Finite Group Databasebeta

← #14969316

Subgroups — #14969316

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076985C211yesmaximal, characteristic, complemented
2#13076985C211yesmaximal, characteristic, complemented
3#13076545C211yesmaximal, characteristic, complemented
4#13076227C211yesmaximal, characteristic, complemented
5#13075978C211yesmaximal, characteristic, complemented
6#13075941C211yesmaximal, characteristic, complemented
7#13075905C211yesmaximal, characteristic, complemented
8#13075659C211yesmaximal, characteristic, complemented
9#13075615C211yesmaximal, characteristic, complemented
10#13075383C211yesmaximal, characteristic, complemented
11#13075381C211yesmaximal, characteristic, complemented
12#13075368C211yesmaximal, characteristic, complemented
13#13075354C211yesmaximal, characteristic, complemented
14#13075300C211yesmaximal, characteristic, complemented
15#13075267C211yesmaximal, characteristic, complemented
16#13074934C211yesmaximal, characteristic, complemented
17#13074841C211yesmaximal, characteristic, complemented
18#13074841C211yesmaximal, characteristic, complemented
19#13074745C211yesmaximal, characteristic, complemented
20#13074679C211yesmaximal, characteristic, complemented
21#13073734C211yesmaximal, characteristic, complemented
22#13073689C211yesmaximal, characteristic, complemented
23#13072744C211yesmaximal, characteristic, complemented
24#13072562C211yesmaximal, characteristic, complemented
25#13072535C211yesmaximal, characteristic, complemented
26#13072413C211yesmaximal, characteristic, complemented
27#13072072C211yesmaximal, characteristic, complemented
28#13071425C211yesmaximal, characteristic, complemented
29#13071270C211yesmaximal, characteristic, complemented
30C4×#66989C211yesmaximal, characteristic, complemented
31C11×#2456C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic, complemented
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66989C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66989C2211yescharacteristic, complemented
43C2×#66982C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C2×#66942C2211yescharacteristic, complemented
46C2×#66942C2211yescharacteristic, complemented
47C2×#66939C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic, complemented
53C11×#396C2211yescharacteristic
54C11×#392C2211yescharacteristic
55C11×#392C2211yescharacteristic
56C11×#392C2211yescharacteristic
57C11×#390C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic, complemented
64#10622836C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic, complemented
72#10622835C2211yescharacteristic, complemented
73#10622835C2211yescharacteristic, complemented
74#10622835C2211yescharacteristic, complemented
75#10622834C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic, complemented
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622825C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic
86#10622823C2211yescharacteristic, complemented
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91#10622607C2211yescharacteristic
92#10622606C2211yescharacteristic
93#10622606C2211yescharacteristic
94#10622606C2211yescharacteristic
95#10622605C2211yescharacteristic
96#10622605C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic
100#10622603C2211yescharacteristic
101#10622596C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622592C2211yescharacteristic, complemented
105#10622590C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622586C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622560C2211yescharacteristic, complemented
138#10622560C2211yescharacteristic, complemented
139#10622559C2211yescharacteristic
140#10622559C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622557C2211yescharacteristic
151#10622557C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622555C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic
157#10622553C2211yescharacteristic
158#10622553C2211yescharacteristic
159#10622553C2211yescharacteristic
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic
164#10622287C2211yescharacteristic
165#10622286C2211yescharacteristic
166#10622286C2211yescharacteristic
167#10622286C2211yescharacteristic
168#10622283C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622282C2211yescharacteristic
172#10622282C2211yescharacteristic
173#10622282C2211yescharacteristic
174#10622282C2211yescharacteristic
175C11⋊#401C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622259C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#123—42no—
209C11×#121—42no—
210C4×D4×C11—42no—
211C4×D4×C11—42no—
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—42no—
256#66990—24no—
257#66990—42no—
258#66990—42no—
259#66989—24no—
260#66989—24no—
261#66989—42no—
262#66982—42no—
263C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66942—42no—
318#66942—42no—
319#66939—42no—
320#66938—42no—
321#66938—42no—
322#66938—42no—
323#66931—42no—
324C4×Dic22—42no—
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#37038—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C23×D11—22no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11—41no—
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
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
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C42×C11—22no—
481C42×C11—41no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—22no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11#4114yes—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
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—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2861—111no—
559#2861—111no—
560#2803—111no—
561#2778—111no—
562#2759—111no—
563#2756—111no—
564#2754—111no—
565#2735—111no—
566#2730—111no—
567#2712—111no—
568#2712—111no—
569#2711—111no—
570#2710—111no—
571#2706—111no—
572#2704—111no—
573#2678—111no—
574#2670—111no—
575#2670—111no—
576#2661—111no—
577#2653—111no—
578#2558—111no—
579#2555—111no—
580#2472—111no—
581#2460—111no—
582#2458—111no—
583#2456D1111yescharacteristic, complemented
584#2448—111no—
585#2418—111no—
586#2337—111no—
587#2321—111no—
588C4×#124—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11C2×#4112yes—
617C23×C11C2511yescharacteristic
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—44no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11—82no—
639D4×C11—44no—
640D4×C11—44no—
641D4×C11—82no—
642D4×C11—82no—
643D4×C11—82no—
644D4×C11—82no—
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—82no—
677C2×C4×C11—82no—
678C2×C4×C11—82no—
679C2×C4×C11H(5,𝔽2)12yes—
680C2×C4×C11H(5,𝔽2)12yes—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C22⋊D11—82no—
686C22⋊D11—82no—
687C2×Dic11—21no—
688C2×Dic11—21no—
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—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—82no—
727C2×Dic11—82no—
728C2×Dic11C2×#4112yes—
729C2×Dic11C2×#4112yes—
730C2×Dic11H(5,𝔽2)12yes—
731Dic22—44no—
732Dic22—82no—
733Dic22—82no—
734C2×#125—111no—
735C2×#125—111no—
736C2×#124—111no—
737C2×#124—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123C2×D1111yescharacteristic, complemented
745C2×C22⋊Q8—111no—
746C2×#121—111no—
747C2×#121C2×D1111yescharacteristic, complemented
748C2×#120—111no—
749C2×#120—111no—
750C2×#120—111no—
751C2×C4×Q8—111no—
752C2×C4×D4C2×D1111yescharacteristic
753C2×C4×D4C2×D1111yescharacteristic
754C22×C22⋊C4—111no—
755#401—111no—
756#400—111no—
757#399—111no—
758#399—111no—
759#399—111no—
760#398—111no—
761#398—111no—
762#398—111no—
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#396—111no—
772#396—111no—
773#396—111no—
774#396C2×D1111yescharacteristic
775#395—111no—
776#394—111no—
777#394—111no—
778#394—111no—
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#393—111no—
791#393—111no—
792#393—111no—
793#393—111no—
794#393—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#392—111no—
799#392—111no—
800#392C2×D1111yescharacteristic
801#392C2×D1111yescharacteristic
802#392C2×D1111yescharacteristic
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390—111no—
819#390C2×D1111yescharacteristic, complemented
820#389—111no—
821#389—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#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388C2×D1111yescharacteristic, complemented
853#388C2×D1111yescharacteristic, complemented
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387C2×D1111yescharacteristic, complemented
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#386C2×D1111yescharacteristic
868#386C2×D1111yescharacteristic, complemented
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385C2×D1111yescharacteristic, complemented
875#383—111no—
876#382—111no—
877#380—111no—
878#380—111no—
879#379—111no—
880#379—111no—
881#379—111no—
882C4×C4⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C43—111no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11C22×#4111yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11#58511yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
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—88no—
939C4×C11—22no—
940C4×C11—22no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950Dic11—22no—
951Dic11—22no—
952Dic11—22no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964C25—111no—
965C22×Q8—111no—
966C22×Q8—111no—
967C22×Q8—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4C22×D1111yescharacteristic
975C22×D4C22×D1111yescharacteristic
976C22×D4C22×D1111yescharacteristic
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C23×C4—111no—
981C23×C4—111no—
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984C23×C4C22×D1111yescharacteristic
985#125—442no—
986#125—442no—
987#124—224no—
988#124—224no—
989#124—442no—
990#124—442no—
991#124—442no—
992#124—442no—
993#123—42no—
994#123—442no—
995#123—442no—
996C22⋊Q8—442no—
997#121—42no—
998#121—442no—
999#120—224no—
1000#120—442no—
1001#120—442no—
1002C4×Q8—442no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
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—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
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—442no—
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
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#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140C2×C11—42no—
1141C2×C11—81no—
1142C2×C11—81no—
1143C2×C11—81no—
1144C2×C11#346011yescharacteristic
1145C2×C11#351311yescharacteristic
1146C2×C11#351411yescharacteristic
1147C2×C11#354611yescharacteristic
1148C2×C11#355811yescharacteristic
1149C2×C11#355811yescharacteristic
1150C2×C11#356611yescharacteristic
1151D11—81no—
1152D11—81no—
1153C24—111no—
1154C24—111no—
1155C24—222no—
1156C24—441no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24C23×D1111yescharacteristic
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—222no—
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—441no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
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—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—111no—
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—111no—
1233C22×C4—111no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—114no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
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—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
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—
1334C42—22no—
1335C42—41no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C11#3703811yescharacteristic, complemented, Sylow
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
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—444no—
1390C23—882no—
1391C23—882no—
1392C23—882no—
1393C23—882no—
1394C23—882no—
1395C23—882no—
1396C23#41×D1112yes—
1397C23C24×D1111yescharacteristic
1398Q8—444no—
1399Q8—882no—
1400Q8—882no—
1401D4—44no—
1402D4—44no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—882no—
1408D4—882no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
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—82no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—112no—
1448C2×C4—112no—
1449C2×C4—112no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
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—882no—
1490C2×C4—882no—
1491C2×C4#6703712yes—
1492C2×C4#6703712yes—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
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—888no—
1536C22C2×#6703711yescharacteristic
1537C22C2×#6703711yescharacteristic
1538C22C2×#41×D1111yescharacteristic
1539C22#1062345311yescharacteristic
1540C22#1062345311yescharacteristic
1541C22D11×H(5,𝔽2)11yescharacteristic
1542C22#1062345511yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—222no—
1555C4—222no—
1556C4—222no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C2—42no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—881no—
1573C2—881no—
1574C2#1308203411yescharacteristic
1575C2#1308254211yescharacteristic
1576C2#1308256911yescharacteristic
1577C2#1308297511yescharacteristic
1578C2#1308312511yescharacteristic
1579C2#1308313011yescharacteristic
1580C2#1308329011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2456C2
hypercenter#2456D11
hypocenterC11#37038
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. #13076985C2semidirect
2. #13076985C2semidirect
3. #13076545C2semidirect
4. #13076227C2semidirect
5. #13075978C2semidirect
6. #13075941C2semidirect
7. #13075905C2semidirect
8. #13075659C2semidirect
9. #13075615C2semidirect
10. #13075383C2semidirect
11. #13075381C2semidirect
12. #13075368C2semidirect
13. #13075354C2semidirect
14. #13075300C2semidirect
15. #13075267C2semidirect
16. #13074934C2semidirect
17. #13074841C2semidirect
18. #13074841C2semidirect
19. #13074745C2semidirect
20. #13074679C2semidirect
21. #13073734C2semidirect
22. #13073689C2semidirect
23. #13072744C2semidirect
24. #13072562C2semidirect
25. #13072535C2semidirect
26. #13072413C2semidirect
27. #13072072C2semidirect
28. #13071425C2semidirect
29. #13071270C2semidirect
30. C4×#66989C2semidirect
31. C11×#2456C2semidirect
32. C2×C11×#123C22semidirect
33. C2×C11×#121C22semidirect
42. C2×#66989C22semidirect
45. C2×#66942C22semidirect
46. C2×#66942C22semidirect
52. C2×C4×Dic22C22semidirect
57. C11×#390C22semidirect
58. C11×#388C22semidirect
59. C11×#388C22semidirect
60. C11×#387C22semidirect
62. C11×#386C22semidirect
63. C11×#385C22semidirect
71. #10622835C22semidirect
72. #10622835C22semidirect
73. #10622835C22semidirect
74. #10622835C22semidirect
80. #10622833C22semidirect
84. #10622825C22semidirect
86. #10622823C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
101. #10622596C22semidirect
102. #10622594C22semidirect
103. #10622593C22semidirect
104. #10622592C22semidirect
105. #10622590C22semidirect
106. #10622587C22semidirect
107. #10622586C22semidirect
108. #10622585C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622562C22semidirect
136. #10622561C22semidirect
137. #10622560C22semidirect
138. #10622560C22semidirect
140. #10622559C22semidirect
141. #10622559C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
148. #10622558C22semidirect
149. #10622558C22semidirect
151. #10622557C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
155. C22⋊C4×Dic11C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. C42×Dic11C22semidirect
175. C11⋊#401C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622266C22semidirect
179. #10622264C22semidirect
180. #10622262C22semidirect
181. #10622259C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
583. #2456D11semidirect
744. C2×#123C2×D11semidirect
747. C2×#121C2×D11semidirect
819. #390C2×D11semidirect
852. #388C2×D11semidirect
853. #388C2×D11semidirect
858. #387C2×D11semidirect
868. #386C2×D11semidirect
874. #385C2×D11semidirect
1347. C11#37038semidirect

Maximal subgroups

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

subgroupindex
#130769852
#130765452
#130762272
#130759782
#130759412
#130759052
#130756592
#130756152
#130753832
#130753812
#130753682
#130753542
#130753002
#130752672
#130749342
#130748412
#130747452
#130746792
#130737342
#130736892
#130727442
#130725622
#130725352
#130724132
#130720722
#130714252
#130712702
C4×#669892
C11×#24562
#3703811