Finite Group Databasebeta

← #14920592

Subgroups — #14920592

Order 2816.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074816C211yesmaximal, characteristic, complemented
2#13074800C211yesmaximal, characteristic, complemented
3#13074774C211yesmaximal, characteristic, complemented
4#13074770C211yesmaximal, characteristic, complemented
5#13074688C211yesmaximal, characteristic, complemented
6#13074684C211yesmaximal, characteristic, complemented
7#13074671C211yesmaximal, characteristic, complemented
8#13074661C211yesmaximal, characteristic, complemented
9#13074660C211yesmaximal, characteristic, complemented
10#13074618C211yesmaximal, characteristic, complemented
11#13074617C211yesmaximal, characteristic, complemented
12#13074540C211yesmaximal, characteristic, complemented
13#13074516C211yesmaximal, characteristic
14#13074486C211yesmaximal, characteristic, complemented
15#13074465C211yesmaximal, characteristic
16#13071922C211yesmaximal, characteristic, complemented
17#13071919C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071889C211yesmaximal, characteristic, complemented
20#13071882C211yesmaximal, characteristic, complemented
21#13071882C211yesmaximal, characteristic, complemented
22#13071880C211yesmaximal, characteristic, complemented
23#13071857C211yesmaximal, characteristic
24#13071173C211yesmaximal, characteristic, complemented
25#13071166C211yesmaximal, characteristic, complemented
26#13071150C211yesmaximal, characteristic, complemented
27#13071137C211yesmaximal, characteristic, complemented
28#13071097C211yesmaximal, characteristic, complemented
29#13071054C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2655C211yesmaximal, characteristic, complemented
32C2×#66951C2211yescharacteristic
33C2×#66949C2211yescharacteristic
34C2×#66947C2211yescharacteristic
35C2×#66946C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66946C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66945C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66942C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×C4×D44C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#401C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#398C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622606C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622605C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622605C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622604C2211yescharacteristic
74#10622604C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622599C2211yescharacteristic
81#10622598C2211yescharacteristic
82#10622597C2211yescharacteristic
83#10622597C2211yescharacteristic
84#10622596C2211yescharacteristic
85#10622596C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622593C2211yescharacteristic
88#10622592C2211yescharacteristic
89#10622591C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96#10622586C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622553C2211yescharacteristic
99#10622553C2211yescharacteristic
100#10622553C2211yescharacteristic
101C4×(C2×D11)⋊C4C2211yescharacteristic
102C4×(C2×D11)⋊C4C2211yescharacteristic
103#10622546C2211yescharacteristic
104#10622546C2211yescharacteristic
105C42×Dic11C2211yescharacteristic
106#10622541C2211yescharacteristic
107#10622290C2211yescharacteristic
108#10622289C2211yescharacteristic
109#10622289C2211yescharacteristic
110#10622289C2211yescharacteristic
111#10622288C2211yescharacteristic
112#10622288C2211yescharacteristic
113#10622288C2211yescharacteristic
114#10622288C2211yescharacteristic
115#10622288C2211yescharacteristic
116#10622288C2211yescharacteristic
117#10622288C2211yescharacteristic
118#10622287C2211yescharacteristic
119#10622287C2211yescharacteristic
120#10622287C2211yescharacteristic
121#10622287C2211yescharacteristic
122#10622286C2211yescharacteristic
123#10622286C2211yescharacteristic
124#10622285C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622285C2211yescharacteristic
127#10622285C2211yescharacteristic
128#10622285C2211yescharacteristic
129#10622285C2211yescharacteristic
130#10622284C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622282C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622280C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622277C2211yescharacteristic
156#10622273C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622271C2211yescharacteristic
159#10622271C2211yescharacteristic
160#10622271C2211yescharacteristic
161#10622271C2211yescharacteristic
162#10622271C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622270C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622270C2211yescharacteristic
167#10622269C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D44C2311yescharacteristic
188C22×D44C2311yescharacteristic
189C22×D44C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
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
290#66951—24no—
291#66949—24no—
292#66947—24no—
293#66946—24no—
294#66946—24no—
295#66946—24no—
296#66946—42no—
297#66945—24no—
298#66945—42no—
299#66945—42no—
300#66942—24no—
301#66940—42no—
302C4×D44—24no—
303C42×D11—42no—
304C42×D11—42no—
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#34592—111nomaximal, Sylow
358C23×D11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C2×D44—22no—
390C2×D44—22no—
391C2×D44—22no—
392C2×D44—22no—
393C2×D44—22no—
394C2×D44—41no—
395C2×D44—41no—
396C2×D44—41no—
397C2×D44—41no—
398C2×C4×D11—22no—
399C2×C4×D11—22no—
400C2×C4×D11—22no—
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—41no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11—41no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11#4114yes—
418C2×C4×D11#4114yes—
419C2×Dic22—22no—
420C2×Dic22—41no—
421C2×Dic22—41no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C42×C11—22no—
435C42×C11—41no—
436C42×C11—41no—
437(C2×D11)⋊C4—22no—
438(C2×D11)⋊C4—22no—
439(C2×D11)⋊C4—22no—
440(C2×D11)⋊C4—22no—
441(C2×D11)⋊C4—22no—
442(C2×D11)⋊C4—22no—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—22no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—41no—
456(C2×D11)⋊C4—41no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469C4⋊Dic11—22no—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—22no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475C4⋊Dic11—41no—
476C4⋊Dic11—41no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
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—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11#4114yes—
514#2667—111no—
515#2666—111no—
516#2664—111no—
517#2663—111no—
518#2655D1111yescharacteristic, complemented
519#2654—111no—
520#2653—111no—
521#2652—111no—
522#2652—111no—
523#2652—111no—
524#2649—111no—
525#2649—111no—
526#2638—111no—
527#2636—111no—
528#2633—111no—
529#2630—111no—
530#2402—111no—
531#2401—111no—
532#2396—111no—
533#2396—111no—
534#2395—111no—
535#2395—111no—
536#2395—111no—
537#2392—111no—
538C4×#125—111no—
539C4×#126—111no—
540C4×C22⋊Q8—111no—
541C4×#123—111no—
542#2296—111no—
543#2290—111no—
544C42×D4—111no—
545C23×C11C2511yescharacteristic
546C22×D11—21no—
547C22×D11—21no—
548C22×D11—21no—
549C22×D11—21no—
550C22×D11—21no—
551C22×D11—21no—
552C22×D11—21no—
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11C2×#4112yes—
566C22×D11C2×#4112yes—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
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—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11C2×#4112yes—
610C2×C4×C11C2×#4112yes—
611C2×C4×C11C2×#4112yes—
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—21no—
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×Dic11C2×#4112yes—
646C2×Dic11C2×#4112yes—
647C2×Dic11C2×#4112yes—
648C2×Dic11C2×#4112yes—
649C2×Dic11H(5,𝔽2)12yes—
650C2×Dic112−1+412yes—
651D44—28no—
652D44—44no—
653D44—44no—
654C4×D11—28no—
655C4×D11—44no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661Dic22—44no—
662C2×#126—111no—
663C2×#125—111no—
664C2×#123—111no—
665C2×C22⋊Q8—111no—
666C2×C4×Q8—111no—
667C2×C4×D4—111no—
668C2×C4×D4—111no—
669C2×C4×D4—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C2×#117—111no—
674C2×#117—111no—
675C22×C42—111no—
676C22×C42—111no—
677#401C2×D1111yescharacteristic
678#400—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400C2×D1111yescharacteristic
687#400C2×D1111yescharacteristic
688#400C2×D1111yescharacteristic
689#400C2×D1111yescharacteristic
690#399—111no—
691#399—111no—
692#399—111no—
693#399—111no—
694#399—111no—
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#398—111no—
700#398—111no—
701#398—111no—
702#398—111no—
703#398—111no—
704#398C2×D1111yescharacteristic
705#398C2×D1111yescharacteristic
706#398C2×D1111yescharacteristic
707#397—111no—
708#397—111no—
709#397—111no—
710#397—111no—
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#396—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#396—111no—
725#396—111no—
726#396—111no—
727#395—111no—
728#395—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#394—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#393—111no—
739#393—111no—
740#392—111no—
741#391—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389C2×D1111yescharacteristic
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387C2×D1111yescharacteristic
765#387C2×D1111yescharacteristic
766#387C2×D1111yescharacteristic
767#387C2×D1111yescharacteristic
768#387C2×D1111yescharacteristic
769#386—111no—
770#386—111no—
771#386—111no—
772#385—111no—
773#385—111no—
774#385—111no—
775#385—111no—
776#385—111no—
777#385—111no—
778#385—111no—
779#385—111no—
780#385—111no—
781#383—111no—
782#382—111no—
783#381—111no—
784#380—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⋊C4C2×D1111yescharacteristic
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815#376—111no—
816C43—111no—
817C22×C11C22×#4111yescharacteristic
818C22×C11C22×#4111yescharacteristic
819C22×C11C22×#4111yescharacteristic
820C22×C11C2×H(5,𝔽2)11yescharacteristic
821C22×C11C2×2−1+411yescharacteristic
822C22×C11#58511yescharacteristic
823C22×C11#58511yescharacteristic
824C2×D11—22no—
825C2×D11—22no—
826C2×D11—22no—
827C2×D11—22no—
828C2×D11—22no—
829C2×D11—22no—
830C2×D11—41no—
831C2×D11—41no—
832C2×D11—41no—
833C2×D11—41no—
834C2×D11—41no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C2×D11—41no—
844C2×D11—41no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860Dic11—22no—
861Dic11—22no—
862Dic11—22no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11#53914yes—
873C22×Q8—111no—
874C22×D4—111no—
875C22×D4—111no—
876C22×D4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884#126—224no—
885#125—224no—
886#123—224no—
887C22⋊Q8—224no—
888C4×Q8—442no—
889C4×D4—224no—
890C4×D4—224no—
891C4×D4—224no—
892C4×D4—224no—
893C4×D4—442no—
894#117—224no—
895#117—442no—
896#117—442no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
926C2×C4⋊C4C22×D1111yescharacteristic
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
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—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—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—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—442no—
987C2×C42—442no—
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1024#95C22×D1111yescharacteristic
1025#95C22×D1111yescharacteristic
1026#95C22×D1111yescharacteristic
1027#95C22×D1111yescharacteristic
1028#95C22×D1111yescharacteristic
1029#95C22×D1111yescharacteristic
1030#95C22×D1111yescharacteristic
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043C2×C11#344411yescharacteristic
1044C2×C11C2×#53911yescharacteristic
1045C2×C11#345511yescharacteristic
1046C2×C11#345911yescharacteristic
1047C2×C11#346011yescharacteristic
1048C2×C11#346111yescharacteristic
1049C2×C11#346111yescharacteristic
1050D11—42no—
1051D11—42no—
1052D11—81no—
1053C24—111no—
1054C24—111no—
1055C24—111no—
1056C2×Q8—222no—
1057C2×Q8—441no—
1058C2×Q8—441no—
1059C2×D4—222no—
1060C2×D4—222no—
1061C2×D4—222no—
1062C2×D4—222no—
1063C2×D4—222no—
1064C2×D4—441no—
1065C2×D4—441no—
1066C2×D4—441no—
1067C2×D4—441no—
1068C22×C4—111no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—114no—
1073C22×C4—114no—
1074C22×C4—111no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—222no—
1084C22×C4—222no—
1085C22×C4—222no—
1086C22×C4—222no—
1087C22×C4—222no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—441no—
1095C22×C4—441no—
1096C22×C4—441no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4—441no—
1100C22×C4—441no—
1101C22×C4—441no—
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—222no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C22⋊C4—222no—
1158C22⋊C4—222no—
1159C22⋊C4—222no—
1160C22⋊C4—222no—
1161C22⋊C4—222no—
1162C22⋊C4—222no—
1163C22⋊C4—222no—
1164C22⋊C4—222no—
1165C22⋊C4—222no—
1166C22⋊C4—222no—
1167C22⋊C4—222no—
1168C22⋊C4—222no—
1169C22⋊C4—222no—
1170C22⋊C4—222no—
1171C22⋊C4—222no—
1172C22⋊C4—222no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—441no—
1176C22⋊C4—441no—
1177C22⋊C4—441no—
1178C22⋊C4—441no—
1179C22⋊C4—441no—
1180C22⋊C4—441no—
1181C22⋊C4—441no—
1182C22⋊C4—441no—
1183C22⋊C4—441no—
1184C22⋊C4—441no—
1185C22⋊C4—441no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C42—22no—
1190C42—41no—
1191C42—41no—
1192C42—114no—
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—441no—
1206C42—441no—
1207C42—441no—
1208C42—441no—
1209C11#3459211yescharacteristic, complemented, Sylow
1210C23—112no—
1211C23—112no—
1212C23—221no—
1213C23—221no—
1214C23—221no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23—221no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23C24×D1111yescharacteristic
1232Q8—444no—
1233D4—228no—
1234D4—444no—
1235D4—444no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
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—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—228no—
1285C2×C4—221no—
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—444no—
1319C2×C4—444no—
1320C2×C4—444no—
1321C2×C4—444no—
1322C2×C4—444no—
1323C2×C4—444no—
1324C2×C4#41×D1112yes—
1325C2×C4#41×D1112yes—
1326C2×C4#41×D1112yes—
1327C22—222no—
1328C22—222no—
1329C22—222no—
1330C22—222no—
1331C22—222no—
1332C22—222no—
1333C22—441no—
1334C22—441no—
1335C22—441no—
1336C22—441no—
1337C22—441no—
1338C22—441no—
1339C22—441no—
1340C22—441no—
1341C22—441no—
1342C22—441no—
1343C22—441no—
1344C22—441no—
1345C22—441no—
1346C22—441no—
1347C22—441no—
1348C22C2×#41×D1111yescharacteristic
1349C22C2×#41×D1111yescharacteristic
1350C22C2×#41×D1111yescharacteristic
1351C22D11×H(5,𝔽2)11yescharacteristic
1352C22D11×2−1+411yescharacteristic
1353C22#1062345711yescharacteristic
1354C22#1062345711yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—114no—
1371C4—222no—
1372C4—222no—
1373C4—222no—
1374C4—441no—
1375C4—441no—
1376C4—441no—
1377C4—441no—
1378C4—441no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C2—442no—
1384C2—442no—
1385C2—881no—
1386C2#1308191011yescharacteristic
1387C2D11×#53911yescharacteristic
1388C2#1308200711yescharacteristic
1389C2#1308202411yescharacteristic
1390C2#1308203611yescharacteristic
1391C2#1308204811yescharacteristic
1392C2#1308204811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2655C2
prime radical#10622284C22
hypercenter#2655D11
hypocenterC11#34592
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2655

Complements

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

NH ≅ G/Ntype
1. #13074816C2semidirect
2. #13074800C2semidirect
3. #13074774C2semidirect
4. #13074770C2semidirect
5. #13074688C2semidirect
6. #13074684C2semidirect
7. #13074671C2semidirect
8. #13074661C2semidirect
9. #13074660C2semidirect
10. #13074618C2semidirect
11. #13074617C2semidirect
12. #13074540C2semidirect
14. #13074486C2semidirect
16. #13071922C2semidirect
17. #13071919C2semidirect
18. #13071893C2semidirect
19. #13071889C2semidirect
20. #13071882C2semidirect
21. #13071882C2semidirect
22. #13071880C2semidirect
24. #13071173C2semidirect
25. #13071166C2semidirect
26. #13071150C2semidirect
27. #13071137C2semidirect
28. #13071097C2semidirect
29. #13071054C2semidirect
30. C4×#66946C2semidirect
31. C11×#2655C2semidirect
518. #2655D11semidirect
1209. C11#34592semidirect

Maximal subgroups

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

subgroupindex
#130748162
#130748002
#130747742
#130747702
#130746882
#130746842
#130746712
#130746612
#130746602
#130746182
#130746172
#130745402
#130745162
#130744862
#130744652
#130719222
#130719192
#130718932
#130718892
#130718822
#130718802
#130718572
#130711732
#130711662
#130711502
#130711372
#130710972
#130710542
C4×#669462
C11×#26552
#3459211