Finite Group Databasebeta

← #14915208

Subgroups — #14915208

Order 2816.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic
2#13071730C211yesmaximal, characteristic, complemented
3#13071729C211yesmaximal, characteristic, complemented
4#13071724C211yesmaximal, characteristic, complemented
5#13071698C211yesmaximal, characteristic, complemented
6#13071682C211yesmaximal, characteristic, complemented
7#13071666C211yesmaximal, characteristic, complemented
8#13071660C211yesmaximal, characteristic, complemented
9#13071652C211yesmaximal, characteristic, complemented
10#13071629C211yesmaximal, characteristic, complemented
11#13071623C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071598C211yesmaximal, characteristic, complemented
14#13071597C211yesmaximal, characteristic, complemented
15#13071596C211yesmaximal, characteristic, complemented
16#13071594C211yesmaximal, characteristic, complemented
17#13071423C211yesmaximal, characteristic, complemented
18#13071405C211yesmaximal, characteristic, complemented
19#13071388C211yesmaximal, characteristic, complemented
20#13071377C211yesmaximal, characteristic, complemented
21#13071248C211yesmaximal, characteristic, complemented
22C4×#66932C211yesmaximal, characteristic, complemented
23#13071157C211yesmaximal, characteristic, complemented
24C4×#66947C211yesmaximal, characteristic, complemented
25#13071132C211yesmaximal, characteristic, complemented
26#13071062C211yesmaximal, characteristic, complemented
27D11×#388C211yesmaximal, characteristic, complemented
28#13070975C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2374C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66991C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66979C2211yescharacteristic, complemented
40#10623188C4116yescomplemented
41C2×#66951C2211yescharacteristic
42C2×#66950C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×#66940C2211yescharacteristic, complemented
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66937C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×#66932C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#387C2211yescharacteristic, complemented
73C11×#386C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C4⋊C4C2211yescharacteristic, complemented
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic, complemented
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622826C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C2×C11⋊#95C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic, complemented
90#10622600C2211yescharacteristic, complemented
91#10622598C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic, complemented
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic, complemented
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622563C2211yescharacteristic
111#10622563C2211yescharacteristic, complemented
112#10622559C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic, complemented
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122C22⋊C4×Dic11C2211yescharacteristic, complemented
123C22⋊C4×Dic11C2211yescharacteristic, complemented
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic, complemented
127#10622552C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×C4⋊Dic11C2211yescharacteristic, complemented
139#10622545C2211yescharacteristic, complemented
140C4×Dic11⋊C4C2211yescharacteristic, complemented
141C4×Dic11⋊C4C2211yescharacteristic, complemented
142C4×Dic11⋊C4C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C42×Dic11C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, 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#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
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
171#10622277C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
213C11×#123C2×C418yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊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×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#66991C2×C418yescomplemented
245#66990C2×C418yescomplemented
246D4×Dic11—42no—
247#66983C2×C418yescomplemented
248C4×C22⋊D11C2×C418yescomplemented
249C2×(C2×D11)⋊C4—24no—
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274#66979—42no—
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
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
311#66951C2×C418yescomplemented
312#66950C2×C418yescomplemented
313#66947C2×C418yescomplemented
314#66946—24no—
315#66946C2×C418yescomplemented
316C4⋊C4×D11—42no—
317#66940—42no—
318#66938C2×C418yescomplemented
319#66938C2×C418yescomplemented
320#66937C2×C418yescomplemented
321#66935C2×C418yescomplemented
322(C22⋊D11)⋊C4—24no—
323(C22⋊D11)⋊C4—24no—
324(C22⋊D11)⋊C4—42no—
325(C22⋊D11)⋊C4—42no—
326(C22⋊D11)⋊C4—42no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—42no—
329C22⋊C4×D11—42no—
330C22⋊C4×D11C2×C418yescomplemented
331#66932C2×C418yescomplemented
332C4×D44—24no—
333C4×D44—42no—
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#34283—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—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11C22×C414yes—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
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⋊D11C22×C414yes—
420C2×C22⋊D11C22×C414yes—
421C2×C22⋊D11C22×C414yes—
422C2×C22⋊D11C22×C414yes—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
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—22no—
462C2×C4×D11—22no—
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—41no—
480C2×C4×D11—41no—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22C22×C414yes—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4C22×C414yes—
491C11×C4⋊C4C22×C414yes—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4C22×C414yes—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C42×C11—22no—
503C42×C11—41no—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11C22×C414yes—
515C22⋊Dic11C22×C414yes—
516C22⋊Dic11C22×C414yes—
517(C2×D11)⋊C4—22no—
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—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)⋊C4C22×C414yes—
532(C2×D11)⋊C4C22×C414yes—
533(C2×D11)⋊C4C22×C414yes—
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)⋊C4#4114yes—
540(C2×D11)⋊C4#4114yes—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11C22×C414yes—
547C4⋊Dic11C22×C414yes—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4C22×C414yes—
557Dic11⋊C4C22×C414yes—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
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×Dic11C22×C414yes—
576C4×Dic11C22×C414yes—
577C2×#538—111no—
578#2374D1111yescharacteristic, complemented
579#2373—111no—
580#2373—111no—
581#2372—111no—
582#2368—111no—
583#2367—111no—
584#2364—111no—
585#2364—111no—
586#2363—111no—
587#2361—111no—
588#2360—111no—
589#2359—111no—
590#2358—111no—
591#2358—111no—
592#2358—111no—
593#2358—111no—
594#2337—111no—
595#2335—111no—
596#2334—111no—
597#2333—111no—
598#2318—111no—
599C4×#126—111no—
600C4×#124—111no—
601C4×#123—111no—
602C4×#121—111no—
603#2290—111no—
604C2×#388—111no—
605#2275—111no—
606#2273—111no—
607C42×D4—111no—
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×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11C2511yescharacteristic
623C22×D11—21no—
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—28no—
640C22×D11—44no—
641C22×D11—44no—
642C22×D11—82no—
643C22×D11—82no—
644C22×D11—82no—
645C22×D11—82no—
646C22×D11C23×C412yes—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C2×#4112yes—
650C22×D11C2×#4112yes—
651D4×C11—44no—
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—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—44no—
684C2×C4×C11—82no—
685C2×C4×C11C23×C412yes—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C2×#4112yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11H(5,𝔽2)12yes—
693C22⋊D11—28no—
694C22⋊D11—44no—
695C22⋊D11—44no—
696C22⋊D11—44no—
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—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—82no—
729C2×Dic11—82no—
730C2×Dic11—82no—
731C2×Dic11C23×C412yes—
732C2×Dic11C23×C412yes—
733C2×Dic11C23×C412yes—
734C2×Dic11C23×C412yes—
735C2×Dic11C23×C412yes—
736C2×Dic11C2×#4112yes—
737C2×Dic11C2×#4112yes—
738C2×Dic11H(5,𝔽2)12yes—
739D44—28no—
740D44—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—82no—
749C4×D11—82no—
750C4×D11—82no—
751C4×D11—82no—
752Dic22—44no—
753#538—1116no—
754C2×#126—111no—
755C2×#126—111no—
756C2×#124—111no—
757C2×#124—111no—
758C2×#123—111no—
759C2×#123C2×D1111yescharacteristic
760C2×C22⋊Q8—111no—
761C2×#121—111no—
762C2×#121—111no—
763C2×#121—111no—
764C2×#120—111no—
765C2×#120—111no—
766C2×C4×Q8—111no—
767C2×C4×D4—111no—
768C2×C4×D4—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×#117—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C42—111no—
786C22×C42—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#390C2×D1111yescharacteristic
795#389—111no—
796#389—111no—
797#389—111no—
798#389—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#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#388C2×D1111yescharacteristic, complemented
822#388C2×D1111yescharacteristic, complemented
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#387—111no—
833#387C2×D1111yescharacteristic, complemented
834#387C2×D1111yescharacteristic, complemented
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#386—111no—
848#386C2×D1111yescharacteristic
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#383—111no—
860#382—111no—
861#381—111no—
862#380—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⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
900C4×C22⋊C4C2×D1111yescharacteristic
901C4×C22⋊C4C2×D1111yescharacteristic, complemented
902C4×C22⋊C4C2×D1111yescharacteristic, complemented
903#376—111no—
904#376—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
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×C11C24×C411yescharacteristic
924C22×C11C22×#4111yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11#58511yescharacteristic
929C22×C11#58511yescharacteristic
930C2×D11—22no—
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—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—88no—
951C2×D11C4×#4114yes—
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978C25—111no—
979C22×Q8—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4C22×D1111yescharacteristic
987C23×C4—111no—
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—111no—
1001C23×C4C22×D1111yescharacteristic
1002C23×C4C22×D1111yescharacteristic
1003#126—118no—
1004#126—118no—
1005#124—118no—
1006#124—118no—
1007#123—118no—
1008#123C4×D1118yescomplemented
1009C22⋊Q8—118no—
1010#121—118no—
1011#121—118no—
1012#121—118no—
1013#120—118no—
1014#120—118no—
1015C4×Q8—442no—
1016C4×D4—118no—
1017C4×D4—118no—
1018C4×D4—224no—
1019C4×D4—224no—
1020C4×D4—224no—
1021C4×D4—224no—
1022C4×D4—442no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—442no—
1027#117—442no—
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—442no—
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
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—224no—
1085C2×C22⋊C4—224no—
1086C2×C22⋊C4—442no—
1087C2×C22⋊C4—442no—
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
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—442no—
1118C2×C42—442no—
1119C2×C42C22×D1111yescharacteristic
1120C2×C42C22×D1111yescharacteristic
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126#95—111no—
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#95C22×D1111yescharacteristic
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
1166C2×C11—42no—
1167C2×C11—42no—
1168C2×C11C2×C4×#4111yescharacteristic
1169C2×C11C4×H(5,𝔽2)11yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11#351311yescharacteristic
1172C2×C11#351411yescharacteristic
1173C2×C11#351911yescharacteristic
1174C2×C11#352111yescharacteristic
1175D11—24no—
1176D11—42no—
1177D11—42no—
1178C24—111no—
1179C24—111no—
1180C24—111no—
1181C24—114no—
1182C24—222no—
1183C24—222no—
1184C24—441no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C2×Q8—114no—
1191C2×Q8—441no—
1192C2×Q8—441no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—114no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4C2×C4×D1114yes—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—114no—
1228C22×C4—114no—
1229C22×C4—114no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4C2×C4×D1114yes—
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
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
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—114no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4C2×C4×D1114yes—
1309C4⋊C4C2×C4×D1114yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
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—114no—
1329C22⋊C4—114no—
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—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4C2×C4×D1114yes—
1350C22⋊C4C2×C4×D1114yes—
1351C22⋊C4C2×C4×D1114yes—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—114no—
1360C42—114no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—222no—
1367C42—222no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C11#3428311yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—112no—
1392C23—112no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—228no—
1397C23—221no—
1398C23—221no—
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—444no—
1414C23—444no—
1415C23—882no—
1416C23—882no—
1417C23—882no—
1418C23—882no—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23C24×D1111yescharacteristic
1422Q8—444no—
1423D4—44no—
1424D4—228no—
1425D4—228no—
1426D4—444no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430C2×C4—21no—
1431C2×C4—21no—
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—44no—
1462C2×C4—82no—
1463C2×C4—112no—
1464C2×C4—112no—
1465C2×C4—112no—
1466C2×C4—112no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
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—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—882no—
1510C2×C4—882no—
1511C2×C4—882no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4—882no—
1516C2×C4C22×C4×D1112yes—
1517C2×C4C22×C4×D1112yes—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4#41×D1112yes—
1522C2×C4#41×D1112yes—
1523C2×C4#6704212yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—114no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—888no—
1560C22C23×C4×D1111yescharacteristic
1561C22C2×#41×D1111yescharacteristic
1562C22C2×#41×D1111yescharacteristic
1563C22C2×#6704211yescharacteristic
1564C22#1062345311yescharacteristic
1565C22D11×H(5,𝔽2)11yescharacteristic
1566C22#1062345511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C2—42no—
1594C2—42no—
1595C2—224no—
1596C2—442no—
1597C2—442no—
1598C2C4×#41×D1111yescharacteristic
1599C2#1308182011yescharacteristic
1600C2C4×#6704211yescharacteristic
1601C2#1308254711yescharacteristic
1602C2#1308257611yescharacteristic
1603C2#1308264411yescharacteristic
1604C2#1308267711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2374C2
socle, cosocleC23×C11C25
prime radicalC2×#10623188C2
hypercenter#2374D11
hypocenterC11#34283
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #13071730C2semidirect
3. #13071729C2semidirect
4. #13071724C2semidirect
5. #13071698C2semidirect
6. #13071682C2semidirect
7. #13071666C2semidirect
8. #13071660C2semidirect
9. #13071652C2semidirect
10. #13071629C2semidirect
11. #13071623C2semidirect
12. #13071612C2semidirect
13. #13071598C2semidirect
14. #13071597C2semidirect
15. #13071596C2semidirect
16. #13071594C2semidirect
17. #13071423C2semidirect
18. #13071405C2semidirect
19. #13071388C2semidirect
20. #13071377C2semidirect
21. #13071248C2semidirect
22. C4×#66932C2semidirect
23. #13071157C2semidirect
24. C4×#66947C2semidirect
25. #13071132C2semidirect
26. #13071062C2semidirect
27. D11×#388C2semidirect
28. #13070975C2semidirect
29. #13070968C2semidirect
30. C4×#66946C2semidirect
31. C11×#2374C2semidirect
39. C2×#66979C22semidirect
40. #10623188C4semidirect
47. C2×#66940C22semidirect
56. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×C42×D11C22semidirect
69. C11×#388C22semidirect
70. C11×#388C22semidirect
71. C11×#387C22semidirect
72. C11×#387C22semidirect
74. C4×C11×C4⋊C4C22semidirect
75. C4×C11×C4⋊C4C22semidirect
78. C4×C11×C22⋊C4C22semidirect
79. C4×C11×C22⋊C4C22semidirect
84. C2×C11⋊#95C22semidirect
89. #10622602C22semidirect
90. #10622600C22semidirect
91. #10622598C22semidirect
92. #10622594C22semidirect
93. #10622594C22semidirect
94. #10622591C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
99. #10622571C22semidirect
102. #10622570C22semidirect
107. #10622569C22semidirect
111. #10622563C22semidirect
114. #10622558C22semidirect
115. #10622558C22semidirect
121. C22⋊C4×Dic11C22semidirect
122. C22⋊C4×Dic11C22semidirect
123. C22⋊C4×Dic11C22semidirect
126. #10622553C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×C4⋊Dic11C22semidirect
139. #10622545C22semidirect
140. C4×Dic11⋊C4C22semidirect
141. C4×Dic11⋊C4C22semidirect
142. C4×Dic11⋊C4C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C42×Dic11C22semidirect
145. #10622542C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
151. #10622283C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
171. #10622277C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#123C2×C4semidirect
244. #66991C2×C4semidirect
245. #66990C2×C4semidirect
247. #66983C2×C4semidirect
248. C4×C22⋊D11C2×C4semidirect
311. #66951C2×C4semidirect
312. #66950C2×C4semidirect
313. #66947C2×C4semidirect
315. #66946C2×C4semidirect
318. #66938C2×C4semidirect
319. #66938C2×C4semidirect
320. #66937C2×C4semidirect
321. #66935C2×C4semidirect
330. C22⋊C4×D11C2×C4semidirect
331. #66932C2×C4semidirect
578. #2374D11semidirect
821. #388C2×D11semidirect
822. #388C2×D11semidirect
833. #387C2×D11semidirect
834. #387C2×D11semidirect
872. C4×C4⋊C4C2×D11semidirect
873. C4×C4⋊C4C2×D11semidirect
901. C4×C22⋊C4C2×D11semidirect
902. C4×C22⋊C4C2×D11semidirect
1008. #123C4×D11semidirect
1378. C11#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
#130717302
#130717292
#130717242
#130716982
#130716822
#130716662
#130716602
#130716522
#130716292
#130716232
#130716122
#130715982
#130715972
#130715962
#130715942
#130714232
#130714052
#130713882
#130713772
#130712482
C4×#669322
#130711572
C4×#669472
#130711322
#130710622
D11×#3882
#130709752
#130709682
C4×#669462
C11×#23742
#3428311