Finite Group Databasebeta

← #14926337

Subgroups — #14926337

Order 2816.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623136C211yesmaximal, characteristic
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13076940C211yesmaximal, characteristic, complemented
4#13076936C211yesmaximal, characteristic, complemented
5#13076909C211yesmaximal, characteristic, complemented
6#13076907C211yesmaximal, characteristic, complemented
7#13074403C211yesmaximal, characteristic, complemented
8#13074395C211yesmaximal, characteristic, complemented
9#13074390C211yesmaximal, characteristic, complemented
10#13074388C211yesmaximal, characteristic, complemented
11#13072370C211yesmaximal, characteristic, complemented
12#13072366C211yesmaximal, characteristic, complemented
13#13072362C211yesmaximal, characteristic, complemented
14#13072357C211yesmaximal, characteristic, complemented
15#13072353C211yesmaximal, characteristic, complemented
16#13072349C211yesmaximal, characteristic, complemented
17#13072345C211yesmaximal, characteristic, complemented
18#13072100C211yesmaximal, characteristic, complemented
19#13072096C211yesmaximal, characteristic, complemented
20#13072090C211yesmaximal, characteristic, complemented
21#13072086C211yesmaximal, characteristic, complemented
22#13072083C211yesmaximal, characteristic, complemented
23#13072079C211yesmaximal, characteristic, complemented
24#13072077C211yesmaximal, characteristic, complemented
25#13072073C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071190C211yesmaximal, characteristic, complemented
28#13071190C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic, complemented
43C2×#66983C2211yescharacteristic
44C2×#66982C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic, complemented
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C22×C4⋊Dic11C2211yescharacteristic, complemented
50C22×Dic11⋊C4C2211yescharacteristic, complemented
51#10623136—28no—
52C4×D4×D11—28no—
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66946C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic, complemented
57C2×#66939C2211yescharacteristic, complemented
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic, complemented
61C2×#66936C2211yescharacteristic, complemented
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic, complemented
69C2×C22⋊C4×D11C2211yescharacteristic, complemented
70C2×C22⋊C4×D11C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic, complemented
73C11×#400C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic, complemented
81C11×#386C2211yescharacteristic, complemented
82C11×#386C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic, complemented
84C11×#381C2211yescharacteristic, complemented
85C2×C11×#95C2211yescharacteristic, complemented
86#10622835C2211yescharacteristic, complemented
87#10622833C2211yescharacteristic, complemented
88#10622833C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic, complemented
91#10622826C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622826C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96C2×C11⋊#95C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622604C2211yescharacteristic, complemented
100#10622603C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622600C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622593C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622572C2211yescharacteristic, complemented
112#10622572C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic, complemented
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622568C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic, complemented
124#10622568C2211yescharacteristic, complemented
125#10622568C2211yescharacteristic, complemented
126#10622566C2211yescharacteristic, complemented
127#10622566C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic, complemented
133#10622562C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622556C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622290C2211yescharacteristic, complemented
142#10622288C2211yescharacteristic, complemented
143#10622288C2211yescharacteristic, complemented
144#10622288C2211yescharacteristic, complemented
145#10622288C2211yescharacteristic, complemented
146#10622287C2211yescharacteristic, complemented
147#10622285C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178D11×#95C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×D4×D11—24no—
210C2×D4×D11—24no—
211C2×D4×D11—24no—
212C2×D4×D11—24no—
213C2×D4×D11—24no—
214C2×D4×D11D418yes—
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11—24no—
219C22×C4×D11—24no—
220C22×C4×D11—42no—
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11—42no—
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C11×#121—24no—
237C4×D4×C11—24no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265#66992—24no—
266#66992—24no—
267#66990—24no—
268#66990—24no—
269D4×Dic11—24no—
270#66983—24no—
271#66982—42no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C2×(C2×D11)⋊C4—24no—
275C2×(C2×D11)⋊C4—24no—
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×C4⋊Dic11—42no—
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×Dic11⋊C4—42no—
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331#66947—24no—
332#66947—24no—
333#66946—24no—
334C4⋊C4×D11—24no—
335#66939—42no—
336#66936—24no—
337#66936—24no—
338#66936—42no—
339#66936—42no—
340#66935—24no—
341#66935—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344C22⋊C4×D11—24no—
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—42no—
348C22⋊C4×D11—42no—
349C4×D44—24no—
350C42×D11—24no—
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
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
391#34983—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11—41no—
411C23×D11—41no—
412C23×D11C2×D414yes—
413C23×D11C2×D414yes—
414C23×D11#4114yes—
415C23×D11#4114yes—
416C23×D11C2411yescharacteristic
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11C2×D414yes—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11C2×D414yes—
470C2×C22⋊D11C2×D414yes—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495D4×D11—232no—
496D4×D11—416no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—22no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44C2×D414yes—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—416no—
542C2×C4×D11—416no—
543C2×C4×D11C2×D414yes—
544C11×C4⋊C4—22no—
545C11×C4⋊C4—22no—
546C11×C4⋊C4—41no—
547C11×C4⋊C4—41no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C42×C11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601C4⋊Dic11—22no—
602C4⋊Dic11—22no—
603C4⋊Dic11—22no—
604C4⋊Dic11—22no—
605C4⋊Dic11—41no—
606C4⋊Dic11—41no—
607C4⋊Dic11—41no—
608C4⋊Dic11—41no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621C4×Dic11—22no—
622C4×Dic11—22no—
623C4×Dic11—22no—
624C2×#534—111no—
625C22×C4×D4—111no—
626#2853—111no—
627#2853—111no—
628#2849—111no—
629#2849—111no—
630#2623—111no—
631#2623—111no—
632#2622—111no—
633#2622—111no—
634#2444—111no—
635#2444—111no—
636#2444—111no—
637#2444D1111yescharacteristic, complemented
638#2443—111no—
639#2443—111no—
640#2443—111no—
641#2443—111no—
642#2419—111no—
643#2419—111no—
644#2419—111no—
645#2419—111no—
646#2418—111no—
647#2418—111no—
648#2418—111no—
649#2418—111no—
650#2315—111no—
651#2308—111no—
652#2308—111no—
653C2×#386—111no—
654C2×#385—111no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11C22×D412yes—
673C23×C11C22×D412yes—
674C23×C11C2×#4112yes—
675C23×C11C2×#4112yes—
676C23×C11C2511yescharacteristic
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—28no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—44no—
710C22×D11—44no—
711C22×D11—44no—
712C22×D11—44no—
713C22×D11—44no—
714C22×D11—82no—
715C22×D11—82no—
716C22×D11—82no—
717C22×D11—82no—
718C22×D11#123116yescomplemented
719C22×D11C22×D412yes—
720C22×D11C22×D412yes—
721C22×D11C22×D412yes—
722C22×D11C2×#4112yes—
723C22×D11C2×#4112yes—
724C22×D11C2×#4112yes—
725C22×D11C2×#4112yes—
726D4×C11—28no—
727D4×C11—44no—
728D4×C11—82no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—44no—
764C2×C4×C11—44no—
765C2×C4×C11—44no—
766C2×C4×C11—82no—
767C2×C4×C11C22×D412yes—
768C2×C4×C11H(5,𝔽2)12yes—
769C22⋊D11—28no—
770C22⋊D11—28no—
771C22⋊D11—44no—
772C22⋊D11—44no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—44no—
810C2×Dic11—44no—
811C2×Dic11—44no—
812C2×Dic11—82no—
813C2×Dic11C22×D412yes—
814C2×Dic11H(5,𝔽2)12yes—
815D44—28no—
816D44—44no—
817D44—82no—
818C4×D11—28no—
819C4×D11—28no—
820C4×D11—44no—
821C4×D11—44no—
822C4×D11—44no—
823C4×D11—44no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—82no—
829C4×D11—82no—
830C23×D4—111no—
831C23×D4—111no—
832C24×C4—111no—
833C24×C4—111no—
834#534—228no—
835C2×#123—111no—
836C2×#123—111no—
837C2×#123—111no—
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121C2×D1111yescharacteristic
847C2×#120—111no—
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×C4×D4—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C2×C4×D4—228no—
859C2×C4×D4C2×D1111yescharacteristic, complemented
860C22×C4⋊C4—111no—
861C22×C4⋊C4—111no—
862C22×C4⋊C4—111no—
863C22×C22⋊C4—111no—
864C22×C22⋊C4—111no—
865C22×C22⋊C4—111no—
866C22×C22⋊C4—111no—
867C22×C22⋊C4—111no—
868C22×C22⋊C4—111no—
869C22×C22⋊C4—111no—
870C22×C42—111no—
871#400—111no—
872#400—111no—
873#400—111no—
874#400C2×D1111yescharacteristic, complemented
875#399—111no—
876#399—111no—
877#399—111no—
878#399—111no—
879#398—111no—
880#398—111no—
881#398—111no—
882#398—111no—
883#397—111no—
884#397—111no—
885#397—111no—
886#397—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#397—111no—
891#397—111no—
892#397—111no—
893#397C2×D1111yescharacteristic, complemented
894#397C2×D1111yescharacteristic, complemented
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394C2×D1111yescharacteristic, complemented
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#388—111no—
910#388C2×D1111yescharacteristic, complemented
911#387—111no—
912#387—111no—
913#387—111no—
914#387—111no—
915#387—111no—
916#387—111no—
917#387—111no—
918#387C2×D1111yescharacteristic, complemented
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386C2×D1111yescharacteristic, complemented
944#386C2×D1111yescharacteristic, complemented
945#386C2×D1111yescharacteristic, complemented
946#386C2×D1111yescharacteristic, complemented
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#385—111no—
959#385—111no—
960#385—111no—
961#385—111no—
962#385—111no—
963#385—111no—
964#385—111no—
965#385—111no—
966#385C2×D1111yescharacteristic, complemented
967#381—111no—
968#381—111no—
969#381—111no—
970#381—111no—
971#381—111no—
972#381—111no—
973#381—111no—
974#381C2×D1111yescharacteristic, complemented
975#380—111no—
976#380—111no—
977#380—111no—
978#380—111no—
979#379—111no—
980#379—111no—
981#379—111no—
982#379—111no—
983C2×#95—111no—
984C2×#95—111no—
985C2×#95—111no—
986C2×#95C2×D1111yescharacteristic, complemented
987C22×C11—22no—
988C22×C11—22no—
989C22×C11—22no—
990C22×C11—22no—
991C22×C11—22no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11C2×#12314yes—
1008C22×C11C23×D411yescharacteristic
1009C22×C11C22×#4111yescharacteristic
1010C22×C11C22×#4111yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11C2×H(5,𝔽2)11yescharacteristic
1013C22×C11#58511yescharacteristic
1014C22×C11#58511yescharacteristic
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—22no—
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—22no—
1025C2×D11—22no—
1026C2×D11—22no—
1027C2×D11—22no—
1028C2×D11—22no—
1029C2×D11—22no—
1030C2×D11—416no—
1031C2×D11—416no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—88no—
1044C2×D11C2×#12314yes—
1045C2×D11C2×#12314yes—
1046C4×C11—22no—
1047C4×C11—22no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058Dic11—22no—
1059Dic11—22no—
1060Dic11—41no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070C25—111no—
1071C25—111no—
1072C25—111no—
1073C22×D4—111no—
1074C22×D4—111no—
1075C22×D4—118no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—111no—
1083C22×D4—224no—
1084C22×D4—224no—
1085C22×D4—224no—
1086C22×D4—224no—
1087C22×D4—224no—
1088C22×D4C22×D1111yescharacteristic
1089C22×D4C22×D1111yescharacteristic
1090C22×D4C22×D1111yescharacteristic
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—111no—
1094C23×C4—111no—
1095C23×C4—111no—
1096C23×C4—111no—
1097C23×C4—111no—
1098C23×C4—111no—
1099C23×C4—111no—
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—111no—
1105C23×C4—111no—
1106C23×C4—111no—
1107C23×C4—224no—
1108C23×C4—224no—
1109C23×C4—442no—
1110C23×C4—442no—
1111C23×C4—442no—
1112C23×C4—442no—
1113C23×C4C22×D1111yescharacteristic
1114C23×C4C22×D1111yescharacteristic
1115C23×C4C22×D1111yescharacteristic
1116C23×C4C22×D1111yescharacteristic
1117#123—224no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—442no—
1122#123—442no—
1123#123—442no—
1124#123—442no—
1125#121—24no—
1126#121—224no—
1127#121—224no—
1128#121—224no—
1129#120—224no—
1130#120—224no—
1131#120—224no—
1132#120—224no—
1133C4×D4—24no—
1134C4×D4—224no—
1135C4×D4—224no—
1136C4×D4—224no—
1137C4×D4—224no—
1138C4×D4—224no—
1139C4×D4—224no—
1140C4×D4—224no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—224no—
1162C2×C4⋊C4—442no—
1163C2×C4⋊C4—442no—
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C4⋊C4C22×D1111yescharacteristic
1166C2×C4⋊C4C22×D1111yescharacteristic
1167C2×C4⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—224no—
1210C2×C22⋊C4—224no—
1211C2×C22⋊C4—224no—
1212C2×C22⋊C4—224no—
1213C2×C22⋊C4—224no—
1214C2×C22⋊C4—442no—
1215C2×C22⋊C4—442no—
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C22⋊C4C22×D1111yescharacteristic
1221C2×C22⋊C4C22×D1111yescharacteristic
1222C2×C22⋊C4C22×D1111yescharacteristic
1223C2×C22⋊C4C22×D1111yescharacteristic
1224C2×C22⋊C4C22×D1111yescharacteristic
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C42—111no—
1228C2×C42—111no—
1229C2×C42—111no—
1230C2×C42—224no—
1231C2×C42C22×D1111yescharacteristic
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95C22×D1111yescharacteristic
1261#95C22×D1111yescharacteristic
1262#95C22×D1111yescharacteristic
1263#95C22×D1111yescharacteristic
1264#95C22×D1111yescharacteristic
1265#95C22×D1111yescharacteristic
1266#95C22×D1111yescharacteristic
1267#95C22×D1111yescharacteristic
1268#95C22×D1111yescharacteristic
1269#95C22×D1111yescharacteristic
1270#95C22×D1111yescharacteristic
1271#95C22×D1111yescharacteristic
1272C2×C11—24no—
1273C2×C11—42no—
1274C2×C11—81no—
1275C2×C11C22×#12311yescharacteristic
1276C2×C11#345911yescharacteristic
1277C2×C11#345911yescharacteristic
1278C2×C11#348411yescharacteristic
1279C2×C11#348511yescharacteristic
1280C2×C11#350511yescharacteristic
1281C2×C11#350511yescharacteristic
1282D11—24no—
1283D11—24no—
1284D11—42no—
1285D11—81no—
1286C24—111no—
1287C24—111no—
1288C24—114no—
1289C24—114no—
1290C24—114no—
1291C24—111no—
1292C24—114no—
1293C24—111no—
1294C24—222no—
1295C24—222no—
1296C24—222no—
1297C24—222no—
1298C24—222no—
1299C24—441no—
1300C24—441no—
1301C24—441no—
1302C24—441no—
1303C24—441no—
1304C24—441no—
1305C24—441no—
1306C24—441no—
1307C24—441no—
1308C24—441no—
1309C24—441no—
1310C24—441no—
1311C24C23×D1111yescharacteristic
1312C24C23×D1111yescharacteristic
1313C24C23×D1111yescharacteristic
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—114no—
1323C2×D4—114no—
1324C2×D4—114no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—2232no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—4416no—
1351C2×D4D4×D1114yes—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—114no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—222no—
1390C22×C4—222no—
1391C22×C4—222no—
1392C22×C4—222no—
1393C22×C4—222no—
1394C22×C4—222no—
1395C22×C4—222no—
1396C22×C4—222no—
1397C22×C4—222no—
1398C22×C4—222no—
1399C22×C4—222no—
1400C22×C4—222no—
1401C22×C4—222no—
1402C22×C4—222no—
1403C22×C4—222no—
1404C22×C4—441no—
1405C22×C4—441no—
1406C22×C4—441no—
1407C22×C4—441no—
1408C22×C4—441no—
1409C22×C4—441no—
1410C22×C4—441no—
1411C22×C4—441no—
1412C22×C4—441no—
1413C22×C4—441no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—4416no—
1419C22×C4—4416no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C22×C4C23×D1111yescharacteristic
1434C22×C4C23×D1111yescharacteristic
1435C22×C4C23×D1111yescharacteristic
1436C22×C4C23×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—441no—
1453C4⋊C4—441no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C4⋊C4—441no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4—441no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C42—22no—
1515C42—222no—
1516C42—222no—
1517C42—222no—
1518C11#3498311yescharacteristic, complemented, Sylow
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—112no—
1537C23—112no—
1538C23—112no—
1539C23—112no—
1540C23—112no—
1541C23—112no—
1542C23—1116no—
1543C23—112no—
1544C23—228no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—444no—
1567C23—444no—
1568C23—444no—
1569C23—444no—
1570C23—444no—
1571C23—444no—
1572C23—444no—
1573C23—444no—
1574C23—444no—
1575C23—444no—
1576C23—444no—
1577C23—444no—
1578C23—444no—
1579C23—444no—
1580C23—444no—
1581C23—882no—
1582C23—882no—
1583C23—882no—
1584C23—882no—
1585C23C2×D4×D1112yes—
1586C23C2×D4×D1112yes—
1587C23#41×D1112yes—
1588C23#41×D1112yes—
1589C23C24×D1111yescharacteristic
1590D4—28no—
1591D4—44no—
1592D4—82no—
1593D4—228no—
1594D4—228no—
1595D4—228no—
1596D4—444no—
1597D4—444no—
1598D4—444no—
1599D4—882no—
1600D4—882no—
1601D4—882no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—82no—
1640C2×C4—112no—
1641C2×C4—112no—
1642C2×C4—228no—
1643C2×C4—228no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—444no—
1679C2×C4—444no—
1680C2×C4—444no—
1681C2×C4—444no—
1682C2×C4—444no—
1683C2×C4—444no—
1684C2×C4—444no—
1685C2×C4—444no—
1686C2×C4—444no—
1687C2×C4—444no—
1688C2×C4—444no—
1689C2×C4—882no—
1690C2×C4—882no—
1691C2×C4—882no—
1692C2×C4C2×D4×D1112yes—
1693C2×C4#6704212yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—114no—
1715C22—114no—
1716C22—222no—
1717C22—222no—
1718C22—222no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—222no—
1724C22—222no—
1725C22—222no—
1726C22—222no—
1727C22—222no—
1728C22—222no—
1729C22—222no—
1730C22—222no—
1731C22—4416no—
1732C22—4416no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—888no—
1745C22D11×#12314yes—
1746C22C22×D4×D1111yescharacteristic
1747C22C2×#41×D1111yescharacteristic
1748C22C2×#41×D1111yescharacteristic
1749C22C2×#6704211yescharacteristic
1750C22#1062345311yescharacteristic
1751C22D11×H(5,𝔽2)11yescharacteristic
1752C22#1062345511yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—222no—
1766C4—222no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4—441no—
1774C4—441no—
1775C4—441no—
1776C4—441no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—224no—
1781C2—224no—
1782C2—442no—
1783C2—881no—
1784C2C2×D11×#12311yescharacteristic
1785C2#1308202611yescharacteristic
1786C2#1308202711yescharacteristic
1787C2#1308224611yescharacteristic
1788C2#1308225311yescharacteristic
1789C2#1308244511yescharacteristic
1790C2#1308244911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2444C2
prime radicalC2×#10623136C2
hypercenter#2444D11
hypocenterC11#34983
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D11C2semidirect
3. #13076940C2semidirect
4. #13076936C2semidirect
5. #13076909C2semidirect
6. #13076907C2semidirect
7. #13074403C2semidirect
8. #13074395C2semidirect
9. #13074390C2semidirect
10. #13074388C2semidirect
11. #13072370C2semidirect
12. #13072366C2semidirect
13. #13072362C2semidirect
14. #13072357C2semidirect
15. #13072353C2semidirect
16. #13072349C2semidirect
17. #13072345C2semidirect
18. #13072100C2semidirect
19. #13072096C2semidirect
20. #13072090C2semidirect
21. #13072086C2semidirect
22. #13072083C2semidirect
23. #13072079C2semidirect
24. #13072077C2semidirect
25. #13072073C2semidirect
26. #13071227C2semidirect
27. #13071190C2semidirect
28. #13071190C2semidirect
29. D11×#386C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2444C2semidirect
35. C23×C4×D11C22semidirect
37. C2×C4×D4×C11C22semidirect
42. C2×D4×Dic11C22semidirect
44. C2×#66982C22semidirect
46. C2×C4×C22⋊D11C22semidirect
49. C22×C4⋊Dic11C22semidirect
50. C22×Dic11⋊C4C22semidirect
56. C2×C4⋊C4×D11C22semidirect
57. C2×#66939C22semidirect
60. C2×#66936C22semidirect
61. C2×#66936C22semidirect
65. C2×(C22⋊D11)⋊C4C22semidirect
68. C2×C22⋊C4×D11C22semidirect
69. C2×C22⋊C4×D11C22semidirect
70. C2×C22⋊C4×D11C22semidirect
72. C2×C42×D11C22semidirect
73. C11×#400C22semidirect
74. C11×#397C22semidirect
75. C11×#397C22semidirect
76. C11×#394C22semidirect
77. C11×#388C22semidirect
78. C11×#387C22semidirect
79. C11×#386C22semidirect
80. C11×#386C22semidirect
81. C11×#386C22semidirect
82. C11×#386C22semidirect
83. C11×#385C22semidirect
84. C11×#381C22semidirect
85. C2×C11×#95C22semidirect
86. #10622835C22semidirect
87. #10622833C22semidirect
88. #10622833C22semidirect
89. #10622833C22semidirect
90. #10622833C22semidirect
91. #10622826C22semidirect
92. #10622826C22semidirect
93. #10622826C22semidirect
94. #10622823C22semidirect
95. #10622823C22semidirect
96. C2×C11⋊#95C22semidirect
97. #10622606C22semidirect
98. #10622605C22semidirect
99. #10622604C22semidirect
100. #10622603C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
103. #10622600C22semidirect
104. #10622600C22semidirect
105. #10622599C22semidirect
106. #10622594C22semidirect
107. #10622593C22semidirect
108. #10622591C22semidirect
109. #10622574C22semidirect
110. #10622574C22semidirect
111. #10622572C22semidirect
112. #10622572C22semidirect
113. #10622571C22semidirect
114. #10622571C22semidirect
115. #10622571C22semidirect
122. #10622568C22semidirect
123. #10622568C22semidirect
124. #10622568C22semidirect
125. #10622568C22semidirect
126. #10622566C22semidirect
127. #10622566C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622563C22semidirect
132. #10622563C22semidirect
133. #10622562C22semidirect
134. #10622562C22semidirect
135. #10622559C22semidirect
136. #10622558C22semidirect
137. #10622557C22semidirect
138. #10622556C22semidirect
139. #10622553C22semidirect
140. #10622546C22semidirect
141. #10622290C22semidirect
142. #10622288C22semidirect
143. #10622288C22semidirect
144. #10622288C22semidirect
145. #10622288C22semidirect
146. #10622287C22semidirect
147. #10622285C22semidirect
148. #10622283C22semidirect
149. #10622282C22semidirect
150. #10622281C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622281C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622280C22semidirect
163. #10622280C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
174. #10622277C22semidirect
175. #10622277C22semidirect
176. #10622277C22semidirect
177. #10622277C22semidirect
178. D11×#95C22semidirect
179. D11×#95C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622273C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622266C22semidirect
188. #10622265C22semidirect
637. #2444D11semidirect
718. C22×D11#123semidirect
859. C2×C4×D4C2×D11semidirect
874. #400C2×D11semidirect
893. #397C2×D11semidirect
894. #397C2×D11semidirect
902. #394C2×D11semidirect
910. #388C2×D11semidirect
918. #387C2×D11semidirect
943. #386C2×D11semidirect
944. #386C2×D11semidirect
945. #386C2×D11semidirect
946. #386C2×D11semidirect
966. #385C2×D11semidirect
974. #381C2×D11semidirect
986. C2×#95C2×D11semidirect
1518. C11#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#106231362
C2×C4×D4×D112
#130769402
#130769362
#130769092
#130769072
#130744032
#130743952
#130743902
#130743882
#130723702
#130723662
#130723622
#130723572
#130723532
#130723492
#130723452
#130721002
#130720962
#130720902
#130720862
#130720832
#130720792
#130720772
#130720732
#130712272
#130711902
D11×#3862
C2×#106222812
C11×#24442
#3498311