Finite Group Databasebeta

← D3×#4856 #11875030

Subgroups — D3×#4856 #11875030

Order 1152.

813 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#890C211yesmaximal, characteristic
2D3×#888C211yesmaximal, characteristic
3#10592555C211yesmaximal, characteristic, complemented
4C3×D3×#106C211yesmaximal, characteristic
5C3×#4856C211yesmaximal, characteristic, complemented
6#10590903C211yesmaximal, characteristic, complemented
7#10590892C211yesmaximal, characteristic, complemented
8D3×#818C211yesmaximal, characteristic
9D3×#815C211yesmaximal, characteristic
10D3×#808C211yesmaximal, characteristic
11D3×#807C211yesmaximal, characteristic
12#10590564C211yesmaximal, characteristic, complemented
13#10590546C211yesmaximal, characteristic, complemented
14#10590421C211yesmaximal, characteristic, complemented
15#10590419C211yesmaximal, characteristic, complemented
16D3×#501—31nomaximal
17C2×#4856—31nomaximal
18C2×D3×Dic6—21no—
19#64099C2211yescharacteristic
20#64097C2211yescharacteristic
21C2×C3×D3×C8C2211yescharacteristic
22C3×D3×C4⋊C4C2211yescharacteristic
23C3×D3×C4⋊C4C2211yescharacteristic
24C3×#890C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#63919C2211yescharacteristic
27#63918C2211yescharacteristic
28D3×C4⋊Dic3—21no—
29D3×C4⋊Dic3C2211yescharacteristic
30D3×C4⋊Dic3C2211yescharacteristic
31D3×Dic3⋊C4—21no—
32D3×Dic3⋊C4—21no—
33C4×D3×Dic3C2211yescharacteristic
34#63872C2211yescharacteristic
35#63869C2211yescharacteristic
36#63846—21no—
37#63845—21no—
38#63840—21no—
39#63839—21no—
40C2×D3×C3⋊C8C2211yescharacteristic
41C32×#106C2211yescharacteristic
42#63645C2211yescharacteristic
43#63642C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C3×#818C2211yescharacteristic
47C3×#817C2211yescharacteristic
48C3×#815C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#808C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63574C2211yescharacteristic
58#63573C2211yescharacteristic
59#63555C2211yescharacteristic
60#63554C2211yescharacteristic
61D3×C4⋊Q8—31no—
62D3×#125—31no—
63C2×#890—31no—
64C2×#888—31no—
65C3×#501—31no—
66C2×C3×#106—31no—
67C2×#818—31no—
68C2×#815—31no—
69#5081—31no—
70#5064—31no—
71C2×#808—31no—
72C2×#807—31no—
73D3×#107—31no—
74D3×#107—31no—
75#4876—31no—
76#4876—31no—
77D3×#106—31no—
78D3×#106D311yescharacteristic
79#4856—31no—
80#4856—31no—
81#4856—31no—
82#4856—31no—
83#4856—31no—
84#4856—31no—
85#4856—31no—
86#4856—31no—
87#4856—31no—
88#4856—61no—
89#4856D311yescharacteristic, direct product factor
90D3×#97—31no—
91#4702—31no—
92C2×#634—21no—
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6—21no—
97C2×#627—21no—
98C2×#627—21no—
99C2×D3×Dic3—21no—
100C2×D3×Dic3—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103D3×Dic6—44no—
104C2×C32×C8C2311yescharacteristic
105C32×C4⋊C4C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107C4⋊(C3⋊Dic3)—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3C2311yescharacteristic
116C3×C4⋊Dic3C2311yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×D3×C8Q814yescomplemented
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32D411yescharacteristic
136Dic32D411yescharacteristic
137D3×C3⋊C8Q814yescomplemented
138C2×#501—91noSylow
139C2×D3×Q8—61no—
140C22×Dic6—61no—
141C22×C3×C8—31no—
142C3×C4⋊Q8—31no—
143C3×#125—31no—
144C2×C3×C4⋊C4—31no—
145C2×C3×C4⋊C4—31no—
146#944—61no—
147C2×C4⋊Dic3—31no—
148C2×C4⋊Dic3—31no—
149C2×C4⋊Dic3—61no—
150C2×Dic3⋊C4—61no—
151C2×Dic3⋊C4—61no—
152C2×C4×Dic3—31no—
153C22×C3⋊C8—31no—
154C2×D3×C8—31no—
155C2×D3×C8C2×D311yescharacteristic
156D3×C4⋊C4—31no—
157D3×C4⋊C4—31no—
158D3×C4⋊C4—61no—
159D3×C4⋊C4—61no—
160D3×C4⋊C4—61no—
161D3×C4⋊C4C2×D311yescharacteristic
162D3×C4⋊C4C2×D311yescharacteristic
163#890—31no—
164#890—31no—
165#890—31no—
166#890—31no—
167#890—31no—
168#890—61no—
169#890—61no—
170#890—61no—
171#890C2×D311yescharacteristic
172#889—61no—
173#889—61no—
174#888—31no—
175#888—31no—
176#888—31no—
177#888—31no—
178#888—31no—
179#888—61no—
180#888—61no—
181#888—61no—
182#888—61no—
183#888C2×D311yescharacteristic
184C42×D3—31no—
185#870—31no—
186#869—31no—
187C3×#107—31no—
188C3×#107—31no—
189C3×#106—21no—
190C3×#106—31no—
191C3×#106—31no—
192C3×#106—31no—
193C3×#106—31no—
194C3×#106C2×D311yescharacteristic
195C3×#106C2×D311yescharacteristic
196C3×#97—31no—
197#818—31no—
198#818—31no—
199#818—31no—
200#818—31no—
201#818—31no—
202#818—61no—
203#818C2×D311yescharacteristic
204#817—31no—
205#817C2×D311yescharacteristic
206#815—31no—
207#815—31no—
208#815—31no—
209#815—31no—
210#815—31no—
211#815—61no—
212#815C2×D311yescharacteristic
213#808—31no—
214#808—31no—
215#808—31no—
216#808—31no—
217#808—31no—
218#808—61no—
219#808C2×D311yescharacteristic
220#808C2×D311yescharacteristic
221#808C2×D311yescharacteristic
222#807—31no—
223#807—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—31no—
228#807—31no—
229#807—61no—
230#807C2×D311yescharacteristic
231#803—31no—
232C22×C3×D3C2×D411yescharacteristic
233C2×C32×C4—21no—
234C2×C32×C4—21no—
235C2×C32×C4C2411yescharacteristic
236C2×C3⋊Dic3—21no—
237C2×C3⋊Dic3—21no—
238C2×C3⋊Dic3C2×D411yescharacteristic
239C2×C3⋊Dic3C2×D411yescharacteristic
240#634—42no—
241C2×C3×Dic3—21no—
242C2×C3×Dic3—21no—
243C2×C3×Dic3—21no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3C2×D411yescharacteristic
246C2×C3×Dic3C2×D411yescharacteristic
247C2×C3×Dic3C2×D411yescharacteristic
248C3×C4×D3—42no—
249C3×C4×D3—42no—
250C3×C4×D3C2×Q812yes—
251C3×C4×D3C2×Q812yes—
252C3×Dic6—42no—
253#627—42no—
254#627—42no—
255D3×Dic3—22no—
256D3×Dic3—22no—
257D3×Dic3—42no—
258D3×Dic3—42no—
259C32×C8C2×Q812yescomplemented
260C3⋊(C3⋊C8)C2×Q812yescomplemented
261C3×C3⋊C8C2×Q812yescomplemented
262C3×C3⋊C8C2×Q812yescomplemented
263C2×C4⋊Q8—91no—
264C2×#125—91no—
265#501—31no—
266#501—91no—
267#501—91no—
268#501—91no—
269#501—91no—
270#501—91no—
271#501—91no—
272#501—91no—
273C2×#107—91no—
274C2×#107—91no—
275C2×#106—31no—
276C2×#106—91no—
277C2×#97—91no—
278C2×C3×Q8—61no—
279C22×C3×C4—31no—
280C22×C3×C4—61no—
281C22×C3×C4—61no—
282C22×Dic3—31no—
283C22×Dic3—31no—
284C22×Dic3—61no—
285C22×Dic3—61no—
286D3×Q8—124no—
287C2×C4×D3—21no—
288C2×C4×D3—21no—
289C2×C4×D3—31no—
290C2×C4×D3—31no—
291C2×C4×D3—61no—
292C2×C4×D3—61no—
293C2×C4×D3C22×D311yescharacteristic
294C2×Dic6—21no—
295C2×Dic6—61no—
296C2×Dic6—61no—
297C2×Dic6—61no—
298C2×Dic6—61no—
299C2×Dic6—61no—
300C2×Dic6—61no—
301C2×Dic6—121no—
302C2×Dic6—124no—
303C2×C3×C8—21no—
304C2×C3×C8—31no—
305C2×C3×C8—31no—
306C2×C3×C8—34no—
307C2×C3×C8C22×D311yescharacteristic
308C2×C3×C8C22×D311yescharacteristic
309C3×C4⋊C4—21no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—31no—
312C3×C4⋊C4—31no—
313C3×C4⋊C4—31no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—61no—
316C3×C4⋊C4—61no—
317C3×C4⋊C4—61no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4C22×D311yescharacteristic
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C4⋊C4C22×D311yescharacteristic
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C42—31no—
325C4⋊Dic3—21no—
326C4⋊Dic3—31no—
327C4⋊Dic3—31no—
328C4⋊Dic3—31no—
329C4⋊Dic3—31no—
330C4⋊Dic3—61no—
331C4⋊Dic3—61no—
332C4⋊Dic3—61no—
333C4⋊Dic3—61no—
334C4⋊Dic3—61no—
335C4⋊Dic3—61no—
336C4⋊Dic3—61no—
337C4⋊Dic3—61no—
338C4⋊Dic3—61no—
339C4⋊Dic3—61no—
340C4⋊Dic3—121no—
341C4⋊Dic3C22×D311yescharacteristic
342C4⋊Dic3C22×D311yescharacteristic
343C4⋊Dic3C22×D311yescharacteristic
344C4⋊Dic3C22×D311yescharacteristic
345Dic3⋊C4—21no—
346Dic3⋊C4—21no—
347Dic3⋊C4—21no—
348Dic3⋊C4—21no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—61no—
354Dic3⋊C4—61no—
355Dic3⋊C4—61no—
356Dic3⋊C4—61no—
357Dic3⋊C4—61no—
358Dic3⋊C4—61no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—61no—
362Dic3⋊C4—61no—
363Dic3⋊C4—121no—
364Dic3⋊C4—121no—
365C4×Dic3—31no—
366C4×Dic3—31no—
367C4×Dic3—31no—
368C4×Dic3—31no—
369C4×Dic3—31no—
370C4×Dic3—31no—
371C4×Dic3—61no—
372C4×Dic3C22×D311yescharacteristic
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—34no—
376C2×C3⋊C8—61no—
377C2×C3⋊C8C22×D311yescharacteristic
378C2×C3⋊C8C22×D311yescharacteristic
379D3×C8—34no—
380D3×C8Dic614yescomplemented
381C22×C32C22×D411yescharacteristic
382C2×C3×D3C4⋊Q812yes—
383C2×C3×D3AGL(1,ℤ/8)12yes—
384C2×C3×D3#13712yes—
385C32×C4—41no—
386C32×C4—41no—
387C32×C4C22×Q811yescharacteristic
388C32×C4C22×Q811yescharacteristic
389C3⋊Dic3—21no—
390C3⋊Dic3—21no—
391C3⋊Dic3—41no—
392C3⋊Dic3—41no—
393C3×Dic3—21no—
394C3×Dic3—21no—
395C3×Dic3—41no—
396C3×Dic3—41no—
397C3×Dic3—41no—
398C3×Dic3—41no—
399C3×Dic3C4⋊Q812yes—
400C22×Q8—181no—
401C22×C8—31no—
402C22×C8—91no—
403C4⋊Q8—31no—
404C4⋊Q8—91no—
405C4⋊Q8—91no—
406C4⋊Q8—91no—
407C4⋊Q8—181no—
408C4⋊Q8—181no—
409#125—31no—
410#125—91no—
411#125—91no—
412#125—91no—
413#125—181no—
414#125—181no—
415C2×C4⋊C4—31no—
416C2×C4⋊C4—31no—
417C2×C4⋊C4—91no—
418C2×C4⋊C4—91no—
419C2×C4⋊C4—181no—
420C2×C4⋊C4—181no—
421C2×C4⋊C4—181no—
422C2×C42—91no—
423#107—31no—
424#107—31no—
425#107—91no—
426#107—91no—
427#107—91no—
428#107—91no—
429#107—91no—
430#107—91no—
431#106—31no—
432#106—31no—
433#106—31no—
434#106—31no—
435#106—91no—
436#106—91no—
437#106—91no—
438#106D3211yescharacteristic
439#97—31no—
440#97—91no—
441#97—91no—
442#97—91no—
443C23×C3—31no—
444C22×D3D3×D411yescharacteristic
445C3×Q8—122no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—31no—
452C2×C3×C4—32no—
453C2×C3×C4—32no—
454C2×C3×C4—31no—
455C2×C3×C4—31no—
456C2×C3×C4—41no—
457C2×C3×C4—41no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—122no—
463C2×C3×C4—122no—
464C2×C3×C4C23×D311yescharacteristic
465C2×C3×C4C23×D311yescharacteristic
466C2×Dic3—21no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—31no—
471C2×Dic3—31no—
472C2×Dic3—31no—
473C2×Dic3—31no—
474C2×Dic3—61no—
475C2×Dic3—61no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—121no—
483C2×Dic3—121no—
484C2×Dic3—122no—
485C2×Dic3—122no—
486C2×Dic3D3×D411yescharacteristic
487C2×Dic3D3×D411yescharacteristic
488C2×Dic3D3×D411yescharacteristic
489C4×D3—42no—
490C4×D3—42no—
491C4×D3—62no—
492C4×D3—62no—
493C4×D3—122no—
494C4×D3—122no—
495C4×D3C2×Dic612yes—
496C4×D3D3×Q812yes—
497Dic6—42no—
498Dic6—122no—
499Dic6—122no—
500Dic6—122no—
501Dic6—122no—
502Dic6—122no—
503Dic6—122no—
504Dic6—242no—
505C3×C8—22no—
506C3×C8—32no—
507C3×C8—32no—
508C3×C8C2×Dic612yescomplemented
509C3×C8D3×Q812yescomplemented
510C3⋊C8—32no—
511C3⋊C8—32no—
512C3⋊C8—62no—
513C3⋊C8C2×Dic612yescomplemented
514C3⋊C8D3×Q812yescomplemented
515C2×C32C2×C4⋊Q811yescharacteristic
516C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
517C2×C32C2×#13711yescharacteristic
518C3×D3#50114yescomplemented
519C2×Q8—61no—
520C2×Q8—181no—
521C2×Q8—181no—
522C2×Q8—181no—
523C2×Q8—364no—
524C22×C4—31no—
525C22×C4—61no—
526C22×C4—61no—
527C22×C4—91no—
528C22×C4—91no—
529C22×C4—181no—
530C22×C4—181no—
531C2×C8—31no—
532C2×C8—31no—
533C2×C8—34no—
534C2×C8—94no—
535C2×C8—91no—
536C2×C8C2×D3211yescharacteristic
537C4⋊C4—31no—
538C4⋊C4—31no—
539C4⋊C4—31no—
540C4⋊C4—31no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—91no—
547C4⋊C4—91no—
548C4⋊C4—181no—
549C4⋊C4—181no—
550C4⋊C4—181no—
551C4⋊C4—181no—
552C4⋊C4—181no—
553C4⋊C4—181no—
554C4⋊C4—181no—
555C4⋊C4—181no—
556C4⋊C4—181no—
557C4⋊C4—181no—
558C4⋊C4—181no—
559C4⋊C4C2×D3211yescharacteristic
560C4⋊C4C2×D3211yescharacteristic
561C42—31no—
562C42—91no—
563C42—91no—
564C42—91no—
565C22×C3—21no—
566C22×C3—32no—
567C22×C3—32no—
568C22×C3—32no—
569C22×C3C2×D3×D411yescharacteristic
570C22×C3C2×D3×D411yescharacteristic
571C2×D3#88812yes—
572C2×D3#91412yes—
573C2×D3#91512yes—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—32no—
577C3×C4—41no—
578C3×C4—41no—
579C3×C4—41no—
580C3×C4—41no—
581C3×C4—61no—
582C3×C4—61no—
583C3×C4—81no—
584C3×C4—81no—
585C3×C4—121no—
586C3×C4—121no—
587C3×C4—121no—
588C3×C4—121no—
589C3×C4C22×Dic611yescharacteristic
590C3×C4C2×D3×Q811yescharacteristic
591C3×C4C2×D3×Q811yescharacteristic
592C3×C4C2×D3×Q811yescharacteristic
593Dic3—21no—
594Dic3—21no—
595Dic3—41no—
596Dic3—41no—
597Dic3—41no—
598Dic3—41no—
599Dic3—61no—
600Dic3—61no—
601Dic3—61no—
602Dic3—61no—
603Dic3—121no—
604Dic3—121no—
605Dic3—121no—
606Dic3—121no—
607Dic3—121no—
608Dic3—121no—
609Dic3—241no—
610Dic3—241no—
611Dic3#88812yes—
612C32C2×#50111yescharacteristic, complemented, Sylow
613C23—31no—
614Q8—122no—
615Q8—362no—
616Q8—362no—
617Q8—362no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—31no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—61no—
628C2×C4—61no—
629C2×C4—91no—
630C2×C4—91no—
631C2×C4—122no—
632C2×C4—122no—
633C2×C4—182no—
634C2×C4—182no—
635C2×C4—181no—
636C2×C4—181no—
637C2×C4—362no—
638C2×C4—362no—
639C2×C4C22×D3211yescharacteristic
640C8—32no—
641C8—32no—
642C8—92no—
643C8D3×Dic612yescomplemented
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—34no—
648C2×C3C2×#88811yescharacteristic
649C2×C3D3×C4⋊Q811yescharacteristic
650C2×C3C2×#91411yescharacteristic
651C2×C3C2×#91511yescharacteristic
652C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
653C2×C3D3×#13711yescharacteristic
654D3#485614yesdirect product factor
655C22—32no—
656C22—32no—
657C22—32no—
658C22D32×D411yescharacteristic
659C4—32no—
660C4—41no—
661C4—41no—
662C4—61no—
663C4—61no—
664C4—121no—
665C4—121no—
666C4—121no—
667C4—121no—
668C4—181no—
669C4—181no—
670C4—361no—
671C4—361no—
672C4C2×D3×Dic611yescharacteristic
673C4D32×Q811yescharacteristic
674C3—21no—
675C3C2×#485611yescharacteristic, complemented
676C3D3×#50111yescharacteristic, complemented
677C2—34no—
678C2D3×#88811yescharacteristic
679C2D3×#91411yescharacteristic
680C2D3×#91511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC22×C3×D3C2×D4
hypercenter#106D32
hypocenterC32C2×#501
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
3. #10592555C2semidirect
5. C3×#4856C2semidirect
6. #10590903C2semidirect
7. #10590892C2semidirect
12. #10590564C2semidirect
13. #10590546C2semidirect
14. #10590421C2semidirect
15. #10590419C2semidirect
89. #4856D3direct (N × H)
126. C3×D3×C8Q8semidirect
137. D3×C3⋊C8Q8semidirect
259. C32×C8C2×Q8semidirect
260. C3⋊(C3⋊C8)C2×Q8semidirect
261. C3×C3⋊C8C2×Q8semidirect
262. C3×C3⋊C8C2×Q8semidirect
380. D3×C8Dic6semidirect
508. C3×C8C2×Dic6semidirect
509. C3×C8D3×Q8semidirect
513. C3⋊C8C2×Dic6semidirect
514. C3⋊C8D3×Q8semidirect
518. C3×D3#501semidirect
612. C32C2×#501semidirect
643. C8D3×Dic6semidirect
654. D3#4856direct (N × H)
675. C3C2×#4856semidirect
676. C3D3×#501semidirect

Maximal subgroups

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

subgroupindex
D3×#8902
D3×#8882
#105925552
C3×D3×#1062
C3×#48562
#105909032
#105908922
D3×#8182
D3×#8152
D3×#8082
D3×#8072
#105905642
#105905462
#105904212
#105904192
D3×#5013
C2×#48563