Finite Group Databasebeta

← #29658314

Subgroups — #29658314

Order 15616.

870 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21457156C211yesmaximal, characteristic, complemented
2#21457156C211yesmaximal, characteristic, complemented
3#21456361C211yesmaximal, characteristic, complemented
4#21445103C211yesmaximal, characteristic, complemented
5#21445096C211yesmaximal, characteristic, complemented
6#21445089C211yesmaximal, characteristic, complemented
7#21445082C211yesmaximal, characteristic, complemented
8#21445075C211yesmaximal, characteristic, complemented
9#21445068C211yesmaximal, characteristic, complemented
10#21445061C211yesmaximal, characteristic, complemented
11#21445054C211yesmaximal, characteristic, complemented
12C2×#16839508C211yesmaximal, characteristic, complemented
13#21444232C211yesmaximal, characteristic, complemented
14#21444232C211yesmaximal, characteristic, complemented
15C61×#3552C211yesmaximal, characteristic
16#16840319C2211yescharacteristic
17#16840168—22no—
18#16840165C2211yescharacteristic
19#16840165C2211yescharacteristic
20#16840158C2211yescharacteristic
21#16840158C2211yescharacteristic
22#16840066—21no—
23#16840066—21no—
24#16840047C2211yescharacteristic
25#16840047C2211yescharacteristic
26#16840042C2211yescharacteristic
27#16840042C2211yescharacteristic
28#16840001—21no—
29#16840001—21no—
30#16839989—21no—
31#16839989—21no—
32#16839981—21no—
33#16839981—21no—
34#16839972C2211yescharacteristic
35#16839972C2211yescharacteristic
36#16839967C2211yescharacteristic
37#16839967C2211yescharacteristic
38#16839802—22no—
39C2×C4⋊#92418C2211yescharacteristic
40C2×C4⋊#92418C2211yescharacteristic
41C4×#11758194C2211yescharacteristic
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#563—22no—
55C61×#557C2211yescharacteristic
56C61×#556C2211yescharacteristic
57C61×#554—21no—
58C61×#553—21no—
59D4×Q8×C61—21no—
60D4×Q8×C61C2211yescharacteristic
61C61×#548—21no—
62C61×#547C2211yescharacteristic
63C61×#544—21no—
64C61×#542—21no—
65C61×#541—21no—
66C61×#539—22no—
67C61×#536—21no—
68C2×C4⋊Q8×C61C2211yescharacteristic
69C61×#529C2211yescharacteristic
70C61×#529C2211yescharacteristic
71C2×#11758202—21no—
72C2×#11758202—21no—
73C2×#11758200—21no—
74C2×#11758200—21no—
75C2×#11758194—21no—
76C22×#92418—21no—
77C22×#92418—21no—
78#14519777C2311yescharacteristic
79#14519777C2311yescharacteristic
80#14519769—21no—
81#14519756—21no—
82#14519756—21no—
83C4×Dic122—21no—
84C4×Dic122—21no—
85#14519736—21no—
86#14519710—21no—
87#14519710—21no—
88#14519710—22no—
89#14519710—22no—
90#14519708—21no—
91#14519708—21no—
92#14519708—22no—
93#14519708—22no—
94C4⋊#92418—21no—
95C4⋊#92418—21no—
96C4⋊#92418C2311yescharacteristic
97C4⋊#92418C2311yescharacteristic
98C4⋊#92418C2311yescharacteristic
99C4⋊#92418C2311yescharacteristic
100#14519701—21no—
101#14519701—21no—
102#14519700—21no—
103#14519700—21no—
104#14519700—21no—
105#14519700—21no—
106#14519698—21no—
107#14519698—21no—
108#14519688—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C22×Q8×C61—21no—
113C22×Q8×C61—21no—
114C4⋊Q8×C61—22no—
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61—21no—
119C4⋊Q8×C61D412yes—
120C4⋊Q8×C61C2311yescharacteristic
121C4⋊Q8×C61C2311yescharacteristic
122#126×C61—22no—
123#126×C61—22no—
124#126×C61—22no—
125#126×C61—21no—
126#126×C61—21no—
127#125×C61—22no—
128#125×C61—22no—
129#125×C61—22no—
130#125×C61—21no—
131#125×C61D411yescharacteristic
132#125×C61D411yescharacteristic
133#124×C61—22no—
134#124×C61—21no—
135#124×C61D411yescharacteristic
136#124×C61D411yescharacteristic
137#123×C61—22no—
138#123×C61—22no—
139#123×C61—21no—
140#123×C61—21no—
141#123×C61—22no—
142C22⋊Q8×C61—22no—
143C22⋊Q8×C61—22no—
144C22⋊Q8×C61—22no—
145C22⋊Q8×C61—22no—
146C22⋊Q8×C61—22no—
147C22⋊Q8×C61—21no—
148C22⋊Q8×C61—22no—
149C22⋊Q8×C61—21no—
150C22⋊Q8×C61—21no—
151C22⋊Q8×C61D411yescharacteristic
152C22⋊Q8×C61D411yescharacteristic
153#121×C61—22no—
154#121×C61—21no—
155#121×C61D411yescharacteristic
156#121×C61D411yescharacteristic
157C4×Q8×C61—21no—
158C4×Q8×C61—21no—
159C4×Q8×C61—21no—
160C4×Q8×C61C2311yescharacteristic
161C4×Q8×C61C2311yescharacteristic
162C4×D4×C61—22no—
163C4×D4×C61—22no—
164C4×D4×C61—21no—
165C4×D4×C61—21no—
166C4×D4×C61—21no—
167C4×D4×C61C2311yescharacteristic
168C4×D4×C61C2311yescharacteristic
169#117×C61—21no—
170#117×C61—21no—
171#117×C61—21no—
172C2×C4⋊C4×C61—21no—
173C2×C4⋊C4×C61—21no—
174C2×C4⋊C4×C61D412yes—
175C2×C42×C61C2311yescharacteristic
176#41×C61—81no—
177#41×C61—81no—
178C2×Q8×C61—22no—
179C2×Q8×C61—22no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—81no—
183C2×Q8×C61—81no—
184C2×Q8×C61—81no—
185C2×Q8×C61—81no—
186C2×Q8×C61C2×D411yescharacteristic
187C2×Q8×C61C2×D411yescharacteristic
188C2×D4×C61—21no—
189C2×D4×C61—21no—
190C2×D4×C61—22no—
191C2×D4×C61C2×D411yescharacteristic
192C2×D4×C61C2×D411yescharacteristic
193C22×C4×C61—22no—
194C22×C4×C61—22no—
195C22×C4×C61—22no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D411yescharacteristic
201C2×Dic122—21no—
202C2×Dic122—21no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—22no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C2×D411yescharacteristic
222C4⋊C4×C61C2×D412yes—
223C4⋊C4×C61C2×D412yes—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D411yescharacteristic
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—21no—
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C42×C61—22no—
242C42×C61—22no—
243C42×C61—21no—
244C42×C61—21no—
245C42×C61C2×D411yescharacteristic
246C42×C61C2×D411yescharacteristic
247C42×C61C2×D411yescharacteristic
248C42×C61C2411yescharacteristic
249C22⋊Dic61—41no—
250#11758202—81no—
251#11758202—81no—
252#11758200—81no—
253#11758200—81no—
254C4⋊Dic61—21no—
255C4⋊Dic61—21no—
256C4⋊Dic61—21no—
257C4⋊Dic61—21no—
258#11758196—41no—
259#11758196—41no—
260C4×Dic61—41no—
261#11758194—24no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—81no—
269C2×#92418—81no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61#12011yescharacteristic
273Q8×C61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61—82no—
282Q8×C61—82no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—42no—
288D4×C61—42no—
289D4×C61—82no—
290C2×C4×C61—22no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—22no—
301C2×C4×C61—22no—
302C2×C4×C61—21no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—82no—
308C2×C4×C61—82no—
309C2×C4×C61—82no—
310C2×C4×C61#12011yescharacteristic
311C2×C4×C61#12011yescharacteristic
312C2×C4×C61#12011yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×Dic61—41no—
317C2×Dic61—41no—
318Dic122—41no—
319Dic122—41no—
320Dic122—41no—
321Dic122—41no—
322#92418—22no—
323#92418—22no—
324#92418—41no—
325#92418—41no—
326#92418—41no—
327#92418—41no—
328#18733—611nomaximal, Sylow
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61#45612yes—
338C22×C61C2×#12011yescharacteristic
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—41no—
344C4×C61—42no—
345C4×C61—41no—
346C4×C61—42no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61#57611yescharacteristic
352C4×C61#57711yescharacteristic
353C4×C61#57711yescharacteristic
354C4×C61#57811yescharacteristic
355Dic61—81no—
356Dic61—81no—
357#3552D6111yescharacteristic
358#3248—611no—
359#3248—611no—
360#3165—611no—
361#1654—611no—
362#1653—611no—
363#1652—611no—
364#1651—611no—
365#1650—611no—
366#1649—611no—
367#1648—611no—
368#1647—611no—
369C2×#332—611no—
370#1483—611no—
371#1483—611no—
372C2×C61—22no—
373C2×C61—81no—
374C2×C61—81no—
375C2×C61#301211yescharacteristic
376C2×C61#301311yescharacteristic
377C2×C61C2×#45611yescharacteristic
378#563—22no—
379#557C2×D6111yescharacteristic
380#556C2×D6111yescharacteristic
381#554—21no—
382#553—21no—
383D4×Q8—21no—
384D4×Q8C2×D6111yescharacteristic
385#548—21no—
386#547C2×D6111yescharacteristic
387#544—21no—
388#542—21no—
389#541—21no—
390#539—22no—
391#536—21no—
392#533—611no—
393C2×C4⋊Q8C2×D6111yescharacteristic
394#529C2×D6111yescharacteristic
395#529C2×D6111yescharacteristic
396#501—1222no—
397#500—611no—
398#500—611no—
399#498—611no—
400#498—611no—
401#479—1221no—
402#479—1221no—
403#475—611no—
404#475—611no—
405#474—611no—
406#474—611no—
407#467—1221no—
408#467—1221no—
409#465—1221no—
410#465—1221no—
411#464—1221no—
412#464—1221no—
413#462—611no—
414#462—611no—
415#461—611no—
416#461—611no—
417#428—1222no—
418C2×C4⋊C8—611no—
419C2×C4⋊C8—611no—
420C4×M16—611no—
421#332—611no—
422#332—611no—
423#332—611no—
424#332—611no—
425Q8⋊C8—611no—
426Q8⋊C8—611no—
427Q8⋊C8—611no—
428Q8⋊C8—611no—
429D4⋊C8—611no—
430D4⋊C8—611no—
431D4⋊C8—611no—
432D4⋊C8—611no—
433C61#1873311yescharacteristic, complemented, Sylow
434C2×#41—21no—
435C22×Q8—21no—
436C22×Q8—21no—
437C2×Q16—1221no—
438C2×Q16—1221no—
439C2×SD16—1221no—
440C2×SD16—1221no—
441C2×M16—1221no—
442C22×C8—1221no—
443C22×C8—1221no—
444C4⋊Q8—22no—
445C4⋊Q8—21no—
446C4⋊Q8—21no—
447C4⋊Q8—21no—
448C4⋊Q8—21no—
449C4⋊Q8—611no—
450C4⋊Q8—611no—
451C4⋊Q8C22⋊D6112yes—
452C4⋊Q8C22×D6111yescharacteristic
453C4⋊Q8C22×D6111yescharacteristic
454#126—22no—
455#126—22no—
456#126—22no—
457#126—21no—
458#126—21no—
459#125—22no—
460#125—22no—
461#125—22no—
462#125—21no—
463#125—1221no—
464#125C22⋊D6111yescharacteristic
465#125C22⋊D6111yescharacteristic
466#124—22no—
467#124—21no—
468#124C22⋊D6111yescharacteristic
469#124C22⋊D6111yescharacteristic
470#123—22no—
471#123—22no—
472#123—21no—
473#123—21no—
474#123—22no—
475C22⋊Q8—22no—
476C22⋊Q8—22no—
477C22⋊Q8—22no—
478C22⋊Q8—22no—
479C22⋊Q8—22no—
480C22⋊Q8—21no—
481C22⋊Q8—22no—
482C22⋊Q8—21no—
483C22⋊Q8—21no—
484C22⋊Q8—1221no—
485C22⋊Q8—1221no—
486C22⋊Q8C22⋊D6111yescharacteristic
487C22⋊Q8C22⋊D6111yescharacteristic
488#121—22no—
489#121—21no—
490#121C22⋊D6111yescharacteristic
491#121C22⋊D6111yescharacteristic
492C4×Q8—21no—
493C4×Q8—21no—
494C4×Q8—21no—
495C4×Q8—1221no—
496C4×Q8—1221no—
497C4×Q8C22×D6111yescharacteristic
498C4×Q8C22×D6111yescharacteristic
499C4×D4—22no—
500C4×D4—22no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4C22×D6111yescharacteristic
505C4×D4C22×D6111yescharacteristic
506#117—21no—
507#117—21no—
508#117—21no—
509#117—1221no—
510C2×C4⋊C4—21no—
511C2×C4⋊C4—21no—
512C2×C4⋊C4C22⋊D6112yes—
513C2×C42C22×D6111yescharacteristic
514#107—1222no—
515#107—1222no—
516#107—1221no—
517#107—1221no—
518#106—1222no—
519#106—1222no—
520#106—1221no—
521#106—1221no—
522C4⋊C8—611no—
523C4⋊C8—611no—
524C4⋊C8—611no—
525C4⋊C8—611no—
526C4⋊C8—1221no—
527C4⋊C8—1221no—
528#103—1221no—
529#103—1221no—
530#103—1221no—
531#103—1221no—
532#103—1221no—
533#103—1221no—
534#102—1221no—
535#102—1221no—
536#97—1221no—
537C4×C8—611no—
538C4×C8—611no—
539#41—81no—
540#41—81no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—22no—
545C2×Q8—81no—
546C2×Q8—81no—
547C2×Q8—81no—
548C2×Q8—81no—
549C2×Q8—1221no—
550C2×Q8—1221no—
551C2×Q8C2×C22⋊D6111yescharacteristic
552C2×Q8C2×C22⋊D6111yescharacteristic
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4C2×C22⋊D6111yescharacteristic
557C2×D4C2×C22⋊D6111yescharacteristic
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4C2×C22⋊D6111yescharacteristic
564C22×C4C2×C22⋊D6111yescharacteristic
565C22×C4C2×C22⋊D6111yescharacteristic
566Q16—4881no—
567Q16—4881no—
568SD16—4881no—
569SD16—4881no—
570M16—1224no—
571C2×C8—1221no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—4881no—
578C2×C8—4881no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—2441no—
602C4⋊C4—2441no—
603C4⋊C4C2×C22⋊D6111yescharacteristic
604C4⋊C4C2×C22⋊D6111yescharacteristic
605C4⋊C4C2×C22⋊D6111yescharacteristic
606C4⋊C4C2×C22⋊D6111yescharacteristic
607C4⋊C4C2×C22⋊D6112yes—
608C4⋊C4C2×C22⋊D6112yes—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—2441no—
624C42—22no—
625C42—22no—
626C42—21no—
627C42—21no—
628C42—2441no—
629C42C2×C22⋊D6111yescharacteristic
630C42C2×C22⋊D6111yescharacteristic
631C42C2×C22⋊D6111yescharacteristic
632C42C23×D6111yescharacteristic
633C23—21no—
634C23—21no—
635C23#1451974611yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—21no—
639Q8—21no—
640Q8—41no—
641Q8—41no—
642Q8—41no—
643Q8—41no—
644Q8—82no—
645Q8—82no—
646Q8—2441no—
647Q8—2441no—
648Q8—2441no—
649Q8—2441no—
650D4—21no—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—42no—
655D4—42no—
656D4—82no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—82no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4#1451974611yescharacteristic
680C2×C4#1451974611yescharacteristic
681C2×C4#1451974611yescharacteristic
682C2×C4C22×C22⋊D6111yescharacteristic
683C2×C4C22×C22⋊D6111yescharacteristic
684C2×C4C22×C22⋊D6111yescharacteristic
685C8—1222no—
686C8—1222no—
687C8—2441no—
688C8—2441no—
689C8—2441no—
690C8—2441no—
691C22—21no—
692C22—21no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22#1683994512yes—
700C22C2×#1451974611yescharacteristic
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—41no—
706C4—42no—
707C4—41no—
708C4—42no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—4881no—
714C4—4881no—
715C4#1684056511yescharacteristic
716C4#1684057011yescharacteristic
717C4#1684057311yescharacteristic
718C4#1684057711yescharacteristic
719C2—22no—
720C2—81no—
721C2—81no—
722C2#2145512311yescharacteristic
723C2#2145513411yescharacteristic
724C2C2×#1683994511yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3552C2
socleC22×C61C2×#120
hypercenter#3552D61
hypocenterC61#18733
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #21457156C2semidirect
2. #21457156C2semidirect
3. #21456361C2semidirect
4. #21445103C2semidirect
5. #21445096C2semidirect
6. #21445089C2semidirect
7. #21445082C2semidirect
8. #21445075C2semidirect
9. #21445068C2semidirect
10. #21445061C2semidirect
11. #21445054C2semidirect
12. C2×#16839508C2semidirect
13. #21444232C2semidirect
14. #21444232C2semidirect
433. C61#18733semidirect

Maximal subgroups

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

subgroupindex
#214571562
#214563612
#214451032
#214450962
#214450892
#214450822
#214450752
#214450682
#214450612
#214450542
C2×#168395082
#214442322
C61×#35522
#1873361