Finite Group Databasebeta

← D3×#5510 #11901142

Subgroups — D3×#5510 #11901142

Order 1152.

3427 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#235C212yesmaximal, complemented
2#10595981C211yesmaximal, characteristic, complemented
3C3×#5510C211yesmaximal, characteristic, complemented
4C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
5D3×#930C214yesmaximal, complemented
6#10595043C212yesmaximal, complemented
7#10594911C214yesmaximal, complemented
8D3×#897C214yesmaximal, complemented
9D3×#895C214yesmaximal, complemented
10#10594523C214yesmaximal, complemented
11#10594522C214yesmaximal, complemented
12D3×#537—31nomaximal
13C2×#5510—31nomaximal
14C2×#3828C2212yescomplemented
15C2×C3×#235C2212yescomplemented
16C22×C3×C4×D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C2×D3×#67C2214yes—
19C2×#3804C2214yescomplemented
20D3×#235—216no—
21C2×D3×D12C2212yes—
22C2×D3×D12C2214yes—
23C2×C4×D32C2214yes—
24C2×#3799C2212yescomplemented
25C2×#3798C2214yescomplemented
26C2×#3795C2212yescomplemented
27C2×D3×Dic6C2212yes—
28C2×C32×C4⋊C4C2211yescharacteristic, complemented
29#64139C2214yescomplemented
30#64106C2214yescomplemented
31#64104C2214yescomplemented
32C3×#930C2214yescomplemented
33C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
34C2×C3×Dic3⋊C4C2212yescomplemented
35C3×#897C2214yescomplemented
36C3×#895C2214yescomplemented
37C3×D3×C4⋊C4C2214yes—
38C3×D3×C4⋊C4C2214yescomplemented
39#63978C2218yescomplemented
40D3×(C2×D3)⋊C4C2218yes—
41#63916C2214yescomplemented
42#63910C2218yescomplemented
43#63909C2214yescomplemented
44#63909C2214yescomplemented
45#63908C2214yescomplemented
46#63906C2218yescomplemented
47#63895C2218yescomplemented
48#63893C2218yescomplemented
49D3×C4⋊Dic3C2214yes—
50#63886C2218yescomplemented
51#63871C2214yescomplemented
52#63857C2214yescomplemented
53C2×D3×#41—32no—
54C22×#235—32no—
55C3×#537—31no—
56C22×C3×C4⋊C4—31no—
57#5833—32no—
58C2×#930—34no—
59#5629—34no—
60D3×C22⋊Q8—34no—
61#5608—34no—
62D3×#121—34no—
63D3×#121—34no—
64#5597—34no—
65#5510—32no—
66#5510—31no—
67#5510—31no—
68#5510—34no—
69#5510—34no—
70#5510—34no—
71#5510—61no—
72#5510D311yescharacteristic, direct product factor
73C2×#897—34no—
74C2×#895—34no—
75C2×D3×C4⋊C4D311yescharacteristic, complemented
76C23×C3×D3C2311yescharacteristic
77C22×D32C2314yes—
78C22×C32×C4C2312yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638C2314yes—
81#3828—28no—
82C2×C4⋊(C3⋊D3)C2312yes—
83C2×C4⋊(C3⋊D3)C2314yes—
84C2×C4×C3⋊D3C2314yes—
85C2×#634C2312yes—
86C2×C3×#67C2314yes—
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C3×#235—28no—
90C2×C3×D12C2312yes—
91C2×C3×D12C2314yes—
92C2×C3×C4×D3—44no—
93C2×C3×C4×D3D418yescomplemented
94C2×C3×C4×D3C2314yes—
95C2×C3×C4×D3C2314yes—
96C2×C3×C4×D3C2314yes—
97C2×C3×C4×D3C2312yes—
98C2×C3×C4×D3C2312yes—
99C2×C3×Dic6C2312yes—
100D3×#67—216no—
101C2×#627C2314yes—
102C2×#626C2314yes—
103C2×#626C2314yes—
104C2×#626C2318yes—
105C2×#625C2314yes—
106C2×#624C2314yes—
107#3804—216no—
108C2×D3×Dic3C2314yes—
109C2×D3×Dic3C2314yes—
110D3×D12—28no—
111D3×D12—48no—
112C4×D32—216no—
113#3799—28no—
114#3798—216no—
115#3795—28no—
116D3×Dic6—28no—
117C32×C4⋊C4C2314yes—
118#3752C2318yes—
119C4⋊(C3⋊Dic3)C2314yes—
120C3×(C2×D3)⋊C4C2318yes—
121C3×C4⋊Dic3C2314yes—
122C3×C4⋊Dic3C2314yes—
123C3×Dic3⋊C4C2318yes—
124Dic3⋊Dic3C2318yes—
125#3722C2318yes—
126(C2×D3)⋊Dic3C2318yes—
127C2×#537—91noSylow
128C2×C3×#41—32no—
129C23×C3×C4—31no—
130C23×C3×C4—32no—
131C22×#67—34no—
132D3×#41—616no—
133C2×#239—32no—
134C2×D3×Q8—32no—
135C2×#237—34no—
136C2×#237—32no—
137C2×D3×D4—34no—
138C2×D3×D4—32no—
139C2×D3×D4—34no—
140C2×#235—32no—
141C2×#235—32no—
142C2×#235—34no—
143C2×#235—32no—
144C2×#235—34no—
145C2×#235—34no—
146C2×#235—32no—
147C2×#235—62no—
148C2×#235—616no—
149C2×#235C2×D312yescomplemented
150C22×D12—32no—
151C22×D12—34no—
152C22×C4×D3—34no—
153C22×C4×D3—34no—
154C22×C4×D3C2×D312yes—
155C22×C4×D3C2×D311yescharacteristic
156C22×Dic6—32no—
157C3×C22⋊Q8—34no—
158C3×#121—34no—
159C3×#121—34no—
160C2×C3×C4⋊C4—21no—
161C2×C3×C4⋊C4—32no—
162C2×C3×C4⋊C4—31no—
163C2×C3×C4⋊C4—34no—
164C2×C3×C4⋊C4—34no—
165C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
166C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
167#946—34no—
168#939—38no—
169#939—38no—
170#938—34no—
171#938—34no—
172#930—34no—
173#930—34no—
174#930—38no—
175#930—34no—
176#930—38no—
177#930—34no—
178#930—34no—
179#930—64no—
180#930C2×D314yescomplemented
181C2×(C2×D3)⋊C4—38no—
182C2×C4⋊Dic3—34no—
183C2×C4⋊Dic3C2×D311yescharacteristic, complemented
184#924—34no—
185C2×Dic3⋊C4C2×D312yescomplemented
186#897—34no—
187#897—34no—
188#897—34no—
189#897—34no—
190#897—38no—
191#897—38no—
192#897—64no—
193#897C2×D314yescomplemented
194#896—38no—
195#895—38no—
196#895—34no—
197#895—34no—
198#895—34no—
199#895—34no—
200#895—34no—
201#895—38no—
202#895—64no—
203#895C2×D314yescomplemented
204D3×C4⋊C4—34no—
205D3×C4⋊C4C2×D314yes—
206D3×C4⋊C4C2×D314yescomplemented
207#884—38no—
208#884—38no—
209D3×C22⋊C4—38no—
210#878—38no—
211C23×C32C2411yescharacteristic
212C22×C3⋊D3C2414yes—
213C22×C3×D3—22no—
214C22×C3×D3—22no—
215C22×C3×D3C2×D414yes—
216C22×C3×D3C2414yes—
217C22×C3×D3C2411yescharacteristic
218C22×C3×D3C2411yescharacteristic
219C2×D32—28no—
220C2×D32—28no—
221C2×D32—28no—
222C2×C32×C4—42no—
223C2×C32×C4C2×D414yescomplemented
224C2×C32×C4C2414yes—
225C2×C32×C4C2412yes—
226#638—28no—
227C2×C3⋊Dic3C2414yes—
228C4⋊(C3⋊D3)—24no—
229C4⋊(C3⋊D3)—44no—
230C4×C3⋊D3—28no—
231#634—24no—
232C3×#67—28no—
233C2×C3×Dic3—42no—
234C2×C3×Dic3C2×D414yescomplemented
235C2×C3×Dic3C2414yes—
236C2×C3×Dic3C2414yes—
237C2×C3×Dic3C2412yes—
238C3×D12—24no—
239C3×D12—44no—
240C3×C4×D3—28no—
241C3×C4×D3—28no—
242C3×C4×D3—44no—
243C3×C4×D3C2×D418yes—
244C3×C4×D3C2×D418yescomplemented
245C3×Dic6—24no—
246#627—28no—
247#626—28no—
248#626—28no—
249#626—48no—
250#625—28no—
251#624—28no—
252D3×Dic3—28no—
253D3×Dic3—28no—
254C22×#41—92no—
255#537—31no—
256#537—94no—
257#537—94no—
258#537—94no—
259#537—92no—
260#537—91no—
261C2×C22⋊Q8—94no—
262C2×#121—94no—
263C2×#121—94no—
264C22×C4⋊C4—31no—
265C24×C3—31no—
266C23×D3—34no—
267C23×D3—34no—
268C23×D3C22×D311yescharacteristic
269C3×#41—68no—
270C2×C3×Q8—32no—
271C2×C3×D4—34no—
272C2×C3×D4—32no—
273C2×C3×D4—34no—
274C22×C3×C4—21no—
275C22×C3×C4—22no—
276C22×C3×C4—31no—
277C22×C3×C4—38no—
278C22×C3×C4—32no—
279C22×C3×C4—32no—
280C22×C3×C4—32no—
281C22×C3×C4—34no—
282C22×C3×C4—34no—
283C22×C3×C4—34no—
284C22×C3×C4—124no—
285C22×C3×C4C22×D312yes—
286C22×C3×C4C22×D312yes—
287C22×C3×C4C22×D311yescharacteristic
288C22×C3×C4C22×D311yescharacteristic
289C2×#67—34no—
290C2×#67—34no—
291C2×#67—34no—
292C2×#67—34no—
293C2×#67—34no—
294C2×#67—34no—
295C2×#67—38no—
296C2×#67—64no—
297C2×#67—616no—
298C2×#67C22×D314yes—
299C22×Dic3—34no—
300C22×Dic3—34no—
301C22×Dic3C22×D312yes—
302C22×Dic3C22×D311yescharacteristic
303#239—68no—
304D3×Q8—68no—
305#237—616no—
306#237—68no—
307D3×D4—616no—
308D3×D4—68no—
309D3×D4—128no—
310#235—28no—
311#235—68no—
312#235—616no—
313#235—68no—
314#235—616no—
315#235—68no—
316#235—68no—
317#235—616no—
318#235—128no—
319C2×D12—34no—
320C2×D12—34no—
321C2×D12—32no—
322C2×D12—32no—
323C2×D12—38no—
324C2×D12—34no—
325C2×D12—34no—
326C2×D12—62no—
327C2×D12—64no—
328C2×D12—68no—
329C2×D12—128no—
330C2×D12C22×D312yes—
331C2×D12C22×D314yes—
332C2×C4×D3—34no—
333C2×C4×D3—34no—
334C2×C4×D3—34no—
335C2×C4×D3—34no—
336C2×C4×D3—34no—
337C2×C4×D3—34no—
338C2×C4×D3—44no—
339C2×C4×D3—64no—
340C2×C4×D3—616no—
341C2×C4×D3—616no—
342C2×C4×D3D1218yescomplemented
343C2×C4×D3C22×D314yes—
344C2×C4×D3C22×D314yes—
345C2×C4×D3C22×D314yes—
346C2×C4×D3C22×D312yes—
347C2×C4×D3C22×D312yes—
348C2×Dic6—32no—
349C2×Dic6—32no—
350C2×Dic6—34no—
351C2×Dic6—34no—
352C2×Dic6—62no—
353C2×Dic6—68no—
354C2×Dic6C22×D312yes—
355C3×C4⋊C4—24no—
356C3×C4⋊C4—34no—
357C3×C4⋊C4—38no—
358C3×C4⋊C4—34no—
359C3×C4⋊C4C22×D314yes—
360C3×C4⋊C4C22×D314yes—
361C3×C22⋊C4—38no—
362#217—38no—
363(C2×D3)⋊C4—38no—
364(C2×D3)⋊C4—38no—
365(C2×D3)⋊C4—38no—
366(C2×D3)⋊C4—38no—
367(C2×D3)⋊C4—38no—
368(C2×D3)⋊C4—68no—
369(C2×D3)⋊C4C22×D318yes—
370C4⋊Dic3—34no—
371C4⋊Dic3—34no—
372C4⋊Dic3—38no—
373C4⋊Dic3—64no—
374C4⋊Dic3C22×D314yes—
375C4⋊Dic3C22×D314yes—
376Dic3⋊C4—38no—
377Dic3⋊C4C22×D318yes—
378C22×C32—21no—
379C22×C32—21no—
380C22×C32C22×D412yes—
381C22×C32C2511yescharacteristic
382C2×C3⋊D3—24no—
383C2×C3⋊D3—24no—
384C2×C3⋊D3—24no—
385C2×C3×D3—21no—
386C2×C3×D3—21no—
387C2×C3×D3—28no—
388C2×C3×D3—24no—
389C2×C3×D3—24no—
390C2×C3×D3—24no—
391C2×C3×D3C22×D412yes—
392C2×C3×D3C22×D412yes—
393C2×C3×D3H(5,𝔽2)12yes—
394C2×C3×D32−1+412yes—
395D32—416no—
396C32×C4—24no—
397C32×C4C22×D414yes—
398C3⋊Dic3—24no—
399C3×Dic3—24no—
400C3×Dic3—24no—
401C3×Dic3C22×D414yes—
402C2×#41—32no—
403C2×#41—94no—
404C2×#41—94no—
405C2×#41—92no—
406C2×#41—92no—
407C2×#41—92no—
408C2×#41—1816no—
409C22×Q8—92no—
410C22×D4—92no—
411C22×D4—94no—
412C22×D4—94no—
413C23×C4—31no—
414C23×C4—32no—
415C23×C4—94no—
416C22⋊Q8—34no—
417C22⋊Q8—98no—
418C22⋊Q8—98no—
419C22⋊Q8—94no—
420C22⋊Q8—94no—
421C22⋊Q8—94no—
422#121—34no—
423#121—34no—
424#121—98no—
425#121—98no—
426#121—94no—
427#121—94no—
428#121—94no—
429#121—98no—
430#121—94no—
431#121—98no—
432#121—94no—
433#121—94no—
434C2×C4⋊C4—32no—
435C2×C4⋊C4—31no—
436C2×C4⋊C4—34no—
437C2×C4⋊C4—34no—
438C2×C4⋊C4—94no—
439C2×C4⋊C4D3211yescharacteristic, complemented
440C2×C22⋊C4—98no—
441C23×C3—21no—
442C23×C3—31no—
443C23×C3—34no—
444C23×C3—31no—
445C23×C3—34no—
446C23×C3—62no—
447C23×C3—62no—
448C23×C3C23×D311yescharacteristic
449C23×C3C23×D311yescharacteristic
450C22×D3—22no—
451C22×D3—22no—
452C22×D3—34no—
453C22×D3—34no—
454C22×D3—64no—
455C22×D3—68no—
456C22×D3—68no—
457C22×D3—68no—
458C22×D3—68no—
459C22×D3—68no—
460C22×D3—68no—
461C22×D3C2×D1214yes—
462C22×D3C23×D314yes—
463C22×D3C23×D311yescharacteristic
464C22×D3C23×D311yescharacteristic
465C3×Q8—64no—
466C3×D4—68no—
467C3×D4—64no—
468C3×D4—124no—
469C2×C3×C4—22no—
470C2×C3×C4—24no—
471C2×C3×C4—24no—
472C2×C3×C4—34no—
473C2×C3×C4—32no—
474C2×C3×C4—38no—
475C2×C3×C4—38no—
476C2×C3×C4—34no—
477C2×C3×C4—34no—
478C2×C3×C4—42no—
479C2×C3×C4—42no—
480C2×C3×C4—68no—
481C2×C3×C4—68no—
482C2×C3×C4—82no—
483C2×C3×C4—124no—
484C2×C3×C4—122no—
485C2×C3×C4C2×D1214yescomplemented
486C2×C3×C4D3×D414yescomplemented
487C2×C3×C4C23×D314yes—
488C2×C3×C4C23×D314yes—
489C2×C3×C4C23×D312yes—
490C2×C3×C4C23×D312yes—
491#67—28no—
492#67—68no—
493#67—68no—
494#67—68no—
495#67—68no—
496#67—68no—
497#67—68no—
498#67—128no—
499#67—128no—
500C2×Dic3—34no—
501C2×Dic3—34no—
502C2×Dic3—42no—
503C2×Dic3—64no—
504C2×Dic3—68no—
505C2×Dic3—68no—
506C2×Dic3C2×D1214yescomplemented
507C2×Dic3C23×D314yes—
508C2×Dic3C23×D314yes—
509C2×Dic3C23×D312yes—
510D12—24no—
511D12—44no—
512D12—68no—
513D12—68no—
514D12—64no—
515D12—64no—
516D12—124no—
517D12—124no—
518D12—124no—
519D12—128no—
520D12—244no—
521C4×D3—28no—
522C4×D3—28no—
523C4×D3—44no—
524C4×D3—68no—
525C4×D3—68no—
526C4×D3—68no—
527C4×D3—68no—
528C4×D3—68no—
529C4×D3—68no—
530C4×D3—128no—
531C4×D3C2×D1218yes—
532C4×D3C2×D1218yescomplemented
533Dic6—24no—
534Dic6—68no—
535Dic6—64no—
536Dic6—64no—
537Dic6—68no—
538Dic6—124no—
539C2×C32—22no—
540C2×C32C23×D411yescharacteristic
541C2×C32C2×H(5,𝔽2)11yescharacteristic
542C2×C32C2×2−1+411yescharacteristic
543C3⋊D3—44no—
544C3×D3—22no—
545C3×D3—44no—
546C3×D3#53714yescomplemented
547C24—31no—
548C24—94no—
549#41—68no—
550#41—1816no—
551#41—1816no—
552#41—188no—
553#41—188no—
554#41—188no—
555C2×Q8—32no—
556C2×Q8—94no—
557C2×Q8—92no—
558C2×Q8—188no—
559C2×D4—34no—
560C2×D4—32no—
561C2×D4—34no—
562C2×D4—94no—
563C2×D4—94no—
564C2×D4—98no—
565C2×D4—94no—
566C2×D4—94no—
567C2×D4—92no—
568C2×D4—94no—
569C2×D4—188no—
570C2×D4—1816no—
571C2×D4—368no—
572C22×C4—31no—
573C22×C4—32no—
574C22×C4—32no—
575C22×C4—38no—
576C22×C4—32no—
577C22×C4—34no—
578C22×C4—34no—
579C22×C4—34no—
580C22×C4—94no—
581C22×C4—94no—
582C22×C4—94no—
583C22×C4—94no—
584C22×C4—124no—
585C22×C4—1816no—
586C22×C4C2×D3212yes—
587C22×C4C2×D3211yescharacteristic
588C4⋊C4—38no—
589C4⋊C4—34no—
590C4⋊C4—34no—
591C4⋊C4—98no—
592C4⋊C4—94no—
593C4⋊C4C2×D3214yes—
594C22⋊C4—38no—
595C22⋊C4—98no—
596C22⋊C4—98no—
597C22⋊C4—98no—
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—22no—
603C22×C3—21no—
604C22×C3—32no—
605C22×C3—32no—
606C22×C3—32no—
607C22×C3—32no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—68no—
611C22×C3—61no—
612C22×C3—61no—
613C22×C3—64no—
614C22×C3—64no—
615C22×C3—64no—
616C22×C3C22×D1212yes—
617C22×C3C2×D3×D412yes—
618C22×C3C24×D311yescharacteristic
619C22×C3C24×D311yescharacteristic
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—28no—
623C2×D3—24no—
624C2×D3—24no—
625C2×D3—24no—
626C2×D3—64no—
627C2×D3—64no—
628C2×D3—64no—
629C2×D3—64no—
630C2×D3—64no—
631C2×D3—64no—
632C2×D3—124no—
633C2×D3—124no—
634C2×D3—124no—
635C2×D3—1216no—
636C2×D3—1216no—
637C2×D3C22×D1212yes—
638C2×D3C22×D1212yes—
639C2×D3#100412yes—
640C2×D3#100712yes—
641C3×C4—24no—
642C3×C4—24no—
643C3×C4—24no—
644C3×C4—34no—
645C3×C4—44no—
646C3×C4—64no—
647C3×C4—64no—
648C3×C4C22×D1214yes—
649C3×C4C2×D3×D414yes—
650Dic3—24no—
651Dic3—24no—
652Dic3—64no—
653Dic3—64no—
654Dic3—124no—
655Dic3C22×D1214yes—
656C32C2×#53711yescharacteristic, complemented, Sylow
657C23—31no—
658C23—34no—
659C23—31no—
660C23—34no—
661C23—62no—
662C23—62no—
663C23—94no—
664C23—188no—
665C23—188no—
666C23—188no—
667C23C22×D3211yescharacteristic
668Q8—64no—
669Q8—188no—
670Q8—184no—
671D4—68no—
672D4—64no—
673D4—124no—
674D4—188no—
675D4—188no—
676D4—188no—
677D4—188no—
678D4—184no—
679D4—364no—
680D4—368no—
681C2×C4—34no—
682C2×C4—32no—
683C2×C4—38no—
684C2×C4—38no—
685C2×C4—34no—
686C2×C4—34no—
687C2×C4—42no—
688C2×C4—68no—
689C2×C4—68no—
690C2×C4—94no—
691C2×C4—124no—
692C2×C4—122no—
693C2×C4—188no—
694C2×C4—188no—
695C2×C4—188no—
696C2×C4—188no—
697C2×C4D3×D1214yescomplemented
698C2×C4C22×D3214yes—
699C2×C4C22×D3212yes—
700C2×C3—22no—
701C2×C3—22no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—34no—
706C2×C3—42no—
707C2×C3—62no—
708C2×C3—124no—
709C2×C3C23×D1211yescharacteristic
710C2×C3C22×D3×D411yescharacteristic
711C2×C3C2×#100411yescharacteristic
712C2×C3C2×#100711yescharacteristic
713C2×C3D3×H(5,𝔽2)11yescharacteristic
714C2×C3D3×2−1+411yescharacteristic
715D3—22no—
716D3—44no—
717D3—124no—
718D3—124no—
719D3—244no—
720D3#551014yesdirect product factor
721C22—21no—
722C22—21no—
723C22—32no—
724C22—32no—
725C22—32no—
726C22—32no—
727C22—68no—
728C22—61no—
729C22—61no—
730C22—64no—
731C22—64no—
732C22—64no—
733C22—184no—
734C22—184no—
735C22—184no—
736C22—3616no—
737C22C2×D3×D1212yes—
738C22C23×D3211yescharacteristic
739C4—24no—
740C4—34no—
741C4—64no—
742C4—64no—
743C4—184no—
744C4C2×D3×D1214yes—
745C3—21no—
746C3C2×#551011yescharacteristic, complemented
747C3D3×#53711yescharacteristic, complemented
748C2—22no—
749C2—34no—
750C2—62no—
751C2—124no—
752C2—364no—
753C2C22×D3×D1211yescharacteristic
754C2D3×#100411yescharacteristic
755C2D3×#100711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×C4⋊C4C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#537
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×D3×#235C2semidirect
2. #10595981C2semidirect
3. C3×#5510C2semidirect
4. C2×C3×D3×C4⋊C4C2semidirect
5. D3×#930C2semidirect
6. #10595043C2semidirect
7. #10594911C2semidirect
8. D3×#897C2semidirect
9. D3×#895C2semidirect
10. #10594523C2semidirect
11. #10594522C2semidirect
14. C2×#3828C22semidirect
15. C2×C3×#235C22semidirect
19. C2×#3804C22semidirect
24. C2×#3799C22semidirect
25. C2×#3798C22semidirect
26. C2×#3795C22semidirect
28. C2×C32×C4⋊C4C22semidirect
29. #64139C22semidirect
30. #64106C22semidirect
31. #64104C22semidirect
32. C3×#930C22semidirect
33. C2×C3×C4⋊Dic3C22semidirect
34. C2×C3×Dic3⋊C4C22semidirect
35. C3×#897C22semidirect
36. C3×#895C22semidirect
38. C3×D3×C4⋊C4C22semidirect
39. #63978C22semidirect
41. #63916C22semidirect
42. #63910C22semidirect
43. #63909C22semidirect
44. #63909C22semidirect
45. #63908C22semidirect
46. #63906C22semidirect
47. #63895C22semidirect
48. #63893C22semidirect
50. #63886C22semidirect
51. #63871C22semidirect
52. #63857C22semidirect
72. #5510D3direct (N × H)
75. C2×D3×C4⋊C4D3semidirect
93. C2×C3×C4×D3D4semidirect
149. C2×#235C2×D3semidirect
165. C2×C3×C4⋊C4C2×D3semidirect
166. C2×C3×C4⋊C4C2×D3semidirect
180. #930C2×D3semidirect
183. C2×C4⋊Dic3C2×D3semidirect
185. C2×Dic3⋊C4C2×D3semidirect
193. #897C2×D3semidirect
203. #895C2×D3semidirect
206. D3×C4⋊C4C2×D3semidirect
223. C2×C32×C4C2×D4semidirect
234. C2×C3×Dic3C2×D4semidirect
244. C3×C4×D3C2×D4semidirect
342. C2×C4×D3D12semidirect
439. C2×C4⋊C4D32semidirect
485. C2×C3×C4C2×D12semidirect
486. C2×C3×C4D3×D4semidirect
506. C2×Dic3C2×D12semidirect
532. C4×D3C2×D12semidirect
546. C3×D3#537semidirect
656. C32C2×#537semidirect
697. C2×C4D3×D12semidirect
720. D3#5510direct (N × H)
746. C3C2×#5510semidirect
747. C3D3×#537semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2352
#105959812
C3×#55102
C2×C3×D3×C4⋊C42
D3×#9302
#105950432
#105949112
D3×#8972
D3×#8952
#105945232
#105945222
D3×#5373
C2×#55103