Finite Group Databasebeta

← #14961011

Subgroups — #14961011

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#13076905C211yesmaximal, characteristic
2#13076900C211yesmaximal, characteristic, complemented
3#13075792C211yesmaximal, characteristic, complemented
4#13075787C211yesmaximal, characteristic, complemented
5#13075772C211yesmaximal, characteristic, complemented
6#13075762C211yesmaximal, characteristic, complemented
7#13075744C211yesmaximal, characteristic, complemented
8#13075730C211yesmaximal, characteristic, complemented
9#13075663C211yesmaximal, characteristic, complemented
10#13075656C211yesmaximal, characteristic, complemented
11#13075326C211yesmaximal, characteristic, complemented
12#13075221C211yesmaximal, characteristic, complemented
13#13075197C211yesmaximal, characteristic, complemented
14#13075111C211yesmaximal, characteristic, complemented
15#13075081C211yesmaximal, characteristic, complemented
16#13075043C211yesmaximal, characteristic, complemented
17#13075006C211yesmaximal, characteristic
18#13074991C211yesmaximal, characteristic
19#13074786C211yesmaximal, characteristic, complemented
20#13074142C211yesmaximal, characteristic, complemented
21#13074072C211yesmaximal, characteristic, complemented
22#13074072C211yesmaximal, characteristic, complemented
23#13073925C211yesmaximal, characteristic, complemented
24#13072837C211yesmaximal, characteristic, complemented
25#13072822C211yesmaximal, characteristic, complemented
26#13072792C211yesmaximal, characteristic, complemented
27#13072777C211yesmaximal, characteristic, complemented
28#13071410C211yesmaximal, characteristic, complemented
29#13071374C211yesmaximal, characteristic, complemented
30#13070997C211yesmaximal, characteristic, complemented
31C11×#2663C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×#66951C2211yescharacteristic
40C2×#66942C2211yescharacteristic, complemented
41C2×#66938C2211yescharacteristic
42C2×#66931C2211yescharacteristic, complemented
43C2×#66925C2211yescharacteristic
44C2×#66925C2211yescharacteristic
45C11×#400C2211yescharacteristic, complemented
46C11×#399C2211yescharacteristic, complemented
47C11×#397C2211yescharacteristic
48C11×#397C2211yescharacteristic
49C11×#395C2211yescharacteristic, complemented
50C11×#394C2211yescharacteristic
51C11×#394C2211yescharacteristic
52C11×#393C2211yescharacteristic, complemented
53C11×#389C2211yescharacteristic, complemented
54C11×#389C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic, complemented
57C4×C11×C22⋊C4C2211yescharacteristic
58#10622843C2211yescharacteristic, complemented
59#10622843C2211yescharacteristic, complemented
60#10622834C2211yescharacteristic
61#10622833C2211yescharacteristic
62#10622825C2211yescharacteristic
63#10622824C2211yescharacteristic
64C4×C22⋊Dic11C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622606C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622603C2211yescharacteristic
69#10622603C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622599C2211yescharacteristic, complemented
83#10622599C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622597C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622596C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622593C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622565C2211yescharacteristic, complemented
116#10622565C2211yescharacteristic, complemented
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622564C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622564C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic, complemented
130#10622560C2211yescharacteristic
131#10622560C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622557C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622556C2211yescharacteristic
137#10622556C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143#10622546C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622290C2211yescharacteristic
148#10622290C2211yescharacteristic
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622287C2211yescharacteristic
154#10622286C2211yescharacteristic
155#10622286C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167C11⋊#401C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622269C2211yescharacteristic, complemented
176#10622269C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11—24no—
196C22×C4×D11—42no—
197C22×C4×D11—42no—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C11×#123—24no—
205C11×C22⋊Q8—24no—
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
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
239#66999—42no—
240#66999—42no—
241#66990—42no—
242#66988—42no—
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
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
299#66951—42no—
300#66942—42no—
301#66938—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×Q8×C11—22no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11#4114yes—
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×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
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
416C22×Dic11C2411yescharacteristic
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—416no—
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—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C42×C11—41no—
457C42×C11—41no—
458C22⋊Dic11—22no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
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—22no—
476(C2×D11)⋊C4—22no—
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—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
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—
516C4×Dic11—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#2663D1111yescharacteristic, complemented
545#2595—111no—
546#2589—111no—
547#2589—111no—
548#2576—111no—
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×C11C2×#4112yes—
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×D11H(5,𝔽2)12yes—
591C22×D112−1+412yes—
592Q8×C11—82no—
593D4×C11—82no—
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×C11C2×#4112yes—
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—21no—
677C2×Dic11—44no—
678C2×Dic11—82no—
679C2×Dic11H(5,𝔽2)12yes—
680C4×D11—28no—
681C4×D11—44no—
682C4×D11—44no—
683C4×D11—44no—
684Dic22—82no—
685Dic22—82no—
686C24×C4—111no—
687C2×#126—111no—
688C2×#125—111no—
689C2×#124—111no—
690C2×#123—111no—
691C2×#123C2×D1111yescharacteristic
692C2×C22⋊Q8—111no—
693C2×C22⋊Q8—111no—
694C2×C22⋊Q8—111no—
695C2×C22⋊Q8C2×D1111yescharacteristic
696C2×#120—111no—
697C2×#117—111no—
698C2×#117—111no—
699#401—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400C2×D1111yescharacteristic, complemented
708#399—111no—
709#399—111no—
710#399C2×D1111yescharacteristic, complemented
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#397C2×D1111yescharacteristic
725#397C2×D1111yescharacteristic
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396—111no—
731#395—111no—
732#395—111no—
733#395—111no—
734#395C2×D1111yescharacteristic, complemented
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394C2×D1111yescharacteristic
740#394C2×D1111yescharacteristic
741#393—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#393C2×D1111yescharacteristic, complemented
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#389C2×D1111yescharacteristic, complemented
758#389C2×D1111yescharacteristic, complemented
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, complemented
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#387—111no—
796#387—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
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#385—111no—
815#382—111no—
816#381—111no—
817#381—111no—
818#381—111no—
819#381—111no—
820#381—111no—
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⋊C4—111no—
840C4×C22⋊C4C2×D1111yescharacteristic
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—22no—
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—41no—
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×Q8C22×D1111yescharacteristic
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—111no—
917C23×C4—224no—
918C23×C4—442no—
919C23×C4—442no—
920C23×C4C22×D1111yescharacteristic
921#126—442no—
922#125—442no—
923#124—442no—
924#123—24no—
925#123—442no—
926C22⋊Q8—24no—
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⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4C22×D1111yescharacteristic
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×C42—111no—
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#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
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—22no—
1097C2×Q8—41no—
1098C2×Q8—41no—
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—41no—
1115C22×C4—41no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—4416no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4#434114yes—
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—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
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—22no—
1201C22⋊C4—22no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
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—441no—
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—441no—
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—
1287C23C2×#434112yes—
1288C23C24×D1111yescharacteristic
1289Q8—82no—
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—44no—
1333C2×C4—112no—
1334C2×C4—228no—
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—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—444no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—882no—
1381C2×C4C2×#434112yes—
1382C2×C4C2×#434112yes—
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—
1412C22C22×#434111yescharacteristic
1413C22#1062345311yescharacteristic
1414C22#1062345311yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22D11×H(5,𝔽2)11yescharacteristic
1417C22D11×2−1+411yescharacteristic
1418C22#1062345711yescharacteristic
1419C4—22no—
1420C4—22no—
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—441no—
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#1308200511yescharacteristic
1451C2#1308230411yescharacteristic
1452C2#1308236511yescharacteristic
1453C2#1308277911yescharacteristic
1454C2#1308282411yescharacteristic
1455C2#1308288111yescharacteristic
1456C2#1308290811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2663C2
prime radicalC2×#66990C22
hypercenter#2663D11
hypocenterC11#36733
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
2. #13076900C2semidirect
3. #13075792C2semidirect
4. #13075787C2semidirect
5. #13075772C2semidirect
6. #13075762C2semidirect
7. #13075744C2semidirect
8. #13075730C2semidirect
9. #13075663C2semidirect
10. #13075656C2semidirect
11. #13075326C2semidirect
12. #13075221C2semidirect
13. #13075197C2semidirect
14. #13075111C2semidirect
15. #13075081C2semidirect
16. #13075043C2semidirect
19. #13074786C2semidirect
20. #13074142C2semidirect
21. #13074072C2semidirect
22. #13074072C2semidirect
23. #13073925C2semidirect
24. #13072837C2semidirect
25. #13072822C2semidirect
26. #13072792C2semidirect
27. #13072777C2semidirect
28. #13071410C2semidirect
29. #13071374C2semidirect
30. #13070997C2semidirect
31. C11×#2663C2semidirect
40. C2×#66942C22semidirect
42. C2×#66931C22semidirect
45. C11×#400C22semidirect
46. C11×#399C22semidirect
49. C11×#395C22semidirect
52. C11×#393C22semidirect
53. C11×#389C22semidirect
54. C11×#389C22semidirect
55. C11×#388C22semidirect
56. C11×#388C22semidirect
58. #10622843C22semidirect
59. #10622843C22semidirect
82. #10622599C22semidirect
83. #10622599C22semidirect
84. #10622598C22semidirect
85. #10622597C22semidirect
86. #10622597C22semidirect
87. #10622596C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622594C22semidirect
94. #10622593C22semidirect
95. #10622591C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. C4⋊C4×Dic11C22semidirect
115. #10622565C22semidirect
116. #10622565C22semidirect
123. #10622564C22semidirect
124. #10622564C22semidirect
125. #10622563C22semidirect
128. #10622561C22semidirect
129. #10622561C22semidirect
134. #10622557C22semidirect
135. #10622557C22semidirect
137. #10622556C22semidirect
140. C22⋊C4×Dic11C22semidirect
143. #10622546C22semidirect
144. #10622546C22semidirect
145. #10622542C22semidirect
146. #10622542C22semidirect
167. C11⋊#401C22semidirect
168. #10622273C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622271C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622269C22semidirect
175. #10622269C22semidirect
176. #10622269C22semidirect
177. #10622268C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
544. #2663D11semidirect
707. #400C2×D11semidirect
710. #399C2×D11semidirect
734. #395C2×D11semidirect
746. #393C2×D11semidirect
757. #389C2×D11semidirect
758. #389C2×D11semidirect
780. #388C2×D11semidirect
781. #388C2×D11semidirect
1252. C11#36733semidirect

Maximal subgroups

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

subgroupindex
#130769052
#130769002
#130757922
#130757872
#130757722
#130757622
#130757442
#130757302
#130756632
#130756562
#130753262
#130752212
#130751972
#130751112
#130750812
#130750432
#130750062
#130749912
#130747862
#130741422
#130740722
#130739252
#130728372
#130728222
#130727922
#130727772
#130714102
#130713742
#130709972
C11×#26632
#3673311