Finite Group Databasebeta

← #14927375

Subgroups — #14927375

Order 2816.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13077004C211yesmaximal, characteristic, complemented
3#13076945C211yesmaximal, characteristic, complemented
4#13076924C211yesmaximal, characteristic, complemented
5#13074666C211yesmaximal, characteristic, complemented
6#13074604C211yesmaximal, characteristic, complemented
7#13074453C211yesmaximal, characteristic, complemented
8#13074282C211yesmaximal, characteristic, complemented
9#13074229C211yesmaximal, characteristic, complemented
10#13074229C211yesmaximal, characteristic, complemented
11#13074197C211yesmaximal, characteristic, complemented
12#13074138C211yesmaximal, characteristic, complemented
13#13074075C211yesmaximal, characteristic, complemented
14#13073953C211yesmaximal, characteristic, complemented
15#13073725C211yesmaximal, characteristic, complemented
16#13073449C211yesmaximal, characteristic, complemented
17#13073428C211yesmaximal, characteristic, complemented
18#13073269C211yesmaximal, characteristic, complemented
19#13072795C211yesmaximal, characteristic, complemented
20#13072790C211yesmaximal, characteristic, complemented
21#13072571C211yesmaximal, characteristic, complemented
22#13072561C211yesmaximal, characteristic, complemented
23#13072503C211yesmaximal, characteristic
24#13071421C211yesmaximal, characteristic, complemented
25#13071413C211yesmaximal, characteristic, complemented
26#13071410C211yesmaximal, characteristic, complemented
27#13071402C211yesmaximal, characteristic, complemented
28#13071135C211yesmaximal, characteristic, complemented
29#13071056C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2630C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41C2×#66943C2211yescharacteristic
42C2×#66942C2211yescharacteristic
43C2×#66939C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×#66930C2211yescharacteristic
47C11×#398C2211yescharacteristic
48C11×#397C2211yescharacteristic
49C11×#396C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#392C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#380C2211yescharacteristic
60#10622836C2211yescharacteristic
61#10622836C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622834C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622823C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622599C2211yescharacteristic
82#10622598C2211yescharacteristic
83#10622598C2211yescharacteristic
84#10622598C2211yescharacteristic
85#10622597C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622593C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622590C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622566C2211yescharacteristic
114#10622566C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622565C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622564C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622563C2211yescharacteristic
126#10622563C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622557C2211yescharacteristic
138#10622557C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622556C2211yescharacteristic
143#10622555C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151#10622553C2211yescharacteristic
152C4×C4⋊Dic11C2211yescharacteristic
153#10622546C2211yescharacteristic
154C42×Dic11C2211yescharacteristic
155#10622287C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622282C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622273C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622268C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622267C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622265C2211yescharacteristic
184#10622264C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622261C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C11×#123—24no—
202C4×D4×C11—24no—
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×C4⋊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×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
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
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241#66992—42no—
242D4×Dic11—24no—
243D4×Dic11—24no—
244D4×Dic11—24no—
245#66982—24no—
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×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×C4×Dic11—42no—
284C2×C4×Dic11—42no—
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
303#66943—42no—
304#66942—24no—
305#66939—24no—
306#66936—24no—
307(C22⋊D11)⋊C4—42no—
308#66930—42no—
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
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
357#35040—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—22no—
367C2×D4×C11—41no—
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11#4114yes—
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
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11#4114yes—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C2×C4×D11—22no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
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—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
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—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480C4⋊Dic11—22no—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11#4114yes—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2866—111no—
525#2865—111no—
526#2854—111no—
527#2851—111no—
528#2652—111no—
529#2648—111no—
530#2630—111no—
531#2630D1111yescharacteristic, complemented
532#2608—111no—
533#2602—111no—
534#2602—111no—
535#2600—111no—
536#2595—111no—
537#2590—111no—
538#2578—111no—
539#2558—111no—
540#2530—111no—
541#2529—111no—
542#2518—111no—
543#2476—111no—
544#2475—111no—
545#2460—111no—
546#2460—111no—
547#2456—111no—
548#2336—111no—
549#2335—111no—
550#2335—111no—
551#2335—111no—
552C4×#123—111no—
553#2290—111no—
554C42×D4—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
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×C11—21no—
573C23×C11—21no—
574C23×C11C2×#4112yes—
575C23×C11C2×#4112yes—
576C23×C11C2511yescharacteristic
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584D4×C11—28no—
585D4×C11—44no—
586D4×C11—82no—
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×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—44no—
621C2×C4×C11—44no—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C22⋊D11—44no—
626C22⋊D11—82no—
627C22⋊D11—82no—
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—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—44no—
669C2×Dic11—44no—
670C2×Dic11—44no—
671C2×Dic11—44no—
672C2×Dic11—44no—
673C2×Dic11C2×#4112yes—
674C2×Dic11C2×#4112yes—
675C2×Dic11C2×#4112yes—
676C2×Dic11C2×#4112yes—
677C2×Dic11H(5,𝔽2)12yes—
678C4×D11—82no—
679C2×#125—111no—
680C2×#125—111no—
681C2×#123—111no—
682C2×#123—111no—
683C2×#123—111no—
684C2×#123C2×D1111yescharacteristic
685C2×#121—111no—
686C2×C4×D4—111no—
687C2×C4×D4—111no—
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C2×C4×D4C2×D1111yescharacteristic
691C2×#117—111no—
692C22×C42—111no—
693C22×C42—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#398—111no—
699#398—111no—
700#398C2×D1111yescharacteristic
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397C2×D1111yescharacteristic
708#396—111no—
709#396—111no—
710#396—111no—
711#396—111no—
712#396C2×D1111yescharacteristic
713#396C2×D1111yescharacteristic
714#394—111no—
715#394—111no—
716#394—111no—
717#394—111no—
718#394—111no—
719#394—111no—
720#394C2×D1111yescharacteristic
721#394C2×D1111yescharacteristic
722#394C2×D1111yescharacteristic
723#392—111no—
724#392—111no—
725#392C2×D1111yescharacteristic
726#390—111no—
727#390—111no—
728#390—111no—
729#390—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
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#388C2×D1111yescharacteristic
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387C2×D1111yescharacteristic
790#386—111no—
791#386—111no—
792#386—111no—
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386C2×D1111yescharacteristic
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385C2×D1111yescharacteristic
808#383—111no—
809#382—111no—
810#381—111no—
811#380—111no—
812#380—111no—
813#380—111no—
814#380C2×D1111yescharacteristic
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832#376—111no—
833C43—111no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11C22×#4111yescharacteristic
856C22×C11C22×#4111yescharacteristic
857C22×C11C22×#4111yescharacteristic
858C22×C11C2×H(5,𝔽2)11yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C22×C11#58511yescharacteristic
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—22no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896C22×D4—111no—
897C22×D4—111no—
898C22×D4—111no—
899C22×D4C22×D1111yescharacteristic
900C22×D4C22×D1111yescharacteristic
901C22×D4C22×D1111yescharacteristic
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4C22×D1111yescharacteristic
909C23×C4C22×D1111yescharacteristic
910#125—224no—
911#125—442no—
912#123—24no—
913#123—224no—
914#123—224no—
915#123—224no—
916#121—442no—
917C4×D4—24no—
918C4×D4—224no—
919C4×D4—224no—
920C4×D4—224no—
921C4×D4—442no—
922#117—442no—
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⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C22⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4C22×D1111yescharacteristic
995C2×C22⋊C4C22×D1111yescharacteristic
996C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1015C2×C42—442no—
1016C2×C42—442no—
1017C2×C42C22×D1111yescharacteristic
1018#95—111no—
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#95—111no—
1056#95—111no—
1057#95—111no—
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066C2×C11—42no—
1067C2×C11—42no—
1068C2×C11—81no—
1069C2×C11#344411yescharacteristic
1070C2×C11#345511yescharacteristic
1071C2×C11#345911yescharacteristic
1072C2×C11#350511yescharacteristic
1073C2×C11#351211yescharacteristic
1074C2×C11#351311yescharacteristic
1075C2×C11#352411yescharacteristic
1076D11—81no—
1077C24—111no—
1078C24C23×D1111yescharacteristic
1079C24C23×D1111yescharacteristic
1080C24C23×D1111yescharacteristic
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—222no—
1091C2×D4—222no—
1092C2×D4—222no—
1093C2×D4—441no—
1094C2×D4—441no—
1095C2×D4—441no—
1096C2×D4—441no—
1097C2×D4—441no—
1098C2×D4—441no—
1099C22×C4—22no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—114no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4#434114yes—
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—114no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C42—22no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C11#3504011yescharacteristic, complemented, Sylow
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23C2×#434112yes—
1271C23#41×D1112yes—
1272C23C24×D1111yescharacteristic
1273D4—28no—
1274D4—44no—
1275D4—82no—
1276D4—444no—
1277D4—882no—
1278D4—882no—
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—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4—112no—
1315C2×C4—112no—
1316C2×C4—112no—
1317C2×C4—112no—
1318C2×C4—112no—
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—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—444no—
1360C2×C4—444no—
1361C2×C4—444no—
1362C2×C4—444no—
1363C2×C4—444no—
1364C2×C4—882no—
1365C2×C4C2×#434112yes—
1366C2×C4C2×#434112yes—
1367C2×C4#41×D1112yes—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—441no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22—441no—
1396C22C22×#434111yescharacteristic
1397C22C2×#41×D1111yescharacteristic
1398C22C2×#41×D1111yescharacteristic
1399C22D11×H(5,𝔽2)11yescharacteristic
1400C22#1062345511yescharacteristic
1401C22#1062345511yescharacteristic
1402C22#1062345711yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—222no—
1416C4—222no—
1417C4—222no—
1418C4—222no—
1419C4—222no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C2—42no—
1431C2—42no—
1432C2—81no—
1433C2—881no—
1434C2#1308190811yescharacteristic
1435C2#1308199811yescharacteristic
1436C2#1308202411yescharacteristic
1437C2#1308245311yescharacteristic
1438C2#1308253711yescharacteristic
1439C2#1308255411yescharacteristic
1440C2#1308272311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2630C2
prime radical#13072503C2
hypercenter#2630D11
hypocenterC11#35040
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13077004C2semidirect
3. #13076945C2semidirect
4. #13076924C2semidirect
5. #13074666C2semidirect
6. #13074604C2semidirect
7. #13074453C2semidirect
8. #13074282C2semidirect
9. #13074229C2semidirect
10. #13074229C2semidirect
11. #13074197C2semidirect
12. #13074138C2semidirect
13. #13074075C2semidirect
14. #13073953C2semidirect
15. #13073725C2semidirect
16. #13073449C2semidirect
17. #13073428C2semidirect
18. #13073269C2semidirect
19. #13072795C2semidirect
20. #13072790C2semidirect
21. #13072571C2semidirect
22. #13072561C2semidirect
24. #13071421C2semidirect
25. #13071413C2semidirect
26. #13071410C2semidirect
27. #13071402C2semidirect
28. #13071135C2semidirect
29. #13071056C2semidirect
30. C4×D4×Dic11C2semidirect
31. C11×#2630C2semidirect
531. #2630D11semidirect
1243. C11#35040semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130770042
#130769452
#130769242
#130746662
#130746042
#130744532
#130742822
#130742292
#130741972
#130741382
#130740752
#130739532
#130737252
#130734492
#130734282
#130732692
#130727952
#130727902
#130725712
#130725612
#130725032
#130714212
#130714132
#130714102
#130714022
#130711352
#130710562
C4×D4×Dic112
C11×#26302
#3504011