Finite Group Databasebeta

← #14926341

Subgroups — #14926341

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×#10623184C211yesmaximal, characteristic
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13076940C211yesmaximal, characteristic, complemented
4#13076940C211yesmaximal, characteristic, complemented
5#13076911C211yesmaximal, characteristic, complemented
6#13076909C211yesmaximal, characteristic, complemented
7#13074403C211yesmaximal, characteristic, complemented
8#13074397C211yesmaximal, characteristic, complemented
9#13074390C211yesmaximal, characteristic, complemented
10#13074390C211yesmaximal, characteristic, complemented
11#13072371C211yesmaximal, characteristic, complemented
12#13072367C211yesmaximal, characteristic, complemented
13#13072365C211yesmaximal, characteristic, complemented
14#13072361C211yesmaximal, characteristic, complemented
15#13072356C211yesmaximal, characteristic, complemented
16#13072352C211yesmaximal, characteristic, complemented
17#13072350C211yesmaximal, characteristic, complemented
18#13072346C211yesmaximal, characteristic, complemented
19#13072097C211yesmaximal, characteristic, complemented
20#13072093C211yesmaximal, characteristic, complemented
21#13072089C211yesmaximal, characteristic, complemented
22#13072084C211yesmaximal, characteristic, complemented
23#13072080C211yesmaximal, characteristic, complemented
24#13072076C211yesmaximal, characteristic, complemented
25#13072072C211yesmaximal, characteristic, complemented
26#13071229C211yesmaximal, characteristic, complemented
27#13071193C211yesmaximal, characteristic, complemented
28#13071190C211yesmaximal, characteristic, complemented
29C2×#10622278C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2419C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×#123C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×#66982C2211yescharacteristic, complemented
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
46C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
47#10623184—28no—
48C4×D4×D11—28no—
49C2×#66948C2211yescharacteristic
50C2×#66948C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic, complemented
54C2×#66947C2211yescharacteristic, complemented
55C2×#66946C2211yescharacteristic, complemented
56C2×C4⋊C4×D11C2211yescharacteristic, complemented
57C2×C4⋊C4×D11C2211yescharacteristic, complemented
58C2×C4⋊C4×D11C2211yescharacteristic, complemented
59C2×#66939C2211yescharacteristic, complemented
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic, complemented
73C11×#400C2211yescharacteristic, complemented
74C11×#398C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#387C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#385C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic, complemented
82C11×#381C2211yescharacteristic, complemented
83C11×#381C2211yescharacteristic, complemented
84C11×#380C2211yescharacteristic, complemented
85C2×C11×#95C2211yescharacteristic, complemented
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic, complemented
89#10622825C2211yescharacteristic, complemented
90#10622824C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92C2×C11⋊#95C2211yescharacteristic, complemented
93#10622606C2211yescharacteristic, complemented
94#10622605C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622605C2211yescharacteristic, complemented
97#10622604C2211yescharacteristic, complemented
98#10622604C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622603C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622599C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic, complemented
119#10622568C2211yescharacteristic, complemented
120#10622568C2211yescharacteristic, complemented
121#10622568C2211yescharacteristic, complemented
122#10622568C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622559C2211yescharacteristic, complemented
127#10622559C2211yescharacteristic, complemented
128#10622556C2211yescharacteristic, complemented
129#10622555C2211yescharacteristic, complemented
130#10622555C2211yescharacteristic, complemented
131#10622553C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic, complemented
133#10622290C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic, complemented
135#10622288C2211yescharacteristic, complemented
136#10622288C2211yescharacteristic, complemented
137#10622288C2211yescharacteristic, complemented
138#10622287C2211yescharacteristic, complemented
139#10622287C2211yescharacteristic, complemented
140#10622287C2211yescharacteristic, complemented
141#10622285C2211yescharacteristic, complemented
142#10622285C2211yescharacteristic, complemented
143#10622283C2211yescharacteristic, complemented
144#10622283C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic, complemented
147#10622281C2211yescharacteristic, complemented
148#10622281C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic, complemented
165#10622278C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic, complemented
180D11×#95C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C2×D4×D11—24no—
205C2×D4×D11—24no—
206C2×D4×D11D418yes—
207C22×D44—24no—
208C22×D44—24no—
209C22×D44—24no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—24no—
218C22×C4×D11—24no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11C2311yescharacteristic
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×#123—24no—
237C4×D4×C11—24no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊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
260#66990—24no—
261D4×Dic11—24no—
262#66982—24no—
263#66982—42no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11—24no—
266C2×(C2×D11)⋊C4—24no—
267C2×(C2×D11)⋊C4—42no—
268C2×(C2×D11)⋊C4—42no—
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327#66948—24no—
328#66948—24no—
329#66947—24no—
330#66947—24no—
331#66947—42no—
332#66947—42no—
333#66946—24no—
334C4⋊C4×D11—24no—
335C4⋊C4×D11—42no—
336C4⋊C4×D11—42no—
337#66939—42no—
338#66937—24no—
339#66937—24no—
340#66935—24no—
341#66935—24no—
342#66935—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—24no—
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
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
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—41no—
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×D11C2×D414yes—
412C23×D11C2×D414yes—
413C23×D11#4114yes—
414C23×D11#4114yes—
415C23×D11C2411yescharacteristic
416C23×D11C2411yescharacteristic
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11C2×D414yes—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11C2×D414yes—
459C2×C22⋊D11C2×D414yes—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480D4×D11—232no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×D44—416no—
502C2×D44C2×D414yes—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
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—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
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—22no—
547C11×C4⋊C4—22no—
548C11×C4⋊C4—41no—
549C11×C4⋊C4—41no—
550C11×C4⋊C4—41no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
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—41no—
565C22⋊Dic11—41no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
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—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
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—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604C4⋊Dic11—22no—
605C4⋊Dic11—22no—
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#2444—111no—
638#2443—111no—
639#2443—111no—
640#2443—111no—
641#2443—111no—
642#2419—111no—
643#2419—111no—
644#2419—111no—
645#2419D1111yescharacteristic, complemented
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×C11C22×D412yes—
666C23×C11C22×D412yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2511yescharacteristic
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—28no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
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—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
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—21no—
764C2×C4×C11—44no—
765C2×C4×C11—44no—
766C2×C4×C11—44no—
767C2×C4×C11—82no—
768C2×C4×C11C22×D412yes—
769C2×C4×C11H(5,𝔽2)12yes—
770C22⋊D11—28no—
771C22⋊D11—28no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C2×Dic11—21no—
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—44no—
806C2×Dic11—44no—
807C2×Dic11—82no—
808C2×Dic11C22×D412yes—
809C2×Dic11H(5,𝔽2)12yes—
810D44—28no—
811D44—44no—
812D44—44no—
813D44—44no—
814D44—44no—
815D44—82no—
816D44—82no—
817C4×D11—28no—
818C4×D11—28no—
819C4×D11—44no—
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×#123C2×D1111yescharacteristic
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
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
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#398C2×D1111yescharacteristic, complemented
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#394—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#388—111no—
910#388—111no—
911#387—111no—
912#387—111no—
913#387—111no—
914#387—111no—
915#387—111no—
916#387—111no—
917#387C2×D1111yescharacteristic, complemented
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#386—111no—
944#386—111no—
945#386—111no—
946#386C2×D1111yescharacteristic
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#385C2×D1111yescharacteristic, complemented
966#385C2×D1111yescharacteristic, complemented
967#381—111no—
968#381—111no—
969#381—111no—
970#381—111no—
971#381—111no—
972#381—111no—
973#381C2×D1111yescharacteristic, complemented
974#381C2×D1111yescharacteristic, complemented
975#380—111no—
976#380—111no—
977#380—111no—
978#380C2×D1111yescharacteristic, complemented
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×C11C2×#12314yes—
1001C22×C11C23×D411yescharacteristic
1002C22×C11C22×#4111yescharacteristic
1003C22×C11C22×#4111yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11C2×H(5,𝔽2)11yescharacteristic
1006C22×C11#58511yescharacteristic
1007C22×C11#58511yescharacteristic
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
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—416no—
1024C2×D11—416no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
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—
1058C4×C11—41no—
1059Dic11—22no—
1060Dic11—22no—
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—111no—
1084C22×D4—111no—
1085C22×D4—224no—
1086C22×D4—224no—
1087C22×D4—224no—
1088C22×D4—224no—
1089C22×D4—224no—
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—24no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—442no—
1122#123—442no—
1123#123—442no—
1124#123—442no—
1125#121—224no—
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—224no—
1159C2×C4⋊C4—442no—
1160C2×C4⋊C4—442no—
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—224no—
1213C2×C22⋊C4—224no—
1214C2×C22⋊C4—224no—
1215C2×C22⋊C4—224no—
1216C2×C22⋊C4—224no—
1217C2×C22⋊C4—442no—
1218C2×C22⋊C4—442no—
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#95C22×D1111yescharacteristic
1259#95C22×D1111yescharacteristic
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×C11C22×#12311yescharacteristic
1275C2×C11#345911yescharacteristic
1276C2×C11#345911yescharacteristic
1277C2×C11#348411yescharacteristic
1278C2×C11#348511yescharacteristic
1279C2×C11#350511yescharacteristic
1280C2×C11#350511yescharacteristic
1281D11—24no—
1282D11—24no—
1283D11—42no—
1284D11—81no—
1285D11—81no—
1286C24—111no—
1287C24—111no—
1288C24—114no—
1289C24—114no—
1290C24—114no—
1291C24—111no—
1292C24—114no—
1293C24—111no—
1294C24—111no—
1295C24—222no—
1296C24—222no—
1297C24—222no—
1298C24—222no—
1299C24—222no—
1300C24—441no—
1301C24—441no—
1302C24—441no—
1303C24—441no—
1304C24—441no—
1305C24—441no—
1306C24—441no—
1307C24—441no—
1308C24—441no—
1309C24—441no—
1310C24—441no—
1311C24—441no—
1312C24C23×D1111yescharacteristic
1313C24C23×D1111yescharacteristic
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—114no—
1317C2×D4—114no—
1318C2×D4—114no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—2232no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—4416no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4D4×D1114yes—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
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—222no—
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—441no—
1402C22×C4—441no—
1403C22×C4—441no—
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—441no—
1419C22×C4—4416no—
1420C22×C4—4416no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4C23×D1111yescharacteristic
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—22no—
1441C4⋊C4—22no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
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—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
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—441no—
1497C22⋊C4—441no—
1498C22⋊C4—441no—
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—112no—
1530C23—112no—
1531C23—112no—
1532C23—112no—
1533C23—112no—
1534C23—112no—
1535C23—1116no—
1536C23—112no—
1537C23—228no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
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—228no—
1592D4—228no—
1593D4—228no—
1594D4—444no—
1595D4—444no—
1596D4—444no—
1597D4—444no—
1598D4—882no—
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—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—112no—
1644C2×C4—112no—
1645C2×C4—228no—
1646C2×C4—228no—
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—114no—
1708C22—114no—
1709C22—222no—
1710C22—222no—
1711C22—222no—
1712C22—222no—
1713C22—222no—
1714C22—222no—
1715C22—222no—
1716C22—222no—
1717C22—222no—
1718C22—222no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—222no—
1724C22—4416no—
1725C22—4416no—
1726C22—441no—
1727C22—441no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
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#1062345711yescharacteristic
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—41no—
1766C4—222no—
1767C4—222no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4—441no—
1774C4—441no—
1775C4—441no—
1776C4—441no—
1777C2—24no—
1778C2—42no—
1779C2—224no—
1780C2—224no—
1781C2—442no—
1782C2—881no—
1783C2—881no—
1784C2C2×D11×#12311yescharacteristic
1785C2#1308202411yescharacteristic
1786C2#1308202611yescharacteristic
1787C2#1308224611yescharacteristic
1788C2#1308225511yescharacteristic
1789C2#1308244711yescharacteristic
1790C2#1308245611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2419C2
prime radicalC2×#10623184C2
hypercenter#2419D11
hypocenterC11#34983
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D11C2semidirect
3. #13076940C2semidirect
4. #13076940C2semidirect
5. #13076911C2semidirect
6. #13076909C2semidirect
7. #13074403C2semidirect
8. #13074397C2semidirect
9. #13074390C2semidirect
10. #13074390C2semidirect
11. #13072371C2semidirect
12. #13072367C2semidirect
13. #13072365C2semidirect
14. #13072361C2semidirect
15. #13072356C2semidirect
16. #13072352C2semidirect
17. #13072350C2semidirect
18. #13072346C2semidirect
19. #13072097C2semidirect
20. #13072093C2semidirect
21. #13072089C2semidirect
22. #13072084C2semidirect
23. #13072080C2semidirect
24. #13072076C2semidirect
25. #13072072C2semidirect
26. #13071229C2semidirect
27. #13071193C2semidirect
28. #13071190C2semidirect
29. C2×#10622278C2semidirect
30. D11×#385C2semidirect
31. C11×#2419C2semidirect
35. C23×C4×D11C22semidirect
41. C2×#66982C22semidirect
43. C2×C4×C22⋊D11C22semidirect
45. C22×(C2×D11)⋊C4C22semidirect
46. C22×(C2×D11)⋊C4C22semidirect
53. C2×#66947C22semidirect
54. C2×#66947C22semidirect
55. C2×#66946C22semidirect
56. C2×C4⋊C4×D11C22semidirect
57. C2×C4⋊C4×D11C22semidirect
58. C2×C4⋊C4×D11C22semidirect
59. C2×#66939C22semidirect
66. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×C22⋊C4×D11C22semidirect
71. C2×C4×D44C22semidirect
72. C2×C42×D11C22semidirect
73. C11×#400C22semidirect
74. C11×#398C22semidirect
75. C11×#397C22semidirect
76. C11×#397C22semidirect
77. C11×#387C22semidirect
78. C11×#387C22semidirect
80. C11×#385C22semidirect
81. C11×#385C22semidirect
82. C11×#381C22semidirect
83. C11×#381C22semidirect
84. C11×#380C22semidirect
85. C2×C11×#95C22semidirect
88. #10622826C22semidirect
89. #10622825C22semidirect
90. #10622824C22semidirect
91. #10622823C22semidirect
92. C2×C11⋊#95C22semidirect
93. #10622606C22semidirect
94. #10622605C22semidirect
95. #10622605C22semidirect
96. #10622605C22semidirect
97. #10622604C22semidirect
98. #10622604C22semidirect
99. #10622603C22semidirect
100. #10622603C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
107. #10622599C22semidirect
108. #10622596C22semidirect
109. #10622591C22semidirect
110. #10622591C22semidirect
111. #10622574C22semidirect
112. #10622574C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
116. #10622571C22semidirect
117. #10622569C22semidirect
118. #10622569C22semidirect
119. #10622568C22semidirect
120. #10622568C22semidirect
121. #10622568C22semidirect
122. #10622568C22semidirect
123. #10622565C22semidirect
124. #10622565C22semidirect
125. #10622563C22semidirect
126. #10622559C22semidirect
127. #10622559C22semidirect
128. #10622556C22semidirect
129. #10622555C22semidirect
130. #10622555C22semidirect
131. #10622553C22semidirect
132. #10622553C22semidirect
133. #10622290C22semidirect
134. #10622288C22semidirect
135. #10622288C22semidirect
136. #10622288C22semidirect
137. #10622288C22semidirect
138. #10622287C22semidirect
139. #10622287C22semidirect
140. #10622287C22semidirect
141. #10622285C22semidirect
142. #10622285C22semidirect
143. #10622283C22semidirect
144. #10622283C22semidirect
145. #10622282C22semidirect
146. #10622282C22semidirect
147. #10622281C22semidirect
148. #10622281C22semidirect
149. #10622281C22semidirect
150. #10622281C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622281C22semidirect
163. #10622278C22semidirect
164. #10622278C22semidirect
165. #10622278C22semidirect
166. #10622278C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622277C22semidirect
176. #10622277C22semidirect
177. #10622277C22semidirect
178. #10622277C22semidirect
179. D11×#95C22semidirect
180. D11×#95C22semidirect
181. #10622271C22semidirect
182. #10622271C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622267C22semidirect
186. #10622267C22semidirect
187. #10622265C22semidirect
188. #10622265C22semidirect
645. #2419D11semidirect
718. C22×D11#123semidirect
874. #400C2×D11semidirect
882. #398C2×D11semidirect
893. #397C2×D11semidirect
894. #397C2×D11semidirect
917. #387C2×D11semidirect
918. #387C2×D11semidirect
965. #385C2×D11semidirect
966. #385C2×D11semidirect
973. #381C2×D11semidirect
974. #381C2×D11semidirect
978. #380C2×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×#106231842
C2×C4×D4×D112
#130769402
#130769112
#130769092
#130744032
#130743972
#130743902
#130723712
#130723672
#130723652
#130723612
#130723562
#130723522
#130723502
#130723462
#130720972
#130720932
#130720892
#130720842
#130720802
#130720762
#130720722
#130712292
#130711932
#130711902
C2×#106222782
D11×#3852
C11×#24192
#3498311