Finite Group Databasebeta

← #14925484

Subgroups — #14925484

Order 2816.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074086C211yesmaximal, characteristic
2#13074078C211yesmaximal, characteristic
3#13074056C211yesmaximal, characteristic
4#13074048C211yesmaximal, characteristic
5#13073998C211yesmaximal, characteristic
6#13073977C211yesmaximal, characteristic
7#13073802C211yesmaximal, characteristic
8#13073632C211yesmaximal, characteristic
9#13073306C211yesmaximal, characteristic
10#13073304C211yesmaximal, characteristic
11#13073151C211yesmaximal, characteristic
12#13073131C211yesmaximal, characteristic
13#13072592C211yesmaximal, characteristic
14#13072474C211yesmaximal, characteristic
15#13072454C211yesmaximal, characteristic
16#13071920C211yesmaximal, characteristic
17#13071920C211yesmaximal, characteristic
18#13071906C211yesmaximal, characteristic
19#13071906C211yesmaximal, characteristic
20#13071187C211yesmaximal, characteristic
21#125×Dic11C211yesmaximal, characteristic
22#13071173C211yesmaximal, characteristic
23#13071173C211yesmaximal, characteristic
24#13071173C211yesmaximal, characteristic
25#13071089C211yesmaximal, characteristic
26#13071089C211yesmaximal, characteristic
27#13071089C211yesmaximal, characteristic
28#13071087C211yesmaximal, characteristic
29C4×Q8×Dic11C211yesmaximal, characteristic
30C4×#66940C211yesmaximal, characteristic
31C11×#2462C211yesmaximal, characteristic
32C2×C11×#125C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×#66942C2211yescharacteristic
37C2×#66942C2211yescharacteristic
38C2×#66942C2211yescharacteristic
39C2×#66941C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66940C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#395C2211yescharacteristic
48C11×#395C2211yescharacteristic
49C11×#389C2211yescharacteristic
50C11×#389C2211yescharacteristic
51C11×#387C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C4×C11×C4⋊C4C2211yescharacteristic
58#10622842C2211yescharacteristic
59#10622842C2211yescharacteristic
60#10622599C2211yescharacteristic
61#10622599C2211yescharacteristic
62#10622598C2211yescharacteristic
63#10622598C2211yescharacteristic
64#10622598C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622597C2211yescharacteristic
68#10622597C2211yescharacteristic
69#10622597C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622596C2211yescharacteristic
72#10622596C2211yescharacteristic
73#10622596C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622595C2211yescharacteristic
76#10622595C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622589C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103#10622587C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622549C2211yescharacteristic
113C4×C4⋊Dic11C2211yescharacteristic
114C4×C4⋊Dic11C2211yescharacteristic
115C4×C4⋊Dic11C2211yescharacteristic
116#10622546C2211yescharacteristic
117#10622546C2211yescharacteristic
118#10622546C2211yescharacteristic
119#10622546C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122C4×Dic11⋊C4C2211yescharacteristic
123C4×Dic11⋊C4C2211yescharacteristic
124C42×Dic11C2211yescharacteristic
125C42×Dic11C2211yescharacteristic
126C42×Dic11C2211yescharacteristic
127C42×Dic11C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129#10622542C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622274C2211yescharacteristic
132#10622274C2211yescharacteristic
133#10622274C2211yescharacteristic
134#10622274C2211yescharacteristic
135#10622273C2211yescharacteristic
136#10622273C2211yescharacteristic
137#10622272C2211yescharacteristic
138#10622272C2211yescharacteristic
139#10622269C2211yescharacteristic
140#10622269C2211yescharacteristic
141#10622269C2211yescharacteristic
142#10622269C2211yescharacteristic
143#10622268C2211yescharacteristic
144#10622268C2211yescharacteristic
145#10622268C2211yescharacteristic
146#10622268C2211yescharacteristic
147#10622268C2211yescharacteristic
148#10622267C2211yescharacteristic
149#10622267C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622265C2211yescharacteristic
152#10622265C2211yescharacteristic
153#10622265C2211yescharacteristic
154#10622263C2211yescharacteristic
155#10622263C2211yescharacteristic
156#10622263C2211yescharacteristic
157#10622262C2211yescharacteristic
158#10622262C2211yescharacteristic
159#10622262C2211yescharacteristic
160#10622262C2211yescharacteristic
161#10622262C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622261C2211yescharacteristic
170#10622261C2211yescharacteristic
171#10622261C2211yescharacteristic
172#10622261C2211yescharacteristic
173#10622260C2211yescharacteristic
174#10622260C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×Dic22C2311yescharacteristic
189C22×Dic22C2311yescharacteristic
190C22×Dic22C2311yescharacteristic
191C11×#125—24no—
192C4×Q8×C11—24no—
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213Q8×Dic11—24no—
214Q8×Dic11—24no—
215C2×C4⋊Dic11C2311yescharacteristic
216C2×C4⋊Dic11C2311yescharacteristic
217C2×C4⋊Dic11C2311yescharacteristic
218C2×C4⋊Dic11C2311yescharacteristic
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×Dic11⋊C4C2311yescharacteristic
231C2×Dic11⋊C4C2311yescharacteristic
232C2×Dic11⋊C4C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
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
286#66942—24no—
287#66942—24no—
288#66942—24no—
289#66941—24no—
290#66940—24no—
291#66940—24no—
292#66940—24no—
293#66940Q818yescomplemented
294C4×Dic22—24no—
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
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
355#34920—111nomaximal, Sylow
356C2×Q8×C11—22no—
357C2×Q8×C11—22no—
358C2×Q8×C11—22no—
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
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×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
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
389C22×Dic11C2411yescharacteristic
390C2×Dic22—22no—
391C2×Dic22—22no—
392C2×Dic22—22no—
393C2×Dic22—22no—
394C2×Dic22—22no—
395C2×Dic22—22no—
396C2×Dic22—41no—
397C2×Dic22—41no—
398C2×Dic22C2×Q814yes—
399C11×C4⋊C4—22no—
400C11×C4⋊C4—22no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4—22no—
405C11×C4⋊C4—22no—
406C11×C4⋊C4—22no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—22no—
409C11×C4⋊C4—22no—
410C11×C4⋊C4—22no—
411C11×C4⋊C4—22no—
412C11×C4⋊C4C2×Q814yes—
413C11×C4⋊C4#4114yes—
414C42×C11—22no—
415C42×C11—22no—
416C42×C11—22no—
417C42×C11—22no—
418C42×C11—22no—
419C4⋊Dic11—22no—
420C4⋊Dic11—22no—
421C4⋊Dic11—22no—
422C4⋊Dic11—22no—
423C4⋊Dic11—22no—
424C4⋊Dic11—22no—
425C4⋊Dic11—22no—
426C4⋊Dic11—22no—
427C4⋊Dic11—22no—
428C4⋊Dic11—22no—
429C4⋊Dic11—22no—
430C4⋊Dic11—41no—
431C4⋊Dic11—41no—
432C4⋊Dic11—41no—
433C4⋊Dic11—41no—
434Dic11⋊C4—22no—
435Dic11⋊C4—22no—
436Dic11⋊C4—22no—
437Dic11⋊C4—22no—
438Dic11⋊C4—22no—
439Dic11⋊C4—22no—
440Dic11⋊C4—22no—
441Dic11⋊C4—22no—
442Dic11⋊C4—22no—
443Dic11⋊C4—22no—
444Dic11⋊C4—22no—
445Dic11⋊C4—22no—
446Dic11⋊C4—22no—
447Dic11⋊C4—22no—
448Dic11⋊C4—22no—
449Dic11⋊C4—22no—
450Dic11⋊C4—22no—
451Dic11⋊C4—22no—
452Dic11⋊C4—22no—
453Dic11⋊C4—41no—
454Dic11⋊C4—41no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457Dic11⋊C4C2×Q814yes—
458Dic11⋊C4C2×Q814yes—
459Dic11⋊C4#4114yes—
460C4×Dic11—22no—
461C4×Dic11—22no—
462C4×Dic11—22no—
463C4×Dic11—22no—
464C4×Dic11—22no—
465C4×Dic11—22no—
466C4×Dic11—22no—
467C4×Dic11—22no—
468C4×Dic11—22no—
469C4×Dic11—22no—
470C4×Dic11—22no—
471C4×Dic11—22no—
472C4×Dic11—22no—
473C4×Dic11—22no—
474C4×Dic11—22no—
475C4×Dic11—22no—
476C4×Dic11—22no—
477C4×Dic11—22no—
478C4×Dic11—22no—
479C4×Dic11—22no—
480C4×Dic11—41no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11C2×Q814yes—
486C4×Dic11C2×Q814yes—
487C4×Dic11C2×Q814yes—
488C4×Dic11#4114yes—
489C4×Dic11#4114yes—
490#2590—111no—
491#2590—111no—
492#2588—111no—
493#2588—111no—
494#2584—111no—
495#2581—111no—
496#2565—111no—
497#2550—111no—
498#2520—111no—
499#2520—111no—
500#2508—111no—
501#2506—111no—
502#2462—111no—
503#2462D1111yescharacteristic
504#2453—111no—
505#2451—111no—
506#2402—111no—
507#2402—111no—
508#2399—111no—
509#2399—111no—
510C4×C4⋊Q8—111no—
511C4×#125—111no—
512C4×#125—111no—
513C4×#125—111no—
514C4×#125—111no—
515#2295—111no—
516#2295—111no—
517#2295—111no—
518#2295—111no—
519C42×Q8—111no—
520C42×Q8—111no—
521C23×C11C2511yescharacteristic
522Q8×C11—28no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11C22×Q812yes—
560C2×C4×C11C22×Q812yes—
561C2×C4×C11C22×Q812yes—
562C2×C4×C11C2×#4112yes—
563C2×C4×C11C2×#4112yes—
564C2×C4×C11C2×#4112yes—
565C2×C4×C11C2×#4112yes—
566C2×C4×C11C2×#4112yes—
567C2×C4×C11C2×#4112yes—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—21no—
576C2×Dic11—21no—
577C2×Dic11—21no—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11C22×Q812yes—
606C2×Dic11C22×Q812yes—
607C2×Dic11C22×Q812yes—
608C2×Dic11C22×Q812yes—
609C2×Dic11C2×#4112yes—
610C2×Dic11C2×#4112yes—
611C2×Dic11C2×#4112yes—
612C2×Dic11C2×#4112yes—
613C2×Dic11C2×#4112yes—
614C2×Dic11C2×#4112yes—
615C2×Dic112−1+412yes—
616Dic22—28no—
617Dic22—44no—
618Dic22—44no—
619C2×C4⋊Q8—111no—
620C2×#125—111no—
621C2×#125—111no—
622C2×#125—111no—
623C2×#125C2×D1111yescharacteristic
624C2×C4×Q8—111no—
625C2×C4×Q8—111no—
626C2×C4×Q8—111no—
627C2×C4×Q8—111no—
628C2×C4×Q8—111no—
629C2×C4×Q8—111no—
630C2×C4×Q8—111no—
631C2×C4×Q8C2×D1111yescharacteristic
632#400—111no—
633#400—111no—
634#400—111no—
635#400—111no—
636#400—111no—
637#400—111no—
638#400—111no—
639#400—111no—
640#398—111no—
641#398—111no—
642#398—111no—
643#398—111no—
644#398—111no—
645#398—111no—
646#398—111no—
647#398—111no—
648#398—111no—
649#398—111no—
650#398—111no—
651#398—111no—
652#398—111no—
653#398—111no—
654#398C2×D1111yescharacteristic
655#398C2×D1111yescharacteristic
656#395—111no—
657#395—111no—
658#395—111no—
659#395—111no—
660#395—111no—
661#395—111no—
662#395C2×D1111yescharacteristic
663#395C2×D1111yescharacteristic
664#391—111no—
665#391—111no—
666#391—111no—
667#391—111no—
668#391—111no—
669#391—111no—
670#391—111no—
671#391—111no—
672#391—111no—
673#391—111no—
674#389—111no—
675#389—111no—
676#389—111no—
677#389—111no—
678#389—111no—
679#389—111no—
680#389—111no—
681#389—111no—
682#389—111no—
683#389—111no—
684#389—111no—
685#389—111no—
686#389—111no—
687#389—111no—
688#389—111no—
689#389—111no—
690#389—111no—
691#389—111no—
692#389C2×D1111yescharacteristic
693#389C2×D1111yescharacteristic
694#387—111no—
695#387—111no—
696#387—111no—
697#387—111no—
698#387—111no—
699#387—111no—
700#387—111no—
701#387—111no—
702#387—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387C2×D1111yescharacteristic
721#387C2×D1111yescharacteristic
722#387C2×D1111yescharacteristic
723#387C2×D1111yescharacteristic
724#387C2×D1111yescharacteristic
725#387C2×D1111yescharacteristic
726#384—111no—
727#382—111no—
728#382—111no—
729#382—111no—
730#382—111no—
731C4×C4⋊C4—111no—
732C4×C4⋊C4—111no—
733C4×C4⋊C4—111no—
734C4×C4⋊C4—111no—
735C4×C4⋊C4—111no—
736C4×C4⋊C4—111no—
737C4×C4⋊C4—111no—
738C4×C4⋊C4—111no—
739C4×C4⋊C4—111no—
740C4×C4⋊C4—111no—
741C4×C4⋊C4—111no—
742C4×C4⋊C4—111no—
743C4×C4⋊C4—111no—
744C4×C4⋊C4—111no—
745C4×C4⋊C4—111no—
746C4×C4⋊C4—111no—
747C4×C4⋊C4—111no—
748C4×C4⋊C4—111no—
749C4×C4⋊C4—111no—
750C4×C4⋊C4—111no—
751C4×C4⋊C4—111no—
752C4×C4⋊C4—111no—
753C4×C4⋊C4—111no—
754C4×C4⋊C4—111no—
755C4×C4⋊C4—111no—
756C4×C4⋊C4—111no—
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4C2×D1111yescharacteristic
765#376—111no—
766#376—111no—
767#376—111no—
768#376—111no—
769C43—111no—
770C43—111no—
771C43—111no—
772C43—111no—
773C43—111no—
774C22×C11C23×Q811yescharacteristic
775C22×C11C22×#4111yescharacteristic
776C22×C11C22×#4111yescharacteristic
777C22×C11C22×#4111yescharacteristic
778C22×C11C22×#4111yescharacteristic
779C22×C11C2×2−1+411yescharacteristic
780C22×C11#58511yescharacteristic
781C4×C11—22no—
782C4×C11—22no—
783C4×C11—22no—
784C4×C11—22no—
785C4×C11—22no—
786C4×C11—22no—
787C4×C11—22no—
788C4×C11—22no—
789C4×C11—22no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11—41no—
796Dic11—22no—
797Dic11—22no—
798Dic11—22no—
799Dic11—22no—
800Dic11—22no—
801Dic11—41no—
802Dic11—41no—
803Dic11—41no—
804Dic11—41no—
805Dic11—41no—
806Dic11—41no—
807Dic11—41no—
808Dic11—41no—
809Dic11—41no—
810Dic11#53314yes—
811Dic11#55714yes—
812C22×Q8—111no—
813C22×Q8—111no—
814C22×Q8—111no—
815C22×Q8C22×D1111yescharacteristic
816C4⋊Q8—224no—
817#125—24no—
818#125—224no—
819#125—224no—
820#125—224no—
821C4×Q8—24no—
822C4×Q8—118no—
823C4×Q8—224no—
824C4×Q8—224no—
825C4×Q8—224no—
826C4×Q8—224no—
827C4×Q8—224no—
828C4×Q8—224no—
829C2×C4⋊C4—111no—
830C2×C4⋊C4—111no—
831C2×C4⋊C4—111no—
832C2×C4⋊C4—111no—
833C2×C4⋊C4—111no—
834C2×C4⋊C4—111no—
835C2×C4⋊C4—111no—
836C2×C4⋊C4—111no—
837C2×C4⋊C4—111no—
838C2×C4⋊C4—111no—
839C2×C4⋊C4—111no—
840C2×C4⋊C4—111no—
841C2×C4⋊C4—111no—
842C2×C4⋊C4—111no—
843C2×C4⋊C4—111no—
844C2×C4⋊C4—111no—
845C2×C4⋊C4—111no—
846C2×C4⋊C4—111no—
847C2×C4⋊C4—111no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4C22×D1111yescharacteristic
871C2×C4⋊C4C22×D1111yescharacteristic
872C2×C4⋊C4C22×D1111yescharacteristic
873C2×C4⋊C4C22×D1111yescharacteristic
874C2×C4⋊C4C22×D1111yescharacteristic
875C2×C4⋊C4C22×D1111yescharacteristic
876C2×C4⋊C4C22×D1111yescharacteristic
877C2×C4⋊C4C22×D1111yescharacteristic
878C2×C4⋊C4C22×D1111yescharacteristic
879C2×C4⋊C4C22×D1111yescharacteristic
880C2×C4⋊C4C22×D1111yescharacteristic
881C2×C4⋊C4C22×D1111yescharacteristic
882C2×C4⋊C4C22×D1111yescharacteristic
883C2×C4⋊C4C22×D1111yescharacteristic
884C2×C4⋊C4C22×D1111yescharacteristic
885C2×C42—111no—
886C2×C42—111no—
887C2×C42—111no—
888C2×C42—111no—
889C2×C42—111no—
890C2×C42—111no—
891C2×C42—111no—
892C2×C42—111no—
893C2×C42—111no—
894C2×C42—111no—
895C2×C42—111no—
896C2×C42—111no—
897C2×C42—111no—
898C2×C42—111no—
899C2×C42—111no—
900C2×C42—111no—
901C2×C42—111no—
902C2×C42—111no—
903C2×C42—111no—
904C2×C42—111no—
905C2×C42—111no—
906C2×C42—111no—
907C2×C42—111no—
908C2×C42—111no—
909C2×C42—111no—
910C2×C42—111no—
911C2×C42—111no—
912C2×C42—111no—
913C2×C42—111no—
914C2×C42—111no—
915C2×C42C22×D1111yescharacteristic
916C2×C42C22×D1111yescharacteristic
917C2×C42C22×D1111yescharacteristic
918C2×C42C22×D1111yescharacteristic
919C2×C42C22×D1111yescharacteristic
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—111no—
926#95—111no—
927#95—111no—
928#95—111no—
929#95—111no—
930#95—111no—
931#95—111no—
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95C22×D1111yescharacteristic
967#95C22×D1111yescharacteristic
968#95C22×D1111yescharacteristic
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974#95C22×D1111yescharacteristic
975#95C22×D1111yescharacteristic
976#95C22×D1111yescharacteristic
977#95C22×D1111yescharacteristic
978#95C22×D1111yescharacteristic
979#95C22×D1111yescharacteristic
980C2×C11C2×#53311yescharacteristic
981C2×C11#344411yescharacteristic
982C2×C11#346111yescharacteristic
983C2×C11#347511yescharacteristic
984C2×C11C2×#55711yescharacteristic
985C2×C11Q8×#4111yescharacteristic
986C2×C11#348211yescharacteristic
987C2×Q8—22no—
988C2×Q8—22no—
989C2×Q8—22no—
990C2×Q8—114no—
991C2×Q8—222no—
992C2×Q8—222no—
993C2×Q8—222no—
994C2×Q8—222no—
995C2×Q8—222no—
996C2×Q8—222no—
997C2×Q8—441no—
998C2×Q8—441no—
999C22×C4—111no—
1000C22×C4—111no—
1001C22×C4—111no—
1002C22×C4—111no—
1003C22×C4—111no—
1004C22×C4—111no—
1005C22×C4—111no—
1006C22×C4—111no—
1007C22×C4—111no—
1008C22×C4—111no—
1009C22×C4—111no—
1010C22×C4—111no—
1011C22×C4—111no—
1012C22×C4—111no—
1013C22×C4—111no—
1014C22×C4—111no—
1015C22×C4C23×D1111yescharacteristic
1016C22×C4C23×D1111yescharacteristic
1017C22×C4C23×D1111yescharacteristic
1018C22×C4C23×D1111yescharacteristic
1019C22×C4C23×D1111yescharacteristic
1020C22×C4C23×D1111yescharacteristic
1021C22×C4C23×D1111yescharacteristic
1022C22×C4C23×D1111yescharacteristic
1023C22×C4C23×D1111yescharacteristic
1024C22×C4C23×D1111yescharacteristic
1025C22×C4C23×D1111yescharacteristic
1026C22×C4C23×D1111yescharacteristic
1027C22×C4C23×D1111yescharacteristic
1028C22×C4C23×D1111yescharacteristic
1029C22×C4C23×D1111yescharacteristic
1030C4⋊C4—22no—
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—22no—
1036C4⋊C4—22no—
1037C4⋊C4—22no—
1038C4⋊C4—22no—
1039C4⋊C4—22no—
1040C4⋊C4—22no—
1041C4⋊C4—22no—
1042C4⋊C4—22no—
1043C4⋊C4—114no—
1044C4⋊C4—114no—
1045C4⋊C4—114no—
1046C4⋊C4—222no—
1047C4⋊C4—222no—
1048C4⋊C4—222no—
1049C4⋊C4—222no—
1050C4⋊C4—222no—
1051C4⋊C4—222no—
1052C4⋊C4—222no—
1053C4⋊C4—222no—
1054C4⋊C4—222no—
1055C4⋊C4—222no—
1056C4⋊C4—222no—
1057C4⋊C4—222no—
1058C4⋊C4—222no—
1059C4⋊C4—222no—
1060C4⋊C4—222no—
1061C4⋊C4—222no—
1062C4⋊C4—222no—
1063C4⋊C4—222no—
1064C4⋊C4—222no—
1065C4⋊C4—222no—
1066C4⋊C4—222no—
1067C4⋊C4—222no—
1068C4⋊C4—222no—
1069C4⋊C4—222no—
1070C4⋊C4—222no—
1071C4⋊C4—222no—
1072C4⋊C4—222no—
1073C4⋊C4—222no—
1074C4⋊C4—222no—
1075C4⋊C4—222no—
1076C4⋊C4—441no—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4—441no—
1080C4⋊C4—441no—
1081C4⋊C4—441no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4#434114yes—
1085C4⋊C4Q8×D1114yes—
1086C42—22no—
1087C42—22no—
1088C42—22no—
1089C42—22no—
1090C42—22no—
1091C42—114no—
1092C42—114no—
1093C42—114no—
1094C42—114no—
1095C42—114no—
1096C42—222no—
1097C42—222no—
1098C42—222no—
1099C42—222no—
1100C42—222no—
1101C42—222no—
1102C42—222no—
1103C42—222no—
1104C42—222no—
1105C42—222no—
1106C42—222no—
1107C42—222no—
1108C42—222no—
1109C42—222no—
1110C42—222no—
1111C42—222no—
1112C42—222no—
1113C42—222no—
1114C42—222no—
1115C42—222no—
1116C42—441no—
1117C42—441no—
1118C42—441no—
1119C42—441no—
1120C42—441no—
1121C11#3492011yescharacteristic, complemented, Sylow
1122C23C24×D1111yescharacteristic
1123Q8—28no—
1124Q8—228no—
1125Q8—444no—
1126Q8—444no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—112no—
1164C2×C4—112no—
1165C2×C4—112no—
1166C2×C4—112no—
1167C2×C4—112no—
1168C2×C4—112no—
1169C2×C4—112no—
1170C2×C4—112no—
1171C2×C4—112no—
1172C2×C4—112no—
1173C2×C4—112no—
1174C2×C4—221no—
1175C2×C4—221no—
1176C2×C4—221no—
1177C2×C4—221no—
1178C2×C4—221no—
1179C2×C4—221no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—221no—
1183C2×C4—221no—
1184C2×C4—221no—
1185C2×C4—221no—
1186C2×C4—221no—
1187C2×C4—221no—
1188C2×C4—221no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—221no—
1192C2×C4—221no—
1193C2×C4—221no—
1194C2×C4—221no—
1195C2×C4—221no—
1196C2×C4—221no—
1197C2×C4—221no—
1198C2×C4—221no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—221no—
1205C2×C4—221no—
1206C2×C4—221no—
1207C2×C4—221no—
1208C2×C4—221no—
1209C2×C4—221no—
1210C2×C4—221no—
1211C2×C4C2×#434112yes—
1212C2×C4C2×#434112yes—
1213C2×C4C2×#434112yes—
1214C2×C4C2×Q8×D1112yes—
1215C2×C4C2×Q8×D1112yes—
1216C2×C4C2×Q8×D1112yes—
1217C2×C4#41×D1112yes—
1218C2×C4#41×D1112yes—
1219C2×C4#41×D1112yes—
1220C22C22×#434111yescharacteristic
1221C22C22×Q8×D1111yescharacteristic
1222C22C2×#41×D1111yescharacteristic
1223C22C2×#41×D1111yescharacteristic
1224C22C2×#41×D1111yescharacteristic
1225C22D11×2−1+411yescharacteristic
1226C22#1062345711yescharacteristic
1227C4—22no—
1228C4—22no—
1229C4—22no—
1230C4—22no—
1231C4—22no—
1232C4—22no—
1233C4—22no—
1234C4—22no—
1235C4—22no—
1236C4—41no—
1237C4—41no—
1238C4—41no—
1239C4—41no—
1240C4—41no—
1241C4—41no—
1242C4—114no—
1243C4—114no—
1244C4—222no—
1245C4—222no—
1246C4—222no—
1247C4—222no—
1248C4—222no—
1249C4—441no—
1250C4—441no—
1251C4—441no—
1252C4—441no—
1253C4—441no—
1254C4—441no—
1255C4—441no—
1256C4—441no—
1257C4—441no—
1258C2D11×#53311yescharacteristic
1259C2#1308190811yescharacteristic
1260C2#1308204811yescharacteristic
1261C2#1308216911yescharacteristic
1262C2D11×#55711yescharacteristic
1263C2Q8×#434111yescharacteristic
1264C2#1308222811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, prime radical, cosocleC23×C11C25
FittingC11×#2462C2
hypercenter#2462D11
hypocenterC11#34920
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2462

Complements

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

NH ≅ G/Ntype
293. #66940Q8semidirect
1121. C11#34920semidirect

Maximal subgroups

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

subgroupindex
#130740862
#130740782
#130740562
#130740482
#130739982
#130739772
#130738022
#130736322
#130733062
#130733042
#130731512
#130731312
#130725922
#130724742
#130724542
#130719202
#130719062
#130711872
#125×Dic112
#130711732
#130710892
#130710872
C4×Q8×Dic112
C4×#669402
C11×#24622
#3492011