Finite Group Databasebeta

← #29686238

Subgroups — #29686238

Order 15616.

1136 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839975C211yesmaximal, characteristic
2C2×#16839853C211yesmaximal, characteristic, complemented
3C2×D8×Dic61C211yesmaximal, characteristic
4#21448366C211yesmaximal, characteristic, complemented
5C4×D4×Dic61C211yesmaximal, characteristic, complemented
6#21446750C211yesmaximal, characteristic, complemented
7#21446590C211yesmaximal, characteristic, complemented
8#21446461C211yesmaximal, characteristic, complemented
9#21446443C211yesmaximal, characteristic, complemented
10#21446153C211yesmaximal, characteristic, complemented
11#21445827C211yesmaximal, characteristic, complemented
12#21445667C211yesmaximal, characteristic, complemented
13#21445638C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1879C211yesmaximal, characteristic
16C22×#11758200C2211yescharacteristic
17C2×#14519764C2211yescharacteristic
18C2×#14519742C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C2×D4×Dic61C2211yescharacteristic
21C2×D4×Dic61C2211yescharacteristic
22C22×C4×Dic61—21no—
23#16839975C418yescomplemented
24#16839853—24no—
25D8×Dic61—24no—
26C2×#14519711C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×C8×Dic61C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839650—21no—
40#16839650—21no—
41#16839627C2211yescharacteristic
42C4⋊C4×Dic61C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C22⋊C4×Dic61—21no—
46C22⋊C4×Dic61—21no—
47C22⋊C4×Dic61—21no—
48C22⋊C4×Dic61—21no—
49C4×C22⋊Dic61—21no—
50C42×Dic61C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839517C2211yescharacteristic
55C22×D8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C23×Dic61—21no—
64C23×Dic61—21no—
65C23×Dic61—21no—
66C2×#11758200—22no—
67C2×#11758200—22no—
68C2×#11758200C2×C414yescomplemented
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519764—22no—
72#14519764C2×C414yescomplemented
73#14519742—22no—
74#14519742—22no—
75D4×Dic61—22no—
76D4×Dic61—22no—
77D4×Dic61—22no—
78D4×Dic61—22no—
79D4×Dic61C2×C414yescomplemented
80D4×Dic61D414yes—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×#11758196—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93C2×C4×Dic61—21no—
94C2×C4×Dic61—44no—
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61D411yescharacteristic
98C2×C4×Dic61D411yescharacteristic
99C2×C4×Dic61C2311yescharacteristic
100C2×C4×Dic61C2311yescharacteristic
101#14519711—22no—
102#14519708—22no—
103#14519706—22no—
104#14519706C2×C414yescomplemented
105#14519702—22no—
106#14519702C2×C414yescomplemented
107#14519700—22no—
108#14519698—22no—
109#14519698—22no—
110#14519698C2×C414yescomplemented
111C8×Dic61—22no—
112C8×Dic61—22no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120C22×D4×C61C2311yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C23×C4×C61—21no—
123C2×D8×C61—22no—
124C2×D8×C61—22no—
125C2×D8×C61C2×C414yes—
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C4×D4×C61—22no—
129C4×D4×C61—22no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C42×C61C2311yescharacteristic
136#102×C61—22no—
137#102×C61—22no—
138C24×C61—21no—
139C24×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61C22×C412yes—
149C2×D4×C61C22×C412yes—
150C2×D4×C61C2×D412yes—
151C2×D4×C61#4112yes—
152C22×C4×C61—24no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—24no—
164C22×Dic61—24no—
165C22×Dic61—21no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61C2×D411yescharacteristic
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D411yescharacteristic
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122C22×C412yes—
183D8×C61—28no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C22×C412yes—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61#4112yes—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—42no—
197C42×C61—21no—
198C42×C61—21no—
199C22⋊Dic61—24no—
200C22⋊Dic61—24no—
201C22⋊Dic61—24no—
202C22⋊Dic61—24no—
203C22⋊Dic61—42no—
204#11758200—28no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61C22×C412yes—
210C4⋊Dic61C2×D412yes—
211#11758196—42no—
212C4×Dic61—22no—
213C4×Dic61—22no—
214C4×Dic61—22no—
215C4×Dic61—41no—
216C4×Dic61—42no—
217C4×Dic61—42no—
218C4×Dic61—42no—
219C4×Dic61—42no—
220C4×Dic61C22×C412yes—
221C4×Dic61C2×D412yes—
222C4×Dic61#4112yes—
223C4×Dic61#4112yes—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418C22×C412yes—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245D4×C61—22no—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—22no—
250D4×C61—41no—
251D4×C61—41no—
252D4×C61C4×D414yes—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—22no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—48no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61#13512yes—
266C2×C4×C61C23×C411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—48no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—48no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—84no—
293C2×Dic61C4×D412yes—
294C2×Dic61C4×D412yes—
295C2×Dic61#12112yes—
296C2×Dic61#12112yes—
297C2×Dic61#13512yes—
298C2×Dic61AGL(1,ℤ/8)12yes—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303C8×C61—22no—
304C8×C61—41no—
305#92418—22no—
306#92418—41no—
307C4×#463—611nomaximal, Sylow
308C22×C61—24no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61C2×C4×D411yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C22×C61#52511yescharacteristic
325C22×C61C2×#13511yescharacteristic
326C22×C61C2×#13511yescharacteristic
327C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C61#57511yescharacteristic
329C4×C61—22no—
330C4×C61—41no—
331C4×C61—42no—
332C4×C61—81no—
333C4×C61C2×C4×D411yescharacteristic
334C4×C61C4×#4111yescharacteristic
335C4×C61#52911yescharacteristic
336C4×C61#53211yescharacteristic
337Dic61—22no—
338Dic61—22no—
339Dic61—22no—
340Dic61—42no—
341Dic61—42no—
342Dic61—42no—
343Dic61—81no—
344Dic61#46314yescomplemented
345C2×#463—611no—
346C2×C4×SD16—611no—
347C2×C4×D8—611no—
348C4×#124—611no—
349C42×D4—611no—
350#1983—611no—
351#1949—611no—
352#1928—611no—
353#1926—611no—
354#1879D6111yescharacteristic
355#1877—611no—
356#1804—611no—
357C4×C4⋊C8—611no—
358C4×#103—611no—
359C4×#102—611no—
360C2×C61—44no—
361C2×C61—82no—
362C2×C61C4×#12111yescharacteristic
363C2×C61C4×#13511yescharacteristic
364C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
365C2×C61C2×#46311yescharacteristic
366C2×C61#303511yescharacteristic
367C2×C61#310211yescharacteristic
368C2×C61#310511yescharacteristic
369C22×SD16—611no—
370C22×D8C2×D6111yescharacteristic
371C2×#124—611no—
372C2×C4×Q8—611no—
373C2×C4×D4—611no—
374C2×C4×D4—611no—
375C2×C4×D4—611no—
376C2×C4×D4C2×D6111yescharacteristic
377C22×C42—1221no—
378#463—618no—
379C4×SD16—1224no—
380C4×D8—1224no—
381C2×#107—611no—
382C2×#106—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102C2×D6111yescharacteristic
392C2×#102C2×D6111yescharacteristic
393C2×C4×C8—611no—
394C2×C4×C8—611no—
395#391—611no—
396#390C2×D6111yescharacteristic
397#388—1221no—
398#388—1221no—
399#382—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—611no—
402C4×C4⋊C4—611no—
403C4×C22⋊C4—1221no—
404C4×C22⋊C4—1221no—
405C4×C22⋊C4—1221no—
406C4×C22⋊C4—1221no—
407C4×C22⋊C4—1221no—
408C43—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340C2×D6111yescharacteristic
413#336—611no—
414#336C2×D6111yescharacteristic
415C61C4×#46311yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4C22×D6111yescharacteristic
418C22×D4C22×D6111yescharacteristic
419C23×C4—21no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4—1221no—
423C2×SD16—614no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C2×D8—22no—
427C2×D8—22no—
428C2×D8C4×D6114yes—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433#124—614no—
434#124—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—614no—
440C4×D4—614no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—1222no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—2444no—
470C2×C42C22×D6111yescharacteristic
471#107—1222no—
472#106—1222no—
473C4⋊C8—614no—
474C4⋊C8—1222no—
475#103—614no—
476#103—1222no—
477#103—1222no—
478#102—22no—
479#102—22no—
480#102—614no—
481#102—1222no—
482#102—1222no—
483C4×C8—1222no—
484C4×C8—1222no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—21no—
493C24—21no—
494C2×Q8—612no—
495C2×Q8—1221no—
496C2×Q8—1221no—
497C2×Q8—1221no—
498C2×Q8—1221no—
499C2×Q8—1221no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C2×C4×D6112yes—
509C2×D4C2×C4×D6112yes—
510C2×D4D4×D6112yes—
511C2×D4#1175822412yes—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—1224no—
522C22×C4—1224no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4D4×D6111yescharacteristic
535C22×C4D4×D6111yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—1228no—
538D8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—612no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8C2×C4×D6112yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—612no—
555C4⋊C4—612no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—2442no—
561C4⋊C4#1175822412yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—1224no—
568C22⋊C4—1224no—
569C22⋊C4—2442no—
570C42—21no—
571C42—21no—
572C42—612no—
573C42—612no—
574C42—612no—
575C42—612no—
576C42—1222no—
577C42—1222no—
578C42—1222no—
579C42—2441no—
580C42—2442no—
581C42—2442no—
582C42—2442no—
583C42—2442no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23C2×D4×D6111yescharacteristic
599Q8—1222no—
600Q8—1222no—
601Q8—2441no—
602Q8—2441no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—22no—
607D4—22no—
608D4—41no—
609D4—41no—
610D4#1451973714yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—48no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—612no—
624C2×C4—612no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—612no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—4884no—
639C2×C4—2448no—
640C2×C4—2448no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4#1451979612yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4C2×#1175822411yescharacteristic
656C2×C4C2×#1175822411yescharacteristic
657C8—22no—
658C8—41no—
659C8—1222no—
660C8—2441no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C4×D4×D6111yescharacteristic
676C22#121×D6111yescharacteristic
677C22#1684026811yescharacteristic
678C22#135×D6111yescharacteristic
679C22C2×#1451979611yescharacteristic
680C22AGL(1,ℤ/8)×D6111yescharacteristic
681C22#1684055811yescharacteristic
682C4—22no—
683C4—41no—
684C4—42no—
685C4—81no—
686C4—614no—
687C4—1222no—
688C4—1222no—
689C4—1222no—
690C4—4881no—
691C4—2442no—
692C4—2442no—
693C4—2442no—
694C4C2×#1451973711yescharacteristic
695C4C4×#1175822411yescharacteristic
696C4#1684028911yescharacteristic
697C4#1684030711yescharacteristic
698C2—44no—
699C2—82no—
700C2#2144832911yescharacteristic
701C2C4×#1451979611yescharacteristic
702C2#2145463011yescharacteristic
703C2#463×D6111yescharacteristic
704C2#2145526711yescharacteristic
705C2#2145583011yescharacteristic
706C2#2145586111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1879C2
socleC23×C61C22×D4
prime radicalC22×D8×C61C22
cosocleC22×C4×C61C24
hypercenter#1879D61
hypocenterC61C4×#463
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
2. C2×#16839853C2semidirect
4. #21448366C2semidirect
5. C4×D4×Dic61C2semidirect
6. #21446750C2semidirect
7. #21446590C2semidirect
8. #21446461C2semidirect
9. #21446443C2semidirect
10. #21446153C2semidirect
11. #21445827C2semidirect
12. #21445667C2semidirect
13. #21445638C2semidirect
14. #102×Dic61C2semidirect
23. #16839975C4semidirect
68. C2×#11758200C2×C4semidirect
72. #14519764C2×C4semidirect
79. D4×Dic61C2×C4semidirect
104. #14519706C2×C4semidirect
106. #14519702C2×C4semidirect
110. #14519698C2×C4semidirect
344. Dic61#463semidirect
415. C61C4×#463semidirect

Maximal subgroups

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

subgroupindex
C2×#168399752
C2×#168398532
C2×D8×Dic612
#214483662
C4×D4×Dic612
#214467502
#214465902
#214464612
#214464432
#214461532
#214458272
#214456672
#214456382
#102×Dic612
C61×#18792
C4×#46361