Finite Group Databasebeta

← #14960669

Subgroups — #14960669

Order 2816.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623066C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075137C211yesmaximal, characteristic, complemented
6#13075126C211yesmaximal, characteristic, complemented
7#13075083C211yesmaximal, characteristic, complemented
8#13075053C211yesmaximal, characteristic, complemented
9#13075042C211yesmaximal, characteristic, complemented
10#13074948C211yesmaximal, characteristic, complemented
11#13074918C211yesmaximal, characteristic, complemented
12#13074908C211yesmaximal, characteristic, complemented
13#13074883C211yesmaximal, characteristic, complemented
14#13074879C211yesmaximal, characteristic, complemented
15#13074872C211yesmaximal, characteristic, complemented
16#13074857C211yesmaximal, characteristic, complemented
17#13074851C211yesmaximal, characteristic, complemented
18#13074835C211yesmaximal, characteristic, complemented
19#13074831C211yesmaximal, characteristic, complemented
20#13074822C211yesmaximal, characteristic, complemented
21#13074504C211yesmaximal, characteristic, complemented
22#13074461C211yesmaximal, characteristic, complemented
23#13074288C211yesmaximal, characteristic, complemented
24#13074232C211yesmaximal, characteristic, complemented
25#13074184C211yesmaximal, characteristic, complemented
26#13073575C211yesmaximal, characteristic, complemented
27#13073513C211yesmaximal, characteristic, complemented
28#13072233C211yesmaximal, characteristic, complemented
29#13072225C211yesmaximal, characteristic, complemented
30#13071247C211yesmaximal, characteristic, complemented
31C11×#2598C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66993C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×#66983C2211yescharacteristic, complemented
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48#10623078—28no—
49#10623066—28no—
50C2×#66949C2211yescharacteristic
51C2×#66948C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic, complemented
57C2×#66947C2211yescharacteristic, complemented
58C2×#66938C2211yescharacteristic, complemented
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×#66935C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×#66931C2211yescharacteristic
72C2×#66927C2211yescharacteristic
73C2×C4×D44C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic, complemented
75C2×#66925C2211yescharacteristic
76C2×#66923C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#399C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic
80C11×#392C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#386C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C11×#385C2211yescharacteristic
88C11×#385C2211yescharacteristic, complemented
89C11×#383C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic
96#10622826C2211yescharacteristic
97#10622826C2211yescharacteristic, complemented
98#10622826C2211yescharacteristic, complemented
99#10622823C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622600C2211yescharacteristic, complemented
106#10622600C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622593C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622586C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic, complemented
128#10622571C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622568C2211yescharacteristic
136#10622566C2211yescharacteristic
137#10622566C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic
139#10622562C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622559C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622549C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic
150#10622289C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic
153#10622286C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic, complemented
156#10622284C2211yescharacteristic
157#10622284C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622279C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic
182D11×#95C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×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
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C2×#4339—24no—
211C2×#4339—42no—
212C2×#4339—42no—
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×C4×D11—24no—
223C22×C4×D11—42no—
224C22×C4×D11—42no—
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×Dic22C2311yescharacteristic
235C4×D4×C11—24no—
236C11×#117—24no—
237C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
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#66993—42no—
266#66992—24no—
267#66992—42no—
268#66991—42no—
269#66991—42no—
270#66991—42no—
271#66990—24no—
272#66990—42no—
273#66983—24no—
274#66983—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66949—24no—
333#66948—42no—
334#66947—24no—
335#66947—24no—
336#66947—24no—
337#66947—24no—
338#66947—24no—
339#66947—42no—
340#66938—42no—
341#66937—24no—
342#66937—24no—
343#66937—24no—
344#66937—24no—
345#66937—24no—
346#66937—42no—
347#66937—42no—
348#66937—42no—
349#66936—24no—
350#66935—24no—
351#66935—42no—
352#66935—42no—
353#66931—24no—
354#66927—24no—
355C4×D44—24no—
356C4×D44D418yescomplemented
357#66925—24no—
358#66923—24no—
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#36713—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—41no—
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490#4339—416no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—41no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44C2×D414yes—
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—41no—
542C2×C4×D11—41no—
543C2×C4×D11—416no—
544C2×C4×D11C2×D414yes—
545C2×C4×D11C2×D414yes—
546C2×Dic22—22no—
547C2×Dic22—22no—
548C2×Dic22—41no—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—41no—
553C11×C4⋊C4—41no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4—41no—
565C11×C22⋊C4—41no—
566C42×C11—22no—
567C42×C11C2×D414yes—
568C22⋊Dic11—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
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—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—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4C2×D414yes—
609(C2×D11)⋊C4C2×D414yes—
610C4⋊Dic11—22no—
611C4⋊Dic11—41no—
612C4⋊Dic11—41no—
613C4⋊Dic11—41no—
614C4⋊Dic11—41no—
615C4⋊Dic11C2×D414yes—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11—41no—
632C2×#540—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2694—111no—
637#2693—111no—
638#2690—111no—
639#2688—111no—
640#2687—111no—
641#2678—111no—
642#2676—111no—
643#2675—111no—
644#2673—111no—
645#2673—111no—
646#2672—111no—
647#2671—111no—
648#2671—111no—
649#2669—111no—
650#2669—111no—
651#2668—111no—
652#2635—111no—
653#2630—111no—
654#2609—111no—
655#2602—111no—
656#2598—111no—
657#2598D1111yescharacteristic, complemented
658#2543—111no—
659#2535—111no—
660#2431—111no—
661#2430—111no—
662#2318—111no—
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×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11H(5,𝔽2)12yes—
684C23×C11C2511yescharacteristic
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—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11C22×D412yes—
725C22×D11C22×D412yes—
726C22×D11H(5,𝔽2)12yes—
727D4×C11—44no—
728D4×C11—82no—
729D4×C11—82no—
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×C11C22×D412yes—
767C2×C4×C11C22×D412yes—
768C2×C4×C11C22×D412yes—
769C22⋊D11—44no—
770C22⋊D11—44no—
771C22⋊D11—44no—
772C22⋊D11—44no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C22⋊D11—82no—
781C22⋊D11—82no—
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—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—44no—
813C2×Dic11C22×D412yes—
814C2×Dic11C22×D412yes—
815C2×Dic11H(5,𝔽2)12yes—
816D44—44no—
817D44—44no—
818D44—44no—
819D44—82no—
820D44—82no—
821D44—82no—
822D44—82no—
823D44—82no—
824D44—82no—
825C4×D11—28no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—82no—
831C4×D11—82no—
832C4×D11—82no—
833C4×D11—82no—
834Dic22—44no—
835C22×#41—111no—
836C24×C4—111no—
837#540—228no—
838C2×#127—111no—
839C2×#127—111no—
840C2×#125—111no—
841C2×#124—111no—
842#525—228no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#121—111no—
866C2×#121—111no—
867C2×#121—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×C4×D4—111no—
874C2×C4×D4—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4C2×D1111yescharacteristic
878C2×#117—111no—
879C2×#117C2×D1111yescharacteristic, complemented
880#400—111no—
881#400—111no—
882#400C2×D1111yescharacteristic, complemented
883#399—111no—
884#399—111no—
885#399C2×D1111yescharacteristic, complemented
886#398—111no—
887#398—111no—
888#398—111no—
889#397—111no—
890#397—111no—
891#397—111no—
892#397—111no—
893#397—111no—
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#395—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394C2×D1111yescharacteristic
912#393—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392C2×D1111yescharacteristic
928#391—111no—
929#390—111no—
930#390—111no—
931#389—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#388—111no—
938#388—111no—
939#388—111no—
940#388C2×D1111yescharacteristic
941#388C2×D1111yescharacteristic, complemented
942#387—111no—
943#387—111no—
944#387—111no—
945#387—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#386—111no—
950#386—111no—
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386C2×D1111yescharacteristic
967#386C2×D1111yescharacteristic
968#386C2×D1111yescharacteristic, complemented
969#386C2×D1111yescharacteristic, complemented
970#385—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385C2×D1111yescharacteristic
979#385C2×D1111yescharacteristic, complemented
980#383C2×D1111yescharacteristic, complemented
981#382—111no—
982#381—111no—
983#381—111no—
984#380—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#379—111no—
990C4×C22⋊C4—111no—
991C2×#95—111no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—41no—
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×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11C23×D411yescharacteristic
1014C22×C11C2×H(5,𝔽2)11yescharacteristic
1015C22×C11C2×H(5,𝔽2)11yescharacteristic
1016C22×C11C2×H(5,𝔽2)11yescharacteristic
1017C22×C11#58511yescharacteristic
1018C22×C11#58511yescharacteristic
1019C22×C11#58511yescharacteristic
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—416no—
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—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C4×C11—22no—
1057C4×C11—22no—
1058C4×C11—22no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068Dic11—22no—
1069Dic11—22no—
1070Dic11—22no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079C25—111no—
1080C2×#41—224no—
1081C2×#41—442no—
1082C2×#41—442no—
1083C22×Q8—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—224no—
1120C23×C4—442no—
1121C23×C4—442no—
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124C23×C4C22×D1111yescharacteristic
1125#127—224no—
1126#127—442no—
1127#125—224no—
1128#124—442no—
1129#123—224no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—224no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138#121—224no—
1139#121—224no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—224no—
1146#121—442no—
1147#121—442no—
1148#121—442no—
1149#121—442no—
1150#121—442no—
1151#121—442no—
1152#121—442no—
1153#121—442no—
1154#120—224no—
1155#120—224no—
1156#120—442no—
1157#120—442no—
1158#120—442no—
1159C4×D4—24no—
1160C4×D4—118no—
1161C4×D4—224no—
1162C4×D4—224no—
1163C4×D4—224no—
1164#117—24no—
1165#117—224no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42C22×D1111yescharacteristic
1248C2×C42C22×D1111yescharacteristic
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#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275#95C22×D1111yescharacteristic
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281C2×C11—42no—
1282C2×C11—81no—
1283C2×C11—81no—
1284C2×C11#344911yescharacteristic
1285C2×C11#348411yescharacteristic
1286C2×C11#348811yescharacteristic
1287C2×C11#353311yescharacteristic
1288C2×C11#353411yescharacteristic
1289C2×C11#353911yescharacteristic
1290C2×C11#354211yescharacteristic
1291D11—42no—
1292D11—42no—
1293D11—42no—
1294D11—81no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—111no—
1300C24—111no—
1301C24—222no—
1302C24—222no—
1303C24—222no—
1304C24—441no—
1305C24—441no—
1306C24—441no—
1307C24—441no—
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310C24C23×D1111yescharacteristic
1311#41—4416no—
1312C2×Q8—222no—
1313C2×Q8—222no—
1314C2×Q8—441no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—114no—
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—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—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—114no—
1403C22×C4—114no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—222no—
1415C22×C4—222no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4—4416no—
1440C22×C4—441no—
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C22×C4C23×D1111yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—114no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—222no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4—441no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—114no—
1490C22⋊C4—114no—
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—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C42—22no—
1532C42—222no—
1533C42—441no—
1534C42—441no—
1535C42D4×D1114yes—
1536C11#3671311yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—112no—
1558C23—112no—
1559C23—112no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—444no—
1593C23—444no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23#6704212yes—
1600C23C24×D1111yescharacteristic
1601Q8—444no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
1605D4—444no—
1606D4—444no—
1607D4—444no—
1608D4—444no—
1609D4—444no—
1610D4—444no—
1611D4—444no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
1619D4—882no—
1620D4—882no—
1621D4—882no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
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—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—112no—
1664C2×C4—112no—
1665C2×C4—112no—
1666C2×C4—228no—
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—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4—444no—
1701C2×C4—444no—
1702C2×C4—882no—
1703C2×C4—882no—
1704C2×C4—882no—
1705C2×C4—882no—
1706C2×C4C2×D4×D1112yes—
1707C2×C4C2×D4×D1112yes—
1708C2×C4C2×D4×D1112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—222no—
1731C22—222no—
1732C22—222no—
1733C22—222no—
1734C22—222no—
1735C22—222no—
1736C22—222no—
1737C22—222no—
1738C22—222no—
1739C22—4416no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22C22×D4×D1111yescharacteristic
1767C22C2×#6704211yescharacteristic
1768C22#1062345311yescharacteristic
1769C22#1062345311yescharacteristic
1770C22#1062345311yescharacteristic
1771C22D11×H(5,𝔽2)11yescharacteristic
1772C22D11×H(5,𝔽2)11yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—222no—
1786C4—222no—
1787C4—222no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—442no—
1800C2—442no—
1801C2—442no—
1802C2—881no—
1803C2—881no—
1804C2#1308194611yescharacteristic
1805C2#1308225011yescharacteristic
1806C2#1308227711yescharacteristic
1807C2#1308278111yescharacteristic
1808C2#1308279311yescharacteristic
1809C2#1308286611yescharacteristic
1810C2#1308292511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2598C2
hypercenter#2598D11
hypocenterC11#36713
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2598

Complements

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

NH ≅ G/Ntype
1. C2×#10623066C2semidirect
2. C2×#10623078C2semidirect
3. #13076911C2semidirect
4. #13076897C2semidirect
5. #13075137C2semidirect
6. #13075126C2semidirect
7. #13075083C2semidirect
8. #13075053C2semidirect
9. #13075042C2semidirect
10. #13074948C2semidirect
11. #13074918C2semidirect
12. #13074908C2semidirect
13. #13074883C2semidirect
14. #13074879C2semidirect
15. #13074872C2semidirect
16. #13074857C2semidirect
17. #13074851C2semidirect
18. #13074835C2semidirect
19. #13074831C2semidirect
20. #13074822C2semidirect
21. #13074504C2semidirect
22. #13074461C2semidirect
23. #13074288C2semidirect
24. #13074232C2semidirect
25. #13074184C2semidirect
26. #13073575C2semidirect
27. #13073513C2semidirect
28. #13072233C2semidirect
29. #13072225C2semidirect
30. #13071247C2semidirect
31. C11×#2598C2semidirect
35. C2×C11×#117C22semidirect
45. C2×#66983C22semidirect
56. C2×#66947C22semidirect
57. C2×#66947C22semidirect
58. C2×#66938C22semidirect
64. C2×#66937C22semidirect
65. C2×#66937C22semidirect
66. C2×#66937C22semidirect
74. C2×C4×D44C22semidirect
76. C2×#66923C22semidirect
77. C11×#400C22semidirect
78. C11×#399C22semidirect
82. C11×#388C22semidirect
85. C11×#386C22semidirect
86. C11×#386C22semidirect
88. C11×#385C22semidirect
89. C11×#383C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
97. #10622826C22semidirect
98. #10622826C22semidirect
99. #10622823C22semidirect
102. #10622604C22semidirect
105. #10622600C22semidirect
106. #10622600C22semidirect
107. #10622597C22semidirect
108. #10622593C22semidirect
109. #10622592C22semidirect
110. #10622591C22semidirect
111. #10622586C22semidirect
121. #10622573C22semidirect
122. #10622573C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622572C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
137. #10622566C22semidirect
139. #10622562C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
144. #10622557C22semidirect
147. #10622549C22semidirect
148. #10622546C22semidirect
150. #10622289C22semidirect
151. #10622288C22semidirect
153. #10622286C22semidirect
155. #10622285C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622282C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
169. #10622279C22semidirect
179. #10622278C22semidirect
182. D11×#95C22semidirect
183. #10622272C22semidirect
184. #10622271C22semidirect
185. #10622270C22semidirect
186. #10622267C22semidirect
187. #10622267C22semidirect
188. #10622259C22semidirect
356. C4×D44D4semidirect
657. #2598D11semidirect
879. C2×#117C2×D11semidirect
882. #400C2×D11semidirect
885. #399C2×D11semidirect
941. #388C2×D11semidirect
968. #386C2×D11semidirect
969. #386C2×D11semidirect
979. #385C2×D11semidirect
980. #383C2×D11semidirect
1536. C11#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#106230662
C2×#106230782
#130769112
#130768972
#130751372
#130751262
#130750832
#130750532
#130750422
#130749482
#130749182
#130749082
#130748832
#130748792
#130748722
#130748572
#130748512
#130748352
#130748312
#130748222
#130745042
#130744612
#130742882
#130742322
#130741842
#130735752
#130735132
#130722332
#130722252
#130712472
C11×#25982
#3671311