yes—
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×Q8×C11—22no—
428C2×Q8×C11—41no—
429C2×Q8×C11—41no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11—22no—
439C2×D4×C11—22no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11—41no—
444C2×D4×C11—41no—
445C2×D4×C11—41no—
446C2×D4×C11—41no—
447C2×D4×C11—41no—
448C2×D4×C11—41no—
449C2×D4×C11—41no—
450C2×D4×C11C2×D414yes—
451C22×C4×C11—22no—
452C22×C4×C11—22no—
453C22×C4×C11—41no—
454C22×C4×C11—41no—
455C22×C4×C11—41no—
456C22×C4×C11—41no—
457C22×C4×C11—41no—
458C22×C4×C11—41no—
459C22×C4×C11—41no—
460C22×C4×C11—41no—
461C22×C4×C11C2×D414yes—
462C22×C4×C11C2×D414yescomplemented
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
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—22no—
488C2×C22⋊D11—22no—
489C2×C22⋊D11—22no—
490C2×C22⋊D11—22no—
491C2×C22⋊D11—22no—
492C2×C22⋊D11—22no—
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—
506C2×C22⋊D11#4114yes—
507C22×Dic11—22no—
508C22×Dic11—22no—
509C22×Dic11—22no—
510C22×Dic11—22no—
511C22×Dic11—22no—
512C22×Dic11—22no—
513C22×Dic11—41no—
514C22×Dic11—41no—
515C22×Dic11—41no—
516C22×Dic11—41no—
517C22×Dic11—41no—
518C22×Dic11—41no—
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532D4×D11—232no—
533C2×D44—22no—
534C2×D44—22no—
535C2×D44—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—22no—
544C2×C4×D11—22no—
545C2×C4×D11—22no—
546C2×C4×D11—22no—
547C2×C4×D11—22no—
548C2×C4×D11—22no—
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—22no—
552C2×C4×D11—22no—
553C2×C4×D11—22no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—41no—
561C2×C4×D11—41no—
562C2×C4×D11—41no—
563C2×C4×D11—416no—
564C2×C4×D11—416no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4—22no—
569C11×C4⋊C4—22no—
570C11×C4⋊C4C2×D414yescomplemented
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—22no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—22no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—22no—
578C11×C22⋊C4—22no—
579C11×C22⋊C4—22no—
580C11×C22⋊C4—22no—
581C11×C22⋊C4—22no—
582C11×C22⋊C4—22no—
583C11×C22⋊C4C2×D414yes—
584C11×C22⋊C4C2×D414yescomplemented
585C42×C11—22no—
586C42×C11C2×D414yescomplemented
587C22⋊Dic11—22no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—22no—
593C22⋊Dic11—22no—
594C22⋊Dic11—22no—
595C22⋊Dic11—22no—
596C22⋊Dic11—22no—
597C22⋊Dic11—41no—
598C22⋊Dic11—41no—
599C22⋊Dic11—41no—
600C22⋊Dic11—41no—
601C22⋊Dic11—41no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604C22⋊Dic11—41no—
605C22⋊Dic11—41no—
606C22⋊Dic11—41no—
607C22⋊Dic11—41no—
608C22⋊Dic11—41no—
609C22⋊Dic11—41no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—22no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629C4⋊Dic11—22no—
630C4⋊Dic11—41no—
631C4⋊Dic11—41no—
632C4⋊Dic11—41no—
633C4⋊Dic11—41no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—22no—
638Dic11⋊C4—41no—
639Dic11⋊C4—41no—
640Dic11⋊C4—41no—
641Dic11⋊C4—41no—
642Dic11⋊C4—41no—
643C4×Dic11—22no—
644C4×Dic11—22no—
645C4×Dic11—22no—
646C4×Dic11—41no—
647C4×Dic11—41no—
648C2×#538D1111yescharacteristic, complemented
649C22×C4×D4—111no—
650#2852—111no—
651#2850—111no—
652#2849—111no—
653#2847—111no—
654#2636—111no—
655#2635—111no—
656#2631—111no—
657#2630—111no—
658#2481—111no—
659#2472—111no—
660#2467—111no—
661#2459—111no—
662#2456—111no—
663#2456—111no—
664#2450—111no—
665#2444—111no—
666#2443—111no—
667#2437—111no—
668#2424—111no—
669#2424—111no—
670#2418—111no—
671#2410—111no—
672#2410—111no—
673#2403—111no—
674#2325—111no—
675#2321—111no—
676#2318—111no—
677C4×#120—111no—
678C2×#386—111no—
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—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—44no—
711C23×C11—44no—
712C23×C11—44no—
713C23×C11—82no—
714C23×C11—82no—
715C23×C11—82no—
716C23×C11—82no—
717C23×C11C22×D412yes—
718C23×C11C22×D412yes—
719C23×C11C2×#4112yes—
720C23×C11C2×#4112yes—
721C23×C11C2511yescharacteristic
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—28no—
727C22×D11—28no—
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—28no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—44no—
744C22×D11—44no—
745C22×D11—44no—
746C22×D11—44no—
747C22×D11—44no—
748C22×D11—44no—
749C22×D11—44no—
750C22×D11—44no—
751C22×D11—44no—
752C22×D11C2×#4112yes—
753C22×D11C2×#4112yes—
754C22×D11C2×#4112yes—
755C22×D11H(5,𝔽2)12yes—
756C22×D11H(5,𝔽2)12yes—
757Q8×C11—82no—
758D4×C11—28no—
759D4×C11—44no—
760D4×C11—82no—
761D4×C11—82no—
762D4×C11—82no—
763D4×C11—82no—
764D4×C11—82no—
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—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—44no—
791C2×C4×C11—44no—
792C2×C4×C11—82no—
793C2×C4×C11—82no—
794C2×C4×C11C22×D412yes—
795C2×C4×C11C22×D412yes—
796C2×C4×C11C22×D412yes—
797C2×C4×C11C22×D412yes—
798C2×C4×C11C22×D412yes—
799C22⋊D11—28no—
800C22⋊D11—28no—
801C22⋊D11—44no—
802C22⋊D11—44no—
803C22⋊D11—44no—
804C22⋊D11—44no—
805C22⋊D11—44no—
806C22⋊D11—44no—
807C22⋊D11—82no—
808C22⋊D11—82no—
809C22⋊D11—82no—
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—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—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—44no—
848C2×Dic11—44no—
849C2×Dic11—44no—
850C2×Dic11—82no—
851C2×Dic11C2×#4112yes—
852C2×Dic11H(5,𝔽2)12yes—
853D44—28no—
854C4×D11—28no—
855C4×D11—28no—
856C4×D11—44no—
857C4×D11—44no—
858C4×D11—44no—
859C4×D11—44no—
860C4×D11—44no—
861C4×D11—44no—
862C4×D11—44no—
863C23×D4—111no—
864C23×D4—111no—
865C24×C4—111no—
866C24×C4—111no—
867#538—28no—
868C2×#126C2×D1111yescharacteristic, complemented
869C2×#126C2×D1111yescharacteristic, complemented
870C2×#124C2×D1111yescharacteristic, complemented
871C2×#124C2×D1111yescharacteristic, complemented
872C2×#123—111no—
873C2×#123C2×D1111yescharacteristic, complemented
874C2×#123C2×D1111yescharacteristic, complemented
875C2×C22⋊Q8—111no—
876C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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×#120—111no—
889C2×#120C2×D1111yescharacteristic
890C2×#120C2×D1111yescharacteristic, complemented
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4—111no—
896C2×C4×D4—111no—
897C2×C4×D4—111no—
898C2×C4×D4—111no—
899C2×C4×D4—111no—
900C2×C4×D4—228no—
901C2×C4×D4C2×D1111yescharacteristic
902C2×C4×D4C2×D1111yescharacteristic, complemented
903C22×C4⋊C4—111no—
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4—111no—
908C22×C22⋊C4C2×D1111yescharacteristic, complemented
909C22×C42—111no—
910#400—111no—
911#400—111no—
912#399—111no—
913#399—111no—
914#398—111no—
915#397—111no—
916#397—111no—
917#397—111no—
918#396—111no—
919#396—111no—
920#396—111no—
921#396—111no—
922#394—111no—
923#394—111no—
924#394—111no—
925#394—111no—
926#394—111no—
927#394—111no—
928#394—111no—
929#394—111no—
930#394—111no—
931#393—111no—
932#393—111no—
933#392—111no—
934#392—111no—
935#392—111no—
936#392—111no—
937#392—111no—
938#392—111no—
939#392—111no—
940#392—111no—
941#392—111no—
942#391—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
958#387—111no—
959#387—111no—
960#387—111no—
961#387—111no—
962#387—111no—
963#387—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386—111no—
976#386—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#386—111no—
988#386—111no—
989#386—111no—
990#386—111no—
991#386—111no—
992#385—111no—
993#385—111no—
994#385—111no—
995#385—111no—
996#385—111no—
997#385—111no—
998#385—111no—
999#385—111no—
1000#385—111no—
1001#385—111no—
1002#385—111no—
1003#385—111no—
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380—111no—
1011#380—111no—
1012#379—111no—
1013#379—111no—
1014#379—111no—
1015C4×C22⋊C4—111no—
1016C4×C22⋊C4—111no—
1017C4×C22⋊C4—111no—
1018C2×#95—111no—
1019C2×#95—111no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—22no—
1027C22×C11—22no—
1028C22×C11—22no—
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—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—88no—
1055C22×C11#52514yes—
1056C22×C11C23×D411yescharacteristic
1057C22×C11C22×#4111yescharacteristic
1058C22×C11C22×#4111yescharacteristic
1059C22×C11C2×H(5,𝔽2)11yescharacteristic
1060C22×C11C2×H(5,𝔽2)11yescharacteristic
1061C22×C11C2×H(5,𝔽2)11yescharacteristic
1062C22×C11#58511yescharacteristic
1063C2×D11—22no—
1064C2×D11—22no—
1065C2×D11—22no—
1066C2×D11—22no—
1067C2×D11—22no—
1068C2×D11—22no—
1069C2×D11—22no—
1070C2×D11—22no—
1071C2×D11—22no—
1072C2×D11—22no—
1073C2×D11—22no—
1074C2×D11—22no—
1075C2×D11—416no—
1076C2×D11—416no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11#53814yescomplemented
1086C4×C11—22no—
1087C4×C11—22no—
1088C4×C11—22no—
1089C4×C11—22no—
1090C4×C11—22no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096Dic11—22no—
1097Dic11—22no—
1098Dic11—41no—
1099Dic11—41no—
1100Dic11—41no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25—111no—
1111C25C22×D1111yescharacteristic
1112C22×Q8C22×D1111yescharacteristic
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—224no—
1126C22×D4—224no—
1127C22×D4—224no—
1128C22×D4—224no—
1129C22×D4—442no—
1130C22×D4—442no—
1131C22×D4C22×D1111yescharacteristic
1132C22×D4C22×D1111yescharacteristic
1133C22×D4C22×D1111yescharacteristic
1134C22×D4C22×D1111yescharacteristic
1135C22×D4C22×D1111yescharacteristic
1136C22×D4C22×D1111yescharacteristic
1137C22×D4C22×D1111yescharacteristic
1138C23×C4—111no—
1139C23×C4—111no—
1140C23×C4—111no—
1141C23×C4—111no—
1142C23×C4—111no—
1143C23×C4—111no—
1144C23×C4—111no—
1145C23×C4—111no—
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—224no—
1152C23×C4—224no—
1153C23×C4—442no—
1154C23×C4—442no—
1155C23×C4—442no—
1156C23×C4—442no—
1157C23×C4C22×D1111yescharacteristic
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161#126—24no—
1162#126—24no—
1163#124—24no—
1164#124—24no—
1165#123—24no—
1166#123—24no—
1167#123—442no—
1168C22⋊Q8—24no—
1169C22⋊Q8—442no—
1170#121—24no—
1171#121—24no—
1172#121—24no—
1173#121—224no—
1174#121—442no—
1175#121—442no—
1176#121—442no—
1177#120—24no—
1178#120—24no—
1179#120—224no—
1180#120—224no—
1181#120—442no—
1182#120—442no—
1183#120—442no—
1184C4×D4—24no—
1185C4×D4—224no—
1186C4×D4—224no—
1187C4×D4—224no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—442no—
1193C4×D4—442no—
1194C4×D4C22⋊D1118yescomplemented
1195C2×C4⋊C4—111no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—111no—
1198C2×C4⋊C4—111no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—111no—
1203C2×C4⋊C4—111no—
1204C2×C4⋊C4—111no—
1205C2×C4⋊C4—111no—
1206C2×C4⋊C4—111no—
1207C2×C4⋊C4—111no—
1208C2×C4⋊C4—111no—
1209C2×C4⋊C4—224no—
1210C2×C4⋊C4C22×D1111yescharacteristic
1211C2×C4⋊C4C22×D1111yescharacteristic
1212C2×C4⋊C4C22×D1111yescharacteristic
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—24no—
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—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—224no—
1260C2×C22⋊C4—224no—
1261C2×C22⋊C4—442no—
1262C2×C22⋊C4—442no—
1263C2×C22⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4C22×D1111yescharacteristic
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C22⋊C4C22×D1111yescharacteristic
1267C2×C22⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4C22×D1111yescharacteristic
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42—111no—
1282C2×C42—224no—
1283C2×C42C22×D1111yescharacteristic
1284C2×C42C22×D1111yescharacteristic
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—
1303#95—111no—
1304#95—111no—
1305#95—111no—
1306#95—111no—
1307#95—111no—
1308#95—111no—
1309#95—111no—
1310#95—111no—
1311#95—111no—
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95—111no—
1316#95—111no—
1317C2×C11—24no—
1318C2×C11—42no—
1319C2×C11—81no—
1320C2×C11—81no—
1321C2×C11—81no—
1322C2×C11C2×#52511yescharacteristic
1323C2×C11C2×#53811yescharacteristic
1324C2×C11#345911yescharacteristic
1325C2×C11#348411yescharacteristic
1326C2×C11#348811yescharacteristic
1327C2×C11#351311yescharacteristic
1328C2×C11#351911yescharacteristic
1329D11—24no—
1330D11—42no—
1331D11—42no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—41no—
1336C24—41no—
1337C24—41no—
1338C24—41no—
1339C24—111no—
1340C24—111no—
1341C24—111no—
1342C24—114no—
1343C24—222no—
1344C24—222no—
1345C24—222no—
1346C24—222no—
1347C24—222no—
1348C24—222no—
1349C24—222no—
1350C24—222no—
1351C24—222no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24—441no—
1356C24C23×D1111yescharacteristic
1357C24C23×D1111yescharacteristic
1358C24C23×D1111yescharacteristic
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—22no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—114no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—2232no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—222no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—222no—
1401C2×D4—222no—
1402C2×D4—222no—
1403C2×D4—222no—
1404C2×D4—222no—
1405C2×D4—222no—
1406C2×D4—222no—
1407C2×D4—222no—
1408C2×D4—222no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—441no—
1417C2×D4—441no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—4416no—
1422C2×D4C2×C22⋊D1114yes—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—111no—
1439C22×C4—111no—
1440C22×C4—111no—
1441C22×C4—111no—
1442C22×C4—111no—
1443C22×C4—111no—
1444C22×C4—111no—
1445C22×C4—111no—
1446C22×C4—222no—
1447C22×C4—222no—
1448C22×C4—222no—
1449C22×C4—222no—
1450C22×C4—222no—
1451C22×C4—222no—
1452C22×C4—222no—
1453C22×C4—222no—
1454C22×C4—222no—
1455C22×C4—222no—
1456C22×C4—222no—
1457C22×C4—222no—
1458C22×C4—222no—
1459C22×C4—222no—
1460C22×C4—222no—
1461C22×C4—222no—
1462C22×C4—222no—
1463C22×C4—222no—
1464C22×C4—222no—
1465C22×C4—222no—
1466C22×C4—222no—
1467C22×C4—222no—
1468C22×C4—222no—
1469C22×C4—222no—
1470C22×C4—441no—
1471C22×C4—441no—
1472C22×C4—441no—
1473C22×C4—441no—
1474C22×C4—441no—
1475C22×C4—441no—
1476C22×C4—441no—
1477C22×C4—441no—
1478C22×C4—441no—
1479C22×C4—4416no—
1480C22×C4—4416no—
1481C22×C4—441no—
1482C22×C4—441no—
1483C22×C4—441no—
1484C22×C4—441no—
1485C22×C4—441no—
1486C22×C4—441no—
1487C22×C4C2×C22⋊D1114yes—
1488C22×C4C2×C22⋊D1114yescomplemented
1489C22×C4C23×D1111yescharacteristic
1490C22×C4C23×D1111yescharacteristic
1491C22×C4C23×D1111yescharacteristic
1492C22×C4C23×D1111yescharacteristic
1493C22×C4C23×D1111yescharacteristic
1494C22×C4C23×D1111yescharacteristic
1495C22×C4C23×D1111yescharacteristic
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—222no—
1505C4⋊C4—222no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—441no—
1510C4⋊C4—441no—
1511C4⋊C4—441no—
1512C4⋊C4—441no—
1513C4⋊C4—441no—
1514C4⋊C4—441no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C4⋊C4C2×C22⋊D1114yescomplemented
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—222no—
1532C22⋊C4—222no—
1533C22⋊C4—222no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—441no—
1553C22⋊C4—441no—
1554C22⋊C4—441no—
1555C22⋊C4—441no—
1556C22⋊C4—441no—
1557C22⋊C4—441no—
1558C22⋊C4—441no—
1559C22⋊C4—441no—
1560C22⋊C4—441no—
1561C22⋊C4—441no—
1562C22⋊C4—441no—
1563C22⋊C4—441no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C22⋊C4—441no—
1567C22⋊C4—441no—
1568C22⋊C4—441no—
1569C22⋊C4—441no—
1570C22⋊C4—441no—
1571C22⋊C4—441no—
1572C22⋊C4—441no—
1573C22⋊C4C2×C22⋊D1114yes—
1574C22⋊C4C2×C22⋊D1114yescomplemented
1575C42—22no—
1576C42—222no—
1577C42—222no—
1578C42—222no—
1579C42—441no—
1580C42—441no—
1581C42C2×C22⋊D1114yescomplemented
1582C11#3499011yescharacteristic, complemented, Sylow
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—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23—112no—
1622C23—112no—
1623C23—112no—
1624C23—112no—
1625C23—112no—
1626C23—228no—
1627C23—228no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—221no—
1632C23—228no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—221no—
1640C23—221no—
1641C23—221no—
1642C23—221no—
1643C23—221no—
1644C23—221no—
1645C23—444no—
1646C23—444no—
1647C23—444no—
1648C23—444no—
1649C23—444no—
1650C23—444no—
1651C23—444no—
1652C23—444no—
1653C23—444no—
1654C23—444no—
1655C23—444no—
1656C23#41×D1112yes—
1657C23#41×D1112yes—
1658C23C22×C22⋊D1112yes—
1659C23C22×C22⋊D1112yes—
1660C23C24×D1111yescharacteristic
1661Q8—82no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—228no—
1670D4—228no—
1671D4—228no—
1672D4—444no—
1673D4—444no—
1674D4—444no—
1675D4—444no—
1676D4—444no—
1677D4—444no—
1678D4—882no—
1679D4—882no—
1680D4—882no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—112no—
1711C2×C4—112no—
1712C2×C4—228no—
1713C2×C4—228no—
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—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—444no—
1752C2×C4—444no—
1753C2×C4—444no—
1754C2×C4—444no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—882no—
1762C2×C4C22×C22⋊D1112yes—
1763C2×C4C22×C22⋊D1112yes—
1764C2×C4C22×C22⋊D1112yes—
1765C2×C4C22×C22⋊D1112yes—
1766C2×C4C22×C22⋊D1112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—114no—
1803C22—222no—
1804C22—222no—
1805C22—222no—
1806C22—222no—
1807C22—222no—
1808C22—222no—
1809C22—222no—
1810C22—222no—
1811C22—222no—
1812C22—222no—
1813C22—222no—
1814C22—222no—
1815C22—4416no—
1816C22—4416no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22#1062335914yes—
1826C22C2×#41×D1111yescharacteristic
1827C22C2×#41×D1111yescharacteristic
1828C22D11×H(5,𝔽2)11yescharacteristic
1829C22D11×H(5,𝔽2)11yescharacteristic
1830C22D11×H(5,𝔽2)11yescharacteristic
1831C22#1062345511yescharacteristic
1832C22C23×C22⋊D1111yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—222no—
1844C4—222no—
1845C4—441no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—224no—
1862C2—442no—
1863C2—442no—
1864C2C2×#1062335911yescharacteristic
1865C2D11×#53811yescharacteristic
1866C2#1308202711yescharacteristic
1867C2#1308224711yescharacteristic
1868C2#1308227811yescharacteristic
1869C2#1308255211yescharacteristic
1870C2#1308264011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#538C2
hypercenterC2×#538D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D11C2semidirect
2. #13076928C2semidirect
3. #13076912C2semidirect
4. #13076905C2semidirect
5. #13076895C2semidirect
6. #13074513C2semidirect
7. #13074501C2semidirect
8. #13074469C2semidirect
9. #13074455C2semidirect
10. #13072873C2semidirect
11. #13072738C2semidirect
12. #13072663C2semidirect
13. #13072549C2semidirect
14. #13072513C2semidirect
15. #13072504C2semidirect
16. #13072436C2semidirect
17. #13072362C2semidirect
18. #13072348C2semidirect
19. #13072279C2semidirect
20. #13072149C2semidirect
21. #13072148C2semidirect
22. #13072074C2semidirect
23. #13071987C2semidirect
24. #13071986C2semidirect
25. #13071927C2semidirect
26. #13071314C2semidirect
27. #13071274C2semidirect
28. #13071249C2semidirect
29. C4×#66990C2semidirect
30. C2×#10622569C2semidirect
31. C2×C11×#538C2semidirect
35. C23×C4×D11C22semidirect
37. C2×C11×#126C22semidirect
38. C2×C11×#126C22semidirect
39. C2×C11×#124C22semidirect
40. C2×C11×#124C22semidirect
41. C2×C11×#123C22semidirect
42. C2×C11×#123C22semidirect
43. C2×C11×C22⋊Q8C22semidirect
45. C2×C11×#121C22semidirect
46. C2×C11×#121C22semidirect
48. C2×C11×#120C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C22×C11×C22⋊C4C22semidirect
53. C22×C22⋊Dic11C22semidirect
54. C2×#66999C22semidirect
58. C2×#66991C22semidirect
62. C2×#66990C22semidirect
63. C2×#66988C22semidirect
66. C2×C4×C22⋊D11C22semidirect
67. C2×C4×C22⋊D11C22semidirect
68. C2×C4×C22⋊D11C22semidirect
71. C2×#66946C22semidirect
72. C2×C4⋊C4×D11C22semidirect
74. C2×(C22⋊D11)⋊C4C22semidirect
76. C2×C22⋊C4×D11C22semidirect
77. C2×C4×D44C22semidirect
78. C2×C42×D11C22semidirect
79. #10622860C22semidirect
80. #10622844C22semidirect
81. #10622844C22semidirect
82. #10622843C22semidirect
85. #10622836C22semidirect
86. #10622836C22semidirect
87. #10622836C22semidirect
88. #10622836C22semidirect
89. #10622835C22semidirect
90. #10622835C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
93. #10622834C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
98. #10622833C22semidirect
99. #10622833C22semidirect
101. #10622826C22semidirect
102. #10622825C22semidirect
103. #10622824C22semidirect
104. #10622823C22semidirect
105. #10622823C22semidirect
106. C4×C22⋊Dic11C22semidirect
107. C2×C11⋊#95C22semidirect
108. C2×C11⋊#95C22semidirect
109. #10622607C22semidirect
110. #10622607C22semidirect
111. #10622607C22semidirect
112. #10622605C22semidirect
113. #10622604C22semidirect
114. #10622602C22semidirect
115. #10622602C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
118. #10622602C22semidirect
119. #10622602C22semidirect
120. #10622602C22semidirect
121. #10622600C22semidirect
122. #10622600C22semidirect
123. #10622599C22semidirect
124. #10622597C22semidirect
125. #10622595C22semidirect
126. #10622594C22semidirect
127. #10622594C22semidirect
128. #10622591C22semidirect
129. #10622591C22semidirect
130. #10622591C22semidirect
131. #10622574C22semidirect
132. #10622574C22semidirect
133. #10622574C22semidirect
136. #10622573C22semidirect
137. #10622572C22semidirect
139. #10622570C22semidirect
140. #10622570C22semidirect
149. #10622569C22semidirect
150. #10622569C22semidirect
151. #10622569C22semidirect
152. #10622569C22semidirect
153. #10622569C22semidirect
154. #10622569C22semidirect
155. #10622569C22semidirect
156. #10622569C22semidirect
157. #10622569C22semidirect
158. #10622569C22semidirect
159. #10622569C22semidirect
161. #10622568C22semidirect
162. #10622566C22semidirect
163. #10622566C22semidirect
164. #10622565C22semidirect
165. #10622564C22semidirect
166. #10622564C22semidirect
167. #10622563C22semidirect
168. #10622563C22semidirect
169. #10622562C22semidirect
170. #10622561C22semidirect
171. #10622559C22semidirect
172. #10622558C22semidirect
173. #10622558C22semidirect
174. #10622557C22semidirect
175. #10622557C22semidirect
176. #10622557C22semidirect
177. #10622557C22semidirect
178. #10622557C22semidirect
179. #10622557C22semidirect
180. #10622557C22semidirect
181. #10622556C22semidirect
182. #10622555C22semidirect
183. #10622553C22semidirect
184. C4×(C2×D11)⋊C4C22semidirect
185. C4×(C2×D11)⋊C4C22semidirect
186. #10622550C22semidirect
187. #10622549C22semidirect
188. #10622546C22semidirect
254. C4×D4×C11D4semidirect
462. C22×C4×C11C2×D4semidirect
570. C11×C4⋊C4C2×D4semidirect
584. C11×C22⋊C4C2×D4semidirect
586. C42×C11C2×D4semidirect
648. C2×#538D11semidirect
868. C2×#126C2×D11semidirect
869. C2×#126C2×D11semidirect
870. C2×#124C2×D11semidirect
871. C2×#124C2×D11semidirect
873. C2×#123C2×D11semidirect
874. C2×#123C2×D11semidirect
876. C2×C22⋊Q8C2×D11semidirect
882. C2×#121C2×D11semidirect
883. C2×#121C2×D11semidirect
890. C2×#120C2×D11semidirect
902. C2×C4×D4C2×D11semidirect
908. C22×C22⋊C4C2×D11semidirect
1085. C2×D11#538semidirect
1194. C4×D4C22⋊D11semidirect
1488. C22×C4C2×C22⋊D11semidirect
1518. C4⋊C4C2×C22⋊D11semidirect
1574. C22⋊C4C2×C22⋊D11semidirect
1581. C42C2×C22⋊D11semidirect
1582. C11#34990semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D112
#130769282
#130769122
#130769052
#130768952
#130745132
#130745012
#130744692
#130744552
#130728732
#130727382
#130726632
#130725492
#130725132
#130725042
#130724362
#130723622
#130723482
#130722792
#130721492
#130721482
#130720742
#130719872
#130719862
#130719272
#130713142
#130712742
#130712492
C4×#669902
C2×#106225692
C2×C11×#5382
#3499011