Finite Group Databasebeta

← #29730351

Subgroups — #29730351

Order 15616.

916 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840062C211yesmaximal, characteristic, complemented
2C2×#16839834C211yesmaximal, characteristic, complemented
3#21450985C211yesmaximal, characteristic, complemented
4#21447256C211yesmaximal, characteristic, complemented
5#21447245C211yesmaximal, characteristic, complemented
6#21447005C211yesmaximal, characteristic, complemented
7#21447005C211yesmaximal, characteristic, complemented
8#21446787C211yesmaximal, characteristic, complemented
9#21446580C211yesmaximal, characteristic, complemented
10#21446258C211yesmaximal, characteristic, complemented
11#21446248C211yesmaximal, characteristic, complemented
12#21445850C211yesmaximal, characteristic, complemented
13#21445842C211yesmaximal, characteristic, complemented
14#21445644C211yesmaximal, characteristic, complemented
15C61×#2537C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18C2×#14519769C2211yescharacteristic
19#16840062—24no—
20#16839834—24no—
21C2×#14519710C2211yescharacteristic
22C2×#14519708C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519688C2211yescharacteristic
33#16839700—21no—
34#16839676—21no—
35#16839656—21no—
36#16839656—21no—
37#16839622C2211yescharacteristic
38#16839622C2211yescharacteristic
39#16839622C2211yescharacteristic
40#16839622C2211yescharacteristic
41C4×C4⋊Dic61C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50C2×#121×C61—21no—
51C2×#121×C61C2211yescharacteristic
52C2×#121×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C61×#394—21no—
56C61×#394—21no—
57C61×#384C2211yescharacteristic
58C61×#380—21no—
59C61×#380C2211yescharacteristic
60C61×#380C2211yescharacteristic
61C2×#11758194—22no—
62C2×#11758194—22no—
63C2×#11758194—41no—
64C22×#92418—22no—
65C22×#92418—22no—
66C22×#92418—41no—
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519769—22no—
72#14519769—22no—
73C2×C4⋊Dic61C2311yescharacteristic
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×#11758196—21no—
78C2×#11758196—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C4×Dic61—21no—
84#14519710—22no—
85#14519708—22no—
86#14519708—41no—
87#14519708—41no—
88C4⋊#92418D414yescomplemented
89#14519698—22no—
90#14519698—22no—
91#14519698—22no—
92#14519698—22no—
93C22⋊#92418—22no—
94C22⋊#92418—22no—
95#14519688—22no—
96#14519684—21no—
97#14519684—21no—
98#14519684—21no—
99#14519684—21no—
100#14519684—21no—
101C22×D4×C61—21no—
102C22×D4×C61—21no—
103C22×D4×C61D411yescharacteristic
104C22×D4×C61C2311yescharacteristic
105C23×C4×C61—21no—
106C23×C4×C61C2311yescharacteristic
107C23×C4×C61C2311yescharacteristic
108#121×C61—22no—
109#121×C61—22no—
110#121×C61—41no—
111#121×C61—41no—
112#121×C61—44no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61—22no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61D411yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131#95×C61—21no—
132#95×C61—21no—
133C24×C61—21no—
134C24×C61C2×D411yescharacteristic
135C24×C61C2×D411yescharacteristic
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—41no—
144C2×D4×C61—42no—
145C2×D4×C61—42no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—81no—
149C2×D4×C61—81no—
150C2×D4×C61#4112yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2411yescharacteristic
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C4⋊C4×C61—22no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—42no—
186C4⋊C4×C61—81no—
187C22⋊C4×C61—22no—
188C22⋊C4×C61—22no—
189C22⋊C4×C61—42no—
190C22⋊C4×C61—42no—
191C22⋊C4×C61—42no—
192C22⋊C4×C61—42no—
193C22⋊C4×C61—42no—
194C42×C61C2×D412yes—
195C42×C61#4112yes—
196C22⋊Dic61—42no—
197C22⋊Dic61—42no—
198C22⋊Dic61—81no—
199C22⋊Dic61—81no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208#11758196—42no—
209#11758196—42no—
210C4×Dic61—81no—
211#11758194—44no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—44no—
222C2×#92418C2×D412yes—
223C2×#92418C2×D412yes—
224C2×#92418#4112yes—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—22no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61AGL(1,ℤ/8)12yes—
246C23×C61C22×D411yescharacteristic
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—44no—
250D4×C61—41no—
251D4×C61—41no—
252D4×C61—84no—
253D4×C61—84no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
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×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—84no—
282C2×C4×C61#12112yes—
283C2×C4×C61#12112yes—
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61H(5,𝔽2)11yescharacteristic
289C2×C4×C612−1+411yescharacteristic
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302#92418—22no—
303#92418—22no—
304#92418—22no—
305#92418—41no—
306#25355—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—42no—
318C22×C61—41no—
319C22×C61—42no—
320C22×C61—41no—
321C22×C61—42no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61C2×#12111yescharacteristic
329C22×C61#54611yescharacteristic
330C22×C61#54711yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C61#57511yescharacteristic
333C22×C61#57711yescharacteristic
334C22×C61#57711yescharacteristic
335C4×C61—22no—
336C4×C61—22no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61#52911yescharacteristic
343C4×C61#54211yescharacteristic
344C4×C61#54611yescharacteristic
345C4×C61#54811yescharacteristic
346Dic61—81no—
347Dic61—81no—
348Dic61—81no—
349Dic61—81no—
350C2×#478—611no—
351C2×#435—611no—
352#2562—611no—
353#2537D6111yescharacteristic
354#2077—611no—
355#2075—611no—
356#2034—611no—
357#2034—611no—
358#1992—611no—
359#1948—611no—
360#1895—611no—
361#1893—611no—
362#1809—611no—
363#1807—611no—
364#1762—611no—
365C2×C61—42no—
366C2×C61—81no—
367C2×C61—82no—
368C2×C61#242711yescharacteristic
369C2×C61#305511yescharacteristic
370C2×C61#306011yescharacteristic
371C2×C61#330711yescharacteristic
372C2×C61#331011yescharacteristic
373C2×C61#334511yescharacteristic
374C2×C61#334811yescharacteristic
375C22×M16—611no—
376C23×C8—611no—
377C2×#125—611no—
378C2×#121—21no—
379C2×#121C2×D6111yescharacteristic
380C2×#121C2×D6111yescharacteristic
381C2×C4×D4C2×D6111yescharacteristic
382C2×C4×D4C2×D6111yescharacteristic
383#478—1224no—
384#435—1224no—
385C2×#107—611no—
386C2×#106—611no—
387C2×#106—611no—
388C2×#106—611no—
389C2×C4⋊C8—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×C22⋊C8—611no—
395C2×C22⋊C8—611no—
396C2×#97—611no—
397#400—1221no—
398#394—21no—
399#394—21no—
400#394—1221no—
401#388—1221no—
402#388—1221no—
403#384C2×D6111yescharacteristic
404#380—21no—
405#380—611no—
406#380—611no—
407#380—611no—
408#380—611no—
409#380C2×D6111yescharacteristic
410#380C2×D6111yescharacteristic
411C4×C4⋊C4—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420C61#2535511yescharacteristic, complemented, Sylow
421C22×D4—21no—
422C22×D4—21no—
423C22×D4C22⋊D6111yescharacteristic
424C22×D4C22×D6111yescharacteristic
425C23×C4—21no—
426C23×C4C22×D6111yescharacteristic
427C23×C4C22×D6111yescharacteristic
428C2×M16—1222no—
429C2×M16—1222no—
430C2×M16—2441no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8—1222no—
436C22×C8—1222no—
437C22×C8—2441no—
438#125—1222no—
439#125—1222no—
440#121—22no—
441#121—22no—
442#121—41no—
443#121—41no—
444#121—44no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4C22⋊D6111yescharacteristic
458C2×C4⋊C4C22×D6111yescharacteristic
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4C22⋊D6111yescharacteristic
471C2×C22⋊C4C22⋊D6111yescharacteristic
472C2×C42—1221no—
473C2×C42C22×D6111yescharacteristic
474#107—1222no—
475#106—1222no—
476#106—2441no—
477#106—2441no—
478C4⋊C8—614no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102—1222no—
483C22⋊C8—1222no—
484C22⋊C8—1222no—
485#97—1222no—
486#95—21no—
487#95—21no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493C24—21no—
494C24C2×C22⋊D6111yescharacteristic
495C24C2×C22⋊D6111yescharacteristic
496C2×D4—22no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—41no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4#1175822412yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4C2×C22⋊D6111yescharacteristic
534C22×C4C2×C22⋊D6111yescharacteristic
535C22×C4C2×C22⋊D6111yescharacteristic
536C22×C4C2×C22⋊D6111yescharacteristic
537C22×C4C23×D6111yescharacteristic
538M16—2444no—
539C2×C8—612no—
540C2×C8—612no—
541C2×C8—612no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—2444no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—81no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—2442no—
570C4⋊C4—2442no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—4881no—
579C22⋊C4—4881no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C42—4881no—
583C42D4×D6112yes—
584C42#1175822412yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—21no—
598C23—21no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1451980312yes—
606C23C22×C22⋊D6111yescharacteristic
607D4—22no—
608D4—22no—
609D4—44no—
610D4—41no—
611D4—41no—
612D4—84no—
613D4—84no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
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—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—84no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4#1451974912yes—
655C2×C4#1451974912yes—
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C2×C4C2×#1175822411yescharacteristic
660C2×C4#1451982211yescharacteristic
661C2×C4#1451982411yescharacteristic
662C8—1222no—
663C8—1222no—
664C8—1222no—
665C8—2441no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×#1451974911yescharacteristic
688C22#1684040611yescharacteristic
689C22#1684041111yescharacteristic
690C22C2×#1451980311yescharacteristic
691C22#1684056011yescharacteristic
692C22#1684057011yescharacteristic
693C22#1684057311yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—4881no—
702C4—4881no—
703C4—4881no—
704C4—4881no—
705C4#1684029311yescharacteristic
706C4#1684037911yescharacteristic
707C4#1684040911yescharacteristic
708C4#1684041811yescharacteristic
709C2—42no—
710C2—81no—
711C2—82no—
712C2#2144939811yescharacteristic
713C2#2145543411yescharacteristic
714C2#2145547811yescharacteristic
715C2#2145779511yescharacteristic
716C2#2145784011yescharacteristic
717C2#2145828911yescharacteristic
718C2#2145833411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#2537C2
socleC23×C61C22×D4
hypercenter#2537D61
hypocenterC61#25355
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2537

Complements

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

NH ≅ G/Ntype
1. C2×#16840062C2semidirect
2. C2×#16839834C2semidirect
3. #21450985C2semidirect
4. #21447256C2semidirect
5. #21447245C2semidirect
6. #21447005C2semidirect
7. #21447005C2semidirect
8. #21446787C2semidirect
9. #21446580C2semidirect
10. #21446258C2semidirect
11. #21446248C2semidirect
12. #21445850C2semidirect
13. #21445842C2semidirect
14. #21445644C2semidirect
88. C4⋊#92418D4semidirect
420. C61#25355semidirect

Maximal subgroups

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

subgroupindex
C2×#168400622
C2×#168398342
#214509852
#214472562
#214472452
#214470052
#214467872
#214465802
#214462582
#214462482
#214458502
#214458422
#214456442
C61×#25372
#2535561