Finite Group Databasebeta

← #14923671

Subgroups — #14923671

Order 2816.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073488C211yesmaximal, characteristic, complemented
2#13073481C211yesmaximal, characteristic, complemented
3#13073456C211yesmaximal, characteristic, complemented
4#13073449C211yesmaximal, characteristic, complemented
5#13073431C211yesmaximal, characteristic, complemented
6#13073424C211yesmaximal, characteristic, complemented
7#13073399C211yesmaximal, characteristic, complemented
8#13073392C211yesmaximal, characteristic, complemented
9#13073174C211yesmaximal, characteristic, complemented
10#13073117C211yesmaximal, characteristic, complemented
11#13072999C211yesmaximal, characteristic, complemented
12#13072944C211yesmaximal, characteristic, complemented
13#13072446C211yesmaximal, characteristic, complemented
14#13072173C211yesmaximal, characteristic
15#13072087C211yesmaximal, characteristic, complemented
16#13071922C211yesmaximal, characteristic, complemented
17#13071913C211yesmaximal, characteristic, complemented
18#13071913C211yesmaximal, characteristic, complemented
19#13071904C211yesmaximal, characteristic, complemented
20#13071148C211yesmaximal, characteristic, complemented
21#13071141C211yesmaximal, characteristic, complemented
22#13071141C211yesmaximal, characteristic, complemented
23#121×Dic11C211yesmaximal, characteristic
24#13071110C211yesmaximal, characteristic, complemented
25#13071089C211yesmaximal, characteristic, complemented
26#13071056C211yesmaximal, characteristic, complemented
27#13071056C211yesmaximal, characteristic, complemented
28#13071007C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×#10622261C211yesmaximal, characteristic, complemented
31C11×#2444C211yesmaximal, characteristic
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66988C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C2×#66940C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66930C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#397C2211yescharacteristic
49C11×#397C2211yescharacteristic
50C11×#394C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#381C2211yescharacteristic
59C2×C11×#95C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622834C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622824C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73C4×C22⋊Dic11C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78#10622599C2211yescharacteristic
79#10622598C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622595C2211yescharacteristic
82#10622595C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622593C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622565C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622565C2211yescharacteristic
98#10622565C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622561C2211yescharacteristic
103#10622561C2211yescharacteristic
104#10622560C2211yescharacteristic
105#10622560C2211yescharacteristic
106#10622559C2211yescharacteristic
107#10622559C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622556C2211yescharacteristic
119#10622556C2211yescharacteristic
120#10622555C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C4×C4⋊Dic11C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139C11⋊#401C2211yescharacteristic
140C11⋊#401C2211yescharacteristic
141#10622273C2211yescharacteristic
142#10622273C2211yescharacteristic
143#10622273C2211yescharacteristic
144#10622272C2211yescharacteristic
145#10622271C2211yescharacteristic
146#10622271C2211yescharacteristic
147#10622271C2211yescharacteristic
148#10622271C2211yescharacteristic
149#10622270C2211yescharacteristic
150#10622270C2211yescharacteristic
151#10622268C2211yescharacteristic
152#10622268C2211yescharacteristic
153#10622268C2211yescharacteristic
154#10622268C2211yescharacteristic
155#10622268C2211yescharacteristic
156#10622267C2211yescharacteristic
157#10622267C2211yescharacteristic
158#10622266C2211yescharacteristic
159#10622266C2211yescharacteristic
160#10622266C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622265C2211yescharacteristic
163#10622264C2211yescharacteristic
164#10622264C2211yescharacteristic
165#10622263C2211yescharacteristic
166#10622263C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622261C2211yescharacteristic
175#10622261C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622261C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×#121—24no—
203C4×D4×C11—24no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237#66988—24no—
238#66988—24no—
239D4×Dic11—24no—
240D4×Dic11—24no—
241D4×Dic11—24no—
242D4×Dic11—24no—
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×C4×Dic11—24no—
268C2×C4×Dic11—24no—
269C2×C4×Dic11—24no—
270C2×C4×Dic11—24no—
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
294#66940—24no—
295#66931—24no—
296#66930—24no—
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
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
357#34811—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C2×D4×C11—22no—
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—22no—
367C2×D4×C11—22no—
368C2×D4×C11—41no—
369C2×D4×C11#4114yes—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11#4114yes—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C2×Dic22—22no—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—41no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C42×C11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11#4114yes—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—22no—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—41no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2533—111no—
515#2532—111no—
516#2531—111no—
517#2530—111no—
518#2529—111no—
519#2528—111no—
520#2527—111no—
521#2526—111no—
522#2510—111no—
523#2505—111no—
524#2493—111no—
525#2488—111no—
526#2450—111no—
527#2444D1111yescharacteristic
528#2425—111no—
529#2419—111no—
530#2402—111no—
531#2401—111no—
532#2401—111no—
533#2398—111no—
534C4×C22⋊Q8—111no—
535C4×#123—111no—
536C4×#123—111no—
537C4×#121—111no—
538#2298—111no—
539#2295—111no—
540#2290—111no—
541#2290—111no—
542#2283—111no—
543C42×D4—111no—
544C2×#376—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11C2×#4112yes—
563C23×C11C2×#4112yes—
564C23×C11C2×#4112yes—
565C23×C11C2×#4112yes—
566C23×C11C2511yescharacteristic
567D4×C11—28no—
568D4×C11—44no—
569D4×C11—44no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—44no—
604C2×C4×C11—44no—
605C2×C4×C11—44no—
606C2×C4×C11—44no—
607C2×C4×C11C2×#4112yes—
608C2×C4×C11C2×#4112yes—
609C2×C4×C11C2×#4112yes—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—28no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—44no—
652C2×Dic11—44no—
653C2×Dic11—44no—
654C2×Dic11—44no—
655C2×Dic11—44no—
656C2×Dic11—44no—
657C2×Dic11C2×#4112yes—
658C2×Dic11C2×#4112yes—
659C2×Dic11C2×#4112yes—
660C2×Dic11C2×#4112yes—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665Dic22—44no—
666C2×#123—111no—
667C2×#123—111no—
668C2×C22⋊Q8—111no—
669C2×#121C2×D1111yescharacteristic
670C2×C4×Q8—111no—
671C2×C4×D4—111no—
672C2×C4×D4—111no—
673C2×C4×D4—111no—
674C2×C4×D4—111no—
675C2×C4×D4C2×D1111yescharacteristic
676C2×#117—111no—
677C22×C42—111no—
678C22×C42—111no—
679C22×C42—111no—
680C22×C42—111no—
681#401—111no—
682#401—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#400C2×D1111yescharacteristic
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397C2×D1111yescharacteristic
706#397C2×D1111yescharacteristic
707#396—111no—
708#396—111no—
709#394—111no—
710#394C2×D1111yescharacteristic
711#393—111no—
712#393—111no—
713#391—111no—
714#391—111no—
715#391—111no—
716#390—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—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#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387C2×D1111yescharacteristic
753#386—111no—
754#386—111no—
755#386—111no—
756#386—111no—
757#386C2×D1111yescharacteristic
758#386C2×D1111yescharacteristic
759#386C2×D1111yescharacteristic
760#386C2×D1111yescharacteristic
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385—111no—
768#385C2×D1111yescharacteristic
769#383—111no—
770#383—111no—
771#382—111no—
772#382—111no—
773#381—111no—
774#381—111no—
775#381—111no—
776#381C2×D1111yescharacteristic
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C22⋊C4—111no—
794C4×C22⋊C4—111no—
795C4×C22⋊C4—111no—
796C4×C22⋊C4—111no—
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807#376—111no—
808#376—111no—
809#376—111no—
810#376—111no—
811#376—111no—
812#376—111no—
813#376—111no—
814#376—111no—
815#376—111no—
816C2×#95—111no—
817C2×#95—111no—
818C2×#95—111no—
819C2×#95C2×D1111yescharacteristic
820C43—111no—
821C22×C11—22no—
822C22×C11—22no—
823C22×C11—22no—
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11—41no—
834C22×C11—41no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11#52914yes—
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C22×#4111yescharacteristic
846C22×C11C22×#4111yescharacteristic
847C22×C11#58511yescharacteristic
848C22×C11#58511yescharacteristic
849C4×C11—22no—
850C4×C11—22no—
851C4×C11—22no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861Dic11—22no—
862Dic11—22no—
863Dic11—22no—
864Dic11—22no—
865Dic11—22no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11#52914yes—
877C22×Q8—111no—
878C22×D4C22×D1111yescharacteristic
879C22×D4C22×D1111yescharacteristic
880C22×D4C22×D1111yescharacteristic
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4C22×D1111yescharacteristic
889C23×C4C22×D1111yescharacteristic
890C23×C4C22×D1111yescharacteristic
891C23×C4C22×D1111yescharacteristic
892#123—224no—
893#123—224no—
894C22⋊Q8—224no—
895#121—24no—
896C4×Q8—224no—
897C4×D4—24no—
898C4×D4—224no—
899C4×D4—224no—
900C4×D4—224no—
901C4×D4—224no—
902#117—224no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C22⋊C4—111no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4C22×D1111yescharacteristic
949C2×C22⋊C4C22×D1111yescharacteristic
950C2×C22⋊C4C22×D1111yescharacteristic
951C2×C22⋊C4C22×D1111yescharacteristic
952C2×C22⋊C4C22×D1111yescharacteristic
953C2×C22⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4C22×D1111yescharacteristic
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C42—111no—
960C2×C42—111no—
961C2×C42—111no—
962C2×C42—111no—
963C2×C42—111no—
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—224no—
983C2×C42—224no—
984C2×C42—224no—
985C2×C42—224no—
986C2×C42C22×D1111yescharacteristic
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047C2×C11—24no—
1048C2×C11—42no—
1049C2×C11—81no—
1050C2×C11C2×#52911yescharacteristic
1051C2×C11C2×#52911yescharacteristic
1052C2×C11#345511yescharacteristic
1053C2×C11#347511yescharacteristic
1054C2×C11#347511yescharacteristic
1055C2×C11#347511yescharacteristic
1056C2×C11#347511yescharacteristic
1057C24C23×D1111yescharacteristic
1058C24C23×D1111yescharacteristic
1059C24C23×D1111yescharacteristic
1060C2×Q8—222no—
1061C2×Q8—222no—
1062C2×Q8—441no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—41no—
1071C2×D4#434114yes—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—111no—
1085C22×C4—114no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—441no—
1119C22×C4—441no—
1120C22×C4—441no—
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—41no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—114no—
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—222no—
1183C22⋊C4—222no—
1184C22⋊C4—222no—
1185C22⋊C4—222no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C42—22no—
1190C42—114no—
1191C42—114no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—441no—
1212C42—441no—
1213C11#3481111yescharacteristic, complemented, Sylow
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#434112yes—
1232C23C2×#434112yes—
1233C23#41×D1112yes—
1234C23#41×D1112yes—
1235C23C24×D1111yescharacteristic
1236Q8—444no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—44no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—228no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—444no—
1332C2×C4C2×#434112yes—
1333C2×C4#41×D1112yes—
1334C2×C4#41×D1112yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22#1062318014yes—
1356C22C22×#434111yescharacteristic
1357C22C2×#41×D1111yescharacteristic
1358C22C2×#41×D1111yescharacteristic
1359C22C2×#41×D1111yescharacteristic
1360C22C2×#41×D1111yescharacteristic
1361C22#1062345511yescharacteristic
1362C22#1062345511yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—114no—
1376C4—222no—
1377C4—222no—
1378C4—222no—
1379C4—222no—
1380C4—222no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2D11×#52911yescharacteristic
1395C2C2×#1062318011yescharacteristic
1396C2#1308199811yescharacteristic
1397C2#1308216711yescharacteristic
1398C2#1308216711yescharacteristic
1399C2#1308217511yescharacteristic
1400C2#1308217511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2444C2
prime radicalC2×C11×#121C22
hypercenter#2444D11
hypocenterC11#34811
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #13073488C2semidirect
2. #13073481C2semidirect
3. #13073456C2semidirect
4. #13073449C2semidirect
5. #13073431C2semidirect
6. #13073424C2semidirect
7. #13073399C2semidirect
8. #13073392C2semidirect
9. #13073174C2semidirect
10. #13073117C2semidirect
11. #13072999C2semidirect
12. #13072944C2semidirect
13. #13072446C2semidirect
15. #13072087C2semidirect
16. #13071922C2semidirect
17. #13071913C2semidirect
18. #13071913C2semidirect
19. #13071904C2semidirect
20. #13071148C2semidirect
21. #13071141C2semidirect
22. #13071141C2semidirect
24. #13071110C2semidirect
25. #13071089C2semidirect
26. #13071056C2semidirect
27. #13071056C2semidirect
28. #13071007C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×#10622261C2semidirect
1213. C11#34811semidirect

Maximal subgroups

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

subgroupindex
#130734882
#130734812
#130734562
#130734492
#130734312
#130734242
#130733992
#130733922
#130731742
#130731172
#130729992
#130729442
#130724462
#130721732
#130720872
#130719222
#130719132
#130719042
#130711482
#130711412
#121×Dic112
#130711102
#130710892
#130710562
#130710072
C4×D4×Dic112
C2×#106222612
C11×#24442
#3481111