Finite Group Databasebeta

← #29700887

Subgroups — #29700887

Order 15616.

1016 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455168C211yesmaximal, characteristic
2#21454726C211yesmaximal, characteristic, complemented
3#21454725C211yesmaximal, characteristic, complemented
4#21454366C211yesmaximal, characteristic, complemented
5#21446645C211yesmaximal, characteristic, complemented
6#21446491C211yesmaximal, characteristic, complemented
7#21446485C211yesmaximal, characteristic, complemented
8#21446320C211yesmaximal, characteristic, complemented
9#21446318C211yesmaximal, characteristic, complemented
10#21446199C211yesmaximal, characteristic, complemented
11#21446059C211yesmaximal, characteristic, complemented
12#21446057C211yesmaximal, characteristic, complemented
13#104×Dic61C211yesmaximal, characteristic, complemented
14C4×#14519704C211yesmaximal, characteristic, complemented
15C61×#2901C211yesmaximal, characteristic, complemented
16#16840560C2211yescharacteristic
17#16840560C2211yescharacteristic
18#16840529C2211yescharacteristic
19#16840528C2211yescharacteristic, complemented
20#16840308C2211yescharacteristic
21#41×Dic61C2211yescharacteristic
22#16839945C412yescomplemented
23#16839940C412yescomplemented
24#16839935C412yescomplemented
25#16839930C412yescomplemented
26#16839882—22no—
27#16839881—22no—
28#16839877—22no—
29#16839876—22no—
30#16839810C2211yescharacteristic, complemented
31#16839810C2211yescharacteristic, complemented
32#16839785C2211yescharacteristic, complemented
33#16839779—22no—
34#16839779C2211yescharacteristic
35#16839779C2211yescharacteristic
36C2×#14519705C2211yescharacteristic, complemented
37C2×#14519704—22no—
38C2×#14519704C2211yescharacteristic
39C2×#14519704C2211yescharacteristic
40C2×#14519704C2211yescharacteristic
41C2×#14519704C2211yescharacteristic
42C2×#14519703C2211yescharacteristic, complemented
43#16839746C2211yescharacteristic
44#16839735C2211yescharacteristic, complemented
45C4×#11758194C2211yescharacteristic, complemented
46M16×Dic61C2211yescharacteristic, complemented
47C42×Dic61C2211yescharacteristic, complemented
48#16839533C2211yescharacteristic, complemented
49#16839532C2211yescharacteristic, complemented
50#16839523C2211yescharacteristic, complemented
51#16839522C2211yescharacteristic, complemented
52#16839521C2211yescharacteristic, complemented
53#16839521C2211yescharacteristic, complemented
54C61×#585C2211yescharacteristic
55C61×#568C2211yescharacteristic
56C4×#41×C61C2211yescharacteristic
57C61×#421—22no—
58C61×#421C2211yescharacteristic
59C61×#421C2211yescharacteristic
60C2×#104×C61—22no—
61C2×#104×C61C2211yescharacteristic
62C2×#104×C61C2211yescharacteristic
63C2×#11758222C2311yescharacteristic
64#14519808—21no—
65#14519808—21no—
66#14519807C2×C412yescomplemented
67#14519807C2×C412yescomplemented
68#14519803—21no—
69#14519803—21no—
70#14519802C2×C412yescomplemented
71#14519802C2×C412yescomplemented
72#14519797—22no—
73#14519797—22no—
74#14519785—22no—
75#14519784—22no—
76#14519784—41no—
77#14519783—22no—
78C2×#11758194—22no—
79C2×#11758194C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83M16×D61—41no—
84#14519775C2×C411yescharacteristic, complemented
85#14519773C2×C411yescharacteristic, complemented
86#14519766C2×C411yescharacteristic, complemented
87#14519764C2×C411yescharacteristic, complemented
88#14519749—41no—
89Q8×Dic61—21no—
90D4×Dic61—21no—
91D4×Dic61—41no—
92C4×C22⋊D61—41no—
93#14519736—21no—
94#14519736C2311yescharacteristic
95C2×C4×Dic61—21no—
96C2×C4×Dic61—41no—
97C2×C4×Dic61C2311yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99#14519712—22no—
100#14519712—22no—
101#14519706—41no—
102#14519705—21no—
103#14519705—21no—
104#14519704—22no—
105#14519704—21no—
106#14519704—21no—
107#14519704—22no—
108#14519704C2×C412yescomplemented
109#14519704C2×C412yescomplemented
110#14519704C2×C412yescomplemented
111#14519704C2×C412yescomplemented
112#14519704D412yescomplemented
113#14519704D412yescomplemented
114#14519703—21no—
115#14519703—21no—
116#14519696C2×C412yescomplemented
117#14519694C2×C412yescomplemented
118#14519691—41no—
119#14519688—21no—
120#14519687—21no—
121C4×#92418—21no—
122C8×Dic61—21no—
1232−1+4×C61—21no—
1242−1+4×C61—21no—
1252−1+4×C61C2×C412yes—
126H(5,𝔽2)×C61—21no—
127H(5,𝔽2)×C61—21no—
128H(5,𝔽2)×C61—41no—
129H(5,𝔽2)×C61C2×C412yes—
130C2×#41×C61—22no—
131C2×#41×C61—22no—
132C2×#41×C61—41no—
133C2×#41×C61C2311yescharacteristic
134C2×#41×C61C2311yescharacteristic
135C2×#41×C61C2311yescharacteristic
136#131×C61—22no—
137#131×C61—41no—
138C2×M16×C61—22no—
139C2×M16×C61C2311yescharacteristic
140C2×M16×C61C2311yescharacteristic
141C4×Q8×C61—21no—
142C4×D4×C61—21no—
143C4×D4×C61—41no—
144#117×C61—21no—
145#117×C61C2311yescharacteristic
146C2×C42×C61—21no—
147C2×C42×C61C2311yescharacteristic
148#104×C61—22no—
149#104×C61—22no—
150#104×C61—21no—
151#104×C61—21no—
152#104×C61D412yescomplemented
153#104×C61D412yescomplemented
154#41×C61—21no—
155#41×C61—21no—
156#41×C61—21no—
157#41×C61—21no—
158#41×C61—22no—
159#41×C61—22no—
160#41×C61—22no—
161#41×C61—22no—
162#41×C61—21no—
163#41×C61—21no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—42no—
167#41×C61—42no—
168#41×C61—42no—
169#41×C61—42no—
170#41×C61—41no—
171#41×C61—41no—
172#41×C61C22×C412yes—
173#41×C61C22×C412yes—
174#41×C61C2×D412yes—
175#41×C61C2×D412yes—
176C2×Q8×C61—22no—
177C2×Q8×C61—22no—
178C2×Q8×C61—41no—
179C2×Q8×C61C22×C411yescharacteristic
180C2×Q8×C61#4111yescharacteristic
181C2×Q8×C61#4111yescharacteristic
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—22no—
185C2×D4×C61—22no—
186C2×D4×C61—21no—
187C2×D4×C61—42no—
188C2×D4×C61—41no—
189C2×D4×C61—42no—
190C2×D4×C61—42no—
191C2×D4×C61C22×C411yescharacteristic
192C2×D4×C61#4111yescharacteristic
193C2×D4×C61#4111yescharacteristic
194C22×C4×C61—21no—
195C22×C4×C61—21no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—42no—
199C22×C4×C61—41no—
200C22×C4×C61C2411yescharacteristic
201C2×C22⋊D61—21no—
202C2×C22⋊D61—41no—
203C22×Dic61—21no—
204C22×Dic61—21no—
205C22×Dic61—41no—
206#11758222—21no—
207#11758222—21no—
208#11758222—21no—
209#11758222—21no—
210C2×D244C22×C411yescharacteristic
211C2×C4×D61—21no—
212C2×Dic122C22×C411yescharacteristic
213M16×C61—21no—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—42no—
217M16×C61C2×D412yes—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—42no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—41no—
223C22⋊C4×C61—21no—
224C22⋊C4×C61—41no—
225C42×C61—21no—
226C42×C61—21no—
227C42×C61—41no—
228C42×C61C2×D411yescharacteristic
229C42×C61C2×D411yescharacteristic
230C22⋊Dic61—21no—
231C22⋊Dic61—41no—
232C22⋊Dic61—41no—
233#11758202—22no—
234#11758202—22no—
235#11758201—22no—
236#11758201—22no—
237#11758200—22no—
238#11758200—22no—
239#11758199—22no—
240#11758199—22no—
241#11758198—41no—
242C4⋊Dic61—21no—
243C4⋊Dic61—41no—
244#11758196—41no—
245C4×Dic61—21no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—41no—
249C4×Dic61—44no—
250C4×Dic61C22×C411yescharacteristic
251C4×Dic61C22×C411yescharacteristic
252C4×Dic61C2×D411yescharacteristic
253C4×Dic61C2×D411yescharacteristic
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—21no—
258#11758194—21no—
259#11758194—42no—
260#11758194C22×C412yes—
261#11758194C22×C412yes—
262#11758194C2×D412yes—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—42no—
268#11758189—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61—42no—
274C23×C61H(5,𝔽2)11yescharacteristic
275C22×D61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61—21no—
280Q8×C61—42no—
281Q8×C61C4×D412yes—
282Q8×C61C4×D412yes—
283D4×C61—22no—
284D4×C61—22no—
285D4×C61—22no—
286D4×C61—22no—
287D4×C61—21no—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—42no—
292D4×C61—42no—
293D4×C61—42no—
294D4×C61—41no—
295D4×C61—41no—
296D4×C61C4×D412yes—
297D4×C61C4×D412yes—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—22no—
302C2×C4×C61—22no—
303C2×C4×C61—22no—
304C2×C4×C61—22no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—42no—
308C2×C4×C61—42no—
309C2×C4×C61—42no—
310C2×C4×C61—42no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61—82no—
315C2×C4×C61C23×C411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C2×#4111yescharacteristic
319C2×C4×C61C2×#4111yescharacteristic
320C2×C4×C61H(5,𝔽2)11yescharacteristic
321C22⋊D61—41no—
322C22⋊D61—41no—
323C22⋊D61—82no—
324C2×Dic61—21no—
325C2×Dic61—21no—
326C2×Dic61—21no—
327C2×Dic61—21no—
328C2×Dic61—21no—
329C2×Dic61—42no—
330C2×Dic61—42no—
331C2×Dic61—41no—
332C2×Dic61—82no—
333D244—21no—
334D244—21no—
335C4×D61—41no—
336C4×D61—41no—
337Dic122—21no—
338Dic122—21no—
339C8×C61—22no—
340C8×C61—41no—
341#92418—22no—
342#92418—22no—
343#92418—22no—
344#92418—41no—
345#22899—611nomaximal, Sylow
346C22×C61—22no—
347C22×C61—22no—
348C22×C61—41no—
349C22×C61—41no—
350C22×C61—81no—
351C22×C61—81no—
352C22×C61—81no—
353C22×C61—162no—
354C22×C61#51811yescharacteristic
355C22×C61#54611yescharacteristic
356C22×C61#54611yescharacteristic
357C2×D61—41no—
358C2×D61—81no—
359C4×C61—22no—
360C4×C61—22no—
361C4×C61—22no—
362C4×C61—41no—
363C4×C61—41no—
364C4×C61—81no—
365C4×C61C2×C4×D411yescharacteristic
366C4×C61C2×C4×D411yescharacteristic
367C4×C61D4211yescharacteristic
368C4×C61#55111yescharacteristic
369Dic61—22no—
370Dic61—22no—
371Dic61—41no—
372Dic61—41no—
373Dic61—41no—
374Dic61—81no—
375#3018—611no—
376#2956—611no—
377#2956—611no—
378#2901—611no—
379#2901D6111yescharacteristic, complemented
380#1962—611no—
381#1932—611no—
382#1932—611no—
383#1906—611no—
384#1906—611no—
385#1884—611no—
386#1861—611no—
387#1861—611no—
388C4×#104—611no—
389C4×#104—611no—
390C2×C61—21no—
391C2×C61—21no—
392C2×C61—21no—
393C2×C61—42no—
394C2×C61—42no—
395C2×C61—81no—
396C2×C61#235811yescharacteristic
397D61—81no—
398#585C2×D6111yescharacteristic
399#575—611no—
400#575—611no—
401#568—611no—
402#568—611no—
403#568C2×D6111yescharacteristic
404#532—611no—
405C4×#41—611no—
406C4×#41C2×D6111yescharacteristic
407#456—612no—
408#455—612no—
409#454—612no—
410#453—612no—
411#444—1222no—
412#444—1222no—
413#443—1222no—
414#443—1222no—
415#430—611no—
416#430—611no—
417#423—611no—
418#421—22no—
419#421—611no—
420#421—611no—
421#421—1222no—
422#421C2×D6111yescharacteristic
423#421C2×D6111yescharacteristic
424C2×#104—22no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104—611no—
429C2×#104—611no—
430C2×#104—611no—
431C2×#104—1222no—
432C2×#104C2×D6111yescharacteristic
433C2×#104C2×D6111yescharacteristic
434#413—611no—
435#410—611no—
436C4×M16—611no—
437C4×M16—611no—
438C43—611no—
439#344—611no—
440#344—611no—
441#339—611no—
442#339—611no—
443#339—611no—
444#339—611no—
445C61#2289911yescharacteristic, complemented, Sylow
4462−1+4—21no—
4472−1+4—21no—
4482−1+4C4×D6112yes—
449H(5,𝔽2)—21no—
450H(5,𝔽2)—21no—
451H(5,𝔽2)—41no—
452H(5,𝔽2)C4×D6112yes—
453C2×#41—22no—
454C2×#41—22no—
455C2×#41—41no—
456C2×#41—611no—
457C2×#41C22×D6111yescharacteristic
458C2×#41C22×D6111yescharacteristic
459C2×#41C22×D6111yescharacteristic
460#137—612no—
461#137—612no—
462#137—1221no—
463#137—1221no—
464AGL(1,ℤ/8)—612no—
465AGL(1,ℤ/8)—612no—
466AGL(1,ℤ/8)—1221no—
467AGL(1,ℤ/8)—1221no—
468#135—1222no—
469#135—1222no—
470#131—22no—
471#131—41no—
472#131—1222no—
473#131—1222no—
474#131—1222no—
475#131—2441no—
476C2×M16—22no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—611no—
481C2×M16—1222no—
482C2×M16—2441no—
483C2×M16C22×D6111yescharacteristic
484C2×M16C22×D6111yescharacteristic
485C4⋊Q8—611no—
486#127—611no—
487#124—611no—
488#124—611no—
489#121—2441no—
490C4×Q8—21no—
491C4×Q8—1221no—
492C4×D4—21no—
493C4×D4—41no—
494C4×D4—1221no—
495C4×D4—2441no—
496C4×D4—2441no—
497#117—21no—
498#117—611no—
499#117—1221no—
500#117C22×D6111yescharacteristic
501C2×C42—21no—
502C2×C42—611no—
503C2×C42—611no—
504C2×C42—1221no—
505C2×C42—2441no—
506C2×C42C22×D6111yescharacteristic
507#108—1222no—
508#108—1222no—
509C4⋊C8—2441no—
510#104—22no—
511#104—22no—
512#104—21no—
513#104—21no—
514#104—612no—
515#104—612no—
516#104—612no—
517#104—612no—
518#104—612no—
519#104—612no—
520#104—1221no—
521#104—1221no—
522#104—1221no—
523#104—1221no—
524#104—1222no—
525#104—1222no—
526#104—1221no—
527#104—1221no—
528#104C22⋊D6112yescomplemented
529#104C22⋊D6112yescomplemented
530#101—612no—
531#100—612no—
532#99—2441no—
533#97—1221no—
534#97—1221no—
535C4×C8—1221no—
536C4×C8—1221no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—21no—
541#41—22no—
542#41—22no—
543#41—22no—
544#41—22no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—42no—
550#41—42no—
551#41—42no—
552#41—42no—
553#41—41no—
554#41—41no—
555#41—1221no—
556#41—1221no—
557#41—1221no—
558#41—1221no—
559#41C2×C4×D6112yes—
560#41C2×C4×D6112yes—
561#41D4×D6112yes—
562#41C2×C22⋊D6112yes—
563C2×Q8—22no—
564C2×Q8—22no—
565C2×Q8—41no—
566C2×Q8—611no—
567C2×Q8C2×C4×D6111yescharacteristic
568C2×Q8#1175822211yescharacteristic
569C2×Q8#1175822411yescharacteristic
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—22no—
573C2×D4—22no—
574C2×D4—21no—
575C2×D4—42no—
576C2×D4—41no—
577C2×D4—42no—
578C2×D4—42no—
579C2×D4—611no—
580C2×D4—1221no—
581C2×D4—2441no—
582C2×D4C2×C4×D6111yescharacteristic
583C2×D4#1175822211yescharacteristic
584C2×D4#1175822411yescharacteristic
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—42no—
590C22×C4—41no—
591C22×C4—1221no—
592C22×C4—1221no—
593C22×C4—1221no—
594C22×C4—2441no—
595C22×C4C23×D6111yescharacteristic
596Q16—1222no—
597Q16—1222no—
598SD16—1222no—
599SD16—1222no—
600SD16—1222no—
601SD16—1222no—
602D8—1222no—
603D8—1222no—
604M16—21no—
605M16—21no—
606M16—21no—
607M16—42no—
608M16—612no—
609M16—612no—
610M16—612no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—1221no—
616M16—2442no—
617M16—2442no—
618M16C2×C22⋊D6112yes—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—42no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—1221no—
626C2×C8—2442no—
627C2×C8—2442no—
628C4⋊C4—21no—
629C4⋊C4—41no—
630C4⋊C4—1221no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—21no—
634C22⋊C4—41no—
635C22⋊C4—1221no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—21no—
641C42—41no—
642C42—611no—
643C42—611no—
644C42—611no—
645C42—611no—
646C42—1221no—
647C42—1221no—
648C42—1221no—
649C42—2441no—
650C42—2444no—
651C42C2×C22⋊D6111yescharacteristic
652C42C2×C22⋊D6111yescharacteristic
653C23—21no—
654C23—21no—
655C23—21no—
656C23—42no—
657C23—1221no—
658C23#1451982211yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—21no—
663Q8—42no—
664Q8—1221no—
665Q8—1221no—
666Q8#1451973712yes—
667Q8C4×C22⋊D6112yes—
668D4—22no—
669D4—22no—
670D4—22no—
671D4—22no—
672D4—21no—
673D4—21no—
674D4—21no—
675D4—21no—
676D4—42no—
677D4—42no—
678D4—42no—
679D4—41no—
680D4—41no—
681D4—1221no—
682D4—1221no—
683D4—4882no—
684D4—2441no—
685D4—2441no—
686D4#1451973712yes—
687D4C4×C22⋊D6112yes—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—82no—
705C2×C4—1221no—
706C2×C4—1221no—
707C2×C4—1221no—
708C2×C4—1221no—
709C2×C4—1221no—
710C2×C4—4882no—
711C2×C4—2442no—
712C2×C4—2442no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2441no—
716C2×C4C22×C4×D6111yescharacteristic
717C2×C4C2×D4×D6111yescharacteristic
718C2×C4C22×C22⋊D6111yescharacteristic
719C2×C4C2×#1175822411yescharacteristic
720C2×C4C2×#1175822211yescharacteristic
721C2×C4#1451982211yescharacteristic
722C8—22no—
723C8—41no—
724C8—1222no—
725C8—1222no—
726C8—1222no—
727C8—2441no—
728C22—22no—
729C22—22no—
730C22—41no—
731C22—41no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—162no—
736C22—4881no—
737C22—2441no—
738C22#1684023511yescharacteristic
739C22#1684040211yescharacteristic
740C22#1684040611yescharacteristic
741C4—22no—
742C4—22no—
743C4—22no—
744C4—41no—
745C4—41no—
746C4—81no—
747C4—1222no—
748C4—1222no—
749C4—4881no—
750C4—2441no—
751C4—2441no—
752C4—2441no—
753C4C2×#1451973711yescharacteristic
754C4C2×C4×C22⋊D6111yescharacteristic
755C4D4×C22⋊D6111yescharacteristic
756C4#1684043811yescharacteristic
757C2—21no—
758C2—21no—
759C2—21no—
760C2—42no—
761C2—42no—
762C2—81no—
763C2—4881no—
764C2#2144879811yescharacteristic
subgroupG/H
centerC4D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2901C2
socleC2×C61#2358
prime radical#21455168C2
cosocleC22×C4×C61C24
hypercenter#2901D61
hypocenterC61#22899
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2901

Complements

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

NH ≅ G/Ntype
2. #21454726C2semidirect
3. #21454725C2semidirect
4. #21454366C2semidirect
5. #21446645C2semidirect
6. #21446491C2semidirect
7. #21446485C2semidirect
8. #21446320C2semidirect
9. #21446318C2semidirect
10. #21446199C2semidirect
11. #21446059C2semidirect
12. #21446057C2semidirect
13. #104×Dic61C2semidirect
14. C4×#14519704C2semidirect
15. C61×#2901C2semidirect
19. #16840528C22semidirect
22. #16839945C4semidirect
23. #16839940C4semidirect
24. #16839935C4semidirect
25. #16839930C4semidirect
30. #16839810C22semidirect
31. #16839810C22semidirect
32. #16839785C22semidirect
36. C2×#14519705C22semidirect
42. C2×#14519703C22semidirect
44. #16839735C22semidirect
45. C4×#11758194C22semidirect
46. M16×Dic61C22semidirect
47. C42×Dic61C22semidirect
48. #16839533C22semidirect
49. #16839532C22semidirect
50. #16839523C22semidirect
51. #16839522C22semidirect
52. #16839521C22semidirect
53. #16839521C22semidirect
66. #14519807C2×C4semidirect
67. #14519807C2×C4semidirect
70. #14519802C2×C4semidirect
71. #14519802C2×C4semidirect
84. #14519775C2×C4semidirect
85. #14519773C2×C4semidirect
86. #14519766C2×C4semidirect
87. #14519764C2×C4semidirect
108. #14519704C2×C4semidirect
109. #14519704C2×C4semidirect
110. #14519704C2×C4semidirect
111. #14519704C2×C4semidirect
112. #14519704D4semidirect
113. #14519704D4semidirect
116. #14519696C2×C4semidirect
117. #14519694C2×C4semidirect
152. #104×C61D4semidirect
153. #104×C61D4semidirect
379. #2901D61semidirect
445. C61#22899semidirect
528. #104C22⋊D61semidirect
529. #104C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214551682
#214547262
#214547252
#214543662
#214466452
#214464912
#214464852
#214463202
#214463182
#214461992
#214460592
#214460572
#104×Dic612
C4×#145197042
C61×#29012
#2289961