Finite Group Databasebeta

← #14913523

Subgroups — #14913523

Order 2816.

2542 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623237C211yesmaximal, characteristic
2#13071740C211yesmaximal, characteristic, complemented
3#13071736C211yesmaximal, characteristic, complemented
4#13071732C211yesmaximal, characteristic, complemented
5#13071713C211yesmaximal, characteristic, complemented
6#13071707C211yesmaximal, characteristic, complemented
7#13071688C211yesmaximal, characteristic, complemented
8#13071682C211yesmaximal, characteristic, complemented
9#13071635C211yesmaximal, characteristic
10#13071629C211yesmaximal, characteristic
11#13071624C211yesmaximal, characteristic, complemented
12#13071618C211yesmaximal, characteristic, complemented
13#13071613C211yesmaximal, characteristic, complemented
14#13071609C211yesmaximal, characteristic, complemented
15#13071605C211yesmaximal, characteristic, complemented
16#13071601C211yesmaximal, characteristic, complemented
17#13071110C211yesmaximal, characteristic, complemented
18#13071108C211yesmaximal, characteristic, complemented
19#13071097C211yesmaximal, characteristic, complemented
20#13071095C211yesmaximal, characteristic, complemented
21#13071089C211yesmaximal, characteristic, complemented
22#13071076C211yesmaximal, characteristic, complemented
23#13071058C211yesmaximal, characteristic, complemented
24#13071054C211yesmaximal, characteristic, complemented
25C4×#66940C211yesmaximal, characteristic, complemented
26C4×#66946C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
29#13070955C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2373C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36#10623237C4116yescomplemented
37C2×#66949C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×#66930C2211yescharacteristic
56C2×#66930C2211yescharacteristic
57C2×#66929C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×#66925C2211yescharacteristic
60C2×#66925C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C4×Dic22C2211yescharacteristic
66C11×#389C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#387C2211yescharacteristic
71C11×#387C2211yescharacteristic
72C11×#387C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic
75C4×C11×C4⋊C4C2211yescharacteristic
76C4×C11×C4⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic
79C11×#376C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622598C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622591C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×C4⋊Dic11C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622545C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C42×Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
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#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C11×#126C2×C418yescomplemented
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C4×C22⋊D11—24no—
233C4×C22⋊D11—24no—
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×C4×Dic11—42no—
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
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307#66949C2×C418yescomplemented
308#66947C2×C418yescomplemented
309#66946—24no—
310#66946C2×C418yescomplemented
311#66945—42no—
312#66945C2×C418yescomplemented
313C4⋊C4×D11—24no—
314C4⋊C4×D11—24no—
315#66942C2×C418yescomplemented
316#66940—24no—
317#66940C2×C418yescomplemented
318#66938C2×C418yescomplemented
319#66937C2×C418yes—
320#66936C2×C418yescomplemented
321(C22⋊D11)⋊C4—24no—
322(C22⋊D11)⋊C4—24no—
323(C22⋊D11)⋊C4C2×C418yescomplemented
324(C22⋊D11)⋊C4C2×C418yescomplemented
325#66930—42no—
326#66930C2×C418yescomplemented
327#66929C2×C418yescomplemented
328C4×D44—24no—
329#66925—24no—
330#66925—24no—
331C42×D11—42no—
332C42×D11—42no—
333C42×D11—42no—
334C42×D11C2×C418yescomplemented
335C4×Dic22—24no—
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#34153—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—41no—
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
396C22×C4×C11C2411yescharacteristic
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11C22×C414yes—
402C2×C22⋊D11C22×C414yes—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—41no—
408C22×Dic11C22×C414yes—
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×D44—22no—
424C2×D44—22no—
425C2×D44C22×C414yes—
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—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
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×D11C22×C414yes—
453C2×C4×D11C22×C414yes—
454C2×C4×D11C22×C414yes—
455C2×C4×D11C22×C414yes—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22C22×C414yes—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4C22×C414yes—
471C11×C22⋊C4C22×C414yes—
472C11×C22⋊C4C22×C414yes—
473C42×C11—22no—
474C42×C11—22no—
475C42×C11—22no—
476C42×C11—22no—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11C22×C414yes—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—41no—
484C22⋊Dic11C22×C414yes—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496(C2×D11)⋊C4C22×C414yes—
497(C2×D11)⋊C4C22×C414yes—
498(C2×D11)⋊C4C22×C414yes—
499(C2×D11)⋊C4#4114yes—
500(C2×D11)⋊C4#4114yes—
501C4⋊Dic11—22no—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—41no—
506C4⋊Dic11C22×C414yes—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525Dic11⋊C4#4114yes—
526Dic11⋊C4#4114yes—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11C22×C414yes—
553C4×Dic11C22×C414yes—
554C4×Dic11C22×C414yes—
555C4×Dic11C22×C414yes—
556C4×Dic11C22×C414yes—
557C2×#529—111no—
558#2373—111no—
559#2373—111no—
560#2373—111no—
561#2373D1111yescharacteristic, complemented
562#2370—111no—
563#2370—111no—
564#2367—111no—
565#2367—111no—
566#2361—111no—
567#2361—111no—
568#2360—111no—
569#2360—111no—
570#2359—111no—
571#2359—111no—
572#2359—111no—
573#2359—111no—
574#2298—111no—
575#2298—111no—
576#2296—111no—
577#2296—111no—
578#2295—111no—
579#2293—111no—
580#2290—111no—
581#2290—111no—
582C42×Q8—111no—
583C42×D4—111no—
584C42×D4—111no—
585C42×D4—111no—
586C4×#117—111no—
587C2×C4×C4⋊C4—111no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11C23×C412yes—
595C23×C11C2511yescharacteristic
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11C23×C412yes—
607C22×D11C23×C412yes—
608C22×D11C2×#4112yes—
609C22×D11C2×#4112yes—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—44no—
643C2×C4×C11C23×C412yes—
644C2×C4×C11C23×C412yes—
645C2×C4×C11C23×C412yes—
646C2×C4×C11C23×C412yes—
647C2×C4×C11C23×C412yes—
648C2×C4×C11C23×C412yes—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11C2×#4112yes—
652C2×C4×C11C2×#4112yes—
653C22⋊D11—28no—
654C22⋊D11—28no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—28no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—44no—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11C23×C412yes—
690C2×Dic11C23×C412yes—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C2×Dic11C2×#4112yes—
696C2×Dic11C2×#4112yes—
697C2×Dic11H(5,𝔽2)12yes—
698C2×Dic112−1+412yes—
699D44—28no—
700C4×D11—28no—
701C4×D11—28no—
702C4×D11—28no—
703C4×D11—28no—
704C4×D11—44no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710Dic22—28no—
711#529—1116no—
712C2×#126—111no—
713C2×#126C2×D1111yescharacteristic
714C2×#125—111no—
715C2×#124—111no—
716C2×#123—111no—
717C2×#123—111no—
718C2×C22⋊Q8—111no—
719C2×#121—111no—
720C2×C4×Q8—111no—
721C2×C4×Q8—111no—
722C2×C4×Q8—111no—
723C2×C4×D4—111no—
724C2×C4×D4—111no—
725C2×C4×D4—111no—
726C2×C4×D4—111no—
727C2×C4×D4—111no—
728C2×C4×D4—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×#117—111no—
733C2×#117—111no—
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117—111no—
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C42—111no—
741C22×C42—111no—
742C22×C42—111no—
743C22×C42—111no—
744C22×C42—111no—
745#391—111no—
746#391—111no—
747#390—111no—
748#390—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389C2×D1111yescharacteristic
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388C2×D1111yescharacteristic
775#388C2×D1111yescharacteristic
776#388C2×D1111yescharacteristic
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387C2×D1111yescharacteristic
791#387C2×D1111yescharacteristic
792#387C2×D1111yescharacteristic
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385C2×D1111yescharacteristic
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4C2×D1111yescharacteristic
835C4×C4⋊C4C2×D1111yescharacteristic
836C4×C4⋊C4C2×D1111yescharacteristic
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4C2×D1111yescharacteristic
856C4×C22⋊C4C2×D1111yescharacteristic
857#376—111no—
858#376—111no—
859#376—111no—
860#376C2×D1111yescharacteristic
861C2×#95—111no—
862C2×#95—111no—
863C43—111no—
864C43—111no—
865C43—111no—
866C43—111no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11C24×C411yescharacteristic
875C22×C11C22×#4111yescharacteristic
876C22×C11C22×#4111yescharacteristic
877C22×C11C22×#4111yescharacteristic
878C22×C11C22×#4111yescharacteristic
879C22×C11C2×H(5,𝔽2)11yescharacteristic
880C22×C11C2×2−1+411yescharacteristic
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11C4×#4114yes—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—22no—
903C4×C11—22no—
904C4×C11—22no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—22no—
913Dic11—22no—
914Dic11—22no—
915Dic11—22no—
916Dic11—22no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11C4×#4114yes—
922Dic11#52014yes—
923C22×Q8—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4C22×D1111yescharacteristic
940#126—118no—
941#126C4×D1118yescomplemented
942#125—118no—
943#124—118no—
944#123—118no—
945#123—118no—
946C22⋊Q8—118no—
947#121—118no—
948C4×Q8—118no—
949C4×Q8—224no—
950C4×Q8—224no—
951C4×D4—118no—
952C4×D4—118no—
953C4×D4—118no—
954C4×D4—224no—
955C4×D4—224no—
956C4×D4—224no—
957C4×D4—224no—
958C4×D4—224no—
959C4×D4—224no—
960#117—118no—
961#117—118no—
962#117—224no—
963#117—224no—
964#117—442no—
965#117—442no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—224no—
993C2×C4⋊C4—224no—
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1111yescharacteristic
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C22⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4C22×D1111yescharacteristic
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—118no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—442no—
1060C2×C42—442no—
1061C2×C42—442no—
1062C2×C42—442no—
1063C2×C42C22×D1111yescharacteristic
1064C2×C42C22×D1111yescharacteristic
1065C2×C42C22×D1111yescharacteristic
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111C2×C11—42no—
1112C2×C11C2×C4×#4111yescharacteristic
1113C2×C11C2×C4×#4111yescharacteristic
1114C2×C11C2×#52011yescharacteristic
1115C2×C11#348111yescharacteristic
1116C2×C11#348111yescharacteristic
1117C2×C11#348211yescharacteristic
1118C2×C11#348211yescharacteristic
1119D11—24no—
1120D11—42no—
1121C24—111no—
1122C24—111no—
1123C24C23×D1111yescharacteristic
1124C2×Q8—114no—
1125C2×Q8—222no—
1126C2×Q8—222no—
1127C2×D4—114no—
1128C2×D4—114no—
1129C2×D4—114no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—41no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—114no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—114no—
1151C22×C4—114no—
1152C22×C4—114no—
1153C22×C4—114no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—41no—
1208C4⋊C4—114no—
1209C4⋊C4—114no—
1210C4⋊C4—114no—
1211C4⋊C4—114no—
1212C4⋊C4—114no—
1213C4⋊C4—114no—
1214C4⋊C4—114no—
1215C4⋊C4—114no—
1216C4⋊C4—114no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4C2×C4×D1114yes—
1235C4⋊C4C2×C4×D1114yes—
1236C4⋊C4C2×C4×D1114yes—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—41no—
1240C22⋊C4—114no—
1241C22⋊C4—114no—
1242C22⋊C4—114no—
1243C22⋊C4—114no—
1244C22⋊C4—114no—
1245C22⋊C4—114no—
1246C22⋊C4—114no—
1247C22⋊C4—114no—
1248C22⋊C4—114no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4C2×C4×D1114yes—
1261C22⋊C4C2×C4×D1114yes—
1262C22⋊C4C2×C4×D1114yes—
1263C42—22no—
1264C42—22no—
1265C42—22no—
1266C42—22no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—114no—
1271C42—114no—
1272C42—114no—
1273C42—114no—
1274C42—114no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—222no—
1279C42—222no—
1280C42—222no—
1281C42—222no—
1282C42—222no—
1283C42—222no—
1284C42—222no—
1285C42—222no—
1286C42—222no—
1287C42—222no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—222no—
1295C42—441no—
1296C42—441no—
1297C42—441no—
1298C42—441no—
1299C42—441no—
1300C42C2×C4×D1114yes—
1301C11#3415311yescharacteristic, complemented, Sylow
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—112no—
1309C23—112no—
1310C23—112no—
1311C23—112no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23C22×C4×D1112yes—
1323C23C24×D1111yescharacteristic
1324Q8—228no—
1325D4—228no—
1326D4—228no—
1327D4—228no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—44no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—112no—
1368C2×C4—112no—
1369C2×C4—112no—
1370C2×C4—112no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—112no—
1375C2×C4—228no—
1376C2×C4—228no—
1377C2×C4—228no—
1378C2×C4—228no—
1379C2×C4—228no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4C22×C4×D1112yes—
1416C2×C4C22×C4×D1112yes—
1417C2×C4C22×C4×D1112yes—
1418C2×C4C22×C4×D1112yes—
1419C2×C4C22×C4×D1112yes—
1420C2×C4C22×C4×D1112yes—
1421C2×C4#41×D1112yes—
1422C2×C4#41×D1112yes—
1423C2×C4#41×D1112yes—
1424C2×C4#41×D1112yes—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—114no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—222no—
1440C22—222no—
1441C22—222no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22C23×C4×D1111yescharacteristic
1447C22C2×#41×D1111yescharacteristic
1448C22C2×#41×D1111yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22C2×#41×D1111yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×2−1+411yescharacteristic
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—114no—
1468C4—114no—
1469C4—222no—
1470C4—222no—
1471C4—222no—
1472C4—222no—
1473C4—222no—
1474C4—222no—
1475C4—222no—
1476C4—222no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—42no—
1482C2—224no—
1483C2—442no—
1484C2C4×#41×D1111yescharacteristic
1485C2C4×#41×D1111yescharacteristic
1486C2D11×#52011yescharacteristic
1487C2#1308221911yescharacteristic
1488C2#1308222311yescharacteristic
1489C2#1308223011yescharacteristic
1490C2#1308223511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2373C2
socle, cosocleC23×C11C25
prime radicalC2×#66937C22
hypercenter#2373D11
hypocenterC11#34153
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #13071740C2semidirect
3. #13071736C2semidirect
4. #13071732C2semidirect
5. #13071713C2semidirect
6. #13071707C2semidirect
7. #13071688C2semidirect
8. #13071682C2semidirect
11. #13071624C2semidirect
12. #13071618C2semidirect
13. #13071613C2semidirect
14. #13071609C2semidirect
15. #13071605C2semidirect
16. #13071601C2semidirect
17. #13071110C2semidirect
18. #13071108C2semidirect
19. #13071097C2semidirect
20. #13071095C2semidirect
21. #13071089C2semidirect
22. #13071076C2semidirect
23. #13071058C2semidirect
24. #13071054C2semidirect
25. C4×#66940C2semidirect
26. C4×#66946C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×(C22⋊D11)⋊C4C2semidirect
29. #13070955C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2373C2semidirect
36. #10623237C4semidirect
205. C11×#126C2×C4semidirect
307. #66949C2×C4semidirect
308. #66947C2×C4semidirect
310. #66946C2×C4semidirect
312. #66945C2×C4semidirect
315. #66942C2×C4semidirect
317. #66940C2×C4semidirect
318. #66938C2×C4semidirect
320. #66936C2×C4semidirect
323. (C22⋊D11)⋊C4C2×C4semidirect
324. (C22⋊D11)⋊C4C2×C4semidirect
326. #66930C2×C4semidirect
327. #66929C2×C4semidirect
334. C42×D11C2×C4semidirect
561. #2373D11semidirect
941. #126C4×D11semidirect
1301. C11#34153semidirect

Maximal subgroups

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

subgroupindex
C2×#106232372
#130717402
#130717362
#130717322
#130717132
#130717072
#130716882
#130716822
#130716352
#130716292
#130716242
#130716182
#130716132
#130716092
#130716052
#130716012
#130711102
#130711082
#130710972
#130710952
#130710892
#130710762
#130710582
#130710542
C4×#669402
C4×#669462
C4×(C22⋊D11)⋊C42
#130709552
C4×C4⋊C4×D112
C11×#23732
#3415311