Finite Group Databasebeta

← #14961084

Subgroups — #14961084

Order 2816.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076899C211yesmaximal, characteristic, complemented
3#13075723C211yesmaximal, characteristic, complemented
4#13075700C211yesmaximal, characteristic, complemented
5#13075666C211yesmaximal, characteristic, complemented
6#13075666C211yesmaximal, characteristic, complemented
7#13075452C211yesmaximal, characteristic, complemented
8#13075259C211yesmaximal, characteristic, complemented
9#13075181C211yesmaximal, characteristic, complemented
10#13075164C211yesmaximal, characteristic, complemented
11#13075126C211yesmaximal, characteristic, complemented
12#13075059C211yesmaximal, characteristic, complemented
13#13075025C211yesmaximal, characteristic, complemented
14#13074998C211yesmaximal, characteristic, complemented
15#13074939C211yesmaximal, characteristic, complemented
16#13074870C211yesmaximal, characteristic, complemented
17#13074840C211yesmaximal, characteristic, complemented
18#13074793C211yesmaximal, characteristic, complemented
19#13074749C211yesmaximal, characteristic, complemented
20#13074173C211yesmaximal, characteristic, complemented
21#13073956C211yesmaximal, characteristic, complemented
22#13073710C211yesmaximal, characteristic, complemented
23#13073710C211yesmaximal, characteristic, complemented
24#13072812C211yesmaximal, characteristic, complemented
25#13072805C211yesmaximal, characteristic, complemented
26#13072776C211yesmaximal, characteristic, complemented
27#13072725C211yesmaximal, characteristic, complemented
28#13071405C211yesmaximal, characteristic, complemented
29#13071380C211yesmaximal, characteristic, complemented
30#13070998C211yesmaximal, characteristic, complemented
31C11×#2747C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66983C2211yescharacteristic
34C2×#66950C2211yescharacteristic, complemented
35C2×#66948C2211yescharacteristic
36C2×#66948C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×#66947C2211yescharacteristic, complemented
41C2×#66945C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×#66938C2211yescharacteristic
44C2×#66938C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66935C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×#66935C2211yescharacteristic
50C2×#66928C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic
56C11×#397C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#380C2211yescharacteristic
65C11×#380C2211yescharacteristic
66#10622826C2211yescharacteristic
67#10622825C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic, complemented
71#10622606C2211yescharacteristic, complemented
72#10622606C2211yescharacteristic, complemented
73#10622606C2211yescharacteristic, complemented
74#10622604C2211yescharacteristic
75#10622604C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622604C2211yescharacteristic, complemented
78#10622604C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic, complemented
85#10622601C2211yescharacteristic
86#10622601C2211yescharacteristic, complemented
87#10622601C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622598C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622592C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622573C2211yescharacteristic
102#10622573C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622559C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116#10622553C2211yescharacteristic, complemented
117#10622552C2211yescharacteristic
118#10622552C2211yescharacteristic
119#10622552C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
121#10622550C2211yescharacteristic, complemented
122C4×Dic11⋊C4C2211yescharacteristic, complemented
123#10622290C2211yescharacteristic, complemented
124#10622289C2211yescharacteristic
125#10622288C2211yescharacteristic, complemented
126#10622288C2211yescharacteristic, complemented
127#10622288C2211yescharacteristic, complemented
128#10622287C2211yescharacteristic
129#10622287C2211yescharacteristic, complemented
130#10622286C2211yescharacteristic
131#10622286C2211yescharacteristic
132#10622286C2211yescharacteristic
133#10622286C2211yescharacteristic, complemented
134#10622286C2211yescharacteristic, complemented
135#10622285C2211yescharacteristic
136#10622285C2211yescharacteristic
137#10622285C2211yescharacteristic
138#10622284C2211yescharacteristic
139#10622284C2211yescharacteristic
140#10622284C2211yescharacteristic
141#10622284C2211yescharacteristic, complemented
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic, complemented
145#10622283C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic, complemented
147#10622283C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic, complemented
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622277C2211yescharacteristic
177#10622273C2211yescharacteristic, complemented
178#10622272C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235#66983—42no—
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×(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×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66950—42no—
303#66948—24no—
304#66948—42no—
305#66948—42no—
306#66947—24no—
307#66947—42no—
308#66947—42no—
309#66945—42no—
310#66945—42no—
311#66938—42no—
312#66938—42no—
313#66936—42no—
314#66936—42no—
315#66935—42no—
316#66935—42no—
317#66935—42no—
318#66928—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36735—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
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
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×D44—41no—
433C2×D44—41no—
434C2×D44—41no—
435C2×D44—41no—
436C2×D44—41no—
437C2×D44—41no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44—41no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—416no—
465C2×C4×D11#4114yes—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C42×C11—41no—
489C42×C11—41no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—41no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538C4⋊Dic11—22no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545Dic11⋊C4—22no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2849—111no—
560#2847—111no—
561#2747D1111yescharacteristic, complemented
562#2740—111no—
563#2739—111no—
564#2737—111no—
565#2737—111no—
566#2717—111no—
567#2703—111no—
568#2697—111no—
569#2696—111no—
570#2693—111no—
571#2688—111no—
572#2686—111no—
573#2684—111no—
574#2678—111no—
575#2672—111no—
576#2670—111no—
577#2665—111no—
578#2661—111no—
579#2597—111no—
580#2578—111no—
581#2557—111no—
582#2557—111no—
583#2477—111no—
584#2476—111no—
585#2474—111no—
586#2471—111no—
587#2335—111no—
588#2333—111no—
589#2280—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11H(5,𝔽2)12yes—
597C23×C11C2511yescharacteristic
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11—44no—
638C22×D11C2×#4112yes—
639C22×D11H(5,𝔽2)12yes—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—44no—
681C2×C4×C11C2×#4112yes—
682C2×C4×C11H(5,𝔽2)12yes—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C22⋊D11—82no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—44no—
719C2×Dic11C2×#4112yes—
720D44—82no—
721D44—82no—
722D44—82no—
723D44—82no—
724D44—82no—
725D44—82no—
726D44—82no—
727D44—82no—
728D44—82no—
729C4×D11—28no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—82no—
734C4×D11—82no—
735C4×D11—82no—
736Dic22—82no—
737Dic22—82no—
738C24×C4—111no—
739C2×#124—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×#123—111no—
746C2×#123—111no—
747C2×C22⋊Q8—111no—
748C2×#121—111no—
749C2×#121—111no—
750C2×#121—111no—
751C2×#121—111no—
752C2×#120—111no—
753C2×#120—111no—
754C2×#120—111no—
755C2×#117—111no—
756C2×#117—111no—
757#400—111no—
758#400—111no—
759#400—111no—
760#400C2×D1111yescharacteristic, complemented
761#400C2×D1111yescharacteristic, complemented
762#399—111no—
763#398C2×D1111yescharacteristic, complemented
764#398C2×D1111yescharacteristic, complemented
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#397C2×D1111yescharacteristic
776#397C2×D1111yescharacteristic
777#396—111no—
778#396—111no—
779#396—111no—
780#396—111no—
781#395—111no—
782#395—111no—
783#395—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#393—111no—
795#393—111no—
796#393—111no—
797#393—111no—
798#393—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#392—111no—
805#391—111no—
806#391—111no—
807#390—111no—
808#390—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#389—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388C2×D1111yescharacteristic
830#388C2×D1111yescharacteristic
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387C2×D1111yescharacteristic, complemented
840#387C2×D1111yescharacteristic, complemented
841#387C2×D1111yescharacteristic, complemented
842#387C2×D1111yescharacteristic, complemented
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385C2×D1111yescharacteristic
869#383—111no—
870#381—111no—
871#381—111no—
872#381—111no—
873#381—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#380—111no—
880#380C2×D1111yescharacteristic
881#380C2×D1111yescharacteristic
882#379—111no—
883#379—111no—
884#379—111no—
885C4×C4⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11C22×#4111yescharacteristic
901C22×C11C2×H(5,𝔽2)11yescharacteristic
902C22×C11C2×H(5,𝔽2)11yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11#58511yescharacteristic
905C22×C11#58511yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—416no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957Dic11—22no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968C25—111no—
969C22×Q8—111no—
970C22×Q8—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—224no—
992C23×C4—442no—
993C23×C4—442no—
994C23×C4C22×D1111yescharacteristic
995#124—442no—
996#124—442no—
997#124—442no—
998#123—224no—
999#123—442no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—442no—
1004#121—224no—
1005#121—442no—
1006#121—442no—
1007#121—442no—
1008#120—442no—
1009#120—442no—
1010#120—442no—
1011#117—442no—
1012#117—442no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—42no—
1145C2×C11#345511yescharacteristic
1146C2×C11#349011yescharacteristic
1147C2×C11#349411yescharacteristic
1148C2×C11#353311yescharacteristic
1149C2×C11#353411yescharacteristic
1150C2×C11#354011yescharacteristic
1151C2×C11#354211yescharacteristic
1152D11—42no—
1153D11—42no—
1154D11—81no—
1155D11—81no—
1156D11—81no—
1157C24—111no—
1158C24—111no—
1159C24—111no—
1160C24—111no—
1161C24—111no—
1162C24—222no—
1163C24—222no—
1164C24—222no—
1165C24—441no—
1166C24—441no—
1167C24—441no—
1168C24—441no—
1169C24C23×D1111yescharacteristic
1170C2×Q8—441no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×Q8—441no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—111no—
1216C22×C4—114no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—4416no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C42—41no—
1344C42—41no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C42—441no—
1351C42—441no—
1352C11#3673511yescharacteristic, complemented, Sylow
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—112no—
1360C23—112no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—444no—
1395C23—444no—
1396C23—444no—
1397C23—444no—
1398C23—444no—
1399C23—444no—
1400C23—444no—
1401C23#6704212yes—
1402C23C24×D1111yescharacteristic
1403Q8—882no—
1404Q8—882no—
1405D4—882no—
1406D4—882no—
1407D4—882no—
1408D4—882no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413D4—882no—
1414D4—882no—
1415D4—882no—
1416D4—882no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—112no—
1459C2×C4—228no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—444no—
1496C2×C4—882no—
1497C2×C4—882no—
1498C2×C4—882no—
1499C2×C4#41×D1112yes—
1500C2×C4#6704212yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—222no—
1509C22—222no—
1510C22—222no—
1511C22—222no—
1512C22—222no—
1513C22—222no—
1514C22—4416no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22C2×#41×D1111yescharacteristic
1545C22C2×#6704211yescharacteristic
1546C22C2×#6704211yescharacteristic
1547C22D11×H(5,𝔽2)11yescharacteristic
1548C22#1062345511yescharacteristic
1549C22#1062345711yescharacteristic
1550C22#1062345711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—222no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C2—42no—
1577C2—442no—
1578C2—442no—
1579C2—881no—
1580C2—881no—
1581C2—881no—
1582C2#1308200711yescharacteristic
1583C2#1308230011yescharacteristic
1584C2#1308234711yescharacteristic
1585C2#1308277811yescharacteristic
1586C2#1308281111yescharacteristic
1587C2#1308288811yescharacteristic
1588C2#1308292611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2747C2
hypercenter#2747D11
hypocenterC11#36735
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2747

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076899C2semidirect
3. #13075723C2semidirect
4. #13075700C2semidirect
5. #13075666C2semidirect
6. #13075666C2semidirect
7. #13075452C2semidirect
8. #13075259C2semidirect
9. #13075181C2semidirect
10. #13075164C2semidirect
11. #13075126C2semidirect
12. #13075059C2semidirect
13. #13075025C2semidirect
14. #13074998C2semidirect
15. #13074939C2semidirect
16. #13074870C2semidirect
17. #13074840C2semidirect
18. #13074793C2semidirect
19. #13074749C2semidirect
20. #13074173C2semidirect
21. #13073956C2semidirect
22. #13073710C2semidirect
23. #13073710C2semidirect
24. #13072812C2semidirect
25. #13072805C2semidirect
26. #13072776C2semidirect
27. #13072725C2semidirect
28. #13071405C2semidirect
29. #13071380C2semidirect
30. #13070998C2semidirect
31. C11×#2747C2semidirect
34. C2×#66950C22semidirect
40. C2×#66947C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#398C22semidirect
54. C11×#398C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
62. C11×#387C22semidirect
70. #10622607C22semidirect
71. #10622606C22semidirect
72. #10622606C22semidirect
73. #10622606C22semidirect
77. #10622604C22semidirect
78. #10622604C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
84. #10622602C22semidirect
86. #10622601C22semidirect
87. #10622601C22semidirect
92. #10622598C22semidirect
93. #10622594C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622592C22semidirect
98. #10622591C22semidirect
116. #10622553C22semidirect
120. C4×(C2×D11)⋊C4C22semidirect
121. #10622550C22semidirect
122. C4×Dic11⋊C4C22semidirect
123. #10622290C22semidirect
125. #10622288C22semidirect
126. #10622288C22semidirect
127. #10622288C22semidirect
129. #10622287C22semidirect
133. #10622286C22semidirect
134. #10622286C22semidirect
141. #10622284C22semidirect
144. #10622283C22semidirect
145. #10622283C22semidirect
146. #10622283C22semidirect
147. #10622283C22semidirect
150. #10622282C22semidirect
151. #10622282C22semidirect
152. #10622281C22semidirect
153. #10622280C22semidirect
156. #10622279C22semidirect
157. #10622279C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
177. #10622273C22semidirect
178. #10622272C22semidirect
179. #10622271C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
561. #2747D11semidirect
760. #400C2×D11semidirect
761. #400C2×D11semidirect
763. #398C2×D11semidirect
764. #398C2×D11semidirect
839. #387C2×D11semidirect
840. #387C2×D11semidirect
841. #387C2×D11semidirect
842. #387C2×D11semidirect
1352. C11#36735semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130768992
#130757232
#130757002
#130756662
#130754522
#130752592
#130751812
#130751642
#130751262
#130750592
#130750252
#130749982
#130749392
#130748702
#130748402
#130747932
#130747492
#130741732
#130739562
#130737102
#130728122
#130728052
#130727762
#130727252
#130714052
#130713802
#130709982
C11×#27472
#3673511