Finite Group Databasebeta

← #14914687

Subgroups — #14914687

Order 2816.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#126C211yesmaximal, characteristic
2#13071743C211yesmaximal, characteristic, complemented
3#13071743C211yesmaximal, characteristic, complemented
4#13071739C211yesmaximal, characteristic, complemented
5#13071739C211yesmaximal, characteristic, complemented
6#13071735C211yesmaximal, characteristic, complemented
7#13071735C211yesmaximal, characteristic, complemented
8#13071731C211yesmaximal, characteristic, complemented
9#13071731C211yesmaximal, characteristic, complemented
10#13071492C211yesmaximal, characteristic, complemented
11#13071490C211yesmaximal, characteristic, complemented
12#13071484C211yesmaximal, characteristic, complemented
13#13071482C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic
15#13071463C211yesmaximal, characteristic
16#13071463C211yesmaximal, characteristic
17#13071460C211yesmaximal, characteristic
18#13071395C211yesmaximal, characteristic, complemented
19#13071391C211yesmaximal, characteristic, complemented
20#13071387C211yesmaximal, characteristic, complemented
21#13071215C211yesmaximal, characteristic, complemented
22#13071210C211yesmaximal, characteristic
23#13071170C211yesmaximal, characteristic, complemented
24C4×#66951C211yesmaximal, characteristic, complemented
25#13071166C211yesmaximal, characteristic, complemented
26C4×#66932C211yesmaximal, characteristic, complemented
27#13071009C211yesmaximal, characteristic, complemented
28#13070970C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic
30C4×#66945C211yesmaximal, characteristic, complemented
31C11×#2334C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34D11×#126C4116yescomplemented
35C2×#66951C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66945C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×#66932C2211yescharacteristic
50C2×#66932C2211yescharacteristic
51C2×#66929C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C11×#389C2211yescharacteristic, complemented
55C11×#389C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#382C2211yescharacteristic, complemented
65C4×C11×C4⋊C4C2211yescharacteristic, complemented
66C4×C11×C4⋊C4C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C22⋊Dic11C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622600C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622598C2211yescharacteristic, complemented
83#10622598C2211yescharacteristic, complemented
84#10622594C2211yescharacteristic, complemented
85#10622594C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94C4⋊C4×Dic11C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119#10622553C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622549C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130C4×C4⋊Dic11C2211yescharacteristic, complemented
131C4×C4⋊Dic11C2211yescharacteristic, complemented
132C4×C4⋊Dic11C2211yescharacteristic, complemented
133#10622546C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C42×Dic11C2211yescharacteristic, complemented
139C42×Dic11C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622268C2211yescharacteristic, complemented
168#10622268C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C11×#126C2×C418yescomplemented
200C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×(C2×D11)⋊C4—24no—
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
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×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
297#66951C2×C418yescomplemented
298#66951C2×C418yescomplemented
299#66951C2×C418yescomplemented
300#66945—24no—
301#66945—24no—
302#66945—24no—
303C4⋊C4×D11C2×C418yescomplemented
304C4⋊C4×D11C2×C418yescomplemented
305C4⋊C4×D11C2×C418yescomplemented
306C22⋊C4×D11—24no—
307C22⋊C4×D11C2×C418yes—
308C22⋊C4×D11C2×C418yes—
309C22⋊C4×D11C2×C418yes—
310#66932C2×C418yescomplemented
311#66932C2×C418yescomplemented
312#66932C2×C418yescomplemented
313#66929C2×C418yescomplemented
314#66925—24no—
315C42×D11C2×C418yescomplemented
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
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
364#34247—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C22×C414yes—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
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×Dic11—22no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11C22×C414yes—
428C2×C4×D11C22×C414yes—
429C2×C4×D11C22×C414yes—
430C2×C4×D11C22×C414yes—
431C2×C4×D11C22×C414yes—
432C2×C4×D11C22×C414yes—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4C22×C414yes—
441C11×C4⋊C4C22×C414yes—
442C11×C4⋊C4C22×C414yes—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4C22×C414yes—
447C11×C22⋊C4C22×C414yes—
448C11×C22⋊C4C22×C414yes—
449C42×C11—22no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C42×C11C22×C414yes—
455C22⋊Dic11—22no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11C22×C414yes—
459C22⋊Dic11C22×C414yes—
460C22⋊Dic11C22×C414yes—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4C22×C414yes—
474(C2×D11)⋊C4C22×C414yes—
475(C2×D11)⋊C4C22×C414yes—
476(C2×D11)⋊C4C22×C414yes—
477(C2×D11)⋊C4C22×C414yes—
478(C2×D11)⋊C4C22×C414yes—
479(C2×D11)⋊C4#4114yes—
480(C2×D11)⋊C4#4114yes—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11C22×C414yes—
489C4⋊Dic11C22×C414yes—
490C4⋊Dic11C22×C414yes—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4C22×C414yes—
498Dic11⋊C4C22×C414yes—
499Dic11⋊C4C22×C414yes—
500Dic11⋊C4C22×C414yes—
501Dic11⋊C4C22×C414yes—
502Dic11⋊C4C22×C414yes—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11C22×C414yes—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C22×#126—111no—
530#2373—111no—
531#2373—111no—
532#2373—111no—
533#2373—111no—
534#2373—111no—
535#2373—111no—
536#2373—111no—
537#2373—111no—
538#2345—111no—
539#2345—111no—
540#2344—111no—
541#2344—111no—
542#2342—111no—
543#2342—111no—
544#2342—111no—
545#2342—111no—
546#2334—111no—
547#2334—111no—
548#2334—111no—
549#2334D1111yescharacteristic, complemented
550#2313—111no—
551#2312—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×#126—111no—
555C4×#126—111no—
556#2283—111no—
557#2274—111no—
558#2273—111no—
559C4×#117—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C23×C412yes—
567C23×C11C2511yescharacteristic
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—28no—
579C22×D11—44no—
580C22×D11—44no—
581C22×D11—82no—
582C22×D11—82no—
583C22×D11—82no—
584C22×D11—82no—
585C22×D11C23×C412yes—
586C22×D11C23×C412yes—
587C22×D11C2×#4112yes—
588C22×D11C2×#4112yes—
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—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—82no—
624C2×C4×C11C23×C412yes—
625C2×C4×C11C23×C412yes—
626C2×C4×C11C23×C412yes—
627C2×C4×C11C23×C412yes—
628C2×C4×C11C23×C412yes—
629C2×C4×C11C23×C412yes—
630C2×C4×C11C2×#4112yes—
631C2×C4×C11C2×#4112yes—
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—21no—
647C2×Dic11—21no—
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—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—82no—
667C2×Dic11C23×C412yes—
668C2×Dic11C23×C412yes—
669C2×Dic11C23×C412yes—
670C2×Dic11C23×C412yes—
671C2×Dic11C23×C412yes—
672C2×Dic11C23×C412yes—
673C2×Dic11C2×#4112yes—
674C2×Dic11C2×#4112yes—
675C4×D11—28no—
676C4×D11—28no—
677C4×D11—44no—
678C4×D11—44no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—82no—
682C4×D11—82no—
683C2×#126—1116no—
684C2×#126—111no—
685C2×#126—111no—
686C2×#126—111no—
687C2×#126—111no—
688C2×#126—111no—
689C2×#126—111no—
690C2×#126—111no—
691C2×#126C2×D1111yescharacteristic
692C2×#117—111no—
693C2×#117—111no—
694C2×#117—111no—
695C2×#117—111no—
696C22×C4⋊C4—111no—
697C22×C4⋊C4—111no—
698C22×C4⋊C4—111no—
699C22×C22⋊C4—111no—
700C22×C22⋊C4—111no—
701C22×C22⋊C4—111no—
702C22×C22⋊C4—111no—
703C22×C22⋊C4—111no—
704C22×C42—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389C2×D1111yescharacteristic, complemented
712#389C2×D1111yescharacteristic, complemented
713#388—111no—
714#388—111no—
715#388—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#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388C2×D1111yescharacteristic
735#388C2×D1111yescharacteristic
736#388C2×D1111yescharacteristic
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#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387C2×D1111yescharacteristic, complemented
759#387C2×D1111yescharacteristic, complemented
760#387C2×D1111yescharacteristic, complemented
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385C2×D1111yescharacteristic
768#385C2×D1111yescharacteristic
769#383—111no—
770#383—111no—
771#382—111no—
772#382C2×D1111yescharacteristic, complemented
773#381—111no—
774#381—111no—
775#381—111no—
776#381—111no—
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781#380—111no—
782#380—111no—
783#379—111no—
784#379—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⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4C2×D1111yescharacteristic, complemented
806C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4C2×D1111yescharacteristic
833#376—111no—
834#376—111no—
835#376—111no—
836#376—111no—
837C43—111no—
838C43—111no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11C24×C411yescharacteristic
847C22×C11C22×#4111yescharacteristic
848C22×C11C22×#4111yescharacteristic
849C22×C11#58511yescharacteristic
850C22×C11#58511yescharacteristic
851C22×C11#58511yescharacteristic
852C22×C11#58511yescharacteristic
853C2×D11—22no—
854C2×D11—22no—
855C2×D11—22no—
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—22no—
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—88no—
867C2×D11C4×#4114yes—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—22no—
873C4×C11—22no—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—22no—
886Dic11—22no—
887Dic11—22no—
888Dic11—22no—
889Dic11—22no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896C25—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4C22×D1111yescharacteristic
907#126—118no—
908#126—118no—
909#126—118no—
910#126—118no—
911#126—118no—
912#126—118no—
913#126—118no—
914#126C4×D1118yescomplemented
915#117—224no—
916#117—224no—
917#117—224no—
918#117—224no—
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—118no—
929C2×C4⋊C4—118no—
930C2×C4⋊C4—118no—
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⋊C4C22×D1111yescharacteristic
945C2×C4⋊C4C22×D1111yescharacteristic
946C2×C4⋊C4C22×D1111yescharacteristic
947C2×C4⋊C4C22×D1111yescharacteristic
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4—111no—
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—118no—
966C2×C22⋊C4—118no—
967C2×C22⋊C4—118no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—224no—
984C2×C22⋊C4—224no—
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—118no—
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—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42C22×D1111yescharacteristic
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
1022C2×C42C22×D1111yescharacteristic
1023C2×C42C22×D1111yescharacteristic
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#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072C2×C11—42no—
1073C2×C11C2×C4×#4111yescharacteristic
1074C2×C11#342811yescharacteristic
1075C2×C11#342811yescharacteristic
1076C2×C11#352111yescharacteristic
1077C2×C11#352111yescharacteristic
1078C2×C11#352111yescharacteristic
1079C2×C11#352111yescharacteristic
1080D11—24no—
1081D11—42no—
1082C24—111no—
1083C24—111no—
1084C24—114no—
1085C24—222no—
1086C24—222no—
1087C24—441no—
1088C24—441no—
1089C24—441no—
1090C24—441no—
1091C24C23×D1111yescharacteristic
1092C22×C4—22no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—114no—
1104C22×C4—114no—
1105C22×C4—114no—
1106C22×C4—114no—
1107C22×C4—114no—
1108C22×C4—114no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—441no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—114no—
1160C4⋊C4—114no—
1161C4⋊C4—114no—
1162C4⋊C4—114no—
1163C4⋊C4—114no—
1164C4⋊C4—114no—
1165C4⋊C4—114no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4C2×C4×D1114yes—
1180C4⋊C4C2×C4×D1114yes—
1181C4⋊C4C2×C4×D1114yes—
1182C22⋊C4—22no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—114no—
1186C22⋊C4—114no—
1187C22⋊C4—114no—
1188C22⋊C4—114no—
1189C22⋊C4—114no—
1190C22⋊C4—114no—
1191C22⋊C4—114no—
1192C22⋊C4—114no—
1193C22⋊C4—114no—
1194C22⋊C4—114no—
1195C22⋊C4—114no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4C2×C4×D1114yes—
1212C22⋊C4C2×C4×D1114yes—
1213C22⋊C4C2×C4×D1114yes—
1214C42—22no—
1215C42—41no—
1216C42—41no—
1217C42—41no—
1218C42—41no—
1219C42—114no—
1220C42—114no—
1221C42—114no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42C2×C4×D1114yes—
1246C11#3424711yescharacteristic, complemented, Sylow
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—112no—
1254C23—112no—
1255C23—112no—
1256C23—112no—
1257C23—228no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—444no—
1269C23—444no—
1270C23—882no—
1271C23—882no—
1272C23—882no—
1273C23—882no—
1274C23C22×C4×D1112yes—
1275C23C24×D1111yescharacteristic
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—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—82no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—112no—
1315C2×C4—112no—
1316C2×C4—112no—
1317C2×C4—112no—
1318C2×C4—112no—
1319C2×C4—228no—
1320C2×C4—228no—
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—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—444no—
1356C2×C4—444no—
1357C2×C4—444no—
1358C2×C4—444no—
1359C2×C4—882no—
1360C2×C4—882no—
1361C2×C4—882no—
1362C2×C4C22×C4×D1112yes—
1363C2×C4C22×C4×D1112yes—
1364C2×C4C22×C4×D1112yes—
1365C2×C4C22×C4×D1112yes—
1366C2×C4C22×C4×D1112yes—
1367C2×C4C22×C4×D1112yes—
1368C2×C4#41×D1112yes—
1369C2×C4#41×D1112yes—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—114no—
1378C22—222no—
1379C22—222no—
1380C22—222no—
1381C22—222no—
1382C22—222no—
1383C22—222no—
1384C22—222no—
1385C22—222no—
1386C22—222no—
1387C22—441no—
1388C22—441no—
1389C22—441no—
1390C22—441no—
1391C22—888no—
1392C22C23×C4×D1111yescharacteristic
1393C22C2×#41×D1111yescharacteristic
1394C22C2×#41×D1111yescharacteristic
1395C22#1062345511yescharacteristic
1396C22#1062345511yescharacteristic
1397C22#1062345711yescharacteristic
1398C22#1062345711yescharacteristic
1399C4—22no—
1400C4—22no—
1401C4—22no—
1402C4—22no—
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—22no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—222no—
1414C4—222no—
1415C4—222no—
1416C4—222no—
1417C4—222no—
1418C4—222no—
1419C4—222no—
1420C4—222no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C2—42no—
1428C2—224no—
1429C2—442no—
1430C2C4×#41×D1111yescharacteristic
1431C2#1308181611yescharacteristic
1432C2#1308181611yescharacteristic
1433C2#1308267411yescharacteristic
1434C2#1308268011yescharacteristic
1435C2#1308268211yescharacteristic
1436C2#1308269011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2334C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenter#2334D11
hypocenterC11#34247
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #13071743C2semidirect
3. #13071743C2semidirect
4. #13071739C2semidirect
5. #13071739C2semidirect
6. #13071735C2semidirect
7. #13071735C2semidirect
8. #13071731C2semidirect
9. #13071731C2semidirect
10. #13071492C2semidirect
11. #13071490C2semidirect
12. #13071484C2semidirect
13. #13071482C2semidirect
18. #13071395C2semidirect
19. #13071391C2semidirect
20. #13071387C2semidirect
21. #13071215C2semidirect
23. #13071170C2semidirect
24. C4×#66951C2semidirect
25. #13071166C2semidirect
26. C4×#66932C2semidirect
27. #13071009C2semidirect
28. #13070970C2semidirect
30. C4×#66945C2semidirect
31. C11×#2334C2semidirect
34. D11×#126C4semidirect
54. C11×#389C22semidirect
55. C11×#389C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
64. C11×#382C22semidirect
65. C4×C11×C4⋊C4C22semidirect
66. C4×C11×C4⋊C4C22semidirect
82. #10622598C22semidirect
83. #10622598C22semidirect
84. #10622594C22semidirect
85. #10622594C22semidirect
86. #10622594C22semidirect
87. #10622591C22semidirect
88. #10622591C22semidirect
89. #10622591C22semidirect
90. #10622591C22semidirect
91. #10622591C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. C4⋊C4×Dic11C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. #10622585C22semidirect
101. #10622585C22semidirect
128. #10622549C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. C4×C4⋊Dic11C22semidirect
131. C4×C4⋊Dic11C22semidirect
132. C4×C4⋊Dic11C22semidirect
133. #10622546C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C42×Dic11C22semidirect
139. C42×Dic11C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622268C22semidirect
168. #10622268C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622265C22semidirect
176. #10622264C22semidirect
177. #10622264C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
199. C11×#126C2×C4semidirect
297. #66951C2×C4semidirect
298. #66951C2×C4semidirect
299. #66951C2×C4semidirect
303. C4⋊C4×D11C2×C4semidirect
304. C4⋊C4×D11C2×C4semidirect
305. C4⋊C4×D11C2×C4semidirect
310. #66932C2×C4semidirect
311. #66932C2×C4semidirect
312. #66932C2×C4semidirect
313. #66929C2×C4semidirect
315. C42×D11C2×C4semidirect
549. #2334D11semidirect
711. #389C2×D11semidirect
712. #389C2×D11semidirect
758. #387C2×D11semidirect
759. #387C2×D11semidirect
760. #387C2×D11semidirect
772. #382C2×D11semidirect
805. C4×C4⋊C4C2×D11semidirect
806. C4×C4⋊C4C2×D11semidirect
914. #126C4×D11semidirect
1246. C11#34247semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1262
#130717432
#130717392
#130717352
#130717312
#130714922
#130714902
#130714842
#130714822
#130714642
#130714632
#130714602
#130713952
#130713912
#130713872
#130712152
#130712102
#130711702
C4×#669512
#130711662
C4×#669322
#130710092
#130709702
#130709682
C4×#669452
C11×#23342
#3424711