Finite Group Databasebeta

← #29686309

Subgroups — #29686309

Order 15616.

1124 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839978C211yesmaximal, characteristic
2C2×#16839875C211yesmaximal, characteristic
3C2×#16839864C211yesmaximal, characteristic, complemented
4C4×#14519765C211yesmaximal, characteristic, complemented
5C42×D244C211yesmaximal, characteristic, complemented
6#21446749C211yesmaximal, characteristic, complemented
7#21446589C211yesmaximal, characteristic, complemented
8#21446454C211yesmaximal, characteristic, complemented
9#21446440C211yesmaximal, characteristic, complemented
10#21446166C211yesmaximal, characteristic
11#21446152C211yesmaximal, characteristic, complemented
12#21445830C211yesmaximal, characteristic, complemented
13#21445650C211yesmaximal, characteristic, complemented
14#21445645C211yesmaximal, characteristic, complemented
15C61×#1767C211yesmaximal, characteristic, complemented
16C22×#11758190C2211yescharacteristic
17C22×D488C2211yescharacteristic
18C2×#14519765C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×C4×D244C2211yescharacteristic
22C2×C4×D244C2211yescharacteristic
23C2×C4×D244C2211yescharacteristic
24C2×C42×D61—21no—
25#16839978C418yescomplemented
26#16839875—24no—
27#16839864—24no—
28C2×#14519711C2211yescharacteristic
29C2×#14519709C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519702C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839653—21no—
41#16839653—21no—
42#16839628C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C4×C4⋊Dic61C2211yescharacteristic
46C4×#11758198—21no—
47C4×#11758198—21no—
48C4×#11758198—21no—
49C4×#11758198—21no—
50C4×#11758198—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C43×C61C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C2×#11758190—22no—
70C2×#11758190—22no—
71C2×#11758190C2×C414yescomplemented
72C2×D488—22no—
73C2×D488—22no—
74C2×D488C2×C414yes—
75#14519765—22no—
76#14519765C2×C414yescomplemented
77C4×Dic122—22no—
78C4×Dic122—22no—
79C4×D244—22no—
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—22no—
83C4×D244—22no—
84C4×D244—22no—
85C4×D244C2×C414yescomplemented
86C4×D244D414yes—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C42×D61—44no—
106#14519711—22no—
107#14519709—22no—
108#14519702—22no—
109#14519702—22no—
110#14519702C2×C414yescomplemented
111#14519699—22no—
112#14519699—22no—
113#14519699—22no—
114#14519699—22no—
115#14519699C2×C414yescomplemented
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C2×C42×C61D411yescharacteristic
128C2×C42×C61D411yescharacteristic
129C2×C42×C61D411yescharacteristic
130C2×C42×C61D411yescharacteristic
131C2×C42×C61C2311yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C2×C42×C61C2311yescharacteristic
134C4⋊C8×C61—22no—
135C4⋊C8×C61C2×C414yescomplemented
136#97×C61—22no—
137#97×C61—22no—
138C23×D61—21no—
139C23×D61—21no—
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2×D411yescharacteristic
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—21no—
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244—21no—
161C2×D244C22×C412yes—
162C2×D244C22×C412yes—
163C2×D244C2×D412yes—
164C2×D244#4112yes—
165C2×C4×D61—24no—
166C2×C4×D61—24no—
167C2×C4×D61—24no—
168C2×C4×D61—42no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122C22×C412yes—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61C22×C412yes—
194C2×C8×C61C22×C412yes—
195C42×C61—22no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—41no—
199C42×C61—41no—
200C42×C61—41no—
201C42×C61C22×C412yes—
202C42×C61C2×D412yes—
203C42×C61#4112yes—
204C42×C61#4112yes—
205#11758198—24no—
206#11758198—24no—
207#11758198—24no—
208#11758198—24no—
209#11758198—24no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61C22×C412yes—
221C4⋊Dic61C2×D412yes—
222C4⋊Dic61#4112yes—
223#11758196—42no—
224C4×Dic61—42no—
225C4×Dic61—42no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228D488—28no—
229#11758190—28no—
230C23×C61C22×D411yescharacteristic
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61C4×D412yes—
259C2×C4×C61C4×D412yes—
260C2×C4×C61#12112yes—
261C2×C4×C61#12112yes—
262C2×C4×C61AGL(1,ℤ/8)12yes—
263C2×C4×C61C23×C411yescharacteristic
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C2×#4111yescharacteristic
266C2×C4×C61C2×#4111yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×Dic61—22no—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287D244—22no—
288D244—22no—
289D244—22no—
290D244—22no—
291D244—22no—
292D244—41no—
293D244—41no—
294D244C4×D414yes—
295C4×D61—48no—
296C4×D61—48no—
297C4×D61—48no—
298C4×D61—84no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303C8×C61—22no—
304C8×C61—22no—
305C8×C61—41no—
306C8×C61—41no—
307#21507—611nomaximal, Sylow
308C22×C61C2×C4×D411yescharacteristic
309C22×C61C2×#12111yescharacteristic
310C22×C61#52511yescharacteristic
311C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C61#57511yescharacteristic
313C22×C61#57511yescharacteristic
314C22×C61#57511yescharacteristic
315C2×D61—24no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—41no—
335C4×C61C2×C4×D411yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52911yescharacteristic
338C4×C61#53211yescharacteristic
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345C2×#463—611no—
346C2×#442—611no—
347C2×#440—611no—
348C4×#124—611no—
349C42×D4—611no—
350#1983—611no—
351#1949—611no—
352#1927—611no—
353#1925—611no—
354#1879—611no—
355#1877—611no—
356#1804—611no—
357#1767D6111yescharacteristic, complemented
358#1763—611no—
359#1762—611no—
360C2×C61C4×#12111yescharacteristic
361C2×C61#294311yescharacteristic
362C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C61#303611yescharacteristic
364C2×C61#304011yescharacteristic
365C2×C61#311111yescharacteristic
366C2×C61#311411yescharacteristic
367D61—44no—
368D61—82no—
369C22×SD16—611no—
370C22×D8—611no—
371C2×#124—611no—
372C2×C4×Q8—611no—
373C2×C4×D4—611no—
374C2×C4×D4—611no—
375C2×C4×D4—611no—
376C2×C4×D4—611no—
377C22×C42—1221no—
378#463—618no—
379#442—1224no—
380#440—1224no—
381C2×#107—611no—
382C2×#106—611no—
383C2×C4⋊C8C2×D6111yescharacteristic
384C2×C4⋊C8C2×D6111yescharacteristic
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#97C2×D6111yescharacteristic
394C2×#97C2×D6111yescharacteristic
395#391—611no—
396#390—611no—
397#388—1221no—
398#388—1221no—
399#382—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—611no—
402C4×C4⋊C4—611no—
403C4×C22⋊C4—1221no—
404C4×C22⋊C4—1221no—
405C4×C22⋊C4—1221no—
406C4×C22⋊C4—1221no—
407C4×C22⋊C4—1221no—
408C43C2×D6111yescharacteristic
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336C2×D6111yescharacteristic
414#336C2×D6111yescharacteristic
415C61#2150711yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4—611no—
418C22×D4—611no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4—1221no—
423C2×SD16—614no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C2×D8—614no—
427C2×D8—1222no—
428C2×D8—1222no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433#124—614no—
434#124—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×D4—614no—
438C4×D4—614no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—1222no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—1221no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
462C2×C42—1221no—
463C2×C42—2444no—
464C2×C42D24411yescharacteristic
465C2×C42D24411yescharacteristic
466C2×C42D24411yescharacteristic
467C2×C42D24411yescharacteristic
468C2×C42C22×D6111yescharacteristic
469C2×C42C22×D6111yescharacteristic
470C2×C42C22×D6111yescharacteristic
471#107—1222no—
472#106—1222no—
473C4⋊C8—22no—
474C4⋊C8C4×D6114yescomplemented
475#103—614no—
476#103—1222no—
477#103—1222no—
478#102—614no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102—1222no—
483#97—22no—
484#97—22no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—1221no—
493C24—1221no—
494C2×Q8—612no—
495C2×Q8—1221no—
496C2×Q8—1221no—
497C2×Q8—1221no—
498C2×Q8—1221no—
499C2×Q8—1221no—
500C2×D4—612no—
501C2×D4—612no—
502C2×D4—612no—
503C2×D4—612no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C22×C4—1224no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—1224no—
518C22×C4—1224no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4C2×D24411yescharacteristic
531C22×C4C2×D24411yescharacteristic
532C22×C4C2×D24411yescharacteristic
533C22×C4C2×D24411yescharacteristic
534C22×C4C2×D24411yescharacteristic
535C22×C4C2×D24411yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—1228no—
538D8—1228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8C2×C4×D6112yes—
550C2×C8C2×C4×D6112yes—
551C4⋊C4—612no—
552C4⋊C4—612no—
553C4⋊C4—612no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—2442no—
562C22⋊C4—1224no—
563C22⋊C4—1224no—
564C22⋊C4—1224no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—21no—
571C42—21no—
572C42—22no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—2442no—
577C42—2442no—
578C42—2442no—
579C42—2442no—
580C42C2×C4×D6112yes—
581C42#1175822212yes—
582C42D4×D6112yes—
583C42#1175822612yes—
584C23—1222no—
585C23—1222no—
586C23—1222no—
587C23—1222no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23—2441no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23C22×D24411yescharacteristic
599Q8—1222no—
600Q8—1222no—
601Q8—2441no—
602Q8—2441no—
603D4—614no—
604D4—1222no—
605D4—1222no—
606D4—1222no—
607D4—1222no—
608D4—1222no—
609D4—2441no—
610D4—2441no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
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—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—4884no—
629C2×C4—2448no—
630C2×C4—2448no—
631C2×C4—2448no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4C4×D24412yes—
647C2×C4C4×D24412yes—
648C2×C4#1451975212yes—
649C2×C4#1451975212yes—
650C2×C4#1451980512yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4C2×#1175822611yescharacteristic
657C8—22no—
658C8—22no—
659C8—41no—
660C8—41no—
661C22—1224no—
662C22—4881no—
663C22—4881no—
664C22—4881no—
665C22—4881no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22—2442no—
670C22—2442no—
671C22—2442no—
672C22—2442no—
673C22—2442no—
674C22—2442no—
675C22C2×C4×D24411yescharacteristic
676C22C2×#1451975211yescharacteristic
677C22#1684027411yescharacteristic
678C22C2×#1451980511yescharacteristic
679C22#1684056211yescharacteristic
680C22#1684056211yescharacteristic
681C22#1684056211yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—41no—
688C4—4881no—
689C4—4881no—
690C4—2442no—
691C4—2442no—
692C4—2442no—
693C4—2442no—
694C4C4×D4×D6111yescharacteristic
695C4C4×#1175822611yescharacteristic
696C4#1684029911yescharacteristic
697C4#1684030911yescharacteristic
698C2—4882no—
699C2—2444no—
700C2C4×#1451975211yescharacteristic
701C2#2145462111yescharacteristic
702C2C4×#1451980511yescharacteristic
703C2#2145528511yescharacteristic
704C2#2145531411yescharacteristic
705C2#2145593011yescharacteristic
706C2#2145595911yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1767C2
socleC23×C61C22×D4
prime radicalC22×D488C22
cosocleC22×C4×C61C24
hypercenter#1767D61
hypocenterC61#21507
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C43 ◁ #1767

Complements

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

NH ≅ G/Ntype
3. C2×#16839864C2semidirect
4. C4×#14519765C2semidirect
5. C42×D244C2semidirect
6. #21446749C2semidirect
7. #21446589C2semidirect
8. #21446454C2semidirect
9. #21446440C2semidirect
11. #21446152C2semidirect
12. #21445830C2semidirect
13. #21445650C2semidirect
14. #21445645C2semidirect
15. C61×#1767C2semidirect
25. #16839978C4semidirect
71. C2×#11758190C2×C4semidirect
76. #14519765C2×C4semidirect
85. C4×D244C2×C4semidirect
110. #14519702C2×C4semidirect
115. #14519699C2×C4semidirect
135. C4⋊C8×C61C2×C4semidirect
357. #1767D61semidirect
415. C61#21507semidirect
474. C4⋊C8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399782
C2×#168398752
C2×#168398642
C4×#145197652
C42×D2442
#214467492
#214465892
#214464542
#214464402
#214461662
#214461522
#214458302
#214456502
#214456452
C61×#17672
#2150761