Finite Group Databasebeta

← C4×#16840574 #30544250

Subgroups — C4×#16840574 #30544250

Order 15616.

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×#16840574C211yesmaximal, characteristic
2C4×#14519824C211yesmaximal, characteristic, complemented
3C4×#14519823C211yesmaximal, characteristic, complemented
4#21454704C213yesmaximal, complemented
5#21454680C213yesmaximal, complemented
6#21454664C213yesmaximal, complemented
7#21454653C213yesmaximal, complemented
8C4×#14519810C213yesmaximal, complemented
9C4×#14519805C213yesmaximal, complemented
10C4×#14519799C213yesmaximal, complemented
11C2×C4×#11758190C213yesmaximal, complemented
12#21454414C211yesmaximal, characteristic, complemented
13#21454353C211yesmaximal, characteristic, complemented
14#21454346C211yesmaximal, characteristic, complemented
15C4×#131×C61C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840574C4116yesdirect product factor
19C2×#14519810C2213yes—
20C2×#14519805C2213yes—
21C2×#14519799C2213yes—
22C22×#11758190C2213yes—
23#16840245C2211yescharacteristic
24#16840245C2211yescharacteristic
25#16840244—21no—
26#16840242C2213yes—
27#16840242C2213yescomplemented
28#16840241—23no—
29#16840239C2213yescomplemented
30#16840238—21no—
31#16840236C2213yes—
32#16840234—23no—
33C4×#11758226—21no—
34C4×#11758222C2213yes—
35C4×#11758222C2213yescomplemented
36C4×#11758224—23no—
37C2×C4×Dic122C2213yescomplemented
38C4×Q8×D61—21no—
39C2×C4×D244C2213yes—
40C4×D4×D61—23no—
41#16839875C2216yescomplemented
42#16839870C2216yescomplemented
43#16839864C2216yescomplemented
44#16839864C2216yescomplemented
45C4×Dic244C2213yescomplemented
46C4×Dic244C2213yescomplemented
47C4×#11758190C2211yescharacteristic, complemented
48C4×#11758190C2213yescomplemented
49C4×#11758190C2213yescomplemented
50C4×#11758190C2213yescomplemented
51C4×#11758190C2216yescomplemented
52C4×#11758190C2216yescomplemented
53C4×#11758190C2216yescomplemented
54C4×D488C2213yescomplemented
55C4×D488C2213yescomplemented
56#16839804C2213yescomplemented
57#16839804C2213yescomplemented
58#16839800C2213yescomplemented
59C2×#14519709C2213yescomplemented
60#16839772C2213yescomplemented
61#16839768C2213yes—
62#16839764C2213yes—
63#16839764C2213yescomplemented
64#16839759C2213yes—
65#16839759C2213yescomplemented
66C2×#14519702C2213yescomplemented
67C2×#14519699C2213yes—
68C2×#131×C61C2211yescharacteristic
69C2×#131×C61C2211yescharacteristic
70C4×#41×C61C2211yescharacteristic
71C61×#405C2213yescomplemented
72C61×#405C2213yescomplemented
73C4×M16×C61C2213yescomplemented
74C2×C4×C8×C61C2213yescomplemented
75#14519824—24no—
76#14519824C2×C418yescomplemented
77#14519823—24no—
78#14519823C2×C418yescomplemented
79C2×#11758226—21no—
80C2×#11758222C2313yes—
81C2×#11758222C2313yes—
82C2×#11758224—23no—
83C22×Dic122C2313yes—
84C2×Q8×D61—21no—
85C22×D244C2313yes—
86C2×D4×D61—23no—
87C22×C4×D61—23no—
88#14519810C2×C4124yescomplemented
89#14519805C2×C4124yescomplemented
90#14519799C2×C4124yescomplemented
91C2×Dic244C2313yes—
92C2×#11758190C2×C4124yescomplemented
93C2×#11758190C2313yes—
94C2×#11758190C2316yes—
95C2×#11758190C2311yescharacteristic
96C2×D488C2313yes—
97Q8×Dic61—21no—
98Q8×Dic61—21no—
99C4×Dic122—23no—
100C4×Dic122—23no—
101C4×Dic122C2313yes—
102C4×Dic122C2316yes—
103C4×Dic122C2311yescharacteristic
104C4×Dic122C2313yes—
105C4×Dic122C2313yes—
106#14519742—23no—
107#14519742—23no—
108C4×D244—23no—
109C4×D244—23no—
110C4×D244C2313yes—
111C4×D244C2316yes—
112C4×D244C2313yes—
113C4×D244C2311yescharacteristic
114C4×D244C2313yes—
115D4×Dic61—23no—
116D4×Dic61—23no—
117#14519739—23no—
118#14519739—23no—
119C4×C22⋊D61—23no—
120C4×C22⋊D61—23no—
121C4×C22⋊D61—23no—
122C4×C22⋊D61—23no—
123#14519737—26no—
124#14519737—26no—
125#14519736C2313yes—
126#14519736C2313yes—
127#14519735—23no—
128#14519735—23no—
129#14519734—23no—
130#14519734—23no—
131#14519733—26no—
132C2×C4⋊Dic61C2313yes—
133C2×C4⋊Dic61C2313yes—
134C2×#11758196—23no—
135C4⋊C4×D61—23no—
136C4⋊C4×D61—23no—
137C2×#11758198—23no—
138C22⋊C4×D61—26no—
139C2×C4×Dic61—23no—
140C42×D61—23no—
141C42×D61—23no—
142#14519711C2313yes—
143#14519711C2313yes—
144#14519709C2313yes—
145#14519709C2316yes—
146#14519709C2311yescharacteristic
147#14519702C2313yes—
148#14519702C2316yes—
149#14519702C2311yescharacteristic
150#14519702C2313yes—
151#14519702C2313yes—
152#14519699C2313yes—
153#14519699C2316yes—
154#14519699C2313yes—
155#14519699C2311yescharacteristic
156#14519699C2313yes—
157C2×#41×C61C2311yescharacteristic
158#131×C61—24no—
159#131×C61C2×C418yescomplemented
160C2×M16×C61C2313yes—
161C2×M16×C61C2313yes—
162C22×C8×C61C2313yes—
163C22×C8×C61C2313yes—
164C4×Q8×C61D411yescharacteristic
165C4×Q8×C61D411yescharacteristic
166C4×D4×C61D413yes—
167C4×D4×C61D413yes—
168#117×C61C2313yes—
169C2×C42×C61C2313yes—
170#97×C61C2316yes—
171C4×C8×C61C2311yescharacteristic
172C4×C8×C61C2313yes—
173C4×C8×C61C2313yes—
174C4×C8×C61C2313yes—
175C23×D61—23no—
176#41×C61C22×C414yes—
177#41×C61#4114yes—
178C2×Q8×C61C2×D411yescharacteristic
179C2×D4×C61C2×D413yes—
180C22×C4×C61C2×D413yes—
181C22×C4×C61C2×D413yes—
182C22×C4×C61C2413yes—
183C2×C22⋊D61—23no—
184C2×C22⋊D61—23no—
185C22×Dic61—23no—
186C22×Dic61—23no—
187C22×Dic61—23no—
188#11758226—28no—
189Q8×D61—28no—
190#11758224—224no—
191D4×D61—224no—
192#11758222—26no—
193#11758222—26no—
194#11758222C22×C4112yes—
195#11758222C22×C4112yescomplemented
196C2×D244—23no—
197C2×D244—26no—
198C2×D244C22×C4112yes—
199C2×D244C2413yes—
200C2×D244C2411yescharacteristic
201C2×C4×D61—23no—
202C2×C4×D61—23no—
203C2×C4×D61—23no—
204C2×C4×D61—21no—
205C2×C4×D61—26no—
206C2×C4×D61—23no—
207C2×C4×D61—23no—
208C2×C4×D61—86no—
209C2×Dic122—23no—
210C2×Dic122—26no—
211C2×Dic122C22×C4112yescomplemented
212C2×Dic122C2413yes—
213C2×Dic122C2411yescharacteristic
214M16×C61—26no—
215M16×C61C22×C4112yescomplemented
216C2×C8×C61—26no—
217C2×C8×C61C22×C4112yescomplemented
218C2×C8×C61C2411yescharacteristic
219C2×C8×C61C2413yes—
220C2×C8×C61C2411yescharacteristic
221C2×C8×C61C2413yes—
222C4⋊C4×C61C2×D413yes—
223C4⋊C4×C61C2×D413yes—
224C22⋊C4×C61C2×D416yes—
225C42×C61C2×D413yes—
226C42×C61C2×D413yes—
227C42×C61C2411yescharacteristic
228C42×C61C2413yes—
229C22⋊Dic61—23no—
230C22⋊Dic61—23no—
231#11758198—23no—
232#11758198—26no—
233#11758198—23no—
234#11758198—21no—
235#11758198—23no—
236C4⋊Dic61—23no—
237C4⋊Dic61—23no—
238C4⋊Dic61C2413yes—
239C4⋊Dic61C2411yescharacteristic
240C4⋊Dic61C2413yes—
241C4⋊Dic61C2411yescharacteristic
242#11758196—23no—
243#11758196—26no—
244#11758196—23no—
245#11758196—23no—
246#11758196—21no—
247C4×Dic61—21no—
248C4×Dic61—23no—
249C4×Dic61—23no—
250C4×Dic61—23no—
251C4×Dic61—23no—
252C4×Dic61—23no—
253C4×Dic61—26no—
254Dic244C22×C4112yescomplemented
255D488C22×C4112yescomplemented
256#11758190C22×C4124yescomplemented
257#11758190C22×C4112yescomplemented
258#11758190C22×C414yescomplemented
259C23×C61C22×D413yes—
260C22×D61—21no—
261C22×D61—23no—
262C22×D61—212no—
263C22×D61—83no—
264C22×D61—83no—
265Q8×C61C4×D414yes—
266D4×C61C4×D4112yes—
267C2×C4×C61—26no—
268C2×C4×C61—43no—
269C2×C4×C61C23×C416yes—
270C2×C4×C61C22×D413yes—
271C2×C4×C61C22×D413yes—
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C22×D413yes—
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C2×#4116yes—
276C2×C4×C61C2511yescharacteristic
277C22⋊D61—212no—
278C22⋊D61—212no—
279C2×Dic61—212no—
280C2×Dic61—23no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—23no—
284C2×Dic61—21no—
285C2×Dic61—23no—
286C2×Dic61—83no—
287C2×Dic61—83no—
288D244—212no—
289D244—23no—
290D244—21no—
291D244C23×C416yes—
292D244C23×C412yes—
293C4×D61—212no—
294C4×D61—212no—
295C4×D61—42no—
296C4×D61—46no—
297C4×D61—83no—
298C4×D61—83no—
299C4×D61—86no—
300Dic122—212no—
301Dic122—23no—
302Dic122—21no—
303Dic122C23×C416yes—
304Dic122C23×C412yes—
305C8×C61—21no—
306C8×C61—23no—
307C8×C61C23×C412yes—
308C8×C61C23×C416yes—
309C4×#577—611nomaximal, Sylow
310C22×C61—23no—
311C22×C61—23no—
312C22×C61C2×C4×D416yes—
313C22×C61C23×D411yescharacteristic
314C2×D61—22no—
315C2×D61—26no—
316C2×D61—41no—
317C2×D61—43no—
318C2×D61—43no—
319C2×D61—41no—
320C2×D61—812no—
321C4×C61—23no—
322C4×C61—21no—
323C4×C61—23no—
324C4×C61C2×C4×D416yes—
325C4×C61#57712yescomplemented
326C4×C61C24×C411yescharacteristic
327C4×C61C22×#4111yescharacteristic
328Dic61—26no—
329Dic61—22no—
330Dic61—41no—
331Dic61—43no—
332Dic61—43no—
333Dic61—41no—
334C2×#577—611no—
335C4×2−1+4—611no—
336C4×H(5,𝔽2)—611no—
337#2952—613no—
338#2949—613no—
339#2947—613no—
340#2946—613no—
341C4×#137—613no—
342C4×AGL(1,ℤ/8)—613no—
343C4×#135—613no—
344C2×C4×SD16—613no—
345#2912—611no—
346#2898—611no—
347#2897—611no—
348C4×#131D6111yescharacteristic, complemented
349C2×C61—26no—
350C2×C61C22×C4×D411yescharacteristic
351C2×C61C2×#57711yescharacteristic
352C2×C61#358411yescharacteristic
353D61—42no—
354D61—46no—
355C2×2−1+4—611no—
356C2×H(5,𝔽2)—611no—
357#577—6116no—
358C2×#137—613no—
359C2×AGL(1,ℤ/8)—613no—
360C2×#135—613no—
361C22×SD16—613no—
362C2×#131C2×D6111yescharacteristic
363C2×#131C2×D6111yescharacteristic
364#520—611no—
365#520—611no—
366#520—613no—
367#520—613no—
368#520—1221no—
369#520—1223no—
370#519—613no—
371#519—1221no—
372#518—613no—
373#518—1223no—
374C4×#41—613no—
375C4×#41—613no—
376C4×#41—1221no—
377C4×#41—1223no—
378C4×#41C2×D6111yescharacteristic
379C2×C4×Q8—613no—
380C2×C4×Q8—1221no—
381C2×C4×D4—613no—
382C2×C4×D4—1223no—
383#442—616no—
384#441—616no—
385#440—616no—
386#440—616no—
387C4×Q16—613no—
388C4×Q16—613no—
389C4×SD16—613no—
390C4×SD16—616no—
391C4×SD16—616no—
392C4×SD16—616no—
393C4×SD16—611no—
394C4×SD16—613no—
395C4×SD16—613no—
396C4×D8—613no—
397C4×D8—613no—
398#428—613no—
399#428—613no—
400#427—613no—
401C2×#106—613no—
402#419—613no—
403#418—613no—
404#417—613no—
405#417—613no—
406#416—613no—
407#416—613no—
408C2×#103—613no—
409C2×#102—613no—
410#405C2×D6113yescomplemented
411#405C2×D6113yescomplemented
412C4×M16C2×D6113yescomplemented
413C2×C4×C8C2×D6113yescomplemented
414C61C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—618no—
4162−1+4—1224no—
417H(5,𝔽2)—618no—
418H(5,𝔽2)—1224no—
419C2×#41—613no—
420C2×#41—613no—
421C2×#41—1221no—
422C2×#41—1223no—
423C2×#41C22×D6111yescharacteristic
424C22×Q8—613no—
425C22×Q8—1221no—
426C22×D4—613no—
427C22×D4—1223no—
428C23×C4—1223no—
429#137—6124no—
430AGL(1,ℤ/8)—6124no—
431#135—6124no—
432C2×Q16—613no—
433C2×SD16—6124no—
434C2×SD16—613no—
435C2×SD16—616no—
436C2×SD16—611no—
437C2×D8—613no—
438#131—24no—
439#131C4×D6118yescomplemented
440C2×M16C22×D6113yes—
441C2×M16C22×D6113yes—
442C22×C8C22×D6113yes—
443C22×C8C22×D6113yes—
444C4×Q8—613no—
445C4×Q8—616no—
446C4×Q8—611no—
447C4×Q8—613no—
448C4×Q8—613no—
449C4×Q8—1221no—
450C4×Q8—1221no—
451C4×Q8—1223no—
452C4×Q8—1223no—
453C4×Q8—1223no—
454C4×Q8—1223no—
455C4×Q8D24411yescharacteristic
456C4×Q8D24411yescharacteristic
457C4×D4—613no—
458C4×D4—616no—
459C4×D4—611no—
460C4×D4—613no—
461C4×D4—613no—
462C4×D4—1223no—
463C4×D4—1223no—
464C4×D4—1223no—
465C4×D4—1223no—
466C4×D4—1223no—
467C4×D4—1223no—
468C4×D4—1223no—
469C4×D4—1223no—
470C4×D4—1226no—
471C4×D4—1226no—
472C4×D4—1223no—
473C4×D4—1223no—
474C4×D4D24413yes—
475C4×D4D24413yes—
476#117—613no—
477#117—613no—
478#117—1223no—
479#117—1223no—
480#117—1226no—
481#117—1223no—
482#117—1223no—
483#117C22×D6113yes—
484C2×C4⋊C4—613no—
485C2×C4⋊C4—613no—
486C2×C4⋊C4—1223no—
487C2×C4⋊C4—1223no—
488C2×C4⋊C4—1223no—
489C2×C22⋊C4—1223no—
490C2×C22⋊C4—1226no—
491C2×C42—1223no—
492C2×C42—1223no—
493C2×C42—1223no—
494C2×C42C22×D6113yes—
495#107—613no—
496#107—613no—
497#106—613no—
498#106—616no—
499#106—611no—
500#103—613no—
501#103—616no—
502#103—611no—
503#103—613no—
504#103—613no—
505#102—613no—
506#102—616no—
507#102—611no—
508#102—613no—
509#102—613no—
510#97C22×D6116yes—
511C4×C8C22×D6111yescharacteristic
512C4×C8C22×D6113yes—
513C4×C8C22×D6113yes—
514C4×C8C22×D6113yes—
515C24—1223no—
516#41—6112no—
517#41—6112no—
518#41—1228no—
519#41—12224no—
520#41—1226no—
521#41—1226no—
522#41C2×C4×D6114yes—
523#41#1175822214yes—
524C2×Q8—6112no—
525C2×Q8—613no—
526C2×Q8—611no—
527C2×Q8—1228no—
528C2×Q8—1223no—
529C2×Q8—1226no—
530C2×Q8C2×D24411yescharacteristic
531C2×D4—6112no—
532C2×D4—611no—
533C2×D4—613no—
534C2×D4—1223no—
535C2×D4—1223no—
536C2×D4—12224no—
537C2×D4—1223no—
538C2×D4—1226no—
539C2×D4C2×D24413yes—
540C22×C4—1223no—
541C22×C4—1223no—
542C22×C4—1223no—
543C22×C4—1223no—
544C22×C4—1223no—
545C22×C4—1223no—
546C22×C4—1223no—
547C22×C4—1226no—
548C22×C4—1221no—
549C22×C4—1223no—
550C22×C4—4886no—
551C22×C4C2×D24413yes—
552C22×C4C2×D24413yes—
553C22×C4C23×D6113yes—
554Q16—6112no—
555SD16—6112no—
556SD16—6124no—
557SD16—614no—
558D8—6112no—
559M16—26no—
560M16C2×C4×D61112yescomplemented
561C2×C8—26no—
562C2×C8C2×C4×D61112yescomplemented
563C2×C8C23×D6111yescharacteristic
564C2×C8C23×D6113yes—
565C2×C8C23×D6111yescharacteristic
566C2×C8C23×D6113yes—
567C4⋊C4—613no—
568C4⋊C4—611no—
569C4⋊C4—613no—
570C4⋊C4—611no—
571C4⋊C4—1223no—
572C4⋊C4—1223no—
573C4⋊C4—1223no—
574C4⋊C4—1226no—
575C4⋊C4—1223no—
576C4⋊C4—1221no—
577C4⋊C4—1223no—
578C4⋊C4C2×D24413yes—
579C4⋊C4C2×D24413yes—
580C22⋊C4—1223no—
581C22⋊C4—1223no—
582C22⋊C4—1223no—
583C22⋊C4—1226no—
584C22⋊C4—1223no—
585C22⋊C4—1221no—
586C22⋊C4—1223no—
587C22⋊C4C2×D24416yes—
588C42—1223no—
589C42—1223no—
590C42—1223no—
591C42—1223no—
592C42—1226no—
593C42—1221no—
594C42—1223no—
595C42C2×D24413yes—
596C42C2×D24413yes—
597C42C23×D6113yes—
598C42C23×D6111yescharacteristic
599C23—12212no—
600C23—1221no—
601C23—1223no—
602C23—4883no—
603C23—4883no—
604C23C22×D24413yes—
605Q8—616no—
606Q8—612no—
607Q8—12212no—
608Q8—1223no—
609Q8—1221no—
610Q8C4×D24414yes—
611D4—612no—
612D4—616no—
613D4—12212no—
614D4—12212no—
615D4—12212no—
616D4—1223no—
617D4—1221no—
618D4C4×D244112yes—
619C2×C4—26no—
620C2×C4—43no—
621C2×C4—12212no—
622C2×C4—1221no—
623C2×C4—1223no—
624C2×C4—12212no—
625C2×C4—12212no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1223no—
629C2×C4—1223no—
630C2×C4—4883no—
631C2×C4—4883no—
632C2×C4—4886no—
633C2×C4—4883no—
634C2×C4—4883no—
635C2×C4—2442no—
636C2×C4—2446no—
637C2×C4C22×C4×D6116yes—
638C2×C4C22×D24413yes—
639C2×C4C22×D24413yes—
640C2×C4C22×D24411yescharacteristic
641C2×C4C22×D24413yes—
642C2×C4C22×D24411yescharacteristic
643C2×C4C2×#1175822216yes—
644C2×C4C24×D6111yescharacteristic
645C8—21no—
646C8—23no—
647C8C22×C4×D6112yes—
648C8C22×C4×D6116yes—
649C22—23no—
650C22—23no—
651C22—1222no—
652C22—1226no—
653C22—48812no—
654C22—2443no—
655C22—2441no—
656C22—2441no—
657C22—2443no—
658C22C2×C4×D24416yes—
659C22C23×D24411yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—1222no—
664C4—1226no—
665C4—2443no—
666C4—2441no—
667C4—2441no—
668C4—2443no—
669C4C2×C4×D24416yes—
670C4#1684057412yesdirect product factor
671C4C23×C4×D6111yescharacteristic
672C4C22×#1175822211yescharacteristic
673C2—26no—
674C2—2446no—
675C2—2442no—
676C2C22×C4×D24411yescharacteristic
677C2C2×#1684057411yescharacteristic
678C2#2146059311yescharacteristic
subgroupG/H
centerC2×C4C22×D244
commutatorC4×C61C24×C4
FrattiniC2×C4C24×D61
FittingC4×#131×C61C2
socleC22×C61C23×D4
prime radicalC2×#16840574C2
cosocleC2×C4×C61C25
hypercenterC4×#131D61
hypocenterC61C4×#577
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×#131

Complements

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

NH ≅ G/Ntype
2. C4×#14519824C2semidirect
3. C4×#14519823C2semidirect
4. #21454704C2semidirect
5. #21454680C2semidirect
6. #21454664C2semidirect
7. #21454653C2semidirect
8. C4×#14519810C2semidirect
9. C4×#14519805C2semidirect
10. C4×#14519799C2semidirect
11. C2×C4×#11758190C2semidirect
12. #21454414C2semidirect
13. #21454353C2semidirect
14. #21454346C2semidirect
15. C4×#131×C61C2semidirect
18. #16840574C4direct (N × H)
27. #16840242C22semidirect
29. #16840239C22semidirect
35. C4×#11758222C22semidirect
37. C2×C4×Dic122C22semidirect
41. #16839875C22semidirect
42. #16839870C22semidirect
43. #16839864C22semidirect
44. #16839864C22semidirect
45. C4×Dic244C22semidirect
46. C4×Dic244C22semidirect
47. C4×#11758190C22semidirect
48. C4×#11758190C22semidirect
49. C4×#11758190C22semidirect
50. C4×#11758190C22semidirect
51. C4×#11758190C22semidirect
52. C4×#11758190C22semidirect
53. C4×#11758190C22semidirect
54. C4×D488C22semidirect
55. C4×D488C22semidirect
56. #16839804C22semidirect
57. #16839804C22semidirect
58. #16839800C22semidirect
59. C2×#14519709C22semidirect
60. #16839772C22semidirect
63. #16839764C22semidirect
65. #16839759C22semidirect
66. C2×#14519702C22semidirect
71. C61×#405C22semidirect
72. C61×#405C22semidirect
73. C4×M16×C61C22semidirect
74. C2×C4×C8×C61C22semidirect
76. #14519824C2×C4semidirect
78. #14519823C2×C4semidirect
88. #14519810C2×C4semidirect
89. #14519805C2×C4semidirect
90. #14519799C2×C4semidirect
92. C2×#11758190C2×C4semidirect
159. #131×C61C2×C4semidirect
195. #11758222C22×C4semidirect
211. C2×Dic122C22×C4semidirect
215. M16×C61C22×C4semidirect
217. C2×C8×C61C22×C4semidirect
254. Dic244C22×C4semidirect
255. D488C22×C4semidirect
256. #11758190C22×C4semidirect
257. #11758190C22×C4semidirect
258. #11758190C22×C4semidirect
325. C4×C61#577semidirect
348. C4×#131D61semidirect
410. #405C2×D61semidirect
411. #405C2×D61semidirect
412. C4×M16C2×D61semidirect
413. C2×C4×C8C2×D61semidirect
414. C61C4×#577semidirect
439. #131C4×D61semidirect
560. M16C2×C4×D61semidirect
562. C2×C8C2×C4×D61semidirect
670. C4#16840574direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168405742
C4×#145198242
C4×#145198232
#214547042
#214546802
#214546642
#214546532
C4×#145198102
C4×#145198052
C4×#145197992
C2×C4×#117581902
#214544142
#214543532
#214543462
C4×#131×C612
C4×#57761