Finite Group Databasebeta

← #11002018

Subgroups — #11002018

Order 768.

2630 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5494C211yesmaximal, characteristic, complemented
2C22×#883C211yesmaximal, characteristic, complemented
3C3×#2315C211yesmaximal, characteristic, complemented
4#82127C212yesmaximal, complemented
5#82108C212yesmaximal, complemented
6#74629C214yesmaximal, complemented
7#74628C214yesmaximal, complemented
8#74520C214yesmaximal, complemented
9#74517C214yesmaximal, complemented
10#74049C211yesmaximal, characteristic, complemented
11#74048C211yesmaximal, characteristic, complemented
12#74032C211yesmaximal, characteristic, complemented
13#74029C212yesmaximal, complemented
14#74028C212yesmaximal, complemented
15#73953C211yesmaximal, characteristic, complemented
16#36709—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C23×C4×D3C2211yescharacteristic
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2211yescharacteristic
21C2×#953C2212yes—
22C22×#217C2211yescharacteristic
23C2×#930C2211yescharacteristic
24C2×#930C2214yes—
25C2×C4×#67C2212yes—
26C22×(C2×D3)⋊C4C2211yescharacteristic
27C22×C4⋊Dic3C2211yescharacteristic
28C2×#924C2211yescharacteristic
29C22×Dic3⋊C4C2211yescharacteristic
30C2×#897C2212yescomplemented
31C2×#895C2212yescomplemented
32#5494—28no—
33C2×#886C2212yes—
34C2×#885C2212yescomplemented
35C2×#884C2212yescomplemented
36C2×#883—28no—
37C2×#883C2214yes—
38C2×#883C2214yes—
39C2×#883C2212yescomplemented
40C2×#882C2212yes—
41C2×#879C2212yescomplemented
42C3×#385C2214yescomplemented
43C3×#385C2214yescomplemented
44C3×#380C2212yes—
45C3×#380C2211yescharacteristic
46C3×#380C2211yescharacteristic
47#5213C2214yes—
48#5213C2214yescomplemented
49#5212C2214yescomplemented
50#4994C2214yescomplemented
51#4994C2214yescomplemented
52#4991C2214yescomplemented
53#4987C2212yescomplemented
54#4987C2214yescomplemented
55#4987C2212yescomplemented
56#4984C2214yescomplemented
57#4981C2214yescomplemented
58#4961C2214yes—
59#4961C2214yescomplemented
60#4960C2214yes—
61#4958C2212yes—
62#4958C2212yes—
63#4955C2212yes—
64#4953C2214yescomplemented
65#4950C2212yes—
66#4950C2212yes—
67#4943C2212yes—
68#4677C2214yescomplemented
69#4672C2212yescomplemented
70#4670C2214yescomplemented
71#4668C2214yescomplemented
72#4665C2214yescomplemented
73#4665C2214yescomplemented
74#4661C2212yescomplemented
75#4659C2212yescomplemented
76#4659C2214yescomplemented
77#4656C2212yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2848—31no—
81#2847—31no—
82#2695—34no—
83#2693—34no—
84#2672—34no—
85#2671—34no—
86#2627—31no—
87#2618—31no—
88#2534—32no—
89#2487—32no—
90#2412—32no—
91#2410—32no—
92#2315D311yescharacteristic, complemented
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C23×C3×C4C2314yes—
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C22×#67—24no—
99C22×#67—44no—
100C22×#67C2312yes—
101C22×#67C2314yes—
102C22×#67C2312yes—
103C22×#67C2312yes—
104C23×Dic3C2311yescharacteristic
105C23×Dic3C2311yescharacteristic
106C23×Dic3C2311yescharacteristic
107C22×D12C2314yes—
108C22×D12C2311yescharacteristic
109C22×C4×D3—24no—
110C22×C4×D3—44no—
111C22×C4×D3C2312yes—
112C22×C4×D3C2312yes—
113C22×C4×D3C2312yes—
114C22×Dic6C2311yescharacteristic
115C2×C3×C4⋊C4C2312yes—
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C22⋊C4—44no—
119C2×C3×C22⋊C4D418yescomplemented
120C2×C3×C22⋊C4C2312yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125#953—28no—
126C2×#217—24no—
127C2×#217C2312yes—
128C2×#217C2312yes—
129C2×#217C2314yes—
130C2×#217C2312yes—
131#930—24no—
132#930—48no—
133C4×#67—28no—
134C2×(C2×D3)⋊C4—24no—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×C4⋊Dic3—24no—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2314yes—
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2314yes—
150C2×C4⋊Dic3C2314yes—
151#924—24no—
152C2×Dic3⋊C4—24no—
153C2×Dic3⋊C4C2312yes—
154C2×Dic3⋊C4C2312yes—
155C2×Dic3⋊C4C2312yes—
156C2×Dic3⋊C4C2312yes—
157C2×C4×Dic3C2312yes—
158#897—44no—
159#895—44no—
160#886—44no—
161#885—28no—
162#884—28no—
163#883—216no—
164#883—216no—
165#883—28no—
166#882—44no—
167#879—28no—
168C3×#95C2312yes—
169C3×#95C2314yes—
170C3×#95C2312yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2314yes—
177C23×D4—31no—
178C24×C4—31no—
179#538—68no—
180C2×#126—32no—
181C2×#124—32no—
182C2×#123—34no—
183C2×#123—34no—
184C2×#123—32no—
185C2×#123—32no—
186C2×#123—68no—
187C2×C22⋊Q8—31no—
188C2×C22⋊Q8—32no—
189C2×#121—31no—
190C2×#121—34no—
191C2×#121—32no—
192C2×#121—32no—
193C2×#120—32no—
194C2×#120—32no—
195C2×C4×D4—32no—
196C22×C4⋊C4—31no—
197C22×C4⋊C4—31no—
198C22×C22⋊C4—31no—
199C22×C22⋊C4—31no—
200C22×C22⋊C4C2×D312yes—
201C22×C22⋊C4C2×D311yescharacteristic
202#400—32no—
203#400—34no—
204#399—34no—
205#398—34no—
206#398—32no—
207#397—34no—
208#396—34no—
209#396—34no—
210#395—32no—
211#394—34no—
212#394—34no—
213#394—34no—
214#394—32no—
215#392—34no—
216#389—34no—
217#388—34no—
218#386—34no—
219#386—34no—
220#386—32no—
221#386—32no—
222#386—34no—
223#386—34no—
224#385—32no—
225#385—32no—
226#385—34no—
227#385C2×D314yescomplemented
228#385C2×D314yescomplemented
229#381—32no—
230#380—34no—
231#380—32no—
232#380—32no—
233#380—34no—
234#380C2×D311yescharacteristic
235#380C2×D311yescharacteristic
236#380C2×D312yes—
237#379—32no—
238C24×C3—22no—
239C24×C3—22no—
240C24×C3—42no—
241C24×C3—42no—
242C24×C3C2×D414yes—
243C24×C3C2412yes—
244C24×C3C2411yescharacteristic
245C23×D3—22no—
246C23×D3—24no—
247C23×D3—22no—
248C23×D3—22no—
249C23×D3—42no—
250C23×D3C2412yes—
251C23×D3C2412yes—
252C22×C3×C4—42no—
253C22×C3×C4—42no—
254C22×C3×C4—44no—
255C22×C3×C4—44no—
256C22×C3×C4—44no—
257C22×C3×C4C2×D414yes—
258C22×C3×C4C2×D414yes—
259C22×C3×C4C2414yes—
260C22×C3×C4C2414yes—
261C22×C3×C4C2412yes—
262C22×C3×C4C2411yescharacteristic
263C22×C3×C4C2411yescharacteristic
264C2×#67—28no—
265C2×#67—24no—
266C2×#67—24no—
267C2×#67—24no—
268C2×#67—28no—
269C2×#67—24no—
270C2×#67—24no—
271C2×#67—44no—
272C2×#67—44no—
273C2×#67—44no—
274C2×#67—416no—
275C22×Dic3—22no—
276C22×Dic3—22no—
277C22×Dic3—22no—
278C22×Dic3—22no—
279C22×Dic3—22no—
280C22×Dic3—42no—
281C22×Dic3—42no—
282C22×Dic3C2412yes—
283C22×Dic3C2412yes—
284C22×Dic3C2412yes—
285C22×Dic3C2412yes—
286C22×Dic3C2412yes—
287C22×Dic3C2412yes—
288C2×D12—28no—
289C2×D12—22no—
290C2×D12—44no—
291C2×D12—42no—
292C2×D12—44no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—24no—
297C2×C4×D3—24no—
298C2×C4×D3—42no—
299C2×C4×D3—42no—
300C2×C4×D3—416no—
301C2×C4×D3—44no—
302C2×Dic6—22no—
303C2×Dic6—42no—
304C3×C4⋊C4—42no—
305C3×C4⋊C4—42no—
306C3×C4⋊C4—44no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—24no—
309C3×C22⋊C4—44no—
310C3×C22⋊C4C2×D418yes—
311C3×C22⋊C4C2×D418yes—
312#217—24no—
313#217—24no—
314#217—28no—
315#217—24no—
316(C2×D3)⋊C4—28no—
317(C2×D3)⋊C4—28no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—44no—
321(C2×D3)⋊C4—44no—
322(C2×D3)⋊C4—44no—
323(C2×D3)⋊C4—44no—
324(C2×D3)⋊C4—44no—
325C4⋊Dic3—22no—
326C4⋊Dic3—22no—
327C4⋊Dic3—28no—
328C4⋊Dic3—44no—
329C4⋊Dic3—44no—
330C4⋊Dic3—44no—
331Dic3⋊C4—24no—
332Dic3⋊C4—24no—
333Dic3⋊C4—24no—
334Dic3⋊C4—24no—
335C4×Dic3—24no—
336C25—31no—
337C25C22×D311yescharacteristic
338C22×Q8—31no—
339C22×D4—32no—
340C22×D4—34no—
341C22×D4—32no—
342C22×D4—32no—
343C22×D4—34no—
344C22×D4—31no—
345C22×D4—64no—
346C22×D4—124no—
347C23×C4—31no—
348C23×C4—31no—
349C23×C4—31no—
350C23×C4—32no—
351C23×C4—32no—
352C23×C4—32no—
353C23×C4—64no—
354C23×C4—124no—
355C23×C4C22×D314yes—
356C23×C4C22×D311yescharacteristic
357C23×C4C22×D311yescharacteristic
358#126—68no—
359#124—68no—
360#123—616no—
361#123—616no—
362#123—68no—
363#123—124no—
364C22⋊Q8—64no—
365C22⋊Q8—124no—
366#121—64no—
367#121—68no—
368#121—128no—
369#121—124no—
370#120—68no—
371#120—124no—
372C4×D4—68no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—34no—
383C2×C4⋊C4—64no—
384C2×C4⋊C4—64no—
385C2×C4⋊C4C22×D312yes—
386C2×C4⋊C4C22×D312yes—
387C2×C4⋊C4C22×D314yes—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—32no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—44no—
402C2×C22⋊C4—64no—
403C2×C22⋊C4—64no—
404C2×C22⋊C4D1218yescomplemented
405C2×C22⋊C4C22×D312yes—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D314yes—
408C2×C22⋊C4C22×D312yes—
409C2×C22⋊C4C22×D312yes—
410C2×C42—32no—
411#95—34no—
412#95—34no—
413#95—34no—
414#95—34no—
415#95—34no—
416#95—34no—
417#95C22×D312yes—
418#95C22×D312yes—
419#95C22×D314yes—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—24no—
424C23×C3—22no—
425C23×C3—24no—
426C23×C3—28no—
427C23×C3—44no—
428C23×C3—44no—
429C23×C3—84no—
430C23×C3—84no—
431C23×C3C22×D414yes—
432C23×C3C22×D412yes—
433C23×C3H(5,𝔽2)12yes—
434C23×C32−1+412yes—
435C23×C3C2511yescharacteristic
436C22×D3—28no—
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—22no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—22no—
444C22×D3—24no—
445C22×D3—22no—
446C22×D3—22no—
447C22×D3—24no—
448C22×D3—48no—
449C22×D3—48no—
450C22×D3—44no—
451C22×D3—44no—
452C22×D3H(5,𝔽2)14yes—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—24no—
459C2×C3×C4—24no—
460C2×C3×C4—24no—
461C2×C3×C4—24no—
462C2×C3×C4—44no—
463C2×C3×C4—44no—
464C2×C3×C4—88no—
465C2×C3×C4C22×D414yes—
466C2×C3×C4C22×D412yes—
467C2×C3×C4C22×D412yes—
468#67—416no—
469#67—48no—
470#67—84no—
471#67—84no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—24no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—24no—
483C2×Dic3—22no—
484C2×Dic3—22no—
485C2×Dic3—22no—
486C2×Dic3—24no—
487C2×Dic3—44no—
488C2×Dic3—44no—
489C2×Dic3—44no—
490D12—82no—
491D12—88no—
492C4×D3—48no—
493C4×D3—48no—
494C4×D3—84no—
495Dic6—82no—
496C24—22no—
497C24—22no—
498C24—32no—
499C24—32no—
500C24—42no—
501C24—42no—
502C24—64no—
503C24—62no—
504C24—62no—
505C24—62no—
506C24—122no—
507C24C2×D1214yes—
508C24C23×D312yes—
509C24C23×D311yescharacteristic
510C2×Q8—62no—
511C2×Q8—122no—
512C2×D4—68no—
513C2×D4—68no—
514C2×D4—64no—
515C2×D4—68no—
516C2×D4—64no—
517C2×D4—64no—
518C2×D4—64no—
519C2×D4—64no—
520C2×D4—62no—
521C2×D4—124no—
522C2×D4—122no—
523C2×D4—124no—
524C2×D4—124no—
525C2×D4—124no—
526C2×D4—124no—
527C2×D4—1216no—
528C22×C4—32no—
529C22×C4—32no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—32no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—64no—
540C22×C4—64no—
541C22×C4—62no—
542C22×C4—62no—
543C22×C4—62no—
544C22×C4—62no—
545C22×C4—62no—
546C22×C4—64no—
547C22×C4—64no—
548C22×C4—64no—
549C22×C4—122no—
550C22×C4—122no—
551C22×C4—124no—
552C22×C4—1216no—
553C22×C4—122no—
554C22×C4—122no—
555C22×C4C2×D1214yes—
556C22×C4C2×D1214yes—
557C22×C4C23×D314yes—
558C22×C4C23×D314yes—
559C22×C4C23×D312yes—
560C22×C4C23×D311yescharacteristic
561C22×C4C23×D311yescharacteristic
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—64no—
566C4⋊C4—64no—
567C4⋊C4—68no—
568C4⋊C4—64no—
569C4⋊C4—64no—
570C4⋊C4—62no—
571C4⋊C4—62no—
572C4⋊C4—124no—
573C4⋊C4—124no—
574C4⋊C4—124no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—44no—
578C22⋊C4—68no—
579C22⋊C4—68no—
580C22⋊C4—64no—
581C22⋊C4—64no—
582C22⋊C4—64no—
583C22⋊C4—68no—
584C22⋊C4—64no—
585C22⋊C4—64no—
586C22⋊C4—124no—
587C22⋊C4—124no—
588C22⋊C4—124no—
589C22⋊C4—124no—
590C22⋊C4—124no—
591C22⋊C4C2×D1218yes—
592C22⋊C4C2×D1218yes—
593C42—64no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3—24no—
600C22×C3—24no—
601C22×C3—44no—
602C22×C3—44no—
603C22×C3—88no—
604C22×C3#53714yes—
605C22×C3C23×D411yescharacteristic
606C22×C3C2×H(5,𝔽2)11yescharacteristic
607C22×C3C2×H(5,𝔽2)12yes—
608C22×C3C2×2−1+411yescharacteristic
609C22×C3#58512yes—
610C2×D3—24no—
611C2×D3—24no—
612C2×D3—24no—
613C2×D3—416no—
614C2×D3—42no—
615C2×D3—42no—
616C2×D3—42no—
617C2×D3—42no—
618C2×D3—42no—
619C2×D3—42no—
620C2×D3—42no—
621C2×D3—44no—
622C2×D3—44no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—24no—
626C3×C4—44no—
627C3×C4—44no—
628Dic3—42no—
629Dic3—42no—
630Dic3—42no—
631Dic3—42no—
632Dic3—42no—
633Dic3—42no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—24no—
639C23—24no—
640C23—28no—
641C23—34no—
642C23—44no—
643C23—44no—
644C23—68no—
645C23—62no—
646C23—62no—
647C23—62no—
648C23—62no—
649C23—62no—
650C23—62no—
651C23—62no—
652C23—62no—
653C23—62no—
654C23—64no—
655C23—64no—
656C23—84no—
657C23—84no—
658C23—128no—
659C23—128no—
660C23—124no—
661C23—124no—
662C23C22×D1214yes—
663C23C22×D1212yes—
664C23#100412yes—
665C23#100712yes—
666C23C24×D311yescharacteristic
667Q8—242no—
668D4—1216no—
669D4—128no—
670D4—242no—
671D4—248no—
672D4—244no—
673D4—244no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—64no—
696C2×C4—62no—
697C2×C4—64no—
698C2×C4—62no—
699C2×C4—64no—
700C2×C4—88no—
701C2×C4—128no—
702C2×C4—128no—
703C2×C4—124no—
704C2×C4—124no—
705C2×C4—124no—
706C2×C4—244no—
707C2×C4C22×D1214yes—
708C2×C4C22×D1212yes—
709C2×C4C22×D1212yes—
710C2×C3—24no—
711C2×C3—44no—
712C2×C3C2×#53711yescharacteristic
713C2×C3#348411yescharacteristic
714C2×C3#348511yescharacteristic
715C2×C3#353412yes—
716C2×C3#353512yes—
717D3—44no—
718D3—82no—
719C22—24no—
720C22—24no—
721C22—22no—
722C22—22no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—44no—
727C22—44no—
728C22—64no—
729C22—64no—
730C22—64no—
731C22—88no—
732C22—1216no—
733C22—122no—
734C22—122no—
735C22—122no—
736C22—122no—
737C22—124no—
738C22—124no—
739C22—122no—
740C22—122no—
741C22—122no—
742C22#551014yes—
743C22C23×D1211yescharacteristic
744C22C2×#100411yescharacteristic
745C22C2×#100711yescharacteristic
746C22D3×H(5,𝔽2)12yes—
747C22#596612yes—
748C4—24no—
749C4—22no—
750C4—22no—
751C4—44no—
752C4—44no—
753C4—122no—
754C4—122no—
755C4—122no—
756C4—122no—
757C4—122no—
758C4—122no—
759C3#3670911yescharacteristic, complemented, Sylow
760C2—24no—
761C2—44no—
762C2—124no—
763C2—242no—
764C2C2×#551011yescharacteristic
765C2#8585811yescharacteristic
766C2#8586711yescharacteristic
767C2#8631212yes—
768C2#8658012yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2315C2
hypercenter#2315D3
hypocenterC3#36709
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2315

Complements

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

NH ≅ G/Ntype
1. C2×#5494C2semidirect
2. C22×#883C2semidirect
3. C3×#2315C2semidirect
4. #82127C2semidirect
5. #82108C2semidirect
6. #74629C2semidirect
7. #74628C2semidirect
8. #74520C2semidirect
9. #74517C2semidirect
10. #74049C2semidirect
11. #74048C2semidirect
12. #74032C2semidirect
13. #74029C2semidirect
14. #74028C2semidirect
15. #73953C2semidirect
30. C2×#897C22semidirect
31. C2×#895C22semidirect
34. C2×#885C22semidirect
35. C2×#884C22semidirect
39. C2×#883C22semidirect
41. C2×#879C22semidirect
42. C3×#385C22semidirect
43. C3×#385C22semidirect
48. #5213C22semidirect
49. #5212C22semidirect
50. #4994C22semidirect
51. #4994C22semidirect
52. #4991C22semidirect
53. #4987C22semidirect
54. #4987C22semidirect
55. #4987C22semidirect
56. #4984C22semidirect
57. #4981C22semidirect
59. #4961C22semidirect
64. #4953C22semidirect
68. #4677C22semidirect
69. #4672C22semidirect
70. #4670C22semidirect
71. #4668C22semidirect
72. #4665C22semidirect
73. #4665C22semidirect
74. #4661C22semidirect
75. #4659C22semidirect
76. #4659C22semidirect
77. #4656C22semidirect
92. #2315D3semidirect
119. C2×C3×C22⋊C4D4semidirect
227. #385C2×D3semidirect
228. #385C2×D3semidirect
404. C2×C22⋊C4D12semidirect
759. C3#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#54942
C22×#8832
C3×#23152
#821272
#821082
#746292
#746282
#745202
#745172
#740492
#740482
#740322
#740292
#740282
#739532
#367093