Finite Group Databasebeta

← #14913664

Subgroups — #14913664

Order 2816.

2376 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623062C211yesmaximal, characteristic
2#13071742C211yesmaximal, characteristic, complemented
3#13071732C211yesmaximal, characteristic, complemented
4#13071721C211yesmaximal, characteristic, complemented
5#13071718C211yesmaximal, characteristic, complemented
6#13071707C211yesmaximal, characteristic, complemented
7#13071638C211yesmaximal, characteristic, complemented
8#13071616C211yesmaximal, characteristic, complemented
9#13071606C211yesmaximal, characteristic
10#13071604C211yesmaximal, characteristic
11#13071576C211yesmaximal, characteristic, complemented
12#13071539C211yesmaximal, characteristic
13#13071496C211yesmaximal, characteristic, complemented
14#13071480C211yesmaximal, characteristic, complemented
15#13071470C211yesmaximal, characteristic, complemented
16#13071173C211yesmaximal, characteristic, complemented
17#13071173C211yesmaximal, characteristic, complemented
18#13071171C211yesmaximal, characteristic, complemented
19#13071166C211yesmaximal, characteristic, complemented
20#13071164C211yesmaximal, characteristic, complemented
21#13071150C211yesmaximal, characteristic, complemented
22#13071148C211yesmaximal, characteristic, complemented
23#13071135C211yesmaximal, characteristic
24#13071133C211yesmaximal, characteristic
25C4×#66940C211yesmaximal, characteristic, complemented
26C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
27#117×Dic11C211yesmaximal, characteristic, complemented
28#13070955C211yesmaximal, characteristic, complemented
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×#10622262C211yesmaximal, characteristic, complemented
31C11×#2343C211yesmaximal, characteristic, complemented
32C2×C11×#117C2211yescharacteristic
33C2×#66982C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×#66979C2211yescharacteristic
36C22×Dic11⋊C4C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41#10623062C4116yescomplemented
42C2×#66951C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66939C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C2×#66929C2211yescharacteristic
55C2×#66925C2211yescharacteristic
56C2×#66925C2211yescharacteristic
57C2×C42×D11C2211yescharacteristic
58C2×#66923C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C11×#383C2211yescharacteristic
67C11×#382C2211yescharacteristic
68C11×#381C2211yescharacteristic
69C4×C11×C4⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C11×#376C2211yescharacteristic
73C2×C11×#95C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622823C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622591C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91#10622586C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622559C2211yescharacteristic
98#10622556C2211yescharacteristic
99#10622555C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104C22⋊C4×Dic11C2211yescharacteristic
105C22⋊C4×Dic11C2211yescharacteristic
106#10622553C2211yescharacteristic
107C4×(C2×D11)⋊C4C2211yescharacteristic
108#10622546C2211yescharacteristic
109#10622546C2211yescharacteristic
110#10622546C2211yescharacteristic
111#10622545C2211yescharacteristic
112#10622545C2211yescharacteristic
113#10622545C2211yescharacteristic
114C4×Dic11⋊C4C2211yescharacteristic
115C4×Dic11⋊C4C2211yescharacteristic
116C4×Dic11⋊C4C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C42×Dic11C2211yescharacteristic
120C42×Dic11C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123C42×Dic11C2211yescharacteristic
124#10622283C2211yescharacteristic
125#10622282C2211yescharacteristic
126#10622282C2211yescharacteristic
127#10622282C2211yescharacteristic
128#10622282C2211yescharacteristic
129#10622282C2211yescharacteristic
130#10622281C2211yescharacteristic
131#10622280C2211yescharacteristic
132#10622279C2211yescharacteristic
133#10622279C2211yescharacteristic
134#10622279C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622279C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622268C2211yescharacteristic
142#10622268C2211yescharacteristic
143#10622267C2211yescharacteristic
144#10622267C2211yescharacteristic
145#10622267C2211yescharacteristic
146#10622267C2211yescharacteristic
147#10622266C2211yescharacteristic
148#10622266C2211yescharacteristic
149#10622265C2211yescharacteristic
150#10622265C2211yescharacteristic
151#10622265C2211yescharacteristic
152#10622265C2211yescharacteristic
153#10622265C2211yescharacteristic
154#10622265C2211yescharacteristic
155#10622265C2211yescharacteristic
156#10622265C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622264C2211yescharacteristic
159#10622263C2211yescharacteristic
160#10622263C2211yescharacteristic
161#10622262C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C11×#117C2×C418yescomplemented
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220#66982C2×C418yes—
221C4×C22⋊D11—24no—
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233#66979—24no—
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×Dic11⋊C4—24no—
240C2×Dic11⋊C4C2×C418yescomplemented
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×C4×Dic11—24no—
267C2×C4×Dic11—24no—
268C2×C4×Dic11—24no—
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
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
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
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
304#66951C2×C418yescomplemented
305#66949C2×C418yescomplemented
306#66942C2×C418yescomplemented
307#66942C2×C418yescomplemented
308#66940—24no—
309#66940—24no—
310#66939C2×C418yes—
311(C22⋊D11)⋊C4—24no—
312(C22⋊D11)⋊C4C2×C418yes—
313#66931C2×C418yescomplemented
314#66930—24no—
315#66930C2×C418yescomplemented
316#66929C2×C418yescomplemented
317#66925—24no—
318#66925C2×C418yescomplemented
319C42×D11—24no—
320#66923C2×C418yescomplemented
321C4×Dic22C2×C418yescomplemented
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
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
370C4×#552—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11C22×C414yes—
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11C22×C414yes—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—41no—
408C22×Dic11C22×C414yes—
409C22×Dic11C22×C414yes—
410C22×Dic11#4114yes—
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—41no—
434C2×C4×D11C22×C414yes—
435C2×Dic22—22no—
436C2×Dic22—22no—
437C2×Dic22C22×C414yes—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4C22×C414yes—
443C11×C4⋊C4C22×C414yes—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4C22×C414yes—
447C11×C22⋊C4C22×C414yes—
448C42×C11—22no—
449C42×C11—22no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11C22×C414yes—
453C42×C11C22×C414yes—
454C22⋊Dic11—22no—
455C22⋊Dic11C22×C414yes—
456C22⋊Dic11#4114yes—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4C22×C414yes—
464(C2×D11)⋊C4C22×C414yes—
465(C2×D11)⋊C4C22×C414yes—
466(C2×D11)⋊C4C22×C414yes—
467(C2×D11)⋊C4C22×C414yes—
468C4⋊Dic11—22no—
469C4⋊Dic11—22no—
470C4⋊Dic11C22×C414yes—
471C4⋊Dic11C22×C414yes—
472C4⋊Dic11C22×C414yes—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4C22×C414yes—
487Dic11⋊C4C22×C414yes—
488Dic11⋊C4C22×C414yes—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
494Dic11⋊C4C22×C414yes—
495Dic11⋊C4C22×C414yes—
496Dic11⋊C4C22×C414yes—
497Dic11⋊C4#4114yes—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11C22×C414yes—
530C4×Dic11C22×C414yes—
531C4×Dic11C22×C414yes—
532C4×Dic11#4114yes—
533C2×#552—111no—
534#2373—111no—
535#2373—111no—
536#2371—111no—
537#2371—111no—
538#2370—111no—
539#2362—111no—
540#2360—111no—
541#2359—111no—
542#2359—111no—
543#2356—111no—
544#2352—111no—
545#2346—111no—
546#2344—111no—
547#2343—111no—
548#2343D1111yescharacteristic, complemented
549C4×#125—111no—
550C4×#125—111no—
551C4×#125—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×C22⋊Q8—111no—
555C4×C22⋊Q8—111no—
556C4×#123—111no—
557C4×#123—111no—
558C42×Q8—111no—
559C42×D4—111no—
560C4×#117—111no—
561C4×#117—111no—
562C4×#117—111no—
563C2×C4×C4⋊C4—111no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11C23×C412yes—
569C23×C11C2×#4112yes—
570C23×C11C2×#4112yes—
571C23×C11C2511yescharacteristic
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11C23×C412yes—
579C2×C4×C11—28no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—44no—
615C2×C4×C11—44no—
616C2×C4×C11C23×C412yes—
617C2×C4×C11C23×C412yes—
618C2×C4×C11C23×C412yes—
619C2×C4×C11C23×C412yes—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C22⋊D11—28no—
625C2×Dic11—28no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—28no—
647C2×Dic11—28no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—44no—
658C2×Dic11C23×C412yes—
659C2×Dic11C23×C412yes—
660C2×Dic11C23×C412yes—
661C2×Dic11C23×C412yes—
662C2×Dic11C23×C412yes—
663C2×Dic11C23×C412yes—
664C2×Dic11C23×C412yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670C2×Dic11C2×#4112yes—
671C2×Dic11C2×#4112yes—
672C2×Dic11C2×#4112yes—
673C2×Dic112−1+412yes—
674C4×D11—28no—
675C4×D11—44no—
676C4×D11—44no—
677Dic22—28no—
678#552—1116no—
679C2×#126—111no—
680C2×#126—111no—
681C2×#125—111no—
682C2×#125—111no—
683C2×#125—111no—
684C2×#123—111no—
685C2×#123—111no—
686C2×C22⋊Q8—111no—
687C2×C22⋊Q8—111no—
688C2×C4×Q8—111no—
689C2×C4×Q8—111no—
690C2×C4×Q8—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4—111no—
694C2×#117—111no—
695C2×#117—111no—
696C2×#117—111no—
697C2×#117—111no—
698C2×#117—111no—
699C2×#117C2×D1111yescharacteristic
700C22×C4⋊C4—111no—
701C22×C4⋊C4—111no—
702C22×C42—111no—
703C22×C42—111no—
704C22×C42—111no—
705C22×C42—111no—
706#391—111no—
707#391—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387C2×D1111yescharacteristic
749#387C2×D1111yescharacteristic
750#387C2×D1111yescharacteristic
751#387C2×D1111yescharacteristic
752#386—111no—
753#386—111no—
754#385—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385C2×D1111yescharacteristic
759#385C2×D1111yescharacteristic
760#383—111no—
761#383C2×D1111yescharacteristic
762#382—111no—
763#382—111no—
764#382C2×D1111yescharacteristic
765#381—111no—
766#381C2×D1111yescharacteristic
767#380—111no—
768#380—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4C2×D1111yescharacteristic
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4C2×D1111yescharacteristic
820C4×C22⋊C4C2×D1111yescharacteristic
821#376—111no—
822#376—111no—
823#376—111no—
824#376—111no—
825#376—111no—
826#376C2×D1111yescharacteristic
827C2×#95—111no—
828C2×#95C2×D1111yescharacteristic
829C43—111no—
830C43—111no—
831C43—111no—
832C43—111no—
833C43—111no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11C4×#4114yes—
841C22×C11C24×C411yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C22×#4111yescharacteristic
846C22×C11C2×2−1+411yescharacteristic
847C22×C11#58511yescharacteristic
848C2×D11—22no—
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C4×C11—22no—
856C4×C11—22no—
857C4×C11—22no—
858C4×C11—22no—
859C4×C11—22no—
860C4×C11—22no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869Dic11—22no—
870Dic11—22no—
871Dic11—22no—
872Dic11—22no—
873Dic11—22no—
874Dic11—22no—
875Dic11—22no—
876Dic11—22no—
877Dic11—22no—
878Dic11—22no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11C4×#4114yes—
883Dic11#55214yescomplemented
884C22×Q8—111no—
885C22×D4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4—111no—
892C23×C4—111no—
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1111yescharacteristic
896#126—118no—
897#126—118no—
898#125—118no—
899#125—118no—
900#125—118no—
901#123—118no—
902#123—118no—
903C22⋊Q8—118no—
904C22⋊Q8—118no—
905C4×Q8—118no—
906C4×Q8—224no—
907C4×Q8—224no—
908C4×D4—118no—
909C4×D4—224no—
910C4×D4—224no—
911#117—118no—
912#117—118no—
913#117—224no—
914#117—224no—
915#117—224no—
916#117C4×D1118yescomplemented
917C2×C4⋊C4—118no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—224no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—224no—
1009C2×C42—224no—
1010C2×C42—224no—
1011C2×C42—224no—
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95C22×D1111yescharacteristic
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066C2×C11—24no—
1067C2×C11C2×C4×#4111yescharacteristic
1068C2×C11C2×C4×#4111yescharacteristic
1069C2×C11C4×2−1+411yescharacteristic
1070C2×C11C2×#55211yescharacteristic
1071C2×C11#347511yescharacteristic
1072C2×C11#347511yescharacteristic
1073C2×C11#348211yescharacteristic
1074D11—42no—
1075C24—111no—
1076C24C23×D1111yescharacteristic
1077C2×Q8—114no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×D4—114no—
1081C2×D4—222no—
1082C2×D4—222no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—114no—
1094C22×C4—114no—
1095C22×C4—114no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—114no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4C2×C4×D1114yes—
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—114no—
1147C4⋊C4—114no—
1148C4⋊C4—114no—
1149C4⋊C4—114no—
1150C4⋊C4—114no—
1151C4⋊C4—114no—
1152C4⋊C4—114no—
1153C4⋊C4—114no—
1154C4⋊C4—114no—
1155C4⋊C4—114no—
1156C4⋊C4—114no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—114no—
1160C4⋊C4—114no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4C2×C4×D1114yes—
1177C4⋊C4C2×C4×D1114yes—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—114no—
1181C22⋊C4—114no—
1182C22⋊C4—114no—
1183C22⋊C4—114no—
1184C22⋊C4—114no—
1185C22⋊C4—114no—
1186C22⋊C4—114no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C22⋊C4C2×C4×D1114yes—
1195C22⋊C4C2×C4×D1114yes—
1196C42—22no—
1197C42—22no—
1198C42—41no—
1199C42—41no—
1200C42—114no—
1201C42—114no—
1202C42—114no—
1203C42—114no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42C2×C4×D1114yes—
1236C42C2×C4×D1114yes—
1237C11C4×#55211yescharacteristic, complemented, Sylow
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—112no—
1243C23—221no—
1244C23—221no—
1245C23—221no—
1246C23—221no—
1247C23—221no—
1248C23—221no—
1249C23C22×C4×D1112yes—
1250C23#41×D1112yes—
1251C23#41×D1112yes—
1252C23C24×D1111yescharacteristic
1253Q8—228no—
1254D4—228no—
1255C2×C4—28no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—44no—
1291C2×C4—44no—
1292C2×C4—112no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—112no—
1297C2×C4—112no—
1298C2×C4—112no—
1299C2×C4—112no—
1300C2×C4—112no—
1301C2×C4—112no—
1302C2×C4—112no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—228no—
1309C2×C4—228no—
1310C2×C4—228no—
1311C2×C4—228no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—444no—
1342C2×C4—444no—
1343C2×C4—444no—
1344C2×C4C22×C4×D1112yes—
1345C2×C4C22×C4×D1112yes—
1346C2×C4C22×C4×D1112yes—
1347C2×C4C22×C4×D1112yes—
1348C2×C4C22×C4×D1112yes—
1349C2×C4C22×C4×D1112yes—
1350C2×C4#41×D1112yes—
1351C2×C4#41×D1112yes—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—222no—
1359C22—222no—
1360C22—222no—
1361C22—441no—
1362C22—441no—
1363C22—441no—
1364C22—441no—
1365C22#1062305314yes—
1366C22C23×C4×D1111yescharacteristic
1367C22C2×#41×D1111yescharacteristic
1368C22C2×#41×D1111yescharacteristic
1369C22C2×#41×D1111yescharacteristic
1370C22C2×#41×D1111yescharacteristic
1371C22#1062345511yescharacteristic
1372C22D11×2−1+411yescharacteristic
1373C4—22no—
1374C4—22no—
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—22no—
1380C4—22no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—114no—
1388C4—114no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—222no—
1394C4—222no—
1395C4—222no—
1396C4—222no—
1397C4—222no—
1398C4—222no—
1399C4—441no—
1400C4—441no—
1401C4—441no—
1402C2—24no—
1403C2—442no—
1404C2C4×#41×D1111yescharacteristic
1405C2C2×#1062305311yescharacteristic
1406C2#1308182711yescharacteristic
1407C2D11×#55211yescharacteristic
1408C2#1308217111yescharacteristic
1409C2#1308217111yescharacteristic
1410C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2343C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenter#2343D11
hypocenterC11C4×#552
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #13071742C2semidirect
3. #13071732C2semidirect
4. #13071721C2semidirect
5. #13071718C2semidirect
6. #13071707C2semidirect
7. #13071638C2semidirect
8. #13071616C2semidirect
11. #13071576C2semidirect
13. #13071496C2semidirect
14. #13071480C2semidirect
15. #13071470C2semidirect
16. #13071173C2semidirect
17. #13071173C2semidirect
18. #13071171C2semidirect
19. #13071166C2semidirect
20. #13071164C2semidirect
21. #13071150C2semidirect
22. #13071148C2semidirect
25. C4×#66940C2semidirect
27. #117×Dic11C2semidirect
28. #13070955C2semidirect
29. C4×#66930C2semidirect
30. C2×#10622262C2semidirect
31. C11×#2343C2semidirect
41. #10623062C4semidirect
200. C11×#117C2×C4semidirect
240. C2×Dic11⋊C4C2×C4semidirect
304. #66951C2×C4semidirect
305. #66949C2×C4semidirect
306. #66942C2×C4semidirect
307. #66942C2×C4semidirect
313. #66931C2×C4semidirect
315. #66930C2×C4semidirect
316. #66929C2×C4semidirect
318. #66925C2×C4semidirect
320. #66923C2×C4semidirect
321. C4×Dic22C2×C4semidirect
548. #2343D11semidirect
883. Dic11#552semidirect
916. #117C4×D11semidirect
1237. C11C4×#552semidirect

Maximal subgroups

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

subgroupindex
C2×#106230622
#130717422
#130717322
#130717212
#130717182
#130717072
#130716382
#130716162
#130716062
#130716042
#130715762
#130715392
#130714962
#130714802
#130714702
#130711732
#130711712
#130711662
#130711642
#130711502
#130711482
#130711352
#130711332
C4×#669402
C4×(C22⋊D11)⋊C42
#117×Dic112
#130709552
C4×#669302
C2×#106222622
C11×#23432
C4×#55211