Finite Group Databasebeta

← #29887016

Subgroups — #29887016

Order 15616.

2450 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×#16840387C211yesmaximal, characteristic, complemented
2C22×#14519762C211yesmaximal, characteristic
3#21454107C211yesmaximal, characteristic, complemented
4#21454103C211yesmaximal, characteristic, complemented
5#21452247C214yesmaximal, complemented
6#21452245C214yesmaximal, complemented
7#21452163C214yesmaximal, complemented
8#21452160C214yesmaximal, complemented
9#21451632C211yesmaximal, characteristic, complemented
10#21450976C212yesmaximal, complemented
11#21450295C212yesmaximal, complemented
12#21450098C212yesmaximal, complemented
13#21449148C212yesmaximal
14#21448416C211yesmaximal, characteristic, complemented
15C61×#2627C211yesmaximal, characteristic, complemented
16C23×D244C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18#16840387—28no—
19C2×#14519762—28no—
20C2×#14519762C2214yes—
21C2×#14519762C2214yes—
22C2×#14519762C2214yes—
23C2×#14519757C2212yescomplemented
24C2×#14519757C2212yescomplemented
25C2×#14519756C2211yescharacteristic
26C2×#14519755C2212yescomplemented
27C2×#14519755C2212yescomplemented
28C2×#14519754C2212yes—
29C2×#14519753C2212yescomplemented
30C2×#14519753C2212yescomplemented
31C22×#11758196C2211yescharacteristic
32C22×#11758198C2211yescharacteristic
33C22×#11758198C2211yescharacteristic
34C22×#11758198C2211yescharacteristic
35C2×C22⋊C4×D61C2212yes—
36#16839701C2212yescomplemented
37#16839696C2214yescomplemented
38#16839695C2214yescomplemented
39#16839695C2214yescomplemented
40#16839691C2214yescomplemented
41#16839691C2214yescomplemented
42#16839689C2214yescomplemented
43#16839682C2212yescomplemented
44#16839680C2214yes—
45#16839679C2214yes—
46#16839675C2214yescomplemented
47#16839666C2214yescomplemented
48#16839654C2214yescomplemented
49#16839654C2214yescomplemented
50#16839652C2214yescomplemented
51#16839651C2214yescomplemented
52#16839640C2214yes—
53#16839637C2212yes—
54#16839636C2214yescomplemented
55#16839636C2214yescomplemented
56#16839635C2212yes—
57#16839634C2212yes—
58#16839633C2214yescomplemented
59#16839631C2214yescomplemented
60#16839625C2212yes—
61#16839624C2214yescomplemented
62#16839622C2211yescharacteristic
63#16839619C2212yescomplemented
64#16839619C2212yescomplemented
65#16839617C2212yes—
66#16839617C2212yes—
67#16839617C2212yes—
68C22⋊C4×Dic61C2212yes—
69C2×C22⋊Q8×C61C2211yescharacteristic
70C22×C4⋊C4×C61C2211yescharacteristic
71C61×#400C2212yescomplemented
72C61×#398C2214yescomplemented
73C61×#395C2212yescomplemented
74C61×#385C2212yes—
75C61×#381C2212yes—
76C61×#380C2211yescharacteristic
77C24×D61C2311yescharacteristic
78C24×D61C2311yescharacteristic
79C22×Dic122C2311yescharacteristic
80C22×Dic122C2312yes—
81C22×D244—24no—
82C22×D244—44no—
83C22×D244C2314yes—
84C23×Dic61C2311yescharacteristic
85C23×Dic61C2311yescharacteristic
86C22×C4×D61—24no—
87C22×C4×D61—44no—
88C22×C4×D61C2312yes—
89C22×C4×D61C2312yes—
90C22×C4×D61C2312yes—
91C22×C4×D61C2312yes—
92#14519762—216no—
93#14519762—216no—
94#14519762—48no—
95#14519757—28no—
96#14519757—44no—
97#14519756—24no—
98#14519755—28no—
99#14519755—28no—
100#14519754—28no—
101#14519753—28no—
102#14519753—44no—
103C2×C4⋊Dic61C2312yes—
104C2×C4⋊Dic61C2311yescharacteristic
105C2×C4⋊Dic61C2314yes—
106C2×C4⋊Dic61C2312yes—
107C2×#11758196—24no—
108C2×#11758196C2312yes—
109C2×#11758196C2312yes—
110C2×#11758196C2314yes—
111C2×#11758196C2312yes—
112C2×#11758196C2314yes—
113C2×#11758196C2314yes—
114C2×C22⋊Dic61C2312yes—
115C2×C22⋊Dic61C2312yes—
116C2×#11758198—24no—
117C2×#11758198—24no—
118C2×#11758198D418yes—
119C2×#11758198C2312yes—
120C2×#11758198C2314yes—
121C2×#11758198C2314yes—
122C2×#11758198C2312yes—
123C2×#11758198C2314yes—
124C2×#11758198C2314yes—
125C2×#11758198C2314yes—
126C2×#11758198C2314yes—
127C2×#11758198C2314yes—
128C2×#11758198C2314yes—
129C2×#11758198C2312yes—
130C2×#11758198C2312yes—
131C22⋊C4×D61—28no—
132C2×C4×Dic61C2314yes—
133#14519684C2314yes—
134#14519684C2312yes—
135#14519684C2314yes—
136#14519684C2314yes—
137#14519684C2314yes—
138#14519684C2314yes—
139#14519684C2314yes—
140C22×Q8×C61C2311yescharacteristic
141C23×C4×C61C2311yescharacteristic
142C23×C4×C61C2311yescharacteristic
143C23×C4×C61C2311yescharacteristic
144C22⋊Q8×C61—24no—
145C2×C4⋊C4×C61—24no—
146C2×C4⋊C4×C61C2312yes—
147C2×C4⋊C4×C61C2312yes—
148C2×C4⋊C4×C61C2311yescharacteristic
149C2×C4⋊C4×C61C2312yes—
150C2×C4⋊C4×C61C2314yes—
151C2×C4⋊C4×C61C2312yes—
152C2×C22⋊C4×C61C2312yes—
153C2×C22⋊C4×C61C2312yes—
154#95×C61C2314yes—
155#95×C61C2314yes—
156#95×C61C2314yes—
157#95×C61C2312yes—
158C24×C61C2411yescharacteristic
159C23×D61—22no—
160C23×D61—22no—
161C23×D61—22no—
162C23×D61—24no—
163C23×D61—22no—
164C23×D61—22no—
165C23×D61—42no—
166C23×D61—42no—
167C23×D61—42no—
168C23×D61C2×D414yes—
169C23×D61C2412yes—
170C23×D61C2412yes—
171C2×Q8×C61—22no—
172C2×Q8×C61—42no—
173C22×C4×C61—22no—
174C22×C4×C61—22no—
175C22×C4×C61—22no—
176C22×C4×C61—22no—
177C22×C4×C61—42no—
178C22×C4×C61—42no—
179C22×C4×C61C2×D414yes—
180C22×C4×C61C2412yes—
181C22×C4×C61C2412yes—
182C22×C4×C61C2412yes—
183C22×C4×C61C2414yes—
184C22×C4×C61C2412yes—
185C22×C4×C61C2411yescharacteristic
186C22×C4×C61C2411yescharacteristic
187C22×Dic61—22no—
188C22×Dic61—42no—
189C22×Dic61—42no—
190C22×Dic61C2×D414yes—
191C22×Dic61C2412yes—
192C22×Dic61C2412yes—
193C22×Dic61C2412yes—
194C22×Dic61C2414yes—
195C22×Dic61C2412yes—
196C2×D244—28no—
197C2×D244—28no—
198C2×D244—44no—
199C2×D244—416no—
200C2×C4×D61—24no—
201C2×C4×D61—24no—
202C2×C4×D61—24no—
203C2×C4×D61—24no—
204C2×C4×D61—24no—
205C2×C4×D61—24no—
206C2×C4×D61—42no—
207C2×C4×D61—42no—
208C2×C4×D61—416no—
209C2×C4×D61—44no—
210C2×C4×D61—44no—
211C2×Dic122—22no—
212C2×Dic122—24no—
213C2×Dic122—44no—
214C2×Dic122—42no—
215C4⋊C4×C61—24no—
216C4⋊C4×C61—24no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—24no—
219C4⋊C4×C61—42no—
220C4⋊C4×C61—44no—
221C22⋊C4×C61—24no—
222C22⋊C4×C61—24no—
223C22⋊Dic61—24no—
224C22⋊Dic61—24no—
225#11758198—24no—
226#11758198—24no—
227#11758198—28no—
228#11758198—28no—
229#11758198—28no—
230#11758198—28no—
231#11758198—44no—
232#11758198—44no—
233#11758198—44no—
234#11758198—44no—
235#11758198C2×D418yes—
236#11758198C2×D418yes—
237C4⋊Dic61—22no—
238C4⋊Dic61—24no—
239C4⋊Dic61—42no—
240C4⋊Dic61—44no—
241#11758196—24no—
242#11758196—28no—
243#11758196—24no—
244#11758196—24no—
245#11758196—44no—
246#11758196—44no—
247C4×Dic61—44no—
248C23×C61—22no—
249C23×C61—22no—
250C23×C61C22×D412yes—
251C23×C612−1+412yes—
252C23×C612−1+412yes—
253C23×C61C2511yescharacteristic
254C22×D61—28no—
255C22×D61—22no—
256C22×D61—24no—
257C22×D61—22no—
258C22×D61—22no—
259C22×D61—22no—
260C22×D61—22no—
261C22×D61—22no—
262C22×D61—22no—
263C22×D61—22no—
264C22×D61—24no—
265C22×D61—28no—
266C22×D61—44no—
267C22×D61—44no—
268C22×D61—48no—
269C22×D61—48no—
270C22×D61—44no—
271C22×D61—44no—
272C22×D61—84no—
273C22×D61—84no—
274C22×D61C22×D414yes—
275C22×D61H(5,𝔽2)14yes—
276Q8×C61—82no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—24no—
284C2×C4×C61—24no—
285C2×C4×C61—24no—
286C2×C4×C61—24no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—24no—
290C2×C4×C61—24no—
291C2×C4×C61—44no—
292C2×C4×C61—44no—
293C2×C4×C61—44no—
294C2×C4×C61C22×D412yes—
295C2×C4×C61C22×D412yes—
296C2×Dic61—24no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—24no—
301C2×Dic61—22no—
302C2×Dic61—24no—
303C2×Dic61—22no—
304C2×Dic61—24no—
305C2×Dic61—24no—
306C2×Dic61—24no—
307C2×Dic61—44no—
308C2×Dic61—44no—
309C2×Dic61C22×D414yes—
310D244—416no—
311C4×D61—48no—
312C4×D61—48no—
313C4×D61—84no—
314C4×D61—84no—
315Dic122—84no—
316Dic122—82no—
317#36720—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—24no—
321C22×C61—24no—
322C22×C61#53614yes—
323C22×C61C23×D411yescharacteristic
324C22×C61C2×H(5,𝔽2)12yes—
325C22×C61C2×2−1+411yescharacteristic
326C22×C61C2×2−1+411yescharacteristic
327C22×C61#58512yes—
328C2×D61—24no—
329C2×D61—24no—
330C2×D61—24no—
331C2×D61—24no—
332C2×D61—24no—
333C2×D61—24no—
334C2×D61—416no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—44no—
340C2×D61—44no—
341C2×D61—88no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61—42no—
345C4×C61—42no—
346C4×C61—42no—
347C4×C61—42no—
348C4×C61—44no—
349Dic61—24no—
350Dic61—42no—
351Dic61—42no—
352Dic61—42no—
353Dic61—44no—
354C2×#543—611no—
355C22×#123—611no—
356#2848—611no—
357#2848—611no—
358#2687—614no—
359#2687—614no—
360#2680—614no—
361#2680—614no—
362#2627—611no—
363#2627D6111yescharacteristic, complemented
364#2561—612no—
365#2502—612no—
366#2483—612no—
367#2405—612no—
368#2312—611no—
369C2×C61—24no—
370C2×C61C2×#53611yescharacteristic
371C2×C61#348411yescharacteristic
372C2×C61#348511yescharacteristic
373C2×C61#353512yes—
374C2×C61#353512yes—
375D61—44no—
376D61—44no—
377C23×D4—611no—
378C24×C4—611no—
379#543—1228no—
380C2×#123—614no—
381C2×#123—614no—
382C2×#123—614no—
383C2×#123—1228no—
384C2×C22⋊Q8—612no—
385C2×C22⋊Q8—611no—
386C2×C22⋊Q8—612no—
387C2×C22⋊Q8—612no—
388C2×C22⋊Q8—612no—
389C2×C22⋊Q8—612no—
390C2×C22⋊Q8—612no—
391C2×C22⋊Q8—612no—
392C2×C22⋊Q8C2×D6111yescharacteristic
393C22×C4⋊C4—611no—
394C22×C4⋊C4C2×D6111yescharacteristic
395C22×C22⋊C4—611no—
396C22×C22⋊C4—611no—
397C22×C22⋊C4—611no—
398C22×C22⋊C4—612no—
399#400—612no—
400#400C2×D6112yescomplemented
401#398—614no—
402#398—614no—
403#398—614no—
404#398C2×D6114yescomplemented
405#397—614no—
406#397—614no—
407#397—614no—
408#395—612no—
409#395C2×D6112yescomplemented
410#394—614no—
411#394—614no—
412#393—614no—
413#391—614no—
414#388—614no—
415#388—614no—
416#388—614no—
417#388—614no—
418#386—614no—
419#385—612no—
420#385—614no—
421#385—612no—
422#385—612no—
423#385—614no—
424#385—614no—
425#385C2×D6112yes—
426#384—614no—
427#381—612no—
428#381—614no—
429#381C2×D6112yes—
430#380—611no—
431#380—612no—
432#380—612no—
433#380C2×D6111yescharacteristic
434#379—612no—
435#379—612no—
436#379—612no—
437C4×C22⋊C4—612no—
438C61#3672011yescharacteristic, complemented, Sylow
439C25—611no—
440C25—611no—
441C22×Q8—611no—
442C22×Q8—612no—
443C22×Q8C22×D6111yescharacteristic
444C22×D4—614no—
445C22×D4—1224no—
446C22×D4—2444no—
447C23×C4—611no—
448C23×C4—611no—
449C23×C4—612no—
450C23×C4—612no—
451C23×C4—612no—
452C23×C4—612no—
453C23×C4—1224no—
454C23×C4—2444no—
455C23×C4C22×D6111yescharacteristic
456C23×C4C22×D6111yescharacteristic
457C23×C4C22×D6111yescharacteristic
458#123—12216no—
459#123—12216no—
460#123—2448no—
461C22⋊Q8—24no—
462C22⋊Q8—1228no—
463C22⋊Q8—1228no—
464C22⋊Q8—1228no—
465C22⋊Q8—1228no—
466C22⋊Q8—1228no—
467C22⋊Q8—1224no—
468C22⋊Q8—2444no—
469C22⋊Q8—2444no—
470C2×C4⋊C4—24no—
471C2×C4⋊C4—614no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—612no—
474C2×C4⋊C4—612no—
475C2×C4⋊C4—612no—
476C2×C4⋊C4—612no—
477C2×C4⋊C4—612no—
478C2×C4⋊C4—614no—
479C2×C4⋊C4—614no—
480C2×C4⋊C4—614no—
481C2×C4⋊C4—1224no—
482C2×C4⋊C4C22×D6112yes—
483C2×C4⋊C4C22×D6112yes—
484C2×C4⋊C4C22×D6111yescharacteristic
485C2×C4⋊C4C22×D6112yes—
486C2×C4⋊C4C22×D6112yes—
487C2×C4⋊C4C22×D6114yes—
488C2×C22⋊C4—618no—
489C2×C22⋊C4—612no—
490C2×C22⋊C4—612no—
491C2×C22⋊C4—612no—
492C2×C22⋊C4—612no—
493C2×C22⋊C4—612no—
494C2×C22⋊C4—612no—
495C2×C22⋊C4—614no—
496C2×C22⋊C4—614no—
497C2×C22⋊C4—614no—
498C2×C22⋊C4—614no—
499C2×C22⋊C4—614no—
500C2×C22⋊C4—614no—
501C2×C22⋊C4—614no—
502C2×C22⋊C4—614no—
503C2×C22⋊C4—1228no—
504C2×C22⋊C4—1224no—
505C2×C22⋊C4—1224no—
506C2×C22⋊C4C22×D6112yes—
507C2×C22⋊C4C22×D6112yes—
508C2×C42—614no—
509#95—614no—
510#95—614no—
511#95—614no—
512#95—612no—
513#95—614no—
514#95—614no—
515#95—614no—
516#95C22×D6112yes—
517#95C22×D6114yes—
518#95C22×D6114yes—
519#95C22×D6114yes—
520C24—612no—
521C24—612no—
522C24—614no—
523C24—1224no—
524C24—1222no—
525C24—1222no—
526C24—1222no—
527C24—1222no—
528C24—1222no—
529C24—2442no—
530C24—2442no—
531C24—2442no—
532C24C23×D6111yescharacteristic
533C2×Q8—22no—
534C2×Q8—42no—
535C2×Q8—1224no—
536C2×Q8—1222no—
537C2×Q8—2442no—
538C2×Q8—2444no—
539C2×D4—1228no—
540C2×D4—1228no—
541C2×D4—2444no—
542C2×D4—24416no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—612no—
550C22×C4—614no—
551C22×C4—614no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—1224no—
556C22×C4—1224no—
557C22×C4—1224no—
558C22×C4—1224no—
559C22×C4—1222no—
560C22×C4—1224no—
561C22×C4—1224no—
562C22×C4—2444no—
563C22×C4—2444no—
564C22×C4—2442no—
565C22×C4—2442no—
566C22×C4—24416no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4D4×D6114yes—
570C22×C4C23×D6112yes—
571C22×C4C23×D6114yes—
572C22×C4C23×D6112yes—
573C22×C4C23×D6112yes—
574C22×C4C23×D6112yes—
575C22×C4C23×D6111yescharacteristic
576C22×C4C23×D6111yescharacteristic
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—22no—
580C4⋊C4—24no—
581C4⋊C4—42no—
582C4⋊C4—44no—
583C4⋊C4—1228no—
584C4⋊C4—1224no—
585C4⋊C4—1224no—
586C4⋊C4—1224no—
587C4⋊C4—1224no—
588C4⋊C4—1222no—
589C4⋊C4—2444no—
590C4⋊C4—2444no—
591C4⋊C4—2442no—
592C4⋊C4—2444no—
593C22⋊C4—24no—
594C22⋊C4—24no—
595C22⋊C4—618no—
596C22⋊C4—618no—
597C22⋊C4—1228no—
598C22⋊C4—1224no—
599C22⋊C4—1224no—
600C22⋊C4—1228no—
601C22⋊C4—1228no—
602C22⋊C4—1228no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—2444no—
606C22⋊C4—2444no—
607C22⋊C4—2444no—
608C22⋊C4—2444no—
609C42—2444no—
610C23—22no—
611C23—22no—
612C23—614no—
613C23—614no—
614C23—1228no—
615C23—1228no—
616C23—1222no—
617C23—1224no—
618C23—1222no—
619C23—1222no—
620C23—1222no—
621C23—1222no—
622C23—1222no—
623C23—1222no—
624C23—1222no—
625C23—1224no—
626C23—4884no—
627C23—4884no—
628C23—2444no—
629C23—2444no—
630C23—2448no—
631C23—2448no—
632C23—2444no—
633C23—2444no—
634C23C2×D4×D6112yes—
635C23#1451982412yes—
636C23#1451982512yes—
637C23C24×D6111yescharacteristic
638Q8—82no—
639Q8—4882no—
640Q8—4884no—
641D4—24416no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—614no—
660C2×C4—1224no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1224no—
665C2×C4—1224no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1224no—
669C2×C4—1224no—
670C2×C4—1224no—
671C2×C4—4884no—
672C2×C4—4884no—
673C2×C4—2448no—
674C2×C4—2448no—
675C2×C4—2444no—
676C2×C4—2444no—
677C2×C4C2×D4×D6112yes—
678C2×C4C2×D4×D6112yes—
679C22—22no—
680C22—24no—
681C22—24no—
682C22—22no—
683C22—1224no—
684C22—1224no—
685C22—1224no—
686C22—1224no—
687C22—1224no—
688C22—1224no—
689C22—4888no—
690C22—24416no—
691C22—2442no—
692C22—2444no—
693C22—2442no—
694C22—2444no—
695C22—2442no—
696C22—2442no—
697C22#1684033514yes—
698C22C22×D4×D6111yescharacteristic
699C22H(5,𝔽2)×D6112yes—
700C22C2×#1451982411yescharacteristic
701C22C2×#1451982511yescharacteristic
702C22#1684059912yes—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—44no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—1224no—
711C4—2442no—
712C4—2444no—
713C4—2442no—
714C4—2442no—
715C2—24no—
716C2—2444no—
717C2—2444no—
718C2C2×#1684033511yescharacteristic
719C2#2145945111yescharacteristic
720C2#2145946211yescharacteristic
721C2#2146002512yes—
722C2#2146002912yes—
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2627C2
prime radicalC23×D244C22
hypercenter#2627D61
hypocenterC61#36720
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2627

Complements

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

NH ≅ G/Ntype
1. C2×#16840387C2semidirect
3. #21454107C2semidirect
4. #21454103C2semidirect
5. #21452247C2semidirect
6. #21452245C2semidirect
7. #21452163C2semidirect
8. #21452160C2semidirect
9. #21451632C2semidirect
10. #21450976C2semidirect
11. #21450295C2semidirect
12. #21450098C2semidirect
14. #21448416C2semidirect
15. C61×#2627C2semidirect
23. C2×#14519757C22semidirect
24. C2×#14519757C22semidirect
26. C2×#14519755C22semidirect
27. C2×#14519755C22semidirect
29. C2×#14519753C22semidirect
30. C2×#14519753C22semidirect
36. #16839701C22semidirect
37. #16839696C22semidirect
38. #16839695C22semidirect
39. #16839695C22semidirect
40. #16839691C22semidirect
41. #16839691C22semidirect
42. #16839689C22semidirect
43. #16839682C22semidirect
46. #16839675C22semidirect
47. #16839666C22semidirect
48. #16839654C22semidirect
49. #16839654C22semidirect
50. #16839652C22semidirect
51. #16839651C22semidirect
54. #16839636C22semidirect
55. #16839636C22semidirect
58. #16839633C22semidirect
59. #16839631C22semidirect
61. #16839624C22semidirect
63. #16839619C22semidirect
64. #16839619C22semidirect
71. C61×#400C22semidirect
72. C61×#398C22semidirect
73. C61×#395C22semidirect
363. #2627D61semidirect
400. #400C2×D61semidirect
404. #398C2×D61semidirect
409. #395C2×D61semidirect
438. C61#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#168403872
C22×#145197622
#214541072
#214541032
#214522472
#214522452
#214521632
#214521602
#214516322
#214509762
#214502952
#214500982
#214491482
#214484162
C61×#26272
#3672061