Finite Group Databasebeta

← #14926898

Subgroups — #14926898

Order 2816.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076997C211yesmaximal, characteristic, complemented
2#13076975C211yesmaximal, characteristic, complemented
3#13076964C211yesmaximal, characteristic, complemented
4#13076952C211yesmaximal, characteristic, complemented
5#13074811C211yesmaximal, characteristic, complemented
6#13074809C211yesmaximal, characteristic, complemented
7#13074796C211yesmaximal, characteristic, complemented
8#13074794C211yesmaximal, characteristic, complemented
9#13074012C211yesmaximal, characteristic, complemented
10#13074010C211yesmaximal, characteristic, complemented
11#13073706C211yesmaximal, characteristic, complemented
12#13073698C211yesmaximal, characteristic, complemented
13#13073136C211yesmaximal, characteristic, complemented
14#13073092C211yesmaximal, characteristic, complemented
15#13073042C211yesmaximal, characteristic, complemented
16#13072930C211yesmaximal, characteristic
17#13072759C211yesmaximal, characteristic, complemented
18#13072751C211yesmaximal, characteristic, complemented
19#13072448C211yesmaximal, characteristic, complemented
20#13072419C211yesmaximal, characteristic
21#13072315C211yesmaximal, characteristic, complemented
22#13072134C211yesmaximal, characteristic, complemented
23#13072064C211yesmaximal, characteristic
24#13071351C211yesmaximal, characteristic, complemented
25#13071347C211yesmaximal, characteristic, complemented
26#13071242C211yesmaximal, characteristic
27#13071242C211yesmaximal, characteristic
28#13071148C211yesmaximal, characteristic, complemented
29C2×#10622585C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic
31C11×#2449C211yesmaximal, characteristic
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic
36C2×#66997C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66942C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#396C2211yescharacteristic
54C11×#395C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic
62#10622843C2211yescharacteristic
63#10622843C2211yescharacteristic
64#10622842C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622825C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73C4×C22⋊Dic11C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77#10622598C2211yescharacteristic
78#10622598C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622597C2211yescharacteristic
82#10622597C2211yescharacteristic
83#10622597C2211yescharacteristic
84#10622596C2211yescharacteristic
85#10622596C2211yescharacteristic
86#10622595C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622593C2211yescharacteristic
93#10622593C2211yescharacteristic
94#10622593C2211yescharacteristic
95#10622592C2211yescharacteristic
96#10622592C2211yescharacteristic
97#10622591C2211yescharacteristic
98#10622591C2211yescharacteristic
99#10622591C2211yescharacteristic
100#10622589C2211yescharacteristic
101#10622589C2211yescharacteristic
102#10622589C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104C4⋊C4×Dic11C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106#10622587C2211yescharacteristic
107#10622586C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622585C2211yescharacteristic
120#10622585C2211yescharacteristic
121#10622585C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622562C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622562C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622558C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622557C2211yescharacteristic
136#10622556C2211yescharacteristic
137#10622556C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C4×C4⋊Dic11C2211yescharacteristic
152#10622546C2211yescharacteristic
153C42×Dic11C2211yescharacteristic
154#10622541C2211yescharacteristic
155#10622274C2211yescharacteristic
156#10622273C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622271C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622270C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×C22⋊Q8—24no—
202C11×C22⋊Q8—42no—
203C4×D4×C11—24no—
204C2×C11×C4⋊C4—42no—
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
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
236#66997—42no—
237D4×Dic11—24no—
238D4×Dic11Q818yescomplemented
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249#66977—42no—
250C2×Dic11⋊C4—24no—
251C2×Dic11⋊C4—42no—
252C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×C4×Dic11—42no—
286C2×C4×Dic11—42no—
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66942—42no—
304#66942—42no—
305#66940—42no—
306#66931—24no—
307#66931—24no—
308#66931—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361#35017—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C24×C11C2411yescharacteristic
364C2×Q8×C11—22no—
365C2×Q8×C11—41no—
366C2×Q8×C11—41no—
367C2×D4×C11—22no—
368C2×D4×C11—22no—
369C2×D4×C11C2×Q814yes—
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—41no—
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×C4×C11C2411yescharacteristic
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11C2×Q814yes—
411C22×Dic11C2×Q814yes—
412C22×Dic11#4114yes—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
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
429C2×Dic22—22no—
430C2×Dic22—22no—
431C2×Dic22—22no—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C11×C22⋊C4#4114yes—
455C42×C11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11C2×Q814yes—
465C22⋊Dic11C2×Q814yes—
466C4⋊Dic11—22no—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—41no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475C4⋊Dic11C2×Q814yes—
476Dic11⋊C4—22no—
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—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
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⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
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×Dic11C2×Q814yes—
524#2863—111no—
525#2859—111no—
526#2857—111no—
527#2855—111no—
528#2667—111no—
529#2667—111no—
530#2666—111no—
531#2666—111no—
532#2585—111no—
533#2585—111no—
534#2556—111no—
535#2556—111no—
536#2507—111no—
537#2502—111no—
538#2497—111no—
539#2487—111no—
540#2473—111no—
541#2473—111no—
542#2451—111no—
543#2449—111no—
544#2449D1111yescharacteristic
545#2440—111no—
546#2423—111no—
547#2417—111no—
548#2329—111no—
549#2329—111no—
550#2318—111no—
551#2318—111no—
552C4×C22⋊Q8—111no—
553C2×#389—111no—
554C42×D4—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11C22×Q812yes—
566C23×C11C22×Q812yes—
567C23×C11C2×#4112yes—
568C23×C11C2×#4112yes—
569C23×C11C2511yescharacteristic
570Q8×C11—82no—
571D4×C11—28no—
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—44no—
608C2×C4×C11—44no—
609C2×C4×C11—44no—
610C2×C4×C11—82no—
611C2×C4×C11C22×Q812yes—
612C2×C4×C11C2×#4112yes—
613C2×C4×C11C2×#4112yes—
614C2×C4×C11H(5,𝔽2)12yes—
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—28no—
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—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—44no—
657C2×Dic11—44no—
658C2×Dic11—44no—
659C2×Dic11—44no—
660C2×Dic11—82no—
661C2×Dic11C22×Q812yes—
662C2×Dic11C22×Q812yes—
663C2×Dic11C22×Q812yes—
664C2×Dic11C22×Q812yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11H(5,𝔽2)12yes—
668C2×Dic112−1+412yes—
669Dic22—44no—
670Dic22—82no—
671C2×C4⋊Q8—111no—
672C2×#125—111no—
673C2×#125—111no—
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8—111no—
678C2×C22⋊Q8C2×D1111yescharacteristic
679C2×C22⋊Q8C2×D1111yescharacteristic
680C2×C4×Q8—111no—
681C2×C4×D4—111no—
682C2×C4×D4—111no—
683C2×C4×D4C2×D1111yescharacteristic
684C22×C4⋊C4—111no—
685C22×C4⋊C4—111no—
686C22×C4⋊C4—111no—
687C22×C4⋊C4C2×D1111yescharacteristic
688C22×C42—111no—
689C22×C42—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#399—111no—
695#399—111no—
696#399—111no—
697#399C2×D1111yescharacteristic
698#398—111no—
699#398—111no—
700#398—111no—
701#398—111no—
702#398—111no—
703#398—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#398C2×D1111yescharacteristic
714#396—111no—
715#396—111no—
716#396—111no—
717#396C2×D1111yescharacteristic
718#395—111no—
719#395—111no—
720#395—111no—
721#395C2×D1111yescharacteristic
722#391—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389C2×D1111yescharacteristic
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#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387C2×D1111yescharacteristic
776#386—111no—
777#386—111no—
778#386C2×D1111yescharacteristic
779#386C2×D1111yescharacteristic
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385C2×D1111yescharacteristic
790#385C2×D1111yescharacteristic
791#385C2×D1111yescharacteristic
792#384—111no—
793#384—111no—
794#384—111no—
795#383—111no—
796#383—111no—
797#382—111no—
798#382—111no—
799#381—111no—
800#381—111no—
801#380—111no—
802#380—111no—
803#380—111no—
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×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—
823C2×#95—111no—
824C2×#95—111no—
825C43—111no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11—22no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11#53314yes—
840C22×C11C23×Q811yescharacteristic
841C22×C11C22×#4111yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C2×H(5,𝔽2)11yescharacteristic
844C22×C11C2×H(5,𝔽2)11yescharacteristic
845C22×C11C2×2−1+411yescharacteristic
846C22×C11#58511yescharacteristic
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—22no—
850C4×C11—22no—
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—22no—
864Dic11—22no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11#53914yes—
876C22×Q8—111no—
877C22×Q8—111no—
878C22×Q8C22×D1111yescharacteristic
879C22×D4C22×D1111yescharacteristic
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4C22×D1111yescharacteristic
887C23×C4C22×D1111yescharacteristic
888C23×C4C22×D1111yescharacteristic
889C23×C4C22×D1111yescharacteristic
890C4⋊Q8—442no—
891#125—442no—
892#125—442no—
893C22⋊Q8—24no—
894C22⋊Q8—42no—
895C22⋊Q8—224no—
896C22⋊Q8—224no—
897C22⋊Q8—442no—
898C22⋊Q8—442no—
899C4×Q8—442no—
900C4×D4—24no—
901C4×D4—118no—
902C4×D4—224no—
903C2×C4⋊C4—42no—
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⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
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—224no—
947C2×C4⋊C4—442no—
948C2×C4⋊C4—442no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C22⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—442no—
996C2×C42—442no—
997C2×C42C22×D1111yescharacteristic
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#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050C2×C11—24no—
1051C2×C11—42no—
1052C2×C11C2×#53311yescharacteristic
1053C2×C11C2×#53911yescharacteristic
1054C2×C11#346011yescharacteristic
1055C2×C11#350111yescharacteristic
1056C2×C11#350311yescharacteristic
1057C2×C11#351511yescharacteristic
1058C2×C11#351911yescharacteristic
1059C24C23×D1111yescharacteristic
1060C24C23×D1111yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8—222no—
1065C2×Q8—222no—
1066C2×Q8—222no—
1067C2×Q8—222no—
1068C2×Q8—441no—
1069C2×Q8—441no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4Q8×D1114yes—
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—41no—
1085C22×C4—111no—
1086C22×C4—114no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—114no—
1093C22×C4—114no—
1094C22×C4—111no—
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—111no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—441no—
1112C22×C4—441no—
1113C22×C4—441no—
1114C22×C4—441no—
1115C22×C4—441no—
1116C22×C4—441no—
1117C22×C4—441no—
1118C22×C4—441no—
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
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
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—114no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
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⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—114no—
1194C22⋊C4—114no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4#434114yes—
1204C42—22no—
1205C42—114no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—441no—
1213C42—441no—
1214C42—441no—
1215C42—441no—
1216C42—441no—
1217C42—441no—
1218C42—441no—
1219C42—441no—
1220C42—441no—
1221C11#3501711yescharacteristic, complemented, Sylow
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23C2×#434112yes—
1233C23C2×Q8×D1112yes—
1234C23C2×Q8×D1112yes—
1235C23#41×D1112yes—
1236C23C24×D1111yescharacteristic
1237Q8—82no—
1238Q8—444no—
1239Q8—882no—
1240D4—28no—
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—44no—
1277C2×C4—44no—
1278C2×C4—44no—
1279C2×C4—82no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—112no—
1286C2×C4—112no—
1287C2×C4—112no—
1288C2×C4—228no—
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—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—444no—
1332C2×C4—444no—
1333C2×C4—882no—
1334C2×C4C2×#434112yes—
1335C2×C4C2×#434112yes—
1336C2×C4#6703712yes—
1337C2×C4C2×Q8×D1112yes—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22#1062315314yes—
1352C22C22×#434111yescharacteristic
1353C22C2×#6703711yescharacteristic
1354C22C22×Q8×D1111yescharacteristic
1355C22C2×#41×D1111yescharacteristic
1356C22#1062345311yescharacteristic
1357C22D11×H(5,𝔽2)11yescharacteristic
1358C22D11×2−1+411yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—114no—
1373C4—222no—
1374C4—222no—
1375C4—222no—
1376C4—222no—
1377C4—222no—
1378C4—441no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C4—441no—
1388C2—24no—
1389C2—42no—
1390C2C2×#1062315311yescharacteristic
1391C2D11×#53911yescharacteristic
1392C2#1308203411yescharacteristic
1393C2#1308241511yescharacteristic
1394C2#1308242711yescharacteristic
1395C2#1308258111yescharacteristic
1396C2#1308263511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2449C2
prime radicalC22×D4×C11C23
hypercenter#2449D11
hypocenterC11#35017
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. #13076997C2semidirect
2. #13076975C2semidirect
3. #13076964C2semidirect
4. #13076952C2semidirect
5. #13074811C2semidirect
6. #13074809C2semidirect
7. #13074796C2semidirect
8. #13074794C2semidirect
9. #13074012C2semidirect
10. #13074010C2semidirect
11. #13073706C2semidirect
12. #13073698C2semidirect
13. #13073136C2semidirect
14. #13073092C2semidirect
15. #13073042C2semidirect
17. #13072759C2semidirect
18. #13072751C2semidirect
19. #13072448C2semidirect
21. #13072315C2semidirect
22. #13072134C2semidirect
24. #13071351C2semidirect
25. #13071347C2semidirect
28. #13071148C2semidirect
29. C2×#10622585C2semidirect
238. D4×Dic11Q8semidirect
1221. C11#35017semidirect

Maximal subgroups

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

subgroupindex
#130769972
#130769752
#130769642
#130769522
#130748112
#130748092
#130747962
#130747942
#130740122
#130740102
#130737062
#130736982
#130731362
#130730922
#130730422
#130729302
#130727592
#130727512
#130724482
#130724192
#130723152
#130721342
#130720642
#130713512
#130713472
#130712422
#130711482
C2×#106225852
C4×D4×Dic112
C11×#24492
#3501711