Finite Group Databasebeta

← #29724293

Subgroups — #29724293

Order 15616.

896 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455806C211yesmaximal, characteristic, complemented
2#21455123C211yesmaximal, characteristic
3#21454692C211yesmaximal, characteristic, complemented
4#21447342C211yesmaximal, characteristic, complemented
5#21447262C211yesmaximal, characteristic, complemented
6#21447112C211yesmaximal, characteristic, complemented
7#21447046C211yesmaximal, characteristic, complemented
8#21446484C211yesmaximal, characteristic, complemented
9#21446469C211yesmaximal, characteristic, complemented
10#21446192C211yesmaximal, characteristic, complemented
11#21446146C211yesmaximal, characteristic, complemented
12#21446052C211yesmaximal, characteristic, complemented
13#21445878C211yesmaximal, characteristic, complemented
14#21445773C211yesmaximal, characteristic, complemented
15C61×#2897C211yesmaximal, characteristic, complemented
16C2×#14519803C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18#16840340C2211yescharacteristic
19#16840242C2211yescharacteristic, complemented
20#16840101—21no—
21#16840091—21no—
22#16840085—21no—
23#16840079—21no—
24#16839924—21no—
25#16839913—21no—
26#16839907—21no—
27#16839896—21no—
28#16839862—21no—
29#16839860—21no—
30C4×#11758202—21no—
31C4×#11758199—21no—
32C2×#14519713C2211yescharacteristic, complemented
33#16839805C2211yescharacteristic, complemented
34C2×#14519710C2211yescharacteristic, complemented
35C2×#14519709C2211yescharacteristic, complemented
36C2×#14519704C2211yescharacteristic
37C2×#14519704C2211yescharacteristic
38C2×#14519703C2211yescharacteristic, complemented
39#16839763C2211yescharacteristic
40#16839763C2211yescharacteristic
41#16839763C2211yescharacteristic
42#16839761C2211yescharacteristic, complemented
43C2×#14519698C2211yescharacteristic
44C2×#14519694C2211yescharacteristic
45#16839729C2211yescharacteristic
46#16839728C2211yescharacteristic, complemented
47#16839718C2211yescharacteristic, complemented
48#16839665C2211yescharacteristic
49#16839627C2211yescharacteristic, complemented
50#16839531C2211yescharacteristic, complemented
51#16839530C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839526C2211yescharacteristic, complemented
54#16839521C2211yescharacteristic, complemented
55#16839516C2211yescharacteristic, complemented
56C2×H(5,𝔽2)×C61C2211yescharacteristic
57C2×#131×C61C2211yescharacteristic
58C61×#520C2211yescharacteristic
59C61×#418—21no—
60C61×#418C2211yescharacteristic
61C61×#417—21no—
62C61×#417C2211yescharacteristic
63C61×#416—21no—
64C61×#416C2211yescharacteristic
65C2×#102×C61—21no—
66C2×#102×C61C2211yescharacteristic
67C2×#11758222C2311yescharacteristic
68#14519803—22no—
69#14519803—41no—
70#14519797—22no—
71#14519797—22no—
72C2×#11758202D411yescharacteristic
73C2×#11758200—21no—
74C2×#11758200D411yescharacteristic
75C2×#11758201D411yescharacteristic
76C2×#11758199—21no—
77C2×#11758199D411yescharacteristic
78C2×#11758194C2311yescharacteristic
79C2×#11758194C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82#14519756—21no—
83#14519753—21no—
84#14519751—21no—
85#14519749—41no—
86#14519748—21no—
87C4×Dic122—21no—
88C4×D244—21no—
89#14519737—41no—
90#14519735—21no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C4⋊C4×D61—21no—
94C2×C22⋊Dic61—41no—
95C2×C4×Dic61C2311yescharacteristic
96#14519713—41no—
97#14519710—21no—
98#14519710—21no—
99#14519710—21no—
100#14519709—21no—
101#14519709—21no—
102#14519708—21no—
103#14519704—22no—
104#14519704—41no—
105#14519703—41no—
106#14519701—21no—
107#14519701—21no—
108#14519701—21no—
109#14519700—21no—
110#14519698—21no—
111#14519698—21no—
112#14519698—21no—
113#14519698—21no—
114#14519698—21no—
115#14519697—21no—
116#14519694—22no—
117C22⋊#92418—21no—
118C22⋊#92418—21no—
119#14519689—21no—
120#14519689—21no—
121#14519688—21no—
122C4×#92418—21no—
123#14519684—41no—
124H(5,𝔽2)×C61—22no—
125H(5,𝔽2)×C61—22no—
126H(5,𝔽2)×C61—22no—
127H(5,𝔽2)×C61—41no—
128C2×#41×C61—21no—
129C2×#41×C61—21no—
130C2×#41×C61C2311yescharacteristic
131C2×#41×C61C2311yescharacteristic
132C22×D4×C61—21no—
133C22×D4×C61—21no—
134C22×D4×C61—41no—
135C22×D4×C61C2311yescharacteristic
136#131×C61—22no—
137#131×C61—41no—
138C2×M16×C61—21no—
139C2×M16×C61C2311yescharacteristic
140C22×C8×C61—21no—
141C22×C8×C61C2311yescharacteristic
142C4×Q8×C61—21no—
143C4×D4×C61—21no—
144C4×D4×C61—41no—
145#117×C61—21no—
146#117×C61C2311yescharacteristic
147C2×C4⋊C4×C61—21no—
148C2×C4⋊C4×C61C2311yescharacteristic
149#103×C61—21no—
150#103×C61D411yescharacteristic
151#103×C61D411yescharacteristic
152#102×C61—21no—
153#102×C61—21no—
154#102×C61—21no—
155#102×C61—21no—
156#102×C61—21no—
157#102×C61D411yescharacteristic
158#102×C61D411yescharacteristic
159C24×C61—21no—
160C24×C61—41no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—24no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—42no—
169#41×C61—42no—
170#41×C61—42no—
171#41×C61#4112yes—
172#41×C61#4112yes—
173C2×Q8×C61C2×D411yescharacteristic
174C2×Q8×C61C2×D411yescharacteristic
175C2×D4×C61—21no—
176C2×D4×C61—24no—
177C2×D4×C61—21no—
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—42no—
184C2×D4×C61—41no—
185C2×D4×C61—41no—
186C2×D4×C61—42no—
187C2×D4×C61—44no—
188C2×D4×C61—44no—
189C2×D4×C61—42no—
190C2×D4×C61C2×D411yescharacteristic
191C2×D4×C61C2×D411yescharacteristic
192C2×D4×C61#4112yes—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61—21no—
196C22×C4×C61—41no—
197C22×C4×C61—41no—
198C22×C4×C61C2411yescharacteristic
199C2×C22⋊D61—21no—
200C2×C22⋊D61—41no—
201C22×Dic61—21no—
202C22×Dic61—21no—
203C22×Dic61—21no—
204#11758222—21no—
205#11758222—21no—
206#11758222—21no—
207#11758222—21no—
208C2×D244C2×D411yescharacteristic
209C2×C4×D61—21no—
210C2×C4×D61—41no—
211C2×Dic122C2×D411yescharacteristic
212M16×C61—21no—
213M16×C61—21no—
214M16×C61—42no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—21no—
218C2×C8×C61—42no—
219C2×C8×C61C2×D411yescharacteristic
220C2×C8×C61C2×D411yescharacteristic
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—41no—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C22⋊C4×C61—21no—
227C22⋊C4×C61—41no—
228C42×C61—21no—
229C42×C61—41no—
230C22⋊Dic61—41no—
231C22⋊Dic61—82no—
232#11758202—22no—
233#11758201—22no—
234#11758200—22no—
235#11758200—42no—
236#11758199—22no—
237#11758199—42no—
238#11758198—41no—
239#11758198—41no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242C4⋊Dic61—21no—
243C4⋊Dic61—21no—
244#11758196—41no—
245#11758196—41no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—41no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418C2×D411yescharacteristic
261C2×#92418C2×D411yescharacteristic
262C23×C61—21no—
263C23×C61—21no—
264C23×C61—22no—
265C23×C61—44no—
266C23×C61—41no—
267C23×C61—41no—
268C23×C61—81no—
269C23×C61—81no—
270C23×C61—161no—
271C23×C61—161no—
272C23×C61H(5,𝔽2)11yescharacteristic
273C22×D61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61#12312yes—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—21no—
281D4×C61—22no—
282D4×C61—21no—
283D4×C61—22no—
284D4×C61—21no—
285D4×C61—44no—
286D4×C61—44no—
287D4×C61—41no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61#12312yes—
292C2×C4×C61—21no—
293C2×C4×C61—22no—
294C2×C4×C61—22no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—44no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—81no—
303C2×C4×C61—161no—
304C2×C4×C61C22×D411yescharacteristic
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C2×#4111yescharacteristic
307C2×C4×C61C2×#4111yescharacteristic
308C2×C4×C61C2×#4111yescharacteristic
309C2×C4×C61H(5,𝔽2)11yescharacteristic
310C22⋊D61—41no—
311C22⋊D61—41no—
312C22⋊D61—161no—
313C2×Dic61—21no—
314C2×Dic61—41no—
315C2×Dic61—41no—
316C2×Dic61—41no—
317C2×Dic61—41no—
318C2×Dic61—41no—
319C2×Dic61—81no—
320C2×Dic61—81no—
321D244—21no—
322D244—21no—
323C4×D61—41no—
324C4×D61—41no—
325C4×D61—161no—
326Dic122—21no—
327Dic122—21no—
328C8×C61—21no—
329C8×C61—21no—
330C8×C61—41no—
331#92418—21no—
332#92418—21no—
333#92418—41no—
334#92418—41no—
335#92418—41no—
336#24929—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—22no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—82no—
347C22×C61—81no—
348C22×C61—81no—
349C22×C61—161no—
350C22×C61—164no—
351C22×C61#53811yescharacteristic
352C22×C61D4211yescharacteristic
353C22×C61#55111yescharacteristic
354C2×D61—41no—
355C2×D61—41no—
356C2×D61—41no—
357C4×C61—22no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—81no—
362C4×C61C2×#12311yescharacteristic
363C4×C61#52511yescharacteristic
364C4×C61#54611yescharacteristic
365C4×C61#54611yescharacteristic
366Dic61—41no—
367Dic61—81no—
368Dic61—81no—
369Dic61—81no—
370#3099—611no—
371#3012—611no—
372#2951—611no—
373#2897D6111yescharacteristic, complemented
374#2092—611no—
375#2078—611no—
376#2051—611no—
377#2040—611no—
378#1931—611no—
379#1929—611no—
380#1883—611no—
381#1876—611no—
382#1860—611no—
383#1815—611no—
384#1792—611no—
385C2×C61—21no—
386C2×C61—21no—
387C2×C61—42no—
388C2×C61—81no—
389C2×C61—82no—
390C2×C61#241811yescharacteristic
391C2×C61#328811yescharacteristic
392C2×C61#329011yescharacteristic
393D61—81no—
394C2×H(5,𝔽2)C2×D6111yescharacteristic
395C2×AGL(1,ℤ/8)—611no—
396C2×#135—611no—
397C2×#131C2×D6111yescharacteristic
398#537—611no—
399#520—611no—
400#520C2×D6111yescharacteristic
401#485—1221no—
402#483—1221no—
403#482—1221no—
404#481—1221no—
405#452—1221no—
406#450—1221no—
407#449—1221no—
408#447—1221no—
409#440—1221no—
410#440—1221no—
411C4×Q16—1221no—
412C4×D8—1221no—
413C2×#108—611no—
414#428—611no—
415C2×#107—611no—
416C2×#106—611no—
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
420#418—21no—
421#418C2×D6111yescharacteristic
422#417—21no—
423#417—611no—
424#417—611no—
425#417—611no—
426#417—611no—
427#417C2×D6111yescharacteristic
428#416—21no—
429#416C2×D6111yescharacteristic
430C2×#102—21no—
431C2×#102—611no—
432C2×#102C2×D6111yescharacteristic
433C2×#100—611no—
434#408—611no—
435#408—611no—
436#405—611no—
437#390—611no—
438#382—611no—
439#343—611no—
440#343—611no—
441#343—611no—
442#341—611no—
443#339—611no—
444#336—611no—
445C61#2492911yescharacteristic, complemented, Sylow
446H(5,𝔽2)—22no—
447H(5,𝔽2)—22no—
448H(5,𝔽2)—22no—
449H(5,𝔽2)—41no—
450C2×#41—21no—
451C2×#41—21no—
452C2×#41—611no—
453C2×#41C22×D6111yescharacteristic
454C2×#41C22×D6111yescharacteristic
455C22×D4—21no—
456C22×D4—21no—
457C22×D4—41no—
458C22×D4C22×D6111yescharacteristic
459AGL(1,ℤ/8)—1222no—
460AGL(1,ℤ/8)—2441no—
461#135—1222no—
462#135—1222no—
463C2×Q16—611no—
464C2×SD16—611no—
465C2×SD16—611no—
466C2×SD16—1221no—
467C2×D8—611no—
468C2×D8—1221no—
469#131—22no—
470#131—41no—
471C2×M16—21no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—611no—
475C2×M16C22×D6111yescharacteristic
476C22×C8—21no—
477C22×C8—611no—
478C22×C8C22×D6111yescharacteristic
479C22⋊Q8—1221no—
480C22⋊Q8—1221no—
481#121—1221no—
482#121—1221no—
483#121—2441no—
484C4×Q8—21no—
485C4×Q8—1221no—
486C4×D4—21no—
487C4×D4—41no—
488C4×D4—1221no—
489C4×D4—2441no—
490#117—21no—
491#117—1221no—
492#117C22×D6111yescharacteristic
493C2×C4⋊C4—21no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—611no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4C22×D6111yescharacteristic
498C2×C22⋊C4—2441no—
499C2×C42—611no—
500#108—2441no—
501#107—1221no—
502#107—1221no—
503#107—1221no—
504#106—1221no—
505#106—1221no—
506#106—1221no—
507#104—1222no—
508#104—2441no—
509#104—2441no—
510#103—21no—
511#103—1221no—
512#103—1221no—
513#103—1221no—
514#103—1221no—
515#103C22⋊D6111yescharacteristic
516#103C22⋊D6111yescharacteristic
517#102—21no—
518#102—21no—
519#102—21no—
520#102—21no—
521#102—21no—
522#102—1221no—
523#102—1221no—
524#102—1221no—
525#102—1221no—
526#102—1221no—
527#102—1221no—
528#102C22⋊D6111yescharacteristic
529#102C22⋊D6111yescharacteristic
530#100—1222no—
531C22⋊C8—1221no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535#97—1221no—
536C4×C8—1221no—
537#95—2441no—
538C24—21no—
539C24—41no—
540#41—21no—
541#41—21no—
542#41—24no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—42no—
548#41—42no—
549#41—42no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41#1175822212yes—
555#41#1175822412yes—
556C2×Q8—611no—
557C2×Q8D4×D6111yescharacteristic
558C2×Q8C2×C22⋊D6111yescharacteristic
559C2×D4—21no—
560C2×D4—24no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—42no—
568C2×D4—41no—
569C2×D4—41no—
570C2×D4—42no—
571C2×D4—44no—
572C2×D4—44no—
573C2×D4—42no—
574C2×D4—611no—
575C2×D4—1221no—
576C2×D4—2441no—
577C2×D4#1175822212yes—
578C2×D4D4×D6111yescharacteristic
579C2×D4C2×C22⋊D6111yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—41no—
584C22×C4—41no—
585C22×C4—1221no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—2441no—
590C22×C4C23×D6111yescharacteristic
591Q16—1222no—
592SD16—1222no—
593SD16—1222no—
594SD16—2442no—
595D8—1222no—
596D8—2442no—
597M16—21no—
598M16—21no—
599M16—42no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—1221no—
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×C8C2×C22⋊D6111yescharacteristic
618C2×C8C2×C22⋊D6111yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—41no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—2441no—
627C4⋊C4—2441no—
628C4⋊C4C2×C22⋊D6111yescharacteristic
629C4⋊C4C2×C22⋊D6111yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—41no—
632C22⋊C4—4882no—
633C22⋊C4—2441no—
634C22⋊C4—2441no—
635C22⋊C4—2441no—
636C42—21no—
637C42—41no—
638C42—1221no—
639C42—1221no—
640C42—2441no—
641C23—21no—
642C23—21no—
643C23—22no—
644C23—44no—
645C23—41no—
646C23—41no—
647C23—81no—
648C23—81no—
649C23—161no—
650C23—161no—
651C23—1221no—
652C23#1451982211yescharacteristic
653Q8—21no—
654Q8—21no—
655Q8—21no—
656Q8—1221no—
657Q8—1221no—
658Q8#1451975912yes—
659D4—22no—
660D4—22no—
661D4—22no—
662D4—21no—
663D4—21no—
664D4—22no—
665D4—21no—
666D4—44no—
667D4—44no—
668D4—41no—
669D4—41no—
670D4—41no—
671D4—41no—
672D4—1221no—
673D4—1221no—
674D4—9761no—
675D4—2441no—
676D4—2441no—
677D4#1451975912yes—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—161no—
690C2×C4—1221no—
691C2×C4—9761no—
692C2×C4—4881no—
693C2×C4—4881no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4C2×D4×D6111yescharacteristic
702C2×C4C22×C22⋊D6111yescharacteristic
703C2×C4C2×#1175822411yescharacteristic
704C2×C4C2×#1175822211yescharacteristic
705C2×C4C2×#1175822211yescharacteristic
706C2×C4#1451982211yescharacteristic
707C8—21no—
708C8—21no—
709C8—41no—
710C8—1221no—
711C8—1221no—
712C8—2441no—
713C8—2441no—
714C8—2441no—
715C22—21no—
716C22—21no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—42no—
722C22—41no—
723C22—41no—
724C22—82no—
725C22—81no—
726C22—81no—
727C22—161no—
728C22—164no—
729C22—2441no—
730C22—2441no—
731C22—2441no—
732C22#1684035011yescharacteristic
733C22D4×C22⋊D6111yescharacteristic
734C22#1684043811yescharacteristic
735C4—22no—
736C4—41no—
737C4—41no—
738C4—41no—
739C4—81no—
740C4—4881no—
741C4—4881no—
742C4—4881no—
743C4—2441no—
744C4C2×#1451975911yescharacteristic
745C4#1684027311yescharacteristic
746C4#1684040211yescharacteristic
747C4#1684040611yescharacteristic
748C2—21no—
749C2—21no—
750C2—42no—
751C2—81no—
752C2—82no—
753C2—4881no—
754C2#2144928111yescharacteristic
755C2#2145758311yescharacteristic
756C2#2145759911yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2897C2
socleC22×C61D42
prime radical#21455123C2
hypercenter#2897D61
hypocenterC61#24929
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
1. #21455806C2semidirect
3. #21454692C2semidirect
4. #21447342C2semidirect
5. #21447262C2semidirect
6. #21447112C2semidirect
7. #21447046C2semidirect
8. #21446484C2semidirect
9. #21446469C2semidirect
10. #21446192C2semidirect
11. #21446146C2semidirect
12. #21446052C2semidirect
13. #21445878C2semidirect
14. #21445773C2semidirect
15. C61×#2897C2semidirect
19. #16840242C22semidirect
32. C2×#14519713C22semidirect
33. #16839805C22semidirect
34. C2×#14519710C22semidirect
35. C2×#14519709C22semidirect
38. C2×#14519703C22semidirect
42. #16839761C22semidirect
46. #16839728C22semidirect
47. #16839718C22semidirect
49. #16839627C22semidirect
50. #16839531C22semidirect
51. #16839530C22semidirect
52. #16839530C22semidirect
53. #16839526C22semidirect
54. #16839521C22semidirect
55. #16839516C22semidirect
373. #2897D61semidirect
445. C61#24929semidirect

Maximal subgroups

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

subgroupindex
#214558062
#214551232
#214546922
#214473422
#214472622
#214471122
#214470462
#214464842
#214464692
#214461922
#214461462
#214460522
#214458782
#214457732
C61×#28972
#2492961