Finite Group Databasebeta

← #14926206

Subgroups — #14926206

Order 2816.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073480C211yesmaximal, characteristic, complemented
2#13073478C211yesmaximal, characteristic, complemented
3#13073440C211yesmaximal, characteristic, complemented
4#13073438C211yesmaximal, characteristic, complemented
5#13073201C211yesmaximal, characteristic, complemented
6#13073149C211yesmaximal, characteristic, complemented
7#13073024C211yesmaximal, characteristic, complemented
8#13072972C211yesmaximal, characteristic
9#13072841C211yesmaximal, characteristic, complemented
10#13072771C211yesmaximal, characteristic, complemented
11#13072769C211yesmaximal, characteristic, complemented
12#13072454C211yesmaximal, characteristic, complemented
13#13072409C211yesmaximal, characteristic, complemented
14#13072179C211yesmaximal, characteristic
15#13072134C211yesmaximal, characteristic, complemented
16#13071893C211yesmaximal, characteristic, complemented
17#13071885C211yesmaximal, characteristic, complemented
18#13071881C211yesmaximal, characteristic, complemented
19#13071872C211yesmaximal, characteristic, complemented
20#13071187C211yesmaximal, characteristic, complemented
21#126×Dic11C211yesmaximal, characteristic, complemented
22#13071166C211yesmaximal, characteristic, complemented
23#13071163C211yesmaximal, characteristic, complemented
24#13071157C211yesmaximal, characteristic, complemented
25#13071157C211yesmaximal, characteristic, complemented
26#13071148C211yesmaximal, characteristic, complemented
27#13071126C211yesmaximal, characteristic
28#13071076C211yesmaximal, characteristic, complemented
29C4×#66940C211yesmaximal, characteristic, complemented
30#117×Dic11C211yesmaximal, characteristic, complemented
31C11×#2479C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66989C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×#66979C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C2×#66951C2211yescharacteristic
40C2×#66945C2211yescharacteristic
41C2×#66941C2211yescharacteristic
42C2×#66940C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×#66940C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C2×#66930C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#399C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#389C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622605C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622593C2211yescharacteristic
85#10622593C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622590C2211yescharacteristic
88#10622589C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622566C2211yescharacteristic
110#10622566C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622562C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622560C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622550C2211yescharacteristic
145#10622545C2211yescharacteristic
146#10622545C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149C42×Dic11C2211yescharacteristic
150C42×Dic11C2211yescharacteristic
151C42×Dic11C2211yescharacteristic
152C42×Dic11C2211yescharacteristic
153#10622542C2211yescharacteristic
154#10622541C2211yescharacteristic
155#10622286C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622274C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622269C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622264C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×#126—24no—
199C11×#117—24no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66992—24no—
237#66989—24no—
238D4×Dic11—42no—
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
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
251#66979—24no—
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11—24no—
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305#66951—24no—
306#66945—42no—
307#66941—24no—
308#66940—24no—
309#66940—24no—
310#66940—42no—
311#66940—42no—
312#66938—24no—
313#66938—24no—
314(C22⋊D11)⋊C4—24no—
315(C22⋊D11)⋊C4—42no—
316#66931—24no—
317#66930—42no—
318C4×Dic22—24no—
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#34974—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C2×D4×C11—22no—
368C2×D4×C11—22no—
369C2×D4×C11—41no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C2×C22⋊D11—22no—
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—41no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×Dic22—22no—
420C2×Dic22—22no—
421C2×Dic22—22no—
422C2×Dic22—22no—
423C2×Dic22—22no—
424C2×Dic22—22no—
425C2×Dic22—41no—
426C2×Dic22—41no—
427C2×Dic22#4114yes—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4#4114yes—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C42×C11—22no—
450C42×C11—22no—
451C42×C11—22no—
452C42×C11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11#4114yes—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476C4⋊Dic11—22no—
477C4⋊Dic11—22no—
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—22no—
481C4⋊Dic11—22no—
482C4⋊Dic11—41no—
483C4⋊Dic11—41no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4#4114yes—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11#4114yes—
528#2532—111no—
529#2532—111no—
530#2529—111no—
531#2529—111no—
532#2512—111no—
533#2508—111no—
534#2495—111no—
535#2491—111no—
536#2479—111no—
537#2479D1111yescharacteristic, complemented
538#2474—111no—
539#2474—111no—
540#2451—111no—
541#2448—111no—
542#2426—111no—
543#2423—111no—
544#2396—111no—
545#2396—111no—
546#2395—111no—
547#2395—111no—
548C4×C4⋊Q8—111no—
549C4×#126—111no—
550C4×#126—111no—
551C4×#124—111no—
552C4×#124—111no—
553C4×#124—111no—
554C4×C22⋊Q8—111no—
555C4×#121—111no—
556#2293—111no—
557C42×Q8—111no—
558C4×#117—111no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11C2×#4112yes—
573C23×C11C2511yescharacteristic
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581D4×C11—44no—
582C2×C4×C11—28no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11C2×#4112yes—
617C2×C4×C11C2×#4112yes—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C22⋊D11—44no—
623C22⋊D11—44no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—44no—
660C2×Dic11—44no—
661C2×Dic11—44no—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670C2×Dic11H(5,𝔽2)12yes—
671C2×Dic112−1+412yes—
672C4×D11—44no—
673Dic22—28no—
674Dic22—44no—
675Dic22—44no—
676C2×C4⋊Q8—111no—
677C2×#126—111no—
678C2×#126C2×D1111yescharacteristic
679C2×#124—111no—
680C2×#124—111no—
681C2×#124—111no—
682C2×C22⋊Q8—111no—
683C2×#121—111no—
684C2×C4×Q8—111no—
685C2×C4×Q8—111no—
686C2×C4×Q8—111no—
687C2×C4×Q8—111no—
688C2×C4×Q8—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×#117—111no—
693C2×#117—111no—
694C2×#117—111no—
695C2×#117C2×D1111yescharacteristic
696C22×C42—111no—
697#400—111no—
698#400—111no—
699#400—111no—
700#400—111no—
701#399—111no—
702#399—111no—
703#399C2×D1111yescharacteristic
704#399C2×D1111yescharacteristic
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398C2×D1111yescharacteristic
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#395—111no—
722#395—111no—
723#394—111no—
724#394—111no—
725#394—111no—
726#394C2×D1111yescharacteristic
727#393—111no—
728#393—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#390—111no—
736#390—111no—
737#390—111no—
738#390—111no—
739#390—111no—
740#390C2×D1111yescharacteristic
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389C2×D1111yescharacteristic
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388C2×D1111yescharacteristic
771#388C2×D1111yescharacteristic
772#388C2×D1111yescharacteristic
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387C2×D1111yescharacteristic
781#386—111no—
782#386C2×D1111yescharacteristic
783#385—111no—
784#385C2×D1111yescharacteristic
785#384—111no—
786#383—111no—
787#383—111no—
788#382—111no—
789#382—111no—
790#382—111no—
791#380—111no—
792#380—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4C2×D1111yescharacteristic
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825#376—111no—
826#376—111no—
827C43—111no—
828C43—111no—
829C43—111no—
830C43—111no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—41no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11C22×#4111yescharacteristic
846C22×C11C22×#4111yescharacteristic
847C22×C11C22×#4111yescharacteristic
848C22×C11C22×#4111yescharacteristic
849C22×C11C22×#4111yescharacteristic
850C22×C11C2×H(5,𝔽2)11yescharacteristic
851C22×C11C2×2−1+411yescharacteristic
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C4×C11—22no—
860C4×C11—22no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872Dic11—22no—
873Dic11—22no—
874Dic11—22no—
875Dic11—22no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11#52914yes—
886Dic11#54214yes—
887C22×Q8—111no—
888C22×Q8—111no—
889C22×Q8—111no—
890C22×D4—111no—
891C22×D4—111no—
892C22×D4C22×D1111yescharacteristic
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4C22×D1111yescharacteristic
898C4⋊Q8—224no—
899#126—24no—
900#126—224no—
901#124—224no—
902#124—224no—
903#124—224no—
904C22⋊Q8—224no—
905#121—224no—
906C4×Q8—224no—
907C4×Q8—224no—
908C4×Q8—224no—
909C4×Q8—442no—
910C4×Q8—442no—
911C4×D4—224no—
912C4×D4—442no—
913C4×D4—442no—
914#117—24no—
915#117—224no—
916#117—442no—
917#117—442no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4C22×D1111yescharacteristic
945C2×C4⋊C4C22×D1111yescharacteristic
946C2×C4⋊C4C22×D1111yescharacteristic
947C2×C4⋊C4C22×D1111yescharacteristic
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—224no—
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063C2×C11—42no—
1064C2×C11—81no—
1065C2×C11C2×#52911yescharacteristic
1066C2×C11#344411yescharacteristic
1067C2×C11C2×#54211yescharacteristic
1068C2×C11#348111yescharacteristic
1069C2×C11#348211yescharacteristic
1070C2×C11#348211yescharacteristic
1071C2×C11#348311yescharacteristic
1072D11—81no—
1073C24—111no—
1074C24C23×D1111yescharacteristic
1075C24C23×D1111yescharacteristic
1076C2×Q8—114no—
1077C2×Q8—222no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8—222no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—41no—
1088C2×D4—222no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C2×D4—222no—
1092C2×D4—222no—
1093C2×D4—441no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—114no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4#434114yes—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—114no—
1185C22⋊C4—222no—
1186C22⋊C4—222no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—222no—
1193C22⋊C4—222no—
1194C22⋊C4—222no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—22no—
1211C42—114no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—222no—
1236C42—222no—
1237C11#3497411yescharacteristic, complemented, Sylow
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23#41×D1112yes—
1259C23C24×D1111yescharacteristic
1260Q8—228no—
1261Q8—444no—
1262Q8—444no—
1263D4—44no—
1264D4—444no—
1265D4—444no—
1266C2×C4—28no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—112no—
1301C2×C4—112no—
1302C2×C4—112no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—444no—
1346C2×C4—444no—
1347C2×C4—444no—
1348C2×C4—444no—
1349C2×C4C2×#434112yes—
1350C2×C4C2×#434112yes—
1351C2×C4C2×#434112yes—
1352C2×C4#41×D1112yes—
1353C2×C4#41×D1112yes—
1354C2×C4#41×D1112yes—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—441no—
1370C22—441no—
1371C22—441no—
1372C22—441no—
1373C22—441no—
1374C22—441no—
1375C22—441no—
1376C22C22×#434111yescharacteristic
1377C22C2×#41×D1111yescharacteristic
1378C22C2×#41×D1111yescharacteristic
1379C22C2×#41×D1111yescharacteristic
1380C22C2×#41×D1111yescharacteristic
1381C22D11×H(5,𝔽2)11yescharacteristic
1382C22D11×2−1+411yescharacteristic
1383C4—22no—
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—22no—
1388C4—22no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—114no—
1397C4—114no—
1398C4—222no—
1399C4—222no—
1400C4—222no—
1401C4—222no—
1402C4—441no—
1403C4—441no—
1404C4—441no—
1405C4—441no—
1406C4—441no—
1407C4—441no—
1408C4—441no—
1409C4—441no—
1410C4—441no—
1411C2—42no—
1412C2—81no—
1413C2—881no—
1414C2D11×#52911yescharacteristic
1415C2#1308190811yescharacteristic
1416C2D11×#54211yescharacteristic
1417C2#1308221911yescharacteristic
1418C2#1308222811yescharacteristic
1419C2#1308223011yescharacteristic
1420C2#1308223911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2479C2
prime radicalC2×#66992C22
hypercenter#2479D11
hypocenterC11#34974
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. #13073480C2semidirect
2. #13073478C2semidirect
3. #13073440C2semidirect
4. #13073438C2semidirect
5. #13073201C2semidirect
6. #13073149C2semidirect
7. #13073024C2semidirect
9. #13072841C2semidirect
10. #13072771C2semidirect
11. #13072769C2semidirect
12. #13072454C2semidirect
13. #13072409C2semidirect
15. #13072134C2semidirect
16. #13071893C2semidirect
17. #13071885C2semidirect
18. #13071881C2semidirect
19. #13071872C2semidirect
20. #13071187C2semidirect
21. #126×Dic11C2semidirect
22. #13071166C2semidirect
23. #13071163C2semidirect
24. #13071157C2semidirect
25. #13071157C2semidirect
26. #13071148C2semidirect
28. #13071076C2semidirect
29. C4×#66940C2semidirect
30. #117×Dic11C2semidirect
31. C11×#2479C2semidirect
537. #2479D11semidirect
1237. C11#34974semidirect

Maximal subgroups

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

subgroupindex
#130734802
#130734782
#130734402
#130734382
#130732012
#130731492
#130730242
#130729722
#130728412
#130727712
#130727692
#130724542
#130724092
#130721792
#130721342
#130718932
#130718852
#130718812
#130718722
#130711872
#126×Dic112
#130711662
#130711632
#130711572
#130711482
#130711262
#130710762
C4×#669402
#117×Dic112
C11×#24792
#3497411