Finite Group Databasebeta

← D61×#1442 #29601697

Subgroups — D61×#1442 #29601697

Order 15616.

2942 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D61C211yesmaximal, characteristic
2C2×#95×D61C212yesmaximal
3C2×#95×D61C211yesmaximal, characteristic
4C2×#95×D61C212yesmaximal
5C2×#95×D61C211yesmaximal, characteristic
6#21444078C211yesmaximal, characteristic, complemented
7#21444077C212yesmaximal, complemented
8#21444076C211yesmaximal, characteristic, complemented
9#21444075C211yesmaximal, characteristic, complemented
10#21444074C212yesmaximal, complemented
11C61×#1442C211yesmaximal, characteristic, complemented
12C23×C4×D61C2212yes—
13C23×C4×D61C2212yes—
14C23×C4×D61C2211yescharacteristic
15C23×C4×D61C2211yescharacteristic
16C23×C4×D61C2211yescharacteristic
17C22×C4⋊Dic61C2211yescharacteristic
18C22×#11758196C2212yes—
19C2×C4⋊C4×D61—28no—
20C2×C4⋊C4×D61—24no—
21C2×#14519684C2211yescharacteristic
22C2×#14519684C2212yes—
23C2×#14519684C2212yes—
24C2×#14519684C2212yes—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2211yescharacteristic
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2212yes—
30C2×#14519684C2212yes—
31C2×#14519684C2211yescharacteristic
32#95×D61—28no—
33#95×D61—28no—
34#95×D61—24no—
35#95×D61C418yescomplemented
36C22×C4⋊C4×C61C2211yescharacteristic
37C2×#95×C61C2212yes—
38C2×#95×C61C2211yescharacteristic
39C2×#95×C61C2212yes—
40C2×#95×C61C2211yescharacteristic
41C24×D61C2311yescharacteristic
42C23×Dic61C2312yes—
43C23×Dic61C2312yes—
44C23×Dic61C2311yescharacteristic
45C23×Dic61C2311yescharacteristic
46C23×Dic61C2311yescharacteristic
47C22×C4×D61—24no—
48C22×C4×D61—24no—
49C22×C4×D61—24no—
50C22×C4×D61—24no—
51C22×C4×D61—24no—
52C22×C4×D61—24no—
53C22×C4×D61—24no—
54C22×C4×D61—22no—
55C22×C4×D61—22no—
56C22×C4×D61—24no—
57C22×C4×D61—24no—
58C22×C4×D61—24no—
59C22×C4×D61—24no—
60C22×C4×D61—24no—
61C22×C4×D61—24no—
62C22×C4×D61—22no—
63C22×C4×D61—24no—
64C22×C4×D61—22no—
65C22×C4×D61—24no—
66C22×C4×D61—24no—
67C22×C4×D61—24no—
68C22×C4×D61—24no—
69C22×C4×D61C2×C418yes—
70C22×C4×D61C2×C414yes—
71C22×C4×D61D418yes—
72C22×C4×D61D414yes—
73C22×C4×D61D414yes—
74C22×C4×D61Q814yes—
75C22×C4×D61Q814yes—
76C2×C4⋊Dic61—22no—
77C2×C4⋊Dic61—24no—
78C2×#11758196—24no—
79C2×#11758196—24no—
80C2×#11758196—24no—
81C4⋊C4×D61—232no—
82#14519684—24no—
83#14519684—24no—
84#14519684—22no—
85#14519684—24no—
86#14519684—24no—
87#14519684—24no—
88#14519684—24no—
89#14519684—22no—
90#14519684—22no—
91#14519684C2×C414yescomplemented
92#14519684C2×C418yescomplemented
93C23×C4×C61C2312yes—
94C23×C4×C61C2312yes—
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2311yescharacteristic
97C23×C4×C61C2311yescharacteristic
98C2×C4⋊C4×C61—24no—
99C2×C4⋊C4×C61—22no—
100#95×C61—24no—
101#95×C61—24no—
102#95×C61—22no—
103#95×C61C2×C414yescomplemented
104C24×C61C2411yescharacteristic
105C23×D61C22×C412yes—
106C23×D61C2×D412yes—
107C23×D61C2×D414yes—
108C23×D61C2×D412yes—
109C23×D61C2×Q812yes—
110C23×D61C2×Q812yes—
111C23×D61#4114yes—
112C23×D61#4114yes—
113C23×D61#4114yes—
114C23×D61#4112yes—
115C23×D61#4112yes—
116C22×C4×C61—22no—
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—22no—
120C22×C4×C61—22no—
121C22×C4×C61—21no—
122C22×C4×C61—21no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—21no—
132C22×C4×C61—22no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61C22×C414yes—
139C22×C4×C61C22×C412yes—
140C22×C4×C61C2×D412yes—
141C22×C4×C61C2×D414yes—
142C22×C4×C61C2×D412yes—
143C22×C4×C61C2×Q812yes—
144C22×C4×C61C2×Q812yes—
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—22no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—21no—
161C22×Dic61—22no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61C22×C414yes—
168C22×Dic61C22×C412yes—
169C22×Dic61C2×D412yes—
170C22×Dic61C2×D414yes—
171C22×Dic61C2×D412yes—
172C22×Dic61C2×Q812yes—
173C22×Dic61C2×Q812yes—
174C2×C4×D61—216no—
175C2×C4×D61—28no—
176C2×C4×D61—216no—
177C2×C4×D61—28no—
178C2×C4×D61—216no—
179C2×C4×D61—216no—
180C2×C4×D61—216no—
181C2×C4×D61—216no—
182C2×C4×D61—216no—
183C2×C4×D61—28no—
184C2×C4×D61—216no—
185C2×C4×D61—28no—
186C2×C4×D61—216no—
187C2×C4×D61—216no—
188C2×C4×D61—44no—
189C2×C4×D61—48no—
190C2×C4×D61—48no—
191C2×C4×D61—48no—
192C2×C4×D61—48no—
193C2×C4×D61—48no—
194C2×C4×D61—44no—
195C2×C4×D61—48no—
196C2×C4×D61—44no—
197C2×C4×D61—48no—
198C2×C4×D61—48no—
199C2×C4×D61—44no—
200C2×C4×D61—48no—
201C2×C4×D61—48no—
202C2×C4×D61C4⋊C4116yes—
203C4⋊C4×C61—28no—
204C4⋊Dic61—28no—
205#11758196—216no—
206C23×C61C23×C411yescharacteristic
207C23×C61C22×D411yescharacteristic
208C23×C61C22×D412yes—
209C23×C61C22×D411yescharacteristic
210C23×C61C22×Q811yescharacteristic
211C23×C61C22×Q811yescharacteristic
212C23×C61C2×#4112yes—
213C23×C61C2×#4112yes—
214C23×C61C2×#4112yes—
215C23×C61C2×#4111yescharacteristic
216C23×C61C2×#4111yescharacteristic
217C22×D61C2×C4⋊C414yes—
218C22×D61#11718yes—
219C22×D61C4×D418yes—
220C22×D61C4×D414yes—
221C22×D61C4×Q814yes—
222C22×D61#12014yes—
223C22×D61#12118yes—
224C22×D61#12114yes—
225C22×D61C22⋊Q818yes—
226C22×D61C22⋊Q818yes—
227C22×D61C22⋊Q814yes—
228C22×D61#12314yes—
229C22×D61#12318yes—
230C22×D61#12318yes—
231C22×D61#12414yes—
232C22×D61#12414yes—
233C22×D61#12418yes—
234C22×D61#12518yes—
235C22×D61#12518yes—
236C22×D61#12514yes—
237C22×D61#12618yes—
238C22×D61#12618yes—
239C22×D61C4⋊Q814yes—
240C2×C4×C61—24no—
241C2×C4×C61—22no—
242C2×C4×C61—24no—
243C2×C4×C61—22no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—22no—
250C2×C4×C61—24no—
251C2×C4×C61—22no—
252C2×C4×C61—24no—
253C2×C4×C61—24no—
254C2×C4×C61—41no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61—41no—
260C2×C4×C61—42no—
261C2×C4×C61—41no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61—41no—
265C2×C4×C61—42no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61C2×C4⋊C414yes—
269C2×Dic61—24no—
270C2×Dic61—22no—
271C2×Dic61—24no—
272C2×Dic61—22no—
273C2×Dic61—24no—
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—22no—
279C2×Dic61—24no—
280C2×Dic61—22no—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—41no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61—41no—
289C2×Dic61—42no—
290C2×Dic61—41no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—41no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61C2×C4⋊C414yes—
298C4×D61—232no—
299C4×D61—432no—
300C4×D61—416no—
301C4×D61—432no—
302C4×D61—416no—
303C2×#1442—611nomaximal, Sylow
304C22×C61C22×C4⋊C411yescharacteristic
305C22×C61C2×#11712yes—
306C22×C61C2×C4×D412yes—
307C22×C61C2×C4×D411yescharacteristic
308C22×C61C2×C4×Q811yescharacteristic
309C22×C61C2×#12011yescharacteristic
310C22×C61C2×#12111yescharacteristic
311C22×C61C2×#12112yes—
312C22×C61C2×C22⋊Q812yes—
313C22×C61C2×C22⋊Q811yescharacteristic
314C22×C61C2×C22⋊Q812yes—
315C22×C61C2×#12312yes—
316C22×C61C2×#12312yes—
317C22×C61C2×#12311yescharacteristic
318C22×C61C2×#12411yescharacteristic
319C22×C61C2×#12412yes—
320C22×C61C2×#12411yescharacteristic
321C22×C61C2×#12512yes—
322C22×C61C2×#12512yes—
323C22×C61C2×#12511yescharacteristic
324C22×C61C2×#12612yes—
325C22×C61C2×#12612yes—
326C22×C61C2×C4⋊Q811yescharacteristic
327C2×D61#38218yes—
328C2×D61#38518yes—
329C2×D61#387116yes—
330C2×D61#388116yes—
331C2×D61#38918yes—
332C2×D61#39318yes—
333C2×D61#39418yes—
334C2×D61#39718yes—
335C2×D61#398116yes—
336C2×D61#400116yes—
337C2×D61#40018yes—
338C4×C61—24no—
339C4×C61—42no—
340C4×C61—44no—
341C4×C61—42no—
342C4×C61—44no—
343Dic61—24no—
344Dic61—42no—
345Dic61—44no—
346Dic61—42no—
347Dic61—44no—
348C23×C4⋊C4—611no—
349C22×#95—611no—
350C22×#95—611no—
351C22×#95—612no—
352C22×#95—612no—
353#1442—612no—
354#1442—611no—
355#1442—611no—
356#1442—612no—
357#1442—611no—
358#1442D6111yescharacteristic, direct product factor
359C2×C61C2×#38211yescharacteristic
360C2×C61C2×#38511yescharacteristic
361C2×C61C2×#38712yes—
362C2×C61C2×#38812yes—
363C2×C61C2×#38911yescharacteristic
364C2×C61C2×#39311yescharacteristic
365C2×C61C2×#39411yescharacteristic
366C2×C61C2×#39711yescharacteristic
367C2×C61C2×#39812yes—
368C2×C61C2×#40011yescharacteristic
369C2×C61C2×#40012yes—
370D61#1442116yesdirect product factor
371C24×C4—611no—
372C24×C4—612no—
373C24×C4—612no—
374C24×C4—611no—
375C24×C4—611no—
376C22×C4⋊C4—612no—
377C22×C4⋊C4—611no—
378C22×C4⋊C4—1224no—
379C22×C4⋊C4—1228no—
380C22×C4⋊C4C2×D6111yescharacteristic
381C2×#95—612no—
382C2×#95—611no—
383C2×#95—618no—
384C2×#95—611no—
385C2×#95—611no—
386C2×#95—612no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—612no—
390C2×#95—612no—
391C2×#95—612no—
392C2×#95—611no—
393C2×#95—1224no—
394C2×#95—1228no—
395C2×#95—1228no—
396C2×#95C2×D6112yes—
397C2×#95C2×D6112yes—
398C2×#95C2×D6111yescharacteristic
399C2×#95C2×D6111yescharacteristic
400C61C2×#144211yescharacteristic, complemented, Sylow
401C25—611no—
402C23×C4—611no—
403C23×C4—614no—
404C23×C4—614no—
405C23×C4—614no—
406C23×C4—612no—
407C23×C4—612no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—618no—
411C23×C4—618no—
412C23×C4—614no—
413C23×C4—614no—
414C23×C4—1224no—
415C23×C4—1224no—
416C23×C4—1224no—
417C23×C4—1224no—
418C23×C4—1224no—
419C23×C4—1224no—
420C23×C4—1224no—
421C23×C4—1224no—
422C23×C4—1224no—
423C23×C4—1224no—
424C23×C4—1224no—
425C23×C4—1222no—
426C23×C4—1224no—
427C23×C4—1222no—
428C23×C4—1224no—
429C23×C4—1224no—
430C23×C4—1224no—
431C23×C4—1224no—
432C23×C4—1224no—
433C23×C4—1222no—
434C23×C4—1222no—
435C23×C4—1224no—
436C23×C4C22×D6112yes—
437C23×C4C22×D6112yes—
438C23×C4C22×D6111yescharacteristic
439C23×C4C22×D6111yescharacteristic
440C23×C4C22×D6111yescharacteristic
441C2×C4⋊C4—24no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—12232no—
444C2×C4⋊C4—1224no—
445C2×C4⋊C4—1224no—
446C2×C4⋊C4—1224no—
447C2×C4⋊C4—1224no—
448C2×C4⋊C4—1222no—
449#95—24no—
450#95—24no—
451#95—22no—
452#95—618no—
453#95—614no—
454#95—1222no—
455#95—1222no—
456#95—1224no—
457#95—1224no—
458#95—1224no—
459#95—1224no—
460#95—1224no—
461#95—1224no—
462#95—1222no—
463#95C4×D6114yescomplemented
464C24—612no—
465C24—612no—
466C24—614no—
467C24—612no—
468C24—612no—
469C24—612no—
470C24—614no—
471C24—614no—
472C24—614no—
473C24—612no—
474C24—612no—
475C24C23×D6111yescharacteristic
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—612no—
499C22×C4—612no—
500C22×C4—612no—
501C22×C4—6116no—
502C22×C4—614no—
503C22×C4—612no—
504C22×C4—614no—
505C22×C4—612no—
506C22×C4—1228no—
507C22×C4—12216no—
508C22×C4—12216no—
509C22×C4—1228no—
510C22×C4—12216no—
511C22×C4—12216no—
512C22×C4—12216no—
513C22×C4—12216no—
514C22×C4—12216no—
515C22×C4—1228no—
516C22×C4—12216no—
517C22×C4—1228no—
518C22×C4—12216no—
519C22×C4—12216no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1221no—
536C22×C4—1222no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—2444no—
543C22×C4—2448no—
544C22×C4—2448no—
545C22×C4—2448no—
546C22×C4—2448no—
547C22×C4—2448no—
548C22×C4—2444no—
549C22×C4—2448no—
550C22×C4—2448no—
551C22×C4—2444no—
552C22×C4—2448no—
553C22×C4—2444no—
554C22×C4—2448no—
555C22×C4—2448no—
556C22×C4C2×C4×D6114yes—
557C22×C4C2×C4×D6112yes—
558C22×C4D4×D6112yes—
559C22×C4D4×D6114yes—
560C22×C4D4×D6112yes—
561C22×C4Q8×D6112yes—
562C22×C4Q8×D6112yes—
563C4⋊C4—28no—
564C4⋊C4—12216no—
565C4⋊C4—1228no—
566C23—614no—
567C23—618no—
568C23—618no—
569C23—614no—
570C23—614no—
571C23—614no—
572C23—618no—
573C23—614no—
574C23—618no—
575C23—618no—
576C23—614no—
577C23—614no—
578C23—618no—
579C23—618no—
580C23—614no—
581C23—614no—
582C23—618no—
583C23—618no—
584C23—618no—
585C23—614no—
586C23—618no—
587C23—618no—
588C23—614no—
589C23C22×C4×D6111yescharacteristic
590C23C2×D4×D6111yescharacteristic
591C23C2×D4×D6112yes—
592C23C2×D4×D6111yescharacteristic
593C23C2×Q8×D6111yescharacteristic
594C23C2×Q8×D6111yescharacteristic
595C23#41×D6112yes—
596C23#41×D6112yes—
597C23#41×D6112yes—
598C23#41×D6111yescharacteristic
599C23#41×D6111yescharacteristic
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—614no—
629C2×C4—12232no—
630C2×C4—1224no—
631C2×C4—1222no—
632C2×C4—1224no—
633C2×C4—1222no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1222no—
640C2×C4—1224no—
641C2×C4—1222no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—24432no—
645C2×C4—24416no—
646C2×C4—24432no—
647C2×C4—24416no—
648C2×C4—2441no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2441no—
655C2×C4—2442no—
656C2×C4—2441no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2441no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4C4⋊C4×D6114yes—
663C22—618no—
664C22—618no—
665C22—6116no—
666C22—6116no—
667C22—618no—
668C22—618no—
669C22—618no—
670C22—618no—
671C22—6116no—
672C22—6116no—
673C22—618no—
674C22C2×C4⋊C4×D6111yescharacteristic
675C22#117×D6112yes—
676C22C4×D4×D6112yes—
677C22C4×D4×D6111yescharacteristic
678C22C4×Q8×D6111yescharacteristic
679C22#120×D6111yescharacteristic
680C22#121×D6112yes—
681C22#121×D6111yescharacteristic
682C22C22⋊Q8×D6112yes—
683C22C22⋊Q8×D6112yes—
684C22C22⋊Q8×D6111yescharacteristic
685C22#123×D6111yescharacteristic
686C22#123×D6112yes—
687C22#123×D6112yes—
688C22#124×D6111yescharacteristic
689C22#124×D6111yescharacteristic
690C22#124×D6112yes—
691C22#125×D6112yes—
692C22#125×D6112yes—
693C22#125×D6111yescharacteristic
694C22#126×D6112yes—
695C22#126×D6112yes—
696C22C4⋊Q8×D6111yescharacteristic
697C4—24no—
698C4—44no—
699C4—42no—
700C4—44no—
701C4—42no—
702C4—1224no—
703C4—2444no—
704C4—2442no—
705C4—2444no—
706C4—2442no—
707C2—6116no—
708C2#382×D6111yescharacteristic
709C2#385×D6111yescharacteristic
710C2#387×D6112yes—
711C2#388×D6112yes—
712C2#389×D6111yescharacteristic
713C2#393×D6111yescharacteristic
714C2#394×D6111yescharacteristic
715C2#397×D6111yescharacteristic
716C2#398×D6112yes—
717C2#400×D6112yes—
718C2#400×D6111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1442C2
socle, cosocleC24×C61C24
prime radicalC24×D61C23
hypercenter#1442D61
hypocenterC61C2×#1442
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1442

Complements

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

NH ≅ G/Ntype
6. #21444078C2semidirect
7. #21444077C2semidirect
8. #21444076C2semidirect
9. #21444075C2semidirect
10. #21444074C2semidirect
11. C61×#1442C2semidirect
35. #95×D61C4semidirect
91. #14519684C2×C4semidirect
92. #14519684C2×C4semidirect
103. #95×C61C2×C4semidirect
358. #1442D61direct (N × H)
370. D61#1442direct (N × H)
400. C61C2×#1442semidirect
463. #95C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D612
C2×#95×D612
#214440782
#214440772
#214440762
#214440752
#214440742
C61×#14422
C2×#144261