Finite Group Databasebeta

← #29686428

Subgroups — #29686428

Order 15616.

1044 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×#16839863C211yesmaximal, characteristic, complemented
2C2×SD16×Dic61C211yesmaximal, characteristic, complemented
3#21448545C211yesmaximal, characteristic
4#21448184C211yesmaximal, characteristic, complemented
5#21446747C211yesmaximal, characteristic
6#21446589C211yesmaximal, characteristic, complemented
7#21446448C211yesmaximal, characteristic, complemented
8#21446441C211yesmaximal, characteristic, complemented
9#21446176C211yesmaximal, characteristic, complemented
10#21446176C211yesmaximal, characteristic, complemented
11#21445834C211yesmaximal, characteristic, complemented
12#21445678C211yesmaximal, characteristic, complemented
13#21445646C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C2×C61×#460C211yesmaximal, characteristic
16C2×Q8×Dic61C2211yescharacteristic
17C2×Q8×Dic61C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20#16839863—24no—
21SD16×Dic61—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×C4⋊#92418C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519687C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33#16839665C2211yescharacteristic
34#16839665C2211yescharacteristic
35#16839642—21no—
36#16839642—21no—
37#16839642—21no—
38#16839642—21no—
39#16839628C2211yescharacteristic
40C4⋊C4×Dic61—21no—
41C4⋊C4×Dic61—21no—
42C4⋊C4×Dic61C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4×C4⋊Dic61—21no—
45C4×C4⋊Dic61C2211yescharacteristic
46#16839608—21no—
47#16839608C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C22×SD16×C61C2211yescharacteristic
56C2×#127×C61C2211yescharacteristic
57C2×C4×Q8×C61C2211yescharacteristic
58C61×#460C418yescomplemented
59C2×C4⋊C8×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×#102×C61C2211yescharacteristic
62C23×Dic61—21no—
63C23×Dic61—21no—
64C22×#92418C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66Q8×Dic61—22no—
67Q8×Dic61—22no—
68Q8×Dic61—22no—
69Q8×Dic61D414yescomplemented
70D4×Dic61—22no—
71D4×Dic61—22no—
72D4×Dic61—22no—
73D4×Dic61—22no—
74C2×C4⋊Dic61—21no—
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×C22⋊Dic61—21no—
86C2×C4×Dic61—21no—
87C2×C4×Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61C2311yescharacteristic
92C2×C4×Dic61C2311yescharacteristic
93#14519711—22no—
94#14519709—22no—
95C4⋊#92418—22no—
96#14519701—22no—
97#14519701—22no—
98#14519698—22no—
99#14519698—22no—
100#14519698—22no—
101#14519698—22no—
102#14519687—22no—
103C8×Dic61—22no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684D411yescharacteristic
110#14519684D411yescharacteristic
111#14519684D411yescharacteristic
112#14519684D411yescharacteristic
113C22×Q8×C61C2311yescharacteristic
114C22×D4×C61—21no—
115C22×D4×C61—21no—
116C22×D4×C61C2311yescharacteristic
117C22×D4×C61C2311yescharacteristic
118C2×SD16×C61—22no—
119C2×SD16×C61—22no—
120C2×SD16×C61—22no—
121C2×SD16×C61—22no—
122C2×SD16×C61C2×C414yescomplemented
123C2×SD16×C61C2×C414yescomplemented
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126#127×C61—22no—
127#127×C61C2×C414yes—
128C4×Q8×C61—22no—
129C4×Q8×C61C2×C414yescomplemented
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134C4⋊C8×C61C2×C414yescomplemented
135#102×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×C61C22×C412yes—
143C2×Q8×C61C2×D412yes—
144C2×Q8×C61#4112yes—
145C2×D4×C61—24no—
146C2×D4×C61—24no—
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×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—21no—
157C2×D4×C61—81no—
158C2×D4×C61—81no—
159C2×D4×C61—81no—
160C2×D4×C61—81no—
161C2×D4×C61C22×C412yes—
162C2×D4×C61C22×C412yes—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61—81no—
175C22×Dic61—81no—
176C22×Dic61—81no—
177C22×Dic61—81no—
178C22×Dic61C2×D411yescharacteristic
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182SD16×C61—28no—
183SD16×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—24no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61C22×C412yes—
193C42×C61—24no—
194C42×C61C22×C412yes—
195C42×C61#4112yes—
196C22⋊Dic61—42no—
197C22⋊Dic61—42no—
198C22⋊Dic61—81no—
199C22⋊Dic61—81no—
200C22⋊Dic61—81no—
201C22⋊Dic61—81no—
202C4⋊Dic61—24no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—24no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61C2×D412yes—
211C4⋊Dic61#4112yes—
212C4×Dic61—24no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—24no—
216C4×Dic61—81no—
217C4×Dic61—81no—
218C4×Dic61—81no—
219C4×Dic61C2×D412yes—
220C4×Dic61#4112yes—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—41no—
230C23×C61—41no—
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—22no—
245Q8×C61C4×D414yes—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—22no—
250D4×C61—41no—
251D4×C61—41no—
252D4×C61—41no—
253D4×C61—41no—
254D4×C61—84no—
255D4×C61—84no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61C4×D412yes—
267C2×C4×C61C4×D412yes—
268C2×C4×C61C23×C411yescharacteristic
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—22no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
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—41no—
296C2×Dic61—84no—
297C2×Dic61—84no—
298C2×Dic61#12112yes—
299C2×Dic61#12112yes—
300C8×C61—22no—
301C8×C61—22no—
302#92418—41no—
303#92418—41no—
304#21515—611nomaximal, Sylow
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—81no—
312C22×C61—81no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61C2×C4×D411yescharacteristic
320C22×C61C2×#12111yescharacteristic
321C22×C61#52511yescharacteristic
322C22×C61#57611yescharacteristic
323C22×C61#57711yescharacteristic
324C22×C61#57711yescharacteristic
325C22×C61#57711yescharacteristic
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—24no—
329C4×C61—42no—
330C4×C61C2×C4×D411yescharacteristic
331C4×C61C4×#4111yescharacteristic
332C4×C61#52911yescharacteristic
333C4×C61#53211yescharacteristic
334Dic61—22no—
335Dic61—22no—
336Dic61—41no—
337Dic61—42no—
338Dic61—41no—
339Dic61—42no—
340Dic61—81no—
341Dic61—81no—
342C2×#460D6111yescharacteristic
343C2×#440—611no—
344C2×C4×SD16—611no—
345#2328—611no—
346#2276—611no—
347#1982—611no—
348#1949—611no—
349#1926—611no—
350#1925—611no—
351#1880—611no—
352#1880—611no—
353#1805—611no—
354#1768—611no—
355#1762—611no—
356C4×#102—611no—
357C2×C61—82no—
358C2×C61—82no—
359C2×C61C4×#12111yescharacteristic
360C2×C61#294611yescharacteristic
361C2×C61#294911yescharacteristic
362C2×C61#304311yescharacteristic
363C2×C61#304511yescharacteristic
364C2×C61#311911yescharacteristic
365C2×C61#312611yescharacteristic
366C22×SD16C2×D6111yescharacteristic
367C22×SD16C2×D6111yescharacteristic
368C2×#127C2×D6111yescharacteristic
369C2×C4×Q8—611no—
370C2×C4×Q8—611no—
371C2×C4×Q8C2×D6111yescharacteristic
372C2×C4×D4—611no—
373C2×C4×D4—611no—
374#460Dic6118yescomplemented
375#440—1224no—
376C4×SD16—1224no—
377C2×#107—611no—
378C2×#106—611no—
379C2×C4⋊C8—611no—
380C2×C4⋊C8C2×D6111yescharacteristic
381C2×#103—611no—
382C2×#103—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102C2×D6111yescharacteristic
388C2×#102C2×D6111yescharacteristic
389C2×#97—611no—
390C2×C4×C8—611no—
391#390—611no—
392#390—611no—
393#386—1221no—
394#386—1221no—
395#386—1221no—
396#386—1221no—
397#382—611no—
398C4×C4⋊C4—611no—
399C4×C4⋊C4—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—1221no—
402C4×C4⋊C4—1221no—
403C4×C4⋊C4—1221no—
404#376—611no—
405#376—1221no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2151511yescharacteristic, complemented, Sylow
413C22×Q8C22×D6111yescharacteristic
414C22×D4—21no—
415C22×D4—21no—
416C22×D4C22×D6111yescharacteristic
417C22×D4C22×D6111yescharacteristic
418C23×C4—1221no—
419C23×C4—1221no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16—22no—
423C2×SD16—22no—
424C2×SD16C2×Dic6114yescomplemented
425C2×SD16C2×Dic6114yescomplemented
426C22×C8—611no—
427C22×C8—611no—
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430#127—22no—
431#127C2×Dic6114yes—
432C4×Q8—22no—
433C4×Q8—614no—
434C4×Q8—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×Q8C2×Dic6114yescomplemented
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—1221no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C42—21no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
462C2×C42—1221no—
463C2×C42—1221no—
464C2×C42C22×D6111yescharacteristic
465#107—1222no—
466#106—1222no—
467C4⋊C8—1222no—
468C4⋊C8C2×Dic6114yescomplemented
469#103—1222no—
470#103—1222no—
471#102—1222no—
472#102—1222no—
473#102—1222no—
474#102—1222no—
475#102C2×Dic6114yescomplemented
476#102C2×Dic6114yescomplemented
477#97—1222no—
478C4×C8—1222no—
479#95—611no—
480#95—611no—
481#95—611no—
482#95—611no—
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×Q8D4×D6112yes—
494C2×Q8#1175822412yes—
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×D4—21no—
505C2×D4—21no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C22×Dic6112yes—
513C2×D4C22×Dic6112yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—4881no—
525C22×C4—4881no—
526C22×C4—4881no—
527C22×C4—4881no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4D4×D6111yescharacteristic
531C22×C4D4×D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533SD16—28no—
534SD16—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—1221no—
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—24no—
549C4⋊C4—612no—
550C4⋊C4—612no—
551C4⋊C4—1224no—
552C4⋊C4—1224no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4C22×Dic6112yes—
560C22⋊C4—4881no—
561C22⋊C4—4881no—
562C22⋊C4—4881no—
563C22⋊C4—4881no—
564C22⋊C4—2442no—
565C22⋊C4—2442no—
566C42—24no—
567C42—612no—
568C42—612no—
569C42—1224no—
570C42—1224no—
571C42—1221no—
572C42—1221no—
573C42—4881no—
574C42—4881no—
575C42—4881no—
576C42#1175822412yes—
577C42C22×Dic6112yes—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
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—22no—
596Q8D4×Dic6114yes—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—612no—
618C2×C4—612no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1222no—
624C2×C4—1221no—
625C2×C4—1222no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—4884no—
632C2×C4—4884no—
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×C4#41×D6111yescharacteristic
648C2×C4#41×D6111yescharacteristic
649C2×C4C2×#1175822411yescharacteristic
650C2×C4C2×#1175822411yescharacteristic
651C8—22no—
652C8—22no—
653C8—2441no—
654C8—2441no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×D4×Dic6111yescharacteristic
670C22#121×D6111yescharacteristic
671C22#1684027211yescharacteristic
672C22#1684056611yescharacteristic
673C22#1684056811yescharacteristic
674C22#1684056811yescharacteristic
675C22#1684057211yescharacteristic
676C4—22no—
677C4—22no—
678C4—24no—
679C4—42no—
680C4—1222no—
681C4—1222no—
682C4—4881no—
683C4—4881no—
684C4—2441no—
685C4—2442no—
686C4—2441no—
687C4—2442no—
688C4C2×D4×Dic6111yescharacteristic
689C4#41×Dic6111yescharacteristic
690C4#1684029311yescharacteristic
691C4#1684030711yescharacteristic
692C2—82no—
693C2—82no—
694C2#121×Dic6111yescharacteristic
695C2#2145465211yescharacteristic
696C2#2145467911yescharacteristic
697C2#2145533511yescharacteristic
698C2#2145535511yescharacteristic
699C2#2145601711yescharacteristic
700C2#2145610811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#460C2
socleC23×C61C22×D4
prime radicalC2×#127×C61C22
cosocleC22×C4×C61C24
hypercenterC2×#460D61
hypocenterC61#21515
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#460

Complements

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

NH ≅ G/Ntype
1. C2×#16839863C2semidirect
2. C2×SD16×Dic61C2semidirect
4. #21448184C2semidirect
6. #21446589C2semidirect
7. #21446448C2semidirect
8. #21446441C2semidirect
9. #21446176C2semidirect
10. #21446176C2semidirect
11. #21445834C2semidirect
12. #21445678C2semidirect
13. #21445646C2semidirect
14. #102×Dic61C2semidirect
58. C61×#460C4semidirect
69. Q8×Dic61D4semidirect
122. C2×SD16×C61C2×C4semidirect
123. C2×SD16×C61C2×C4semidirect
129. C4×Q8×C61C2×C4semidirect
134. C4⋊C8×C61C2×C4semidirect
135. #102×C61C2×C4semidirect
136. #102×C61C2×C4semidirect
374. #460Dic61semidirect
412. C61#21515semidirect
424. C2×SD16C2×Dic61semidirect
425. C2×SD16C2×Dic61semidirect
437. C4×Q8C2×Dic61semidirect
468. C4⋊C8C2×Dic61semidirect
475. #102C2×Dic61semidirect
476. #102C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398632
C2×SD16×Dic612
#214485452
#214481842
#214467472
#214465892
#214464482
#214464412
#214461762
#214458342
#214456782
#214456462
#102×Dic612
C2×C61×#4602
#2151561