Finite Group Databasebeta

← #14926228

Subgroups — #14926228

Order 2816.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073488C211yesmaximal, characteristic, complemented
2#13073486C211yesmaximal, characteristic, complemented
3#13073421C211yesmaximal, characteristic, complemented
4#13073419C211yesmaximal, characteristic, complemented
5#13073217C211yesmaximal, characteristic, complemented
6#13073127C211yesmaximal, characteristic, complemented
7#13073031C211yesmaximal, characteristic
8#13072950C211yesmaximal, characteristic
9#13072827C211yesmaximal, characteristic
10#13072825C211yesmaximal, characteristic
11#13072790C211yesmaximal, characteristic
12#13072788C211yesmaximal, characteristic
13#13072470C211yesmaximal, characteristic, complemented
14#13072387C211yesmaximal, characteristic, complemented
15#13072208C211yesmaximal, characteristic
16#13072112C211yesmaximal, characteristic
17#13071923C211yesmaximal, characteristic, complemented
18#13071921C211yesmaximal, characteristic, complemented
19#13071916C211yesmaximal, characteristic
20C4×#66941C211yesmaximal, characteristic, complemented
21C4×#66943C211yesmaximal, characteristic, complemented
22C4×#66942C211yesmaximal, characteristic, complemented
23C4×#66942C211yesmaximal, characteristic, complemented
24C4×#66932C211yesmaximal, characteristic
25C4×#66932C211yesmaximal, characteristic
26C4×#66931C211yesmaximal, characteristic
27C4×#66931C211yesmaximal, characteristic
28#13071088C211yesmaximal, characteristic, complemented
29C4×#66940C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic
31C11×#2401C211yesmaximal, characteristic
32C22×C4×Dic11C2211yescharacteristic
33C2×#66943C2211yescharacteristic
34C2×#66942C2211yescharacteristic
35C2×#66942C2211yescharacteristic
36C2×#66941C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66940C2211yescharacteristic
39C2×#66932C2211yescharacteristic
40C2×#66932C2211yescharacteristic
41C2×#66931C2211yescharacteristic
42C2×#66931C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C2×C4×Dic22C2211yescharacteristic
46C2×C4×Dic22C2211yescharacteristic
47C11×#401C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#397C2211yescharacteristic
52C11×#397C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#396C2211yescharacteristic
55C4×C11×C4⋊C4C2211yescharacteristic
56C4×C11×C4⋊C4C2211yescharacteristic
57C4×C11×C4⋊C4C2211yescharacteristic
58C4×C11×C22⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic
61C11×#376C2211yescharacteristic
62C4×C22⋊Dic11C2211yescharacteristic
63C4×C22⋊Dic11C2211yescharacteristic
64C4×C22⋊Dic11C2211yescharacteristic
65#10622598C2211yescharacteristic
66#10622598C2211yescharacteristic
67#10622597C2211yescharacteristic
68#10622596C2211yescharacteristic
69#10622595C2211yescharacteristic
70#10622594C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622593C2211yescharacteristic
73#10622591C2211yescharacteristic
74#10622591C2211yescharacteristic
75#10622590C2211yescharacteristic
76#10622589C2211yescharacteristic
77C4⋊C4×Dic11C2211yescharacteristic
78C4⋊C4×Dic11C2211yescharacteristic
79#10622586C2211yescharacteristic
80#10622586C2211yescharacteristic
81#10622585C2211yescharacteristic
82#10622585C2211yescharacteristic
83#10622566C2211yescharacteristic
84#10622565C2211yescharacteristic
85#10622565C2211yescharacteristic
86#10622564C2211yescharacteristic
87#10622564C2211yescharacteristic
88#10622563C2211yescharacteristic
89#10622563C2211yescharacteristic
90#10622561C2211yescharacteristic
91#10622559C2211yescharacteristic
92#10622559C2211yescharacteristic
93#10622558C2211yescharacteristic
94#10622558C2211yescharacteristic
95#10622557C2211yescharacteristic
96#10622557C2211yescharacteristic
97#10622555C2211yescharacteristic
98#10622555C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C4×C4⋊Dic11C2211yescharacteristic
102C4×C4⋊Dic11C2211yescharacteristic
103C4×C4⋊Dic11C2211yescharacteristic
104C4×C4⋊Dic11C2211yescharacteristic
105C4×C4⋊Dic11C2211yescharacteristic
106#10622545C2211yescharacteristic
107C4×Dic11⋊C4C2211yescharacteristic
108C4×Dic11⋊C4C2211yescharacteristic
109C4×Dic11⋊C4C2211yescharacteristic
110C4×Dic11⋊C4C2211yescharacteristic
111C4×Dic11⋊C4C2211yescharacteristic
112C4×Dic11⋊C4C2211yescharacteristic
113C4×Dic11⋊C4C2211yescharacteristic
114C4×Dic11⋊C4C2211yescharacteristic
115C4×Dic11⋊C4C2211yescharacteristic
116C4×Dic11⋊C4C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C42×Dic11C2211yescharacteristic
120C42×Dic11C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123C11⋊#401C2211yescharacteristic
124#10622273C2211yescharacteristic
125#10622273C2211yescharacteristic
126#10622273C2211yescharacteristic
127#10622273C2211yescharacteristic
128#10622273C2211yescharacteristic
129#10622272C2211yescharacteristic
130#10622272C2211yescharacteristic
131#10622271C2211yescharacteristic
132#10622271C2211yescharacteristic
133#10622271C2211yescharacteristic
134#10622270C2211yescharacteristic
135#10622270C2211yescharacteristic
136#10622270C2211yescharacteristic
137#10622270C2211yescharacteristic
138#10622270C2211yescharacteristic
139#10622268C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622268C2211yescharacteristic
142#10622268C2211yescharacteristic
143#10622268C2211yescharacteristic
144#10622268C2211yescharacteristic
145#10622268C2211yescharacteristic
146#10622268C2211yescharacteristic
147#10622267C2211yescharacteristic
148#10622267C2211yescharacteristic
149#10622267C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622266C2211yescharacteristic
154#10622266C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622265C2211yescharacteristic
159#10622265C2211yescharacteristic
160#10622265C2211yescharacteristic
161#10622264C2211yescharacteristic
162#10622264C2211yescharacteristic
163#10622263C2211yescharacteristic
164#10622263C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622261C2211yescharacteristic
172#10622261C2211yescharacteristic
173#10622260C2211yescharacteristic
174#10622260C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×Dic11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×Dic22C2311yescharacteristic
191C22×Dic22C2311yescharacteristic
192C2×C11×C4⋊C4C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C22⋊C4C2311yescharacteristic
199C2×C11×C22⋊C4C2311yescharacteristic
200C2×C11×C22⋊C4C2311yescharacteristic
201C2×C11×C22⋊C4C2311yescharacteristic
202C2×C11×C22⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C42×C11C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C22⋊Dic11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215C2×C22⋊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×Dic11⋊C4C2311yescharacteristic
229C2×Dic11⋊C4C2311yescharacteristic
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×Dic11—24no—
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
283#66943—24no—
284#66942—24no—
285#66942—24no—
286#66941—24no—
287#66940—24no—
288#66940—24no—
289#66932—24no—
290#66932—24no—
291#66931—24no—
292#66931—24no—
293#66930—24no—
294#66930—24no—
295C4×Dic22—24no—
296C4×Dic22—24no—
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#34975—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C22×C4×C11—22no—
360C22×C4×C11—22no—
361C22×C4×C11—22no—
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×Dic11—22no—
377C22×Dic11—22no—
378C22×Dic11—22no—
379C22×Dic11—22no—
380C22×Dic11—22no—
381C22×Dic11—22no—
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C2×Dic22—22no—
399C2×Dic22—22no—
400C2×Dic22—22no—
401C2×Dic22—22no—
402C2×Dic22—22no—
403C2×Dic22#4114yes—
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×C22⋊C4—22no—
411C11×C22⋊C4—22no—
412C11×C22⋊C4—22no—
413C11×C22⋊C4—22no—
414C11×C22⋊C4—22no—
415C11×C22⋊C4—22no—
416C42×C11—22no—
417C42×C11—22no—
418C42×C11—22no—
419C42×C11—22no—
420C42×C11—22no—
421C42×C11—22no—
422C22⋊Dic11—22no—
423C22⋊Dic11—22no—
424C22⋊Dic11—22no—
425C22⋊Dic11—22no—
426C22⋊Dic11—22no—
427C22⋊Dic11#4114yes—
428C4⋊Dic11—22no—
429C4⋊Dic11—22no—
430C4⋊Dic11—22no—
431C4⋊Dic11—22no—
432C4⋊Dic11—22no—
433C4⋊Dic11—22no—
434C4⋊Dic11—22no—
435C4⋊Dic11—22no—
436C4⋊Dic11—22no—
437C4⋊Dic11—22no—
438C4⋊Dic11—22no—
439C4⋊Dic11—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—22no—
454Dic11⋊C4—22no—
455Dic11⋊C4—22no—
456Dic11⋊C4—22no—
457Dic11⋊C4—22no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
466Dic11⋊C4#4114yes—
467Dic11⋊C4#4114yes—
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—22no—
481C4×Dic11—22no—
482C4×Dic11—22no—
483C4×Dic11—22no—
484C4×Dic11—22no—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—22no—
488C4×Dic11—22no—
489C4×Dic11—22no—
490C4×Dic11—22no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11#4114yes—
494#2533—111no—
495#2533—111no—
496#2528—111no—
497#2528—111no—
498#2514—111no—
499#2506—111no—
500#2496—111no—
501#2489—111no—
502#2478—111no—
503#2478—111no—
504#2475—111no—
505#2475—111no—
506#2453—111no—
507#2446—111no—
508#2429—111no—
509#2421—111no—
510#2402—111no—
511#2402—111no—
512#2401—111no—
513#2401D1111yescharacteristic
514C4×C4⋊Q8—111no—
515C4×#125—111no—
516C4×#125—111no—
517C4×#125—111no—
518C4×#126—111no—
519C4×#126—111no—
520C4×C22⋊Q8—111no—
521C4×C22⋊Q8—111no—
522#2295—111no—
523C42×Q8—111no—
524C4×#117—111no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11C2×#4112yes—
532C23×C11C2511yescharacteristic
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×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—44no—
570C2×C4×C11C2×#4112yes—
571C2×C4×C11C2×#4112yes—
572C2×C4×C11C2×#4112yes—
573C2×C4×C11C2×#4112yes—
574C2×C4×C112−1+412yes—
575C2×C4×C112−1+412yes—
576C2×Dic11—28no—
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×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—44no—
616C2×Dic11C2×#4112yes—
617C2×Dic11C2×#4112yes—
618C2×Dic11C2×#4112yes—
619C2×Dic11C2×#4112yes—
620C2×Dic11C2×#4112yes—
621C2×Dic11C2×#4112yes—
622C2×Dic11C2×#4112yes—
623C2×Dic11C2×#4112yes—
624C2×Dic11C2×#4112yes—
625C2×Dic11C2×#4112yes—
626Dic22—28no—
627Dic22—44no—
628C2×C4⋊Q8—111no—
629C2×#126—111no—
630C2×#126—111no—
631C2×#125—111no—
632C2×#125—111no—
633C2×#125—111no—
634C2×C22⋊Q8—111no—
635C2×C22⋊Q8—111no—
636C2×C4×Q8—111no—
637C2×C4×Q8—111no—
638C2×C4×Q8—111no—
639C2×C4×Q8—111no—
640C2×#117—111no—
641C2×#117—111no—
642C22×C42—111no—
643#401—111no—
644#401C2×D1111yescharacteristic
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#400—111no—
651#400—111no—
652#400—111no—
653#400—111no—
654#400—111no—
655#400—111no—
656#400C2×D1111yescharacteristic
657#400C2×D1111yescharacteristic
658#400C2×D1111yescharacteristic
659#398—111no—
660#398—111no—
661#398—111no—
662#398—111no—
663#398—111no—
664#398—111no—
665#398—111no—
666#398—111no—
667#397—111no—
668#397—111no—
669#397—111no—
670#397C2×D1111yescharacteristic
671#397C2×D1111yescharacteristic
672#397C2×D1111yescharacteristic
673#396—111no—
674#396C2×D1111yescharacteristic
675#391—111no—
676#391—111no—
677#391—111no—
678#391—111no—
679#391—111no—
680#391—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#389—111no—
693#389—111no—
694#389—111no—
695#388—111no—
696#388—111no—
697#388—111no—
698#388—111no—
699#388—111no—
700#388—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#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#385—111no—
728#385—111no—
729#385—111no—
730#385—111no—
731#384—111no—
732#383—111no—
733#383—111no—
734#382—111no—
735#382—111no—
736#382—111no—
737#380—111no—
738#380—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
765C4×C4⋊C4C2×D1111yescharacteristic
766C4×C4⋊C4C2×D1111yescharacteristic
767C4×C22⋊C4—111no—
768C4×C22⋊C4—111no—
769C4×C22⋊C4—111no—
770C4×C22⋊C4—111no—
771C4×C22⋊C4—111no—
772C4×C22⋊C4C2×D1111yescharacteristic
773C4×C22⋊C4C2×D1111yescharacteristic
774C4×C22⋊C4C2×D1111yescharacteristic
775#376—111no—
776#376—111no—
777#376—111no—
778#376C2×D1111yescharacteristic
779C43—111no—
780C43—111no—
781C43—111no—
782C43—111no—
783C22×C11—22no—
784C22×C11—22no—
785C22×C11—22no—
786C22×C11—41no—
787C22×C11—41no—
788C22×C11—41no—
789C22×C11—41no—
790C22×C11C22×#4111yescharacteristic
791C22×C11C22×#4111yescharacteristic
792C22×C11C22×#4111yescharacteristic
793C22×C11C22×#4111yescharacteristic
794C22×C11C22×#4111yescharacteristic
795C22×C11C2×2−1+411yescharacteristic
796C22×C11C2×2−1+411yescharacteristic
797C4×C11—22no—
798C4×C11—22no—
799C4×C11—22no—
800C4×C11—41no—
801C4×C11—41no—
802C4×C11—41no—
803C4×C11—41no—
804C4×C11—41no—
805C4×C11—41no—
806C4×C11—41no—
807C4×C11—41no—
808C4×C11—41no—
809C4×C11—41no—
810C4×C11#54114yes—
811Dic11—22no—
812Dic11—22no—
813Dic11—22no—
814Dic11—22no—
815Dic11—22no—
816Dic11—22no—
817Dic11—22no—
818Dic11—41no—
819Dic11—41no—
820Dic11—41no—
821Dic11—41no—
822Dic11—41no—
823Dic11—41no—
824Dic11—41no—
825Dic11—41no—
826Dic11#52914yes—
827C22×Q8—111no—
828C22×Q8—111no—
829C23×C4—111no—
830C23×C4—111no—
831C23×C4C22×D1111yescharacteristic
832C4⋊Q8—224no—
833#126—224no—
834#126—224no—
835#125—224no—
836#125—224no—
837#125—224no—
838C22⋊Q8—224no—
839C22⋊Q8—224no—
840C4×Q8—224no—
841C4×Q8—224no—
842C4×Q8—224no—
843C4×Q8—224no—
844#117—224no—
845#117—224no—
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⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C4⋊C4C22×D1111yescharacteristic
891C2×C4⋊C4C22×D1111yescharacteristic
892C2×C22⋊C4—111no—
893C2×C22⋊C4—111no—
894C2×C22⋊C4—111no—
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4C22×D1111yescharacteristic
899C2×C22⋊C4C22×D1111yescharacteristic
900C2×C22⋊C4C22×D1111yescharacteristic
901C2×C22⋊C4C22×D1111yescharacteristic
902C2×C22⋊C4C22×D1111yescharacteristic
903C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
916C2×C42—111no—
917C2×C42—111no—
918C2×C42—111no—
919C2×C42—111no—
920C2×C42—111no—
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—224no—
931C2×C42C22×D1111yescharacteristic
932C2×C42C22×D1111yescharacteristic
933C2×C42C22×D1111yescharacteristic
934C2×C42C22×D1111yescharacteristic
935C2×C42C22×D1111yescharacteristic
936C2×C42C22×D1111yescharacteristic
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#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95C22×D1111yescharacteristic
982#95C22×D1111yescharacteristic
983#95C22×D1111yescharacteristic
984#95C22×D1111yescharacteristic
985#95C22×D1111yescharacteristic
986#95C22×D1111yescharacteristic
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997C2×C11—42no—
998C2×C11C2×#52911yescharacteristic
999C2×C11#344411yescharacteristic
1000C2×C11C2×#54111yescharacteristic
1001C2×C11#348211yescharacteristic
1002C2×C11#348211yescharacteristic
1003C2×C11#348211yescharacteristic
1004C2×C11#348211yescharacteristic
1005C24C23×D1111yescharacteristic
1006C2×Q8—114no—
1007C2×Q8—222no—
1008C2×Q8—222no—
1009C2×Q8—222no—
1010C2×Q8—222no—
1011C2×Q8—222no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—111no—
1016C22×C4—111no—
1017C22×C4—111no—
1018C22×C4—111no—
1019C22×C4—111no—
1020C22×C4—111no—
1021C22×C4—111no—
1022C22×C4—111no—
1023C22×C4—111no—
1024C22×C4—111no—
1025C22×C4—111no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—222no—
1032C22×C4—222no—
1033C22×C4—222no—
1034C22×C4—222no—
1035C22×C4—222no—
1036C22×C4—222no—
1037C22×C4C23×D1111yescharacteristic
1038C22×C4C23×D1111yescharacteristic
1039C22×C4C23×D1111yescharacteristic
1040C22×C4C23×D1111yescharacteristic
1041C22×C4C23×D1111yescharacteristic
1042C22×C4C23×D1111yescharacteristic
1043C22×C4C23×D1111yescharacteristic
1044C22×C4C23×D1111yescharacteristic
1045C22×C4C23×D1111yescharacteristic
1046C22×C4C23×D1111yescharacteristic
1047C22×C4C23×D1111yescharacteristic
1048C22×C4C23×D1111yescharacteristic
1049C22×C4C23×D1111yescharacteristic
1050C22×C4C23×D1111yescharacteristic
1051C4⋊C4—22no—
1052C4⋊C4—22no—
1053C4⋊C4—22no—
1054C4⋊C4—22no—
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—114no—
1058C4⋊C4—114no—
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—222no—
1077C4⋊C4—222no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—222no—
1081C4⋊C4—222no—
1082C4⋊C4—222no—
1083C4⋊C4—222no—
1084C4⋊C4—222no—
1085C4⋊C4—222no—
1086C4⋊C4—222no—
1087C4⋊C4—222no—
1088C4⋊C4—222no—
1089C4⋊C4—222no—
1090C4⋊C4—222no—
1091C4⋊C4—222no—
1092C4⋊C4—222no—
1093C4⋊C4—222no—
1094C4⋊C4—222no—
1095C4⋊C4—222no—
1096C4⋊C4—222no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—22no—
1100C22⋊C4—22no—
1101C22⋊C4—22no—
1102C22⋊C4—22no—
1103C22⋊C4—114no—
1104C22⋊C4—222no—
1105C22⋊C4—222no—
1106C22⋊C4—222no—
1107C22⋊C4—222no—
1108C22⋊C4—222no—
1109C42—22no—
1110C42—22no—
1111C42—22no—
1112C42—22no—
1113C42—22no—
1114C42—22no—
1115C42—114no—
1116C42—222no—
1117C42—222no—
1118C42—222no—
1119C42—222no—
1120C42—222no—
1121C42—222no—
1122C42—222no—
1123C42—222no—
1124C42—222no—
1125C42—222no—
1126C42—222no—
1127C42—222no—
1128C42—222no—
1129C42—222no—
1130C42—222no—
1131C42—222no—
1132C42—222no—
1133C42—222no—
1134C42—222no—
1135C42—222no—
1136C42—222no—
1137C42—222no—
1138C42—222no—
1139C42—222no—
1140C42—222no—
1141C11#3497511yescharacteristic, complemented, Sylow
1142C23—21no—
1143C23—21no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23#41×D1112yes—
1149C23C24×D1111yescharacteristic
1150Q8—228no—
1151Q8—444no—
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—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—44no—
1189C2×C4—112no—
1190C2×C4—112no—
1191C2×C4—112no—
1192C2×C4—112no—
1193C2×C4—112no—
1194C2×C4—112no—
1195C2×C4—112no—
1196C2×C4—112no—
1197C2×C4—112no—
1198C2×C4—112no—
1199C2×C4—228no—
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×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—444no—
1239C2×C4#41×D1112yes—
1240C2×C4#41×D1112yes—
1241C2×C4#41×D1112yes—
1242C2×C4#41×D1112yes—
1243C2×C4#6704312yes—
1244C2×C4#6704312yes—
1245C22—22no—
1246C22—22no—
1247C22—22no—
1248C22—41no—
1249C22—41no—
1250C22—41no—
1251C22—41no—
1252C22C2×#41×D1111yescharacteristic
1253C22C2×#41×D1111yescharacteristic
1254C22C2×#41×D1111yescharacteristic
1255C22C2×#41×D1111yescharacteristic
1256C22C2×#41×D1111yescharacteristic
1257C22C2×#6704311yescharacteristic
1258C22C2×#6704311yescharacteristic
1259C4—22no—
1260C4—22no—
1261C4—22no—
1262C4—41no—
1263C4—41no—
1264C4—41no—
1265C4—41no—
1266C4—41no—
1267C4—41no—
1268C4—41no—
1269C4—41no—
1270C4—41no—
1271C4—41no—
1272C4—114no—
1273C4—222no—
1274C4—222no—
1275C4—222no—
1276C4—222no—
1277C4—222no—
1278C4—222no—
1279C4—222no—
1280C4—441no—
1281C4—441no—
1282C4—441no—
1283C4—441no—
1284C4—441no—
1285C4—441no—
1286C4—441no—
1287C4—441no—
1288C4#1062323214yes—
1289C2—42no—
1290C2D11×#52911yescharacteristic
1291C2#1308191011yescharacteristic
1292C2C2×#1062323211yescharacteristic
1293C2#1308222911yescharacteristic
1294C2#1308222911yescharacteristic
1295C2#1308222911yescharacteristic
1296C2#1308222911yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2401C2
prime radicalC24×C11C24
hypercenter#2401D11
hypocenterC11#34975
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2401

Complements

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

NH ≅ G/Ntype
1. #13073488C2semidirect
2. #13073486C2semidirect
3. #13073421C2semidirect
4. #13073419C2semidirect
5. #13073217C2semidirect
6. #13073127C2semidirect
13. #13072470C2semidirect
14. #13072387C2semidirect
17. #13071923C2semidirect
18. #13071921C2semidirect
20. C4×#66941C2semidirect
21. C4×#66943C2semidirect
22. C4×#66942C2semidirect
23. C4×#66942C2semidirect
28. #13071088C2semidirect
29. C4×#66940C2semidirect
1141. C11#34975semidirect

Maximal subgroups

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

subgroupindex
#130734882
#130734862
#130734212
#130734192
#130732172
#130731272
#130730312
#130729502
#130728272
#130728252
#130727902
#130727882
#130724702
#130723872
#130722082
#130721122
#130719232
#130719212
#130719162
C4×#669412
C4×#669432
C4×#669422
C4×#669322
C4×#669312
#130710882
C4×#669402
C4×#669302
C11×#24012
#3497511