Finite Group Databasebeta

← #29686308

Subgroups — #29686308

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×#16839874C211yesmaximal, characteristic
2C2×#16839863C211yesmaximal, characteristic, complemented
3#124×Dic61C211yesmaximal, characteristic, complemented
4C4×D4×Dic61C211yesmaximal, characteristic, complemented
5#21446752C211yesmaximal, characteristic, complemented
6#21446589C211yesmaximal, characteristic, complemented
7#21446455C211yesmaximal, characteristic, complemented
8#21446441C211yesmaximal, characteristic, complemented
9#21446169C211yesmaximal, characteristic
10#21446155C211yesmaximal, characteristic, complemented
11#21445829C211yesmaximal, characteristic, complemented
12#21445674C211yesmaximal, characteristic, complemented
13#21445651C211yesmaximal, characteristic, complemented
14#21445646C211yesmaximal, characteristic, complemented
15C2×C61×#463C211yesmaximal, characteristic
16C2×Q8×Dic61C2211yescharacteristic
17C2×D4×Dic61C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C22×C4×Dic61—21no—
21#16839874—24no—
22#16839863—24no—
23C2×#14519711C2211yescharacteristic
24C2×#14519709C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519687C2211yescharacteristic
33C2×#14519687C2211yescharacteristic
34#16839669C2211yescharacteristic
35#16839665C2211yescharacteristic
36#16839655—21no—
37#16839655—21no—
38#16839628C2211yescharacteristic
39C4⋊C4×Dic61C2211yescharacteristic
40C4⋊C4×Dic61C2211yescharacteristic
41C4×C4⋊Dic61C2211yescharacteristic
42C22⋊C4×Dic61—21no—
43C22⋊C4×Dic61—21no—
44C22⋊C4×Dic61—21no—
45C22⋊C4×Dic61—21no—
46C4×C22⋊Dic61—21no—
47C42×Dic61C2211yescharacteristic
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—22no—
69D4×Dic61—22no—
70D4×Dic61—22no—
71D4×Dic61—22no—
72D4×Dic61—22no—
73D4×Dic61—22no—
74D4×Dic61D414yes—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C4×Dic61—21no—
86C2×C4×Dic61—21no—
87C2×C4×Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—44no—
90C2×C4×Dic61D411yescharacteristic
91C2×C4×Dic61D411yescharacteristic
92C2×C4×Dic61D411yescharacteristic
93C2×C4×Dic61D411yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96#14519711—22no—
97#14519709—22no—
98C4⋊#92418—22no—
99#14519701—22no—
100#14519701—22no—
101#14519698—22no—
102#14519698—22no—
103#14519698—22no—
104#14519698—22no—
105#14519687—22no—
106#14519687—22no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114C22×Q8×C61C2311yescharacteristic
115C22×D4×C61C2311yescharacteristic
116C22×D4×C61C2311yescharacteristic
117C23×C4×C61—21no—
118C2×SD16×C61—22no—
119C2×SD16×C61—22no—
120C2×SD16×C61C2×C414yescomplemented
121C2×D8×C61—22no—
122C2×D8×C61—22no—
123C2×D8×C61C2×C414yes—
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126#124×C61—22no—
127#124×C61C2×C414yescomplemented
128C4×D4×C61—22no—
129C4×D4×C61C2×C414yescomplemented
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C42×C61C2311yescharacteristic
135C4⋊C8×C61C2×C414yescomplemented
136#103×C61C2×C414yescomplemented
137#102×C61C2×C414yescomplemented
138C24×C61—21no—
139C24×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61C22×C412yes—
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×C61—21no—
154C2×D4×C61C22×C412yes—
155C2×D4×C61C22×C412yes—
156C2×D4×C61C2×D412yes—
157C2×D4×C61#4112yes—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—24no—
161C22×C4×C61—42no—
162C22×C4×C61—42no—
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2411yescharacteristic
166C22×Dic61—24no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—24no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61—42no—
175C22×Dic61—42no—
176C22×Dic61—42no—
177C22×Dic61—42no—
178C22×Dic61—42no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183SD16×C61—28no—
184D8×C61—28no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C22×C412yes—
190C2×C8×C61C22×C412yes—
191C4⋊C4×C61—21no—
192C4⋊C4×C61C22×C412yes—
193C22⋊C4×C61—24no—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—24no—
196C42×C61C22×C412yes—
197C42×C61#4112yes—
198C22⋊Dic61—24no—
199C22⋊Dic61—24no—
200C22⋊Dic61—42no—
201C22⋊Dic61—42no—
202C22⋊Dic61—42no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—42no—
210C4⋊Dic61C2×D412yes—
211C4⋊Dic61#4112yes—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—22no—
215C4×Dic61—41no—
216C4×Dic61—41no—
217C4×Dic61—41no—
218C4×Dic61—42no—
219C4×Dic61—42no—
220C4×Dic61—42no—
221C4×Dic61—42no—
222C4×Dic61C2×D412yes—
223C4×Dic61#4112yes—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245Q8×C61—22no—
246Q8×C61—22no—
247Q8×C61—41no—
248Q8×C61—41no—
249D4×C61—22no—
250D4×C61—22no—
251D4×C61—22no—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256D4×C61C4×D414yes—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—48no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61C4×D412yes—
269C2×C4×C61C4×D412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—22no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—48no—
288C2×Dic61—48no—
289C2×Dic61—41no—
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—84no—
300C2×Dic61#12112yes—
301C2×Dic61#12112yes—
302C2×Dic61AGL(1,ℤ/8)12yes—
303C8×C61—22no—
304C8×C61—22no—
305#92418—41no—
306#92418—41no—
307#21507—611nomaximal, Sylow
308C22×C61—24no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61C2×C4×D411yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C22×C61#52511yescharacteristic
325C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57511yescharacteristic
328C22×C61#57511yescharacteristic
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61C2×C4×D411yescharacteristic
334C4×C61C4×#4111yescharacteristic
335C4×C61#52911yescharacteristic
336C4×C61#53211yescharacteristic
337Dic61—22no—
338Dic61—22no—
339Dic61—22no—
340Dic61—41no—
341Dic61—42no—
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345C2×#463D6111yescharacteristic
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#1767—611no—
358#1763—611no—
359#1762—611no—
360C2×C61—44no—
361C2×C61—82no—
362C2×C61C4×#12111yescharacteristic
363C2×C61#294311yescharacteristic
364C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
365C2×C61#303611yescharacteristic
366C2×C61#304011yescharacteristic
367C2×C61#311111yescharacteristic
368C2×C61#311411yescharacteristic
369C22×SD16C2×D6111yescharacteristic
370C22×D8C2×D6111yescharacteristic
371C2×#124C2×D6111yescharacteristic
372C2×C4×Q8—611no—
373C2×C4×D4—611no—
374C2×C4×D4—611no—
375C2×C4×D4—611no—
376C2×C4×D4C2×D6111yescharacteristic
377C22×C42—1221no—
378#463Dic6118yescomplemented
379#442—1224no—
380#440—1224no—
381C2×#107—611no—
382C2×#106—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8C2×D6111yescharacteristic
385C2×#103—611no—
386C2×#103—611no—
387C2×#103C2×D6111yescharacteristic
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102C2×D6111yescharacteristic
393C2×#97—611no—
394C2×#97—611no—
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—
408C43—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336—611no—
414#336—611no—
415C61#2150711yescharacteristic, complemented, Sylow
416C22×Q8C22×D6111yescharacteristic
417C22×D4C22×D6111yescharacteristic
418C22×D4C22×D6111yescharacteristic
419C23×C4—21no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4—1221no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16C2×Dic6114yescomplemented
426C2×D8—22no—
427C2×D8—22no—
428C2×D8C2×Dic6114yes—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433#124—22no—
434#124C2×Dic6114yescomplemented
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×D4—22no—
438C4×D4—614no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4C2×Dic6114yescomplemented
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—2444no—
470C2×C42C22×D6111yescharacteristic
471#107—1222no—
472#106—1222no—
473C4⋊C8—1222no—
474C4⋊C8C2×Dic6114yescomplemented
475#103—1222no—
476#103—1222no—
477#103C2×Dic6114yescomplemented
478#102—1222no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102C2×Dic6114yescomplemented
483#97—1222no—
484#97—1222no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—21no—
493C24—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C22×Dic6112yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4D4×D6112yes—
509C2×D4#1175822412yes—
510C2×D4C22×Dic6112yes—
511C2×D4C22×Dic6112yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—1224no—
522C22×C4—1224no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4D4×D6111yescharacteristic
535C22×C4D4×D6111yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—28no—
538D8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8C22×Dic6112yes—
550C2×C8C22×Dic6112yes—
551C4⋊C4—21no—
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—2442no—
561C4⋊C4C22×Dic6112yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—612no—
571C42—612no—
572C42—1222no—
573C42—1221no—
574C42—1221no—
575C42—2441no—
576C42—2441no—
577C42—2441no—
578C42—2442no—
579C42—2442no—
580C42—2442no—
581C42—2442no—
582C42#1175822412yes—
583C42C22×Dic6112yes—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23C2×D4×D6111yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—22no—
607D4—22no—
608D4—41no—
609D4—41no—
610D4D4×Dic6114yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—48no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—612no—
623C2×C4—612no—
624C2×C4—612no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1222no—
632C2×C4—1221no—
633C2×C4—1222no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—4884no—
637C2×C4—2448no—
638C2×C4—2448no—
639C2×C4—2441no—
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×C4D4×Dic6112yes—
650C2×C4D4×Dic6112yes—
651C2×C4C23×Dic6111yescharacteristic
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4C2×#1175822411yescharacteristic
656C2×C4C2×#1175822411yescharacteristic
657C8—22no—
658C8—22no—
659C8—2441no—
660C8—2441no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×D4×Dic6111yescharacteristic
676C22#121×D6111yescharacteristic
677C22#1684027211yescharacteristic
678C22AGL(1,ℤ/8)×D6111yescharacteristic
679C22#1684055811yescharacteristic
680C22#1684055911yescharacteristic
681C22#1684055911yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—42no—
686C4—1222no—
687C4—1222no—
688C4—1222no—
689C4—4881no—
690C4—4881no—
691C4—2441no—
692C4—2442no—
693C4—2442no—
694C4C2×D4×Dic6111yescharacteristic
695C4#41×Dic6111yescharacteristic
696C4#1684029311yescharacteristic
697C4#1684030711yescharacteristic
698C2—44no—
699C2—82no—
700C2#121×Dic6111yescharacteristic
701C2#2145462011yescharacteristic
702C2AGL(1,ℤ/8)×Dic6111yescharacteristic
703C2#2145528111yescharacteristic
704C2#2145530811yescharacteristic
705C2#2145592511yescharacteristic
706C2#2145595611yescharacteristic
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#21507
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
2. C2×#16839863C2semidirect
3. #124×Dic61C2semidirect
4. C4×D4×Dic61C2semidirect
5. #21446752C2semidirect
6. #21446589C2semidirect
7. #21446455C2semidirect
8. #21446441C2semidirect
10. #21446155C2semidirect
11. #21445829C2semidirect
12. #21445674C2semidirect
13. #21445651C2semidirect
14. #21445646C2semidirect
58. C61×#463C4semidirect
120. C2×SD16×C61C2×C4semidirect
127. #124×C61C2×C4semidirect
129. C4×D4×C61C2×C4semidirect
135. C4⋊C8×C61C2×C4semidirect
136. #103×C61C2×C4semidirect
137. #102×C61C2×C4semidirect
378. #463Dic61semidirect
415. C61#21507semidirect
425. C2×SD16C2×Dic61semidirect
434. #124C2×Dic61semidirect
444. C4×D4C2×Dic61semidirect
474. C4⋊C8C2×Dic61semidirect
477. #103C2×Dic61semidirect
482. #102C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398742
C2×#168398632
#124×Dic612
C4×D4×Dic612
#214467522
#214465892
#214464552
#214464412
#214461692
#214461552
#214458292
#214456742
#214456512
#214456462
C2×C61×#4632
#2150761