Finite Group Databasebeta

← #14961312

Subgroups — #14961312

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623200C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076944C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13075539C211yesmaximal, characteristic, complemented
6#13075442C211yesmaximal, characteristic, complemented
7#13075421C211yesmaximal, characteristic, complemented
8#13075221C211yesmaximal, characteristic, complemented
9#13075193C211yesmaximal, characteristic, complemented
10#13075172C211yesmaximal, characteristic, complemented
11#13075095C211yesmaximal, characteristic, complemented
12#13075049C211yesmaximal, characteristic, complemented
13#13075015C211yesmaximal, characteristic, complemented
14#13075010C211yesmaximal, characteristic, complemented
15#13074993C211yesmaximal, characteristic, complemented
16#13074912C211yesmaximal, characteristic, complemented
17#13074896C211yesmaximal, characteristic, complemented
18#13074844C211yesmaximal, characteristic, complemented
19#13074818C211yesmaximal, characteristic, complemented
20#13074765C211yesmaximal, characteristic, complemented
21#13074741C211yesmaximal, characteristic, complemented
22#13074304C211yesmaximal, characteristic, complemented
23#13074251C211yesmaximal, characteristic, complemented
24#13074234C211yesmaximal, characteristic, complemented
25#13074206C211yesmaximal, characteristic, complemented
26#13074103C211yesmaximal, characteristic, complemented
27#13073770C211yesmaximal, characteristic, complemented
28#13072048C211yesmaximal, characteristic, complemented
29#13071994C211yesmaximal, characteristic, complemented
30#13071052C211yesmaximal, characteristic, complemented
31C11×#2712C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic, complemented
34C2×#67000C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic, complemented
38C2×#66997C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66988C2211yescharacteristic, complemented
45C22×C4×Dic11C2211yescharacteristic, complemented
46#10623209—28no—
47#10623200—28no—
48C2×#66945C2211yescharacteristic
49C2×#66939C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66938C2211yescharacteristic
53C2×#66937C2211yescharacteristic
54C2×#66937C2211yescharacteristic
55C2×#66936C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66932C2211yescharacteristic
61C2×#66932C2211yescharacteristic, complemented
62C2×#66931C2211yescharacteristic, complemented
63C2×#66931C2211yescharacteristic, complemented
64C2×#66930C2211yescharacteristic, complemented
65C2×#66929C2211yescharacteristic
66C2×#66929C2211yescharacteristic
67C2×C4×D44C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic, complemented
70C11×#394C2211yescharacteristic
71C11×#394C2211yescharacteristic
72C11×#393C2211yescharacteristic
73C11×#393C2211yescharacteristic, complemented
74C11×#392C2211yescharacteristic
75C11×#391C2211yescharacteristic, complemented
76C11×#391C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic, complemented
82#10622844C2211yescharacteristic
83#10622843C2211yescharacteristic, complemented
84#10622842C2211yescharacteristic, complemented
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic, complemented
87#10622835C2211yescharacteristic
88#10622834C2211yescharacteristic
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic
93#10622826C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic
95#10622605C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622601C2211yescharacteristic
99#10622600C2211yescharacteristic, complemented
100#10622598C2211yescharacteristic, complemented
101#10622596C2211yescharacteristic, complemented
102#10622592C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic, complemented
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic, complemented
116#10622571C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622566C2211yescharacteristic
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic, complemented
133#10622562C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622560C2211yescharacteristic
138#10622559C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622555C2211yescharacteristic, complemented
144C22⋊C4×Dic11C2211yescharacteristic, complemented
145#10622552C2211yescharacteristic
146#10622546C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622541C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622288C2211yescharacteristic
153#10622288C2211yescharacteristic, complemented
154#10622287C2211yescharacteristic
155#10622286C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622286C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic
160#10622285C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622273C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#124—24no—
214C11×#124—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#67000—24no—
248#66999—24no—
249#66999—24no—
250#66999—42no—
251#66997—24no—
252#66992—24no—
253#66992—24no—
254#66992—42no—
255#66990—24no—
256#66990—42no—
257#66988—24no—
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11—42no—
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66945—42no—
323#66939—24no—
324#66938—24no—
325#66938—24no—
326#66938—42no—
327#66937—24no—
328#66937—24no—
329#66936—24no—
330#66936—24no—
331#66935—24no—
332(C22⋊D11)⋊C4D418yescomplemented
333C22⋊C4×D11—24no—
334#66932—24no—
335#66932—24no—
336#66931—24no—
337#66931—24no—
338#66930—24no—
339#66929—24no—
340#66929—24no—
341C4×D44—24no—
342C4×Dic22—24no—
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36745—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11C2411yescharacteristic
391C23×D11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×Q8×C11—22no—
394C2×Q8×C11—22no—
395C2×Q8×C11—41no—
396C2×Q8×C11—41no—
397C2×Q8×C11—41no—
398C2×Q8×C11—41no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11C2×D414yes—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11C2×D414yes—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11C2×D414yes—
481C2×Dic22—22no—
482C2×Dic22—22no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4C2×D414yes—
504C42×C11—22no—
505C42×C11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4C2×D414yes—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4C2×D414yes—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11C2×D414yes—
582C2×#542—111no—
583C2×#538—111no—
584#2854—111no—
585#2850—111no—
586#2723—111no—
587#2716—111no—
588#2715—111no—
589#2712D1111yescharacteristic, complemented
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668—111no—
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11C22×D412yes—
634C23×C11C2511yescharacteristic
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—44no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11C22×D412yes—
663Q8×C11—82no—
664Q8×C11—82no—
665D4×C11—82no—
666D4×C11—82no—
667D4×C11—82no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—44no—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C22⋊D11—82no—
709C22⋊D11—82no—
710C22⋊D11—82no—
711C22⋊D11—82no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—44no—
748C2×Dic11—44no—
749C2×Dic11—44no—
750C2×Dic11C22×D412yes—
751C2×Dic11C22×D412yes—
752C2×Dic11C22×D412yes—
753C2×Dic11H(5,𝔽2)12yes—
754D44—44no—
755D44—82no—
756C4×D11—44no—
757C4×D11—82no—
758C4×D11—82no—
759Dic22—44no—
760Dic22—82no—
761#542—228no—
762#538—228no—
763C2×C4⋊Q8—111no—
764C2×#126—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#126—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124—111no—
772C2×#124C2×D1111yescharacteristic
773C2×#124C2×D1111yescharacteristic, complemented
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—111no—
788C2×#120—111no—
789C2×#120—111no—
790C2×#120—111no—
791C2×C4×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×#117—111no—
795C2×#117—111no—
796C22×C22⋊C4—111no—
797C22×C42—111no—
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#397C2×D1111yescharacteristic, complemented
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394C2×D1111yescharacteristic
833#394C2×D1111yescharacteristic
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393C2×D1111yescharacteristic
840#393C2×D1111yescharacteristic, complemented
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392C2×D1111yescharacteristic
846#391—111no—
847#391—111no—
848#391C2×D1111yescharacteristic, complemented
849#391C2×D1111yescharacteristic, complemented
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388C2×D1111yescharacteristic
881#388C2×D1111yescharacteristic, complemented
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386C2×D1111yescharacteristic
900#386C2×D1111yescharacteristic, complemented
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385C2×D1111yescharacteristic, complemented
906#382—111no—
907#381—111no—
908#381—111no—
909#380—111no—
910#380—111no—
911#379—111no—
912#379—111no—
913#379—111no—
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11C23×D411yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11#58511yescharacteristic
942C22×C11#58511yescharacteristic
943C22×C11#58511yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—22no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25—111no—
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8C22×D1111yescharacteristic
997C22×Q8C22×D1111yescharacteristic
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4C22×D1111yescharacteristic
1008C22×D4C22×D1111yescharacteristic
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—224no—
1018#126—224no—
1019#126—224no—
1020#126—224no—
1021#126—224no—
1022#124—24no—
1023#124—24no—
1024#124—224no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#123—224no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—224no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—442no—
1042#120—224no—
1043#120—224no—
1044#120—442no—
1045C4×Q8—224no—
1046C4×D4—118no—
1047C4×D4—224no—
1048#117—224no—
1049#117—442no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—224no—
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—442no—
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—81no—
1185C2×C11—81no—
1186C2×C11#344911yescharacteristic
1187C2×C11#349611yescharacteristic
1188C2×C11#350011yescharacteristic
1189C2×C11#353311yescharacteristic
1190C2×C11#354011yescharacteristic
1191C2×C11#356611yescharacteristic
1192C2×C11#356811yescharacteristic
1193D11—42no—
1194D11—81no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—111no—
1199C24—222no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—222no—
1216C2×Q8—222no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—114no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—114no—
1265C22×C4—114no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—114no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—114no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4D4×D1114yes—
1387C42—22no—
1388C42—22no—
1389C42—114no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—441no—
1395C42—441no—
1396C42—441no—
1397C42—441no—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—112no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23C2×D4×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—82no—
1450Q8—82no—
1451Q8—444no—
1452Q8—882no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—444no—
1457D4—444no—
1458D4—882no—
1459D4—882no—
1460D4—882no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—112no—
1501C2×C4—112no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4C2×D4×D1112yes—
1546C2×C4C2×D4×D1112yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22C22×D4×D1111yescharacteristic
1591C22#1062345311yescharacteristic
1592C22#1062345311yescharacteristic
1593C22D11×H(5,𝔽2)11yescharacteristic
1594C22#1062345511yescharacteristic
1595C22#1062345511yescharacteristic
1596C22#1062345711yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—222no—
1610C4—222no—
1611C4—222no—
1612C4—222no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—442no—
1626C2—881no—
1627C2—881no—
1628C2#1308194411yescharacteristic
1629C2#1308237611yescharacteristic
1630C2#1308240211yescharacteristic
1631C2#1308277911yescharacteristic
1632C2#1308288911yescharacteristic
1633C2#1308328511yescharacteristic
1634C2#1308330811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2712C2
hypercenter#2712D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2712

Complements

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

NH ≅ G/Ntype
1. C2×#10623200C2semidirect
2. C2×#10623209C2semidirect
3. #13076944C2semidirect
4. #13076913C2semidirect
5. #13075539C2semidirect
6. #13075442C2semidirect
7. #13075421C2semidirect
8. #13075221C2semidirect
9. #13075193C2semidirect
10. #13075172C2semidirect
11. #13075095C2semidirect
12. #13075049C2semidirect
13. #13075015C2semidirect
14. #13075010C2semidirect
15. #13074993C2semidirect
16. #13074912C2semidirect
17. #13074896C2semidirect
18. #13074844C2semidirect
19. #13074818C2semidirect
20. #13074765C2semidirect
21. #13074741C2semidirect
22. #13074304C2semidirect
23. #13074251C2semidirect
24. #13074234C2semidirect
25. #13074206C2semidirect
26. #13074103C2semidirect
27. #13073770C2semidirect
28. #13072048C2semidirect
29. #13071994C2semidirect
30. #13071052C2semidirect
31. C11×#2712C2semidirect
33. C2×C11×#124C22semidirect
37. C2×#66999C22semidirect
38. C2×#66997C22semidirect
44. C2×#66988C22semidirect
45. C22×C4×Dic11C22semidirect
61. C2×#66932C22semidirect
62. C2×#66931C22semidirect
63. C2×#66931C22semidirect
64. C2×#66930C22semidirect
68. C2×C4×Dic22C22semidirect
69. C11×#397C22semidirect
73. C11×#393C22semidirect
75. C11×#391C22semidirect
76. C11×#391C22semidirect
78. C11×#388C22semidirect
80. C11×#386C22semidirect
81. C11×#385C22semidirect
83. #10622843C22semidirect
84. #10622842C22semidirect
86. #10622836C22semidirect
93. #10622826C22semidirect
99. #10622600C22semidirect
100. #10622598C22semidirect
101. #10622596C22semidirect
102. #10622592C22semidirect
103. #10622591C22semidirect
104. C4⋊C4×Dic11C22semidirect
108. #10622574C22semidirect
115. #10622571C22semidirect
116. #10622571C22semidirect
120. #10622570C22semidirect
122. #10622569C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
132. #10622563C22semidirect
136. #10622561C22semidirect
138. #10622559C22semidirect
143. #10622555C22semidirect
144. C22⋊C4×Dic11C22semidirect
146. #10622546C22semidirect
147. #10622546C22semidirect
148. #10622541C22semidirect
153. #10622288C22semidirect
157. #10622286C22semidirect
163. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622282C22semidirect
172. #10622281C22semidirect
176. #10622273C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622263C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
332. (C22⋊D11)⋊C4D4semidirect
589. #2712D11semidirect
773. C2×#124C2×D11semidirect
813. #397C2×D11semidirect
840. #393C2×D11semidirect
848. #391C2×D11semidirect
849. #391C2×D11semidirect
881. #388C2×D11semidirect
900. #386C2×D11semidirect
905. #385C2×D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106232002
C2×#106232092
#130769442
#130769132
#130755392
#130754422
#130754212
#130752212
#130751932
#130751722
#130750952
#130750492
#130750152
#130750102
#130749932
#130749122
#130748962
#130748442
#130748182
#130747652
#130747412
#130743042
#130742512
#130742342
#130742062
#130741032
#130737702
#130720482
#130719942
#130710522
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