Finite Group Databasebeta

← #29696515

Subgroups — #29696515

Order 15616.

1126 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459377C211yesmaximal, characteristic
2#21448284C211yesmaximal, characteristic, complemented
3#21446795C211yesmaximal, characteristic, complemented
4#21446763C211yesmaximal, characteristic, complemented
5#21446265C212yesmaximal, complemented
6#21446121C212yesmaximal, complemented
7#21445916C212yesmaximal, complemented
8#21445836C211yesmaximal, characteristic, complemented
9C4×#14519703C211yesmaximal, characteristic, complemented
10#21445530C212yesmaximal, complemented
11D4×M16×C61C211yesmaximal, characteristic, complemented
12#16840482C411yescharacteristic, complemented
13#16840477C411yescharacteristic, complemented
14#16840469C411yescharacteristic, complemented
15#16840458C412yescomplemented
16#16840452C412yescomplemented
17#16840447—21no—
18#16840438—22no—
19#16840416C411yescharacteristic, complemented
20#16840406—21no—
21#16840319C2211yescharacteristic
22#16840294—21no—
23#16840292—22no—
24#16840273C2212yes—
25C4×#11758222C2211yescharacteristic
26C4×#11758224—21no—
27C2×#14519736C2212yes—
28C2×#14519736C2212yes—
29C2×#14519703C2211yescharacteristic
30C2×#14519703C2211yescharacteristic
31C2×#14519703C2212yes—
32#16839665—21no—
33#16839661—21no—
34#16839655—22no—
35C4×C4⋊Dic61C2211yescharacteristic
36C4×C22⋊Dic61C2212yes—
37C42×Dic61C2211yescharacteristic
38#16839523C2211yescharacteristic
39#16839523C2212yes—
40#16839523C2212yes—
41#16839523C2212yes—
42#16839523C2212yes—
43#16839523C2212yes—
44#16839523C2211yescharacteristic
45C22×M16×C61C2212yes—
46C2×C4×D4×C61C2211yescharacteristic
47C61×#436—21no—
48C61×#435—22no—
49C8×D4×C61—21no—
50C61×#423C2211yescharacteristic
51C61×#407C2212yes—
52C4×M16×C61C2211yescharacteristic
53C2×#11758222C2311yescharacteristic
54C2×#11758224—21no—
55#14519777C2×C411yescharacteristic
56#14519777C2×C411yescharacteristic
57#14519772—22no—
58#14519770—22no—
59#14519770—22no—
60#14519769C2×C412yes—
61#14519768—21no—
62#14519767—22no—
63#14519764—21no—
64#14519763—22no—
65#14519761—22no—
66#14519760—22no—
67#14519759—22no—
68#14519758—22no—
69#14519757—21no—
70#14519756—21no—
71#14519756—21no—
72#14519756C2×C412yes—
73#14519756C2×C412yes—
74#14519754—22no—
75#14519751C2×C412yes—
76#14519751C2×C412yes—
77#14519749—22no—
78#14519748—21no—
79#14519746—22no—
80C4×Dic122—21no—
81C4×Dic122—21no—
82C4×Dic122C2×C411yescharacteristic
83C4×Dic122C2×C411yescharacteristic
84#14519742—21no—
85C4×D244C2×C411yescharacteristic
86C4×D244C2×C411yescharacteristic
87D4×Dic61—21no—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—21no—
90C4×C22⋊D61—21no—
91C4×C22⋊D61—22no—
92#14519737—22no—
93#14519736—22no—
94#14519736—22no—
95#14519736—24no—
96#14519736—42no—
97#14519736C2×C412yes—
98#14519736C2×C412yes—
99#14519736C2311yescharacteristic
100#14519736C2312yes—
101#14519735—21no—
102#14519734—21no—
103#14519733—22no—
104C2×C4⋊Dic61—22no—
105C2×C4⋊Dic61—21no—
106C2×C4⋊Dic61C2×C412yes—
107C2×C4⋊Dic61C2×C412yes—
108C2×C22⋊Dic61—22no—
109C2×C22⋊Dic61—22no—
110C2×C22⋊Dic61—22no—
111C2×C4×Dic61—22no—
112C2×C4×Dic61—21no—
113C2×C4×Dic61—21no—
114C2×C4×Dic61C2312yes—
115C2×C4×Dic61C2311yescharacteristic
116C2×C4×Dic61C2311yescharacteristic
117C42×D61—21no—
118#14519703—22no—
119#14519703—22no—
120#14519703—42no—
121#14519684—22no—
122#14519684—21no—
123C22×D4×C61D411yescharacteristic
124C23×C4×C61C2312yes—
125C2×M16×C61—22no—
126C2×M16×C61—24no—
127C2×M16×C61—42no—
128C2×M16×C61C2312yes—
129C2×M16×C61C2311yescharacteristic
130C2×M16×C61C2311yescharacteristic
131C22×C8×C61—22no—
132C4×D4×C61C2×C412yes—
133C4×D4×C61C2×C411yescharacteristic
134C4×D4×C61C2×C411yescharacteristic
135C4×D4×C61D411yescharacteristic
136C4×D4×C61D412yes—
137C4×D4×C61D411yescharacteristic
138C2×C4⋊C4×C61D411yescharacteristic
139C2×C22⋊C4×C61D412yes—
140C2×C42×C61C2311yescharacteristic
141C4⋊C8×C61—21no—
142C4⋊C8×C61—21no—
143C22⋊C8×C61—22no—
144C22⋊C8×C61—22no—
145#97×C61—21no—
146C4×C8×C61—21no—
147C24×C61C2×D412yes—
148C2×D4×C61—42no—
149C2×D4×C61C22⋊C411yescharacteristic
150C2×D4×C61C22⋊C411yescharacteristic
151C2×D4×C61C22⋊C412yes—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61C22×C412yes—
157C22×C4×C61C22×C412yes—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D412yes—
160C22×C4×C61C2×D412yes—
161C22×C4×C61C2×D412yes—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—22no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—22no—
167C22×Dic61—22no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172#11758224—44no—
173#11758222—21no—
174#11758222—21no—
175#11758222—21no—
176#11758222—21no—
177C2×D244C22×C411yescharacteristic
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122C22×C411yescharacteristic
184M16×C61—21no—
185M16×C61—22no—
186M16×C61—21no—
187M16×C61—22no—
188M16×C61—21no—
189M16×C61—44no—
190M16×C61#4112yescomplemented
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—22no—
194C2×C8×C61—44no—
195C4⋊C4×C61C22⋊C411yescharacteristic
196C4⋊C4×C61C22⋊C411yescharacteristic
197C4⋊C4×C61C22⋊C412yes—
198C22⋊C4×C61C22⋊C412yes—
199C22⋊C4×C61C22⋊C412yes—
200C22⋊C4×C61C22⋊C412yes—
201C22⋊C4×C61C22⋊C412yes—
202C42×C61C22×C411yescharacteristic
203C42×C61C22×C411yescharacteristic
204C42×C61C2×D411yescharacteristic
205C42×C61C2×D411yescharacteristic
206C22⋊Dic61—22no—
207C22⋊Dic61—22no—
208C22⋊Dic61—22no—
209C22⋊Dic61—22no—
210C22⋊Dic61—21no—
211C22⋊Dic61—22no—
212C22⋊Dic61—44no—
213C22⋊Dic61—44no—
214#11758198—21no—
215#11758198—21no—
216#11758198—22no—
217#11758198—22no—
218C4⋊Dic61—22no—
219C4⋊Dic61—22no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—44no—
223C4⋊Dic61—42no—
224C4⋊Dic61C22×C411yescharacteristic
225C4⋊Dic61C22×C411yescharacteristic
226C4⋊Dic61C22×C412yes—
227C4⋊Dic61C22×C412yes—
228#11758196—22no—
229#11758196—22no—
230#11758196—21no—
231#11758196—21no—
232#11758196—22no—
233#11758196—22no—
234C4×Dic61—21no—
235C4×Dic61—21no—
236C4×Dic61—22no—
237C4×Dic61—22no—
238C4×Dic61—21no—
239C4×Dic61—22no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61—22no—
243C4×Dic61—22no—
244C4×Dic61—21no—
245C4×Dic61—42no—
246C4×Dic61—42no—
247C4×Dic61#4112yescomplemented
248C23×C61—22no—
249C23×C61—22no—
250C23×C61—42no—
251C23×C61—42no—
252C23×C61C2×C22⋊C412yes—
253C23×C61C2×C22⋊C412yes—
254C23×C61C22×D411yescharacteristic
255C22×D61—21no—
256D4×C61—22no—
257D4×C61—22no—
258D4×C61—42no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—41no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C412yes—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C2×C4×C612−1+411yescharacteristic
283C22⋊D61—44no—
284C22⋊D61—41no—
285C22⋊D61—41no—
286C22⋊D61—82no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—44no—
298C2×Dic61—41no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—82no—
303D244—21no—
304D244—21no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—42no—
308C4×D61—81no—
309Dic122—21no—
310Dic122—21no—
311Dic122—42no—
312Dic122—81no—
313C8×C61—22no—
314C8×C61—42no—
315C8×C61—41no—
316#22507—611nomaximal, Sylow
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—82no—
326C22×C61—82no—
327C22×C61C22×C22⋊C411yescharacteristic
328C22×C61#54611yescharacteristic
329C22×C61#54711yescharacteristic
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—21no—
336C4×C61—21no—
337C4×C61—21no—
338C4×C61#42112yes—
339C4×C61C4×#4111yescharacteristic
340C4×C61#52011yescharacteristic
341C4×C61#54611yescharacteristic
342C4×C61#54711yescharacteristic
343Dic61—42no—
344Dic61—42no—
345Dic61—41no—
346Dic61—42no—
347Dic61—41no—
348Dic61—42no—
349Dic61—41no—
350Dic61—82no—
351#3475—611no—
352D4×M16D6111yescharacteristic, complemented
353#2293—611no—
354#1994—611no—
355#1986—611no—
356#1897—612no—
357#1871—612no—
358#1826—612no—
359#1806—611no—
360C4×#104—611no—
361#1733—612no—
362C2×C61—21no—
363C2×C61—21no—
364C2×C61—42no—
365C2×C61—42no—
366C2×C61#233911yescharacteristic
367C2×C61C2×#42111yescharacteristic
368C2×C61#290111yescharacteristic
369D61—81no—
370C22×M16C2×D6112yes—
371#556—611no—
372#555—611no—
373#554—611no—
374#553—612no—
375#552—612no—
376#552—1221no—
377#551—1222no—
378#547—611no—
379#546—1221no—
380#533—611no—
381#529—1222no—
382#529—1221no—
383#525—612no—
384C4×#41—611no—
385C4×#41—1221no—
386C2×C4×D4C2×D6111yescharacteristic
387C2×#117—612no—
388C2×#117—612no—
389#436—21no—
390#435—22no—
391C8×D4—21no—
392#423C2×D6111yescharacteristic
393C2×#104—611no—
394C2×#104—611no—
395C2×#104—612no—
396#407C2×D6112yes—
397C4×M16C2×D6111yescharacteristic
398#390—1221no—
399#389—1221no—
400#388—1222no—
401C4×C4⋊C4—611no—
402C4×C22⋊C4—612no—
403C43—611no—
404#339—612no—
405#339—611no—
406#339—612no—
407#339—612no—
408#339—612no—
409#339—612no—
410#339—611no—
411C61#2250711yescharacteristic, complemented, Sylow
412C2×#41—611no—
413C2×#41—1221no—
414C22×D4D24411yescharacteristic
415C23×C4C22×D6112yes—
416C2×M16—22no—
417C2×M16—24no—
418C2×M16—42no—
419C2×M16C22×D6112yes—
420C2×M16C22×D6111yescharacteristic
421C2×M16C22×D6111yescharacteristic
422C22×C8—22no—
423C4⋊Q8—611no—
424C4⋊Q8—611no—
425#126—1222no—
426#126—1222no—
427#126—1222no—
428#125—612no—
429#125—1222no—
430#125—1221no—
431#124—1221no—
432#124—1222no—
433#123—1222no—
434#123—1222no—
435#123—1222no—
436#123—1222no—
437C22⋊Q8—612no—
438C22⋊Q8—612no—
439C22⋊Q8—1221no—
440C22⋊Q8—1221no—
441C22⋊Q8—1221no—
442C22⋊Q8—1222no—
443#121—612no—
444#121—612no—
445#121—1222no—
446#121—1221no—
447#120—1222no—
448C4×Q8—611no—
449C4×Q8—611no—
450C4×Q8—1221no—
451C4×Q8—1221no—
452C4×Q8—1221no—
453C4×D4—611no—
454C4×D4—611no—
455C4×D4—1221no—
456C4×D4—1221no—
457C4×D4—1221no—
458C4×D4—1222no—
459C4×D4—1222no—
460C4×D4—1222no—
461C4×D4C4×D6111yescharacteristic
462C4×D4C4×D6112yes—
463C4×D4C4×D6111yescharacteristic
464C4×D4C22⋊D6111yescharacteristic
465C4×D4C22⋊D6111yescharacteristic
466C4×D4C22⋊D6112yes—
467#117—612no—
468#117—612no—
469#117—611no—
470#117—612no—
471#117—1224no—
472#117—1222no—
473#117—1222no—
474#117—1221no—
475#117—1222no—
476#117—1221no—
477#117—2442no—
478C2×C4⋊C4—612no—
479C2×C4⋊C4—612no—
480C2×C4⋊C4—1222no—
481C2×C4⋊C4—1221no—
482C2×C4⋊C4D24411yescharacteristic
483C2×C22⋊C4—1222no—
484C2×C22⋊C4—1222no—
485C2×C22⋊C4—1222no—
486C2×C22⋊C4D24412yes—
487C2×C42—611no—
488C2×C42—612no—
489C2×C42—611no—
490C2×C42—1222no—
491C2×C42—1221no—
492C2×C42—1221no—
493C2×C42—1221no—
494C2×C42C22×D6111yescharacteristic
495C4⋊C8—21no—
496C4⋊C8—21no—
497#104—1222no—
498#104—1222no—
499#104—2442no—
500C22⋊C8—22no—
501C22⋊C8—22no—
502#97—21no—
503C4×C8—21no—
504#95—1222no—
505#95—1221no—
506C24C2×D24412yes—
507#41—1221no—
508#41—1221no—
509#41—1221no—
510#41—1221no—
511#41—2444no—
512C2×Q8—611no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×D4—42no—
516C2×D4—611no—
517C2×D4—1222no—
518C2×D4—1221no—
519C2×D4—1222no—
520C2×D4#1175819811yescharacteristic
521C2×D4#1175819811yescharacteristic
522C2×D4#1175819812yes—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—1222no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1222no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1222no—
535C22×C4C2×C4×D6112yes—
536C22×C4C2×C4×D6112yes—
537C22×C4C2×D24412yes—
538C22×C4C2×D24411yescharacteristic
539C22×C4C2×D24411yescharacteristic
540C22×C4C2×C22⋊D6112yes—
541C22×C4C2×C22⋊D6112yes—
542C22×C4C23×D6111yescharacteristic
543M16—21no—
544M16—21no—
545M16—22no—
546M16—22no—
547M16—21no—
548M16—44no—
549M16#1175822412yescomplemented
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—22no—
553C2×C8—44no—
554C4⋊C4—611no—
555C4⋊C4—611no—
556C4⋊C4—612no—
557C4⋊C4—612no—
558C4⋊C4—1222no—
559C4⋊C4—1222no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1222no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—2444no—
569C4⋊C4—2442no—
570C4⋊C4#1175819811yescharacteristic
571C4⋊C4#1175819811yescharacteristic
572C4⋊C4#1175819812yes—
573C22⋊C4—1221no—
574C22⋊C4—1222no—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—1221no—
580C22⋊C4—1221no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—2444no—
584C22⋊C4—2444no—
585C22⋊C4#1175819812yes—
586C22⋊C4#1175819812yes—
587C22⋊C4#1175819812yes—
588C22⋊C4#1175819812yes—
589C42—612no—
590C42—1221no—
591C42—1222no—
592C42—1221no—
593C42—1222no—
594C42—1222no—
595C42—1221no—
596C42—1221no—
597C42—1222no—
598C42—1221no—
599C42—1222no—
600C42—1221no—
601C42—2442no—
602C42—2442no—
603C42C2×C4×D6111yescharacteristic
604C42C2×C4×D6111yescharacteristic
605C42C2×C22⋊D6111yescharacteristic
606C42C2×C22⋊D6111yescharacteristic
607C23—22no—
608C23—22no—
609C23—42no—
610C23—42no—
611C23—1221no—
612C23C2×#1175819812yes—
613C23C2×#1175819812yes—
614C23C22×D24411yescharacteristic
615Q8—1221no—
616Q8—1221no—
617Q8—4881no—
618Q8—2442no—
619D4—22no—
620D4—22no—
621D4—42no—
622D4—1221no—
623D4—1221no—
624D4—4882no—
625D4—2444no—
626D4—2441no—
627D4—2441no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—1222no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1221no—
646C2×C4—1222no—
647C2×C4—4881no—
648C2×C4—4882no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2444no—
656C2×C4—2441no—
657C2×C4—2442no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4C2×#1175819812yes—
661C2×C4C2×#1175819811yescharacteristic
662C2×C4C2×#1175819811yescharacteristic
663C2×C4C2×#1175819811yescharacteristic
664C2×C4C2×#1175819812yes—
665C2×C4C2×#1175819811yescharacteristic
666C2×C4C22×C4×D6111yescharacteristic
667C2×C4C22×C22⋊D6111yescharacteristic
668C2×C4#41×D6111yescharacteristic
669C2×C4C2×#1175822411yescharacteristic
670C2×C4#1451982211yescharacteristic
671C2×C4#1451982411yescharacteristic
672C8—22no—
673C8—42no—
674C8—41no—
675C22—21no—
676C22—21no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—82no—
684C22—82no—
685C22—2441no—
686C22—2441no—
687C22—2441no—
688C22C22×#1175819811yescharacteristic
689C22#1684040711yescharacteristic
690C22#1684041611yescharacteristic
691C4—21no—
692C4—21no—
693C4—21no—
694C4—22no—
695C4—22no—
696C4—4882no—
697C4—2442no—
698C4—2442no—
699C4—2441no—
700C4—2442no—
701C4—2441no—
702C4—2442no—
703C4—2441no—
704C4#1683977812yes—
705C4C4×#1175822411yescharacteristic
706C4#1684024111yescharacteristic
707C4#1684040611yescharacteristic
708C4#1684041111yescharacteristic
709C2—21no—
710C2—21no—
711C2—42no—
712C2—42no—
713C2—4881no—
714C2#2144864411yescharacteristic
715C2C2×#1683977811yescharacteristic
716C2#2145436411yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingD4×M16×C61C2
socleC22×C61C22×C22⋊C4
prime radical#21459377C2
cosocleC22×C4×C61C24
hypercenterD4×M16D61
hypocenterC61#22507
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×M16

Complements

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

NH ≅ G/Ntype
2. #21448284C2semidirect
3. #21446795C2semidirect
4. #21446763C2semidirect
5. #21446265C2semidirect
6. #21446121C2semidirect
7. #21445916C2semidirect
8. #21445836C2semidirect
9. C4×#14519703C2semidirect
10. #21445530C2semidirect
11. D4×M16×C61C2semidirect
12. #16840482C4semidirect
13. #16840477C4semidirect
14. #16840469C4semidirect
15. #16840458C4semidirect
16. #16840452C4semidirect
19. #16840416C4semidirect
190. M16×C61#41semidirect
247. C4×Dic61#41semidirect
352. D4×M16D61semidirect
411. C61#22507semidirect
549. M16#11758224semidirect

Maximal subgroups

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

subgroupindex
#214593772
#214482842
#214467952
#214467632
#214462652
#214461212
#214459162
#214458362
C4×#145197032
#214455302
D4×M16×C612
#2250761