Finite Group Databasebeta

← D3×#5228 #11863661

Subgroups — D3×#5228 #11863661

Order 1152.

1554 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×Q8C211yesmaximal, characteristic
2C2×D3×#216C212yesmaximal, complemented
3D3×#924C211yesmaximal, characteristic
4#10592927C211yesmaximal, characteristic, complemented
5C3×#5228C211yesmaximal, characteristic, complemented
6#10591595C212yesmaximal, complemented
7#10591594C212yesmaximal, complemented
8D3×#835C212yesmaximal, complemented
9#10591186C211yesmaximal, characteristic, complemented
10#10591185C211yesmaximal, characteristic, complemented
11D3×#830C211yesmaximal, characteristic
12C2×#5228—31nomaximal
13D3×#451—31nomaximal
14C22×C32×Q8C2211yescharacteristic
15C2×C3×D3×Q8—28no—
16C2×C3×D3×Q8—21no—
17C2×C3×D3×Q8—21no—
18C2×C3×D3×Q8C2212yes—
19C2×C3×D3×Q8C2212yes—
20C22×C3×C4×D3—21no—
21C22×C3×C4×D3C2211yescharacteristic
22C22×C3×Dic6—21no—
23C22×C3×Dic6C2211yescharacteristic
24C2×D3×Dic6C2211yescharacteristic
25C2×#3756C2212yescomplemented
26#64133C2211yescharacteristic
27C2×C3×#216C2212yescomplemented
28C3×#924C2211yescharacteristic
29D3×#217—21no—
30#63964—21no—
31D3×#216—28no—
32D3×C4⋊Dic3C2211yescharacteristic
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic
35#63856C2211yescharacteristic
36#63851—21no—
37C2×#3719C2212yescomplemented
38C2×#3718C2212yescomplemented
39C2×D3×C3⋊C8C2212yes—
40#63662C2212yescomplemented
41#63657C2211yescharacteristic
42C3×#835C2212yescomplemented
43C3×#830C2211yescharacteristic
44#63566C2212yescomplemented
45#63565C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yes—
47C23×C3×Q8—31no—
48C22×D3×Q8D311yescharacteristic
49C22×#216—32no—
50C2×#924—31no—
51C2×D3×Q16—32no—
52D3×C22⋊Q8—31no—
53C3×#451—31no—
54#5228—31no—
55#5228—31no—
56#5228—32no—
57#5228—31no—
58#5228—32no—
59#5228—31no—
60#5228—61no—
61#5228D311yescharacteristic, direct product factor
62C2×#835—32no—
63C2×#830—31no—
64#5186—32no—
65#5050—31no—
66#4809—32no—
67D3×#103—32no—
68#4739—31no—
69D3×C22⋊C8—31no—
70C23×C3×D3D411yescharacteristic
71C2×C32×Q8—24no—
72C2×C32×Q8—21no—
73C2×C32×Q8C2312yes—
74C22×C32×C4—21no—
75C22×C32×C4C2311yescharacteristic
76C2×#634C2311yescharacteristic
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C3×D3×Q8—28no—
80C3×D3×Q8—28no—
81C3×D3×Q8—24no—
82C3×D3×Q8—24no—
83C3×D3×Q8—24no—
84C3×D3×Q8D418yes—
85C2×C3×C4×D3—28no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—24no—
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×C3×Dic6—28no—
94C2×C3×Dic6—21no—
95C2×C3×Dic6—22no—
96C2×C3×Dic6—22no—
97C2×C3×Dic6—24no—
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2312yes—
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103D3×Dic6—24no—
104#3757—21no—
105#3756—24no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#216—24no—
111C3×C4⋊Dic3C2311yescharacteristic
112C3×Dic3⋊C4—21no—
113C2×C3×C3⋊C8C2312yes—
114#3724—21no—
115Dic3⋊Dic3—21no—
116Dic3⋊Dic3—21no—
117(C2×D3)⋊Dic3—21no—
118(C2×D3)⋊Dic3—21no—
119#3719—24no—
120#3718—24no—
121D3×C3⋊C8—24no—
122C2×#451—91noSylow
123C22×C3×Q8—21no—
124C22×C3×Q8—32no—
125C22×C3×Q8—32no—
126C22×C3×Q8—31no—
127C22×C3×Q8—61no—
128C22×C3×Q8—61no—
129C22×C3×Q8—61no—
130C22×C3×Q8—68no—
131C22×C3×Q8C2×D311yescharacteristic
132C22×C3×Q8C2×D311yescharacteristic
133C23×C3×C4—31no—
134C23×C3×C4—61no—
135C2×D3×Q8—28no—
136C2×D3×Q8—21no—
137C2×D3×Q8—21no—
138C2×D3×Q8—31no—
139C2×D3×Q8C2×D312yes—
140C2×D3×Q8C2×D312yes—
141C22×C4×D3—21no—
142C22×C4×D3C2×D311yescharacteristic
143C22×Dic6—21no—
144C22×Dic6—31no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C3×C22⋊Q8—31no—
148C2×#217—61no—
149#946—31no—
150C2×#216—32no—
151C2×#216—32no—
152C2×#216—32no—
153C2×#216—32no—
154C2×#216—32no—
155C2×#216—62no—
156C2×#216—68no—
157C2×#216C2×D312yescomplemented
158C2×C4⋊Dic3—31no—
159#924—31no—
160#924—31no—
161#924—31no—
162#924—31no—
163#924—61no—
164#924—61no—
165#924—61no—
166#924C2×D311yescharacteristic
167C2×Dic3⋊C4—61no—
168C22×C3⋊C8—32no—
169D3×Q16—68no—
170C2×Dic12—32no—
171C2×D3×C8—32no—
172#897—31no—
173#896—61no—
174D3×C4⋊C4—31no—
175D3×C4⋊C4—61no—
176D3×C22⋊C4—61no—
177#878—61no—
178C3×#103—32no—
179C3×C22⋊C8—31no—
180#835—32no—
181#835—32no—
182#835—32no—
183#835—32no—
184#835—62no—
185#835C2×D312yescomplemented
186#830—31no—
187#830—31no—
188#830—32no—
189#830—61no—
190#830C2×D311yescharacteristic
191(C2×D3)⋊C8—32no—
192#816—32no—
193#810—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3Q1614yescomplemented
198C22×C3×D3C2×D411yescharacteristic
199C22×C3×D3C2×D411yescharacteristic
200C32×Q8—24no—
201C32×Q8—22no—
202C32×Q8C2×D414yes—
203C2×C32×C4—24no—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4C2×D411yescharacteristic
207C2×C32×C4C2411yescharacteristic
208C2×C3⋊Dic3—21no—
209C2×C3⋊Dic3—21no—
210#634—22no—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3C2×D411yescharacteristic
217C2×C3×Dic3C2×D411yescharacteristic
218C3×C4×D3—28no—
219C3×C4×D3—28no—
220C3×C4×D3—22no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3C2×D414yes—
224C3×Dic6—28no—
225C3×Dic6—24no—
226C3×Dic6—22no—
227C3×Dic6—28no—
228C3×Dic6—22no—
229C3×Dic6C2×D414yes—
230#627—42no—
231D3×Dic3—42no—
232D3×Dic3—42no—
233C3⋊(C3⋊C8)—22no—
234C3×C3⋊C8—22no—
235C23×Q8—31no—
236C22×Q16—92no—
237C2×C22⋊Q8—91no—
238#451—31no—
239#451—91no—
240#451—92no—
241#451—91no—
242#451—92no—
243#451—91no—
244C2×#103—92no—
245C2×C22⋊C8—91no—
246C24×C3—31no—
247C23×D3#6711yescharacteristic
248C2×C3×Q8—24no—
249C2×C3×Q8—24no—
250C2×C3×Q8—21no—
251C2×C3×Q8—21no—
252C2×C3×Q8—22no—
253C2×C3×Q8—38no—
254C2×C3×Q8—32no—
255C2×C3×Q8—31no—
256C2×C3×Q8—41no—
257C2×C3×Q8—44no—
258C2×C3×Q8—62no—
259C2×C3×Q8—62no—
260C2×C3×Q8—64no—
261C2×C3×Q8—68no—
262C2×C3×Q8—64no—
263C2×C3×Q8—64no—
264C2×C3×Q8—68no—
265C2×C3×Q8—68no—
266C2×C3×Q8—64no—
267C2×C3×Q8—61no—
268C2×C3×Q8C22×D312yes—
269C2×C3×Q8C22×D312yes—
270C22×C3×C4—21no—
271C22×C3×C4—21no—
272C22×C3×C4—21no—
273C22×C3×C4—31no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—41no—
279C22×C3×C4—64no—
280C22×C3×C4—62no—
281C22×C3×C4—62no—
282C22×C3×C4—68no—
283C22×C3×C4—61no—
284C22×C3×C4C22×D311yescharacteristic
285C22×C3×C4C22×D311yescharacteristic
286C22×Dic3—21no—
287C22×Dic3—61no—
288C22×Dic3—61no—
289C22×Dic3#6711yescharacteristic
290D3×Q8—28no—
291D3×Q8—28no—
292D3×Q8—24no—
293D3×Q8—24no—
294D3×Q8—24no—
295D3×Q8—64no—
296D3×Q8#6718yes—
297C2×C4×D3—28no—
298C2×C4×D3—22no—
299C2×C4×D3—22no—
300C2×C4×D3—24no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3#6711yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6—28no—
308C2×Dic6—21no—
309C2×Dic6—22no—
310C2×Dic6—22no—
311C2×Dic6—24no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6—64no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D312yes—
320C3×Q16—64no—
321C2×C3×C8—32no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—61no—
324C3×C22⋊C4—61no—
325#217—21no—
326#217—61no—
327#217—61no—
328#217—61no—
329#217—61no—
330#217—121no—
331#216—24no—
332#216—64no—
333#216—64no—
334#216—64no—
335#216—64no—
336#216—64no—
337#216—124no—
338(C2×D3)⋊C4—61no—
339(C2×D3)⋊C4—61no—
340C4⋊Dic3—31no—
341C4⋊Dic3—31no—
342C4⋊Dic3—61no—
343C4⋊Dic3—61no—
344C4⋊Dic3—61no—
345C4⋊Dic3C22×D311yescharacteristic
346Dic3⋊C4—21no—
347Dic3⋊C4—61no—
348Dic3⋊C4—61no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—121no—
354C2×C3⋊C8—32no—
355C2×C3⋊C8—32no—
356C2×C3⋊C8—62no—
357C2×C3⋊C8—64no—
358C2×C3⋊C8C22×D312yes—
359Dic12—64no—
360D3×C8—64no—
361C22×C32—21no—
362C22×C32—21no—
363C22×C32C2×Q1612yescomplemented
364C22×C32C22×D411yescharacteristic
365C2×C3×D3—21no—
366C2×C3×D3—21no—
367C2×C3×D3—28no—
368C2×C3×D3#12012yes—
369C2×C3×D3C2×Q1612yes—
370C2×C3×D3C2×Q1612yescomplemented
371C2×C3×D3#13712yes—
372C32×C4—24no—
373C32×C4—21no—
374C32×C4C22×D412yes—
375C3⋊Dic3—41no—
376C3⋊Dic3—41no—
377C3×Dic3—21no—
378C3×Dic3—24no—
379C3×Dic3—41no—
380C3×Dic3—41no—
381C3×Dic3#12012yes—
382C22×Q8—32no—
383C22×Q8—32no—
384C22×Q8—31no—
385C22×Q8—61no—
386C22×Q8—61no—
387C22×Q8—61no—
388C22×Q8—68no—
389C22×Q8—91no—
390C22×Q8D3211yescharacteristic
391C23×C4—31no—
392C23×C4—61no—
393C2×Q16—32no—
394C2×Q16—92no—
395C2×Q16—92no—
396C2×Q16—92no—
397C2×Q16—188no—
398C22×C8—92no—
399C22⋊Q8—31no—
400C22⋊Q8—91no—
401C22⋊Q8—91no—
402C22⋊Q8—91no—
403C22⋊Q8—181no—
404C22⋊Q8—181no—
405C2×C4⋊C4—91no—
406C2×C4⋊C4—181no—
407C2×C22⋊C4—181no—
408#103—32no—
409#103—92no—
410#103—92no—
411#103—92no—
412C22⋊C8—31no—
413C22⋊C8—92no—
414C22⋊C8—91no—
415C23×C3—21no—
416C23×C3—31no—
417C23×C3—34no—
418C23×C3—31no—
419C23×C3—62no—
420C23×C3—62no—
421C23×C3D3×D411yescharacteristic
422C23×C3C2×#6711yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3#21614yescomplemented
426C22×D3C2×#6711yescharacteristic
427C22×D3C2×#6711yescharacteristic
428C3×Q8—24no—
429C3×Q8—24no—
430C3×Q8—22no—
431C3×Q8—22no—
432C3×Q8—24no—
433C3×Q8—34no—
434C3×Q8—42no—
435C3×Q8—44no—
436C3×Q8—68no—
437C3×Q8—68no—
438C3×Q8—64no—
439C3×Q8—62no—
440C3×Q8—62no—
441C3×Q8D3×D414yes—
442C3×Q8C2×#6714yes—
443C2×C3×C4—24no—
444C2×C3×C4—24no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—31no—
452C2×C3×C4—34no—
453C2×C3×C4—31no—
454C2×C3×C4—42no—
455C2×C3×C4—42no—
456C2×C3×C4—44no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—68no—
460C2×C3×C4—68no—
461C2×C3×C4—62no—
462C2×C3×C4—64no—
463C2×C3×C4—62no—
464C2×C3×C4—62no—
465C2×C3×C4—61no—
466C2×C3×C4—61no—
467C2×C3×C4D3×D411yescharacteristic
468C2×C3×C4C2×#6711yescharacteristic
469C2×C3×C4C23×D311yescharacteristic
470C2×C3×C4C23×D311yescharacteristic
471C2×Dic3—24no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—121no—
481C2×Dic3—121no—
482C2×Dic3—122no—
483C2×Dic3—122no—
484C2×Dic3C2×#6711yescharacteristic
485C2×Dic3C2×#6711yescharacteristic
486C4×D3—28no—
487C4×D3—28no—
488C4×D3—22no—
489C4×D3—22no—
490C4×D3—22no—
491C4×D3—122no—
492C4×D3—122no—
493C4×D3C2×#6714yes—
494Dic6—28no—
495Dic6—24no—
496Dic6—22no—
497Dic6—28no—
498Dic6—22no—
499Dic6—62no—
500Dic6—62no—
501Dic6—122no—
502Dic6—122no—
503Dic6—122no—
504Dic6C2×#6714yes—
505C3×C8—62no—
506C3⋊C8—22no—
507C3⋊C8—62no—
508C3⋊C8—62no—
509C3⋊C8—122no—
510C2×C32—22no—
511C2×C32C2×#12011yescharacteristic
512C2×C32C22×Q1611yescharacteristic
513C2×C32C2×#13711yescharacteristic
514C3×D3—22no—
515C3×D3#45114yescomplemented
516C24—31no—
517C2×Q8—24no—
518C2×Q8—21no—
519C2×Q8—38no—
520C2×Q8—32no—
521C2×Q8—31no—
522C2×Q8—62no—
523C2×Q8—62no—
524C2×Q8—64no—
525C2×Q8—68no—
526C2×Q8—64no—
527C2×Q8—64no—
528C2×Q8—68no—
529C2×Q8—68no—
530C2×Q8—64no—
531C2×Q8—61no—
532C2×Q8—91no—
533C2×Q8—181no—
534C2×Q8—184no—
535C2×Q8C2×D3212yes—
536C22×C4—21no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—64no—
543C22×C4—62no—
544C22×C4—62no—
545C22×C4—68no—
546C22×C4—61no—
547C22×C4—181no—
548C22×C4—181no—
549C22×C4C2×D3211yescharacteristic
550Q16—64no—
551Q16—184no—
552Q16—184no—
553Q16—184no—
554C2×C8—32no—
555C2×C8—92no—
556C2×C8—184no—
557C4⋊C4—31no—
558C4⋊C4—61no—
559C4⋊C4—91no—
560C4⋊C4—181no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C22⋊C4—61no—
565C22⋊C4—181no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—22no—
574C22×C3—32no—
575C22×C3—32no—
576C22×C3—32no—
577C22×C3—32no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—68no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3D3×Q1612yescomplemented
584C22×C3C2×#21612yescomplemented
585C22×C3C2×D3×D411yescharacteristic
586C22×C3C22×#6711yescharacteristic
587C2×D3—21no—
588C2×D3—21no—
589C2×D3—28no—
590C2×D3#94212yes—
591C2×D3C2×#21612yes—
592C2×D3C2×#21612yescomplemented
593C2×D3#95312yes—
594C3×C4—24no—
595C3×C4—21no—
596C3×C4—24no—
597C3×C4—21no—
598C3×C4—22no—
599C3×C4—32no—
600C3×C4—41no—
601C3×C4—44no—
602C3×C4—61no—
603C3×C4—64no—
604C3×C4—121no—
605C3×C4—121no—
606C3×C4C2×D3×D412yes—
607C3×C4C22×#6712yes—
608Dic3—21no—
609Dic3—24no—
610Dic3—41no—
611Dic3—41no—
612Dic3—121no—
613Dic3—121no—
614Dic3—121no—
615Dic3—121no—
616Dic3—241no—
617Dic3—241no—
618Dic3#95312yes—
619C32C2×#45111yescharacteristic, complemented, Sylow
620C23—31no—
621C23—31no—
622C23—34no—
623C23—62no—
624C23—62no—
625C23D3×#6711yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—34no—
629Q8—68no—
630Q8—68no—
631Q8—64no—
632Q8—62no—
633Q8—62no—
634Q8—182no—
635Q8—362no—
636Q8D3×#6714yes—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—31no—
641C2×C4—34no—
642C2×C4—31no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—68no—
646C2×C4—68no—
647C2×C4—62no—
648C2×C4—64no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4—362no—
656C2×C4—362no—
657C2×C4D3×#6711yescharacteristic
658C2×C4C22×D3211yescharacteristic
659C8—62no—
660C8—182no—
661C2×C3—22no—
662C2×C3—22no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—34no—
667C2×C3—42no—
668C2×C3—62no—
669C2×C3D3×#12011yescharacteristic
670C2×C3C2×D3×Q1611yescharacteristic
671C2×C3D3×#13711yescharacteristic
672C2×C3C2×#94211yescharacteristic
673C2×C3C22×#21611yescharacteristic
674C2×C3C2×#95311yescharacteristic
675D3—22no—
676D3#522814yesdirect product factor
677C22—21no—
678C22—21no—
679C22—32no—
680C22—32no—
681C22—32no—
682C22—32no—
683C22—68no—
684C22—61no—
685C22—61no—
686C22D3×#21612yescomplemented
687C22C2×D3×#6711yescharacteristic
688C4—24no—
689C4—21no—
690C4—32no—
691C4—61no—
692C4—64no—
693C4—121no—
694C4—121no—
695C4—361no—
696C4—361no—
697C4C2×D3×#6712yes—
698C3—21no—
699C3D3×#45111yescharacteristic, complemented
700C3C2×#522811yescharacteristic, complemented
701C2—22no—
702C2—34no—
703C2—62no—
704C2D3×#94211yescharacteristic
705C2C2×D3×#21611yescharacteristic
706C2D3×#95311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×Q8C22
socleC22×C32C22×D4
prime radicalC23×C3×D3D4
hypercenterC22×Q8D32
hypocenterC32C2×#451
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×D3×#216C2semidirect
4. #10592927C2semidirect
5. C3×#5228C2semidirect
6. #10591595C2semidirect
7. #10591594C2semidirect
8. D3×#835C2semidirect
9. #10591186C2semidirect
10. #10591185C2semidirect
25. C2×#3756C22semidirect
27. C2×C3×#216C22semidirect
37. C2×#3719C22semidirect
38. C2×#3718C22semidirect
40. #63662C22semidirect
42. C3×#835C22semidirect
44. #63566C22semidirect
45. #63565C22semidirect
61. #5228D3direct (N × H)
157. C2×#216C2×D3semidirect
185. #835C2×D3semidirect
197. C22×C3×D3Q16semidirect
363. C22×C32C2×Q16semidirect
370. C2×C3×D3C2×Q16semidirect
425. C22×D3#216semidirect
515. C3×D3#451semidirect
583. C22×C3D3×Q16semidirect
584. C22×C3C2×#216semidirect
592. C2×D3C2×#216semidirect
619. C32C2×#451semidirect
676. D3#5228direct (N × H)
686. C22D3×#216semidirect
699. C3D3×#451semidirect
700. C3C2×#5228semidirect

Maximal subgroups

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

subgroupindex
C22×C3×D3×Q82
C2×D3×#2162
D3×#9242
#105929272
C3×#52282
#105915952
#105915942
D3×#8352
#105911862
#105911852
D3×#8302
C2×#52283
D3×#4513