Finite Group Databasebeta

← #14915072

Subgroups — #14915072

Order 2816.

2634 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic
2#13071752C211yesmaximal, characteristic, complemented
3#13071748C211yesmaximal, characteristic, complemented
4#13071733C211yesmaximal, characteristic, complemented
5#13071731C211yesmaximal, characteristic, complemented
6#13071730C211yesmaximal, characteristic, complemented
7#13071729C211yesmaximal, characteristic, complemented
8#13071724C211yesmaximal, characteristic, complemented
9#13071724C211yesmaximal, characteristic, complemented
10#13071684C211yesmaximal, characteristic, complemented
11#13071682C211yesmaximal, characteristic, complemented
12#13071665C211yesmaximal, characteristic, complemented
13#13071663C211yesmaximal, characteristic, complemented
14#13071654C211yesmaximal, characteristic, complemented
15#13071650C211yesmaximal, characteristic, complemented
16#13071603C211yesmaximal, characteristic, complemented
17#13071345C211yesmaximal, characteristic, complemented
18#13071313C211yesmaximal, characteristic, complemented
19#13071278C211yesmaximal, characteristic, complemented
20#13071272C211yesmaximal, characteristic, complemented
21#13071210C211yesmaximal, characteristic, complemented
22#13071146C211yesmaximal, characteristic, complemented
23C4×#66937C211yesmaximal, characteristic, complemented
24#13071117C211yesmaximal, characteristic, complemented
25C4×#66990C211yesmaximal, characteristic, complemented
26#13071054C211yesmaximal, characteristic, complemented
27#13071053C211yesmaximal, characteristic, complemented
28#13070976C211yesmaximal, characteristic, complemented
29#13070974C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2359C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44#10623188C4116yescomplemented
45C2×#66951C2211yescharacteristic
46C2×#66950C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66945C2211yescharacteristic, complemented
52C2×#66940C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66932C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C11×#389C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#387C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic, complemented
72C4×C11×C4⋊C4C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C2×C11×#95C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic, complemented
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic, complemented
84C4×C22⋊Dic11C2211yescharacteristic, complemented
85C4×C22⋊Dic11C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic, complemented
94#10622601C2211yescharacteristic
95#10622600C2211yescharacteristic
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106#10622586C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic, complemented
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic, complemented
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622559C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic, complemented
127#10622557C2211yescharacteristic, complemented
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic, complemented
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142#10622545C2211yescharacteristic, complemented
143#10622545C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11—42no—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C11×#123C2×C418yescomplemented
217C4×D4×C11—42no—
218C11×#117—42no—
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66991C2×C418yescomplemented
250#66990C2×C418yescomplemented
251#66983C2×C418yescomplemented
252C4×C22⋊D11—24no—
253C4×C22⋊D11—24no—
254C4×C22⋊D11—42no—
255C4×C22⋊D11—42no—
256C4×C22⋊D11C2×C418yescomplemented
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×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×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
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
317#66951C2×C418yescomplemented
318#66950C2×C418yescomplemented
319#66947C2×C418yescomplemented
320#66946—24no—
321#66946—42no—
322#66946C2×C418yescomplemented
323#66945—42no—
324#66940—42no—
325#66938C2×C418yescomplemented
326#66938C2×C418yescomplemented
327#66937C2×C418yescomplemented
328#66935C2×C418yescomplemented
329(C22⋊D11)⋊C4—42no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11C2×C418yescomplemented
332#66932C2×C418yescomplemented
333C4×D44—24no—
334C42×D11—42no—
335C42×D11—42no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34277—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11C22×C414yescomplemented
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
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
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⋊D11C22×C414yes—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yescomplemented
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—41no—
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44C22×C414yes—
450C2×D44C22×C414yes—
451C2×C4×D11—22no—
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—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—416no—
480C2×C4×D11C22×C414yes—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yescomplemented
483C2×C4×D11#4114yes—
484C2×C4×D11#4114yes—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22C22×C414yescomplemented
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4C22×C414yescomplemented
494C11×C4⋊C4C22×C414yescomplemented
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yescomplemented
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11C22×C414yes—
516C22⋊Dic11C22×C414yes—
517C22⋊Dic11C22×C414yescomplemented
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537(C2×D11)⋊C4C22×C414yes—
538(C2×D11)⋊C4C22×C414yes—
539(C2×D11)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yescomplemented
541(C2×D11)⋊C4C22×C414yescomplemented
542C4⋊Dic11—22no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11C22×C414yescomplemented
546C4⋊Dic11C22×C414yescomplemented
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⋊C4C22×C414yescomplemented
556Dic11⋊C4C22×C414yescomplemented
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—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—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2374—111no—
580#2374—111no—
581#2373—111no—
582#2373—111no—
583#2373—111no—
584#2373—111no—
585#2372—111no—
586#2372—111no—
587#2367—111no—
588#2367—111no—
589#2364—111no—
590#2364—111no—
591#2363—111no—
592#2363—111no—
593#2359—111no—
594#2359D1111yescharacteristic, complemented
595#2329—111no—
596#2325—111no—
597#2321—111no—
598#2321—111no—
599#2312—111no—
600C4×C22⋊Q8—111no—
601C4×#121—111no—
602C4×#120—111no—
603C4×#120—111no—
604#2290—111no—
605#2290—111no—
606#2275—111no—
607#2275—111no—
608C2×C4×C22⋊C4—111no—
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×C11C23×C412yes—
622C23×C11C23×C412yes—
623C23×C11C2511yescharacteristic
624C22×D11—21no—
625C22×D11—21no—
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—28no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C23×C412yes—
650C22×D11C2×#4112yes—
651C22×D11C2×#4112yes—
652D4×C11—44no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—44no—
685C2×C4×C11—44no—
686C2×C4×C11—82no—
687C2×C4×C11—82no—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11H(5,𝔽2)12yes—
696C22⋊D11—28no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C22⋊D11—44no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—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—44no—
732C2×Dic11C23×C412yes—
733C2×Dic11C23×C412yes—
734C2×Dic11C23×C412yes—
735C2×Dic11C23×C412yes—
736C2×Dic11C23×C412yes—
737C2×Dic11C2×#4112yes—
738C2×Dic11C2×#4112yes—
739C2×Dic11H(5,𝔽2)12yes—
740D44—28no—
741D44—44no—
742C4×D11—28no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—82no—
752C4×D11—82no—
753Dic22—44no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123C2×D1111yescharacteristic
762C2×C22⋊Q8—111no—
763C2×#121—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—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4C2×D1111yescharacteristic
780C2×#117—111no—
781C2×#117C2×D1111yescharacteristic, complemented
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C42—111no—
785C22×C42—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389C2×D1111yescharacteristic, complemented
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388C2×D1111yescharacteristic
821#388C2×D1111yescharacteristic
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387C2×D1111yescharacteristic, complemented
833#387C2×D1111yescharacteristic, complemented
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386C2×D1111yescharacteristic
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385C2×D1111yescharacteristic
857#385C2×D1111yescharacteristic, complemented
858#380—111no—
859#380—111no—
860#379—111no—
861#379—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4C2×D1111yescharacteristic, complemented
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4C2×D1111yescharacteristic
901C4×C22⋊C4C2×D1111yescharacteristic, complemented
902#376—111no—
903#376—111no—
904#376—111no—
905#376—111no—
906C2×#95—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95C2×D1111yescharacteristic, complemented
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
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×C11C24×C411yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C22×#4111yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×H(5,𝔽2)11yescharacteristic
929C22×C11#58511yescharacteristic
930C22×C11#58511yescharacteristic
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—416no—
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×D11C4×#4114yes—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C25—111no—
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—224no—
1001C23×C4—442no—
1002C23×C4—442no—
1003C23×C4C22×D1111yescharacteristic
1004C23×C4C22×D1111yescharacteristic
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126—118no—
1009#124—118no—
1010#124—118no—
1011#123—118no—
1012#123C4×D1118yescomplemented
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121—118no—
1017#120—118no—
1018#120—118no—
1019C4×Q8—442no—
1020C4×D4—42no—
1021C4×D4—118no—
1022C4×D4—118no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C4×D4—224no—
1026C4×D4—224no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4—442no—
1031#117—42no—
1032#117—442no—
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⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
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—224no—
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—442no—
1121C2×C42—442no—
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
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—42no—
1169C2×C11C2×C4×#4111yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11#349011yescharacteristic
1173C2×C11#349311yescharacteristic
1174C2×C11#350511yescharacteristic
1175C2×C11#350611yescharacteristic
1176D11—24no—
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—114no—
1183C24—222no—
1184C24—222no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24—441no—
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C2×Q8—114no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4C2×C4×D1114yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
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—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—4416no—
1275C22×C4—441no—
1276C22×C4C2×C4×D1114yescomplemented
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—114no—
1298C4⋊C4—114no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4C2×C4×D1114yescomplemented
1311C4⋊C4C2×C4×D1114yescomplemented
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—114no—
1318C22⋊C4—114no—
1319C22⋊C4—114no—
1320C22⋊C4—114no—
1321C22⋊C4—114no—
1322C22⋊C4—114no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
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—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4C2×C4×D1114yes—
1352C22⋊C4C2×C4×D1114yes—
1353C22⋊C4C2×C4×D1114yescomplemented
1354C42—22no—
1355C42—22no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—114no—
1360C42—114no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—222no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C11#3427711yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—112no—
1397C23—112no—
1398C23—228no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—444no—
1416C23—444no—
1417C23—444no—
1418C23—444no—
1419C23—444no—
1420C23—444no—
1421C23C22×C4×D1112yes—
1422C23C22×C4×D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425D4—44no—
1426D4—228no—
1427D4—228no—
1428D4—444no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—228no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
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—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—882no—
1517C2×C4—882no—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4#6703712yes—
1524C2×C4#41×D1112yes—
1525C2×C4#41×D1112yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—114no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—4416no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#6703711yescharacteristic
1564C22C2×#41×D1111yescharacteristic
1565C22C2×#41×D1111yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22#1062345711yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—222no—
1589C4—222no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—42no—
1596C2—42no—
1597C2—224no—
1598C2—442no—
1599C2—442no—
1600C2C4×#41×D1111yescharacteristic
1601C2C4×#6703711yescharacteristic
1602C2#1308182211yescharacteristic
1603C2#1308229811yescharacteristic
1604C2#1308233411yescharacteristic
1605C2#1308244711yescharacteristic
1606C2#1308246611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2359C2
socle, cosocleC23×C11C25
prime radicalC2×#10623188C2
hypercenter#2359D11
hypocenterC11#34277
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #13071752C2semidirect
3. #13071748C2semidirect
4. #13071733C2semidirect
5. #13071731C2semidirect
6. #13071730C2semidirect
7. #13071729C2semidirect
8. #13071724C2semidirect
9. #13071724C2semidirect
10. #13071684C2semidirect
11. #13071682C2semidirect
12. #13071665C2semidirect
13. #13071663C2semidirect
14. #13071654C2semidirect
15. #13071650C2semidirect
16. #13071603C2semidirect
17. #13071345C2semidirect
18. #13071313C2semidirect
19. #13071278C2semidirect
20. #13071272C2semidirect
21. #13071210C2semidirect
22. #13071146C2semidirect
23. C4×#66937C2semidirect
24. #13071117C2semidirect
25. C4×#66990C2semidirect
26. #13071054C2semidirect
27. #13071053C2semidirect
28. #13070976C2semidirect
29. #13070974C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2359C2semidirect
35. C2×C11×#117C22semidirect
43. C2×C4×C22⋊D11C22semidirect
44. #10623188C4semidirect
51. C2×#66945C22semidirect
52. C2×#66940C22semidirect
64. C11×#389C22semidirect
67. C11×#387C22semidirect
68. C11×#387C22semidirect
71. C11×#385C22semidirect
72. C4×C11×C4⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C2×C11×#95C22semidirect
80. #10622826C22semidirect
83. C4×C22⋊Dic11C22semidirect
84. C4×C22⋊Dic11C22semidirect
85. C4×C22⋊Dic11C22semidirect
86. C4×C22⋊Dic11C22semidirect
93. #10622602C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622591C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. #10622586C22semidirect
109. #10622570C22semidirect
114. #10622569C22semidirect
119. #10622564C22semidirect
120. #10622564C22semidirect
126. #10622557C22semidirect
127. #10622557C22semidirect
133. #10622553C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. #10622545C22semidirect
143. #10622545C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. #10622542C22semidirect
147. #10622541C22semidirect
151. #10622283C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
173. D11×#95C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
216. C11×#123C2×C4semidirect
249. #66991C2×C4semidirect
250. #66990C2×C4semidirect
251. #66983C2×C4semidirect
256. C4×C22⋊D11C2×C4semidirect
317. #66951C2×C4semidirect
318. #66950C2×C4semidirect
319. #66947C2×C4semidirect
322. #66946C2×C4semidirect
325. #66938C2×C4semidirect
326. #66938C2×C4semidirect
327. #66937C2×C4semidirect
328. #66935C2×C4semidirect
331. C22⋊C4×D11C2×C4semidirect
332. #66932C2×C4semidirect
403. C22×C4×C11C22×C4semidirect
428. C2×C22⋊D11C22×C4semidirect
482. C2×C4×D11C22×C4semidirect
487. C2×Dic22C22×C4semidirect
493. C11×C4⋊C4C22×C4semidirect
494. C11×C4⋊C4C22×C4semidirect
502. C11×C22⋊C4C22×C4semidirect
517. C22⋊Dic11C22×C4semidirect
540. (C2×D11)⋊C4C22×C4semidirect
541. (C2×D11)⋊C4C22×C4semidirect
545. C4⋊Dic11C22×C4semidirect
546. C4⋊Dic11C22×C4semidirect
555. Dic11⋊C4C22×C4semidirect
556. Dic11⋊C4C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
594. #2359D11semidirect
781. C2×#117C2×D11semidirect
797. #389C2×D11semidirect
832. #387C2×D11semidirect
833. #387C2×D11semidirect
857. #385C2×D11semidirect
873. C4×C4⋊C4C2×D11semidirect
901. C4×C22⋊C4C2×D11semidirect
909. C2×#95C2×D11semidirect
1012. #123C4×D11semidirect
1276. C22×C4C2×C4×D11semidirect
1310. C4⋊C4C2×C4×D11semidirect
1311. C4⋊C4C2×C4×D11semidirect
1353. C22⋊C4C2×C4×D11semidirect
1380. C11#34277semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
#130717522
#130717482
#130717332
#130717312
#130717302
#130717292
#130717242
#130716842
#130716822
#130716652
#130716632
#130716542
#130716502
#130716032
#130713452
#130713132
#130712782
#130712722
#130712102
#130711462
C4×#669372
#130711172
C4×#669902
#130710542
#130710532
#130709762
#130709742
C4×C22⋊C4×D112
C11×#23592
#3427711