Finite Group Databasebeta

← #14961656

Subgroups — #14961656

Order 2816.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic, complemented
2#13076899C211yesmaximal, characteristic, complemented
3#13076466C211yesmaximal, characteristic, complemented
4#13076283C211yesmaximal, characteristic, complemented
5#13076251C211yesmaximal, characteristic, complemented
6#13076233C211yesmaximal, characteristic, complemented
7#13076232C211yesmaximal, characteristic, complemented
8#13075936C211yesmaximal, characteristic, complemented
9#13075897C211yesmaximal, characteristic, complemented
10#13075838C211yesmaximal, characteristic, complemented
11#13075733C211yesmaximal, characteristic, complemented
12#13075610C211yesmaximal, characteristic, complemented
13#13075408C211yesmaximal, characteristic, complemented
14#13075254C211yesmaximal, characteristic, complemented
15#13075238C211yesmaximal, characteristic, complemented
16#13075168C211yesmaximal, characteristic, complemented
17#13075057C211yesmaximal, characteristic, complemented
18#13074923C211yesmaximal, characteristic, complemented
19#13074331C211yesmaximal, characteristic, complemented
20#13074331C211yesmaximal, characteristic, complemented
21#13073007C211yesmaximal, characteristic, complemented
22#13072936C211yesmaximal, characteristic, complemented
23#13072739C211yesmaximal, characteristic, complemented
24#13072165C211yesmaximal, characteristic, complemented
25#13072152C211yesmaximal, characteristic, complemented
26#13072095C211yesmaximal, characteristic, complemented
27#13072082C211yesmaximal, characteristic, complemented
28#13071276C211yesmaximal, characteristic, complemented
29#13071273C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C2×#66949C2211yescharacteristic, complemented
43C2×#66949C2211yescharacteristic, complemented
44C2×#66948C2211yescharacteristic, complemented
45C2×#66948C2211yescharacteristic, complemented
46C2×#66939C2211yescharacteristic
47C2×#66939C2211yescharacteristic
48C2×#66938C2211yescharacteristic, complemented
49C2×#66937C2211yescharacteristic, complemented
50C2×#66936C2211yescharacteristic, complemented
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×#66931C2211yescharacteristic
55C11×#397C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#397C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#380C2211yescharacteristic
65C11×#379C2211yescharacteristic
66C11×#379C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622823C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72#10622607C2211yescharacteristic, complemented
73#10622606C2211yescharacteristic, complemented
74#10622604C2211yescharacteristic, complemented
75#10622603C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic, complemented
77#10622602C2211yescharacteristic, complemented
78#10622602C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic, complemented
80#10622601C2211yescharacteristic, complemented
81#10622601C2211yescharacteristic, complemented
82#10622600C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic, complemented
85#10622599C2211yescharacteristic, complemented
86#10622598C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622595C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic, complemented
101#10622574C2211yescharacteristic, complemented
102#10622573C2211yescharacteristic
103#10622573C2211yescharacteristic
104#10622573C2211yescharacteristic
105#10622573C2211yescharacteristic
106#10622573C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622573C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic, complemented
111#10622572C2211yescharacteristic, complemented
112#10622572C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622570C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622565C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic
138#10622562C2211yescharacteristic, complemented
139#10622561C2211yescharacteristic, complemented
140#10622560C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622556C2211yescharacteristic
144#10622556C2211yescharacteristic
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622552C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic, complemented
153#10622549C2211yescharacteristic, complemented
154#10622542C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic, complemented
156#10622287C2211yescharacteristic, complemented
157#10622287C2211yescharacteristic, complemented
158#10622286C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178C11⋊#401C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11—24no—
192C22×C22⋊D11—42no—
193C22×C22⋊D11—42no—
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C11×#126—42no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4—42no—
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248#67006—42no—
249#67006—42no—
250C2×C22⋊Dic11—42no—
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261#66983—42no—
262C4×C22⋊D11—42no—
263C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66949—42no—
317#66949—42no—
318#66948—42no—
319#66948—42no—
320#66939—42no—
321#66939—42no—
322#66938—42no—
323#66937—42no—
324#66936—42no—
325#66935—24no—
326#66935—24no—
327(C22⋊D11)⋊C4—42no—
328#66931—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36758—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11#4114yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—416no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—416no—
495C2×Dic22—22no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C42×C11—41no—
521C42×C11—41no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564C4⋊Dic11—41no—
565C4⋊Dic11—41no—
566C4⋊Dic11—41no—
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571C4⋊Dic11—41no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584#2848—111no—
585#2847—111no—
586#2797—111no—
587#2781—111no—
588#2779—111no—
589#2778—111no—
590#2778—111no—
591#2756—111no—
592#2753—111no—
593#2749—111no—
594#2741—111no—
595#2730—111no—
596#2714—111no—
597#2703—111no—
598#2702—111no—
599#2696—111no—
600#2688—111no—
601#2676—111no—
602#2613—111no—
603#2613—111no—
604#2493—111no—
605#2488—111no—
606#2480D1111yescharacteristic, complemented
607#2472—111no—
608#2425—111no—
609#2424—111no—
610#2419—111no—
611#2418—111no—
612#2321—111no—
613#2321—111no—
614C2×#386—111no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11—44no—
636C23×C11—82no—
637C23×C11—82no—
638C23×C11—82no—
639C23×C11—82no—
640C23×C11C2×#4112yes—
641C23×C11H(5,𝔽2)12yes—
642C23×C11H(5,𝔽2)12yes—
643C23×C11C2511yescharacteristic
644C22×D11—28no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—44no—
715C2×C4×C11—82no—
716C2×C4×C11H(5,𝔽2)12yes—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C22⋊D11—44no—
721C22⋊D11—44no—
722C22⋊D11—44no—
723C22⋊D11—82no—
724C22⋊D11—82no—
725C22⋊D11—82no—
726C22⋊D11—82no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—44no—
763C2×Dic11—44no—
764C2×Dic11—82no—
765C2×Dic11H(5,𝔽2)12yes—
766D44—82no—
767D44—82no—
768D44—82no—
769D44—82no—
770D44—82no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—82no—
776C4×D11—82no—
777Dic22—82no—
778C23×D4—111no—
779C24×C4—111no—
780C2×#126C2×D1111yescharacteristic, complemented
781C2×#124—111no—
782C2×#123—111no—
783C2×#123—111no—
784C2×#123—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#121—111no—
791C2×#121—111no—
792C2×#120—111no—
793C2×#120—111no—
794C2×#120—111no—
795C2×#120—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C22⋊C4—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4C2×D1111yescharacteristic
801#401—111no—
802#400—111no—
803#400—111no—
804#400—111no—
805#400—111no—
806#400—111no—
807#400—111no—
808#399—111no—
809#398—111no—
810#398—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397C2×D1111yescharacteristic, complemented
818#397C2×D1111yescharacteristic, complemented
819#397C2×D1111yescharacteristic, complemented
820#396—111no—
821#396—111no—
822#396C2×D1111yescharacteristic, complemented
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394—111no—
836#394—111no—
837#394—111no—
838#393—111no—
839#393—111no—
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#392—111no—
847#392—111no—
848#392—111no—
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#389—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388C2×D1111yescharacteristic, complemented
874#388C2×D1111yescharacteristic, complemented
875#388C2×D1111yescharacteristic, complemented
876#387—111no—
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385C2×D1111yescharacteristic
912#385C2×D1111yescharacteristic
913#383—111no—
914#382—111no—
915#381—111no—
916#381—111no—
917#381—111no—
918#380—111no—
919#380—111no—
920#380—111no—
921#380—111no—
922#380—111no—
923#380—111no—
924#380C2×D1111yescharacteristic
925#379—111no—
926#379—111no—
927#379C2×D1111yescharacteristic
928#379C2×D1111yescharacteristic
929C4×C22⋊C4—111no—
930C4×C22⋊C4C2×D1111yescharacteristic
931C2×#95—111no—
932C2×#95—111no—
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—88no—
954C22×C11#53814yes—
955C22×C11C22×#4111yescharacteristic
956C22×C11C2×H(5,𝔽2)11yescharacteristic
957C22×C11C2×H(5,𝔽2)11yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11C2×H(5,𝔽2)11yescharacteristic
960C22×C11#58511yescharacteristic
961C22×C11#58511yescharacteristic
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—416no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C4×C11—22no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003Dic11—22no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015C25—111no—
1016C25C22×D1111yescharacteristic
1017C22×Q8—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C22×D4—224no—
1034C22×D4—442no—
1035C22×D4—442no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—442no—
1046C23×C4—442no—
1047C23×C4—442no—
1048C23×C4C22×D1111yescharacteristic
1049C23×C4C22×D1111yescharacteristic
1050#126—42no—
1051#124—442no—
1052#123—442no—
1053#123—442no—
1054#123—442no—
1055C22⋊Q8—442no—
1056C22⋊Q8—442no—
1057C22⋊Q8—442no—
1058#121—442no—
1059#121—442no—
1060#121—442no—
1061#121—442no—
1062#120—224no—
1063#120—224no—
1064#120—442no—
1065#120—442no—
1066C4×D4—442no—
1067C4×D4—442no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4—42no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—442no—
1134C2×C22⋊C4—442no—
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42C22×D1111yescharacteristic
1156C2×C42C22×D1111yescharacteristic
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191#95C22×D1111yescharacteristic
1192#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197C2×C11—24no—
1198C2×C11—81no—
1199C2×C11—81no—
1200C2×C11C2×#53811yescharacteristic
1201C2×C11#350511yescharacteristic
1202C2×C11#350511yescharacteristic
1203C2×C11#353211yescharacteristic
1204C2×C11#353311yescharacteristic
1205C2×C11#354211yescharacteristic
1206C2×C11#354211yescharacteristic
1207D11—42no—
1208D11—42no—
1209D11—81no—
1210D11—81no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—111no—
1219C24—111no—
1220C24—114no—
1221C24—111no—
1222C24—111no—
1223C24—222no—
1224C24—222no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24—441no—
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C24C23×D1111yescharacteristic
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—4416no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
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—222no—
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—4416no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C4⋊C4—441no—
1351C4⋊C4—441no—
1352C4⋊C4—441no—
1353C4⋊C4—441no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C42—41no—
1420C42—41no—
1421C42—441no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C11#3675811yescharacteristic, complemented, Sylow
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—112no—
1452C23—112no—
1453C23—228no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23—444no—
1484C23—444no—
1485C23—444no—
1486C23#41×D1112yes—
1487C23#6704212yes—
1488C23#6704212yes—
1489C23C24×D1111yescharacteristic
1490Q8—882no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—444no—
1497D4—882no—
1498D4—882no—
1499D4—882no—
1500D4—882no—
1501D4—882no—
1502D4—882no—
1503D4—882no—
1504D4—882no—
1505D4—882no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—82no—
1543C2×C4—112no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4—444no—
1585C2×C4—882no—
1586C2×C4—882no—
1587C2×C4—882no—
1588C2×C4#6703712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—88no—
1610C22—222no—
1611C22—222no—
1612C22—222no—
1613C22—222no—
1614C22—222no—
1615C22—222no—
1616C22—4416no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22—441no—
1631C22—441no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—441no—
1639C22#1062323514yes—
1640C22C2×#6703711yescharacteristic
1641C22C2×#41×D1111yescharacteristic
1642C22C2×#6704211yescharacteristic
1643C22C2×#6704211yescharacteristic
1644C22#1062345311yescharacteristic
1645C22D11×H(5,𝔽2)11yescharacteristic
1646C22#1062345511yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—222no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C4—441no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—442no—
1675C2—442no—
1676C2—881no—
1677C2—881no—
1678C2C2×#1062323511yescharacteristic
1679C2#1308244411yescharacteristic
1680C2#1308245411yescharacteristic
1681C2#1308276511yescharacteristic
1682C2#1308278811yescharacteristic
1683C2#1308291811yescharacteristic
1684C2#1308292511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
hypercenter#2480D11
hypocenterC11#36758
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #13076902C2semidirect
2. #13076899C2semidirect
3. #13076466C2semidirect
4. #13076283C2semidirect
5. #13076251C2semidirect
6. #13076233C2semidirect
7. #13076232C2semidirect
8. #13075936C2semidirect
9. #13075897C2semidirect
10. #13075838C2semidirect
11. #13075733C2semidirect
12. #13075610C2semidirect
13. #13075408C2semidirect
14. #13075254C2semidirect
15. #13075238C2semidirect
16. #13075168C2semidirect
17. #13075057C2semidirect
18. #13074923C2semidirect
19. #13074331C2semidirect
20. #13074331C2semidirect
21. #13073007C2semidirect
22. #13072936C2semidirect
23. #13072739C2semidirect
24. #13072165C2semidirect
25. #13072152C2semidirect
26. #13072095C2semidirect
27. #13072082C2semidirect
28. #13071276C2semidirect
29. #13071273C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2480C2semidirect
34. C2×C11×#126C22semidirect
42. C2×#66949C22semidirect
43. C2×#66949C22semidirect
44. C2×#66948C22semidirect
45. C2×#66948C22semidirect
48. C2×#66938C22semidirect
49. C2×#66937C22semidirect
50. C2×#66936C22semidirect
55. C11×#397C22semidirect
56. C11×#397C22semidirect
57. C11×#397C22semidirect
58. C11×#396C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
72. #10622607C22semidirect
73. #10622606C22semidirect
74. #10622604C22semidirect
75. #10622603C22semidirect
76. #10622603C22semidirect
77. #10622602C22semidirect
78. #10622602C22semidirect
79. #10622602C22semidirect
80. #10622601C22semidirect
81. #10622601C22semidirect
82. #10622600C22semidirect
83. #10622600C22semidirect
84. #10622600C22semidirect
85. #10622599C22semidirect
86. #10622598C22semidirect
87. #10622597C22semidirect
88. #10622595C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622591C22semidirect
100. #10622574C22semidirect
101. #10622574C22semidirect
110. #10622573C22semidirect
111. #10622572C22semidirect
112. #10622572C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
118. #10622570C22semidirect
119. #10622570C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
132. #10622565C22semidirect
133. #10622565C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
138. #10622562C22semidirect
139. #10622561C22semidirect
140. #10622560C22semidirect
141. #10622558C22semidirect
142. #10622557C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. #10622552C22semidirect
152. #10622552C22semidirect
153. #10622549C22semidirect
154. #10622542C22semidirect
155. #10622288C22semidirect
156. #10622287C22semidirect
157. #10622287C22semidirect
158. #10622286C22semidirect
159. #10622283C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622280C22semidirect
167. #10622280C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622277C22semidirect
178. C11⋊#401C22semidirect
179. #10622274C22semidirect
180. #10622273C22semidirect
181. #10622273C22semidirect
182. #10622272C22semidirect
183. #10622272C22semidirect
184. #10622268C22semidirect
185. #10622267C22semidirect
186. #10622264C22semidirect
606. #2480D11semidirect
780. C2×#126C2×D11semidirect
817. #397C2×D11semidirect
818. #397C2×D11semidirect
819. #397C2×D11semidirect
822. #396C2×D11semidirect
873. #388C2×D11semidirect
874. #388C2×D11semidirect
875. #388C2×D11semidirect
1425. C11#36758semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130768992
#130764662
#130762832
#130762512
#130762332
#130762322
#130759362
#130758972
#130758382
#130757332
#130756102
#130754082
#130752542
#130752382
#130751682
#130750572
#130749232
#130743312
#130730072
#130729362
#130727392
#130721652
#130721522
#130720952
#130720822
#130712762
#130712732
C2×#106225692
C11×#24802
#3675811