Finite Group Databasebeta

← #11013409

Subgroups — #11013409

Order 768.

2890 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5804C212yesmaximal, complemented
2C2×C3×#390C211yesmaximal, characteristic, complemented
3#82199C212yesmaximal, complemented
4#82127C214yesmaximal, complemented
5#82108C214yesmaximal, complemented
6#82080C212yesmaximal, complemented
7#76469C212yesmaximal, complemented
8#76464C211yesmaximal, characteristic, complemented
9#76463C214yesmaximal, complemented
10#76398C211yesmaximal, characteristic, complemented
11#76386C214yesmaximal, complemented
12#76385C212yesmaximal, complemented
13#76379C212yesmaximal, complemented
14#37129—31nomaximal, Sylow
15C23×C3×D4C2211yescharacteristic
16C23×#67C2212yescomplemented
17C22×C3×C4⋊C4C2211yescharacteristic, complemented
18C22×C3×C22⋊C4C2214yescomplemented
19C22×C3×C42C2211yescharacteristic, complemented
20C2×#953C2214yes—
21C22×#217C2212yescomplemented
22#5804—216no—
23C2×#939C2214yes—
24C2×#939C2214yescomplemented
25C2×#937C2212yes—
26C2×#937C2212yescomplemented
27C2×#935C2212yes—
28C2×#935C2212yescomplemented
29C2×#930C2212yes—
30C2×#930C2212yes—
31C2×#929C2214yescomplemented
32C2×#886C2214yescomplemented
33C2×#882C2214yescomplemented
34C3×#390C2211yescharacteristic
35C3×#390C2211yescharacteristic
36C3×#390C2211yescharacteristic, complemented
37C3×#390C2211yescharacteristic, complemented
38C3×#390C2214yescomplemented
39#5213C2214yescomplemented
40#5213C2214yescomplemented
41#5212C2212yescomplemented
42#5212C2212yescomplemented
43#4994C2214yescomplemented
44#4994C2214yescomplemented
45#4991C2212yescomplemented
46#4991C2212yescomplemented
47#4981C2212yescomplemented
48#4981C2212yescomplemented
49#4961C2214yescomplemented
50#4961C2214yescomplemented
51#4961C2214yescomplemented
52#4961C2214yescomplemented
53#4960C2214yescomplemented
54#4960C2214yescomplemented
55#4958C2214yescomplemented
56#4958C2214yescomplemented
57#4955C2214yescomplemented
58#4953C2214yescomplemented
59#4953C2214yescomplemented
60#4950C2214yescomplemented
61#4950C2214yescomplemented
62#4943C2214yescomplemented
63#4940C2214yescomplemented
64#4940C2214yescomplemented
65#4939C2212yescomplemented
66#4939C2212yescomplemented
67#4928C2212yescomplemented
68#4928C2212yescomplemented
69C2×#534—32no—
70#2854—32no—
71#2724—31no—
72#2701—34no—
73#2699—32no—
74#2697—32no—
75#2682—32no—
76#2679—31no—
77#2678—34no—
78#2618—32no—
79#2412—34no—
80#2410—34no—
81C2×#390D311yescharacteristic, complemented
82C25×C3C2312yes—
83C24×D3C2312yes—
84C22×C3×D4—42no—
85C22×C3×D4—42no—
86C22×C3×D4D418yescomplemented
87C22×C3×D4C2311yescharacteristic
88C22×C3×D4C2312yes—
89C22×C3×D4C2311yescharacteristic
90C23×C3×C4C2312yes—
91C23×C3×C4C2311yescharacteristic
92C23×C3×C4C2312yes—
93C22×#67—28no—
94C22×#67—44no—
95C22×#67—44no—
96C22×#67C2314yes—
97C22×#67C2314yes—
98C22×#67C2314yes—
99C22×#67C2314yes—
100C23×Dic3C2314yes—
101C23×Dic3C2312yes—
102C22×D12C2312yes—
103C22×D12C2312yes—
104C2×C3×C4⋊C4—42no—
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2312yes—
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C22⋊C4—48no—
109C2×C3×C22⋊C4C2314yes—
110C2×C3×C22⋊C4C2314yes—
111C2×C3×C22⋊C4C2314yes—
112C2×C3×C22⋊C4C2314yes—
113C2×C3×C42—42no—
114C2×C3×C42C2311yescharacteristic
115C2×C3×C42C2312yes—
116C2×C3×C42C2311yescharacteristic
117#953—216no—
118C2×#217—28no—
119C2×#217C2314yes—
120C2×#217C2314yes—
121C2×#217C2312yes—
122C2×#217C2312yes—
123C2×#217C2314yes—
124#939—216no—
125#939—216no—
126#937—28no—
127#937—28no—
128#935—28no—
129#935—28no—
130#930—44no—
131#930—44no—
132#929—216no—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×C4⋊Dic3C2312yes—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2314yes—
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2314yes—
148#886—48no—
149#882—48no—
150C3⋊#95C2314yes—
151C3⋊#95C2314yes—
152C3⋊#95C2314yes—
153C3⋊#95C2312yes—
154C3⋊#95C2314yes—
155C3⋊#95C2314yes—
156C3⋊#95C2312yes—
157C23×D4—32no—
158C23×D4C2×D311yescharacteristic
159#534—616no—
160C2×#123—32no—
161C2×#123—32no—
162C2×#123—34no—
163C2×#123—34no—
164C2×#121—34no—
165C2×#121—34no—
166C2×#121—32no—
167C2×#121—32no—
168C2×#120—34no—
169C2×#120—32no—
170C2×#120—32no—
171C2×#120—34no—
172C22×C4⋊C4C2×D311yescharacteristic, complemented
173C22×C22⋊C4—32no—
174C22×C22⋊C4C2×D314yescomplemented
175C22×C42C2×D311yescharacteristic, complemented
176#398—32no—
177#398—32no—
178#397—34no—
179#397—34no—
180#396—34no—
181#396—34no—
182#394—32no—
183#394—32no—
184#394—34no—
185#394—34no—
186#394—34no—
187#394—34no—
188#392—34no—
189#392—34no—
190#390—32no—
191#390—32no—
192#390C2×D311yescharacteristic
193#390C2×D311yescharacteristic
194#390C2×D314yescomplemented
195#390C2×D311yescharacteristic, complemented
196#390C2×D311yescharacteristic, complemented
197#389—32no—
198#389—32no—
199#388—34no—
200#388—34no—
201#386—34no—
202#386—34no—
203#386—34no—
204#386—34no—
205#385—34no—
206#385—34no—
207#381—34no—
208#380—32no—
209#380—32no—
210#379—34no—
211C24×C3—24no—
212C24×C3—24no—
213C24×C3—44no—
214C24×C3—44no—
215C24×C3C2×D418yes—
216C24×C3C2412yes—
217C24×C3C2412yes—
218C24×C3C2411yescharacteristic
219C23×D3—24no—
220C23×D3—42no—
221C23×D3—42no—
222C23×D3—44no—
223C23×D3—44no—
224C23×D3C2414yes—
225C2×C3×D4—416no—
226C2×C3×D4—41no—
227C2×C3×D4—42no—
228C2×C3×D4—41no—
229C2×C3×D4—41no—
230C2×C3×D4—42no—
231C2×C3×D4—41no—
232C2×C3×D4C2×D414yes—
233C2×C3×D4C2×D418yes—
234C2×C3×D4C2×D414yes—
235C22×C3×C4—22no—
236C22×C3×C4—22no—
237C22×C3×C4—24no—
238C22×C3×C4—24no—
239C22×C3×C4—24no—
240C22×C3×C4—42no—
241C22×C3×C4—44no—
242C22×C3×C4C2×D414yes—
243C22×C3×C4C2412yes—
244C22×C3×C4C2412yes—
245C22×C3×C4C2412yes—
246C22×C3×C4C2411yescharacteristic
247C22×C3×C4C2411yescharacteristic
248C22×C3×C4C2412yes—
249C2×#67—28no—
250C2×#67—28no—
251C2×#67—28no—
252C2×#67—28no—
253C2×#67—28no—
254C2×#67—28no—
255C2×#67—44no—
256C2×#67—44no—
257C2×#67—44no—
258C2×#67—44no—
259C2×#67—44no—
260C2×#67—44no—
261C2×#67—432no—
262C22×Dic3—24no—
263C22×Dic3—28no—
264C22×Dic3—42no—
265C22×Dic3—42no—
266C22×Dic3—44no—
267C22×Dic3—44no—
268C22×Dic3C2414yes—
269C22×Dic3C2414yes—
270C22×Dic3C2414yes—
271C2×D12—24no—
272C2×D12—44no—
273C2×D12—42no—
274C2×D12—42no—
275C2×D12—42no—
276C3×C4⋊C4—41no—
277C3×C4⋊C4—42no—
278C3×C4⋊C4—41no—
279C3×C22⋊C4—28no—
280C3×C22⋊C4—28no—
281C3×C22⋊C4—44no—
282C3×C22⋊C4—44no—
283C3×C42—41no—
284C3×C42—42no—
285C3×C42—41no—
286#217—28no—
287#217—24no—
288#217—24no—
289#217—28no—
290#217—28no—
291(C2×D3)⋊C4—28no—
292(C2×D3)⋊C4—28no—
293(C2×D3)⋊C4—28no—
294(C2×D3)⋊C4—44no—
295(C2×D3)⋊C4—44no—
296(C2×D3)⋊C4—44no—
297(C2×D3)⋊C4—44no—
298(C2×D3)⋊C4—44no—
299C4⋊Dic3—24no—
300C4⋊Dic3—44no—
301C4⋊Dic3—42no—
302C4⋊Dic3—42no—
303C4⋊Dic3—42no—
304Dic3⋊C4—28no—
305Dic3⋊C4—28no—
306C25—32no—
307C25C22×D312yes—
308C22×D4—34no—
309C22×D4—34no—
310C22×D4—34no—
311C22×D4—34no—
312C22×D4—32no—
313C22×D4—32no—
314C22×D4—42no—
315C22×D4—42no—
316C22×D4—68no—
317C22×D4—124no—
318C22×D4—124no—
319C22×D4D1218yescomplemented
320C22×D4C22×D311yescharacteristic
321C22×D4C22×D312yes—
322C22×D4C22×D311yescharacteristic
323C23×C4—34no—
324C23×C4—32no—
325C23×C4C22×D312yes—
326C23×C4C22×D311yescharacteristic
327C23×C4C22×D312yes—
328#123—68no—
329#123—68no—
330#123—616no—
331#123—128no—
332#121—616no—
333#121—616no—
334#121—124no—
335#121—124no—
336#120—616no—
337#120—68no—
338#120—68no—
339#120—128no—
340C2×C4⋊C4—34no—
341C2×C4⋊C4—34no—
342C2×C4⋊C4—32no—
343C2×C4⋊C4—32no—
344C2×C4⋊C4—32no—
345C2×C4⋊C4—34no—
346C2×C4⋊C4—32no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4C22×D311yescharacteristic
349C2×C4⋊C4C22×D311yescharacteristic
350C2×C4⋊C4C22×D312yes—
351C2×C22⋊C4—34no—
352C2×C22⋊C4—32no—
353C2×C22⋊C4—32no—
354C2×C22⋊C4—34no—
355C2×C22⋊C4—34no—
356C2×C22⋊C4—34no—
357C2×C22⋊C4—34no—
358C2×C22⋊C4—34no—
359C2×C22⋊C4—34no—
360C2×C22⋊C4—34no—
361C2×C22⋊C4—34no—
362C2×C22⋊C4—34no—
363C2×C22⋊C4—34no—
364C2×C22⋊C4—48no—
365C2×C22⋊C4—68no—
366C2×C22⋊C4C22×D314yes—
367C2×C22⋊C4C22×D314yes—
368C2×C22⋊C4C22×D314yes—
369C2×C22⋊C4C22×D314yes—
370C2×C42—42no—
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D312yes—
373C2×C42C22×D311yescharacteristic
374#95—32no—
375#95—34no—
376#95—32no—
377#95—34no—
378#95—34no—
379#95—34no—
380#95—34no—
381C23×C3—22no—
382C23×C3—22no—
383C23×C3—24no—
384C23×C3—24no—
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—24no—
390C23×C3—24no—
391C23×C3—216no—
392C23×C3—416no—
393C23×C3—88no—
394C23×C3—84no—
395C23×C3—84no—
396C23×C3C22×D414yes—
397C23×C3C22×D414yes—
398C23×C3C22×D412yes—
399C23×C3H(5,𝔽2)12yes—
400C23×C3H(5,𝔽2)12yes—
401C23×C3C2511yescharacteristic
402C22×D3—24no—
403C22×D3—24no—
404C22×D3—24no—
405C22×D3—24no—
406C22×D3—24no—
407C22×D3—24no—
408C22×D3—24no—
409C22×D3—48no—
410C22×D3—88no—
411C22×D3—88no—
412C22×D3—84no—
413C22×D3—84no—
414C3×D4—44no—
415C3×D4—48no—
416C3×D4—44no—
417C2×C3×C4—28no—
418C2×C3×C4—22no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—48no—
432C2×C3×C4—84no—
433C2×C3×C4C22×D412yes—
434C2×C3×C4C22×D412yes—
435C2×C3×C4H(5,𝔽2)14yes—
436#67—416no—
437#67—416no—
438#67—88no—
439#67—88no—
440C2×Dic3—24no—
441C2×Dic3—24no—
442C2×Dic3—24no—
443C2×Dic3—24no—
444C2×Dic3—24no—
445C2×Dic3—24no—
446C2×Dic3—24no—
447C2×Dic3—24no—
448C2×Dic3—24no—
449C2×Dic3—48no—
450C2×Dic3—88no—
451D12—84no—
452D12—84no—
453C24—24no—
454C24—24no—
455C24—34no—
456C24—44no—
457C24—44no—
458C24—64no—
459C24—122no—
460C24—122no—
461C24—124no—
462C24—124no—
463C24C2×D1218yes—
464C24C23×D312yes—
465C24C23×D312yes—
466C24C23×D311yescharacteristic
467C2×D4—416no—
468C2×D4—41no—
469C2×D4—42no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4—42no—
473C2×D4—41no—
474C2×D4—68no—
475C2×D4—68no—
476C2×D4—68no—
477C2×D4—68no—
478C2×D4—68no—
479C2×D4—68no—
480C2×D4—64no—
481C2×D4—124no—
482C2×D4—122no—
483C2×D4—122no—
484C2×D4—122no—
485C2×D4—124no—
486C2×D4—124no—
487C2×D4—124no—
488C2×D4—124no—
489C2×D4—124no—
490C2×D4—124no—
491C2×D4—1232no—
492C2×D4C2×D1214yes—
493C2×D4C2×D1218yes—
494C2×D4C2×D1214yes—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—34no—
501C22×C4—34no—
502C22×C4—34no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—64no—
506C22×C4—68no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4—124no—
510C22×C4—124no—
511C22×C4C2×D1214yes—
512C22×C4C23×D312yes—
513C22×C4C23×D312yes—
514C22×C4C23×D312yes—
515C22×C4C23×D311yescharacteristic
516C22×C4C23×D311yescharacteristic
517C22×C4C23×D312yes—
518C4⋊C4—41no—
519C4⋊C4—42no—
520C4⋊C4—41no—
521C4⋊C4—68no—
522C4⋊C4—68no—
523C4⋊C4—64no—
524C4⋊C4—122no—
525C4⋊C4—122no—
526C4⋊C4—124no—
527C4⋊C4—122no—
528C22⋊C4—28no—
529C22⋊C4—28no—
530C22⋊C4—44no—
531C22⋊C4—44no—
532C22⋊C4—64no—
533C22⋊C4—64no—
534C22⋊C4—68no—
535C22⋊C4—68no—
536C22⋊C4—68no—
537C22⋊C4—68no—
538C22⋊C4—68no—
539C22⋊C4—68no—
540C22⋊C4—124no—
541C22⋊C4—124no—
542C22⋊C4—124no—
543C22⋊C4—124no—
544C22⋊C4—124no—
545C42—41no—
546C42—42no—
547C42—41no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—24no—
553C22×C3—24no—
554C22×C3—28no—
555C22×C3—28no—
556C22×C3—44no—
557C22×C3—44no—
558C22×C3—42no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3—816no—
563C22×C3#53414yes—
564C22×C3C23×D411yescharacteristic
565C22×C3C2×H(5,𝔽2)11yescharacteristic
566C22×C3C2×H(5,𝔽2)11yescharacteristic
567C22×C3C2×H(5,𝔽2)12yes—
568C22×C3#58512yes—
569C2×D3—44no—
570C2×D3—44no—
571C2×D3—44no—
572C2×D3—44no—
573C2×D3—44no—
574C2×D3—44no—
575C2×D3—44no—
576C2×D3—816no—
577C3×C4—22no—
578C3×C4—22no—
579C3×C4—24no—
580C3×C4—42no—
581C3×C4—42no—
582C3×C4—42no—
583Dic3—44no—
584Dic3—44no—
585Dic3—44no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—216no—
597C23—416no—
598C23—64no—
599C23—64no—
600C23—64no—
601C23—64no—
602C23—64no—
603C23—64no—
604C23—64no—
605C23—84no—
606C23—84no—
607C23—88no—
608C23—128no—
609C23—248no—
610C23—244no—
611C23—244no—
612C23—248no—
613C23C22×D1214yes—
614C23C22×D1214yes—
615C23C22×D1212yes—
616C23#100412yes—
617C23#100412yes—
618C23C24×D311yescharacteristic
619D4—44no—
620D4—48no—
621D4—44no—
622D4—1216no—
623D4—1216no—
624D4—244no—
625D4—244no—
626D4—248no—
627D4—248no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—28no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—48no—
643C2×C4—64no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—64no—
647C2×C4—64no—
648C2×C4—64no—
649C2×C4—64no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—84no—
653C2×C4—128no—
654C2×C4—248no—
655C2×C4C22×D1212yes—
656C2×C4C22×D1212yes—
657C2×C4#100414yes—
658C2×C3—24no—
659C2×C3—44no—
660C2×C3—44no—
661C2×C3C2×#53411yescharacteristic
662C2×C3#349612yes—
663C2×C3#353412yes—
664C2×C3#354311yescharacteristic
665C2×C3#354511yescharacteristic
666D3—84no—
667C22—24no—
668C22—22no—
669C22—22no—
670C22—24no—
671C22—28no—
672C22—28no—
673C22—24no—
674C22—24no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—44no—
680C22—44no—
681C22—816no—
682C22—124no—
683C22—124no—
684C22—124no—
685C22—124no—
686C22—124no—
687C22—124no—
688C22—124no—
689C22—2416no—
690C22#549314yes—
691C22C23×D1211yescharacteristic
692C22C2×#100412yes—
693C22C2×#100411yescharacteristic
694C22C2×#100411yescharacteristic
695C22#596412yes—
696C4—22no—
697C4—22no—
698C4—24no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—124no—
703C4—124no—
704C4—124no—
705C3#3712911yescharacteristic, complemented, Sylow
706C2—24no—
707C2—44no—
708C2—44no—
709C2—244no—
710C2C2×#549311yescharacteristic
711C2#8578612yes—
712C2#8595412yes—
713C2#8607911yescharacteristic
714C2#8619711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#390C2
hypercenterC2×#390D3
hypocenterC3#37129
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
1. C2×#5804C2semidirect
2. C2×C3×#390C2semidirect
3. #82199C2semidirect
4. #82127C2semidirect
5. #82108C2semidirect
6. #82080C2semidirect
7. #76469C2semidirect
8. #76464C2semidirect
9. #76463C2semidirect
10. #76398C2semidirect
11. #76386C2semidirect
12. #76385C2semidirect
13. #76379C2semidirect
16. C23×#67C22semidirect
17. C22×C3×C4⋊C4C22semidirect
18. C22×C3×C22⋊C4C22semidirect
19. C22×C3×C42C22semidirect
21. C22×#217C22semidirect
24. C2×#939C22semidirect
26. C2×#937C22semidirect
28. C2×#935C22semidirect
31. C2×#929C22semidirect
32. C2×#886C22semidirect
33. C2×#882C22semidirect
36. C3×#390C22semidirect
37. C3×#390C22semidirect
38. C3×#390C22semidirect
39. #5213C22semidirect
40. #5213C22semidirect
41. #5212C22semidirect
42. #5212C22semidirect
43. #4994C22semidirect
44. #4994C22semidirect
45. #4991C22semidirect
46. #4991C22semidirect
47. #4981C22semidirect
48. #4981C22semidirect
49. #4961C22semidirect
50. #4961C22semidirect
51. #4961C22semidirect
52. #4961C22semidirect
53. #4960C22semidirect
54. #4960C22semidirect
55. #4958C22semidirect
56. #4958C22semidirect
57. #4955C22semidirect
58. #4953C22semidirect
59. #4953C22semidirect
60. #4950C22semidirect
61. #4950C22semidirect
62. #4943C22semidirect
63. #4940C22semidirect
64. #4940C22semidirect
65. #4939C22semidirect
66. #4939C22semidirect
67. #4928C22semidirect
68. #4928C22semidirect
81. C2×#390D3semidirect
86. C22×C3×D4D4semidirect
172. C22×C4⋊C4C2×D3semidirect
174. C22×C22⋊C4C2×D3semidirect
175. C22×C42C2×D3semidirect
194. #390C2×D3semidirect
195. #390C2×D3semidirect
196. #390C2×D3semidirect
319. C22×D4D12semidirect
705. C3#37129semidirect

Maximal subgroups

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

subgroupindex
C2×#58042
C2×C3×#3902
#821992
#821272
#821082
#820802
#764692
#764642
#764632
#763982
#763862
#763852
#763792
#371293