Finite Group Databasebeta

← #30547356

Subgroups — #30547356

Order 15616.

2734 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×#16840574C211yesmaximal, characteristic, complemented
2#21459499C211yesmaximal, characteristic, complemented
3#21459488C211yesmaximal, characteristic, complemented
4#21455510C213yesmaximal, complemented
5#21455499C213yesmaximal, complemented
6#21455489C213yesmaximal, complemented
7#21455458C213yesmaximal, complemented
8#21455449C213yesmaximal, complemented
9#21455438C213yesmaximal, complemented
10#21455428C213yesmaximal, complemented
11C2×#16840008C213yesmaximal, complemented
12#21454419C211yesmaximal, characteristic, complemented
13#21454353C211yesmaximal, characteristic, complemented
14#21454346C211yesmaximal, characteristic, complemented
15C2×C61×#568C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840574—28no—
19C2×#14519810C2213yescomplemented
20C2×#14519805C2213yescomplemented
21C2×#14519799C2213yescomplemented
22C22×#11758190C2213yescomplemented
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#16840333C2213yescomplemented
34#16840326C2213yes—
35#16840273C2213yes—
36#16840273C2213yescomplemented
37C2×#14519756C2213yescomplemented
38C2×#14519751C2213yes—
39#16840245C2211yescharacteristic
40#16840245C2211yescharacteristic
41#16840020C2213yescomplemented
42#16840020C2213yescomplemented
43#16840015C2213yescomplemented
44#16840015C2213yescomplemented
45#16840008C2213yescomplemented
46#16840008C2216yescomplemented
47#16840008C2216yescomplemented
48#16840008C2216yescomplemented
49#16840008C2211yescharacteristic, complemented
50#16840008C2213yescomplemented
51#16840008C2213yescomplemented
52#16840003C2216yescomplemented
53#16839998C2216yescomplemented
54#16839991C2216yescomplemented
55#16839991C2216yescomplemented
56#16839804C2213yescomplemented
57#16839804C2213yescomplemented
58#16839800C2213yescomplemented
59C2×#14519711C2213yescomplemented
60#16839772C2213yescomplemented
61#16839768C2213yescomplemented
62#16839764C2213yescomplemented
63#16839764C2213yescomplemented
64#16839759C2213yescomplemented
65#16839759C2213yescomplemented
66C2×#14519702C2213yescomplemented
67C2×#14519699C2213yescomplemented
68C22×#41×C61C2211yescharacteristic
69C61×#568—28no—
70C2×#131×C61C2211yescharacteristic
71C2×#131×C61C2211yescharacteristic
72C2×#131×C61C2213yescomplemented
73C2×#131×C61C2213yescomplemented
74C22×M16×C61C2213yescomplemented
75C22×M16×C61C2213yescomplemented
76#14519824—24no—
77#14519824—24no—
78#14519823—24no—
79#14519823—24no—
80C2×#11758226—21no—
81C2×#11758222C2313yes—
82C2×#11758222C2313yes—
83C2×#11758224—23no—
84C22×Dic122C2313yes—
85C2×Q8×D61—21no—
86C22×D244C2313yes—
87C22×C22⋊D61—23no—
88C2×D4×D61—23no—
89#14519810—212no—
90#14519805—212no—
91#14519799—212no—
92C2×Dic244C2313yes—
93C2×#11758190—212no—
94C2×#11758190C2316yes—
95C2×#11758190C2313yes—
96C2×#11758190C2311yescharacteristic
97C2×D488C2313yes—
98#14519775—23no—
99#14519773—23no—
100#14519766—23no—
101#14519764—23no—
102#14519760—23no—
103#14519760—23no—
104#14519758—26no—
105#14519756—23no—
106#14519756—23no—
107#14519756C2313yes—
108#14519756C2316yes—
109#14519756C2313yes—
110#14519756C2313yes—
111#14519756C2311yescharacteristic
112#14519753—23no—
113#14519753—23no—
114#14519751—23no—
115#14519751—23no—
116#14519751C2313yes—
117#14519751C2316yes—
118#14519751C2313yes—
119#14519751C2313yes—
120#14519751C2311yescharacteristic
121#14519749—26no—
122#14519749—26no—
123#14519748—23no—
124#14519748—23no—
125#14519746—23no—
126#14519746—23no—
127#14519745—26no—
128Q8×Dic61—21no—
129Q8×Dic61—21no—
130D4×Dic61—23no—
131D4×Dic61—23no—
132C4×C22⋊D61—23no—
133C4×C22⋊D61—23no—
134C4×C22⋊D61—23no—
135C4×C22⋊D61—23no—
136#14519736C2313yes—
137#14519736C2313yes—
138C2×C4⋊Dic61C2313yes—
139C2×C4⋊Dic61C2313yes—
140C2×#11758196—23no—
141C2×C22⋊Dic61—23no—
142C2×#11758198—23no—
143#14519711C2316yes—
144#14519711C2313yes—
145#14519711C2311yescharacteristic
146#14519709C2313yes—
147#14519709C2313yes—
148#14519702C2313yes—
149#14519702C2316yes—
150#14519702C2313yes—
151#14519702C2313yes—
152#14519702C2311yescharacteristic
153#14519699C2313yes—
154#14519699C2316yes—
155#14519699C2313yes—
156#14519699C2313yes—
157#14519699C2311yescharacteristic
158C2×#41×C61—24no—
159C2×#41×C61—24no—
160C2×#41×C61D413yes—
161C2×#41×C61D411yescharacteristic
162C2×#41×C61C2313yes—
163C2×#41×C61C2311yescharacteristic
164C22×Q8×C61D411yescharacteristic
165C22×D4×C61D413yes—
166C23×C4×C61C2313yes—
167#131×C61—24no—
168#131×C61—212no—
169#131×C61—212no—
170#131×C61D418yescomplemented
171C2×M16×C61—212no—
172C2×M16×C61—212no—
173C2×M16×C61C2311yescharacteristic
174C2×M16×C61C2313yes—
175C2×M16×C61C2313yes—
176C2×M16×C61C2313yes—
177C2×M16×C61C2313yes—
178C2×M16×C61C2313yes—
179C22×C8×C61C2313yes—
180C22×C8×C61C2316yes—
181C22×C8×C61C2313yes—
182C24×C61C2×D413yes—
183C23×D61—23no—
184#41×C61—24no—
185#41×C61—212no—
186#41×C61—26no—
187#41×C61—26no—
188#41×C61C2×D414yes—
189#41×C61#4114yes—
190C2×Q8×C61—24no—
191C2×Q8×C61C2×D413yes—
192C2×Q8×C61C2×D411yescharacteristic
193C2×D4×C61—212no—
194C2×D4×C61C2×D416yes—
195C2×D4×C61C2×D413yes—
196C2×D4×C61C2×D413yes—
197C22×C4×C61—26no—
198C22×C4×C61—26no—
199C22×C4×C61C2×D413yes—
200C22×C4×C61C2×D413yes—
201C22×C4×C61C2×D413yes—
202C22×C4×C61C2413yes—
203C22×C4×C61C2411yescharacteristic
204C22×C4×C61C2413yes—
205C2×C22⋊D61—23no—
206C2×C22⋊D61—23no—
207C2×C22⋊D61—23no—
208C2×C22⋊D61—21no—
209C2×C22⋊D61—26no—
210C2×C22⋊D61—23no—
211C2×C22⋊D61—23no—
212C2×C22⋊D61—86no—
213C22×Dic61—23no—
214C22×Dic61—23no—
215C22×Dic61—23no—
216#11758226—44no—
217Q8×D61—44no—
218#11758224—412no—
219D4×D61—412no—
220#11758222—26no—
221#11758222—26no—
222#11758222—26no—
223#11758222—26no—
224C2×D244—26no—
225C2×D244—26no—
226C2×D244—23no—
227C2×D244C2413yes—
228C2×D244C2411yescharacteristic
229C2×C4×D61—23no—
230C2×C4×D61—23no—
231C2×Dic122—26no—
232C2×Dic122—26no—
233C2×Dic122—23no—
234C2×Dic122C2413yes—
235C2×Dic122C2411yescharacteristic
236M16×C61—26no—
237M16×C61—22no—
238M16×C61—26no—
239M16×C61—26no—
240M16×C61—26no—
241M16×C61C2×D4112yescomplemented
242C2×C8×C61—26no—
243C2×C8×C61—212no—
244C2×C8×C61C2×D4112yescomplemented
245C2×C8×C61C2411yescharacteristic
246C2×C8×C61C2413yes—
247C2×C8×C61C2413yes—
248C2×C8×C61C2411yescharacteristic
249C22⋊Dic61—23no—
250C22⋊Dic61—26no—
251C22⋊Dic61—23no—
252C22⋊Dic61—23no—
253C22⋊Dic61—21no—
254C22⋊Dic61—23no—
255C22⋊Dic61—23no—
256#11758198—23no—
257#11758198—26no—
258#11758198—21no—
259#11758198—23no—
260#11758198—23no—
261C4⋊Dic61—23no—
262C4⋊Dic61—23no—
263C4⋊Dic61C2411yescharacteristic
264C4⋊Dic61C2413yes—
265C4⋊Dic61C2411yescharacteristic
266C4⋊Dic61C2413yes—
267#11758196—23no—
268#11758196—26no—
269#11758196—21no—
270#11758196—23no—
271#11758196—23no—
272C4×Dic61—23no—
273C4×Dic61—23no—
274Dic244—26no—
275D488—26no—
276#11758190—212no—
277#11758190—26no—
278#11758190—22no—
279C23×C61—26no—
280C23×C61—43no—
281C23×C61—43no—
282C23×C61C22×D411yescharacteristic
283C23×C61C22×D413yes—
284C23×C61C22×D413yes—
285C22×D61—21no—
286C22×D61—23no—
287C22×D61—46no—
288C22×D61—83no—
289C22×D61—83no—
290Q8×C61—26no—
291Q8×C61#12114yes—
292D4×C61—212no—
293D4×C61—26no—
294D4×C61#121112yes—
295C2×C4×C61—26no—
296C2×C4×C61—26no—
297C2×C4×C61—26no—
298C2×C4×C61—23no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—23no—
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C22×D413yes—
304C2×C4×C61C22×D413yes—
305C2×C4×C61C22×D416yes—
306C2×C4×C61C2×#4116yes—
307C2×C4×C61C2511yescharacteristic
308C22⋊D61—42no—
309C22⋊D61—46no—
310C22⋊D61—46no—
311C22⋊D61—46no—
312C22⋊D61—83no—
313C22⋊D61—83no—
314C22⋊D61—86no—
315C2×Dic61—21no—
316C2×Dic61—21no—
317C2×Dic61—23no—
318C2×Dic61—23no—
319C2×Dic61—23no—
320C2×Dic61—21no—
321C2×Dic61—46no—
322C2×Dic61—83no—
323C2×Dic61—83no—
324D244—23no—
325D244—21no—
326D244—23no—
327D244—21no—
328D244—46no—
329C4×D61—46no—
330C4×D61—46no—
331Dic122—23no—
332Dic122—21no—
333Dic122—23no—
334Dic122—21no—
335Dic122—46no—
336C8×C61—21no—
337C8×C61—23no—
338C8×C61C22×D412yes—
339C8×C61C22×D416yes—
340#60460—611nomaximal, Sylow
341C22×C61—23no—
342C22×C61—23no—
343C22×C61—21no—
344C22×C61—23no—
345C22×C61—21no—
346C22×C61—23no—
347C22×C61—21no—
348C22×C61—23no—
349C22×C61—86no—
350C22×C61C2×#12116yes—
351C22×C61C23×D411yescharacteristic
352C2×D61—43no—
353C2×D61—41no—
354C2×D61—41no—
355C2×D61—43no—
356C2×D61—41no—
357C2×D61—43no—
358C2×D61—166no—
359C4×C61—21no—
360C4×C61—23no—
361C4×C61C2×#12116yes—
362C4×C61C23×D411yescharacteristic
363C4×C61C22×#4111yescharacteristic
364Dic61—43no—
365Dic61—43no—
366Dic61—41no—
367Dic61—41no—
368Dic61—43no—
369Dic61—41no—
370C2×#577—611no—
371C2×#568D6111yescharacteristic, complemented
372#3489—611no—
373#3488—611no—
374#3063—613no—
375#3062—613no—
376#3061—613no—
377#3057—613no—
378#3056—613no—
379#3055—613no—
380#3054—613no—
381C2×#468—613no—
382#2913—611no—
383#2898—611no—
384#2897—611no—
385C2×C61—26no—
386C2×C61—43no—
387C2×C61—41no—
388C2×C61C22×#12111yescharacteristic
389C2×C61#358511yescharacteristic
390C2×C61#358611yescharacteristic
391D61—81no—
392D61—83no—
393C2×2−1+4—611no—
394C2×H(5,𝔽2)—611no—
395C22×#41C2×D6111yescharacteristic
396#577—1228no—
397C2×#137—613no—
398C2×AGL(1,ℤ/8)—613no—
399C2×#135—613no—
400C22×SD16—613no—
401#568—28no—
402C2×#131C2×D6111yescharacteristic
403C2×#131C2×D6111yescharacteristic
404C2×#131C2×D6113yescomplemented
405C2×#131C2×D6113yescomplemented
406C22×M16C2×D6113yescomplemented
407C22×M16C2×D6113yescomplemented
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—613no—
427#470—613no—
428#469—613no—
429#469—613no—
430#468—613no—
431#468—616no—
432#468—616no—
433#468—616no—
434#468—611no—
435#468—613no—
436#468—613no—
437#467—616no—
438#466—616no—
439#465—616no—
440#465—616no—
441#428—613no—
442#428—613no—
443#427—613no—
444C2×#107—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#6046011yescharacteristic, complemented, Sylow
4542−1+4—1224no—
4552−1+4—1224no—
456H(5,𝔽2)—1224no—
457H(5,𝔽2)—1224no—
458C2×#41—24no—
459C2×#41—24no—
460C2×#41—613no—
461C2×#41—613no—
462C2×#41—1221no—
463C2×#41—1223no—
464C2×#41D24413yes—
465C2×#41D24411yescharacteristic
466C2×#41C22×D6113yes—
467C2×#41C22×D6111yescharacteristic
468C22×Q8—613no—
469C22×Q8—1221no—
470C22×Q8D24411yescharacteristic
471C22×D4—613no—
472C22×D4—1223no—
473C22×D4—1223no—
474C22×D4D24413yes—
475C23×C4C22×D6113yes—
476#137—12212no—
477AGL(1,ℤ/8)—12212no—
478#135—12212no—
479C2×Q16—613no—
480C2×SD16—613no—
481C2×SD16—616no—
482C2×SD16—611no—
483C2×SD16—12212no—
484C2×D8—613no—
485#131—24no—
486#131—212no—
487#131—212no—
488#131C22⋊D6118yescomplemented
489C2×M16—212no—
490C2×M16—212no—
491C2×M16C22×D6111yescharacteristic
492C2×M16C22×D6113yes—
493C2×M16C22×D6113yes—
494C2×M16C22×D6113yes—
495C2×M16C22×D6113yes—
496C2×M16C22×D6113yes—
497C22×C8C22×D6113yes—
498C22×C8C22×D6116yes—
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—1226no—
522#121—1223no—
523#121—1226no—
524#121—1223no—
525#121—1223no—
526#121—1223no—
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—616no—
547#107—611no—
548#106—613no—
549#106—613no—
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—1223no—
561C24C2×D24413yes—
562#41—24no—
563#41—212no—
564#41—26no—
565#41—26no—
566#41—1226no—
567#41—1226no—
568#41—1226no—
569#41—1226no—
570#41—2444no—
571#41—24412no—
572#41#1175822214yes—
573#41C2×C22⋊D6114yes—
574C2×Q8—24no—
575C2×Q8—613no—
576C2×Q8—611no—
577C2×Q8—1223no—
578C2×Q8—1226no—
579C2×Q8—1226no—
580C2×Q8—2444no—
581C2×Q8C2×D24413yes—
582C2×Q8C2×D24411yescharacteristic
583C2×D4—212no—
584C2×D4—611no—
585C2×D4—613no—
586C2×D4—1223no—
587C2×D4—1223no—
588C2×D4—1226no—
589C2×D4—1221no—
590C2×D4—1223no—
591C2×D4—1223no—
592C2×D4—1223no—
593C2×D4—1226no—
594C2×D4—1223no—
595C2×D4—1226no—
596C2×D4—4886no—
597C2×D4—24412no—
598C2×D4C2×D24416yes—
599C2×D4C2×D24413yes—
600C2×D4C2×D24413yes—
601C22×C4—26no—
602C22×C4—26no—
603C22×C4—1223no—
604C22×C4—1223no—
605C22×C4—1223no—
606C22×C4—1223no—
607C22×C4—1223no—
608C22×C4C2×D24413yes—
609C22×C4C2×D24413yes—
610C22×C4C2×D24413yes—
611C22×C4C23×D6113yes—
612C22×C4C23×D6111yescharacteristic
613C22×C4C23×D6113yes—
614Q16—1226no—
615SD16—1226no—
616SD16—12212no—
617SD16—1222no—
618D8—1226no—
619M16—26no—
620M16—26no—
621M16—22no—
622M16—26no—
623M16—26no—
624M16C2×C22⋊D61112yescomplemented
625C2×C8—26no—
626C2×C8—212no—
627C2×C8C2×C22⋊D61112yescomplemented
628C2×C8C23×D6111yescharacteristic
629C2×C8C23×D6113yes—
630C2×C8C23×D6113yes—
631C2×C8C23×D6111yescharacteristic
632C4⋊C4—611no—
633C4⋊C4—613no—
634C4⋊C4—611no—
635C4⋊C4—613no—
636C4⋊C4—1223no—
637C4⋊C4—1223no—
638C4⋊C4—1223no—
639C4⋊C4—1226no—
640C4⋊C4—1221no—
641C4⋊C4—1223no—
642C4⋊C4—1223no—
643C22⋊C4—1223no—
644C22⋊C4—1226no—
645C22⋊C4—1223no—
646C22⋊C4—1223no—
647C22⋊C4—1221no—
648C22⋊C4—1223no—
649C22⋊C4—1223no—
650C22⋊C4—1223no—
651C22⋊C4—1226no—
652C22⋊C4—1221no—
653C22⋊C4—1223no—
654C22⋊C4—1223no—
655C42—1223no—
656C42—1223no—
657C23—26no—
658C23—43no—
659C23—43no—
660C23—1221no—
661C23—1223no—
662C23—4883no—
663C23—4883no—
664C23—2446no—
665C23C22×D24411yescharacteristic
666C23C22×D24413yes—
667C23C22×D24413yes—
668Q8—26no—
669Q8—1223no—
670Q8—1221no—
671Q8—1223no—
672Q8—1221no—
673Q8—2446no—
674Q8#1451975114yes—
675D4—212no—
676D4—26no—
677D4—1221no—
678D4—1223no—
679D4—1223no—
680D4—1221no—
681D4—4883no—
682D4—4883no—
683D4—4886no—
684D4—2442no—
685D4—2446no—
686D4—2446no—
687D4—2446no—
688D4—2446no—
689D4#14519751112yes—
690C2×C4—26no—
691C2×C4—26no—
692C2×C4—26no—
693C2×C4—23no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—23no—
697C2×C4—1221no—
698C2×C4—1221no—
699C2×C4—1223no—
700C2×C4—1223no—
701C2×C4—1221no—
702C2×C4—1223no—
703C2×C4—4883no—
704C2×C4—4883no—
705C2×C4—2446no—
706C2×C4—2446no—
707C2×C4—2446no—
708C2×C4C22×C22⋊D6116yes—
709C2×C4C22×D24411yescharacteristic
710C2×C4C22×D24413yes—
711C2×C4C22×D24413yes—
712C2×C4C2×#1175822216yes—
713C2×C4C24×D6111yescharacteristic
714C8—21no—
715C8—23no—
716C8C22×C22⋊D6116yes—
717C8C22×C22⋊D6112yes—
718C22—23no—
719C22—23no—
720C22—21no—
721C22—23no—
722C22—23no—
723C22—21no—
724C22—23no—
725C22—21no—
726C22—86no—
727C22—9766no—
728C22—2441no—
729C22—2443no—
730C22—2441no—
731C22—2443no—
732C22—2443no—
733C22—2441no—
734C22C2×#1451975116yes—
735C22C23×D24411yescharacteristic
736C4—21no—
737C4—23no—
738C4—2441no—
739C4—2443no—
740C4—2443no—
741C4—2443no—
742C4—2441no—
743C4—2441no—
744C4C2×#1451975116yes—
745C4C23×C22⋊D6111yescharacteristic
746C4C22×#1175822211yescharacteristic
747C2—26no—
748C2—41no—
749C2—43no—
750C2—4883no—
751C2—4881no—
752C2C22×#1451975111yescharacteristic
753C2#2146060011yescharacteristic
754C2#2146060711yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#568C2
socleC22×C61C23×D4
hypercenterC2×#568D61
hypocenterC61#60460
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×#41 ◁ C2×#568

Complements

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

NH ≅ G/Ntype
1. C2×#16840574C2semidirect
2. #21459499C2semidirect
3. #21459488C2semidirect
4. #21455510C2semidirect
5. #21455499C2semidirect
6. #21455489C2semidirect
7. #21455458C2semidirect
8. #21455449C2semidirect
9. #21455438C2semidirect
10. #21455428C2semidirect
11. C2×#16840008C2semidirect
12. #21454419C2semidirect
13. #21454353C2semidirect
14. #21454346C2semidirect
15. C2×C61×#568C2semidirect
19. C2×#14519810C22semidirect
20. C2×#14519805C22semidirect
21. C2×#14519799C22semidirect
22. C22×#11758190C22semidirect
32. #16840340C22semidirect
33. #16840333C22semidirect
36. #16840273C22semidirect
37. C2×#14519756C22semidirect
41. #16840020C22semidirect
42. #16840020C22semidirect
43. #16840015C22semidirect
44. #16840015C22semidirect
45. #16840008C22semidirect
46. #16840008C22semidirect
47. #16840008C22semidirect
48. #16840008C22semidirect
49. #16840008C22semidirect
50. #16840008C22semidirect
51. #16840008C22semidirect
52. #16840003C22semidirect
53. #16839998C22semidirect
54. #16839991C22semidirect
55. #16839991C22semidirect
56. #16839804C22semidirect
57. #16839804C22semidirect
58. #16839800C22semidirect
59. C2×#14519711C22semidirect
60. #16839772C22semidirect
61. #16839768C22semidirect
62. #16839764C22semidirect
63. #16839764C22semidirect
64. #16839759C22semidirect
65. #16839759C22semidirect
66. C2×#14519702C22semidirect
67. C2×#14519699C22semidirect
72. C2×#131×C61C22semidirect
73. C2×#131×C61C22semidirect
74. C22×M16×C61C22semidirect
75. C22×M16×C61C22semidirect
170. #131×C61D4semidirect
241. M16×C61C2×D4semidirect
244. C2×C8×C61C2×D4semidirect
371. C2×#568D61semidirect
404. C2×#131C2×D61semidirect
405. C2×#131C2×D61semidirect
406. C22×M16C2×D61semidirect
407. C22×M16C2×D61semidirect
453. C61#60460semidirect
488. #131C22⋊D61semidirect
624. M16C2×C22⋊D61semidirect
627. 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×#168405742
#214594992
#214594882
#214555102
#214554992
#214554892
#214554582
#214554492
#214554382
#214554282
C2×#168400082
#214544192
#214543532
#214543462
C2×C61×#5682
#6046061