Finite Group Databasebeta

← #29832826

Subgroups — #29832826

Order 15616.

1252 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459611C211yesmaximal, characteristic
2#21454277C212yesmaximal, complemented
3#21447492C212yesmaximal, complemented
4#21447488C211yesmaximal, characteristic, complemented
5#21447485C212yesmaximal, complemented
6#21447481C212yesmaximal, complemented
7C2×#16839556C212yesmaximal, complemented
8#354×D61C212yesmaximal, complemented
9C61×#2127C211yesmaximal, characteristic, complemented
10C2×#14519824C411yescharacteristic, complemented
11C2×#14519822C2211yescharacteristic
12#16840418—22no—
13#16840409—22no—
14#16840399—22no—
15#16840399—22no—
16#16840338C411yescharacteristic, complemented
17#16840332C411yescharacteristic, complemented
18#16840332C2211yescharacteristic
19#16840325C411yescharacteristic, complemented
20#16840325C2211yescharacteristic
21#16840310C411yescharacteristic, complemented
22#16840310C2211yescharacteristic
23#16840308C411yescharacteristic, complemented
24C2×#14519764C2211yescharacteristic
25#124×D61C411yescharacteristic, complemented
26#124×D61C2211yescharacteristic
27#16840235—22no—
28#16840230C411yescharacteristic, complemented
29#16839734—22no—
30#16839734C2214yes—
31C2×#14519692C2212yes—
32C2×#14519691—22no—
33#99×D61—22no—
34#99×D61C2214yes—
35#16839557C2212yescomplemented
36#16839556C2214yescomplemented
37#16839556C2214yescomplemented
38#16839555C2212yescomplemented
39C61×#535C2211yescharacteristic
40C2×#99×C61C2212yes—
41C61×#354C2212yescomplemented
42C61×#353C2212yescomplemented
43#14519824—44no—
44#14519822—44no—
45C2×#11758222—21no—
46C2×#11758222C2×C411yescharacteristic
47C2×#11758222C2×C411yescharacteristic
48C2×#11758224—21no—
49C2×#11758224—21no—
50C2×#11758224C2×C411yescharacteristic
51C2×#11758224C2×C411yescharacteristic, complemented
52C2×#11758224C2×C411yescharacteristic, complemented
53C2×#11758224D412yes—
54C2×#11758224C2311yescharacteristic
55C22×Dic122—21no—
56C22×Dic122C2×C411yescharacteristic, complemented
57C2×Q8×D61C2×C411yescharacteristic, complemented
58C2×Q8×D61C2×C411yescharacteristic, complemented
59C22×C22⋊D61D412yes—
60C22×C22⋊D61D412yes—
61C2×D4×D61C2×C411yescharacteristic
62C2×D4×D61D412yes—
63C2×D4×D61C2311yescharacteristic
64#14519777C2×C411yescharacteristic, complemented
65#14519777C2×C411yescharacteristic, complemented
66#14519775C2×C411yescharacteristic, complemented
67#14519773C2×C411yescharacteristic, complemented
68#14519766C2×C411yescharacteristic, complemented
69#14519765C2×C411yescharacteristic, complemented
70#14519765C2×C411yescharacteristic, complemented
71#14519764—22no—
72#14519764C2×C411yescharacteristic, complemented
73#14519764C2×C411yescharacteristic, complemented
74#14519764C2×C411yescharacteristic, complemented
75#14519764C2311yescharacteristic
76#14519764C2311yescharacteristic
77#14519763—22no—
78#14519763—22no—
79#14519761—22no—
80#14519759—22no—
81#14519759—22no—
82#14519757—22no—
83#14519754—22no—
84#14519754—22no—
85#14519749—22no—
86#14519749—22no—
87#14519749—22no—
88#14519748—22no—
89#14519748—22no—
90#14519745—22no—
91#14519745—22no—
92#14519742—21no—
93D4×Dic61—22no—
94D4×Dic61—22no—
95#14519739—21no—
96C4×C22⋊D61—22no—
97C4×C22⋊D61—44no—
98#14519737—21no—
99#14519737—21no—
100#14519737—44no—
101#14519734C2×C411yescharacteristic, complemented
102#14519734C2×C411yescharacteristic, complemented
103#14519733—24no—
104C2×C22⋊Dic61—22no—
105C2×C22⋊Dic61—22no—
106C22⋊C4×D61—22no—
107C22⋊C4×D61—22no—
108C22⋊C4×D61—24no—
109C2×C4×Dic61C2×C411yescharacteristic, complemented
110C42×D61C2×C411yescharacteristic, complemented
111C42×D61C2×C411yescharacteristic, complemented
112#14519692—22no—
113#14519692C2314yes—
114#14519691—24no—
115#14519691—24no—
116C2×#41×C61C2×C411yescharacteristic, complemented
117C22×D4×C61C2311yescharacteristic
118#127×C61C2×C411yescharacteristic, complemented
119#127×C61C2311yescharacteristic
120#124×C61C2×C411yescharacteristic, complemented
121#124×C61C2311yescharacteristic
122#121×C61—22no—
123#120×C61—22no—
124#117×C61C2×C411yescharacteristic, complemented
125C2×C22⋊C4×C61—22no—
126#99×C61—22no—
127#99×C61C2314yes—
128C24×C61C2×D412yes—
129C23×D61C22⋊C412yes—
130C23×D61C2×D412yes—
131#41×C61—42no—
132C2×Q8×C61C22×C411yescharacteristic
133C2×D4×C61—21no—
134C2×D4×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—42no—
137C2×D4×C61C22×C411yescharacteristic
138C2×D4×C61C22×C411yescharacteristic
139C2×D4×C61C2×D412yes—
140C2×D4×C61C2411yescharacteristic
141C22×C4×C61—21no—
142C22×C4×C61—42no—
143C22×C4×C61C22×C411yescharacteristic
144C2×C22⋊D61—24no—
145C2×C22⋊D61—24no—
146C2×C22⋊D61—21no—
147C2×C22⋊D61—21no—
148C2×C22⋊D61—22no—
149C2×C22⋊D61—42no—
150C2×C22⋊D61—42no—
151C2×C22⋊D61C22⋊C412yes—
152C2×C22⋊D61C22⋊C412yes—
153C2×C22⋊D61C22⋊C411yescharacteristic
154C2×C22⋊D61C22⋊C412yes—
155C2×C22⋊D61C22⋊C411yescharacteristic
156C2×C22⋊D61C2×D412yes—
157C2×C22⋊D61C2×D412yes—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—42no—
163C22×Dic61C22⋊C412yes—
164C22×Dic61C2×D412yes—
165Q8×D61—42no—
166Q8×D61—42no—
167#11758224—44no—
168#11758224—42no—
169#11758224—42no—
170#11758224—42no—
171#11758224—42no—
172#11758224—44no—
173#11758224—44no—
174D4×D61—42no—
175D4×D61—42no—
176D4×D61—44no—
177#11758222—24no—
178#11758222—44no—
179#11758222—42no—
180C2×D244C22⋊C411yescharacteristic
181C2×D244C22×C411yescharacteristic
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—21no—
185C2×C4×D61—21no—
186C2×C4×D61—44no—
187C2×C4×D61C22⋊C412yes—
188C2×C4×D61C22×C411yescharacteristic
189C2×C4×D61C22×C411yescharacteristic
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—44no—
194C2×Dic122—42no—
195C2×Dic122C22⋊C411yescharacteristic
196C2×Dic122C22×C411yescharacteristic
197C2×Dic122C22×C411yescharacteristic
198C2×Dic122C22×C411yescharacteristic
199C4⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61—22no—
203C22⋊C4×C61—24no—
204C22⋊C4×C61—42no—
205C42×C61C22×C411yescharacteristic
206C42×C61C22×C411yescharacteristic
207C22⋊Dic61—22no—
208C22⋊Dic61—22no—
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61—24no—
213C22⋊Dic61—42no—
214#11758198—22no—
215#11758198—22no—
216#11758198—22no—
217#11758198—21no—
218#11758198—21no—
219#11758198—44no—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222#11758196—21no—
223#11758196—21no—
224#11758196—22no—
225#11758196—44no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—44no—
230C4×Dic61C22×C411yescharacteristic
231C4×Dic61C22×C411yescharacteristic
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—21no—
235C23×C61—82no—
236C23×C61C2×C22⋊C412yes—
237C23×C61C2×C22⋊C411yescharacteristic
238C23×C61C22×D412yes—
239C22×D61—24no—
240C22×D61—42no—
241C22×D61—82no—
242C22×D61—82no—
243C22×D61C2×C22⋊C412yes—
244C22×D61C2×C22⋊C411yescharacteristic
245C22×D61C2×C22⋊C411yescharacteristic
246Q8×C61—41no—
247D4×C61—41no—
248D4×C61—42no—
249D4×C61—41no—
250D4×C61—41no—
251D4×C61—42no—
252D4×C61—82no—
253D4×C61—82no—
254C2×C4×C61—22no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—42no—
259C2×C4×C61—44no—
260C2×C4×C61—162no—
261C2×C4×C61C2×C22⋊C411yescharacteristic
262C2×C4×C61C23×C411yescharacteristic
263C22⋊D61—22no—
264C22⋊D61—22no—
265C22⋊D61—22no—
266C22⋊D61—24no—
267C22⋊D61—24no—
268C22⋊D61—42no—
269C22⋊D61—42no—
270C22⋊D61—42no—
271C22⋊D61—42no—
272C22⋊D61—82no—
273C22⋊D61#9914yes—
274C2×Dic61—24no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—42no—
280C2×Dic61—42no—
281C2×Dic61—42no—
282C2×Dic61—42no—
283C2×Dic61—44no—
284C2×Dic61—81no—
285C2×Dic61—162no—
286C2×Dic61C2×C22⋊C411yescharacteristic
287C2×Dic61C2×C22⋊C412yes—
288C2×Dic61C2×C22⋊C411yescharacteristic
289D244—22no—
290D244—41no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—42no—
294C4×D61—42no—
295C4×D61—42no—
296C4×D61—81no—
297C4×D61—81no—
298C4×D61—164no—
299Dic122—22no—
300Dic122—41no—
301Dic122—42no—
302Dic122—42no—
303Dic122—42no—
304Dic122—41no—
305Dic122—41no—
306#33361—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—41no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—41no—
314C22×C61—82no—
315C22×C61—82no—
316C22×C61C2×#9912yes—
317C22×C61C22×C22⋊C411yescharacteristic
318C2×D61—21no—
319C2×D61—22no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61—42no—
323C2×D61—84no—
324C2×D61—162no—
325C2×D61C2×#9912yes—
326C4×C61—21no—
327C4×C61—21no—
328C4×C61—41no—
329C4×C61—41no—
330C4×C61—41no—
331C4×C61—84no—
332Dic61—21no—
333Dic61—22no—
334Dic61—41no—
335Dic61—41no—
336Dic61—41no—
337Dic61—41no—
338Dic61—84no—
339Dic61C2×#9912yes—
340#3500—611no—
341#2883—612no—
342#2129—612no—
343#2127—612no—
344#2127—611no—
345#2127D6111yescharacteristic, complemented
346#2126—612no—
347C2×#354—612no—
348C2×#354—612no—
349C2×C61—21no—
350C2×C61—22no—
351C2×C61—42no—
352C2×C61—42no—
353C2×C61—81no—
354C2×C61C22×#9911yescharacteristic
355D61—22no—
356D61—42no—
357D61—41no—
358C2×2−1+4—611no—
359C2×H(5,𝔽2)—611no—
360#548—1222no—
361#546—1222no—
362#546—1222no—
363#546—1222no—
364#536—611no—
365#536—611no—
366#536—611no—
367#535—611no—
368#535—611no—
369#535C2×D6111yescharacteristic
370#532—611no—
371#532—611no—
372#532—611no—
373C2×#124—611no—
374C2×#124—611no—
375C2×#124—611no—
376#518—1222no—
377C4×#41—611no—
378#410—614no—
379#410—1222no—
380C2×#99—612no—
381C2×#99—614no—
382C2×#99—1222no—
383C2×#99—1222no—
384C2×#99C2×D6112yes—
385#354—612no—
386#354—614no—
387#354—614no—
388#354C2×D6112yescomplemented
389#353—612no—
390#353C2×D6112yescomplemented
391C61#3336111yescharacteristic, complemented, Sylow
3922−1+4—2444no—
393H(5,𝔽2)—2444no—
394C2×#41—611no—
395C2×#41—612no—
396C2×#41—611no—
397C2×#41—611no—
398C2×#41—611no—
399C2×#41—611no—
400C2×#41—611no—
401C2×#41—1221no—
402C2×#41—1221no—
403C2×#41—1221no—
404C2×#41C4×D6111yescharacteristic, complemented
405C22×Q8—611no—
406C22×Q8—611no—
407C22×Q8—611no—
408C22×Q8—1221no—
409C22×D4—612no—
410C22×D4—612no—
411C22×D4—611no—
412C22×D4—612no—
413C22×D4—611no—
414C22×D4C22×D6111yescharacteristic
415C4⋊Q8—611no—
416C4⋊Q8—611no—
417C4⋊Q8—611no—
418#127—611no—
419#127C4×D6111yescharacteristic, complemented
420#127C22×D6111yescharacteristic
421#124—611no—
422#124—611no—
423#124—611no—
424#124—611no—
425#124—611no—
426#124—611no—
427#124—611no—
428#124—611no—
429#124—1222no—
430#124—1222no—
431#124—1222no—
432#124C4×D6111yescharacteristic, complemented
433#124C22×D6111yescharacteristic
434#123—1222no—
435#123—1222no—
436#123—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439C22⋊Q8—1222no—
440#121—22no—
441#121—1222no—
442#121—1222no—
443#121—1222no—
444#121—1222no—
445#121—1222no—
446#120—22no—
447#120—1222no—
448#120—1222no—
449C4×Q8—1221no—
450C4×D4—1221no—
451C4×D4—1221no—
452C4×D4—1221no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456C4×D4—2444no—
457C4×D4—2444no—
458#117—611no—
459#117—611no—
460#117—1224no—
461#117C4×D6111yescharacteristic, complemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1222no—
468C2×C42—611no—
469C2×C42—611no—
470C2×C42—611no—
471#99—22no—
472#99—614no—
473#99—1224no—
474#99—1224no—
475#99—1222no—
476#99C22×D6114yes—
477C24—612no—
478C24—612no—
479C24D4×D6112yes—
480#41—42no—
481#41—1224no—
482#41—2442no—
483#41—2444no—
484#41—2442no—
485#41—2442no—
486#41—2444no—
487#41—2442no—
488#41—2442no—
489#41—2444no—
490#41—2444no—
491C2×Q8—611no—
492C2×Q8—611no—
493C2×Q8—611no—
494C2×Q8—611no—
495C2×Q8—1221no—
496C2×Q8—1221no—
497C2×Q8—1221no—
498C2×Q8—2442no—
499C2×Q8—2444no—
500C2×Q8—2442no—
501C2×Q8—2442no—
502C2×Q8C2×C4×D6111yescharacteristic
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—42no—
507C2×D4—611no—
508C2×D4—612no—
509C2×D4—612no—
510C2×D4—611no—
511C2×D4—612no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—611no—
515C2×D4—611no—
516C2×D4—1224no—
517C2×D4—1224no—
518C2×D4—1222no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—2442no—
522C2×D4—2442no—
523C2×D4—2444no—
524C2×D4—2442no—
525C2×D4—2442no—
526C2×D4C2×C4×D6111yescharacteristic
527C2×D4C2×C4×D6111yescharacteristic
528C2×D4D4×D6112yes—
529C2×D4C23×D6111yescharacteristic
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—612no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—2444no—
546C22×C4—2442no—
547C22×C4C2×C4×D6111yescharacteristic
548C4⋊C4—21no—
549C4⋊C4—1221no—
550C4⋊C4—1221no—
551C4⋊C4—1222no—
552C4⋊C4—1222no—
553C4⋊C4—1222no—
554C4⋊C4—2444no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—21no—
558C22⋊C4—24no—
559C22⋊C4—42no—
560C22⋊C4—1222no—
561C22⋊C4—1222no—
562C22⋊C4—1222no—
563C22⋊C4—1221no—
564C22⋊C4—1221no—
565C22⋊C4—1222no—
566C22⋊C4—1222no—
567C22⋊C4—1222no—
568C22⋊C4—1222no—
569C22⋊C4—1222no—
570C22⋊C4—1224no—
571C22⋊C4—2444no—
572C22⋊C4—2442no—
573C42—611no—
574C42—611no—
575C42—1221no—
576C42—1221no—
577C42—1221no—
578C42—2444no—
579C42C2×C4×D6111yescharacteristic
580C42C2×C4×D6111yescharacteristic
581C23—22no—
582C23—22no—
583C23—21no—
584C23—82no—
585C23—611no—
586C23—612no—
587C23—611no—
588C23—1224no—
589C23—4882no—
590C23—4882no—
591C23—2442no—
592C23C22⋊C4×D6112yes—
593C23C22⋊C4×D6111yescharacteristic
594C23C2×D4×D6112yes—
595Q8—41no—
596Q8—1222no—
597Q8—2441no—
598Q8—2441no—
599Q8—2441no—
600Q8—2442no—
601Q8—2442no—
602Q8—2442no—
603D4—41no—
604D4—42no—
605D4—41no—
606D4—41no—
607D4—42no—
608D4—82no—
609D4—82no—
610D4—614no—
611D4—1222no—
612D4—1224no—
613D4—1224no—
614D4—1222no—
615D4—1222no—
616D4—1222no—
617D4—4882no—
618D4—2441no—
619D4—2442no—
620D4—2442no—
621D4—2442no—
622D4—2442no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—42no—
628C2×C4—44no—
629C2×C4—162no—
630C2×C4—611no—
631C2×C4—611no—
632C2×C4—612no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1224no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—9764no—
641C2×C4—9762no—
642C2×C4—4881no—
643C2×C4—4881no—
644C2×C4—4881no—
645C2×C4—2442no—
646C2×C4—2442no—
647C2×C4—2442no—
648C2×C4—2442no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2444no—
652C2×C4—2442no—
653C2×C4C22⋊C4×D6111yescharacteristic
654C2×C4C22×C4×D6111yescharacteristic
655C22—22no—
656C22—22no—
657C22—41no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—41no—
662C22—82no—
663C22—82no—
664C22—612no—
665C22—1221no—
666C22—1222no—
667C22—9762no—
668C22—4884no—
669C22—2441no—
670C22—2441no—
671C22—2442no—
672C22#99×D6112yes—
673C22C2×C22⋊C4×D6111yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—84no—
680C4—612no—
681C4—1221no—
682C4—1222no—
683C4—4884no—
684C4—2441no—
685C4—2441no—
686C4—2441no—
687C4—2441no—
688C2—21no—
689C2—22no—
690C2—42no—
691C2—42no—
692C2—81no—
693C2—1222no—
694C2—2441no—
695C2—2442no—
696C2C2×#99×D6111yescharacteristic
subgroupG/H
centerC2C2×#99×D61
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC61×#2127C2
socleC2×C61C22×#99
prime radical#21459611C2
cosocleC2×D4×C61C24
hypercenter#2127D61
hypocenterC61#33361
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ #2127

Complements

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

NH ≅ G/Ntype
2. #21454277C2semidirect
3. #21447492C2semidirect
4. #21447488C2semidirect
5. #21447485C2semidirect
6. #21447481C2semidirect
7. C2×#16839556C2semidirect
8. #354×D61C2semidirect
9. C61×#2127C2semidirect
10. C2×#14519824C4semidirect
16. #16840338C4semidirect
17. #16840332C4semidirect
19. #16840325C4semidirect
21. #16840310C4semidirect
23. #16840308C4semidirect
25. #124×D61C4semidirect
28. #16840230C4semidirect
35. #16839557C22semidirect
36. #16839556C22semidirect
37. #16839556C22semidirect
38. #16839555C22semidirect
41. C61×#354C22semidirect
42. C61×#353C22semidirect
51. C2×#11758224C2×C4semidirect
52. C2×#11758224C2×C4semidirect
56. C22×Dic122C2×C4semidirect
57. C2×Q8×D61C2×C4semidirect
58. C2×Q8×D61C2×C4semidirect
64. #14519777C2×C4semidirect
65. #14519777C2×C4semidirect
66. #14519775C2×C4semidirect
67. #14519773C2×C4semidirect
68. #14519766C2×C4semidirect
69. #14519765C2×C4semidirect
70. #14519765C2×C4semidirect
72. #14519764C2×C4semidirect
73. #14519764C2×C4semidirect
74. #14519764C2×C4semidirect
101. #14519734C2×C4semidirect
102. #14519734C2×C4semidirect
109. C2×C4×Dic61C2×C4semidirect
110. C42×D61C2×C4semidirect
111. C42×D61C2×C4semidirect
116. C2×#41×C61C2×C4semidirect
118. #127×C61C2×C4semidirect
120. #124×C61C2×C4semidirect
124. #117×C61C2×C4semidirect
345. #2127D61semidirect
388. #354C2×D61semidirect
390. #353C2×D61semidirect
391. C61#33361semidirect
404. C2×#41C4×D61semidirect
419. #127C4×D61semidirect
432. #124C4×D61semidirect
461. #117C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214596112
#214542772
#214474922
#214474882
#214474852
#214474812
C2×#168395562
#354×D612
C61×#21272
#3336161