Finite Group Databasebeta

← #14961009

Subgroups — #14961009

Order 2816.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic
2#13076902C211yesmaximal, characteristic, complemented
3#13075790C211yesmaximal, characteristic, complemented
4#13075790C211yesmaximal, characteristic, complemented
5#13075771C211yesmaximal, characteristic, complemented
6#13075752C211yesmaximal, characteristic, complemented
7#13075742C211yesmaximal, characteristic, complemented
8#13075724C211yesmaximal, characteristic, complemented
9#13075663C211yesmaximal, characteristic, complemented
10#13075654C211yesmaximal, characteristic, complemented
11#13075312C211yesmaximal, characteristic, complemented
12#13075219C211yesmaximal, characteristic, complemented
13#13075187C211yesmaximal, characteristic, complemented
14#13075113C211yesmaximal, characteristic, complemented
15#13075075C211yesmaximal, characteristic, complemented
16#13075037C211yesmaximal, characteristic, complemented
17#13075012C211yesmaximal, characteristic
18#13074993C211yesmaximal, characteristic
19#13074792C211yesmaximal, characteristic, complemented
20#13074768C211yesmaximal, characteristic, complemented
21#13074136C211yesmaximal, characteristic, complemented
22#13074064C211yesmaximal, characteristic, complemented
23#13074061C211yesmaximal, characteristic, complemented
24#13072839C211yesmaximal, characteristic, complemented
25#13072817C211yesmaximal, characteristic, complemented
26#13072789C211yesmaximal, characteristic, complemented
27#13072777C211yesmaximal, characteristic, complemented
28#13071408C211yesmaximal, characteristic, complemented
29#13071370C211yesmaximal, characteristic, complemented
30#13070997C211yesmaximal, characteristic, complemented
31C11×#2576C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×#66977C2211yescharacteristic, complemented
35C2×#66951C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66942C2211yescharacteristic, complemented
39C2×#66938C2211yescharacteristic
40C2×#66936C2211yescharacteristic
41C2×#66936C2211yescharacteristic
42C2×#66931C2211yescharacteristic
43C2×#66925C2211yescharacteristic
44C2×#66925C2211yescharacteristic
45C11×#401C2211yescharacteristic, complemented
46C11×#397C2211yescharacteristic
47C11×#396C2211yescharacteristic, complemented
48C11×#394C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic, complemented
51C11×#387C2211yescharacteristic, complemented
52C11×#387C2211yescharacteristic, complemented
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#382C2211yescharacteristic, complemented
57C11×#381C2211yescharacteristic, complemented
58C4×C11×C22⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic, complemented
60#10622835C2211yescharacteristic
61#10622834C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622826C2211yescharacteristic
64#10622826C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622823C2211yescharacteristic, complemented
68C4×C22⋊Dic11C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622597C2211yescharacteristic, complemented
77#10622595C2211yescharacteristic, complemented
78#10622593C2211yescharacteristic, complemented
79#10622592C2211yescharacteristic, complemented
80#10622591C2211yescharacteristic, complemented
81C4⋊C4×Dic11C2211yescharacteristic, complemented
82#10622587C2211yescharacteristic, complemented
83#10622586C2211yescharacteristic, complemented
84#10622585C2211yescharacteristic, complemented
85#10622574C2211yescharacteristic
86#10622574C2211yescharacteristic
87#10622572C2211yescharacteristic
88#10622572C2211yescharacteristic
89#10622570C2211yescharacteristic
90#10622569C2211yescharacteristic
91#10622569C2211yescharacteristic
92#10622568C2211yescharacteristic
93#10622568C2211yescharacteristic
94#10622568C2211yescharacteristic
95#10622568C2211yescharacteristic
96#10622568C2211yescharacteristic
97#10622565C2211yescharacteristic
98#10622565C2211yescharacteristic, complemented
99#10622565C2211yescharacteristic, complemented
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic, complemented
104#10622563C2211yescharacteristic
105#10622562C2211yescharacteristic
106#10622562C2211yescharacteristic
107#10622562C2211yescharacteristic, complemented
108#10622561C2211yescharacteristic, complemented
109#10622560C2211yescharacteristic
110#10622560C2211yescharacteristic
111#10622560C2211yescharacteristic, complemented
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic, complemented
116#10622557C2211yescharacteristic, complemented
117#10622557C2211yescharacteristic, complemented
118#10622555C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622555C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125#10622546C2211yescharacteristic, complemented
126#10622546C2211yescharacteristic, complemented
127C4×Dic11⋊C4C2211yescharacteristic, complemented
128#10622542C2211yescharacteristic, complemented
129#10622541C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622287C2211yescharacteristic
137#10622286C2211yescharacteristic
138#10622286C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622277C2211yescharacteristic
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622274C2211yescharacteristic, complemented
160#10622273C2211yescharacteristic, complemented
161#10622273C2211yescharacteristic, complemented
162#10622273C2211yescharacteristic, complemented
163#10622273C2211yescharacteristic, complemented
164#10622272C2211yescharacteristic, complemented
165#10622272C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622269C2211yescharacteristic, complemented
170#10622269C2211yescharacteristic, complemented
171#10622269C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11—24no—
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊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×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
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
234#66990—42no—
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
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
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
266#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295#66951—42no—
296#66949—24no—
297#66949—42no—
298#66942—42no—
299#66938—42no—
300#66936—24no—
301#66936—42no—
302#66931—42no—
303#66925—42no—
304#66925—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
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#36733—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×D4×C11—22no—
370C2×D4×C11—41no—
371C2×D4×C11—41no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
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
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—41no—
400C22×Dic11C2411yescharacteristic
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
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—416no—
426C2×C4×D11#4114yes—
427C2×Dic22—22no—
428C2×Dic22—41no—
429C2×Dic22—41no—
430C2×Dic22—41no—
431C2×Dic22—41no—
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
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—22no—
474(C2×D11)⋊C4—41no—
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—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525#2849—111no—
526#2848—111no—
527#2745—111no—
528#2745—111no—
529#2744—111no—
530#2743—111no—
531#2742—111no—
532#2741—111no—
533#2736—111no—
534#2735—111no—
535#2707—111no—
536#2700—111no—
537#2698—111no—
538#2692—111no—
539#2690—111no—
540#2687—111no—
541#2685—111no—
542#2684—111no—
543#2665—111no—
544#2663—111no—
545#2595—111no—
546#2589—111no—
547#2589—111no—
548#2576D1111yescharacteristic, complemented
549#2478—111no—
550#2477—111no—
551#2475—111no—
552#2474—111no—
553#2335—111no—
554#2332—111no—
555#2280—111no—
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×C112−1+412yes—
570C23×C11C2511yescharacteristic
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—44no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11—44no—
588C22×D11—44no—
589C22×D11—44no—
590C22×D11C2×#4112yes—
591C22×D11H(5,𝔽2)12yes—
592D4×C11—82no—
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—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—44no—
632C2×C4×C11—82no—
633C2×C4×C11C2×#4112yes—
634C22⋊D11—82no—
635C22⋊D11—82no—
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—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—44no—
677C2×Dic11C2×#4112yes—
678C2×Dic11H(5,𝔽2)12yes—
679C4×D11—28no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—44no—
683Dic22—82no—
684Dic22—82no—
685Dic22—82no—
686C24×C4—111no—
687C2×#126—111no—
688C2×#125—111no—
689C2×#124—111no—
690C2×#123—111no—
691C2×#123—111no—
692C2×C22⋊Q8—111no—
693C2×C22⋊Q8—111no—
694C2×C22⋊Q8—111no—
695C2×C22⋊Q8—111no—
696C2×#120—111no—
697C2×#117—111no—
698C2×#117—111no—
699#401C2×D1111yescharacteristic, complemented
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#399—111no—
709#399—111no—
710#399—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#398—111no—
715#398—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397C2×D1111yescharacteristic
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396C2×D1111yescharacteristic, complemented
731#395—111no—
732#395—111no—
733#395—111no—
734#395—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394C2×D1111yescharacteristic
741#393—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#393—111no—
747#391—111no—
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391—111no—
753#390—111no—
754#390—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—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#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388C2×D1111yescharacteristic
781#388C2×D1111yescharacteristic, complemented
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387C2×D1111yescharacteristic, complemented
796#387C2×D1111yescharacteristic, complemented
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386C2×D1111yescharacteristic
803#386C2×D1111yescharacteristic
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385C2×D1111yescharacteristic
815#382C2×D1111yescharacteristic, complemented
816#381—111no—
817#381—111no—
818#381—111no—
819#381—111no—
820#381C2×D1111yescharacteristic, complemented
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#380—111no—
828#379—111no—
829#379—111no—
830#379—111no—
831#379—111no—
832#379—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4C2×D1111yescharacteristic
840C4×C22⋊C4C2×D1111yescharacteristic, complemented
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
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×C11C2×H(5,𝔽2)11yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×2−1+411yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C22×C11#58511yescharacteristic
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—416no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C4×C11—22no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890Dic11—22no—
891Dic11—22no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904C25—111no—
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8—111no—
908C22×D4—111no—
909C22×D4—111no—
910C22×D4C22×D1111yescharacteristic
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—224no—
917C23×C4—442no—
918C23×C4—442no—
919C23×C4C22×D1111yescharacteristic
920C23×C4C22×D1111yescharacteristic
921#126—442no—
922#125—442no—
923#124—442no—
924#123—224no—
925#123—442no—
926C22⋊Q8—224no—
927C22⋊Q8—442no—
928C22⋊Q8—442no—
929C22⋊Q8—442no—
930#120—442no—
931#117—442no—
932#117—442no—
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⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
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#95—111no—
1059#95—111no—
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074C2×C11—42no—
1075C2×C11—81no—
1076C2×C11#345511yescharacteristic
1077C2×C11#349011yescharacteristic
1078C2×C11#349511yescharacteristic
1079C2×C11#353311yescharacteristic
1080C2×C11#353511yescharacteristic
1081C2×C11#354011yescharacteristic
1082C2×C11#354111yescharacteristic
1083D11—42no—
1084D11—42no—
1085C24—111no—
1086C24—111no—
1087C24—222no—
1088C24—222no—
1089C24—222no—
1090C24—441no—
1091C24—441no—
1092C24—441no—
1093C24—441no—
1094C24C23×D1111yescharacteristic
1095C24C23×D1111yescharacteristic
1096C2×Q8—222no—
1097C2×Q8—441no—
1098C2×Q8—441no—
1099C2×Q8—441no—
1100C2×Q8—441no—
1101C2×Q8—441no—
1102C2×Q8—441no—
1103C2×Q8—441no—
1104C2×Q8—441no—
1105C2×D4—22no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—222no—
1109C2×D4—222no—
1110C2×D4—441no—
1111C2×D4—441no—
1112C2×D4—441no—
1113C2×D4—441no—
1114C22×C4—22no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—114no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—4416no—
1149C22×C4—441no—
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C4⋊C4—22no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C11#3673311yescharacteristic, complemented, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—112no—
1267C23—112no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—221no—
1280C23—444no—
1281C23—444no—
1282C23—444no—
1283C23—444no—
1284C23—444no—
1285C23—444no—
1286C23—444no—
1287C23#6704312yes—
1288C23C24×D1111yescharacteristic
1289Q8—882no—
1290Q8—882no—
1291Q8—882no—
1292D4—82no—
1293D4—882no—
1294D4—882no—
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—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—44no—
1334C2×C4—82no—
1335C2×C4—112no—
1336C2×C4—112no—
1337C2×C4—228no—
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—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4—444no—
1382C2×C4#41×D1112yes—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—222no—
1398C22—222no—
1399C22—222no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—4416no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22C2×#41×D1111yescharacteristic
1413C22C2×#6704311yescharacteristic
1414C22#1062345311yescharacteristic
1415C22#1062345311yescharacteristic
1416C22#1062345311yescharacteristic
1417C22D11×H(5,𝔽2)11yescharacteristic
1418C22D11×H(5,𝔽2)11yescharacteristic
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C2—42no—
1447C2—81no—
1448C2—442no—
1449C2—442no—
1450C2#1308199911yescharacteristic
1451C2#1308230211yescharacteristic
1452C2#1308235611yescharacteristic
1453C2#1308277411yescharacteristic
1454C2#1308281211yescharacteristic
1455C2#1308288511yescharacteristic
1456C2#1308289411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2576C2
prime radicalC2×#66990C22
hypercenter#2576D11
hypocenterC11#36733
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
2. #13076902C2semidirect
3. #13075790C2semidirect
4. #13075790C2semidirect
5. #13075771C2semidirect
6. #13075752C2semidirect
7. #13075742C2semidirect
8. #13075724C2semidirect
9. #13075663C2semidirect
10. #13075654C2semidirect
11. #13075312C2semidirect
12. #13075219C2semidirect
13. #13075187C2semidirect
14. #13075113C2semidirect
15. #13075075C2semidirect
16. #13075037C2semidirect
19. #13074792C2semidirect
20. #13074768C2semidirect
21. #13074136C2semidirect
22. #13074064C2semidirect
23. #13074061C2semidirect
24. #13072839C2semidirect
25. #13072817C2semidirect
26. #13072789C2semidirect
27. #13072777C2semidirect
28. #13071408C2semidirect
29. #13071370C2semidirect
30. #13070997C2semidirect
31. C11×#2576C2semidirect
34. C2×#66977C22semidirect
38. C2×#66942C22semidirect
45. C11×#401C22semidirect
47. C11×#396C22semidirect
50. C11×#388C22semidirect
51. C11×#387C22semidirect
52. C11×#387C22semidirect
56. C11×#382C22semidirect
57. C11×#381C22semidirect
59. C4×C11×C22⋊C4C22semidirect
67. #10622823C22semidirect
76. #10622597C22semidirect
77. #10622595C22semidirect
78. #10622593C22semidirect
79. #10622592C22semidirect
80. #10622591C22semidirect
81. C4⋊C4×Dic11C22semidirect
82. #10622587C22semidirect
83. #10622586C22semidirect
84. #10622585C22semidirect
98. #10622565C22semidirect
99. #10622565C22semidirect
103. #10622564C22semidirect
107. #10622562C22semidirect
108. #10622561C22semidirect
111. #10622560C22semidirect
114. #10622558C22semidirect
115. #10622558C22semidirect
116. #10622557C22semidirect
117. #10622557C22semidirect
125. #10622546C22semidirect
126. #10622546C22semidirect
127. C4×Dic11⋊C4C22semidirect
128. #10622542C22semidirect
129. #10622541C22semidirect
130. #10622541C22semidirect
159. #10622274C22semidirect
160. #10622273C22semidirect
161. #10622273C22semidirect
162. #10622273C22semidirect
163. #10622273C22semidirect
164. #10622272C22semidirect
165. #10622272C22semidirect
166. #10622271C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622269C22semidirect
170. #10622269C22semidirect
171. #10622269C22semidirect
172. #10622268C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622267C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622262C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
548. #2576D11semidirect
699. #401C2×D11semidirect
730. #396C2×D11semidirect
781. #388C2×D11semidirect
795. #387C2×D11semidirect
796. #387C2×D11semidirect
815. #382C2×D11semidirect
820. #381C2×D11semidirect
840. C4×C22⋊C4C2×D11semidirect
1252. C11#36733semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130769022
#130757902
#130757712
#130757522
#130757422
#130757242
#130756632
#130756542
#130753122
#130752192
#130751872
#130751132
#130750752
#130750372
#130750122
#130749932
#130747922
#130747682
#130741362
#130740642
#130740612
#130728392
#130728172
#130727892
#130727772
#130714082
#130713702
#130709972
C11×#25762
#3673311