Finite Group Databasebeta

← #14962711

Subgroups — #14962711

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076933C211yesmaximal, characteristic, complemented
2#13076919C211yesmaximal, characteristic, complemented
3#13076593C211yesmaximal, characteristic, complemented
4#13076553C211yesmaximal, characteristic, complemented
5#13076543C211yesmaximal, characteristic, complemented
6#13076338C211yesmaximal, characteristic, complemented
7#13076285C211yesmaximal, characteristic, complemented
8#13076255C211yesmaximal, characteristic, complemented
9#13076240C211yesmaximal, characteristic, complemented
10#13076186C211yesmaximal, characteristic, complemented
11#13075977C211yesmaximal, characteristic, complemented
12#13075944C211yesmaximal, characteristic, complemented
13#13075944C211yesmaximal, characteristic, complemented
14#13075872C211yesmaximal, characteristic, complemented
15#13075642C211yesmaximal, characteristic, complemented
16#13075429C211yesmaximal, characteristic, complemented
17#13075410C211yesmaximal, characteristic, complemented
18#13075029C211yesmaximal, characteristic, complemented
19#13074394C211yesmaximal, characteristic, complemented
20#13074353C211yesmaximal, characteristic, complemented
21#13073172C211yesmaximal, characteristic, complemented
22#13072749C211yesmaximal, characteristic, complemented
23#13072370C211yesmaximal, characteristic, complemented
24#13072226C211yesmaximal, characteristic, complemented
25#13072150C211yesmaximal, characteristic, complemented
26#13071995C211yesmaximal, characteristic, complemented
27#13071937C211yesmaximal, characteristic, complemented
28#13071282C211yesmaximal, characteristic, complemented
29#13071204C211yesmaximal, characteristic, complemented
30C2×#10622283C211yesmaximal, characteristic, complemented
31C11×#2438C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#67000C2211yescharacteristic, complemented
37C2×#66983C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×C4⋊Dic11C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C2×#66951C2211yescharacteristic, complemented
46C2×#66948C2211yescharacteristic
47C2×#66935C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×#66935C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#395C2211yescharacteristic, complemented
55C11×#391C2211yescharacteristic, complemented
56C11×#389C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#381C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C2×C11×#95C2211yescharacteristic
64#10622844C2211yescharacteristic
65#10622843C2211yescharacteristic, complemented
66#10622826C2211yescharacteristic
67#10622826C2211yescharacteristic
68C2×C11⋊#95C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622606C2211yescharacteristic
74#10622606C2211yescharacteristic
75#10622606C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622604C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622604C2211yescharacteristic
85#10622604C2211yescharacteristic
86#10622604C2211yescharacteristic
87#10622604C2211yescharacteristic
88#10622604C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622601C2211yescharacteristic
99#10622601C2211yescharacteristic
100#10622601C2211yescharacteristic, complemented
101#10622600C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622600C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622590C2211yescharacteristic, complemented
111#10622571C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622559C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622552C2211yescharacteristic
126#10622552C2211yescharacteristic
127#10622552C2211yescharacteristic, complemented
128#10622552C2211yescharacteristic, complemented
129#10622542C2211yescharacteristic, complemented
130#10622542C2211yescharacteristic, complemented
131#10622288C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic, complemented
134#10622287C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622287C2211yescharacteristic, complemented
137#10622286C2211yescharacteristic
138#10622286C2211yescharacteristic
139#10622286C2211yescharacteristic, complemented
140#10622285C2211yescharacteristic
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622285C2211yescharacteristic, complemented
144#10622284C2211yescharacteristic
145#10622284C2211yescharacteristic
146#10622284C2211yescharacteristic
147#10622284C2211yescharacteristic
148#10622284C2211yescharacteristic
149#10622284C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic, complemented
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177C11⋊#401C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C2×#4339—24no—
199C2×#4339—42no—
200C2×#4339—42no—
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C22⋊Q8—42no—
215C11×#117—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234#67000—42no—
235#67000—42no—
236#66983—42no—
237#66983—42no—
238#66982—24no—
239C2×(C2×D11)⋊C4—24no—
240C2×(C2×D11)⋊C4—42no—
241C2×(C2×D11)⋊C4—42no—
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×C4⋊Dic11—42no—
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×C4×Dic11—42no—
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951—42no—
314#66948—42no—
315#66935—42no—
316#66935—42no—
317#66935—42no—
318(C22⋊D11)⋊C4—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
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
363#36795—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×Q8×C11—22no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11#4114yes—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432#4339—416no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—41no—
436C2×D44—41no—
437C2×D44—41no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44—41no—
444C2×D44—41no—
445C2×D44—41no—
446C2×D44—41no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×Dic22—22no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C42×C11—41no—
488C42×C11—41no—
489C22⋊Dic11—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
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—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2808—111no—
562#2803—111no—
563#2803—111no—
564#2786—111no—
565#2781—111no—
566#2779—111no—
567#2778—111no—
568#2775—111no—
569#2759—111no—
570#2756—111no—
571#2756—111no—
572#2751—111no—
573#2733—111no—
574#2715—111no—
575#2714—111no—
576#2686—111no—
577#2622—111no—
578#2617—111no—
579#2510—111no—
580#2472—111no—
581#2444—111no—
582#2438D1111yescharacteristic, complemented
583#2430—111no—
584#2424—111no—
585#2411—111no—
586#2404—111no—
587#2322—111no—
588#2311—111no—
589C2×#388—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11C2×#4112yes—
595C23×C11H(5,𝔽2)12yes—
596C23×C11H(5,𝔽2)12yes—
597C23×C11C2511yescharacteristic
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11—82no—
639C22×D11—82no—
640Q8×C11—82no—
641C2×C4×C11—28no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
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—44no—
682C2×C4×C11—82no—
683C2×C4×C11C2×#4112yes—
684C2×C4×C11C2×#4112yes—
685C2×C4×C11H(5,𝔽2)12yes—
686C22⋊D11—44no—
687C22⋊D11—44no—
688C22⋊D11—44no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
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—44no—
723C2×Dic11—44no—
724C2×Dic11—82no—
725D44—44no—
726D44—82no—
727D44—82no—
728D44—82no—
729D44—82no—
730D44—82no—
731D44—82no—
732D44—82no—
733D44—82no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—82no—
737Dic22—44no—
738C22×#41—111no—
739C2×#126—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×C22⋊Q8C2×D1111yescharacteristic
744C2×#121—111no—
745C2×#121—111no—
746C2×#121—111no—
747C2×#120—111no—
748C2×#120—111no—
749C2×#120—111no—
750C2×C4×D4—111no—
751C2×#117C2×D1111yescharacteristic
752C22×C4⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4—111no—
755C22×C22⋊C4—111no—
756C22×C42—111no—
757#401—111no—
758#400—111no—
759#400—111no—
760#400C2×D1111yescharacteristic, complemented
761#398C2×D1111yescharacteristic, complemented
762#398C2×D1111yescharacteristic, complemented
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#396—111no—
775#396—111no—
776#396—111no—
777#395—111no—
778#395C2×D1111yescharacteristic, complemented
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#393—111no—
796#393—111no—
797#393—111no—
798#393—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#392—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391C2×D1111yescharacteristic, complemented
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#389—111no—
817#389—111no—
818#389C2×D1111yescharacteristic, complemented
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387C2×D1111yescharacteristic, complemented
852#387C2×D1111yescharacteristic, complemented
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385C2×D1111yescharacteristic
878#385C2×D1111yescharacteristic
879#383—111no—
880#383—111no—
881#382—111no—
882#381—111no—
883#381C2×D1111yescharacteristic
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380C2×D1111yescharacteristic
889#379—111no—
890C4×C22⋊C4—111no—
891C2×#95—111no—
892C2×#95C2×D1111yescharacteristic
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11#53814yes—
900C22×C11C22×#4111yescharacteristic
901C22×C11C2×H(5,𝔽2)11yescharacteristic
902C22×C11C2×H(5,𝔽2)11yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11#58511yescharacteristic
905C22×C11#58511yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—88no—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—22no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968C25—111no—
969C2×#41—224no—
970C2×#41—442no—
971C2×#41—442no—
972C22×Q8—111no—
973C22×Q8C22×D1111yescharacteristic
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4C22×D1111yescharacteristic
993C23×C4C22×D1111yescharacteristic
994C23×C4C22×D1111yescharacteristic
995#126—442no—
996#124—442no—
997#124—442no—
998#123—224no—
999C22⋊Q8—42no—
1000#121—442no—
1001#121—442no—
1002#121—442no—
1003#120—442no—
1004#120—442no—
1005#120—442no—
1006C4×D4—442no—
1007#117—42no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—442no—
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—224no—
1084C2×C22⋊C4—442no—
1085C2×C22⋊C4—442no—
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—24no—
1145C2×C11C2×#53811yescharacteristic
1146C2×C11#349311yescharacteristic
1147C2×C11#350611yescharacteristic
1148C2×C11#353411yescharacteristic
1149C2×C11#354211yescharacteristic
1150C2×C11#354511yescharacteristic
1151C2×C11#356011yescharacteristic
1152D11—81no—
1153D11—81no—
1154D11—81no—
1155D11—81no—
1156D11—81no—
1157C24—111no—
1158C24—111no—
1159C24—111no—
1160C24—111no—
1161C24—111no—
1162C24—222no—
1163C24—222no—
1164C24—222no—
1165C24—441no—
1166C24—441no—
1167C24—441no—
1168C24—441no—
1169C24C23×D1111yescharacteristic
1170#41—4416no—
1171C2×Q8—22no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—222no—
1175C2×Q8—441no—
1176C2×Q8—441no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4#434314yes—
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C42—41no—
1344C42—41no—
1345C42—222no—
1346C42—222no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C42—441no—
1351C42—441no—
1352C11#3679511yescharacteristic, complemented, Sylow
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—444no—
1393C23—444no—
1394C23—444no—
1395C23—882no—
1396C23—882no—
1397C23—882no—
1398C23—882no—
1399C23#6703712yes—
1400C23C2×#434312yes—
1401C23#6704212yes—
1402C23C24×D1111yescharacteristic
1403Q8—82no—
1404Q8—444no—
1405D4—444no—
1406D4—444no—
1407D4—444no—
1408D4—444no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413D4—882no—
1414D4—882no—
1415D4—882no—
1416D4—882no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—82no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—444no—
1496C2×C4—882no—
1497C2×C4—882no—
1498C2×C4C2×#434312yes—
1499C2×C4C2×#434312yes—
1500C2×C4#6704212yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—888no—
1543C22#1062317514yes—
1544C22C2×#6703711yescharacteristic
1545C22C22×#434311yescharacteristic
1546C22C2×#6704211yescharacteristic
1547C22C2×#6704211yescharacteristic
1548C22#1062345311yescharacteristic
1549C22#1062345511yescharacteristic
1550C22#1062345711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C2—24no—
1577C2—881no—
1578C2—881no—
1579C2—881no—
1580C2—881no—
1581C2—881no—
1582C2C2×#1062317511yescharacteristic
1583C2#1308233711yescharacteristic
1584C2#1308247011yescharacteristic
1585C2#1308280211yescharacteristic
1586C2#1308292611yescharacteristic
1587C2#1308297211yescharacteristic
1588C2#1308316411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2438C2
hypercenter#2438D11
hypocenterC11#36795
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. #13076933C2semidirect
2. #13076919C2semidirect
3. #13076593C2semidirect
4. #13076553C2semidirect
5. #13076543C2semidirect
6. #13076338C2semidirect
7. #13076285C2semidirect
8. #13076255C2semidirect
9. #13076240C2semidirect
10. #13076186C2semidirect
11. #13075977C2semidirect
12. #13075944C2semidirect
13. #13075944C2semidirect
14. #13075872C2semidirect
15. #13075642C2semidirect
16. #13075429C2semidirect
17. #13075410C2semidirect
18. #13075029C2semidirect
19. #13074394C2semidirect
20. #13074353C2semidirect
21. #13073172C2semidirect
22. #13072749C2semidirect
23. #13072370C2semidirect
24. #13072226C2semidirect
25. #13072150C2semidirect
26. #13071995C2semidirect
27. #13071937C2semidirect
28. #13071282C2semidirect
29. #13071204C2semidirect
30. C2×#10622283C2semidirect
31. C11×#2438C2semidirect
36. C2×#67000C22semidirect
45. C2×#66951C22semidirect
51. C11×#400C22semidirect
52. C11×#398C22semidirect
53. C11×#398C22semidirect
54. C11×#395C22semidirect
55. C11×#391C22semidirect
56. C11×#389C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
65. #10622843C22semidirect
75. #10622606C22semidirect
76. #10622606C22semidirect
88. #10622604C22semidirect
91. #10622603C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
100. #10622601C22semidirect
101. #10622600C22semidirect
102. #10622600C22semidirect
103. #10622600C22semidirect
104. #10622600C22semidirect
105. #10622599C22semidirect
106. #10622594C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622591C22semidirect
110. #10622590C22semidirect
127. #10622552C22semidirect
128. #10622552C22semidirect
129. #10622542C22semidirect
130. #10622542C22semidirect
133. #10622288C22semidirect
136. #10622287C22semidirect
139. #10622286C22semidirect
143. #10622285C22semidirect
149. #10622284C22semidirect
159. #10622283C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622282C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622277C22semidirect
177. C11⋊#401C22semidirect
178. #10622273C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622264C22semidirect
184. #10622264C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
582. #2438D11semidirect
760. #400C2×D11semidirect
761. #398C2×D11semidirect
762. #398C2×D11semidirect
778. #395C2×D11semidirect
808. #391C2×D11semidirect
818. #389C2×D11semidirect
851. #387C2×D11semidirect
852. #387C2×D11semidirect
1352. C11#36795semidirect

Maximal subgroups

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

subgroupindex
#130769332
#130769192
#130765932
#130765532
#130765432
#130763382
#130762852
#130762552
#130762402
#130761862
#130759772
#130759442
#130758722
#130756422
#130754292
#130754102
#130750292
#130743942
#130743532
#130731722
#130727492
#130723702
#130722262
#130721502
#130719952
#130719372
#130712822
#130712042
C2×#106222832
C11×#24382
#3679511