Finite Group Databasebeta

← #30544251

Subgroups — #30544251

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×#16840573C211yesmaximal, characteristic
2#21459030C211yesmaximal, characteristic, complemented
3H(5,𝔽2)×Dic61C211yesmaximal, characteristic, complemented
4#21454698C213yesmaximal, complemented
5#21454681C213yesmaximal, complemented
6#21454665C213yesmaximal, complemented
7#21454645C213yesmaximal, complemented
8#21454643C213yesmaximal, complemented
9#21454623C213yesmaximal, complemented
10#21454587C213yesmaximal, complemented
11C2×#16839853C213yesmaximal, complemented
12#21454412C211yesmaximal, characteristic, complemented
13#21454353C211yesmaximal, characteristic, complemented
14#131×Dic61C211yesmaximal, characteristic, complemented
15C61×#2897C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17#16840573C4116yescomplemented
18C2×#14519807C2213yes—
19C2×#14519803C2213yes—
20C2×#14519797C2213yes—
21C22×#11758200C2213yes—
22C2×#14519784C2211yescharacteristic
23#16840245—21no—
24#16840245C2213yes—
25#16840245C2211yescharacteristic
26#16840243C2213yescomplemented
27#16840241—23no—
28#16840239C2213yescomplemented
29#16840238—21no—
30#16840237—23no—
31#16840237C2213yes—
32#41×Dic61—21no—
33#41×Dic61C2213yes—
34#41×Dic61C2211yescharacteristic
35#16840230C2213yescomplemented
36C4×#11758224—23no—
37C2×#14519742C2213yescomplemented
38C4×Q8×D61—21no—
39C2×D4×Dic61—23no—
40C2×D4×Dic61C2213yes—
41#16839871C2216yescomplemented
42#16839866C2216yescomplemented
43#16839859C2216yescomplemented
44#16839859C2216yescomplemented
45#16839854C2213yescomplemented
46#16839854C2213yescomplemented
47#16839853C2216yescomplemented
48#16839853C2216yescomplemented
49#16839853C2213yescomplemented
50#16839853C2216yescomplemented
51#16839853C2213yescomplemented
52#16839847C2213yescomplemented
53#16839847C2211yescharacteristic, complemented
54#16839842C2213yescomplemented
55#16839842C2213yescomplemented
56#16839805C2213yescomplemented
57#16839802C2213yescomplemented
58#16839798C2213yescomplemented
59C2×#14519708C2213yescomplemented
60#16839772C2213yescomplemented
61#16839764C2213yescomplemented
62#16839759C2213yescomplemented
63C2×#14519702C2213yescomplemented
64#16839720C2213yescomplemented
65#16839717C2213yescomplemented
66M16×Dic61C2213yescomplemented
67C2×C8×Dic61C2213yescomplemented
68C2×H(5,𝔽2)×C61C2211yescharacteristic
69C2×#131×C61C2211yescharacteristic
70C61×#520C2211yescharacteristic
71C61×#418C2213yes—
72C61×#417C2213yes—
73C61×#416C2213yes—
74C2×#102×C61C2213yes—
75#14519824—24no—
76#14519824C2×C418yescomplemented
77C2×#11758222C2313yes—
78C2×#11758224—23no—
79C22×Dic122C2313yes—
80C2×Q8×D61—21no—
81C23×Dic61—23no—
82#14519807C2×C4124yescomplemented
83#14519803C2×C4124yescomplemented
84#14519797C2×C4124yescomplemented
85C2×#11758202C2313yes—
86C2×#11758200C2×C4124yescomplemented
87C2×#11758200C2313yes—
88C2×#11758200C2316yes—
89C2×#11758201C2311yescharacteristic
90C2×#11758199C2313yes—
91#14519784C2×C418yescomplemented
92C2×#11758194C2313yes—
93C22×#92418C2313yes—
94Q8×Dic61—21no—
95Q8×Dic61D411yescharacteristic
96Q8×Dic61D411yescharacteristic
97Q8×Dic61C2311yescharacteristic
98Q8×Dic61C2313yes—
99C4×Dic122—23no—
100C4×Dic122—23no—
101#14519742—23no—
102#14519742—23no—
103#14519742C2313yes—
104#14519742C2316yes—
105#14519742C2313yes—
106D4×Dic61—23no—
107D4×Dic61—23no—
108D4×Dic61—23no—
109D4×Dic61—26no—
110D4×Dic61—23no—
111D4×Dic61—23no—
112D4×Dic61—23no—
113D4×Dic61—23no—
114D4×Dic61D413yes—
115D4×Dic61D413yes—
116D4×Dic61C2313yes—
117D4×Dic61C2316yes—
118D4×Dic61C2313yes—
119#14519739C2311yescharacteristic
120#14519739C2313yes—
121C4×C22⋊D61—26no—
122#14519737—23no—
123#14519737—23no—
124#14519736—23no—
125#14519736—23no—
126#14519736C2313yes—
127#14519736C2313yes—
128#14519735—23no—
129#14519734—23no—
130#14519733—26no—
131C2×C4⋊Dic61—23no—
132C2×C4⋊Dic61C2313yes—
133C2×#11758196—23no—
134C4⋊C4×D61—23no—
135C2×C22⋊Dic61—23no—
136C2×C22⋊Dic61—26no—
137C2×C4×Dic61—23no—
138C2×C4×Dic61—23no—
139C2×C4×Dic61C2313yes—
140C42×D61—23no—
141#14519710C2313yes—
142#14519710C2313yes—
143#14519708C2313yes—
144#14519708C2316yes—
145#14519708C2311yescharacteristic
146#14519702C2313yes—
147#14519702C2316yes—
148#14519702C2313yes—
149#14519699C2311yescharacteristic
150#14519699C2313yes—
151#14519687C2316yes—
152C8×Dic61C2311yescharacteristic
153C8×Dic61C2313yes—
154C8×Dic61C2313yes—
155C8×Dic61C2313yes—
156H(5,𝔽2)×C61—24no—
157H(5,𝔽2)×C61C2×C418yescomplemented
158C2×#41×C61—21no—
159C2×#41×C61C2313yes—
160C2×#41×C61C2311yescharacteristic
161C22×D4×C61—23no—
162C22×D4×C61C2313yes—
163#131×C61—24no—
164C2×M16×C61C2313yes—
165C22×C8×C61C2313yes—
166C4×Q8×C61—21no—
167C4×D4×C61—23no—
168#117×C61C2313yes—
169C2×C4⋊C4×C61C2313yes—
170#103×C61C2311yescharacteristic
171#103×C61C2313yes—
172#102×C61C2313yes—
173#102×C61C2316yes—
174#102×C61C2313yes—
175C24×C61—23no—
176#41×C61—28no—
177#41×C61—26no—
178#41×C61C22×C4112yes—
179#41×C61C22×C414yes—
180#41×C61#4114yes—
181C2×Q8×C61C2×D411yescharacteristic
182C2×Q8×C61C2411yescharacteristic
183C2×D4×C61—23no—
184C2×D4×C61—224no—
185C2×D4×C61—23no—
186C2×D4×C61—26no—
187C2×D4×C61C22×C4112yes—
188C2×D4×C61C2×D413yes—
189C2×D4×C61C2413yes—
190C22×C4×C61—23no—
191C22×C4×C61—23no—
192C22×C4×C61C2413yes—
193C2×C22⋊D61—23no—
194C22×Dic61—23no—
195C22×Dic61—23no—
196C22×Dic61—23no—
197C22×Dic61—26no—
198C22×Dic61—23no—
199C22×Dic61—86no—
200C22×Dic61C2×D413yes—
201C22×Dic61C2×D413yes—
202Q8×D61—28no—
203#11758224—224no—
204#11758222—26no—
205#11758222C22×C4112yescomplemented
206C2×D244C2411yescharacteristic
207C2×C4×D61—23no—
208C2×C4×D61—21no—
209C2×C4×D61—23no—
210C2×Dic122—23no—
211C2×Dic122—26no—
212C2×Dic122C22×C4112yescomplemented
213C2×Dic122C2413yes—
214M16×C61—26no—
215C2×C8×C61—26no—
216C2×C8×C61C2411yescharacteristic
217C2×C8×C61C2413yes—
218C4⋊C4×C61—23no—
219C4⋊C4×C61C2413yes—
220C4⋊C4×C61C2411yescharacteristic
221C22⋊C4×C61—23no—
222C42×C61—23no—
223C22⋊Dic61—23no—
224C22⋊Dic61—23no—
225C22⋊Dic61—26no—
226C22⋊Dic61—23no—
227C22⋊Dic61C2×D416yes—
228#11758202C22×C4112yescomplemented
229#11758201C22×C414yescomplemented
230#11758200C22×C4112yescomplemented
231#11758200C22×C4124yescomplemented
232#11758199C22×C4112yescomplemented
233#11758198—21no—
234#11758198—23no—
235C4⋊Dic61—23no—
236C4⋊Dic61—23no—
237C4⋊Dic61—21no—
238C4⋊Dic61C2×D413yes—
239C4⋊Dic61C2×D413yes—
240C4⋊Dic61C2413yes—
241C4⋊Dic61C2411yescharacteristic
242#11758196—26no—
243#11758196—23no—
244#11758196—23no—
245C4×Dic61—23no—
246C4×Dic61—23no—
247C4×Dic61—23no—
248C4×Dic61—21no—
249C4×Dic61—26no—
250C4×Dic61—23no—
251C4×Dic61C2×D413yes—
252C4×Dic61C2×D413yes—
253C4×Dic61C2411yescharacteristic
254C4×Dic61C2413yes—
255#11758194C22×C4112yescomplemented
256C2×#92418C22×C4112yescomplemented
257C2×#92418C2411yescharacteristic
258C2×#92418C2413yes—
259C23×C61—23no—
260C23×C61—212no—
261C23×C61—83no—
262C23×C61—83no—
263C23×C61C22×D413yes—
264C22×D61—21no—
265Q8×C61—21no—
266Q8×C61C4×D414yes—
267Q8×C61C23×C412yes—
268D4×C61—212no—
269D4×C61—212no—
270D4×C61—23no—
271D4×C61C4×D4112yes—
272D4×C61C23×C416yes—
273C2×C4×C61—21no—
274C2×C4×C61—212no—
275C2×C4×C61—21no—
276C2×C4×C61—23no—
277C2×C4×C61—83no—
278C2×C4×C61C23×C416yes—
279C2×C4×C61C22×D413yes—
280C2×C4×C61C2×#4116yes—
281C2×C4×C61C2511yescharacteristic
282C22⋊D61—212no—
283C2×Dic61—212no—
284C2×Dic61—23no—
285C2×Dic61—26no—
286C2×Dic61—21no—
287C2×Dic61—23no—
288C2×Dic61—43no—
289C2×Dic61—46no—
290C2×Dic61—83no—
291C2×Dic61—86no—
292C2×Dic61—83no—
293C2×Dic61C22×D413yes—
294C2×Dic61C22×D413yes—
295C2×Dic61C22×D411yescharacteristic
296C2×Dic61C22×D411yescharacteristic
297D244—21no—
298D244C23×C412yes—
299C4×D61—212no—
300C4×D61—42no—
301C4×D61—83no—
302Dic122—212no—
303Dic122—23no—
304Dic122C23×C416yes—
305C8×C61—21no—
306C8×C61—23no—
307#92418C23×C412yes—
308#92418C23×C416yes—
309C4×#577—611nomaximal, Sylow
310C22×C61—23no—
311C22×C61—23no—
312C22×C61—26no—
313C22×C61—43no—
314C22×C61—43no—
315C22×C61—812no—
316C22×C61C2×C4×D416yes—
317C22×C61C23×D411yescharacteristic
318C2×D61—22no—
319C2×D61—41no—
320C2×D61—41no—
321C4×C61—22no—
322C4×C61—43no—
323C4×C61—41no—
324C4×C61C2×C4×D416yes—
325C4×C61C24×C411yescharacteristic
326C4×C61C22×#4111yescharacteristic
327Dic61—23no—
328Dic61—21no—
329Dic61—26no—
330Dic61—23no—
331Dic61—41no—
332Dic61—43no—
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#2912—611no—
346#2898—611no—
347#2897D6111yescharacteristic, complemented
348C4×#131—611no—
349C2×C61—26no—
350C2×C61—46no—
351C2×C61C22×C4×D411yescharacteristic
352C2×C61C2×#57711yescharacteristic
353C2×C61#358411yescharacteristic
354D61—42no—
355C2×2−1+4—611no—
356C2×H(5,𝔽2)C2×D6111yescharacteristic
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—611no—
365#520—613no—
366#520—613no—
367#520—1223no—
368#520—1221no—
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—611no—
390C4×SD16—613no—
391C4×SD16—613no—
392C4×SD16—616no—
393C4×SD16—616no—
394C4×SD16—616no—
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#418C2×D6113yes—
404#417—613no—
405#417C2×D6113yes—
406#416—613no—
407#416C2×D6113yes—
408C2×#103—613no—
409C2×#102C2×D6113yes—
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)—24no—
418H(5,𝔽2)C4×D6118yescomplemented
419C2×#41—21no—
420C2×#41—613no—
421C2×#41—1223no—
422C2×#41C22×D6113yes—
423C2×#41C22×D6111yescharacteristic
424C22×Q8—613no—
425C22×Q8—1221no—
426C22×D4—23no—
427C22×D4C22×D6113yes—
428C23×C4—1223no—
429#137—6124no—
430AGL(1,ℤ/8)—6124no—
431#135—6124no—
432C2×Q16—613no—
433C2×SD16—611no—
434C2×SD16—6124no—
435C2×SD16—613no—
436C2×SD16—616no—
437C2×D8—613no—
438#131—24no—
439#131—618no—
440C2×M16—613no—
441C2×M16C22×D6113yes—
442C22×C8—613no—
443C22×C8C22×D6113yes—
444C4×Q8—21no—
445C4×Q8—611no—
446C4×Q8—611no—
447C4×Q8—611no—
448C4×Q8—613no—
449C4×Q8—613no—
450C4×Q8—616no—
451C4×Q8—613no—
452C4×Q8—1223no—
453C4×Q8—1223no—
454C4×Q8—1223no—
455C4×Q8—1223no—
456C4×Q8—1221no—
457C4×D4—23no—
458C4×D4—613no—
459C4×D4—613no—
460C4×D4—613no—
461C4×D4—616no—
462C4×D4—613no—
463C4×D4—611no—
464C4×D4—613no—
465C4×D4—1223no—
466C4×D4—1223no—
467C4×D4—1223no—
468C4×D4—1223no—
469C4×D4—1226no—
470C4×D4—1226no—
471C4×D4—1223no—
472C4×D4—1223no—
473C4×D4—1223no—
474C4×D4—1223no—
475C4×D4—1223no—
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—1223no—
486C2×C4⋊C4—1223no—
487C2×C4⋊C4—1223no—
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#107—613no—
496#107—613no—
497#106—613no—
498#106—616no—
499#106—611no—
500#103—613no—
501#103—616no—
502#103—613no—
503#103C22×D6111yescharacteristic
504#103C22×D6113yes—
505#102—611no—
506#102—613no—
507#102C22×D6113yes—
508#102C22×D6116yes—
509#102C22×D6113yes—
510#97—616no—
511C4×C8—611no—
512C4×C8—613no—
513C4×C8—613no—
514C4×C8—613no—
515C24—23no—
516#41—28no—
517#41—26no—
518#41—6112no—
519#41—12224no—
520#41—1226no—
521#41C2×C4×D61112yes—
522#41C2×C4×D6114yes—
523#41#1175822414yes—
524C2×Q8—6112no—
525C2×Q8—613no—
526C2×Q8—1228no—
527C2×Q8—1223no—
528C2×Q8—1226no—
529C2×Q8D4×D6111yescharacteristic
530C2×Q8C23×D6111yescharacteristic
531C2×D4—23no—
532C2×D4—224no—
533C2×D4—23no—
534C2×D4—26no—
535C2×D4—611no—
536C2×D4—1223no—
537C2×D4C2×C4×D61112yes—
538C2×D4D4×D6113yes—
539C2×D4C23×D6113yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—613no—
543C22×C4—613no—
544C22×C4—1223no—
545C22×C4—1221no—
546C22×C4—1223no—
547C22×C4—1226no—
548C22×C4—1223no—
549C22×C4—1223no—
550C22×C4—1223no—
551C22×C4—1223no—
552C22×C4—4886no—
553C22×C4C23×D6113yes—
554Q16—6112no—
555SD16—614no—
556SD16—6112no—
557SD16—6124no—
558D8—6112no—
559M16—26no—
560M16—6112no—
561C2×C8—26no—
562C2×C8—6112no—
563C2×C8—611no—
564C2×C8—613no—
565C2×C8C23×D6111yescharacteristic
566C2×C8C23×D6113yes—
567C4⋊C4—23no—
568C4⋊C4—613no—
569C4⋊C4—613no—
570C4⋊C4—613no—
571C4⋊C4—611no—
572C4⋊C4—1223no—
573C4⋊C4—1226no—
574C4⋊C4—1223no—
575C4⋊C4—1223no—
576C4⋊C4—1221no—
577C4⋊C4—1223no—
578C4⋊C4C23×D6113yes—
579C4⋊C4C23×D6111yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—616no—
582C22⋊C4—1221no—
583C22⋊C4—1223no—
584C22⋊C4—1223no—
585C22⋊C4—1223no—
586C22⋊C4—1226no—
587C22⋊C4—1223no—
588C42—23no—
589C42—613no—
590C42—613no—
591C42—611no—
592C42—613no—
593C42—1221no—
594C42—1223no—
595C42—1223no—
596C42—1223no—
597C42—1226no—
598C42—1223no—
599C23—23no—
600C23—212no—
601C23—83no—
602C23—83no—
603C23—1221no—
604C23C2×D4×D6113yes—
605Q8—21no—
606Q8—616no—
607Q8—12212no—
608Q8—1223no—
609Q8#1451973714yes—
610Q8C22×C4×D6112yes—
611D4—212no—
612D4—212no—
613D4—23no—
614D4—612no—
615D4—12212no—
616D4—1221no—
617D4#14519737112yes—
618D4C22×C4×D6116yes—
619C2×C4—21no—
620C2×C4—212no—
621C2×C4—21no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—611no—
625C2×C4—611no—
626C2×C4—613no—
627C2×C4—613no—
628C2×C4—1226no—
629C2×C4—12212no—
630C2×C4—1223no—
631C2×C4—12212no—
632C2×C4—1221no—
633C2×C4—1223no—
634C2×C4—4883no—
635C2×C4—4883no—
636C2×C4—4886no—
637C2×C4—4883no—
638C2×C4—2442no—
639C2×C4—2446no—
640C2×C4—2443no—
641C2×C4C22×C4×D6116yes—
642C2×C4C2×D4×D6113yes—
643C2×C4C2×#1175822416yes—
644C2×C4C24×D6111yescharacteristic
645C8—21no—
646C8—23no—
647C8—612no—
648C8—616no—
649C22—23no—
650C22—23no—
651C22—26no—
652C22—43no—
653C22—43no—
654C22—812no—
655C22—1222no—
656C22—2441no—
657C22—2441no—
658C22C2×#1451973716yes—
659C22C22×D4×D6111yescharacteristic
660C4—22no—
661C4—41no—
662C4—43no—
663C4—612no—
664C4—1226no—
665C4—1223no—
666C4—1223no—
667C4—1221no—
668C4—2443no—
669C4—2441no—
670C4C2×#1451973716yes—
671C4C23×C4×D6111yescharacteristic
672C4C22×#1175822411yescharacteristic
673C2—26no—
674C2—46no—
675C2—2442no—
676C2C22×#1451973711yescharacteristic
677C2#577×D6111yescharacteristic
678C2#2146058711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutatorC4×C61C24×C4
FrattiniC2×C4C24×D61
FittingC61×#2897C2
socleC22×C61C23×D4
prime radicalC2×#16840573C2
cosocleC2×C4×C61C25
hypercenter#2897D61
hypocenterC61C4×#577
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #21459030C2semidirect
3. H(5,𝔽2)×Dic61C2semidirect
4. #21454698C2semidirect
5. #21454681C2semidirect
6. #21454665C2semidirect
7. #21454645C2semidirect
8. #21454643C2semidirect
9. #21454623C2semidirect
10. #21454587C2semidirect
11. C2×#16839853C2semidirect
12. #21454412C2semidirect
13. #21454353C2semidirect
14. #131×Dic61C2semidirect
15. C61×#2897C2semidirect
17. #16840573C4semidirect
26. #16840243C22semidirect
28. #16840239C22semidirect
35. #16840230C22semidirect
37. C2×#14519742C22semidirect
41. #16839871C22semidirect
42. #16839866C22semidirect
43. #16839859C22semidirect
44. #16839859C22semidirect
45. #16839854C22semidirect
46. #16839854C22semidirect
47. #16839853C22semidirect
48. #16839853C22semidirect
49. #16839853C22semidirect
50. #16839853C22semidirect
51. #16839853C22semidirect
52. #16839847C22semidirect
53. #16839847C22semidirect
54. #16839842C22semidirect
55. #16839842C22semidirect
56. #16839805C22semidirect
57. #16839802C22semidirect
58. #16839798C22semidirect
59. C2×#14519708C22semidirect
60. #16839772C22semidirect
61. #16839764C22semidirect
62. #16839759C22semidirect
63. C2×#14519702C22semidirect
64. #16839720C22semidirect
65. #16839717C22semidirect
66. M16×Dic61C22semidirect
67. C2×C8×Dic61C22semidirect
76. #14519824C2×C4semidirect
82. #14519807C2×C4semidirect
83. #14519803C2×C4semidirect
84. #14519797C2×C4semidirect
86. C2×#11758200C2×C4semidirect
91. #14519784C2×C4semidirect
157. H(5,𝔽2)×C61C2×C4semidirect
205. #11758222C22×C4semidirect
212. C2×Dic122C22×C4semidirect
228. #11758202C22×C4semidirect
229. #11758201C22×C4semidirect
230. #11758200C22×C4semidirect
231. #11758200C22×C4semidirect
232. #11758199C22×C4semidirect
255. #11758194C22×C4semidirect
256. C2×#92418C22×C4semidirect
333. Dic61#577semidirect
347. #2897D61semidirect
414. C61C4×#577semidirect
418. H(5,𝔽2)C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405732
#214590302
H(5,𝔽2)×Dic612
#214546982
#214546812
#214546652
#214546452
#214546432
#214546232
#214545872
C2×#168398532
#214544122
#214543532
#131×Dic612
C61×#28972
C4×#57761