Finite Group Databasebeta

← #14918139

Subgroups — #14918139

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C211yesmaximal, characteristic
2#13071806C211yesmaximal, characteristic, complemented
3#13071784C211yesmaximal, characteristic, complemented
4#13071762C211yesmaximal, characteristic, complemented
5#13071754C211yesmaximal, characteristic, complemented
6#13071742C211yesmaximal, characteristic, complemented
7#13071735C211yesmaximal, characteristic, complemented
8#13071729C211yesmaximal, characteristic, complemented
9#13071724C211yesmaximal, characteristic, complemented
10#13071690C211yesmaximal, characteristic, complemented
11#13071641C211yesmaximal, characteristic, complemented
12#13071610C211yesmaximal, characteristic, complemented
13#13071597C211yesmaximal, characteristic, complemented
14#13071564C211yesmaximal, characteristic, complemented
15#13071554C211yesmaximal, characteristic, complemented
16#13071468C211yesmaximal, characteristic, complemented
17#13071458C211yesmaximal, characteristic, complemented
18#13071424C211yesmaximal, characteristic, complemented
19#13071399C211yesmaximal, characteristic, complemented
20#13071382C211yesmaximal, characteristic, complemented
21#13071325C211yesmaximal, characteristic, complemented
22#13071317C211yesmaximal, characteristic, complemented
23#13071311C211yesmaximal, characteristic, complemented
24#13071306C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071272C211yesmaximal, characteristic, complemented
27#13071253C211yesmaximal, characteristic, complemented
28C4×#66939C211yesmaximal, characteristic, complemented
29#13071126C211yesmaximal, characteristic, complemented
30#13071056C211yesmaximal, characteristic, complemented
31C11×#2333C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C2×#66979C2211yescharacteristic
43C2×#66977C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic, complemented
45#10623148C4116yescomplemented
46C2×#66951C2211yescharacteristic
47C2×#66951C2211yescharacteristic
48C2×#66939C2211yescharacteristic
49C2×#66939C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66930C2211yescharacteristic, complemented
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#386C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic, complemented
70C11×#381C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622834C2211yescharacteristic
75#10622834C2211yescharacteristic
76#10622834C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622825C2211yescharacteristic
83#10622823C2211yescharacteristic, complemented
84C4×C22⋊Dic11C2211yescharacteristic, complemented
85C2×C11⋊#95C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622598C2211yescharacteristic, complemented
91#10622589C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94C4⋊C4×Dic11C2211yescharacteristic, complemented
95#10622586C2211yescharacteristic, complemented
96#10622571C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622564C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic, complemented
109#10622563C2211yescharacteristic, complemented
110#10622563C2211yescharacteristic, complemented
111#10622559C2211yescharacteristic, complemented
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic, complemented
123#10622557C2211yescharacteristic, complemented
124#10622556C2211yescharacteristic
125#10622556C2211yescharacteristic, complemented
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic, complemented
128#10622555C2211yescharacteristic, complemented
129#10622555C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622553C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic, complemented
142C4×C4⋊Dic11C2211yescharacteristic, complemented
143#10622545C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622268C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622264C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C11×#121C2×C418yescomplemented
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊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×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
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
243#66992C2×C418yescomplemented
244#66992C2×C418yescomplemented
245#66990C2×C418yescomplemented
246#66990C2×C418yescomplemented
247D4×Dic11—42no—
248D4×Dic11C2×C418yescomplemented
249D4×Dic11C2×C418yescomplemented
250C4×C22⋊D11—42no—
251C2×(C2×D11)⋊C4C2×C418yescomplemented
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
272#66979—42no—
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282#66977C2×C418yescomplemented
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11—42no—
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
316#66951C2×C418yescomplemented
317#66951C2×C418yescomplemented
318#66939C2×C418yescomplemented
319#66939C2×C418yescomplemented
320#66938C2×C418yescomplemented
321#66938C2×C418yescomplemented
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4—42no—
324(C22⋊D11)⋊C4—42no—
325C22⋊C4×D11—42no—
326C22⋊C4×D11—42no—
327#66930—42no—
328#66930—42no—
329C4×Dic22—42no—
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
369C11⋊#95C2311yescharacteristic
370#34451—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11C22×C414yes—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11C22×C414yes—
401C22×C4×C11C2411yescharacteristic
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
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11C22×C414yes—
422C2×C22⋊D11C22×C414yes—
423C2×C22⋊D11C22×C414yes—
424C2×C22⋊D11C22×C414yes—
425C22×Dic11—22no—
426C22×Dic11—22no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11C22×C414yes—
438C22×Dic11C22×C414yes—
439C22×Dic11C22×C414yes—
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22C22×C414yes—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4C22×C414yes—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4C22×C414yes—
483C11×C22⋊C4C22×C414yes—
484C42×C11—41no—
485C42×C11—41no—
486C42×C11—41no—
487C42×C11—41no—
488C22⋊Dic11—22no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11C22×C414yes—
499C22⋊Dic11C22×C414yes—
500C22⋊Dic11C22×C414yes—
501C22⋊Dic11C22×C414yes—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4C22×C414yes—
515(C2×D11)⋊C4C22×C414yes—
516(C2×D11)⋊C4C22×C414yes—
517(C2×D11)⋊C4C22×C414yes—
518(C2×D11)⋊C4C22×C414yes—
519(C2×D11)⋊C4C22×C414yes—
520(C2×D11)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522C4⋊Dic11—22no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528C4⋊Dic11C22×C414yes—
529C4⋊Dic11C22×C414yes—
530C4⋊Dic11C22×C414yes—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4C22×C414yes—
544Dic11⋊C4C22×C414yes—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11C22×C414yes—
562C4×Dic11C22×C414yes—
563C2×#538—111no—
564#2383—111no—
565#2378—111no—
566#2376—111no—
567#2375—111no—
568#2373—111no—
569#2373—111no—
570#2373—111no—
571#2372—111no—
572#2367—111no—
573#2362—111no—
574#2359—111no—
575#2358—111no—
576#2354—111no—
577#2353—111no—
578#2342—111no—
579#2342—111no—
580#2337—111no—
581#2335—111no—
582#2333—111no—
583#2333D1111yescharacteristic, complemented
584#2326—111no—
585#2325—111no—
586#2324—111no—
587#2324—111no—
588#2321—111no—
589#2321—111no—
590#2319—111no—
591C4×#123—111no—
592C4×#121—111no—
593#2290—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
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×C11C23×C412yes—
613C23×C11C23×C412yes—
614C23×C11C23×C412yes—
615C23×C11C2511yescharacteristic
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—82no—
632C22×D11—82no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11C23×C412yes—
636C22×D11C23×C412yes—
637D4×C11—44no—
638D4×C11—44no—
639D4×C11—44no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—44no—
672C2×C4×C11—44no—
673C2×C4×C11—82no—
674C2×C4×C11C23×C412yes—
675C2×C4×C11C23×C412yes—
676C2×C4×C11C23×C412yes—
677C2×C4×C11C23×C412yes—
678C2×C4×C11H(5,𝔽2)12yes—
679C22⋊D11—44no—
680C22⋊D11—44no—
681C22⋊D11—44no—
682C22⋊D11—44no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—44no—
719C2×Dic11—44no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11—82no—
723C2×Dic11C23×C412yes—
724C2×Dic11C23×C412yes—
725C2×Dic11C23×C412yes—
726C2×Dic11C23×C412yes—
727C2×Dic11C23×C412yes—
728C2×Dic11C23×C412yes—
729C2×Dic11H(5,𝔽2)12yes—
730C4×D11—82no—
731C4×D11—82no—
732C4×D11—82no—
733C4×D11—82no—
734Dic22—44no—
735#538—1116no—
736C2×#126—111no—
737C2×#126—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#123—111no—
741C2×#123—111no—
742C2×C22⋊Q8—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121C2×D1111yescharacteristic
746C2×#120—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C22×C22⋊C4—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C42—111no—
763#391—111no—
764#391—111no—
765#391—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390C2×D1111yescharacteristic
774#390C2×D1111yescharacteristic
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388C2×D1111yescharacteristic, complemented
812#388C2×D1111yescharacteristic, complemented
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387C2×D1111yescharacteristic, complemented
824#387C2×D1111yescharacteristic, complemented
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386C2×D1111yescharacteristic
836#386C2×D1111yescharacteristic
837#386C2×D1111yescharacteristic, complemented
838#386C2×D1111yescharacteristic, complemented
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#384—111no—
852#383—111no—
853#381—111no—
854#381—111no—
855#381C2×D1111yescharacteristic
856#380—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#379—111no—
862#379—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×C22⋊C4—111no—
873C4×C22⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
885C4×C22⋊C4C2×D1111yescharacteristic, complemented
886C4×C22⋊C4C2×D1111yescharacteristic, complemented
887#376—111no—
888#376—111no—
889#376—111no—
890C2×#95—111no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11C24×C411yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C22×C11#58511yescharacteristic
918C22×C11#58511yescharacteristic
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—88no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—22no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960C25—111no—
961C22×Q8—111no—
962C22×D4—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4C22×D1111yescharacteristic
967C22×D4C22×D1111yescharacteristic
968C22×D4C22×D1111yescharacteristic
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126—118no—
983#124—118no—
984#124—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988#121—118no—
989#121—118no—
990#121C4×D1118yescomplemented
991#120—118no—
992#120—118no—
993C4×Q8—442no—
994C4×D4—118no—
995C4×D4—118no—
996C4×D4—442no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000C4×D4—442no—
1001#117—442no—
1002#117—442no—
1003#117—442no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—118no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—442no—
1066C2×C22⋊C4—442no—
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142C2×C11—42no—
1143C2×C11—42no—
1144C2×C11—42no—
1145C2×C11#342811yescharacteristic
1146C2×C11C4×H(5,𝔽2)11yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11#353311yescharacteristic
1149C2×C11#354211yescharacteristic
1150C2×C11#355111yescharacteristic
1151C2×C11#356811yescharacteristic
1152D11—42no—
1153D11—42no—
1154C24—111no—
1155C24—111no—
1156C24—114no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24—441no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—114no—
1176C2×D4—114no—
1177C2×D4—114no—
1178C2×D4—114no—
1179C2×D4—441no—
1180C2×D4—441no—
1181C2×D4—441no—
1182C2×D4—441no—
1183C2×D4—441no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4C2×C4×D1114yes—
1188C2×D4C2×C4×D1114yes—
1189C2×D4C2×C4×D1114yes—
1190C22×C4—22no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—114no—
1206C22×C4—114no—
1207C22×C4—114no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4C2×C4×D1114yes—
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—114no—
1255C4⋊C4—114no—
1256C4⋊C4—114no—
1257C4⋊C4—114no—
1258C4⋊C4—114no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4C2×C4×D1114yes—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—114no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—114no—
1294C22⋊C4—114no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
1297C22⋊C4—114no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4C2×C4×D1114yes—
1323C22⋊C4C2×C4×D1114yes—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—114no—
1329C42—114no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C11#3445111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—112no—
1366C23—112no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—444no—
1380C23—444no—
1381C23—444no—
1382C23—882no—
1383C23—882no—
1384C23—882no—
1385C23—882no—
1386C23C22×C4×D1112yes—
1387C23C22×C4×D1112yes—
1388C23C22×C4×D1112yes—
1389C23C24×D1111yescharacteristic
1390Q8—444no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—444no—
1395D4—444no—
1396D4—444no—
1397D4—444no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—82no—
1432C2×C4—112no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—112no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—444no—
1475C2×C4—444no—
1476C2×C4—444no—
1477C2×C4—444no—
1478C2×C4—882no—
1479C2×C4—882no—
1480C2×C4—882no—
1481C2×C4—882no—
1482C2×C4—882no—
1483C2×C4C22×C4×D1112yes—
1484C2×C4C22×C4×D1112yes—
1485C2×C4C22×C4×D1112yes—
1486C2×C4C22×C4×D1112yes—
1487C2×C4#6704212yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—222no—
1510C22—222no—
1511C22—222no—
1512C22—222no—
1513C22—222no—
1514C22—222no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—888no—
1524C22C23×C4×D1111yescharacteristic
1525C22C2×#6704211yescharacteristic
1526C22#1062345311yescharacteristic
1527C22D11×H(5,𝔽2)11yescharacteristic
1528C22#1062345511yescharacteristic
1529C22#1062345511yescharacteristic
1530C22#1062345511yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—222no—
1544C4—222no—
1545C4—222no—
1546C4—222no—
1547C4—222no—
1548C4—222no—
1549C4—222no—
1550C4—441no—
1551C4—441no—
1552C4—441no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—442no—
1561C2—442no—
1562C2#1308181411yescharacteristic
1563C2#1308182011yescharacteristic
1564C2C4×#6704211yescharacteristic
1565C2#1308278411yescharacteristic
1566C2#1308293811yescharacteristic
1567C2#1308303711yescharacteristic
1568C2#1308330911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2333C2
socle, cosocleC23×C11C25
prime radicalC2×#10623148C2
hypercenter#2333D11
hypocenterC11#34451
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #13071806C2semidirect
3. #13071784C2semidirect
4. #13071762C2semidirect
5. #13071754C2semidirect
6. #13071742C2semidirect
7. #13071735C2semidirect
8. #13071729C2semidirect
9. #13071724C2semidirect
10. #13071690C2semidirect
11. #13071641C2semidirect
12. #13071610C2semidirect
13. #13071597C2semidirect
14. #13071564C2semidirect
15. #13071554C2semidirect
16. #13071468C2semidirect
17. #13071458C2semidirect
18. #13071424C2semidirect
19. #13071399C2semidirect
20. #13071382C2semidirect
21. #13071325C2semidirect
22. #13071317C2semidirect
23. #13071311C2semidirect
24. #13071306C2semidirect
25. #13071275C2semidirect
26. #13071272C2semidirect
27. #13071253C2semidirect
28. C4×#66939C2semidirect
29. #13071126C2semidirect
30. #13071056C2semidirect
31. C11×#2333C2semidirect
39. C2×D4×Dic11C22semidirect
44. C22×C4×Dic11C22semidirect
45. #10623148C4semidirect
58. C2×#66930C22semidirect
59. C2×C4×Dic22C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C11×#386C22semidirect
69. C11×#386C22semidirect
72. C4×C11×C22⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
76. #10622834C22semidirect
83. #10622823C22semidirect
84. C4×C22⋊Dic11C22semidirect
85. C2×C11⋊#95C22semidirect
90. #10622598C22semidirect
91. #10622589C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. C4⋊C4×Dic11C22semidirect
95. #10622586C22semidirect
107. #10622564C22semidirect
108. #10622564C22semidirect
109. #10622563C22semidirect
110. #10622563C22semidirect
111. #10622559C22semidirect
116. #10622558C22semidirect
117. #10622558C22semidirect
122. #10622557C22semidirect
123. #10622557C22semidirect
125. #10622556C22semidirect
127. #10622555C22semidirect
128. #10622555C22semidirect
129. #10622555C22semidirect
131. C22⋊C4×Dic11C22semidirect
132. C22⋊C4×Dic11C22semidirect
141. C4×C4⋊Dic11C22semidirect
142. C4×C4⋊Dic11C22semidirect
143. #10622545C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. #10622542C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
168. #10622268C22semidirect
169. #10622268C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622264C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
209. C11×#121C2×C4semidirect
243. #66992C2×C4semidirect
244. #66992C2×C4semidirect
245. #66990C2×C4semidirect
246. #66990C2×C4semidirect
248. D4×Dic11C2×C4semidirect
249. D4×Dic11C2×C4semidirect
251. C2×(C2×D11)⋊C4C2×C4semidirect
282. #66977C2×C4semidirect
316. #66951C2×C4semidirect
317. #66951C2×C4semidirect
318. #66939C2×C4semidirect
319. #66939C2×C4semidirect
320. #66938C2×C4semidirect
321. #66938C2×C4semidirect
583. #2333D11semidirect
811. #388C2×D11semidirect
812. #388C2×D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
837. #386C2×D11semidirect
838. #386C2×D11semidirect
885. C4×C22⋊C4C2×D11semidirect
886. C4×C22⋊C4C2×D11semidirect
990. #121C4×D11semidirect
1346. C11#34451semidirect

Maximal subgroups

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

subgroupindex
C2×#106231482
#130718062
#130717842
#130717622
#130717542
#130717422
#130717352
#130717292
#130717242
#130716902
#130716412
#130716102
#130715972
#130715642
#130715542
#130714682
#130714582
#130714242
#130713992
#130713822
#130713252
#130713172
#130713112
#130713062
#130712752
#130712722
#130712532
C4×#669392
#130711262
#130710562
C11×#23332
#3445111