Finite Group Databasebeta

← C4×#11763621 #17898561

Subgroups — C4×#11763621 #17898561

Order 4352.

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×#11763621C211yesmaximal, characteristic
2C4×#10587697C211yesmaximal, characteristic, complemented
3C4×#10587696C211yesmaximal, characteristic, complemented
4#14537669C213yesmaximal, complemented
5#14537645C213yesmaximal, complemented
6#14537629C213yesmaximal, complemented
7#14537618C213yesmaximal, complemented
8C4×#10587595C213yesmaximal, complemented
9C4×#10587594C213yesmaximal, complemented
10C4×#10587590C213yesmaximal, complemented
11C2×C4×#63219C213yesmaximal, complemented
12#14537379C211yesmaximal, characteristic, complemented
13#14537318C211yesmaximal, characteristic, complemented
14#14537311C211yesmaximal, characteristic, complemented
15C4×C17×#131C211yesmaximal, characteristic, complemented
16C2×#10587697C2211yescharacteristic
17C2×#10587696C2211yescharacteristic
18#11763621C4116yesdirect product factor
19C2×#10587595C2213yes—
20C2×#10587594C2213yes—
21C2×#10587590C2213yes—
22C22×#63219C2213yes—
23#11763292C2211yescharacteristic
24#11763292C2211yescharacteristic
25#11763291—21no—
26#11763289C2213yes—
27#11763289C2213yescomplemented
28#11763288—23no—
29#11763286C2213yescomplemented
30#11763285—21no—
31#11763283C2213yes—
32#11763281—23no—
33C4×#63256—21no—
34C4×#63252C2213yes—
35C4×#63252C2213yescomplemented
36C4×#63254—23no—
37C2×C4×Dic34C2213yescomplemented
38C4×Q8×D17—21no—
39C2×C4×D68C2213yes—
40C4×D4×D17—23no—
41#11762922C2216yescomplemented
42#11762917C2216yescomplemented
43#11762911C2216yescomplemented
44#11762911C2216yescomplemented
45C4×Dic68C2213yescomplemented
46C4×Dic68C2213yescomplemented
47C4×#63219C2213yescomplemented
48C4×#63219C2216yescomplemented
49C4×#63219C2216yescomplemented
50C4×#63219C2216yescomplemented
51C4×#63219C2211yescharacteristic, complemented
52C4×#63219C2213yescomplemented
53C4×#63219C2213yescomplemented
54C4×D136C2213yescomplemented
55C4×D136C2213yescomplemented
56#11762851C2213yescomplemented
57#11762851C2213yescomplemented
58#11762847C2213yescomplemented
59C2×#10587488C2213yescomplemented
60#11762819C2213yescomplemented
61#11762815C2213yes—
62#11762811C2213yes—
63#11762811C2213yescomplemented
64#11762806C2213yes—
65#11762806C2213yescomplemented
66C2×#10587487C2213yescomplemented
67C2×#10587492C2213yes—
68C2×C17×#131C2211yescharacteristic
69C2×C17×#131C2211yescharacteristic
70C4×#41×C17C2211yescharacteristic
71C17×#405C2213yescomplemented
72C17×#405C2213yescomplemented
73C4×M16×C17C2213yescomplemented
74C2×C4×C8×C17C2213yescomplemented
75C2×#41×C17C2311yescharacteristic
76#10587697—24no—
77#10587697C2×C418yescomplemented
78#10587696—24no—
79#10587696C2×C418yescomplemented
80C2×#63256—21no—
81C2×Q8×D17—21no—
82C2×#63254—23no—
83C2×D4×D17—23no—
84C2×#63252C2313yes—
85C2×#63252C2313yes—
86C22×D68C2313yes—
87C22×C4×D17—23no—
88C22×Dic34C2313yes—
89C17×#131—24no—
90C17×#131C2×C418yescomplemented
91C2×M16×C17C2313yes—
92C2×M16×C17C2313yes—
93C22×C8×C17C2313yes—
94C22×C8×C17C2313yes—
95C4×Q8×C17D411yescharacteristic
96C4×Q8×C17D411yescharacteristic
97C4×D4×C17D413yes—
98C4×D4×C17D413yes—
99C17×#117C2313yes—
100C2×C42×C17C2313yes—
101Q8×Dic17—21no—
102Q8×Dic17—21no—
103D4×Dic17—23no—
104D4×Dic17—23no—
105C4×C22⋊D17—23no—
106C4×C22⋊D17—23no—
107C4×C22⋊D17—23no—
108C4×C22⋊D17—23no—
109C2×#63227—23no—
110#10587612C2313yes—
111#10587612C2313yes—
112C2×C4⋊Dic17C2313yes—
113C2×C4⋊Dic17C2313yes—
114C2×#63225—23no—
115C2×C4×Dic17—23no—
116#10587595C2×C4124yescomplemented
117#10587594C2×C4124yescomplemented
118C2×Dic68C2313yes—
119#10587590C2×C4124yescomplemented
120C2×D136C2313yes—
121C2×#63219C2×C4124yescomplemented
122C2×#63219C2313yes—
123C2×#63219C2316yes—
124C2×#63219C2311yescharacteristic
125#10587579—23no—
126#10587579—23no—
127#10587578—23no—
128#10587578—23no—
129C4⋊C4×D17—23no—
130C4⋊C4×D17—23no—
131#10587573—23no—
132#10587573—23no—
133#10587567—26no—
134#10587567—26no—
135C22⋊C4×D17—26no—
136#10587563—26no—
137C4×D68—23no—
138C4×D68—23no—
139C4×D68C2313yes—
140C4×D68C2316yes—
141C4×D68C2313yes—
142C4×D68C2311yescharacteristic
143C4×D68C2313yes—
144#10587558—23no—
145#10587558—23no—
146C42×D17—23no—
147C42×D17—23no—
148C4×Dic34—23no—
149C4×Dic34—23no—
150C4×Dic34C2313yes—
151C4×Dic34C2316yes—
152C4×Dic34C2311yescharacteristic
153C4×Dic34C2313yes—
154C4×Dic34C2313yes—
155C17×#97C2316yes—
156C4×C8×C17C2311yescharacteristic
157C4×C8×C17C2313yes—
158C4×C8×C17C2313yes—
159C4×C8×C17C2313yes—
160#10587492C2313yes—
161#10587492C2316yes—
162#10587492C2313yes—
163#10587492C2311yescharacteristic
164#10587492C2313yes—
165#10587489C2313yes—
166#10587489C2313yes—
167#10587488C2313yes—
168#10587488C2316yes—
169#10587488C2311yescharacteristic
170#10587487C2313yes—
171#10587487C2316yes—
172#10587487C2311yescharacteristic
173#10587487C2313yes—
174#10587487C2313yes—
175C23×D17—23no—
176#41×C17C22×C414yes—
177#41×C17#4114yes—
178C2×Q8×C17C2×D411yescharacteristic
179C2×D4×C17C2×D413yes—
180C22×C4×C17C2×D413yes—
181C22×C4×C17C2×D413yes—
182C22×C4×C17C2413yes—
183C2×C22⋊D17—23no—
184C2×C22⋊D17—23no—
185C22×Dic17—23no—
186C22×Dic17—23no—
187C22×Dic17—23no—
188#63256—28no—
189Q8×D17—28no—
190#63254—224no—
191D4×D17—224no—
192#63252—26no—
193#63252—26no—
194#63252C22×C4112yes—
195#63252C22×C4112yescomplemented
196C2×D68—23no—
197C2×D68—26no—
198C2×D68C22×C4112yes—
199C2×D68C2413yes—
200C2×D68C2411yescharacteristic
201C2×C4×D17—23no—
202C2×C4×D17—23no—
203C2×C4×D17—23no—
204C2×C4×D17—21no—
205C2×C4×D17—26no—
206C2×C4×D17—23no—
207C2×C4×D17—23no—
208C2×C4×D17—86no—
209C2×Dic34—23no—
210C2×Dic34—26no—
211C2×Dic34C22×C4112yescomplemented
212C2×Dic34C2413yes—
213C2×Dic34C2411yescharacteristic
214M16×C17—26no—
215M16×C17C22×C4112yescomplemented
216C2×C8×C17—26no—
217C2×C8×C17C22×C4112yescomplemented
218C2×C8×C17C2411yescharacteristic
219C2×C8×C17C2413yes—
220C2×C8×C17C2411yescharacteristic
221C2×C8×C17C2413yes—
222C4⋊C4×C17C2×D413yes—
223C4⋊C4×C17C2×D413yes—
224C22⋊C4×C17C2×D416yes—
225C42×C17C2×D413yes—
226C42×C17C2×D413yes—
227C42×C17C2411yescharacteristic
228C42×C17C2413yes—
229C22⋊Dic17—23no—
230C22⋊Dic17—23no—
231#63227—21no—
232#63227—23no—
233#63227—23no—
234#63227—23no—
235#63227—26no—
236C4⋊Dic17—23no—
237C4⋊Dic17—23no—
238C4⋊Dic17C2413yes—
239C4⋊Dic17C2411yescharacteristic
240C4⋊Dic17C2413yes—
241C4⋊Dic17C2411yescharacteristic
242#63225—23no—
243#63225—26no—
244#63225—21no—
245#63225—23no—
246#63225—23no—
247C4×Dic17—23no—
248C4×Dic17—26no—
249C4×Dic17—21no—
250C4×Dic17—23no—
251C4×Dic17—23no—
252C4×Dic17—23no—
253C4×Dic17—23no—
254Dic68C22×C4112yescomplemented
255D136C22×C4112yescomplemented
256#63219C22×C4112yescomplemented
257#63219C22×C4124yescomplemented
258#63219C22×C414yescomplemented
259C4×#577—171nomaximal, Sylow
260C23×C17C22×D413yes—
261C22×D17—21no—
262C22×D17—23no—
263C22×D17—212no—
264C22×D17—83no—
265C22×D17—83no—
266Q8×C17C4×D414yes—
267D4×C17C4×D4112yes—
268C2×C4×C17—26no—
269C2×C4×C17—43no—
270C2×C4×C17C23×C416yes—
271C2×C4×C17C22×D411yescharacteristic
272C2×C4×C17C22×D413yes—
273C2×C4×C17C22×D413yes—
274C2×C4×C17C22×D413yes—
275C2×C4×C17C22×D411yescharacteristic
276C2×C4×C17C2×#4116yes—
277C2×C4×C17C2511yescharacteristic
278C22⋊D17—212no—
279C22⋊D17—212no—
280C2×Dic17—212no—
281C2×Dic17—23no—
282C2×Dic17—21no—
283C2×Dic17—21no—
284C2×Dic17—21no—
285C2×Dic17—23no—
286C2×Dic17—23no—
287C2×Dic17—83no—
288C2×Dic17—83no—
289D68—212no—
290D68—23no—
291D68—21no—
292D68C23×C416yes—
293D68C23×C412yes—
294C4×D17—212no—
295C4×D17—212no—
296C4×D17—42no—
297C4×D17—46no—
298C4×D17—83no—
299C4×D17—83no—
300C4×D17—86no—
301Dic34—212no—
302Dic34—23no—
303Dic34—21no—
304Dic34C23×C416yes—
305Dic34C23×C412yes—
306C8×C17—21no—
307C8×C17—23no—
308C8×C17C23×C412yes—
309C8×C17C23×C416yes—
310C2×#577—171no—
311C4×2−1+4—171no—
312C4×H(5,𝔽2)—171no—
313#2952—173no—
314#2949—173no—
315#2947—173no—
316#2946—173no—
317C4×#137—173no—
318C4×AGL(1,ℤ/8)—173no—
319C4×#135—173no—
320C2×C4×SD16—173no—
321#2912—171no—
322#2898—171no—
323#2897—171no—
324C4×#131D1711yescharacteristic, complemented
325C22×C17—23no—
326C22×C17—23no—
327C22×C17C2×C4×D416yes—
328C22×C17C23×D411yescharacteristic
329C2×D17—22no—
330C2×D17—26no—
331C2×D17—41no—
332C2×D17—43no—
333C2×D17—43no—
334C2×D17—41no—
335C2×D17—812no—
336C4×C17—23no—
337C4×C17—21no—
338C4×C17—23no—
339C4×C17C2×C4×D416yes—
340C4×C17#57712yescomplemented
341C4×C17C24×C411yescharacteristic
342C4×C17C22×#4111yescharacteristic
343Dic17—26no—
344Dic17—22no—
345Dic17—41no—
346Dic17—43no—
347Dic17—43no—
348Dic17—41no—
349C2×2−1+4—171no—
350C2×H(5,𝔽2)—171no—
351#577—1716no—
352C2×#137—173no—
353C2×AGL(1,ℤ/8)—173no—
354C2×#135—173no—
355C22×SD16—173no—
356C2×#131C2×D1711yescharacteristic
357C2×#131C2×D1711yescharacteristic
358#520—171no—
359#520—171no—
360#520—173no—
361#520—173no—
362#520—341no—
363#520—343no—
364#519—173no—
365#519—341no—
366#518—173no—
367#518—343no—
368C4×#41—173no—
369C4×#41—173no—
370C4×#41—341no—
371C4×#41—343no—
372C4×#41C2×D1711yescharacteristic
373C2×C4×Q8—173no—
374C2×C4×Q8—341no—
375C2×C4×D4—173no—
376C2×C4×D4—343no—
377#442—176no—
378#441—176no—
379#440—176no—
380#440—176no—
381C4×Q16—173no—
382C4×Q16—173no—
383C4×SD16—173no—
384C4×SD16—176no—
385C4×SD16—176no—
386C4×SD16—176no—
387C4×SD16—171no—
388C4×SD16—173no—
389C4×SD16—173no—
390C4×D8—173no—
391C4×D8—173no—
392#428—173no—
393#428—173no—
394#427—173no—
395C2×#106—173no—
396#419—173no—
397#418—173no—
398#417—173no—
399#417—173no—
400#416—173no—
401#416—173no—
402C2×#103—173no—
403C2×#102—173no—
404#405C2×D1713yescomplemented
405#405C2×D1713yescomplemented
406C4×M16C2×D1713yescomplemented
407C2×C4×C8C2×D1713yescomplemented
408C2×C17—26no—
409C2×C17C22×C4×D411yescharacteristic
410C2×C17C2×#57711yescharacteristic
411C2×C17#358411yescharacteristic
412D17—42no—
413D17—46no—
4142−1+4—178no—
4152−1+4—344no—
416H(5,𝔽2)—178no—
417H(5,𝔽2)—344no—
418C2×#41—173no—
419C2×#41—173no—
420C2×#41—341no—
421C2×#41—343no—
422C2×#41C22×D1711yescharacteristic
423C22×Q8—173no—
424C22×Q8—341no—
425C22×D4—173no—
426C22×D4—343no—
427C23×C4—343no—
428#137—1724no—
429AGL(1,ℤ/8)—1724no—
430#135—1724no—
431C2×Q16—173no—
432C2×SD16—1724no—
433C2×SD16—173no—
434C2×SD16—176no—
435C2×SD16—171no—
436C2×D8—173no—
437#131—24no—
438#131C4×D1718yescomplemented
439C2×M16C22×D1713yes—
440C2×M16C22×D1713yes—
441C22×C8C22×D1713yes—
442C22×C8C22×D1713yes—
443C4×Q8—173no—
444C4×Q8—176no—
445C4×Q8—171no—
446C4×Q8—173no—
447C4×Q8—173no—
448C4×Q8—341no—
449C4×Q8—341no—
450C4×Q8—343no—
451C4×Q8—343no—
452C4×Q8—343no—
453C4×Q8—343no—
454C4×Q8D6811yescharacteristic
455C4×Q8D6811yescharacteristic
456C4×D4—173no—
457C4×D4—176no—
458C4×D4—171no—
459C4×D4—173no—
460C4×D4—173no—
461C4×D4—343no—
462C4×D4—343no—
463C4×D4—343no—
464C4×D4—343no—
465C4×D4—343no—
466C4×D4—343no—
467C4×D4—343no—
468C4×D4—343no—
469C4×D4—346no—
470C4×D4—346no—
471C4×D4—343no—
472C4×D4—343no—
473C4×D4D6813yes—
474C4×D4D6813yes—
475#117—173no—
476#117—173no—
477#117—343no—
478#117—343no—
479#117—346no—
480#117—343no—
481#117—343no—
482#117C22×D1713yes—
483C2×C4⋊C4—173no—
484C2×C4⋊C4—173no—
485C2×C4⋊C4—343no—
486C2×C4⋊C4—343no—
487C2×C4⋊C4—343no—
488C2×C22⋊C4—343no—
489C2×C22⋊C4—346no—
490C2×C42—343no—
491C2×C42—343no—
492C2×C42—343no—
493C2×C42C22×D1713yes—
494#107—173no—
495#107—173no—
496#106—173no—
497#106—176no—
498#106—171no—
499#103—173no—
500#103—176no—
501#103—171no—
502#103—173no—
503#103—173no—
504#102—173no—
505#102—176no—
506#102—171no—
507#102—173no—
508#102—173no—
509#97C22×D1716yes—
510C4×C8C22×D1711yescharacteristic
511C4×C8C22×D1713yes—
512C4×C8C22×D1713yes—
513C4×C8C22×D1713yes—
514C17C4×#57711yescharacteristic, complemented, Sylow
515C24—343no—
516#41—1712no—
517#41—1712no—
518#41—348no—
519#41—3424no—
520#41—346no—
521#41—346no—
522#41C2×C4×D1714yes—
523#41#6325214yes—
524C2×Q8—1712no—
525C2×Q8—173no—
526C2×Q8—171no—
527C2×Q8—348no—
528C2×Q8—343no—
529C2×Q8—346no—
530C2×Q8C2×D6811yescharacteristic
531C2×D4—1712no—
532C2×D4—171no—
533C2×D4—173no—
534C2×D4—343no—
535C2×D4—343no—
536C2×D4—3424no—
537C2×D4—343no—
538C2×D4—346no—
539C2×D4C2×D6813yes—
540C22×C4—343no—
541C22×C4—343no—
542C22×C4—343no—
543C22×C4—343no—
544C22×C4—343no—
545C22×C4—341no—
546C22×C4—343no—
547C22×C4—343no—
548C22×C4—343no—
549C22×C4—346no—
550C22×C4—1366no—
551C22×C4C2×D6813yes—
552C22×C4C2×D6813yes—
553C22×C4C23×D1713yes—
554Q16—1712no—
555SD16—1712no—
556SD16—1724no—
557SD16—174no—
558D8—1712no—
559M16—26no—
560M16C2×C4×D17112yescomplemented
561C2×C8—26no—
562C2×C8C2×C4×D17112yescomplemented
563C2×C8C23×D1711yescharacteristic
564C2×C8C23×D1713yes—
565C2×C8C23×D1711yescharacteristic
566C2×C8C23×D1713yes—
567C4⋊C4—173no—
568C4⋊C4—171no—
569C4⋊C4—173no—
570C4⋊C4—171no—
571C4⋊C4—343no—
572C4⋊C4—343no—
573C4⋊C4—343no—
574C4⋊C4—346no—
575C4⋊C4—343no—
576C4⋊C4—341no—
577C4⋊C4—343no—
578C4⋊C4C2×D6813yes—
579C4⋊C4C2×D6813yes—
580C22⋊C4—343no—
581C22⋊C4—343no—
582C22⋊C4—343no—
583C22⋊C4—346no—
584C22⋊C4—343no—
585C22⋊C4—341no—
586C22⋊C4—343no—
587C22⋊C4C2×D6816yes—
588C42—343no—
589C42—343no—
590C42—343no—
591C42—343no—
592C42—346no—
593C42—341no—
594C42—343no—
595C42C2×D6813yes—
596C42C2×D6813yes—
597C42C23×D1713yes—
598C42C23×D1711yescharacteristic
599C23—341no—
600C23—343no—
601C23—3412no—
602C23—1363no—
603C23—1363no—
604C23C22×D6813yes—
605Q8—176no—
606Q8—172no—
607Q8—3412no—
608Q8—343no—
609Q8—341no—
610Q8C4×D6814yes—
611D4—172no—
612D4—176no—
613D4—3412no—
614D4—3412no—
615D4—3412no—
616D4—343no—
617D4—341no—
618D4C4×D68112yes—
619C2×C4—26no—
620C2×C4—43no—
621C2×C4—3412no—
622C2×C4—341no—
623C2×C4—343no—
624C2×C4—3412no—
625C2×C4—3412no—
626C2×C4—341no—
627C2×C4—341no—
628C2×C4—343no—
629C2×C4—343no—
630C2×C4—686no—
631C2×C4—682no—
632C2×C4—1366no—
633C2×C4—1363no—
634C2×C4—1363no—
635C2×C4—1363no—
636C2×C4—1363no—
637C2×C4C22×C4×D1716yes—
638C2×C4C22×D6813yes—
639C2×C4C22×D6813yes—
640C2×C4C22×D6811yescharacteristic
641C2×C4C22×D6813yes—
642C2×C4C22×D6811yescharacteristic
643C2×C4C2×#6325216yes—
644C2×C4C24×D1711yescharacteristic
645C8—21no—
646C8—23no—
647C8C22×C4×D1712yes—
648C8C22×C4×D1716yes—
649C22—23no—
650C22—23no—
651C22—342no—
652C22—346no—
653C22—683no—
654C22—681no—
655C22—681no—
656C22—683no—
657C22—13612no—
658C22C2×C4×D6816yes—
659C22C23×D6811yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—342no—
664C4—346no—
665C4—683no—
666C4—681no—
667C4—681no—
668C4—683no—
669C4C2×C4×D6816yes—
670C4#1176362112yesdirect product factor
671C4C23×C4×D1711yescharacteristic
672C4C22×#6325211yescharacteristic
673C2—26no—
674C2—686no—
675C2—682no—
676C2C22×C4×D6811yescharacteristic
677C2C2×#1176362111yescharacteristic
678C2#1454355811yescharacteristic
subgroupG/H
centerC2×C4C22×D68
commutatorC4×C17C24×C4
FrattiniC2×C4C24×D17
FittingC4×C17×#131C2
socleC22×C17C23×D4
prime radicalC2×#11763621C2
cosocleC2×C4×C17C25
hypercenterC4×#131D17
hypocenterC17C4×#577
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×#131

Complements

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

NH ≅ G/Ntype
2. C4×#10587697C2semidirect
3. C4×#10587696C2semidirect
4. #14537669C2semidirect
5. #14537645C2semidirect
6. #14537629C2semidirect
7. #14537618C2semidirect
8. C4×#10587595C2semidirect
9. C4×#10587594C2semidirect
10. C4×#10587590C2semidirect
11. C2×C4×#63219C2semidirect
12. #14537379C2semidirect
13. #14537318C2semidirect
14. #14537311C2semidirect
15. C4×C17×#131C2semidirect
18. #11763621C4direct (N × H)
27. #11763289C22semidirect
29. #11763286C22semidirect
35. C4×#63252C22semidirect
37. C2×C4×Dic34C22semidirect
41. #11762922C22semidirect
42. #11762917C22semidirect
43. #11762911C22semidirect
44. #11762911C22semidirect
45. C4×Dic68C22semidirect
46. C4×Dic68C22semidirect
47. C4×#63219C22semidirect
48. C4×#63219C22semidirect
49. C4×#63219C22semidirect
50. C4×#63219C22semidirect
51. C4×#63219C22semidirect
52. C4×#63219C22semidirect
53. C4×#63219C22semidirect
54. C4×D136C22semidirect
55. C4×D136C22semidirect
56. #11762851C22semidirect
57. #11762851C22semidirect
58. #11762847C22semidirect
59. C2×#10587488C22semidirect
60. #11762819C22semidirect
63. #11762811C22semidirect
65. #11762806C22semidirect
66. C2×#10587487C22semidirect
71. C17×#405C22semidirect
72. C17×#405C22semidirect
73. C4×M16×C17C22semidirect
74. C2×C4×C8×C17C22semidirect
77. #10587697C2×C4semidirect
79. #10587696C2×C4semidirect
90. C17×#131C2×C4semidirect
116. #10587595C2×C4semidirect
117. #10587594C2×C4semidirect
119. #10587590C2×C4semidirect
121. C2×#63219C2×C4semidirect
195. #63252C22×C4semidirect
211. C2×Dic34C22×C4semidirect
215. M16×C17C22×C4semidirect
217. C2×C8×C17C22×C4semidirect
254. Dic68C22×C4semidirect
255. D136C22×C4semidirect
256. #63219C22×C4semidirect
257. #63219C22×C4semidirect
258. #63219C22×C4semidirect
324. C4×#131D17semidirect
340. C4×C17#577semidirect
404. #405C2×D17semidirect
405. #405C2×D17semidirect
406. C4×M16C2×D17semidirect
407. C2×C4×C8C2×D17semidirect
438. #131C4×D17semidirect
514. C17C4×#577semidirect
560. M16C2×C4×D17semidirect
562. C2×C8C2×C4×D17semidirect
670. C4#11763621direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117636212
C4×#105876972
C4×#105876962
#145376692
#145376452
#145376292
#145376182
C4×#105875952
C4×#105875942
C4×#105875902
C2×C4×#632192
#145373792
#145373182
#145373112
C4×C17×#1312
C4×#57717