Finite Group Databasebeta

← #29700499

Subgroups — #29700499

Order 15616.

1058 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×#16839869C211yesmaximal, characteristic, complemented
2C2×#16839771C211yesmaximal, characteristic
3#21448850C211yesmaximal, characteristic
4Q8×C22⋊Dic61C211yesmaximal, characteristic
5#21446681C211yesmaximal, characteristic, complemented
6#21446511C211yesmaximal, characteristic, complemented
7#21446455C211yesmaximal, characteristic, complemented
8#21446253C211yesmaximal, characteristic
9#21446162C211yesmaximal, characteristic, complemented
10#21446162C211yesmaximal, characteristic, complemented
11#21446075C211yesmaximal, characteristic, complemented
12#21446020C211yesmaximal, characteristic
13#103×Dic61C211yesmaximal, characteristic, complemented
14#21445605C211yesmaximal, characteristic
15C2×C61×#451C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C2×Q8×Dic61C2211yescharacteristic
18C2×Q8×Dic61C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×#14519736C2211yescharacteristic
21#16839869—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24#16839771—24no—
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519687C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33#16839669—21no—
34#16839669—21no—
35#16839669C2211yescharacteristic
36#16839669C2211yescharacteristic
37#16839669C2211yescharacteristic
38#16839661C2211yescharacteristic
39#16839655—21no—
40#16839655—21no—
41#16839648—21no—
42#16839622—21no—
43#16839622C2211yescharacteristic
44C4⋊C4×Dic61—21no—
45C4⋊C4×Dic61C2211yescharacteristic
46C4×C22⋊Dic61—21no—
47C4×C22⋊Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C23×Q8×C61C2211yescharacteristic
55C22×Q16×C61C2211yescharacteristic
56C22×Q16×C61C2211yescharacteristic
57C2×C22⋊Q8×C61C2211yescharacteristic
58C61×#451C418yescomplemented
59C2×#103×C61C2211yescharacteristic
60C2×#103×C61C2211yescharacteristic
61C2×C22⋊C8×C61C2211yescharacteristic
62C2×#11758194—22no—
63C2×#11758194—22no—
64C2×#11758194—41no—
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67Q8×Dic61—22no—
68Q8×Dic61—22no—
69Q8×Dic61—22no—
70Q8×Dic61—41no—
71Q8×Dic61—41no—
72Q8×Dic61—41no—
73#14519736—22no—
74#14519736—41no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—21no—
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61D411yescharacteristic
86C2×C22⋊Dic61D411yescharacteristic
87C2×C4×Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61C2311yescharacteristic
93C2×C4×Dic61C2311yescharacteristic
94#14519711—41no—
95#14519709—22no—
96#14519701—22no—
97#14519701—22no—
98#14519701—22no—
99#14519701—22no—
100#14519701—41no—
101#14519701D414yes—
102#14519687—22no—
103C8×Dic61—41no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684D411yescharacteristic
114#14519684D411yescharacteristic
115C22×Q8×C61—21no—
116C22×Q8×C61—22no—
117C22×Q8×C61—22no—
118C22×Q8×C61—22no—
119C22×Q8×C61—41no—
120C22×Q8×C61—41no—
121C22×Q8×C61C2×C414yes—
122C22×Q8×C61C2311yescharacteristic
123C22×Q8×C61C2311yescharacteristic
124C22×Q8×C61C2311yescharacteristic
125C23×C4×C61—21no—
126C23×C4×C61C2311yescharacteristic
127C2×Q16×C61—22no—
128C2×Q16×C61—22no—
129C2×Q16×C61—41no—
130C2×Q16×C61—41no—
131C2×Q16×C61C2×C414yes—
132C2×Q16×C61C2×C414yes—
133C22×C8×C61C2311yescharacteristic
134C22×C8×C61C2311yescharacteristic
135C22⋊Q8×C61—22no—
136C22⋊Q8×C61C2×C414yes—
137C2×C4⋊C4×C61—21no—
138C2×C4⋊C4×C61C2311yescharacteristic
139C2×C22⋊C4×C61—21no—
140#103×C61C2×C414yes—
141#103×C61C2×C414yes—
142C22⋊C8×C61C2×C414yes—
143C24×C61C2×D411yescharacteristic
144C2×Q8×C61—24no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—28no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—42no—
160C2×Q8×C61—42no—
161C2×Q8×C61—44no—
162C2×Q8×C61—44no—
163C2×Q8×C61—44no—
164C2×Q8×C61C22×C412yes—
165C2×Q8×C61C22×C412yes—
166C2×Q8×C61C22×C412yes—
167C2×Q8×C61C2×D412yes—
168C2×Q8×C61#4112yes—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—24no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—42no—
179C22×C4×C61—42no—
180C22×C4×C61C22×C412yes—
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61#4112yes—
183C22×C4×C61C2411yescharacteristic
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—21no—
187C22×Dic61—21no—
188C22×Dic61C2×D411yescharacteristic
189C22×Dic61C2×D411yescharacteristic
190C22×Dic61C2×D411yescharacteristic
191C22×Dic61C2×D411yescharacteristic
192Q16×C61—28no—
193Q16×C61—44no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61C22×C412yes—
199C2×C8×C61C22×C412yes—
200C4⋊C4×C61—24no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61C22×C412yes—
203C22⋊C4×C61—24no—
204C22⋊Dic61—22no—
205C22⋊Dic61—41no—
206C22⋊Dic61—42no—
207C22⋊Dic61—42no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61—42no—
217C4⋊Dic61—42no—
218C4⋊Dic61—42no—
219C4⋊Dic61C2×D412yes—
220C4×Dic61—21no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—42no—
225C4×Dic61—42no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228C4×Dic61—42no—
229#11758194—44no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418C2×D412yes—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61C4×D412yes—
243C23×C61C22×D411yescharacteristic
244Q8×C61—22no—
245Q8×C61—22no—
246Q8×C61—22no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—48no—
252Q8×C61—41no—
253Q8×C61—41no—
254Q8×C61—41no—
255Q8×C61—41no—
256Q8×C61C4×D414yes—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—48no—
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×C61C4×D412yes—
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61#13712yes—
307C8×C61—22no—
308C8×C61—22no—
309#92418—22no—
310#92418—41no—
311#22869—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61C2×C4×D411yescharacteristic
320C22×C61D4211yescharacteristic
321C22×C61#54611yescharacteristic
322C22×C61C2×#13711yescharacteristic
323C22×C61#57511yescharacteristic
324C22×C61#57811yescharacteristic
325C22×C61#57811yescharacteristic
326C4×C61—22no—
327C4×C61—24no—
328C4×C61—42no—
329C4×C61—42no—
330C4×C61—42no—
331C4×C61C2×C4×D411yescharacteristic
332C4×C61#51811yescharacteristic
333C4×C61#54611yescharacteristic
334C4×C61#55111yescharacteristic
335Dic61—22no—
336Dic61—41no—
337Dic61—42no—
338Dic61—41no—
339Dic61—41no—
340Dic61—81no—
341Dic61—81no—
342Dic61—81no—
343C2×#451D6111yescharacteristic
344C2×#441—611no—
345C2×#419—611no—
346#2362—611no—
347Q8×C22⋊C4—611no—
348#1969—611no—
349#1935—611no—
350#1927—611no—
351#1894—611no—
352#1878—611no—
353#1878—611no—
354#1863—611no—
355#1854—611no—
356C4×#103—611no—
357#1753—611no—
358C2×C61—42no—
359C2×C61#235811yescharacteristic
360C2×C61C4×#13711yescharacteristic
361C2×C61#295011yescharacteristic
362C2×C61#327611yescharacteristic
363C2×C61#327711yescharacteristic
364C2×C61#331211yescharacteristic
365C2×C61#331311yescharacteristic
366C23×Q8C2×D6111yescharacteristic
367C22×Q16C2×D6111yescharacteristic
368C22×Q16C2×D6111yescharacteristic
369C22×M16—611no—
370C2×C22⋊Q8C2×D6111yescharacteristic
371C2×C4×Q8—611no—
372C2×C4×Q8—611no—
373C2×C4×Q8—611no—
374C2×#117—611no—
375#451Dic6118yescomplemented
376#441—1224no—
377C2×#107—611no—
378C2×#106—611no—
379#419—1224no—
380C2×#103—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#103C2×D6111yescharacteristic
387C2×#103C2×D6111yescharacteristic
388C2×C22⋊C8C2×D6111yescharacteristic
389C2×#97—611no—
390C2×C4×C8—611no—
391#391—611no—
392#391—611no—
393#391—611no—
394#391—1221no—
395#391—1221no—
396#389—611no—
397#388—1221no—
398#388—1221no—
399#387—1221no—
400#380—611no—
401#380—1221no—
402C4×C4⋊C4—611no—
403C4×C4⋊C4—1221no—
404C4×C22⋊C4—611no—
405C4×C22⋊C4—1221no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2286911yescharacteristic, complemented, Sylow
413C22×Q8—21no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8C2×Dic6114yes—
420C22×Q8C22×D6111yescharacteristic
421C22×Q8C22×D6111yescharacteristic
422C22×Q8C22×D6111yescharacteristic
423C23×C4—21no—
424C23×C4C22×D6111yescharacteristic
425C2×Q16—22no—
426C2×Q16—22no—
427C2×Q16—41no—
428C2×Q16—41no—
429C2×Q16C2×Dic6114yes—
430C2×Q16C2×Dic6114yes—
431C2×M16—1222no—
432C2×M16—1222no—
433C2×M16—2441no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8C22×D6111yescharacteristic
437C22×C8C22×D6111yescharacteristic
438C22⋊Q8—22no—
439C22⋊Q8C2×Dic6114yes—
440C4×Q8—1222no—
441C4×Q8—1222no—
442C4×Q8—1222no—
443C4×Q8—2441no—
444C4×Q8—2441no—
445C4×Q8—2441no—
446#117—1222no—
447#117—2441no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—611no—
460C2×C22⋊C4—611no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—1221no—
470#107—2441no—
471#106—1222no—
472#103—614no—
473#103—1222no—
474#103—1222no—
475#103—1222no—
476#103—1222no—
477#103—2441no—
478#103C2×Dic6114yes—
479#103C2×Dic6114yes—
480C22⋊C8C2×Dic6114yes—
481#97—1222no—
482C4×C8—2441no—
483#95—611no—
484#95—611no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494C24D4×D6111yescharacteristic
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—24no—
501C2×Q8—28no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—42no—
511C2×Q8—42no—
512C2×Q8—44no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8D4×D6112yes—
516C2×Q8#1175822412yes—
517C2×Q8C22×Dic6112yes—
518C2×Q8C22×Dic6112yes—
519C2×Q8C22×Dic6112yes—
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—24no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4D4×D6111yescharacteristic
540C22×C4#1175822412yes—
541C22×C4C22×Dic6112yes—
542C22×C4C23×D6111yescharacteristic
543Q16—28no—
544Q16—44no—
545M16—2444no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—612no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8C22×Dic6112yes—
557C2×C8C22×Dic6112yes—
558C4⋊C4—21no—
559C4⋊C4—24no—
560C4⋊C4—612no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—2442no—
569C4⋊C4—2442no—
570C4⋊C4—2442no—
571C4⋊C4—2442no—
572C4⋊C4C22×Dic6112yes—
573C22⋊C4—24no—
574C22⋊C4—1222no—
575C22⋊C4—2441no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C42—1221no—
579C42—1221no—
580C42—1221no—
581C42—1221no—
582C42—2442no—
583C42—2442no—
584C42—2442no—
585C42—2442no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23D4×Dic6112yes—
594C23C2×D4×D6111yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8—48no—
603Q8—41no—
604Q8—41no—
605Q8—41no—
606Q8—41no—
607Q8D4×Dic6114yes—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—48no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—612no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1222no—
639C2×C4—1221no—
640C2×C4—2441no—
641C2×C4—2441no—
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×C4D4×Dic6112yes—
652C2×C4C23×Dic6111yescharacteristic
653C2×C4C2×D4×D6111yescharacteristic
654C2×C4C2×#1175822411yescharacteristic
655C2×C4C2×#1175822411yescharacteristic
656C2×C4#1451982211yescharacteristic
657C2×C4#1451982211yescharacteristic
658C8—22no—
659C8—22no—
660C8—1222no—
661C8—2441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×D4×Dic6111yescharacteristic
670C22#1684039411yescharacteristic
671C22#1684039911yescharacteristic
672C22#137×D6111yescharacteristic
673C22#1684056111yescharacteristic
674C22#1684057511yescharacteristic
675C22#1684057511yescharacteristic
676C4—22no—
677C4—24no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—1222no—
682C4—4881no—
683C4—4881no—
684C4—4881no—
685C4—2441no—
686C4—2442no—
687C4—2441no—
688C4—2441no—
689C4C2×D4×Dic6111yescharacteristic
690C4#1684023711yescharacteristic
691C4#1684039911yescharacteristic
692C4#1684044311yescharacteristic
693C2—42no—
694C2#2144880311yescharacteristic
695C2#137×Dic6111yescharacteristic
696C2#2145468711yescharacteristic
697C2#2145745811yescharacteristic
698C2#2145747611yescharacteristic
699C2#2145786311yescharacteristic
700C2#2145787811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#451C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
cosocleC22×C4×C61C24
hypercenterC2×#451D61
hypocenterC61#22869
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
1. C2×#16839869C2semidirect
5. #21446681C2semidirect
6. #21446511C2semidirect
7. #21446455C2semidirect
9. #21446162C2semidirect
10. #21446162C2semidirect
11. #21446075C2semidirect
13. #103×Dic61C2semidirect
58. C61×#451C4semidirect
375. #451Dic61semidirect
412. C61#22869semidirect

Maximal subgroups

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

subgroupindex
C2×#168398692
C2×#168397712
#214488502
Q8×C22⋊Dic612
#214466812
#214465112
#214464552
#214462532
#214461622
#214460752
#214460202
#103×Dic612
#214456052
C2×C61×#4512
#2286961