Finite Group Databasebeta

← #29700851

Subgroups — #29700851

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×#16839935C211yesmaximal, characteristic
2#21454654C211yesmaximal, characteristic, complemented
3#21454647C211yesmaximal, characteristic, complemented
4#21454352C211yesmaximal, characteristic, complemented
5#21446627C211yesmaximal, characteristic, complemented
6#21446477C211yesmaximal, characteristic, complemented
7#21446471C211yesmaximal, characteristic, complemented
8#21446327C211yesmaximal, characteristic, complemented
9#21446325C211yesmaximal, characteristic, complemented
10#21446204C211yesmaximal, characteristic, complemented
11#21446052C211yesmaximal, characteristic, complemented
12#21446050C211yesmaximal, characteristic, complemented
13#21445659C211yesmaximal, characteristic, complemented
14#21445654C211yesmaximal, characteristic, complemented
15C61×#2898C211yesmaximal, characteristic, complemented
16C2×#14519802C2211yescharacteristic
17C2×#14519802C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519766C2211yescharacteristic
20#16840245C2211yescharacteristic
21#16840236C2211yescharacteristic
22#16839935C418yescomplemented
23#16839872—21no—
24#16839871—21no—
25#16839865—21no—
26#16839860—21no—
27C4×#11758201—21no—
28#16839847—21no—
29C4×#11758199—21no—
30#16839842—21no—
31#16839805C2211yescharacteristic
32#16839802C2211yescharacteristic
33C2×#14519704C2211yescharacteristic
34C2×#14519704C2211yescharacteristic
35#16839771—21no—
36#16839771C2211yescharacteristic
37#16839763—21no—
38#16839763C2211yescharacteristic
39#16839758—21no—
40#16839758C2211yescharacteristic
41C2×#14519701—21no—
42C2×#14519701C2211yescharacteristic
43C2×#14519699C2211yescharacteristic
44C2×#14519697C2211yescharacteristic
45C2×#14519696C2211yescharacteristic
46C2×#14519693C2211yescharacteristic
47#16839718C2211yescharacteristic
48#16839717C2211yescharacteristic
49C2×C8×Dic61C2211yescharacteristic
50#16839627C2211yescharacteristic
51#16839531C2211yescharacteristic
52#16839530C2211yescharacteristic
53#16839527C2211yescharacteristic
54#16839526C2211yescharacteristic
55#16839523C2211yescharacteristic
56#16839521C2211yescharacteristic
57C2×2−1+4×C61C2211yescharacteristic
58C2×#131×C61C2211yescharacteristic
59C61×#520C2211yescharacteristic
60C61×#419—21no—
61C61×#419C2211yescharacteristic
62C61×#417—21no—
63C61×#417C2211yescharacteristic
64C61×#416—21no—
65C61×#416C2211yescharacteristic
66C2×#103×C61—21no—
67C2×#103×C61C2211yescharacteristic
68C22×D244C2311yescharacteristic
69#14519802—22no—
70#14519802—22no—
71#14519802C2×C414yescomplemented
72#14519802C2×C414yescomplemented
73C2×#11758201—21no—
74C2×#11758201—21no—
75C2×#11758199—21no—
76C2×#11758199—21no—
77#14519784—22no—
78#14519784—41no—
79C2×#11758194—21no—
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C22×#92418—21no—
84C22×#92418C2311yescharacteristic
85#14519766—41no—
86#14519766C2×C414yescomplemented
87Q8×Dic61—21no—
88C4×D244—21no—
89C4×D244—21no—
90D4×Dic61—21no—
91D4×Dic61—41no—
92#14519739—21no—
93#14519739—21no—
94#14519736—21no—
95#14519736C2311yescharacteristic
96C2×C4⋊Dic61—21no—
97C2×C4⋊Dic61C2311yescharacteristic
98C2×#11758198—41no—
99C22⋊C4×D61—41no—
100C2×C4×Dic61C2311yescharacteristic
101#14519710—21no—
102#14519710—21no—
103#14519708—21no—
104#14519708—21no—
105#14519704C2×C414yescomplemented
106#14519704C2×C414yescomplemented
107#14519701—21no—
108#14519701—21no—
109#14519701—21no—
110#14519701—21no—
111#14519701—21no—
112#14519701D411yescharacteristic
113#14519701D411yescharacteristic
114#14519699—21no—
115#14519699—21no—
116#14519698—21no—
117#14519698D411yescharacteristic
118#14519698D411yescharacteristic
119#14519697—21no—
120#14519697—21no—
121#14519696C2×C414yescomplemented
122#14519693—41no—
123#14519688—21no—
124#14519687—21no—
125C4×#92418—21no—
126C8×Dic61—21no—
127C8×Dic61—41no—
128#14519684—41no—
1292−1+4×C61—22no—
1302−1+4×C61—22no—
1312−1+4×C61—41no—
1322−1+4×C61C2×C414yescomplemented
133C2×#41×C61—21no—
134C2×#41×C61—21no—
135C2×#41×C61—41no—
136C2×#41×C61C2311yescharacteristic
137C2×#41×C61C2311yescharacteristic
138C22×Q8×C61—21no—
139C22×Q8×C61—21no—
140C22×Q8×C61C2311yescharacteristic
141#131×C61—22no—
142#131×C61—41no—
143C2×M16×C61—21no—
144C2×M16×C61C2311yescharacteristic
145C22×C8×C61—21no—
146C22×C8×C61C2311yescharacteristic
147C4×Q8×C61—21no—
148C4×D4×C61—21no—
149C4×D4×C61—41no—
150#117×C61—21no—
151#117×C61C2311yescharacteristic
152C2×C4⋊C4×C61—21no—
153C2×C4⋊C4×C61C2311yescharacteristic
154#103×C61—21no—
155#103×C61—21no—
156#103×C61—21no—
157#103×C61—21no—
158#103×C61—21no—
159#103×C61D411yescharacteristic
160#103×C61D411yescharacteristic
161#102×C61—21no—
162#102×C61D411yescharacteristic
163#102×C61D411yescharacteristic
164C23×D61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—21no—
169#41×C61—24no—
170#41×C61—24no—
171#41×C61—44no—
172#41×C61—42no—
173#41×C61—42no—
174#41×C61—44no—
175#41×C61C22×C412yes—
176#41×C61C22×C412yes—
177#41×C61#4112yes—
178#41×C61#4112yes—
179C2×Q8×C61—21no—
180C2×Q8×C61—24no—
181C2×Q8×C61—24no—
182C2×Q8×C61—21no—
183C2×Q8×C61—21no—
184C2×Q8×C61—21no—
185C2×Q8×C61—21no—
186C2×Q8×C61—41no—
187C2×Q8×C61—42no—
188C2×Q8×C61—42no—
189C2×Q8×C61C22×C412yes—
190C2×Q8×C61C2×D411yescharacteristic
191C2×Q8×C61C2×D411yescharacteristic
192C2×D4×C61—21no—
193C2×D4×C61—21no—
194C2×D4×C61—41no—
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D411yescharacteristic
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—41no—
202C22×C4×C61—41no—
203C22×C4×C61—41no—
204C22×C4×C61C2411yescharacteristic
205C22×Dic61—21no—
206C22×Dic61—21no—
207C22×Dic61—41no—
208C2×D244—21no—
209C2×D244—21no—
210C2×D244—21no—
211C2×D244—21no—
212C2×D244—21no—
213C2×D244C22×C412yes—
214C2×C4×D61—41no—
215C2×C4×D61—41no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61—42no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—42no—
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
230C22⋊C4×C61—21no—
231C22⋊C4×C61—41no—
232C42×C61—21no—
233C42×C61—41no—
234C22⋊Dic61—21no—
235C22⋊Dic61—41no—
236#11758201—24no—
237#11758201—24no—
238#11758199—24no—
239#11758199—24no—
240#11758198—44no—
241#11758198—41no—
242#11758198—41no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—41no—
246C4⋊Dic61C2×D411yescharacteristic
247C4⋊Dic61C2×D411yescharacteristic
248C4×Dic61—21no—
249C4×Dic61—21no—
250C4×Dic61—41no—
251C4×Dic61C22×C412yes—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—42no—
257#11758194C22×C412yes—
258#11758194C22×C412yes—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—42no—
265C2×#92418C2×D411yescharacteristic
266C2×#92418C2×D411yescharacteristic
267C23×C61—21no—
268C23×C61—21no—
269C23×C61H(5,𝔽2)11yescharacteristic
270C22×D61—22no—
271C22×D61—41no—
272C22×D61—41no—
273C22×D61—81no—
274C22×D61—81no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—22no—
278Q8×C61—22no—
279Q8×C61—44no—
280Q8×C61—41no—
281Q8×C61—41no—
282Q8×C61C4×D412yes—
283Q8×C61C4×D412yes—
284D4×C61—22no—
285D4×C61—22no—
286D4×C61—22no—
287D4×C61—22no—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—44no—
291D4×C61C4×D412yes—
292D4×C61C4×D412yes—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—22no—
296C2×C4×C61—22no—
297C2×C4×C61—22no—
298C2×C4×C61—22no—
299C2×C4×C61—22no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—44no—
303C2×C4×C61—44no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—81no—
308C2×C4×C61—161no—
309C2×C4×C61C23×C411yescharacteristic
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C2×#4111yescharacteristic
313C2×C4×C61C2×#4111yescharacteristic
314C2×C4×C61H(5,𝔽2)11yescharacteristic
315C2×Dic61—22no—
316C2×Dic61—21no—
317C2×Dic61—21no—
318C2×Dic61—41no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—81no—
322C2×Dic61—161no—
323D244—22no—
324D244—22no—
325D244—41no—
326D244—41no—
327C4×D61—161no—
328C4×D61—161no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61—41no—
332#92418—22no—
333#92418—22no—
334#92418—21no—
335#92418—21no—
336#92418—41no—
337#22895—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—22no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61#51811yescharacteristic
347C22×C61D4211yescharacteristic
348C22×C61#55111yescharacteristic
349C2×D61—42no—
350C2×D61—81no—
351C2×D61—81no—
352C2×D61—82no—
353C2×D61—161no—
354C4×C61—22no—
355C4×C61—22no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—81no—
360C4×C61C2×C4×D411yescharacteristic
361C4×C61C2×C4×D411yescharacteristic
362C4×C61#54611yescharacteristic
363C4×C61#54611yescharacteristic
364Dic61—42no—
365Dic61—41no—
366Dic61—41no—
367Dic61—81no—
368C2×#454—611no—
369#2946—611no—
370#2946—611no—
371#2898—611no—
372#2898D6111yescharacteristic, complemented
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—42no—
387C2×C61#235811yescharacteristic
388C2×C61#329011yescharacteristic
389C2×C61#329011yescharacteristic
390D61—82no—
391C2×2−1+4C2×D6111yescharacteristic
392C2×AGL(1,ℤ/8)—611no—
393C2×AGL(1,ℤ/8)—611no—
394C2×#131—611no—
395C2×#131C2×D6111yescharacteristic
396C2×#124—611no—
397#520—611no—
398#520C2×D6111yescharacteristic
399#518—611no—
400#454—618no—
401#442—1221no—
402#442—1221no—
403#440—1221no—
404#440—1221no—
405C4×SD16—1221no—
406C4×SD16—1221no—
407C4×D8—1221no—
408C4×D8—1221no—
409#428—611no—
410#428—611no—
411C2×#104—611no—
412C2×#104—611no—
413#419—21no—
414#419—611no—
415#419—1221no—
416#419C2×D6111yescharacteristic
417#417—21no—
418#417—611no—
419#417—1221no—
420#417C2×D6111yescharacteristic
421#416—21no—
422#416—611no—
423#416—1221no—
424#416C2×D6111yescharacteristic
425C2×#103—21no—
426C2×#103—611no—
427C2×#103—1221no—
428C2×#103C2×D6111yescharacteristic
429C2×#102—611no—
430C2×#102—611no—
431C2×#101—611no—
432C2×#100—611no—
433#405—611no—
434#405—611no—
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—22no—
4452−1+4—22no—
4462−1+4—41no—
4472−1+4C4×D6114yescomplemented
448C2×#41—21no—
449C2×#41—21no—
450C2×#41—41no—
451C2×#41C22×D6111yescharacteristic
452C2×#41C22×D6111yescharacteristic
453C22×Q8—21no—
454C22×Q8—21no—
455C22×Q8C22×D6111yescharacteristic
456C22×D4—611no—
457AGL(1,ℤ/8)—614no—
458AGL(1,ℤ/8)—614no—
459AGL(1,ℤ/8)—1222no—
460AGL(1,ℤ/8)—1222no—
461C2×SD16—1221no—
462C2×SD16—1221no—
463C2×D8—1221no—
464C2×D8—1221no—
465#131—22no—
466#131—41no—
467#131—1222no—
468#131—2441no—
469C2×M16—21no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C22×C8—21no—
476C22×C8—611no—
477C22×C8—1221no—
478C22×C8C22×D6111yescharacteristic
479#124—614no—
480#124—2441no—
481C4×Q8—21no—
482C4×Q8—1221no—
483C4×D4—21no—
484C4×D4—41no—
485C4×D4—1221no—
486C4×D4—1221no—
487C4×D4—1221no—
488C4×D4—1221no—
489C4×D4—1221no—
490C4×D4—2441no—
491#117—21no—
492#117—611no—
493#117—1221no—
494#117C22×D6111yescharacteristic
495C2×C4⋊C4—21no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4C22×D6111yescharacteristic
499C2×C22⋊C4—2441no—
500C2×C22⋊C4—2441no—
501C2×C42—611no—
502#107—1221no—
503#107—1221no—
504#106—1221no—
505#106—1221no—
506#104—614no—
507#104—614no—
508#103—21no—
509#103—21no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—611no—
514#103—611no—
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—611no—
524#102—611no—
525#102—1221no—
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—1221no—
535#97—1221no—
536C4×C8—1221no—
537C4×C8—1221no—
538C4×C8—2441no—
539#95—2441no—
540C24—1221no—
541#41—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—24no—
546#41—24no—
547#41—44no—
548#41—42no—
549#41—42no—
550#41—44no—
551#41C2×C4×D6112yes—
552#41C2×C4×D6112yes—
553#41#1175822212yes—
554#41#1175822412yes—
555C2×Q8—21no—
556C2×Q8—24no—
557C2×Q8—24no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—41no—
563C2×Q8—42no—
564C2×Q8—42no—
565C2×Q8C2×C4×D6112yes—
566C2×Q8D4×D6111yescharacteristic
567C2×Q8C2×C22⋊D6111yescharacteristic
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—41no—
571C2×D4—612no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4D4×D6111yescharacteristic
578C2×D4C2×C22⋊D6111yescharacteristic
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—41no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—2441no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592SD16—1224no—
593SD16—1224no—
594D8—1224no—
595D8—1224no—
596M16—21no—
597M16—21no—
598M16—42no—
599M16—612no—
600M16—612no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—2442no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—42no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—2442no—
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—611no—
624C4⋊C4—611no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C4⋊C4—2441no—
628C4⋊C4C2×C22⋊D6111yescharacteristic
629C4⋊C4C2×C22⋊D6111yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—41no—
632C22⋊C4—1221no—
633C22⋊C4—2444no—
634C22⋊C4—2441no—
635C22⋊C4—2441no—
636C22⋊C4—2441no—
637C42—21no—
638C42—41no—
639C42—612no—
640C42—1221no—
641C42—1221no—
642C42—2441no—
643C23—21no—
644C23—21no—
645C23—1222no—
646C23—4881no—
647C23—4881no—
648C23—2441no—
649C23—2441no—
650C23#1451982211yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—22no—
654Q8—22no—
655Q8—44no—
656Q8—41no—
657Q8—41no—
658Q8#1451973712yes—
659Q8C4×C22⋊D6112yes—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—21no—
665D4—21no—
666D4—44no—
667D4—1222no—
668D4—1222no—
669D4—2441no—
670D4—2441no—
671D4#1451973712yes—
672D4C4×C22⋊D6112yes—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—81no—
688C2×C4—161no—
689C2×C4—1222no—
690C2×C4—1221no—
691C2×C4—1221no—
692C2×C4—9761no—
693C2×C4—9761no—
694C2×C4—9761no—
695C2×C4—4881no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4C22×C4×D6111yescharacteristic
700C2×C4C2×D4×D6111yescharacteristic
701C2×C4C22×C22⋊D6111yescharacteristic
702C2×C4C2×#1175822411yescharacteristic
703C2×C4C2×#1175822211yescharacteristic
704C2×C4#1451982211yescharacteristic
705C8—21no—
706C8—21no—
707C8—41no—
708C8—1222no—
709C8—1222no—
710C8—1221no—
711C8—1221no—
712C8—2441no—
713C22—21no—
714C22—21no—
715C22—22no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—9761no—
722C22—4882no—
723C22—4881no—
724C22—4881no—
725C22—2442no—
726C22#1684023511yescharacteristic
727C22D4×C22⋊D6111yescharacteristic
728C22#1684043811yescharacteristic
729C4—22no—
730C4—22no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—4881no—
736C4—2442no—
737C4—2441no—
738C4—2441no—
739C4C2×#1451973711yescharacteristic
740C4C2×C4×C22⋊D6111yescharacteristic
741C4#1684040211yescharacteristic
742C4#1684040611yescharacteristic
743C2—21no—
744C2—21no—
745C2—42no—
746C2—42no—
747C2—4882no—
748C2#2144879811yescharacteristic
749C2#2145759911yescharacteristic
750C2#2145760511yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2898C2
socleC22×C61D42
prime radicalC2×#16839935C2
cosocleC22×C4×C61C24
hypercenter#2898D61
hypocenterC61#22895
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2898

Complements

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

NH ≅ G/Ntype
2. #21454654C2semidirect
3. #21454647C2semidirect
4. #21454352C2semidirect
5. #21446627C2semidirect
6. #21446477C2semidirect
7. #21446471C2semidirect
8. #21446327C2semidirect
9. #21446325C2semidirect
10. #21446204C2semidirect
11. #21446052C2semidirect
12. #21446050C2semidirect
13. #21445659C2semidirect
14. #21445654C2semidirect
15. C61×#2898C2semidirect
22. #16839935C4semidirect
71. #14519802C2×C4semidirect
72. #14519802C2×C4semidirect
86. #14519766C2×C4semidirect
105. #14519704C2×C4semidirect
106. #14519704C2×C4semidirect
121. #14519696C2×C4semidirect
132. 2−1+4×C61C2×C4semidirect
372. #2898D61semidirect
443. C61#22895semidirect
447. 2−1+4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399352
#214546542
#214546472
#214543522
#214466272
#214464772
#214464712
#214463272
#214463252
#214462042
#214460522
#214460502
#214456592
#214456542
C61×#28982
#2289561