Finite Group Databasebeta

← #30543996

Subgroups — #30543996

Order 15616.

2756 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840527C211yesmaximal, characteristic, complemented
2C2×#131×D61C211yesmaximal, characteristic, complemented
3#41×D244C211yesmaximal, characteristic
4#21454565C213yesmaximal, complemented
5M16×D244C213yesmaximal, complemented
6#21454547C213yesmaximal, complemented
7#21454547C213yesmaximal, complemented
8#21454538C213yesmaximal, complemented
9#21454524C213yesmaximal, complemented
10#21454515C213yesmaximal, complemented
11C2×#16839835C213yesmaximal, complemented
12#21454387C211yesmaximal, characteristic, complemented
13#21454266C211yesmaximal, characteristic, complemented
14#21454266C211yesmaximal, characteristic, complemented
15C61×#2875C211yesmaximal, characteristic, complemented
16C2×#41×D61C2211yescharacteristic
17C2×#41×D61C2211yescharacteristic
18#16840527—28no—
19C2×#14519785C2213yescomplemented
20C2×#14519785C2213yescomplemented
21C2×#14519784C2211yescharacteristic
22C2×#14519784C2211yescharacteristic
23C2×#14519783C2213yescomplemented
24C2×#14519783C2213yescomplemented
25#131×D61—28no—
26C22×#11758189C2213yescomplemented
27C2×M16×D61C2213yescomplemented
28C2×M16×D61C2213yescomplemented
29C22×C8×D61C2213yescomplemented
30#16840434C411yescharacteristic
31Q8×D244C411yescharacteristic
32#16840424C411yescharacteristic
33#16840424C411yescharacteristic
34#16840416C413yes—
35#16840407C413yes—
36#16840407C413yes—
37D4×D244C413yes—
38#16840312C2213yes—
39#16840274C2213yes—
40#16840274C2213yes—
41C2×C4×D244C2213yes—
42#16839841C2216yescomplemented
43#16839841C2216yescomplemented
44#16839835C2211yescharacteristic
45#16839835C2213yes—
46#16839835C2213yescomplemented
47#16839835C2213yescomplemented
48#16839835C2213yescomplemented
49#16839835C2213yescomplemented
50#16839835C2213yescomplemented
51#16839835C2213yescomplemented
52#16839835C2216yescomplemented
53#16839835C2216yescomplemented
54#16839835C2216yescomplemented
55C8×D244C2216yescomplemented
56C8×D244C2216yescomplemented
57#16839789C2213yescomplemented
58#16839789C2213yescomplemented
59#16839786C2213yescomplemented
60C2×C4⋊#92418C2213yescomplemented
61#16839730C2213yescomplemented
62#16839730C2213yescomplemented
63#16839728C2213yescomplemented
64#16839728C2213yescomplemented
65#16839725C2213yescomplemented
66#16839725C2213yescomplemented
67C2×#14519689C2213yescomplemented
68C2×#14519689C2213yescomplemented
69C2×#131×C61C2211yescharacteristic
70C2×#131×C61C2211yescharacteristic
71C4×#41×C61C2211yescharacteristic
72C61×#405C2213yescomplemented
73C61×#405C2213yescomplemented
74C4×M16×C61C2213yescomplemented
75C2×#97×C61C2213yescomplemented
76C2×#11758226C2×C411yescharacteristic
77C2×#11758226C2×C411yescharacteristic
78C2×#11758222C2313yes—
79C2×#11758222C2313yes—
80C2×#11758224C2×C413yes—
81C2×#11758224C2×C413yes—
82#41×D61—24no—
83#41×D61—24no—
84#41×D61—24no—
85#41×D61—24no—
86C2×Q8×D61C2×C411yescharacteristic
87C2×Q8×D61C2×C411yescharacteristic
88C22×D244C2×C413yes—
89C2×D4×D61C2×C413yes—
90C2×D4×D61C2×C413yes—
91C22×C4×D61C2313yes—
92C22×C4×D61C2313yes—
93#14519785—212no—
94#14519785—212no—
95#14519784—24no—
96#14519784—24no—
97#14519783—212no—
98#14519783—212no—
99C2×#11758194C2313yes—
100C2×#11758194C2313yes—
101C2×#11758189—212no—
102C2×#11758189C2313yes—
103C2×#11758189C2316yes—
104C2×#11758189C2311yescharacteristic
105C2×#11758189C2313yes—
106C2×#11758189C2313yes—
107M16×D61—212no—
108M16×D61—212no—
109C22×#92418C2313yes—
110C22×#92418C2313yes—
111C2×C8×D61—212no—
112C2×C8×D61C2311yescharacteristic
113C2×C8×D61C2313yes—
114C2×C8×D61C2313yes—
115C2×C8×D61C2313yes—
116C2×C8×D61C2316yes—
117#14519777C2×C413yes—
118#14519774C2×C413yes—
119#14519765C2×C413yes—
120#14519765C2×C413yes—
121#14519761C2×C416yes—
122#14519761C2×C416yes—
123#14519757C2×C413yes—
124#14519757C2×C413yes—
125#14519757C2×C413yes—
126#14519757C2×C413yes—
127#14519752C2×C413yes—
128#14519752C2×C413yes—
129#14519752C2×C413yes—
130#14519752C2×C413yes—
131#14519751C2×C416yes—
132#14519751C2×C416yes—
133#14519747C2×C416yes—
134#14519747C2×C416yes—
135C4×D244C2×C413yes—
136C4×D244C2×C413yes—
137C4×D244C2×C413yes—
138C4×D244C2×C413yes—
139C4×D244C2311yescharacteristic
140C4×D244C2313yes—
141C4×D244C2313yes—
142C4×D244C2313yes—
143C4×D244C2316yes—
144C2×C4⋊Dic61C2×C413yes—
145C2×#11758198C2×C413yes—
146C2×#11758198C2×C413yes—
147C4⋊#92418C2311yescharacteristic
148C4⋊#92418C2313yes—
149C4⋊#92418C2313yes—
150C4⋊#92418C2313yes—
151C4⋊#92418C2316yes—
152#14519689C2311yescharacteristic
153#14519689C2311yescharacteristic
154#14519689C2313yes—
155#14519689C2313yes—
156#14519689C2313yes—
157#14519689C2313yes—
158#14519689C2313yes—
159#14519689C2313yes—
160#14519689C2316yes—
161#14519689C2316yes—
162C2×#41×C61C2311yescharacteristic
163#131×C61—24no—
164#131×C61D418yescomplemented
165C2×M16×C61C2313yes—
166C2×M16×C61C2313yes—
167C22×C8×C61C2313yes—
168C22×C8×C61C2313yes—
169C4×Q8×C61C2×C411yescharacteristic
170C4×Q8×C61C2×C411yescharacteristic
171C4×D4×C61C2×C413yes—
172C4×D4×C61C2×C413yes—
173#117×C61C2313yes—
174C2×C42×C61C2313yes—
175#97×C61C2311yescharacteristic
176#97×C61C2313yes—
177#97×C61C2313yes—
178#97×C61C2313yes—
179C4×C8×C61C2316yes—
180C23×D61C22×C413yes—
181C23×D61C22×C413yes—
182#41×C61C2×D414yes—
183#41×C61#4114yes—
184C2×Q8×C61C22×C411yescharacteristic
185C2×D4×C61C22×C413yes—
186C22×C4×C61C22×C413yes—
187C22×C4×C61C22×C413yes—
188C22×C4×C61C2413yes—
189C2×C22⋊D61C22×C416yes—
190C2×C22⋊D61C22×C416yes—
191C22×Dic61C22×C413yes—
192C22×Dic61C22×C413yes—
193#11758226—24no—
194#11758226—24no—
195Q8×D61—24no—
196Q8×D61—24no—
197#11758224—212no—
198#11758224—212no—
199D4×D61—212no—
200D4×D61—212no—
201#11758222—26no—
202#11758222—26no—
203#11758222—26no—
204#11758222—26no—
205C2×D244—46no—
206C2×D244C22×C413yes—
207C2×D244C22×C413yes—
208C2×D244C22×C411yescharacteristic
209C2×D244C22×C413yes—
210C2×D244C22×C413yes—
211C2×D244C22×C413yes—
212C2×D244C22×C416yes—
213C2×C4×D61—26no—
214C2×C4×D61—26no—
215C2×C4×D61—26no—
216C2×C4×D61—26no—
217C2×C4×D61C22×C413yes—
218C2×C4×D61C22×C413yes—
219C2×C4×D61C22×C413yes—
220C2×C4×D61C22×C413yes—
221C2×C4×D61C2411yescharacteristic
222C2×C4×D61C2411yescharacteristic
223C2×C4×D61C2413yes—
224C2×C4×D61C2413yes—
225C2×Dic122C22×C413yes—
226C2×Dic122C22×C413yes—
227M16×C61—26no—
228M16×C61C2×D4112yescomplemented
229C2×C8×C61—26no—
230C2×C8×C61C2×D4112yescomplemented
231C2×C8×C61C2413yes—
232C2×C8×C61C2411yescharacteristic
233C2×C8×C61C2413yes—
234C2×C8×C61C2411yescharacteristic
235C4⋊C4×C61C22×C413yes—
236C4⋊C4×C61C22×C413yes—
237C22⋊C4×C61C22×C416yes—
238C42×C61C22×C413yes—
239C42×C61C22×C413yes—
240C42×C61C2413yes—
241C42×C61C2411yescharacteristic
242#11758198C22×C411yescharacteristic
243#11758198C22×C411yescharacteristic
244#11758198C22×C413yes—
245#11758198C22×C413yes—
246#11758198C22×C413yes—
247#11758198C22×C413yes—
248#11758198C22×C413yes—
249#11758198C22×C413yes—
250#11758198C22×C416yes—
251#11758198C22×C416yes—
252C4⋊Dic61C22×C411yescharacteristic
253C4⋊Dic61C22×C413yes—
254C4⋊Dic61C22×C413yes—
255C4⋊Dic61C22×C413yes—
256C4⋊Dic61C22×C416yes—
257#11758194—26no—
258#11758194—26no—
259C2×#92418—26no—
260C2×#92418—26no—
261C2×#92418C2411yescharacteristic
262C2×#92418C2413yes—
263C2×#92418C2413yes—
264C2×#92418C2411yescharacteristic
265#11758189—26no—
266#11758189—212no—
267#11758189—22no—
268#11758189—26no—
269#11758189—26no—
270C8×D61—22no—
271C8×D61—26no—
272C8×D61—26no—
273C8×D61—26no—
274C8×D61—212no—
275C23×C61C23×C413yes—
276C22×D61—26no—
277C22×D61—26no—
278C22×D61—26no—
279C22×D61—43no—
280C22×D61—43no—
281C22×D61—43no—
282C22×D61C23×C411yescharacteristic
283C22×D61C23×C413yes—
284C22×D61C23×C413yes—
285C22×D61C23×C411yescharacteristic
286Q8×C61C4×D414yes—
287D4×C61C4×D4112yes—
288C2×C4×C61—43no—
289C2×C4×C61—43no—
290C2×C4×C61C23×C411yescharacteristic
291C2×C4×C61C23×C413yes—
292C2×C4×C61C23×C413yes—
293C2×C4×C61C23×C411yescharacteristic
294C2×C4×C61C23×C413yes—
295C2×C4×C61C22×D416yes—
296C2×C4×C61C2×#4116yes—
297C2×C4×C61C2511yescharacteristic
298C22⋊D61—212no—
299C22⋊D61—212no—
300C2×Dic61—26no—
301C2×Dic61—26no—
302C2×Dic61C23×C413yes—
303C2×Dic61C23×C413yes—
304C2×Dic61C23×C411yescharacteristic
305C2×Dic61C23×C411yescharacteristic
306D244—22no—
307D244—26no—
308D244—26no—
309D244—26no—
310D244—43no—
311D244—43no—
312D244—46no—
313C4×D61—26no—
314C4×D61—26no—
315C4×D61—26no—
316C4×D61—26no—
317C4×D61—21no—
318C4×D61—23no—
319C4×D61—23no—
320C4×D61—21no—
321C4×D61—21no—
322C4×D61—21no—
323C4×D61—23no—
324C4×D61—23no—
325Dic122—26no—
326Dic122—26no—
327C8×C61—21no—
328C8×C61—23no—
329C8×C61C22×D412yes—
330C8×C61C22×D416yes—
331#92418—21no—
332#92418—23no—
333#92418—23no—
334#92418—21no—
335#60146—611nomaximal, Sylow
336C22×C61—23no—
337C22×C61—23no—
338C22×C61C2×C4×D416yes—
339C22×C61C24×C411yescharacteristic
340C2×D61—21no—
341C2×D61—21no—
342C2×D61—21no—
343C2×D61—23no—
344C2×D61—23no—
345C2×D61—21no—
346C2×D61—23no—
347C2×D61—23no—
348C2×D61—23no—
349C2×D61—23no—
350C2×D61—21no—
351C2×D61—412no—
352C2×D61—86no—
353C2×D61#56812yescomplemented
354C4×C61—21no—
355C4×C61—23no—
356C4×C61—23no—
357C4×C61—21no—
358C4×C61C2×C4×D416yes—
359C4×C61C23×D411yescharacteristic
360C4×C61C22×#4111yescharacteristic
361Dic61—23no—
362Dic61—23no—
363Dic61—21no—
364Dic61—21no—
365C2×#568—611no—
366C22×#131—611no—
367D4×#41—611no—
368#2935—613no—
369D4×M16—613no—
370#2933—613no—
371#2933—613no—
372#2932—613no—
373#2930—613no—
374#2929—613no—
375C2×#435—613no—
376#2906—611no—
377#2880—611no—
378#2880—611no—
379#2875D6111yescharacteristic, complemented
380C2×C61—26no—
381C2×C61C22×C4×D411yescharacteristic
382C2×C61C2×#56811yescharacteristic
383C2×C61#357311yescharacteristic
384D61—22no—
385D61—43no—
386D61—43no—
387D61—41no—
388C22×#41—611no—
389C22×#41—611no—
390#568—1228no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131—613no—
394C2×#131—613no—
395C2×#131—613no—
396C2×#131—613no—
397C2×#131—1228no—
398C2×#131C2×D6111yescharacteristic
399C2×#131C2×D6111yescharacteristic
400C22×M16—613no—
401C22×M16—613no—
402C22×M16—613no—
403C23×C8—613no—
404#550—611no—
405D4×Q8—611no—
406#548—611no—
407#548—611no—
408#547—613no—
409#546—613no—
410#546—613no—
411D42—613no—
412#532—613no—
413#525—613no—
414#525—613no—
415C4×#41C2×D6111yescharacteristic
416C2×C4×D4—613no—
417#436—616no—
418#436—616no—
419#435—611no—
420#435—613no—
421#435—613no—
422#435—613no—
423#435—613no—
424#435—613no—
425#435—613no—
426#435—613no—
427#435—616no—
428#435—616no—
429#435—616no—
430C8×D4—616no—
431C8×D4—616no—
432#424—613no—
433#424—613no—
434#423—613no—
435C2×C4⋊C8—613no—
436#408—613no—
437#408—613no—
438#408—613no—
439#408—613no—
440#407—613no—
441#407—613no—
442C2×C22⋊C8—613no—
443C2×C22⋊C8—613no—
444#405C2×D6113yescomplemented
445#405C2×D6113yescomplemented
446C4×M16C2×D6113yescomplemented
447C2×#97C2×D6113yescomplemented
448C61#6014611yescharacteristic, complemented, Sylow
449C2×#41—611no—
450C2×#41—611no—
451C2×#41—613no—
452C2×#41—613no—
453C2×#41—613no—
454C2×#41—613no—
455C2×#41—1224no—
456C2×#41—1224no—
457C2×#41—1224no—
458C2×#41—1224no—
459C2×#41C22×D6111yescharacteristic
460C22×Q8—611no—
461C22×Q8—611no—
462C22×D4—613no—
463C22×D4—613no—
464C22×D4—613no—
465C23×C4—613no—
466C23×C4—613no—
467#131—24no—
468#131—1224no—
469#131—1224no—
470#131—12212no—
471#131—12212no—
472#131—12212no—
473#131—12212no—
474#131D24418yescomplemented
475C2×M16—613no—
476C2×M16—613no—
477C2×M16—611no—
478C2×M16—613no—
479C2×M16—613no—
480C2×M16—616no—
481C2×M16—613no—
482C2×M16—12212no—
483C2×M16—12212no—
484C2×M16—12212no—
485C2×M16C22×D6113yes—
486C2×M16C22×D6113yes—
487C22×C8—613no—
488C22×C8—613no—
489C22×C8—611no—
490C22×C8—613no—
491C22×C8—613no—
492C22×C8—613no—
493C22×C8—616no—
494C22×C8—12212no—
495C22×C8C22×D6113yes—
496C22×C8C22×D6113yes—
497C4⋊Q8—613no—
498#127—613no—
499#124—613no—
500#124—613no—
501#123—616no—
502#123—616no—
503C22⋊Q8—613no—
504C22⋊Q8—613no—
505C22⋊Q8—613no—
506C22⋊Q8—613no—
507#121—616no—
508#121—616no—
509#121—613no—
510#121—613no—
511#121—613no—
512#121—613no—
513#120—616no—
514#120—616no—
515C4×Q8C4×D6111yescharacteristic
516C4×Q8C4×D6111yescharacteristic
517C4×D4—613no—
518C4×D4—613no—
519C4×D4—613no—
520C4×D4—613no—
521C4×D4—611no—
522C4×D4—613no—
523C4×D4—613no—
524C4×D4—613no—
525C4×D4—616no—
526C4×D4C4×D6113yes—
527C4×D4C4×D6113yes—
528#117C22×D6113yes—
529C2×C4⋊C4—613no—
530C2×C22⋊C4—613no—
531C2×C22⋊C4—613no—
532C2×C42C22×D6113yes—
533C4⋊C8—611no—
534C4⋊C8—613no—
535C4⋊C8—613no—
536C4⋊C8—613no—
537C4⋊C8—616no—
538C22⋊C8—611no—
539C22⋊C8—611no—
540C22⋊C8—613no—
541C22⋊C8—613no—
542C22⋊C8—613no—
543C22⋊C8—613no—
544C22⋊C8—613no—
545C22⋊C8—613no—
546C22⋊C8—616no—
547C22⋊C8—616no—
548#97C22×D6111yescharacteristic
549#97C22×D6113yes—
550#97C22×D6113yes—
551#97C22×D6113yes—
552C4×C8C22×D6116yes—
553C24—613no—
554C24—613no—
555#41—1224no—
556#41—1224no—
557#41—12212no—
558#41—12212no—
559#41—1226no—
560#41—1226no—
561#41—1226no—
562#41—1226no—
563#41C2×D24414yes—
564#41#1175822214yes—
565C2×Q8—613no—
566C2×Q8—613no—
567C2×Q8—1224no—
568C2×Q8—1224no—
569C2×Q8C2×C4×D6111yescharacteristic
570C2×D4—616no—
571C2×D4—616no—
572C2×D4—611no—
573C2×D4—613no—
574C2×D4—613no—
575C2×D4—613no—
576C2×D4—613no—
577C2×D4—613no—
578C2×D4—616no—
579C2×D4—12212no—
580C2×D4—12212no—
581C2×D4—2446no—
582C2×D4C2×C4×D6113yes—
583C22×C4—613no—
584C22×C4—613no—
585C22×C4—613no—
586C22×C4—613no—
587C22×C4—613no—
588C22×C4—613no—
589C22×C4—611no—
590C22×C4—613no—
591C22×C4—613no—
592C22×C4—611no—
593C22×C4—1226no—
594C22×C4—1226no—
595C22×C4—1226no—
596C22×C4—1226no—
597C22×C4C2×C4×D6113yes—
598C22×C4C2×C4×D6113yes—
599C22×C4C23×D6113yes—
600M16—26no—
601M16—1226no—
602M16—1226no—
603M16—1222no—
604M16—1226no—
605M16—1226no—
606M16—12212no—
607M16—1226no—
608M16C2×D244112yescomplemented
609C2×C8—26no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—613no—
613C2×C8—613no—
614C2×C8—1226no—
615C2×C8—1226no—
616C2×C8—1222no—
617C2×C8—1226no—
618C2×C8—1226no—
619C2×C8—1226no—
620C2×C8—12212no—
621C2×C8C2×D244112yescomplemented
622C2×C8C23×D6113yes—
623C2×C8C23×D6111yescharacteristic
624C2×C8C23×D6113yes—
625C2×C8C23×D6111yescharacteristic
626C4⋊C4—611no—
627C4⋊C4—613no—
628C4⋊C4—613no—
629C4⋊C4—613no—
630C4⋊C4—616no—
631C4⋊C4C2×C4×D6113yes—
632C4⋊C4C2×C4×D6113yes—
633C22⋊C4—611no—
634C22⋊C4—611no—
635C22⋊C4—613no—
636C22⋊C4—613no—
637C22⋊C4—613no—
638C22⋊C4—613no—
639C22⋊C4—613no—
640C22⋊C4—613no—
641C22⋊C4—616no—
642C22⋊C4—616no—
643C22⋊C4C2×C4×D6116yes—
644C42C2×C4×D6113yes—
645C42C2×C4×D6113yes—
646C42C23×D6113yes—
647C42C23×D6111yescharacteristic
648C23—611no—
649C23—611no—
650C23—613no—
651C23—613no—
652C23—1226no—
653C23—1226no—
654C23—1226no—
655C23—2443no—
656C23—2443no—
657C23—2443no—
658C23C22×C4×D6113yes—
659Q8—1226no—
660Q8—1226no—
661Q8C4×D24414yes—
662D4—1226no—
663D4—1222no—
664D4—12212no—
665D4—12212no—
666D4—1226no—
667D4—1226no—
668D4—2446no—
669D4—2443no—
670D4—2443no—
671D4C4×D244112yes—
672C2×C4—43no—
673C2×C4—43no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—613no—
677C2×C4—613no—
678C2×C4—1226no—
679C2×C4—1226no—
680C2×C4—1226no—
681C2×C4—1226no—
682C2×C4—1226no—
683C2×C4—1226no—
684C2×C4—1221no—
685C2×C4—1223no—
686C2×C4—1223no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—1223no—
691C2×C4—1223no—
692C2×C4C22×C4×D6111yescharacteristic
693C2×C4C22×C4×D6111yescharacteristic
694C2×C4C22×C4×D6113yes—
695C2×C4C22×C4×D6113yes—
696C2×C4C22×C4×D6113yes—
697C2×C4C22×D24416yes—
698C2×C4C2×#1175822216yes—
699C2×C4C24×D6111yescharacteristic
700C8—21no—
701C8—23no—
702C8—1221no—
703C8—1223no—
704C8—1223no—
705C8—1221no—
706C8C22×D24412yes—
707C8C22×D24416yes—
708C22—23no—
709C22—23no—
710C22—612no—
711C22—1221no—
712C22—1221no—
713C22—1221no—
714C22—1223no—
715C22—1223no—
716C22—1221no—
717C22—1223no—
718C22—1223no—
719C22—1223no—
720C22—1223no—
721C22—1221no—
722C22—4886no—
723C22—24412no—
724C22C2×C4×D24416yes—
725C22C23×C4×D6111yescharacteristic
726C4—21no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—1221no—
731C4—1221no—
732C4—1223no—
733C4—1223no—
734C4C2×C4×D24416yes—
735C4C23×D24411yescharacteristic
736C4C22×#1175822211yescharacteristic
737C2—26no—
738C2—1222no—
739C2—2441no—
740C2—2443no—
741C2—2443no—
742C2C22×C4×D24411yescharacteristic
743C2#568×D6111yescharacteristic
744C2#2146053211yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D61
commutator, socleC22×C61C24×C4
FittingC61×#2875C2
prime radical#41×D244C2
cosocleC2×C4×C61C25
hypercenter#2875D61
hypocenterC61#60146
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #2875

Complements

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

NH ≅ G/Ntype
1. C2×#16840527C2semidirect
2. C2×#131×D61C2semidirect
4. #21454565C2semidirect
5. M16×D244C2semidirect
6. #21454547C2semidirect
7. #21454547C2semidirect
8. #21454538C2semidirect
9. #21454524C2semidirect
10. #21454515C2semidirect
11. C2×#16839835C2semidirect
12. #21454387C2semidirect
13. #21454266C2semidirect
14. #21454266C2semidirect
15. C61×#2875C2semidirect
19. C2×#14519785C22semidirect
20. C2×#14519785C22semidirect
23. C2×#14519783C22semidirect
24. C2×#14519783C22semidirect
26. C22×#11758189C22semidirect
27. C2×M16×D61C22semidirect
28. C2×M16×D61C22semidirect
29. C22×C8×D61C22semidirect
42. #16839841C22semidirect
43. #16839841C22semidirect
46. #16839835C22semidirect
47. #16839835C22semidirect
48. #16839835C22semidirect
49. #16839835C22semidirect
50. #16839835C22semidirect
51. #16839835C22semidirect
52. #16839835C22semidirect
53. #16839835C22semidirect
54. #16839835C22semidirect
55. C8×D244C22semidirect
56. C8×D244C22semidirect
57. #16839789C22semidirect
58. #16839789C22semidirect
59. #16839786C22semidirect
60. C2×C4⋊#92418C22semidirect
61. #16839730C22semidirect
62. #16839730C22semidirect
63. #16839728C22semidirect
64. #16839728C22semidirect
65. #16839725C22semidirect
66. #16839725C22semidirect
67. C2×#14519689C22semidirect
68. C2×#14519689C22semidirect
72. C61×#405C22semidirect
73. C61×#405C22semidirect
74. C4×M16×C61C22semidirect
75. C2×#97×C61C22semidirect
164. #131×C61D4semidirect
228. M16×C61C2×D4semidirect
230. C2×C8×C61C2×D4semidirect
353. C2×D61#568semidirect
379. #2875D61semidirect
444. #405C2×D61semidirect
445. #405C2×D61semidirect
446. C4×M16C2×D61semidirect
447. C2×#97C2×D61semidirect
448. C61#60146semidirect
474. #131D244semidirect
608. M16C2×D244semidirect
621. C2×C8C2×D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168405272
C2×#131×D612
#41×D2442
#214545652
M16×D2442
#214545472
#214545382
#214545242
#214545152
C2×#168398352
#214543872
#214542662
C61×#28752
#6014661