Finite Group Databasebeta

← #30547365

Subgroups — #30547365

Order 15616.

2802 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840565C211yesmaximal, characteristic, complemented
2C2×#16840529C211yesmaximal, characteristic, complemented
3#21459488C211yesmaximal, characteristic, complemented
4#21455501C213yesmaximal, complemented
5#21455495C213yesmaximal, complemented
6#21455478C213yesmaximal, complemented
7#21455464C213yesmaximal, complemented
8#21455440C213yesmaximal, complemented
9#21455434C213yesmaximal, complemented
10#21455425C213yesmaximal, complemented
11C2×#16840013C213yesmaximal, complemented
12#21454412C211yesmaximal, characteristic, complemented
13#21454345C211yesmaximal, characteristic, complemented
14#21454342C211yesmaximal, characteristic, complemented
15C61×#3488C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17#16840565—28no—
18C2×#14519803C2213yescomplemented
19C2×#14519802C2213yescomplemented
20C2×#14519797C2213yescomplemented
21C22×#11758199C2213yescomplemented
22#16840529—28no—
23C2×#14519784C2211yescharacteristic
24C2×#14519784C2211yescharacteristic
25C2×#14519784C2213yescomplemented
26C2×#14519784C2213yescomplemented
27C22×#11758194C2213yescomplemented
28C22×#11758194C2213yescomplemented
29#16840431—21no—
30#16840423—21no—
31#16840400—23no—
32D4×C22⋊D61—23no—
33#16840340C2213yescomplemented
34#16840326C2213yescomplemented
35#16840273C2213yescomplemented
36C2×#14519751C2213yescomplemented
37#16840245C2211yescharacteristic
38#16840018C2211yescharacteristic, complemented
39#16840018C2213yescomplemented
40#16840013C2213yescomplemented
41#16840013C2216yescomplemented
42#16840013C2216yescomplemented
43#16840013C2216yescomplemented
44#16840013C2213yescomplemented
45#16840010C2213yescomplemented
46#16840010C2213yescomplemented
47#16840006C2213yescomplemented
48#16840006C2213yescomplemented
49#16839996C2216yescomplemented
50#16839996C2216yescomplemented
51#16839993C2216yescomplemented
52#16839989C2216yescomplemented
53#16839805C2213yescomplemented
54#16839802C2213yescomplemented
55#16839798C2213yescomplemented
56C2×#14519708C2213yescomplemented
57#16839767C2213yescomplemented
58#16839766C2213yescomplemented
59#16839763C2213yescomplemented
60#16839761C2213yescomplemented
61#16839758C2213yescomplemented
62#16839756C2213yescomplemented
63C2×#14519698C2213yescomplemented
64C2×#14519697C2213yescomplemented
65C2×H(5,𝔽2)×C61C2211yescharacteristic
66C22×#41×C61C2211yescharacteristic
67C61×#550—21no—
68C61×#548—21no—
69C61×#546—23no—
70D42×C61—23no—
71C61×#537C2213yescomplemented
72C61×#535C2213yescomplemented
73C61×#525C2213yescomplemented
74C2×#121×C61C2213yescomplemented
75C61×#520C2211yescharacteristic
76#14519823—24no—
77#14519823—24no—
78C2×#11758226—21no—
79C2×#11758222C2313yes—
80C22×D244C2313yes—
81C22×C22⋊D61—23no—
82C2×D4×D61—23no—
83#14519803—212no—
84#14519802—212no—
85#14519797—212no—
86C2×#11758202C2311yescharacteristic
87C2×#11758200C2313yes—
88C2×#11758201C2313yes—
89C2×#11758199—212no—
90C2×#11758199C2316yes—
91C2×#11758199C2313yes—
92#14519784—24no—
93#14519784—212no—
94#14519784—212no—
95#14519784D418yescomplemented
96C2×#11758194—212no—
97C2×#11758194—212no—
98C2×#11758194C2313yes—
99C2×#11758194C2313yes—
100C2×#11758194C2311yescharacteristic
101C2×#11758194C2313yes—
102C2×#11758194C2313yes—
103C2×#11758194C2313yes—
104C22×#92418C2316yes—
105C22×#92418C2313yes—
106C22×#92418C2313yes—
107#14519773—23no—
108#14519766—23no—
109#14519760—23no—
110#14519756C2313yes—
111#14519756C2311yescharacteristic
112#14519753—23no—
113#14519751—23no—
114#14519751—23no—
115#14519751C2316yes—
116#14519751C2313yes—
117#14519751C2313yes—
118#14519749—26no—
119#14519748—23no—
120#14519746—23no—
121#14519745—26no—
122Q8×Dic61—21no—
123D4×Dic61—23no—
124C4×C22⋊D61—23no—
125C4×C22⋊D61—23no—
126#14519736C2313yes—
127C2×C4⋊Dic61C2313yes—
128C2×#11758198—23no—
129#14519710C2313yes—
130#14519710C2313yes—
131#14519708C2316yes—
132#14519708C2313yes—
133#14519708C2311yescharacteristic
134#14519701C2313yes—
135#14519701C2311yescharacteristic
136#14519700C2313yes—
137#14519700C2311yescharacteristic
138#14519698C2316yes—
139#14519698C2313yes—
140#14519698C2313yes—
141#14519697C2316yes—
142#14519697C2313yes—
143#14519697C2313yes—
144H(5,𝔽2)×C61—24no—
145H(5,𝔽2)×C61—24no—
146C2×#41×C61—24no—
147C2×#41×C61—24no—
148C2×#41×C61—21no—
149C2×#41×C61D413yes—
150C2×#41×C61D411yescharacteristic
151C2×#41×C61C2313yes—
152C2×#41×C61C2313yes—
153C2×#41×C61C2311yescharacteristic
154C22×Q8×C61D411yescharacteristic
155C22×D4×C61—23no—
156C22×D4×C61—23no—
157C22×D4×C61D413yes—
158C22×D4×C61C2313yes—
159C23×C4×C61C2313yes—
160#127×C61—23no—
161#124×C61—23no—
162#123×C61—23no—
163C22⋊Q8×C61—23no—
164C22⋊Q8×C61C2313yes—
165C22⋊Q8×C61C2311yescharacteristic
166#121×C61—26no—
167#121×C61—23no—
168#121×C61—23no—
169#121×C61—23no—
170#121×C61C2313yes—
171#121×C61C2316yes—
172#121×C61C2313yes—
173#120×C61—23no—
174#120×C61—26no—
175C4×Q8×C61—21no—
176C4×D4×C61—23no—
177C4×D4×C61—23no—
178C4×D4×C61—23no—
179#117×C61C2313yes—
180C2×C4⋊C4×C61C2313yes—
181C2×C22⋊C4×C61—23no—
182C24×C61—23no—
183C24×C61C2×D413yes—
184C23×D61—23no—
185#41×C61—24no—
186#41×C61—212no—
187#41×C61—26no—
188#41×C61—26no—
189#41×C61—26no—
190#41×C61—26no—
191#41×C61—44no—
192#41×C61C2×D414yes—
193#41×C61#4114yes—
194C2×Q8×C61—24no—
195C2×Q8×C61C2×D413yes—
196C2×Q8×C61C2×D411yescharacteristic
197C2×Q8×C61C2411yescharacteristic
198C2×D4×C61—212no—
199C2×D4×C61—23no—
200C2×D4×C61—23no—
201C2×D4×C61—23no—
202C2×D4×C61—26no—
203C2×D4×C61—26no—
204C2×D4×C61—23no—
205C2×D4×C61—26no—
206C2×D4×C61—412no—
207C2×D4×C61—86no—
208C2×D4×C61C2×D416yes—
209C2×D4×C61C2×D413yes—
210C2×D4×C61C2×D413yes—
211C2×D4×C61C2413yes—
212C22×C4×C61—26no—
213C22×C4×C61—26no—
214C22×C4×C61—23no—
215C22×C4×C61—23no—
216C22×C4×C61C2×D413yes—
217C22×C4×C61C2×D413yes—
218C22×C4×C61C2×D413yes—
219C22×C4×C61C2411yescharacteristic
220C22×C4×C61C2413yes—
221C22×C4×C61C2413yes—
222C2×C22⋊D61—23no—
223C2×C22⋊D61—23no—
224C2×C22⋊D61—26no—
225C2×C22⋊D61—23no—
226C2×C22⋊D61—86no—
227C22×Dic61—23no—
228#11758226—44no—
229D4×D61—412no—
230#11758222—26no—
231#11758222—26no—
232C2×D244—26no—
233C2×D244—26no—
234C2×D244—23no—
235C2×D244C2413yes—
236C2×C4×D61—23no—
237C2×Dic122C2411yescharacteristic
238C4⋊C4×C61—23no—
239C4⋊C4×C61—21no—
240C4⋊C4×C61—23no—
241C4⋊C4×C61C2413yes—
242C4⋊C4×C61C2411yescharacteristic
243C22⋊C4×C61—23no—
244C22⋊C4×C61—21no—
245C22⋊C4×C61—23no—
246C22⋊C4×C61—23no—
247C22⋊C4×C61—26no—
248C22⋊C4×C61—23no—
249C42×C61—23no—
250C22⋊Dic61—23no—
251C22⋊Dic61—21no—
252C22⋊Dic61—23no—
253#11758202—22no—
254#11758201—26no—
255#11758200—26no—
256#11758199—26no—
257#11758199—212no—
258#11758198—23no—
259#11758198—26no—
260#11758198—23no—
261C4⋊Dic61—23no—
262C4⋊Dic61C2413yes—
263C4⋊Dic61C2411yescharacteristic
264#11758196—21no—
265#11758196—23no—
266C4×Dic61—23no—
267#11758194—26no—
268#11758194—26no—
269#11758194—22no—
270#11758194—26no—
271#11758194—26no—
272#11758194C2×D4112yescomplemented
273C2×#92418—26no—
274C2×#92418—212no—
275C2×#92418C2×D4112yescomplemented
276C2×#92418C2413yes—
277C2×#92418C2411yescharacteristic
278C2×#92418C2411yescharacteristic
279C2×#92418C2413yes—
280C23×C61—26no—
281C23×C61—23no—
282C23×C61—43no—
283C23×C61—43no—
284C23×C61—46no—
285C23×C61—83no—
286C23×C61—83no—
287C23×C61C22×D411yescharacteristic
288C23×C61C22×D413yes—
289C23×C61C22×D413yes—
290C22×D61—23no—
291C22×D61—46no—
292C22×D61—83no—
293C22×D61—83no—
294Q8×C61—26no—
295Q8×C61—21no—
296Q8×C61—21no—
297Q8×C61#12114yes—
298D4×C61—212no—
299D4×C61—26no—
300D4×C61—23no—
301D4×C61—23no—
302D4×C61—46no—
303D4×C61—46no—
304D4×C61—46no—
305D4×C61—83no—
306D4×C61—86no—
307D4×C61#121112yes—
308C2×C4×C61—26no—
309C2×C4×C61—26no—
310C2×C4×C61—26no—
311C2×C4×C61—23no—
312C2×C4×C61—21no—
313C2×C4×C61—21no—
314C2×C4×C61—23no—
315C2×C4×C61—21no—
316C2×C4×C61—23no—
317C2×C4×C61—21no—
318C2×C4×C61—46no—
319C2×C4×C61—83no—
320C2×C4×C61C22×D411yescharacteristic
321C2×C4×C61C22×D413yes—
322C2×C4×C61C22×D413yes—
323C2×C4×C61C22×D416yes—
324C2×C4×C61C2×#4116yes—
325C2×C4×C61C2511yescharacteristic
326C22⋊D61—46no—
327C22⋊D61—46no—
328C22⋊D61—83no—
329C22⋊D61—86no—
330C2×Dic61—21no—
331C2×Dic61—23no—
332C2×Dic61—21no—
333C2×Dic61—83no—
334D244—23no—
335D244—23no—
336D244—46no—
337C4×D61—46no—
338Dic122—21no—
339Dic122—21no—
340#92418—21no—
341#92418—23no—
342#92418C22×D416yes—
343#92418C22×D412yes—
344#60461—611nomaximal, Sylow
345C22×C61—23no—
346C22×C61—23no—
347C22×C61—21no—
348C22×C61—23no—
349C22×C61—23no—
350C22×C61—21no—
351C22×C61—21no—
352C22×C61—23no—
353C22×C61—43no—
354C22×C61—43no—
355C22×C61—43no—
356C22×C61—86no—
357C22×C61—166no—
358C22×C61C2×#12116yes—
359C22×C61C23×D411yescharacteristic
360C2×D61—43no—
361C2×D61—43no—
362C2×D61—43no—
363C2×D61—166no—
364C4×C61—21no—
365C4×C61—23no—
366C4×C61—43no—
367C4×C61—41no—
368C4×C61—41no—
369C4×C61C2×#12116yes—
370C4×C61C23×D411yescharacteristic
371C4×C61C22×#4111yescharacteristic
372Dic61—43no—
373Dic61—41no—
374Dic61—41no—
375C2×#576—611no—
376C2×#568—611no—
377#3488—611no—
378#3488D6111yescharacteristic, complemented
379#3062—613no—
380#3062—613no—
381#3060—613no—
382#3058—613no—
383#3055—613no—
384#3055—613no—
385#3054—613no—
386C2×#469—613no—
387#2912—611no—
388#2897—611no—
389#2897—611no—
390C2×C61—26no—
391C2×C61—43no—
392C2×C61—41no—
393C2×C61—83no—
394C2×C61C22×#12111yescharacteristic
395C2×C61#358511yescharacteristic
396C2×C61#358511yescharacteristic
397D61—83no—
398C2×H(5,𝔽2)—611no—
399C2×H(5,𝔽2)C2×D6111yescharacteristic
400C22×#41C2×D6111yescharacteristic
401#576—1228no—
402C2×AGL(1,ℤ/8)—613no—
403C2×AGL(1,ℤ/8)—613no—
404C2×#135—613no—
405C22×D8—613no—
406#568—1228no—
407C2×#131—611no—
408C2×#131—611no—
409C2×#131—613no—
410C2×#131—613no—
411C22×M16—613no—
412C22×M16—613no—
413#550—21no—
414#550—1221no—
415#548—21no—
416#548—1221no—
417#546—23no—
418#546—1223no—
419D42—23no—
420D42—1223no—
421#537—613no—
422#537C2×D6113yescomplemented
423#535—613no—
424#535C2×D6113yescomplemented
425#525—613no—
426#525C2×D6113yescomplemented
427C2×#121—613no—
428C2×#121C2×D6113yescomplemented
429#520—611no—
430#520C2×D6111yescharacteristic
431#470—611no—
432#470—613no—
433#469—613no—
434#469—616no—
435#469—616no—
436#469—616no—
437#469—613no—
438#468—613no—
439#468—613no—
440#468—613no—
441#468—613no—
442#466—616no—
443#466—616no—
444#465—616no—
445#465—616no—
446#428—613no—
447#428—613no—
448#427—613no—
449C2×#106—613no—
450#418—613no—
451#418—613no—
452#417—613no—
453#417—613no—
454#416—613no—
455#416—613no—
456C2×#102—613no—
457C2×#102—613no—
458C61#6046111yescharacteristic, complemented, Sylow
459H(5,𝔽2)—24no—
460H(5,𝔽2)—24no—
461H(5,𝔽2)—1224no—
462H(5,𝔽2)—1224no—
463C2×#41—24no—
464C2×#41—24no—
465C2×#41—21no—
466C2×#41—613no—
467C2×#41—1221no—
468C2×#41C22⋊D6113yes—
469C2×#41C22⋊D6111yescharacteristic
470C2×#41C22×D6113yes—
471C2×#41C22×D6113yes—
472C2×#41C22×D6111yescharacteristic
473C22×Q8C22⋊D6111yescharacteristic
474C22×D4—23no—
475C22×D4—23no—
476C22×D4—613no—
477C22×D4—1223no—
478C22×D4—1223no—
479C22×D4C22⋊D6113yes—
480C22×D4C22×D6113yes—
481C23×C4C22×D6113yes—
482AGL(1,ℤ/8)—12212no—
483AGL(1,ℤ/8)—12212no—
484#135—12212no—
485C2×Q16—611no—
486C2×SD16—613no—
487C2×SD16—613no—
488C2×D8—613no—
489C2×D8—616no—
490C2×D8—12212no—
491#131—618no—
492#131—12212no—
493#131—12212no—
494#131—1224no—
495C2×M16—613no—
496C2×M16—613no—
497C2×M16—611no—
498C2×M16—613no—
499C2×M16—613no—
500C2×M16—613no—
501C2×M16—12212no—
502C2×M16—12212no—
503C22×C8—613no—
504C22×C8—613no—
505C22×C8—616no—
506#127—23no—
507#127—1223no—
508#124—23no—
509#124—1223no—
510#123—23no—
511#123—1223no—
512C22⋊Q8—23no—
513C22⋊Q8—611no—
514C22⋊Q8—613no—
515C22⋊Q8—1223no—
516C22⋊Q8C22×D6111yescharacteristic
517C22⋊Q8C22×D6113yes—
518#121—26no—
519#121—23no—
520#121—23no—
521#121—23no—
522#121—613no—
523#121—616no—
524#121—613no—
525#121—1226no—
526#121—1223no—
527#121—1223no—
528#121—1223no—
529#121C22×D6113yes—
530#121C22×D6116yes—
531#121C22×D6113yes—
532#120—23no—
533#120—26no—
534#120—1223no—
535#120—1226no—
536C4×Q8—21no—
537C4×Q8—1221no—
538C4×D4—23no—
539C4×D4—23no—
540C4×D4—23no—
541C4×D4—1223no—
542C4×D4—1223no—
543C4×D4—1223no—
544#117—613no—
545#117C22×D6113yes—
546C2×C4⋊C4—613no—
547C2×C4⋊C4C22×D6113yes—
548C2×C22⋊C4—23no—
549C2×C22⋊C4—1223no—
550#107—613no—
551#107—613no—
552#106—613no—
553#106—616no—
554#106—611no—
555#103—611no—
556#103—613no—
557#103—611no—
558#103—613no—
559#102—613no—
560#102—616no—
561#102—613no—
562#102—613no—
563#102—616no—
564#102—613no—
565C24—23no—
566C24—1223no—
567C24C2×C22⋊D6113yes—
568#41—24no—
569#41—212no—
570#41—26no—
571#41—26no—
572#41—26no—
573#41—26no—
574#41—44no—
575#41—1226no—
576#41—1226no—
577#41—2444no—
578#41D4×D6114yes—
579#41#1175822414yes—
580C2×Q8—24no—
581C2×Q8—611no—
582C2×Q8C2×C22⋊D6113yes—
583C2×Q8C2×C22⋊D6111yescharacteristic
584C2×Q8C23×D6111yescharacteristic
585C2×D4—212no—
586C2×D4—23no—
587C2×D4—23no—
588C2×D4—23no—
589C2×D4—26no—
590C2×D4—26no—
591C2×D4—23no—
592C2×D4—26no—
593C2×D4—412no—
594C2×D4—86no—
595C2×D4—613no—
596C2×D4—1223no—
597C2×D4—1226no—
598C2×D4—1223no—
599C2×D4—1223no—
600C2×D4—1226no—
601C2×D4—1223no—
602C2×D4—1226no—
603C2×D4—4886no—
604C2×D4—24412no—
605C2×D4C2×C22⋊D6116yes—
606C2×D4C2×C22⋊D6113yes—
607C2×D4C2×C22⋊D6113yes—
608C2×D4C23×D6113yes—
609C22×C4—26no—
610C22×C4—26no—
611C22×C4—23no—
612C22×C4—23no—
613C22×C4—1223no—
614C22×C4—1223no—
615C22×C4C2×C22⋊D6113yes—
616C22×C4C2×C22⋊D6113yes—
617C22×C4C2×C22⋊D6113yes—
618C22×C4C23×D6113yes—
619C22×C4C23×D6111yescharacteristic
620C22×C4C23×D6113yes—
621Q16—1222no—
622SD16—1226no—
623SD16—1226no—
624D8—1226no—
625D8—12212no—
626M16—6112no—
627M16—1222no—
628M16—1226no—
629M16—1226no—
630M16—1226no—
631M16—1226no—
632C2×C8—6112no—
633C2×C8—611no—
634C2×C8—613no—
635C2×C8—611no—
636C2×C8—613no—
637C2×C8—12212no—
638C2×C8—1226no—
639C4⋊C4—23no—
640C4⋊C4—21no—
641C4⋊C4—23no—
642C4⋊C4—613no—
643C4⋊C4—611no—
644C4⋊C4—1223no—
645C4⋊C4—1221no—
646C4⋊C4—1223no—
647C4⋊C4C23×D6113yes—
648C4⋊C4C23×D6111yescharacteristic
649C22⋊C4—23no—
650C22⋊C4—21no—
651C22⋊C4—23no—
652C22⋊C4—23no—
653C22⋊C4—26no—
654C22⋊C4—23no—
655C22⋊C4—1223no—
656C22⋊C4—1221no—
657C22⋊C4—1223no—
658C22⋊C4—1223no—
659C22⋊C4—1226no—
660C22⋊C4—1223no—
661C42—23no—
662C42—1223no—
663C23—26no—
664C23—23no—
665C23—43no—
666C23—43no—
667C23—46no—
668C23—83no—
669C23—83no—
670C23—1223no—
671C23—4883no—
672C23—4883no—
673C23—2446no—
674C23C22×C22⋊D6111yescharacteristic
675C23C22×C22⋊D6113yes—
676C23C22×C22⋊D6113yes—
677Q8—26no—
678Q8—21no—
679Q8—21no—
680Q8—1221no—
681Q8—1221no—
682Q8#1451974914yes—
683D4—212no—
684D4—26no—
685D4—23no—
686D4—23no—
687D4—46no—
688D4—46no—
689D4—46no—
690D4—83no—
691D4—86no—
692D4—1223no—
693D4—1223no—
694D4—4883no—
695D4—4886no—
696D4—2446no—
697D4—2446no—
698D4—2446no—
699D4#14519749112yes—
700C2×C4—26no—
701C2×C4—26no—
702C2×C4—26no—
703C2×C4—23no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—23no—
707C2×C4—21no—
708C2×C4—23no—
709C2×C4—21no—
710C2×C4—46no—
711C2×C4—83no—
712C2×C4—1221no—
713C2×C4—1223no—
714C2×C4—1221no—
715C2×C4—4883no—
716C2×C4—2446no—
717C2×C4C2×D4×D6116yes—
718C2×C4C22×C22⋊D6111yescharacteristic
719C2×C4C22×C22⋊D6113yes—
720C2×C4C22×C22⋊D6113yes—
721C2×C4C2×#1175822416yes—
722C2×C4C24×D6111yescharacteristic
723C8—612no—
724C8—616no—
725C8—1223no—
726C8—1221no—
727C22—23no—
728C22—23no—
729C22—21no—
730C22—23no—
731C22—23no—
732C22—21no—
733C22—21no—
734C22—23no—
735C22—43no—
736C22—43no—
737C22—43no—
738C22—86no—
739C22—166no—
740C22—9766no—
741C22—2443no—
742C22—2443no—
743C22—2443no—
744C22C2×#1451974916yes—
745C22C23×C22⋊D6111yescharacteristic
746C4—21no—
747C4—23no—
748C4—41no—
749C4—41no—
750C4—43no—
751C4—2441no—
752C4—2443no—
753C4—2441no—
754C4C2×#1451974916yes—
755C4C22×D4×D6111yescharacteristic
756C4C22×#1175822411yescharacteristic
757C2—26no—
758C2—41no—
759C2—43no—
760C2—83no—
761C2—4883no—
762C2C22×#1451974911yescharacteristic
763C2#2146059811yescharacteristic
764C2#2146059911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3488C2
socleC22×C61C23×D4
hypercenter#3488D61
hypocenterC61#60461
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×#41 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. C2×#16840565C2semidirect
2. C2×#16840529C2semidirect
3. #21459488C2semidirect
4. #21455501C2semidirect
5. #21455495C2semidirect
6. #21455478C2semidirect
7. #21455464C2semidirect
8. #21455440C2semidirect
9. #21455434C2semidirect
10. #21455425C2semidirect
11. C2×#16840013C2semidirect
12. #21454412C2semidirect
13. #21454345C2semidirect
14. #21454342C2semidirect
15. C61×#3488C2semidirect
18. C2×#14519803C22semidirect
19. C2×#14519802C22semidirect
20. C2×#14519797C22semidirect
21. C22×#11758199C22semidirect
25. C2×#14519784C22semidirect
26. C2×#14519784C22semidirect
27. C22×#11758194C22semidirect
28. C22×#11758194C22semidirect
33. #16840340C22semidirect
34. #16840326C22semidirect
35. #16840273C22semidirect
36. C2×#14519751C22semidirect
38. #16840018C22semidirect
39. #16840018C22semidirect
40. #16840013C22semidirect
41. #16840013C22semidirect
42. #16840013C22semidirect
43. #16840013C22semidirect
44. #16840013C22semidirect
45. #16840010C22semidirect
46. #16840010C22semidirect
47. #16840006C22semidirect
48. #16840006C22semidirect
49. #16839996C22semidirect
50. #16839996C22semidirect
51. #16839993C22semidirect
52. #16839989C22semidirect
53. #16839805C22semidirect
54. #16839802C22semidirect
55. #16839798C22semidirect
56. C2×#14519708C22semidirect
57. #16839767C22semidirect
58. #16839766C22semidirect
59. #16839763C22semidirect
60. #16839761C22semidirect
61. #16839758C22semidirect
62. #16839756C22semidirect
63. C2×#14519698C22semidirect
64. C2×#14519697C22semidirect
71. C61×#537C22semidirect
72. C61×#535C22semidirect
73. C61×#525C22semidirect
74. C2×#121×C61C22semidirect
95. #14519784D4semidirect
272. #11758194C2×D4semidirect
275. C2×#92418C2×D4semidirect
378. #3488D61semidirect
422. #537C2×D61semidirect
424. #535C2×D61semidirect
426. #525C2×D61semidirect
428. C2×#121C2×D61semidirect
458. C61#60461semidirect

Maximal subgroups

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

subgroupindex
C2×#168405652
C2×#168405292
#214594882
#214555012
#214554952
#214554782
#214554642
#214554402
#214554342
#214554252
C2×#168400132
#214544122
#214543452
#214543422
C61×#34882
#6046161