Finite Group Databasebeta

← #29702301

Subgroups — #29702301

Order 15616.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic61C211yesmaximal, characteristic, complemented
2C2×D8×Dic61C211yesmaximal, characteristic
3#21448894C211yesmaximal, characteristic, complemented
4#21448729C211yesmaximal, characteristic, complemented
5#21446631C211yesmaximal, characteristic, complemented
6#21446589C211yesmaximal, characteristic, complemented
7#21446504C211yesmaximal, characteristic, complemented
8#21446497C211yesmaximal, characteristic, complemented
9#21446169C211yesmaximal, characteristic
10#21446155C211yesmaximal, characteristic, complemented
11#21446082C211yesmaximal, characteristic, complemented
12#21446075C211yesmaximal, characteristic, complemented
13#21445684C211yesmaximal, characteristic, complemented
14C4×#14519698C211yesmaximal, characteristic, complemented
15C2×C61×#463C211yesmaximal, characteristic
16C2×Q8×Dic61C2211yescharacteristic
17C2×D4×Dic61C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20SD16×Dic61—24no—
21D8×Dic61—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×#14519701C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×C4×#92418C2211yescharacteristic
31C2×C8×Dic61C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33#16839669C2211yescharacteristic
34#16839665C2211yescharacteristic
35#16839661C2211yescharacteristic
36#16839661C2211yescharacteristic
37#16839655—21no—
38#16839655—21no—
39#16839637—21no—
40#16839637—21no—
41#16839637—21no—
42#16839628C2211yescharacteristic
43#16839622—21no—
44C4×C4⋊Dic61C2211yescharacteristic
45C4×C4⋊Dic61C2211yescharacteristic
46C22⋊C4×Dic61—21no—
47C2×#14519684—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C22×D8×C61C2211yescharacteristic
56C2×#124×C61C2211yescharacteristic
57C2×C4×D4×C61C2211yescharacteristic
58C61×#463C418yescomplemented
59C2×C4⋊C8×C61C2211yescharacteristic
60C2×#103×C61C2211yescharacteristic
61C2×#102×C61C2211yescharacteristic
62C23×Dic61—21no—
63C23×Dic61—21no—
64C23×Dic61—21no—
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67Q8×Dic61—22no—
68Q8×Dic61—41no—
69D4×Dic61—22no—
70D4×Dic61—22no—
71D4×Dic61—22no—
72D4×Dic61—41no—
73D4×Dic61—41no—
74D4×Dic61—41no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61D411yescharacteristic
79C2×C4⋊Dic61D411yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61C2311yescharacteristic
92C2×C4×Dic61C2311yescharacteristic
93#14519711—22no—
94#14519709—22no—
95#14519701—22no—
96#14519701—41no—
97#14519698—22no—
98#14519698—22no—
99#14519698—41no—
100#14519698D414yes—
101C4×#92418—22no—
102C8×Dic61—22no—
103C8×Dic61—22no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684D411yescharacteristic
112#14519684D411yescharacteristic
113C22×Q8×C61C2311yescharacteristic
114C22×D4×C61C2311yescharacteristic
115C22×D4×C61C2311yescharacteristic
116C23×C4×C61—21no—
117C2×SD16×C61—22no—
118C2×SD16×C61—22no—
119C2×SD16×C61C2×C414yescomplemented
120C2×D8×C61—22no—
121C2×D8×C61—22no—
122C2×D8×C61C2×C414yes—
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125#124×C61—22no—
126#124×C61C2×C414yescomplemented
127C4×D4×C61—22no—
128C4×D4×C61C2×C414yescomplemented
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C42×C61C2311yescharacteristic
134C4⋊C8×C61C2×C414yescomplemented
135#103×C61C2×C414yescomplemented
136#102×C61C2×C414yescomplemented
137C24×C61—21no—
138C24×C61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61C22×C412yes—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61C22×C412yes—
154C2×D4×C61C22×C412yes—
155C2×D4×C61C2×D412yes—
156C2×D4×C61#4112yes—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—24no—
160C22×C4×C61—81no—
161C22×C4×C61—81no—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2411yescharacteristic
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61—42no—
175C22×Dic61—81no—
176C22×Dic61—81no—
177C22×Dic61—81no—
178C22×Dic61C2×D411yescharacteristic
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182SD16×C61—28no—
183D8×C61—28no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61C22×C412yes—
189C2×C8×C61C22×C412yes—
190C4⋊C4×C61—21no—
191C4⋊C4×C61C22×C412yes—
192C22⋊C4×C61—24no—
193C22⋊C4×C61—24no—
194C22⋊C4×C61—24no—
195C42×C61C22×C412yes—
196C42×C61#4112yes—
197C22⋊Dic61—42no—
198C22⋊Dic61—42no—
199C22⋊Dic61—42no—
200C22⋊Dic61—42no—
201C22⋊Dic61—81no—
202C4⋊Dic61—21no—
203C4⋊Dic61—22no—
204C4⋊Dic61—22no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—42no—
212C4⋊Dic61—81no—
213C4⋊Dic61—81no—
214C4⋊Dic61C2×D412yes—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218C4×Dic61—21no—
219C4×Dic61—42no—
220C4×Dic61—81no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418C2×D412yes—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61C22×D411yescharacteristic
242Q8×C61—22no—
243Q8×C61—22no—
244Q8×C61—41no—
245Q8×C61—41no—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—22no—
250D4×C61—22no—
251D4×C61—41no—
252D4×C61—41no—
253D4×C61C4×D414yes—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—84no—
265C2×C4×C61C4×D412yes—
266C2×C4×C61C4×D412yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—22no—
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—84no—
296C2×Dic61—84no—
297C2×Dic61—84no—
298C2×Dic61#13512yes—
299C2×Dic61#13512yes—
300C8×C61—22no—
301C8×C61—22no—
302#92418—22no—
303#92418—41no—
304#22999—611nomaximal, Sylow
305C22×C61—24no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61C2×C4×D411yescharacteristic
320C22×C61D4211yescharacteristic
321C22×C61#54811yescharacteristic
322C22×C61C2×#13511yescharacteristic
323C22×C61C2×#13511yescharacteristic
324C22×C61#57611yescharacteristic
325C22×C61#57711yescharacteristic
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—42no—
329C4×C61—42no—
330C4×C61C2×C4×D411yescharacteristic
331C4×C61#52011yescharacteristic
332C4×C61#54711yescharacteristic
333C4×C61#55311yescharacteristic
334Dic61—22no—
335Dic61—22no—
336Dic61—41no—
337Dic61—42no—
338Dic61—41no—
339Dic61—81no—
340Dic61—81no—
341Dic61—81no—
342C2×#463D6111yescharacteristic
343C2×C4×SD16—611no—
344C2×C4×D8—611no—
345#2367—611no—
346#2349—611no—
347#1958—611no—
348#1949—611no—
349#1934—611no—
350#1933—611no—
351#1879—611no—
352#1877—611no—
353#1864—611no—
354#1863—611no—
355C8×C4⋊C4—611no—
356C4×#102—611no—
357C2×C61—44no—
358C2×C61—82no—
359C2×C61#236111yescharacteristic
360C2×C61C4×#13511yescharacteristic
361C2×C61#294611yescharacteristic
362C2×C61#328011yescharacteristic
363C2×C61#328211yescharacteristic
364C2×C61#336011yescharacteristic
365C2×C61#336111yescharacteristic
366C22×SD16C2×D6111yescharacteristic
367C22×D8C2×D6111yescharacteristic
368C2×#124C2×D6111yescharacteristic
369C2×C4×Q8—611no—
370C2×C4×D4—611no—
371C2×C4×D4—611no—
372C2×C4×D4—611no—
373C2×C4×D4C2×D6111yescharacteristic
374#463Dic6118yescomplemented
375C4×SD16—1224no—
376C4×D8—1224no—
377C2×#107—611no—
378C2×#106—611no—
379C2×C4⋊C8C2×D6111yescharacteristic
380C2×#103—611no—
381C2×#103—611no—
382C2×#103C2×D6111yescharacteristic
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102C2×D6111yescharacteristic
388C2×C4×C8—611no—
389C2×C4×C8—611no—
390C2×C4×C8—611no—
391#391—611no—
392#390—611no—
393#389—611no—
394#389—611no—
395#388—1221no—
396#388—1221no—
397#385—1221no—
398#385—1221no—
399#385—1221no—
400#382—611no—
401#380—1221no—
402C4×C4⋊C4—611no—
403C4×C4⋊C4—611no—
404C4×C22⋊C4—1221no—
405C2×#95—1221no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2299911yescharacteristic, complemented, Sylow
413C22×Q8C22×D6111yescharacteristic
414C22×D4C22×D6111yescharacteristic
415C22×D4C22×D6111yescharacteristic
416C23×C4—21no—
417C23×C4—1221no—
418C23×C4—1221no—
419C23×C4—1221no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16C2×Dic6114yescomplemented
423C2×D8—22no—
424C2×D8—22no—
425C2×D8C2×Dic6114yes—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430#124—22no—
431#124C2×Dic6114yescomplemented
432C4×Q8—1222no—
433C4×Q8—2441no—
434C4×D4—22no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—2441no—
439C4×D4—2441no—
440C4×D4—2441no—
441C4×D4C2×Dic6114yescomplemented
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4C22×D6111yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—1221no—
463C2×C42—1221no—
464C2×C42C22×D6111yescharacteristic
465#107—1222no—
466#106—1222no—
467C4⋊C8C2×Dic6114yescomplemented
468#103—1222no—
469#103—2441no—
470#103C2×Dic6114yescomplemented
471#102—614no—
472#102—1222no—
473#102—1222no—
474#102—2441no—
475#102C2×Dic6114yescomplemented
476C4×C8—1222no—
477C4×C8—1222no—
478C4×C8—1222no—
479#95—611no—
480#95—611no—
481#95—1221no—
482#95—1221no—
483#95—1221no—
484#95—1221no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488C24—21no—
489C24—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C22×Dic6112yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4D4×D6112yes—
505C2×D4#1175822412yes—
506C2×D4C22×Dic6112yes—
507C2×D4C22×Dic6112yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—4881no—
522C22×C4—4881no—
523C22×C4—4881no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4D4×D6111yescharacteristic
531C22×C4D4×D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533SD16—28no—
534D8—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—612no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8C22×Dic6112yes—
546C2×C8C22×Dic6112yes—
547C4⋊C4—21no—
548C4⋊C4—612no—
549C4⋊C4—1222no—
550C4⋊C4—1222no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—4881no—
559C4⋊C4—4881no—
560C4⋊C4—2442no—
561C4⋊C4C22×Dic6112yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—4881no—
566C22⋊C4—2442no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—1221no—
571C42—1221no—
572C42—1221no—
573C42—1221no—
574C42—4881no—
575C42—2442no—
576C42#1175822412yes—
577C42C22×Dic6112yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D6111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—22no—
602D4—41no—
603D4—41no—
604D4D4×Dic6114yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4—612no—
617C2×C4—612no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1222no—
629C2×C4—4884no—
630C2×C4—4884no—
631C2×C4—4884no—
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×C4D4×Dic6112yes—
644C2×C4D4×Dic6112yes—
645C2×C4C23×Dic6111yescharacteristic
646C2×C4C2×D4×D6111yescharacteristic
647C2×C4C2×#1175822411yescharacteristic
648C2×C4C2×#1175822411yescharacteristic
649C2×C4#1451982311yescharacteristic
650C2×C4#1451982411yescharacteristic
651C8—22no—
652C8—22no—
653C8—1222no—
654C8—2441no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×D4×Dic6111yescharacteristic
670C22#1684039611yescharacteristic
671C22#1684041811yescharacteristic
672C22#135×D6111yescharacteristic
673C22#135×D6111yescharacteristic
674C22#1684056611yescharacteristic
675C22#1684057211yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—1222no—
681C4—1222no—
682C4—4881no—
683C4—4881no—
684C4—4881no—
685C4—2441no—
686C4—2442no—
687C4—2441no—
688C4C2×D4×Dic6111yescharacteristic
689C4#1684024511yescharacteristic
690C4#1684041211yescharacteristic
691C4#1684046411yescharacteristic
692C2—44no—
693C2—82no—
694C2#2144883911yescharacteristic
695C2#135×Dic6111yescharacteristic
696C2#2145465211yescharacteristic
697C2#2145749911yescharacteristic
698C2#2145753211yescharacteristic
699C2#2145846311yescharacteristic
700C2#2145847411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#463C2
socleC23×C61C22×D4
prime radicalC22×D8×C61C22
cosocleC22×C4×C61C24
hypercenterC2×#463D61
hypocenterC61#22999
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
1. C2×SD16×Dic61C2semidirect
3. #21448894C2semidirect
4. #21448729C2semidirect
5. #21446631C2semidirect
6. #21446589C2semidirect
7. #21446504C2semidirect
8. #21446497C2semidirect
10. #21446155C2semidirect
11. #21446082C2semidirect
12. #21446075C2semidirect
13. #21445684C2semidirect
14. C4×#14519698C2semidirect
58. C61×#463C4semidirect
119. C2×SD16×C61C2×C4semidirect
126. #124×C61C2×C4semidirect
128. C4×D4×C61C2×C4semidirect
134. C4⋊C8×C61C2×C4semidirect
135. #103×C61C2×C4semidirect
136. #102×C61C2×C4semidirect
374. #463Dic61semidirect
412. C61#22999semidirect
422. C2×SD16C2×Dic61semidirect
431. #124C2×Dic61semidirect
441. C4×D4C2×Dic61semidirect
467. C4⋊C8C2×Dic61semidirect
470. #103C2×Dic61semidirect
475. #102C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic612
C2×D8×Dic612
#214488942
#214487292
#214466312
#214465892
#214465042
#214464972
#214461692
#214461552
#214460822
#214460752
#214456842
C4×#145196982
C2×C61×#4632
#2299961