Finite Group Databasebeta

← #29686472

Subgroups — #29686472

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#21455274C211yesmaximal, characteristic
2C2×#16839881C211yesmaximal, characteristic, complemented
3C2×#16839876C211yesmaximal, characteristic, complemented
4#21454536C211yesmaximal, characteristic, complemented
5#21454247C211yesmaximal, characteristic, complemented
6#21446737C211yesmaximal, characteristic, complemented
7#21446592C211yesmaximal, characteristic, complemented
8#21446465C211yesmaximal, characteristic, complemented
9#21446465C211yesmaximal, characteristic, complemented
10#21446144C211yesmaximal, characteristic, complemented
11#21446144C211yesmaximal, characteristic, complemented
12#21445694C211yesmaximal, characteristic, complemented
13#21445660C211yesmaximal, characteristic, complemented
14#21445653C211yesmaximal, characteristic, complemented
15C61×#1806C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519784C2211yescharacteristic
21C2×#14519784C2211yescharacteristic
22#16840312C2211yescharacteristic
23#16839984C411yescharacteristic, complemented
24#16839984C411yescharacteristic, complemented
25#16839977C411yescharacteristic, complemented
26#16839977C411yescharacteristic, complemented
27#16839972C411yescharacteristic, complemented
28#16839967C411yescharacteristic, complemented
29#16839962C411yescharacteristic, complemented
30#16839957C411yescharacteristic, complemented
31#16839881—24no—
32#16839876—24no—
33#16839832—21no—
34#16839832—21no—
35#16839832—21no—
36#16839832—21no—
37C2×#14519712C2211yescharacteristic
38C2×#14519712C2211yescharacteristic
39C2×C4⋊#92418C2211yescharacteristic
40C2×#14519705C2211yescharacteristic
41C2×#14519705C2211yescharacteristic
42C2×#14519705C2211yescharacteristic
43C2×#14519705C2211yescharacteristic
44#16839756C2211yescharacteristic
45#16839756C2211yescharacteristic
46#16839730C2211yescharacteristic
47#16839730C2211yescharacteristic
48#16839718—21no—
49#16839718—21no—
50#16839718C2211yescharacteristic
51#16839718C2211yescharacteristic
52C4×#11758194—21no—
53C4×#11758194C2211yescharacteristic
54C2×#14519688—21no—
55C2×#14519688C2211yescharacteristic
56C2×#14519688C2211yescharacteristic
57C2×C4×#92418C2211yescharacteristic
58#16839526C2211yescharacteristic
59#16839526C2211yescharacteristic
60#16839517C2211yescharacteristic
61#16839517C2211yescharacteristic
62C4×#41×C61C2211yescharacteristic
63C61×#423C2211yescharacteristic
64C2×#104×C61C2211yescharacteristic
65C2×#104×C61C2211yescharacteristic
66C4×C4⋊C4×C61C2211yescharacteristic
67C61×#339C2211yescharacteristic
68C61×#339C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71#14519797—22no—
72#14519797—22no—
73#14519797—22no—
74#14519797—22no—
75C2×#11758202C2×C411yescharacteristic
76C2×#11758202C2×C411yescharacteristic
77C2×#11758200C2×C411yescharacteristic
78C2×#11758200C2×C411yescharacteristic
79C2×#11758201C2×C411yescharacteristic
80C2×#11758201C2×C411yescharacteristic
81C2×#11758199C2×C411yescharacteristic
82C2×#11758199C2×C411yescharacteristic
83#14519785—22no—
84#14519785—22no—
85#14519785—22no—
86#14519785—22no—
87#14519784—22no—
88#14519784—22no—
89#14519784—22no—
90#14519784D414yescomplemented
91C2×#11758194—21no—
92C2×#11758194—21no—
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C2×#11758189—21no—
96C2×#11758189—21no—
97C22×#92418—21no—
98C22×#92418—21no—
99C22×#92418C2311yescharacteristic
100C22×#92418C2311yescharacteristic
101C22×#92418C2311yescharacteristic
102C22×#92418C2311yescharacteristic
103C2×C8×D61—21no—
104C2×C8×D61—21no—
105#14519777C2×C411yescharacteristic
106#14519774C2×C411yescharacteristic
107#14519765C2×C411yescharacteristic
108#14519765C2×C411yescharacteristic
109#14519751—21no—
110#14519751—21no—
111C4×D244—21no—
112C4×D244—21no—
113#14519712—22no—
114#14519712—22no—
115C4⋊#92418C2×C411yescharacteristic
116C4⋊#92418C2×C411yescharacteristic
117C4⋊#92418C2×C411yescharacteristic
118C4⋊#92418C2×C411yescharacteristic
119#14519705—22no—
120#14519705—22no—
121#14519705—22no—
122#14519705—22no—
123#14519700C2×C411yescharacteristic
124#14519700C2×C411yescharacteristic
125#14519700C2×C411yescharacteristic
126#14519700C2×C411yescharacteristic
127#14519697C2×C411yescharacteristic
128#14519697C2×C411yescharacteristic
129#14519697C2×C411yescharacteristic
130#14519697C2×C411yescharacteristic
131#14519689—21no—
132#14519689—21no—
133#14519689—21no—
134#14519689—21no—
135#14519688—21no—
136#14519688—21no—
137#14519688—21no—
138#14519688—22no—
139#14519688D411yescharacteristic
140#14519688D411yescharacteristic
141#14519688D411yescharacteristic
142#14519688D411yescharacteristic
143C4×#92418—21no—
144C4×#92418—22no—
145C4×#92418—21no—
146C4×#92418—21no—
147C2×#41×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C2×M16×C61C2311yescharacteristic
150C4×Q8×C61C2×C411yescharacteristic
151C4×Q8×C61C2×C411yescharacteristic
152C4×D4×C61—21no—
153C4×D4×C61—21no—
154C4×D4×C61C2×C411yescharacteristic
155C4×D4×C61C2×C411yescharacteristic
156#117×C61—21no—
157#117×C61C2311yescharacteristic
158C2×C4⋊C4×C61—21no—
159C2×C42×C61—21no—
160C2×C42×C61C2311yescharacteristic
161C2×C42×C61C2311yescharacteristic
162C2×C42×C61C2311yescharacteristic
163C4⋊C8×C61—21no—
164C4⋊C8×C61—21no—
165#104×C61—22no—
166#104×C61—22no—
167#95×C61—21no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61C2×D412yes—
171#41×C61#4112yes—
172C2×Q8×C61C22×C411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61C22×C411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61#4111yescharacteristic
181C22×C4×C61#4111yescharacteristic
182C22×C4×C61C2411yescharacteristic
183C2×C22⋊D61—21no—
184C2×C22⋊D61—21no—
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222—21no—
192#11758222—21no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244C22×C411yescharacteristic
196C2×D244C22×C411yescharacteristic
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—42no—
210C4⋊C4×C61C22×C411yescharacteristic
211C4⋊C4×C61C22×C411yescharacteristic
212C22⋊C4×C61—21no—
213C22⋊C4×C61—21no—
214C22⋊C4×C61—21no—
215C42×C61—21no—
216C42×C61—21no—
217C42×C61—21no—
218C42×C61—21no—
219C42×C61—21no—
220C42×C61—21no—
221C42×C61—21no—
222C42×C61C22×C411yescharacteristic
223C42×C61C22×C411yescharacteristic
224C42×C61C2×D411yescharacteristic
225C42×C61C2×D411yescharacteristic
226#11758202—22no—
227#11758202—22no—
228#11758201—22no—
229#11758201—22no—
230#11758200—22no—
231#11758200—22no—
232#11758199—22no—
233#11758199—22no—
234#11758198—21no—
235#11758198—21no—
236#11758198—21no—
237#11758198—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61—21no—
240#11758194—24no—
241#11758194—21no—
242#11758194—21no—
243#11758194—24no—
244#11758194C2×D412yes—
245#11758194#4112yes—
246C2×#92418—24no—
247C2×#92418—21no—
248C2×#92418—21no—
249C2×#92418—21no—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418—24no—
256C2×#92418C22×C411yescharacteristic
257C2×#92418C22×C411yescharacteristic
258C2×#92418C22×C411yescharacteristic
259C2×#92418C22×C411yescharacteristic
260C2×#92418C2×D411yescharacteristic
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D412yes—
263C2×#92418C2×D411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265C2×#92418#4112yes—
266#11758189—42no—
267#11758189—42no—
268C8×D61—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61C2×#4111yescharacteristic
272C22×D61—21no—
273C22×D61—21no—
274Q8×C61—21no—
275Q8×C61C4×D412yes—
276D4×C61—22no—
277D4×C61—22no—
278D4×C61—21no—
279D4×C61C4×D412yes—
280C2×C4×C61—21no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61—41no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—81no—
294C2×C4×C61—81no—
295C2×C4×C61C4×D411yescharacteristic
296C2×C4×C61C4×D411yescharacteristic
297C2×C4×C61C4×D411yescharacteristic
298C2×C4×C61C4×D411yescharacteristic
299C2×C4×C61C23×C411yescharacteristic
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2×#4111yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C22⋊D61—41no—
306C22⋊D61—41no—
307C22⋊D61—41no—
308C22⋊D61—41no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311D244—21no—
312D244—21no—
313D244—21no—
314D244—21no—
315D244—81no—
316D244—81no—
317C4×D61—41no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—41no—
321Dic122—21no—
322Dic122—21no—
323Dic122—21no—
324Dic122—21no—
325C8×C61—41no—
326C8×C61—41no—
327#92418—21no—
328#92418—21no—
329#92418—21no—
330#92418—21no—
331#92418—22no—
332#92418—21no—
333#92418—22no—
334#92418—21no—
335#92418#12112yes—
336#92418#12112yes—
337#21519—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61C2×C4×D411yescharacteristic
344C22×C61#52911yescharacteristic
345C22×C61#53211yescharacteristic
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—22no—
357C4×C61—42no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—81no—
361C4×C61C2×C4×D411yescharacteristic
362C4×C61C4×#4111yescharacteristic
363C4×C61C2×#12111yescharacteristic
364C4×C61#52511yescharacteristic
365Dic61—41no—
366Dic61—41no—
367#3035—611no—
368C2×#444—611no—
369C2×#443—611no—
370#2932—611no—
371#2875—611no—
372#1980—611no—
373#1950—611no—
374#1929—611no—
375#1929—611no—
376#1876—611no—
377#1876—611no—
378#1806D6111yescharacteristic, complemented
379#1771—611no—
380#1765—611no—
381#1764—611no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—42no—
385C2×C61C4×#12111yescharacteristic
386C2×C61#295611yescharacteristic
387C2×C61#295711yescharacteristic
388D61—81no—
389D61—81no—
390C2×#135—611no—
391C2×#135—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—611no—
396#532—611no—
397C4×#41C2×D6111yescharacteristic
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#423C2×D6111yescharacteristic
415C2×C4⋊C8—611no—
416C2×#104—611no—
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
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—611no—
431C4×M16—1221no—
432C2×#97—611no—
433C2×#97—611no—
434C2×#97—1221no—
435C2×C4×C8—611no—
436C4×C4⋊C4C2×D6111yescharacteristic
437#341—611no—
438#341—611no—
439#339C2×D6111yescharacteristic
440#339C2×D6111yescharacteristic
441#336—611no—
442#336—611no—
443C61#2151911yescharacteristic, complemented, Sylow
444C2×#41—611no—
445C2×#41—611no—
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⋊Q8—611no—
484#127—611no—
485#124—611no—
486#124—611no—
487#121—1221no—
488#121—1221no—
489C4×Q8C4×D6111yescharacteristic
490C4×Q8C4×D6111yescharacteristic
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4C4×D6111yescharacteristic
496C4×D4C4×D6111yescharacteristic
497#117—21no—
498#117C22×D6111yescharacteristic
499C2×C4⋊C4—21no—
500C2×C42—21no—
501C2×C42C22×D6111yescharacteristic
502C2×C42C22×D6111yescharacteristic
503C2×C42C22×D6111yescharacteristic
504#108—1222no—
505#108—1222no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512#104—22no—
513#104—22no—
514#104—1222no—
515#104—1222no—
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—611no—
531#97—611no—
532#97—611no—
533#97—611no—
534#97—1222no—
535#97—1221no—
536#97—1221no—
537#97—1221no—
538C4×C8—1222no—
539C4×C8—1221no—
540C4×C8—1221no—
541C4×C8—1221no—
542#95—21no—
543#41—21no—
544#41—21no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41D4×D6112yes—
554#41#1175822612yes—
555C2×Q8—611no—
556C2×Q8—611no—
557C2×Q8C2×C4×D6111yescharacteristic
558C2×D4—21no—
559C2×D4—611no—
560C2×D4—611no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4C2×C4×D6111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
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—21no—
587M16—21no—
588M16—612no—
589M16—612no—
590M16—1224no—
591M16—1224no—
592M16—1221no—
593M16—1221no—
594M16—2442no—
595M16—2442no—
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—1221no—
624C4⋊C4—1221no—
625C4⋊C4C2×C4×D6111yescharacteristic
626C4⋊C4C2×C4×D6111yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—21no—
638C42—21no—
639C42—21no—
640C42—21no—
641C42C2×C4×D6111yescharacteristic
642C42C2×C4×D6111yescharacteristic
643C42D4×D6111yescharacteristic
644C42D4×D6111yescharacteristic
645C23—21no—
646C23—1221no—
647C23—1221no—
648C23C2×#1175822411yescharacteristic
649Q8—21no—
650Q8—1221no—
651Q8—1221no—
652Q8—1221no—
653Q8—1221no—
654Q8#1451973912yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—1221no—
659D4—1221no—
660D4—1221no—
661D4—1221no—
662D4—4881no—
663D4—4881no—
664D4—2441no—
665D4—2441no—
666D4—2441no—
667D4—2441no—
668D4#1451973912yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—1221no—
685C2×C4—1221no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
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×#1175822611yescharacteristic
700C8—41no—
701C8—41no—
702C8—612no—
703C8—612no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1221no—
708C8—1222no—
709C8—1221no—
710C8—1221no—
711C8—1222no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22C2×#1451973711yescharacteristic
724C22#1684029811yescharacteristic
725C22#1684030711yescharacteristic
726C4—22no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—2441no—
736C4—2441no—
737C4C2×#1451973911yescharacteristic
738C4#1684023011yescharacteristic
739C4#121×D6111yescharacteristic
740C4#1684027511yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—4881no—
745C2—4881no—
746C2#2144832511yescharacteristic
747C2#2145472511yescharacteristic
748C2#2145473211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1806C2
socleC22×C61C2×C4×D4
prime radical#21455274C2
cosocleC22×C4×C61C24
hypercenter#1806D61
hypocenterC61#21519
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
2. C2×#16839881C2semidirect
3. C2×#16839876C2semidirect
4. #21454536C2semidirect
5. #21454247C2semidirect
6. #21446737C2semidirect
7. #21446592C2semidirect
8. #21446465C2semidirect
9. #21446465C2semidirect
10. #21446144C2semidirect
11. #21446144C2semidirect
12. #21445694C2semidirect
13. #21445660C2semidirect
14. #21445653C2semidirect
15. C61×#1806C2semidirect
23. #16839984C4semidirect
24. #16839984C4semidirect
25. #16839977C4semidirect
26. #16839977C4semidirect
27. #16839972C4semidirect
28. #16839967C4semidirect
29. #16839962C4semidirect
30. #16839957C4semidirect
90. #14519784D4semidirect
378. #1806D61semidirect
443. C61#21519semidirect

Maximal subgroups

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

subgroupindex
#214552742
C2×#168398812
C2×#168398762
#214545362
#214542472
#214467372
#214465922
#214464652
#214461442
#214456942
#214456602
#214456532
C61×#18062
#2151961