Finite Group Databasebeta

← D61×#1736 #29677414

Subgroups — D61×#1736 #29677414

Order 15616.

2574 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D61C211yesmaximal, characteristic
2C2×#117×D61C211yesmaximal, characteristic
3C22×C4⋊C4×D61C211yesmaximal, characteristic
4#21445540C211yesmaximal, characteristic, complemented
5#21445539C211yesmaximal, characteristic, complemented
6#21445538C211yesmaximal, characteristic, complemented
7#21445537C214yesmaximal, complemented
8#340×D61C214yesmaximal, complemented
9C61×#1736C211yesmaximal, characteristic, complemented
10C23×C4×D61—21no—
11C23×C4×D61C2211yescharacteristic
12C22×#11758194C2211yescharacteristic
13C22×#11758189C2212yes—
14C2×M16×D61—24no—
15C2×M16×D61—24no—
16C2×M16×D61C418yescomplemented
17C22×C8×D61C2212yes—
18C2×#14519736C2211yescharacteristic
19C2×#14519735C2212yes—
20C2×#14519734—21no—
21C2×#14519733—21no—
22#117×D61—24no—
23#117×D61C418yescomplemented
24C22×C4⋊Dic61C2211yescharacteristic
25C22×#11758196—21no—
26C2×C4⋊C4×D61—24no—
27C2×C4⋊C4×D61—21no—
28C2×C4⋊C4×D61—21no—
29C2×C4⋊C4×D61C418yescomplemented
30C2×C4⋊C4×D61C2212yes—
31C2×C4⋊C4×D61C2212yes—
32C2×C4⋊C4×D61C2212yes—
33C2×C22⋊C4×D61—21no—
34C2×C42×D61—21no—
35#16839525C2214yescomplemented
36#16839524C2214yescomplemented
37#16839524C2214yescomplemented
38C22×M16×C61C2211yescharacteristic
39C2×#117×C61C2211yescharacteristic
40C22×C4⋊C4×C61C2211yescharacteristic
41C61×#340C2214yescomplemented
42C24×D61D411yescharacteristic
43C23×Dic61—21no—
44C23×Dic61D411yescharacteristic
45C22×C4×D61—28no—
46C22×C4×D61—22no—
47C22×C4×D61—22no—
48C22×C4×D61—22no—
49C22×C4×D61—48no—
50C22×C4×D61C2×C414yes—
51C22×C4×D61C2×C414yes—
52C22×C4×D61C2×C414yes—
53C22×C4×D61D411yescharacteristic
54C22×C4×D61D411yescharacteristic
55C22×C4×D61D414yes—
56C22×C4×D61D414yes—
57C22×C4×D61Q814yes—
58C22×C4×D61C2311yescharacteristic
59C22×C4×D61C2311yescharacteristic
60C2×#11758194—22no—
61C2×#11758194—22no—
62C2×#11758194C2×C414yescomplemented
63C2×#11758189—24no—
64C2×#11758189—24no—
65C2×#11758189C2×C418yescomplemented
66M16×D61—232no—
67C22×#92418C2312yes—
68C2×C8×D61—24no—
69C2×C8×D61—24no—
70C2×C8×D61C2×C418yescomplemented
71#14519736—22no—
72#14519736C2×C414yescomplemented
73#14519735—24no—
74#14519735C2×C418yescomplemented
75#14519734—28no—
76#14519733—28no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—22no—
79C2×C4⋊Dic61C2×C414yescomplemented
80C2×C4⋊Dic61C2312yes—
81C2×C4⋊Dic61C2312yes—
82C2×#11758196—28no—
83C2×#11758196—22no—
84C2×#11758196—22no—
85C2×#11758196—22no—
86C4⋊C4×D61—28no—
87C4⋊C4×D61—28no—
88C4⋊C4×D61—24no—
89C4⋊C4×D61—24no—
90C4⋊C4×D61—24no—
91C4⋊C4×D61C2×C418yes—
92C4⋊C4×D61C2×C418yescomplemented
93C4⋊C4×D61C2×C418yescomplemented
94C2×C22⋊Dic61—21no—
95C2×#11758198—22no—
96C22⋊C4×D61—28no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—22no—
99C42×D61—28no—
100C23×C4×C61—21no—
101C23×C4×C61C2311yescharacteristic
102C2×M16×C61—22no—
103C2×M16×C61—22no—
104C2×M16×C61C2×C414yescomplemented
105C22×C8×C61C2312yes—
106#117×C61—22no—
107#117×C61C2×C414yescomplemented
108C2×C4⋊C4×C61—21no—
109C2×C4⋊C4×C61—22no—
110C2×C4⋊C4×C61C2×C414yescomplemented
111C2×C4⋊C4×C61C2312yes—
112C2×C4⋊C4×C61C2312yes—
113C2×C22⋊C4×C61—21no—
114C2×C42×C61—21no—
115C24×C61C2×D411yescharacteristic
116C23×D61—24no—
117C23×D61—24no—
118C23×D61C22⋊C414yes—
119C23×D61C22⋊C414yes—
120C23×D61C4⋊C414yes—
121C23×D61C2×D411yescharacteristic
122C23×D61C2×D411yescharacteristic
123C22×C4×C61—24no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—44no—
127C22×C4×C61C22×C412yes—
128C22×C4×C61C22×C412yes—
129C22×C4×C61C22×C412yes—
130C22×C4×C61C2×D411yescharacteristic
131C22×C4×C61C2×D412yes—
132C22×C4×C61C2×D412yes—
133C22×C4×C61C2×Q812yes—
134C22×C4×C61C2411yescharacteristic
135C22×Dic61—24no—
136C22×Dic61—22no—
137C22×Dic61—22no—
138C22×Dic61—44no—
139C22×Dic61C22⋊C414yes—
140C22×Dic61C22⋊C414yes—
141C22×Dic61C4⋊C414yes—
142C22×Dic61C2×D411yescharacteristic
143C22×Dic61C2×D411yescharacteristic
144C2×C4×D61—28no—
145C2×C4×D61—28no—
146C2×C4×D61—28no—
147C2×C4×D61—48no—
148C2×C4×D61—432no—
149C2×C4×D61—44no—
150C2×C4×D61—48no—
151C2×C4×D61—44no—
152C2×C4×D61C42116yes—
153C2×C4×D61C22⋊C414yes—
154C2×C4×D61C22⋊C414yes—
155C2×C4×D61C22⋊C414yes—
156C2×C4×D61C22⋊C414yes—
157C2×C4×D61C22⋊C4116yes—
158C2×C4×D61C4⋊C414yes—
159C2×C4×D61C4⋊C414yes—
160C2×C4×D61C4⋊C4116yes—
161C2×C4×D61C4⋊C4116yes—
162C2×C4×D61C22×C412yes—
163C2×C4×D61C22×C412yes—
164C2×C4×D61C22×C412yes—
165C2×C4×D61C22×C412yes—
166C2×C4×D61C22×C412yes—
167C2×C4×D61C22×C412yes—
168C2×C4×D61C2×D412yes—
169C2×C4×D61C2×D412yes—
170C2×C4×D61C2×D412yes—
171C2×C4×D61C2×D412yes—
172C2×C4×D61C2×Q812yes—
173C2×C4×D61C2×Q812yes—
174M16×C61—28no—
175C2×C8×C61—22no—
176C2×C8×C61—22no—
177C2×C8×C61C22×C414yescomplemented
178C4⋊C4×C61—24no—
179C4⋊C4×C61—22no—
180C4⋊C4×C61—22no—
181C4⋊C4×C61C22×C414yes—
182C4⋊C4×C61C22×C414yescomplemented
183C22⋊C4×C61—24no—
184C42×C61—24no—
185C22⋊Dic61—24no—
186#11758198—28no—
187C4⋊Dic61—24no—
188C4⋊Dic61—22no—
189C4⋊Dic61—22no—
190C4⋊Dic61C22×C414yes—
191C4⋊Dic61C22×C414yescomplemented
192#11758196—28no—
193#11758196—28no—
194#11758196—28no—
195C4×Dic61—24no—
196C4×Dic61—28no—
197#11758194—28no—
198C2×#92418—22no—
199C2×#92418—22no—
200C2×#92418C22×C414yescomplemented
201#11758189—216no—
202C8×D61—216no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61C2×C22⋊C412yes—
206C23×C61C2×C22⋊C412yes—
207C23×C61C2×C4⋊C412yes—
208C23×C61C22×D411yescharacteristic
209C22×D61—22no—
210C22×D61—22no—
211C22×D61—216no—
212C22×D61—28no—
213C22×D61—28no—
214C22×D61—216no—
215C22×D61#95116yes—
216C22×D61C2×C22⋊C412yes—
217C22×D61C2×C22⋊C412yes—
218C22×D61C2×C22⋊C412yes—
219C22×D61C2×C22⋊C412yes—
220C22×D61C2×C4⋊C412yes—
221C22×D61C2×C4⋊C412yes—
222C22×D61AGL(1,ℤ/8)14yes—
223C22×D61#13714yes—
224C2×C4×C61—24no—
225C2×C4×C61—24no—
226C2×C4×C61—48no—
227C2×C4×C61—44no—
228C2×C4×C61—42no—
229C2×C4×C61—42no—
230C2×C4×C61C2×C4214yes—
231C2×C4×C61C2×C22⋊C414yes—
232C2×C4×C61C2×C22⋊C412yes—
233C2×C4×C61C2×C22⋊C412yes—
234C2×C4×C61C2×C4⋊C414yes—
235C2×C4×C61C2×C4⋊C414yes—
236C2×C4×C61C2×C4⋊C412yes—
237C2×C4×C61C23×C411yescharacteristic
238C2×C4×C61C23×C411yescharacteristic
239C2×C4×C61C23×C411yescharacteristic
240C2×C4×C61C22×D411yescharacteristic
241C2×C4×C61C22×D411yescharacteristic
242C2×C4×C61C22×Q811yescharacteristic
243C2×Dic61—24no—
244C2×Dic61—24no—
245C2×Dic61—48no—
246C2×Dic61—44no—
247C2×Dic61—42no—
248C2×Dic61—42no—
249C2×Dic61#95116yes—
250C2×Dic61C2×C22⋊C412yes—
251C2×Dic61C2×C22⋊C412yes—
252C2×Dic61C2×C22⋊C412yes—
253C2×Dic61C2×C22⋊C412yes—
254C2×Dic61C2×C4⋊C412yes—
255C2×Dic61C2×C4⋊C412yes—
256C4×D61—416no—
257C4×D61—416no—
258C4×D61—416no—
259C4×D61#95116yes—
260C4×D61#95116yes—
261C4×D61C2×C4214yes—
262C4×D61C2×C4214yes—
263C4×D61C2×C22⋊C414yes—
264C4×D61C2×C22⋊C414yes—
265C4×D61C2×C4⋊C414yes—
266C4×D61C2×C4⋊C414yes—
267C4×D61C2×C4⋊C414yes—
268C4×D61C2×C4⋊C414yes—
269C8×C61—24no—
270#92418—24no—
271C2×#1736—611nomaximal, Sylow
272C22×C61—22no—
273C22×C61—22no—
274C22×C61—24no—
275C22×C61—24no—
276C22×C61C2×#9514yes—
277C22×C61C22×C22⋊C411yescharacteristic
278C22×C61C22×C22⋊C411yescharacteristic
279C22×C61C22×C4⋊C411yescharacteristic
280C22×C61C2×AGL(1,ℤ/8)12yes—
281C22×C61C2×#13712yes—
282C2×D61—22no—
283C2×D61—22no—
284C2×D61—24no—
285C2×D61—24no—
286C2×D61—232no—
287C2×D61C2×#9514yes—
288C2×D61C2×#9514yes—
289C2×D61#41718yes—
290C2×D61#41814yes—
291C2×D61#41914yes—
292C2×D61#42818yes—
293C4×C61—44no—
294C4×C61—44no—
295C4×C61C2×#9514yes—
296C4×C61C22×C4211yescharacteristic
297C4×C61C22×C22⋊C411yescharacteristic
298C4×C61C22×C4⋊C411yescharacteristic
299C4×C61C22×C4⋊C411yescharacteristic
300Dic61—44no—
301Dic61—44no—
302Dic61C2×#9514yes—
303Dic61C2×#9514yes—
304C23×M16—611no—
305C22×#117—611no—
306C23×C4⋊C4—611no—
307#1736—614no—
308#1736—611no—
309#1736—611no—
310#1736—611no—
311#1736D6111yescharacteristic, direct product factor
312C2×#340—614no—
313C2×C61—24no—
314C2×C61C22×#9511yescharacteristic
315C2×C61C2×#41811yescharacteristic
316C2×C61C2×#41911yescharacteristic
317C2×C61C2×#41712yes—
318C2×C61C2×#42812yes—
319D61—24no—
320D61#173618yesdirect product factor
321C24×C4—611no—
322C24×C4—1221no—
323C22×M16—611no—
324C22×M16—618no—
325C22×M16—612no—
326C22×M16—1224no—
327C22×M16—1224no—
328C22×M16C2×D6111yescharacteristic
329C23×C8—612no—
330C2×#117—611no—
331C2×#117—618no—
332C2×#117—612no—
333C2×#117—1221no—
334C2×#117—1221no—
335C2×#117—1224no—
336C2×#117C2×D6111yescharacteristic
337C22×C4⋊C4—611no—
338C22×C4⋊C4—618no—
339C22×C4⋊C4—612no—
340C22×C4⋊C4—612no—
341C22×C4⋊C4—612no—
342C22×C4⋊C4—1221no—
343C22×C4⋊C4—1224no—
344C22×C4⋊C4—1221no—
345C22×C4⋊C4—1221no—
346C22×C4⋊C4C2×D6111yescharacteristic
347C22×C22⋊C4—1221no—
348C22×C42—1221no—
349#340—614no—
350#340—614no—
351#340—614no—
352#340C2×D6114yescomplemented
353C61C2×#173611yescharacteristic, complemented, Sylow
354C25—611no—
355C23×C4—21no—
356C23×C4—611no—
357C23×C4—614no—
358C23×C4—614no—
359C23×C4—614no—
360C23×C4—611no—
361C23×C4—614no—
362C23×C4—611no—
363C23×C4—614no—
364C23×C4—614no—
365C23×C4—611no—
366C23×C4—611no—
367C23×C4—1222no—
368C23×C4—1222no—
369C23×C4—1222no—
370C23×C4—1228no—
371C23×C4—1221no—
372C23×C4—2448no—
373C23×C4C22×D6111yescharacteristic
374C2×M16—22no—
375C2×M16—22no—
376C2×M16—614no—
377C2×M16—618no—
378C2×M16—1224no—
379C2×M16—1224no—
380C2×M16—12232no—
381C2×M16—1222no—
382C2×M16—1222no—
383C2×M16C4×D6114yescomplemented
384C22×C8—612no—
385C22×C8—618no—
386C22×C8—1224no—
387C22×C8—1224no—
388C22×C8C22×D6112yes—
389#117—22no—
390#117—614no—
391#117—618no—
392#117—1228no—
393#117—1228no—
394#117—1224no—
395#117—1222no—
396#117C4×D6114yescomplemented
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—614no—
400C2×C4⋊C4—612no—
401C2×C4⋊C4—612no—
402C2×C4⋊C4—618no—
403C2×C4⋊C4—618no—
404C2×C4⋊C4—618no—
405C2×C4⋊C4—1224no—
406C2×C4⋊C4—1224no—
407C2×C4⋊C4—1228no—
408C2×C4⋊C4—1228no—
409C2×C4⋊C4—1224no—
410C2×C4⋊C4—1222no—
411C2×C4⋊C4—1222no—
412C2×C4⋊C4—1228no—
413C2×C4⋊C4—1222no—
414C2×C4⋊C4—1222no—
415C2×C4⋊C4—1221no—
416C2×C4⋊C4C4×D6114yescomplemented
417C2×C4⋊C4C22×D6112yes—
418C2×C4⋊C4C22×D6112yes—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—1228no—
421C2×C22⋊C4—1222no—
422C2×C22⋊C4—1221no—
423C2×C42—21no—
424C2×C42—1228no—
425C2×C42—1222no—
426C2×C42—1221no—
427C24—611no—
428C24—611no—
429C24—614no—
430C24—614no—
431C24—614no—
432C24—1224no—
433C24—1224no—
434C24D4×D6111yescharacteristic
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—44no—
439C22×C4—611no—
440C22×C4—611no—
441C22×C4—614no—
442C22×C4—614no—
443C22×C4—614no—
444C22×C4—612no—
445C22×C4—612no—
446C22×C4—612no—
447C22×C4—612no—
448C22×C4—612no—
449C22×C4—612no—
450C22×C4—612no—
451C22×C4—612no—
452C22×C4—612no—
453C22×C4—612no—
454C22×C4—612no—
455C22×C4—612no—
456C22×C4—6116no—
457C22×C4—614no—
458C22×C4—614no—
459C22×C4—614no—
460C22×C4—614no—
461C22×C4—6116no—
462C22×C4—614no—
463C22×C4—614no—
464C22×C4—6116no—
465C22×C4—6116no—
466C22×C4—1228no—
467C22×C4—1228no—
468C22×C4—1228no—
469C22×C4—1222no—
470C22×C4—1222no—
471C22×C4—1224no—
472C22×C4—2448no—
473C22×C4—2444no—
474C22×C4—2444no—
475C22×C4—24432no—
476C22×C4—2448no—
477C22×C4—2444no—
478C22×C4C2×C4×D6112yes—
479C22×C4C2×C4×D6112yes—
480C22×C4C2×C4×D6112yes—
481C22×C4D4×D6112yes—
482C22×C4D4×D6112yes—
483C22×C4D4×D6111yescharacteristic
484C22×C4Q8×D6112yes—
485C22×C4C23×D6111yescharacteristic
486M16—28no—
487M16—12216no—
488M16—1228no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—614no—
492C2×C8—12216no—
493C2×C8—1222no—
494C2×C8—1222no—
495C2×C8C2×C4×D6114yescomplemented
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—24no—
499C4⋊C4—614no—
500C4⋊C4—614no—
501C4⋊C4—1228no—
502C4⋊C4—1228no—
503C4⋊C4—1228no—
504C4⋊C4—1222no—
505C4⋊C4—1222no—
506C4⋊C4—1224no—
507C4⋊C4C2×C4×D6114yes—
508C4⋊C4C2×C4×D6114yescomplemented
509C22⋊C4—24no—
510C22⋊C4—1228no—
511C22⋊C4—1224no—
512C42—24no—
513C42—1228no—
514C42—1224no—
515C23—22no—
516C23—22no—
517C23—612no—
518C23—612no—
519C23—612no—
520C23—614no—
521C23—614no—
522C23—612no—
523C23—612no—
524C23—612no—
525C23—6116no—
526C23—1228no—
527C23—12216no—
528C23—1228no—
529C23—12216no—
530C23—1222no—
531C23—1222no—
532C23C22⋊C4×D6112yes—
533C23C22⋊C4×D6112yes—
534C23C4⋊C4×D6112yes—
535C23C2×D4×D6111yescharacteristic
536C2×C4—24no—
537C2×C4—24no—
538C2×C4—48no—
539C2×C4—44no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—612no—
543C2×C4—612no—
544C2×C4—612no—
545C2×C4—612no—
546C2×C4—612no—
547C2×C4—612no—
548C2×C4—6116no—
549C2×C4—614no—
550C2×C4—614no—
551C2×C4—614no—
552C2×C4—614no—
553C2×C4—614no—
554C2×C4—614no—
555C2×C4—614no—
556C2×C4—614no—
557C2×C4—6116no—
558C2×C4—6116no—
559C2×C4—1224no—
560C2×C4—1224no—
561C2×C4—24416no—
562C2×C4—24416no—
563C2×C4—24416no—
564C2×C4—2448no—
565C2×C4—2442no—
566C2×C4—2444no—
567C2×C4—2442no—
568C2×C4C42×D6114yes—
569C2×C4C22⋊C4×D6114yes—
570C2×C4C22⋊C4×D6112yes—
571C2×C4C22⋊C4×D6112yes—
572C2×C4C4⋊C4×D6114yes—
573C2×C4C4⋊C4×D6114yes—
574C2×C4C4⋊C4×D6112yes—
575C2×C4C22×C4×D6111yescharacteristic
576C2×C4C22×C4×D6111yescharacteristic
577C2×C4C22×C4×D6111yescharacteristic
578C2×C4C2×D4×D6111yescharacteristic
579C2×C4C2×D4×D6111yescharacteristic
580C2×C4C2×Q8×D6111yescharacteristic
581C8—24no—
582C8—1224no—
583C22—24no—
584C22—22no—
585C22—22no—
586C22—24no—
587C22—618no—
588C22—614no—
589C22—614no—
590C22—614no—
591C22—618no—
592C22—614no—
593C22—12232no—
594C22—1224no—
595C22—1222no—
596C22—1222no—
597C22—1224no—
598C22#95×D6114yes—
599C22C2×C22⋊C4×D6111yescharacteristic
600C22C2×C22⋊C4×D6111yescharacteristic
601C22C2×C4⋊C4×D6111yescharacteristic
602C22AGL(1,ℤ/8)×D6112yes—
603C22#137×D6112yes—
604C4—44no—
605C4—44no—
606C4—614no—
607C4—614no—
608C4—2444no—
609C4—2444no—
610C4#95×D6114yes—
611C4C2×C42×D6111yescharacteristic
612C4C2×C22⋊C4×D6111yescharacteristic
613C4C2×C4⋊C4×D6111yescharacteristic
614C4C2×C4⋊C4×D6111yescharacteristic
615C2—24no—
616C2—618no—
617C2—1224no—
618C2C2×#95×D6111yescharacteristic
619C2#418×D6111yescharacteristic
620C2#419×D6111yescharacteristic
621C2#417×D6112yes—
622C2#428×D6112yes—
subgroupG/H
centerC23C2×D4×D61
commutatorC4×C61C22×C42
FrattiniC22×C4C23×D61
FittingC61×#1736C2
socleC23×C61C22×D4
prime radicalC24×D61D4
cosocleC22×C4×C61C24
hypercenter#1736D61
hypocenterC61C2×#1736
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #21445540C2semidirect
5. #21445539C2semidirect
6. #21445538C2semidirect
7. #21445537C2semidirect
8. #340×D61C2semidirect
9. C61×#1736C2semidirect
16. C2×M16×D61C4semidirect
23. #117×D61C4semidirect
29. C2×C4⋊C4×D61C4semidirect
35. #16839525C22semidirect
36. #16839524C22semidirect
37. #16839524C22semidirect
41. C61×#340C22semidirect
62. C2×#11758194C2×C4semidirect
65. C2×#11758189C2×C4semidirect
70. C2×C8×D61C2×C4semidirect
72. #14519736C2×C4semidirect
74. #14519735C2×C4semidirect
79. C2×C4⋊Dic61C2×C4semidirect
92. C4⋊C4×D61C2×C4semidirect
93. C4⋊C4×D61C2×C4semidirect
104. C2×M16×C61C2×C4semidirect
107. #117×C61C2×C4semidirect
110. C2×C4⋊C4×C61C2×C4semidirect
177. C2×C8×C61C22×C4semidirect
182. C4⋊C4×C61C22×C4semidirect
191. C4⋊Dic61C22×C4semidirect
200. C2×#92418C22×C4semidirect
311. #1736D61direct (N × H)
320. D61#1736direct (N × H)
352. #340C2×D61semidirect
353. C61C2×#1736semidirect
383. C2×M16C4×D61semidirect
396. #117C4×D61semidirect
416. C2×C4⋊C4C4×D61semidirect
495. C2×C8C2×C4×D61semidirect
508. C4⋊C4C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D612
C2×#117×D612
C22×C4⋊C4×D612
#214455402
#214455392
#214455382
#214455372
#340×D612
C61×#17362
C2×#173661