Finite Group Databasebeta

← #29724290

Subgroups — #29724290

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#21455120C211yesmaximal, characteristic
2#21454692C211yesmaximal, characteristic, complemented
3#21454341C211yesmaximal, characteristic, complemented
4#21447341C211yesmaximal, characteristic, complemented
5#21447262C211yesmaximal, characteristic, complemented
6#21447110C211yesmaximal, characteristic, complemented
7#21447045C211yesmaximal, characteristic, complemented
8#21446480C211yesmaximal, characteristic, complemented
9#21446469C211yesmaximal, characteristic, complemented
10#21446195C211yesmaximal, characteristic, complemented
11#21446149C211yesmaximal, characteristic, complemented
12#21446049C211yesmaximal, characteristic, complemented
13#21445879C211yesmaximal, characteristic, complemented
14#21445771C211yesmaximal, characteristic, complemented
15C61×#3099C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519802C2211yescharacteristic
18C2×#14519797C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20#16840242C2211yescharacteristic
21#16839922—21no—
22#16839912—21no—
23#16839905—21no—
24#16839895—21no—
25#16839862—21no—
26#16839860—21no—
27C4×#11758202—21no—
28C4×#11758199—21no—
29C2×#14519713C2211yescharacteristic, complemented
30C2×#14519710C2211yescharacteristic, complemented
31C2×#14519704C2211yescharacteristic
32C2×#14519704C2211yescharacteristic, complemented
33C2×#14519703C2211yescharacteristic
34#16839766C2211yescharacteristic
35#16839765—21no—
36#16839763C2211yescharacteristic
37#16839763C2211yescharacteristic, complemented
38#16839762—21no—
39#16839761C2211yescharacteristic
40#16839761C2211yescharacteristic
41#16839757—21no—
42C2×#14519699C2211yescharacteristic
43C2×#14519697C2211yescharacteristic
44#102×D61—21no—
45C2×#14519693C2211yescharacteristic
46#16839729C2211yescharacteristic
47#16839718C2211yescharacteristic, complemented
48#16839663C2211yescharacteristic
49#16839627C2211yescharacteristic, complemented
50#16839531C2211yescharacteristic, complemented
51#16839531C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839526C2211yescharacteristic, complemented
54#16839521C2211yescharacteristic, complemented
55#16839516C2211yescharacteristic, complemented
56C61×#537C2211yescharacteristic
57C61×#520C2211yescharacteristic, complemented
58C61×#485—21no—
59C61×#483—21no—
60C61×#482—21no—
61C61×#481—21no—
62C61×#428C2211yescharacteristic, complemented
63C2×#106×C61C2211yescharacteristic, complemented
64C61×#417C2211yescharacteristic
65C61×#416C2211yescharacteristic
66C61×#408C2211yescharacteristic, complemented
67#14519823—22no—
68#14519823—22no—
69#14519823—22no—
70#14519823—41no—
71C2×#11758226—21no—
72C2×#11758222—21no—
73C2×#11758222C2311yescharacteristic
74C22×D244—21no—
75C22×D244C2311yescharacteristic
76C2×D4×D61—21no—
77C2×D4×D61—41no—
78#14519802—22no—
79#14519802—41no—
80#14519797—22no—
81#14519797—22no—
82C2×#11758202D411yescharacteristic
83C2×#11758200D411yescharacteristic
84C2×#11758201—21no—
85C2×#11758201D411yescharacteristic
86C2×#11758199—21no—
87C2×#11758199D411yescharacteristic
88#14519783—22no—
89#14519783—41no—
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92C2×#11758194C2311yescharacteristic
93C2×#11758189—21no—
94C22×#92418C2311yescharacteristic
95C2×C8×D61—21no—
96C4×Dic122—21no—
97C4×D244—21no—
98#14519737—41no—
99#14519735—21no—
100C2×C4⋊Dic61C2311yescharacteristic
101C4⋊C4×D61—21no—
102C2×#11758198—41no—
103C2×C4×Dic61C2311yescharacteristic
104#14519713—41no—
105#14519710—21no—
106#14519710—21no—
107#14519704—41no—
108#14519704—41no—
109#14519703—22no—
110#14519701—21no—
111#14519701—21no—
112#14519700—21no—
113#14519700—21no—
114#14519699—21no—
115#14519699—21no—
116#14519698—21no—
117#14519698—21no—
118#14519697—21no—
119#14519697—21no—
120#14519697—21no—
121#14519697—21no—
122#14519697—21no—
123#14519697—21no—
124#14519693—22no—
125C22⋊#92418—21no—
126C22⋊#92418—21no—
127#14519688—21no—
128C4×#92418—21no—
129#14519684—41no—
130C2×#41×C61C2311yescharacteristic
131C2×#41×C61C2311yescharacteristic
132C2×M16×C61C2311yescharacteristic
133C22×C8×C61C2311yescharacteristic
134C22⋊Q8×C61—21no—
135C22⋊Q8×C61—21no—
136#121×C61—21no—
137#121×C61—21no—
138#121×C61—41no—
139C4×Q8×C61—21no—
140C4×D4×C61—21no—
141C4×D4×C61—41no—
142#117×C61—21no—
143#117×C61C2311yescharacteristic
144C2×C4⋊C4×C61—21no—
145C2×C4⋊C4×C61C2311yescharacteristic
146C2×C4⋊C4×C61C2311yescharacteristic
147#107×C61—21no—
148#106×C61—21no—
149#106×C61—21no—
150#106×C61—21no—
151#103×C61—21no—
152#103×C61D411yescharacteristic
153#103×C61D411yescharacteristic
154#102×C61—21no—
155#102×C61D411yescharacteristic
156#102×C61D411yescharacteristic
157C22⋊C8×C61—21no—
158C22⋊C8×C61—21no—
159C23×D61—21no—
160C23×D61—41no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—21no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—21no—
169C2×Q8×C61C2×D411yescharacteristic
170C2×Q8×C61C2×D411yescharacteristic
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—41no—
174C2×D4×C61C2×D411yescharacteristic
175C2×D4×C61C2×D411yescharacteristic
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—41no—
181C22×C4×C61C2411yescharacteristic
182C2×C22⋊D61—21no—
183C2×C22⋊D61—41no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186#11758226—24no—
187#11758226—42no—
188D4×D61—24no—
189D4×D61—42no—
190D4×D61—44no—
191D4×D61—44no—
192#11758222—21no—
193#11758222—21no—
194#11758222—42no—
195#11758222—42no—
196#11758222#4112yes—
197#11758222#4112yes—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—21no—
203C2×D244—42no—
204C2×D244—41no—
205C2×D244—42no—
206C2×D244C2×D411yescharacteristic
207C2×D244#4112yes—
208C2×C4×D61—21no—
209C2×C4×D61—41no—
210C2×C4×D61—41no—
211C2×Dic122C2×D411yescharacteristic
212M16×C61—21no—
213M16×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61C2×D411yescharacteristic
218C2×C8×C61C2×D411yescharacteristic
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—41no—
224C4⋊C4×C61—41no—
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D411yescharacteristic
227C22⋊C4×C61—21no—
228C22⋊C4×C61—41no—
229C22⋊C4×C61—41no—
230C22⋊C4×C61—41no—
231C42×C61—21no—
232C42×C61—41no—
233#11758202—22no—
234#11758201—22no—
235#11758201—42no—
236#11758200—22no—
237#11758199—22no—
238#11758199—42no—
239#11758198—41no—
240#11758198—82no—
241C4⋊Dic61—21no—
242C4⋊Dic61—21no—
243#11758196—41no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246C4×Dic61—41no—
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418C2×D411yescharacteristic
259C2×#92418C2×D411yescharacteristic
260#11758189—42no—
261C8×D61—42no—
262C23×C61—21no—
263C23×C61—21no—
264C23×C61H(5,𝔽2)11yescharacteristic
265C22×D61—21no—
266C22×D61—22no—
267C22×D61—44no—
268C22×D61—41no—
269C22×D61—41no—
270C22×D61—81no—
271C22×D61—81no—
272C22×D61—161no—
273C22×D61—161no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278D4×C61—21no—
279D4×C61—21no—
280D4×C61—21no—
281D4×C61—21no—
282D4×C61—41no—
283D4×C61—41no—
284D4×C61—41no—
285D4×C61—41no—
286D4×C61—161no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—81no—
298C2×C4×C61—81no—
299C2×C4×C61—161no—
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2×#4111yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61H(5,𝔽2)11yescharacteristic
306C22⋊D61—22no—
307C22⋊D61—22no—
308C22⋊D61—44no—
309C2×Dic61—21no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—81no—
315D244—22no—
316D244—21no—
317D244—22no—
318D244—44no—
319D244—41no—
320D244—41no—
321D244#12312yes—
322C4×D61—22no—
323C4×D61—22no—
324C4×D61—44no—
325C4×D61—161no—
326Dic122—21no—
327Dic122#12312yes—
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—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61#53811yescharacteristic
346C22×C61D4211yescharacteristic
347C22×C61#55111yescharacteristic
348C2×D61—22no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—42no—
352C2×D61—81no—
353C2×D61—81no—
354C2×D61—82no—
355C2×D61—164no—
356C2×D61—161no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—81no—
362C4×C61—81no—
363C4×C61C2×#12311yescharacteristic
364C4×C61#52511yescharacteristic
365C4×C61#54611yescharacteristic
366C4×C61#54611yescharacteristic
367Dic61—22no—
368Dic61—81no—
369Dic61—81no—
370#3099D6111yescharacteristic, complemented
371#3012—611no—
372#2951—611no—
373#2897—611no—
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—81no—
388C2×C61—81no—
389C2×C61#241811yescharacteristic
390C2×C61#328811yescharacteristic
391C2×C61#329011yescharacteristic
392D61—42no—
393D61—82no—
394C2×H(5,𝔽2)—611no—
395C2×AGL(1,ℤ/8)—611no—
396C2×#135—611no—
397C2×#131—611no—
398#537C2×D6111yescharacteristic
399#520—611no—
400#520C2×D6111yescharacteristic, complemented
401#485—21no—
402#483—21no—
403#482—21no—
404#481—21no—
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#428C2×D6111yescharacteristic, complemented
415C2×#107—611no—
416C2×#106C2×D6111yescharacteristic, complemented
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
420#418—611no—
421#418—1221no—
422#417—611no—
423#417—611no—
424#417—611no—
425#417—611no—
426#417—1221no—
427#417C2×D6111yescharacteristic
428#416—1221no—
429#416C2×D6111yescharacteristic
430C2×#102—611no—
431C2×#102—611no—
432C2×#102—1221no—
433C2×#100—611no—
434#408—611no—
435#408C2×D6111yescharacteristic, complemented
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)—1222no—
447H(5,𝔽2)—1222no—
448H(5,𝔽2)—1222no—
449H(5,𝔽2)—2441no—
450C2×#41—611no—
451C2×#41—1221no—
452C2×#41—1221no—
453C2×#41C22×D6111yescharacteristic
454C2×#41C22×D6111yescharacteristic
455C22×D4—611no—
456C22×D4—1221no—
457C22×D4—1221no—
458C22×D4—2441no—
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—1222no—
470#131—2441no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—1221no—
475C2×M16C22×D6111yescharacteristic
476C22×C8—611no—
477C22×C8—1221no—
478C22×C8C22×D6111yescharacteristic
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481#121—21no—
482#121—21no—
483#121—41no—
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—1221no—
496C2×C4⋊C4C22×D6111yescharacteristic
497C2×C4⋊C4C22×D6111yescharacteristic
498C2×C22⋊C4—2441no—
499C2×C42—611no—
500#108—2441no—
501#107—21no—
502#107—1221no—
503#107—1221no—
504#106—21no—
505#106—21no—
506#106—21no—
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—1221no—
519#102—1221no—
520#102—1221no—
521#102—1221no—
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—21no—
532C22⋊C8—21no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535#97—1221no—
536C4×C8—1221no—
537#95—2441no—
538C24—1221no—
539C24—2441no—
540#41—21no—
541#41—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—612no—
549#41—612no—
550#41—1221no—
551#41—1221no—
552#41—1224no—
553#41—2442no—
554#41—2442no—
555#41—2442no—
556C2×Q8—611no—
557C2×Q8D4×D6111yescharacteristic
558C2×Q8C2×C22⋊D6111yescharacteristic
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—611no—
563C2×D4—612no—
564C2×D4—1224no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—2441no—
572C2×D4—2442no—
573C2×D4—2442no—
574C2×D4—2442no—
575C2×D4—2441no—
576C2×D4—2444no—
577C2×D4—2444no—
578C2×D4D4×D6111yescharacteristic
579C2×D4C2×C22⋊D6111yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—1221no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—2441no—
589C22×C4—2441no—
590C22×C4C23×D6111yescharacteristic
591Q16—1222no—
592SD16—1222no—
593SD16—1222no—
594SD16—2442no—
595D8—1222no—
596D8—2442no—
597M16—21no—
598M16—21no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—2442no—
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×C8C2×C22⋊D6111yescharacteristic
618C2×C8C2×C22⋊D6111yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—41no—
624C4⋊C4—41no—
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—41no—
633C22⋊C4—41no—
634C22⋊C4—4882no—
635C22⋊C4—2441no—
636C42—21no—
637C42—41no—
638C42—1221no—
639C42—1221no—
640C42—2441no—
641C23—21no—
642C23—21no—
643C23—1221no—
644C23—1222no—
645C23—9761no—
646C23—9761no—
647C23—4881no—
648C23—4881no—
649C23—2444no—
650C23—2441no—
651C23—2441no—
652C23#1451982211yescharacteristic
653Q8—21no—
654Q8—21no—
655Q8—21no—
656Q8—21no—
657Q8—612no—
658Q8—1221no—
659D4—21no—
660D4—21no—
661D4—21no—
662D4—21no—
663D4—41no—
664D4—41no—
665D4—41no—
666D4—41no—
667D4—161no—
668D4—612no—
669D4—1222no—
670D4—1222no—
671D4—1222no—
672D4—1221no—
673D4—1222no—
674D4—2444no—
675D4—2444no—
676D4—2441no—
677D4—2441no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—161no—
691C2×C4—1221no—
692C2×C4—1222no—
693C2×C4—1222no—
694C2×C4—9761no—
695C2×C4—4881no—
696C2×C4—2444no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4C2×D4×D6111yescharacteristic
702C2×C4C22×C22⋊D6111yescharacteristic
703C2×C4#41×D6111yescharacteristic
704C2×C4#41×D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4#1451982311yescharacteristic
707C8—21no—
708C8—21no—
709C8—41no—
710C8—1221no—
711C8—1221no—
712C8—2441no—
713C8—2441no—
714C8—2441no—
715C22—21no—
716C22—21no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—1222no—
724C22—9761no—
725C22—9764no—
726C22—4882no—
727C22—4881no—
728C22—4881no—
729C22—2442no—
730C22—2441no—
731C22—2441no—
732C22#1684034811yescharacteristic
733C22D4×C22⋊D6111yescharacteristic
734C22#1684044011yescharacteristic
735C4—41no—
736C4—41no—
737C4—41no—
738C4—41no—
739C4—81no—
740C4—81no—
741C4—1222no—
742C4—4881no—
743C4—4881no—
744C4#123×D6111yescharacteristic
745C4#1684026911yescharacteristic
746C4#1684040011yescharacteristic
747C4#1684040411yescharacteristic
748C2—21no—
749C2—21no—
750C2—81no—
751C2—81no—
752C2—4882no—
753C2—2442no—
754C2#2144927811yescharacteristic
755C2#2145758111yescharacteristic
756C2#2145759911yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3099C2
socleC22×C61D42
prime radical#21455120C2
hypercenter#3099D61
hypocenterC61#24929
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #3099

Complements

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

NH ≅ G/Ntype
2. #21454692C2semidirect
3. #21454341C2semidirect
4. #21447341C2semidirect
5. #21447262C2semidirect
6. #21447110C2semidirect
7. #21447045C2semidirect
8. #21446480C2semidirect
9. #21446469C2semidirect
10. #21446195C2semidirect
11. #21446149C2semidirect
12. #21446049C2semidirect
13. #21445879C2semidirect
14. #21445771C2semidirect
15. C61×#3099C2semidirect
29. C2×#14519713C22semidirect
30. C2×#14519710C22semidirect
32. C2×#14519704C22semidirect
37. #16839763C22semidirect
47. #16839718C22semidirect
49. #16839627C22semidirect
50. #16839531C22semidirect
51. #16839531C22semidirect
52. #16839530C22semidirect
53. #16839526C22semidirect
54. #16839521C22semidirect
55. #16839516C22semidirect
57. C61×#520C22semidirect
62. C61×#428C22semidirect
63. C2×#106×C61C22semidirect
66. C61×#408C22semidirect
370. #3099D61semidirect
400. #520C2×D61semidirect
414. #428C2×D61semidirect
416. C2×#106C2×D61semidirect
435. #408C2×D61semidirect
445. C61#24929semidirect

Maximal subgroups

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

subgroupindex
#214551202
#214546922
#214543412
#214473412
#214472622
#214471102
#214470452
#214464802
#214464692
#214461952
#214461492
#214460492
#214458792
#214457712
C61×#30992
#2492961