Finite Group Databasebeta

← #14961648

Subgroups — #14961648

Order 2816.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic, complemented
2#13076899C211yesmaximal, characteristic, complemented
3#13076474C211yesmaximal, characteristic, complemented
4#13076276C211yesmaximal, characteristic, complemented
5#13076255C211yesmaximal, characteristic, complemented
6#13076241C211yesmaximal, characteristic, complemented
7#13076241C211yesmaximal, characteristic, complemented
8#13075934C211yesmaximal, characteristic, complemented
9#13075899C211yesmaximal, characteristic, complemented
10#13075836C211yesmaximal, characteristic, complemented
11#13075725C211yesmaximal, characteristic, complemented
12#13075617C211yesmaximal, characteristic, complemented
13#13075410C211yesmaximal, characteristic, complemented
14#13075258C211yesmaximal, characteristic, complemented
15#13075246C211yesmaximal, characteristic, complemented
16#13075159C211yesmaximal, characteristic, complemented
17#13075059C211yesmaximal, characteristic, complemented
18#13074915C211yesmaximal, characteristic, complemented
19#13074333C211yesmaximal, characteristic, complemented
20#13074333C211yesmaximal, characteristic, complemented
21#13072938C211yesmaximal, characteristic, complemented
22#13072867C211yesmaximal, characteristic, complemented
23#13072742C211yesmaximal, characteristic, complemented
24#13072167C211yesmaximal, characteristic, complemented
25#13072150C211yesmaximal, characteristic, complemented
26#13072097C211yesmaximal, characteristic, complemented
27#13072080C211yesmaximal, characteristic, complemented
28#13071276C211yesmaximal, characteristic, complemented
29#13071273C211yesmaximal, characteristic, complemented
30C2×#10622278C211yesmaximal, characteristic, complemented
31C11×#2493C211yesmaximal, characteristic, complemented
32C23×D44C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×#66983C2211yescharacteristic
35C2×#66982C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C2×#66951C2211yescharacteristic, complemented
42C2×#66949C2211yescharacteristic, complemented
43C2×#66949C2211yescharacteristic, complemented
44C2×#66948C2211yescharacteristic, complemented
45C2×#66948C2211yescharacteristic, complemented
46C2×#66948C2211yescharacteristic, complemented
47C2×#66947C2211yescharacteristic, complemented
48C2×#66935C2211yescharacteristic
49C2×#66935C2211yescharacteristic
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×#66931C2211yescharacteristic
54C2×#66928C2211yescharacteristic, complemented
55C11×#401C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#383C2211yescharacteristic, complemented
65C11×#381C2211yescharacteristic
66C11×#381C2211yescharacteristic
67C11×#380C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C2×C11×#95C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622823C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73#10622607C2211yescharacteristic, complemented
74#10622607C2211yescharacteristic, complemented
75#10622606C2211yescharacteristic, complemented
76#10622605C2211yescharacteristic, complemented
77#10622604C2211yescharacteristic, complemented
78#10622604C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622602C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic, complemented
85#10622601C2211yescharacteristic, complemented
86#10622601C2211yescharacteristic, complemented
87#10622601C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic, complemented
89#10622600C2211yescharacteristic, complemented
90#10622571C2211yescharacteristic
91#10622571C2211yescharacteristic
92#10622571C2211yescharacteristic
93#10622568C2211yescharacteristic
94#10622568C2211yescharacteristic
95#10622568C2211yescharacteristic
96#10622568C2211yescharacteristic
97#10622563C2211yescharacteristic
98#10622555C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100#10622553C2211yescharacteristic, complemented
101#10622553C2211yescharacteristic, complemented
102#10622553C2211yescharacteristic, complemented
103#10622553C2211yescharacteristic, complemented
104#10622552C2211yescharacteristic, complemented
105#10622552C2211yescharacteristic, complemented
106#10622552C2211yescharacteristic, complemented
107#10622289C2211yescharacteristic, complemented
108#10622288C2211yescharacteristic, complemented
109#10622288C2211yescharacteristic, complemented
110#10622288C2211yescharacteristic, complemented
111#10622288C2211yescharacteristic, complemented
112#10622288C2211yescharacteristic, complemented
113#10622287C2211yescharacteristic, complemented
114#10622287C2211yescharacteristic, complemented
115#10622287C2211yescharacteristic, complemented
116#10622286C2211yescharacteristic, complemented
117#10622286C2211yescharacteristic, complemented
118#10622285C2211yescharacteristic
119#10622285C2211yescharacteristic
120#10622285C2211yescharacteristic
121#10622285C2211yescharacteristic
122#10622285C2211yescharacteristic
123#10622285C2211yescharacteristic
124#10622285C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622285C2211yescharacteristic, complemented
127#10622285C2211yescharacteristic, complemented
128#10622285C2211yescharacteristic, complemented
129#10622285C2211yescharacteristic, complemented
130#10622285C2211yescharacteristic, complemented
131#10622284C2211yescharacteristic
132#10622284C2211yescharacteristic
133#10622284C2211yescharacteristic
134#10622284C2211yescharacteristic
135#10622284C2211yescharacteristic
136#10622284C2211yescharacteristic
137#10622284C2211yescharacteristic
138#10622284C2211yescharacteristic
139#10622284C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622283C2211yescharacteristic, complemented
142#10622283C2211yescharacteristic, complemented
143#10622283C2211yescharacteristic, complemented
144#10622283C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic, complemented
156#10622280C2211yescharacteristic, complemented
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44—24no—
197C22×D44—42no—
198C22×D44—42no—
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66983—42no—
237#66982—42no—
238#66982—42no—
239C4×C22⋊D11—42no—
240C2×(C2×D11)⋊C4—42no—
241C2×(C2×D11)⋊C4—42no—
242C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66951—42no—
316#66949—42no—
317#66949—42no—
318#66948—42no—
319#66948—42no—
320#66948—42no—
321#66947—42no—
322#66935—24no—
323#66935—24no—
324#66935—42no—
325#66935—42no—
326(C22⋊D11)⋊C4—42no—
327#66931—42no—
328#66928—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36758—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C23×D11—22no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11#4114yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C2×D44—22no—
437C2×D44—22no—
438C2×D44—22no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
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×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—416no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—416no—
495C2×Dic22—22no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
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—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564C4⋊Dic11—41no—
565C4⋊Dic11—41no—
566C4⋊Dic11—41no—
567C4⋊Dic11—41no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584#2848—111no—
585#2847—111no—
586#2797—111no—
587#2781—111no—
588#2779—111no—
589#2778—111no—
590#2778—111no—
591#2756—111no—
592#2753—111no—
593#2749—111no—
594#2741—111no—
595#2730—111no—
596#2714—111no—
597#2703—111no—
598#2702—111no—
599#2696—111no—
600#2688—111no—
601#2676—111no—
602#2613—111no—
603#2613—111no—
604#2493D1111yescharacteristic, complemented
605#2488—111no—
606#2480—111no—
607#2472—111no—
608#2425—111no—
609#2424—111no—
610#2419—111no—
611#2418—111no—
612#2321—111no—
613#2321—111no—
614C2×#386—111no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11C2×#4112yes—
620C23×C11H(5,𝔽2)12yes—
621C23×C11H(5,𝔽2)12yes—
622C23×C11C2511yescharacteristic
623C22×D11—28no—
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—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—82no—
674C22×D11—82no—
675C22×D11—82no—
676C22×D11—82no—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—44no—
721C2×C4×C11—44no—
722C2×C4×C11—82no—
723C2×C4×C11H(5,𝔽2)12yes—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—44no—
756C2×Dic11—82no—
757C2×Dic11H(5,𝔽2)12yes—
758D44—44no—
759D44—44no—
760D44—44no—
761D44—44no—
762D44—82no—
763D44—82no—
764D44—82no—
765D44—82no—
766D44—82no—
767D44—82no—
768D44—82no—
769D44—82no—
770D44—82no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—82no—
776C4×D11—82no—
777Dic22—82no—
778C23×D4—111no—
779C24×C4—111no—
780C2×#126—111no—
781C2×#124—111no—
782C2×#123—111no—
783C2×#123—111no—
784C2×#123—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#121—111no—
791C2×#121—111no—
792C2×#120—111no—
793C2×#120—111no—
794C2×#120—111no—
795C2×#120—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C22⋊C4—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4—111no—
801#401C2×D1111yescharacteristic, complemented
802#400—111no—
803#400—111no—
804#400—111no—
805#400C2×D1111yescharacteristic, complemented
806#400C2×D1111yescharacteristic, complemented
807#400C2×D1111yescharacteristic, complemented
808#399—111no—
809#398—111no—
810#398—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#397—111no—
820#396—111no—
821#396—111no—
822#396—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394—111no—
836#394—111no—
837#394—111no—
838#393—111no—
839#393—111no—
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#392—111no—
847#392—111no—
848#392—111no—
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#389—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#387—111no—
877#387—111no—
878#387C2×D1111yescharacteristic, complemented
879#387C2×D1111yescharacteristic, complemented
880#387C2×D1111yescharacteristic, complemented
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385C2×D1111yescharacteristic
912#385C2×D1111yescharacteristic
913#383C2×D1111yescharacteristic, complemented
914#382—111no—
915#381—111no—
916#381C2×D1111yescharacteristic
917#381C2×D1111yescharacteristic
918#380—111no—
919#380—111no—
920#380—111no—
921#380—111no—
922#380—111no—
923#380—111no—
924#380C2×D1111yescharacteristic
925#379—111no—
926#379—111no—
927#379—111no—
928#379—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4C2×D1111yescharacteristic
931C2×#95—111no—
932C2×#95C2×D1111yescharacteristic
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11#53814yes—
940C22×C11C22×#4111yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11C2×H(5,𝔽2)11yescharacteristic
944C22×C11C2×H(5,𝔽2)11yescharacteristic
945C22×C11#58511yescharacteristic
946C22×C11#58511yescharacteristic
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—416no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—88no—
991C4×C11—22no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005Dic11—22no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015C25—111no—
1016C25—111no—
1017C22×Q8—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C22×D4—224no—
1034C22×D4—442no—
1035C22×D4—442no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—442no—
1045C23×C4—442no—
1046C23×C4—442no—
1047C23×C4C22×D1111yescharacteristic
1048C23×C4C22×D1111yescharacteristic
1049C23×C4C22×D1111yescharacteristic
1050#126—442no—
1051#124—442no—
1052#123—442no—
1053#123—442no—
1054#123—442no—
1055C22⋊Q8—442no—
1056C22⋊Q8—442no—
1057C22⋊Q8—442no—
1058#121—442no—
1059#121—442no—
1060#121—442no—
1061#121—442no—
1062#120—224no—
1063#120—224no—
1064#120—442no—
1065#120—442no—
1066C4×D4—442no—
1067C4×D4—442no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—442no—
1145C2×C22⋊C4—442no—
1146C2×C22⋊C4—442no—
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42C22×D1111yescharacteristic
1156C2×C42C22×D1111yescharacteristic
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191#95C22×D1111yescharacteristic
1192#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197C2×C11—24no—
1198C2×C11C2×#53811yescharacteristic
1199C2×C11#350511yescharacteristic
1200C2×C11#350511yescharacteristic
1201C2×C11#353211yescharacteristic
1202C2×C11#353311yescharacteristic
1203C2×C11#354211yescharacteristic
1204C2×C11#354211yescharacteristic
1205D11—42no—
1206D11—42no—
1207D11—81no—
1208D11—81no—
1209D11—81no—
1210D11—81no—
1211C24—111no—
1212C24—111no—
1213C24—114no—
1214C24—111no—
1215C24—111no—
1216C24—111no—
1217C24—111no—
1218C24—222no—
1219C24—222no—
1220C24—222no—
1221C24—222no—
1222C24—222no—
1223C24—441no—
1224C24—441no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24—441no—
1229C24—441no—
1230C24—441no—
1231C24C23×D1111yescharacteristic
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—4416no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
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—4416no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C4⋊C4—441no—
1351C4⋊C4—441no—
1352C4⋊C4—441no—
1353C4⋊C4—441no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C42—41no—
1420C42—41no—
1421C42—441no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C11#3675811yescharacteristic, complemented, Sylow
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—112no—
1431C23—112no—
1432C23—228no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—882no—
1483C23—882no—
1484C23—882no—
1485C23—882no—
1486C23#41×D1112yes—
1487C23#6704212yes—
1488C23#6704212yes—
1489C23C24×D1111yescharacteristic
1490Q8—882no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—444no—
1497D4—882no—
1498D4—882no—
1499D4—882no—
1500D4—882no—
1501D4—882no—
1502D4—882no—
1503D4—882no—
1504D4—882no—
1505D4—882no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—112no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4—444no—
1585C2×C4—882no—
1586C2×C4—882no—
1587C2×C4—882no—
1588C2×C4#6704212yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—222no—
1601C22—4416no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22—441no—
1631C22—441no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—888no—
1639C22#1062323514yes—
1640C22C2×#41×D1111yescharacteristic
1641C22C2×#6704211yescharacteristic
1642C22C2×#6704211yescharacteristic
1643C22C2×#6704211yescharacteristic
1644C22#1062345311yescharacteristic
1645C22D11×H(5,𝔽2)11yescharacteristic
1646C22#1062345711yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—222no—
1662C4—441no—
1663C4—441no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C2—24no—
1672C2—442no—
1673C2—442no—
1674C2—881no—
1675C2—881no—
1676C2—881no—
1677C2—881no—
1678C2C2×#1062323511yescharacteristic
1679C2#1308244811yescharacteristic
1680C2#1308245111yescharacteristic
1681C2#1308277211yescharacteristic
1682C2#1308278211yescharacteristic
1683C2#1308292511yescharacteristic
1684C2#1308292611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
hypercenter#2493D11
hypocenterC11#36758
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13076902C2semidirect
2. #13076899C2semidirect
3. #13076474C2semidirect
4. #13076276C2semidirect
5. #13076255C2semidirect
6. #13076241C2semidirect
7. #13076241C2semidirect
8. #13075934C2semidirect
9. #13075899C2semidirect
10. #13075836C2semidirect
11. #13075725C2semidirect
12. #13075617C2semidirect
13. #13075410C2semidirect
14. #13075258C2semidirect
15. #13075246C2semidirect
16. #13075159C2semidirect
17. #13075059C2semidirect
18. #13074915C2semidirect
19. #13074333C2semidirect
20. #13074333C2semidirect
21. #13072938C2semidirect
22. #13072867C2semidirect
23. #13072742C2semidirect
24. #13072167C2semidirect
25. #13072150C2semidirect
26. #13072097C2semidirect
27. #13072080C2semidirect
28. #13071276C2semidirect
29. #13071273C2semidirect
30. C2×#10622278C2semidirect
31. C11×#2493C2semidirect
41. C2×#66951C22semidirect
42. C2×#66949C22semidirect
43. C2×#66949C22semidirect
44. C2×#66948C22semidirect
45. C2×#66948C22semidirect
46. C2×#66948C22semidirect
47. C2×#66947C22semidirect
54. C2×#66928C22semidirect
55. C11×#401C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
64. C11×#383C22semidirect
73. #10622607C22semidirect
74. #10622607C22semidirect
75. #10622606C22semidirect
76. #10622605C22semidirect
77. #10622604C22semidirect
78. #10622604C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
83. #10622602C22semidirect
84. #10622602C22semidirect
85. #10622601C22semidirect
86. #10622601C22semidirect
87. #10622601C22semidirect
88. #10622600C22semidirect
89. #10622600C22semidirect
100. #10622553C22semidirect
101. #10622553C22semidirect
102. #10622553C22semidirect
103. #10622553C22semidirect
104. #10622552C22semidirect
105. #10622552C22semidirect
106. #10622552C22semidirect
107. #10622289C22semidirect
108. #10622288C22semidirect
109. #10622288C22semidirect
110. #10622288C22semidirect
111. #10622288C22semidirect
112. #10622288C22semidirect
113. #10622287C22semidirect
114. #10622287C22semidirect
115. #10622287C22semidirect
116. #10622286C22semidirect
117. #10622286C22semidirect
126. #10622285C22semidirect
127. #10622285C22semidirect
128. #10622285C22semidirect
129. #10622285C22semidirect
130. #10622285C22semidirect
139. #10622284C22semidirect
140. #10622283C22semidirect
141. #10622283C22semidirect
142. #10622283C22semidirect
143. #10622283C22semidirect
144. #10622283C22semidirect
145. #10622282C22semidirect
146. #10622282C22semidirect
147. #10622282C22semidirect
148. #10622282C22semidirect
149. #10622282C22semidirect
150. #10622282C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622280C22semidirect
155. #10622280C22semidirect
156. #10622280C22semidirect
165. #10622278C22semidirect
166. #10622278C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622277C22semidirect
177. #10622273C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622267C22semidirect
183. #10622265C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
604. #2493D11semidirect
801. #401C2×D11semidirect
805. #400C2×D11semidirect
806. #400C2×D11semidirect
807. #400C2×D11semidirect
878. #387C2×D11semidirect
879. #387C2×D11semidirect
880. #387C2×D11semidirect
913. #383C2×D11semidirect
1425. C11#36758semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130768992
#130764742
#130762762
#130762552
#130762412
#130759342
#130758992
#130758362
#130757252
#130756172
#130754102
#130752582
#130752462
#130751592
#130750592
#130749152
#130743332
#130729382
#130728672
#130727422
#130721672
#130721502
#130720972
#130720802
#130712762
#130712732
C2×#106222782
C11×#24932
#3675811