Finite Group Databasebeta

← #10973010

Subgroups — #10973010

Order 768.

3398 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#537C211yesmaximal, characteristic, complemented
2C2×#5830C211yesmaximal, characteristic, complemented
3C2×#5830C211yesmaximal, characteristic, complemented
4C2×Dic3×#41C211yesmaximal, characteristic, complemented
5#84086C211yesmaximal, characteristic, complemented
6#82821C212yesmaximal, complemented
7#82809C212yesmaximal, complemented
8#82755C214yesmaximal, complemented
9#82706C218yesmaximal, complemented
10#82700C212yesmaximal, complemented
11#82676C212yesmaximal, complemented
12#82649C214yesmaximal, complemented
13#82157C211yesmaximal, characteristic, complemented
14C2×#4988C211yesmaximal, characteristic, complemented
15#35256—31nomaximal, Sylow
16C22×C3×#41C2211yescharacteristic
17C22×C3×#41C2211yescharacteristic
18C23×D12C2211yescharacteristic
19C3×#537—28no—
20C2×C3×C22⋊Q8C2212yescomplemented
21C2×C3×C22⋊Q8C2212yescomplemented
22C2×C3×#121C2214yes—
23C2×C3×#121C2212yescomplemented
24C2×C3×#121C2212yescomplemented
25C22×C3×C4⋊C4C2211yescharacteristic
26#5830—28no—
27#5830—28no—
28Dic3×#41—28no—
29C2×#947C2212yes—
30C2×#947C2212yes—
31C2×Q8×Dic3C2212yescomplemented
32C2×#940C2212yes—
33C2×#940C2212yes—
34C2×#939C2218yescomplemented
35C2×#937C2214yes—
36C2×#937C2214yes—
37C2×D4×Dic3C2214yes—
38C2×D4×Dic3C2212yescomplemented
39C2×#930C2212yes—
40C2×#930C2214yes—
41C2×#930C2212yes—
42C22×(C2×D3)⋊C4C2214yes—
43C2×#926C2211yescharacteristic
44C2×#926C2211yescharacteristic
45C2×#926C2212yescomplemented
46C22×C4×Dic3C2211yescharacteristic
47C22×C4×Dic3C2212yescomplemented
48#5229C2211yescharacteristic, complemented
49#5229C2211yescharacteristic, complemented
50#5223C2218yescomplemented
51#5221C2211yescharacteristic, complemented
52#5221C2211yescharacteristic, complemented
53#5220C2214yes—
54#5210C2214yes—
55C4×#217C2214yescomplemented
56#4994C2218yescomplemented
57#4990C2218yescomplemented
58#4988C2212yes—
59#4988C2214yes—
60#4988C2212yes—
61#4977C2212yescomplemented
62#4975C2212yescomplemented
63#4972C2214yescomplemented
64#4961C2218yescomplemented
65#4959C2218yescomplemented
66#4958C2218yescomplemented
67#4957C2218yescomplemented
68C2×#537D311yescharacteristic, complemented
69C2×#535—31no—
70C2×#535—31no—
71C2×C4×#41—31no—
72#2856—32no—
73#2850—32no—
74#2620—32no—
75#2619—32no—
76#2428—34no—
77#2426—34no—
78#2424—38no—
79#2317—31no—
80#2297—31no—
81C2×#390—31no—
82C24×D3C2312yes—
83C2×C3×#41—24no—
84C2×C3×#41—24no—
85C2×C3×#41—24no—
86C2×C3×#41—24no—
87C2×C3×#41—24no—
88C2×C3×#41D418yescomplemented
89C22×C3×Q8C2311yescharacteristic
90C22×C3×Q8C2311yescharacteristic
91C22×C3×D4C2312yes—
92C22×C3×D4C2311yescharacteristic
93C22×C3×D4C2312yes—
94C22×C3×D4C2311yescharacteristic
95C22×C3×D4C2314yes—
96C23×C3×C4C2312yes—
97C23×C3×C4C2312yes—
98C23×C3×C4C2312yes—
99C23×C3×C4C2311yescharacteristic
100C22×#67C2318yes—
101C22×#67C2314yes—
102C22×#67C2314yes—
103C23×Dic3C2314yes—
104C23×Dic3C2312yes—
105C22×D12—24no—
106C22×D12—24no—
107C22×D12—24no—
108C22×D12C2312yes—
109C22×D12C2312yes—
110C3×C22⋊Q8—28no—
111C3×C22⋊Q8—28no—
112C3×#121—216no—
113C3×#121—28no—
114C3×#121—28no—
115C2×C3×C4⋊C4—24no—
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2314yes—
119C2×C3×C22⋊C4C2314yes—
120C2×C3×C22⋊C4C2314yes—
121C2×#217C2314yes—
122C2×#217C2312yes—
123C2×#217C2314yes—
124C2×#217C2314yes—
125C2×#217C2312yes—
126#947—28no—
127#947—28no—
128Q8×Dic3—28no—
129#940—28no—
130#940—28no—
131#939—416no—
132#937—216no—
133#937—216no—
134D4×Dic3—216no—
135D4×Dic3—28no—
136#930—28no—
137#930—28no—
138#930—216no—
139C2×(C2×D3)⋊C4—48no—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2318yes—
142C2×(C2×D3)⋊C4C2318yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2318yes—
145#926—24no—
146#926—28no—
147#926D418yescomplemented
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2311yescharacteristic
150C2×C4⋊Dic3C2311yescharacteristic
151C2×C4⋊Dic3C2312yes—
152C2×Dic3⋊C4C2318yes—
153C2×C4×Dic3—24no—
154C2×C4×Dic3—28no—
155C2×C4×Dic3C2312yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2314yes—
158C2×C4×Dic3C2311yescharacteristic
159C2×C4×Dic3C2311yescharacteristic
160C2×C4×Dic3C2312yes—
161C3⋊#95C2314yes—
162C3⋊#95C2314yes—
163C3⋊#95C2318yes—
164C22×#41C2×D311yescharacteristic
165C22×#41C2×D311yescharacteristic
166C23×D4—31no—
167#537—28no—
168#535—68no—
169#535—68no—
170C2×#127—32no—
171C2×#127—32no—
172C2×#124—32no—
173C2×#124—32no—
174C2×C22⋊Q8C2×D312yescomplemented
175C2×C22⋊Q8C2×D312yescomplemented
176C2×#121—32no—
177C2×#121—32no—
178C2×#121—34no—
179C2×#121—38no—
180C2×#121C2×D314yes—
181C2×#121C2×D312yescomplemented
182C2×#121C2×D312yescomplemented
183C2×#120—34no—
184C2×#120—34no—
185C4×#41—68no—
186C2×C4×Q8—32no—
187C2×C4×D4—34no—
188C2×C4×D4—32no—
189C2×#117—31no—
190C2×#117—31no—
191C2×#117—32no—
192C22×C4⋊C4C2×D311yescharacteristic
193C22×C22⋊C4—34no—
194C22×C42—32no—
195C22×C42—31no—
196#396—38no—
197#394—38no—
198#394—38no—
199#392—38no—
200#391—31no—
201#391—31no—
202#390—31no—
203#390—31no—
204#390—32no—
205#390—32no—
206#390—34no—
207#390—38no—
208#389—34no—
209#388—38no—
210#386—34no—
211#386—38no—
212#385—34no—
213#384—32no—
214#382—32no—
215C4×C22⋊C4—34no—
216C24×C3C2412yes—
217C24×C3C2412yes—
218C24×C3C2411yescharacteristic
219C23×D3—24no—
220C23×D3—24no—
221C23×D3—24no—
222C23×D3—44no—
223C23×D3—44no—
224C23×D3C2414yes—
225C3×#41—232no—
226C3×#41—416no—
227C2×C3×Q8—22no—
228C2×C3×Q8—22no—
229C2×C3×Q8—22no—
230C2×C3×Q8—22no—
231C2×C3×Q8—22no—
232C2×C3×Q8C2×D414yes—
233C2×C3×D4—24no—
234C2×C3×D4—24no—
235C2×C3×D4—24no—
236C2×C3×D4—24no—
237C2×C3×D4—24no—
238C2×C3×D4—28no—
239C2×C3×D4—22no—
240C2×C3×D4—22no—
241C2×C3×D4—22no—
242C2×C3×D4—22no—
243C2×C3×D4—22no—
244C2×C3×D4—48no—
245C2×C3×D4C2×D418yes—
246C2×C3×D4C2×D414yes—
247C22×C3×C4—24no—
248C22×C3×C4—24no—
249C22×C3×C4—24no—
250C22×C3×C4—24no—
251C22×C3×C4—24no—
252C22×C3×C4—24no—
253C22×C3×C4—44no—
254C22×C3×C4C2×D414yes—
255C22×C3×C4C2×D418yes—
256C22×C3×C4C2×D414yes—
257C22×C3×C4#4114yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2414yes—
260C22×C3×C4C2412yes—
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C2×#67—28no—
264C2×#67—28no—
265C2×#67—216no—
266C2×#67—48no—
267C2×#67—48no—
268C2×#67—48no—
269C2×#67—48no—
270C22×Dic3—24no—
271C22×Dic3—28no—
272C22×Dic3—24no—
273C22×Dic3—28no—
274C22×Dic3—44no—
275C22×Dic3—42no—
276C22×Dic3C2412yes—
277C22×Dic3C2412yes—
278C22×Dic3C2412yes—
279C22×Dic3C2414yes—
280C22×Dic3C2412yes—
281C2×D12—24no—
282C2×D12—24no—
283C2×D12—24no—
284C2×D12—24no—
285C2×D12—24no—
286C2×D12—24no—
287C2×D12—416no—
288C3×C4⋊C4—24no—
289C3×C4⋊C4—24no—
290C3×C4⋊C4—28no—
291C3×C22⋊C4—28no—
292C3×C22⋊C4—28no—
293#217—24no—
294#217—28no—
295#217—28no—
296#217—44no—
297#217C2×D418yes—
298(C2×D3)⋊C4—28no—
299(C2×D3)⋊C4—28no—
300(C2×D3)⋊C4—216no—
301(C2×D3)⋊C4—216no—
302(C2×D3)⋊C4—48no—
303C4⋊Dic3—22no—
304C4⋊Dic3—22no—
305C4⋊Dic3—28no—
306C4⋊Dic3C2×D418yes—
307Dic3⋊C4—48no—
308C4×Dic3—22no—
309C4×Dic3—22no—
310C4×Dic3—24no—
311C4×Dic3—24no—
312C4×Dic3—28no—
313C4×Dic3C2×D418yes—
314C25—32no—
315C2×#41—24no—
316C2×#41—24no—
317C2×#41—24no—
318C2×#41—24no—
319C2×#41—24no—
320C2×#41#6718yescomplemented
321C22×Q8C22×D311yescharacteristic
322C22×Q8C22×D311yescharacteristic
323C22×D4—34no—
324C22×D4—38no—
325C22×D4—34no—
326C22×D4—32no—
327C22×D4—32no—
328C22×D4—64no—
329C22×D4—64no—
330C22×D4—64no—
331C22×D4C22×D312yes—
332C22×D4C22×D311yescharacteristic
333C22×D4C22×D312yes—
334C22×D4C22×D311yescharacteristic
335C22×D4C22×D314yes—
336C23×C4—32no—
337C23×C4—34no—
338C23×C4C22×D312yes—
339C23×C4C22×D312yes—
340C23×C4C22×D312yes—
341C23×C4C22×D311yescharacteristic
342#127—68no—
343#127—68no—
344#124—68no—
345#124—68no—
346C22⋊Q8—28no—
347C22⋊Q8—28no—
348#121—216no—
349#121—28no—
350#121—28no—
351#121—616no—
352#121—68no—
353#121—68no—
354#121—1216no—
355#120—616no—
356#120—616no—
357C4×Q8—68no—
358C4×D4—616no—
359C4×D4—68no—
360#117—38no—
361#117—68no—
362#117—64no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4—34no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—38no—
369C2×C4⋊C4C22×D312yes—
370C2×C4⋊C4C22×D312yes—
371C2×C4⋊C4C22×D314yes—
372C2×C22⋊C4—32no—
373C2×C22⋊C4—34no—
374C2×C22⋊C4—32no—
375C2×C22⋊C4—34no—
376C2×C22⋊C4—38no—
377C2×C22⋊C4—38no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—34no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—38no—
382C2×C22⋊C4—128no—
383C2×C22⋊C4C22×D314yes—
384C2×C22⋊C4C22×D314yes—
385C2×C42—32no—
386C2×C42—31no—
387C2×C42—32no—
388C2×C42—32no—
389C2×C42—34no—
390C2×C42—31no—
391C2×C42—68no—
392C2×C42—64no—
393#95—34no—
394#95—34no—
395#95—38no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—22no—
403C23×C3—22no—
404C23×C3—22no—
405C23×C3—24no—
406C23×C3—24no—
407C23×C3C22×D412yes—
408C23×C3C22×D414yes—
409C23×C3C22×D412yes—
410C23×C3C2×#4112yes—
411C23×C3C2511yescharacteristic
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3—28no—
416C22×D3—28no—
417C22×D3—416no—
418C22×D3—48no—
419C22×D3—88no—
420C22×D3—84no—
421C22×D3—84no—
422C3×Q8—28no—
423C3×Q8—44no—
424C3×D4—216no—
425C3×D4—28no—
426C3×D4—48no—
427C3×D4—44no—
428C3×D4—88no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—216no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—28no—
437C2×C3×C4—48no—
438C2×C3×C4—84no—
439C2×C3×C4#121116yescomplemented
440C2×C3×C4C22×D412yes—
441C2×C3×C4C22×D412yes—
442C2×C3×C4C22×D414yes—
443C2×C3×C4C22×D412yes—
444C2×C3×C4C22×D412yes—
445C2×C3×C4C2×#4112yes—
446C2×C3×C4C2×#4112yes—
447#67—816no—
448#67—88no—
449#67—88no—
450C2×Dic3—22no—
451C2×Dic3—24no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—24no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—24no—
461C2×Dic3—416no—
462C2×Dic3—48no—
463C2×Dic3C22×D418yes—
464C2×Dic3H(5,𝔽2)14yes—
465D12—48no—
466D12—48no—
467C24—34no—
468C24—64no—
469C24—64no—
470C24—64no—
471C24—124no—
472C24—124no—
473C24C23×D312yes—
474C24C23×D312yes—
475C24C23×D311yescharacteristic
476#41—232no—
477#41—416no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8C2×#6714yes—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—28no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—48no—
496C2×D4—616no—
497C2×D4—68no—
498C2×D4—68no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—64no—
504C2×D4—64no—
505C2×D4—128no—
506C2×D4—128no—
507C2×D4—128no—
508C2×D4—128no—
509C2×D4—1216no—
510C2×D4C2×#6718yes—
511C2×D4C2×#6714yes—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—32no—
519C22×C4—34no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—32no—
523C22×C4—44no—
524C22×C4—68no—
525C22×C4—64no—
526C22×C4—68no—
527C22×C4—64no—
528C22×C4—124no—
529C22×C4—122no—
530C22×C4D3×D414yes—
531C22×C4#23714yes—
532C22×C4C2×#6718yes—
533C22×C4C2×#6714yes—
534C22×C4C23×D312yes—
535C22×C4C23×D314yes—
536C22×C4C23×D312yes—
537C22×C4C23×D311yescharacteristic
538C22×C4C23×D311yescharacteristic
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—38no—
543C4⋊C4—68no—
544C4⋊C4—62no—
545C4⋊C4—62no—
546C4⋊C4—128no—
547C22⋊C4—28no—
548C22⋊C4—28no—
549C22⋊C4—38no—
550C22⋊C4—616no—
551C22⋊C4—616no—
552C22⋊C4—68no—
553C22⋊C4—68no—
554C22⋊C4—64no—
555C22⋊C4—68no—
556C22⋊C4—68no—
557C22⋊C4—128no—
558C22⋊C4—124no—
559C42—38no—
560C42—68no—
561C42—62no—
562C42—62no—
563C42—64no—
564C42—64no—
565C22×C3—24no—
566C22×C3—24no—
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—44no—
573C22×C3—44no—
574C22×C3—42no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—42no—
578C22×C3—42no—
579C22×C3C2×#12114yes—
580C22×C3C23×D411yescharacteristic
581C22×C3C23×D411yescharacteristic
582C22×C3C22×#4111yescharacteristic
583C22×C3C2×H(5,𝔽2)12yes—
584C22×C3#58512yes—
585C2×D3—44no—
586C2×D3—48no—
587C2×D3—48no—
588C2×D3—44no—
589C2×D3—44no—
590C2×D3—816no—
591C3×C4—24no—
592C3×C4—42no—
593C3×C4—44no—
594C3×C4C2×#12114yes—
595C3×C4C2×#12114yes—
596Dic3—24no—
597Dic3—28no—
598Dic3—42no—
599Dic3—42no—
600Dic3—42no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—24no—
607C23—22no—
608C23—22no—
609C23—24no—
610C23—24no—
611C23—22no—
612C23—64no—
613C23—64no—
614C23—68no—
615C23—68no—
616C23—64no—
617C23—1216no—
618C23—128no—
619C23—248no—
620C23—244no—
621C23—244no—
622C23C2×D3×D412yes—
623C23C2×#23712yes—
624C23C22×#6714yes—
625C23C22×#6712yes—
626C23C24×D311yescharacteristic
627Q8—28no—
628Q8—44no—
629D4—216no—
630D4—28no—
631D4—48no—
632D4—44no—
633D4—88no—
634D4—128no—
635D4—128no—
636D4—2416no—
637D4—248no—
638D4—248no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—216no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—38no—
648C2×C4—34no—
649C2×C4—48no—
650C2×C4—62no—
651C2×C4—64no—
652C2×C4—62no—
653C2×C4—64no—
654C2×C4—62no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—84no—
662C2×C4—1216no—
663C2×C4—128no—
664C2×C4#939116yescomplemented
665C2×C4C2×D3×D412yes—
666C2×C4C2×D3×D412yes—
667C2×C4C2×#23712yes—
668C2×C4C2×#23712yes—
669C2×C4C22×#6714yes—
670C2×C4C22×#6712yes—
671C2×C4C22×#6712yes—
672C2×C3—24no—
673C2×C3—44no—
674C2×C3—82no—
675C2×C3C22×#12111yescharacteristic
676C2×C3#346012yes—
677C2×C3#348812yes—
678C2×C3#349811yescharacteristic
679C2×C3#350011yescharacteristic
680D3—84no—
681C22—24no—
682C22—24no—
683C22—22no—
684C22—22no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—128no—
696C22—128no—
697C22—124no—
698C22—124no—
699C22—124no—
700C22—2416no—
701C22C2×#93914yes—
702C22C22×D3×D411yescharacteristic
703C22C22×#23711yescharacteristic
704C22D3×H(5,𝔽2)12yes—
705C22#596812yes—
706C22C23×#6711yescharacteristic
707C4—24no—
708C4—42no—
709C4—44no—
710C4—64no—
711C4—68no—
712C4—122no—
713C4—122no—
714C4—122no—
715C4C2×#93914yes—
716C4C2×#93914yes—
717C3#3525611yescharacteristic, complemented, Sylow
718C2—24no—
719C2—44no—
720C2—82no—
721C2—244no—
722C2#8636412yes—
723C2#8637912yes—
724C2C22×#93911yescharacteristic
725C2#8728211yescharacteristic
726C2#8729311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#537C2
hypercenterC2×#537D3
hypocenterC3#35256
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#537

Complements

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

NH ≅ G/Ntype
1. C2×C3×#537C2semidirect
2. C2×#5830C2semidirect
3. C2×#5830C2semidirect
4. C2×Dic3×#41C2semidirect
5. #84086C2semidirect
6. #82821C2semidirect
7. #82809C2semidirect
8. #82755C2semidirect
9. #82706C2semidirect
10. #82700C2semidirect
11. #82676C2semidirect
12. #82649C2semidirect
13. #82157C2semidirect
14. C2×#4988C2semidirect
20. C2×C3×C22⋊Q8C22semidirect
21. C2×C3×C22⋊Q8C22semidirect
23. C2×C3×#121C22semidirect
24. C2×C3×#121C22semidirect
31. C2×Q8×Dic3C22semidirect
34. C2×#939C22semidirect
38. C2×D4×Dic3C22semidirect
45. C2×#926C22semidirect
47. C22×C4×Dic3C22semidirect
48. #5229C22semidirect
49. #5229C22semidirect
50. #5223C22semidirect
51. #5221C22semidirect
52. #5221C22semidirect
55. C4×#217C22semidirect
56. #4994C22semidirect
57. #4990C22semidirect
61. #4977C22semidirect
62. #4975C22semidirect
63. #4972C22semidirect
64. #4961C22semidirect
65. #4959C22semidirect
66. #4958C22semidirect
67. #4957C22semidirect
68. C2×#537D3semidirect
88. C2×C3×#41D4semidirect
147. #926D4semidirect
174. C2×C22⋊Q8C2×D3semidirect
175. C2×C22⋊Q8C2×D3semidirect
181. C2×#121C2×D3semidirect
182. C2×#121C2×D3semidirect
320. C2×#41#67semidirect
439. C2×C3×C4#121semidirect
664. C2×C4#939semidirect
717. C3#35256semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5372
C2×#58302
C2×Dic3×#412
#840862
#828212
#828092
#827552
#827062
#827002
#826762
#826492
#821572
C2×#49882
#352563