Finite Group Databasebeta

← C2×D3×#3719 #13170597

Subgroups — C2×D3×#3719 #13170597

Order 1728.

1346 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#634C211yesmaximal, characteristic
2C2×C3×D3×Dic6C211yesmaximal, characteristic
3C2×#88812C211yesmaximal, characteristic, complemented
4C2×#88800C211yesmaximal, characteristic, complemented
5C2×#88799C211yesmaximal, characteristic, complemented
6C2×C3×#3719C211yesmaximal, characteristic, complemented
7C2×C3×D3×C3⋊C8C211yesmaximal, characteristic
8D3×#3719C218yesmaximal, direct product factor
9C2×D3×#216—31nomaximal
10C22×#3719—31nomaximal
11C2×D3×Dic12—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×#634C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×#6293—21no—
18C2×D3×C3⋊Dic3—21no—
19D3×#634—22no—
20D3×#634C2214yes—
21C2×C3×#627—21no—
22C2×C3×D3×Dic3—21no—
23C3×D3×Dic6—22no—
24C3×D3×Dic6C2214yes—
25C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88812C2214yescomplemented
28#88800C2214yescomplemented
29#88799C2214yescomplemented
30C3×#3719C2214yescomplemented
31C3×D3×C3⋊C8C2214yes—
32C22×#634—31no—
33C2×C3×D3×Q8—31no—
34C22×C3×Dic6—31no—
35C2×D3×Dic6—31no—
36C2×D3×Dic6—31no—
37C2×D3×Dic6—61no—
38C2×D3×Dic6D311yescharacteristic
39C2×#3756—31no—
40C2×#3746—31no—
41C2×C3×#216—31no—
42C22×C3×C3⋊C8—31no—
43C2×C3×Dic12—31no—
44C2×C3×D3×C8—31no—
45D3×#216—38no—
46C2×#3719—31no—
47C2×#3719—31no—
48C2×#3719—31no—
49C2×#3719—31no—
50C2×#3719—31no—
51C2×#3719—31no—
52C2×#3719—38no—
53C2×#3719—61no—
54C2×#3719—61no—
55C2×#3719D311yescharacteristic, direct product factor
56C2×#3718—31no—
57C2×D3×C3⋊C8D311yescharacteristic
58D3×Dic12—38no—
59C22×C32×D3D411yescharacteristic
60C2×C33×C4C2311yescharacteristic
61C2×C3⋊(C3⋊Dic3)—21no—
62#6308—21no—
63#6308C2312yes—
64C2×C3×C3⋊Dic3—21no—
65C2×C3×C3⋊Dic3—21no—
66C3×#634—21no—
67C3×#634—21no—
68C3×#634C2312yes—
69C3×#634C2312yes—
70C2×C32×Dic3—21no—
71C2×C32×Dic3D411yescharacteristic
72C32×C4×D3D412yes—
73C32×C4×D3C2312yes—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76#6293—24no—
77D3×C3⋊Dic3—24no—
78C3×#627—24no—
79C3×D3×Dic3—24no—
80C3×C3⋊(C3⋊C8)C2312yes—
81C32×C3⋊C8C2312yes—
82C22×#216—91no—
83C2×D3×Q16—91no—
84C22×Dic12—91no—
85C2×C32×Q8—31no—
86C22×C32×C4—31no—
87C22×C3⋊Dic3—61no—
88C2×#634—31no—
89C2×#634—31no—
90C2×#634—31no—
91C2×#634—34no—
92C2×#634—62no—
93C2×#634—61no—
94C2×#634—61no—
95C2×#634—61no—
96C2×#634—61no—
97C2×#634—121no—
98C2×#634C2×D311yescharacteristic
99C2×#634C2×D311yescharacteristic
100C22×C3×Dic3—61no—
101C3×D3×Q8—34no—
102C3×D3×Q8—62no—
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3—61no—
105C2×C3×C4×D3C2×D311yescharacteristic
106C2×C3×C4×D3C2×D311yescharacteristic
107C2×C3×Dic6—21no—
108C2×C3×Dic6—31no—
109C2×C3×Dic6—31no—
110C2×C3×Dic6—31no—
111C2×C3×Dic6—31no—
112C2×C3×Dic6—34no—
113C2×C3×Dic6—62no—
114C2×C3×Dic6—61no—
115C2×C3×Dic6—61no—
116C2×C3×Dic6—61no—
117C2×C3×Dic6—61no—
118C2×C3×Dic6C2×D311yescharacteristic
119C2×C3×Dic6C2×D311yescharacteristic
120C2×#627—21no—
121C2×#627—62no—
122C2×#627—61no—
123C2×#627—61no—
124C2×D3×Dic3—21no—
125C2×D3×Dic3—62no—
126C2×D3×Dic3—61no—
127C2×D3×Dic3—61no—
128D3×Dic6—22no—
129D3×Dic6—34no—
130D3×Dic6—34no—
131D3×Dic6—64no—
132D3×Dic6—64no—
133D3×Dic6—62no—
134D3×Dic6—62no—
135D3×Dic6C2×D314yes—
136C2×C32×C8—31no—
137#3756—34no—
138C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
139#3746—34no—
140C3×#216—34no—
141C2×C3×C3⋊C8—21no—
142C2×C3×C3⋊C8—31no—
143C2×C3×C3⋊C8—31no—
144C2×C3×C3⋊C8—34no—
145C2×C3×C3⋊C8—61no—
146C2×C3×C3⋊C8C2×D311yescharacteristic
147C2×C3×C3⋊C8C2×D311yescharacteristic
148C3×Dic12—34no—
149C3×D3×C8—34no—
150#3719—34no—
151#3719—34no—
152#3719—34no—
153#3719—34no—
154#3719—34no—
155#3719—34no—
156#3719—64no—
157#3719—64no—
158#3719C2×D314yesdirect product factor
159#3718—34no—
160D3×C3⋊C8C2×D314yes—
161C22×C33C2×D411yescharacteristic
162C2×C32×D3Q1614yescomplemented
163C2×C32×D3C2×D412yes—
164C33×C4C2×D411yescharacteristic
165C33×C4C2411yescharacteristic
166C3⋊(C3⋊Dic3)—22no—
167C3×C3⋊Dic3—22no—
168C3×C3⋊Dic3—22no—
169C32×Dic3—22no—
170C32×Dic3C2×D412yes—
171C22×C3×Q8—91no—
172C2×D3×Q8—31no—
173C2×D3×Q8—91no—
174C22×Dic6—31no—
175C22×Dic6—91no—
176C22×Dic6—91no—
177C22×Dic6—181no—
178C2×C3×Q16—91no—
179C22×C3×C8—91no—
180C2×#216—31no—
181C2×#216—98no—
182C2×#216—91no—
183C2×#216—91no—
184C2×#216—91no—
185C2×#216—91no—
186C2×#216—91no—
187C2×#216—181no—
188C22×C3⋊C8—31no—
189D3×Q16—98no—
190C2×Dic12—31no—
191C2×Dic12—98no—
192C2×Dic12—91no—
193C2×Dic12—91no—
194C2×Dic12—91no—
195C2×Dic12—91no—
196C2×Dic12—181no—
197C2×D3×C8—31no—
198C23×C32—31no—
199C22×C3×D3—21no—
200C22×C3×D3D1211yescharacteristic
201C22×C3×D3#6711yescharacteristic
202C32×Q8—32no—
203C32×Q8—61no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C32×C4—21no—
207C2×C32×C4—31no—
208C2×C32×C4—32no—
209C2×C32×C4—32no—
210C2×C32×C4—41no—
211C2×C32×C4—61no—
212C2×C32×C4C22×D311yescharacteristic
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D311yescharacteristic
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—21no—
217C2×C3⋊Dic3—64no—
218C2×C3⋊Dic3—61no—
219C2×C3⋊Dic3—62no—
220C2×C3⋊Dic3—61no—
221C2×C3⋊Dic3—61no—
222C2×C3⋊Dic3—121no—
223C2×C3⋊Dic3—121no—
224C2×C3⋊Dic3—122no—
225#634—21no—
226#634—21no—
227#634—32no—
228#634—32no—
229#634—32no—
230#634—62no—
231#634—62no—
232#634—62no—
233#634—64no—
234#634—61no—
235#634—62no—
236#634—61no—
237#634—61no—
238#634—122no—
239#634—121no—
240#634—121no—
241#634—122no—
242#634C22×D312yes—
243#634C22×D312yes—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—41no—
248C2×C3×Dic3—64no—
249C2×C3×Dic3—62no—
250C2×C3×Dic3—61no—
251C2×C3×Dic3—61no—
252C2×C3×Dic3—61no—
253C2×C3×Dic3—61no—
254C2×C3×Dic3—121no—
255C2×C3×Dic3D1211yescharacteristic
256C2×C3×Dic3#6711yescharacteristic
257C3×C4×D3—22no—
258C3×C4×D3—22no—
259C3×C4×D3—64no—
260C3×C4×D3D1212yes—
261C3×C4×D3#6712yes—
262C3×C4×D3C22×D312yes—
263C3×C4×D3C22×D312yes—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—22no—
267C3×Dic6—32no—
268C3×Dic6—32no—
269C3×Dic6—32no—
270C3×Dic6—32no—
271C3×Dic6—41no—
272C3×Dic6—62no—
273C3×Dic6—62no—
274C3×Dic6—64no—
275C3×Dic6—62no—
276C3×Dic6—61no—
277C3×Dic6—61no—
278C3×Dic6—61no—
279C3×Dic6—61no—
280C3×Dic6—64no—
281C3×Dic6—121no—
282C3×Dic6C22×D312yes—
283C3×Dic6C22×D312yes—
284#627—24no—
285#627—68no—
286#627—64no—
287#627—64no—
288D3×Dic3—24no—
289D3×Dic3—68no—
290D3×Dic3—64no—
291D3×Dic3—64no—
292C32×C8—32no—
293C3⋊(C3⋊C8)C22×D312yes—
294C3×C3⋊C8—22no—
295C3×C3⋊C8—32no—
296C3×C3⋊C8—32no—
297C3×C3⋊C8—62no—
298C3×C3⋊C8C22×D312yes—
299C3×C3⋊C8C22×D312yes—
300C22×Q16—271noSylow
301C2×C33C2×Q1612yescomplemented
302C2×C33C22×D411yescharacteristic
303C32×D3C2×Q1614yescomplemented
304C2×C3×Q8—31no—
305C2×C3×Q8—31no—
306C2×C3×Q8—61no—
307C2×C3×Q8—94no—
308C2×C3×Q8—91no—
309C2×C3×Q8—91no—
310C2×C3×Q8—181no—
311C2×C3×Q8—182no—
312C22×C3×C4—31no—
313C22×C3×C4—31no—
314C22×C3×C4—61no—
315C22×C3×C4—181no—
316C22×Dic3—61no—
317C22×Dic3—181no—
318C22×Dic3—181no—
319C22×Dic3—182no—
320D3×Q8—34no—
321D3×Q8—62no—
322D3×Q8—94no—
323D3×Q8—182no—
324C2×C4×D3—61no—
325C2×C4×D3—181no—
326C2×C4×D3D3211yescharacteristic
327C2×Dic6—31no—
328C2×Dic6—31no—
329C2×Dic6—31no—
330C2×Dic6—31no—
331C2×Dic6—34no—
332C2×Dic6—61no—
333C2×Dic6—61no—
334C2×Dic6—62no—
335C2×Dic6—61no—
336C2×Dic6—61no—
337C2×Dic6—94no—
338C2×Dic6—94no—
339C2×Dic6—91no—
340C2×Dic6—91no—
341C2×Dic6—91no—
342C2×Dic6—184no—
343C2×Dic6—181no—
344C2×Dic6—181no—
345C2×Dic6—181no—
346C2×Dic6—182no—
347C2×Dic6—182no—
348C2×Dic6—184no—
349C2×Dic6—181no—
350C2×Dic6—181no—
351C2×Dic6—182no—
352C2×Dic6—181no—
353C2×Dic6—361no—
354C2×Dic6D3211yescharacteristic
355C3×Q16—94no—
356C2×C3×C8—31no—
357C2×C3×C8—31no—
358C2×C3×C8—61no—
359C2×C3×C8—94no—
360C2×C3×C8—91no—
361#216—34no—
362#216—94no—
363#216—94no—
364#216—94no—
365#216—94no—
366#216—94no—
367#216—184no—
368C2×C3⋊C8—31no—
369C2×C3⋊C8—31no—
370C2×C3⋊C8—34no—
371C2×C3⋊C8—61no—
372C2×C3⋊C8D3211yescharacteristic
373Dic12—34no—
374Dic12—94no—
375Dic12—94no—
376Dic12—94no—
377Dic12—94no—
378Dic12—184no—
379D3×C8—34no—
380C22×C32—21no—
381C22×C32—21no—
382C22×C32—21no—
383C22×C32—34no—
384C22×C32—32no—
385C22×C32—41no—
386C22×C32C2×D1211yescharacteristic
387C22×C32D3×D411yescharacteristic
388C22×C32C2×#6711yescharacteristic
389C2×C3×D3—24no—
390C2×C3×D3—22no—
391C2×C3×D3Dic1214yescomplemented
392C2×C3×D3#21614yescomplemented
393C2×C3×D3C2×D1212yes—
394C2×C3×D3C2×#6712yes—
395C32×C4—21no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—21no—
399C32×C4—21no—
400C32×C4—21no—
401C32×C4—32no—
402C32×C4—41no—
403C32×C4—41no—
404C32×C4—62no—
405C32×C4C2×D1211yescharacteristic
406C32×C4D3×D411yescharacteristic
407C32×C4C2×#6711yescharacteristic
408C32×C4C23×D311yescharacteristic
409C32×C4C23×D311yescharacteristic
410C32×C4C23×D311yescharacteristic
411C3⋊Dic3—22no—
412C3⋊Dic3—22no—
413C3⋊Dic3—62no—
414C3⋊Dic3—64no—
415C3⋊Dic3—62no—
416C3⋊Dic3—62no—
417C3⋊Dic3—122no—
418C3⋊Dic3—122no—
419C3⋊Dic3—124no—
420C3×Dic3—22no—
421C3×Dic3—22no—
422C3×Dic3—22no—
423C3×Dic3—42no—
424C3×Dic3—64no—
425C3×Dic3—62no—
426C3×Dic3—62no—
427C3×Dic3—62no—
428C3×Dic3—62no—
429C3×Dic3—122no—
430C3×Dic3C2×D1212yes—
431C3×Dic3C2×#6712yes—
432C22×Q8—91no—
433C22×Q8—271no—
434C2×Q16—91no—
435C2×Q16—271no—
436C2×Q16—278no—
437C2×Q16—271no—
438C2×Q16—271no—
439C22×C8—91no—
440C33C22×Q1611yescharacteristic, complemented, Sylow
441C23×C3—31no—
442C23×C3—31no—
443C23×C3—61no—
444C22×D3#62611yescharacteristic
445C3×Q8—32no—
446C3×Q8—32no—
447C3×Q8—62no—
448C3×Q8—61no—
449C3×Q8—61no—
450C3×Q8—92no—
451C3×Q8—92no—
452C3×Q8—121no—
453C3×Q8—184no—
454C3×Q8—181no—
455C3×Q8—181no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—31no—
460C2×C3×C4—31no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—41no—
466C2×C3×C4—62no—
467C2×C3×C4—62no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—121no—
472C2×C3×C4—184no—
473C2×C3×C4—181no—
474C2×C3×C4—181no—
475C2×C3×C4C2×D3211yescharacteristic
476C2×C3×C4C2×D3211yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×Dic3—21no—
479C2×Dic3—64no—
480C2×Dic3—62no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—121no—
486C2×Dic3—184no—
487C2×Dic3—184no—
488C2×Dic3—188no—
489C2×Dic3—182no—
490C2×Dic3—181no—
491C2×Dic3—181no—
492C2×Dic3—181no—
493C2×Dic3—361no—
494C2×Dic3—361no—
495C2×Dic3—362no—
496C2×Dic3#62611yescharacteristic
497C4×D3—64no—
498C4×D3—184no—
499C4×D3#62612yes—
500C4×D3C2×D3212yes—
501Dic6—21no—
502Dic6—32no—
503Dic6—32no—
504Dic6—32no—
505Dic6—32no—
506Dic6—62no—
507Dic6—62no—
508Dic6—64no—
509Dic6—62no—
510Dic6—61no—
511Dic6—61no—
512Dic6—61no—
513Dic6—61no—
514Dic6—64no—
515Dic6—92no—
516Dic6—92no—
517Dic6—92no—
518Dic6—121no—
519Dic6—182no—
520Dic6—182no—
521Dic6—182no—
522Dic6—184no—
523Dic6—184no—
524Dic6—188no—
525Dic6—182no—
526Dic6—181no—
527Dic6—181no—
528Dic6—181no—
529Dic6—184no—
530Dic6—362no—
531Dic6—361no—
532Dic6—361no—
533Dic6—362no—
534Dic6C2×D3212yes—
535C3×C8—32no—
536C3×C8—32no—
537C3×C8—62no—
538C3×C8—92no—
539C3⋊C8—32no—
540C3⋊C8—32no—
541C3⋊C8—62no—
542C3⋊C8C2×D3212yes—
543C2×C32—21no—
544C2×C32—22no—
545C2×C32—21no—
546C2×C32—21no—
547C2×C32—22no—
548C2×C32—22no—
549C2×C32—34no—
550C2×C32—42no—
551C2×C32—41no—
552C2×C32C2×Dic1212yescomplemented
553C2×C32D3×Q1612yescomplemented
554C2×C32C2×#21612yescomplemented
555C2×C32C22×D1211yescharacteristic
556C2×C32C2×D3×D411yescharacteristic
557C2×C32C22×#6711yescharacteristic
558C3×D3—24no—
559C3×D3C2×Dic1214yescomplemented
560C3×D3C2×#21614yescomplemented
561C2×Q8—31no—
562C2×Q8—94no—
563C2×Q8—91no—
564C2×Q8—91no—
565C2×Q8—181no—
566C2×Q8—182no—
567C2×Q8—274no—
568C2×Q8—271no—
569C2×Q8—541no—
570C2×Q8—542no—
571C22×C4—31no—
572C22×C4—181no—
573C22×C4—541no—
574Q16—94no—
575Q16—274no—
576Q16—274no—
577Q16—274no—
578C2×C8—31no—
579C2×C8—94no—
580C2×C8—91no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—32no—
585C22×C3—34no—
586C22×C3—32no—
587C22×C3—34no—
588C22×C3—41no—
589C22×C3—62no—
590C22×C3—64no—
591C22×C3D3×D1211yescharacteristic
592C22×C3C2×#62611yescharacteristic
593C22×C3D3×#6711yescharacteristic
594C2×D3#371914yesdirect product factor
595C2×D3C2×#62612yes—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—32no—
603C3×C4—32no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—62no—
607C3×C4—62no—
608C3×C4—62no—
609C3×C4—122no—
610C3×C4—182no—
611C3×C4—182no—
612C3×C4D3×D1211yescharacteristic
613C3×C4C2×#62611yescharacteristic
614C3×C4D3×#6711yescharacteristic
615C3×C4C22×D3211yescharacteristic
616C3×C4C22×D3211yescharacteristic
617C3×C4C22×D3211yescharacteristic
618Dic3—22no—
619Dic3—64no—
620Dic3—62no—
621Dic3—62no—
622Dic3—62no—
623Dic3—62no—
624Dic3—122no—
625Dic3—184no—
626Dic3—182no—
627Dic3—182no—
628Dic3—182no—
629Dic3—362no—
630Dic3—362no—
631Dic3—364no—
632Dic3C2×#62612yes—
633C32—21no—
634C32—21no—
635C32—21no—
636C32—41no—
637C32C22×Dic1211yescharacteristic, complemented
638C32C2×D3×Q1611yescharacteristic, complemented
639C32C22×#21611yescharacteristic, complemented
640C23—31no—
641Q8—32no—
642Q8—61no—
643Q8—92no—
644Q8—92no—
645Q8—184no—
646Q8—181no—
647Q8—181no—
648Q8—272no—
649Q8—544no—
650Q8—541no—
651C2×C4—31no—
652C2×C4—32no—
653C2×C4—32no—
654C2×C4—61no—
655C2×C4—184no—
656C2×C4—181no—
657C2×C4—181no—
658C2×C4—544no—
659C2×C4—541no—
660C2×C4D3311yescharacteristic
661C8—32no—
662C8—92no—
663C2×C3—22no—
664C2×C3—22no—
665C2×C3—22no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—34no—
670C2×C3—34no—
671C2×C3—42no—
672C2×C3—41no—
673C2×C3—64no—
674C2×C3D3×Dic1212yescomplemented
675C2×C3C2×#371912yescomplemented
676C2×C3D3×#21612yescomplemented
677C2×C3C2×D3×D1211yescharacteristic
678C2×C3C22×#62611yescharacteristic
679C2×C3C2×D3×#6711yescharacteristic
680D3C2×#371914yesdirect product factor
681C22—34no—
682C22—32no—
683C22D3×#62611yescharacteristic
684C4—32no—
685C4—62no—
686C4—182no—
687C4—182no—
688C4—542no—
689C4D3×#62611yescharacteristic
690C4C2×D3311yescharacteristic
691C3—21no—
692C3—21no—
693C3—21no—
694C3—41no—
695C3C2×D3×Dic1211yescharacteristic, complemented
696C3C22×#371911yescharacteristic, complemented
697C3C2×D3×#21611yescharacteristic, complemented
698C2—34no—
699C2D3×#371912yesdirect product factor
700C2C2×D3×#62611yescharacteristic
subgroupG/H
centerC22D3×#626
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
prime radicalC22×C32×D3D4
hypercenterC2×C4D33
hypocenterC33C22×Q16
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
3. C2×#88812C2semidirect
4. C2×#88800C2semidirect
5. C2×#88799C2semidirect
6. C2×C3×#3719C2semidirect
8. D3×#3719C2direct (N × H)
27. #88812C22semidirect
28. #88800C22semidirect
29. #88799C22semidirect
30. C3×#3719C22semidirect
55. C2×#3719D3direct (N × H)
158. #3719C2×D3direct (N × H)
162. C2×C32×D3Q16semidirect
301. C2×C33C2×Q16semidirect
303. C32×D3C2×Q16semidirect
391. C2×C3×D3Dic12semidirect
392. C2×C3×D3#216semidirect
440. C33C22×Q16semidirect
552. C2×C32C2×Dic12semidirect
553. C2×C32D3×Q16semidirect
554. C2×C32C2×#216semidirect
559. C3×D3C2×Dic12semidirect
560. C3×D3C2×#216semidirect
594. C2×D3#3719direct (N × H)
637. C32C22×Dic12semidirect
638. C32C2×D3×Q16semidirect
639. C32C22×#216semidirect
674. C2×C3D3×Dic12semidirect
675. C2×C3C2×#3719semidirect
676. C2×C3D3×#216semidirect
680. D3C2×#3719direct (N × H)
695. C3C2×D3×Dic12semidirect
696. C3C22×#3719semidirect
697. C3C2×D3×#216semidirect
699. C2D3×#3719direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D3×#6342
C2×C3×D3×Dic62
C2×#888122
C2×#888002
C2×#887992
C2×C3×#37192
C2×C3×D3×C3⋊C82
D3×#37192
C2×D3×#2163
C22×#37193
C2×D3×Dic123