Finite Group Databasebeta

← #29681259

Subgroups — #29681259

Order 15616.

2278 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
1C2×#121×D61C211yesmaximal, characteristic
2C2×#117×D61C211yesmaximal, characteristic, complemented
3C2×#16839765C212yesmaximal, complemented
4C2×#16839724C211yesmaximal, characteristic, complemented
5#21446142C211yesmaximal, characteristic, complemented
6#21446141C211yesmaximal, characteristic, complemented
7#21446139C211yesmaximal, characteristic, complemented
8#21446135C212yesmaximal, complemented
9#21446133C212yesmaximal, complemented
10#21445537C212yesmaximal, complemented
11C61×#1875C211yesmaximal, characteristic, complemented
12C22×D4×D61—21no—
13C22×D4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C22×#11758189C2212yes—
16C2×#14519752C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519750—21no—
19C2×#14519749—21no—
20C2×#14519748C2211yescharacteristic
21#121×D61—24no—
22#121×D61C418yescomplemented
23C2×#14519736C2211yescharacteristic, complemented
24C2×#14519735C2212yes—
25C2×#14519734—21no—
26C2×#14519733—21no—
27#117×D61—28no—
28C2×C4⋊C4×D61C2211yescharacteristic
29C2×C4⋊C4×D61C2212yescomplemented
30C2×C22⋊C4×D61—21no—
31C2×C22⋊C4×D61—21no—
32C2×C42×D61—21no—
33#16839765—28no—
34C2×#14519699C2212yescomplemented
35C2×#14519698C2212yescomplemented
36C2×#14519697C2212yescomplemented
37#16839724—24no—
38C2×C22⋊#92418C2211yescharacteristic, complemented
39C2×#14519689C2212yescomplemented
40#16839525C2212yescomplemented
41#16839524C2212yescomplemented
42#16839524C2212yescomplemented
43C2×#121×C61C2211yescharacteristic
44C2×#117×C61C2211yescharacteristic, complemented
45C2×#102×C61C2212yescomplemented
46C2×C22⋊C8×C61C2211yescharacteristic, complemented
47C61×#340C2212yescomplemented
48C24×D61—21no—
49C24×D61D411yescharacteristic
50C22×D244—21no—
51C22×D244C2311yescharacteristic
52C22×C22⋊D61—21no—
53C22×C22⋊D61—21no—
54C22×C22⋊D61—21no—
55C2×D4×D61—28no—
56C2×D4×D61—24no—
57C2×D4×D61—22no—
58C2×D4×D61—24no—
59C2×D4×D61—48no—
60C2×D4×D61C2×C414yescomplemented
61C23×Dic61D411yescharacteristic
62C22×C4×D61—24no—
63C22×C4×D61—24no—
64C22×C4×D61—22no—
65C22×C4×D61—21no—
66C22×C4×D61C2×C414yes—
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C22×C4×D61D414yes—
70C22×C4×D61C2311yescharacteristic
71C22×C4×D61C2311yescharacteristic
72C2×#11758189—24no—
73C2×#11758189—24no—
74C2×#11758189—24no—
75C22×#92418C2312yes—
76#14519752—22no—
77#14519752C2×C414yes—
78#14519751—22no—
79#14519751C2×C414yescomplemented
80#14519750—28no—
81#14519749—28no—
82#14519748—22no—
83#14519748C2×C414yes—
84#14519736—24no—
85#14519735—24no—
86#14519735D418yescomplemented
87#14519734—28no—
88#14519733—28no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2312yes—
91C2×#11758196—21no—
92C2×#11758196—22no—
93C4⋊C4×D61—22no—
94C4⋊C4×D61—24no—
95C4⋊C4×D61—24no—
96C4⋊C4×D61C2×C414yescomplemented
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61—21no—
99C2×#11758198—22no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C22⋊C4×D61—28no—
103C22⋊C4×D61—28no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—22no—
106C42×D61—28no—
107#14519699—24no—
108#14519698—24no—
109#14519697—24no—
110C22⋊#92418—22no—
111#14519689—24no—
112C22×D4×C61—21no—
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C22×C8×C61C2312yes—
116#121×C61—22no—
117#121×C61C2×C414yescomplemented
118#117×C61—24no—
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2312yes—
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C42×C61—21no—
124#102×C61—24no—
125C22⋊C8×C61—22no—
126C24×C61—21no—
127C24×C61C2×D411yescharacteristic
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—24no—
131C23×D61—21no—
132C23×D61—24no—
133C23×D61—42no—
134C23×D61—44no—
135C23×D61—44no—
136C23×D61—42no—
137C23×D61—42no—
138C23×D61C22⋊C414yes—
139C23×D61C2×D411yescharacteristic
140C23×D61C2×D411yescharacteristic
141C2×D4×C61—24no—
142C2×D4×C61—22no—
143C2×D4×C61—21no—
144C2×D4×C61—22no—
145C2×D4×C61—44no—
146C2×D4×C61C22×C412yes—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—21no—
150C22×C4×C61—22no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C2×C22⋊D61—24no—
158C2×C22⋊D61—44no—
159C2×C22⋊D61—44no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—42no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61C22⋊C414yes—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169D4×D61—216no—
170D4×D61—432no—
171D4×D61—48no—
172C2×D244—22no—
173C2×D244—22no—
174C2×D244—24no—
175C2×D244—21no—
176C2×D244—44no—
177C2×D244C22×C412yes—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—216no—
185C2×C4×D61—216no—
186C2×C4×D61—28no—
187C2×C4×D61—24no—
188C2×C4×D61—44no—
189C2×C4×D61—44no—
190C2×C4×D61—44no—
191C2×C4×D61C22⋊C414yes—
192C2×C4×D61C22⋊C414yes—
193C2×C4×D61C22×C412yes—
194C2×C4×D61C22×C412yes—
195C2×C4×D61C2×D412yes—
196C2×C4×D61C2×D414yes—
197C2×C4×D61C2×D412yes—
198C2×C4×D61#4114yes—
199C2×C8×C61—22no—
200C2×C8×C61—22no—
201C2×C8×C61—22no—
202C4⋊C4×C61—22no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C4⋊C4×C61C2×D414yescomplemented
206C22⋊C4×C61—24no—
207C22⋊C4×C61—24no—
208C42×C61—24no—
209C22⋊Dic61—24no—
210C22⋊Dic61—24no—
211#11758198—28no—
212#11758198—24no—
213#11758198—24no—
214C4⋊Dic61—22no—
215C4⋊Dic61—21no—
216C4⋊Dic61C22×C412yes—
217C4⋊Dic61C2×D414yescomplemented
218#11758196—28no—
219#11758196—24no—
220C4×Dic61—24no—
221C4×Dic61—28no—
222C2×#92418—22no—
223C2×#92418—22no—
224C2×#92418—22no—
225#11758189—48no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61C2×C22⋊C412yes—
236C23×C61C22×D411yescharacteristic
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—22no—
242C22×D61—28no—
243C22×D61—28no—
244C22×D61—22no—
245C22×D61—44no—
246C22×D61—48no—
247C22×D61—48no—
248C22×D61—48no—
249C22×D61—48no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—48no—
255C22×D61—88no—
256C22×D61—88no—
257C22×D61C2×C22⋊C412yes—
258C22×D61C2×C22⋊C412yes—
259C22×D61#12012yes—
260C22×D61#12312yes—
261C22×D61AGL(1,ℤ/8)14yes—
262D4×C61—24no—
263D4×C61—48no—
264D4×C61—42no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—24no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61C2×C22⋊C412yes—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C22×D412yes—
277C2×C4×C61C22×D411yescharacteristic
278C2×C4×C61C2×#4112yes—
279C22⋊D61—48no—
280C22⋊D61—48no—
281C22⋊D61—48no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—28no—
285C2×Dic61—22no—
286C2×Dic61—24no—
287C2×Dic61—42no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61C2×C22⋊C412yes—
291C2×Dic61C2×C22⋊C412yes—
292C2×Dic61#12012yes—
293C2×Dic61#12312yes—
294D244—24no—
295D244—48no—
296D244—42no—
297C4×D61—28no—
298C4×D61—24no—
299C4×D61—24no—
300C4×D61—28no—
301C4×D61—416no—
302C4×D61—48no—
303C4×D61C4×D418yes—
304C4×D61#12118yes—
305C8×C61—42no—
306#92418—42no—
307#20912—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—82no—
317C22×C61—82no—
318C22×C61C22×C22⋊C411yescharacteristic
319C22×C61C2×#12011yescharacteristic
320C22×C61C2×#12311yescharacteristic
321C22×C61C2×AGL(1,ℤ/8)12yes—
322C22×C61#57512yes—
323C2×D61—24no—
324C2×D61—24no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—24no—
329C2×D61—24no—
330C2×D61—22no—
331C2×D61—416no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—816no—
336C2×D61—82no—
337C2×D61—82no—
338C2×D61#38614yes—
339C2×D61#41814yescomplemented
340C4×C61—22no—
341C4×C61—42no—
342C4×C61—44no—
343C4×C61C2×C4×D412yes—
344C4×C61C2×#12112yes—
345Dic61—22no—
346Dic61—42no—
347Dic61—44no—
348Dic61#38614yes—
349C22×#121—611no—
350C22×#117—611no—
351C2×#418—612no—
352C2×#407—611no—
353#1875—611no—
354#1875—611no—
355#1875—611no—
356#1875D6111yescharacteristic, complemented
357#1874—612no—
358#1874—612no—
359#1736—612no—
360C2×C61—42no—
361C2×C61—82no—
362C2×C61C2×#38611yescharacteristic
363C2×C61C2×#41811yescharacteristic
364C2×C61#289611yescharacteristic
365C2×C61#300612yes—
366C2×C61#309412yes—
367D61—24no—
368D61—24no—
369D61—82no—
370C23×D4—611no—
371C23×D4—1221no—
372C24×C4—611no—
373C22×M16—612no—
374C2×#121—611no—
375C2×#121—611no—
376C2×#121—618no—
377C2×#121—611no—
378C2×#121—1221no—
379C2×#121—1224no—
380C2×#121—1221no—
381C2×#121C2×D6111yescharacteristic
382C2×#117—611no—
383C2×#117—612no—
384C2×#117—1221no—
385C2×#117—1221no—
386C2×#117—1228no—
387C2×#117C2×D6111yescharacteristic, complemented
388C22×C4⋊C4—611no—
389C22×C4⋊C4—612no—
390C22×C22⋊C4—1221no—
391C22×C22⋊C4—1221no—
392C22×C42—1221no—
393#418—1228no—
394C2×#102—612no—
395C2×#102—612no—
396C2×#102—612no—
397C2×#102C2×D6112yescomplemented
398#407—1224no—
399C2×C22⋊C8—611no—
400C2×C22⋊C8—612no—
401C2×C22⋊C8C2×D6111yescharacteristic, complemented
402#340—612no—
403#340—612no—
404#340—612no—
405#340C2×D6112yescomplemented
406C61#2091211yescharacteristic, complemented, Sylow
407C25—611no—
408C25—1221no—
409C22×D4—21no—
410C22×D4—614no—
411C22×D4—611no—
412C22×D4—1221no—
413C22×D4—1224no—
414C22×D4—1224no—
415C22×D4—1222no—
416C22×D4—1221no—
417C22×D4—1228no—
418C22×D4—1221no—
419C22×D4—1221no—
420C22×D4—2448no—
421C22×D4C22×D6111yescharacteristic
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—614no—
425C23×C4—611no—
426C23×C4—614no—
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—1224no—
430C23×C4—1224no—
431C23×C4—1221no—
432C23×C4—1222no—
433C23×C4C22×D6111yescharacteristic
434C2×M16—1224no—
435C2×M16—1224no—
436C2×M16—1224no—
437C22×C8—612no—
438C22×C8C22×D6112yes—
439#121—22no—
440#121—614no—
441#121—614no—
442#121—614no—
443#121—1228no—
444#121—1222no—
445#121—1222no—
446#121—1228no—
447#121—1222no—
448#121C4×D6114yescomplemented
449#117—24no—
450#117—618no—
451#117—1228no—
452#117—1228no—
453#117—1224no—
454#117—1224no—
455C2×C4⋊C4—612no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—614no—
458C2×C4⋊C4—1224no—
459C2×C4⋊C4—1222no—
460C2×C4⋊C4—1222no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1224no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6112yes—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1228no—
468C2×C22⋊C4—1228no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—21no—
475C2×C42—1228no—
476C2×C42—1222no—
477C2×C42—1221no—
478#102—24no—
479#102—1224no—
480#102—1224no—
481#102—1224no—
482C22⋊C8—22no—
483C22⋊C8—1224no—
484C22⋊C8—1222no—
485C24—21no—
486C24—611no—
487C24—611no—
488C24—614no—
489C24—1222no—
490C24—1222no—
491C24—1224no—
492C24—1224no—
493C24—1221no—
494C24—2442no—
495C24—2442no—
496C24—2442no—
497C24—2444no—
498C24—2444no—
499C24D4×D6111yescharacteristic
500C2×D4—24no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—44no—
505C2×D4—612no—
506C2×D4—1224no—
507C2×D4—12216no—
508C2×D4—1224no—
509C2×D4—1224no—
510C2×D4—1224no—
511C2×D4—1222no—
512C2×D4—1221no—
513C2×D4—1222no—
514C2×D4—2444no—
515C2×D4—2448no—
516C2×D4—2442no—
517C2×D4—2442no—
518C2×D4—24432no—
519C2×D4—2444no—
520C2×D4—2444no—
521C2×D4C2×C4×D6112yes—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—21no—
526C22×C4—611no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—614no—
530C22×C4—614no—
531C22×C4—611no—
532C22×C4—614no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—614no—
536C22×C4—614no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—12216no—
540C22×C4—12216no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1224no—
544C22×C4—1228no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1221no—
551C22×C4—2444no—
552C22×C4—2444no—
553C22×C4—2444no—
554C22×C4C2×C4×D6112yes—
555C22×C4D4×D6112yes—
556C22×C4D4×D6111yescharacteristic
557C22×C4C23×D6111yescharacteristic
558M16—2448no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—1222no—
563C2×C8—1222no—
564C2×C8—1222no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—612no—
568C4⋊C4—614no—
569C4⋊C4—1224no—
570C4⋊C4—1228no—
571C4⋊C4—1222no—
572C4⋊C4—1221no—
573C4⋊C4C2×C4×D6112yes—
574C4⋊C4D4×D6114yescomplemented
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—1224no—
578C22⋊C4—1228no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C42—24no—
583C42—1228no—
584C42—1224no—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—42no—
593C23—42no—
594C23—612no—
595C23—612no—
596C23—612no—
597C23—612no—
598C23—614no—
599C23—1228no—
600C23—1228no—
601C23—1221no—
602C23—1221no—
603C23—1222no—
604C23—1222no—
605C23—1222no—
606C23—1222no—
607C23—4888no—
608C23—4888no—
609C23—2444no—
610C23—2448no—
611C23—2448no—
612C23—2448no—
613C23—2448no—
614C23—2448no—
615C23—2441no—
616C23—2441no—
617C23—2442no—
618C23—2442no—
619C23C22⋊C4×D6112yes—
620C23C2×D4×D6111yescharacteristic
621D4—24no—
622D4—48no—
623D4—42no—
624D4—1224no—
625D4—2448no—
626D4—2448no—
627D4—2448no—
628D4—2448no—
629D4—2442no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—612no—
642C2×C4—618no—
643C2×C4—618no—
644C2×C4—612no—
645C2×C4—1228no—
646C2×C4—1228no—
647C2×C4—1228no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1224no—
651C2×C4—1224no—
652C2×C4—1222no—
653C2×C4—1224no—
654C2×C4—24416no—
655C2×C4—2448no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4C22⋊C4×D6112yes—
660C2×C4C22×C4×D6111yescharacteristic
661C2×C4C2×D4×D6112yes—
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4#41×D6112yes—
664C8—42no—
665C8—2442no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—82no—
675C22—82no—
676C22—614no—
677C22—614no—
678C22—1222no—
679C22—1224no—
680C22—1224no—
681C22—1224no—
682C22—1224no—
683C22—1222no—
684C22—1222no—
685C22—1222no—
686C22—48816no—
687C22—4882no—
688C22—4882no—
689C22—24416no—
690C22—2442no—
691C22—2442no—
692C22—2442no—
693C22C2×C22⋊C4×D6111yescharacteristic
694C22#120×D6111yescharacteristic
695C22#123×D6111yescharacteristic
696C22AGL(1,ℤ/8)×D6112yes—
697C22#1684055912yes—
698C4—22no—
699C4—44no—
700C4—42no—
701C4—614no—
702C4—1222no—
703C4—2444no—
704C4—2442no—
705C4C4×D4×D6112yes—
706C4#121×D6112yes—
707C2—42no—
708C2—82no—
709C2—1224no—
710C2—1224no—
711C2—4882no—
712C2#386×D6111yescharacteristic
713C2#418×D6111yescharacteristic
714C2#2145433411yescharacteristic
715C2#2145506812yes—
716C2#2145575812yes—
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1875C2
socleC23×C61C22×D4
prime radicalC2×#121×D61C2
cosocleC22×C4×C61C24
hypercenter#1875D61
hypocenterC61#20912
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
2. C2×#117×D61C2semidirect
3. C2×#16839765C2semidirect
4. C2×#16839724C2semidirect
5. #21446142C2semidirect
6. #21446141C2semidirect
7. #21446139C2semidirect
8. #21446135C2semidirect
9. #21446133C2semidirect
10. #21445537C2semidirect
11. C61×#1875C2semidirect
22. #121×D61C4semidirect
23. C2×#14519736C22semidirect
29. C2×C4⋊C4×D61C22semidirect
34. C2×#14519699C22semidirect
35. C2×#14519698C22semidirect
36. C2×#14519697C22semidirect
38. C2×C22⋊#92418C22semidirect
39. C2×#14519689C22semidirect
40. #16839525C22semidirect
41. #16839524C22semidirect
42. #16839524C22semidirect
44. C2×#117×C61C22semidirect
45. C2×#102×C61C22semidirect
46. C2×C22⋊C8×C61C22semidirect
47. C61×#340C22semidirect
60. C2×D4×D61C2×C4semidirect
79. #14519751C2×C4semidirect
86. #14519735D4semidirect
96. C4⋊C4×D61C2×C4semidirect
117. #121×C61C2×C4semidirect
205. C4⋊C4×C61C2×D4semidirect
217. C4⋊Dic61C2×D4semidirect
339. C2×D61#418semidirect
356. #1875D61semidirect
387. C2×#117C2×D61semidirect
397. C2×#102C2×D61semidirect
401. C2×C22⋊C8C2×D61semidirect
405. #340C2×D61semidirect
406. C61#20912semidirect
448. #121C4×D61semidirect
574. C4⋊C4D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D612
C2×#117×D612
C2×#168397652
C2×#168397242
#214461422
#214461412
#214461392
#214461352
#214461332
#214455372
C61×#18752
#2091261