Finite Group Databasebeta

← #14925479

Subgroups — #14925479

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#13074085C211yesmaximal, characteristic
2#13074077C211yesmaximal, characteristic
3#13074055C211yesmaximal, characteristic
4#13074047C211yesmaximal, characteristic
5#13074000C211yesmaximal, characteristic
6#13073979C211yesmaximal, characteristic
7#13073802C211yesmaximal, characteristic
8#13073632C211yesmaximal, characteristic
9#13073299C211yesmaximal, characteristic
10#13073297C211yesmaximal, characteristic
11#13073147C211yesmaximal, characteristic
12#13073127C211yesmaximal, characteristic
13#13072601C211yesmaximal, characteristic
14#13072599C211yesmaximal, characteristic
15#13072470C211yesmaximal, characteristic
16#13072450C211yesmaximal, characteristic
17#13071923C211yesmaximal, characteristic
18#13071910C211yesmaximal, characteristic
19#13071910C211yesmaximal, characteristic
20C4×#66941C211yesmaximal, characteristic
21C4×#66943C211yesmaximal, characteristic
22C4×#66942C211yesmaximal, characteristic
23C4×#66942C211yesmaximal, characteristic
24C4×#66942C211yesmaximal, characteristic
25#13071092C211yesmaximal, characteristic
26#13071090C211yesmaximal, characteristic
27#13071088C211yesmaximal, characteristic
28#13071088C211yesmaximal, characteristic
29C4×#66940C211yesmaximal, characteristic
30C4×#66940C211yesmaximal, characteristic
31C11×#2402C211yesmaximal, characteristic
32C2×#66943C2211yescharacteristic
33C2×#66942C2211yescharacteristic
34C2×#66942C2211yescharacteristic
35C2×#66942C2211yescharacteristic
36C2×#66941C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66940C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#400C2211yescharacteristic
46C11×#400C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#398C2211yescharacteristic
50C11×#398C2211yescharacteristic
51C11×#398C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
55C4×C11×C4⋊C4C2211yescharacteristic
56C4×C11×C4⋊C4C2211yescharacteristic
57C4×C11×C4⋊C4C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic
59C11×#376C2211yescharacteristic
60#10622598C2211yescharacteristic
61#10622598C2211yescharacteristic
62#10622597C2211yescharacteristic
63#10622597C2211yescharacteristic
64#10622597C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622596C2211yescharacteristic
68#10622595C2211yescharacteristic
69#10622594C2211yescharacteristic
70#10622594C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622593C2211yescharacteristic
73#10622592C2211yescharacteristic
74#10622592C2211yescharacteristic
75#10622592C2211yescharacteristic
76#10622592C2211yescharacteristic
77#10622591C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622590C2211yescharacteristic
83#10622589C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88#10622587C2211yescharacteristic
89#10622587C2211yescharacteristic
90#10622586C2211yescharacteristic
91#10622586C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622586C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99C4×C4⋊Dic11C2211yescharacteristic
100C4×C4⋊Dic11C2211yescharacteristic
101C4×C4⋊Dic11C2211yescharacteristic
102C4×C4⋊Dic11C2211yescharacteristic
103#10622545C2211yescharacteristic
104#10622545C2211yescharacteristic
105#10622545C2211yescharacteristic
106C4×Dic11⋊C4C2211yescharacteristic
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
118C42×Dic11C2211yescharacteristic
119C42×Dic11C2211yescharacteristic
120C42×Dic11C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123#10622272C2211yescharacteristic
124#10622271C2211yescharacteristic
125#10622271C2211yescharacteristic
126#10622270C2211yescharacteristic
127#10622270C2211yescharacteristic
128#10622270C2211yescharacteristic
129#10622270C2211yescharacteristic
130#10622270C2211yescharacteristic
131#10622269C2211yescharacteristic
132#10622269C2211yescharacteristic
133#10622269C2211yescharacteristic
134#10622269C2211yescharacteristic
135#10622268C2211yescharacteristic
136#10622268C2211yescharacteristic
137#10622268C2211yescharacteristic
138#10622268C2211yescharacteristic
139#10622268C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622267C2211yescharacteristic
142#10622267C2211yescharacteristic
143#10622267C2211yescharacteristic
144#10622267C2211yescharacteristic
145#10622267C2211yescharacteristic
146#10622267C2211yescharacteristic
147#10622266C2211yescharacteristic
148#10622266C2211yescharacteristic
149#10622266C2211yescharacteristic
150#10622266C2211yescharacteristic
151#10622266C2211yescharacteristic
152#10622265C2211yescharacteristic
153#10622265C2211yescharacteristic
154#10622265C2211yescharacteristic
155#10622265C2211yescharacteristic
156#10622265C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622265C2211yescharacteristic
159#10622263C2211yescharacteristic
160#10622263C2211yescharacteristic
161#10622263C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622260C2211yescharacteristic
171#10622260C2211yescharacteristic
172#10622260C2211yescharacteristic
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×Dic22C2311yescharacteristic
188C22×Dic22C2311yescharacteristic
189C22×Dic22C2311yescharacteristic
190C22×Dic22C2311yescharacteristic
191C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C42×C11C2311yescharacteristic
204C2×C42×C11C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C4⋊Dic11C2311yescharacteristic
211C2×C4⋊Dic11C2311yescharacteristic
212C2×C4⋊Dic11C2311yescharacteristic
213C2×C4⋊Dic11C2311yescharacteristic
214C2×C4⋊Dic11C2311yescharacteristic
215C2×C4⋊Dic11C2311yescharacteristic
216C2×C4⋊Dic11C2311yescharacteristic
217C2×C4⋊Dic11C2311yescharacteristic
218C2×C4⋊Dic11C2311yescharacteristic
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×Dic11⋊C4C2311yescharacteristic
223C2×Dic11⋊C4C2311yescharacteristic
224C2×Dic11⋊C4C2311yescharacteristic
225C2×Dic11⋊C4C2311yescharacteristic
226C2×Dic11⋊C4C2311yescharacteristic
227C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
255C2×C4×Dic11C2311yescharacteristic
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
282#66943—24no—
283#66942—24no—
284#66942—24no—
285#66942—24no—
286#66941—24no—
287#66940—24no—
288#66940—24no—
289#66940—24no—
290#66940—24no—
291C4×Dic22—24no—
292C4×Dic22—24no—
293C4×Dic22—24no—
294C4×Dic22Q818yescomplemented
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
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
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×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
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
387C2×Dic22—22no—
388C2×Dic22—22no—
389C2×Dic22—22no—
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—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C42×C11—22no—
412C42×C11—22no—
413C42×C11—22no—
414C42×C11—22no—
415C42×C11—22no—
416C42×C11—22no—
417C42×C11C2×Q814yes—
418C4⋊Dic11—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—41no—
429C4⋊Dic11C2×Q814yes—
430Dic11⋊C4—22no—
431Dic11⋊C4—22no—
432Dic11⋊C4—22no—
433Dic11⋊C4—22no—
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—22no—
454Dic11⋊C4—41no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457Dic11⋊C4—41no—
458Dic11⋊C4C2×Q814yes—
459Dic11⋊C4C2×Q814yes—
460Dic11⋊C4#4114yes—
461Dic11⋊C4#4114yes—
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—22no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
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#2462—111no—
504#2453—111no—
505#2451—111no—
506#2402—111no—
507#2402D1111yescharacteristic
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
522C2×C4×C11—21no—
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×C112−1+412yes—
567C2×Dic11—21no—
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×Dic11C22×Q812yes—
604C2×Dic11C22×Q812yes—
605C2×Dic11C22×Q812yes—
606C2×Dic11C22×Q812yes—
607C2×Dic11C2×#4112yes—
608C2×Dic11C2×#4112yes—
609C2×Dic11C2×#4112yes—
610C2×Dic11C2×#4112yes—
611C2×Dic11C2×#4112yes—
612C2×Dic11C2×#4112yes—
613C2×Dic11C2×#4112yes—
614C2×Dic11C2×#4112yes—
615Dic22—28no—
616Dic22—28no—
617Dic22—44no—
618Dic22—44no—
619C2×C4⋊Q8—111no—
620C2×#125—111no—
621C2×#125—111no—
622C2×#125—111no—
623C2×#125—111no—
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×Q8—111no—
632#400—111no—
633#400—111no—
634#400—111no—
635#400—111no—
636#400C2×D1111yescharacteristic
637#400C2×D1111yescharacteristic
638#400C2×D1111yescharacteristic
639#400C2×D1111yescharacteristic
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#398C2×D1111yescharacteristic
653#398C2×D1111yescharacteristic
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#395—111no—
663#395—111no—
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#389—111no—
693#389—111no—
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#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
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⋊C4C2×D1111yescharacteristic
760C4×C4⋊C4C2×D1111yescharacteristic
761C4×C4⋊C4C2×D1111yescharacteristic
762C4×C4⋊C4C2×D1111yescharacteristic
763C4×C4⋊C4C2×D1111yescharacteristic
764C4×C4⋊C4C2×D1111yescharacteristic
765#376—111no—
766#376—111no—
767#376—111no—
768#376C2×D1111yescharacteristic
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—41no—
787C4×C11—41no—
788C4×C11—41no—
789C4×C11—41no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11#55714yes—
796Dic11—22no—
797Dic11—22no—
798Dic11—22no—
799Dic11—22no—
800Dic11—22no—
801Dic11—22no—
802Dic11—22no—
803Dic11—22no—
804Dic11—22no—
805Dic11—41no—
806Dic11—41no—
807Dic11—41no—
808Dic11—41no—
809Dic11—41no—
810Dic11—41no—
811Dic11#53314yes—
812C22×Q8—111no—
813C22×Q8—111no—
814C22×Q8—111no—
815C22×Q8—111no—
816C4⋊Q8—224no—
817#125—224no—
818#125—224no—
819#125—224no—
820#125—224no—
821C4×Q8—118no—
822C4×Q8—224no—
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⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
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×C42C22×D1111yescharacteristic
914C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
965#95C22×D1111yescharacteristic
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—114no—
988C2×Q8—222no—
989C2×Q8—222no—
990C2×Q8—222no—
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—41no—
1040C4⋊C4—41no—
1041C4⋊C4—41no—
1042C4⋊C4—114no—
1043C4⋊C4—114no—
1044C4⋊C4—114no—
1045C4⋊C4—114no—
1046C4⋊C4—114no—
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—222no—
1077C4⋊C4—222no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—222no—
1081C4⋊C4—441no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C42—22no—
1087C42—22no—
1088C42—22no—
1089C42—22no—
1090C42—22no—
1091C42—22no—
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—441no—
1116C42—441no—
1117C42—441no—
1118C42—441no—
1119C42—441no—
1120C42Q8×D1114yes—
1121C11#3492011yescharacteristic, complemented, Sylow
1122C23C24×D1111yescharacteristic
1123Q8—228no—
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—21no—
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—112no—
1175C2×C4—112no—
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×C4—221no—
1212C2×C4C2×Q8×D1112yes—
1213C2×C4C2×Q8×D1112yes—
1214C2×C4C2×Q8×D1112yes—
1215C2×C4#41×D1112yes—
1216C2×C4#41×D1112yes—
1217C2×C4#41×D1112yes—
1218C2×C4#41×D1112yes—
1219C2×C4#6704312yes—
1220C22C22×Q8×D1111yescharacteristic
1221C22C2×#41×D1111yescharacteristic
1222C22C2×#41×D1111yescharacteristic
1223C22C2×#41×D1111yescharacteristic
1224C22C2×#41×D1111yescharacteristic
1225C22C2×#6704311yescharacteristic
1226C22#1062345311yescharacteristic
1227C4—22no—
1228C4—22no—
1229C4—22no—
1230C4—22no—
1231C4—22no—
1232C4—41no—
1233C4—41no—
1234C4—41no—
1235C4—41no—
1236C4—41no—
1237C4—41no—
1238C4—41no—
1239C4—41no—
1240C4—41no—
1241C4—114no—
1242C4—222no—
1243C4—222no—
1244C4—222no—
1245C4—222no—
1246C4—222no—
1247C4—222no—
1248C4—222no—
1249C4—222no—
1250C4—222no—
1251C4—441no—
1252C4—441no—
1253C4—441no—
1254C4—441no—
1255C4—441no—
1256C4—441no—
1257C4#1062321614yes—
1258C2D11×#53311yescharacteristic
1259C2#1308191011yescharacteristic
1260C2#1308204111yescharacteristic
1261C2#1308216811yescharacteristic
1262C2C2×#1062321611yescharacteristic
1263C2#1308219411yescharacteristic
1264C2#1308222911yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, prime radical, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2402C2
hypercenter#2402D11
hypocenterC11#34920
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2402

Complements

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

NH ≅ G/Ntype
294. C4×Dic22Q8semidirect
1121. C11#34920semidirect

Maximal subgroups

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

subgroupindex
#130740852
#130740772
#130740552
#130740472
#130740002
#130739792
#130738022
#130736322
#130732992
#130732972
#130731472
#130731272
#130726012
#130725992
#130724702
#130724502
#130719232
#130719102
C4×#669412
C4×#669432
C4×#669422
#130710922
#130710902
#130710882
C4×#669402
C11×#24022
#3492011