Finite Group Databasebeta

← #29716087

Subgroups — #29716087

Order 15616.

1150 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840318C211yesmaximal, characteristic, complemented
2C2×#16840050C211yesmaximal, characteristic, complemented
3C2×#16840040C211yesmaximal, characteristic, complemented
4#21448335C211yesmaximal, characteristic
5#21447158C211yesmaximal, characteristic, complemented
6#21447154C211yesmaximal, characteristic, complemented
7#21446965C211yesmaximal, characteristic, complemented
8#21446769C211yesmaximal, characteristic, complemented
9#21446765C211yesmaximal, characteristic, complemented
10#21446138C211yesmaximal, characteristic
11#21446138C211yesmaximal, characteristic
12#21446021C211yesmaximal, characteristic, complemented
13#21446019C211yesmaximal, characteristic, complemented
14#21445798C211yesmaximal, characteristic, complemented
15C61×#2025C211yesmaximal, characteristic, complemented
16#16840318—24no—
17#16840318—24no—
18C2×#14519776C2211yescharacteristic
19C2×#14519776C2211yescharacteristic
20C2×#14519769C2211yescharacteristic
21C2×#14519755—21no—
22C2×#14519755—21no—
23C2×#14519748C2211yescharacteristic
24C2×#14519742—21no—
25C2×#14519742—21no—
26C2×D4×Dic61C2211yescharacteristic
27C2×#14519737—21no—
28C2×#14519735C2211yescharacteristic
29C2×#14519735C2211yescharacteristic
30C2×C42×D61C2211yescharacteristic
31#16840050—24no—
32#16840040—24no—
33C2×#14519711C2211yescharacteristic
34C2×#14519710C2211yescharacteristic
35C2×#14519709C2211yescharacteristic
36C2×#14519708C2211yescharacteristic
37C2×#14519706C2211yescharacteristic
38C2×#14519706C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40C2×#14519698C2211yescharacteristic
41C2×#14519689C2211yescharacteristic
42C2×#14519689C2211yescharacteristic
43#16839660C2211yescharacteristic
44#16839656—21no—
45#16839638—21no—
46#16839619C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48C22⋊C4×Dic61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55#16839517C2211yescharacteristic
56C2×#125×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C22×C22⋊D61—21no—
66C23×Dic61—21no—
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C22×C4×D61C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519776—22no—
73#14519776—22no—
74#14519776D414yescomplemented
75#14519776D414yescomplemented
76#14519769—22no—
77#14519769—22no—
78#14519755—28no—
79#14519755—28no—
80#14519748—22no—
81#14519748Q814yescomplemented
82#14519742—28no—
83#14519742—28no—
84D4×Dic61—22no—
85D4×Dic61—22no—
86#14519737—44no—
87#14519735—22no—
88#14519735—22no—
89#14519735—22no—
90#14519735—22no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111C42×D61—22no—
112C42×D61—22no—
113#14519711—22no—
114#14519710—22no—
115#14519709—22no—
116#14519708—22no—
117#14519706—22no—
118#14519706—22no—
119#14519698—22no—
120#14519698—22no—
121#14519689—22no—
122#14519689—22no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126C22×D4×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129#125×C61—22no—
130#125×C61—22no—
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138C2×C42×C61C2311yescharacteristic
139#102×C61—22no—
140#102×C61—22no—
141C24×C61—21no—
142C23×D61C2×D411yescharacteristic
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61C2×Q812yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—42no—
157C2×C22⋊D61—42no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—42no—
163C22×Dic61—42no—
164C22×Dic61—42no—
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167C22×Dic61C2×D411yescharacteristic
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—41no—
177C2×C4×D61—41no—
178C2×C4×D61C2×Q812yes—
179C2×C4×D61#4112yes—
180C2×Dic122—24no—
181C2×Dic122—24no—
182C2×Dic122—42no—
183C2×Dic122—42no—
184C2×Dic122—42no—
185C2×Dic122—42no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C4⋊C4×C61—24no—
193C4⋊C4×C61—24no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61C2×D412yes—
199C4⋊C4×C61C2×D412yes—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—42no—
202C42×C61—21no—
203C42×C61—21no—
204C22⋊Dic61—24no—
205C22⋊Dic61—42no—
206#11758198—24no—
207#11758198—24no—
208#11758198—42no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61C2×D412yes—
215C4⋊Dic61C2×D412yes—
216C4⋊Dic61C2×Q812yes—
217#11758196—24no—
218#11758196—24no—
219#11758196—24no—
220#11758196—24no—
221#11758196—42no—
222C4×Dic61—24no—
223C4×Dic61—24no—
224C4×Dic61—22no—
225C4×Dic61—22no—
226C4×Dic61—42no—
227C4×Dic61C2×D412yes—
228C4×Dic61C2×D412yes—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C23×C61—22no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61C22×D411yescharacteristic
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61C22⋊Q812yes—
250D4×C61—22no—
251D4×C61—22no—
252D4×C61—41no—
253D4×C61—41no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C22×Q811yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C612−1+411yescharacteristic
274C2×C4×C612−1+411yescharacteristic
275C22⋊D61—48no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—84no—
293C2×Dic61#12012yes—
294C2×Dic61#12012yes—
295C2×Dic61C22⋊Q812yes—
296C2×Dic61#13512yes—
297C2×Dic61AGL(1,ℤ/8)12yes—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—44no—
303C4×D61—44no—
304Dic122—48no—
305Dic122—48no—
306C8×C61—41no—
307C8×C61—41no—
308#92418—41no—
309#92418—41no—
310#24300—611nomaximal, Sylow
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61C2×#12011yescharacteristic
319C22×C61C2×C22⋊Q811yescharacteristic
320C22×C61#53611yescharacteristic
321C22×C61C2×#13511yescharacteristic
322C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
323C22×C61#57511yescharacteristic
324C22×C61#57511yescharacteristic
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C4×C61—42no—
333C4×C61—41no—
334C4×C61—42no—
335C4×C61—41no—
336C4×C61—81no—
337C4×C61#54811yescharacteristic
338C4×C61#54811yescharacteristic
339C4×C61D4×Q811yescharacteristic
340C4×C61D4×Q811yescharacteristic
341Dic61—22no—
342Dic61—22no—
343Dic61—42no—
344Dic61—42no—
345Dic61—42no—
346Dic61—81no—
347Dic61#44914yes—
348C2×#533—611no—
349C2×#476—611no—
350C2×#474—611no—
351C4×#121—611no—
352#2059—611no—
353#2059—611no—
354#2025—611no—
355#2025D6111yescharacteristic, complemented
356#1988—611no—
357#1987—611no—
358#1875—611no—
359#1875—611no—
360#1854—611no—
361#1854—611no—
362#1797—611no—
363C2×C61—82no—
364C2×C61#240911yescharacteristic
365C2×C61C2×#44911yescharacteristic
366C2×C61#300511yescharacteristic
367C2×C61#307611yescharacteristic
368C2×C61#307711yescharacteristic
369C2×C61#323311yescharacteristic
370C2×C61#323511yescharacteristic
371D61—42no—
372#533—1224no—
373#533—1224no—
374C2×C4⋊Q8—611no—
375C2×C4⋊Q8—611no—
376C2×#125—611no—
377C2×#125C2×D6111yescharacteristic
378C2×C22⋊Q8—1221no—
379C2×C22⋊Q8—1221no—
380C2×#121—611no—
381C2×C4×Q8—1221no—
382C2×C4×Q8—1221no—
383C2×C4×D4—611no—
384C2×C4×D4—1221no—
385C2×#117—611no—
386C2×#117—611no—
387C22×C42—611no—
388#476—1224no—
389#474—1224no—
390C2×#107—611no—
391C2×#107—611no—
392C2×#106—611no—
393C2×#106—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102C2×D6111yescharacteristic
399C2×#102C2×D6111yescharacteristic
400C2×C22⋊C8—611no—
401C2×C22⋊C8—611no—
402#390C2×D6111yescharacteristic
403#389—611no—
404#388—1221no—
405#386—1221no—
406#380—611no—
407C4×C4⋊C4—611no—
408C4×C22⋊C4—1221no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417#336—611no—
418#336C2×D6111yescharacteristic
419C61#2430011yescharacteristic, complemented, Sylow
420C22×Q8—1221no—
421C22×Q8—1221no—
422C22×D4—1221no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4—1221no—
428C22×C8—611no—
429C22×C8—611no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C4⋊Q8—614no—
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435C4⋊Q8—1222no—
436#125—22no—
437#125—22no—
438#125—1222no—
439#125—1222no—
440C22⋊Q8—1228no—
441C22⋊Q8—1228no—
442#121—614no—
443#121—1222no—
444C4×Q8—1228no—
445C4×Q8—1228no—
446C4×D4—1222no—
447C4×D4—1222no—
448C4×D4—2444no—
449#117—1222no—
450#117—1222no—
451#117—1222no—
452#117—1222no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—1222no—
478C2×C42—1222no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42C22×D6111yescharacteristic
483#107—1222no—
484#107—1222no—
485#106—1222no—
486#106—1222no—
487C4⋊C8—1222no—
488C4⋊C8—1222no—
489#102—22no—
490#102—22no—
491#102—1222no—
492#102—1222no—
493C22⋊C8—1222no—
494C22⋊C8—1222no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498C24—21no—
499C24—611no—
500C2×Q8—1224no—
501C2×Q8—1224no—
502C2×Q8—2442no—
503C2×Q8—2442no—
504C2×Q8—2442no—
505C2×Q8—2442no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—1224no—
512C2×D4—2442no—
513C2×D4—2442no—
514C2×D4Q8×D6112yes—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—2441no—
536C22×C4—2441no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4D4×D6111yescharacteristic
541C22×C4D4×D6111yescharacteristic
542C22×C4C23×D6111yescharacteristic
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1224no—
567C4⋊C4—1224no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—2442no—
574C4⋊C4D4×D6112yes—
575C4⋊C4D4×D6112yes—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C42—21no—
584C42—21no—
585C42—612no—
586C42—612no—
587C42—1222no—
588C42—1222no—
589C42—1224no—
590C42—1224no—
591C42—2442no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—612no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23C2×D4×D6111yescharacteristic
607Q8—2448no—
608Q8—2448no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—2448no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—612no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—4884no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4C2×D4×D6111yescharacteristic
658C2×C4C2×D4×D6111yescharacteristic
659C2×C4C2×Q8×D6111yescharacteristic
660C2×C4#41×D6111yescharacteristic
661C2×C4#1451982411yescharacteristic
662C2×C4#1451982411yescharacteristic
663C8—41no—
664C8—41no—
665C8—2441no—
666C8—2441no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—1222no—
675C22—1222no—
676C22—1222no—
677C22—2441no—
678C22—2441no—
679C22—2441no—
680C22—2441no—
681C22#120×D6111yescharacteristic
682C22C22⋊Q8×D6111yescharacteristic
683C22#1684033211yescharacteristic
684C22#135×D6111yescharacteristic
685C22AGL(1,ℤ/8)×D6111yescharacteristic
686C22#1684055811yescharacteristic
687C22#1684055911yescharacteristic
688C4—41no—
689C4—42no—
690C4—41no—
691C4—42no—
692C4—81no—
693C4—614no—
694C4—1222no—
695C4—1222no—
696C4—4881no—
697C4—2442no—
698C4—2442no—
699C4—2442no—
700C4#1684042011yescharacteristic
701C4#1684042011yescharacteristic
702C4#1684042511yescharacteristic
703C4#1684042511yescharacteristic
704C2—82no—
705C2—2442no—
706C2#2144917711yescharacteristic
707C2#449×D6111yescharacteristic
708C2#2145505711yescharacteristic
709C2#2145560411yescharacteristic
710C2#2145561411yescharacteristic
711C2#2145699311yescharacteristic
712C2#2145701211yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2025C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenter#2025D61
hypocenterC61#24300
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2025

Complements

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

NH ≅ G/Ntype
1. C2×#16840318C2semidirect
2. C2×#16840050C2semidirect
3. C2×#16840040C2semidirect
5. #21447158C2semidirect
6. #21447154C2semidirect
7. #21446965C2semidirect
8. #21446769C2semidirect
9. #21446765C2semidirect
12. #21446021C2semidirect
13. #21446019C2semidirect
14. #21445798C2semidirect
15. C61×#2025C2semidirect
74. #14519776D4semidirect
75. #14519776D4semidirect
81. #14519748Q8semidirect
355. #2025D61semidirect
419. C61#24300semidirect

Maximal subgroups

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

subgroupindex
C2×#168403182
C2×#168400502
C2×#168400402
#214483352
#214471582
#214471542
#214469652
#214467692
#214467652
#214461382
#214460212
#214460192
#214457982
C61×#20252
#2430061