Finite Group Databasebeta

← #10974307

Subgroups — #10974307

Order 768.

3006 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5521C211yesmaximal, characteristic, complemented
2C22×#884C211yesmaximal, characteristic
3C3×#2482C211yesmaximal, characteristic, complemented
4#82254C211yesmaximal, characteristic, complemented
5#82113C211yesmaximal, characteristic, complemented
6#78103C214yesmaximal, complemented
7#77675C214yesmaximal, complemented
8#75849C214yesmaximal, complemented
9#75848C214yesmaximal, complemented
10D3×#385C212yesmaximal, complemented
11#74455C212yesmaximal, complemented
12#74119C211yesmaximal, characteristic, complemented
13#74074C211yesmaximal, characteristic, complemented
14#73853C212yesmaximal, complemented
15#73849C212yesmaximal, complemented
16#35351—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×D12C2211yescharacteristic
20C23×C4×D3C2211yescharacteristic
21C2×C3×#117C2211yescharacteristic
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C2×#926C2211yescharacteristic
25C22×Dic3⋊C4C2211yescharacteristic
26#5521—28no—
27C2×#893C2212yescomplemented
28C2×#893C2212yescomplemented
29C2×D3×C4⋊C4C2214yescomplemented
30C2×#884—28no—
31C2×#884C2214yes—
32C2×#884C2214yes—
33C2×#883C2214yescomplemented
34C2×D3×C22⋊C4C2212yes—
35C2×D3×C22⋊C4C2212yes—
36C2×D3×C22⋊C4C2212yes—
37C2×C4×D12C2212yescomplemented
38C2×C4×D12C2212yescomplemented
39C3×#399C2212yescomplemented
40C3×#397C2212yescomplemented
41C3×#388C2214yescomplemented
42C3×#385C2212yes—
43C3×#381C2211yescharacteristic
44C3×#379C2212yes—
45#5247C2212yes—
46#5211C2211yescharacteristic
47#5210C2212yes—
48#4992C2214yescomplemented
49#4989C2214yescomplemented
50#4989C2214yescomplemented
51#4985C2212yescomplemented
52#4983C2212yescomplemented
53#4961C2214yescomplemented
54#4959C2214yescomplemented
55#4956C2214yescomplemented
56#4956C2214yescomplemented
57#4956C2214yescomplemented
58#4956C2214yescomplemented
59#4956C2214yescomplemented
60#4955C2212yes—
61#4953C2212yescomplemented
62#4950C2212yes—
63#4949C2212yescomplemented
64#4946C2212yes—
65#4944C2214yescomplemented
66#4943C2212yes—
67#4943C2212yes—
68#4933C2214yescomplemented
69#4675C2214yescomplemented
70#4668C2214yescomplemented
71#4665C2214yescomplemented
72#4665C2214yescomplemented
73#4664C2214yescomplemented
74D3×#95C2214yescomplemented
75#4661C2212yescomplemented
76#4659C2212yescomplemented
77#4653C2214yescomplemented
78C22×#121—31no—
79C2×#518—31no—
80#2484—31no—
81#2484—31no—
82#2483—32no—
83#2482—31no—
84#2482D311yescharacteristic, complemented
85#2444—34no—
86#2444—34no—
87#2443—34no—
88#2443—34no—
89#2405—32no—
90#2308—31no—
91#2308—32no—
92C2×#385—32no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C24×D3C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C22×#67—24no—
99C22×#67—24no—
100C22×#67—28no—
101C22×#67—44no—
102C22×#67C2314yes—
103C22×#67C2314yes—
104C23×Dic3C2311yescharacteristic
105C23×Dic3C2311yescharacteristic
106C22×D12—28no—
107C22×D12D418yes—
108C22×D12C2312yes—
109C22×D12C2312yes—
110C22×C4×D3—24no—
111C22×C4×D3—44no—
112C22×C4×D3C2314yes—
113C22×C4×D3C2312yes—
114C22×C4×D3C2314yes—
115C22×C4×D3C2312yes—
116C22×C4×D3C2312yes—
117C22×C4×D3C2312yes—
118C3×#117—24no—
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C4⋊C4C2314yes—
122C2×C3×C22⋊C4—24no—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2314yes—
128C2×C3×C22⋊C4C2314yes—
129C2×C3×C42C2312yes—
130C2×#217C2312yes—
131C2×#217C2312yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134C2×(C2×D3)⋊C4—24no—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2312yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143#926—24no—
144C2×C4⋊Dic3C2314yes—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2311yescharacteristic
147C2×Dic3⋊C4—24no—
148C2×Dic3⋊C4C2312yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×C4×Dic3C2312yes—
153#893—28no—
154#893—28no—
155D3×C4⋊C4—48no—
156#884—216no—
157#884—216no—
158#883—48no—
159D3×C22⋊C4—28no—
160D3×C22⋊C4—28no—
161D3×C22⋊C4—28no—
162C4×D12—28no—
163C4×D12—28no—
164C3×#95C2312yes—
165C3×#95C2312yes—
166C3×#95C2314yes—
167C3⋊#95C2314yes—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2312yes—
174C3⋊#95C2312yes—
175C3⋊#95C2314yes—
176C23×D4—31no—
177C23×D4—31no—
178C23×D4—31no—
179C24×C4—31no—
180C2×#123—34no—
181C2×#121—34no—
182C2×#121—34no—
183C2×#121—68no—
184#518—68no—
185C2×C4×D4—32no—
186C2×C4×D4—32no—
187C2×C4×D4—32no—
188C2×C4×D4—32no—
189C2×#117—31no—
190C2×#117C2×D311yescharacteristic
191C22×C4⋊C4—31no—
192C22×C4⋊C4—34no—
193C22×C22⋊C4—31no—
194C22×C22⋊C4—32no—
195C22×C22⋊C4—32no—
196C22×C22⋊C4—32no—
197C22×C22⋊C4C2×D311yescharacteristic
198#400—32no—
199#400—32no—
200#399—32no—
201#399C2×D312yescomplemented
202#398—32no—
203#398—32no—
204#397—34no—
205#397—32no—
206#397—34no—
207#397C2×D312yescomplemented
208#394—34no—
209#394—34no—
210#388—34no—
211#388C2×D314yescomplemented
212#387—34no—
213#387—34no—
214#386—34no—
215#386—34no—
216#386—34no—
217#386—34no—
218#386—34no—
219#386—34no—
220#386—34no—
221#385—32no—
222#385—34no—
223#385—34no—
224#385—32no—
225#385—32no—
226#385—34no—
227#385C2×D312yes—
228#381—31no—
229#381—32no—
230#381—32no—
231#381—34no—
232#381C2×D311yescharacteristic
233#379—32no—
234#379—32no—
235#379C2×D312yes—
236C2×#95—34no—
237C24×C3—22no—
238C24×C3—24no—
239C24×C3—42no—
240C24×C3—42no—
241C24×C3C2412yes—
242C24×C3C2411yescharacteristic
243C23×D3—24no—
244C23×D3—42no—
245C23×D3—42no—
246C23×D3—42no—
247C23×D3—42no—
248C23×D3C2×D414yes—
249C23×D3C2×D414yes—
250C23×D3#4118yes—
251C23×D3C2412yes—
252C23×D3C2412yes—
253C22×C3×C4—24no—
254C22×C3×C4—22no—
255C22×C3×C4—42no—
256C22×C3×C4C2×D414yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2414yes—
259C22×C3×C4C2412yes—
260C22×C3×C4C2412yes—
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C2×#67—28no—
264C2×#67—28no—
265C2×#67—28no—
266C2×#67—28no—
267C2×#67—28no—
268C2×#67—44no—
269C2×#67—416no—
270C2×#67—416no—
271C22×Dic3—22no—
272C22×Dic3—24no—
273C22×Dic3—22no—
274C22×Dic3—24no—
275C22×Dic3C2412yes—
276C22×Dic3C2412yes—
277C22×Dic3C2414yes—
278C22×Dic3C2412yes—
279C22×Dic3C2412yes—
280C2×D12—232no—
281C2×D12—24no—
282C2×D12—24no—
283C2×D12—24no—
284C2×D12—24no—
285C2×D12C2×D418yes—
286C2×D12C2×D418yes—
287C2×C4×D3—28no—
288C2×C4×D3—28no—
289C2×C4×D3—28no—
290C2×C4×D3—24no—
291C2×C4×D3—24no—
292C2×C4×D3—24no—
293C2×C4×D3—24no—
294C2×C4×D3—44no—
295C2×C4×D3—44no—
296C2×C4×D3—44no—
297C2×C4×D3—416no—
298C2×C4×D3—44no—
299C2×C4×D3—44no—
300C2×C4×D3—44no—
301C2×C4×D3—44no—
302C3×C4⋊C4—22no—
303C3×C4⋊C4—22no—
304C3×C4⋊C4—44no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4—24no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—24no—
309C3×C22⋊C4—44no—
310C3×C22⋊C4—44no—
311C3×C42—24no—
312#217—24no—
313#217—24no—
314#217—44no—
315#217—44no—
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—28no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—44no—
323(C2×D3)⋊C4—44no—
324C4⋊Dic3—22no—
325C4⋊Dic3—22no—
326C4⋊Dic3—28no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329Dic3⋊C4—28no—
330Dic3⋊C4—44no—
331C4×Dic3—24no—
332C25—31no—
333C25—31no—
334C25C22×D311yescharacteristic
335C22×D4—34no—
336C22×D4—34no—
337C22×D4—38no—
338C22×D4—32no—
339C22×D4—32no—
340C22×D4—68no—
341C22×D4—64no—
342C22×D4—64no—
343C22×D4—68no—
344C22×D4—124no—
345C23×C4—31no—
346C23×C4—31no—
347C23×C4—34no—
348C23×C4—32no—
349C23×C4—34no—
350C23×C4—32no—
351C23×C4—32no—
352C23×C4—32no—
353C23×C4—64no—
354C23×C4—124no—
355C23×C4C22×D311yescharacteristic
356C23×C4C22×D311yescharacteristic
357#123—128no—
358#121—616no—
359#121—616no—
360C4×D4—68no—
361C4×D4—68no—
362C4×D4—68no—
363C4×D4—68no—
364#117—24no—
365#117—64no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—34no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—31no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—64no—
374C2×C4⋊C4—128no—
375C2×C4⋊C4C22×D311yescharacteristic
376C2×C4⋊C4C22×D311yescharacteristic
377C2×C4⋊C4C22×D314yes—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—68no—
392C2×C22⋊C4—68no—
393C2×C22⋊C4—68no—
394C2×C22⋊C4—64no—
395C2×C22⋊C4C22×D312yes—
396C2×C22⋊C4C22×D312yes—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D312yes—
399C2×C22⋊C4C22×D314yes—
400C2×C22⋊C4C22×D314yes—
401C2×C42—32no—
402C2×C42C22×D312yes—
403#95—34no—
404#95—34no—
405#95—34no—
406#95—34no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—32no—
411#95—32no—
412#95C22×D314yes—
413#95C22×D312yes—
414#95C22×D312yes—
415C23×C3—22no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—44no—
423C23×C3—44no—
424C23×C3—44no—
425C23×C3—88no—
426C23×C3C22×D412yes—
427C23×C3C2×#4114yes—
428C23×C3C2511yescharacteristic
429C22×D3—24no—
430C22×D3—24no—
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—24no—
434C22×D3—24no—
435C22×D3—28no—
436C22×D3—44no—
437C22×D3—44no—
438C22×D3—416no—
439C22×D3—44no—
440C22×D3—44no—
441C22×D3—88no—
442C22×D3#123116yescomplemented
443C22×D3C22×D414yes—
444C22×D3C22×D414yes—
445C22×D3C2×#4114yes—
446C22×D3C2×#4114yes—
447C2×C3×C4—28no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—24no—
454C2×C3×C4—24no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—24no—
459C2×C3×C4—44no—
460C2×C3×C4C22×D412yes—
461C2×C3×C4C22×D412yes—
462#67—416no—
463#67—416no—
464C2×Dic3—28no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—24no—
471C2×Dic3—24no—
472C2×Dic3—24no—
473C2×Dic3—24no—
474C2×Dic3—24no—
475C2×Dic3—24no—
476C2×Dic3—44no—
477C2×Dic3H(5,𝔽2)14yes—
478D12—216no—
479D12—216no—
480C4×D3—416no—
481C4×D3—416no—
482C4×D3—84no—
483C4×D3—84no—
484C4×D3—84no—
485C4×D3—84no—
486C24—22no—
487C24—24no—
488C24—32no—
489C24—34no—
490C24—38no—
491C24—32no—
492C24—34no—
493C24—42no—
494C24—42no—
495C24—64no—
496C24—122no—
497C24—122no—
498C24—122no—
499C24—122no—
500C24C23×D312yes—
501C24C23×D311yescharacteristic
502C2×D4—38no—
503C2×D4—38no—
504C2×D4—632no—
505C2×D4—64no—
506C2×D4—64no—
507C2×D4—64no—
508C2×D4—64no—
509C2×D4—68no—
510C2×D4—68no—
511C2×D4—68no—
512C2×D4—68no—
513C2×D4—68no—
514C2×D4—124no—
515C2×D4—1216no—
516C2×D4—1216no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—32no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—34no—
523C22×C4—32no—
524C22×C4—42no—
525C22×C4—68no—
526C22×C4—68no—
527C22×C4—68no—
528C22×C4—64no—
529C22×C4—64no—
530C22×C4—64no—
531C22×C4—64no—
532C22×C4—64no—
533C22×C4—62no—
534C22×C4—62no—
535C22×C4—64no—
536C22×C4—124no—
537C22×C4—124no—
538C22×C4—124no—
539C22×C4—124no—
540C22×C4—124no—
541C22×C4—124no—
542C22×C4—124no—
543C22×C4—1216no—
544C22×C4D3×D414yes—
545C22×C4C23×D312yes—
546C22×C4C23×D314yes—
547C22×C4C23×D312yes—
548C22×C4C23×D312yes—
549C22×C4C23×D311yescharacteristic
550C22×C4C23×D311yescharacteristic
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—44no—
554C4⋊C4—68no—
555C4⋊C4—68no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—62no—
559C4⋊C4—62no—
560C4⋊C4—124no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—64no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—68no—
572C22⋊C4—68no—
573C22⋊C4—64no—
574C22⋊C4—64no—
575C22⋊C4—124no—
576C22⋊C4—124no—
577C22⋊C4—124no—
578C22⋊C4—124no—
579C42—24no—
580C42—64no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—28no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—44no—
588C22×C3—44no—
589C22×C3—88no—
590C22×C3C2×#12314yes—
591C22×C3C23×D411yescharacteristic
592C22×C3C22×#4112yes—
593C22×C3C2×H(5,𝔽2)12yes—
594C22×C3#58512yes—
595C2×D3—24no—
596C2×D3—24no—
597C2×D3—28no—
598C2×D3—28no—
599C2×D3—24no—
600C2×D3—24no—
601C2×D3—24no—
602C2×D3—416no—
603C2×D3—44no—
604C2×D3—44no—
605C2×D3—88no—
606C2×D3C2×#12318yes—
607C3×C4—22no—
608C3×C4—22no—
609C3×C4—42no—
610C3×C4—42no—
611C3×C4—42no—
612C3×C4—44no—
613Dic3—24no—
614Dic3—42no—
615Dic3—42no—
616Dic3—42no—
617Dic3—44no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—24no—
622C23—22no—
623C23—22no—
624C23—24no—
625C23—34no—
626C23—34no—
627C23—34no—
628C23—316no—
629C23—34no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—64no—
634C23—64no—
635C23—62no—
636C23—62no—
637C23—64no—
638C23—64no—
639C23—68no—
640C23—88no—
641C23—124no—
642C23—124no—
643C23—1216no—
644C23—124no—
645C23—124no—
646C23—248no—
647C23C2×D3×D412yes—
648C23D3×#4114yes—
649C23C24×D311yescharacteristic
650D4—616no—
651D4—616no—
652D4—1216no—
653D4—1216no—
654C2×C4—28no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—34no—
667C2×C4—44no—
668C2×C4—68no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—64no—
675C2×C4—64no—
676C2×C4—64no—
677C2×C4—64no—
678C2×C4—64no—
679C2×C4—64no—
680C2×C4—1216no—
681C2×C4—1216no—
682C2×C4—124no—
683C2×C4—244no—
684C2×C4—244no—
685C2×C4—244no—
686C2×C4—244no—
687C2×C4C2×D3×D412yes—
688C2×C4C2×D3×D412yes—
689C2×C3—24no—
690C2×C3—82no—
691C2×C3C22×#12311yescharacteristic
692C2×C3#348411yescharacteristic
693C2×C3#348511yescharacteristic
694C2×C3#350514yes—
695D3—28no—
696D3—44no—
697C22—22no—
698C22—28no—
699C22—22no—
700C22—38no—
701C22—42no—
702C22—44no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—64no—
707C22—68no—
708C22—68no—
709C22—64no—
710C22—64no—
711C22—64no—
712C22—64no—
713C22—88no—
714C22—1216no—
715C22—124no—
716C22—124no—
717C22—248no—
718C22D3×#12314yes—
719C22C22×D3×D411yescharacteristic
720C22C2×D3×#4112yes—
721C22#596412yes—
722C22D3×H(5,𝔽2)12yes—
723C4—22no—
724C4—22no—
725C4—42no—
726C4—44no—
727C4—42no—
728C4—42no—
729C4—64no—
730C4—122no—
731C4—124no—
732C4—122no—
733C4—122no—
734C3#3535111yescharacteristic, complemented, Sylow
735C2—24no—
736C2—68no—
737C2—82no—
738C2—124no—
739C2C2×D3×#12311yescharacteristic
740C2#8604011yescharacteristic
741C2#8633011yescharacteristic
742C2#8681714yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2482C2
prime radicalC22×#884C2
hypercenter#2482D3
hypocenterC3#35351
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2482

Complements

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

NH ≅ G/Ntype
1. C2×#5521C2semidirect
3. C3×#2482C2semidirect
4. #82254C2semidirect
5. #82113C2semidirect
6. #78103C2semidirect
7. #77675C2semidirect
8. #75849C2semidirect
9. #75848C2semidirect
10. D3×#385C2semidirect
11. #74455C2semidirect
12. #74119C2semidirect
13. #74074C2semidirect
14. #73853C2semidirect
15. #73849C2semidirect
27. C2×#893C22semidirect
28. C2×#893C22semidirect
29. C2×D3×C4⋊C4C22semidirect
33. C2×#883C22semidirect
37. C2×C4×D12C22semidirect
38. C2×C4×D12C22semidirect
39. C3×#399C22semidirect
40. C3×#397C22semidirect
41. C3×#388C22semidirect
48. #4992C22semidirect
49. #4989C22semidirect
50. #4989C22semidirect
51. #4985C22semidirect
52. #4983C22semidirect
53. #4961C22semidirect
54. #4959C22semidirect
55. #4956C22semidirect
56. #4956C22semidirect
57. #4956C22semidirect
58. #4956C22semidirect
59. #4956C22semidirect
61. #4953C22semidirect
63. #4949C22semidirect
65. #4944C22semidirect
68. #4933C22semidirect
69. #4675C22semidirect
70. #4668C22semidirect
71. #4665C22semidirect
72. #4665C22semidirect
73. #4664C22semidirect
74. D3×#95C22semidirect
75. #4661C22semidirect
76. #4659C22semidirect
77. #4653C22semidirect
84. #2482D3semidirect
201. #399C2×D3semidirect
207. #397C2×D3semidirect
211. #388C2×D3semidirect
442. C22×D3#123semidirect
734. C3#35351semidirect

Maximal subgroups

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

subgroupindex
C2×#55212
C22×#8842
C3×#24822
#822542
#821132
#781032
#776752
#758492
#758482
D3×#3852
#744552
#741192
#740742
#738532
#738492
#353513