Finite Group Databasebeta

← #11024908

Subgroups — #11024908

Order 768.

3312 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#127C211yesmaximal, characteristic, complemented
2C2×#5719C211yesmaximal, characteristic, complemented
3#84053C212yesmaximal, complemented
4#84048C214yesmaximal, complemented
5#84047C214yesmaximal, complemented
6D4×#217C212yesmaximal, complemented
7#83189C211yesmaximal, characteristic, complemented
8#83186C212yesmaximal, complemented
9#83183C214yesmaximal, complemented
10#83182C214yesmaximal, complemented
11#83180C211yesmaximal, characteristic, complemented
12#83176C212yesmaximal, complemented
13#83172C211yesmaximal, characteristic, complemented
14#82074C211yesmaximal, characteristic, complemented
15#82065C211yesmaximal, characteristic, complemented
16#37694—31nomaximal, Sylow
17C23×C3×D4C2212yes—
18C23×C3×D4C2214yes—
19C2×C3×#127—28no—
20C2×C3×#127C2212yes—
21C2×C3×#127C2211yescharacteristic
22C2×C3×#127C2214yes—
23C2×C3×#127C2211yescharacteristic
24C22×C3×C42C2211yescharacteristic
25C2×#953C2214yes—
26C22×#217C2214yes—
27C2×#939C2214yescomplemented
28C2×#939C2214yescomplemented
29C2×#938C2212yescomplemented
30C2×#938C2212yescomplemented
31C2×#935C2214yescomplemented
32C2×#935C2214yescomplemented
33C2×D4×Dic3C2212yescomplemented
34C2×D4×Dic3C2212yescomplemented
35C2×C4×#67C2211yescharacteristic
36#5719—28no—
37C2×#872C2211yescharacteristic, complemented
38C2×#870C2211yescharacteristic, complemented
39#5247C2214yes—
40#5247C2214yes—
41#5223C2214yescomplemented
42#5223C2214yescomplemented
43#5223C2214yescomplemented
44#5222C2214yescomplemented
45#5222C2214yescomplemented
46#5222C2214yescomplemented
47#5222C2214yescomplemented
48#5222C2214yescomplemented
49#5222C2214yescomplemented
50#5222C2214yescomplemented
51#5221C2212yescomplemented
52#5221C2212yescomplemented
53#5221C2212yescomplemented
54#5221C2212yescomplemented
55#5220C2214yescomplemented
56#5220C2214yescomplemented
57#5220C2214yescomplemented
58#5220C2214yescomplemented
59#5220C2214yescomplemented
60#5220C2214yescomplemented
61#5213C2212yes—
62#5212C2212yes—
63#5210C2212yes—
64#5210C2214yes—
65C4×#217C2211yescharacteristic
66#4940C2212yescomplemented
67C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
68#4936C2211yescharacteristic, complemented
69#4933C2212yescomplemented
70#4933C2214yescomplemented
71#4932C2211yescharacteristic, complemented
72C4×Dic3⋊C4C2211yescharacteristic, complemented
73#4928C2212yescomplemented
74C2×#540—31no—
75C22×#127D311yescharacteristic, complemented
76#2851—31no—
77#2709—34no—
78#2673—34no—
79#2641—31no—
80#2619—31no—
81#2445—32no—
82#2428—32no—
83#2410—34no—
84#2408—32no—
85#2405—34no—
86D4×C22⋊C4—32no—
87#2328—31no—
88#2290—31no—
89C25×C3C2314yes—
90C22×C3×D4—28no—
91C22×C3×D4—216no—
92C22×C3×D4—28no—
93C22×C3×D4—44no—
94C22×C3×D4—48no—
95C22×C3×D4—48no—
96C22×C3×D4C2312yes—
97C22×C3×D4C2314yes—
98C22×C3×D4C2314yes—
99C22×C3×D4C2314yes—
100C22×C3×D4C2312yes—
101C22×C3×D4C2314yes—
102C22×C3×D4C2314yes—
103C23×C3×C4C2312yes—
104C23×C3×C4C2311yescharacteristic
105C22×#67C2311yescharacteristic
106C22×#67C2314yes—
107C22×#67C2314yes—
108C23×Dic3C2314yes—
109C23×Dic3C2314yes—
110C22×C4×D3C2311yescharacteristic
111C3×#127—28no—
112C3×#127—216no—
113C3×#127—24no—
114C3×#127D418yescomplemented
115C2×C3×C42—24no—
116C2×C3×C42C2311yescharacteristic
117C2×C3×C42C2312yes—
118C2×C3×C42C2311yescharacteristic
119#953—48no—
120C2×#217—48no—
121C2×#217C2312yes—
122C2×#217C2314yes—
123C2×#217C2311yescharacteristic
124C2×#217C2314yes—
125C2×#217C2314yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134C2×#217C2314yes—
135C2×#217C2314yes—
136#939—216no—
137#939—48no—
138#938—28no—
139#938—44no—
140#935—216no—
141#935—48no—
142D4×Dic3—28no—
143D4×Dic3—44no—
144C4×#67—24no—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2311yescharacteristic
147C2×(C2×D3)⋊C4C2312yes—
148C2×C4⋊Dic3C2312yes—
149C2×C4⋊Dic3C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2312yes—
152C2×Dic3⋊C4C2311yescharacteristic
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2312yes—
155C2×C4×Dic3C2311yescharacteristic
156C2×C4×Dic3C2311yescharacteristic
157C2×C4×Dic3C2311yescharacteristic
158#872—24no—
159#870—24no—
160C3⋊#95C2314yes—
161C3⋊#95C2312yes—
162C3⋊#95C2312yes—
163C3⋊#95C2312yes—
164C3⋊#95C2314yes—
165C3⋊#95C2314yes—
166C3⋊#95C2312yes—
167C3⋊#95C2312yes—
168C23×D4C2×D312yes—
169C23×D4C2×D314yes—
170#540—68no—
171C2×#127—28no—
172C2×#127C2×D311yescharacteristic
173C2×#127C2×D314yes—
174C2×#127C2×D312yes—
175C2×#127C2×D311yescharacteristic
176C2×#125—31no—
177C2×#123—34no—
178C2×#123—34no—
179C2×#121—32no—
180C2×#121—34no—
181C2×#121—32no—
182C2×#121—34no—
183C2×#120—34no—
184C2×C4×D4—32no—
185C2×C4×D4—31no—
186C2×C4×D4—32no—
187C2×#117—31no—
188C22×C22⋊C4—34no—
189C22×C42C2×D311yescharacteristic
190#394—34no—
191#394—34no—
192#394—34no—
193#394—34no—
194#394—34no—
195#394—34no—
196#394—34no—
197#392—34no—
198#392—34no—
199#392—34no—
200#390—32no—
201#390—32no—
202#390—32no—
203#390—32no—
204#389—32no—
205#388—32no—
206#387—34no—
207#387—32no—
208#386—34no—
209#386—34no—
210#386—34no—
211#386—34no—
212#386—34no—
213#386—34no—
214#386—32no—
215#385—34no—
216#385—32no—
217#382—31no—
218#380—32no—
219#379—34no—
220#379—34no—
221C4×C4⋊C4—31no—
222C4×C22⋊C4—31no—
223C4×C22⋊C4—31no—
224#376—31no—
225C24×C3—28no—
226C24×C3—28no—
227C24×C3—28no—
228C24×C3—28no—
229C24×C3—44no—
230C24×C3—44no—
231C24×C3—44no—
232C24×C3C2414yes—
233C24×C3C2414yes—
234C24×C3C2411yescharacteristic
235C23×D3C2411yescharacteristic
236C2×C3×D4—28no—
237C2×C3×D4—28no—
238C2×C3×D4—28no—
239C2×C3×D4—28no—
240C2×C3×D4—24no—
241C2×C3×D4—24no—
242C2×C3×D4—28no—
243C2×C3×D4—24no—
244C2×C3×D4—24no—
245C2×C3×D4—28no—
246C2×C3×D4—24no—
247C2×C3×D4—28no—
248C2×C3×D4—432no—
249C2×C3×D4—44no—
250C2×C3×D4—44no—
251C2×C3×D4—44no—
252C2×C3×D4—44no—
253C2×C3×D4—44no—
254C2×C3×D4—44no—
255C2×C3×D4—44no—
256C2×C3×D4—464no—
257C2×C3×D4C2×D418yes—
258C2×C3×D4C2×D4116yes—
259C22×C3×C4—24no—
260C22×C3×C4—24no—
261C22×C3×C4—22no—
262C22×C3×C4—24no—
263C22×C3×C4—22no—
264C22×C3×C4#4114yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2411yescharacteristic
267C22×C3×C4C2412yes—
268C22×C3×C4C2411yescharacteristic
269C2×#67—22no—
270C2×#67—24no—
271C2×#67—28no—
272C2×#67—44no—
273C2×#67—44no—
274C2×#67—44no—
275C2×#67—44no—
276C2×#67—44no—
277C22×Dic3—28no—
278C22×Dic3—44no—
279C22×Dic3—44no—
280C22×Dic3—44no—
281C22×Dic3—44no—
282C22×Dic3—44no—
283C22×Dic3C2411yescharacteristic
284C22×Dic3C2412yes—
285C22×Dic3C2414yes—
286C22×Dic3C2411yescharacteristic
287C22×Dic3C2412yes—
288C22×Dic3C2414yes—
289C22×Dic3C2411yescharacteristic
290C2×C4×D3—22no—
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C3×C42—24no—
294C3×C42—22no—
295C3×C42C2×D414yes—
296#217—28no—
297#217—28no—
298#217—22no—
299#217—24no—
300#217—28no—
301#217—44no—
302#217—44no—
303#217—44no—
304#217—44no—
305#217—44no—
306#217—44no—
307#217—44no—
308#217—44no—
309#217—44no—
310#217—44no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—22no—
313(C2×D3)⋊C4—24no—
314C4⋊Dic3—24no—
315C4⋊Dic3—24no—
316Dic3⋊C4—28no—
317Dic3⋊C4—24no—
318Dic3⋊C4—22no—
319Dic3⋊C4—24no—
320Dic3⋊C4—28no—
321C4×Dic3—22no—
322C4×Dic3—22no—
323C4×Dic3—22no—
324C25C22×D314yes—
325C22×D4—28no—
326C22×D4—216no—
327C22×D4—28no—
328C22×D4—31no—
329C22×D4—34no—
330C22×D4—34no—
331C22×D4—44no—
332C22×D4—48no—
333C22×D4—48no—
334C22×D4C22×D312yes—
335C22×D4C22×D314yes—
336C22×D4C22×D314yes—
337C22×D4C22×D314yes—
338C22×D4C22×D312yes—
339C22×D4C22×D314yes—
340C22×D4C22×D314yes—
341C23×C4—34no—
342C23×C4—34no—
343C23×C4—31no—
344C23×C4C22×D312yes—
345C23×C4C22×D311yescharacteristic
346#127—28no—
347#127—216no—
348#127—24no—
349#127#6718yescomplemented
350#125—64no—
351#123—616no—
352#123—128no—
353#121—68no—
354#121—616no—
355#121—128no—
356#121—124no—
357#120—128no—
358C4×D4—68no—
359C4×D4—64no—
360C4×D4—124no—
361#117—64no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—34no—
367C2×C4⋊C4—34no—
368C2×C4⋊C4—32no—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—34no—
371C2×C22⋊C4—34no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—34no—
374C2×C22⋊C4—32no—
375C2×C22⋊C4—31no—
376C2×C22⋊C4—32no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—34no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—34no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—128no—
388C2×C42—24no—
389C2×C42—31no—
390C2×C42—31no—
391C2×C42—31no—
392C2×C42C22×D311yescharacteristic
393C2×C42C22×D312yes—
394C2×C42C22×D311yescharacteristic
395#95—32no—
396#95—32no—
397#95—32no—
398#95—32no—
399#95—32no—
400#95—34no—
401#95—34no—
402#95—34no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—22no—
406C23×C3—24no—
407C23×C3—24no—
408C23×C3—24no—
409C23×C3—24no—
410C23×C3—24no—
411C23×C3—24no—
412C23×C3—24no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—24no—
416C23×C3—24no—
417C23×C3—24no—
418C23×C3—24no—
419C23×C3—416no—
420C23×C3—416no—
421C23×C3—416no—
422C23×C3—416no—
423C23×C3—88no—
424C23×C3—88no—
425C23×C3—88no—
426C23×C3C22×D418yes—
427C23×C3C2×#4112yes—
428C23×C3H(5,𝔽2)14yes—
429C23×C3C2511yescharacteristic
430C22×D3—21no—
431C22×D3—21no—
432C22×D3—22no—
433C22×D3—21no—
434C22×D3—22no—
435C3×D4—216no—
436C3×D4—416no—
437C3×D4—416no—
438C3×D4—416no—
439C3×D4—416no—
440C3×D4—416no—
441C3×D4—48no—
442C2×C3×C4—216no—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—21no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—28no—
450C2×C3×C4C22×D414yes—
451C2×C3×C4C22×D412yes—
452C2×C3×C4C2×#4112yes—
453C2×C3×C4C2×#4112yes—
454C2×C3×C4H(5,𝔽2)14yes—
455C2×C3×C4H(5,𝔽2)12yes—
456#67—44no—
457#67—88no—
458#67—88no—
459C2×Dic3—22no—
460C2×Dic3—24no—
461C2×Dic3—21no—
462C2×Dic3—21no—
463C2×Dic3—21no—
464C2×Dic3—21no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—24no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—24no—
475C2×Dic3—24no—
476C2×Dic3—21no—
477C2×Dic3—22no—
478C2×Dic3—88no—
479C2×Dic3—88no—
480C4×D3—44no—
481C24—28no—
482C24—28no—
483C24—28no—
484C24—28no—
485C24—31no—
486C24—44no—
487C24—44no—
488C24—44no—
489C24C23×D314yes—
490C24C23×D314yes—
491C24C23×D311yescharacteristic
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—28no—
495C2×D4—24no—
496C2×D4—28no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—28no—
500C2×D4—24no—
501C2×D4—28no—
502C2×D4—28no—
503C2×D4—24no—
504C2×D4—432no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—44no—
508C2×D4—44no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—464no—
513C2×D4—62no—
514C2×D4—64no—
515C2×D4—68no—
516C2×D4—124no—
517C2×D4—124no—
518C2×D4—124no—
519C2×D4—124no—
520C2×D4—124no—
521C2×D4C2×#6718yes—
522C2×D4C2×#67116yes—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—31no—
529C22×C4—32no—
530C22×C4—34no—
531C22×C4—31no—
532C22×C4—32no—
533C22×C4—31no—
534C22×C4—34no—
535C22×C4—68no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—124no—
540C22×C4—124no—
541C22×C4—124no—
542C22×C4—124no—
543C22×C4—124no—
544C22×C4#23714yes—
545C22×C4C23×D311yescharacteristic
546C22×C4C23×D312yes—
547C22×C4C23×D312yes—
548C22×C4C23×D311yescharacteristic
549C4⋊C4—62no—
550C4⋊C4—64no—
551C4⋊C4—68no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—64no—
555C4⋊C4—68no—
556C22⋊C4—62no—
557C22⋊C4—64no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—68no—
561C22⋊C4—62no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—124no—
565C22⋊C4—124no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4—124no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C22⋊C4—124no—
573C22⋊C4—124no—
574C42—24no—
575C42—22no—
576C42—62no—
577C42—62no—
578C42—62no—
579C42C2×#6714yes—
580C22×C3—22no—
581C22×C3—24no—
582C22×C3—22no—
583C22×C3—24no—
584C22×C3—28no—
585C22×C3—28no—
586C22×C3—28no—
587C22×C3—44no—
588C22×C3—44no—
589C22×C3—44no—
590C22×C3—44no—
591C22×C3—44no—
592C22×C3—44no—
593C22×C3—44no—
594C22×C3—44no—
595C22×C3—44no—
596C22×C3—44no—
597C22×C3—44no—
598C22×C3—832no—
599C22×C3#54014yescomplemented
600C22×C3C23×D411yescharacteristic
601C22×C3C22×#4111yescharacteristic
602C22×C3C2×H(5,𝔽2)12yes—
603C22×C3C2×H(5,𝔽2)11yescharacteristic
604C22×C3C2×H(5,𝔽2)12yes—
605C2×D3—41no—
606C2×D3—41no—
607C2×D3—42no—
608C2×D3—41no—
609C2×D3—42no—
610C3×C4—22no—
611C3×C4—24no—
612C3×C4—24no—
613C3×C4#54614yes—
614Dic3—41no—
615Dic3—41no—
616Dic3—42no—
617Dic3—44no—
618Dic3—41no—
619Dic3—42no—
620Dic3—44no—
621C23—22no—
622C23—21no—
623C23—21no—
624C23—24no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—24no—
629C23—24no—
630C23—24no—
631C23—24no—
632C23—24no—
633C23—24no—
634C23—24no—
635C23—24no—
636C23—24no—
637C23—416no—
638C23—416no—
639C23—416no—
640C23—416no—
641C23—61no—
642C23—62no—
643C23—61no—
644C23—62no—
645C23—61no—
646C23—88no—
647C23—88no—
648C23—88no—
649C23C2×#23712yes—
650C23#100414yes—
651C23C22×#6718yes—
652C23C24×D311yescharacteristic
653D4—216no—
654D4—416no—
655D4—416no—
656D4—416no—
657D4—416no—
658D4—416no—
659D4—48no—
660D4—124no—
661D4—248no—
662D4—248no—
663C2×C4—216no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—28no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—62no—
678C2×C4—64no—
679C2×C4—64no—
680C2×C4—62no—
681C2×C4—61no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—64no—
685C2×C4—64no—
686C2×C4—64no—
687C2×C4—62no—
688C2×C4—61no—
689C2×C4—64no—
690C2×C4—124no—
691C2×C4—248no—
692C2×C4—248no—
693C2×C4C2×#23712yes—
694C2×C4C2×#23712yes—
695C2×C4#100414yes—
696C2×C4#100412yes—
697C2×C4C22×#6714yes—
698C2×C4C22×#6712yes—
699C2×C3—24no—
700C2×C3—48no—
701C2×C3—84no—
702C2×C3C2×#54011yescharacteristic
703C2×C3C2×#54611yescharacteristic
704C2×C3#348412yes—
705C2×C3#350811yescharacteristic
706C2×C3#354312yes—
707D3—81no—
708C22—22no—
709C22—24no—
710C22—22no—
711C22—24no—
712C22—28no—
713C22—28no—
714C22—28no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—832no—
727C22—121no—
728C22—121no—
729C22—122no—
730C22—121no—
731C22—122no—
732C22#571914yescomplemented
733C22C22×#23711yescharacteristic
734C22C2×#100412yes—
735C22C2×#100412yes—
736C22C2×#100411yescharacteristic
737C22C23×#6711yescharacteristic
738C4—22no—
739C4—24no—
740C4—24no—
741C4—121no—
742C4—121no—
743C4—122no—
744C4—124no—
745C4—121no—
746C4—122no—
747C4—124no—
748C4#580614yes—
749C3#3769411yescharacteristic, complemented, Sylow
750C2—24no—
751C2—48no—
752C2—84no—
753C2—241no—
754C2#8619011yescharacteristic
755C2C2×#571911yescharacteristic
756C2#8619712yes—
757C2C2×#580611yescharacteristic
758C2#8723912yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#127C2
hypercenterC22×#127D3
hypocenterC3#37694
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#127

Complements

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

NH ≅ G/Ntype
1. C22×C3×#127C2semidirect
2. C2×#5719C2semidirect
3. #84053C2semidirect
4. #84048C2semidirect
5. #84047C2semidirect
6. D4×#217C2semidirect
7. #83189C2semidirect
8. #83186C2semidirect
9. #83183C2semidirect
10. #83182C2semidirect
11. #83180C2semidirect
12. #83176C2semidirect
13. #83172C2semidirect
14. #82074C2semidirect
15. #82065C2semidirect
27. C2×#939C22semidirect
28. C2×#939C22semidirect
29. C2×#938C22semidirect
30. C2×#938C22semidirect
31. C2×#935C22semidirect
32. C2×#935C22semidirect
33. C2×D4×Dic3C22semidirect
34. C2×D4×Dic3C22semidirect
37. C2×#872C22semidirect
38. C2×#870C22semidirect
41. #5223C22semidirect
42. #5223C22semidirect
43. #5223C22semidirect
44. #5222C22semidirect
45. #5222C22semidirect
46. #5222C22semidirect
47. #5222C22semidirect
48. #5222C22semidirect
49. #5222C22semidirect
50. #5222C22semidirect
51. #5221C22semidirect
52. #5221C22semidirect
53. #5221C22semidirect
54. #5221C22semidirect
55. #5220C22semidirect
56. #5220C22semidirect
57. #5220C22semidirect
58. #5220C22semidirect
59. #5220C22semidirect
60. #5220C22semidirect
66. #4940C22semidirect
67. C4×(C2×D3)⋊C4C22semidirect
68. #4936C22semidirect
69. #4933C22semidirect
70. #4933C22semidirect
71. #4932C22semidirect
72. C4×Dic3⋊C4C22semidirect
73. #4928C22semidirect
75. C22×#127D3semidirect
114. C3×#127D4semidirect
349. #127#67semidirect
599. C22×C3#540semidirect
732. C22#5719semidirect
749. C3#37694semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1272
C2×#57192
#840532
#840482
#840472
D4×#2172
#831892
#831862
#831832
#831822
#831802
#831762
#831722
#820742
#820652
#376943