Finite Group Databasebeta

← #30547310

Subgroups — #30547310

Order 15616.

2756 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#131×D61C211yesmaximal, characteristic, complemented
2#21459492C211yesmaximal, characteristic, complemented
3#21459481C211yesmaximal, characteristic, complemented
4#21455504C213yesmaximal, complemented
5#21455493C213yesmaximal, complemented
6#21455477C213yesmaximal, complemented
7#21455454C213yesmaximal, complemented
8#21455443C213yesmaximal, complemented
9#21455432C213yesmaximal, complemented
10#21455396C213yesmaximal, complemented
11C2×#16839988C213yesmaximal, complemented
12#21454414C211yesmaximal, characteristic, complemented
13#21454352C211yesmaximal, characteristic, complemented
14#21454345C211yesmaximal, characteristic, complemented
15C2×C61×#577C211yesmaximal, characteristic, complemented
16C2×#41×D61C2211yescharacteristic
17C2×#14519785C2213yescomplemented
18C2×#14519784C2211yescharacteristic
19C2×#14519783C2213yescomplemented
20#131×D61—28no—
21C2×M16×D61C2213yescomplemented
22C22×C8×D61C2213yescomplemented
23#16840431—21no—
24Q8×C22⋊D61—21no—
25#16840423—21no—
26#16840419—21no—
27#16840411—23no—
28#16840406—23no—
29#16840400—23no—
30D4×C22⋊D61—23no—
31#16840340C2213yes—
32#16840340C2213yescomplemented
33#16840336C2213yescomplemented
34#16840329C2213yes—
35#16840269C2213yes—
36#16840269C2213yescomplemented
37C2×#14519753C2213yescomplemented
38C2×#14519748C2213yes—
39#16840245C2211yescharacteristic
40#16840245C2211yescharacteristic
41#16840017C2216yescomplemented
42#16840012C2216yescomplemented
43#16840005C2216yescomplemented
44#16840005C2216yescomplemented
45#16840000C2213yescomplemented
46#16840000C2213yescomplemented
47#16839995C2213yescomplemented
48#16839995C2213yescomplemented
49#16839988C2213yescomplemented
50#16839988C2216yescomplemented
51#16839988C2216yescomplemented
52#16839988C2216yescomplemented
53#16839988C2211yescharacteristic, complemented
54#16839988C2213yescomplemented
55#16839988C2213yescomplemented
56#16839804C2213yescomplemented
57#16839804C2213yescomplemented
58#16839800C2213yescomplemented
59C2×#14519709C2213yescomplemented
60#16839771C2213yescomplemented
61#16839767C2213yescomplemented
62#16839763C2213yescomplemented
63#16839763C2213yescomplemented
64#16839758C2213yescomplemented
65#16839758C2213yescomplemented
66C2×#14519701C2213yescomplemented
67C2×#14519698C2213yescomplemented
68C2×2−1+4×C61C2211yescharacteristic
69C2×H(5,𝔽2)×C61C2211yescharacteristic
70C61×#577—28no—
71C2×#137×C61C2213yescomplemented
72C2×AGL(1,ℤ/8)×C61C2213yescomplemented
73C2×#135×C61C2213yescomplemented
74C22×SD16×C61C2213yescomplemented
75C2×#131×C61C2211yescharacteristic
76C2×#11758226D411yescharacteristic
77C2×#11758222C2313yes—
78C2×#11758224D413yes—
79#41×D61—24no—
80#41×D61—24no—
81C2×Q8×D61D411yescharacteristic
82C22×C22⋊D61—23no—
83C2×D4×D61D413yes—
84C22×C4×D61C2313yes—
85#14519785—212no—
86#14519784—24no—
87#14519783—212no—
88C2×#11758194C2313yes—
89C2×#11758189C2316yes—
90M16×D61—212no—
91C22×#92418C2313yes—
92C2×C8×D61—212no—
93C2×C8×D61C2311yescharacteristic
94C2×C8×D61C2313yes—
95C2×C8×D61C2313yes—
96C2×C8×D61C2313yes—
97#14519775—23no—
98#14519773—23no—
99#14519766—23no—
100#14519764—23no—
101#14519760—26no—
102#14519758—23no—
103#14519758—23no—
104#14519756—23no—
105#14519756—23no—
106#14519753—23no—
107#14519753—23no—
108#14519753C2313yes—
109#14519753C2316yes—
110#14519753C2311yescharacteristic
111#14519753C2313yes—
112#14519753C2313yes—
113#14519751—23no—
114#14519751—23no—
115#14519749—26no—
116#14519749—26no—
117#14519748—23no—
118#14519748—23no—
119#14519748C2313yes—
120#14519748C2316yes—
121#14519748C2311yescharacteristic
122#14519748C2313yes—
123#14519748C2313yes—
124#14519746—26no—
125#14519745—23no—
126#14519745—23no—
127Q8×Dic61—21no—
128Q8×Dic61—21no—
129D4×Dic61—23no—
130D4×Dic61—23no—
131C4×C22⋊D61—23no—
132C4×C22⋊D61—23no—
133C4×C22⋊D61—23no—
134C4×C22⋊D61—23no—
135#14519736C2313yes—
136#14519736C2313yes—
137C2×C4⋊Dic61C2313yes—
138C2×C4⋊Dic61C2313yes—
139C2×#11758196—23no—
140C2×C22⋊Dic61—23no—
141C2×#11758198—23no—
142#14519711C2313yes—
143#14519711C2313yes—
144#14519709C2313yes—
145#14519709C2311yescharacteristic
146#14519709C2316yes—
147#14519701C2313yes—
148#14519701C2316yes—
149#14519701C2311yescharacteristic
150#14519701C2313yes—
151#14519701C2313yes—
152#14519698C2313yes—
153#14519698C2316yes—
154#14519698C2311yescharacteristic
155#14519698C2313yes—
156#14519698C2313yes—
1572−1+4×C61—24no—
1582−1+4×C61—24no—
159H(5,𝔽2)×C61—24no—
160H(5,𝔽2)×C61—24no—
161C2×#41×C61—21no—
162C2×#41×C61—23no—
163C2×#41×C61C2313yes—
164C2×#41×C61C2313yes—
165C2×#41×C61C2311yescharacteristic
166C22×Q8×C61—21no—
167C22×Q8×C61C2313yes—
168C22×D4×C61—23no—
169C22×D4×C61C2313yes—
170#137×C61—212no—
171AGL(1,ℤ/8)×C61—212no—
172#135×C61—212no—
173C2×Q16×C61C2313yes—
174C2×SD16×C61—212no—
175C2×SD16×C61C2313yes—
176C2×SD16×C61C2316yes—
177C2×SD16×C61C2311yescharacteristic
178C2×D8×C61C2313yes—
179#131×C61D418yescomplemented
180C2×M16×C61C2313yes—
181C22×C8×C61C2313yes—
182C24×C61—23no—
183C23×D61C2×D413yes—
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—26no—
204C2×D4×C61—412no—
205C2×D4×C61C2×D413yes—
206C2×D4×C61C2411yescharacteristic
207C2×D4×C61C2413yes—
208C22×C4×C61—23no—
209C22×C4×C61—23no—
210C22×C4×C61—23no—
211C22×C4×C61C2413yes—
212C2×C22⋊D61—23no—
213C2×C22⋊D61—21no—
214C2×C22⋊D61—26no—
215C2×C22⋊D61—23no—
216C2×C22⋊D61—23no—
217C2×C22⋊D61—86no—
218C2×C22⋊D61C2×D416yes—
219C22×Dic61—23no—
220C22×Dic61—23no—
221C22×Dic61C2×D413yes—
222#11758226—24no—
223Q8×D61—24no—
224#11758224—212no—
225D4×D61—212no—
226#11758222—26no—
227#11758222—26no—
228C2×D244C2×D413yes—
229C2×C4×D61—26no—
230C2×C4×D61—26no—
231C2×C4×D61C2×D413yes—
232C2×C4×D61C2×D413yes—
233C2×C4×D61C2411yescharacteristic
234C2×C4×D61C2413yes—
235C2×Dic122C2×D413yes—
236Q16×C61—26no—
237SD16×C61—26no—
238SD16×C61—212no—
239SD16×C61—22no—
240D8×C61—26no—
241M16×C61C2×D4112yescomplemented
242C2×C8×C61C2×D4112yescomplemented
243C2×C8×C61C2411yescharacteristic
244C2×C8×C61C2413yes—
245C22⋊Dic61—23no—
246C22⋊Dic61—23no—
247C22⋊Dic61—23no—
248C22⋊Dic61—26no—
249C22⋊Dic61—21no—
250C22⋊Dic61—23no—
251C22⋊Dic61—23no—
252#11758198—23no—
253#11758198—26no—
254#11758198—21no—
255#11758198—23no—
256#11758198—23no—
257C4⋊Dic61—23no—
258C4⋊Dic61—23no—
259C4⋊Dic61C2413yes—
260C4⋊Dic61C2411yescharacteristic
261C4⋊Dic61C2413yes—
262C4⋊Dic61C2411yescharacteristic
263#11758196—23no—
264#11758196—26no—
265#11758196—21no—
266#11758196—23no—
267#11758196—23no—
268C4×Dic61—23no—
269C4×Dic61—23no—
270#11758194—26no—
271C2×#92418—26no—
272C2×#92418C2411yescharacteristic
273C2×#92418C2413yes—
274#11758189—212no—
275C8×D61—22no—
276C8×D61—26no—
277C8×D61—26no—
278C8×D61—26no—
279C23×C61—21no—
280C23×C61—23no—
281C23×C61—46no—
282C23×C61—83no—
283C23×C61—83no—
284C23×C61C22×D413yes—
285C22×D61—26no—
286C22×D61—26no—
287C22×D61—43no—
288C22×D61C22×D413yes—
289C22×D61C22×D411yescharacteristic
290Q8×C61—23no—
291Q8×C61—21no—
292Q8×C61—23no—
293Q8×C61—21no—
294Q8×C61—46no—
295Q8×C61#12114yes—
296D4×C61—21no—
297D4×C61—23no—
298D4×C61—23no—
299D4×C61—21no—
300D4×C61—46no—
301D4×C61—46no—
302D4×C61—46no—
303D4×C61#121112yes—
304C2×C4×C61—21no—
305C2×C4×C61—23no—
306C2×C4×C61—46no—
307C2×C4×C61—46no—
308C2×C4×C61—46no—
309C2×C4×C61C22×D413yes—
310C2×C4×C61C22×D416yes—
311C2×C4×C61C2×#4116yes—
312C2×C4×C61C2511yescharacteristic
313C22⋊D61—212no—
314C22⋊D61—42no—
315C22⋊D61—46no—
316C22⋊D61—83no—
317C22⋊D61—83no—
318C22⋊D61—86no—
319C2×Dic61—26no—
320C2×Dic61—21no—
321C2×Dic61—21no—
322C2×Dic61—23no—
323C2×Dic61—23no—
324C2×Dic61—83no—
325C2×Dic61—83no—
326C2×Dic61C22×D413yes—
327C2×Dic61C22×D411yescharacteristic
328D244—26no—
329C4×D61—26no—
330C4×D61—26no—
331C4×D61—21no—
332C4×D61—23no—
333C4×D61—21no—
334C4×D61—23no—
335Dic122—26no—
336C8×C61C22×D412yes—
337C8×C61C22×D416yes—
338#92418—21no—
339#92418—23no—
340#60457—611nomaximal, Sylow
341C22×C61—23no—
342C22×C61—23no—
343C22×C61—41no—
344C22×C61—43no—
345C22×C61—41no—
346C22×C61—43no—
347C22×C61—43no—
348C22×C61—41no—
349C22×C61—166no—
350C22×C61C2×#12116yes—
351C22×C61C23×D411yescharacteristic
352C2×D61—21no—
353C2×D61—21no—
354C2×D61—23no—
355C2×D61—23no—
356C2×D61—23no—
357C2×D61—412no—
358C2×D61#57712yescomplemented
359C4×C61—41no—
360C4×C61—43no—
361C4×C61C2×#12116yes—
362C4×C61C23×D411yescharacteristic
363C4×C61C22×#4111yescharacteristic
364Dic61—23no—
365Dic61—21no—
366Dic61—43no—
367Dic61—41no—
368Dic61—43no—
369Dic61—41no—
370C2×#577D6111yescharacteristic, complemented
371C22×#131—611no—
372#3489—611no—
373#3488—611no—
374#3063—613no—
375#3062—613no—
376#3060—613no—
377#3057—613no—
378#3056—613no—
379#3055—613no—
380#3050—613no—
381C2×#465—613no—
382#2912—611no—
383#2898—611no—
384#2897—611no—
385C2×C61—26no—
386C2×C61—81no—
387C2×C61—83no—
388C2×C61C22×#12111yescharacteristic
389C2×C61C2×#57711yescharacteristic
390C2×C61#358411yescharacteristic
391D61—22no—
392D61—43no—
393C2×2−1+4C2×D6111yescharacteristic
394C2×H(5,𝔽2)C2×D6111yescharacteristic
395C22×#41—611no—
396#577—28no—
397C2×#137C2×D6113yescomplemented
398C2×AGL(1,ℤ/8)C2×D6113yescomplemented
399C2×#135C2×D6113yescomplemented
400C22×SD16C2×D6113yescomplemented
401C2×#131—611no—
402C2×#131—613no—
403C2×#131—613no—
404C2×#131—1228no—
405C2×#131C2×D6111yescharacteristic
406C22×M16—613no—
407C23×C8—613no—
408#550—1221no—
409D4×Q8—1221no—
410#548—1221no—
411#548—1221no—
412#547—1223no—
413#546—1223no—
414#546—1223no—
415D42—1223no—
416#537—613no—
417#537—613no—
418#536—613no—
419#535—613no—
420#525—613no—
421#525—613no—
422C2×C22⋊Q8—613no—
423C2×#121—613no—
424#520—611no—
425#520—611no—
426#470—616no—
427#469—616no—
428#468—616no—
429#468—616no—
430#467—613no—
431#467—613no—
432#466—613no—
433#466—613no—
434#465—613no—
435#465—616no—
436#465—616no—
437#465—616no—
438#465—611no—
439#465—613no—
440#465—613no—
441#428—613no—
442#428—613no—
443#427—613no—
444C2×#106—613no—
445#419—613no—
446#418—613no—
447#417—613no—
448#417—613no—
449#416—613no—
450#416—613no—
451C2×#103—613no—
452C2×#102—613no—
453C61#6045711yescharacteristic, complemented, Sylow
4542−1+4—24no—
4552−1+4—24no—
456H(5,𝔽2)—24no—
457H(5,𝔽2)—24no—
458C2×#41—21no—
459C2×#41—23no—
460C2×#41—611no—
461C2×#41—613no—
462C2×#41—613no—
463C2×#41—1224no—
464C2×#41—1224no—
465C2×#41C22×D6113yes—
466C2×#41C22×D6113yes—
467C2×#41C22×D6111yescharacteristic
468C22×Q8—21no—
469C22×Q8—611no—
470C22×Q8C22×D6113yes—
471C22×D4—23no—
472C22×D4—613no—
473C22×D4—1223no—
474C22×D4C22×D6113yes—
475C23×C4—613no—
476#137—212no—
477AGL(1,ℤ/8)—212no—
478#135—212no—
479C2×Q16C22×D6113yes—
480C2×SD16—212no—
481C2×SD16C22×D6113yes—
482C2×SD16C22×D6116yes—
483C2×SD16C22×D6111yescharacteristic
484C2×D8C22×D6113yes—
485#131—1224no—
486#131—12212no—
487#131—12212no—
488#131C22⋊D6118yescomplemented
489C2×M16—613no—
490C2×M16—616no—
491C2×M16—12212no—
492C2×M16C22×D6113yes—
493C22×C8—613no—
494C22×C8—611no—
495C22×C8—613no—
496C22×C8—613no—
497C22×C8—613no—
498C22×C8—12212no—
499C22×C8C22×D6113yes—
500C4⋊Q8—1223no—
501#127—1223no—
502#124—1223no—
503#124—1223no—
504#123—1226no—
505#123—1223no—
506#123—1223no—
507C22⋊Q8—613no—
508C22⋊Q8—616no—
509C22⋊Q8—611no—
510C22⋊Q8—613no—
511C22⋊Q8—613no—
512C22⋊Q8—1223no—
513C22⋊Q8—1223no—
514C22⋊Q8—1223no—
515C22⋊Q8—1223no—
516#121—613no—
517#121—616no—
518#121—611no—
519#121—613no—
520#121—613no—
521#121—1223no—
522#121—1223no—
523#121—1223no—
524#121—1223no—
525#121—1226no—
526#121—1226no—
527#120—1223no—
528#120—1223no—
529#120—1226no—
530C4×Q8—1221no—
531C4×Q8—1221no—
532C4×D4—1223no—
533C4×D4—1223no—
534C4×D4—1223no—
535C4×D4—1223no—
536C4×D4—1223no—
537C4×D4—1223no—
538#117—613no—
539#117—613no—
540C2×C4⋊C4—613no—
541C2×C4⋊C4—613no—
542C2×C4⋊C4—1223no—
543C2×C22⋊C4—1223no—
544C2×C22⋊C4—1223no—
545#107—613no—
546#107—613no—
547#106—613no—
548#106—616no—
549#106—611no—
550#103—613no—
551#103—616no—
552#103—611no—
553#103—613no—
554#103—613no—
555#102—613no—
556#102—616no—
557#102—611no—
558#102—613no—
559#102—613no—
560C24—23no—
561C24—613no—
562#41—26no—
563#41—26no—
564#41—26no—
565#41—26no—
566#41—44no—
567#41—412no—
568#41—1224no—
569#41—12212no—
570#41—1226no—
571#41—1226no—
572#41#1175822414yes—
573#41C2×C22⋊D6114yes—
574C2×Q8—23no—
575C2×Q8—26no—
576C2×Q8—26no—
577C2×Q8—44no—
578C2×Q8—613no—
579C2×Q8—1224no—
580C2×Q8D4×D6111yescharacteristic
581C2×Q8C23×D6113yes—
582C2×Q8C23×D6111yescharacteristic
583C2×D4—23no—
584C2×D4—23no—
585C2×D4—23no—
586C2×D4—26no—
587C2×D4—26no—
588C2×D4—412no—
589C2×D4—616no—
590C2×D4—613no—
591C2×D4—12212no—
592C2×D4—1223no—
593C2×D4—1223no—
594C2×D4—1226no—
595C2×D4—1221no—
596C2×D4—1223no—
597C2×D4—4886no—
598C2×D4D4×D6113yes—
599C2×D4C23×D6111yescharacteristic
600C2×D4C23×D6113yes—
601C22×C4—23no—
602C22×C4—23no—
603C22×C4—23no—
604C22×C4—613no—
605C22×C4—613no—
606C22×C4—613no—
607C22×C4—611no—
608C22×C4—613no—
609C22×C4—1226no—
610C22×C4—1226no—
611C22×C4—1223no—
612C22×C4—1223no—
613C22×C4C23×D6113yes—
614Q16—26no—
615SD16—26no—
616SD16—212no—
617SD16—22no—
618D8—26no—
619M16—1226no—
620M16—12212no—
621M16C2×C22⋊D61112yescomplemented
622C2×C8—611no—
623C2×C8—613no—
624C2×C8—1226no—
625C2×C8—1222no—
626C2×C8—1226no—
627C2×C8—1226no—
628C2×C8—1226no—
629C2×C8C2×C22⋊D61112yescomplemented
630C2×C8C23×D6111yescharacteristic
631C2×C8C23×D6113yes—
632C4⋊C4—613no—
633C4⋊C4—611no—
634C4⋊C4—613no—
635C4⋊C4—611no—
636C4⋊C4—1223no—
637C4⋊C4—1226no—
638C4⋊C4—1221no—
639C4⋊C4—1223no—
640C4⋊C4—1223no—
641C4⋊C4—1223no—
642C4⋊C4—1223no—
643C22⋊C4—1223no—
644C22⋊C4—1226no—
645C22⋊C4—1221no—
646C22⋊C4—1223no—
647C22⋊C4—1223no—
648C22⋊C4—1223no—
649C22⋊C4—1226no—
650C22⋊C4—1221no—
651C22⋊C4—1223no—
652C22⋊C4—1223no—
653C22⋊C4—1223no—
654C22⋊C4—1223no—
655C42—1223no—
656C42—1223no—
657C23—21no—
658C23—23no—
659C23—46no—
660C23—83no—
661C23—83no—
662C23—611no—
663C23—613no—
664C23—1226no—
665C23—1226no—
666C23—2443no—
667C23C2×D4×D6113yes—
668Q8—23no—
669Q8—21no—
670Q8—23no—
671Q8—21no—
672Q8—46no—
673Q8—1226no—
674Q8#1451974814yes—
675D4—21no—
676D4—23no—
677D4—23no—
678D4—21no—
679D4—46no—
680D4—46no—
681D4—46no—
682D4—12212no—
683D4—1226no—
684D4—4883no—
685D4—4883no—
686D4—4886no—
687D4—2442no—
688D4—2446no—
689D4#14519748112yes—
690C2×C4—21no—
691C2×C4—23no—
692C2×C4—46no—
693C2×C4—46no—
694C2×C4—46no—
695C2×C4—611no—
696C2×C4—613no—
697C2×C4—1226no—
698C2×C4—1226no—
699C2×C4—1226no—
700C2×C4—1221no—
701C2×C4—1223no—
702C2×C4—1221no—
703C2×C4—1223no—
704C2×C4—1221no—
705C2×C4—1221no—
706C2×C4—1223no—
707C2×C4—1223no—
708C2×C4—4883no—
709C2×C4—4883no—
710C2×C4C2×D4×D6113yes—
711C2×C4C22×C22⋊D6116yes—
712C2×C4C2×#1175822416yes—
713C2×C4C24×D6111yescharacteristic
714C8—1221no—
715C8—1223no—
716C8C22×C22⋊D6112yes—
717C8C22×C22⋊D6116yes—
718C22—23no—
719C22—23no—
720C22—43no—
721C22—41no—
722C22—41no—
723C22—43no—
724C22—41no—
725C22—43no—
726C22—166no—
727C22—612no—
728C22—1221no—
729C22—1221no—
730C22—1223no—
731C22—1223no—
732C22—1223no—
733C22—24412no—
734C22C2×#1451974816yes—
735C22C22×D4×D6111yescharacteristic
736C4—41no—
737C4—43no—
738C4—1221no—
739C4—1223no—
740C4—2443no—
741C4—2441no—
742C4—2443no—
743C4—2441no—
744C4C2×#1451974816yes—
745C4C23×C22⋊D6111yescharacteristic
746C4C22×#1175822411yescharacteristic
747C2—26no—
748C2—83no—
749C2—81no—
750C2—1222no—
751C2—2443no—
752C2C22×#1451974811yescharacteristic
753C2#577×D6111yescharacteristic
754C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#577C2
socleC22×C61C23×D4
hypercenterC2×#577D61
hypocenterC61#60457
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×#577

Complements

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

NH ≅ G/Ntype
1. C2×#131×D61C2semidirect
2. #21459492C2semidirect
3. #21459481C2semidirect
4. #21455504C2semidirect
5. #21455493C2semidirect
6. #21455477C2semidirect
7. #21455454C2semidirect
8. #21455443C2semidirect
9. #21455432C2semidirect
10. #21455396C2semidirect
11. C2×#16839988C2semidirect
12. #21454414C2semidirect
13. #21454352C2semidirect
14. #21454345C2semidirect
15. C2×C61×#577C2semidirect
17. C2×#14519785C22semidirect
19. C2×#14519783C22semidirect
21. C2×M16×D61C22semidirect
22. C22×C8×D61C22semidirect
32. #16840340C22semidirect
33. #16840336C22semidirect
36. #16840269C22semidirect
37. C2×#14519753C22semidirect
41. #16840017C22semidirect
42. #16840012C22semidirect
43. #16840005C22semidirect
44. #16840005C22semidirect
45. #16840000C22semidirect
46. #16840000C22semidirect
47. #16839995C22semidirect
48. #16839995C22semidirect
49. #16839988C22semidirect
50. #16839988C22semidirect
51. #16839988C22semidirect
52. #16839988C22semidirect
53. #16839988C22semidirect
54. #16839988C22semidirect
55. #16839988C22semidirect
56. #16839804C22semidirect
57. #16839804C22semidirect
58. #16839800C22semidirect
59. C2×#14519709C22semidirect
60. #16839771C22semidirect
61. #16839767C22semidirect
62. #16839763C22semidirect
63. #16839763C22semidirect
64. #16839758C22semidirect
65. #16839758C22semidirect
66. C2×#14519701C22semidirect
67. C2×#14519698C22semidirect
71. C2×#137×C61C22semidirect
72. C2×AGL(1,ℤ/8)×C61C22semidirect
73. C2×#135×C61C22semidirect
74. C22×SD16×C61C22semidirect
179. #131×C61D4semidirect
241. M16×C61C2×D4semidirect
242. C2×C8×C61C2×D4semidirect
358. C2×D61#577semidirect
370. C2×#577D61semidirect
397. C2×#137C2×D61semidirect
398. C2×AGL(1,ℤ/8)C2×D61semidirect
399. C2×#135C2×D61semidirect
400. C22×SD16C2×D61semidirect
453. C61#60457semidirect
488. #131C22⋊D61semidirect
621. M16C2×C22⋊D61semidirect
629. C2×C8C2×C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#131×D612
#214594922
#214594812
#214555042
#214554932
#214554772
#214554542
#214554432
#214554322
#214553962
C2×#168399882
#214544142
#214543522
#214543452
C2×C61×#5772
#6045761