Finite Group Databasebeta

← #10975353

Subgroups — #10975353

Order 768.

2742 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#538C211yesmaximal, characteristic, complemented
2C22×#883C211yesmaximal, characteristic, complemented
3#83107C214yesmaximal, complemented
4#82999C214yesmaximal, complemented
5#82845C214yesmaximal, complemented
6#82819C211yesmaximal, characteristic, complemented
7#82775C211yesmaximal, characteristic, complemented
8#82708C211yesmaximal, characteristic, complemented
9#82665C211yesmaximal, characteristic, complemented
10#82659C214yesmaximal, complemented
11#82606C212yesmaximal, complemented
12#82584C212yesmaximal, complemented
13C4×#937C212yesmaximal, complemented
14#82326C212yesmaximal, complemented
15#82083C211yesmaximal, characteristic, complemented
16#35394—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C23×C4×D3C2211yescharacteristic
19C3×#538—28no—
20C2×C3×#126C2212yescomplemented
21C2×C3×#124C2212yescomplemented
22C2×C3×#123C2212yescomplemented
23C2×C3×C22⋊Q8C2211yescharacteristic
24C2×C3×#121C2211yescharacteristic
25C2×C3×#121C2212yescomplemented
26C2×C3×#120C2212yes—
27C2×C3×C4×D4C2212yes—
28C22×C3×C22⋊C4C2211yescharacteristic
29C22×#217C2211yescharacteristic
30C22×#217C2212yes—
31C2×#939C2214yes—
32C2×#937C2212yes—
33C2×#935C2212yes—
34C2×C4×#67C2214yescomplemented
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C22×C4⋊Dic3C2211yescharacteristic
37C22×Dic3⋊C4C2211yescharacteristic
38C2×#883—28no—
39C2×#883C2214yes—
40C2×#883C2214yes—
41#5231C2212yescomplemented
42#5229C2212yescomplemented
43#5223C2214yes—
44#5223C2212yescomplemented
45#5222C2214yescomplemented
46#5221C2212yescomplemented
47#5220C2212yes—
48#5220C2212yes—
49#5220C2214yescomplemented
50#5210C2214yescomplemented
51C4×#217C2211yescharacteristic
52C4×#217C2211yescharacteristic
53C4×#217C2212yes—
54#4993C2212yescomplemented
55#4992C2212yescomplemented
56#4990C2214yescomplemented
57#4989C2214yescomplemented
58#4981C2214yescomplemented
59#4977C2212yescomplemented
60#4976C2214yescomplemented
61#4975C2212yescomplemented
62#4959C2214yes—
63#4958C2214yes—
64#4957C2214yescomplemented
65#4956C2214yescomplemented
66#4955C2212yes—
67#4953C2214yescomplemented
68#4952C2214yescomplemented
69#4946C2212yes—
70#4946C2212yes—
71#4945C2214yescomplemented
72#4943C2212yes—
73#4942C2214yescomplemented
74Dic3×C22⋊C4C2214yescomplemented
75Dic3×C22⋊C4C2214yescomplemented
76C4×(C2×D3)⋊C4C2214yescomplemented
77#4933C2214yescomplemented
78C2×#538D311yescharacteristic, complemented
79C22×#123—31no—
80#2561—31no—
81#2557—34no—
82#2553—34no—
83#2539—31no—
84#2504—31no—
85#2502—31no—
86#2464—34no—
87#2422—34no—
88#2412—32no—
89#2410—32no—
90#2322—32no—
91C4×#120—32no—
92#2273—31no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×Q8C2311yescharacteristic
96C22×C3×D4C2312yes—
97C22×C3×D4C2312yes—
98C22×C3×D4C2311yescharacteristic
99C22×C3×D4C2312yes—
100C23×C3×C4C2312yes—
101C23×C3×C4C2311yescharacteristic
102C23×C3×C4C2311yescharacteristic
103C22×#67—24no—
104C22×#67—44no—
105C22×#67C2314yes—
106C22×#67C2314yes—
107C23×Dic3C2311yescharacteristic
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2314yes—
110C23×Dic3C2311yescharacteristic
111C22×C4×D3—24no—
112C22×C4×D3—44no—
113C22×C4×D3C2314yes—
114C3×#126—28no—
115C3×#124—28no—
116C3×#123—28no—
117C3×C22⋊Q8—24no—
118C3×#121—24no—
119C3×#121—28no—
120C3×#120—28no—
121C3×C4×D4—28no—
122C2×C3×C4⋊C4C2311yescharacteristic
123C2×C3×C4⋊C4C2312yes—
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2312yes—
126C2×C3×C22⋊C4D418yescomplemented
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C22⋊C4C2312yes—
129C2×C3×C22⋊C4C2312yes—
130C2×C3×C22⋊C4C2312yes—
131C2×C3×C22⋊C4C2312yes—
132C2×C3×C22⋊C4C2312yes—
133C2×C3×C22⋊C4C2312yes—
134C2×C3×C42C2312yes—
135C2×#217—24no—
136C2×#217—28no—
137C2×#217C2314yes—
138C2×#217C2314yes—
139C2×#217C2312yes—
140C2×#217C2314yes—
141C2×#217C2314yes—
142C2×#217C2314yes—
143C2×#217C2312yes—
144#939—48no—
145#937—28no—
146#935—28no—
147C4×#67—48no—
148C2×(C2×D3)⋊C4—24no—
149C2×(C2×D3)⋊C4C2314yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×(C2×D3)⋊C4C2312yes—
152C2×(C2×D3)⋊C4C2312yes—
153C2×(C2×D3)⋊C4C2314yes—
154C2×C4⋊Dic3—24no—
155C2×C4⋊Dic3C2312yes—
156C2×C4⋊Dic3C2312yes—
157C2×Dic3⋊C4—24no—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2314yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2314yes—
162C2×C4×Dic3C2314yes—
163C2×C4×Dic3C2312yes—
164C2×C4×Dic3C2312yes—
165#883—216no—
166#883—216no—
167C3⋊#95C2314yes—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2312yes—
174C3⋊#95C2312yes—
175C3⋊#95C2314yes—
176C23×D4—31no—
177C24×C4—31no—
178#538—28no—
179C2×#126C2×D312yescomplemented
180C2×#124C2×D312yescomplemented
181C2×#123—32no—
182C2×#123—34no—
183C2×#123—34no—
184C2×#123—68no—
185C2×#123C2×D312yescomplemented
186C2×C22⋊Q8C2×D311yescharacteristic
187C2×#121—34no—
188C2×#121C2×D311yescharacteristic
189C2×#121C2×D312yescomplemented
190C2×#120—32no—
191C2×#120C2×D312yes—
192C2×C4×D4—34no—
193C2×C4×D4C2×D312yes—
194C22×C4⋊C4—31no—
195C22×C4⋊C4—31no—
196C22×C22⋊C4—32no—
197C22×C22⋊C4—31no—
198C22×C22⋊C4—31no—
199C22×C22⋊C4C2×D311yescharacteristic
200#399—32no—
201#398—34no—
202#397—32no—
203#397—34no—
204#397—34no—
205#394—34no—
206#394—34no—
207#393—32no—
208#392—34no—
209#392—32no—
210#391—32no—
211#390—32no—
212#390—34no—
213#389—34no—
214#388—34no—
215#388—34no—
216#387—34no—
217#386—32no—
218#386—32no—
219#386—34no—
220#386—34no—
221#386—34no—
222#385—34no—
223#385—34no—
224#385—32no—
225#385—32no—
226#384—32no—
227#382—32no—
228#381—32no—
229#380—34no—
230#379—32no—
231C4×C22⋊C4—31no—
232C4×C22⋊C4—32no—
233C4×C22⋊C4—31no—
234C4×C22⋊C4—34no—
235C4×C22⋊C4—34no—
236C4×C22⋊C4—34no—
237C24×C3—24no—
238C24×C3—42no—
239C24×C3—42no—
240C24×C3C2×D414yes—
241C24×C3C2412yes—
242C24×C3C2412yes—
243C24×C3C2411yescharacteristic
244C23×D3—22no—
245C23×D3—24no—
246C23×D3—24no—
247C23×D3—42no—
248C23×D3C2412yes—
249C2×C3×Q8—22no—
250C2×C3×Q8—42no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—24no—
254C2×C3×D4—24no—
255C2×C3×D4—24no—
256C2×C3×D4—22no—
257C2×C3×D4—44no—
258C2×C3×D4—42no—
259C2×C3×D4—44no—
260C22×C3×C4—24no—
261C22×C3×C4—42no—
262C22×C3×C4—42no—
263C22×C3×C4—44no—
264C22×C3×C4C2×D414yes—
265C22×C3×C4C2×D414yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2412yes—
269C22×C3×C4C2412yes—
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2411yescharacteristic
272C2×#67—28no—
273C2×#67—28no—
274C2×#67—28no—
275C2×#67—28no—
276C2×#67—44no—
277C2×#67—44no—
278C2×#67—416no—
279C22×Dic3—22no—
280C22×Dic3—22no—
281C22×Dic3—22no—
282C22×Dic3—24no—
283C22×Dic3—28no—
284C22×Dic3—42no—
285C22×Dic3—42no—
286C22×Dic3—44no—
287C22×Dic3—44no—
288C22×Dic3C2414yes—
289C22×Dic3C2412yes—
290C22×Dic3C2412yes—
291C22×Dic3C2412yes—
292C22×Dic3C2414yes—
293C2×C4×D3—28no—
294C2×C4×D3—28no—
295C2×C4×D3—44no—
296C2×C4×D3—416no—
297C3×C4⋊C4—24no—
298C3×C4⋊C4—24no—
299C3×C4⋊C4—22no—
300C3×C4⋊C4—22no—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4C2×D418yes—
307C3×C22⋊C4C2×D418yes—
308C3×C42—24no—
309#217—28no—
310#217—24no—
311#217—28no—
312#217—28no—
313#217—44no—
314#217—44no—
315#217#4118yes—
316(C2×D3)⋊C4—28no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—28no—
320(C2×D3)⋊C4—44no—
321C4⋊Dic3—24no—
322C4⋊Dic3—24no—
323Dic3⋊C4—28no—
324Dic3⋊C4—28no—
325Dic3⋊C4—44no—
326Dic3⋊C4—44no—
327C4×Dic3—42no—
328C4×Dic3—42no—
329C4×Dic3—44no—
330C25—31no—
331C25C22×D311yescharacteristic
332C22×Q8C22×D311yescharacteristic
333C22×D4—34no—
334C22×D4—34no—
335C22×D4—64no—
336C22×D4—124no—
337C22×D4C22×D312yes—
338C22×D4C22×D312yes—
339C22×D4C22×D312yes—
340C22×D4C22×D311yescharacteristic
341C23×C4—31no—
342C23×C4—31no—
343C23×C4—34no—
344C23×C4—31no—
345C23×C4—34no—
346C23×C4—64no—
347C23×C4—124no—
348C23×C4C22×D312yes—
349C23×C4C22×D311yescharacteristic
350C23×C4C22×D311yescharacteristic
351#126—28no—
352#124—28no—
353#123—28no—
354#123—68no—
355#123—616no—
356#123—616no—
357C22⋊Q8—24no—
358#121—24no—
359#121—28no—
360#121—128no—
361#120—28no—
362#120—68no—
363C4×D4—28no—
364C4×D4—128no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—34no—
368C2×C4⋊C4—34no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4—64no—
372C2×C4⋊C4—64no—
373C2×C4⋊C4C22×D312yes—
374C2×C4⋊C4C22×D311yescharacteristic
375C2×C4⋊C4C22×D312yes—
376C2×C4⋊C4C22×D311yescharacteristic
377C2×C22⋊C4—32no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—68no—
390C2×C22⋊C4—64no—
391C2×C22⋊C4—64no—
392C2×C22⋊C4#6718yescomplemented
393C2×C22⋊C4C22×D312yes—
394C2×C22⋊C4C22×D312yes—
395C2×C22⋊C4C22×D312yes—
396C2×C22⋊C4C22×D312yes—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D312yes—
399C2×C22⋊C4C22×D312yes—
400C2×C42—34no—
401C2×C42—32no—
402C2×C42—32no—
403C2×C42C22×D312yes—
404#95—34no—
405#95—32no—
406#95—32no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—22no—
416C23×C3—22no—
417C23×C3—24no—
418C23×C3—24no—
419C23×C3—28no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—44no—
426C23×C3—44no—
427C23×C3—88no—
428C23×C3C22×D414yes—
429C23×C3C22×D412yes—
430C23×C3C2×#4114yes—
431C23×C3C2511yescharacteristic
432C22×D3—28no—
433C22×D3—22no—
434C22×D3—24no—
435C22×D3—22no—
436C22×D3—24no—
437C22×D3—416no—
438C22×D3—44no—
439C22×D3—44no—
440C22×D3H(5,𝔽2)14yes—
441C3×Q8—82no—
442C3×D4—48no—
443C3×D4—82no—
444C3×D4—84no—
445C3×D4—84no—
446C2×C3×C4—24no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—24no—
455C2×C3×C4—24no—
456C2×C3×C4—44no—
457C2×C3×C4—44no—
458C2×C3×C4—84no—
459C2×C3×C4C22×D414yes—
460C2×C3×C4C22×D412yes—
461C2×C3×C4C22×D412yes—
462#67—416no—
463#67—416no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—24no—
470C2×Dic3—24no—
471C2×Dic3—24no—
472C2×Dic3—24no—
473C2×Dic3—24no—
474C2×Dic3—24no—
475C2×Dic3—44no—
476C2×Dic3—44no—
477C2×Dic3—44no—
478C2×Dic3—88no—
479C2×Dic3C2×#4118yes—
480C4×D3—416no—
481C24—24no—
482C24—32no—
483C24—42no—
484C24—42no—
485C24—64no—
486C24—62no—
487C24—64no—
488C24—122no—
489C24C2×#6714yes—
490C24C23×D312yes—
491C24C23×D312yes—
492C24C23×D311yescharacteristic
493C2×Q8—22no—
494C2×Q8—42no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—44no—
504C2×D4—68no—
505C2×D4—68no—
506C2×D4—68no—
507C2×D4—68no—
508C2×D4—124no—
509C2×D4—124no—
510C2×D4—1216no—
511C22×C4—24no—
512C22×C4—34no—
513C22×C4—34no—
514C22×C4—32no—
515C22×C4—32no—
516C22×C4—32no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—68no—
521C22×C4—68no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—62no—
526C22×C4—68no—
527C22×C4—124no—
528C22×C4—1216no—
529C22×C4—122no—
530C22×C4—122no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4C2×#6714yes—
534C22×C4C2×#6714yes—
535C22×C4C23×D312yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D312yes—
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D311yescharacteristic
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—68no—
546C4⋊C4—68no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—38no—
557C22⋊C4—68no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—68no—
561C22⋊C4—64no—
562C22⋊C4—68no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—124no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4C2×#6718yes—
569C22⋊C4C2×#6718yes—
570C42—24no—
571C42—124no—
572C42—122no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—28no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—24no—
580C22×C3—44no—
581C22×C3—44no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—88no—
588C22×C3#53214yes—
589C22×C3C23×D411yescharacteristic
590C22×C3C22×#4112yes—
591C22×C3C2×H(5,𝔽2)12yes—
592C22×C3#58512yes—
593C2×D3—24no—
594C2×D3—28no—
595C2×D3—416no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—44no—
599C3×C4—24no—
600C3×C4—22no—
601C3×C4—22no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—42no—
605Dic3—28no—
606Dic3—42no—
607Dic3—42no—
608Dic3—42no—
609Dic3—44no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—24no—
615C23—24no—
616C23—28no—
617C23—22no—
618C23—22no—
619C23—24no—
620C23—24no—
621C23—22no—
622C23—34no—
623C23—44no—
624C23—44no—
625C23—68no—
626C23—64no—
627C23—62no—
628C23—64no—
629C23—62no—
630C23—88no—
631C23—1216no—
632C23—124no—
633C23—124no—
634C23D3×#4114yes—
635C23C22×#6714yes—
636C23C22×#6712yes—
637C23C24×D311yescharacteristic
638Q8—82no—
639D4—48no—
640D4—82no—
641D4—84no—
642D4—84no—
643D4—1216no—
644D4—1216no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—38no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—64no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—84no—
670C2×C4—1216no—
671C2×C4—124no—
672C2×C4—124no—
673C2×C4—124no—
674C2×C4—248no—
675C2×C4C22×#6714yes—
676C2×C4C22×#6712yes—
677C2×C4C22×#6712yes—
678C2×C3—24no—
679C2×C3—44no—
680C2×C3—82no—
681C2×C3C2×#53211yescharacteristic
682C2×C3#348411yescharacteristic
683C2×C3#348511yescharacteristic
684C2×C3#351314yes—
685D3—44no—
686C22—28no—
687C22—22no—
688C22—22no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—44no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—68no—
700C22—64no—
701C22—88no—
702C22—1216no—
703C22—124no—
704C22—122no—
705C22—122no—
706C22#583214yes—
707C22C2×D3×#4112yes—
708C22D3×H(5,𝔽2)12yes—
709C22#596612yes—
710C22C23×#6711yescharacteristic
711C4—22no—
712C4—22no—
713C4—24no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—68no—
718C4—124no—
719C4—122no—
720C4—122no—
721C4—122no—
722C3#3539411yescharacteristic, complemented, Sylow
723C2—24no—
724C2—44no—
725C2—82no—
726C2—124no—
727C2#8641614yes—
728C2C2×#583211yescharacteristic
729C2#8728011yescharacteristic
730C2#8728411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#538C2
hypercenterC2×#538D3
hypocenterC3#35394
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C3×#538C2semidirect
2. C22×#883C2semidirect
3. #83107C2semidirect
4. #82999C2semidirect
5. #82845C2semidirect
6. #82819C2semidirect
7. #82775C2semidirect
8. #82708C2semidirect
9. #82665C2semidirect
10. #82659C2semidirect
11. #82606C2semidirect
12. #82584C2semidirect
13. C4×#937C2semidirect
14. #82326C2semidirect
15. #82083C2semidirect
20. C2×C3×#126C22semidirect
21. C2×C3×#124C22semidirect
22. C2×C3×#123C22semidirect
25. C2×C3×#121C22semidirect
34. C2×C4×#67C22semidirect
41. #5231C22semidirect
42. #5229C22semidirect
44. #5223C22semidirect
45. #5222C22semidirect
46. #5221C22semidirect
49. #5220C22semidirect
50. #5210C22semidirect
54. #4993C22semidirect
55. #4992C22semidirect
56. #4990C22semidirect
57. #4989C22semidirect
58. #4981C22semidirect
59. #4977C22semidirect
60. #4976C22semidirect
61. #4975C22semidirect
64. #4957C22semidirect
65. #4956C22semidirect
67. #4953C22semidirect
68. #4952C22semidirect
71. #4945C22semidirect
73. #4942C22semidirect
74. Dic3×C22⋊C4C22semidirect
75. Dic3×C22⋊C4C22semidirect
76. C4×(C2×D3)⋊C4C22semidirect
77. #4933C22semidirect
78. C2×#538D3semidirect
126. C2×C3×C22⋊C4D4semidirect
179. C2×#126C2×D3semidirect
180. C2×#124C2×D3semidirect
185. C2×#123C2×D3semidirect
189. C2×#121C2×D3semidirect
392. C2×C22⋊C4#67semidirect
722. C3#35394semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5382
C22×#8832
#831072
#829992
#828452
#828192
#827752
#827082
#826652
#826592
#826062
#825842
C4×#9372
#823262
#820832
#353943