Finite Group Databasebeta

← #30547080

Subgroups — #30547080

Order 15616.

2678 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840577C211yesmaximal, characteristic, complemented
2C2×#16840573C211yesmaximal, characteristic, complemented
3C4×#14519824C211yesmaximal, characteristic, complemented
4#21455365C213yesmaximal, complemented
5#21455354C213yesmaximal, complemented
6#21455345C213yesmaximal, complemented
7#21455336C213yesmaximal, complemented
8#21455309C213yesmaximal, complemented
9#21455287C213yesmaximal, complemented
10#21455268C213yesmaximal, complemented
11C2×#16839981C213yesmaximal, complemented
12#21454387C211yesmaximal, characteristic, complemented
13#21454352C211yesmaximal, characteristic, complemented
14#21454345C211yesmaximal, characteristic, complemented
15C61×#3500C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17#16840577—28no—
18#16840573—28no—
19C2×#14519808C2213yescomplemented
20C2×#14519807C2213yes—
21C2×#14519807C2213yescomplemented
22C2×#14519803C2213yes—
23C2×#14519797C2213yes—
24C2×#14519797C2213yescomplemented
25C22×#11758202C2213yescomplemented
26C22×#11758200C2213yes—
27C2×#14519784C2211yescharacteristic
28C2×#14519784C2211yescharacteristic
29#16840245C2211yescharacteristic
30#16840242C2213yescomplemented
31#16840241—23no—
32#16840239C2213yescomplemented
33#16840238—21no—
34C4×#11758222C2213yescomplemented
35C4×#11758224—23no—
36C2×C4×Dic122C2213yescomplemented
37C4×Q8×D61—21no—
38#16839981C2216yescomplemented
39#16839981C2213yescomplemented
40#16839981C2216yescomplemented
41#16839981C2216yescomplemented
42#16839981C2213yescomplemented
43#16839981C2216yescomplemented
44#16839974C2216yescomplemented
45#16839974C2211yescharacteristic, complemented
46#16839974C2213yescomplemented
47#16839969C2216yescomplemented
48#16839969C2213yescomplemented
49#16839964C2213yescomplemented
50#16839959C2213yescomplemented
51#16839959C2216yescomplemented
52#16839954C2213yescomplemented
53#16839789C2213yescomplemented
54#16839789C2213yescomplemented
55#16839786C2213yescomplemented
56C2×C4⋊#92418C2213yescomplemented
57#16839771C2213yescomplemented
58#16839767C2213yes—
59#16839763C2213yes—
60#16839763C2213yescomplemented
61#16839758C2213yes—
62#16839758C2213yescomplemented
63C2×#14519701C2213yescomplemented
64C2×#14519698C2213yes—
65C2×2−1+4×C61C2211yescharacteristic
66C2×H(5,𝔽2)×C61C2211yescharacteristic
67C61×#548—21no—
68C61×#548—21no—
69C61×#546—23no—
70C61×#546—23no—
71C61×#536C2213yes—
72C61×#535C2213yes—
73C61×#532C2213yes—
74C2×#124×C61C2213yes—
75C4×#41×C61C2211yescharacteristic
76#14519824—24no—
77#14519824D418yescomplemented
78C2×#11758222C2313yes—
79C2×#11758224—23no—
80C22×Dic122C2313yes—
81C2×Q8×D61—21no—
82#14519808—212no—
83#14519807—212no—
84#14519807—212no—
85#14519803—212no—
86#14519797—212no—
87#14519797—212no—
88C2×#11758202—212no—
89C2×#11758202C2313yes—
90C2×#11758202C2313yes—
91C2×#11758202C2316yes—
92C2×#11758200—212no—
93C2×#11758200C2313yes—
94C2×#11758200C2313yes—
95C2×#11758200C2316yes—
96C2×#11758201C2311yescharacteristic
97C2×#11758201C2313yes—
98C2×#11758199C2311yescharacteristic
99C2×#11758199C2313yes—
100#14519784—24no—
101#14519784—24no—
102C2×#11758194C2313yes—
103C2×#11758194C2313yes—
104C22×#92418C2313yes—
105C22×#92418C2313yes—
106Q8×Dic61—21no—
107C4×Dic122—23no—
108C4×Dic122—23no—
109C4×Dic122C2316yes—
110C4×Dic122C2313yes—
111C4×Dic122C2313yes—
112#14519742—23no—
113#14519742—23no—
114C4×D244C2313yes—
115C4×D244C2311yescharacteristic
116D4×Dic61—23no—
117C4×C22⋊D61—23no—
118C4×C22⋊D61—23no—
119#14519737—26no—
120#14519736C2313yes—
121#14519735—23no—
122#14519734—23no—
123#14519733—26no—
124C2×C4⋊Dic61C2313yes—
125C2×#11758196—23no—
126C4⋊C4×D61—23no—
127C2×C4×Dic61—23no—
128C42×D61—23no—
129C4⋊#92418C2313yes—
130C4⋊#92418C2313yes—
131C4⋊#92418C2316yes—
132C4⋊#92418C2311yescharacteristic
133C4⋊#92418C2313yes—
134#14519701C2313yes—
135#14519701C2313yes—
136#14519701C2311yescharacteristic
137#14519701C2316yes—
138#14519701C2313yes—
139#14519698C2313yes—
140#14519698C2313yes—
141#14519698C2311yescharacteristic
142#14519698C2316yes—
143#14519698C2313yes—
1442−1+4×C61—24no—
1452−1+4×C61—24no—
146H(5,𝔽2)×C61—24no—
147H(5,𝔽2)×C61—24no—
148C2×#41×C61—21no—
149C2×#41×C61—23no—
150C2×#41×C61C2313yes—
151C2×#41×C61C2313yes—
152C2×#41×C61C2311yescharacteristic
153C22×Q8×C61—21no—
154C22×Q8×C61C2313yes—
155C22×D4×C61—23no—
156C22×D4×C61C2313yes—
157C4⋊Q8×C61C2313yes—
158#127×C61C2313yes—
159#124×C61—23no—
160#124×C61—23no—
161#124×C61C2311yescharacteristic
162#124×C61C2313yes—
163#124×C61C2316yes—
164#123×C61—26no—
165C22⋊Q8×C61—23no—
166C22⋊Q8×C61—23no—
167#121×C61—23no—
168#121×C61—23no—
169#121×C61—23no—
170#121×C61—23no—
171#120×C61—26no—
172C4×Q8×C61D411yescharacteristic
173C4×Q8×C61D411yescharacteristic
174C4×D4×C61—23no—
175C4×D4×C61—23no—
176C4×D4×C61D413yes—
177C4×D4×C61D413yes—
178#117×C61C2313yes—
179C2×C22⋊C4×C61—23no—
180C2×C22⋊C4×C61—23no—
181C2×C42×C61C2313yes—
182C24×C61—23no—
183#41×C61—26no—
184#41×C61—26no—
185#41×C61—26no—
186#41×C61—26no—
187#41×C61—44no—
188#41×C61—412no—
189#41×C61C2×D414yes—
190#41×C61#4114yes—
191C2×Q8×C61—23no—
192C2×Q8×C61—26no—
193C2×Q8×C61—26no—
194C2×Q8×C61—44no—
195C2×Q8×C61C2×D411yescharacteristic
196C2×Q8×C61C2413yes—
197C2×Q8×C61C2411yescharacteristic
198C2×D4×C61—23no—
199C2×D4×C61—23no—
200C2×D4×C61—26no—
201C2×D4×C61—23no—
202C2×D4×C61—23no—
203C2×D4×C61—23no—
204C2×D4×C61—26no—
205C2×D4×C61—412no—
206C2×D4×C61C2×D413yes—
207C2×D4×C61C2413yes—
208C2×D4×C61C2411yescharacteristic
209C22×C4×C61—23no—
210C22×C4×C61—23no—
211C22×C4×C61—23no—
212C22×C4×C61C2×D413yes—
213C22×C4×C61C2×D413yes—
214C22×C4×C61C2413yes—
215C2×C22⋊D61—23no—
216C22×Dic61—23no—
217C22×Dic61—23no—
218Q8×D61—28no—
219#11758224—224no—
220#11758222—26no—
221#11758222C2×D4112yes—
222C2×D244C2411yescharacteristic
223C2×C4×D61—23no—
224C2×C4×D61—21no—
225C2×C4×D61—23no—
226C2×Dic122—23no—
227C2×Dic122—26no—
228C2×Dic122C2×D4112yes—
229C2×Dic122C2413yes—
230C4⋊C4×C61—23no—
231C4⋊C4×C61—23no—
232C4⋊C4×C61C2×D413yes—
233C4⋊C4×C61C2×D413yes—
234C22⋊C4×C61—23no—
235C22⋊C4×C61—23no—
236C22⋊C4×C61—26no—
237C22⋊C4×C61—26no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61C2×D416yes—
241C42×C61C2×D413yes—
242C42×C61C2×D413yes—
243C42×C61C2411yescharacteristic
244C42×C61C2413yes—
245C22⋊Dic61—23no—
246#11758202—212no—
247#11758202—26no—
248#11758202—26no—
249#11758201—26no—
250#11758201—22no—
251#11758200—26no—
252#11758200—212no—
253#11758200—26no—
254#11758199—22no—
255#11758199—26no—
256#11758198—21no—
257#11758198—23no—
258C4⋊Dic61—23no—
259C4⋊Dic61C2413yes—
260C4⋊Dic61C2411yescharacteristic
261#11758196—26no—
262#11758196—23no—
263#11758196—23no—
264C4×Dic61—23no—
265C4×Dic61—23no—
266C4×Dic61—23no—
267C4×Dic61—26no—
268#11758194—26no—
269#11758194—26no—
270C2×#92418—26no—
271C2×#92418—26no—
272C2×#92418C2411yescharacteristic
273C2×#92418C2413yes—
274C2×#92418C2411yescharacteristic
275C2×#92418C2413yes—
276C23×C61—23no—
277C23×C61—21no—
278C23×C61—46no—
279C23×C61—83no—
280C23×C61—83no—
281C23×C61C22×D413yes—
282C22×D61—21no—
283Q8×C61—23no—
284Q8×C61—21no—
285Q8×C61—23no—
286Q8×C61—21no—
287Q8×C61—46no—
288Q8×C61#12114yes—
289D4×C61—23no—
290D4×C61—21no—
291D4×C61—23no—
292D4×C61—21no—
293D4×C61—46no—
294D4×C61—46no—
295D4×C61—46no—
296D4×C61—83no—
297D4×C61—83no—
298D4×C61#121112yes—
299C2×C4×C61—23no—
300C2×C4×C61—21no—
301C2×C4×C61—43no—
302C2×C4×C61—43no—
303C2×C4×C61—46no—
304C2×C4×C61—46no—
305C2×C4×C61—46no—
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C22×D413yes—
308C2×C4×C61C22×D413yes—
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C22×D413yes—
311C2×C4×C61C22×D416yes—
312C2×C4×C61C2×#4116yes—
313C2×C4×C61C2511yescharacteristic
314C22⋊D61—212no—
315C2×Dic61—212no—
316C2×Dic61—23no—
317C2×Dic61—21no—
318C2×Dic61—23no—
319C2×Dic61—83no—
320D244—21no—
321D244C22×D412yes—
322C4×D61—212no—
323C4×D61—42no—
324C4×D61—83no—
325Dic122—212no—
326Dic122—23no—
327Dic122C22×D416yes—
328#92418—21no—
329#92418—21no—
330#92418—23no—
331#92418—23no—
332#60433—611nomaximal, Sylow
333C22×C61—23no—
334C22×C61—23no—
335C22×C61—41no—
336C22×C61—43no—
337C22×C61—41no—
338C22×C61—43no—
339C22×C61—41no—
340C22×C61—43no—
341C22×C61—166no—
342C22×C61C2×#12116yes—
343C22×C61C23×D411yescharacteristic
344C2×D61—22no—
345C2×D61—41no—
346C2×D61—41no—
347C4×C61—23no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—23no—
351C4×C61—41no—
352C4×C61—43no—
353C4×C61C2×#12116yes—
354C4×C61C23×D411yescharacteristic
355C4×C61C22×#4111yescharacteristic
356Dic61—26no—
357Dic61—43no—
358Dic61—41no—
359C2×#578—611no—
360C2×#577—611no—
361#3500D6111yescharacteristic, complemented
362C4×2−1+4—611no—
363#3046—613no—
364#3045—613no—
365#3044—613no—
366#3043—613no—
367#3040—613no—
368#3037—613no—
369#3035—613no—
370C2×#464—613no—
371#2906—611no—
372#2898—611no—
373#2897—611no—
374C2×C61—26no—
375C2×C61—81no—
376C2×C61—83no—
377C2×C61C22×#12111yescharacteristic
378C2×C61#358411yescharacteristic
379C2×C61#358611yescharacteristic
380D61—42no—
381C2×2−1+4—611no—
382C2×2−1+4C2×D6111yescharacteristic
383C2×H(5,𝔽2)C2×D6111yescharacteristic
384#578—1228no—
385#577—1228no—
386C2×#137—613no—
387C2×#137—613no—
388C2×#137—613no—
389C2×AGL(1,ℤ/8)—613no—
390C2×#135—613no—
391C2×#135—613no—
392C22×Q16—613no—
393C22×SD16—613no—
394C2×#131—611no—
395C2×#131—611no—
396#548—21no—
397#548—21no—
398#546—23no—
399#546—23no—
400#536C2×D6113yes—
401#535C2×D6113yes—
402#532C2×D6113yes—
403C2×#124C2×D6113yes—
404#520—611no—
405#520—613no—
406#520—1223no—
407#519—613no—
408#519—1221no—
409C4×#41—613no—
410C4×#41—1223no—
411C4×#41C2×D6111yescharacteristic
412C2×C4×Q8—613no—
413C2×C4×Q8—1221no—
414#464—613no—
415#464—616no—
416#464—616no—
417#464—616no—
418#464—613no—
419#464—616no—
420#463—611no—
421#463—613no—
422#463—616no—
423#462—613no—
424#462—616no—
425#461—613no—
426#460—613no—
427#460—616no—
428#459—613no—
429#424—613no—
430#424—613no—
431#423—613no—
432C2×C4⋊C8—613no—
433#419—613no—
434#418—613no—
435#417—613no—
436#417—613no—
437#416—613no—
438#416—613no—
439C2×#103—613no—
440C2×#102—613no—
441C61#6043311yescharacteristic, complemented, Sylow
4422−1+4—24no—
4432−1+4—24no—
4442−1+4—618no—
4452−1+4—1224no—
446H(5,𝔽2)—24no—
447H(5,𝔽2)—24no—
448C2×#41—21no—
449C2×#41—23no—
450C2×#41—613no—
451C2×#41—1223no—
452C2×#41C22×D6113yes—
453C2×#41C22×D6113yes—
454C2×#41C22×D6111yescharacteristic
455C22×Q8—21no—
456C22×Q8—613no—
457C22×Q8—1221no—
458C22×Q8C22×D6113yes—
459C22×D4—23no—
460C22×D4C22×D6113yes—
461#137—12212no—
462#137—12212no—
463#137—12212no—
464AGL(1,ℤ/8)—12212no—
465#135—12212no—
466#135—12212no—
467C2×Q16—613no—
468C2×Q16—616no—
469C2×Q16—613no—
470C2×Q16—12212no—
471C2×SD16—611no—
472C2×SD16—613no—
473C2×SD16—613no—
474C2×SD16—616no—
475C2×SD16—613no—
476C2×SD16—12212no—
477C2×D8—611no—
478C2×D8—613no—
479#131—1224no—
480#131—1224no—
481C2×M16—613no—
482C2×M16—613no—
483C22×C8—613no—
484C22×C8—613no—
485C4⋊Q8C22×D6113yes—
486#127C22×D6113yes—
487#124—23no—
488#124—23no—
489#124C22×D6113yes—
490#124C22×D6116yes—
491#124C22×D6111yescharacteristic
492#123—26no—
493C22⋊Q8—23no—
494C22⋊Q8—23no—
495#121—23no—
496#121—23no—
497#121—23no—
498#121—23no—
499#120—26no—
500C4×Q8—613no—
501C4×Q8—616no—
502C4×Q8—613no—
503C4×Q8—1221no—
504C4×Q8—1223no—
505C4×Q8—1223no—
506C4×Q8—1223no—
507C4×Q8—1223no—
508C4×Q8C22⋊D6111yescharacteristic
509C4×Q8C22⋊D6111yescharacteristic
510C4×D4—23no—
511C4×D4—23no—
512C4×D4—611no—
513C4×D4—613no—
514C4×D4—1223no—
515C4×D4—1223no—
516C4×D4—1223no—
517C4×D4—1226no—
518C4×D4C22⋊D6113yes—
519C4×D4C22⋊D6113yes—
520#117—613no—
521#117—1223no—
522#117—1226no—
523#117—1223no—
524#117C22×D6113yes—
525C2×C4⋊C4—613no—
526C2×C4⋊C4—1223no—
527C2×C4⋊C4—1223no—
528C2×C22⋊C4—23no—
529C2×C22⋊C4—23no—
530C2×C42—1223no—
531C2×C42—1223no—
532C2×C42C22×D6113yes—
533C4⋊C8—611no—
534C4⋊C8—613no—
535C4⋊C8—613no—
536C4⋊C8—613no—
537C4⋊C8—616no—
538#103—613no—
539#103—616no—
540#103—611no—
541#103—613no—
542#103—613no—
543#102—613no—
544#102—616no—
545#102—611no—
546#102—613no—
547#102—613no—
548C24—23no—
549#41—26no—
550#41—26no—
551#41—26no—
552#41—26no—
553#41—44no—
554#41—412no—
555#41—6112no—
556#41—12224no—
557#41—1226no—
558#41D4×D6114yes—
559#41#1175822414yes—
560C2×Q8—23no—
561C2×Q8—26no—
562C2×Q8—26no—
563C2×Q8—44no—
564C2×Q8—6112no—
565C2×Q8—613no—
566C2×Q8—1228no—
567C2×Q8—1223no—
568C2×Q8—1226no—
569C2×Q8C2×C22⋊D6111yescharacteristic
570C2×Q8C23×D6113yes—
571C2×Q8C23×D6111yescharacteristic
572C2×D4—23no—
573C2×D4—23no—
574C2×D4—26no—
575C2×D4—23no—
576C2×D4—23no—
577C2×D4—23no—
578C2×D4—26no—
579C2×D4—412no—
580C2×D4—611no—
581C2×D4—1223no—
582C2×D4C2×C22⋊D6113yes—
583C2×D4C23×D6113yes—
584C2×D4C23×D6111yescharacteristic
585C22×C4—23no—
586C22×C4—23no—
587C22×C4—23no—
588C22×C4—1223no—
589C22×C4—1223no—
590C22×C4—1223no—
591C22×C4—1223no—
592C22×C4—1221no—
593C22×C4C2×C22⋊D6113yes—
594C22×C4C2×C22⋊D6113yes—
595C22×C4C23×D6113yes—
596Q16—1226no—
597Q16—12212no—
598Q16—1226no—
599SD16—1226no—
600SD16—12212no—
601SD16—1226no—
602SD16—1222no—
603SD16—1226no—
604D8—1222no—
605D8—1226no—
606M16—1226no—
607M16—1226no—
608C2×C8—611no—
609C2×C8—613no—
610C2×C8—611no—
611C2×C8—613no—
612C2×C8—1226no—
613C2×C8—1226no—
614C4⋊C4—23no—
615C4⋊C4—23no—
616C4⋊C4—613no—
617C4⋊C4—611no—
618C4⋊C4—1223no—
619C4⋊C4—1226no—
620C4⋊C4—1223no—
621C4⋊C4—1223no—
622C4⋊C4C2×C22⋊D6113yes—
623C4⋊C4C2×C22⋊D6113yes—
624C22⋊C4—23no—
625C22⋊C4—23no—
626C22⋊C4—26no—
627C22⋊C4—26no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—1223no—
631C22⋊C4—1221no—
632C22⋊C4—1223no—
633C22⋊C4C2×C22⋊D6116yes—
634C42—1223no—
635C42—1223no—
636C42—1223no—
637C42—1226no—
638C42C2×C22⋊D6113yes—
639C42C2×C22⋊D6113yes—
640C42C23×D6111yescharacteristic
641C42C23×D6113yes—
642C23—23no—
643C23—21no—
644C23—46no—
645C23—83no—
646C23—83no—
647C23—1221no—
648C23C22×C22⋊D6113yes—
649Q8—23no—
650Q8—21no—
651Q8—23no—
652Q8—21no—
653Q8—46no—
654Q8—616no—
655Q8—12212no—
656Q8—1223no—
657Q8#1451974814yes—
658D4—23no—
659D4—21no—
660D4—23no—
661D4—21no—
662D4—46no—
663D4—46no—
664D4—46no—
665D4—83no—
666D4—83no—
667D4—612no—
668D4—12212no—
669D4—1221no—
670D4#14519748112yes—
671C2×C4—23no—
672C2×C4—21no—
673C2×C4—43no—
674C2×C4—43no—
675C2×C4—46no—
676C2×C4—46no—
677C2×C4—46no—
678C2×C4—12212no—
679C2×C4—1223no—
680C2×C4—12212no—
681C2×C4—1221no—
682C2×C4—1223no—
683C2×C4—4883no—
684C2×C4—4883no—
685C2×C4—2442no—
686C2×C4C2×D4×D6116yes—
687C2×C4C22×C22⋊D6111yescharacteristic
688C2×C4C22×C22⋊D6113yes—
689C2×C4C22×C22⋊D6113yes—
690C2×C4C22×C22⋊D6111yescharacteristic
691C2×C4C22×C22⋊D6113yes—
692C2×C4C2×#1175822416yes—
693C2×C4C24×D6111yescharacteristic
694C8—1221no—
695C8—1221no—
696C8—1223no—
697C8—1223no—
698C22—23no—
699C22—23no—
700C22—41no—
701C22—43no—
702C22—41no—
703C22—43no—
704C22—41no—
705C22—43no—
706C22—166no—
707C22—1222no—
708C22—2441no—
709C22—2441no—
710C22C2×#1451974816yes—
711C22C23×C22⋊D6111yescharacteristic
712C4—21no—
713C4—23no—
714C4—21no—
715C4—23no—
716C4—41no—
717C4—43no—
718C4—1226no—
719C4—2443no—
720C4—2441no—
721C4C2×#1451974816yes—
722C4C22×D4×D6111yescharacteristic
723C4C22×#1175822411yescharacteristic
724C2—26no—
725C2—83no—
726C2—81no—
727C2—2442no—
728C2C22×#1451974811yescharacteristic
729C2#2146059011yescharacteristic
730C2#2146060511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3500C2
socleC22×C61C23×D4
hypercenter#3500D61
hypocenterC61#60433
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×#16840577C2semidirect
2. C2×#16840573C2semidirect
3. C4×#14519824C2semidirect
4. #21455365C2semidirect
5. #21455354C2semidirect
6. #21455345C2semidirect
7. #21455336C2semidirect
8. #21455309C2semidirect
9. #21455287C2semidirect
10. #21455268C2semidirect
11. C2×#16839981C2semidirect
12. #21454387C2semidirect
13. #21454352C2semidirect
14. #21454345C2semidirect
15. C61×#3500C2semidirect
19. C2×#14519808C22semidirect
21. C2×#14519807C22semidirect
24. C2×#14519797C22semidirect
25. C22×#11758202C22semidirect
30. #16840242C22semidirect
32. #16840239C22semidirect
34. C4×#11758222C22semidirect
36. C2×C4×Dic122C22semidirect
38. #16839981C22semidirect
39. #16839981C22semidirect
40. #16839981C22semidirect
41. #16839981C22semidirect
42. #16839981C22semidirect
43. #16839981C22semidirect
44. #16839974C22semidirect
45. #16839974C22semidirect
46. #16839974C22semidirect
47. #16839969C22semidirect
48. #16839969C22semidirect
49. #16839964C22semidirect
50. #16839959C22semidirect
51. #16839959C22semidirect
52. #16839954C22semidirect
53. #16839789C22semidirect
54. #16839789C22semidirect
55. #16839786C22semidirect
56. C2×C4⋊#92418C22semidirect
57. #16839771C22semidirect
60. #16839763C22semidirect
62. #16839758C22semidirect
63. C2×#14519701C22semidirect
77. #14519824D4semidirect
361. #3500D61semidirect
441. C61#60433semidirect

Maximal subgroups

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

subgroupindex
C2×#168405772
C2×#168405732
C4×#145198242
#214553652
#214553542
#214553452
#214553362
#214553092
#214552872
#214552682
C2×#168399812
#214543872
#214543522
#214543452
C61×#35002
#6043361