Finite Group Databasebeta

← #14962356

Subgroups — #14962356

Order 2816.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076938C211yesmaximal, characteristic, complemented
2#13076917C211yesmaximal, characteristic, complemented
3#13076303C211yesmaximal, characteristic, complemented
4#13076244C211yesmaximal, characteristic, complemented
5#13076145C211yesmaximal, characteristic, complemented
6#13075954C211yesmaximal, characteristic, complemented
7#13075894C211yesmaximal, characteristic, complemented
8#13075764C211yesmaximal, characteristic, complemented
9#13075665C211yesmaximal, characteristic, complemented
10#13075652C211yesmaximal, characteristic, complemented
11#13075626C211yesmaximal, characteristic, complemented
12#13075233C211yesmaximal, characteristic, complemented
13#13075122C211yesmaximal, characteristic, complemented
14#13075041C211yesmaximal, characteristic, complemented
15#13074997C211yesmaximal, characteristic, complemented
16#13074993C211yesmaximal, characteristic, complemented
17#13074942C211yesmaximal, characteristic
18#13074901C211yesmaximal, characteristic, complemented
19#13074643C211yesmaximal, characteristic, complemented
20#13074628C211yesmaximal, characteristic, complemented
21#13074228C211yesmaximal, characteristic, complemented
22#13074131C211yesmaximal, characteristic, complemented
23#13073709C211yesmaximal, characteristic, complemented
24#13073502C211yesmaximal, characteristic, complemented
25#13073472C211yesmaximal, characteristic, complemented
26#13073457C211yesmaximal, characteristic, complemented
27#13072301C211yesmaximal, characteristic, complemented
28#13071995C211yesmaximal, characteristic, complemented
29#13071406C211yesmaximal, characteristic, complemented
30#13071211C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C2×C4×D4×C11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic, complemented
35C2×#66990C2211yescharacteristic
36C2×#66988C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C2×#66977C2211yescharacteristic, complemented
42C2×#66941C2211yescharacteristic, complemented
43C2×#66938C2211yescharacteristic
44C2×#66936C2211yescharacteristic, complemented
45C2×#66935C2211yescharacteristic
46C2×#66928C2211yescharacteristic
47C11×#388C2211yescharacteristic
48C11×#388C2211yescharacteristic
49C11×#387C2211yescharacteristic, complemented
50C11×#387C2211yescharacteristic, complemented
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#385C2211yescharacteristic, complemented
54C11×#385C2211yescharacteristic, complemented
55C4×C11×C4⋊C4C2211yescharacteristic, complemented
56C4×C11×C22⋊C4C2211yescharacteristic
57C4×C11×C22⋊C4C2211yescharacteristic, complemented
58C11×#376C2211yescharacteristic, complemented
59#10622836C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622826C2211yescharacteristic
62#10622826C2211yescharacteristic
63#10622826C2211yescharacteristic
64#10622826C2211yescharacteristic
65#10622826C2211yescharacteristic, complemented
66#10622826C2211yescharacteristic, complemented
67#10622825C2211yescharacteristic
68#10622824C2211yescharacteristic, complemented
69#10622823C2211yescharacteristic, complemented
70#10622823C2211yescharacteristic, complemented
71C4×C22⋊Dic11C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622606C2211yescharacteristic
78#10622606C2211yescharacteristic, complemented
79#10622605C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622603C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622597C2211yescharacteristic, complemented
86#10622595C2211yescharacteristic, complemented
87#10622592C2211yescharacteristic, complemented
88#10622590C2211yescharacteristic, complemented
89#10622586C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622573C2211yescharacteristic
94#10622572C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic, complemented
100#10622569C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622566C2211yescharacteristic, complemented
106#10622565C2211yescharacteristic
107#10622565C2211yescharacteristic, complemented
108#10622563C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622560C2211yescharacteristic
112#10622560C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic, complemented
116#10622557C2211yescharacteristic
117#10622556C2211yescharacteristic
118#10622555C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622552C2211yescharacteristic
135#10622552C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137#10622549C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622289C2211yescharacteristic, complemented
148#10622288C2211yescharacteristic
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622288C2211yescharacteristic
153#10622288C2211yescharacteristic, complemented
154#10622287C2211yescharacteristic
155#10622286C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622286C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622281C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622273C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C4×D4×C11—24no—
204C11×#117—42no—
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C42×C11—42no—
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66990—42no—
237#66988—42no—
238#66983—42no—
239#66982—24no—
240#66982—42no—
241C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282#66977—42no—
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306#66941—42no—
307#66938—42no—
308#66936—42no—
309#66935—42no—
310#66928—42no—
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#36784—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—41no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11#4114yes—
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
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C22×Dic11—22no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×D44—22no—
427C2×D44—41no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×Dic22—22no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
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—
454C42×C11—22no—
455C42×C11—22no—
456C42×C11—22no—
457C42×C11—41no—
458C42×C11—41no—
459C42×C11—41no—
460C42×C11—41no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
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—22no—
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—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2853—111no—
535#2850—111no—
536#2783—111no—
537#2779—111no—
538#2772—111no—
539#2757—111no—
540#2753—111no—
541#2744—111no—
542#2737—111no—
543#2735—111no—
544#2731—111no—
545#2701—111no—
546#2693—111no—
547#2687—111no—
548#2684—111no—
549#2684—111no—
550#2678—111no—
551#2674—111no—
552#2651—111no—
553#2650—111no—
554#2602—111no—
555#2595—111no—
556#2557—111no—
557#2534—111no—
558#2532—111no—
559#2531—111no—
560#2439—111no—
561#2411—111no—
562#2335—111no—
563#2312—111no—
564#2290D1111yescharacteristic, complemented
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11C2×#4112yes—
578C23×C11H(5,𝔽2)12yes—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—44no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11—82no—
608D4×C11—44no—
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—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—44no—
646C2×C4×C11—44no—
647C2×C4×C11—44no—
648C2×C4×C11—44no—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11H(5,𝔽2)12yes—
652C22⋊D11—82no—
653C22⋊D11—82no—
654C22⋊D11—82no—
655C22⋊D11—82no—
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—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
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—82no—
696D44—82no—
697D44—82no—
698C4×D11—82no—
699Dic22—82no—
700Dic22—82no—
701C2×C4⋊Q8—111no—
702C2×#124—111no—
703C2×#124—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×#123—111no—
707C2×#123—111no—
708C2×C22⋊Q8—111no—
709C2×#121—111no—
710C2×#120—111no—
711C2×#120—111no—
712C2×C4×D4C2×D1111yescharacteristic
713C2×#117C2×D1111yescharacteristic
714C22×C22⋊C4—111no—
715C22×C42C2×D1111yescharacteristic, complemented
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#399—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#396—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396—111no—
746#395—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394—111no—
757#393—111no—
758#393—111no—
759#393—111no—
760#393—111no—
761#393—111no—
762#392—111no—
763#392—111no—
764#391—111no—
765#391—111no—
766#391—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388C2×D1111yescharacteristic
805#388C2×D1111yescharacteristic
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387C2×D1111yescharacteristic, complemented
817#387C2×D1111yescharacteristic, complemented
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386C2×D1111yescharacteristic
829#386C2×D1111yescharacteristic
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385C2×D1111yescharacteristic, complemented
835#385C2×D1111yescharacteristic, complemented
836#383—111no—
837#382—111no—
838#382—111no—
839#381—111no—
840#381—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#379—111no—
846#379—111no—
847#379—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4C2×D1111yescharacteristic, complemented
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4C2×D1111yescharacteristic
854C4×C22⋊C4C2×D1111yescharacteristic, complemented
855#376C2×D1111yescharacteristic, complemented
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—41no—
898C2×D11—88no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925C25—111no—
926C22×Q8—111no—
927C22×Q8—111no—
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C22×D4—111no—
933C22×D4—111no—
934C22×D4C22×D1111yescharacteristic
935C23×C4—111no—
936C23×C4—111no—
937C23×C4C22×D1111yescharacteristic
938C23×C4C22×D1111yescharacteristic
939C23×C4C22×D1111yescharacteristic
940C23×C4C22×D1111yescharacteristic
941C4⋊Q8—442no—
942#124—442no—
943#124—442no—
944#123—224no—
945#123—442no—
946#123—442no—
947#123—442no—
948C22⋊Q8—442no—
949#121—442no—
950#120—442no—
951#120—442no—
952C4×D4—24no—
953#117—42no—
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⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—224no—
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C42—42no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
1048C2×C42C22×D1111yescharacteristic
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#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095C2×C11—42no—
1096C2×C11—42no—
1097C2×C11#345511yescharacteristic
1098C2×C11#349411yescharacteristic
1099C2×C11#350511yescharacteristic
1100C2×C11#353411yescharacteristic
1101C2×C11#354011yescharacteristic
1102C2×C11#354511yescharacteristic
1103C2×C11#356611yescharacteristic
1104D11—81no—
1105D11—81no—
1106D11—81no—
1107C24—111no—
1108C24—111no—
1109C24—111no—
1110C24—222no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24—441no—
1116C24—441no—
1117C24C23×D1111yescharacteristic
1118C24C23×D1111yescharacteristic
1119C2×Q8—222no—
1120C2×Q8—441no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—41no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—441no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—222no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4#433914yes—
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
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—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
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—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C42—22no—
1272C42—22no—
1273C42—22no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C11#3678411yescharacteristic, complemented, Sylow
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—444no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23—882no—
1322C23—882no—
1323C23—882no—
1324C23C2×#433912yes—
1325C23#6704212yes—
1326C23C24×D1111yescharacteristic
1327Q8—882no—
1328Q8—882no—
1329D4—44no—
1330D4—882no—
1331D4—882no—
1332D4—882no—
1333D4—882no—
1334D4—882no—
1335D4—882no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—882no—
1416C2×C4—882no—
1417C2×C4C2×#433912yes—
1418C2×C4C2×#433912yes—
1419C2×C4#6703712yes—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22—441no—
1452C22—441no—
1453C22—441no—
1454C22—441no—
1455C22—888no—
1456C22C22×#433911yescharacteristic
1457C22C2×#6703711yescharacteristic
1458C22C2×#6704211yescharacteristic
1459C22#1062345311yescharacteristic
1460C22#1062345311yescharacteristic
1461C22#1062345311yescharacteristic
1462C22#1062345311yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C4—441no—
1486C4—441no—
1487C4—441no—
1488C4—441no—
1489C2—42no—
1490C2—42no—
1491C2—881no—
1492C2—881no—
1493C2—881no—
1494C2#1308200111yescharacteristic
1495C2#1308235111yescharacteristic
1496C2#1308245511yescharacteristic
1497C2#1308280011yescharacteristic
1498C2#1308288411yescharacteristic
1499C2#1308296811yescharacteristic
1500C2#1308327611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2290C2
prime radical#13074942C2
hypercenter#2290D11
hypocenterC11#36784
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. #13076938C2semidirect
2. #13076917C2semidirect
3. #13076303C2semidirect
4. #13076244C2semidirect
5. #13076145C2semidirect
6. #13075954C2semidirect
7. #13075894C2semidirect
8. #13075764C2semidirect
9. #13075665C2semidirect
10. #13075652C2semidirect
11. #13075626C2semidirect
12. #13075233C2semidirect
13. #13075122C2semidirect
14. #13075041C2semidirect
15. #13074997C2semidirect
16. #13074993C2semidirect
18. #13074901C2semidirect
19. #13074643C2semidirect
20. #13074628C2semidirect
21. #13074228C2semidirect
22. #13074131C2semidirect
23. #13073709C2semidirect
24. #13073502C2semidirect
25. #13073472C2semidirect
26. #13073457C2semidirect
27. #13072301C2semidirect
28. #13071995C2semidirect
29. #13071406C2semidirect
30. #13071211C2semidirect
31. C11×#2290C2semidirect
34. C22×C42×C11C22semidirect
41. C2×#66977C22semidirect
42. C2×#66941C22semidirect
44. C2×#66936C22semidirect
49. C11×#387C22semidirect
50. C11×#387C22semidirect
53. C11×#385C22semidirect
54. C11×#385C22semidirect
55. C4×C11×C4⋊C4C22semidirect
57. C4×C11×C22⋊C4C22semidirect
58. C11×#376C22semidirect
65. #10622826C22semidirect
66. #10622826C22semidirect
68. #10622824C22semidirect
69. #10622823C22semidirect
70. #10622823C22semidirect
78. #10622606C22semidirect
83. #10622603C22semidirect
84. #10622598C22semidirect
85. #10622597C22semidirect
86. #10622595C22semidirect
87. #10622592C22semidirect
88. #10622590C22semidirect
89. #10622586C22semidirect
90. #10622585C22semidirect
99. #10622570C22semidirect
105. #10622566C22semidirect
107. #10622565C22semidirect
114. #10622558C22semidirect
115. #10622558C22semidirect
131. #10622553C22semidirect
132. #10622553C22semidirect
133. #10622553C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. #10622549C22semidirect
138. #10622546C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622546C22semidirect
143. #10622546C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. #10622542C22semidirect
146. #10622542C22semidirect
147. #10622289C22semidirect
153. #10622288C22semidirect
157. #10622286C22semidirect
161. #10622283C22semidirect
169. #10622281C22semidirect
170. #10622280C22semidirect
173. #10622273C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
564. #2290D11semidirect
715. C22×C42C2×D11semidirect
816. #387C2×D11semidirect
817. #387C2×D11semidirect
834. #385C2×D11semidirect
835. #385C2×D11semidirect
850. C4×C4⋊C4C2×D11semidirect
854. C4×C22⋊C4C2×D11semidirect
855. #376C2×D11semidirect
1283. C11#36784semidirect

Maximal subgroups

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

subgroupindex
#130769382
#130769172
#130763032
#130762442
#130761452
#130759542
#130758942
#130757642
#130756652
#130756522
#130756262
#130752332
#130751222
#130750412
#130749972
#130749932
#130749422
#130749012
#130746432
#130746282
#130742282
#130741312
#130737092
#130735022
#130734722
#130734572
#130723012
#130719952
#130714062
#130712112
C11×#22902
#3678411