Finite Group Databasebeta

← #14961272

Subgroups — #14961272

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2#13076959C211yesmaximal, characteristic, complemented
3#13076945C211yesmaximal, characteristic, complemented
4#13075505C211yesmaximal, characteristic, complemented
5#13075406C211yesmaximal, characteristic, complemented
6#13075130C211yesmaximal, characteristic, complemented
7#13074962C211yesmaximal, characteristic, complemented
8#13074953C211yesmaximal, characteristic, complemented
9#13074935C211yesmaximal, characteristic, complemented
10#13074917C211yesmaximal, characteristic, complemented
11#13074906C211yesmaximal, characteristic, complemented
12#13074877C211yesmaximal, characteristic, complemented
13#13074876C211yesmaximal, characteristic, complemented
14#13074867C211yesmaximal, characteristic, complemented
15#13074852C211yesmaximal, characteristic, complemented
16#13074846C211yesmaximal, characteristic, complemented
17#13074829C211yesmaximal, characteristic, complemented
18#13074828C211yesmaximal, characteristic, complemented
19#13074819C211yesmaximal, characteristic, complemented
20#13074745C211yesmaximal, characteristic, complemented
21#13074744C211yesmaximal, characteristic, complemented
22#13074303C211yesmaximal, characteristic, complemented
23#13074237C211yesmaximal, characteristic, complemented
24#13074230C211yesmaximal, characteristic, complemented
25#13074213C211yesmaximal, characteristic, complemented
26#13073555C211yesmaximal, characteristic, complemented
27#13073548C211yesmaximal, characteristic, complemented
28#13072035C211yesmaximal, characteristic, complemented
29#13072002C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C2×C11×#540C211yesmaximal, characteristic, complemented
32C11×#540—28no—
33C2×C11×#127C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic, complemented
38C2×C11×#123C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic, complemented
43C2×C11×#121C2211yescharacteristic, complemented
44C2×C11×#121C2211yescharacteristic, complemented
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic, complemented
47C2×C11×#117C2211yescharacteristic, complemented
48C2×#66993C2211yescharacteristic
49C2×#66992C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66992C2211yescharacteristic, complemented
54C2×#66992C2211yescharacteristic, complemented
55C2×#66991C2211yescharacteristic, complemented
56C2×#66990C2211yescharacteristic
57C2×#66990C2211yescharacteristic
58C2×#66990C2211yescharacteristic
59C2×#66990C2211yescharacteristic
60C2×#66988C2211yescharacteristic
61C2×#66988C2211yescharacteristic
62C2×#66983C2211yescharacteristic
63C2×#66983C2211yescharacteristic
64C2×#66983C2211yescharacteristic
65C2×#66982C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic
67C22×(C2×D11)⋊C4C2211yescharacteristic
68C2×#66979C2211yescharacteristic
69C2×#66977C2211yescharacteristic, complemented
70C2×#66977C2211yescharacteristic, complemented
71C22×C4×Dic11C2211yescharacteristic, complemented
72#10623091—28no—
73C2×#66951C2211yescharacteristic
74C2×#66947C2211yescharacteristic
75C2×#66938C2211yescharacteristic
76C2×#66937C2211yescharacteristic
77C2×#66935C2211yescharacteristic
78C2×#66931C2211yescharacteristic
79C2×#66929C2211yescharacteristic
80C2×#66928C2211yescharacteristic
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic
95#10622835C2211yescharacteristic
96#10622835C2211yescharacteristic
97#10622835C2211yescharacteristic, complemented
98#10622835C2211yescharacteristic, complemented
99#10622835C2211yescharacteristic, complemented
100#10622835C2211yescharacteristic, complemented
101#10622834C2211yescharacteristic, complemented
102#10622834C2211yescharacteristic, complemented
103#10622833C2211yescharacteristic
104#10622833C2211yescharacteristic
105#10622833C2211yescharacteristic
106#10622833C2211yescharacteristic, complemented
107#10622826C2211yescharacteristic
108#10622826C2211yescharacteristic
109#10622826C2211yescharacteristic
110#10622826C2211yescharacteristic
111#10622826C2211yescharacteristic, complemented
112#10622823C2211yescharacteristic, complemented
113#10622823C2211yescharacteristic, complemented
114#10622823C2211yescharacteristic, complemented
115C4×C22⋊Dic11C2211yescharacteristic
116C4×C22⋊Dic11C2211yescharacteristic, complemented
117#10622607C2211yescharacteristic
118#10622607C2211yescharacteristic
119#10622607C2211yescharacteristic
120#10622606C2211yescharacteristic
121#10622606C2211yescharacteristic
122#10622605C2211yescharacteristic
123#10622605C2211yescharacteristic
124#10622605C2211yescharacteristic
125#10622605C2211yescharacteristic, complemented
126#10622604C2211yescharacteristic
127#10622604C2211yescharacteristic
128#10622603C2211yescharacteristic
129#10622603C2211yescharacteristic
130#10622603C2211yescharacteristic
131#10622603C2211yescharacteristic, complemented
132#10622602C2211yescharacteristic, complemented
133#10622601C2211yescharacteristic
134#10622600C2211yescharacteristic, complemented
135#10622597C2211yescharacteristic, complemented
136#10622596C2211yescharacteristic, complemented
137#10622594C2211yescharacteristic, complemented
138#10622594C2211yescharacteristic, complemented
139#10622593C2211yescharacteristic, complemented
140#10622593C2211yescharacteristic, complemented
141#10622592C2211yescharacteristic, complemented
142#10622591C2211yescharacteristic, complemented
143#10622589C2211yescharacteristic, complemented
144#10622586C2211yescharacteristic, complemented
145#10622585C2211yescharacteristic, complemented
146#10622585C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic
148#10622574C2211yescharacteristic
149#10622574C2211yescharacteristic
150#10622573C2211yescharacteristic
151#10622573C2211yescharacteristic
152#10622572C2211yescharacteristic
153#10622572C2211yescharacteristic
154#10622572C2211yescharacteristic, complemented
155#10622571C2211yescharacteristic
156#10622570C2211yescharacteristic
157#10622570C2211yescharacteristic
158#10622570C2211yescharacteristic
159#10622570C2211yescharacteristic
160#10622570C2211yescharacteristic
161#10622570C2211yescharacteristic
162#10622570C2211yescharacteristic
163#10622570C2211yescharacteristic, complemented
164#10622570C2211yescharacteristic, complemented
165#10622570C2211yescharacteristic, complemented
166#10622569C2211yescharacteristic, complemented
167#10622568C2211yescharacteristic
168#10622566C2211yescharacteristic, complemented
169#10622565C2211yescharacteristic
170#10622564C2211yescharacteristic
171#10622564C2211yescharacteristic
172#10622563C2211yescharacteristic, complemented
173#10622563C2211yescharacteristic, complemented
174#10622561C2211yescharacteristic, complemented
175#10622560C2211yescharacteristic, complemented
176#10622559C2211yescharacteristic
177#10622558C2211yescharacteristic, complemented
178#10622558C2211yescharacteristic, complemented
179#10622558C2211yescharacteristic, complemented
180#10622558C2211yescharacteristic, complemented
181#10622557C2211yescharacteristic, complemented
182#10622555C2211yescharacteristic, complemented
183#10622553C2211yescharacteristic
184#10622553C2211yescharacteristic
185#10622553C2211yescharacteristic, complemented
186C4×C4⋊Dic11C2211yescharacteristic, complemented
187#10622546C2211yescharacteristic, complemented
188#10622545C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#127—24no—
226C11×#125—24no—
227C11×#123—24no—
228C11×#123—24no—
229C11×#123—24no—
230C11×#123—24no—
231C11×#121—24no—
232C11×#121—24no—
233C11×#121—24no—
234C11×#121—24no—
235C11×#121—24no—
236C11×#121—24no—
237C4×D4×C11—24no—
238C4×D4×C11D418yescomplemented
239C11×#117—24no—
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259C2×C42×C11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283#66993—42no—
284#66992—24no—
285#66992—42no—
286#66992—42no—
287#66992—42no—
288#66992—42no—
289#66992—42no—
290#66991—42no—
291#66990—24no—
292#66990—42no—
293#66990—42no—
294#66990—42no—
295#66988—42no—
296#66988—42no—
297#66983—24no—
298#66983—42no—
299#66983—42no—
300#66982—24no—
301C4×C22⋊D11—24no—
302C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328#66979—42no—
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334#66977—42no—
335#66977—42no—
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×Dic11⋊C4C2311yescharacteristic
351C2×C4×Dic11—42no—
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355C2×C4×Dic11C2311yescharacteristic
356C2×C4×Dic11C2311yescharacteristic
357C2×C4×Dic11C2311yescharacteristic
358C2×C4×Dic11C2311yescharacteristic
359#66951—24no—
360#66947—24no—
361#66938—24no—
362#66937—24no—
363#66935—24no—
364#66931—24no—
365#66929—24no—
366#66928—24no—
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#36744—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11C2×D414yes—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11C2×D414yes—
451C22×C4×C11C2×D414yes—
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—22no—
504C22×Dic11—22no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11—41no—
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C2×D44—22no—
524C2×D44—22no—
525C2×D44—41no—
526C2×D44—41no—
527C2×D44—41no—
528C2×D44—41no—
529C2×C4×D11—22no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×Dic22—22no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—22no—
540C11×C4⋊C4—22no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4C2×D414yes—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4C2×D414yes—
552C11×C22⋊C4C2×D414yes—
553C42×C11—22no—
554C42×C11C2×D414yes—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
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—
603C4⋊Dic11—22no—
604C4⋊Dic11—22no—
605C4⋊Dic11—22no—
606C4⋊Dic11—22no—
607C4⋊Dic11—41no—
608Dic11⋊C4—22no—
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—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623C4×Dic11—22no—
624C4×Dic11—22no—
625C4×Dic11—22no—
626C4×Dic11—41no—
627C4×Dic11—41no—
628C4×Dic11—41no—
629C4×Dic11—41no—
630C2×#540D1111yescharacteristic, complemented
631C2×#538—111no—
632#2856—111no—
633#2854—111no—
634#2721—111no—
635#2714—111no—
636#2694—111no—
637#2681—111no—
638#2680—111no—
639#2678—111no—
640#2676—111no—
641#2675—111no—
642#2673—111no—
643#2673—111no—
644#2672—111no—
645#2671—111no—
646#2671—111no—
647#2669—111no—
648#2669—111no—
649#2668—111no—
650#2661—111no—
651#2661—111no—
652#2610—111no—
653#2603—111no—
654#2602—111no—
655#2601—111no—
656#2540—111no—
657#2539—111no—
658#2414—111no—
659#2411—111no—
660#2290—111no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×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×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11C22×D412yes—
695C23×C11C22×D412yes—
696C23×C11C2511yescharacteristic
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—21no—
718C22×D11—44no—
719C22×D11—82no—
720C22×D11—82no—
721C22×D11—82no—
722C22×D11—82no—
723C22×D11—82no—
724C22×D11—82no—
725D4×C11—44no—
726D4×C11—44no—
727D4×C11—82no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733D4×C11—82no—
734D4×C11—82no—
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—44no—
761C2×C4×C11—44no—
762C2×C4×C11—44no—
763C2×C4×C11—82no—
764C2×C4×C11—82no—
765C2×C4×C11C22×D412yes—
766C2×C4×C11C22×D412yes—
767C2×C4×C11C22×D412yes—
768C2×C4×C11C22×D412yes—
769C2×C4×C11C22×D412yes—
770C22⋊D11—44no—
771C22⋊D11—82no—
772C22⋊D11—82no—
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—
782C22⋊D11—82no—
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—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—44no—
820C2×Dic11—44no—
821C2×Dic11—82no—
822C2×Dic11H(5,𝔽2)12yes—
823C2×Dic11H(5,𝔽2)12yes—
824C2×Dic11H(5,𝔽2)12yes—
825D44—82no—
826D44—82no—
827C4×D11—82no—
828Dic22—82no—
829#540—28no—
830#538—228no—
831C2×#127—111no—
832C2×#127C2×D1111yescharacteristic
833C2×#126—111no—
834C2×#126—111no—
835C2×#125C2×D1111yescharacteristic, complemented
836C2×#124—111no—
837C2×#124—111no—
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123C2×D1111yescharacteristic
843C2×#123C2×D1111yescharacteristic
844C2×#123C2×D1111yescharacteristic, complemented
845C2×#123C2×D1111yescharacteristic, complemented
846C2×C22⋊Q8—111no—
847C2×C22⋊Q8—111no—
848C2×C22⋊Q8—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—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×#121C2×D1111yescharacteristic
861C2×#121C2×D1111yescharacteristic
862C2×#121C2×D1111yescharacteristic
863C2×#121C2×D1111yescharacteristic, complemented
864C2×#121C2×D1111yescharacteristic, complemented
865C2×#121C2×D1111yescharacteristic, complemented
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×C4×D4—111no—
872C2×C4×D4C2×D1111yescharacteristic
873C2×C4×D4C2×D1111yescharacteristic, complemented
874C2×#117—111no—
875C2×#117C2×D1111yescharacteristic, complemented
876C22×C22⋊C4—111no—
877C22×C42—111no—
878#399—111no—
879#399—111no—
880#399—111no—
881#399—111no—
882#398—111no—
883#398—111no—
884#398—111no—
885#398—111no—
886#397—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#395—111no—
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#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#393—111no—
911#392—111no—
912#392—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#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#389—111no—
940#389—111no—
941#389—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#387—111no—
957#387—111no—
958#387—111no—
959#387—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#384—111no—
979#380—111no—
980#380—111no—
981#379—111no—
982C4×C4⋊C4—111no—
983C4×C22⋊C4—111no—
984C4×C22⋊C4—111no—
985#376—111no—
986C22×C11—22no—
987C22×C11—22no—
988C22×C11—22no—
989C22×C11—22no—
990C22×C11—22no—
991C22×C11—22no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
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×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11C23×D411yescharacteristic
1022C22×C11C2×H(5,𝔽2)11yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11#58511yescharacteristic
1026C22×C11#58511yescharacteristic
1027C22×C11#58511yescharacteristic
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—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—88no—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—22no—
1053C4×C11—22no—
1054C4×C11—22no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060Dic11—22no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073C25—111no—
1074C22×Q8—111no—
1075C22×D4—111no—
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—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4C22×D1111yescharacteristic
1091C22×D4C22×D1111yescharacteristic
1092C22×D4C22×D1111yescharacteristic
1093C22×D4C22×D1111yescharacteristic
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096C22×D4C22×D1111yescharacteristic
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4C22×D1111yescharacteristic
1105C23×C4C22×D1111yescharacteristic
1106C23×C4C22×D1111yescharacteristic
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#127—24no—
1110#127—442no—
1111#126—224no—
1112#126—224no—
1113#125—24no—
1114#124—224no—
1115#124—224no—
1116#123—24no—
1117#123—24no—
1118#123—24no—
1119#123—24no—
1120#123—224no—
1121#123—224no—
1122#123—442no—
1123#123—442no—
1124C22⋊Q8—224no—
1125C22⋊Q8—442no—
1126C22⋊Q8—442no—
1127#121—24no—
1128#121—24no—
1129#121—24no—
1130#121—24no—
1131#121—24no—
1132#121—24no—
1133#121—224no—
1134#121—224no—
1135#121—224no—
1136#121—442no—
1137#121—442no—
1138#121—442no—
1139#121—442no—
1140#121—442no—
1141#121—442no—
1142#121—442no—
1143#121—442no—
1144#120—224no—
1145#120—224no—
1146#120—442no—
1147#120—442no—
1148#120—442no—
1149C4×D4—24no—
1150C4×D4—224no—
1151C4×D4C22⋊D1118yescomplemented
1152#117—24no—
1153#117—442no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1175C2×C4⋊C4C22×D1111yescharacteristic
1176C2×C4⋊C4C22×D1111yescharacteristic
1177C2×C4⋊C4C22×D1111yescharacteristic
1178C2×C4⋊C4C22×D1111yescharacteristic
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
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—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—224no—
1231C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—442no—
1249C2×C42C22×D1111yescharacteristic
1250C2×C42C22×D1111yescharacteristic
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#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275C2×C11—42no—
1276C2×C11—42no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11—81no—
1280C2×C11#344911yescharacteristic
1281C2×C11#349611yescharacteristic
1282C2×C11#349811yescharacteristic
1283C2×C11#353411yescharacteristic
1284C2×C11#354211yescharacteristic
1285C2×C11#355111yescharacteristic
1286C2×C11#356211yescharacteristic
1287D11—81no—
1288D11—81no—
1289D11—81no—
1290C24—111no—
1291C24—111no—
1292C24—111no—
1293C24—222no—
1294C24—441no—
1295C24—441no—
1296C24—441no—
1297C24—441no—
1298C24—441no—
1299C24—441no—
1300C24C23×D1111yescharacteristic
1301C24C23×D1111yescharacteristic
1302C24C23×D1111yescharacteristic
1303C24C23×D1111yescharacteristic
1304C24C23×D1111yescharacteristic
1305C2×Q8—222no—
1306C2×Q8—441no—
1307C2×Q8—441no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
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×D4C2×C22⋊D1114yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4C2×C22⋊D1114yes—
1422C22×C4C2×C22⋊D1114yes—
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—222no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—441no—
1452C4⋊C4—441no—
1453C4⋊C4—441no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4C2×C22⋊D1114yes—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—222no—
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—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
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—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4C2×C22⋊D1114yes—
1518C22⋊C4C2×C22⋊D1114yes—
1519C42—22no—
1520C42—222no—
1521C42—222no—
1522C42—222no—
1523C42—441no—
1524C42—441no—
1525C42—441no—
1526C42—441no—
1527C42C2×C22⋊D1114yes—
1528C11#3674411yescharacteristic, complemented, Sylow
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
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—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
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—444no—
1584C23—882no—
1585C23—882no—
1586C23—882no—
1587C23—882no—
1588C23—882no—
1589C23—882no—
1590C23C22×C22⋊D1112yes—
1591C23C22×C22⋊D1112yes—
1592C23C24×D1111yescharacteristic
1593Q8—882no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—444no—
1605D4—882no—
1606D4—882no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
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—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—112no—
1650C2×C4—112no—
1651C2×C4—112no—
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—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—444no—
1689C2×C4—444no—
1690C2×C4—882no—
1691C2×C4—882no—
1692C2×C4C22×C22⋊D1112yes—
1693C2×C4C22×C22⋊D1112yes—
1694C2×C4C22×C22⋊D1112yes—
1695C2×C4C22×C22⋊D1112yes—
1696C2×C4C22×C22⋊D1112yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—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—41no—
1731C22—41no—
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—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—888no—
1754C22#1062345311yescharacteristic
1755C22#1062345311yescharacteristic
1756C22D11×H(5,𝔽2)11yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22#1062345511yescharacteristic
1760C22C23×C22⋊D1111yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—222no—
1772C4—222no—
1773C4—222no—
1774C4—441no—
1775C4—441no—
1776C4—441no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—881no—
1790C2—881no—
1791C2—881no—
1792C2#1308194511yescharacteristic
1793C2#1308237511yescharacteristic
1794C2#1308239011yescharacteristic
1795C2#1308279911yescharacteristic
1796C2#1308292311yescharacteristic
1797C2#1308303711yescharacteristic
1798C2#1308319511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#540C2
hypercenterC2×#540D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. #13076959C2semidirect
3. #13076945C2semidirect
4. #13075505C2semidirect
5. #13075406C2semidirect
6. #13075130C2semidirect
7. #13074962C2semidirect
8. #13074953C2semidirect
9. #13074935C2semidirect
10. #13074917C2semidirect
11. #13074906C2semidirect
12. #13074877C2semidirect
13. #13074876C2semidirect
14. #13074867C2semidirect
15. #13074852C2semidirect
16. #13074846C2semidirect
17. #13074829C2semidirect
18. #13074828C2semidirect
19. #13074819C2semidirect
20. #13074745C2semidirect
21. #13074744C2semidirect
22. #13074303C2semidirect
23. #13074237C2semidirect
24. #13074230C2semidirect
25. #13074213C2semidirect
26. #13073555C2semidirect
27. #13073548C2semidirect
28. #13072035C2semidirect
29. #13072002C2semidirect
30. #13071061C2semidirect
31. C2×C11×#540C2semidirect
34. C2×C11×#125C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×#123C22semidirect
42. C2×C11×#121C22semidirect
43. C2×C11×#121C22semidirect
44. C2×C11×#121C22semidirect
46. C2×C4×D4×C11C22semidirect
47. C2×C11×#117C22semidirect
53. C2×#66992C22semidirect
54. C2×#66992C22semidirect
55. C2×#66991C22semidirect
69. C2×#66977C22semidirect
70. C2×#66977C22semidirect
71. C22×C4×Dic11C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
97. #10622835C22semidirect
98. #10622835C22semidirect
99. #10622835C22semidirect
100. #10622835C22semidirect
101. #10622834C22semidirect
102. #10622834C22semidirect
106. #10622833C22semidirect
111. #10622826C22semidirect
112. #10622823C22semidirect
113. #10622823C22semidirect
114. #10622823C22semidirect
116. C4×C22⋊Dic11C22semidirect
125. #10622605C22semidirect
131. #10622603C22semidirect
132. #10622602C22semidirect
134. #10622600C22semidirect
135. #10622597C22semidirect
136. #10622596C22semidirect
137. #10622594C22semidirect
138. #10622594C22semidirect
139. #10622593C22semidirect
140. #10622593C22semidirect
141. #10622592C22semidirect
142. #10622591C22semidirect
143. #10622589C22semidirect
144. #10622586C22semidirect
145. #10622585C22semidirect
146. #10622585C22semidirect
154. #10622572C22semidirect
163. #10622570C22semidirect
164. #10622570C22semidirect
165. #10622570C22semidirect
166. #10622569C22semidirect
168. #10622566C22semidirect
172. #10622563C22semidirect
173. #10622563C22semidirect
174. #10622561C22semidirect
175. #10622560C22semidirect
177. #10622558C22semidirect
178. #10622558C22semidirect
179. #10622558C22semidirect
180. #10622558C22semidirect
181. #10622557C22semidirect
182. #10622555C22semidirect
185. #10622553C22semidirect
186. C4×C4⋊Dic11C22semidirect
187. #10622546C22semidirect
188. #10622545C22semidirect
238. C4×D4×C11D4semidirect
630. C2×#540D11semidirect
835. C2×#125C2×D11semidirect
844. C2×#123C2×D11semidirect
845. C2×#123C2×D11semidirect
863. C2×#121C2×D11semidirect
864. C2×#121C2×D11semidirect
865. C2×#121C2×D11semidirect
873. C2×C4×D4C2×D11semidirect
875. C2×#117C2×D11semidirect
1151. C4×D4C22⋊D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
#130769592
#130769452
#130755052
#130754062
#130751302
#130749622
#130749532
#130749352
#130749172
#130749062
#130748772
#130748762
#130748672
#130748522
#130748462
#130748292
#130748282
#130748192
#130747452
#130747442
#130743032
#130742372
#130742302
#130742132
#130735552
#130735482
#130720352
#130720022
#130710612
C2×C11×#5402
#3674411