Finite Group Databasebeta

← #29723821

Subgroups — #29723821

Order 15616.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839900C211yesmaximal, characteristic
2C2×#16839853C211yesmaximal, characteristic, complemented
3#21449329C211yesmaximal, characteristic
4#21448651C211yesmaximal, characteristic, complemented
5#21447359C211yesmaximal, characteristic, complemented
6#21447256C211yesmaximal, characteristic, complemented
7#21447135C211yesmaximal, characteristic, complemented
8#21446493C211yesmaximal, characteristic, complemented
9#21446428C211yesmaximal, characteristic, complemented
10#21446171C211yesmaximal, characteristic, complemented
11#21446151C211yesmaximal, characteristic, complemented
12#21446084C211yesmaximal, characteristic, complemented
13#21445823C211yesmaximal, characteristic, complemented
14#21445755C211yesmaximal, characteristic, complemented
15C61×#2034C211yesmaximal, characteristic
16C23×Dic122C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758200C2211yescharacteristic
19C2×#14519758—21no—
20C2×#14519742C2211yescharacteristic
21C2×#14519742C2211yescharacteristic
22C2×D4×Dic61C2211yescharacteristic
23#16839900—24no—
24#16839853—24no—
25C2×#14519708C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519702C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×C22⋊#92418C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35#16839690—21no—
36#16839676—21no—
37#16839667C2211yescharacteristic
38#16839667C2211yescharacteristic
39#16839666—21no—
40#16839666—21no—
41#16839665C2211yescharacteristic
42#16839658C2211yescharacteristic
43#16839634—21no—
44#16839631C2211yescharacteristic
45#16839622C2211yescharacteristic
46#16839620—21no—
47C22⋊C4×Dic61—21no—
48C4×C22⋊Dic61C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C2×#121×C61C2211yescharacteristic
55C2×#106×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×Dic122—21no—
62C22×Dic122—22no—
63C22×Dic122—22no—
64C22×Dic122—22no—
65C22×Dic122—22no—
66C22×Dic122—41no—
67C22×Dic122—41no—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2311yescharacteristic
70C23×Dic61—21no—
71C23×Dic61—21no—
72C2×#11758200—22no—
73C2×#11758200—22no—
74C2×#11758200—22no—
75C2×#11758200—22no—
76C2×#11758200—41no—
77C2×#11758200D414yes—
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80#14519758—44no—
81#14519742—22no—
82#14519742—22no—
83#14519742—41no—
84#14519742—41no—
85D4×Dic61—22no—
86D4×Dic61—41no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×C22⋊Dic61—21no—
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61D411yescharacteristic
99C2×C22⋊Dic61D411yescharacteristic
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61C2311yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104#14519708—22no—
105#14519706—41no—
106#14519702—22no—
107#14519702—22no—
108#14519702—22no—
109#14519702—41no—
110#14519700—22no—
111#14519700—22no—
112C22⋊#92418—22no—
113C8×Dic61—22no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684D411yescharacteristic
121#14519684D411yescharacteristic
122C22×D4×C61—21no—
123C22×D4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127#121×C61—22no—
128#121×C61—41no—
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134#106×C61—41no—
135#102×C61—22no—
136#102×C61—41no—
137C22⋊C8×C61—41no—
138#95×C61—21no—
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—81no—
149C2×D4×C61C2×D412yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C22×Dic61—21no—
162C22×Dic61—24no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—81no—
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C22×Dic61C2×D411yescharacteristic
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—24no—
183C2×Dic122—21no—
184C2×Dic122—44no—
185C2×Dic122—44no—
186C2×Dic122—44no—
187C2×Dic122—42no—
188C2×Dic122—42no—
189C2×Dic122—44no—
190C2×Dic122C2×D412yes—
191C2×Dic122#4112yes—
192C2×Dic122#4112yes—
193C2×Dic122#4112yes—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C22⋊Dic61—41no—
209C22⋊Dic61—42no—
210C22⋊Dic61—42no—
211C22⋊Dic61—42no—
212C22⋊Dic61—42no—
213C22⋊Dic61SD1614yescomplemented
214#11758200—28no—
215#11758200—44no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220#11758196—42no—
221#11758196—42no—
222#11758196—42no—
223#11758196—42no—
224#11758196—81no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—42no—
230C4×Dic61—42no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418C2×D412yes—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—22no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61C2×SD1612yes—
251C23×C61C22×D411yescharacteristic
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256D4×C61—84no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61H(5,𝔽2)11yescharacteristic
278C2×C4×C61H(5,𝔽2)11yescharacteristic
279C2×Dic61—22no—
280C2×Dic61—21no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—48no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—84no—
303C2×Dic61C2×SD1612yes—
304C2×Dic61C2×SD1612yes—
305Dic122—22no—
306Dic122—22no—
307Dic122—22no—
308Dic122—22no—
309Dic122—22no—
310Dic122—48no—
311Dic122—41no—
312Dic122—41no—
313Dic122#12314yescomplemented
314C8×C61—41no—
315C8×C61—41no—
316#92418—22no—
317#92418—41no—
318#24898—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61#52511yescharacteristic
334C22×C61D4211yescharacteristic
335C22×C61#54611yescharacteristic
336C22×C61C22×SD1611yescharacteristic
337C22×C61#57511yescharacteristic
338C22×C61#57711yescharacteristic
339C22×C61#57811yescharacteristic
340C4×C61—41no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61C2×#12311yescharacteristic
345C4×C61#53811yescharacteristic
346C4×C61#54611yescharacteristic
347C4×C61#55111yescharacteristic
348Dic61—24no—
349Dic61—22no—
350Dic61—22no—
351Dic61—42no—
352Dic61—41no—
353Dic61—41no—
354Dic61—81no—
355Dic61—81no—
356C2×#448—611no—
357C2×C4×SD16—611no—
358#2422—611no—
359Q8×C22⋊C4—611no—
360#2096—611no—
361#2077—611no—
362#2055—611no—
363#2034D6111yescharacteristic
364#1933—611no—
365#1923—611no—
366#1880—611no—
367#1877—611no—
368#1865—611no—
369#1803—611no—
370#1787—611no—
371C2×C61—42no—
372C2×C61—82no—
373C2×C61#241811yescharacteristic
374C2×C61#310311yescharacteristic
375C2×C61#312111yescharacteristic
376C2×C61#326911yescharacteristic
377C2×C61D4×SD1611yescharacteristic
378C2×C61#329811yescharacteristic
379C2×C61#332611yescharacteristic
380C23×Q8—611no—
381C22×SD16—611no—
382C22×SD16—611no—
383C2×#123—1221no—
384C2×#121C2×D6111yescharacteristic
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387C2×C4×D4—611no—
388#448—1224no—
389C4×SD16—1224no—
390C2×#106—611no—
391C2×#106C2×D6111yescharacteristic
392C2×C4⋊C8—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#102C2×D6111yescharacteristic
400C2×#102C2×D6111yescharacteristic
401C2×C22⋊C8—611no—
402C2×C22⋊C8C2×D6111yescharacteristic
403C2×C4×C8—611no—
404#397—1221no—
405#394—1221no—
406#391—611no—
407#391—611no—
408#391—1221no—
409#391—1221no—
410#390—611no—
411#389—611no—
412#385—1221no—
413#384—611no—
414#380—611no—
415#380—1221no—
416#380C2×D6111yescharacteristic
417C4×C22⋊C4—611no—
418C4×C22⋊C4—1221no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#336—611no—
424#336—611no—
425C61#2489811yescharacteristic, complemented, Sylow
426C22×Q8—611no—
427C22×Q8—611no—
428C22×Q8—1222no—
429C22×Q8—1222no—
430C22×Q8—1222no—
431C22×Q8—1222no—
432C22×Q8—1221no—
433C22×Q8—2441no—
434C22×Q8—2441no—
435C22×D4—21no—
436C22×D4C22×D6111yescharacteristic
437C23×C4—1221no—
438C23×C4—1221no—
439C23×C4C22×D6111yescharacteristic
440C2×SD16—614no—
441C2×SD16—1222no—
442C2×SD16—1222no—
443C2×SD16—1222no—
444C2×SD16—1222no—
445C2×SD16—2441no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450#123—2444no—
451#121—22no—
452#121—41no—
453C4×Q8—1222no—
454C4×Q8—1222no—
455C4×Q8—2441no—
456C4×Q8—2441no—
457C4×D4—1222no—
458C4×D4—2441no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—1221no—
480C2×C42—1221no—
481#106—41no—
482#106—1222no—
483C4⋊C8—2441no—
484#103—1222no—
485#103—1222no—
486#103—1222no—
487#103—1222no—
488#103—1222no—
489#103—2441no—
490#102—22no—
491#102—41no—
492C22⋊C8—41no—
493C22⋊C8—1222no—
494C4×C8—1222no—
495#95—21no—
496#95—611no—
497#95—611no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504C24—21no—
505C24D4×D6111yescharacteristic
506C2×Q8—612no—
507C2×Q8—612no—
508C2×Q8—612no—
509C2×Q8—612no—
510C2×Q8—1224no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8—2442no—
520C2×Q8—2442no—
521C2×Q8—2444no—
522C2×Q8—2444no—
523C2×Q8—2444no—
524C2×Q8—2444no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—81no—
533C2×D4D4×D6112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—1221no—
548C22×C4—1224no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—4881no—
553C22×C4—2442no—
554C22×C4—2442no—
555C22×C4—2442no—
556C22×C4—2442no—
557C22×C4D4×D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559SD16—1228no—
560SD16—2444no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—612no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—4881no—
584C4⋊C4—2442no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—614no—
591C22⋊C4—2442no—
592C22⋊C4—2441no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C22⋊C4—2442no—
596C42—1221no—
597C42—1221no—
598C42—1221no—
599C42—1221no—
600C42—2442no—
601C42—2442no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23SD16×D6112yes—
616C23C2×D4×D6111yescharacteristic
617Q8—614no—
618Q8—1222no—
619Q8—1222no—
620Q8—1222no—
621Q8—1222no—
622Q8—1222no—
623Q8—2448no—
624Q8—2441no—
625Q8—2441no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1222no—
654C2×C4—1221no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—4884no—
664C2×C4—2448no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4#41×D6111yescharacteristic
676C2×C4#41×D6111yescharacteristic
677C2×C4#1451982211yescharacteristic
678C2×C4#1451982211yescharacteristic
679C8—41no—
680C8—41no—
681C8—1222no—
682C8—2441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#1684027011yescharacteristic
698C22#1684039411yescharacteristic
699C22#1684040111yescharacteristic
700C22C2×SD16×D6111yescharacteristic
701C22#1684055811yescharacteristic
702C22#1684057211yescharacteristic
703C22#1684057611yescharacteristic
704C4—41no—
705C4—81no—
706C4—81no—
707C4—81no—
708C4—1222no—
709C4—1224no—
710C4—1222no—
711C4—4881no—
712C4—4881no—
713C4—2442no—
714C4—2441no—
715C4—2441no—
716C4#123×D6111yescharacteristic
717C4#1684034411yescharacteristic
718C4#1684040111yescharacteristic
719C4#1684044211yescharacteristic
720C2—42no—
721C2—82no—
722C2#2144927411yescharacteristic
723C2#2145584711yescharacteristic
724C2#2145604311yescharacteristic
725C2#2145737211yescharacteristic
726C2#2145751311yescharacteristic
727C2#2145767911yescharacteristic
728C2#2145807811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2034C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenter#2034D61
hypocenterC61#24898
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2034

Complements

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

NH ≅ G/Ntype
2. C2×#16839853C2semidirect
4. #21448651C2semidirect
5. #21447359C2semidirect
6. #21447256C2semidirect
7. #21447135C2semidirect
8. #21446493C2semidirect
9. #21446428C2semidirect
10. #21446171C2semidirect
11. #21446151C2semidirect
12. #21446084C2semidirect
13. #21445823C2semidirect
14. #21445755C2semidirect
213. C22⋊Dic61SD16semidirect
313. Dic122#123semidirect
425. C61#24898semidirect

Maximal subgroups

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

subgroupindex
C2×#168399002
C2×#168398532
#214493292
#214486512
#214473592
#214472562
#214471352
#214464932
#214464282
#214461712
#214461512
#214460842
#214458232
#214457552
C61×#20342
#2489861