Finite Group Databasebeta

← C4×#14583711 #25960834

Subgroups — C4×#14583711 #25960834

Order 11008.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583711C211yesmaximal, characteristic
2C4×#13063372C211yesmaximal, characteristic, complemented
3C4×#13063371C211yesmaximal, characteristic, complemented
4#19143480C213yesmaximal, complemented
5#19143456C213yesmaximal, complemented
6#19143440C213yesmaximal, complemented
7#19143429C213yesmaximal, complemented
8C4×#13063358C213yesmaximal, complemented
9C4×#13063353C213yesmaximal, complemented
10C4×#13063347C213yesmaximal, complemented
11C2×C4×#10621873C213yesmaximal, complemented
12#19143190C211yesmaximal, characteristic, complemented
13#19143129C211yesmaximal, characteristic, complemented
14#19143122C211yesmaximal, characteristic, complemented
15C4×#131×C43C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17C2×#13063371C2211yescharacteristic
18#14583711C4116yesdirect product factor
19C2×#13063358C2213yes—
20C2×#13063353C2213yes—
21C2×#13063347C2213yes—
22C22×#10621873C2213yes—
23#14583382C2211yescharacteristic
24#14583382C2211yescharacteristic
25#14583381—21no—
26#14583379C2213yes—
27#14583379C2213yescomplemented
28#14583378—23no—
29#14583376C2213yescomplemented
30#14583375—21no—
31#14583373C2213yes—
32#14583371—23no—
33C4×#10621902—21no—
34C4×#10621898C2213yes—
35C4×#10621898C2213yescomplemented
36C4×#10621900—23no—
37C2×C4×Dic86C2213yescomplemented
38C4×Q8×D43—21no—
39C2×C4×D172C2213yes—
40C4×D4×D43—23no—
41#14583012C2216yescomplemented
42#14583007C2216yescomplemented
43#14583001C2216yescomplemented
44#14583001C2216yescomplemented
45C4×Dic172C2213yescomplemented
46C4×Dic172C2213yescomplemented
47C4×#10621873C2216yescomplemented
48C4×#10621873C2213yescomplemented
49C4×#10621873C2216yescomplemented
50C4×#10621873C2213yescomplemented
51C4×#10621873C2213yescomplemented
52C4×#10621873C2216yescomplemented
53C4×#10621873C2211yescharacteristic, complemented
54C4×D344C2213yescomplemented
55C4×D344C2213yescomplemented
56#14582941C2213yescomplemented
57#14582941C2213yescomplemented
58#14582937C2213yescomplemented
59C2×#13063257C2213yescomplemented
60#14582909C2213yescomplemented
61#14582905C2213yes—
62#14582901C2213yes—
63#14582901C2213yescomplemented
64#14582896C2213yes—
65#14582896C2213yescomplemented
66C2×#13063250C2213yescomplemented
67C2×#13063247C2213yes—
68C2×#131×C43C2211yescharacteristic
69C2×#131×C43C2211yescharacteristic
70C4×#41×C43C2211yescharacteristic
71C43×#405C2213yescomplemented
72C43×#405C2213yescomplemented
73C4×M16×C43C2213yescomplemented
74C2×C4×C8×C43C2213yescomplemented
75#13063372—24no—
76#13063372C2×C418yescomplemented
77#13063371—24no—
78#13063371C2×C418yescomplemented
79C2×#10621902—21no—
80C2×#10621898C2313yes—
81C2×#10621898C2313yes—
82C2×#10621900—23no—
83C22×Dic86C2313yes—
84C2×Q8×D43—21no—
85C22×D172C2313yes—
86C2×D4×D43—23no—
87C22×C4×D43—23no—
88#13063358C2×C4124yescomplemented
89#13063353C2×C4124yescomplemented
90#13063347C2×C4124yescomplemented
91C2×Dic172C2313yes—
92C2×#10621873C2×C4124yescomplemented
93C2×#10621873C2313yes—
94C2×#10621873C2316yes—
95C2×#10621873C2311yescharacteristic
96C2×D344C2313yes—
97Q8×Dic43—21no—
98Q8×Dic43—21no—
99C4×Dic86—23no—
100C4×Dic86—23no—
101C4×Dic86C2313yes—
102C4×Dic86C2316yes—
103C4×Dic86C2311yescharacteristic
104C4×Dic86C2313yes—
105C4×Dic86C2313yes—
106#13063290—23no—
107#13063290—23no—
108C4×D172—23no—
109C4×D172—23no—
110C4×D172C2313yes—
111C4×D172C2316yes—
112C4×D172C2313yes—
113C4×D172C2311yescharacteristic
114C4×D172C2313yes—
115D4×Dic43—23no—
116D4×Dic43—23no—
117#13063287—23no—
118#13063287—23no—
119C4×C22⋊D43—23no—
120C4×C22⋊D43—23no—
121C4×C22⋊D43—23no—
122C4×C22⋊D43—23no—
123(C22⋊D43)⋊C4—26no—
124(C22⋊D43)⋊C4—26no—
125#13063284C2313yes—
126#13063284C2313yes—
127#13063283—23no—
128#13063283—23no—
129#13063282—23no—
130#13063282—23no—
131#13063281—26no—
132C2×C4⋊Dic43C2313yes—
133C2×C4⋊Dic43C2313yes—
134C2×Dic43⋊C4—23no—
135C4⋊C4×D43—23no—
136C4⋊C4×D43—23no—
137C2×(C2×D43)⋊C4—23no—
138C22⋊C4×D43—26no—
139C2×C4×Dic43—23no—
140C42×D43—23no—
141C42×D43—23no—
142#13063259C2313yes—
143#13063259C2313yes—
144#13063257C2313yes—
145#13063257C2316yes—
146#13063257C2311yescharacteristic
147#13063250C2313yes—
148#13063250C2316yes—
149#13063250C2311yescharacteristic
150#13063250C2313yes—
151#13063250C2313yes—
152#13063247C2313yes—
153#13063247C2316yes—
154#13063247C2313yes—
155#13063247C2311yescharacteristic
156#13063247C2313yes—
157C2×#41×C43C2311yescharacteristic
158#131×C43—24no—
159#131×C43C2×C418yescomplemented
160C2×M16×C43C2313yes—
161C2×M16×C43C2313yes—
162C22×C8×C43C2313yes—
163C22×C8×C43C2313yes—
164C4×Q8×C43D411yescharacteristic
165C4×Q8×C43D411yescharacteristic
166C4×D4×C43D413yes—
167C4×D4×C43D413yes—
168#117×C43C2313yes—
169C2×C42×C43C2313yes—
170#97×C43C2316yes—
171C4×C8×C43C2311yescharacteristic
172C4×C8×C43C2313yes—
173C4×C8×C43C2313yes—
174C4×C8×C43C2313yes—
175C23×D43—23no—
176#41×C43C22×C414yes—
177#41×C43#4114yes—
178C2×Q8×C43C2×D411yescharacteristic
179C2×D4×C43C2×D413yes—
180C22×C4×C43C2×D413yes—
181C22×C4×C43C2×D413yes—
182C22×C4×C43C2413yes—
183C2×C22⋊D43—23no—
184C2×C22⋊D43—23no—
185C22×Dic43—23no—
186C22×Dic43—23no—
187C22×Dic43—23no—
188#10621902—28no—
189Q8×D43—28no—
190#10621900—224no—
191D4×D43—224no—
192#10621898—26no—
193#10621898—26no—
194#10621898C22×C4112yes—
195#10621898C22×C4112yescomplemented
196C2×D172—23no—
197C2×D172—26no—
198C2×D172C22×C4112yes—
199C2×D172C2411yescharacteristic
200C2×D172C2413yes—
201C2×C4×D43—23no—
202C2×C4×D43—23no—
203C2×C4×D43—21no—
204C2×C4×D43—23no—
205C2×C4×D43—23no—
206C2×C4×D43—23no—
207C2×C4×D43—26no—
208C2×C4×D43—86no—
209C2×Dic86—23no—
210C2×Dic86—26no—
211C2×Dic86C22×C4112yescomplemented
212C2×Dic86C2413yes—
213C2×Dic86C2411yescharacteristic
214M16×C43—26no—
215M16×C43C22×C4112yescomplemented
216C2×C8×C43—26no—
217C2×C8×C43C22×C4112yescomplemented
218C2×C8×C43C2411yescharacteristic
219C2×C8×C43C2413yes—
220C2×C8×C43C2411yescharacteristic
221C2×C8×C43C2413yes—
222C4⋊C4×C43C2×D413yes—
223C4⋊C4×C43C2×D413yes—
224C22⋊C4×C43C2×D416yes—
225C42×C43C2×D413yes—
226C42×C43C2×D413yes—
227C42×C43C2411yescharacteristic
228C42×C43C2413yes—
229C22⋊Dic43—23no—
230C22⋊Dic43—23no—
231(C2×D43)⋊C4—23no—
232(C2×D43)⋊C4—26no—
233(C2×D43)⋊C4—23no—
234(C2×D43)⋊C4—21no—
235(C2×D43)⋊C4—23no—
236C4⋊Dic43—23no—
237C4⋊Dic43—23no—
238C4⋊Dic43C2413yes—
239C4⋊Dic43C2411yescharacteristic
240C4⋊Dic43C2413yes—
241C4⋊Dic43C2411yescharacteristic
242Dic43⋊C4—23no—
243Dic43⋊C4—26no—
244Dic43⋊C4—23no—
245Dic43⋊C4—23no—
246Dic43⋊C4—21no—
247C4×Dic43—21no—
248C4×Dic43—23no—
249C4×Dic43—23no—
250C4×Dic43—23no—
251C4×Dic43—23no—
252C4×Dic43—23no—
253C4×Dic43—26no—
254Dic172C22×C4112yescomplemented
255D344C22×C4112yescomplemented
256#10621873C22×C4112yescomplemented
257#10621873C22×C4124yescomplemented
258#10621873C22×C414yescomplemented
259C23×C43C22×D413yes—
260C22×D43—21no—
261C22×D43—23no—
262C22×D43—212no—
263C22×D43—83no—
264C22×D43—83no—
265Q8×C43C4×D414yes—
266D4×C43C4×D4112yes—
267C2×C4×C43—26no—
268C2×C4×C43—43no—
269C2×C4×C43C23×C416yes—
270C2×C4×C43C22×D413yes—
271C2×C4×C43C22×D413yes—
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C22×D413yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4116yes—
276C2×C4×C43C2511yescharacteristic
277C22⋊D43—212no—
278C22⋊D43—212no—
279C2×Dic43—212no—
280C2×Dic43—23no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—23no—
284C2×Dic43—21no—
285C2×Dic43—23no—
286C2×Dic43—83no—
287C2×Dic43—83no—
288D172—212no—
289D172—23no—
290D172—21no—
291D172C23×C416yes—
292D172C23×C412yes—
293C4×D43—212no—
294C4×D43—212no—
295C4×D43—42no—
296C4×D43—46no—
297C4×D43—83no—
298C4×D43—83no—
299C4×D43—86no—
300Dic86—212no—
301Dic86—23no—
302Dic86—21no—
303Dic86C23×C416yes—
304Dic86C23×C412yes—
305C8×C43—21no—
306C8×C43—23no—
307C8×C43C23×C412yes—
308C8×C43C23×C416yes—
309C4×#577—431nomaximal, Sylow
310C22×C43—23no—
311C22×C43—23no—
312C22×C43C2×C4×D416yes—
313C22×C43C23×D411yescharacteristic
314C2×D43—26no—
315C2×D43—22no—
316C2×D43—43no—
317C2×D43—41no—
318C2×D43—43no—
319C2×D43—41no—
320C2×D43—812no—
321C4×C43—23no—
322C4×C43—21no—
323C4×C43—23no—
324C4×C43C2×C4×D416yes—
325C4×C43#57712yescomplemented
326C4×C43C24×C411yescharacteristic
327C4×C43C22×#4111yescharacteristic
328Dic43—26no—
329Dic43—22no—
330Dic43—41no—
331Dic43—43no—
332Dic43—43no—
333Dic43—41no—
334C2×#577—431no—
335C4×2−1+4—431no—
336C4×H(5,𝔽2)—431no—
337#2952—433no—
338#2949—433no—
339#2947—433no—
340#2946—433no—
341C4×#137—433no—
342C4×AGL(1,ℤ/8)—433no—
343C4×#135—433no—
344C2×C4×SD16—433no—
345#2912—431no—
346#2898—431no—
347#2897—431no—
348C4×#131D4311yescharacteristic, complemented
349C2×C43—26no—
350C2×C43C22×C4×D411yescharacteristic
351C2×C43C2×#57711yescharacteristic
352C2×C43#358411yescharacteristic
353D43—42no—
354D43—46no—
355C2×2−1+4—431no—
356C2×H(5,𝔽2)—431no—
357#577—4316no—
358C2×#137—433no—
359C2×AGL(1,ℤ/8)—433no—
360C2×#135—433no—
361C22×SD16—433no—
362C2×#131C2×D4311yescharacteristic
363C2×#131C2×D4311yescharacteristic
364#520—431no—
365#520—431no—
366#520—433no—
367#520—433no—
368#520—861no—
369#520—863no—
370#519—433no—
371#519—861no—
372#518—433no—
373#518—863no—
374C4×#41—433no—
375C4×#41—433no—
376C4×#41—861no—
377C4×#41—863no—
378C4×#41C2×D4311yescharacteristic
379C2×C4×Q8—433no—
380C2×C4×Q8—861no—
381C2×C4×D4—433no—
382C2×C4×D4—863no—
383#442—436no—
384#441—436no—
385#440—436no—
386#440—436no—
387C4×Q16—433no—
388C4×Q16—433no—
389C4×SD16—433no—
390C4×SD16—436no—
391C4×SD16—436no—
392C4×SD16—436no—
393C4×SD16—431no—
394C4×SD16—433no—
395C4×SD16—433no—
396C4×D8—433no—
397C4×D8—433no—
398#428—433no—
399#428—433no—
400#427—433no—
401C2×#106—433no—
402#419—433no—
403#418—433no—
404#417—433no—
405#417—433no—
406#416—433no—
407#416—433no—
408C2×#103—433no—
409C2×#102—433no—
410#405C2×D4313yescomplemented
411#405C2×D4313yescomplemented
412C4×M16C2×D4313yescomplemented
413C2×C4×C8C2×D4313yescomplemented
414C43C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—438no—
4162−1+4—864no—
417H(5,𝔽2)—438no—
418H(5,𝔽2)—864no—
419C2×#41—433no—
420C2×#41—433no—
421C2×#41—861no—
422C2×#41—863no—
423C2×#41C22×D4311yescharacteristic
424C22×Q8—433no—
425C22×Q8—861no—
426C22×D4—433no—
427C22×D4—863no—
428C23×C4—863no—
429#137—4324no—
430AGL(1,ℤ/8)—4324no—
431#135—4324no—
432C2×Q16—433no—
433C2×SD16—4324no—
434C2×SD16—433no—
435C2×SD16—436no—
436C2×SD16—431no—
437C2×D8—433no—
438#131—24no—
439#131C4×D4318yescomplemented
440C2×M16C22×D4313yes—
441C2×M16C22×D4313yes—
442C22×C8C22×D4313yes—
443C22×C8C22×D4313yes—
444C4×Q8—433no—
445C4×Q8—436no—
446C4×Q8—431no—
447C4×Q8—433no—
448C4×Q8—433no—
449C4×Q8—861no—
450C4×Q8—861no—
451C4×Q8—863no—
452C4×Q8—863no—
453C4×Q8—863no—
454C4×Q8—863no—
455C4×Q8D17211yescharacteristic
456C4×Q8D17211yescharacteristic
457C4×D4—433no—
458C4×D4—436no—
459C4×D4—431no—
460C4×D4—433no—
461C4×D4—433no—
462C4×D4—863no—
463C4×D4—863no—
464C4×D4—863no—
465C4×D4—863no—
466C4×D4—863no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—863no—
470C4×D4—866no—
471C4×D4—866no—
472C4×D4—863no—
473C4×D4—863no—
474C4×D4D17213yes—
475C4×D4D17213yes—
476#117—433no—
477#117—433no—
478#117—863no—
479#117—863no—
480#117—866no—
481#117—863no—
482#117—863no—
483#117C22×D4313yes—
484C2×C4⋊C4—433no—
485C2×C4⋊C4—433no—
486C2×C4⋊C4—863no—
487C2×C4⋊C4—863no—
488C2×C4⋊C4—863no—
489C2×C22⋊C4—863no—
490C2×C22⋊C4—866no—
491C2×C42—863no—
492C2×C42—863no—
493C2×C42—863no—
494C2×C42C22×D4313yes—
495#107—433no—
496#107—433no—
497#106—433no—
498#106—436no—
499#106—431no—
500#103—433no—
501#103—436no—
502#103—431no—
503#103—433no—
504#103—433no—
505#102—433no—
506#102—436no—
507#102—431no—
508#102—433no—
509#102—433no—
510#97C22×D4316yes—
511C4×C8C22×D4311yescharacteristic
512C4×C8C22×D4313yes—
513C4×C8C22×D4313yes—
514C4×C8C22×D4313yes—
515C24—863no—
516#41—4312no—
517#41—4312no—
518#41—868no—
519#41—8624no—
520#41—866no—
521#41—866no—
522#41C2×C4×D4314yes—
523#41#1062189814yes—
524C2×Q8—4312no—
525C2×Q8—433no—
526C2×Q8—431no—
527C2×Q8—868no—
528C2×Q8—863no—
529C2×Q8—866no—
530C2×Q8C2×D17211yescharacteristic
531C2×D4—4312no—
532C2×D4—431no—
533C2×D4—433no—
534C2×D4—863no—
535C2×D4—863no—
536C2×D4—8624no—
537C2×D4—863no—
538C2×D4—866no—
539C2×D4C2×D17213yes—
540C22×C4—863no—
541C22×C4—863no—
542C22×C4—863no—
543C22×C4—863no—
544C22×C4—863no—
545C22×C4—863no—
546C22×C4—863no—
547C22×C4—866no—
548C22×C4—861no—
549C22×C4—863no—
550C22×C4—3446no—
551C22×C4C2×D17213yes—
552C22×C4C2×D17213yes—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—4312no—
556SD16—4324no—
557SD16—434no—
558D8—4312no—
559M16—26no—
560M16C2×C4×D43112yescomplemented
561C2×C8—26no—
562C2×C8C2×C4×D43112yescomplemented
563C2×C8C23×D4311yescharacteristic
564C2×C8C23×D4313yes—
565C2×C8C23×D4311yescharacteristic
566C2×C8C23×D4313yes—
567C4⋊C4—433no—
568C4⋊C4—431no—
569C4⋊C4—433no—
570C4⋊C4—431no—
571C4⋊C4—863no—
572C4⋊C4—863no—
573C4⋊C4—863no—
574C4⋊C4—866no—
575C4⋊C4—863no—
576C4⋊C4—861no—
577C4⋊C4—863no—
578C4⋊C4C2×D17213yes—
579C4⋊C4C2×D17213yes—
580C22⋊C4—863no—
581C22⋊C4—863no—
582C22⋊C4—863no—
583C22⋊C4—866no—
584C22⋊C4—863no—
585C22⋊C4—861no—
586C22⋊C4—863no—
587C22⋊C4C2×D17216yes—
588C42—863no—
589C42—863no—
590C42—863no—
591C42—863no—
592C42—866no—
593C42—861no—
594C42—863no—
595C42C2×D17213yes—
596C42C2×D17213yes—
597C42C23×D4313yes—
598C42C23×D4311yescharacteristic
599C23—8612no—
600C23—861no—
601C23—863no—
602C23—3443no—
603C23—3443no—
604C23C22×D17213yes—
605Q8—436no—
606Q8—432no—
607Q8—8612no—
608Q8—863no—
609Q8—861no—
610Q8C4×D17214yes—
611D4—432no—
612D4—436no—
613D4—8612no—
614D4—8612no—
615D4—8612no—
616D4—863no—
617D4—861no—
618D4C4×D172112yes—
619C2×C4—26no—
620C2×C4—43no—
621C2×C4—8612no—
622C2×C4—861no—
623C2×C4—863no—
624C2×C4—8612no—
625C2×C4—8612no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—863no—
629C2×C4—863no—
630C2×C4—3446no—
631C2×C4—3443no—
632C2×C4—3443no—
633C2×C4—3443no—
634C2×C4—3443no—
635C2×C4—1726no—
636C2×C4—1722no—
637C2×C4C22×C4×D4316yes—
638C2×C4C22×D17213yes—
639C2×C4C22×D17213yes—
640C2×C4C22×D17211yescharacteristic
641C2×C4C22×D17213yes—
642C2×C4C22×D17211yescharacteristic
643C2×C4C2×#1062189816yes—
644C2×C4C24×D4311yescharacteristic
645C8—21no—
646C8—23no—
647C8C22×C4×D4312yes—
648C8C22×C4×D4316yes—
649C22—23no—
650C22—23no—
651C22—862no—
652C22—866no—
653C22—34412no—
654C22—1723no—
655C22—1721no—
656C22—1721no—
657C22—1723no—
658C22C2×C4×D17216yes—
659C22C23×D17211yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—862no—
664C4—866no—
665C4—1723no—
666C4—1721no—
667C4—1721no—
668C4—1723no—
669C4C2×C4×D17216yes—
670C4#1458371112yesdirect product factor
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062189811yescharacteristic
673C2—26no—
674C2—1726no—
675C2—1722no—
676C2C22×C4×D17211yescharacteristic
677C2C2×#1458371111yescharacteristic
678C2#1914936911yescharacteristic
subgroupG/H
centerC2×C4C22×D172
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC4×#131×C43C2
socleC22×C43C23×D4
prime radicalC2×#14583711C2
cosocleC2×C4×C43C25
hypercenterC4×#131D43
hypocenterC43C4×#577
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×#131

Complements

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

NH ≅ G/Ntype
2. C4×#13063372C2semidirect
3. C4×#13063371C2semidirect
4. #19143480C2semidirect
5. #19143456C2semidirect
6. #19143440C2semidirect
7. #19143429C2semidirect
8. C4×#13063358C2semidirect
9. C4×#13063353C2semidirect
10. C4×#13063347C2semidirect
11. C2×C4×#10621873C2semidirect
12. #19143190C2semidirect
13. #19143129C2semidirect
14. #19143122C2semidirect
15. C4×#131×C43C2semidirect
18. #14583711C4direct (N × H)
27. #14583379C22semidirect
29. #14583376C22semidirect
35. C4×#10621898C22semidirect
37. C2×C4×Dic86C22semidirect
41. #14583012C22semidirect
42. #14583007C22semidirect
43. #14583001C22semidirect
44. #14583001C22semidirect
45. C4×Dic172C22semidirect
46. C4×Dic172C22semidirect
47. C4×#10621873C22semidirect
48. C4×#10621873C22semidirect
49. C4×#10621873C22semidirect
50. C4×#10621873C22semidirect
51. C4×#10621873C22semidirect
52. C4×#10621873C22semidirect
53. C4×#10621873C22semidirect
54. C4×D344C22semidirect
55. C4×D344C22semidirect
56. #14582941C22semidirect
57. #14582941C22semidirect
58. #14582937C22semidirect
59. C2×#13063257C22semidirect
60. #14582909C22semidirect
63. #14582901C22semidirect
65. #14582896C22semidirect
66. C2×#13063250C22semidirect
71. C43×#405C22semidirect
72. C43×#405C22semidirect
73. C4×M16×C43C22semidirect
74. C2×C4×C8×C43C22semidirect
76. #13063372C2×C4semidirect
78. #13063371C2×C4semidirect
88. #13063358C2×C4semidirect
89. #13063353C2×C4semidirect
90. #13063347C2×C4semidirect
92. C2×#10621873C2×C4semidirect
159. #131×C43C2×C4semidirect
195. #10621898C22×C4semidirect
211. C2×Dic86C22×C4semidirect
215. M16×C43C22×C4semidirect
217. C2×C8×C43C22×C4semidirect
254. Dic172C22×C4semidirect
255. D344C22×C4semidirect
256. #10621873C22×C4semidirect
257. #10621873C22×C4semidirect
258. #10621873C22×C4semidirect
325. C4×C43#577semidirect
348. C4×#131D43semidirect
410. #405C2×D43semidirect
411. #405C2×D43semidirect
412. C4×M16C2×D43semidirect
413. C2×C4×C8C2×D43semidirect
414. C43C4×#577semidirect
439. #131C4×D43semidirect
560. M16C2×C4×D43semidirect
562. C2×C8C2×C4×D43semidirect
670. C4#14583711direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145837112
C4×#130633722
C4×#130633712
#191434802
#191434562
#191434402
#191434292
C4×#130633582
C4×#130633532
C4×#130633472
C2×C4×#106218732
#191431902
#191431292
#191431222
C4×#131×C432
C4×#57743