Finite Group Databasebeta

← #14918244

Subgroups — #14918244

Order 2816.

2306 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×#10623188C211yesmaximal, characteristic
2#13071785C211yesmaximal, characteristic, complemented
3#13071780C211yesmaximal, characteristic, complemented
4#13071770C211yesmaximal, characteristic, complemented
5#13071753C211yesmaximal, characteristic, complemented
6#13071745C211yesmaximal, characteristic, complemented
7#13071684C211yesmaximal, characteristic, complemented
8#13071665C211yesmaximal, characteristic, complemented
9#13071659C211yesmaximal, characteristic, complemented
10#13071645C211yesmaximal, characteristic, complemented
11#13071630C211yesmaximal, characteristic, complemented
12#13071615C211yesmaximal, characteristic, complemented
13#13071596C211yesmaximal, characteristic, complemented
14#13071590C211yesmaximal, characteristic, complemented
15#13071547C211yesmaximal, characteristic, complemented
16#13071464C211yesmaximal, characteristic, complemented
17#13071463C211yesmaximal, characteristic, complemented
18#13071423C211yesmaximal, characteristic, complemented
19#13071396C211yesmaximal, characteristic, complemented
20#13071390C211yesmaximal, characteristic, complemented
21#13071388C211yesmaximal, characteristic, complemented
22#13071379C211yesmaximal, characteristic, complemented
23#13071304C211yesmaximal, characteristic, complemented
24#13071288C211yesmaximal, characteristic, complemented
25#13071278C211yesmaximal, characteristic, complemented
26#13071276C211yesmaximal, characteristic, complemented
27#13071248C211yesmaximal, characteristic, complemented
28C4×#66932C211yesmaximal, characteristic, complemented
29#13071157C211yesmaximal, characteristic, complemented
30#13071074C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66991C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×C4⋊Dic11C2211yescharacteristic, complemented
41#10623188C4116yescomplemented
42C2×#66951C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66945C2211yescharacteristic, complemented
49C2×#66940C2211yescharacteristic, complemented
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×#66932C2211yescharacteristic
59C2×C4×D44C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#389C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#380C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic
75#10622824C2211yescharacteristic, complemented
76C4×C22⋊Dic11C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic, complemented
87#10622601C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622598C2211yescharacteristic, complemented
90#10622598C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622590C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97#10622586C2211yescharacteristic, complemented
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622571C2211yescharacteristic, complemented
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic, complemented
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic, complemented
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622563C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622563C2211yescharacteristic, complemented
118#10622559C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic, complemented
121#10622558C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic, complemented
127C22⋊C4×Dic11C2211yescharacteristic, complemented
128C22⋊C4×Dic11C2211yescharacteristic, complemented
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic, complemented
135#10622552C2211yescharacteristic
136#10622552C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×C4⋊Dic11C2211yescharacteristic, complemented
141C4×C4⋊Dic11C2211yescharacteristic, complemented
142C4×Dic11⋊C4C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C42×Dic11C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
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#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, 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×Dic22C2311yescharacteristic
209C11×#123C2×C418yescomplemented
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240#66991C2×C418yescomplemented
241#66990C2×C418yescomplemented
242D4×Dic11—42no—
243#66983C2×C418yescomplemented
244C4×C22⋊D11—42no—
245C4×C22⋊D11C2×C418yescomplemented
246C2×(C2×D11)⋊C4—42no—
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
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
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×C4⋊Dic11—42no—
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
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×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
311C2×C4×Dic11C2311yescharacteristic
312#66951C2×C418yescomplemented
313#66950C2×C418yescomplemented
314#66947C2×C418yescomplemented
315#66946C2×C418yescomplemented
316#66945—42no—
317#66945—42no—
318#66945—42no—
319#66940—42no—
320#66938C2×C418yescomplemented
321#66938C2×C418yescomplemented
322#66937C2×C418yescomplemented
323#66935C2×C418yescomplemented
324(C22⋊D11)⋊C4—42no—
325(C22⋊D11)⋊C4—42no—
326C22⋊C4×D11—42no—
327C22⋊C4×D11C2×C418yescomplemented
328#66932C2×C418yescomplemented
329C4×D44—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#34454—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—41no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C22×C414yes—
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11C22×C414yes—
386C22×C4×C11—22no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11C22×C414yes—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11C22×C414yes—
414C2×C22⋊D11C22×C414yes—
415C2×C22⋊D11C22×C414yes—
416C2×C22⋊D11C22×C414yes—
417C22×Dic11—22no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C2×D44—41no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44C22×C414yes—
444C2×D44C22×C414yes—
445C2×C4×D11—22no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
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×D11C22×C414yes—
464C2×C4×D11C22×C414yes—
465C2×C4×D11C22×C414yes—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22C22×C414yes—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4C22×C414yes—
475C11×C4⋊C4C22×C414yes—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4C22×C414yes—
484C11×C22⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C42×C11—41no—
487C42×C11—41no—
488C42×C11—41no—
489C42×C11—41no—
490C42×C11—41no—
491C22⋊Dic11—22no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11C22×C414yes—
497C22⋊Dic11C22×C414yes—
498C22⋊Dic11C22×C414yes—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
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)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4C22×C414yes—
520(C2×D11)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yes—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—22no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11C22×C414yes—
535C4⋊Dic11C22×C414yes—
536Dic11⋊C4—22no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4C22×C414yes—
545Dic11⋊C4C22×C414yes—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—41no—
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#2379—111no—
565#2378—111no—
566#2377—111no—
567#2375—111no—
568#2374—111no—
569#2367—111no—
570#2364—111no—
571#2363—111no—
572#2362—111no—
573#2361—111no—
574#2359—111no—
575#2358—111no—
576#2357—111no—
577#2352—111no—
578#2342—111no—
579#2342—111no—
580#2337—111no—
581#2335D1111yescharacteristic, complemented
582#2334—111no—
583#2334—111no—
584#2334—111no—
585#2333—111no—
586#2324—111no—
587#2322—111no—
588#2321—111no—
589#2321—111no—
590#2318—111no—
591C4×#126—111no—
592C4×#124—111no—
593#2293—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×C11C23×C412yes—
607C23×C11C23×C412yes—
608C23×C11C2511yescharacteristic
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
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—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11—82no—
631C22×D11—82no—
632C22×D11—82no—
633C22×D11—82no—
634C22×D11C23×C412yes—
635C22×D11C23×C412yes—
636C22×D11C23×C412yes—
637D4×C11—44no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
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—82no—
673C2×C4×C11C23×C412yes—
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—82no—
717C2×Dic11—82no—
718C2×Dic11—82no—
719C2×Dic11C23×C412yes—
720C2×Dic11C23×C412yes—
721C2×Dic11C23×C412yes—
722C2×Dic11C23×C412yes—
723C2×Dic11C23×C412yes—
724C2×Dic11H(5,𝔽2)12yes—
725D44—44no—
726D44—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
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×#123C2×D1111yescharacteristic
742C2×C22⋊Q8—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121—111no—
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×C4⋊C4—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—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#390—111no—
774#390C2×D1111yescharacteristic
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic
810#388C2×D1111yescharacteristic
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#386—111no—
836#386—111no—
837#386—111no—
838#386C2×D1111yescharacteristic
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#385C2×D1111yescharacteristic
851#383—111no—
852#382—111no—
853#382—111no—
854#382—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#380—111no—
859#380—111no—
860#380C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4C2×D1111yescharacteristic
888C4×C22⋊C4C2×D1111yescharacteristic, complemented
889C2×#95—111no—
890C43—111no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11C24×C411yescharacteristic
906C22×C11C2×H(5,𝔽2)11yescharacteristic
907C22×C11C2×H(5,𝔽2)11yescharacteristic
908C22×C11#58511yescharacteristic
909C22×C11#58511yescharacteristic
910C22×C11#58511yescharacteristic
911C22×C11#58511yescharacteristic
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
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—22no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
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×D4—111no—
967C22×D4—111no—
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×C4—111no—
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126—118no—
983#124—118no—
984#124—118no—
985#123—118no—
986#123C4×D1118yescomplemented
987C22⋊Q8—118no—
988#121—118no—
989#121—118no—
990#121—118no—
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—442no—
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
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—118no—
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—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—442no—
1069C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
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×C42C22×D1111yescharacteristic
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#342811yescharacteristic
1145C2×C11C4×H(5,𝔽2)11yescharacteristic
1146C2×C11C4×H(5,𝔽2)11yescharacteristic
1147C2×C11#355811yescharacteristic
1148C2×C11#356011yescharacteristic
1149C2×C11#356211yescharacteristic
1150C2×C11#356611yescharacteristic
1151D11—42no—
1152D11—42no—
1153D11—42no—
1154C24—111no—
1155C24—111no—
1156C24—111no—
1157C24—114no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24—441no—
1163C24—441no—
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—114no—
1172C2×D4—114no—
1173C2×D4—114no—
1174C2×D4—114no—
1175C2×D4—114no—
1176C2×D4—114no—
1177C2×D4—441no—
1178C2×D4—441no—
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×D4—441no—
1188C2×D4—441no—
1189C2×D4C2×C4×D1114yes—
1190C22×C4—22no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—114no—
1202C22×C4—114no—
1203C22×C4—114no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
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×C4C2×C4×D1114yes—
1239C22×C4C23×D1111yescharacteristic
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—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—114no—
1258C4⋊C4—114no—
1259C4⋊C4—114no—
1260C4⋊C4—114no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1277C4⋊C4C2×C4×D1114yes—
1278C22⋊C4—22no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—114no—
1286C22⋊C4—114no—
1287C22⋊C4—114no—
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—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—441no—
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⋊C4C2×C4×D1114yes—
1322C22⋊C4C2×C4×D1114yes—
1323C22⋊C4C2×C4×D1114yes—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—114no—
1330C42—114no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—441no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C11#3445411yescharacteristic, 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—112no—
1360C23—112no—
1361C23—112no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
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—221no—
1380C23—444no—
1381C23—444no—
1382C23—444no—
1383C23—882no—
1384C23—882no—
1385C23—882no—
1386C23—882no—
1387C23C22×C4×D1112yes—
1388C23C22×C4×D1112yes—
1389C23C24×D1111yescharacteristic
1390Q8—444no—
1391D4—44no—
1392D4—444no—
1393D4—444no—
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—21no—
1430C2×C4—21no—
1431C2×C4—44no—
1432C2×C4—82no—
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—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4—882no—
1479C2×C4—882no—
1480C2×C4—882no—
1481C2×C4—882no—
1482C2×C4C22×C4×D1112yes—
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—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—222no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
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#1062345711yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
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—442no—
1560C2—442no—
1561C2—442no—
1562C2#1308181611yescharacteristic
1563C2#1308182011yescharacteristic
1564C2C4×#6704211yescharacteristic
1565C2#1308313111yescharacteristic
1566C2#1308317011yescharacteristic
1567C2#1308319511yescharacteristic
1568C2#1308327511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2335C2
socle, cosocleC23×C11C25
prime radicalC2×#10623188C2
hypercenter#2335D11
hypocenterC11#34454
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #13071785C2semidirect
3. #13071780C2semidirect
4. #13071770C2semidirect
5. #13071753C2semidirect
6. #13071745C2semidirect
7. #13071684C2semidirect
8. #13071665C2semidirect
9. #13071659C2semidirect
10. #13071645C2semidirect
11. #13071630C2semidirect
12. #13071615C2semidirect
13. #13071596C2semidirect
14. #13071590C2semidirect
15. #13071547C2semidirect
16. #13071464C2semidirect
17. #13071463C2semidirect
18. #13071423C2semidirect
19. #13071396C2semidirect
20. #13071390C2semidirect
21. #13071388C2semidirect
22. #13071379C2semidirect
23. #13071304C2semidirect
24. #13071288C2semidirect
25. #13071278C2semidirect
26. #13071276C2semidirect
27. #13071248C2semidirect
28. C4×#66932C2semidirect
29. #13071157C2semidirect
30. #13071074C2semidirect
31. C11×#2335C2semidirect
40. C22×C4⋊Dic11C22semidirect
41. #10623188C4semidirect
48. C2×#66945C22semidirect
49. C2×#66940C22semidirect
55. C2×(C22⋊D11)⋊C4C22semidirect
61. C11×#389C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
70. C11×#380C22semidirect
71. C4×C11×C4⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
75. #10622824C22semidirect
82. #10622603C22semidirect
83. #10622603C22semidirect
86. #10622602C22semidirect
89. #10622598C22semidirect
90. #10622598C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622591C22semidirect
94. #10622590C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. #10622586C22semidirect
102. #10622571C22semidirect
107. #10622570C22semidirect
110. #10622569C22semidirect
117. #10622563C22semidirect
120. #10622558C22semidirect
121. #10622558C22semidirect
126. C22⋊C4×Dic11C22semidirect
127. C22⋊C4×Dic11C22semidirect
128. C22⋊C4×Dic11C22semidirect
134. #10622553C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×C4⋊Dic11C22semidirect
141. C4×C4⋊Dic11C22semidirect
142. C4×Dic11⋊C4C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C42×Dic11C22semidirect
146. #10622542C22semidirect
147. #10622541C22semidirect
154. #10622283C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
173. D11×#95C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
209. C11×#123C2×C4semidirect
240. #66991C2×C4semidirect
241. #66990C2×C4semidirect
243. #66983C2×C4semidirect
245. C4×C22⋊D11C2×C4semidirect
312. #66951C2×C4semidirect
313. #66950C2×C4semidirect
314. #66947C2×C4semidirect
315. #66946C2×C4semidirect
320. #66938C2×C4semidirect
321. #66938C2×C4semidirect
322. #66937C2×C4semidirect
323. #66935C2×C4semidirect
327. C22⋊C4×D11C2×C4semidirect
328. #66932C2×C4semidirect
581. #2335D11semidirect
780. #389C2×D11semidirect
811. #388C2×D11semidirect
812. #388C2×D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
860. #380C2×D11semidirect
871. C4×C4⋊C4C2×D11semidirect
888. C4×C22⋊C4C2×D11semidirect
986. #123C4×D11semidirect
1346. C11#34454semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
#130717852
#130717802
#130717702
#130717532
#130717452
#130716842
#130716652
#130716592
#130716452
#130716302
#130716152
#130715962
#130715902
#130715472
#130714642
#130714632
#130714232
#130713962
#130713902
#130713882
#130713792
#130713042
#130712882
#130712782
#130712762
#130712482
C4×#669322
#130711572
#130710742
C11×#23352
#3445411