Finite Group Databasebeta

← #29646290

Subgroups — #29646290

Order 15616.

1060 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840438C211yesmaximal, characteristic
2#21454855C212yesmaximal, complemented
3#21444185C212yesmaximal, complemented
4#21444184C212yesmaximal, complemented
5#21444164C212yesmaximal, complemented
6#21444154C211yesmaximal, characteristic, complemented
7#21444150C211yesmaximal, characteristic, complemented
8#21444134C211yesmaximal, characteristic, complemented
9#21444130C211yesmaximal, characteristic, complemented
10C2×#16839486C211yesmaximal, characteristic, complemented
11C61×#1462C211yesmaximal, characteristic, complemented
12#16840438—22no—
13#16840438—22no—
14#16840438—22no—
15#16840438—22no—
16C2×#14519770C411yescharacteristic
17C2×#14519770C2211yescharacteristic
18C2×#14519763C411yescharacteristic
19C2×#14519761C411yescharacteristic
20C2×#14519760C411yescharacteristic
21C2×#14519759C2211yescharacteristic
22C2×#14519756C2211yescharacteristic
23C2×#14519754C411yescharacteristic
24C2×#14519746C411yescharacteristic
25C2×C4×C22⋊D61C2211yescharacteristic
26C2×#14519737C2211yescharacteristic
27C2×#14519736C411yescharacteristic
28C2×#14519733C2211yescharacteristic
29C22×C22⋊Dic61C411yescharacteristic
30#16839838—22no—
31#16839831—22no—
32#16839830—22no—
33#16839825—22no—
34#16839816C2212yescomplemented
35#16839812C2212yescomplemented
36#16839724C2212yescomplemented
37C2×C22⋊#92418C2212yes—
38C22⋊C8×D61C2212yescomplemented
39#16839487C2212yescomplemented
40#16839487C2212yescomplemented
41#16839487C2212yescomplemented
42#16839487C2212yescomplemented
43#16839486C2211yescharacteristic
44#16839486C2211yescharacteristic
45#16839486C2212yes—
46C22×C22⋊C4×C61C2211yescharacteristic
47C61×#407C2212yes—
48C61×#323C2211yescharacteristic
49C61×#323C2211yescharacteristic
50C61×#323C2212yes—
51C22×Dic122C2×C411yescharacteristic
52C22×C22⋊D61C2×C411yescharacteristic
53C22×C22⋊D61C2×C411yescharacteristic
54C22×C22⋊D61C2×C411yescharacteristic
55C23×Dic61C2×C411yescharacteristic
56C23×Dic61C2×C411yescharacteristic
57C22×C4×D61C2311yescharacteristic
58C2×#11758189—22no—
59C22×#92418—22no—
60C2×C8×D61—22no—
61#14519770—22no—
62#14519770—22no—
63#14519770—22no—
64#14519770—22no—
65#14519763—22no—
66#14519763—22no—
67#14519761—22no—
68#14519761—22no—
69#14519760—22no—
70#14519760—22no—
71#14519759—22no—
72#14519759—22no—
73#14519756—22no—
74#14519756—22no—
75#14519754—22no—
76#14519754—22no—
77#14519746—22no—
78#14519746—22no—
79C4×C22⋊D61D412yes—
80C4×C22⋊D61D412yes—
81C4×C22⋊D61D412yes—
82C4×C22⋊D61D412yes—
83#14519737—22no—
84#14519737—22no—
85#14519736—21no—
86#14519736—21no—
87#14519736—21no—
88#14519736—21no—
89#14519733—22no—
90#14519733—22no—
91C2×C4⋊Dic61C2×C411yescharacteristic
92C2×C4⋊Dic61C2×C411yescharacteristic
93C2×C4⋊Dic61C2×C411yescharacteristic
94C2×#11758196C2×C411yescharacteristic
95C2×#11758196C2×C411yescharacteristic
96C2×#11758196C2×C411yescharacteristic
97C2×#11758196C2311yescharacteristic
98C2×#11758196C2311yescharacteristic
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×C22⋊Dic61C2×C411yescharacteristic
104C2×C22⋊Dic61C2×C411yescharacteristic
105C2×C22⋊Dic61C2×C411yescharacteristic
106C2×C22⋊Dic61C2×C411yescharacteristic
107C2×C22⋊Dic61C2×C411yescharacteristic
108C2×C22⋊Dic61C2×C411yescharacteristic
109C2×C22⋊Dic61C2×C411yescharacteristic
110C2×#11758198C2×C411yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×#11758198C2×C411yescharacteristic
113C2×C4×Dic61C2×C411yescharacteristic
114C2×C4×Dic61C2×C411yescharacteristic
115C2×C4×Dic61C2311yescharacteristic
116#14519706—22no—
117#14519706—22no—
118C22⋊#92418—22no—
119C22⋊#92418C2312yes—
120C22⋊#92418C2312yes—
121#14519689—22no—
122#14519689—22no—
123#14519687—22no—
124C8×Dic61—22no—
125C25×C61C2×C411yescharacteristic
126C23×C4×C61C2×C411yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C2×M16×C61—22no—
129C2×C22⋊C4×C61—22no—
130C2×C22⋊C4×C61—22no—
131C2×C22⋊C4×C61C2×C411yescharacteristic
132C2×C22⋊C4×C61C2×C411yescharacteristic
133C2×C22⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61C2311yescharacteristic
135C22⋊C8×C61—22no—
136C22⋊C8×C61C2312yes—
137C22⋊C8×C61C2312yes—
138C24×C61—21no—
139C24×C61—21no—
140C24×C61—22no—
141C24×C61—41no—
142C24×C61—42no—
143C24×C61—81no—
144C24×C61C22×C411yescharacteristic
145C24×C61C22×C411yescharacteristic
146C24×C61C22×C411yescharacteristic
147C23×D61C22×C411yescharacteristic
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—42no—
151C22×C4×C61—81no—
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C2×D412yes—
156C22×C4×C61C2×D412yes—
157C22×C4×C61C2411yescharacteristic
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—41no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—81no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C22×Dic61—22no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—41no—
172C22×Dic61—81no—
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C22×C411yescharacteristic
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C22×C411yescharacteristic
177C22×Dic61C22×C411yescharacteristic
178C22×Dic61C22×C411yescharacteristic
179C22×Dic61C22×C411yescharacteristic
180C2×C4×D61—81no—
181C2×C4×D61C2×D412yes—
182C2×C4×D61C2×D412yes—
183C2×Dic122—22no—
184C2×Dic122—81no—
185M16×C61—82no—
186C2×C8×C61—22no—
187C2×C8×C61—22no—
188C22⋊C4×C61—22no—
189C22⋊C4×C61—22no—
190C22⋊C4×C61—22no—
191C22⋊C4×C61—22no—
192C22⋊Dic61—21no—
193C22⋊Dic61—21no—
194C22⋊Dic61—21no—
195C22⋊Dic61—21no—
196C22⋊Dic61—21no—
197C22⋊Dic61—21no—
198C22⋊Dic61—21no—
199C22⋊Dic61—21no—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61C22⋊C411yescharacteristic
203C22⋊Dic61C22⋊C411yescharacteristic
204C22⋊Dic61C22⋊C411yescharacteristic
205C22⋊Dic61C22⋊C411yescharacteristic
206#11758198—22no—
207#11758198—22no—
208#11758198C22⋊C412yes—
209#11758198C22⋊C412yes—
210C4⋊Dic61—22no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215#11758196—22no—
216#11758196—22no—
217#11758196—22no—
218#11758196—22no—
219#11758196C22⋊C412yes—
220#11758196C22⋊C412yes—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61C2×D412yes—
226C4×Dic61C2×D412yes—
227C2×#92418—22no—
228C2×#92418—22no—
229C2×#92418—82no—
230#11758189—82no—
231C8×D61—82no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—41no—
241C23×C61—42no—
242C23×C61—42no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—42no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—42no—
249C23×C61—81no—
250C23×C61—81no—
251C23×C61—84no—
252C23×C61—84no—
253C23×C61C2×C22⋊C411yescharacteristic
254C23×C61C2×C22⋊C411yescharacteristic
255C23×C61#13112yes—
256C23×C61C23×C411yescharacteristic
257C22×D61—21no—
258C22×D61—21no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61C2×C22⋊C412yes—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—42no—
265C2×C4×C61—42no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C22×D412yes—
274C22⋊D61—24no—
275C22⋊D61—42no—
276C22⋊D61—44no—
277C22⋊D61—82no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—81no—
295C2×Dic61—81no—
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C411yescharacteristic
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C412yes—
301C4×D61—42no—
302C4×D61—42no—
303Dic122—82no—
304C8×C61—42no—
305C8×C61—42no—
306#92418—42no—
307#92418—42no—
308#17422—611nomaximal, Sylow
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—22no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—84no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—84no—
330C22×C61#41312yes—
331C22×C61C22×C22⋊C411yescharacteristic
332C22×C61C2×#13111yescharacteristic
333C22×C61#56811yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—81no—
338C2×D61—81no—
339C4×C61—22no—
340C4×C61—22no—
341C4×C61—41no—
342C4×C61—41no—
343Dic61—21no—
344Dic61—21no—
345Dic61—21no—
346Dic61—21no—
347Dic61—22no—
348Dic61—41no—
349Dic61—41no—
350Dic61—41no—
351Dic61—41no—
352C2×#551—611no—
353#2974—612no—
354#1473—612no—
355#1472—612no—
356#1468—612no—
357#1465—611no—
358#1464—611no—
359#1462D6111yescharacteristic, complemented
360#1459—611no—
361#1458—611no—
362C2×#323—611no—
363C2×C61—21no—
364C2×C61—21no—
365C2×C61—22no—
366C2×C61—41no—
367C2×C61—42no—
368C2×C61—81no—
369C2×C61#288011yescharacteristic
370C2×C61#288311yescharacteristic
371C2×C61C2×#41311yescharacteristic
372D61—42no—
373#551—1222no—
374#551—1222no—
375#551—1222no—
376#551—1222no—
377C2×#126—611no—
378C2×#126—611no—
379C2×#124—611no—
380C2×#123—611no—
381C2×#123—611no—
382C2×#123—611no—
383C2×C22⋊Q8—611no—
384C2×C22⋊Q8—611no—
385C2×#120—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×#117—611no—
389C2×#117—611no—
390C22×C22⋊C4—611no—
391C22×C22⋊C4C2×D6111yescharacteristic
392#436—1222no—
393#435—1222no—
394#435—1222no—
395C8×D4—1222no—
396#432—612no—
397#431—612no—
398#407—612no—
399#407C2×D6112yes—
400C2×C22⋊C8—612no—
401C2×C22⋊C8—612no—
402#324—612no—
403#324—612no—
404#324—612no—
405#324—612no—
406#323—611no—
407#323—611no—
408#323—612no—
409#323C2×D6111yescharacteristic
410#323C2×D6111yescharacteristic
411#323C2×D6112yes—
412C61#1742211yescharacteristic, complemented, Sylow
413C25C4×D6111yescharacteristic
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4C4×D6111yescharacteristic
422C23×C4C22×D6111yescharacteristic
423C2×M16—22no—
424C2×M16—1222no—
425C22×C8—1222no—
426C22×C8—1222no—
427#126—1222no—
428#126—1222no—
429#126—1222no—
430#126—1222no—
431#124—1222no—
432#124—1222no—
433#123—1222no—
434#123—1222no—
435#123—1222no—
436#123—1222no—
437#123—1222no—
438#123—1222no—
439C22⋊Q8—1222no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443#120—1222no—
444#120—1222no—
445C4×D4—612no—
446C4×D4—612no—
447C4×D4—612no—
448C4×D4—612no—
449C4×D4—1222no—
450C4×D4—1222no—
451#117—1222no—
452#117—1222no—
453#117—1221no—
454#117—1221no—
455#117—1221no—
456#117—1221no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—611no—
476C2×C22⋊C4—611no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4C4×D6111yescharacteristic
482C2×C22⋊C4C4×D6111yescharacteristic
483C2×C22⋊C4C22×D6111yescharacteristic
484C2×C22⋊C4C22×D6111yescharacteristic
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C4⋊C8—1222no—
489C4⋊C8—1222no—
490C22⋊C8—22no—
491C22⋊C8—612no—
492C22⋊C8—612no—
493C22⋊C8—1222no—
494C22⋊C8—1222no—
495C22⋊C8—1222no—
496C22⋊C8C22×D6112yes—
497C22⋊C8C22×D6112yes—
498#97—1222no—
499C4×C8—1222no—
500C24—21no—
501C24—21no—
502C24—22no—
503C24—41no—
504C24—42no—
505C24—81no—
506C24—611no—
507C24C2×C4×D6111yescharacteristic
508C24C2×C4×D6111yescharacteristic
509C24C2×C4×D6111yescharacteristic
510C2×Q8—1222no—
511C2×Q8—4881no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—1222no—
515C2×D4—1222no—
516C2×D4—1222no—
517C2×D4—4881no—
518C2×D4—2441no—
519C2×D4—2442no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—81no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1222no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4—2441no—
541C22×C4C2×C4×D6111yescharacteristic
542C22×C4C2×C4×D6111yescharacteristic
543C22×C4C2×C4×D6111yescharacteristic
544C22×C4D4×D6112yes—
545C22×C4D4×D6112yes—
546C22×C4C23×D6111yescharacteristic
547M16—82no—
548M16—4882no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—1222no—
552C2×C8—1222no—
553C2×C8—4882no—
554C2×C8—4882no—
555C4⋊C4—612no—
556C4⋊C4—612no—
557C4⋊C4—1222no—
558C4⋊C4—1222no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—611no—
571C22⋊C4—611no—
572C22⋊C4—611no—
573C22⋊C4—611no—
574C22⋊C4—612no—
575C22⋊C4—612no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1221no—
579C22⋊C4—1221no—
580C22⋊C4—1221no—
581C22⋊C4—1221no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1221no—
585C22⋊C4—1221no—
586C22⋊C4—1221no—
587C22⋊C4—1221no—
588C42—612no—
589C42—612no—
590C42—1221no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23—84no—
614C23—84no—
615C23—612no—
616C23—1221no—
617C23—1221no—
618C23—2441no—
619C23—2441no—
620C23C22⋊C4×D6111yescharacteristic
621C23C22⋊C4×D6111yescharacteristic
622C23#1451978512yes—
623C23C22×C4×D6111yescharacteristic
624Q8—4882no—
625D4—1224no—
626D4—4882no—
627D4—2442no—
628D4—2444no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—612no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—4881no—
655C2×C4—4881no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4C22⋊C4×D6112yes—
665C2×C4C2×D4×D6112yes—
666C8—42no—
667C8—42no—
668C8—2442no—
669C8—2442no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—84no—
688C22—81no—
689C22—81no—
690C22—84no—
691C22—1222no—
692C22—1222no—
693C22—1222no—
694C22—4881no—
695C22—4881no—
696C22#1683974312yes—
697C22C2×C22⋊C4×D6111yescharacteristic
698C22C2×#1451978511yescharacteristic
699C22#1684052811yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—1221no—
705C4—1221no—
706C4—1221no—
707C4—1221no—
708C4—1222no—
709C4—2441no—
710C4—2441no—
711C4—2441no—
712C4—2441no—
713C2—21no—
714C2—21no—
715C2—22no—
716C2—41no—
717C2—42no—
718C2—81no—
719C2—2442no—
720C2#2145426911yescharacteristic
721C2#2145427711yescharacteristic
722C2C2×#1683974311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1462C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#14519746C4
cosocleC22×C4×C61C24
hypercenter#1462D61
hypocenterC61#17422
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1462

Complements

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

NH ≅ G/Ntype
2. #21454855C2semidirect
3. #21444185C2semidirect
4. #21444184C2semidirect
5. #21444164C2semidirect
6. #21444154C2semidirect
7. #21444150C2semidirect
8. #21444134C2semidirect
9. #21444130C2semidirect
10. C2×#16839486C2semidirect
11. C61×#1462C2semidirect
34. #16839816C22semidirect
35. #16839812C22semidirect
36. #16839724C22semidirect
38. C22⋊C8×D61C22semidirect
39. #16839487C22semidirect
40. #16839487C22semidirect
41. #16839487C22semidirect
42. #16839487C22semidirect
359. #1462D61semidirect
412. C61#17422semidirect

Maximal subgroups

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

subgroupindex
C2×#168404382
#214548552
#214441852
#214441842
#214441642
#214441542
#214441502
#214441342
#214441302
C2×#168394862
C61×#14622
#1742261