Finite Group Databasebeta

← #29686482

Subgroups — #29686482

Order 15616.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455268C211yesmaximal, characteristic
2C2×#16839881C211yesmaximal, characteristic, complemented
3C2×#16839876C211yesmaximal, characteristic, complemented
4#21454537C211yesmaximal, characteristic, complemented
5#21454248C211yesmaximal, characteristic, complemented
6#21446594C211yesmaximal, characteristic, complemented
7#21446470C211yesmaximal, characteristic, complemented
8#21446470C211yesmaximal, characteristic, complemented
9#21446143C211yesmaximal, characteristic, complemented
10#21446143C211yesmaximal, characteristic, complemented
11#21445840C211yesmaximal, characteristic, complemented
12#21445694C211yesmaximal, characteristic, complemented
13#21445664C211yesmaximal, characteristic, complemented
14#21445657C211yesmaximal, characteristic, complemented
15C61×#1980C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519784C2211yescharacteristic
21C2×#14519784C2211yescharacteristic
22C4×#11758222C2211yescharacteristic
23#16839981C411yescharacteristic, complemented
24#16839981C411yescharacteristic, complemented
25#16839974C411yescharacteristic, complemented
26#16839974C411yescharacteristic, complemented
27#16839969C411yescharacteristic, complemented
28#16839964C411yescharacteristic, complemented
29#16839959C411yescharacteristic, complemented
30#16839954C411yescharacteristic, complemented
31#16839881—24no—
32#16839876—24no—
33#16839834—21no—
34#16839834—21no—
35#16839834—21no—
36#16839834—21no—
37C2×#14519712C2211yescharacteristic
38C2×#14519712C2211yescharacteristic
39#16839786C2211yescharacteristic
40C2×C4⋊#92418C2211yescharacteristic
41C2×#14519705C2211yescharacteristic
42C2×#14519705C2211yescharacteristic
43#16839758C2211yescharacteristic
44#16839758C2211yescharacteristic
45#16839729C2211yescharacteristic
46#16839729C2211yescharacteristic
47#16839720C2211yescharacteristic
48#16839720C2211yescharacteristic
49#16839716—21no—
50#16839716—21no—
51#16839714—21no—
52C2×#14519688C2211yescharacteristic
53C2×#14519688C2211yescharacteristic
54#97×D61—21no—
55C2×C4×#92418C2211yescharacteristic
56#16839526C2211yescharacteristic
57#16839526C2211yescharacteristic
58#16839522C2211yescharacteristic
59#16839522C2211yescharacteristic
60#16839517C2211yescharacteristic
61#16839517C2211yescharacteristic
62C61×#532C2211yescharacteristic
63C2×#104×C61C2211yescharacteristic
64C2×#104×C61C2211yescharacteristic
65C2×#104×C61C2211yescharacteristic
66C2×#104×C61C2211yescharacteristic
67C4×M16×C61C2211yescharacteristic
68C4×C4⋊C4×C61C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70#14519797—22no—
71#14519797—22no—
72#14519797—22no—
73#14519797—22no—
74C2×#11758202C2×C411yescharacteristic
75C2×#11758202C2×C411yescharacteristic
76C2×#11758200C2×C411yescharacteristic
77C2×#11758200C2×C411yescharacteristic
78C2×#11758201C2×C411yescharacteristic
79C2×#11758201C2×C411yescharacteristic
80C2×#11758199C2×C411yescharacteristic
81C2×#11758199C2×C411yescharacteristic
82#14519785—22no—
83#14519785—22no—
84#14519785—22no—
85#14519785D414yescomplemented
86#14519784—22no—
87#14519784—22no—
88#14519784—22no—
89#14519784—22no—
90C2×#11758194—21no—
91C2×#11758194—21no—
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758189—21no—
95C2×#11758189—21no—
96C22×#92418—21no—
97C22×#92418—21no—
98C22×#92418C2311yescharacteristic
99C22×#92418C2311yescharacteristic
100C22×#92418C2311yescharacteristic
101C22×#92418C2311yescharacteristic
102C2×C8×D61—21no—
103C2×C8×D61—21no—
104C4×Dic122C2×C411yescharacteristic
105C4×Dic122C2×C411yescharacteristic
106C4×D244C2×C411yescharacteristic
107C4×D244C2×C411yescharacteristic
108C4×C22⋊D61—21no—
109C4×C22⋊D61—21no—
110#14519736C2311yescharacteristic
111#14519734—21no—
112C42×D61—21no—
113#14519712—22no—
114#14519712—22no—
115C4⋊#92418—21no—
116C4⋊#92418—21no—
117C4⋊#92418C2×C411yescharacteristic
118C4⋊#92418C2×C411yescharacteristic
119C4⋊#92418C2×C411yescharacteristic
120C4⋊#92418C2×C411yescharacteristic
121#14519705—22no—
122#14519705—22no—
123#14519701C2×C411yescharacteristic
124#14519701C2×C411yescharacteristic
125#14519701C2×C411yescharacteristic
126#14519701C2×C411yescharacteristic
127#14519698C2×C411yescharacteristic
128#14519698C2×C411yescharacteristic
129#14519698C2×C411yescharacteristic
130#14519698C2×C411yescharacteristic
131C22⋊#92418—21no—
132C22⋊#92418—21no—
133C22⋊#92418—21no—
134C22⋊#92418—21no—
135#14519688—22no—
136#14519688D411yescharacteristic
137#14519688D411yescharacteristic
138#14519688D411yescharacteristic
139#14519688D411yescharacteristic
140#14519687—21no—
141#14519687—21no—
142C4×#92418—22no—
143C8×Dic61—21no—
144C8×Dic61—21no—
145C2×#41×C61C2311yescharacteristic
146C2×#41×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C4⋊Q8×C61C2×C411yescharacteristic
150#127×C61C2×C411yescharacteristic
151#124×C61C2×C411yescharacteristic
152#124×C61C2×C411yescharacteristic
153#121×C61—21no—
154#121×C61—21no—
155C4×D4×C61—21no—
156C4×D4×C61—21no—
157C2×C4⋊C4×C61—21no—
158C2×C42×C61C2311yescharacteristic
159C2×C42×C61C2311yescharacteristic
160C2×C42×C61C2311yescharacteristic
161#104×C61—22no—
162#104×C61—22no—
163#104×C61—22no—
164#104×C61—22no—
165#97×C61—21no—
166C4×C8×C61—21no—
167#95×C61—21no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173#41×C61—21no—
174#41×C61—21no—
175#41×C61—21no—
176C2×Q8×C61C22×C411yescharacteristic
177C2×Q8×C61C22×C411yescharacteristic
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61C22×C411yescharacteristic
183C2×D4×C61C22×C411yescharacteristic
184C22×C4×C61—21no—
185C22×C4×C61—21no—
186C22×C4×C61—21no—
187C22×C4×C61—21no—
188C22×C4×C61#4111yescharacteristic
189C22×C4×C61#4111yescharacteristic
190C22×C4×C61C2411yescharacteristic
191C2×C22⋊D61—21no—
192#11758222—21no—
193#11758222—21no—
194#11758222C2×D412yes—
195#11758222#4112yes—
196C2×D244C22×C411yescharacteristic
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×C4×D61—21no—
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61C2×D412yes—
204M16×C61#4112yes—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—42no—
210C22⋊C4×C61—21no—
211C22⋊C4×C61—21no—
212C22⋊C4×C61—21no—
213C22⋊C4×C61—21no—
214C42×C61—21no—
215C42×C61—21no—
216C42×C61—21no—
217C42×C61—21no—
218C42×C61C22×C411yescharacteristic
219C42×C61C22×C411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2×D411yescharacteristic
222C22⋊Dic61—21no—
223#11758202—22no—
224#11758202—22no—
225#11758201—22no—
226#11758201—22no—
227#11758200—22no—
228#11758200—22no—
229#11758199—22no—
230#11758199—22no—
231#11758198—21no—
232#11758198—21no—
233C4⋊Dic61C22×C411yescharacteristic
234C4⋊Dic61C22×C411yescharacteristic
235#11758196—21no—
236#11758196—21no—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240#11758194—21no—
241#11758194—21no—
242#11758194—21no—
243#11758194—21no—
244#11758194—42no—
245#11758194—42no—
246C2×#92418—21no—
247C2×#92418—21no—
248C2×#92418—21no—
249C2×#92418—21no—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—42no—
255C2×#92418—42no—
256C2×#92418C22×C411yescharacteristic
257C2×#92418C22×C411yescharacteristic
258C2×#92418C22×C411yescharacteristic
259C2×#92418C22×C411yescharacteristic
260C2×#92418C2×D411yescharacteristic
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D411yescharacteristic
263C2×#92418C2×D412yes—
264C2×#92418C2×D411yescharacteristic
265C2×#92418#4112yes—
266#11758189—24no—
267#11758189—24no—
268C8×D61—24no—
269C8×D61—24no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61C2×#4111yescharacteristic
273C22×D61—21no—
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—81no—
287D4×C61—81no—
288C2×C4×C61—22no—
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—41no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61C4×D411yescharacteristic
303C2×C4×C61C4×D411yescharacteristic
304C2×C4×C61C4×D411yescharacteristic
305C2×C4×C61C4×D411yescharacteristic
306C2×C4×C61C23×C411yescharacteristic
307C2×C4×C61C22×D411yescharacteristic
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C2×#4111yescharacteristic
310C2×C4×C61C2×#4111yescharacteristic
311C2×C4×C61C2×#4111yescharacteristic
312C22⋊D61—22no—
313C22⋊D61—22no—
314C2×Dic61—21no—
315C2×Dic61—21no—
316C2×Dic61—21no—
317D244—21no—
318D244C4×D412yes—
319C4×D61—22no—
320C4×D61—22no—
321C4×D61—81no—
322C4×D61—81no—
323Dic122—21no—
324Dic122C4×D412yes—
325C8×C61—22no—
326C8×C61—22no—
327#92418—21no—
328#92418—21no—
329#92418—21no—
330#92418—21no—
331#92418—21no—
332#92418—21no—
333#92418—41no—
334#92418—41no—
335#92418#12112yes—
336#92418#12112yes—
337#21519—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61C2×C4×D411yescharacteristic
347C22×C61#52911yescharacteristic
348C22×C61#53211yescharacteristic
349C2×D61—22no—
350C2×D61—41no—
351C2×D61—41no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—81no—
360C4×C61C2×C4×D411yescharacteristic
361C4×C61C4×#4111yescharacteristic
362C4×C61C2×#12111yescharacteristic
363C4×C61#52511yescharacteristic
364Dic61—22no—
365Dic61—41no—
366Dic61—41no—
367#3035—611no—
368C2×#444—611no—
369C2×#443—611no—
370#2932—611no—
371#2875—611no—
372#1980D6111yescharacteristic, complemented
373#1950—611no—
374#1929—611no—
375#1929—611no—
376#1876—611no—
377#1876—611no—
378#1806—611no—
379#1771—611no—
380#1765—611no—
381#1764—611no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—81no—
385C2×C61—81no—
386C2×C61C4×#12111yescharacteristic
387C2×C61#295611yescharacteristic
388C2×C61#295711yescharacteristic
389D61—42no—
390C2×#135—611no—
391C2×#135—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—611no—
396#532C2×D6111yescharacteristic
397C4×#41—611no—
398#464—611no—
399#464—611no—
400#463—611no—
401#463—611no—
402#462—611no—
403#461—611no—
404#460—611no—
405#459—611no—
406#444—1224no—
407#443—1224no—
408#435—1221no—
409#435—1221no—
410#435—1221no—
411#435—1221no—
412C2×#108—611no—
413C2×#108—611no—
414#423—611no—
415C2×C4⋊C8—611no—
416C2×#104—611no—
417C2×#104—611no—
418C2×#104C2×D6111yescharacteristic
419C2×#104C2×D6111yescharacteristic
420C2×#104C2×D6111yescharacteristic
421C2×#104C2×D6111yescharacteristic
422#416—611no—
423#416—611no—
424#408—611no—
425#408—611no—
426#405—611no—
427#405—611no—
428#405—1221no—
429#405—1221no—
430C4×M16—1221no—
431C4×M16C2×D6111yescharacteristic
432C2×#97—611no—
433C2×#97—611no—
434C2×#97—1221no—
435C2×C4×C8—611no—
436C4×C4⋊C4C2×D6111yescharacteristic
437#341—611no—
438#341—611no—
439#339—611no—
440#339—611no—
441#336—611no—
442#336—611no—
443C61#2151911yescharacteristic, complemented, Sylow
444C2×#41—611no—
445C2×#41C22×D6111yescharacteristic
446C2×#41C22×D6111yescharacteristic
447#135—1222no—
448#135—1222no—
449#135—1222no—
450#135—1222no—
451C2×Q16—611no—
452C2×Q16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×D8—611no—
458C2×D8—611no—
459#131—614no—
460#131—1222no—
461#131—1222no—
462#131—1222no—
463#131—1222no—
464#131—1222no—
465#131—1222no—
466#131—1222no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16C22×D6111yescharacteristic
474C2×M16C22×D6111yescharacteristic
475C22×C8—611no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—611no—
479C22×C8—1221no—
480C22×C8—1221no—
481C22×C8—1221no—
482C22×C8—1221no—
483C4⋊Q8C4×D6111yescharacteristic
484#127C4×D6111yescharacteristic
485#124C4×D6111yescharacteristic
486#124C4×D6111yescharacteristic
487#121—21no—
488#121—21no—
489C4×Q8—611no—
490C4×Q8—611no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—611no—
494C4×D4—611no—
495C4×D4—1221no—
496C4×D4—1221no—
497#117—611no—
498#117—1221no—
499C2×C4⋊C4—21no—
500C2×C42—1221no—
501C2×C42C22×D6111yescharacteristic
502C2×C42C22×D6111yescharacteristic
503C2×C42C22×D6111yescharacteristic
504#108—1222no—
505#108—1222no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512#104—22no—
513#104—22no—
514#104—22no—
515#104—22no—
516#104—1222no—
517#104—1222no—
518#103—611no—
519#103—611no—
520#103—611no—
521#103—611no—
522#102—611no—
523#102—611no—
524#102—611no—
525#102—611no—
526C22⋊C8—1221no—
527C22⋊C8—1221no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530#97—21no—
531#97—611no—
532#97—611no—
533#97—611no—
534#97—611no—
535#97—1222no—
536#97—1221no—
537#97—1221no—
538C4×C8—21no—
539C4×C8—1222no—
540C4×C8—1221no—
541C4×C8—1221no—
542#95—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—21no—
551#41—612no—
552#41—612no—
553#41—1221no—
554#41—1221no—
555C2×Q8—611no—
556C2×Q8C2×C4×D6111yescharacteristic
557C2×Q8C2×C4×D6111yescharacteristic
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—611no—
563C2×D4—1221no—
564C2×D4C2×C4×D6111yescharacteristic
565C2×D4C2×C4×D6111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4#1175822411yescharacteristic
574C22×C4#1175822411yescharacteristic
575C22×C4C23×D6111yescharacteristic
576Q16—1222no—
577Q16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581SD16—1222no—
582D8—1222no—
583D8—1222no—
584M16—21no—
585M16—21no—
586M16—1224no—
587M16—1224no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—1221no—
592M16—2442no—
593M16—2442no—
594M16D4×D6112yes—
595M16#1175822412yes—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—612no—
599C2×C8—611no—
600C2×C8—611no—
601C2×C8—612no—
602C2×C8—611no—
603C2×C8—611no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—611no—
608C2×C8—1224no—
609C2×C8—1224no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—2442no—
619C2×C8—2442no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—42no—
623C4⋊C4—611no—
624C4⋊C4—611no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—21no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—21no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42C2×C4×D6111yescharacteristic
642C42C2×C4×D6111yescharacteristic
643C42D4×D6111yescharacteristic
644C42D4×D6111yescharacteristic
645C23—21no—
646C23—21no—
647C23—1221no—
648C23C2×#1175822411yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—21no—
652Q8—21no—
653Q8—612no—
654Q8—1221no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—21no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—81no—
665D4—612no—
666D4—1222no—
667D4—1222no—
668D4—1221no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—1221no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1221no—
687C2×C4—1221no—
688C2×C4—4881no—
689C2×C4—4881no—
690C2×C4#1451973711yescharacteristic
691C2×C4#1451973711yescharacteristic
692C2×C4#1451973711yescharacteristic
693C2×C4#1451973711yescharacteristic
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C2×D4×D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4#41×D6111yescharacteristic
699C2×C4C2×#1175822411yescharacteristic
700C8—22no—
701C8—22no—
702C8—612no—
703C8—612no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1221no—
708C8—1221no—
709C8—1221no—
710C8—2441no—
711C8—2441no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—1222no—
721C22—2441no—
722C22—2441no—
723C22C2×#1451973711yescharacteristic
724C22#1684029111yescharacteristic
725C22#1684031011yescharacteristic
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—42no—
731C4—41no—
732C4—41no—
733C4—81no—
734C4—1222no—
735C4—2441no—
736C4—2441no—
737C4C4×D4×D6111yescharacteristic
738C4C4×#1175822411yescharacteristic
739C4#121×D6111yescharacteristic
740C4#1684027211yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—81no—
745C2—2442no—
746C2#2144833511yescharacteristic
747C2#2145472511yescharacteristic
748C2#2145473211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1980C2
socleC22×C61C2×C4×D4
prime radical#21455268C2
cosocleC22×C4×C61C24
hypercenter#1980D61
hypocenterC61#21519
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1980

Complements

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

NH ≅ G/Ntype
2. C2×#16839881C2semidirect
3. C2×#16839876C2semidirect
4. #21454537C2semidirect
5. #21454248C2semidirect
6. #21446594C2semidirect
7. #21446470C2semidirect
8. #21446470C2semidirect
9. #21446143C2semidirect
10. #21446143C2semidirect
11. #21445840C2semidirect
12. #21445694C2semidirect
13. #21445664C2semidirect
14. #21445657C2semidirect
15. C61×#1980C2semidirect
23. #16839981C4semidirect
24. #16839981C4semidirect
25. #16839974C4semidirect
26. #16839974C4semidirect
27. #16839969C4semidirect
28. #16839964C4semidirect
29. #16839959C4semidirect
30. #16839954C4semidirect
85. #14519785D4semidirect
372. #1980D61semidirect
443. C61#21519semidirect

Maximal subgroups

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

subgroupindex
#214552682
C2×#168398812
C2×#168398762
#214545372
#214542482
#214465942
#214464702
#214461432
#214458402
#214456942
#214456642
#214456572
C61×#19802
#2151961