Finite Group Databasebeta

← #11002011

Subgroups — #11002011

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
1C22×#929C211yesmaximal, characteristic, complemented
2C2×#5617C211yesmaximal, characteristic, complemented
3C3×#2847C211yesmaximal, characteristic, complemented
4#84031C211yesmaximal, characteristic, complemented
5#82715C214yesmaximal, complemented
6#82675C211yesmaximal, characteristic, complemented
7#82605C212yesmaximal, complemented
8#82590C212yesmaximal, complemented
9#74914C214yesmaximal, complemented
10#74804C214yesmaximal, complemented
11#74738C212yesmaximal, complemented
12#74690C212yesmaximal, complemented
13#74041C214yesmaximal, complemented
14#74005C211yesmaximal, characteristic, complemented
15#73953C211yesmaximal, characteristic, complemented
16#36709—31nomaximal, Sylow
17C24×C3×C4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×#121C2212yescomplemented
21C2×C3×#120C2212yes—
22C22×#217C2211yescharacteristic
23C2×#939C2212yescomplemented
24C2×#938C2214yes—
25C2×#937C2212yes—
26C2×#935C2212yes—
27C2×D4×Dic3C2212yes—
28C2×#929—28no—
29C2×#929C2214yes—
30C2×#929C2214yes—
31C22×(C2×D3)⋊C4C2211yescharacteristic
32C22×(C2×D3)⋊C4C2211yescharacteristic
33C2×#924C2211yescharacteristic
34C2×#924C2212yescomplemented
35C22×Dic3⋊C4C2211yescharacteristic
36C22×Dic3⋊C4C2211yescharacteristic
37#5617—28no—
38C2×#898C2212yescomplemented
39C2×#886C2212yescomplemented
40C2×#885C2212yescomplemented
41C2×D3×C22⋊C4C2212yes—
42C3×#386C2212yes—
43C3×#386C2214yescomplemented
44C3×#380C2211yescharacteristic
45C3×#380C2212yescomplemented
46#5247C2212yes—
47#5223C2214yes—
48#5222C2212yescomplemented
49#5222C2214yescomplemented
50#5220C2212yes—
51#5220C2214yescomplemented
52#5212C2211yescharacteristic
53#5212C2212yescomplemented
54#5210C2212yes—
55#5210C2214yescomplemented
56#4989C2214yescomplemented
57#4983C2212yescomplemented
58#4981C2214yescomplemented
59#4961C2214yes—
60#4959C2214yescomplemented
61#4956C2214yes—
62#4956C2214yescomplemented
63#4950C2212yes—
64#4949C2214yescomplemented
65#4948C2214yescomplemented
66#4948C2214yescomplemented
67#4945C2214yescomplemented
68#4943C2212yes—
69#4942C2212yes—
70#4942C2214yescomplemented
71#4675C2214yescomplemented
72#4668C2214yescomplemented
73#4667C2214yescomplemented
74#4660C2214yescomplemented
75#4659C2212yescomplemented
76#4656C2212yescomplemented
77#4647C2214yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2848—31no—
81#2847D311yescharacteristic, complemented
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#2315—31no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×D4C2312yes—
96C22×C3×D4C2314yes—
97C22×C3×D4C2311yescharacteristic
98C23×C3×C4—24no—
99C23×C3×C4—44no—
100C23×C3×C4C2312yes—
101C23×C3×C4C2312yes—
102C23×C3×C4C2311yescharacteristic
103C23×C3×C4C2311yescharacteristic
104C22×#67—24no—
105C22×#67—44no—
106C22×#67C2314yes—
107C22×#67C2312yes—
108C22×#67C2312yes—
109C23×Dic3C2311yescharacteristic
110C23×Dic3C2312yes—
111C23×Dic3C2311yescharacteristic
112C23×Dic3C2311yescharacteristic
113C22×C4×D3C2314yes—
114C22×Dic6C2311yescharacteristic
115C3×#121—24no—
116C3×#121—44no—
117C3×#120—44no—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C22⋊C4C2312yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C22⋊C4C2314yes—
124C2×#217—24no—
125C2×#217C2312yes—
126C2×#217C2312yes—
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2312yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133#939—28no—
134#938—48no—
135#937—28no—
136#935—44no—
137D4×Dic3—28no—
138#929—216no—
139#929—216no—
140C2×(C2×D3)⋊C4—24no—
141C2×(C2×D3)⋊C4D418yescomplemented
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2312yes—
145C2×(C2×D3)⋊C4C2314yes—
146C2×(C2×D3)⋊C4C2312yes—
147C2×(C2×D3)⋊C4C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2314yes—
151C2×C4⋊Dic3C2312yes—
152#924—24no—
153#924—44no—
154C2×Dic3⋊C4—24no—
155C2×Dic3⋊C4—24no—
156C2×Dic3⋊C4C2314yes—
157C2×Dic3⋊C4C2312yes—
158C2×Dic3⋊C4C2312yes—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2314yes—
162C2×Dic3⋊C4C2314yes—
163C2×C4×Dic3C2312yes—
164#898—28no—
165#886—28no—
166#885—28no—
167D3×C22⋊C4—44no—
168C3×#95C2314yes—
169C3×#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2312yes—
177C23×D4—31no—
178C24×C4C2×D311yescharacteristic
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—32no—
190C2×#121—34no—
191C2×#121C2×D311yescharacteristic
192C2×#121C2×D312yescomplemented
193C2×#120—32no—
194C2×#120C2×D312yes—
195C2×C4×D4—32no—
196C22×C4⋊C4—31no—
197C22×C4⋊C4—31no—
198C22×C22⋊C4—31no—
199C22×C22⋊C4—31no—
200C22×C22⋊C4—31no—
201C22×C22⋊C4—32no—
202#400—32no—
203#400—34no—
204#399—34no—
205#398—32no—
206#398—34no—
207#397—34no—
208#396—34no—
209#396—34no—
210#395—32no—
211#394—32no—
212#394—34no—
213#394—34no—
214#394—34no—
215#392—34no—
216#389—34no—
217#388—34no—
218#386—32no—
219#386—34no—
220#386—34no—
221#386—34no—
222#386C2×D312yes—
223#386C2×D314yescomplemented
224#385—32no—
225#385—34no—
226#385—34no—
227#385—32no—
228#385—34no—
229#381—32no—
230#380—31no—
231#380—32no—
232#380—32no—
233#380—34no—
234#380—34no—
235#380C2×D311yescharacteristic
236#380C2×D312yescomplemented
237#379—32no—
238C24×C3—22no—
239C24×C3—24no—
240C24×C3—22no—
241C24×C3—22no—
242C24×C3—42no—
243C24×C3C2412yes—
244C24×C3C2412yes—
245C24×C3C2411yescharacteristic
246C23×D3—22no—
247C23×D3—22no—
248C23×D3—42no—
249C23×D3—42no—
250C23×D3C2×D414yes—
251C23×D3C2412yes—
252C2×C3×D4—24no—
253C2×C3×D4—24no—
254C2×C3×D4—24no—
255C2×C3×D4—28no—
256C2×C3×D4—22no—
257C2×C3×D4—44no—
258C2×C3×D4—42no—
259C2×C3×D4—44no—
260C22×C3×C4—22no—
261C22×C3×C4—24no—
262C22×C3×C4—24no—
263C22×C3×C4—24no—
264C22×C3×C4—24no—
265C22×C3×C4—42no—
266C22×C3×C4—42no—
267C22×C3×C4—42no—
268C22×C3×C4—42no—
269C22×C3×C4—416no—
270C22×C3×C4C2×D414yes—
271C22×C3×C4C2414yes—
272C22×C3×C4C2412yes—
273C22×C3×C4C2412yes—
274C22×C3×C4C2411yescharacteristic
275C22×C3×C4C2411yescharacteristic
276C2×#67—28no—
277C2×#67—28no—
278C2×#67—24no—
279C2×#67—24no—
280C2×#67—44no—
281C2×#67—44no—
282C2×#67—44no—
283C2×#67—416no—
284C22×Dic3—22no—
285C22×Dic3—22no—
286C22×Dic3—22no—
287C22×Dic3—22no—
288C22×Dic3—24no—
289C22×Dic3—42no—
290C22×Dic3—42no—
291C22×Dic3—44no—
292C22×Dic3C2×D414yes—
293C22×Dic3C2412yes—
294C22×Dic3C2412yes—
295C22×Dic3C2412yes—
296C22×Dic3C2414yes—
297C22×Dic3C2412yes—
298C22×Dic3C2412yes—
299C2×C4×D3—44no—
300C2×C4×D3—44no—
301C2×C4×D3—44no—
302C2×Dic6—22no—
303C2×Dic6—42no—
304C3×C4⋊C4—22no—
305C3×C4⋊C4—42no—
306C3×C22⋊C4—24no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—44no—
309C3×C22⋊C4—44no—
310#217—24no—
311#217—24no—
312#217—28no—
313#217—24no—
314#217—28no—
315#217—44no—
316#217—44no—
317#217—44no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—28no—
321(C2×D3)⋊C4—44no—
322(C2×D3)⋊C4C2×D418yes—
323(C2×D3)⋊C4C2×D418yes—
324C4⋊Dic3—22no—
325C4⋊Dic3—24no—
326C4⋊Dic3—42no—
327C4⋊Dic3—44no—
328Dic3⋊C4—24no—
329Dic3⋊C4—24no—
330Dic3⋊C4—24no—
331Dic3⋊C4—28no—
332Dic3⋊C4—44no—
333Dic3⋊C4—44no—
334Dic3⋊C4—44no—
335C4×Dic3—24no—
336C25—31no—
337C25C22×D311yescharacteristic
338C22×Q8—31no—
339C22×D4—34no—
340C22×D4—32no—
341C22×D4—32no—
342C22×D4—64no—
343C22×D4—124no—
344C22×D4C22×D312yes—
345C22×D4C22×D314yes—
346C22×D4C22×D311yescharacteristic
347C23×C4—24no—
348C23×C4—31no—
349C23×C4—31no—
350C23×C4—31no—
351C23×C4—32no—
352C23×C4—34no—
353C23×C4—44no—
354C23×C4C22×D312yes—
355C23×C4C22×D312yes—
356C23×C4C22×D311yescharacteristic
357C23×C4C22×D311yescharacteristic
358#126—68no—
359#124—68no—
360#123—68no—
361#123—616no—
362#123—616no—
363#123—124no—
364C22⋊Q8—64no—
365C22⋊Q8—124no—
366#121—24no—
367#121—44no—
368#121—68no—
369#121—128no—
370#120—44no—
371#120—68no—
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—34no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—34no—
383C2×C4⋊C4—34no—
384C2×C4⋊C4—64no—
385C2×C4⋊C4—64no—
386C2×C4⋊C4C22×D311yescharacteristic
387C2×C4⋊C4C22×D312yes—
388C2×C22⋊C4—38no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—64no—
404C2×C22⋊C4—64no—
405C2×C22⋊C4—124no—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C22⋊C4C22×D314yes—
409C2×C22⋊C4C22×D314yes—
410C2×C42—32no—
411#95—34no—
412#95—34no—
413#95—32no—
414#95—34no—
415#95—34no—
416#95—34no—
417#95—34no—
418#95C22×D314yes—
419#95C22×D312yes—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—28no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—24no—
432C23×C3—22no—
433C23×C3—24no—
434C23×C3—48no—
435C23×C3—48no—
436C23×C3—44no—
437C23×C3—44no—
438C23×C3C22×D412yes—
439C23×C3H(5,𝔽2)14yes—
440C23×C3H(5,𝔽2)12yes—
441C23×C32−1+412yes—
442C23×C3C2511yescharacteristic
443C22×D3—22no—
444C22×D3—24no—
445C22×D3—22no—
446C22×D3—24no—
447C22×D3—28no—
448C22×D3—44no—
449C22×D3—44no—
450C22×D3—84no—
451C22×D3—84no—
452C22×D3C22×D414yes—
453C3×D4—48no—
454C3×D4—82no—
455C3×D4—88no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—24no—
463C2×C3×C4—24no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—24no—
467C2×C3×C4—44no—
468C2×C3×C4—48no—
469C2×C3×C4—48no—
470C2×C3×C4—44no—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C22×D412yes—
473#67—416no—
474#67—84no—
475#67—84no—
476C2×Dic3—24no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—24no—
483C2×Dic3—24no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—22no—
487C2×Dic3—24no—
488C2×Dic3—24no—
489C2×Dic3—44no—
490C2×Dic3—44no—
491C2×Dic3—44no—
492C2×Dic3—84no—
493C2×Dic3C22×D414yes—
494C4×D3—88no—
495Dic6—82no—
496C24—22no—
497C24—24no—
498C24—22no—
499C24—22no—
500C24—32no—
501C24—34no—
502C24—42no—
503C24—62no—
504C24—62no—
505C24—122no—
506C24—122no—
507C24C23×D312yes—
508C24C23×D312yes—
509C24C23×D311yescharacteristic
510C2×Q8—62no—
511C2×Q8—122no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—24no—
515C2×D4—28no—
516C2×D4—22no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—68no—
521C2×D4—68no—
522C2×D4—64no—
523C2×D4—64no—
524C2×D4—124no—
525C2×D4—124no—
526C2×D4—124no—
527C2×D4—1216no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—32no—
534C22×C4—34no—
535C22×C4—32no—
536C22×C4—32no—
537C22×C4—34no—
538C22×C4—32no—
539C22×C4—32no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—416no—
545C22×C4—64no—
546C22×C4—62no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—62no—
550C22×C4—124no—
551C22×C4—124no—
552C22×C4—124no—
553C22×C4—122no—
554C22×C4—122no—
555C22×C4—124no—
556C22×C4D3×D414yes—
557C22×C4C23×D314yes—
558C22×C4C23×D312yes—
559C22×C4C23×D312yes—
560C22×C4C23×D311yescharacteristic
561C22×C4C23×D311yescharacteristic
562C4⋊C4—22no—
563C4⋊C4—42no—
564C4⋊C4—68no—
565C4⋊C4—64no—
566C4⋊C4—64no—
567C4⋊C4—64no—
568C4⋊C4—64no—
569C4⋊C4—62no—
570C4⋊C4—124no—
571C4⋊C4—124no—
572C4⋊C4—122no—
573C4⋊C4—124no—
574C4⋊C4—124no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—38no—
578C22⋊C4—38no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—68no—
582C22⋊C4—64no—
583C22⋊C4—64no—
584C22⋊C4—68no—
585C22⋊C4—64no—
586C22⋊C4—64no—
587C22⋊C4—64no—
588C22⋊C4—68no—
589C22⋊C4—124no—
590C22⋊C4—124no—
591C22⋊C4—124no—
592C22⋊C4—124no—
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—416no—
602C22×C3—42no—
603C22×C3—42no—
604C22×C3—42no—
605C22×C3—42no—
606C22×C3—42no—
607C22×C3—42no—
608C22×C3—42no—
609C22×C3—44no—
610C22×C3—44no—
611C22×C3#53714yes—
612C22×C3C23×D411yescharacteristic
613C22×C3C2×H(5,𝔽2)11yescharacteristic
614C22×C3C2×H(5,𝔽2)12yes—
615C22×C3C2×2−1+411yescharacteristic
616C22×C3#58512yes—
617C2×D3—24no—
618C2×D3—24no—
619C2×D3—24no—
620C2×D3—44no—
621C2×D3—44no—
622C2×D3—88no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—42no—
626C3×C4—42no—
627C3×C4—44no—
628Dic3—24no—
629Dic3—42no—
630Dic3—42no—
631Dic3—42no—
632Dic3—42no—
633Dic3—44no—
634C23—22no—
635C23—22no—
636C23—28no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—24no—
645C23—22no—
646C23—22no—
647C23—24no—
648C23—34no—
649C23—48no—
650C23—48no—
651C23—44no—
652C23—44no—
653C23—62no—
654C23—64no—
655C23—62no—
656C23—64no—
657C23—68no—
658C23—124no—
659C23—124no—
660C23—244no—
661C23—244no—
662C23C2×D3×D412yes—
663C23#100414yes—
664C23#100412yes—
665C23#101012yes—
666C23C24×D311yescharacteristic
667Q8—242no—
668D4—48no—
669D4—82no—
670D4—88no—
671D4—1216no—
672D4—244no—
673D4—244no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—34no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—64no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—64no—
696C2×C4—64no—
697C2×C4—64no—
698C2×C4—62no—
699C2×C4—64no—
700C2×C4—62no—
701C2×C4—64no—
702C2×C4—64no—
703C2×C4—124no—
704C2×C4—124no—
705C2×C4—124no—
706C2×C4—248no—
707C2×C4—244no—
708C2×C4C2×D3×D412yes—
709C2×C4C2×D3×D412yes—
710C2×C3—24no—
711C2×C3—44no—
712C2×C3—82no—
713C2×C3C2×#53711yescharacteristic
714C2×C3#348411yescharacteristic
715C2×C3#348511yescharacteristic
716C2×C3#353412yes—
717C2×C3#353512yes—
718D3—44no—
719C22—24no—
720C22—22no—
721C22—22no—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—416no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—44no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—44no—
736C22—64no—
737C22—64no—
738C22—64no—
739C22—124no—
740C22—124no—
741C22—248no—
742C22#560814yes—
743C22C22×D3×D411yescharacteristic
744C22C2×#100412yes—
745C22C2×#100411yescharacteristic
746C22C2×#101011yescharacteristic
747C22#596412yes—
748C4—22no—
749C4—22no—
750C4—42no—
751C4—42no—
752C4—44no—
753C4—64no—
754C4—122no—
755C4—122no—
756C4—122no—
757C4—122no—
758C4—124no—
759C3#3670911yescharacteristic, complemented, Sylow
760C2—24no—
761C2—44no—
762C2—82no—
763C2—124no—
764C2#8591911yescharacteristic
765C2C2×#560811yescharacteristic
766C2#8595412yes—
767C2#8603012yes—
768C2#8604011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2847C2
hypercenter#2847D3
hypocenterC3#36709
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C22×#929C2semidirect
2. C2×#5617C2semidirect
3. C3×#2847C2semidirect
4. #84031C2semidirect
5. #82715C2semidirect
6. #82675C2semidirect
7. #82605C2semidirect
8. #82590C2semidirect
9. #74914C2semidirect
10. #74804C2semidirect
11. #74738C2semidirect
12. #74690C2semidirect
13. #74041C2semidirect
14. #74005C2semidirect
15. #73953C2semidirect
20. C2×C3×#121C22semidirect
23. C2×#939C22semidirect
34. C2×#924C22semidirect
38. C2×#898C22semidirect
39. C2×#886C22semidirect
40. C2×#885C22semidirect
43. C3×#386C22semidirect
45. C3×#380C22semidirect
48. #5222C22semidirect
49. #5222C22semidirect
51. #5220C22semidirect
53. #5212C22semidirect
55. #5210C22semidirect
56. #4989C22semidirect
57. #4983C22semidirect
58. #4981C22semidirect
60. #4959C22semidirect
62. #4956C22semidirect
64. #4949C22semidirect
65. #4948C22semidirect
66. #4948C22semidirect
67. #4945C22semidirect
70. #4942C22semidirect
71. #4675C22semidirect
72. #4668C22semidirect
73. #4667C22semidirect
74. #4660C22semidirect
75. #4659C22semidirect
76. #4656C22semidirect
77. #4647C22semidirect
81. #2847D3semidirect
141. C2×(C2×D3)⋊C4D4semidirect
192. C2×#121C2×D3semidirect
223. #386C2×D3semidirect
236. #380C2×D3semidirect
759. C3#36709semidirect

Maximal subgroups

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

subgroupindex
C22×#9292
C2×#56172
C3×#28472
#840312
#827152
#826752
#826052
#825902
#749142
#748042
#747382
#746902
#740412
#740052
#739532
#367093