Finite Group Databasebeta

← D3×#2851 #11001052

Subgroups — D3×#2851 #11001052

Order 768.

3182 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#125C211yesmaximal, characteristic, complemented
2C22×C42×D3C211yesmaximal, characteristic
3C3×#2851C211yesmaximal, characteristic, complemented
4#83072C211yesmaximal, characteristic, complemented
5#82074C211yesmaximal, characteristic, complemented
6#76285C212yesmaximal, complemented
7D3×#389C212yesmaximal, complemented
8#75445C214yesmaximal, complemented
9D3×#387C214yesmaximal, complemented
10D3×#385C214yesmaximal
11#74586C214yesmaximal, complemented
12#74257C211yesmaximal, characteristic, complemented
13D3×#382C211yesmaximal, characteristic, complemented
14D3×#380C212yesmaximal
15#73998C212yesmaximal, complemented
16C2×#2851—31nomaximal, Sylow
17C23×C4×D3C2212yes—
18C23×C4×D3C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic, complemented
20C22×C3×C42C2211yescharacteristic
21C22×C4×Dic3C2211yescharacteristic
22C22×C4×Dic3C2212yes—
23D3×#125—28no—
24C2×D3×C4⋊C4C2212yes—
25C2×D3×C4⋊C4C2212yes—
26C2×D3×C4⋊C4C2214yes—
27C2×D3×C4⋊C4C2214yes—
28C2×#890C2212yescomplemented
29C2×#889C2214yescomplemented
30C2×D3×C22⋊C4C2214yes—
31C2×C42×D3—28no—
32C2×C42×D3C2211yescharacteristic
33C2×C42×D3C2212yes—
34C2×C42×D3C2211yescharacteristic
35C2×C42×D3C2212yes—
36C2×C42×D3C2211yescharacteristic
37C2×C42×D3C2211yescharacteristic
38C2×#870C2211yescharacteristic, complemented
39C3×#389C2212yescomplemented
40C3×#387C2214yescomplemented
41C3×#385C2214yes—
42C3×#382C2211yescharacteristic, complemented
43C3×#380C2212yes—
44#5212C2212yes—
45#5210C2214yes—
46#4989C2214yes—
47#4989C2214yes—
48#4987C2212yes—
49#4987C2212yes—
50#4984C2212yescomplemented
51#4980C2214yescomplemented
52#4978C2214yescomplemented
53#4977C2212yescomplemented
54#4976C2214yescomplemented
55#4972C2212yescomplemented
56#4950C2214yes—
57#4946C2214yes—
58#4942C2214yes—
59#4936C2211yescharacteristic, complemented
60#4933C2214yescomplemented
61#4928C2212yescomplemented
62#4668C2214yes—
63#4668C2214yes—
64#4667C2214yes—
65D3×#95C2214yes—
66D3×#95C2214yes—
67D3×#95C2214yes—
68#4655C2214yescomplemented
69#4654C2214yescomplemented
70#4653C2214yescomplemented
71#4652C2214yescomplemented
72#4650C2214yescomplemented
73#4647C2214yescomplemented
74C22×#125—31no—
75C23×C42—31no—
76#2851—31no—
77#2851—32no—
78#2851—34no—
79#2851—34no—
80#2851—31no—
81#2851—32no—
82#2851—31no—
83#2851D311yescharacteristic, direct product factor
84C2×#389—32no—
85C2×#387—34no—
86C2×#385—34no—
87C2×#382—31no—
88C2×#380—32no—
89C24×D3C2311yescharacteristic
90C23×C3×C4C2312yes—
91C23×C3×C4C2311yescharacteristic
92C23×Dic3C2312yes—
93C23×Dic3C2311yescharacteristic
94C22×C4×D3—28no—
95C22×C4×D3—28no—
96C22×C4×D3—24no—
97C22×C4×D3—28no—
98C22×C4×D3—24no—
99C22×C4×D3Q818yes—
100C22×C4×D3C2314yes—
101C22×C4×D3C2314yes—
102C22×C4×D3C2312yes—
103C22×C4×D3C2312yes—
104C22×C4×D3C2312yes—
105C22×C4×D3C2311yescharacteristic
106C22×C4×D3C2311yescharacteristic
107C22×C4×D3C2311yescharacteristic
108C22×C4×D3C2312yes—
109C22×C4×D3C2311yescharacteristic
110C3×#125—24no—
111C2×C3×C4⋊C4C2312yes—
112C2×C3×C4⋊C4C2314yes—
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2314yes—
115C2×C3×C22⋊C4C2314yes—
116C2×C3×C42—24no—
117C2×C3×C42C2311yescharacteristic
118C2×C3×C42C2312yes—
119C2×C3×C42C2311yescharacteristic
120C2×#217C2314yes—
121C2×(C2×D3)⋊C4C2314yes—
122C2×(C2×D3)⋊C4C2314yes—
123C2×C4⋊Dic3C2314yes—
124C2×C4⋊Dic3C2314yes—
125C2×C4⋊Dic3C2312yes—
126C2×C4⋊Dic3C2312yes—
127C2×Dic3⋊C4C2314yes—
128C2×Dic3⋊C4C2314yes—
129C2×Dic3⋊C4C2314yes—
130C2×Dic3⋊C4C2314yes—
131C2×Dic3⋊C4C2314yes—
132C2×Dic3⋊C4C2314yes—
133C2×C4×Dic3—28no—
134C2×C4×Dic3—24no—
135C2×C4×Dic3C2312yes—
136C2×C4×Dic3C2312yes—
137C2×C4×Dic3C2312yes—
138C2×C4×Dic3C2312yes—
139C2×C4×Dic3C2311yescharacteristic
140C2×C4×Dic3C2312yes—
141C2×C4×Dic3C2311yescharacteristic
142D3×C4⋊C4—216no—
143D3×C4⋊C4—28no—
144D3×C4⋊C4—216no—
145D3×C4⋊C4—28no—
146#890—28no—
147#889—216no—
148D3×C22⋊C4—216no—
149C42×D3—28no—
150C42×D3—24no—
151C42×D3—24no—
152C42×D3—28no—
153C42×D3—24no—
154C42×D3D418yes—
155#870—24no—
156C3×#95C2314yes—
157C3×#95C2314yes—
158C3×#95C2314yes—
159C3⋊#95C2314yes—
160C3⋊#95C2314yes—
161C3⋊#95C2314yes—
162C3⋊#95C2314yes—
163C3⋊#95C2314yes—
164C3⋊#95C2314yes—
165C3⋊#95C2314yes—
166C3⋊#95C2314yes—
167C3⋊#95C2314yes—
168C24×C4—31no—
169C24×C4—32no—
170C2×#125—34no—
171C2×#125—32no—
172C2×#125—31no—
173C2×#125—68no—
174C2×#125C2×D311yescharacteristic, complemented
175C22×C4⋊C4—32no—
176C22×C4⋊C4—34no—
177C22×C4⋊C4—32no—
178C22×C4⋊C4—34no—
179C22×C22⋊C4—34no—
180C22×C42—31no—
181C22×C42—32no—
182C22×C42—31no—
183C22×C42—31no—
184C22×C42—32no—
185C22×C42—31no—
186C22×C42—32no—
187C22×C42—31no—
188C22×C42—68no—
189C22×C42C2×D311yescharacteristic
190#389—32no—
191#389—34no—
192#389—32no—
193#389—32no—
194#389—34no—
195#389C2×D312yescomplemented
196#387—34no—
197#387—34no—
198#387—34no—
199#387—34no—
200#387—34no—
201#387—34no—
202#387—34no—
203#387C2×D314yescomplemented
204#385—34no—
205#385—34no—
206#385—34no—
207#385—34no—
208#385—34no—
209#385—34no—
210#385—34no—
211#385C2×D314yes—
212#382—32no—
213#382—31no—
214#382—34no—
215#382C2×D311yescharacteristic, complemented
216#380—32no—
217#380—32no—
218#380—32no—
219#380—34no—
220#380—34no—
221#380C2×D312yes—
222C2×#95—34no—
223C2×#95—34no—
224C2×#95—34no—
225C24×C3C2411yescharacteristic
226C23×D3—22no—
227C23×D3—22no—
228C23×D3—24no—
229C23×D3C2×Q814yes—
230C23×D3#4118yes—
231C23×D3C2411yescharacteristic
232C23×D3C2411yescharacteristic
233C22×C3×C4—24no—
234C22×C3×C4—24no—
235C22×C3×C4—22no—
236C22×C3×C4—24no—
237C22×C3×C4—22no—
238C22×C3×C4C2×Q814yes—
239C22×C3×C4C2414yes—
240C22×C3×C4C2414yes—
241C22×C3×C4C2412yes—
242C22×C3×C4C2411yescharacteristic
243C22×C3×C4C2412yes—
244C22×C3×C4C2411yescharacteristic
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—22no—
248C22×Dic3—24no—
249C22×Dic3—22no—
250C22×Dic3C2×Q814yes—
251C22×Dic3C2414yes—
252C22×Dic3C2414yes—
253C22×Dic3C2412yes—
254C22×Dic3C2411yescharacteristic
255C22×Dic3C2412yes—
256C22×Dic3C2411yescharacteristic
257C2×C4×D3—264no—
258C2×C4×D3—22no—
259C2×C4×D3—24no—
260C2×C4×D3—24no—
261C2×C4×D3—24no—
262C2×C4×D3—22no—
263C2×C4×D3—24no—
264C2×C4×D3—24no—
265C2×C4×D3—24no—
266C2×C4×D3—24no—
267C2×C4×D3—22no—
268C2×C4×D3—24no—
269C2×C4×D3—22no—
270C2×C4×D3—24no—
271C2×C4×D3—22no—
272C2×C4×D3—24no—
273C2×C4×D3—22no—
274C2×C4×D3—232no—
275C2×C4×D3—28no—
276C2×C4×D3—28no—
277C2×C4×D3—28no—
278C2×C4×D3—28no—
279C2×C4×D3—28no—
280C2×C4×D3—28no—
281C2×C4×D3C2×D418yes—
282C2×C4×D3C2×D414yes—
283C2×C4×D3C2×Q814yes—
284C2×C4×D3C2×Q814yes—
285C2×C4×D3C2×Q814yes—
286C2×C4×D3C2×Q814yes—
287C2×C4×D3#4118yes—
288C2×C4×D3#4114yes—
289C3×C4⋊C4—28no—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—24no—
292C3×C4⋊C4—28no—
293C3×C22⋊C4—28no—
294C3×C42—24no—
295C3×C42—22no—
296C3×C42C2×D414yes—
297#217—28no—
298(C2×D3)⋊C4—28no—
299(C2×D3)⋊C4—28no—
300C4⋊Dic3—24no—
301C4⋊Dic3—24no—
302C4⋊Dic3—28no—
303C4⋊Dic3—28no—
304Dic3⋊C4—28no—
305Dic3⋊C4—28no—
306Dic3⋊C4—28no—
307Dic3⋊C4—28no—
308Dic3⋊C4—28no—
309Dic3⋊C4—28no—
310C4×Dic3—24no—
311C4×Dic3—22no—
312C4×Dic3—24no—
313C4×Dic3—24no—
314C4×Dic3—24no—
315C4×Dic3C2×D418yes—
316C4×Dic3C2×D414yes—
317C25—31no—
318C23×C4—31no—
319C23×C4—31no—
320C23×C4—38no—
321C23×C4—32no—
322C23×C4—32no—
323C23×C4—31no—
324C23×C4—31no—
325C23×C4—31no—
326C23×C4—32no—
327C23×C4—34no—
328C23×C4—34no—
329C23×C4—32no—
330C23×C4—32no—
331C23×C4—64no—
332C23×C4—68no—
333C23×C4—64no—
334C23×C4—68no—
335C23×C4—68no—
336C23×C4C22×D312yes—
337C23×C4C22×D311yescharacteristic
338#125—24no—
339#125—616no—
340#125—68no—
341#125—64no—
342C2×C4⋊C4—34no—
343C2×C4⋊C4—32no—
344C2×C4⋊C4—34no—
345C2×C4⋊C4—34no—
346C2×C4⋊C4—34no—
347C2×C4⋊C4—34no—
348C2×C4⋊C4—32no—
349C2×C4⋊C4—34no—
350C2×C4⋊C4—34no—
351C2×C4⋊C4—34no—
352C2×C4⋊C4—68no—
353C2×C4⋊C4—616no—
354C2×C4⋊C4—68no—
355C2×C4⋊C4—616no—
356C2×C4⋊C4C22×D312yes—
357C2×C4⋊C4C22×D314yes—
358C2×C4⋊C4C22×D312yes—
359C2×C4⋊C4C22×D314yes—
360C2×C22⋊C4—34no—
361C2×C22⋊C4—34no—
362C2×C22⋊C4—34no—
363C2×C22⋊C4—616no—
364C2×C22⋊C4C22×D314yes—
365C2×C42—24no—
366C2×C42—32no—
367C2×C42—31no—
368C2×C42—38no—
369C2×C42—32no—
370C2×C42—32no—
371C2×C42—32no—
372C2×C42—32no—
373C2×C42—31no—
374C2×C42—68no—
375C2×C42—64no—
376C2×C42—64no—
377C2×C42—68no—
378C2×C42—68no—
379C2×C42—64no—
380C2×C42—64no—
381C2×C42C22×D312yes—
382C2×C42C22×D311yescharacteristic
383C2×C42C22×D311yescharacteristic
384#95—34no—
385#95—34no—
386#95—34no—
387#95—34no—
388#95—34no—
389#95—34no—
390#95—34no—
391#95—34no—
392#95—34no—
393#95C22×D314yes—
394#95C22×D314yes—
395#95C22×D314yes—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—22no—
399C23×C3C22×Q812yes—
400C23×C3C2×#4114yes—
401C23×C3C2511yescharacteristic
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—22no—
405C22×D3—28no—
406C22×D3—216no—
407C22×D3—216no—
408C22×D3—28no—
409C22×D3#125116yescomplemented
410C22×D3C22×D412yes—
411C22×D3C22×Q812yes—
412C22×D3C22×Q812yes—
413C22×D3C2×#4114yes—
414C22×D3C2×#4112yes—
415C22×D3C2×#4114yes—
416C22×D3C2×#4114yes—
417C2×C3×C4—216no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—28no—
425C2×C3×C4—24no—
426C2×C3×C4—24no—
427C2×C3×C4—24no—
428C2×C3×C4—24no—
429C2×C3×C4—24no—
430C2×C3×C4—24no—
431C2×C3×C4C22×D414yes—
432C2×C3×C4C22×D412yes—
433C2×C3×C4C22×Q812yes—
434C2×C3×C4C22×Q812yes—
435C2×C3×C4C2×#4114yes—
436C2×C3×C4C2×#4112yes—
437C2×Dic3—216no—
438C2×Dic3—21no—
439C2×Dic3—22no—
440C2×Dic3—21no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—28no—
445C2×Dic3—24no—
446C2×Dic3—24no—
447C2×Dic3—24no—
448C2×Dic3—24no—
449C2×Dic3—24no—
450C2×Dic3—24no—
451C2×Dic3C22×D414yes—
452C2×Dic3C22×D412yes—
453C2×Dic3C22×Q812yes—
454C2×Dic3C22×Q812yes—
455C2×Dic3C2×#4114yes—
456C2×Dic3C2×#4112yes—
457C4×D3—216no—
458C4×D3—216no—
459C4×D3—28no—
460C4×D3—216no—
461C4×D3—216no—
462C4×D3—28no—
463C4×D3—28no—
464C4×D3—416no—
465C4×D3—416no—
466C4×D3C22⋊Q8116yes—
467C24—31no—
468C24—34no—
469C24—38no—
470C24—31no—
471C24—62no—
472C24—64no—
473C24—62no—
474C24C23×D311yescharacteristic
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—31no—
481C22×C4—34no—
482C22×C4—34no—
483C22×C4—34no—
484C22×C4—34no—
485C22×C4—31no—
486C22×C4—32no—
487C22×C4—32no—
488C22×C4—38no—
489C22×C4—34no—
490C22×C4—34no—
491C22×C4—34no—
492C22×C4—38no—
493C22×C4—34no—
494C22×C4—34no—
495C22×C4—62no—
496C22×C4—64no—
497C22×C4—62no—
498C22×C4—64no—
499C22×C4—632no—
500C22×C4—64no—
501C22×C4—62no—
502C22×C4—64no—
503C22×C4—62no—
504C22×C4—64no—
505C22×C4—64no—
506C22×C4—64no—
507C22×C4—64no—
508C22×C4—664no—
509C22×C4—68no—
510C22×C4—68no—
511C22×C4—68no—
512C22×C4—68no—
513C22×C4—68no—
514C22×C4—68no—
515C22×C4—62no—
516C22×C4—64no—
517C22×C4—62no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—64no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4D3×Q814yes—
525C22×C4C23×D314yes—
526C22×C4C23×D314yes—
527C22×C4C23×D312yes—
528C22×C4C23×D311yescharacteristic
529C22×C4C23×D312yes—
530C22×C4C23×D311yescharacteristic
531C4⋊C4—28no—
532C4⋊C4—24no—
533C4⋊C4—28no—
534C4⋊C4—24no—
535C4⋊C4—68no—
536C4⋊C4—68no—
537C4⋊C4—68no—
538C4⋊C4—68no—
539C4⋊C4—68no—
540C4⋊C4—68no—
541C4⋊C4—68no—
542C4⋊C4—64no—
543C4⋊C4—68no—
544C4⋊C4—64no—
545C22⋊C4—28no—
546C22⋊C4—68no—
547C22⋊C4—68no—
548C22⋊C4—68no—
549C42—24no—
550C42—22no—
551C42—38no—
552C42—34no—
553C42—64no—
554C42—64no—
555C42—64no—
556C42—64no—
557C42—62no—
558C42D3×D414yes—
559C22×C3—22no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—22no—
563C22×C3C2×#12514yescomplemented
564C22×C3C23×D411yescharacteristic
565C22×C3C23×Q811yescharacteristic
566C22×C3C22×#4111yescharacteristic
567C22×C3C22×#4112yes—
568C22×C3C22×#4112yes—
569C2×D3—22no—
570C2×D3—24no—
571C2×D3—24no—
572C2×D3—22no—
573C2×D3—232no—
574C2×D3C2×C22⋊Q814yes—
575C2×D3#52518yes—
576C2×D3C2×#12514yes—
577C2×D3C2×#12514yescomplemented
578C2×D3#52918yes—
579C2×D3#53314yes—
580C3×C4—22no—
581C3×C4—24no—
582C3×C4—24no—
583C3×C4—44no—
584C3×C4—44no—
585C3×C4C2×C22⋊Q814yes—
586Dic3—22no—
587Dic3—24no—
588Dic3—24no—
589Dic3—44no—
590Dic3—44no—
591Dic3C2×C22⋊Q814yes—
592C23—21no—
593C23—22no—
594C23—21no—
595C23—32no—
596C23—32no—
597C23—34no—
598C23—32no—
599C23—34no—
600C23—316no—
601C23—32no—
602C23—34no—
603C23—616no—
604C23—68no—
605C23—68no—
606C23—616no—
607C23—61no—
608C23—62no—
609C23—61no—
610C23C2×D3×Q812yes—
611C23D3×#4114yes—
612C23C24×D311yescharacteristic
613C2×C4—216no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—28no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—32no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—316no—
631C2×C4—34no—
632C2×C4—32no—
633C2×C4—34no—
634C2×C4—68no—
635C2×C4—616no—
636C2×C4—616no—
637C2×C4—68no—
638C2×C4—616no—
639C2×C4—616no—
640C2×C4—68no—
641C2×C4—616no—
642C2×C4—62no—
643C2×C4—61no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—61no—
648C2×C4—68no—
649C2×C4—64no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—64no—
653C2×C4—64no—
654C2×C4—64no—
655C2×C4—1216no—
656C2×C4—1216no—
657C2×C4C2×D3×D414yes—
658C2×C4C2×D3×D412yes—
659C2×C4C2×D3×Q812yes—
660C2×C4C2×D3×Q812yes—
661C2×C4D3×#4114yes—
662C2×C4D3×#4112yes—
663C2×C3—24no—
664C2×C3C22×C22⋊Q811yescharacteristic
665C2×C3C2×#52512yes—
666C2×C3C22×#12511yescharacteristic
667C2×C3C2×#52912yes—
668C2×C3C2×#53311yescharacteristic
669D3—24no—
670D3#285118yesdirect product factor
671C22—22no—
672C22—24no—
673C22—24no—
674C22—22no—
675C22—34no—
676C22—38no—
677C22—34no—
678C22—38no—
679C22—34no—
680C22—34no—
681C22—632no—
682C22—62no—
683C22—64no—
684C22—64no—
685C22—62no—
686C22D3×#12514yescomplemented
687C22C22×D3×D411yescharacteristic
688C22C22×D3×Q811yescharacteristic
689C22C2×D3×#4112yes—
690C22C2×D3×#4112yes—
691C22C2×D3×#4111yescharacteristic
692C4—24no—
693C4—24no—
694C4—22no—
695C4—34no—
696C4—44no—
697C4—44no—
698C4—64no—
699C4—64no—
700C4—62no—
701C4—124no—
702C4—124no—
703C4D3×C22⋊Q814yes—
704C3C2×#285111yescharacteristic, complemented, Sylow
705C2—24no—
706C2—38no—
707C2—64no—
708C2C2×D3×C22⋊Q811yescharacteristic
709C2D3×#52512yes—
710C2C2×D3×#12511yescharacteristic
711C2D3×#52912yes—
712C2D3×#53311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2851C2
prime radicalC24×D3C23
hypercenter#2851D3
hypocenterC3C2×#2851
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×D3×#125C2semidirect
3. C3×#2851C2semidirect
4. #83072C2semidirect
5. #82074C2semidirect
6. #76285C2semidirect
7. D3×#389C2semidirect
8. #75445C2semidirect
9. D3×#387C2semidirect
11. #74586C2semidirect
12. #74257C2semidirect
13. D3×#382C2semidirect
15. #73998C2semidirect
19. C2×C3×#125C22semidirect
28. C2×#890C22semidirect
29. C2×#889C22semidirect
38. C2×#870C22semidirect
39. C3×#389C22semidirect
40. C3×#387C22semidirect
42. C3×#382C22semidirect
50. #4984C22semidirect
51. #4980C22semidirect
52. #4978C22semidirect
53. #4977C22semidirect
54. #4976C22semidirect
55. #4972C22semidirect
59. #4936C22semidirect
60. #4933C22semidirect
61. #4928C22semidirect
68. #4655C22semidirect
69. #4654C22semidirect
70. #4653C22semidirect
71. #4652C22semidirect
72. #4650C22semidirect
73. #4647C22semidirect
83. #2851D3direct (N × H)
174. C2×#125C2×D3semidirect
195. #389C2×D3semidirect
203. #387C2×D3semidirect
215. #382C2×D3semidirect
409. C22×D3#125semidirect
563. C22×C3C2×#125semidirect
577. C2×D3C2×#125semidirect
670. D3#2851direct (N × H)
686. C22D3×#125semidirect
704. C3C2×#2851semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1252
C22×C42×D32
C3×#28512
#830722
#820742
#762852
D3×#3892
#754452
D3×#3872
D3×#3852
#745862
#742572
D3×#3822
D3×#3802
#739982
C2×#28513