Finite Group Databasebeta

← #14914683

Subgroups — #14914683

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#13071742C211yesmaximal, characteristic, complemented
3#13071741C211yesmaximal, characteristic, complemented
4#13071738C211yesmaximal, characteristic, complemented
5#13071737C211yesmaximal, characteristic, complemented
6#13071734C211yesmaximal, characteristic, complemented
7#13071733C211yesmaximal, characteristic, complemented
8#13071730C211yesmaximal, characteristic, complemented
9#13071729C211yesmaximal, characteristic, complemented
10#13071490C211yesmaximal, characteristic, complemented
11#13071489C211yesmaximal, characteristic, complemented
12#13071482C211yesmaximal, characteristic, complemented
13#13071481C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic
15#13071460C211yesmaximal, characteristic
16#13071459C211yesmaximal, characteristic
17#13071459C211yesmaximal, characteristic
18#13071397C211yesmaximal, characteristic, complemented
19#13071393C211yesmaximal, characteristic, complemented
20#13071389C211yesmaximal, characteristic, complemented
21#13071385C211yesmaximal, characteristic, complemented
22#13071215C211yesmaximal, characteristic, complemented
23#13071210C211yesmaximal, characteristic
24#126×Dic11C211yesmaximal, characteristic, complemented
25C4×#66929C211yesmaximal, characteristic, complemented
26#13071164C211yesmaximal, characteristic, complemented
27#13071013C211yesmaximal, characteristic, complemented
28#13070970C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic
30C4×#66925C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34D11×#126C4116yescomplemented
35C2×#66951C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×#66932C2211yescharacteristic
47C2×#66932C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×#66929C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C2×#66925C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#383C2211yescharacteristic, complemented
61C4×C11×C4⋊C4C2211yescharacteristic, complemented
62C4×C11×C4⋊C4C2211yescharacteristic, complemented
63C4×C11×C4⋊C4C2211yescharacteristic, complemented
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C43×C11C2211yescharacteristic, complemented
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622600C2211yescharacteristic
75#10622600C2211yescharacteristic
76#10622594C2211yescharacteristic, complemented
77#10622594C2211yescharacteristic, complemented
78#10622594C2211yescharacteristic, complemented
79#10622591C2211yescharacteristic, complemented
80C4⋊C4×Dic11C2211yescharacteristic, complemented
81C4⋊C4×Dic11C2211yescharacteristic, complemented
82C4⋊C4×Dic11C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84#10622586C2211yescharacteristic, complemented
85#10622586C2211yescharacteristic, complemented
86#10622585C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622568C2211yescharacteristic
89#10622568C2211yescharacteristic
90#10622564C2211yescharacteristic
91#10622564C2211yescharacteristic
92#10622564C2211yescharacteristic
93#10622559C2211yescharacteristic
94#10622559C2211yescharacteristic
95#10622558C2211yescharacteristic
96#10622558C2211yescharacteristic
97#10622558C2211yescharacteristic
98#10622557C2211yescharacteristic
99#10622557C2211yescharacteristic
100#10622557C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104C22⋊C4×Dic11C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110C4×(C2×D11)⋊C4C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120#10622550C2211yescharacteristic, complemented
121C4×C4⋊Dic11C2211yescharacteristic, complemented
122#10622546C2211yescharacteristic, complemented
123#10622546C2211yescharacteristic, complemented
124#10622546C2211yescharacteristic, complemented
125#10622546C2211yescharacteristic, complemented
126#10622546C2211yescharacteristic, complemented
127#10622545C2211yescharacteristic, complemented
128#10622545C2211yescharacteristic, complemented
129C4×Dic11⋊C4C2211yescharacteristic, complemented
130C4×Dic11⋊C4C2211yescharacteristic, complemented
131C4×Dic11⋊C4C2211yescharacteristic, complemented
132C4×Dic11⋊C4C2211yescharacteristic, complemented
133C4×Dic11⋊C4C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C42×Dic11C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
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#10622267C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622266C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, 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×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
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×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×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×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—
301C4⋊C4×D11C2×C418yescomplemented
302C4⋊C4×D11C2×C418yescomplemented
303C4⋊C4×D11C2×C418yescomplemented
304C22⋊C4×D11—24no—
305C22⋊C4×D11C2×C418yes—
306C22⋊C4×D11C2×C418yes—
307C22⋊C4×D11C2×C418yes—
308#66932C2×C418yescomplemented
309#66932C2×C418yescomplemented
310#66932C2×C418yescomplemented
311#66929C2×C418yescomplemented
312#66925—24no—
313#66925—24no—
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—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4C22×C414yes—
437C11×C4⋊C4C22×C414yes—
438C11×C4⋊C4C22×C414yes—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4C22×C414yes—
443C11×C22⋊C4C22×C414yes—
444C11×C22⋊C4C22×C414yes—
445C42×C11—22no—
446C42×C11—22no—
447C42×C11—22no—
448C42×C11—41no—
449C42×C11—41no—
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—41no—
483C4⋊Dic11—41no—
484C4⋊Dic11C22×C414yes—
485C4⋊Dic11C22×C414yes—
486C4⋊Dic11C22×C414yes—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4C22×C414yes—
502Dic11⋊C4C22×C414yes—
503Dic11⋊C4C22×C414yes—
504Dic11⋊C4C22×C414yes—
505Dic11⋊C4C22×C414yes—
506Dic11⋊C4C22×C414yes—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
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#2334—111no—
550#2313—111no—
551#2312—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×#126—111no—
555C4×#126D1111yescharacteristic, complemented
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#389—111no—
712#389—111no—
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#385—111no—
768#385—111no—
769#383—111no—
770#383C2×D1111yescharacteristic, complemented
771#382—111no—
772#382—111no—
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⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
831C4×C22⋊C4C2×D1111yescharacteristic
832C4×C22⋊C4C2×D1111yescharacteristic
833#376—111no—
834#376—111no—
835#376—111no—
836#376—111no—
837C43—111no—
838C43C2×D1111yescharacteristic, complemented
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⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
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×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
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—41no—
1152C4⋊C4—41no—
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—114no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
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—22no—
1216C42—22no—
1217C42—41no—
1218C42—41no—
1219C42—41no—
1220C42—41no—
1221C42—41no—
1222C42—41no—
1223C42—114no—
1224C42—114no—
1225C42—114no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
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#1062345311yescharacteristic
1396C22#1062345311yescharacteristic
1397C22#1062345311yescharacteristic
1398C22#1062345311yescharacteristic
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#1308181511yescharacteristic
1432C2#1308181511yescharacteristic
1433C2#1308267011yescharacteristic
1434C2#1308267611yescharacteristic
1435C2#1308267811yescharacteristic
1436C2#1308268811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#126C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenterC4×#126D11
hypocenterC11#34247
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #13071742C2semidirect
3. #13071741C2semidirect
4. #13071738C2semidirect
5. #13071737C2semidirect
6. #13071734C2semidirect
7. #13071733C2semidirect
8. #13071730C2semidirect
9. #13071729C2semidirect
10. #13071490C2semidirect
11. #13071489C2semidirect
12. #13071482C2semidirect
13. #13071481C2semidirect
18. #13071397C2semidirect
19. #13071393C2semidirect
20. #13071389C2semidirect
21. #13071385C2semidirect
22. #13071215C2semidirect
24. #126×Dic11C2semidirect
25. C4×#66929C2semidirect
26. #13071164C2semidirect
27. #13071013C2semidirect
28. #13070970C2semidirect
30. C4×#66925C2semidirect
31. C4×C11×#126C2semidirect
34. D11×#126C4semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C11×#387C22semidirect
60. C11×#383C22semidirect
61. C4×C11×C4⋊C4C22semidirect
62. C4×C11×C4⋊C4C22semidirect
63. C4×C11×C4⋊C4C22semidirect
67. C43×C11C22semidirect
76. #10622594C22semidirect
77. #10622594C22semidirect
78. #10622594C22semidirect
79. #10622591C22semidirect
80. C4⋊C4×Dic11C22semidirect
81. C4⋊C4×Dic11C22semidirect
82. C4⋊C4×Dic11C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. #10622586C22semidirect
85. #10622586C22semidirect
86. #10622585C22semidirect
87. #10622585C22semidirect
120. #10622550C22semidirect
121. C4×C4⋊Dic11C22semidirect
122. #10622546C22semidirect
123. #10622546C22semidirect
124. #10622546C22semidirect
125. #10622546C22semidirect
126. #10622546C22semidirect
127. #10622545C22semidirect
128. #10622545C22semidirect
129. C4×Dic11⋊C4C22semidirect
130. C4×Dic11⋊C4C22semidirect
131. C4×Dic11⋊C4C22semidirect
132. C4×Dic11⋊C4C22semidirect
133. C4×Dic11⋊C4C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C42×Dic11C22semidirect
138. #10622541C22semidirect
139. #10622541C22semidirect
164. #10622268C22semidirect
165. #10622267C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622266C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622263C22semidirect
177. #10622263C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
199. C11×#126C2×C4semidirect
297. #66951C2×C4semidirect
298. #66951C2×C4semidirect
299. #66951C2×C4semidirect
301. C4⋊C4×D11C2×C4semidirect
302. C4⋊C4×D11C2×C4semidirect
303. C4⋊C4×D11C2×C4semidirect
308. #66932C2×C4semidirect
309. #66932C2×C4semidirect
310. #66932C2×C4semidirect
311. #66929C2×C4semidirect
315. C42×D11C2×C4semidirect
555. C4×#126D11semidirect
758. #387C2×D11semidirect
759. #387C2×D11semidirect
760. #387C2×D11semidirect
770. #383C2×D11semidirect
804. C4×C4⋊C4C2×D11semidirect
805. C4×C4⋊C4C2×D11semidirect
806. C4×C4⋊C4C2×D11semidirect
838. C43C2×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
#130717422
#130717412
#130717382
#130717372
#130717342
#130717332
#130717302
#130717292
#130714902
#130714892
#130714822
#130714812
#130714642
#130714602
#130714592
#130713972
#130713932
#130713892
#130713852
#130712152
#130712102
#126×Dic112
C4×#669292
#130711642
#130710132
#130709702
#130709682
C4×#669252
C4×C11×#1262
#3424711