Finite Group Databasebeta

← #11024905

Subgroups — #11024905

Order 768.

3312 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#540C211yesmaximal, characteristic, complemented
2C2×D3×#127C211yesmaximal, characteristic, complemented
3#83172C211yesmaximal, characteristic, complemented
4#83072C211yesmaximal, characteristic, complemented
5#83067C211yesmaximal, characteristic, complemented
6#82893C214yesmaximal, complemented
7#82884C214yesmaximal, complemented
8#82702C214yesmaximal, complemented
9#82683C214yesmaximal, complemented
10#82649C212yesmaximal, complemented
11#82640C212yesmaximal, complemented
12D4×(C2×D3)⋊C4C212yesmaximal, complemented
13#82358C212yesmaximal, complemented
14#82286C211yesmaximal, characteristic, complemented
15#82268C211yesmaximal, characteristic, complemented
16#37694—31nomaximal, Sylow
17C22×D3×D4C2212yes—
18C22×D3×D4C2214yes—
19C3×#540—28no—
20C2×C3×#127C2211yescharacteristic
21C2×C3×#125C2211yescharacteristic, complemented
22C2×C3×#123C2214yescomplemented
23C2×C3×#121C2214yescomplemented
24C2×C3×#121C2212yescomplemented
25C2×C3×C4×D4C2212yescomplemented
26C2×C3×#117C2211yescharacteristic, complemented
27C2×#940C2212yes—
28C2×#940C2214yes—
29C2×#939C2214yescomplemented
30C2×#937C2214yes—
31C2×D4×Dic3C2212yescomplemented
32C2×#930C2212yescomplemented
33C2×#929C2214yescomplemented
34C2×C4×#67C2211yescharacteristic
35C22×(C2×D3)⋊C4C2214yes—
36D3×#127—28no—
37C2×#874C2211yescharacteristic
38C2×C42×D3C2211yescharacteristic
39#5223C2214yescomplemented
40#5223C2214yescomplemented
41#5221C2212yescomplemented
42#5220C2214yescomplemented
43#5220C2214yescomplemented
44#5213C2214yescomplemented
45#5213C2214yescomplemented
46C4×#217C2211yescharacteristic, complemented
47#4991C2214yescomplemented
48#4991C2214yescomplemented
49#4991C2214yescomplemented
50#4989C2214yes—
51#4989C2212yes—
52#4988C2212yescomplemented
53#4988C2212yescomplemented
54#4987C2212yes—
55#4978C2212yescomplemented
56#4978C2214yescomplemented
57#4972C2212yescomplemented
58#4960C2214yescomplemented
59#4959C2214yescomplemented
60#4959C2214yescomplemented
61#4959C2214yescomplemented
62#4959C2214yescomplemented
63#4958C2214yescomplemented
64#4958C2214yescomplemented
65#4956C2212yes—
66#4955C2214yes—
67#4955C2214yes—
68#4944C2212yescomplemented
69#4939C2212yescomplemented
70C4×(C2×D3)⋊C4C2211yescharacteristic
71#4936C2211yescharacteristic, complemented
72#4932C2211yescharacteristic, complemented
73C4×Dic3⋊C4C2211yescharacteristic, complemented
74C2×#540D311yescharacteristic, complemented
75C22×#127—31no—
76#2851—31no—
77#2709—34no—
78#2673—34no—
79#2641—31no—
80#2619—31no—
81#2445—32no—
82#2428—32no—
83#2410—34no—
84#2408—32no—
85#2405—34no—
86D4×C22⋊C4—32no—
87#2328—31no—
88#2290—31no—
89C24×D3C2314yes—
90C22×C3×D4C2312yes—
91C22×C3×D4C2314yes—
92C22×C3×D4C2314yes—
93C23×C3×C4C2311yescharacteristic
94C23×C3×C4C2314yes—
95C22×#67C2311yescharacteristic
96C22×#67C2314yes—
97C22×#67C2314yes—
98C22×#67C2314yes—
99C22×#67C2314yes—
100C23×Dic3C2314yes—
101C2×D3×D4—28no—
102C2×D3×D4—216no—
103C2×D3×D4—28no—
104C2×D3×D4—44no—
105C2×D3×D4—48no—
106C2×D3×D4—48no—
107C22×D12C2312yes—
108C22×D12C2314yes—
109C22×C4×D3C2312yes—
110C22×C4×D3C2311yescharacteristic
111C3×#127D418yescomplemented
112C3×#125—24no—
113C3×#123—216no—
114C3×#121—216no—
115C3×#121—28no—
116C3×C4×D4—28no—
117C3×#117—24no—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C22⋊C4C2314yes—
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C2×#217C2311yescharacteristic
127C2×#217C2312yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130C2×#217C2314yes—
131#940—28no—
132#940—216no—
133#939—48no—
134#937—48no—
135D4×Dic3—44no—
136#930—44no—
137#929—48no—
138C4×#67—24no—
139C2×(C2×D3)⋊C4—48no—
140C2×(C2×D3)⋊C4C2312yes—
141C2×(C2×D3)⋊C4C2311yescharacteristic
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2314yes—
145C2×(C2×D3)⋊C4C2314yes—
146C2×(C2×D3)⋊C4C2314yes—
147C2×(C2×D3)⋊C4C2314yes—
148C2×(C2×D3)⋊C4C2314yes—
149C2×(C2×D3)⋊C4C2314yes—
150C2×C4⋊Dic3C2312yes—
151C2×Dic3⋊C4C2312yes—
152C2×Dic3⋊C4C2311yescharacteristic
153C2×Dic3⋊C4C2314yes—
154C2×C4×Dic3C2311yescharacteristic
155C2×C4×Dic3C2311yescharacteristic
156C2×C4×Dic3C2311yescharacteristic
157C2×C4×Dic3C2312yes—
158#874—24no—
159C42×D3—24no—
160C3⋊#95C2312yes—
161C3⋊#95C2312yes—
162C3⋊#95C2312yes—
163C3⋊#95C2314yes—
164C3⋊#95C2312yes—
165C3⋊#95C2312yes—
166C3⋊#95C2314yes—
167C3⋊#95C2314yes—
168C23×D4—32no—
169C23×D4—34no—
170#540—28no—
171C2×#127—34no—
172C2×#127—32no—
173C2×#127—31no—
174C2×#127—68no—
175C2×#127C2×D311yescharacteristic
176C2×#125C2×D311yescharacteristic, complemented
177C2×#123—34no—
178C2×#123C2×D314yescomplemented
179C2×#121—34no—
180C2×#121—32no—
181C2×#121C2×D312yescomplemented
182C2×#121C2×D314yescomplemented
183C2×#120—34no—
184C2×C4×D4—31no—
185C2×C4×D4—32no—
186C2×C4×D4C2×D312yescomplemented
187C2×#117C2×D311yescharacteristic, complemented
188C22×C22⋊C4—34no—
189C22×C42—31no—
190#394—34no—
191#394—34no—
192#394—34no—
193#394—34no—
194#394—34no—
195#394—34no—
196#394—34no—
197#392—34no—
198#392—34no—
199#392—34no—
200#390—32no—
201#390—32no—
202#390—32no—
203#390—32no—
204#389—32no—
205#388—32no—
206#387—34no—
207#387—32no—
208#386—34no—
209#386—34no—
210#386—34no—
211#386—34no—
212#386—34no—
213#386—32no—
214#386—34no—
215#385—34no—
216#385—32no—
217#382—31no—
218#380—32no—
219#379—34no—
220#379—34no—
221C4×C4⋊C4—31no—
222C4×C22⋊C4—31no—
223C4×C22⋊C4—31no—
224#376—31no—
225C24×C3C2411yescharacteristic
226C24×C3C2414yes—
227C23×D3—28no—
228C23×D3—28no—
229C23×D3—28no—
230C23×D3—28no—
231C23×D3—44no—
232C23×D3—44no—
233C23×D3—44no—
234C23×D3C2414yes—
235C23×D3C2411yescharacteristic
236C2×C3×D4—28no—
237C2×C3×D4—24no—
238C2×C3×D4—24no—
239C2×C3×D4—44no—
240C2×C3×D4—44no—
241C2×C3×D4—44no—
242C2×C3×D4—44no—
243C2×C3×D4C2×D418yes—
244C2×C3×D4C2×D4116yes—
245C22×C3×C4—28no—
246C22×C3×C4—22no—
247C22×C3×C4—22no—
248C22×C3×C4—22no—
249C22×C3×C4—44no—
250C22×C3×C4—44no—
251C22×C3×C4C2412yes—
252C22×C3×C4C2411yescharacteristic
253C22×C3×C4C2414yes—
254C22×C3×C4C2412yes—
255C22×C3×C4C2411yescharacteristic
256C2×#67—28no—
257C2×#67—28no—
258C2×#67—28no—
259C2×#67—22no—
260C2×#67—24no—
261C2×#67—28no—
262C2×#67—28no—
263C2×#67—28no—
264C2×#67—44no—
265C2×#67—44no—
266C2×#67—44no—
267C2×#67—44no—
268C2×#67—44no—
269C2×#67—44no—
270C22×Dic3—44no—
271C22×Dic3—44no—
272C22×Dic3—44no—
273C22×Dic3C2411yescharacteristic
274C22×Dic3C2412yes—
275C22×Dic3C2414yes—
276C22×Dic3C2411yescharacteristic
277C22×Dic3C2411yescharacteristic
278C22×Dic3C2412yes—
279D3×D4—432no—
280D3×D4—464no—
281C2×D12—28no—
282C2×D12—24no—
283C2×D12—24no—
284C2×D12—24no—
285C2×D12—44no—
286C2×D12—44no—
287C2×C4×D3—24no—
288C2×C4×D3—24no—
289C2×C4×D3—22no—
290C2×C4×D3—22no—
291C2×C4×D3—24no—
292C2×C4×D3#4114yes—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—28no—
296C3×C22⋊C4—28no—
297C3×C22⋊C4—28no—
298C3×C22⋊C4—24no—
299C3×C42—22no—
300C3×C42C2×D414yes—
301#217—22no—
302#217—24no—
303#217—44no—
304#217—44no—
305#217—44no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—24no—
308(C2×D3)⋊C4—28no—
309(C2×D3)⋊C4—44no—
310(C2×D3)⋊C4—44no—
311(C2×D3)⋊C4—44no—
312(C2×D3)⋊C4—44no—
313(C2×D3)⋊C4—44no—
314(C2×D3)⋊C4—44no—
315(C2×D3)⋊C4—44no—
316C4⋊Dic3—24no—
317Dic3⋊C4—22no—
318Dic3⋊C4—24no—
319Dic3⋊C4—28no—
320C4×Dic3—24no—
321C4×Dic3—22no—
322C4×Dic3—22no—
323C4×Dic3—22no—
324C25—34no—
325C22×D4—31no—
326C22×D4—34no—
327C22×D4—34no—
328C22×D4—34no—
329C22×D4—34no—
330C22×D4—32no—
331C22×D4—34no—
332C22×D4—68no—
333C22×D4—68no—
334C22×D4—616no—
335C22×D4—124no—
336C22×D4—128no—
337C22×D4—128no—
338C22×D4C22×D312yes—
339C22×D4C22×D314yes—
340C22×D4C22×D314yes—
341C23×C4—31no—
342C23×C4—34no—
343C23×C4—32no—
344C23×C4C22×D311yescharacteristic
345C23×C4C22×D314yes—
346#127—68no—
347#127—616no—
348#127—64no—
349#127#6718yescomplemented
350#125—24no—
351#123—216no—
352#123—128no—
353#121—216no—
354#121—28no—
355#121—128no—
356#121—124no—
357#120—128no—
358C4×D4—28no—
359C4×D4—64no—
360C4×D4—124no—
361#117—24no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—31no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4C22×D312yes—
367C2×C4⋊C4C22×D312yes—
368C2×C4⋊C4C22×D314yes—
369C2×C22⋊C4—31no—
370C2×C22⋊C4—32no—
371C2×C22⋊C4—32no—
372C2×C22⋊C4—34no—
373C2×C22⋊C4—31no—
374C2×C22⋊C4—34no—
375C2×C22⋊C4—34no—
376C2×C22⋊C4—34no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—34no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—34no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—128no—
385C2×C22⋊C4C22×D312yes—
386C2×C22⋊C4C22×D314yes—
387C2×C22⋊C4C22×D314yes—
388C2×C42—31no—
389C2×C42—31no—
390C2×C42—31no—
391C2×C42—32no—
392C2×C42—64no—
393C2×C42C22×D311yescharacteristic
394C2×C42C22×D311yescharacteristic
395#95—32no—
396#95—32no—
397#95—32no—
398#95—32no—
399#95—32no—
400#95—34no—
401#95—34no—
402#95—34no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—24no—
406C23×C3—24no—
407C23×C3—24no—
408C23×C3—24no—
409C23×C3—21no—
410C23×C3—21no—
411C23×C3—22no—
412C23×C3—22no—
413C23×C3—21no—
414C23×C3C22×D418yes—
415C23×C3C2511yescharacteristic
416C22×D3—21no—
417C22×D3—21no—
418C22×D3—22no—
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—24no—
423C22×D3—24no—
424C22×D3—24no—
425C22×D3—24no—
426C22×D3—416no—
427C22×D3—416no—
428C22×D3—416no—
429C22×D3—416no—
430C22×D3—88no—
431C22×D3—88no—
432C22×D3—88no—
433C22×D3C2×#4112yes—
434C22×D3H(5,𝔽2)14yes—
435C3×D4—216no—
436C3×D4—416no—
437C3×D4—88no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—21no—
442C2×C3×C4—24no—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—24no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—21no—
449C2×C3×C4—44no—
450C2×C3×C4—88no—
451C2×C3×C4C22×D414yes—
452C2×C3×C4C22×D412yes—
453C2×C3×C4C2×#4112yes—
454C2×C3×C4H(5,𝔽2)12yes—
455#67—416no—
456#67—416no—
457#67—416no—
458#67—44no—
459#67—88no—
460C2×Dic3—21no—
461C2×Dic3—22no—
462C2×Dic3—21no—
463C2×Dic3—22no—
464C2×Dic3—21no—
465C2×Dic3—21no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—22no—
471C2×Dic3—24no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—88no—
475C2×Dic3C2×#4112yes—
476C2×Dic3H(5,𝔽2)14yes—
477D12—416no—
478D12—48no—
479C4×D3—216no—
480C4×D3—28no—
481C24—31no—
482C24—34no—
483C24—68no—
484C24—68no—
485C24—68no—
486C24—68no—
487C24—124no—
488C24—124no—
489C24—124no—
490C24C23×D311yescharacteristic
491C24C23×D314yes—
492C2×D4—28no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—44no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—44no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—68no—
502C2×D4—62no—
503C2×D4—64no—
504C2×D4—68no—
505C2×D4—68no—
506C2×D4—68no—
507C2×D4—64no—
508C2×D4—64no—
509C2×D4—68no—
510C2×D4—64no—
511C2×D4—124no—
512C2×D4—124no—
513C2×D4—1232no—
514C2×D4—1264no—
515C2×D4—124no—
516C2×D4—124no—
517C2×D4—124no—
518C2×D4—124no—
519C2×D4—124no—
520C2×D4—124no—
521C2×D4C2×#6718yes—
522C2×D4C2×#67116yes—
523C22×C4—28no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—31no—
528C22×C4—32no—
529C22×C4—34no—
530C22×C4—31no—
531C22×C4—32no—
532C22×C4—34no—
533C22×C4—31no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—64no—
537C22×C4—64no—
538C22×C4—62no—
539C22×C4—64no—
540C22×C4—62no—
541C22×C4—124no—
542C22×C4—124no—
543C22×C4—124no—
544C22×C4C23×D312yes—
545C22×C4C23×D311yescharacteristic
546C22×C4C23×D314yes—
547C22×C4C23×D312yes—
548C22×C4C23×D311yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—28no—
552C4⋊C4—62no—
553C4⋊C4—68no—
554C4⋊C4—64no—
555C4⋊C4—64no—
556C22⋊C4—28no—
557C22⋊C4—28no—
558C22⋊C4—24no—
559C22⋊C4—64no—
560C22⋊C4—68no—
561C22⋊C4—62no—
562C22⋊C4—62no—
563C22⋊C4—64no—
564C22⋊C4—124no—
565C22⋊C4—124no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4—124no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C22⋊C4—124no—
573C22⋊C4—124no—
574C42—22no—
575C42—62no—
576C42—62no—
577C42—64no—
578C42—62no—
579C42C2×#6714yes—
580C22×C3—28no—
581C22×C3—28no—
582C22×C3—28no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—42no—
590C22×C3—41no—
591C22×C3—42no—
592C22×C3C23×D411yescharacteristic
593C22×C3C22×#4111yescharacteristic
594C22×C3C2×H(5,𝔽2)11yescharacteristic
595C22×C3C2×H(5,𝔽2)12yes—
596C22×C3C2×H(5,𝔽2)12yes—
597C2×D3—22no—
598C2×D3—24no—
599C2×D3—22no—
600C2×D3—24no—
601C2×D3—44no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3—44no—
605C2×D3—44no—
606C2×D3—44no—
607C2×D3—44no—
608C2×D3—832no—
609C2×D3#54014yescomplemented
610C3×C4—24no—
611C3×C4—41no—
612C3×C4—42no—
613C3×C4—44no—
614C3×C4#54614yes—
615Dic3—22no—
616Dic3—24no—
617Dic3—41no—
618Dic3—41no—
619Dic3—42no—
620Dic3—44no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—24no—
625C23—24no—
626C23—24no—
627C23—21no—
628C23—21no—
629C23—22no—
630C23—22no—
631C23—21no—
632C23—32no—
633C23—34no—
634C23—61no—
635C23—62no—
636C23—61no—
637C23—64no—
638C23—64no—
639C23—64no—
640C23—64no—
641C23—64no—
642C23—64no—
643C23—64no—
644C23—1216no—
645C23—1216no—
646C23—1216no—
647C23—1216no—
648C23—248no—
649C23—248no—
650C23—248no—
651C23C22×#6718yes—
652C23C24×D311yescharacteristic
653D4—216no—
654D4—416no—
655D4—88no—
656D4—1216no—
657D4—1216no—
658D4—1216no—
659D4—1216no—
660D4—124no—
661D4—128no—
662D4—248no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—24no—
674C2×C4—32no—
675C2×C4—34no—
676C2×C4—44no—
677C2×C4—616no—
678C2×C4—61no—
679C2×C4—62no—
680C2×C4—61no—
681C2×C4—62no—
682C2×C4—68no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—64no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—64no—
690C2×C4—62no—
691C2×C4—62no—
692C2×C4—64no—
693C2×C4—88no—
694C2×C4—248no—
695C2×C4D3×#4112yes—
696C2×C4#100912yes—
697C2×C4C22×#6714yes—
698C2×C4C22×#6712yes—
699C2×C3—48no—
700C2×C3—81no—
701C2×C3C2×#54011yescharacteristic
702C2×C3C2×#54611yescharacteristic
703C2×C3#348412yes—
704C2×C3#350811yescharacteristic
705C2×C3#354312yes—
706D3—24no—
707D3—84no—
708C22—28no—
709C22—28no—
710C22—28no—
711C22—34no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—41no—
720C22—42no—
721C22—62no—
722C22—64no—
723C22—62no—
724C22—64no—
725C22—124no—
726C22—124no—
727C22—124no—
728C22—124no—
729C22—124no—
730C22—124no—
731C22—124no—
732C22—2432no—
733C22C2×D3×#4111yescharacteristic
734C22C2×#100911yescharacteristic
735C22D3×H(5,𝔽2)12yes—
736C22D3×H(5,𝔽2)12yes—
737C22C23×#6711yescharacteristic
738C4—24no—
739C4—41no—
740C4—42no—
741C4—44no—
742C4—62no—
743C4—64no—
744C4—121no—
745C4—121no—
746C4—122no—
747C4—124no—
748C4#582914yes—
749C3#3769411yescharacteristic, complemented, Sylow
750C2—48no—
751C2—64no—
752C2—81no—
753C2—244no—
754C2D3×#54011yescharacteristic
755C2#8648611yescharacteristic
756C2#8649312yes—
757C2C2×#582911yescharacteristic
758C2#8728412yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#540C2
hypercenterC2×#540D3
hypocenterC3#37694
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×C3×#540C2semidirect
2. C2×D3×#127C2semidirect
3. #83172C2semidirect
4. #83072C2semidirect
5. #83067C2semidirect
6. #82893C2semidirect
7. #82884C2semidirect
8. #82702C2semidirect
9. #82683C2semidirect
10. #82649C2semidirect
11. #82640C2semidirect
12. D4×(C2×D3)⋊C4C2semidirect
13. #82358C2semidirect
14. #82286C2semidirect
15. #82268C2semidirect
21. C2×C3×#125C22semidirect
22. C2×C3×#123C22semidirect
23. C2×C3×#121C22semidirect
24. C2×C3×#121C22semidirect
25. C2×C3×C4×D4C22semidirect
26. C2×C3×#117C22semidirect
29. C2×#939C22semidirect
31. C2×D4×Dic3C22semidirect
32. C2×#930C22semidirect
33. C2×#929C22semidirect
39. #5223C22semidirect
40. #5223C22semidirect
41. #5221C22semidirect
42. #5220C22semidirect
43. #5220C22semidirect
44. #5213C22semidirect
45. #5213C22semidirect
46. C4×#217C22semidirect
47. #4991C22semidirect
48. #4991C22semidirect
49. #4991C22semidirect
52. #4988C22semidirect
53. #4988C22semidirect
55. #4978C22semidirect
56. #4978C22semidirect
57. #4972C22semidirect
58. #4960C22semidirect
59. #4959C22semidirect
60. #4959C22semidirect
61. #4959C22semidirect
62. #4959C22semidirect
63. #4958C22semidirect
64. #4958C22semidirect
68. #4944C22semidirect
69. #4939C22semidirect
71. #4936C22semidirect
72. #4932C22semidirect
73. C4×Dic3⋊C4C22semidirect
74. C2×#540D3semidirect
111. C3×#127D4semidirect
176. C2×#125C2×D3semidirect
178. C2×#123C2×D3semidirect
181. C2×#121C2×D3semidirect
182. C2×#121C2×D3semidirect
186. C2×C4×D4C2×D3semidirect
187. C2×#117C2×D3semidirect
349. #127#67semidirect
609. C2×D3#540semidirect
749. C3#37694semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5402
C2×D3×#1272
#831722
#830722
#830672
#828932
#828842
#827022
#826832
#826492
#826402
D4×(C2×D3)⋊C42
#823582
#822862
#822682
#376943