Finite Group Databasebeta

← D61⋊#1490 #30610431

Subgroups — D61⋊#1490 #30610431

Order 15616.

1734 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#432C211yesmaximal, characteristic, complemented
2C4×D61⋊M16C211yesmaximal, characteristic, complemented
3#21461160C212yesmaximal, complemented
4#21461159C214yesmaximal, complemented
5#21461158C212yesmaximal, complemented
6D61⋊(D4⋊C8)C214yesmaximal, complemented
7C2×C4×D4×D61C211yesmaximal, characteristic
8C2×D61⋊M16—21no—
9#16840785—21no—
10#16840784C2212yescomplemented
11#16840783C2212yescomplemented
12#16840782—21no—
13D61⋊(C4⋊C8)C2212yescomplemented
14D61⋊(C22⋊C8)—21no—
15C4×#11758213—21no—
16C4×#11758213C2212yescomplemented
17C4×#11758217—21no—
18C4×#11758217C2212yescomplemented
19#16840721—21no—
20#16840721—21no—
21C4×D61⋊C8C2212yescomplemented
22#16840610C2218yescomplemented
23D4⋊#92420C2218yescomplemented
24C22×D4×D61C411yescharacteristic
25C23×C4×D61—21no—
26C2×C4×D244C411yescharacteristic
27C2×D4×Dic61C2211yescharacteristic
28C2×#14519739C2211yescharacteristic
29C2×C4×C22⋊D61—21no—
30C2×#14519737—21no—
31C4×D4×D61—21no—
32C4×D4×D61—21no—
33C4×D4×D61—21no—
34C4×D4×D61—21no—
35C4×D4×D61C412yes—
36C4×D4×D61C412yes—
37C4×D4×D61C2212yes—
38C4×D4×D61C2212yes—
39C2×C4⋊C4×D61C411yescharacteristic
40C2×C22⋊C4×D61—21no—
41C2×C42×D61C2211yescharacteristic
42C2×C4×D4×C61C411yescharacteristic
43C2×#11758213—22no—
44D61⋊M16—28no—
45C2×#11758217—22no—
46C2×D61⋊C8—22no—
47C2×D61⋊C8—22no—
48#14519844—22no—
49C4⋊#92420C2314yescomplemented
50#14519834—22no—
51C22⋊#92420—22no—
52#14519832—22no—
53#14519832—22no—
54#14519832—22no—
55#14519832—22no—
56C4×#92420—22no—
57C4×#92420C2314yescomplemented
58C24×D61—21no—
59C22×D244C2×C411yescharacteristic
60C22×C22⋊D61—21no—
61C2×D4×D61—28no—
62C2×D4×D61—21no—
63C2×D4×D61—21no—
64C2×D4×D61C2×C412yes—
65C2×D4×D61C2×C412yes—
66C23×Dic61—21no—
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C22×C4×D61—21no—
70C22×C4×D61—22no—
71C22×C4×D61—22no—
72C22×C4×D61—22no—
73C22×C4×D61—22no—
74C22×C4×D61—48no—
75C22×C4×D61C2×C411yescharacteristic
76C22×C4×D61D411yescharacteristic
77C22×C4×D61D411yescharacteristic
78C4×D244—21no—
79C4×D244—21no—
80C4×D244C2×C412yes—
81C4×D244C2×C412yes—
82D4×Dic61—21no—
83D4×Dic61—21no—
84D4×Dic61C2×C412yes—
85D4×Dic61C2312yes—
86#14519739—21no—
87#14519739—21no—
88#14519739C2×C412yes—
89#14519739C2312yes—
90C4×C22⋊D61—22no—
91C4×C22⋊D61—22no—
92C4×C22⋊D61—22no—
93C4×C22⋊D61—22no—
94#14519737—22no—
95#14519737—22no—
96#14519737—22no—
97#14519737—22no—
98C2×C4⋊Dic61C2×C411yescharacteristic
99C2×#11758196—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61—21no—
102C4⋊C4×D61C2×C412yes—
103C4⋊C4×D61C2×C412yes—
104C2×C22⋊Dic61—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C22⋊C4×D61—22no—
108C22⋊C4×D61—22no—
109C22⋊C4×D61—22no—
110C22⋊C4×D61—22no—
111C2×C4×Dic61D411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61C2311yescharacteristic
114C42×D61C2×C411yescharacteristic
115C42×D61C2×C411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C42×D61C2311yescharacteristic
121C42×D61C2311yescharacteristic
122C22×D4×C61C2×C411yescharacteristic
123C23×C4×C61—21no—
124C4×D4×C61—21no—
125C4×D4×C61—21no—
126C4×D4×C61C2×C412yes—
127C4×D4×C61C2×C412yes—
128C2×C4⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C42×C61C2×C411yescharacteristic
131C24×C61—21no—
132C23×D61—28no—
133C23×D61—21no—
134C23×D61—22no—
135C23×D61—22no—
136C23×D61—44no—
137C23×D61—44no—
138C23×D61C22⋊C411yescharacteristic
139C2×D4×C61—24no—
140C2×D4×C61—21no—
141C2×D4×C61C22×C412yes—
142C22×C4×C61—21no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—44no—
146C22×C4×C61C22⋊C411yescharacteristic
147C22×C4×C61C22⋊C411yescharacteristic
148C22×C4×C61C22×C411yescharacteristic
149C2×C22⋊D61—28no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C22×Dic61—21no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—44no—
156C22×Dic61C22⋊C411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159D4×D61—28no—
160D4×D61—28no—
161D4×D61—24no—
162D4×D61—24no—
163D4×D61—24no—
164D4×D61M1618yescomplemented
165C2×D244—21no—
166C2×D244—24no—
167C2×D244C22×C412yes—
168C2×C4×D61—24no—
169C2×C4×D61—24no—
170C2×C4×D61—24no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—48no—
178C2×C4×D61—48no—
179C2×C4×D61—48no—
180C2×C4×D61—44no—
181C2×C4×D61—44no—
182C2×C4×D61—44no—
183C2×C4×D61—48no—
184C2×C4×D61C22⋊C411yescharacteristic
185C2×C4×D61C22⋊C411yescharacteristic
186C2×C4×D61C22⋊C411yescharacteristic
187C2×C4×D61C22⋊C411yescharacteristic
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22⋊C411yescharacteristic
190C2×C4×D61C22×C411yescharacteristic
191C2×C4×D61C22×C411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61C2×D411yescharacteristic
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196#11758217—28no—
197C2×#92420—24no—
198C2×#92420—24no—
199#11758213—28no—
200D61⋊C8—28no—
201D61⋊C8—44no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61C22×C412yes—
204C22⋊C4×C61—22no—
205C22⋊C4×C61—22no—
206C42×C61C22⋊C411yescharacteristic
207C42×C61C22⋊C411yescharacteristic
208C42×C61C22×C411yescharacteristic
209C42×C61C22×C411yescharacteristic
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216C4⋊Dic61—21no—
217C4⋊Dic61C22×C412yes—
218#11758196—22no—
219#11758196—22no—
220C4×Dic61C22⋊C411yescharacteristic
221C4×Dic61C22⋊C411yescharacteristic
222C4×Dic61C22⋊C411yescharacteristic
223C4×Dic61C22⋊C411yescharacteristic
224C4×Dic61C22×C411yescharacteristic
225C4×Dic61C2×D411yescharacteristic
226C4×Dic61C2×D411yescharacteristic
227C4×Dic61C2×D411yescharacteristic
228C4×Dic61C2×D411yescharacteristic
229C4×Dic61C2×D411yescharacteristic
230C4×Dic61C2×D411yescharacteristic
231C4×Dic61C2411yescharacteristic
232C23×C61—24no—
233C23×C61—22no—
234C23×C61—42no—
235C23×C61—42no—
236C23×C61C2×C22⋊C411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—24no—
240C22×D61—28no—
241C22×D61—22no—
242C22×D61—28no—
243C22×D61—44no—
244C22×D61—432no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—44no—
248C22×D61—44no—
249C22×D61—44no—
250C22×D61#10414yes—
251C22×D61C2×C22⋊C411yescharacteristic
252C22×D61C2×C22⋊C411yescharacteristic
253D4×C61—24no—
254D4×C61—22no—
255D4×C61C2×M1614yescomplemented
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—44no—
261C2×C4×C61—42no—
262C2×C4×C61—44no—
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61C2×C22⋊C411yescharacteristic
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C2×C22⋊C411yescharacteristic
268C2×C4×C61C23×C411yescharacteristic
269C22⋊D61—28no—
270C22⋊D61—28no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—44no—
276C2×Dic61—42no—
277C2×Dic61—44no—
278C2×Dic61C2×C22⋊C411yescharacteristic
279C2×Dic61C2×C22⋊C411yescharacteristic
280C2×Dic61C2×C22⋊C411yescharacteristic
281C2×Dic61C2×C22⋊C411yescharacteristic
282C2×Dic61C22×D411yescharacteristic
283C2×Dic61C22×D411yescharacteristic
284D244—24no—
285D244—22no—
286D244C2×M1614yescomplemented
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—44no—
298C4×D61—44no—
299C4×D61—44no—
300C4×D61—44no—
301C4×D61—44no—
302C4×D61—44no—
303C4×D61C2×M1614yes—
304C4×D61AGL(1,ℤ/8)14yes—
305#92420—28no—
306#92420—44no—
307C2×#1490—611nomaximal, Sylow
308C22×C61—21no—
309C22×C61—21no—
310C22×C61—24no—
311C22×C61—48no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61C2×#10412yes—
315C22×C61C22×C22⋊C411yescharacteristic
316C2×D61—21no—
317C2×D61—21no—
318C2×D61—28no—
319C2×D61—24no—
320C2×D61—416no—
321C2×D61—48no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—416no—
325C2×D61#40712yes—
326C2×D61#41812yes—
327C2×D61C2×#10412yes—
328C2×D61C2×#10412yes—
329C4×C61—21no—
330C4×C61—21no—
331C4×C61—21no—
332C4×C61—21no—
333C4×C61—42no—
334C4×C61#41812yes—
335C4×C61C22×M1612yes—
336Dic61—21no—
337Dic61—21no—
338Dic61—21no—
339Dic61—21no—
340Dic61—42no—
341Dic61#40712yes—
342Dic61C2×AGL(1,ℤ/8)12yes—
343C22×C4×D4—611no—
344C2×#432—611no—
345C2×C4×M16—611no—
346#1490—612no—
347#1490—614no—
348#1490—612no—
349C2×D4⋊C8—614no—
350C2×C61—22no—
351C2×C61—44no—
352C2×C61C2×#40711yescharacteristic
353C2×C61C2×#41811yescharacteristic
354C2×C61C22×#10411yescharacteristic
355D61—22no—
356D61—44no—
357D61#149014yescomplemented
358C23×D4—611no—
359C24×C4—1221no—
360C22×M16—1221no—
361C2×C4×D4—611no—
362C2×C4×D4—612no—
363C2×C4×D4—612no—
364C2×C4×D4—612no—
365C2×C4×D4—612no—
366C2×C4×D4—611no—
367C2×C4×D4—611no—
368C2×C4×D4—1221no—
369C2×C4×D4—1221no—
370C2×C4×D4—1221no—
371C2×C4×D4—1221no—
372C2×C4×D4—1221no—
373C2×C4×D4—1221no—
374C2×C4×D4#692311yescharacteristic
375C22×C4⋊C4—611no—
376C22×C22⋊C4—1221no—
377C22×C42—611no—
378#432—612no—
379#432—612no—
380#432—1221no—
381#432—1221no—
382C2×C4⋊C8—612no—
383C2×C22⋊C8—1221no—
384C4×M16—612no—
385C4×M16—612no—
386C4×M16—1221no—
387C4×M16—1221no—
388C2×#97—1221no—
389C2×#97—1221no—
390C2×C4×C8—612no—
391D4⋊C8—618no—
392D4⋊C8—618no—
393C61C2×#149011yescharacteristic, complemented, Sylow
394C25—1221no—
395C22×D4—612no—
396C22×D4—612no—
397C22×D4—611no—
398C22×D4—1221no—
399C22×D4—1221no—
400C22×D4—1221no—
401C22×D4—1228no—
402C22×D4C2×#692311yescharacteristic
403C23×C4—21no—
404C23×C4—611no—
405C23×C4—611no—
406C23×C4—611no—
407C23×C4—1221no—
408C23×C4—1222no—
409C23×C4—1222no—
410C23×C4—1222no—
411C23×C4—1222no—
412C23×C4—1221no—
413C23×C4—1221no—
414C23×C4—1221no—
415C23×C4—2448no—
416C2×M16—1222no—
417C2×M16—1222no—
418C2×M16—1228no—
419C22×C8—1222no—
420C22×C8—1222no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—612no—
424C4×D4—612no—
425C4×D4—612no—
426C4×D4—612no—
427C4×D4—612no—
428C4×D4—612no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1222no—
432C4×D4—1222no—
433C4×D4—1221no—
434C4×D4—1221no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—1222no—
439C4×D4—1221no—
440C4×D4—1221no—
441C4×D4—1221no—
442C4×D4—1221no—
443C4×D4C2×#692312yes—
444C4×D4C2×#692312yes—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—612no—
447C2×C4⋊C4—612no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4C2×#692311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—1222no—
454C2×C22⋊C4—1222no—
455C2×C22⋊C4—1222no—
456C2×C22⋊C4—1222no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—611no—
468C2×C42—611no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42C2×#692311yescharacteristic
472C4⋊C8—614no—
473C4⋊C8—1222no—
474C22⋊C8—1222no—
475C22⋊C8—1222no—
476#97—1222no—
477#97—1222no—
478#97—1222no—
479#97—1222no—
480C4×C8—614no—
481C4×C8—1222no—
482C24—21no—
483C24—611no—
484C24—1222no—
485C24—1222no—
486C24—1228no—
487C24—1221no—
488C24—2444no—
489C24—2444no—
490C2×D4—24no—
491C2×D4—21no—
492C2×D4—618no—
493C2×D4—612no—
494C2×D4—1224no—
495C2×D4—1224no—
496C2×D4—1222no—
497C2×D4—1222no—
498C2×D4—1224no—
499C2×D4—1228no—
500C2×D4—1228no—
501C2×D4—1228no—
502C2×D4—1224no—
503C2×D4—1221no—
504C2×D4C22×#692312yes—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—44no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—1224no—
525C22×C4—1224no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1224no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1221no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—2444no—
537C22×C4—2448no—
538C22×C4—2448no—
539C22×C4—2448no—
540C22×C4—2444no—
541C22×C4—2448no—
542C22×C4—2444no—
543C22×C4—2444no—
544C22×C4C22⋊#692311yescharacteristic
545C22×C4C22⋊#692311yescharacteristic
546C22×C4C22×#692311yescharacteristic
547M16—1228no—
548M16—1228no—
549C2×C8—1224no—
550C2×C8—1228no—
551C2×C8—1224no—
552C2×C8—2444no—
553C4⋊C4—21no—
554C4⋊C4—612no—
555C4⋊C4—1222no—
556C4⋊C4—1222no—
557C4⋊C4—1221no—
558C4⋊C4C22×#692312yes—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—1222no—
562C22⋊C4—1222no—
563C22⋊C4—1222no—
564C22⋊C4—1222no—
565C22⋊C4—1222no—
566C22⋊C4—1222no—
567C42—611no—
568C42—611no—
569C42—611no—
570C42—611no—
571C42—611no—
572C42—611no—
573C42—611no—
574C42—611no—
575C42—611no—
576C42—611no—
577C42—611no—
578C42—611no—
579C42C22⋊#692311yescharacteristic
580C42C22⋊#692311yescharacteristic
581C42C22×#692311yescharacteristic
582C42C22×#692311yescharacteristic
583C23—24no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—611no—
588C23—614no—
589C23—611no—
590C23—1222no—
591C23—1222no—
592C23—1228no—
593C23—1224no—
594C23—1228no—
595C23—1222no—
596C23—2442no—
597C23—2444no—
598C23—2444no—
599C23—2444no—
600C23—2444no—
601C23—24432no—
602C23—2442no—
603C23C2×C22⋊#692311yescharacteristic
604D4—24no—
605D4—22no—
606D4—614no—
607D4—1224no—
608D4—1228no—
609D4—1228no—
610D4—1222no—
611D4D61⋊M1614yescomplemented
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—44no—
617C2×C4—42no—
618C2×C4—44no—
619C2×C4—611no—
620C2×C4—611no—
621C2×C4—614no—
622C2×C4—614no—
623C2×C4—611no—
624C2×C4—611no—
625C2×C4—611no—
626C2×C4—611no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—2444no—
642C2×C4—2444no—
643C2×C4—2444no—
644C2×C4—2444no—
645C2×C4—2444no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4—2442no—
649C2×C4—2444no—
650C2×C4C2×C22⋊#692311yescharacteristic
651C2×C4C2×C22⋊#692311yescharacteristic
652C2×C4C2×C22⋊#692311yescharacteristic
653C2×C4C2×C22⋊#692311yescharacteristic
654C2×C4C2×C22⋊#692311yescharacteristic
655C2×C4C23×#692311yescharacteristic
656C8—1228no—
657C8—2444no—
658C22—21no—
659C22—21no—
660C22—24no—
661C22—48no—
662C22—42no—
663C22—42no—
664C22—612no—
665C22—612no—
666C22—612no—
667C22—612no—
668C22—1228no—
669C22—1221no—
670C22—1221no—
671C22—1224no—
672C22—2448no—
673C22—24416no—
674C22—24416no—
675C22—2442no—
676C22—2442no—
677C22D61⋊#10412yes—
678C22C22×C22⋊#692311yescharacteristic
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—42no—
684C4—612no—
685C4—612no—
686C4—1221no—
687C4—1221no—
688C4—1221no—
689C4—1221no—
690C4—2442no—
691C4#1684075412yes—
692C4C2×D61⋊M1612yes—
693C2—22no—
694C2—44no—
695C2—614no—
696C2—1222no—
697C2—2444no—
698C2D61⋊#40711yescharacteristic
699C2C2×#1684075411yescharacteristic
700C2C2×D61⋊#10411yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C4
cosocleC4×Dic61C24
hypercenterC2×C4×D4#6923
hypocenterC61C2×#1490
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. D61⋊#432C2semidirect
2. C4×D61⋊M16C2semidirect
3. #21461160C2semidirect
4. #21461159C2semidirect
5. #21461158C2semidirect
6. D61⋊(D4⋊C8)C2semidirect
10. #16840784C22semidirect
11. #16840783C22semidirect
13. D61⋊(C4⋊C8)C22semidirect
16. C4×#11758213C22semidirect
18. C4×#11758217C22semidirect
21. C4×D61⋊C8C22semidirect
22. #16840610C22semidirect
23. D4⋊#92420C22semidirect
49. C4⋊#92420C23semidirect
57. C4×#92420C23semidirect
164. D4×D61M16semidirect
255. D4×C61C2×M16semidirect
286. D244C2×M16semidirect
357. D61#1490semidirect
393. C61C2×#1490semidirect
611. D4D61⋊M16semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4322
C4×D61⋊M162
#214611602
#214611592
#214611582
D61⋊(D4⋊C8)2
C2×C4×D4×D612
C2×#149061