Finite Group Databasebeta

← #14927060

Subgroups — #14927060

Order 2816.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076985C211yesmaximal, characteristic, complemented
2#13076982C211yesmaximal, characteristic, complemented
3#13076944C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13074655C211yesmaximal, characteristic, complemented
6#13074653C211yesmaximal, characteristic, complemented
7#13074598C211yesmaximal, characteristic, complemented
8#13074113C211yesmaximal, characteristic, complemented
9#13074108C211yesmaximal, characteristic, complemented
10#13073677C211yesmaximal, characteristic, complemented
11#13073669C211yesmaximal, characteristic, complemented
12#13073206C211yesmaximal, characteristic, complemented
13#13072961C211yesmaximal, characteristic, complemented
14#13072863C211yesmaximal, characteristic, complemented
15#13072855C211yesmaximal, characteristic, complemented
16#13072407C211yesmaximal, characteristic, complemented
17#13072333C211yesmaximal, characteristic, complemented
18#13072262C211yesmaximal, characteristic, complemented
19#13072175C211yesmaximal, characteristic, complemented
20#13072073C211yesmaximal, characteristic, complemented
21#13072071C211yesmaximal, characteristic, complemented
22#13072060C211yesmaximal, characteristic, complemented
23#13071965C211yesmaximal, characteristic
24#13071272C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic, complemented
26#13071210C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28#13071150C211yesmaximal, characteristic, complemented
29D11×#390C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66988C2211yescharacteristic, complemented
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic, complemented
40C2×#66951C2211yescharacteristic, complemented
41C2×#66949C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×#66942C2211yescharacteristic, complemented
44C2×#66940C2211yescharacteristic, complemented
45C2×#66939C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×#66932C2211yescharacteristic, complemented
55C2×#66931C2211yescharacteristic, complemented
56C2×C42×D11C2211yescharacteristic
57C11×#400C2211yescharacteristic, complemented
58C11×#397C2211yescharacteristic, complemented
59C11×#397C2211yescharacteristic, complemented
60C11×#396C2211yescharacteristic, complemented
61C11×#394C2211yescharacteristic
62C11×#394C2211yescharacteristic, complemented
63C11×#394C2211yescharacteristic, complemented
64C11×#392C2211yescharacteristic
65C11×#390C2211yescharacteristic
66C11×#388C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic, complemented
71C4×C11×C22⋊C4C2211yescharacteristic, complemented
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622834C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic, complemented
78#10622826C2211yescharacteristic, complemented
79#10622826C2211yescharacteristic, complemented
80#10622607C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic, complemented
82#10622604C2211yescharacteristic
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic
87#10622601C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622597C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622596C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622585C2211yescharacteristic, complemented
95#10622573C2211yescharacteristic
96#10622572C2211yescharacteristic, complemented
97#10622572C2211yescharacteristic, complemented
98#10622571C2211yescharacteristic, complemented
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622565C2211yescharacteristic, complemented
118#10622565C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic, complemented
124#10622562C2211yescharacteristic, complemented
125#10622561C2211yescharacteristic, complemented
126#10622561C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622552C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144#10622546C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146C42×Dic11C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic, complemented
148#10622288C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic, complemented
150#10622287C2211yescharacteristic, complemented
151#10622285C2211yescharacteristic
152#10622285C2211yescharacteristic
153#10622283C2211yescharacteristic, complemented
154#10622283C2211yescharacteristic, complemented
155#10622283C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622279C2211yescharacteristic
175#10622274C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—42no—
202C2×D4×D11—42no—
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#66992—42no—
247#66992—42no—
248#66990—24no—
249#66990—24no—
250#66988—42no—
251C4×C22⋊D11—24no—
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×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×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×C4×Dic11—42no—
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66951—42no—
321#66949—24no—
322C4⋊C4×D11—42no—
323#66942—42no—
324#66940—42no—
325#66939—42no—
326#66938—42no—
327#66938—42no—
328(C22⋊D11)⋊C4—24no—
329(C22⋊D11)⋊C4—24no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11—24no—
332C22⋊C4×D11—42no—
333C22⋊C4×D11—42no—
334#66932—42no—
335#66931—42no—
336C42×D11—42no—
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#35025—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11#4114yes—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—41no—
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448D4×D11—416no—
449C2×D44—22no—
450C2×D44—41no—
451C2×D44—41no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
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—41no—
465C2×C4×D11#4114yes—
466C2×C4×D11#4114yes—
467C2×Dic22—22no—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C42×C11—41no—
490C42×C11—41no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
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—
535C4⋊Dic11—22no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573#2861—111no—
574#2860—111no—
575#2854—111no—
576#2850—111no—
577#2651—111no—
578#2651—111no—
579#2648—111no—
580#2648D1111yescharacteristic, complemented
581#2593—111no—
582#2593—111no—
583#2554—111no—
584#2554—111no—
585#2513—111no—
586#2490—111no—
587#2480—111no—
588#2480—111no—
589#2448—111no—
590#2442—111no—
591#2435—111no—
592#2426—111no—
593#2418—111no—
594#2418—111no—
595#2417—111no—
596#2408—111no—
597#2321—111no—
598#2321—111no—
599#2312—111no—
600#2312—111no—
601C4×C22⋊Q8—111no—
602C2×#390—111no—
603C42×D4—111no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
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×C11C2×#4112yes—
625C23×C11C2511yescharacteristic
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661D4×C11—44no—
662D4×C11—82no—
663D4×C11—82no—
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—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—44no—
699C2×C4×C11C2×#4112yes—
700C2×C4×C11C2×#4112yes—
701C22⋊D11—28no—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—82no—
705C22⋊D11—82no—
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—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
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—44no—
740C2×Dic11—44no—
741C2×Dic11C2×#4112yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11H(5,𝔽2)12yes—
745C2×Dic11H(5,𝔽2)12yes—
746C2×Dic11H(5,𝔽2)12yes—
747D44—44no—
748C4×D11—28no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—82no—
752C4×D11—82no—
753Dic22—44no—
754C23×D4—111no—
755C2×#126—111no—
756C2×#126—111no—
757C2×#125—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×C22⋊Q8—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C22×C4⋊C4—111no—
773C22×C22⋊C4—111no—
774C22×C22⋊C4—111no—
775C22×C22⋊C4—111no—
776C22×C22⋊C4—111no—
777C22×C42—111no—
778C22×C42—111no—
779#400—111no—
780#400C2×D1111yescharacteristic, complemented
781#399—111no—
782#399—111no—
783#398—111no—
784#398—111no—
785#398—111no—
786#398—111no—
787#397—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397—111no—
793#397C2×D1111yescharacteristic, complemented
794#397C2×D1111yescharacteristic, complemented
795#396—111no—
796#396—111no—
797#396—111no—
798#396C2×D1111yescharacteristic, complemented
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394C2×D1111yescharacteristic
807#394C2×D1111yescharacteristic, complemented
808#394C2×D1111yescharacteristic, complemented
809#392—111no—
810#392C2×D1111yescharacteristic
811#391—111no—
812#391—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#390—111no—
822#390—111no—
823#390—111no—
824#390—111no—
825#390—111no—
826#390—111no—
827#390—111no—
828#390C2×D1111yescharacteristic
829#389—111no—
830#389—111no—
831#389—111no—
832#389—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—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#388C2×D1111yescharacteristic, complemented
866#388C2×D1111yescharacteristic, complemented
867#387—111no—
868#387C2×D1111yescharacteristic, complemented
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386C2×D1111yescharacteristic, complemented
876#386C2×D1111yescharacteristic, complemented
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#382—111no—
882#380—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊C4—111no—
898C4×C4⋊C4—111no—
899C4×C4⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4C2×D1111yescharacteristic, complemented
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—88no—
958C2×D11—88no—
959C2×D11#52914yes—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11#53814yes—
985C25—111no—
986C25—111no—
987C22×Q8—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—224no—
995C22×D4—442no—
996C22×D4—442no—
997C22×D4C22×D1111yescharacteristic
998C22×D4C22×D1111yescharacteristic
999C22×D4C22×D1111yescharacteristic
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4C22×D1111yescharacteristic
1008#126—442no—
1009#126—442no—
1010#125—442no—
1011#124—442no—
1012#124—442no—
1013#123—442no—
1014#123—442no—
1015C22⋊Q8—224no—
1016C22⋊Q8—442no—
1017#121—442no—
1018#121—442no—
1019#120—224no—
1020#120—224no—
1021C4×Q8—442no—
1022C4×D4—224no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—442no—
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
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—224no—
1099C2×C22⋊C4—224no—
1100C2×C22⋊C4—442no—
1101C2×C22⋊C4—442no—
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—442no—
1132C2×C42—442no—
1133C2×C42C22×D1111yescharacteristic
1134C2×C42C22×D1111yescharacteristic
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—42no—
1168C2×C11—81no—
1169C2×C11—81no—
1170C2×C11C2×#52911yescharacteristic
1171C2×C11C2×#53811yescharacteristic
1172C2×C11#346011yescharacteristic
1173C2×C11#350511yescharacteristic
1174C2×C11#350811yescharacteristic
1175C2×C11#351411yescharacteristic
1176C2×C11#351911yescharacteristic
1177D11—24no—
1178D11—81no—
1179D11—81no—
1180C24—111no—
1181C24—111no—
1182C24—111no—
1183C24—222no—
1184C24—222no—
1185C24—222no—
1186C24—222no—
1187C24—222no—
1188C24—222no—
1189C24—441no—
1190C24—441no—
1191C24—441no—
1192C24—441no—
1193C24—441no—
1194C24—441no—
1195C24—441no—
1196C24—441no—
1197C24C23×D1111yescharacteristic
1198C24C23×D1111yescharacteristic
1199C24C23×D1111yescharacteristic
1200C2×Q8—222no—
1201C2×Q8—222no—
1202C2×Q8—222no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—114no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—4416no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—114no—
1239C22×C4—114no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
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×C4C23×D1111yescharacteristic
1269C22×C4C23×D1111yescharacteristic
1270C22×C4C23×D1111yescharacteristic
1271C22×C4C23×D1111yescharacteristic
1272C22×C4C23×D1111yescharacteristic
1273C22×C4C23×D1111yescharacteristic
1274C22×C4C23×D1111yescharacteristic
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—222no—
1286C4⋊C4—222no—
1287C4⋊C4—222no—
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—222no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—441no—
1297C4⋊C4—441no—
1298C4⋊C4—441no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C42—41no—
1367C42—41no—
1368C42—222no—
1369C42—222no—
1370C42—222no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C11#3502511yescharacteristic, complemented, Sylow
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—882no—
1432C23—882no—
1433C23—882no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23—882no—
1438C23—882no—
1439C23#41×D1112yes—
1440C23C24×D1111yescharacteristic
1441Q8—444no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—228no—
1446D4—444no—
1447D4—444no—
1448D4—444no—
1449D4—882no—
1450D4—882no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
1490C2×C4—112no—
1491C2×C4—112no—
1492C2×C4—228no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—882no—
1531C2×C4—882no—
1532C2×C4#41×D1112yes—
1533C2×C4#41×D1112yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—114no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—888no—
1577C22—888no—
1578C22C2×#41×D1111yescharacteristic
1579C22C2×#41×D1111yescharacteristic
1580C22C2×#41×D1111yescharacteristic
1581C22D11×H(5,𝔽2)11yescharacteristic
1582C22D11×H(5,𝔽2)11yescharacteristic
1583C22D11×H(5,𝔽2)11yescharacteristic
1584C22#1062345511yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—114no—
1598C4—222no—
1599C4—222no—
1600C4—222no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—224no—
1614C2—881no—
1615C2—881no—
1616C2D11×#52911yescharacteristic
1617C2D11×#53811yescharacteristic
1618C2#1308203111yescharacteristic
1619C2#1308245411yescharacteristic
1620C2#1308248811yescharacteristic
1621C2#1308256911yescharacteristic
1622C2#1308264011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2648C2
prime radical#13071965C2
hypercenter#2648D11
hypocenterC11#35025
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #13076985C2semidirect
2. #13076982C2semidirect
3. #13076944C2semidirect
4. #13076913C2semidirect
5. #13074655C2semidirect
6. #13074653C2semidirect
7. #13074598C2semidirect
8. #13074113C2semidirect
9. #13074108C2semidirect
10. #13073677C2semidirect
11. #13073669C2semidirect
12. #13073206C2semidirect
13. #13072961C2semidirect
14. #13072863C2semidirect
15. #13072855C2semidirect
16. #13072407C2semidirect
17. #13072333C2semidirect
18. #13072262C2semidirect
19. #13072175C2semidirect
20. #13072073C2semidirect
21. #13072071C2semidirect
22. #13072060C2semidirect
24. #13071272C2semidirect
25. #13071272C2semidirect
26. #13071210C2semidirect
27. #13071210C2semidirect
28. #13071150C2semidirect
29. D11×#390C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2648C2semidirect
37. C2×#66988C22semidirect
39. C22×C4×Dic11C22semidirect
40. C2×#66951C22semidirect
43. C2×#66942C22semidirect
44. C2×#66940C22semidirect
45. C2×#66939C22semidirect
54. C2×#66932C22semidirect
55. C2×#66931C22semidirect
57. C11×#400C22semidirect
58. C11×#397C22semidirect
59. C11×#397C22semidirect
60. C11×#396C22semidirect
62. C11×#394C22semidirect
63. C11×#394C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#387C22semidirect
69. C11×#386C22semidirect
70. C11×#386C22semidirect
71. C4×C11×C22⋊C4C22semidirect
75. #10622834C22semidirect
76. #10622834C22semidirect
77. #10622833C22semidirect
78. #10622826C22semidirect
79. #10622826C22semidirect
80. #10622607C22semidirect
81. #10622605C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
90. #10622597C22semidirect
91. #10622597C22semidirect
92. #10622596C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. #10622585C22semidirect
96. #10622572C22semidirect
97. #10622572C22semidirect
98. #10622571C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
117. #10622565C22semidirect
118. #10622565C22semidirect
119. #10622564C22semidirect
120. #10622564C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
123. #10622564C22semidirect
124. #10622562C22semidirect
125. #10622561C22semidirect
126. #10622561C22semidirect
127. #10622558C22semidirect
128. #10622558C22semidirect
129. #10622558C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. #10622557C22semidirect
135. #10622557C22semidirect
136. #10622557C22semidirect
137. #10622555C22semidirect
138. C22⋊C4×Dic11C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. #10622553C22semidirect
141. #10622553C22semidirect
144. #10622546C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. C42×Dic11C22semidirect
147. #10622288C22semidirect
148. #10622288C22semidirect
149. #10622288C22semidirect
150. #10622287C22semidirect
153. #10622283C22semidirect
154. #10622283C22semidirect
155. #10622283C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
175. #10622274C22semidirect
176. #10622273C22semidirect
177. #10622263C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
580. #2648D11semidirect
780. #400C2×D11semidirect
793. #397C2×D11semidirect
794. #397C2×D11semidirect
798. #396C2×D11semidirect
807. #394C2×D11semidirect
808. #394C2×D11semidirect
865. #388C2×D11semidirect
866. #388C2×D11semidirect
868. #387C2×D11semidirect
875. #386C2×D11semidirect
876. #386C2×D11semidirect
907. C4×C22⋊C4C2×D11semidirect
1383. C11#35025semidirect

Maximal subgroups

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

subgroupindex
#130769852
#130769822
#130769442
#130769132
#130746552
#130746532
#130745982
#130741132
#130741082
#130736772
#130736692
#130732062
#130729612
#130728632
#130728552
#130724072
#130723332
#130722622
#130721752
#130720732
#130720712
#130720602
#130719652
#130712722
#130712102
#130711502
D11×#3902
C4×(C22⋊D11)⋊C42
C11×#26482
#3502511