Finite Group Databasebeta

← #29730121

Subgroups — #29730121

Order 15616.

978 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840040C211yesmaximal, characteristic, complemented
2C2×C8×C22⋊D61C211yesmaximal, characteristic, complemented
3#21450813C211yesmaximal, characteristic, complemented
4#21450733C211yesmaximal, characteristic
5#21447245C211yesmaximal, characteristic, complemented
6#21447244C211yesmaximal, characteristic, complemented
7#21447000C211yesmaximal, characteristic, complemented
8#21446998C211yesmaximal, characteristic, complemented
9#21446778C211yesmaximal, characteristic, complemented
10#21446576C211yesmaximal, characteristic, complemented
11#21446244C211yesmaximal, characteristic, complemented
12#21445848C211yesmaximal, characteristic, complemented
13#21445847C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1893C211yesmaximal, characteristic, complemented
16C22×C8×D61C2211yescharacteristic
17C2×#14519776C2211yescharacteristic
18C2×#14519763—21no—
19C2×#14519749—21no—
20C2×#14519748C2211yescharacteristic
21C2×D4×Dic61C2211yescharacteristic
22C2×C4×C22⋊D61C2211yescharacteristic
23#16840040—24no—
24C8×C22⋊D61—24no—
25C2×#14519711C2211yescharacteristic
26C2×#14519711C2211yescharacteristic
27C2×#14519710C2211yescharacteristic
28C2×#14519710C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×C22⋊#92418C2211yescharacteristic
33C2×#14519689C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35#16839691—21no—
36#16839690—21no—
37#16839677—21no—
38#16839676—21no—
39#16839666—21no—
40#16839631C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839620—21no—
44#16839619C2211yescharacteristic
45#16839619C2211yescharacteristic
46#16839619C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54C23×C8×C61C2211yescharacteristic
55C2×#121×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C61×#380C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×Dic122—21no—
62C22×C22⋊D61—21no—
63C22×C22⋊D61D411yescharacteristic
64C23×Dic61—21no—
65C22×C4×D61C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C2×C8×D61—22no—
69C2×C8×D61—22no—
70C2×C8×D61—41no—
71#14519776—22no—
72#14519776—22no—
73#14519763—44no—
74#14519749—44no—
75#14519748—22no—
76#14519748—41no—
77D4×Dic61—22no—
78D4×Dic61—22no—
79C4×C22⋊D61—22no—
80C4×C22⋊D61—22no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×#11758196D411yescharacteristic
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×C22⋊Dic61D411yescharacteristic
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198D411yescharacteristic
98C2×C4×Dic61—21no—
99C2×C4×Dic61C2311yescharacteristic
100#14519711—22no—
101#14519711—41no—
102#14519710—22no—
103#14519710—41no—
104#14519706D414yescomplemented
105#14519698—22no—
106#14519698—22no—
107C22⋊#92418—22no—
108#14519689—22no—
109C8×Dic61—22no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116C22×D4×C61—21no—
117C22×D4×C61C2311yescharacteristic
118C23×C4×C61C2311yescharacteristic
119C22×C8×C61—22no—
120C22×C8×C61—22no—
121C22×C8×C61—41no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124#121×C61—22no—
125#121×C61—41no—
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61—21no—
131#102×C61—22no—
132#102×C61—22no—
133#95×C61—21no—
134C24×C61—21no—
135C24×C61C2×D411yescharacteristic
136C23×D61C2×D411yescharacteristic
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—42no—
143C2×D4×C61—42no—
144C2×D4×C61—81no—
145C2×D4×C61#4112yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—81no—
162C2×C22⋊D61D814yes—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×Dic122—42no—
180C2×Dic122—42no—
181C2×Dic122—42no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—44no—
187C2×C8×C61C2×D412yes—
188C2×C8×C61#4112yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—42no—
197C22⋊Dic61—22no—
198C22⋊Dic61—42no—
199C22⋊Dic61—42no—
200C22⋊Dic61—42no—
201C22⋊Dic61—42no—
202#11758198—22no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214#11758196—22no—
215#11758196—42no—
216#11758196—42no—
217#11758196—81no—
218C4×Dic61—42no—
219C4×Dic61C2×D412yes—
220C4×Dic61#4112yes—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418C2×D412yes—
227C8×D61—44no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—22no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61C2×D812yes—
242C23×C61C22×D411yescharacteristic
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61C2×D812yes—
250D4×C61—22no—
251D4×C61—22no—
252D4×C61—41no—
253D4×C61—41no—
254D4×C61—84no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61H(5,𝔽2)11yescharacteristic
276C2×C4×C612−1+411yescharacteristic
277C22⋊D61—28no—
278C22⋊D61—84no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—84no—
297C2×Dic61#12112yes—
298C2×Dic61#12112yes—
299C2×Dic61C2×D812yes—
300C2×Dic61#13512yes—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305Dic122—84no—
306C8×C61—22no—
307C8×C61—22no—
308#92418—22no—
309#92418—41no—
310#25338—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61C2×#12111yescharacteristic
326C22×C61#54611yescharacteristic
327C22×C61#54711yescharacteristic
328C22×C61C22×D811yescharacteristic
329C22×C61C2×#13511yescharacteristic
330C22×C61#57711yescharacteristic
331C22×C61#57811yescharacteristic
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C4×C61—41no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61#52911yescharacteristic
344C4×C61#54211yescharacteristic
345C4×C61#54611yescharacteristic
346C4×C61#54811yescharacteristic
347Dic61—22no—
348Dic61—41no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353Dic61#46614yes—
354C2×#474—611no—
355C2×C8×D4—611no—
356#2547—611no—
357#2537—611no—
358#2075—611no—
359#2075—611no—
360#2033—611no—
361#2033—611no—
362#1990—611no—
363#1947—611no—
364#1893—611no—
365#1893D6111yescharacteristic, complemented
366#1808—611no—
367#1808—611no—
368C4×#102—611no—
369C2×C61—42no—
370C2×C61—82no—
371C2×C61#242711yescharacteristic
372C2×C61C2×#46611yescharacteristic
373C2×C61#306311yescharacteristic
374C2×C61#329411yescharacteristic
375C2×C61#330211yescharacteristic
376C2×C61#333411yescharacteristic
377C2×C61#334011yescharacteristic
378D61—42no—
379C23×C8—611no—
380C23×C8C2×D6111yescharacteristic
381C2×C4⋊Q8—611no—
382C2×#124—1221no—
383C2×#121—611no—
384C2×#121—1221no—
385C2×#121C2×D6111yescharacteristic
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388#474—1224no—
389C8×D4—1224no—
390C2×#107—611no—
391C2×#107—611no—
392C2×#107—611no—
393C2×#107—611no—
394C2×C4⋊C8—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102C2×D6111yescharacteristic
398C2×#102C2×D6111yescharacteristic
399C2×C22⋊C8—611no—
400C2×C22⋊C8—611no—
401C2×C4×C8—611no—
402#397—1221no—
403#397—1221no—
404#394—1221no—
405#394—1221no—
406#391—1221no—
407#384—611no—
408#380—611no—
409#380—611no—
410#380—611no—
411#380—611no—
412#380—611no—
413#380—1221no—
414#380C2×D6111yescharacteristic
415C4×C4⋊C4—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#340C2×D6111yescharacteristic
424C61#2533811yescharacteristic, complemented, Sylow
425C22×Q8—1221no—
426C22×D4—21no—
427C22×D4—611no—
428C22×D4—1221no—
429C22×D4C22×D6111yescharacteristic
430C23×C4—611no—
431C23×C4—1221no—
432C23×C4C22×D6111yescharacteristic
433C22×C8—22no—
434C22×C8—22no—
435C22×C8—41no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—1222no—
439C22×C8—1222no—
440C22×C8—2441no—
441C22×C8C22×D6111yescharacteristic
442C22×C8C22×D6111yescharacteristic
443C4⋊Q8—1222no—
444C4⋊Q8—1222no—
445#124—2444no—
446#121—22no—
447#121—41no—
448#121—1222no—
449#121—2441no—
450#121—2444no—
451C4×D4—1222no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—611no—
478C2×C42—1221no—
479#107—1222no—
480#107—1222no—
481#107—2441no—
482#107—2441no—
483C4⋊C8—614no—
484#102—22no—
485#102—22no—
486#102—1222no—
487#102—1222no—
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490C4×C8—1222no—
491#95—21no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498C24—21no—
499C24—611no—
500C24D4×D6111yescharacteristic
501C2×Q8—2442no—
502C2×Q8—2442no—
503C2×Q8—2442no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
512C2×D4—614no—
513C2×D4—1222no—
514C2×D4—1222no—
515C2×D4—4881no—
516C2×D4—2442no—
517C2×D4—2442no—
518C2×D4#1175822212yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4D4×D6111yescharacteristic
545C22×C4C23×D6111yescharacteristic
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—44no—
551C2×C8—612no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—2444no—
558C2×C8D4×D6112yes—
559C2×C8#1175822412yes—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—1222no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—4881no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C22⋊C4—2442no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—612no—
590C42—612no—
591C42—2442no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—612no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23D8×D6112yes—
613C23C2×D4×D6111yescharacteristic
614Q8—4884no—
615D4—22no—
616D4—22no—
617D4—41no—
618D4—41no—
619D4—84no—
620D4—1228no—
621D4—4884no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—612no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—4884no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4C2×D4×D6111yescharacteristic
665C2×C4#41×D6111yescharacteristic
666C2×C4C2×#1175822411yescharacteristic
667C2×C4C2×#1175822211yescharacteristic
668C2×C4#1451982211yescharacteristic
669C2×C4#1451982411yescharacteristic
670C8—22no—
671C8—22no—
672C8—1222no—
673C8—2441no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—1222no—
689C22—1222no—
690C22—1222no—
691C22—2441no—
692C22—2441no—
693C22—2441no—
694C22—2441no—
695C22#121×D6111yescharacteristic
696C22#1684040211yescharacteristic
697C22#1684041211yescharacteristic
698C22C2×D8×D6111yescharacteristic
699C22#135×D6111yescharacteristic
700C22#1684056811yescharacteristic
701C22#1684057611yescharacteristic
702C4—41no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—614no—
707C4—1222no—
708C4—4881no—
709C4—4881no—
710C4—4881no—
711C4—4881no—
712C4—2441no—
713C4#1684029211yescharacteristic
714C4#1684038011yescharacteristic
715C4#1684039911yescharacteristic
716C4#1684042111yescharacteristic
717C2—42no—
718C2—82no—
719C2—2442no—
720C2#2144939311yescharacteristic
721C2#466×D6111yescharacteristic
722C2#2145550311yescharacteristic
723C2#2145762811yescharacteristic
724C2#2145773211yescharacteristic
725C2#2145816311yescharacteristic
726C2#2145822711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1893C2
socleC23×C61C22×D4
prime radical#21450733C2
hypercenter#1893D61
hypocenterC61#25338
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1893

Complements

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

NH ≅ G/Ntype
1. C2×#16840040C2semidirect
2. C2×C8×C22⋊D61C2semidirect
3. #21450813C2semidirect
5. #21447245C2semidirect
6. #21447244C2semidirect
7. #21447000C2semidirect
8. #21446998C2semidirect
9. #21446778C2semidirect
10. #21446576C2semidirect
11. #21446244C2semidirect
12. #21445848C2semidirect
13. #21445847C2semidirect
14. #102×Dic61C2semidirect
15. C61×#1893C2semidirect
104. #14519706D4semidirect
365. #1893D61semidirect
424. C61#25338semidirect

Maximal subgroups

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

subgroupindex
C2×#168400402
C2×C8×C22⋊D612
#214508132
#214507332
#214472452
#214472442
#214470002
#214469982
#214467782
#214465762
#214462442
#214458482
#214458472
#102×Dic612
C61×#18932
#2533861