Finite Group Databasebeta

← #29601910

Subgroups — #29601910

Order 15616.

2590 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519737C211yesmaximal, characteristic
2C22×#14519734C211yesmaximal, characteristic, complemented
3C2×#16839621C211yesmaximal, characteristic, complemented
4C2×#16839620C212yesmaximal, complemented
5#21444067C212yesmaximal, complemented
6#21444058C212yesmaximal
7#21444056C211yesmaximal, characteristic, complemented
8#21444054C211yesmaximal, characteristic, complemented
9#21444052C211yesmaximal, characteristic, complemented
10#21444047C212yesmaximal, complemented
11C61×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×#14519737—24no—
16C2×#14519737—24no—
17C2×#14519737C418yescomplemented
18C2×#14519734—28no—
19C2×#14519734—24no—
20C22×#11758196C2212yes—
21C22×#11758196C2211yescharacteristic
22C22×#11758196C2212yes—
23C22×C22⋊Dic61C2212yes—
24C22×#11758198C2212yes—
25C22×#11758198C2211yescharacteristic
26C22×#11758198C2212yes—
27C22×C4×Dic61C2211yescharacteristic
28C22×C4×Dic61C2211yescharacteristic
29#16839621—24no—
30#16839620—28no—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2211yescharacteristic
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C2×#14519684C2212yes—
37C22×C22⋊C4×C61C2212yes—
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C42×C61C2211yescharacteristic
40C2×#95×C61C2211yescharacteristic
41C2×#95×C61C2212yes—
42C24×D61C2311yescharacteristic
43C22×C22⋊D61—24no—
44C22×C22⋊D61—22no—
45C22×C22⋊D61—22no—
46C22×C22⋊D61—24no—
47C22×C22⋊D61C2×C414yes—
48C23×Dic61—22no—
49C23×Dic61—22no—
50C23×Dic61—24no—
51C23×Dic61—24no—
52C23×Dic61C2×C414yes—
53C23×Dic61C2312yes—
54C23×Dic61C2311yescharacteristic
55C23×Dic61C2312yes—
56C23×Dic61C2311yescharacteristic
57C23×Dic61C2311yescharacteristic
58C22×C4×D61—24no—
59C22×C4×D61—24no—
60C22×C4×D61C2×C414yes—
61C22×C4×D61D414yes—
62C22×C4×D61D414yes—
63#14519737—232no—
64#14519734—232no—
65C2×#11758196—22no—
66C2×#11758196—22no—
67C2×#11758196—24no—
68C2×#11758196—24no—
69C2×#11758196—24no—
70C2×#11758196—24no—
71C2×#11758196—24no—
72C2×#11758196C2×C414yes—
73C2×#11758196D418yescomplemented
74C2×C22⋊Dic61—24no—
75C2×C22⋊Dic61—24no—
76C2×C22⋊Dic61—42no—
77C2×#11758198—24no—
78C2×#11758198—22no—
79C2×#11758198—22no—
80C2×#11758198—24no—
81C2×#11758198—24no—
82C2×#11758198—24no—
83C2×#11758198—42no—
84C2×#11758198—42no—
85C2×#11758198C2×C414yes—
86C2×C4×Dic61—22no—
87C2×C4×Dic61—24no—
88C2×C4×Dic61—22no—
89C2×C4×Dic61—22no—
90C2×C4×Dic61C2×C414yes—
91#14519684—24no—
92#14519684—22no—
93#14519684—24no—
94#14519684—24no—
95#14519684—24no—
96#14519684—42no—
97C25×C61C2311yescharacteristic
98C23×C4×C61C2312yes—
99C23×C4×C61C2311yescharacteristic
100C23×C4×C61C2312yes—
101C23×C4×C61C2311yescharacteristic
102C2×C22⋊C4×C61—22no—
103C2×C22⋊C4×C61—22no—
104C2×C22⋊C4×C61—24no—
105C2×C22⋊C4×C61—24no—
106C2×C22⋊C4×C61—42no—
107C2×C22⋊C4×C61C2×C414yes—
108C2×C42×C61—24no—
109C2×C42×C61—22no—
110#95×C61—22no—
111#95×C61—42no—
112C24×C61—21no—
113C24×C61—21no—
114C24×C61—22no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61—22no—
118C24×C61—22no—
119C24×C61C22×C412yes—
120C24×C61#4114yes—
121C24×C61C2411yescharacteristic
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61—22no—
128C23×D61C22×C412yes—
129C23×D61C2×D412yes—
130C23×D61C2×D412yes—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D414yes—
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2×D412yes—
155C2×C22⋊D61—216no—
156C2×C22⋊D61—216no—
157C2×C22⋊D61—28no—
158C2×C22⋊D61—28no—
159C2×C22⋊D61—28no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—28no—
174C22×Dic61—216no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—44no—
183C22×Dic61—48no—
184C22×Dic61—44no—
185C22×Dic61C22×C412yes—
186C22×Dic61C22×C412yes—
187C22×Dic61C22×C412yes—
188C22×Dic61C2×D414yes—
189C22×Dic61C2×D412yes—
190C22×Dic61C2×D412yes—
191C22×Dic61C2×D414yes—
192C22×Dic61#4114yes—
193C22×Dic61#4114yes—
194C2×C4×D61—216no—
195C2×C4×D61—28no—
196C2×C4×D61—216no—
197C2×C4×D61—28no—
198C2×C4×D61C22⋊C4116yescomplemented
199C22⋊C4×C61—28no—
200C22⋊C4×C61—48no—
201C42×C61—28no—
202C22⋊Dic61—48no—
203#11758198—216no—
204#11758198—28no—
205#11758198—48no—
206#11758196—28no—
207#11758196—216no—
208#11758196—48no—
209C4×Dic61—28no—
210C4×Dic61—28no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61—41no—
222C23×C61—42no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61—42no—
227C23×C61—42no—
228C23×C61—42no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61#11714yescomplemented
232C23×C61C23×C411yescharacteristic
233C23×C61C22×D411yescharacteristic
234C23×C61C22×D411yescharacteristic
235C23×C61C22×D412yes—
236C23×C61C2×#4112yes—
237C23×C61C2×#4112yes—
238C23×C61C2×#4112yes—
239C23×C61H(5,𝔽2)12yes—
240C23×C612−1+412yes—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—24no—
244C22×D61—24no—
245C22×D61—22no—
246C22×D61—24no—
247C22×D61—22no—
248C22×D61—24no—
249C22×D61—24no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—24no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61C2×C22⋊C414yes—
262C2×C4×C61—24no—
263C2×C4×C61—22no—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—42no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61C2×C22⋊C414yes—
286C22⋊D61—232no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—41no—
297C2×Dic61—42no—
298C2×Dic61—41no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—416no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61C2×C22⋊C414yes—
312C2×Dic61#11714yescomplemented
313C2×Dic61C4×D418yes—
314C2×Dic61#12014yes—
315C2×Dic61#12118yes—
316C2×Dic61#12314yes—
317C4×D61—232no—
318#13871—611nomaximal, Sylow
319C22×C61—28no—
320C22×C61—24no—
321C22×C61—42no—
322C22×C61—44no—
323C22×C61—44no—
324C22×C61—44no—
325C22×C61—44no—
326C22×C61—44no—
327C22×C61—42no—
328C22×C61C22×C22⋊C411yescharacteristic
329C22×C61C2×#11711yescharacteristic
330C22×C61C2×#11711yescharacteristic
331C22×C61C2×C4×D412yes—
332C22×C61#52012yes—
333C22×C61C2×#12011yescharacteristic
334C22×C61C2×#12112yes—
335C22×C61C2×#12311yescharacteristic
336C22×C61#52512yes—
337C22×C61#52512yes—
338C22×C61#53511yescharacteristic
339C22×C61#53611yescharacteristic
340C22×C61#53712yes—
341C22×C61#54612yes—
342C22×C61#54712yes—
343C22×C61#54812yes—
344C22×C61#55012yes—
345C22×C61#55212yes—
346C22×C61#55312yes—
347C22×C61#55512yes—
348C22×C61#55612yes—
349C2×D61—24no—
350C2×D61—24no—
351C2×D61—24no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—44no—
357C2×D61—44no—
358C4×C61—24no—
359C4×C61—42no—
360C4×C61—44no—
361C4×C61—82no—
362Dic61—24no—
363Dic61—44no—
364Dic61—42no—
365Dic61—82no—
366Dic61#38618yes—
367C22×C4×D4—611no—
368C22×#117—611no—
369C2×#380—611no—
370C2×#380—612no—
371#1440—612no—
372#1438—612no—
373#1437—611no—
374#1437D6111yescharacteristic, complemented
375#1436—611no—
376#1436—611no—
377C4⋊#95—612no—
378C2×C61—44no—
379C2×C61#228011yescharacteristic
380C2×C61C2×#38611yescharacteristic
381C2×C61#231111yescharacteristic
382C2×C61#235212yes—
383C2×C61#235412yes—
384C2×C61#240712yes—
385C2×C61#241412yes—
386C2×C61#241512yes—
387C2×C61#248512yes—
388D61—44no—
389C23×D4—611no—
390C24×C4—611no—
391C24×C4—611no—
392C2×C4×D4—618no—
393C2×C4×D4—1224no—
394C2×C4×D4—1224no—
395C2×#117—1228no—
396C2×#117—1224no—
397C22×C4⋊C4—612no—
398C22×C4⋊C4—611no—
399C22×C4⋊C4—612no—
400C22×C22⋊C4—611no—
401C22×C22⋊C4—612no—
402C22×C22⋊C4—612no—
403C22×C22⋊C4—612no—
404C22×C22⋊C4C2×D6112yes—
405C22×C22⋊C4C2×D6111yescharacteristic
406C22×C42—611no—
407C22×C42—611no—
408C22×C42C2×D6111yescharacteristic
409#380—1224no—
410#380—1228no—
411C2×#95—612no—
412C2×#95—612no—
413C2×#95—611no—
414C2×#95—612no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95C2×D6111yescharacteristic
418C2×#95C2×D6112yes—
419C61#1387111yescharacteristic, complemented, Sylow
420C25—611no—
421C25C22×D6111yescharacteristic
422C22×D4—614no—
423C22×D4—1224no—
424C22×D4—1222no—
425C22×D4—1222no—
426C22×D4—1224no—
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—614no—
430C23×C4—614no—
431C23×C4—614no—
432C23×C4—614no—
433C23×C4—612no—
434C23×C4—611no—
435C23×C4—612no—
436C23×C4—1224no—
437C23×C4—1224no—
438C23×C4—1222no—
439C23×C4—1222no—
440C23×C4—1224no—
441C23×C4—1224no—
442C23×C4C22×D6112yes—
443C23×C4C22×D6111yescharacteristic
444C23×C4C22×D6112yes—
445C23×C4C22×D6111yescharacteristic
446C4×D4—12232no—
447#117—12232no—
448C2×C4⋊C4—614no—
449C2×C4⋊C4—618no—
450C2×C4⋊C4—1224no—
451C2×C4⋊C4—1224no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1224no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—1224no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—42no—
462C2×C22⋊C4—614no—
463C2×C22⋊C4—1224no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1222no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—1224no—
471C2×C22⋊C4—2442no—
472C2×C22⋊C4—2442no—
473C2×C22⋊C4—2442no—
474C2×C22⋊C4C4×D6114yes—
475C2×C42—24no—
476C2×C42—22no—
477C2×C42—614no—
478C2×C42—1224no—
479C2×C42—1222no—
480C2×C42—1222no—
481C2×C42—1222no—
482#95—22no—
483#95—42no—
484#95—1224no—
485#95—1224no—
486#95—1224no—
487#95—1224no—
488#95—1222no—
489#95—2442no—
490C24—22no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—612no—
498C24—612no—
499C24—612no—
500C24—1222no—
501C24—1222no—
502C24—1222no—
503C24—1222no—
504C24—1222no—
505C24—1222no—
506C24C2×C4×D6112yes—
507C24#1175822214yes—
508C24C23×D6111yescharacteristic
509C2×D4—1228no—
510C2×D4—1228no—
511C2×D4—12216no—
512C2×D4—12216no—
513C2×D4—1228no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—614no—
537C22×C4—614no—
538C22×C4—612no—
539C22×C4—614no—
540C22×C4—6116no—
541C22×C4—612no—
542C22×C4—614no—
543C22×C4—1228no—
544C22×C4—12216no—
545C22×C4—12216no—
546C22×C4—1228no—
547C22×C4—1228no—
548C22×C4—12216no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—2444no—
570C22×C4—2448no—
571C22×C4—2444no—
572C22×C4C2×C4×D6112yes—
573C22×C4C2×C4×D6112yes—
574C22×C4D4×D6114yes—
575C22×C4D4×D6112yes—
576C22×C4D4×D6112yes—
577C4⋊C4—12216no—
578C4⋊C4—1228no—
579C4⋊C4—2448no—
580C22⋊C4—28no—
581C22⋊C4—48no—
582C22⋊C4—1228no—
583C22⋊C4—12216no—
584C22⋊C4—2448no—
585C22⋊C4—2448no—
586C42—28no—
587C42—1228no—
588C42—1228no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—614no—
610C23—1222no—
611C23—1222no—
612C23—1224no—
613C23—1224no—
614C23—1222no—
615C23—1224no—
616C23—1222no—
617C23—1224no—
618C23—1224no—
619C23—1222no—
620C23—1222no—
621C23—1224no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2442no—
629C23—2442no—
630C23#1451973414yescomplemented
631C23C22×C4×D6111yescharacteristic
632C23C2×D4×D6111yescharacteristic
633C23C2×D4×D6111yescharacteristic
634C23C2×D4×D6112yes—
635C23#41×D6112yes—
636C23#41×D6112yes—
637C23C2×#1175822212yes—
638C23#1451982212yes—
639C23#1451982412yes—
640D4—12232no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—614no—
665C2×C4—618no—
666C2×C4—614no—
667C2×C4—618no—
668C2×C4—614no—
669C2×C4—614no—
670C2×C4—12232no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1224no—
674C2×C4—1224no—
675C2×C4—1222no—
676C2×C4—1224no—
677C2×C4—1224no—
678C2×C4—1224no—
679C2×C4—1224no—
680C2×C4—24416no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4—2442no—
687C2×C4—2442no—
688C2×C4—2441no—
689C2×C4—2442no—
690C2×C4—2441no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4C22⋊C4×D6114yes—
696C22—24no—
697C22—28no—
698C22—44no—
699C22—44no—
700C22—42no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—42no—
705C22—1224no—
706C22—1224no—
707C22—1224no—
708C22—2444no—
709C22—2444no—
710C22—2444no—
711C22—2444no—
712C22—2444no—
713C22—2444no—
714C22C2×C22⋊C4×D6111yescharacteristic
715C22#117×D6111yescharacteristic
716C22C2×#1451973411yescharacteristic
717C22C4×D4×D6112yes—
718C22#1684024112yes—
719C22#120×D6111yescharacteristic
720C22#121×D6112yes—
721C22#123×D6111yescharacteristic
722C22#1684027112yes—
723C22#1684027112yes—
724C22#1684032511yescharacteristic
725C22#1684033211yescharacteristic
726C22#1684034112yes—
727C22#1684040212yes—
728C22#1684041012yes—
729C22#1684042112yes—
730C22#1684043012yes—
731C22#1684044512yes—
732C22#1684046112yes—
733C22#1684047412yes—
734C22#1684047912yes—
735C4—24no—
736C4—44no—
737C4—42no—
738C4—82no—
739C4—618no—
740C4—1224no—
741C4—4882no—
742C4—2442no—
743C4—2444no—
744C2—44no—
745C2—2444no—
746C2#2144820011yescharacteristic
747C2#386×D6111yescharacteristic
748C2#2144840911yescharacteristic
749C2#2144874212yes—
750C2#2144876512yes—
751C2#2144916112yes—
752C2#2144923412yes—
753C2#2144924512yes—
754C2#2145011312yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1437C2
socle, cosocleC24×C61C24
prime radicalC23×C22⋊D61C22
hypercenter#1437D61
hypocenterC61#13871
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C22×#14519734C2semidirect
3. C2×#16839621C2semidirect
4. C2×#16839620C2semidirect
5. #21444067C2semidirect
7. #21444056C2semidirect
8. #21444054C2semidirect
9. #21444052C2semidirect
10. #21444047C2semidirect
11. C61×#1437C2semidirect
17. C2×#14519737C4semidirect
73. C2×#11758196D4semidirect
198. C2×C4×D61C22⋊C4semidirect
231. C23×C61#117semidirect
312. C2×Dic61#117semidirect
374. #1437D61semidirect
419. C61#13871semidirect
630. C23#14519734semidirect

Maximal subgroups

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

subgroupindex
C22×#145197372
C22×#145197342
C2×#168396212
C2×#168396202
#214440672
#214440582
#214440562
#214440542
#214440522
#214440472
C61×#14372
#1387161