Finite Group Databasebeta

← #11002158

Subgroups — #11002158

Order 768.

2842 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#939C211yesmaximal, characteristic
2C2×#5483C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82869C214yesmaximal, complemented
6#82126C211yesmaximal, characteristic, complemented
7#77006C214yesmaximal, complemented
8#77000C214yesmaximal, complemented
9#74794C214yesmaximal, complemented
10#74621C212yesmaximal, complemented
11#74489C212yesmaximal, complemented
12#73846C212yesmaximal, complemented
13#73827C212yesmaximal, complemented
14#73823C211yesmaximal, characteristic, complemented
15#73820C211yesmaximal, characteristic, complemented
16#36718—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C24×Dic3C2211yescharacteristic
21C2×C3×#123C2212yescomplemented
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×#217C2211yescharacteristic
24C22×#217C2211yescharacteristic
25C2×#939—28no—
26C2×#939C2214yes—
27C2×#939C2214yes—
28C2×#935C2212yescomplemented
29C2×#929C2212yescomplemented
30C22×(C2×D3)⋊C4C2211yescharacteristic
31C2×#924C2212yescomplemented
32C2×#924C2212yescomplemented
33C22×Dic3⋊C4C2211yescharacteristic
34C2×#886C2212yescomplemented
35C2×#885C2214yescomplemented
36#5483—28no—
37C2×#878C2212yes—
38C2×#878C2212yes—
39C2×#878C2212yescomplemented
40C2×#878C2212yescomplemented
41C2×#878C2214yescomplemented
42C3×#394C2214yescomplemented
43C3×#386C2212yescomplemented
44C3×#385C2212yes—
45C3×#379C2211yescharacteristic
46C3×#379C2212yes—
47#5247C2211yescharacteristic
48#5247C2212yes—
49#5222C2214yescomplemented
50#5220C2212yescomplemented
51#5213C2212yescomplemented
52#5210C2212yes—
53#4994C2214yescomplemented
54#4993C2214yescomplemented
55#4979C2214yescomplemented
56#4972C2214yescomplemented
57#4961C2214yescomplemented
58#4961C2214yescomplemented
59#4959C2214yescomplemented
60#4959C2214yescomplemented
61#4958C2212yescomplemented
62#4957C2214yescomplemented
63#4955C2212yes—
64#4955C2212yes—
65#4950C2212yes—
66#4950C2214yescomplemented
67#4946C2212yes—
68#4946C2214yescomplemented
69#4945C2214yescomplemented
70#4944C2214yescomplemented
71#4942C2212yes—
72#4942C2214yescomplemented
73Dic3×C22⋊C4C2212yes—
74#4676C2214yescomplemented
75#4673C2214yescomplemented
76#4657C2214yescomplemented
77#4647C2214yescomplemented
78C2×#543—31no—
79C22×#121—31no—
80#2848—32no—
81#2681—34no—
82#2681—34no—
83#2672—34no—
84#2672—34no—
85#2626—32no—
86#2583—32no—
87#2435—32no—
88#2405—31no—
89#2405—31no—
90#2405—31no—
91#2405D311yescharacteristic, complemented
92#2312—31no—
93C25×C3C2311yescharacteristic
94C25×C3C2311yescharacteristic
95C24×D3C2311yescharacteristic
96C22×C3×D4—24no—
97C22×C3×D4—44no—
98C22×C3×D4C2312yes—
99C22×C3×D4C2312yes—
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2311yescharacteristic
102C23×C3×C4C2311yescharacteristic
103C22×#67—24no—
104C22×#67—24no—
105C22×#67—44no—
106C22×#67—44no—
107C22×#67C2314yes—
108C22×#67C2312yes—
109C22×#67C2312yes—
110C23×Dic3—24no—
111C23×Dic3—44no—
112C23×Dic3C2311yescharacteristic
113C23×Dic3C2314yes—
114C23×Dic3C2311yescharacteristic
115C23×Dic3C2311yescharacteristic
116C23×Dic3C2311yescharacteristic
117C23×Dic3C2311yescharacteristic
118C22×Dic6C2312yes—
119C22×Dic6C2312yes—
120C3×#123—44no—
121C2×C3×C4⋊C4C2314yes—
122C2×C3×C22⋊C4—24no—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2314yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C22⋊C4C2312yes—
129C2×C3×C22⋊C4C2314yes—
130C2×#217—24no—
131C2×#217D418yes—
132C2×#217C2312yes—
133C2×#217C2314yes—
134C2×#217C2312yes—
135C2×#217C2312yes—
136C2×#217C2312yes—
137C2×#217C2312yes—
138C2×#217C2314yes—
139C2×#217C2312yes—
140C2×#217C2312yes—
141#939—216no—
142#939—216no—
143#935—44no—
144#929—44no—
145C2×(C2×D3)⋊C4—24no—
146C2×(C2×D3)⋊C4C2314yes—
147C2×(C2×D3)⋊C4C2314yes—
148C2×(C2×D3)⋊C4C2314yes—
149C2×(C2×D3)⋊C4C2314yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×C4⋊Dic3C2312yes—
152C2×C4⋊Dic3C2314yes—
153C2×C4⋊Dic3C2312yes—
154#924—28no—
155#924—28no—
156C2×Dic3⋊C4—24no—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2312yes—
161C2×Dic3⋊C4C2312yes—
162C2×Dic3⋊C4C2312yes—
163C2×Dic3⋊C4C2314yes—
164C2×Dic3⋊C4C2314yes—
165C2×C4×Dic3C2314yes—
166#886—44no—
167#885—48no—
168#878—28no—
169#878—28no—
170#878—28no—
171#878—28no—
172#878—48no—
173C3×#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2314yes—
177C3⋊#95C2314yes—
178C3⋊#95C2314yes—
179C23×D4—31no—
180C23×D4—31no—
181C23×D4C2×D311yescharacteristic
182C24×C4—31no—
183#543—68no—
184C2×#124—34no—
185C2×#123—32no—
186C2×#123—32no—
187C2×#123—32no—
188C2×#123C2×D312yescomplemented
189C2×C22⋊Q8—32no—
190C2×C22⋊Q8—32no—
191C2×C22⋊Q8—32no—
192C2×C22⋊Q8—32no—
193C2×C22⋊Q8—32no—
194C2×C22⋊Q8—32no—
195C2×C22⋊Q8—34no—
196C2×#121—34no—
197C2×#121—34no—
198C2×#121—68no—
199C22×C4⋊C4—31no—
200C22×C22⋊C4—31no—
201C22×C22⋊C4—31no—
202C22×C22⋊C4—31no—
203C22×C22⋊C4C2×D311yescharacteristic
204#399—34no—
205#398—34no—
206#396—34no—
207#396—34no—
208#395—34no—
209#394—34no—
210#394—34no—
211#394—34no—
212#394—34no—
213#394—34no—
214#394C2×D314yescomplemented
215#393—34no—
216#390—34no—
217#389—34no—
218#389—34no—
219#388—34no—
220#388—34no—
221#386—32no—
222#386—32no—
223#386—32no—
224#386C2×D312yescomplemented
225#385—32no—
226#385—32no—
227#385—32no—
228#385—34no—
229#385—34no—
230#385C2×D312yes—
231#380—32no—
232#380—34no—
233#379—31no—
234#379—32no—
235#379—32no—
236#379—32no—
237#379C2×D311yescharacteristic
238#379C2×D312yes—
239C4×C22⋊C4—32no—
240C24×C3—22no—
241C24×C3—24no—
242C24×C3—24no—
243C24×C3—24no—
244C24×C3—42no—
245C24×C3—42no—
246C24×C3—42no—
247C24×C3C2×D414yes—
248C24×C3C2411yescharacteristic
249C24×C3C2411yescharacteristic
250C24×C3C2412yes—
251C24×C3C2411yescharacteristic
252C23×D3—22no—
253C23×D3—24no—
254C23×D3—42no—
255C23×D3—42no—
256C23×D3C2412yes—
257C2×C3×D4—24no—
258C2×C3×D4—24no—
259C2×C3×D4—24no—
260C2×C3×D4—24no—
261C2×C3×D4—42no—
262C2×C3×D4—42no—
263C2×C3×D4—416no—
264C22×C3×C4—22no—
265C22×C3×C4—22no—
266C22×C3×C4—22no—
267C22×C3×C4—42no—
268C22×C3×C4—42no—
269C22×C3×C4—42no—
270C22×C3×C4C2414yes—
271C22×C3×C4C2412yes—
272C22×C3×C4C2412yes—
273C22×C3×C4C2412yes—
274C2×#67—24no—
275C2×#67—24no—
276C2×#67—28no—
277C2×#67—28no—
278C2×#67—24no—
279C2×#67—24no—
280C2×#67—44no—
281C2×#67—42no—
282C2×#67—42no—
283C2×#67—416no—
284C2×#67—416no—
285C22×Dic3—22no—
286C22×Dic3—24no—
287C22×Dic3—22no—
288C22×Dic3—22no—
289C22×Dic3—28no—
290C22×Dic3—28no—
291C22×Dic3—42no—
292C22×Dic3—44no—
293C22×Dic3—42no—
294C22×Dic3—42no—
295C22×Dic3—42no—
296C22×Dic3—416no—
297C22×Dic3C2×D414yes—
298C22×Dic3C2×D414yes—
299C22×Dic3C2414yes—
300C22×Dic3C2412yes—
301C22×Dic3C2412yes—
302C22×Dic3C2412yes—
303C22×Dic3C2412yes—
304C22×Dic3C2412yes—
305C2×Dic6—24no—
306C2×Dic6—24no—
307C2×Dic6—44no—
308C2×Dic6—44no—
309C3×C4⋊C4—44no—
310C3×C22⋊C4—24no—
311C3×C22⋊C4—24no—
312C3×C22⋊C4—28no—
313C3×C22⋊C4—24no—
314C3×C22⋊C4—44no—
315C3×C22⋊C4—42no—
316C3×C22⋊C4—42no—
317#217—24no—
318#217—24no—
319#217—28no—
320#217—24no—
321#217—44no—
322#217—42no—
323#217—42no—
324#217C2×D418yes—
325#217C2×D418yes—
326(C2×D3)⋊C4—28no—
327(C2×D3)⋊C4—44no—
328(C2×D3)⋊C4—44no—
329(C2×D3)⋊C4—44no—
330(C2×D3)⋊C4—44no—
331C4⋊Dic3—24no—
332C4⋊Dic3—24no—
333C4⋊Dic3—28no—
334Dic3⋊C4—24no—
335Dic3⋊C4—24no—
336Dic3⋊C4—24no—
337Dic3⋊C4—24no—
338Dic3⋊C4—28no—
339Dic3⋊C4—28no—
340Dic3⋊C4—44no—
341Dic3⋊C4—44no—
342C4×Dic3—44no—
343C25—31no—
344C25C22×D311yescharacteristic
345C25C22×D311yescharacteristic
346C22×Q8—32no—
347C22×Q8—32no—
348C22×D4—24no—
349C22×D4—32no—
350C22×D4—32no—
351C22×D4—34no—
352C22×D4—44no—
353C22×D4—64no—
354C22×D4—64no—
355C22×D4—124no—
356C22×D4—124no—
357C22×D4C22×D312yes—
358C22×D4C22×D312yes—
359C23×C4—31no—
360C23×C4—31no—
361C23×C4—31no—
362C23×C4—34no—
363C23×C4—31no—
364C23×C4—31no—
365C23×C4—64no—
366C23×C4—124no—
367C23×C4C22×D311yescharacteristic
368C23×C4C22×D311yescharacteristic
369C23×C4C22×D311yescharacteristic
370#124—128no—
371#123—44no—
372#123—124no—
373#123—124no—
374#123—124no—
375C22⋊Q8—68no—
376C22⋊Q8—68no—
377C22⋊Q8—68no—
378C22⋊Q8—68no—
379C22⋊Q8—68no—
380C22⋊Q8—68no—
381C22⋊Q8—128no—
382#121—616no—
383#121—616no—
384C2×C4⋊C4—34no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—32no—
391C2×C4⋊C4—34no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—34no—
394C2×C4⋊C4—34no—
395C2×C4⋊C4—64no—
396C2×C4⋊C4C22×D314yes—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—38no—
399C2×C22⋊C4—32no—
400C2×C22⋊C4—32no—
401C2×C22⋊C4—32no—
402C2×C22⋊C4—32no—
403C2×C22⋊C4—34no—
404C2×C22⋊C4—32no—
405C2×C22⋊C4—34no—
406C2×C22⋊C4—34no—
407C2×C22⋊C4—32no—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—34no—
410C2×C22⋊C4—34no—
411C2×C22⋊C4—34no—
412C2×C22⋊C4—34no—
413C2×C22⋊C4—64no—
414C2×C22⋊C4—64no—
415C2×C22⋊C4C22×D312yes—
416C2×C22⋊C4C22×D312yes—
417C2×C22⋊C4C22×D314yes—
418C2×C22⋊C4C22×D312yes—
419C2×C22⋊C4C22×D314yes—
420C2×C22⋊C4C22×D312yes—
421C2×C22⋊C4C22×D312yes—
422C2×C42—34no—
423#95—34no—
424#95—34no—
425#95—34no—
426#95—34no—
427#95—34no—
428#95C22×D314yes—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—28no—
432C23×C3—22no—
433C23×C3—24no—
434C23×C3—22no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—22no—
440C23×C3—22no—
441C23×C3—24no—
442C23×C3—28no—
443C23×C3—44no—
444C23×C3—44no—
445C23×C3—416no—
446C23×C3—44no—
447C23×C3—44no—
448C23×C3—88no—
449C23×C3C22×D412yes—
450C23×C3C22×D412yes—
451C23×C3C22×D412yes—
452C23×C3H(5,𝔽2)14yes—
453C23×C32−1+414yes—
454C23×C3C2511yescharacteristic
455C22×D3—22no—
456C22×D3—24no—
457C22×D3—22no—
458C22×D3—22no—
459C22×D3—24no—
460C22×D3—44no—
461C22×D3—44no—
462C22×D3—44no—
463C22×D3—88no—
464C3×D4—48no—
465C3×D4—48no—
466C2×C3×C4—22no—
467C2×C3×C4—22no—
468C2×C3×C4—22no—
469C2×C3×C4—24no—
470C2×C3×C4—24no—
471C2×C3×C4—22no—
472C2×C3×C4—24no—
473C2×C3×C4—24no—
474C2×C3×C4—22no—
475C2×C3×C4—24no—
476C2×C3×C4—44no—
477C2×C3×C4—82no—
478C2×C3×C4—82no—
479#67—416no—
480#67—48no—
481#67—48no—
482C2×Dic3—28no—
483C2×Dic3—22no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—24no—
490C2×Dic3—24no—
491C2×Dic3—24no—
492C2×Dic3—24no—
493C2×Dic3—24no—
494C2×Dic3—44no—
495C2×Dic3—44no—
496C2×Dic3—416no—
497C2×Dic3—82no—
498C2×Dic3—82no—
499C2×Dic3C22×D414yes—
500C2×Dic3C22×D414yes—
501C2×Dic3H(5,𝔽2)14yes—
502Dic6—84no—
503Dic6—84no—
504C24—22no—
505C24—24no—
506C24—24no—
507C24—24no—
508C24—32no—
509C24—42no—
510C24—42no—
511C24—42no—
512C24—62no—
513C24—64no—
514C24—122no—
515C24—122no—
516C24D3×D414yes—
517C24C23×D311yescharacteristic
518C24C23×D311yescharacteristic
519C24C23×D312yes—
520C24C23×D311yescharacteristic
521C2×Q8—64no—
522C2×Q8—64no—
523C2×Q8—124no—
524C2×Q8—124no—
525C2×D4—24no—
526C2×D4—24no—
527C2×D4—24no—
528C2×D4—24no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—416no—
532C2×D4—68no—
533C2×D4—64no—
534C2×D4—64no—
535C2×D4—64no—
536C2×D4—64no—
537C2×D4—68no—
538C2×D4—124no—
539C2×D4—122no—
540C2×D4—122no—
541C2×D4—1216no—
542C2×D4—1216no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—32no—
547C22×C4—32no—
548C22×C4—32no—
549C22×C4—34no—
550C22×C4—34no—
551C22×C4—34no—
552C22×C4—32no—
553C22×C4—32no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—64no—
558C22×C4—68no—
559C22×C4—68no—
560C22×C4—62no—
561C22×C4—62no—
562C22×C4—62no—
563C22×C4—122no—
564C22×C4—124no—
565C22×C4—122no—
566C22×C4—122no—
567C22×C4—122no—
568C22×C4—1216no—
569C22×C4C23×D314yes—
570C22×C4C23×D312yes—
571C22×C4C23×D312yes—
572C22×C4C23×D312yes—
573C4⋊C4—44no—
574C4⋊C4—68no—
575C4⋊C4—64no—
576C4⋊C4—64no—
577C4⋊C4—64no—
578C4⋊C4—64no—
579C4⋊C4—64no—
580C4⋊C4—64no—
581C4⋊C4—68no—
582C4⋊C4—68no—
583C4⋊C4—124no—
584C4⋊C4—124no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—28no—
588C22⋊C4—24no—
589C22⋊C4—38no—
590C22⋊C4—38no—
591C22⋊C4—44no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—68no—
595C22⋊C4—64no—
596C22⋊C4—64no—
597C22⋊C4—68no—
598C22⋊C4—64no—
599C22⋊C4—124no—
600C22⋊C4—124no—
601C22⋊C4—124no—
602C22⋊C4—124no—
603C22⋊C4—124no—
604C22⋊C4—122no—
605C22⋊C4—122no—
606C42—124no—
607C22×C3—22no—
608C22×C3—22no—
609C22×C3—28no—
610C22×C3—22no—
611C22×C3—22no—
612C22×C3—22no—
613C22×C3—22no—
614C22×C3—22no—
615C22×C3—24no—
616C22×C3—22no—
617C22×C3—28no—
618C22×C3—416no—
619C22×C3—42no—
620C22×C3—42no—
621C22×C3—44no—
622C22×C3—44no—
623C22×C3—44no—
624C22×C3—88no—
625C22×C3#53614yes—
626C22×C3C23×D411yescharacteristic
627C22×C3C2×H(5,𝔽2)12yes—
628C22×C3C2×H(5,𝔽2)12yes—
629C22×C3C2×2−1+412yes—
630C2×D3—42no—
631C2×D3—42no—
632C2×D3—42no—
633C2×D3—44no—
634C2×D3—44no—
635C2×D3—88no—
636C3×C4—42no—
637C3×C4—42no—
638C3×C4—42no—
639C3×C4—44no—
640Dic3—24no—
641Dic3—24no—
642Dic3—24no—
643Dic3—42no—
644Dic3—42no—
645Dic3—44no—
646C23—22no—
647C23—22no—
648C23—28no—
649C23—22no—
650C23—22no—
651C23—22no—
652C23—22no—
653C23—24no—
654C23—22no—
655C23—22no—
656C23—24no—
657C23—22no—
658C23—22no—
659C23—28no—
660C23—44no—
661C23—44no—
662C23—416no—
663C23—44no—
664C23—44no—
665C23—62no—
666C23—64no—
667C23—64no—
668C23—62no—
669C23—62no—
670C23—88no—
671C23—124no—
672C23—124no—
673C23—124no—
674C23—248no—
675C23C2×D3×D412yes—
676C23C2×D3×D412yes—
677C23C2×D3×D412yes—
678C23#100414yes—
679C23#101014yes—
680C23C24×D311yescharacteristic
681Q8—244no—
682Q8—244no—
683D4—48no—
684D4—48no—
685D4—128no—
686D4—128no—
687D4—1216no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—34no—
699C2×C4—34no—
700C2×C4—34no—
701C2×C4—44no—
702C2×C4—68no—
703C2×C4—62no—
704C2×C4—64no—
705C2×C4—64no—
706C2×C4—62no—
707C2×C4—62no—
708C2×C4—62no—
709C2×C4—64no—
710C2×C4—64no—
711C2×C4—64no—
712C2×C4—64no—
713C2×C4—64no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—124no—
717C2×C4—124no—
718C2×C4—1216no—
719C2×C4—242no—
720C2×C4—242no—
721C2×C3—24no—
722C2×C3—44no—
723C2×C3—42no—
724C2×C3—42no—
725C2×C3C2×#53611yescharacteristic
726C2×C3#348411yescharacteristic
727C2×C3#348411yescharacteristic
728C2×C3#353614yes—
729D3—82no—
730C22—22no—
731C22—28no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—28no—
736C22—22no—
737C22—22no—
738C22—24no—
739C22—22no—
740C22—22no—
741C22—416no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—42no—
747C22—88no—
748C22—122no—
749C22—124no—
750C22—124no—
751C22—122no—
752C22—122no—
753C22—248no—
754C22#564814yes—
755C22C22×D3×D411yescharacteristic
756C22C2×#100412yes—
757C22C2×#101012yes—
758C22D3×H(5,𝔽2)12yes—
759C4—42no—
760C4—44no—
761C4—42no—
762C4—42no—
763C4—64no—
764C4—64no—
765C4—64no—
766C4—122no—
767C4—124no—
768C4—122no—
769C3#3671811yescharacteristic, complemented, Sylow
770C2—24no—
771C2—44no—
772C2—42no—
773C2—42no—
774C2—242no—
775C2#8591911yescharacteristic
776C2C2×#564811yescharacteristic
777C2#8630811yescharacteristic
778C2#8664714yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
prime radicalC22×#939C2
hypercenter#2405D3
hypocenterC3#36718
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
2. C2×#5483C2semidirect
3. C3×#2405C2semidirect
4. #84047C2semidirect
5. #82869C2semidirect
6. #82126C2semidirect
7. #77006C2semidirect
8. #77000C2semidirect
9. #74794C2semidirect
10. #74621C2semidirect
11. #74489C2semidirect
12. #73846C2semidirect
13. #73827C2semidirect
14. #73823C2semidirect
15. #73820C2semidirect
21. C2×C3×#123C22semidirect
28. C2×#935C22semidirect
29. C2×#929C22semidirect
31. C2×#924C22semidirect
32. C2×#924C22semidirect
34. C2×#886C22semidirect
35. C2×#885C22semidirect
39. C2×#878C22semidirect
40. C2×#878C22semidirect
41. C2×#878C22semidirect
42. C3×#394C22semidirect
43. C3×#386C22semidirect
49. #5222C22semidirect
50. #5220C22semidirect
51. #5213C22semidirect
53. #4994C22semidirect
54. #4993C22semidirect
55. #4979C22semidirect
56. #4972C22semidirect
57. #4961C22semidirect
58. #4961C22semidirect
59. #4959C22semidirect
60. #4959C22semidirect
61. #4958C22semidirect
62. #4957C22semidirect
66. #4950C22semidirect
68. #4946C22semidirect
69. #4945C22semidirect
70. #4944C22semidirect
72. #4942C22semidirect
74. #4676C22semidirect
75. #4673C22semidirect
76. #4657C22semidirect
77. #4647C22semidirect
91. #2405D3semidirect
188. C2×#123C2×D3semidirect
214. #394C2×D3semidirect
224. #386C2×D3semidirect
769. C3#36718semidirect

Maximal subgroups

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

subgroupindex
C22×#9392
C2×#54832
C3×#24052
#840472
#828692
#821262
#770062
#770002
#747942
#746212
#744892
#738462
#738272
#738232
#738202
#367183