Finite Group Databasebeta

← #10828778

Subgroups — #10828778

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5565C211yesmaximal, characteristic
2C3×#2485C211yesmaximal, characteristic, complemented
3C2×#5003C211yesmaximal, characteristic, complemented
4C2×#4998C211yesmaximal, characteristic, complemented
5#71610C211yesmaximal, characteristic, complemented
6#69626C211yesmaximal, characteristic, complemented
7#69625C211yesmaximal, characteristic, complemented
8#69606C211yesmaximal, characteristic, complemented
9#69606C211yesmaximal, characteristic, complemented
10#69524C211yesmaximal, characteristic, complemented
11#69523C211yesmaximal, characteristic, complemented
12#69515C211yesmaximal, characteristic, complemented
13#69505C211yesmaximal, characteristic, complemented
14#69504C211yesmaximal, characteristic, complemented
15#69503C211yesmaximal, characteristic, complemented
16#24090—31nomaximal, Sylow
17C2×C3×C4×D4C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×#939—21no—
20C2×#930C2211yescharacteristic
21C2×#930C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C22×C4⋊Dic3C2211yescharacteristic
24C23×C3⋊C8C2211yescharacteristic
25#5565—24no—
26#5565—24no—
27C2×#898—21no—
28C2×#883—21no—
29C2×#67⋊C4—21no—
30C2×C4×D12C2211yescharacteristic
31C2×#870C2211yescharacteristic
32C3×#397—21no—
33C3×#394—21no—
34C3×#389C2211yescharacteristic
35C3×#389C2211yescharacteristic
36C3×#388—21no—
37C3×#387—21no—
38C3×#380C2211yescharacteristic
39C3×#380C2211yescharacteristic
40C3×#380C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×#830C2211yescharacteristic
43C2×#830C2211yescharacteristic
44#5003—24no—
45#4998—24no—
46C2×#809C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#808C2211yescharacteristic
51C2×#808C2211yescharacteristic
52C2×#808C2211yescharacteristic
53C2×#807C2211yescharacteristic
54C2×#807C2211yescharacteristic
55C2×#807C2211yescharacteristic
56#4529C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#553—31no—
65C2×#482—31no—
66C2×#427—31no—
67#2485D311yescharacteristic, complemented
68#2059—31no—
69#2059—31no—
70#2034—31no—
71#2033—31no—
72#1893—31no—
73#1869—31no—
74#1864—31no—
75#1862—31no—
76#1853—31no—
77#1852—31no—
78#1825—31no—
79C22×C3×D4D411yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×#67—21no—
84C23×Dic3—21no—
85C22×D12C2311yescharacteristic
86C22×C4×D3—21no—
87C3×C4×D4—22no—
88C3×C4×D4—22no—
89C3×#117—22no—
90C3×#117—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×#217—21no—
107#939—28no—
108#930—22no—
109#930—22no—
110#930—22no—
111#930D414yes—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115#926—22no—
116#926D414yes—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3—22no—
119C2×C4⋊Dic3—22no—
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×C4×Dic3—21no—
126C22×C3⋊C8—22no—
127C22×C3⋊C8—22no—
128C22×C3⋊C8—22no—
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133#898—28no—
134#883—28no—
135#67⋊C4—28no—
136C4×D12—22no—
137C4×D12—22no—
138#870—22no—
139#870—22no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145#830—22no—
146#830—22no—
147#830—22no—
148#809—22no—
149#809—22no—
150#809—22no—
151#809—22no—
152#808—22no—
153#808—22no—
154#808—22no—
155#807—22no—
156#807—22no—
157#807—22no—
158C23×C8—31no—
159#553—64no—
160#553—64no—
161C2×#126—61no—
162C2×#125—31no—
163C2×#123—61no—
164C2×#121—31no—
165C2×#121—31no—
166C2×#121—61no—
167C2×C4×D4—31no—
168C2×C4×D4—61no—
169C2×C4×D4C2×D311yescharacteristic
170C2×#117—31no—
171C2×#117C2×D311yescharacteristic
172C22×C4⋊C4—31no—
173#482—64no—
174#427—64no—
175C2×#107—31no—
176C2×#107—31no—
177C2×#107—31no—
178C2×#106—31no—
179C2×#106—31no—
180C2×#106—31no—
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×C22⋊C8—31no—
186C2×C22⋊C8—31no—
187C2×C22⋊C8—31no—
188#397—21no—
189#394—21no—
190#389C2×D311yescharacteristic
191#389C2×D311yescharacteristic
192#388—21no—
193#387—21no—
194#380C2×D311yescharacteristic
195#380C2×D311yescharacteristic
196#380C2×D311yescharacteristic
197#340—31no—
198#340—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336—31no—
205C24×C3C2×D411yescharacteristic
206C24×C3C2×D411yescharacteristic
207C23×D3—21no—
208C2×C3×D4—22no—
209C2×C3×D4—22no—
210C2×C3×D4—41no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4C2×D412yes—
226C22×C3×C4C2×D412yes—
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C2×#67—24no—
233C2×#67—24no—
234C2×#67—42no—
235C2×#67—42no—
236C2×#67—81no—
237C2×#67—81no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3—24no—
242C22×Dic3—81no—
243C22×Dic3—81no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12—21no—
247C2×D12—21no—
248C2×D12—21no—
249C2×D12C2×D412yes—
250C2×C4×D3—24no—
251C2×C4×D3—81no—
252C2×C4×D3—81no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—81no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—81no—
269C3×C22⋊C4—81no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—42no—
273#217—24no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277C4⋊Dic3—24no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3C2×D412yes—
282C4⋊Dic3C2×D412yes—
283C4⋊Dic3C2×D412yes—
284Dic3⋊C4—24no—
285Dic3⋊C4—24no—
286C4×Dic3—24no—
287C2×C3⋊C8—28no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8#4112yes—
299C2×C3⋊C8#4112yes—
300C22×D4—31no—
301C22×D4—61no—
302C22×D4—61no—
303C22×D4#6711yescharacteristic
304C23×C4—61no—
305C23×C4—61no—
306C23×C4C22×D311yescharacteristic
307C23×C4C22×D311yescharacteristic
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—31no—
312C22×C8—62no—
313C22×C8—62no—
314C22×C8—62no—
315#126—68no—
316#125—62no—
317#125—62no—
318#123—68no—
319#121—34no—
320#121—62no—
321#121—62no—
322#121—68no—
323#121—62no—
324C4×D4—22no—
325C4×D4—22no—
326C4×D4—62no—
327C4×D4—62no—
328C4×D4—68no—
329#117—22no—
330#117—22no—
331#117—34no—
332#117—62no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—62no—
339C2×C4⋊C4—62no—
340C2×C4⋊C4—61no—
341C2×C4⋊C4—61no—
342C2×C4⋊C4—61no—
343C2×C4⋊C4#6711yescharacteristic
344C2×C4⋊C4C22×D311yescharacteristic
345C2×C4⋊C4C22×D311yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C4⋊C4C22×D311yescharacteristic
348C2×C22⋊C4—21no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—61no—
353C2×C22⋊C4—61no—
354C2×C22⋊C4—61no—
355C2×C22⋊C4—61no—
356C2×C22⋊C4#6711yescharacteristic
357C2×C22⋊C4#6711yescharacteristic
358C2×C42—21no—
359C2×C42—61no—
360C2×C42C22×D311yescharacteristic
361#107—62no—
362#107—62no—
363#107—62no—
364#106—62no—
365#106—62no—
366#106—62no—
367#102—62no—
368#102—62no—
369#102—62no—
370#102—62no—
371C22⋊C8—62no—
372C22⋊C8—62no—
373C22⋊C8—62no—
374#95—21no—
375#95—21no—
376#95—21no—
377#95—21no—
378#95—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3#12012yes—
392C23×C3#13512yes—
393C23×C3C22×D411yescharacteristic
394C22×D3—22no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—41no—
400C22×D3—41no—
401C3×D4—44no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4#12012yes—
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C42−1+411yescharacteristic
439C2×C3×C42−1+411yescharacteristic
440#67—48no—
441#67—84no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—84no—
452D12—22no—
453D12—22no—
454D12—41no—
455D12—41no—
456C4×D3—84no—
457C3⋊C8—22no—
458C3⋊C8—22no—
459C3⋊C8—41no—
460C3⋊C8—41no—
461C24—61no—
462C24C2×#6711yescharacteristic
463C24C2×#6711yescharacteristic
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—32no—
467C2×D4—41no—
468C2×D4—64no—
469C2×D4—64no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4—61no—
474C2×D4—61no—
475C2×D4—122no—
476C2×D4—122no—
477C2×D4—241no—
478C2×D4—241no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—64no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—64no—
498C22×C4—241no—
499C22×C4—241no—
500C22×C4—241no—
501C22×C4—241no—
502C22×C4D3×D412yes—
503C22×C4D3×D412yes—
504C22×C4C2×#6711yescharacteristic
505C22×C4C2×#6711yescharacteristic
506C22×C4C2×#6711yescharacteristic
507C22×C4C2×#6711yescharacteristic
508C22×C4C23×D311yescharacteristic
509C2×C8—32no—
510C2×C8—32no—
511C2×C8—68no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C2×C8—61no—
522C4⋊C4—22no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—32no—
532C4⋊C4—32no—
533C4⋊C4—32no—
534C4⋊C4—42no—
535C4⋊C4—64no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—81no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—64no—
547C22⋊C4—64no—
548C22⋊C4—64no—
549C22⋊C4—64no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—21no—
553C42—21no—
554C42—42no—
555C42—64no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3C2×#12011yescharacteristic
571C22×C3#54711yescharacteristic
572C22×C3#54711yescharacteristic
573C22×C3C2×#13511yescharacteristic
574C22×C3#57511yescharacteristic
575C22×C3#57611yescharacteristic
576C22×C3#57711yescharacteristic
577C2×D3—42no—
578C2×D3—42no—
579C2×D3—42no—
580C2×D3—81no—
581C2×D3—81no—
582C2×D3—81no—
583C2×D3—81no—
584C3×C4—22no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—41no—
588C3×C4—81no—
589C3×C4—81no—
590C3×C4—81no—
591C3×C4—81no—
592C3×C4#52511yescharacteristic
593C3×C4#53611yescharacteristic
594C3×C4#54711yescharacteristic
595C3×C4#54711yescharacteristic
596Dic3—42no—
597Dic3—42no—
598Dic3—42no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—62no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23#93712yes—
619C23#95012yes—
620C23C22×#6711yescharacteristic
621D4—44no—
622D4—62no—
623D4—62no—
624D4—128no—
625D4—121no—
626D4—121no—
627D4—244no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—244no—
669C2×C4—244no—
670C2×C4#93712yes—
671C2×C4C2×D3×D411yescharacteristic
672C2×C4C2×D3×D411yescharacteristic
673C2×C4D3×#4111yescharacteristic
674C2×C4D3×#4111yescharacteristic
675C2×C4#101011yescharacteristic
676C2×C4#101011yescharacteristic
677C8—62no—
678C8—62no—
679C8—121no—
680C8—121no—
681C2×C3—42no—
682C2×C3—42no—
683C2×C3#240611yescharacteristic
684C2×C3#300211yescharacteristic
685C2×C3#301211yescharacteristic
686C2×C3#333711yescharacteristic
687C2×C3#333911yescharacteristic
688C2×C3#334711yescharacteristic
689C2×C3#335011yescharacteristic
690D3—82no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—122no—
706C22—122no—
707C22—122no—
708C22—241no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22C2×#93711yescharacteristic
713C22C2×#95011yescharacteristic
714C22#582211yescharacteristic
715C22#582411yescharacteristic
716C22#582411yescharacteristic
717C22#583511yescharacteristic
718C22#583711yescharacteristic
719C4—22no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—81no—
724C4—81no—
725C4—81no—
726C4—81no—
727C4—122no—
728C4—122no—
729C4—122no—
730C4#564811yescharacteristic
731C4#565511yescharacteristic
732C4#565511yescharacteristic
733C4#565611yescharacteristic
734C3#2409011yescharacteristic, complemented, Sylow
735C2—42no—
736C2—42no—
737C2—242no—
738C2#8284111yescharacteristic
739C2#8292611yescharacteristic
740C2#8342411yescharacteristic
741C2#8359111yescharacteristic
742C2#8360711yescharacteristic
743C2#8364811yescharacteristic
744C2#8366111yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2485C2
socleC23×C3C22×D4
prime radicalC2×#5565C2
hypercenter#2485D3
hypocenterC3#24090
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2485

Complements

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

NH ≅ G/Ntype
2. C3×#2485C2semidirect
3. C2×#5003C2semidirect
4. C2×#4998C2semidirect
5. #71610C2semidirect
6. #69626C2semidirect
7. #69625C2semidirect
8. #69606C2semidirect
9. #69606C2semidirect
10. #69524C2semidirect
11. #69523C2semidirect
12. #69515C2semidirect
13. #69505C2semidirect
14. #69504C2semidirect
15. #69503C2semidirect
67. #2485D3semidirect
734. C3#24090semidirect

Maximal subgroups

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

subgroupindex
C2×#55652
C3×#24852
C2×#50032
C2×#49982
#716102
#696262
#696252
#696062
#695242
#695232
#695152
#695052
#695042
#695032
#240903