Finite Group Databasebeta

← #29700849

Subgroups — #29700849

Order 15616.

1008 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839933C211yesmaximal, characteristic
2#21454651C211yesmaximal, characteristic, complemented
3#21454349C211yesmaximal, characteristic, complemented
4#21454348C211yesmaximal, characteristic, complemented
5#21446629C211yesmaximal, characteristic, complemented
6#21446474C211yesmaximal, characteristic, complemented
7#21446473C211yesmaximal, characteristic, complemented
8#21446330C211yesmaximal, characteristic, complemented
9#21446329C211yesmaximal, characteristic, complemented
10#21446207C211yesmaximal, characteristic, complemented
11#21446052C211yesmaximal, characteristic, complemented
12#21446049C211yesmaximal, characteristic, complemented
13#21445659C211yesmaximal, characteristic, complemented
14#21445658C211yesmaximal, characteristic, complemented
15C61×#2946C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519803C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20C2×#14519764C2211yescharacteristic
21#16840242C2211yescharacteristic
22#16839933C418yescomplemented
23#16839872—21no—
24#16839862—21no—
25C4×#11758200—21no—
26C4×#11758199—21no—
27#16839805C2211yescharacteristic
28C2×#14519704C2211yescharacteristic
29C2×#14519703C2211yescharacteristic
30#16839770—21no—
31#16839770C2211yescharacteristic
32#16839770C2211yescharacteristic
33#16839769—21no—
34#16839763C2211yescharacteristic
35#16839761—21no—
36#16839761C2211yescharacteristic
37#16839760—21no—
38#16839756—21no—
39#16839756C2211yescharacteristic
40#16839755—21no—
41C2×#14519702C2211yescharacteristic
42C2×#14519700—21no—
43C2×#14519700C2211yescharacteristic
44#103×D61—21no—
45C2×#14519698C2211yescharacteristic
46C2×#14519695C2211yescharacteristic
47C2×#14519694C2211yescharacteristic
48#16839718C2211yescharacteristic
49C2×C8×Dic61C2211yescharacteristic
50#16839627C2211yescharacteristic
51#16839531C2211yescharacteristic
52#16839530C2211yescharacteristic
53#16839527C2211yescharacteristic
54#16839526C2211yescharacteristic
55#16839521C2211yescharacteristic
56#16839521C2211yescharacteristic
57C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
58C61×#520C2211yescharacteristic
59C61×#518C2211yescharacteristic
60C61×#442—21no—
61C61×#440—21no—
62C4×SD16×C61—21no—
63C4×D8×C61—21no—
64C61×#428C2211yescharacteristic
65C61×#416C2211yescharacteristic
66C2×#102×C61C2211yescharacteristic
67C61×#405C2211yescharacteristic
68#14519824—22no—
69#14519824—22no—
70#14519824—41no—
71#14519824C2×C414yescomplemented
72C2×#11758222—21no—
73C2×#11758222C2311yescharacteristic
74C2×#11758224—21no—
75C2×#11758224—41no—
76C22×Dic122—21no—
77C22×Dic122C2311yescharacteristic
78C2×Q8×D61—21no—
79#14519803—22no—
80#14519803C2×C414yescomplemented
81C2×#11758200—21no—
82C2×#11758199—21no—
83#14519784—22no—
84#14519784—41no—
85#14519783—22no—
86#14519783—41no—
87C2×#11758194—21no—
88C2×#11758194C2311yescharacteristic
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758189—21no—
92C22×#92418—21no—
93C22×#92418C2311yescharacteristic
94C2×C8×D61—21no—
95#14519764—41no—
96#14519764C2×C414yescomplemented
97C4×Dic122—21no—
98C4×D244—21no—
99#14519737—41no—
100#14519735—21no—
101C2×C4⋊Dic61C2311yescharacteristic
102C4⋊C4×D61—21no—
103C2×C22⋊Dic61—41no—
104C2×C4×Dic61C2311yescharacteristic
105#14519710—21no—
106#14519708—21no—
107#14519704C2×C414yescomplemented
108#14519703C2×C414yescomplemented
109#14519702—21no—
110#14519702—21no—
111#14519701—21no—
112#14519700—21no—
113#14519700—21no—
114#14519700—21no—
115#14519700—21no—
116#14519700—21no—
117#14519700—21no—
118#14519700—21no—
119#14519700D411yescharacteristic
120#14519700D411yescharacteristic
121#14519698—21no—
122#14519698—21no—
123#14519698—21no—
124#14519697—21no—
125#14519697D411yescharacteristic
126#14519697D411yescharacteristic
127#14519695C2×C414yescomplemented
128#14519694—41no—
129#14519688—21no—
130C4×#92418—21no—
131C8×Dic61—41no—
132#14519684—41no—
133C2×#41×C61C2311yescharacteristic
134C22×D4×C61C2311yescharacteristic
135AGL(1,ℤ/8)×C61—22no—
136AGL(1,ℤ/8)×C61C2×C414yescomplemented
137C2×SD16×C61—21no—
138C2×D8×C61—21no—
139C2×M16×C61C2311yescharacteristic
140C22×C8×C61C2311yescharacteristic
141C4×Q8×C61—21no—
142C4×D4×C61—21no—
143C4×D4×C61—21no—
144C4×D4×C61—21no—
145C4×D4×C61—21no—
146C4×D4×C61—21no—
147C4×D4×C61—41no—
148#117×C61—21no—
149#117×C61C2311yescharacteristic
150#117×C61C2311yescharacteristic
151C2×C4⋊C4×C61—21no—
152C2×C4⋊C4×C61C2311yescharacteristic
153C2×C22⋊C4×C61—41no—
154#107×C61—21no—
155#106×C61—21no—
156#103×C61D411yescharacteristic
157#103×C61D411yescharacteristic
158#102×C61—21no—
159#102×C61—21no—
160#102×C61D411yescharacteristic
161#102×C61D411yescharacteristic
162#97×C61—21no—
163C4×C8×C61—21no—
164C24×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61C22×C412yes—
168#41×C61#4112yes—
169C2×Q8×C61C2×D411yescharacteristic
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—21no—
174C2×D4×C61—21no—
175C2×D4×C61—21no—
176C2×D4×C61C22×C412yes—
177C2×D4×C61C2×D411yescharacteristic
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—41no—
181C22×C4×C61—41no—
182C22×C4×C61—41no—
183C22×C4×C61C2411yescharacteristic
184C2×C22⋊D61—21no—
185C2×C22⋊D61—41no—
186C22×Dic61—21no—
187C22×Dic61—21no—
188C22×Dic61—21no—
189C22×Dic61—41no—
190Q8×D61—24no—
191Q8×D61—42no—
192#11758224—24no—
193#11758224—42no—
194#11758224—44no—
195#11758224—44no—
196#11758222—21no—
197#11758222—21no—
198#11758222—24no—
199#11758222—42no—
200#11758222C22×C412yes—
201#11758222#4112yes—
202C2×D244C2×D411yescharacteristic
203C2×C4×D61—21no—
204C2×C4×D61—41no—
205C2×C4×D61—41no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—24no—
211C2×Dic122—21no—
212C2×Dic122—42no—
213C2×Dic122—41no—
214C2×Dic122C22×C412yes—
215C2×Dic122C2×D411yescharacteristic
216SD16×C61—24no—
217D8×C61—24no—
218M16×C61—21no—
219M16×C61C22×C412yes—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—41no—
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—41no—
235C22⋊C4×C61—41no—
236C22⋊C4×C61—41no—
237C42×C61—21no—
238C42×C61—21no—
239C42×C61—41no—
240C22⋊Dic61—44no—
241#11758200—24no—
242#11758199—24no—
243#11758198—41no—
244C4⋊Dic61—21no—
245C4⋊Dic61—21no—
246#11758196—41no—
247C4×Dic61—21no—
248C4×Dic61—41no—
249C4×Dic61C22×C412yes—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—42no—
256#11758194C22×C412yes—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—42no—
263C2×#92418C2×D411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265#11758189—42no—
266C8×D61—42no—
267C23×C61—21no—
268C23×C61—22no—
269C23×C61—41no—
270C23×C61—41no—
271C23×C61—81no—
272C23×C61—81no—
273C23×C61H(5,𝔽2)11yescharacteristic
274C22×D61—21no—
275Q8×C61—21no—
276Q8×C61C4×D412yes—
277D4×C61—22no—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—21no—
282D4×C61—41no—
283D4×C61—41no—
284D4×C61C4×D412yes—
285C2×C4×C61—21no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—41no—
293C2×C4×C61—81no—
294C2×C4×C61—161no—
295C2×C4×C61—161no—
296C2×C4×C61—161no—
297C2×C4×C61C23×C411yescharacteristic
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C2×#4111yescharacteristic
301C2×C4×C61C2×#4111yescharacteristic
302C2×C4×C61H(5,𝔽2)11yescharacteristic
303C22⋊D61—22no—
304C22⋊D61—22no—
305C22⋊D61—44no—
306C2×Dic61—21no—
307C2×Dic61—22no—
308C2×Dic61—22no—
309C2×Dic61—44no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—81no—
316D244—21no—
317D244C4×D412yes—
318C4×D61—22no—
319C4×D61—22no—
320C4×D61—44no—
321C4×D61—161no—
322Dic122—21no—
323Dic122—22no—
324Dic122—22no—
325Dic122—44no—
326Dic122—41no—
327Dic122—41no—
328Dic122C4×D412yes—
329C8×C61—22no—
330C8×C61—21no—
331C8×C61—21no—
332#92418—22no—
333#92418—21no—
334#92418—21no—
335#92418—41no—
336#92418—41no—
337#22895—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—42no—
344C22×C61—82no—
345C22×C61—81no—
346C22×C61—81no—
347C22×C61—161no—
348C22×C61#51811yescharacteristic
349C22×C61D4211yescharacteristic
350C22×C61#55111yescharacteristic
351C2×D61—22no—
352C2×D61—41no—
353C2×D61—41no—
354C4×C61—22no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—81no—
360C4×C61C2×C4×D411yescharacteristic
361C4×C61C2×C4×D411yescharacteristic
362C4×C61#54611yescharacteristic
363C4×C61#54611yescharacteristic
364Dic61—22no—
365Dic61—42no—
366Dic61—42no—
367Dic61—81no—
368C2×#454—611no—
369#2946—611no—
370#2946D6111yescharacteristic, complemented
371#2898—611no—
372#2898—611no—
373#1958—611no—
374#1930—611no—
375#1930—611no—
376#1907—611no—
377#1907—611no—
378#1885—611no—
379#1860—611no—
380#1860—611no—
381#1764—611no—
382#1764—611no—
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—42no—
386C2×C61—82no—
387C2×C61#235811yescharacteristic
388C2×C61#329011yescharacteristic
389C2×C61#329011yescharacteristic
390D61—42no—
391C2×2−1+4—611no—
392C2×AGL(1,ℤ/8)—611no—
393C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
394C2×#131—611no—
395C2×#131—611no—
396C2×#124—611no—
397#520—611no—
398#520C2×D6111yescharacteristic
399#518C2×D6111yescharacteristic
400#454—618no—
401#442—21no—
402#442—1221no—
403#440—21no—
404#440—1221no—
405C4×SD16—21no—
406C4×SD16—1221no—
407C4×D8—21no—
408C4×D8—1221no—
409#428—611no—
410#428C2×D6111yescharacteristic
411C2×#104—611no—
412C2×#104—611no—
413#419—611no—
414#419—611no—
415#419—1221no—
416#419—1221no—
417#417—611no—
418#417—611no—
419#417—1221no—
420#417—1221no—
421#416—611no—
422#416—1221no—
423#416—1221no—
424#416C2×D6111yescharacteristic
425C2×#103—611no—
426C2×#103—611no—
427C2×#103—1221no—
428C2×#103—1221no—
429C2×#102—611no—
430C2×#102C2×D6111yescharacteristic
431C2×#101—611no—
432C2×#100—611no—
433#405—611no—
434#405C2×D6111yescharacteristic
435C2×C4×C8—611no—
436#382—611no—
437#343—611no—
438#343—611no—
439#341—611no—
440#341—611no—
441#339—611no—
442#339—611no—
443C61#2289511yescharacteristic, complemented, Sylow
4442−1+4—614no—
4452−1+4—1222no—
4462−1+4—1222no—
4472−1+4—2441no—
448C2×#41—611no—
449C2×#41—1221no—
450C2×#41—1221no—
451C2×#41—2441no—
452C2×#41C22×D6111yescharacteristic
453C22×Q8—611no—
454C22×Q8—1221no—
455C22×Q8—1221no—
456C22×D4C22×D6111yescharacteristic
457AGL(1,ℤ/8)—22no—
458AGL(1,ℤ/8)—614no—
459AGL(1,ℤ/8)—1222no—
460AGL(1,ℤ/8)C4×D6114yescomplemented
461C2×SD16—21no—
462C2×SD16—1221no—
463C2×D8—21no—
464C2×D8—1221no—
465#131—1222no—
466#131—1222no—
467#131—2441no—
468#131—2441no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C22×C8—611no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8C22×D6111yescharacteristic
479#124—614no—
480#124—2441no—
481C4×Q8—21no—
482C4×Q8—1221no—
483C4×D4—21no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4—21no—
487C4×D4—21no—
488C4×D4—41no—
489C4×D4—1221no—
490C4×D4—2441no—
491#117—21no—
492#117—1221no—
493#117C22×D6111yescharacteristic
494#117C22×D6111yescharacteristic
495C2×C4⋊C4—21no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4C22×D6111yescharacteristic
499C2×C22⋊C4—41no—
500C2×C22⋊C4—2441no—
501C2×C42—611no—
502#107—21no—
503#107—1221no—
504#106—21no—
505#106—1221no—
506#104—614no—
507#104—614no—
508#103—611no—
509#103—611no—
510#103—1221no—
511#103—1221no—
512#103—1221no—
513#103—1221no—
514#103—1221no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#103—1221no—
520#103C22⋊D6111yescharacteristic
521#103C22⋊D6111yescharacteristic
522#102—21no—
523#102—21no—
524#102—611no—
525#102—611no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102C22⋊D6111yescharacteristic
531#102C22⋊D6111yescharacteristic
532#101—614no—
533#100—2441no—
534#97—21no—
535#97—1221no—
536C4×C8—21no—
537C4×C8—1221no—
538C4×C8—2441no—
539#95—2441no—
540C24—21no—
541#41—21no—
542#41—21no—
543#41—612no—
544#41—612no—
545#41—1224no—
546#41—1221no—
547#41—1221no—
548#41—1224no—
549#41—2442no—
550#41—2444no—
551#41—2442no—
552#41—2444no—
553#41C2×C4×D6112yes—
554#41#1175822212yes—
555C2×Q8—612no—
556C2×Q8—611no—
557C2×Q8—1224no—
558C2×Q8—1221no—
559C2×Q8—1224no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8—1221no—
563C2×Q8—1221no—
564C2×Q8—2441no—
565C2×Q8—2442no—
566C2×Q8—2442no—
567C2×Q8C2×C22⋊D6111yescharacteristic
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—611no—
575C2×D4—1221no—
576C2×D4—2441no—
577C2×D4C2×C4×D6112yes—
578C2×D4C2×C22⋊D6111yescharacteristic
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4—41no—
584C22×C4—1221no—
585C22×C4—1221no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—2441no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592SD16—24no—
593SD16—1224no—
594D8—24no—
595D8—1224no—
596M16—21no—
597M16—612no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—2442no—
604M16—2442no—
605M16C2×C4×D6112yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—611no—
610C2×C8—611no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—2442no—
617C2×C8—2442no—
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—2441no—
626C4⋊C4D4×D6111yescharacteristic
627C4⋊C4D4×D6111yescharacteristic
628C4⋊C4C2×C22⋊D6111yescharacteristic
629C4⋊C4C2×C22⋊D6111yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—41no—
633C22⋊C4—41no—
634C22⋊C4—41no—
635C22⋊C4—2441no—
636C22⋊C4—2444no—
637C42—21no—
638C42—21no—
639C42—41no—
640C42—612no—
641C42—1221no—
642C42—2441no—
643C23—21no—
644C23—22no—
645C23—41no—
646C23—41no—
647C23—81no—
648C23—81no—
649C23—1221no—
650C23#1451982211yescharacteristic
651Q8—21no—
652Q8—612no—
653Q8—1221no—
654Q8—1222no—
655Q8—1222no—
656Q8—2444no—
657Q8—2441no—
658Q8—2441no—
659Q8C4×C22⋊D6112yes—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—21no—
665D4—41no—
666D4—41no—
667D4—612no—
668D4—1222no—
669D4—1222no—
670D4—1221no—
671D4—2444no—
672D4C4×C22⋊D6112yes—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—41no—
681C2×C4—81no—
682C2×C4—161no—
683C2×C4—161no—
684C2×C4—161no—
685C2×C4—1221no—
686C2×C4—1222no—
687C2×C4—1222no—
688C2×C4—1222no—
689C2×C4—1222no—
690C2×C4—9761no—
691C2×C4—4881no—
692C2×C4—2444no—
693C2×C4—2444no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4C22×C4×D6111yescharacteristic
700C2×C4C2×D4×D6111yescharacteristic
701C2×C4C22×C22⋊D6111yescharacteristic
702C2×C4#41×D6111yescharacteristic
703C2×C4C2×#1175822211yescharacteristic
704C2×C4#1451982311yescharacteristic
705C8—22no—
706C8—21no—
707C8—21no—
708C8—1222no—
709C8—1221no—
710C8—1221no—
711C8—2441no—
712C8—2441no—
713C22—21no—
714C22—21no—
715C22—22no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—82no—
720C22—81no—
721C22—81no—
722C22—161no—
723C22—1222no—
724C22—2441no—
725C22—2441no—
726C22#1684023411yescharacteristic
727C22D4×C22⋊D6111yescharacteristic
728C22#1684044111yescharacteristic
729C4—22no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—1222no—
736C4—4881no—
737C4—2442no—
738C4—2442no—
739C4C4×D4×D6111yescharacteristic
740C4C2×C4×C22⋊D6111yescharacteristic
741C4#1684040011yescharacteristic
742C4#1684040811yescharacteristic
743C2—21no—
744C2—21no—
745C2—42no—
746C2—82no—
747C2—2442no—
748C2#2144879611yescharacteristic
749C2#2145759911yescharacteristic
750C2#2145760111yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2946C2
socleC22×C61D42
prime radicalC2×#16839933C2
cosocleC22×C4×C61C24
hypercenter#2946D61
hypocenterC61#22895
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2946

Complements

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

NH ≅ G/Ntype
2. #21454651C2semidirect
3. #21454349C2semidirect
4. #21454348C2semidirect
5. #21446629C2semidirect
6. #21446474C2semidirect
7. #21446473C2semidirect
8. #21446330C2semidirect
9. #21446329C2semidirect
10. #21446207C2semidirect
11. #21446052C2semidirect
12. #21446049C2semidirect
13. #21445659C2semidirect
14. #21445658C2semidirect
15. C61×#2946C2semidirect
22. #16839933C4semidirect
71. #14519824C2×C4semidirect
80. #14519803C2×C4semidirect
96. #14519764C2×C4semidirect
107. #14519704C2×C4semidirect
108. #14519703C2×C4semidirect
127. #14519695C2×C4semidirect
136. AGL(1,ℤ/8)×C61C2×C4semidirect
370. #2946D61semidirect
443. C61#22895semidirect
460. AGL(1,ℤ/8)C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399332
#214546512
#214543492
#214543482
#214466292
#214464742
#214464732
#214463302
#214463292
#214462072
#214460522
#214460492
#214456592
#214456582
C61×#29462
#2289561