Finite Group Databasebeta

← #14753882

Subgroups — #14753882

Order 2816.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623105C211yesmaximal, characteristic
2C2×#10622453C211yesmaximal, characteristic, complemented
3#13071224C211yesmaximal, characteristic, complemented
4#13068705C211yesmaximal, characteristic, complemented
5#13068701C211yesmaximal, characteristic, complemented
6#13068631C211yesmaximal, characteristic, complemented
7#13068627C211yesmaximal, characteristic, complemented
8#13068613C211yesmaximal, characteristic, complemented
9#13068555C211yesmaximal, characteristic
10#13068555C211yesmaximal, characteristic
11#13068448C211yesmaximal, characteristic, complemented
12#13068440C211yesmaximal, characteristic, complemented
13#103×Dic11C211yesmaximal, characteristic, complemented
14#13068430C211yesmaximal, characteristic, complemented
15C11×#1803C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×Q8×Dic11C2211yescharacteristic
19#10623105—24no—
20#10623105C418yescomplemented
21C2×#66946—21no—
22C2×#66946C2211yescharacteristic
23C2×C4⋊C4×D11—21no—
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×C4×D44—21no—
26C2×C4×D44C2211yescharacteristic
27C2×#66925—21no—
28C2×#66925C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C11×#384C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66885C2211yescharacteristic
37C2×(C2×D11)⋊C8C2211yescharacteristic
38C2×(C2×D11)⋊C8C2211yescharacteristic
39C2×#66879C2211yescharacteristic
40C2×C8×Dic11C2211yescharacteristic
41#10622603—21no—
42#10622603—21no—
43#10622600C2211yescharacteristic
44#10622600C2211yescharacteristic
45#10622591—21no—
46#10622591—21no—
47C4⋊C4×Dic11C2211yescharacteristic
48C4⋊C4×Dic11C2211yescharacteristic
49C2×#66873C2211yescharacteristic
50C2×#66873C2211yescharacteristic
51#10622549C2211yescharacteristic
52C2×C4⋊(C11⋊C8)C2211yescharacteristic
53#10622453—24no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C2×#4343—22no—
64C2×#4343—22no—
65C2×#4343—22no—
66C2×#4343—22no—
67C2×#4343—22no—
68C2×#4343C2×C414yes—
69C22×D44—21no—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11—21no—
75C22×C4×D11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C4×Q8×C11—22no—
79C4×Q8×C11C2×C414yes—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88Q8×Dic11—22no—
89Q8×Dic11C2×C414yes—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4D411yescharacteristic
95C2×(C2×D11)⋊C4D411yescharacteristic
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4D411yescharacteristic
102C2×Dic11⋊C4D411yescharacteristic
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109#66946—28no—
110#66946—22no—
111#66946C2×C414yes—
112C4⋊C4×D11—22no—
113C4⋊C4×D11—28no—
114C4⋊C4×D11C2×C414yes—
115C4×D44—22no—
116C4×D44—28no—
117C4×D44C2×C414yes—
118#66925—28no—
119#66925C2×C414yes—
120#66925D414yes—
121C11×C4⋊C8—22no—
122C11×#103—22no—
123C11×#103—22no—
124#66899—22no—
125#66899—22no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132#66885—22no—
133#66885—22no—
134(C2×D11)⋊C8—22no—
135(C2×D11)⋊C8—22no—
136#66879—22no—
137C8×Dic11—22no—
138#66873—22no—
139#66873—22no—
140C4⋊(C11⋊C8)—22no—
141#20746—111nomaximal, Sylow
142C23×D11—21no—
143C23×D11C2×D411yescharacteristic
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11C22×C412yes—
148C2×Q8×C11#4112yes—
149C2×Q8×C11#4112yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2411yescharacteristic
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11C2×D411yescharacteristic
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163#4343—28no—
164#4343—28no—
165#4343—28no—
166#4343—28no—
167C2×D44—24no—
168C2×D44—24no—
169C2×D44—24no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44C22×C412yes—
174C2×D44#4112yes—
175C2×D44#4112yes—
176C2×C4×D11—24no—
177C2×C4×D11—24no—
178C2×C4×D11—24no—
179C2×C4×D11—24no—
180C2×C4×D11—24no—
181C2×C4×D11—24no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—21no—
185C2×C4×D11—21no—
186C2×C4×D11—81no—
187C2×C4×D11—81no—
188C2×C4×D11—81no—
189C2×C4×D11—81no—
190C2×C4×D11—81no—
191C2×C4×D11—81no—
192C2×C4×D11C22×C412yes—
193C2×C4×D11C2×D412yes—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—81no—
207C11×C4⋊C4—81no—
208C11×C4⋊C4C22×C412yes—
209C42×C11—24no—
210C42×C11C22×C412yes—
211C42×C11C2×D412yes—
212(C2×D11)⋊C4—24no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4—81no—
215(C2×D11)⋊C4—81no—
216(C2×D11)⋊C4C22⋊C414yes—
217(C2×D11)⋊C4C22⋊C414yes—
218C4⋊Dic11—24no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11C22×C412yes—
225Dic11⋊C4—24no—
226Dic11⋊C4C22⋊C414yes—
227Dic11⋊C4C22⋊C414yes—
228C4×Dic11—24no—
229C4×Dic11—81no—
230C4×Dic11—81no—
231C4×Dic11C22×C412yes—
232C4×Dic11C2×D412yes—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×#520—111no—
240C2×#433—111no—
241#2314—111no—
242#1824—111no—
243#1823—111no—
244#1805—111no—
245#1804—111no—
246#1803D1111yescharacteristic, complemented
247#1802—111no—
248#1788—111no—
249#1788—111no—
250#1763—111no—
251#1762—111no—
252C4×#103—111no—
253C4×#102—111no—
254C23×C11C22×D411yescharacteristic
255C22×D11—22no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—22no—
259C22×D11—22no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11C2×C22⋊C412yes—
269Q8×C11—22no—
270Q8×C11—22no—
271Q8×C11—22no—
272Q8×C11#11714yes—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11C2×C22⋊C412yes—
290C2×C4×C11C2×C22⋊C412yes—
291C2×C4×C11C23×C411yescharacteristic
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11C2×C22⋊C412yes—
313C2×Dic11C2×C22⋊C412yes—
314C2×Dic11C2×C22⋊C412yes—
315D44—216no—
316D44—22no—
317D44—22no—
318D44—22no—
319D44#11714yes—
320C4×D11—216no—
321C4×D11—22no—
322C4×D11—22no—
323C4×D11—22no—
324C4×D11—22no—
325C4×D11—84no—
326C4×D11—84no—
327C4×D11—84no—
328C8×C11—41no—
329C8×C11—41no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C22×#41—111no—
333#520—118no—
334#520—224no—
335C2×C4×Q8—111no—
336C2×C4×Q8C2×D1111yescharacteristic
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4—221no—
340C2×C4×D4—221no—
341C2×#117—111no—
342C2×#117—221no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#433—224no—
346C2×C4⋊C8—111no—
347C2×C4⋊C8C2×D1111yescharacteristic
348C2×#103—111no—
349C2×#103—111no—
350C2×#103C2×D1111yescharacteristic
351C2×#103C2×D1111yescharacteristic
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×C22⋊C8—111no—
357C2×C22⋊C8—111no—
358C2×#97—111no—
359C2×C4×C8—111no—
360#388—221no—
361#388—221no—
362#387—221no—
363#387—221no—
364#384C2×D1111yescharacteristic
365#382—111no—
366#380—111no—
367#380—111no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340C2×D1111yescharacteristic
377#340C2×D1111yescharacteristic
378C22×C11C22×C22⋊C411yescharacteristic
379C22×C11#52511yescharacteristic
380C22×C11#52511yescharacteristic
381C22×C11#57611yescharacteristic
382C22×C11#57711yescharacteristic
383C22×C11#57711yescharacteristic
384C22×C11#57811yescharacteristic
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—24no—
388C2×D11—22no—
389C2×D11—41no—
390C2×D11—42no—
391C2×D11—41no—
392C2×D11—42no—
393C2×D11—41no—
394C2×D11—42no—
395C2×D11—41no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—24no—
402C4×C11—42no—
403C4×C11—81no—
404C4×C11—81no—
405C4×C11C2×#11711yescharacteristic
406C4×C11C2×#11711yescharacteristic
407C4×C11#52511yescharacteristic
408C4×C11#52511yescharacteristic
409Dic11—22no—
410Dic11—22no—
411Dic11—22no—
412Dic11—42no—
413Dic11—81no—
414Dic11—81no—
415C2×#41—114no—
416C2×#41—222no—
417C2×#41—222no—
418C2×#41—222no—
419C2×#41—222no—
420C2×#41—222no—
421C22×Q8C22×D1111yescharacteristic
422C22×D4—111no—
423C22×D4—221no—
424C23×C4—111no—
425C23×C4—221no—
426C23×C4—221no—
427C23×C4—221no—
428C23×C4—221no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C4×Q8—22no—
434C4×Q8—114no—
435C4×Q8—222no—
436C4×Q8C4×D1114yes—
437C4×D4—114no—
438C4×D4—114no—
439C4×D4—228no—
440C4×D4—222no—
441C4×D4—228no—
442C4×D4—222no—
443#117—114no—
444#117—114no—
445#117—228no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—228no—
456C2×C4⋊C4—222no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—111no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—21no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—22no—
475C4⋊C8—222no—
476#103—22no—
477#103—22no—
478#103—222no—
479#103—222no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484C22⋊C8—222no—
485C22⋊C8—222no—
486#97—222no—
487C4×C8—222no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494C2×C11#228011yescharacteristic
495C2×C11#289711yescharacteristic
496C2×C11#289811yescharacteristic
497C2×C11#311911yescharacteristic
498C2×C11#312011yescharacteristic
499C2×C11#312411yescharacteristic
500C2×C11#312511yescharacteristic
501D11—42no—
502D11—44no—
503C24—111no—
504C24—221no—
505#41—228no—
506#41—228no—
507#41—228no—
508#41—228no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8C2×C4×D1112yes—
513C2×Q8#434112yes—
514C2×Q8#434312yes—
515C2×D4—112no—
516C2×D4—112no—
517C2×D4—112no—
518C2×D4—224no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—111no—
529C22×C4—111no—
530C22×C4—111no—
531C22×C4—112no—
532C22×C4—112no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—224no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—224no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—881no—
547C22×C4—881no—
548C22×C4—881no—
549C22×C4—881no—
550C22×C4—881no—
551C22×C4—881no—
552C22×C4D4×D1111yescharacteristic
553C22×C4D4×D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C4⋊C4—24no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—81no—
574C4⋊C4—81no—
575C4⋊C4—114no—
576C4⋊C4—114no—
577C4⋊C4—112no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C4⋊C4C2×C4×D1112yes—
586C22⋊C4—114no—
587C22⋊C4—114no—
588C22⋊C4—224no—
589C22⋊C4—224no—
590C22⋊C4—881no—
591C22⋊C4—881no—
592C42—24no—
593C42—112no—
594C42—112no—
595C42—224no—
596C42—881no—
597C42—881no—
598C42C2×C4×D1112yes—
599C42D4×D1112yes—
600C11#2074611yescharacteristic, complemented, Sylow
601C23—112no—
602C23—222no—
603C23—221no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23—222no—
608C23—221no—
609C23—222no—
610C23—221no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23C2×D4×D1111yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8#6694514yes—
620D4—114no—
621D4—2216no—
622D4—222no—
623D4—222no—
624D4—222no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—112no—
642C2×C4—112no—
643C2×C4—112no—
644C2×C4—2216no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—221no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—884no—
665C2×C4—884no—
666C2×C4—884no—
667C2×C4C22⋊C4×D1112yes—
668C2×C4C22⋊C4×D1112yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4C2×#434111yescharacteristic
672C2×C4C2×#434311yescharacteristic
673C2×C4#41×D1111yescharacteristic
674C2×C4#41×D1111yescharacteristic
675C8—41no—
676C8—41no—
677C8—441no—
678C8—441no—
679C22—222no—
680C22—224no—
681C22—222no—
682C22—222no—
683C22—441no—
684C22—442no—
685C22—441no—
686C22—442no—
687C22—441no—
688C22—442no—
689C22—441no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22C2×C22⋊C4×D1111yescharacteristic
694C22#1062313711yescharacteristic
695C22#1062315811yescharacteristic
696C22#1062329311yescharacteristic
697C22#1062329711yescharacteristic
698C22#1062330511yescharacteristic
699C22#1062330911yescharacteristic
700C4—22no—
701C4—24no—
702C4—22no—
703C4—42no—
704C4—81no—
705C4—81no—
706C4—222no—
707C4—222no—
708C4—222no—
709C4—442no—
710C4—881no—
711C4—881no—
712C4C2×#6694511yescharacteristic
713C4D11×#11711yescharacteristic
714C4#1062313711yescharacteristic
715C4#1062315811yescharacteristic
716C2—442no—
717C2—444no—
718C2#1307099811yescharacteristic
719C2#1307714011yescharacteristic
720C2#1307714411yescharacteristic
721C2#1307881411yescharacteristic
722C2#1307882911yescharacteristic
723C2#1307888511yescharacteristic
724C2#1307890011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1803C2
socleC23×C11C22×D4
prime radicalC22×#4343C22
cosocleC22×C4×C11C24
hypercenter#1803D11
hypocenterC11#20746
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1803

Complements

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

NH ≅ G/Ntype
2. C2×#10622453C2semidirect
3. #13071224C2semidirect
4. #13068705C2semidirect
5. #13068701C2semidirect
6. #13068631C2semidirect
7. #13068627C2semidirect
8. #13068613C2semidirect
11. #13068448C2semidirect
12. #13068440C2semidirect
13. #103×Dic11C2semidirect
14. #13068430C2semidirect
15. C11×#1803C2semidirect
20. #10623105C4semidirect
246. #1803D11semidirect
600. C11#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#106231052
C2×#106224532
#130712242
#130687052
#130687012
#130686312
#130686272
#130686132
#130685552
#130684482
#130684402
#103×Dic112
#130684302
C11×#18032
#2074611