Finite Group Databasebeta

← #30544245

Subgroups — #30544245

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
2#21459030C211yesmaximal, characteristic, complemented
3#21459025C211yesmaximal, characteristic, complemented
4#21454702C213yesmaximal, complemented
5#21454677C213yesmaximal, complemented
6#21454660C213yesmaximal, complemented
7#21454649C213yesmaximal, complemented
8#21454637C213yesmaximal, complemented
9#21454626C213yesmaximal, complemented
10#21454590C213yesmaximal, complemented
11C2×#16839849C213yesmaximal, complemented
12#21454349C211yesmaximal, characteristic, complemented
13#21454342C211yesmaximal, characteristic, complemented
14#131×Dic61C211yesmaximal, characteristic, complemented
15C61×#2912C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840574C4116yescomplemented
19C2×#14519810C2213yes—
20C2×#14519805C2213yes—
21C2×#14519799C2213yes—
22C22×#11758190C2213yes—
23C2×#14519784C2211yescharacteristic
24#16840244—21no—
25#16840243C2213yes—
26#16840243C2213yescomplemented
27#16840241—23no—
28#16840239C2213yescomplemented
29#16840238—21no—
30#16840236C2213yes—
31#16840234—23no—
32#41×Dic61C2211yescharacteristic
33C4×#11758226—21no—
34#16840230C2213yes—
35#16840230C2213yescomplemented
36C4×#11758224—23no—
37C2×#14519742C2213yescomplemented
38C4×Q8×D61—21no—
39C2×#14519739C2213yes—
40C4×D4×D61—23no—
41#16839873C2216yescomplemented
42#16839868C2216yescomplemented
43#16839861C2216yescomplemented
44#16839861C2216yescomplemented
45#16839856C2213yescomplemented
46#16839856C2213yescomplemented
47#16839849C2216yescomplemented
48#16839849C2216yescomplemented
49#16839849C2213yescomplemented
50#16839849C2216yescomplemented
51#16839849C2213yescomplemented
52#16839849C2213yescomplemented
53#16839849C2211yescharacteristic, complemented
54#16839844C2213yescomplemented
55#16839844C2213yescomplemented
56#16839770C2213yescomplemented
57#16839766C2213yes—
58#16839761C2213yes—
59#16839761C2213yescomplemented
60#16839756C2213yes—
61#16839756C2213yescomplemented
62C2×#14519700C2213yescomplemented
63C2×#14519697C2213yes—
64#16839720C2213yescomplemented
65#16839717C2213yescomplemented
66M16×Dic61C2213yescomplemented
67C2×C8×Dic61C2213yescomplemented
68C2×#131×C61C2211yescharacteristic
69C61×#520C2211yescharacteristic
70C61×#520C2211yescharacteristic
71C61×#428C2213yescomplemented
72C61×#428C2213yescomplemented
73C61×#427C2213yescomplemented
74C2×#106×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—
97#14519784—24no—
98C2×#11758194C2313yes—
99C22×#92418C2313yes—
100Q8×Dic61D411yescharacteristic
101Q8×Dic61D411yescharacteristic
102C4×Dic122—23no—
103C4×Dic122—23no—
104#14519742—23no—
105#14519742—23no—
106#14519742C2313yes—
107#14519742C2316yes—
108#14519742C2311yescharacteristic
109#14519742C2313yes—
110#14519742C2313yes—
111C4×D244—23no—
112C4×D244—23no—
113D4×Dic61D413yes—
114D4×Dic61D413yes—
115#14519739—23no—
116#14519739—23no—
117#14519739C2313yes—
118#14519739C2316yes—
119#14519739C2313yes—
120#14519739C2311yescharacteristic
121#14519739C2313yes—
122C4×C22⋊D61—26no—
123C4×C22⋊D61—26no—
124#14519737—23no—
125#14519737—23no—
126#14519737—23no—
127#14519737—23no—
128#14519736C2313yes—
129#14519735—23no—
130#14519735—23no—
131#14519734—23no—
132#14519734—23no—
133#14519733—26no—
134C2×#11758196—23no—
135C4⋊C4×D61—23no—
136C4⋊C4×D61—23no—
137C2×#11758198—23no—
138C22⋊C4×D61—26no—
139C2×C4×Dic61—23no—
140C2×C4×Dic61C2313yes—
141C42×D61—23no—
142C42×D61—23no—
143#14519700C2313yes—
144#14519700C2316yes—
145#14519700C2311yescharacteristic
146#14519700C2313yes—
147#14519700C2313yes—
148#14519697C2313yes—
149#14519697C2316yes—
150#14519697C2313yes—
151#14519697C2311yescharacteristic
152#14519697C2313yes—
153#14519687C2316yes—
154C8×Dic61C2311yescharacteristic
155C8×Dic61C2313yes—
156C8×Dic61C2313yes—
157C8×Dic61C2313yes—
158C2×#41×C61C2311yescharacteristic
159#131×C61C2×C418yescomplemented
160C2×M16×C61C2313yes—
161C22×C8×C61C2313yes—
162C4×Q8×C61—21no—
163C4×Q8×C61—21no—
164C4×D4×C61—23no—
165C4×D4×C61—23no—
166#117×C61C2313yes—
167#117×C61C2313yes—
168C2×C4⋊C4×C61C2313yes—
169C2×C4⋊C4×C61C2313yes—
170#107×C61C2313yes—
171#107×C61C2313yes—
172#106×C61C2313yes—
173#106×C61C2316yes—
174#106×C61C2311yescharacteristic
175C23×D61—23no—
176#41×C61C22×C414yes—
177#41×C61#4114yes—
178C2×Q8×C61C2×D411yescharacteristic
179C2×D4×C61C2×D413yes—
180C22×C4×C61—23no—
181C22×C4×C61—23no—
182C22×C4×C61C2413yes—
183C2×C22⋊D61—23no—
184C2×C22⋊D61—23no—
185C22×Dic61—23no—
186C22×Dic61C2×D413yes—
187C22×Dic61C2×D413yes—
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×C61C22×C4112yescomplemented
215C2×C8×C61C22×C4112yescomplemented
216C2×C8×C61C2411yescharacteristic
217C2×C8×C61C2413yes—
218C4⋊C4×C61—23no—
219C4⋊C4×C61—23no—
220C4⋊C4×C61C2413yes—
221C4⋊C4×C61C2413yes—
222C4⋊C4×C61C2411yescharacteristic
223C4⋊C4×C61C2411yescharacteristic
224C22⋊C4×C61—23no—
225C22⋊C4×C61—23no—
226C42×C61—23no—
227C42×C61—23no—
228C22⋊Dic61C2×D416yes—
229#11758198—23no—
230#11758198—26no—
231#11758198—23no—
232#11758198—21no—
233#11758198—23no—
234C4⋊Dic61C2×D413yes—
235C4⋊Dic61C2×D413yes—
236#11758196—23no—
237#11758196—26no—
238#11758196—23no—
239#11758196—23no—
240#11758196—21no—
241C4×Dic61—21no—
242C4×Dic61—23no—
243C4×Dic61—23no—
244C4×Dic61—23no—
245C4×Dic61—26no—
246C4×Dic61C2×D413yes—
247C4×Dic61C2×D413yes—
248C4×Dic61C2411yescharacteristic
249C4×Dic61C2413yes—
250#11758194—26no—
251C2×#92418—26no—
252C2×#92418C2411yescharacteristic
253C2×#92418C2413yes—
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—21no—
268C2×C4×C61—23no—
269C2×C4×C61—21no—
270C2×C4×C61—23no—
271C2×C4×C61—83no—
272C2×C4×C61—83no—
273C2×C4×C61C23×C416yes—
274C2×C4×C61C22×D413yes—
275C2×C4×C61C2×#4116yes—
276C2×C4×C61C2511yescharacteristic
277C22⋊D61—212no—
278C22⋊D61—212no—
279C2×Dic61—212no—
280C2×Dic61—23no—
281C2×Dic61—21no—
282C2×Dic61—26no—
283C2×Dic61—43no—
284C2×Dic61C22×D413yes—
285C2×Dic61C22×D413yes—
286C2×Dic61C22×D411yescharacteristic
287C2×Dic61C22×D411yescharacteristic
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×C61C23×C412yes—
306C8×C61C23×C416yes—
307#92418—21no—
308#92418—23no—
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—41no—
322C4×C61—43no—
323C4×C61—43no—
324C4×C61—41no—
325C4×C61C2×C4×D416yes—
326C4×C61C24×C411yescharacteristic
327C4×C61C22×#4111yescharacteristic
328Dic61—23no—
329Dic61—21no—
330Dic61—26no—
331Dic61—22no—
332Dic61—23no—
333Dic61#57712yescomplemented
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#2912D6111yescharacteristic, complemented
346#2898—611no—
347#2897—611no—
348C4×#131—611no—
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×#131—611no—
363C2×#131C2×D6111yescharacteristic
364#520—613no—
365#520—613no—
366#520—1223no—
367#520—1221no—
368#520C2×D6111yescharacteristic
369#520C2×D6111yescharacteristic
370#519—613no—
371#519—1221no—
372#518—613no—
373#518—1223no—
374C4×#41—611no—
375C4×#41—613no—
376C4×#41—613no—
377C4×#41—1223no—
378C4×#41—1221no—
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#428C2×D6113yescomplemented
399#428C2×D6113yescomplemented
400#427C2×D6113yescomplemented
401C2×#106C2×D6113yescomplemented
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#405—613no—
411#405—613no—
412C4×M16—613no—
413C2×C4×C8—613no—
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—1224no—
439#131C4×D6118yescomplemented
440C2×M16—613no—
441C2×M16C22×D6113yes—
442C22×C8—613no—
443C22×C8C22×D6113yes—
444C4×Q8—21no—
445C4×Q8—21no—
446C4×Q8—611no—
447C4×Q8—611no—
448C4×Q8—613no—
449C4×Q8—616no—
450C4×Q8—611no—
451C4×Q8—613no—
452C4×Q8—613no—
453C4×Q8—1223no—
454C4×Q8—1223no—
455C4×Q8—1223no—
456C4×Q8—1223no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—613no—
460C4×D4—613no—
461C4×D4—613no—
462C4×D4—616no—
463C4×D4—611no—
464C4×D4—613no—
465C4×D4—613no—
466C4×D4—1223no—
467C4×D4—1223no—
468C4×D4—1223no—
469C4×D4—1223no—
470C4×D4—1223no—
471C4×D4—1223no—
472C4×D4—1223no—
473C4×D4—1223no—
474C4×D4—1226no—
475C4×D4—1226no—
476#117—613no—
477#117—1223no—
478#117—1223no—
479#117—1226no—
480#117—1223no—
481#117—1223no—
482#117C22×D6113yes—
483#117C22×D6113yes—
484C2×C4⋊C4—1223no—
485C2×C4⋊C4—1223no—
486C2×C4⋊C4—1223no—
487C2×C4⋊C4C22×D6113yes—
488C2×C4⋊C4C22×D6113yes—
489C2×C22⋊C4—1226no—
490C2×C22⋊C4—1223no—
491C2×C42—613no—
492C2×C42—1223no—
493C2×C42—1223no—
494C2×C42—1223no—
495#107C22×D6113yes—
496#107C22×D6113yes—
497#106C22×D6113yes—
498#106C22×D6116yes—
499#106C22×D6111yescharacteristic
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#97—616no—
511C4×C8—611no—
512C4×C8—613no—
513C4×C8—613no—
514C4×C8—613no—
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#1175822614yes—
524C2×Q8—6112no—
525C2×Q8—613no—
526C2×Q8—611no—
527C2×Q8—1228no—
528C2×Q8—1223no—
529C2×Q8—1226no—
530C2×Q8D4×D6111yescharacteristic
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×D4D4×D6113yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—613no—
543C22×C4—613no—
544C22×C4—1223no—
545C22×C4—1223no—
546C22×C4—1226no—
547C22×C4—1221no—
548C22×C4—1223no—
549C22×C4—1223no—
550C22×C4—1223no—
551C22×C4—1223no—
552C22×C4—4886no—
553C22×C4C23×D6113yes—
554Q16—6112no—
555SD16—6112no—
556SD16—6124no—
557SD16—614no—
558D8—6112no—
559M16—1226no—
560M16C2×C4×D61112yescomplemented
561C2×C8—611no—
562C2×C8—613no—
563C2×C8—1226no—
564C2×C8C2×C4×D61112yescomplemented
565C2×C8C23×D6111yescharacteristic
566C2×C8C23×D6113yes—
567C4⋊C4—23no—
568C4⋊C4—23no—
569C4⋊C4—613no—
570C4⋊C4—613no—
571C4⋊C4—1223no—
572C4⋊C4—1223no—
573C4⋊C4—1226no—
574C4⋊C4—1221no—
575C4⋊C4—1223no—
576C4⋊C4C23×D6113yes—
577C4⋊C4C23×D6111yescharacteristic
578C4⋊C4C23×D6113yes—
579C4⋊C4C23×D6111yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—23no—
582C22⋊C4—616no—
583C22⋊C4—1223no—
584C22⋊C4—1223no—
585C22⋊C4—1226no—
586C22⋊C4—1221no—
587C22⋊C4—1223no—
588C42—23no—
589C42—23no—
590C42—613no—
591C42—613no—
592C42—611no—
593C42—613no—
594C42—1221no—
595C42—1223no—
596C42—1223no—
597C42—1223no—
598C42—1226no—
599C23—12212no—
600C23—1221no—
601C23—1223no—
602C23—4883no—
603C23—4883no—
604C23C2×D4×D6113yes—
605Q8—616no—
606Q8—612no—
607Q8—12212no—
608Q8—1223no—
609Q8—1221no—
610Q8#1451973914yes—
611D4—612no—
612D4—616no—
613D4—12212no—
614D4—12212no—
615D4—12212no—
616D4—1223no—
617D4—1221no—
618D4#14519739112yes—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—23no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—611no—
626C2×C4—611no—
627C2×C4—613no—
628C2×C4—613no—
629C2×C4—1226no—
630C2×C4—12212no—
631C2×C4—1221no—
632C2×C4—1223no—
633C2×C4—12212no—
634C2×C4—12212no—
635C2×C4—4883no—
636C2×C4—4883no—
637C2×C4—4886no—
638C2×C4—2442no—
639C2×C4—2446no—
640C2×C4—2443no—
641C2×C4C22×C4×D6116yes—
642C2×C4C2×D4×D6113yes—
643C2×C4C2×#1175822616yes—
644C2×C4C24×D6111yescharacteristic
645C8—1221no—
646C8—1223no—
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×#1451973916yes—
659C22C22×D4×D6111yescharacteristic
660C4—43no—
661C4—41no—
662C4—43no—
663C4—41no—
664C4—612no—
665C4—1222no—
666C4—1226no—
667C4—1223no—
668C4—1223no—
669C4—1221no—
670C4C2×#1451973916yes—
671C4C23×C4×D6111yescharacteristic
672C4C22×#1175822611yescharacteristic
673C2—26no—
674C2—2446no—
675C2—2442no—
676C2C22×#1451973911yescharacteristic
677C2#577×D6111yescharacteristic
678C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutatorC4×C61C24×C4
FrattiniC2×C4C24×D61
FittingC61×#2912C2
socleC22×C61C23×D4
prime radicalC2×#16840574C2
cosocleC2×C4×C61C25
hypercenter#2912D61
hypocenterC61C4×#577
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2912

Complements

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

NH ≅ G/Ntype
2. #21459030C2semidirect
3. #21459025C2semidirect
4. #21454702C2semidirect
5. #21454677C2semidirect
6. #21454660C2semidirect
7. #21454649C2semidirect
8. #21454637C2semidirect
9. #21454626C2semidirect
10. #21454590C2semidirect
11. C2×#16839849C2semidirect
12. #21454349C2semidirect
13. #21454342C2semidirect
14. #131×Dic61C2semidirect
15. C61×#2912C2semidirect
18. #16840574C4semidirect
26. #16840243C22semidirect
28. #16840239C22semidirect
35. #16840230C22semidirect
37. C2×#14519742C22semidirect
41. #16839873C22semidirect
42. #16839868C22semidirect
43. #16839861C22semidirect
44. #16839861C22semidirect
45. #16839856C22semidirect
46. #16839856C22semidirect
47. #16839849C22semidirect
48. #16839849C22semidirect
49. #16839849C22semidirect
50. #16839849C22semidirect
51. #16839849C22semidirect
52. #16839849C22semidirect
53. #16839849C22semidirect
54. #16839844C22semidirect
55. #16839844C22semidirect
56. #16839770C22semidirect
59. #16839761C22semidirect
61. #16839756C22semidirect
62. C2×#14519700C22semidirect
64. #16839720C22semidirect
65. #16839717C22semidirect
66. M16×Dic61C22semidirect
67. C2×C8×Dic61C22semidirect
71. C61×#428C22semidirect
72. C61×#428C22semidirect
73. C61×#427C22semidirect
74. C2×#106×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
214. M16×C61C22×C4semidirect
215. C2×C8×C61C22×C4semidirect
254. Dic244C22×C4semidirect
255. D488C22×C4semidirect
256. #11758190C22×C4semidirect
257. #11758190C22×C4semidirect
258. #11758190C22×C4semidirect
333. Dic61#577semidirect
345. #2912D61semidirect
398. #428C2×D61semidirect
399. #428C2×D61semidirect
400. #427C2×D61semidirect
401. C2×#106C2×D61semidirect
414. C61C4×#577semidirect
439. #131C4×D61semidirect
560. M16C2×C4×D61semidirect
564. C2×C8C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405742
#214590302
#214590252
#214547022
#214546772
#214546602
#214546492
#214546372
#214546262
#214545902
C2×#168398492
#214543492
#214543422
#131×Dic612
C61×#29122
C4×#57761