Finite Group Databasebeta

← #30547043

Subgroups — #30547043

Order 15616.

2762 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840570C211yesmaximal, characteristic, complemented
2C2×#16840565C211yesmaximal, characteristic, complemented
3C4×#14519823C211yesmaximal, characteristic, complemented
4#21455365C213yesmaximal, complemented
5#21455354C213yesmaximal, complemented
6#21455327C213yesmaximal, complemented
7#21455318C213yesmaximal, complemented
8#21455309C213yesmaximal, complemented
9#21455279C213yesmaximal, complemented
10#21455268C213yesmaximal, complemented
11C2×#16839974C213yesmaximal, complemented
12#21454387C211yesmaximal, characteristic, complemented
13#21454352C211yesmaximal, characteristic, complemented
14#21454345C211yesmaximal, characteristic, complemented
15C61×#3500C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17#16840570—28no—
18#16840565—28no—
19C2×#14519808C2213yescomplemented
20C2×#14519803C2213yes—
21C2×#14519802C2213yes—
22C2×#14519802C2213yescomplemented
23C2×#14519797C2213yes—
24C2×#14519797C2213yescomplemented
25C22×#11758201C2213yescomplemented
26C22×#11758199C2213yes—
27C2×#14519784C2211yescharacteristic
28C2×#14519784C2211yescharacteristic
29#16840245C2211yescharacteristic
30#16840244—21no—
31#16840242C2213yescomplemented
32#16840236C2213yescomplemented
33#16840234—23no—
34C4×#11758226—21no—
35C4×#11758222C2213yescomplemented
36C2×C4×D244C2213yescomplemented
37C4×D4×D61—23no—
38#16839981C2216yescomplemented
39#16839981C2211yescharacteristic, complemented
40#16839981C2213yescomplemented
41#16839974C2216yescomplemented
42#16839974C2213yescomplemented
43#16839974C2216yescomplemented
44#16839974C2216yescomplemented
45#16839974C2213yescomplemented
46#16839974C2216yescomplemented
47#16839969C2213yescomplemented
48#16839964C2216yescomplemented
49#16839964C2213yescomplemented
50#16839959C2213yescomplemented
51#16839954C2213yescomplemented
52#16839954C2216yescomplemented
53#16839789C2213yescomplemented
54#16839789C2213yescomplemented
55#16839786C2213yescomplemented
56C2×C4⋊#92418C2213yescomplemented
57#16839771C2213yescomplemented
58#16839767C2213yescomplemented
59#16839763C2213yescomplemented
60#16839763C2213yescomplemented
61#16839758C2213yescomplemented
62#16839758C2213yescomplemented
63C2×#14519701C2213yescomplemented
64C2×#14519698C2213yescomplemented
65C2×2−1+4×C61C2211yescharacteristic
66C2×H(5,𝔽2)×C61C2211yescharacteristic
67C61×#548—21no—
68C61×#548—21no—
69C61×#546—23no—
70C61×#546—23no—
71C61×#536C2213yescomplemented
72C61×#535C2213yescomplemented
73C61×#532C2213yescomplemented
74C2×#124×C61C2213yescomplemented
75C4×#41×C61C2211yescharacteristic
76#14519823—24no—
77#14519823D418yescomplemented
78C2×#11758226—21no—
79C2×#11758222C2313yes—
80C22×D244C2313yes—
81C2×D4×D61—23no—
82C22×C4×D61—23no—
83#14519808—212no—
84#14519803—212no—
85#14519802—212no—
86#14519802—212no—
87#14519797—212no—
88#14519797—212no—
89C2×#11758202C2311yescharacteristic
90C2×#11758202C2313yes—
91C2×#11758200C2311yescharacteristic
92C2×#11758200C2313yes—
93C2×#11758201—212no—
94C2×#11758201C2313yes—
95C2×#11758201C2313yes—
96C2×#11758201C2316yes—
97C2×#11758199—212no—
98C2×#11758199C2313yes—
99C2×#11758199C2313yes—
100C2×#11758199C2316yes—
101#14519784—24no—
102#14519784—24no—
103C2×#11758194C2313yes—
104C2×#11758194C2313yes—
105C22×#92418C2313yes—
106C22×#92418C2313yes—
107Q8×Dic61—21no—
108C4×Dic122C2313yes—
109C4×Dic122C2311yescharacteristic
110C4×D244—23no—
111C4×D244—23no—
112C4×D244C2316yes—
113C4×D244C2313yes—
114C4×D244C2313yes—
115D4×Dic61—23no—
116#14519739—23no—
117#14519739—23no—
118C4×C22⋊D61—23no—
119C4×C22⋊D61—23no—
120#14519737—26no—
121#14519736C2313yes—
122#14519735—23no—
123#14519734—23no—
124C2×C4⋊Dic61C2313yes—
125C4⋊C4×D61—23no—
126C2×#11758198—23no—
127C22⋊C4×D61—26no—
128C42×D61—23no—
129C4⋊#92418C2316yes—
130C4⋊#92418C2313yes—
131C4⋊#92418C2313yes—
132C4⋊#92418C2311yescharacteristic
133C4⋊#92418C2313yes—
134#14519701C2311yescharacteristic
135#14519701C2313yes—
136#14519701C2316yes—
137#14519701C2313yes—
138#14519701C2313yes—
139#14519698C2311yescharacteristic
140#14519698C2313yes—
141#14519698C2316yes—
142#14519698C2313yes—
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—
183C23×D61—23no—
184#41×C61—26no—
185#41×C61—26no—
186#41×C61—26no—
187#41×C61—26no—
188#41×C61—44no—
189#41×C61—412no—
190#41×C61C2×D414yes—
191#41×C61#4114yes—
192C2×Q8×C61—23no—
193C2×Q8×C61—26no—
194C2×Q8×C61—26no—
195C2×Q8×C61—44no—
196C2×Q8×C61C2×D411yescharacteristic
197C2×Q8×C61C2413yes—
198C2×Q8×C61C2411yescharacteristic
199C2×D4×C61—23no—
200C2×D4×C61—23no—
201C2×D4×C61—26no—
202C2×D4×C61—23no—
203C2×D4×C61—23no—
204C2×D4×C61—23no—
205C2×D4×C61—26no—
206C2×D4×C61—412no—
207C2×D4×C61C2×D413yes—
208C2×D4×C61C2413yes—
209C2×D4×C61C2411yescharacteristic
210C22×C4×C61—23no—
211C22×C4×C61—23no—
212C22×C4×C61—23no—
213C22×C4×C61C2×D413yes—
214C22×C4×C61C2×D413yes—
215C22×C4×C61C2413yes—
216C2×C22⋊D61—23no—
217C22×Dic61—23no—
218#11758226—28no—
219D4×D61—224no—
220#11758222—26no—
221#11758222C2×D4112yes—
222C2×D244—23no—
223C2×D244—26no—
224C2×D244C2×D4112yes—
225C2×D244C2413yes—
226C2×C4×D61—23no—
227C2×C4×D61—23no—
228C2×C4×D61—26no—
229C2×C4×D61—23no—
230C2×C4×D61—86no—
231C2×Dic122C2411yescharacteristic
232C4⋊C4×C61—23no—
233C4⋊C4×C61—23no—
234C4⋊C4×C61C2×D413yes—
235C4⋊C4×C61C2×D413yes—
236C22⋊C4×C61—23no—
237C22⋊C4×C61—23no—
238C22⋊C4×C61—26no—
239C22⋊C4×C61—26no—
240C22⋊C4×C61—21no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61C2×D416yes—
243C42×C61C2×D413yes—
244C42×C61C2×D413yes—
245C42×C61C2411yescharacteristic
246C42×C61C2413yes—
247C22⋊Dic61—23no—
248#11758202—26no—
249#11758202—22no—
250#11758201—212no—
251#11758201—26no—
252#11758201—26no—
253#11758200—22no—
254#11758200—26no—
255#11758199—26no—
256#11758199—212no—
257#11758199—26no—
258#11758198—23no—
259#11758198—26no—
260#11758198—23no—
261C4⋊Dic61—23no—
262C4⋊Dic61C2413yes—
263C4⋊Dic61C2411yescharacteristic
264#11758196—23no—
265#11758196—21no—
266C4×Dic61—21no—
267C4×Dic61—23no—
268C4×Dic61—23no—
269#11758194—26no—
270#11758194—26no—
271C2×#92418—26no—
272C2×#92418—26no—
273C2×#92418C2411yescharacteristic
274C2×#92418C2413yes—
275C2×#92418C2411yescharacteristic
276C2×#92418C2413yes—
277C23×C61—23no—
278C23×C61—21no—
279C23×C61—46no—
280C23×C61—83no—
281C23×C61—83no—
282C23×C61C22×D413yes—
283C22×D61—23no—
284C22×D61—212no—
285C22×D61—83no—
286C22×D61—83no—
287Q8×C61—23no—
288Q8×C61—21no—
289Q8×C61—23no—
290Q8×C61—21no—
291Q8×C61—46no—
292Q8×C61#12114yes—
293D4×C61—23no—
294D4×C61—21no—
295D4×C61—23no—
296D4×C61—21no—
297D4×C61—46no—
298D4×C61—46no—
299D4×C61—46no—
300D4×C61—83no—
301D4×C61—83no—
302D4×C61#121112yes—
303C2×C4×C61—23no—
304C2×C4×C61—21no—
305C2×C4×C61—43no—
306C2×C4×C61—43no—
307C2×C4×C61—46no—
308C2×C4×C61—46no—
309C2×C4×C61—46no—
310C2×C4×C61C22×D413yes—
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D413yes—
314C2×C4×C61C22×D413yes—
315C2×C4×C61C22×D416yes—
316C2×C4×C61C2×#4116yes—
317C2×C4×C61C2511yescharacteristic
318C22⋊D61—212no—
319C2×Dic61—21no—
320C2×Dic61—21no—
321C2×Dic61—23no—
322C2×Dic61—83no—
323D244—212no—
324D244—23no—
325D244C22×D416yes—
326C4×D61—212no—
327C4×D61—46no—
328C4×D61—83no—
329C4×D61—86no—
330Dic122—21no—
331Dic122C22×D412yes—
332#92418—21no—
333#92418—21no—
334#92418—23no—
335#92418—23no—
336#60430—611nomaximal, Sylow
337C22×C61—23no—
338C22×C61—23no—
339C22×C61—41no—
340C22×C61—43no—
341C22×C61—41no—
342C22×C61—43no—
343C22×C61—41no—
344C22×C61—43no—
345C22×C61—166no—
346C22×C61C2×#12116yes—
347C22×C61C23×D411yescharacteristic
348C2×D61—26no—
349C2×D61—43no—
350C2×D61—43no—
351C2×D61—812no—
352C4×C61—23no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—23no—
356C4×C61—41no—
357C4×C61—43no—
358C4×C61C2×#12116yes—
359C4×C61C23×D411yescharacteristic
360C4×C61C22×#4111yescharacteristic
361Dic61—22no—
362Dic61—41no—
363Dic61—43no—
364C2×#577—611no—
365C2×#576—611no—
366#3500D6111yescharacteristic, complemented
367C4×H(5,𝔽2)—611no—
368#3046—613no—
369#3045—613no—
370#3042—613no—
371#3041—613no—
372#3040—613no—
373#3036—613no—
374#3035—613no—
375C2×#463—613no—
376#2906—611no—
377#2898—611no—
378#2897—611no—
379C2×C61—26no—
380C2×C61—81no—
381C2×C61—83no—
382C2×C61C22×#12111yescharacteristic
383C2×C61#358411yescharacteristic
384C2×C61#358511yescharacteristic
385D61—46no—
386C2×2−1+4C2×D6111yescharacteristic
387C2×H(5,𝔽2)—611no—
388C2×H(5,𝔽2)C2×D6111yescharacteristic
389#577—1228no—
390#576—1228no—
391C2×#137—613no—
392C2×AGL(1,ℤ/8)—613no—
393C2×AGL(1,ℤ/8)—613no—
394C2×AGL(1,ℤ/8)—613no—
395C2×#135—613no—
396C2×#135—613no—
397C22×SD16—613no—
398C22×D8—613no—
399C2×#131—611no—
400C2×#131—611no—
401#548—21no—
402#548—21no—
403#546—23no—
404#546—23no—
405#536C2×D6113yescomplemented
406#535C2×D6113yescomplemented
407#532C2×D6113yescomplemented
408C2×#124C2×D6113yescomplemented
409#520—611no—
410#520—613no—
411#520—1221no—
412#518—613no—
413#518—1223no—
414C4×#41—613no—
415C4×#41—1221no—
416C4×#41C2×D6111yescharacteristic
417C2×C4×D4—613no—
418C2×C4×D4—1223no—
419#464—611no—
420#464—613no—
421#464—616no—
422#463—613no—
423#463—616no—
424#463—616no—
425#463—616no—
426#463—613no—
427#463—616no—
428#462—613no—
429#461—613no—
430#461—616no—
431#460—613no—
432#459—613no—
433#459—616no—
434#424—613no—
435#424—613no—
436#423—613no—
437C2×C4⋊C8—613no—
438#419—613no—
439#418—613no—
440#417—613no—
441#417—613no—
442#416—613no—
443#416—613no—
444C2×#103—613no—
445C2×#102—613no—
446C61#6043011yescharacteristic, complemented, Sylow
4472−1+4—24no—
4482−1+4—24no—
449H(5,𝔽2)—24no—
450H(5,𝔽2)—24no—
451H(5,𝔽2)—618no—
452H(5,𝔽2)—1224no—
453C2×#41—21no—
454C2×#41—23no—
455C2×#41—613no—
456C2×#41—1221no—
457C2×#41C22×D6113yes—
458C2×#41C22×D6113yes—
459C2×#41C22×D6111yescharacteristic
460C22×Q8—21no—
461C22×Q8C22×D6113yes—
462C22×D4—23no—
463C22×D4—613no—
464C22×D4—1223no—
465C22×D4C22×D6113yes—
466C23×C4—1223no—
467#137—12212no—
468AGL(1,ℤ/8)—12212no—
469AGL(1,ℤ/8)—12212no—
470AGL(1,ℤ/8)—12212no—
471#135—12212no—
472#135—12212no—
473C2×Q16—611no—
474C2×Q16—613no—
475C2×SD16—613no—
476C2×SD16—616no—
477C2×SD16—613no—
478C2×SD16—611no—
479C2×SD16—613no—
480C2×SD16—12212no—
481C2×D8—613no—
482C2×D8—616no—
483C2×D8—613no—
484C2×D8—12212no—
485#131—1224no—
486#131—1224no—
487C2×M16—613no—
488C2×M16—613no—
489C22×C8—613no—
490C22×C8—613no—
491C4⋊Q8C22×D6113yes—
492#127C22×D6113yes—
493#124—23no—
494#124—23no—
495#124C22×D6113yes—
496#124C22×D6116yes—
497#124C22×D6111yescharacteristic
498#123—26no—
499C22⋊Q8—23no—
500C22⋊Q8—23no—
501#121—23no—
502#121—23no—
503#121—23no—
504#121—23no—
505#120—26no—
506C4×Q8—611no—
507C4×Q8—613no—
508C4×Q8—1221no—
509C4×Q8C22⋊D6111yescharacteristic
510C4×Q8C22⋊D6111yescharacteristic
511C4×D4—23no—
512C4×D4—23no—
513C4×D4—613no—
514C4×D4—616no—
515C4×D4—613no—
516C4×D4—1223no—
517C4×D4—1223no—
518C4×D4—1223no—
519C4×D4—1223no—
520C4×D4—1223no—
521C4×D4—1226no—
522C4×D4—1223no—
523C4×D4—1223no—
524C4×D4C22⋊D6113yes—
525C4×D4C22⋊D6113yes—
526#117—613no—
527#117—1223no—
528#117—1223no—
529#117C22×D6113yes—
530C2×C4⋊C4—613no—
531C2×C4⋊C4—1223no—
532C2×C22⋊C4—23no—
533C2×C22⋊C4—23no—
534C2×C22⋊C4—1223no—
535C2×C22⋊C4—1226no—
536C2×C42—1223no—
537C2×C42C22×D6113yes—
538C4⋊C8—611no—
539C4⋊C8—613no—
540C4⋊C8—613no—
541C4⋊C8—613no—
542C4⋊C8—616no—
543#103—613no—
544#103—616no—
545#103—611no—
546#103—613no—
547#103—613no—
548#102—613no—
549#102—616no—
550#102—611no—
551#102—613no—
552#102—613no—
553C24—23no—
554C24—1223no—
555#41—26no—
556#41—26no—
557#41—26no—
558#41—26no—
559#41—44no—
560#41—412no—
561#41—6112no—
562#41—1228no—
563#41—1226no—
564#41D4×D6114yes—
565#41#1175822414yes—
566C2×Q8—23no—
567C2×Q8—26no—
568C2×Q8—26no—
569C2×Q8—44no—
570C2×Q8—611no—
571C2×Q8C2×C22⋊D6111yescharacteristic
572C2×Q8C23×D6113yes—
573C2×Q8C23×D6111yescharacteristic
574C2×D4—23no—
575C2×D4—23no—
576C2×D4—26no—
577C2×D4—23no—
578C2×D4—23no—
579C2×D4—23no—
580C2×D4—26no—
581C2×D4—412no—
582C2×D4—6112no—
583C2×D4—613no—
584C2×D4—1223no—
585C2×D4—12224no—
586C2×D4—1223no—
587C2×D4—1226no—
588C2×D4C2×C22⋊D6113yes—
589C2×D4C23×D6113yes—
590C2×D4C23×D6111yescharacteristic
591C22×C4—23no—
592C22×C4—23no—
593C22×C4—23no—
594C22×C4—1223no—
595C22×C4—1223no—
596C22×C4—1223no—
597C22×C4—1226no—
598C22×C4—1223no—
599C22×C4—4886no—
600C22×C4C2×C22⋊D6113yes—
601C22×C4C2×C22⋊D6113yes—
602C22×C4C23×D6113yes—
603Q16—1222no—
604Q16—1226no—
605SD16—1222no—
606SD16—1226no—
607SD16—1226no—
608SD16—12212no—
609SD16—1226no—
610D8—1226no—
611D8—12212no—
612D8—1226no—
613M16—1226no—
614M16—1226no—
615C2×C8—611no—
616C2×C8—613no—
617C2×C8—611no—
618C2×C8—613no—
619C2×C8—1226no—
620C2×C8—1226no—
621C4⋊C4—23no—
622C4⋊C4—23no—
623C4⋊C4—613no—
624C4⋊C4—611no—
625C4⋊C4—1223no—
626C4⋊C4—1223no—
627C4⋊C4—1221no—
628C4⋊C4C2×C22⋊D6113yes—
629C4⋊C4C2×C22⋊D6113yes—
630C22⋊C4—23no—
631C22⋊C4—23no—
632C22⋊C4—26no—
633C22⋊C4—26no—
634C22⋊C4—21no—
635C22⋊C4—21no—
636C22⋊C4—1223no—
637C22⋊C4—1223no—
638C22⋊C4—1226no—
639C22⋊C4—1223no—
640C22⋊C4C2×C22⋊D6116yes—
641C42—1221no—
642C42—1223no—
643C42—1223no—
644C42C2×C22⋊D6113yes—
645C42C2×C22⋊D6113yes—
646C42C23×D6111yescharacteristic
647C42C23×D6113yes—
648C23—23no—
649C23—21no—
650C23—46no—
651C23—83no—
652C23—83no—
653C23—12212no—
654C23—1223no—
655C23—4883no—
656C23—4883no—
657C23C22×C22⋊D6113yes—
658Q8—23no—
659Q8—21no—
660Q8—23no—
661Q8—21no—
662Q8—46no—
663Q8—612no—
664Q8—1221no—
665Q8#1451974814yes—
666D4—23no—
667D4—21no—
668D4—23no—
669D4—21no—
670D4—46no—
671D4—46no—
672D4—46no—
673D4—83no—
674D4—83no—
675D4—616no—
676D4—12212no—
677D4—12212no—
678D4—1223no—
679D4#14519748112yes—
680C2×C4—23no—
681C2×C4—21no—
682C2×C4—43no—
683C2×C4—43no—
684C2×C4—46no—
685C2×C4—46no—
686C2×C4—46no—
687C2×C4—1221no—
688C2×C4—12212no—
689C2×C4—1221no—
690C2×C4—1223no—
691C2×C4—4883no—
692C2×C4—4886no—
693C2×C4—4883no—
694C2×C4—2446no—
695C2×C4C2×D4×D6116yes—
696C2×C4C22×C22⋊D6111yescharacteristic
697C2×C4C22×C22⋊D6113yes—
698C2×C4C22×C22⋊D6111yescharacteristic
699C2×C4C22×C22⋊D6113yes—
700C2×C4C22×C22⋊D6113yes—
701C2×C4C2×#1175822416yes—
702C2×C4C24×D6111yescharacteristic
703C8—1221no—
704C8—1221no—
705C8—1223no—
706C8—1223no—
707C22—23no—
708C22—23no—
709C22—41no—
710C22—43no—
711C22—41no—
712C22—43no—
713C22—41no—
714C22—43no—
715C22—166no—
716C22—1226no—
717C22—48812no—
718C22—2443no—
719C22—2443no—
720C22C2×#1451974816yes—
721C22C23×C22⋊D6111yescharacteristic
722C4—21no—
723C4—23no—
724C4—21no—
725C4—23no—
726C4—41no—
727C4—43no—
728C4—1222no—
729C4—2441no—
730C4—2443no—
731C4C2×#1451974816yes—
732C4C22×D4×D6111yescharacteristic
733C4C22×#1175822411yescharacteristic
734C2—26no—
735C2—83no—
736C2—81no—
737C2—2446no—
738C2C22×#1451974811yescharacteristic
739C2#2146059011yescharacteristic
740C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3500C2
socleC22×C61C23×D4
hypercenter#3500D61
hypocenterC61#60430
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×#16840570C2semidirect
2. C2×#16840565C2semidirect
3. C4×#14519823C2semidirect
4. #21455365C2semidirect
5. #21455354C2semidirect
6. #21455327C2semidirect
7. #21455318C2semidirect
8. #21455309C2semidirect
9. #21455279C2semidirect
10. #21455268C2semidirect
11. C2×#16839974C2semidirect
12. #21454387C2semidirect
13. #21454352C2semidirect
14. #21454345C2semidirect
15. C61×#3500C2semidirect
19. C2×#14519808C22semidirect
22. C2×#14519802C22semidirect
24. C2×#14519797C22semidirect
25. C22×#11758201C22semidirect
31. #16840242C22semidirect
32. #16840236C22semidirect
35. C4×#11758222C22semidirect
36. C2×C4×D244C22semidirect
38. #16839981C22semidirect
39. #16839981C22semidirect
40. #16839981C22semidirect
41. #16839974C22semidirect
42. #16839974C22semidirect
43. #16839974C22semidirect
44. #16839974C22semidirect
45. #16839974C22semidirect
46. #16839974C22semidirect
47. #16839969C22semidirect
48. #16839964C22semidirect
49. #16839964C22semidirect
50. #16839959C22semidirect
51. #16839954C22semidirect
52. #16839954C22semidirect
53. #16839789C22semidirect
54. #16839789C22semidirect
55. #16839786C22semidirect
56. C2×C4⋊#92418C22semidirect
57. #16839771C22semidirect
58. #16839767C22semidirect
59. #16839763C22semidirect
60. #16839763C22semidirect
61. #16839758C22semidirect
62. #16839758C22semidirect
63. C2×#14519701C22semidirect
64. C2×#14519698C22semidirect
71. C61×#536C22semidirect
72. C61×#535C22semidirect
73. C61×#532C22semidirect
74. C2×#124×C61C22semidirect
77. #14519823D4semidirect
366. #3500D61semidirect
405. #536C2×D61semidirect
406. #535C2×D61semidirect
407. #532C2×D61semidirect
408. C2×#124C2×D61semidirect
446. C61#60430semidirect

Maximal subgroups

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

subgroupindex
C2×#168405702
C2×#168405652
C4×#145198232
#214553652
#214553542
#214553272
#214553182
#214553092
#214552792
#214552682
C2×#168399742
#214543872
#214543522
#214543452
C61×#35002
#6043061