Finite Group Databasebeta

← #30547657

Subgroups — #30547657

Order 15616.

2030 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
1C2×#16840390C211yesmaximal, characteristic, complemented
2#21459020C211yesmaximal, characteristic
3#21455683C214yesmaximal, complemented
4#21455672C214yesmaximal, complemented
5#21455662C214yesmaximal, complemented
6#21455651C214yesmaximal, complemented
7#21455642C214yesmaximal, complemented
8#21455635C214yesmaximal, complemented
9#21454409C211yesmaximal, characteristic, complemented
10C2×#16839804C211yesmaximal, characteristic, complemented
11#21454339C211yesmaximal, characteristic
12C2×#16839764C211yesmaximal, characteristic
13C61×#2905C211yesmaximal, characteristic, complemented
14C22×#11758222C2211yescharacteristic
15#16840390—22no—
16#16840390—22no—
17#16840390C2214yes—
18#16840390C2214yescomplemented
19C2×#14519777C2212yescomplemented
20C2×#14519776—21no—
21C2×#14519769C2212yescomplemented
22C2×#14519768—21no—
23C2×#14519754—22no—
24#16840243—21no—
25#16840243—21no—
26#16840242C2212yes—
27#16840242C2212yes—
28#16840239C2212yes—
29#16840236C2212yes—
30#16840235—22no—
31C4×#11758222C2214yes—
32#16840230—22no—
33C2×#14519736C2211yescharacteristic
34C2×#14519736C2211yescharacteristic
35#117×D61—22no—
36C22×C4⋊Dic61C2211yescharacteristic
37#16840070C2218yescomplemented
38#16840070C2218yescomplemented
39#16840063C2218yescomplemented
40#16840063C2218yescomplemented
41#16840058C2218yescomplemented
42#16840053C2218yescomplemented
43#16840048C2218yescomplemented
44#16840043C2218yescomplemented
45#16839804C2214yes—
46#16839804C2212yescomplemented
47#16839804C2214yescomplemented
48#16839804C2212yescomplemented
49#16839804C2212yescomplemented
50#16839804C2212yescomplemented
51#16839800C2214yes—
52C2×#14519711C2212yescomplemented
53C2×#14519709C2212yescomplemented
54#16839772C2212yes—
55#16839768C2212yes—
56#16839764C2212yes—
57#16839764C2212yes—
58#16839764C2214yes—
59#16839764C2214yes—
60#16839759C2214yes—
61C2×#14519702C2212yes—
62C2×#14519699C2212yes—
63C22×M16×C61C2211yescharacteristic
64C22×M16×C61C2211yescharacteristic
65C2×#117×C61C2211yescharacteristic
66C61×#424C2214yes—
67C61×#424C2214yescomplemented
68C61×#423C2214yescomplemented
69C2×#11758222—21no—
70C2×#11758222—21no—
71C2×#11758222—24no—
72C2×#11758222Q818yescomplemented
73C2×#11758222C2312yes—
74C2×#11758222C2312yes—
75C22×Dic122—22no—
76C22×Dic122C2311yescharacteristic
77C22×D244C2311yescharacteristic
78C22×C22⋊D61—21no—
79C23×Dic61—21no—
80C22×C4×D61—21no—
81#14519777—24no—
82#14519777C2318yes—
83#14519776—24no—
84#14519776—24no—
85#14519769—24no—
86#14519769C2318yes—
87#14519768—24no—
88#14519768—24no—
89#14519754—28no—
90#14519754—28no—
91C4×Dic122C2314yes—
92C4×Dic122C2314yes—
93#14519742—22no—
94#14519742—22no—
95C4×D244C2314yes—
96C4×D244C2314yes—
97#14519739—22no—
98#14519739—22no—
99C4×C22⋊D61—24no—
100C4×C22⋊D61—24no—
101#14519737—24no—
102#14519737—24no—
103#14519736—21no—
104#14519736—21no—
105#14519736—21no—
106#14519736—21no—
107#14519736C2312yes—
108#14519736C2312yes—
109#14519736C2312yes—
110#14519736C2312yes—
111#14519735—22no—
112#14519735—22no—
113#14519734—24no—
114#14519733—24no—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—22no—
119C2×C4⋊Dic61C2312yes—
120C2×C4⋊Dic61C2312yes—
121C2×C4⋊Dic61C2312yes—
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×C4⋊Dic61C2311yescharacteristic
126C2×#11758196—22no—
127C2×#11758196—22no—
128C4⋊C4×D61—22no—
129C4⋊C4×D61—22no—
130C2×C22⋊Dic61—21no—
131C2×C22⋊Dic61—21no—
132C22⋊C4×D61—24no—
133C2×C4×Dic61—21no—
134C2×C4×Dic61—21no—
135C42×D61—24no—
136#14519711C2314yes—
137#14519711C2318yes—
138#14519711C2314yes—
139#14519709C2314yes—
140#14519709C2318yes—
141#14519709C2314yes—
142#14519702C2318yes—
143#14519702C2314yes—
144#14519702C2314yes—
145#14519699C2318yes—
146#14519699C2314yes—
147#14519699C2314yes—
148C23×C4×C61C2311yescharacteristic
149C2×M16×C61—24no—
150C2×M16×C61—24no—
151C2×M16×C61C2312yes—
152C2×M16×C61C2312yes—
153C2×M16×C61C2312yes—
154C2×M16×C61C2312yes—
155C22×C8×C61C2312yes—
156C22×C8×C61C2312yes—
157#117×C61D412yes—
158#117×C61D412yes—
159#117×C61C2312yes—
160#117×C61C2312yes—
161C2×C4⋊C4×C61D411yescharacteristic
162C2×C4⋊C4×C61D411yescharacteristic
163C2×C22⋊C4×C61D412yes—
164C2×C42×C61C2312yes—
165C4⋊C8×C61C2318yes—
166C4⋊C8×C61C2318yes—
167C24×C61C2×D411yescharacteristic
168C23×D61—21no—
169C22×C4×C61C2×D412yes—
170C22×C4×C61C2×D412yes—
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×Q814yes—
175C22×C4×C61#4114yes—
176C22×C4×C61C2411yescharacteristic
177C22×C4×C61C2411yescharacteristic
178C22×C4×C61C2411yescharacteristic
179C2×C22⋊D61—28no—
180C2×C22⋊D61—22no—
181C2×C22⋊D61—22no—
182C22×Dic61—21no—
183C22×Dic61—22no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—22no—
187C22×Dic61—22no—
188C22×Dic61—21no—
189C22×Dic61—21no—
190C22×Dic61—82no—
191#11758222—28no—
192#11758222—28no—
193#11758222—24no—
194#11758222—24no—
195#11758222C2×Q818yes—
196#11758222C2×Q818yescomplemented
197C2×D244—21no—
198C2×D244—22no—
199C2×D244C2×Q814yescomplemented
200C2×D244C2412yes—
201C2×C4×D61—28no—
202C2×C4×D61—22no—
203C2×C4×D61—22no—
204C2×C4×D61—24no—
205C2×C4×D61—24no—
206C2×Dic122—21no—
207C2×Dic122—22no—
208C2×Dic122—28no—
209C2×Dic122—84no—
210C2×Dic122C2×Q814yescomplemented
211C2×Dic122C2412yes—
212M16×C61—24no—
213M16×C61—24no—
214M16×C61—24no—
215M16×C61—24no—
216C2×C8×C61—24no—
217C2×C8×C61—24no—
218C2×C8×C61C2414yes—
219C2×C8×C61C2414yes—
220C4⋊C4×C61C2×D412yes—
221C4⋊C4×C61C2×D412yes—
222C4⋊C4×C61C2×D412yes—
223C4⋊C4×C61C2×D412yes—
224C22⋊C4×C61C2×D414yes—
225C22⋊C4×C61C2×D414yes—
226C42×C61C2×D414yes—
227C42×C61C2414yes—
228C22⋊Dic61—22no—
229C22⋊Dic61—22no—
230C22⋊Dic61—22no—
231C22⋊Dic61—22no—
232#11758198—24no—
233#11758198—24no—
234C4⋊Dic61—21no—
235C4⋊Dic61—21no—
236C4⋊Dic61—22no—
237C4⋊Dic61—22no—
238C4⋊Dic61—22no—
239C4⋊Dic61—28no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242C4⋊Dic61C2414yes—
243C4⋊Dic61C2412yes—
244C4⋊Dic61C2412yes—
245C4⋊Dic61C2412yes—
246C4⋊Dic61C2412yes—
247#11758196—24no—
248#11758196—24no—
249#11758196—28no—
250#11758196—28no—
251C4×Dic61—22no—
252C4×Dic61—24no—
253C4×Dic61—24no—
254C4×Dic61—22no—
255C4×Dic61—22no—
256C4×Dic61—22no—
257C23×C61—41no—
258C23×C61—41no—
259C23×C61C22⋊Q814yes—
260C23×C61C22×D411yescharacteristic
261C23×C61C22×D411yescharacteristic
262C23×C61C22×D411yescharacteristic
263C22×D61—22no—
264C22×D61—24no—
265C22×D61—81no—
266C22×D61—81no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61C22⋊Q814yes—
270C2×C4×C61C22⋊Q814yes—
271C2×C4×C61C22⋊Q814yes—
272C2×C4×C61C22×D414yes—
273C2×C4×C61C22×D414yes—
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C22×Q812yes—
278C2×C4×C61C22×Q812yes—
279C2×C4×C61C22×Q812yes—
280C2×C4×C61C2×#4112yes—
281C2×C4×C61C2×#4112yes—
282C2×C4×C61C2×#4112yes—
283C2×C4×C61C2511yescharacteristic
284C22⋊D61—28no—
285C22⋊D61—28no—
286C2×Dic61—24no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—42no—
294C2×Dic61—44no—
295C2×Dic61—42no—
296C2×Dic61—81no—
297C2×Dic61—81no—
298C2×Dic61—82no—
299C2×Dic61—82no—
300D244—24no—
301D244—22no—
302D244C22×Q814yes—
303C4×D61—28no—
304C4×D61—28no—
305C4×D61—84no—
306C4×D61—84no—
307Dic122—24no—
308Dic122—22no—
309Dic122—88no—
310Dic122C22×Q814yes—
311C8×C61—24no—
312C8×C61—24no—
313#60493—611nomaximal, Sylow
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—44no—
321C22×C61C2×C22⋊Q812yes—
322C22×C61C2×C22⋊Q812yes—
323C22×C61C2×C22⋊Q812yes—
324C22×C61C23×D411yescharacteristic
325C2×D61—24no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—84no—
329C4×C61—24no—
330C4×C61—24no—
331C4×C61C2×C22⋊Q812yes—
332C4×C61C2×C22⋊Q812yes—
333C4×C61C2×C22⋊Q812yes—
334C4×C61C23×Q811yescharacteristic
335C4×C61C22×#4111yescharacteristic
336Dic61—24no—
337Dic61—42no—
338Dic61—44no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342C2×#544—611no—
343#3428—611no—
344#3084—614no—
345#3083—614no—
346#3082—614no—
347#3081—614no—
348#3080—614no—
349#3079—614no—
350#2911—611no—
351C2×#428—611no—
352#2905D6111yescharacteristic, complemented
353#2896—611no—
354C2×#417—611no—
355C2×C61—22no—
356C2×C61—22no—
357C2×C61—22no—
358C2×C61C22×C22⋊Q811yescharacteristic
359C2×C61#358511yescharacteristic
360C2×C61#358611yescharacteristic
361D61—44no—
362C22×#41—611no—
363C22×M16C2×D6111yescharacteristic
364C22×M16C2×D6111yescharacteristic
365#544—614no—
366#544—614no—
367#544—1222no—
368#544—1222no—
369C2×C4⋊Q8—612no—
370C2×C4⋊Q8—1221no—
371C2×#125—612no—
372C2×#125—1221no—
373C2×C22⋊Q8—1222no—
374#520—612no—
375#520—612no—
376#520—1221no—
377#520—1221no—
378#519—612no—
379#518—612no—
380#518—1222no—
381C4×#41—614no—
382C4×#41—1222no—
383C2×#117—611no—
384C2×#117—611no—
385C2×#117—1222no—
386C2×#117C2×D6111yescharacteristic
387C22×C4⋊C4—611no—
388#479—618no—
389#479—618no—
390#478—618no—
391#478—618no—
392#477—618no—
393#476—618no—
394#475—618no—
395#474—618no—
396#428—612no—
397#428—614no—
398#428—612no—
399#428—614no—
400#428—612no—
401#428—612no—
402#427—614no—
403C2×#107—612no—
404C2×#106—612no—
405#424C2×D6114yes—
406#424C2×D6114yescomplemented
407#423C2×D6114yescomplemented
408#419—612no—
409#418—612no—
410#417—612no—
411#417—614no—
412#417—612no—
413#417—614no—
414#416—614no—
415C2×#103—612no—
416C2×#102—612no—
417C61#6049311yescharacteristic, complemented, Sylow
418C2×#41—618no—
419C2×#41—612no—
420C2×#41—612no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—1224no—
424C22×Q8—611no—
425C22×Q8—1222no—
426C22×D4—611no—
427C22×D4—1221no—
428C23×C4—1221no—
429C23×C4—1221no—
430C23×C4C22×D6111yescharacteristic
431C2×M16—24no—
432C2×M16—24no—
433C2×M16C22×D6112yes—
434C2×M16C22×D6112yes—
435C2×M16C22×D6112yes—
436C2×M16C22×D6112yes—
437C22×C8C22×D6112yes—
438C22×C8C22×D6112yes—
439C4⋊Q8—618no—
440C4⋊Q8—1224no—
441C4⋊Q8—1224no—
442C4⋊Q8—1224no—
443#125—618no—
444#125—1224no—
445#125—1224no—
446#125—1224no—
447C22⋊Q8—1228no—
448C22⋊Q8—1228no—
449C4×Q8—614no—
450C4×Q8—614no—
451C4×Q8—1222no—
452C4×Q8—1222no—
453C4×D4—614no—
454C4×D4—614no—
455C4×D4—1224no—
456C4×D4—1224no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1224no—
460C4×D4—1224no—
461#117—612no—
462#117—612no—
463#117—612no—
464#117—612no—
465#117—1221no—
466#117—1221no—
467#117—1221no—
468#117—1221no—
469#117—1222no—
470#117—1222no—
471#117—1224no—
472#117—1224no—
473#117D24412yes—
474#117D24412yes—
475#117C22×D6112yes—
476#117C22×D6112yes—
477C2×C4⋊C4—612no—
478C2×C4⋊C4—612no—
479C2×C4⋊C4—612no—
480C2×C4⋊C4—611no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1222no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4—1222no—
491C2×C4⋊C4—1222no—
492C2×C4⋊C4D24411yescharacteristic
493C2×C4⋊C4D24411yescharacteristic
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1224no—
497C2×C22⋊C4D24412yes—
498C2×C42—1221no—
499C2×C42—1221no—
500C2×C42—1224no—
501C2×C42C22×D6112yes—
502#107—618no—
503#107—614no—
504#107—614no—
505#106—618no—
506#106—614no—
507#106—614no—
508C4⋊C8C22×D6118yes—
509C4⋊C8C22×D6118yes—
510#103—618no—
511#103—614no—
512#103—614no—
513#102—618no—
514#102—614no—
515#102—614no—
516C24—1221no—
517C24C2×D24411yescharacteristic
518#41—618no—
519#41—618no—
520#41—1224no—
521#41—1224no—
522#41—1228no—
523#41—1228no—
524C2×Q8—614no—
525C2×Q8—612no—
526C2×Q8—1221no—
527C2×Q8—1228no—
528C2×Q8—1222no—
529C2×Q8—4884no—
530C2×D4—614no—
531C2×D4—612no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1228no—
535C2×D4—1221no—
536C2×D4—1222no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1228no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1222no—
548C22×C4—1224no—
549C22×C4—1224no—
550C22×C4—4882no—
551C22×C4C2×D24412yes—
552C22×C4C2×D24412yes—
553C22×C4C2×D24411yescharacteristic
554C22×C4C2×D24411yescharacteristic
555C22×C4C2×D24411yescharacteristic
556C22×C4#1175822414yes—
557C22×C4Q8×D6114yes—
558C22×C4C23×D6111yescharacteristic
559C22×C4C23×D6111yescharacteristic
560C22×C4C23×D6111yescharacteristic
561M16—24no—
562M16—24no—
563M16—24no—
564M16—24no—
565C2×C8—24no—
566C2×C8—24no—
567C2×C8C23×D6114yes—
568C2×C8C23×D6114yes—
569C4⋊C4—614no—
570C4⋊C4—612no—
571C4⋊C4—612no—
572C4⋊C4—612no—
573C4⋊C4—612no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1222no—
577C4⋊C4—1222no—
578C4⋊C4—1222no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1224no—
582C4⋊C4—1224no—
583C4⋊C4—1228no—
584C4⋊C4—1228no—
585C4⋊C4—1228no—
586C4⋊C4C2×D24412yes—
587C4⋊C4C2×D24412yes—
588C4⋊C4C2×D24412yes—
589C4⋊C4C2×D24412yes—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1224no—
595C22⋊C4—1224no—
596C22⋊C4C2×D24414yes—
597C22⋊C4C2×D24414yes—
598C42—1222no—
599C42—1222no—
600C42—1222no—
601C42—1222no—
602C42—1224no—
603C42—1224no—
604C42C2×D24414yes—
605C42C23×D6114yes—
606C23—41no—
607C23—41no—
608C23—1224no—
609C23—1222no—
610C23—4881no—
611C23—4881no—
612C23#1451975714yes—
613C23C22×D24411yescharacteristic
614C23C22×D24411yescharacteristic
615C23C22×D24411yescharacteristic
616Q8—614no—
617Q8—1224no—
618Q8—1222no—
619Q8—4888no—
620D4—614no—
621D4—1228no—
622D4—1228no—
623D4—1224no—
624D4—1222no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—1224no—
628C2×C4—1222no—
629C2×C4—1228no—
630C2×C4—1228no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1224no—
636C2×C4—4884no—
637C2×C4—4884no—
638C2×C4—4881no—
639C2×C4—4881no—
640C2×C4—4882no—
641C2×C4—4882no—
642C2×C4—2442no—
643C2×C4—2444no—
644C2×C4—2442no—
645C2×C4#1451975714yes—
646C2×C4#1451975714yes—
647C2×C4#1451975714yes—
648C2×C4C22×D24414yes—
649C2×C4C22×D24414yes—
650C2×C4C22×D24411yescharacteristic
651C2×C4C22×D24411yescharacteristic
652C2×C4C22×D24411yescharacteristic
653C2×C4C2×Q8×D6112yes—
654C2×C4C2×Q8×D6112yes—
655C2×C4C2×Q8×D6112yes—
656C2×C4C2×#1175822412yes—
657C2×C4C2×#1175822412yes—
658C2×C4C2×#1175822412yes—
659C2×C4C24×D6111yescharacteristic
660C8—24no—
661C8—24no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—1224no—
670C22—4884no—
671C22—2442no—
672C22—2442no—
673C22C2×#1451975712yes—
674C22C2×#1451975712yes—
675C22C2×#1451975712yes—
676C22C23×D24411yescharacteristic
677C4—24no—
678C4—24no—
679C4—1224no—
680C4—2442no—
681C4—2444no—
682C4—2442no—
683C4—2442no—
684C4—2442no—
685C4C2×#1451975712yes—
686C4C2×#1451975712yes—
687C4C2×#1451975712yes—
688C4C22×Q8×D6111yescharacteristic
689C4C22×#1175822411yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—2444no—
694C2C22×#1451975711yescharacteristic
695C2#2146060011yescharacteristic
696C2#2146060711yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2905C2
socleC22×C61C23×D4
prime radicalC22×#11758222C22
hypercenter#2905D61
hypocenterC61#60493
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#117 ◁ #2905

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
3. #21455683C2semidirect
4. #21455672C2semidirect
5. #21455662C2semidirect
6. #21455651C2semidirect
7. #21455642C2semidirect
8. #21455635C2semidirect
9. #21454409C2semidirect
10. C2×#16839804C2semidirect
13. C61×#2905C2semidirect
18. #16840390C22semidirect
19. C2×#14519777C22semidirect
21. C2×#14519769C22semidirect
37. #16840070C22semidirect
38. #16840070C22semidirect
39. #16840063C22semidirect
40. #16840063C22semidirect
41. #16840058C22semidirect
42. #16840053C22semidirect
43. #16840048C22semidirect
44. #16840043C22semidirect
46. #16839804C22semidirect
47. #16839804C22semidirect
48. #16839804C22semidirect
49. #16839804C22semidirect
50. #16839804C22semidirect
52. C2×#14519711C22semidirect
53. C2×#14519709C22semidirect
67. C61×#424C22semidirect
68. C61×#423C22semidirect
72. C2×#11758222Q8semidirect
196. #11758222C2×Q8semidirect
199. C2×D244C2×Q8semidirect
210. C2×Dic122C2×Q8semidirect
352. #2905D61semidirect
406. #424C2×D61semidirect
407. #423C2×D61semidirect
417. C61#60493semidirect

Maximal subgroups

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

subgroupindex
C2×#168403902
#214590202
#214556832
#214556722
#214556622
#214556512
#214556422
#214556352
#214544092
C2×#168398042
#214543392
C2×#168397642
C61×#29052
#6049361