Finite Group Databasebeta

← D3×Q8×D12 #11902662

Subgroups — D3×Q8×D12 #11902662

Order 1152.

3276 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D32×Q8C212yesmaximal, complemented
2Q8×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C3×Q8×D12C211yesmaximal, characteristic, complemented
4C3×C4×D3×Q8C211yesmaximal, characteristic, complemented
5Q8×#626C212yesmaximal, complemented
6D3×#897C216yesmaximal, complemented
7#10594383C216yesmaximal, complemented
8C4×D3×D12C213yesmaximal
9#10593903C213yesmaximal, complemented
10Dic6×D12C213yesmaximal, complemented
11D3×#869C213yesmaximal, complemented
12D3×D4×Q8—31nomaximal
13C2×Q8×D12—31nomaximal
14C2×Q8×C3⋊D3C2212yescomplemented
15C2×C3×D3×Q8C2211yescharacteristic
16C2×C3×D3×Q8C2212yescomplemented
17D32×Q8—216no—
18C2×D3×D12C2211yescharacteristic
19C2×C4×D32C2216yes—
20C2×#3797C2216yescomplemented
21C2×D3×Dic6C2216yes—
22C2×D3×Dic6C2216yescomplemented
23C32×C4×Q8C2211yescharacteristic, complemented
24#64106C2216yescomplemented
25C4×C4⋊(C3⋊D3)C2213yes—
26#64078C2213yescomplemented
27C3×Q8×Dic3C2211yescharacteristic, complemented
28C3×#897C2216yescomplemented
29C3×D3×C4⋊C4C2213yes—
30C3×#887C2213yescomplemented
31C3×C4×D12C2213yes—
32C3×C42×D3C2213yes—
33C3×#869C2213yescomplemented
34C3×C4×Dic6C2213yescomplemented
35D3×(C2×D3)⋊C4C2216yes—
36#63918C2216yescomplemented
37#63918C2216yescomplemented
38C4×#626C2216yes—
39#63895C22112yescomplemented
40#63894C2213yes—
41#63893C22112yescomplemented
42Dic3×D12C2213yes—
43D3×C4⋊Dic3C2216yes—
44D3×C4⋊Dic3C2213yes—
45#63880C2216yes—
46#63871C2216yescomplemented
47#63866C2216yescomplemented
48#63857C2216yescomplemented
49C22×D3×Q8—32no—
50C22×D3×Q8—32no—
51C3×D4×Q8—31no—
52C2×C3×C4×Q8—31no—
53Q8×#67—32no—
54#5727—33no—
55D3×C4⋊Q8—33no—
56#5632—36no—
57D3×C22⋊Q8—36no—
58Q8×D12—32no—
59Q8×D12—31no—
60Q8×D12—31no—
61Q8×D12—36no—
62Q8×D12—33no—
63Q8×D12—33no—
64Q8×D12—61no—
65Q8×D12D311yescharacteristic, direct product factor
66C4×D3×Q8D311yescharacteristic, complemented
67C4×D3×D4—33no—
68D4×Dic6—33no—
69C2×#897—36no—
70C2×C4×D12—33no—
71C2×#869—33no—
72C22×D32C2312yes—
73C2×C32×Q8C2311yescharacteristic
74Q8×C3⋊D3—28no—
75C2×C4⋊(C3⋊D3)C2311yescharacteristic
76C2×C4×C3⋊D3C2316yes—
77C2×#634C2316yes—
78C3×D3×Q8—28no—
79C3×D3×Q8D418yescomplemented
80C2×C3×D12C2311yescharacteristic
81C2×C3×C4×D3C2313yes—
82C2×C3×C4×D3C2316yes—
83C2×C3×C4×D3C2313yes—
84C2×C3×C4×D3C2311yescharacteristic
85C2×C3×Dic6C2316yes—
86C2×C3×Dic6C2313yes—
87C2×#627C23112yes—
88C2×#626C2312yes—
89C2×#624C2316yes—
90C2×D3×Dic3C2316yes—
91C2×D3×Dic3C2316yes—
92D3×D12Q818yesdirect product factor
93C4×D32—224no—
94#3797—224no—
95D3×Dic6—224no—
96D3×Dic6—224no—
97C32×C4⋊C4C2313yes—
98C32×C42C2313yes—
99#3752C2316yes—
100C4⋊(C3⋊Dic3)C2313yes—
101C4⋊(C3⋊Dic3)C2316yes—
102C3×(C2×D3)⋊C4C2316yes—
103C3×C4⋊Dic3C2313yes—
104C3×C4⋊Dic3C2316yes—
105C3×C4⋊Dic3C2313yes—
106C3×Dic3⋊C4C2316yes—
107C3×C4×Dic3C2313yes—
108C3×C4×Dic3C2313yes—
109C3×C4×Dic3C2313yes—
110Dic3⋊Dic3C23112yes—
111Dic3⋊Dic3C2316yes—
112#3722C2316yes—
113(C2×D3)⋊Dic3C2316yes—
114C2×D4×Q8—91noSylow
115C22×C3×Q8—31no—
116C22×C3×Q8—32no—
117C2×D3×Q8—32no—
118C2×D3×Q8—32no—
119C2×D3×Q8—36no—
120C2×D3×Q8—36no—
121C2×D3×Q8—36no—
122C2×D3×Q8—36no—
123C2×D3×Q8—62no—
124C2×D3×Q8—616no—
125C2×D3×Q8—616no—
126C2×D3×Q8C2×D311yescharacteristic
127C2×D3×Q8C2×D312yescomplemented
128C2×D3×D4—31no—
129C22×D12—31no—
130C22×C4×D3—36no—
131C22×C4×D3—36no—
132C22×Dic6—36no—
133C22×Dic6—36no—
134C3×C4⋊Q8—33no—
135C3×C22⋊Q8—36no—
136C3×C4×Q8—21no—
137C3×C4×Q8—31no—
138C3×C4×Q8—33no—
139C3×C4×Q8—33no—
140C3×C4×Q8C2×D311yescharacteristic, complemented
141C3×C4×Q8C2×D311yescharacteristic, complemented
142C3×C4×D4—33no—
143C2×C3×C4⋊C4—33no—
144C2×C3×C42—33no—
145#946—36no—
146Q8×Dic3C2×D311yescharacteristic, complemented
147#944—36no—
148D4×Dic3—33no—
149C4×#67—36no—
150C2×(C2×D3)⋊C4—36no—
151C2×C4⋊Dic3—33no—
152C2×C4⋊Dic3—36no—
153#924—36no—
154#897—36no—
155#897—36no—
156#897—36no—
157#897—36no—
158#897—312no—
159#897—312no—
160#897—66no—
161#897C2×D316yescomplemented
162#896—312no—
163#893—33no—
164D3×C4⋊C4—33no—
165D3×C4⋊C4—36no—
166D3×C4⋊C4C2×D313yes—
167#888—36no—
168#888—36no—
169#887C2×D313yescomplemented
170#67⋊C4—36no—
171D3×C22⋊C4—36no—
172#878—312no—
173C4×D12—33no—
174C4×D12—36no—
175C4×D12—33no—
176C4×D12—33no—
177C4×D12—36no—
178C4×D12—33no—
179C4×D12—63no—
180C4×D12C2×D313yes—
181C42×D3C2×D313yes—
182#869—36no—
183#869—33no—
184#869—33no—
185#869—36no—
186#869—36no—
187#869—63no—
188#869C2×D313yescomplemented
189C4×Dic6C2×D313yescomplemented
190C22×C3⋊D3C2412yes—
191C22×C3×D3C2412yes—
192C22×C3×D3C2411yescharacteristic
193C2×D32—24no—
194C2×D32—24no—
195C2×D32C2×Q818yescomplemented
196C32×Q8C2×D414yescomplemented
197C2×C32×C4C2413yes—
198C2×C32×C4C2413yes—
199C2×C32×C4C2411yescharacteristic
200C2×C3⋊Dic3C2416yes—
201C4⋊(C3⋊D3)C2×Q814yescomplemented
202C4×C3⋊D3—212no—
203#634—212no—
204C2×C3×Dic3C2413yes—
205C2×C3×Dic3C2416yes—
206C2×C3×Dic3C2413yes—
207C2×C3×Dic3C2411yescharacteristic
208C3×D12C2×Q814yescomplemented
209C3×C4×D3—26no—
210C3×C4×D3—212no—
211C3×C4×D3C2×D4112yes—
212C3×C4×D3C2×Q814yescomplemented
213C3×Dic6—212no—
214C3×Dic6C2×D4112yescomplemented
215#627—224no—
216#626C2×Q818yescomplemented
217#624—212no—
218D3×Dic3—212no—
219D3×Dic3—212no—
220C23×Q8—92no—
221D4×Q8—31no—
222D4×Q8—93no—
223D4×Q8—96no—
224D4×Q8—93no—
225D4×Q8—92no—
226D4×Q8—91no—
227C2×C4⋊Q8—93no—
228C2×C22⋊Q8—96no—
229C2×C4×Q8—31no—
230C2×C4×D4—93no—
231C23×D3—32no—
232C23×D3—32no—
233C2×C3×Q8—21no—
234C2×C3×Q8—38no—
235C2×C3×Q8—33no—
236C2×C3×Q8—36no—
237C2×C3×Q8—68no—
238C2×C3×Q8C22×D311yescharacteristic
239C2×C3×Q8C22×D311yescharacteristic
240C2×C3×D4—31no—
241C22×C3×C4—31no—
242C22×C3×C4—33no—
243C22×C3×C4—36no—
244C22×C3×C4—33no—
245C2×#67—32no—
246C22×Dic3—36no—
247C22×Dic3—36no—
248D3×Q8—28no—
249D3×Q8—624no—
250D3×Q8—624no—
251D3×Q8—68no—
252D3×Q8—68no—
253D3×Q8—624no—
254D3×Q8—624no—
255D3×Q8—128no—
256D3×Q8D1218yesdirect product factor
257D3×D4—38no—
258C2×D12—32no—
259C2×D12—31no—
260C2×D12—31no—
261C2×D12—38no—
262C2×D12—61no—
263C2×D12C22×D311yescharacteristic
264C2×C4×D3—36no—
265C2×C4×D3—36no—
266C2×C4×D3—36no—
267C2×C4×D3—36no—
268C2×C4×D3—36no—
269C2×C4×D3—36no—
270C2×C4×D3—66no—
271C2×C4×D3—624no—
272C2×C4×D3—624no—
273C2×C4×D3C22×D313yes—
274C2×C4×D3C22×D316yes—
275C2×C4×D3C22×D313yes—
276C2×C4×D3C22×D311yescharacteristic
277C2×Dic6—36no—
278C2×Dic6—36no—
279C2×Dic6—312no—
280C2×Dic6—312no—
281C2×Dic6—66no—
282C2×Dic6—624no—
283C2×Dic6—624no—
284C2×Dic6C22×D316yes—
285C2×Dic6C22×D313yes—
286C3×C4⋊C4—23no—
287C3×C4⋊C4—33no—
288C3×C4⋊C4—36no—
289C3×C4⋊C4—36no—
290C3×C4⋊C4—33no—
291C3×C4⋊C4C22×D313yes—
292C3×C4⋊C4C22×D313yes—
293C3×C22⋊C4—36no—
294C3×C42—23no—
295C3×C42—33no—
296C3×C42—33no—
297C3×C42—33no—
298C3×C42C22×D313yes—
299C3×C42C22×D313yes—
300#217—36no—
301(C2×D3)⋊C4—36no—
302(C2×D3)⋊C4—36no—
303(C2×D3)⋊C4—36no—
304(C2×D3)⋊C4—36no—
305(C2×D3)⋊C4—36no—
306(C2×D3)⋊C4—66no—
307(C2×D3)⋊C4C22×D316yes—
308C4⋊Dic3—33no—
309C4⋊Dic3—33no—
310C4⋊Dic3—36no—
311C4⋊Dic3—36no—
312C4⋊Dic3—36no—
313C4⋊Dic3—312no—
314C4⋊Dic3—63no—
315C4⋊Dic3—66no—
316C4⋊Dic3C22×D313yes—
317C4⋊Dic3C22×D313yes—
318C4⋊Dic3C22×D316yes—
319Dic3⋊C4—312no—
320Dic3⋊C4—36no—
321Dic3⋊C4C22×D316yes—
322C4×Dic3C22×D313yes—
323C4×Dic3C22×D313yes—
324C4×Dic3C22×D313yes—
325C22×C32C2511yescharacteristic
326C2×C3⋊D3—22no—
327C2×C3⋊D3—22no—
328C2×C3⋊D3C22×Q814yescomplemented
329C2×C3×D3—22no—
330C2×C3×D3—22no—
331C2×C3×D3C22×D412yes—
332C2×C3×D3C22×Q812yes—
333C2×C3×D3C22×Q814yescomplemented
334C2×C3×D32−1+412yes—
335D32—216no—
336C32×C4—23no—
337C32×C4C22×D416yes—
338C32×C4C22×Q812yescomplemented
339C3⋊Dic3—26no—
340C3×Dic3—26no—
341C3×Dic3—23no—
342C3×Dic3C22×D416yes—
343C3×Dic3C22×Q812yescomplemented
344C22×Q8—31no—
345C22×Q8—32no—
346C22×Q8—96no—
347C22×Q8—96no—
348C22×Q8—96no—
349C22×Q8—92no—
350C22×Q8—1816no—
351C22×D4—91no—
352C23×C4—96no—
353C4⋊Q8—33no—
354C4⋊Q8—96no—
355C4⋊Q8—96no—
356C4⋊Q8—96no—
357C4⋊Q8—93no—
358C22⋊Q8—36no—
359C22⋊Q8—912no—
360C22⋊Q8—912no—
361C22⋊Q8—96no—
362C22⋊Q8—96no—
363C22⋊Q8—96no—
364C4×Q8—31no—
365C4×Q8—33no—
366C4×Q8—33no—
367C4×Q8D3211yescharacteristic, complemented
368C4×D4—33no—
369C4×D4—96no—
370C4×D4—93no—
371C4×D4—96no—
372C4×D4—93no—
373C4×D4—93no—
374C2×C4⋊C4—33no—
375C2×C4⋊C4—93no—
376C2×C4⋊C4—96no—
377C2×C22⋊C4—96no—
378C2×C42—33no—
379C23×C3—31no—
380C23×C3—32no—
381C22×D3—32no—
382C22×D3—32no—
383C22×D3—38no—
384C22×D3—38no—
385C22×D3—62no—
386C22×D3—64no—
387C22×D3—64no—
388C22×D3—64no—
389C22×D3—64no—
390C22×D3C23×D312yes—
391C22×D3C23×D311yescharacteristic
392C3×Q8—24no—
393C3×Q8—312no—
394C3×Q8—612no—
395C3×Q8C2×D1214yescomplemented
396C3×Q8D3×D414yescomplemented
397C3×D4—34no—
398C2×C3×C4—21no—
399C2×C3×C4—23no—
400C2×C3×C4—23no—
401C2×C3×C4—31no—
402C2×C3×C4—33no—
403C2×C3×C4—312no—
404C2×C3×C4—34no—
405C2×C3×C4—36no—
406C2×C3×C4—33no—
407C2×C3×C4—66no—
408C2×C3×C4—612no—
409C2×C3×C4C23×D313yes—
410C2×C3×C4C23×D313yes—
411C2×C3×C4C23×D313yes—
412C2×C3×C4C23×D313yes—
413C2×C3×C4C23×D311yescharacteristic
414C2×C3×C4C23×D311yescharacteristic
415#67—38no—
416C2×Dic3—36no—
417C2×Dic3—36no—
418C2×Dic3—66no—
419C2×Dic3—612no—
420C2×Dic3—612no—
421C2×Dic3C23×D313yes—
422C2×Dic3C23×D316yes—
423C2×Dic3C23×D313yes—
424C2×Dic3C23×D311yescharacteristic
425D12—38no—
426D12—34no—
427D12—34no—
428D12—64no—
429D12D3×Q814yesdirect product factor
430C4×D3—26no—
431C4×D3—212no—
432C4×D3—612no—
433C4×D3—612no—
434C4×D3—612no—
435C4×D3—612no—
436C4×D3—612no—
437C4×D3—612no—
438C4×D3—1212no—
439C4×D3C2×D12112yes—
440C4×D3D3×Q814yescomplemented
441Dic6—212no—
442Dic6—624no—
443Dic6—612no—
444Dic6—612no—
445Dic6—624no—
446Dic6—1212no—
447Dic6C2×D12112yescomplemented
448C2×C32C23×D411yescharacteristic
449C2×C32C23×Q811yescharacteristic
450C2×C32C2×2−1+411yescharacteristic
451C3⋊D3—24no—
452C3×D3—24no—
453C3×D3D4×Q814yescomplemented
454C24—92no—
455C2×Q8—38no—
456C2×Q8—33no—
457C2×Q8—36no—
458C2×Q8—68no—
459C2×Q8—912no—
460C2×Q8—96no—
461C2×Q8—1824no—
462C2×Q8—1824no—
463C2×Q8—1824no—
464C2×Q8—188no—
465C2×Q8C2×D3211yescharacteristic
466C2×D4—31no—
467C2×D4—98no—
468C2×D4—92no—
469C2×D4—91no—
470C22×C4—31no—
471C22×C4—33no—
472C22×C4—33no—
473C22×C4—36no—
474C22×C4—96no—
475C22×C4—96no—
476C22×C4—96no—
477C22×C4—96no—
478C22×C4—1824no—
479C4⋊C4—36no—
480C4⋊C4—33no—
481C4⋊C4—33no—
482C4⋊C4—36no—
483C4⋊C4—96no—
484C4⋊C4—912no—
485C4⋊C4—93no—
486C4⋊C4—96no—
487C4⋊C4C2×D3213yes—
488C22⋊C4—36no—
489C22⋊C4—96no—
490C22⋊C4—96no—
491C22⋊C4—96no—
492C42—33no—
493C42—33no—
494C42—33no—
495C42C2×D3213yes—
496C22×C3—21no—
497C22×C3—32no—
498C22×C3—32no—
499C22×C3—32no—
500C22×C3—34no—
501C22×C3—62no—
502C22×C3—62no—
503C22×C3C24×D311yescharacteristic
504C22×C3C24×D311yescharacteristic
505C2×D3—22no—
506C2×D3—22no—
507C2×D3—34no—
508C2×D3—34no—
509C2×D3—64no—
510C2×D3—616no—
511C2×D3—62no—
512C2×D3—62no—
513C2×D3—62no—
514C2×D3—62no—
515C2×D3—616no—
516C2×D3—122no—
517C2×D3—122no—
518C2×D3C22×D1212yes—
519C2×D3C2×D3×Q812yes—
520C2×D3C2×D3×Q814yescomplemented
521C2×D3#101012yes—
522C3×C4—23no—
523C3×C4—23no—
524C3×C4—26no—
525C3×C4—22no—
526C3×C4—36no—
527C3×C4—32no—
528C3×C4—43no—
529C3×C4—66no—
530C3×C4—63no—
531C3×C4C22×D1216yes—
532C3×C4C2×D3×D416yes—
533C3×C4C2×D3×Q812yescomplemented
534C3×C4C2×D3×Q812yescomplemented
535Dic3—26no—
536Dic3—23no—
537Dic3—66no—
538Dic3—66no—
539Dic3—126no—
540Dic3C22×D1216yes—
541Dic3C2×D3×Q812yescomplemented
542C32C2×D4×Q811yescharacteristic, complemented, Sylow
543C23—31no—
544C23—32no—
545C23—98no—
546C23—92no—
547C23—184no—
548C23—184no—
549Q8—312no—
550Q8—612no—
551Q8—1824no—
552Q8—1812no—
553Q8D3×D1214yesdirect product factor
554D4—34no—
555D4—98no—
556D4—94no—
557C2×C4—31no—
558C2×C4—33no—
559C2×C4—312no—
560C2×C4—34no—
561C2×C4—33no—
562C2×C4—36no—
563C2×C4—66no—
564C2×C4—612no—
565C2×C4—96no—
566C2×C4—1812no—
567C2×C4—1812no—
568C2×C4—1812no—
569C2×C4—1812no—
570C2×C4C22×D3213yes—
571C2×C4C22×D3213yes—
572C2×C4C22×D3211yescharacteristic
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—34no—
577C2×C3—64no—
578C2×C3C23×D1211yescharacteristic
579C2×C3C22×D3×D411yescharacteristic
580C2×C3C22×D3×Q811yescharacteristic
581C2×C3C22×D3×Q811yescharacteristic
582C2×C3C2×#101011yescharacteristic
583C2×C3D3×2−1+411yescharacteristic
584D3—24no—
585D3—64no—
586D3—64no—
587D3—124no—
588D3Q8×D1214yesdirect product factor
589C22—32no—
590C22—32no—
591C22—32no—
592C22—34no—
593C22—62no—
594C22—62no—
595C22—94no—
596C22—1816no—
597C22—182no—
598C22—182no—
599C22C23×D3211yescharacteristic
600C4—23no—
601C4—36no—
602C4—32no—
603C4—66no—
604C4—63no—
605C4—186no—
606C4C2×D3×D1216yes—
607C4D32×Q812yescomplemented
608C3—21no—
609C3C2×Q8×D1211yescharacteristic, complemented
610C3D3×D4×Q811yescharacteristic, complemented
611C2—34no—
612C2—64no—
613C2—184no—
614C2C22×D3×D1211yescharacteristic
615C2C2×D32×Q811yescharacteristic
616C2D3×#101011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
prime radicalC2×D3×D12C22
hypercenterC4×Q8D32
hypocenterC32C2×D4×Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×D32×Q8C2semidirect
2. Q8×C4⋊(C3⋊D3)C2semidirect
3. C3×Q8×D12C2semidirect
4. C3×C4×D3×Q8C2semidirect
5. Q8×#626C2semidirect
6. D3×#897C2semidirect
7. #10594383C2semidirect
9. #10593903C2semidirect
10. Dic6×D12C2semidirect
11. D3×#869C2semidirect
14. C2×Q8×C3⋊D3C22semidirect
16. C2×C3×D3×Q8C22semidirect
20. C2×#3797C22semidirect
22. C2×D3×Dic6C22semidirect
23. C32×C4×Q8C22semidirect
24. #64106C22semidirect
26. #64078C22semidirect
27. C3×Q8×Dic3C22semidirect
28. C3×#897C22semidirect
30. C3×#887C22semidirect
33. C3×#869C22semidirect
34. C3×C4×Dic6C22semidirect
36. #63918C22semidirect
37. #63918C22semidirect
39. #63895C22semidirect
41. #63893C22semidirect
46. #63871C22semidirect
47. #63866C22semidirect
48. #63857C22semidirect
65. Q8×D12D3direct (N × H)
66. C4×D3×Q8D3semidirect
79. C3×D3×Q8D4semidirect
92. D3×D12Q8direct (N × H)
127. C2×D3×Q8C2×D3semidirect
140. C3×C4×Q8C2×D3semidirect
141. C3×C4×Q8C2×D3semidirect
146. Q8×Dic3C2×D3semidirect
161. #897C2×D3semidirect
169. #887C2×D3semidirect
188. #869C2×D3semidirect
189. C4×Dic6C2×D3semidirect
195. C2×D32C2×Q8semidirect
196. C32×Q8C2×D4semidirect
201. C4⋊(C3⋊D3)C2×Q8semidirect
208. C3×D12C2×Q8semidirect
212. C3×C4×D3C2×Q8semidirect
214. C3×Dic6C2×D4semidirect
216. #626C2×Q8semidirect
256. D3×Q8D12direct (N × H)
328. C2×C3⋊D3C22×Q8semidirect
333. C2×C3×D3C22×Q8semidirect
338. C32×C4C22×Q8semidirect
343. C3×Dic3C22×Q8semidirect
367. C4×Q8D32semidirect
395. C3×Q8C2×D12semidirect
396. C3×Q8D3×D4semidirect
429. D12D3×Q8direct (N × H)
440. C4×D3D3×Q8semidirect
447. Dic6C2×D12semidirect
453. C3×D3D4×Q8semidirect
520. C2×D3C2×D3×Q8semidirect
533. C3×C4C2×D3×Q8semidirect
534. C3×C4C2×D3×Q8semidirect
541. Dic3C2×D3×Q8semidirect
542. C32C2×D4×Q8semidirect
553. Q8D3×D12direct (N × H)
588. D3Q8×D12direct (N × H)
607. C4D32×Q8semidirect
609. C3C2×Q8×D12semidirect
610. C3D3×D4×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×D32×Q82
Q8×C4⋊(C3⋊D3)2
C3×Q8×D122
C3×C4×D3×Q82
Q8×#6262
D3×#8972
#105943832
C4×D3×D122
#105939032
Dic6×D122
D3×#8692
D3×D4×Q83
C2×Q8×D123