Finite Group Databasebeta

← D61×#1912 #29682007

Subgroups — D61×#1912 #29682007

Order 15616.

1694 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#536×D61C211yesmaximal, characteristic
2#519×D61C211yesmaximal, characteristic, complemented
3#421×D61C212yesmaximal
4C2×#101×D61C211yesmaximal, characteristic, complemented
5#21446357C211yesmaximal, characteristic, complemented
6#21446356C211yesmaximal, characteristic, complemented
7#21446355C212yesmaximal, complemented
8#21446354C211yesmaximal, characteristic, complemented
9#21446353C212yesmaximal, complemented
10H(3,ℤ/4)×D61C212yesmaximal, complemented
11C61×#1912C211yesmaximal, characteristic, complemented
12C2×#41×D61C2211yescharacteristic
13C22×Q8×D61C2211yescharacteristic
14C2×M16×D61C2212yes—
15#16840338C2211yescharacteristic
16#16840337C412yescomplemented
17#16840336C2211yescharacteristic
18#16840335—22no—
19#16840334—22no—
20#16840333C2211yescharacteristic
21#16840332C412yescomplemented
22C4⋊Q8×D61C412yescomplemented
23#124×D61C412yescomplemented
24#123×D61—22no—
25C22⋊Q8×D61—22no—
26#16840240C2211yescharacteristic, complemented
27#16840239—22no—
28#16840239C2212yescomplemented
29#16840238—24no—
30C4×Q8×D61—24no—
31#117×D61—22no—
32#117×D61C2211yescharacteristic
33#117×D61C2212yes—
34#16839780C2212yes—
35#16839779C2212yes—
36#16839778C2212yes—
37#16839777—24no—
38#104×D61—24no—
39C2×#14519696C2211yescharacteristic, complemented
40C2×#14519695C2212yescomplemented
41#101×D61—22no—
42#101×D61—22no—
43#16839519C2212yescomplemented
44#16839518C2212yescomplemented
45#16839518C2212yescomplemented
46C61×#536C2211yescharacteristic
47C61×#519C2211yescharacteristic, complemented
48C61×#421C2212yes—
49C2×#101×C61C2211yescharacteristic, complemented
50C61×H(3,ℤ/4)C2212yescomplemented
51C2×#11758226C2×C411yescharacteristic
52C2×#11758222—21no—
53C2×#11758222C2311yescharacteristic
54C2×#11758224—21no—
55C2×#11758224C2×C411yescharacteristic
56#41×D61—22no—
57#41×D61—22no—
58#41×D61—22no—
59#41×D61—22no—
60C22×Dic122D412yes—
61C22×Dic122C2311yescharacteristic
62C2×Q8×D61—22no—
63C2×Q8×D61—22no—
64C2×Q8×D61—22no—
65C2×Q8×D61—22no—
66C2×Q8×D61C2×C411yescharacteristic
67C2×Q8×D61C2×C412yes—
68C2×Q8×D61C2×C412yes—
69C2×Q8×D61D412yes—
70C2×Q8×D61D412yes—
71C2×D4×D61—21no—
72C2×D4×D61C2×C411yescharacteristic
73C22×C4×D61—21no—
74C22×C4×D61D412yes—
75C22×C4×D61C2311yescharacteristic
76C2×#11758194C2312yes—
77C2×#11758189—22no—
78M16×D61—22no—
79M16×D61—22no—
80M16×D61—22no—
81M16×D61—22no—
82C2×C8×D61—22no—
83#14519777C2×C412yescomplemented
84#14519776—24no—
85#14519775C2×C412yescomplemented
86#14519775C2×C412yescomplemented
87#14519766C2×C412yescomplemented
88#14519765C2×C412yescomplemented
89#14519764C2×C412yescomplemented
90#14519763—24no—
91#14519762—24no—
92#14519761—22no—
93#14519760—22no—
94#14519759—24no—
95#14519758—22no—
96#14519757—22no—
97#14519756—22no—
98#14519755—24no—
99#14519754—24no—
100#14519753—22no—
101Q8×Dic61—24no—
102C4×Dic122—28no—
103C4×Dic122—24no—
104#14519742—28no—
105#14519742—24no—
106#14519736—22no—
107#14519736C2311yescharacteristic
108#14519736C2312yes—
109#14519735—24no—
110#14519735—22no—
111#14519735—21no—
112#14519734—24no—
113#14519734C2×C412yes—
114#14519734D414yes—
115#14519733—24no—
116#14519733—22no—
117#14519733—21no—
118C4⋊C4×D61—24no—
119C4⋊C4×D61—24no—
120C4⋊C4×D61—22no—
121C4⋊C4×D61—21no—
122C22⋊C4×D61—22no—
123C22⋊C4×D61—21no—
124C22⋊C4×D61—24no—
125C42×D61—24no—
126C42×D61C2×C412yes—
127C42×D61D414yes—
128#14519705—24no—
129#14519704—24no—
130#14519703—24no—
131#14519696—22no—
132#14519695—24no—
133C2×#41×C61C2311yescharacteristic
134C22×Q8×C61C2311yescharacteristic
135C2×M16×C61C2312yes—
136C4⋊Q8×C61C2×C412yescomplemented
137#124×C61C2×C412yescomplemented
138#123×C61—22no—
139C22⋊Q8×C61—22no—
140C4×Q8×C61—24no—
141#117×C61—22no—
142#117×C61C2311yescharacteristic
143#117×C61C2312yes—
144#104×C61—24no—
145#101×C61—22no—
146C23×D61—21no—
147C23×D61C2×D411yescharacteristic
148#41×C61—22no—
149#41×C61—22no—
150C2×Q8×C61—22no—
151C2×Q8×C61—22no—
152C2×Q8×C61C22×C411yescharacteristic
153C2×Q8×C61C22×C412yes—
154C2×Q8×C61C2×D412yes—
155C2×D4×C61—21no—
156C2×D4×C61C22×C411yescharacteristic
157C22×C4×C61—21no—
158C22×C4×C61C2×D412yes—
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—21no—
161C2×C22⋊D61—21no—
162C2×C22⋊D61—21no—
163C22×Dic61—21no—
164C22×Dic61C2×D412yes—
165C22×Dic61C2×D411yescharacteristic
166#11758226—22no—
167#11758226—22no—
168Q8×D61—24no—
169Q8×D61—24no—
170Q8×D61—24no—
171Q8×D61—24no—
172Q8×D61—24no—
173Q8×D61—24no—
174Q8×D61—24no—
175Q8×D61—24no—
176Q8×D61—22no—
177Q8×D61—22no—
178#11758224—22no—
179#11758224—22no—
180#11758224—42no—
181#11758224—42no—
182D4×D61—22no—
183D4×D61—22no—
184D4×D61—41no—
185D4×D61—41no—
186D4×D61—41no—
187D4×D61—41no—
188#11758222—22no—
189#11758222—22no—
190#11758222—42no—
191#11758222—42no—
192C2×D244—21no—
193C2×D244C22×C411yescharacteristic
194C2×C4×D61—22no—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—21no—
199C2×C4×D61—22no—
200C2×C4×D61—24no—
201C2×C4×D61—21no—
202C2×C4×D61—21no—
203C2×C4×D61—42no—
204C2×C4×D61—42no—
205C2×C4×D61C22⋊C414yes—
206C2×C4×D61C22⋊C414yes—
207C2×C4×D61C22×C411yescharacteristic
208C2×C4×D61C22×C411yescharacteristic
209C2×C4×D61C2×D412yes—
210C2×C4×D61C2×D412yes—
211C2×C4×D61C2×D411yescharacteristic
212C2×C4×D61C2×D411yescharacteristic
213C2×C4×D61#4112yes—
214C2×C4×D61#4112yes—
215C2×Dic122—22no—
216C2×Dic122—22no—
217C2×Dic122—24no—
218C2×Dic122—24no—
219C2×Dic122—21no—
220C2×Dic122C22⋊C414yes—
221C2×Dic122C22⋊C414yes—
222C2×Dic122C22×C411yescharacteristic
223C2×Dic122C22×C412yes—
224C2×Dic122C2×D412yes—
225M16×C61—22no—
226M16×C61—22no—
227C2×C8×C61—22no—
228C4⋊C4×C61—24no—
229C4⋊C4×C61—24no—
230C4⋊C4×C61—22no—
231C4⋊C4×C61—21no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—24no—
235C42×C61—24no—
236C42×C61C22×C412yes—
237C42×C61C2×D414yes—
238C22⋊Dic61—22no—
239C22⋊Dic61—21no—
240C22⋊Dic61—24no—
241#11758198—22no—
242#11758198—24no—
243#11758198—24no—
244#11758198—24no—
245C4⋊Dic61—24no—
246C4⋊Dic61—22no—
247C4⋊Dic61—21no—
248C4⋊Dic61—24no—
249#11758196—28no—
250#11758196—24no—
251#11758196—22no—
252#11758196—24no—
253#11758196—24no—
254C4×Dic61—28no—
255C4×Dic61—24no—
256C4×Dic61—22no—
257C4×Dic61—24no—
258C4×Dic61C22×C412yes—
259C4×Dic61C2×D414yes—
260#11758194—22no—
261#11758194—22no—
262C2×#92418—22no—
263#11758189—42no—
264#11758189—42no—
265C8×D61—42no—
266C8×D61—42no—
267C23×C61—21no—
268C23×C61C22×D411yescharacteristic
269C22×D61—21no—
270C22×D61—42no—
271C22×D61—44no—
272C22×D61—41no—
273C22×D61—41no—
274C22×D61C2×C22⋊C411yescharacteristic
275C22×D61C2×C22⋊C411yescharacteristic
276C22×D61#12011yescharacteristic
277C22×D61#12011yescharacteristic
278C22×D61#12311yescharacteristic
279C22×D61#12311yescharacteristic
280Q8×C61—24no—
281Q8×C61—24no—
282Q8×C61—22no—
283D4×C61—22no—
284D4×C61—41no—
285D4×C61—41no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—21no—
290C2×C4×C61—24no—
291C2×C4×C61—42no—
292C2×C4×C61C2×C22⋊C414yes—
293C2×C4×C61C23×C411yescharacteristic
294C2×C4×C61C22×D412yes—
295C2×C4×C61C22×D411yescharacteristic
296C2×C4×C61C2×#4112yes—
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—41no—
300C22⋊D61—41no—
301C22⋊D61—42no—
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—21no—
306C2×Dic61—24no—
307C2×Dic61—42no—
308C2×Dic61C2×C22⋊C414yes—
309C2×Dic61C2×C22⋊C411yescharacteristic
310C2×Dic61C2×C22⋊C411yescharacteristic
311C2×Dic61#12012yes—
312C2×Dic61#12312yes—
313D244—22no—
314D244—41no—
315D244—41no—
316C4×D61—24no—
317C4×D61—24no—
318C4×D61—24no—
319C4×D61—24no—
320C4×D61—48no—
321C4×D61—44no—
322C4×D61—41no—
323C4×D61—41no—
324C4×D61—42no—
325C4×D61—42no—
326C4×D61C4×D412yes—
327C4×D61C4×D412yes—
328C4×D61C4×D412yes—
329C4×D61C4×D412yes—
330C4×D61#12112yes—
331C4×D61#12112yes—
332C4×D61#12112yes—
333C4×D61#12112yes—
334Dic122—24no—
335Dic122—24no—
336Dic122—28no—
337Dic122—28no—
338Dic122—22no—
339Dic122—42no—
340C8×C61—42no—
341#92418—42no—
342C2×#1912—611nomaximal, Sylow
343C22×C61—41no—
344C22×C61—42no—
345C22×C61—41no—
346C22×C61C22×C22⋊C411yescharacteristic
347C22×C61C2×#12011yescharacteristic
348C22×C61C2×#12311yescharacteristic
349C2×D61—22no—
350C2×D61—22no—
351C2×D61—22no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—41no—
355C2×D61—42no—
356C2×D61—41no—
357C2×D61—82no—
358C2×D61—82no—
359C2×D61#38611yescharacteristic
360C2×D61#38611yescharacteristic
361C2×D61#38611yescharacteristic
362C2×D61#38611yescharacteristic
363C4×C61—24no—
364C4×C61—44no—
365C4×C61—42no—
366C4×C61—41no—
367C4×C61C2×C4×D412yes—
368C4×C61C2×#12112yes—
369Dic61—24no—
370Dic61—44no—
371Dic61—42no—
372Dic61—41no—
373Dic61#38612yes—
374Dic61#38612yes—
375C2×#536—611no—
376C2×#519—611no—
377C2×#421—612no—
378C22×#101—611no—
379#1912—612no—
380#1912—611no—
381#1912—612no—
382#1912—611no—
383#1912—611no—
384#1912D6111yescharacteristic, direct product factor
385C2×H(3,ℤ/4)—612no—
386C2×C61—21no—
387C2×C61—21no—
388C2×C61—21no—
389C2×C61—81no—
390C2×C61C2×#38611yescharacteristic
391D61—21no—
392D61—21no—
393D61—21no—
394D61—81no—
395D61#191212yesdirect product factor
396C22×#41—611no—
397C23×Q8—611no—
398C22×M16—612no—
399#536—611no—
400#536—611no—
401#536—612no—
402#536—612no—
403#536—611no—
404#536—1222no—
405#536—1222no—
406#536C2×D6111yescharacteristic
407C2×C4⋊Q8—612no—
408C2×#124—612no—
409C2×#123—1222no—
410C2×C22⋊Q8—1222no—
411#519—611no—
412#519—612no—
413#519—1222no—
414#519—1224no—
415#519C2×D6111yescharacteristic, complemented
416C2×C4×Q8—1224no—
417C2×#117—612no—
418C2×#117—611no—
419C2×#117—1222no—
420#421—612no—
421#421—612no—
422#421—612no—
423#421—1224no—
424#421C2×D6112yes—
425C2×#104—1224no—
426C2×#101—611no—
427C2×#101—612no—
428C2×#101—1222no—
429C2×#101—1222no—
430C2×#101C2×D6111yescharacteristic, complemented
431H(3,ℤ/4)—612no—
432H(3,ℤ/4)—612no—
433H(3,ℤ/4)—612no—
434H(3,ℤ/4)C2×D6112yescomplemented
435C61C2×#191211yescharacteristic, complemented, Sylow
436C2×#41—611no—
437C2×#41—611no—
438C2×#41—611no—
439C2×#41—1221no—
440C2×#41—1221no—
441C2×#41—1222no—
442C2×#41—1222no—
443C2×#41—1222no—
444C2×#41—1222no—
445C2×#41C22×D6111yescharacteristic
446C22×Q8—612no—
447C22×Q8—612no—
448C22×Q8—612no—
449C22×Q8—612no—
450C22×Q8—612no—
451C22×Q8—611no—
452C22×Q8—611no—
453C22×Q8—1222no—
454C22×Q8—1222no—
455C22×Q8—1222no—
456C22×Q8—1222no—
457C22×Q8C22×D6111yescharacteristic
458C22×D4—611no—
459C22×D4—1221no—
460C23×C4—611no—
461C23×C4—612no—
462C23×C4—1221no—
463C2×M16—612no—
464C2×M16—1222no—
465C2×M16—1222no—
466C2×M16—1222no—
467C2×M16—1222no—
468C2×M16—1222no—
469C2×M16C22×D6112yes—
470C22×C8—1222no—
471C4⋊Q8—612no—
472C4⋊Q8—612no—
473C4⋊Q8—612no—
474C4⋊Q8—1224no—
475C4⋊Q8C4×D6112yescomplemented
476#124—612no—
477#124—612no—
478#124—612no—
479#124—1224no—
480#124C4×D6112yescomplemented
481#123—22no—
482#123—1224no—
483#123—1222no—
484#123—1224no—
485#123—1222no—
486#123—1222no—
487C22⋊Q8—22no—
488C22⋊Q8—1224no—
489C22⋊Q8—1224no—
490C22⋊Q8—1222no—
491C22⋊Q8—1222no—
492C22⋊Q8—1222no—
493C4×Q8—24no—
494C4×Q8—1228no—
495C4×Q8—1224no—
496C4×Q8—1224no—
497C4×Q8—1228no—
498C4×Q8—1224no—
499#117—22no—
500#117—612no—
501#117—611no—
502#117—612no—
503#117—614no—
504#117—1224no—
505#117—1222no—
506#117—1221no—
507#117—1224no—
508#117—1222no—
509#117—1221no—
510#117—1224no—
511#117—1222no—
512#117C22×D6111yescharacteristic
513#117C22×D6112yes—
514C2×C4⋊C4—1222no—
515C2×C4⋊C4—1221no—
516C2×C4⋊C4—1224no—
517C2×C4⋊C4—1224no—
518C2×C22⋊C4—1224no—
519C2×C22⋊C4—1222no—
520C2×C22⋊C4—1221no—
521C2×C42—612no—
522C2×C42—614no—
523C2×C42—1224no—
524#104—24no—
525#104—1224no—
526#104—1224no—
527#104—1224no—
528#101—22no—
529#101—1224no—
530#101—1222no—
531C24—611no—
532C24—1221no—
533#41—22no—
534#41—22no—
535#41—1222no—
536#41—1222no—
537#41—1222no—
538#41—1222no—
539#41—1222no—
540#41—1222no—
541#41—2442no—
542#41—2442no—
543#41—2442no—
544#41—2442no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—612no—
548C2×Q8—612no—
549C2×Q8—614no—
550C2×Q8—614no—
551C2×Q8—611no—
552C2×Q8—1224no—
553C2×Q8—1224no—
554C2×Q8—1221no—
555C2×Q8—1224no—
556C2×Q8—1224no—
557C2×Q8—1224no—
558C2×Q8—1224no—
559C2×Q8—1224no—
560C2×Q8—1224no—
561C2×Q8—1224no—
562C2×Q8—1224no—
563C2×Q8—1222no—
564C2×Q8—1222no—
565C2×Q8—1222no—
566C2×Q8—1222no—
567C2×Q8C2×C4×D6111yescharacteristic
568C2×Q8C2×C4×D6112yes—
569C2×Q8D4×D6112yes—
570C2×D4—21no—
571C2×D4—611no—
572C2×D4—1221no—
573C2×D4—1222no—
574C2×D4—1222no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—2441no—
579C2×D4—2441no—
580C2×D4—2441no—
581C2×D4—2441no—
582C2×D4C2×C4×D6111yescharacteristic
583C22×C4—21no—
584C22×C4—611no—
585C22×C4—611no—
586C22×C4—611no—
587C22×C4—612no—
588C22×C4—611no—
589C22×C4—612no—
590C22×C4—611no—
591C22×C4—612no—
592C22×C4—612no—
593C22×C4—612no—
594C22×C4—614no—
595C22×C4—614no—
596C22×C4—1221no—
597C22×C4—1222no—
598C22×C4—1222no—
599C22×C4—1222no—
600C22×C4—1222no—
601C22×C4—1224no—
602C22×C4—1222no—
603C22×C4—1221no—
604C22×C4—1221no—
605C22×C4—1221no—
606C22×C4—2442no—
607C22×C4—2442no—
608C22×C4D4×D6112yes—
609C22×C4C23×D6111yescharacteristic
610M16—22no—
611M16—22no—
612M16—1222no—
613M16—1222no—
614M16—2442no—
615M16—2442no—
616C2×C8—22no—
617C2×C8—1222no—
618C2×C8—2442no—
619C2×C8—2442no—
620C4⋊C4—24no—
621C4⋊C4—22no—
622C4⋊C4—21no—
623C4⋊C4—24no—
624C4⋊C4—1224no—
625C4⋊C4—1222no—
626C4⋊C4—1224no—
627C4⋊C4—1224no—
628C4⋊C4—1228no—
629C4⋊C4—1224no—
630C4⋊C4—1222no—
631C4⋊C4—1221no—
632C4⋊C4—1224no—
633C22⋊C4—22no—
634C22⋊C4—21no—
635C22⋊C4—24no—
636C22⋊C4—1224no—
637C22⋊C4—1224no—
638C22⋊C4—1222no—
639C22⋊C4—1224no—
640C22⋊C4—1222no—
641C22⋊C4—1221no—
642C22⋊C4—1224no—
643C42—24no—
644C42—612no—
645C42—614no—
646C42—1224no—
647C42—1222no—
648C42—1224no—
649C42—1228no—
650C42C2×C4×D6112yes—
651C42D4×D6114yes—
652C23—21no—
653C23—611no—
654C23—611no—
655C23—611no—
656C23—611no—
657C23—611no—
658C23—611no—
659C23—1221no—
660C23—2441no—
661C23—2441no—
662C23—2442no—
663C23—2444no—
664C23C2×D4×D6111yescharacteristic
665Q8—24no—
666Q8—24no—
667Q8—22no—
668Q8—1228no—
669Q8—1228no—
670Q8—1224no—
671Q8—1224no—
672Q8—1222no—
673Q8—2442no—
674D4—22no—
675D4—41no—
676D4—41no—
677D4—1222no—
678D4—2441no—
679D4—2441no—
680D4—2442no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—24no—
690C2×C4—42no—
691C2×C4—611no—
692C2×C4—611no—
693C2×C4—612no—
694C2×C4—612no—
695C2×C4—612no—
696C2×C4—612no—
697C2×C4—612no—
698C2×C4—612no—
699C2×C4—612no—
700C2×C4—612no—
701C2×C4—612no—
702C2×C4—612no—
703C2×C4—614no—
704C2×C4—1224no—
705C2×C4—1224no—
706C2×C4—1224no—
707C2×C4—1224no—
708C2×C4—1222no—
709C2×C4—1222no—
710C2×C4—1222no—
711C2×C4—1221no—
712C2×C4—1224no—
713C2×C4—2442no—
714C2×C4—2441no—
715C2×C4—2441no—
716C2×C4—2448no—
717C2×C4—2444no—
718C2×C4—2442no—
719C2×C4—2442no—
720C2×C4C22⋊C4×D6114yes—
721C2×C4C22×C4×D6111yescharacteristic
722C2×C4C2×D4×D6112yes—
723C2×C4C2×D4×D6111yescharacteristic
724C2×C4#41×D6112yes—
725C8—42no—
726C8—2442no—
727C22—41no—
728C22—42no—
729C22—41no—
730C22—611no—
731C22—611no—
732C22—611no—
733C22—611no—
734C22—1222no—
735C22—1222no—
736C22—1222no—
737C22—4882no—
738C22—4882no—
739C22—2441no—
740C22—2441no—
741C22—2441no—
742C22—2442no—
743C22—2441no—
744C22C2×C22⋊C4×D6111yescharacteristic
745C22#120×D6111yescharacteristic
746C22#123×D6111yescharacteristic
747C4—24no—
748C4—44no—
749C4—42no—
750C4—41no—
751C4—612no—
752C4—612no—
753C4—1224no—
754C4—2444no—
755C4—2442no—
756C4—2441no—
757C4C4×D4×D6112yes—
758C4#121×D6112yes—
759C2—21no—
760C2—21no—
761C2—21no—
762C2—81no—
763C2—612no—
764C2—1221no—
765C2—1221no—
766C2—1221no—
767C2—4881no—
768C2#386×D6111yescharacteristic
subgroupG/H
centerC2#386×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1912C2
socleC2×C61C2×#386
prime radicalC2×#41×D61C22
cosocleC22×C4×C61C24
hypercenter#1912D61
hypocenterC61C2×#1912
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C22×C4 ◁ #1912

Complements

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

NH ≅ G/Ntype
2. #519×D61C2semidirect
4. C2×#101×D61C2semidirect
5. #21446357C2semidirect
6. #21446356C2semidirect
7. #21446355C2semidirect
8. #21446354C2semidirect
9. #21446353C2semidirect
10. H(3,ℤ/4)×D61C2semidirect
11. C61×#1912C2semidirect
16. #16840337C4semidirect
21. #16840332C4semidirect
22. C4⋊Q8×D61C4semidirect
23. #124×D61C4semidirect
26. #16840240C22semidirect
28. #16840239C22semidirect
39. C2×#14519696C22semidirect
40. C2×#14519695C22semidirect
43. #16839519C22semidirect
44. #16839518C22semidirect
45. #16839518C22semidirect
47. C61×#519C22semidirect
49. C2×#101×C61C22semidirect
50. C61×H(3,ℤ/4)C22semidirect
83. #14519777C2×C4semidirect
85. #14519775C2×C4semidirect
86. #14519775C2×C4semidirect
87. #14519766C2×C4semidirect
88. #14519765C2×C4semidirect
89. #14519764C2×C4semidirect
136. C4⋊Q8×C61C2×C4semidirect
137. #124×C61C2×C4semidirect
384. #1912D61direct (N × H)
395. D61#1912direct (N × H)
415. #519C2×D61semidirect
430. C2×#101C2×D61semidirect
434. H(3,ℤ/4)C2×D61semidirect
435. C61C2×#1912semidirect
475. C4⋊Q8C4×D61semidirect
480. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
#536×D612
#519×D612
#421×D612
C2×#101×D612
#214463572
#214463562
#214463552
#214463542
#214463532
H(3,ℤ/4)×D612
C61×#19122
C2×#191261