Finite Group Databasebeta

← C3×#10591583 #13158586

Subgroups — C3×#10591583 #13158586

Order 1728.

936 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×Q8C211yesmaximal, characteristic, complemented
2C2×C32×#215C211yesmaximal, characteristic, complemented
3C3×#63908C211yesmaximal, characteristic
4C2×C3×#3715C211yesmaximal, characteristic, complemented
5C3×#63662C211yesmaximal, characteristic, complemented
6C3×#63566C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C3×#5227—31nomaximal
9C3×#5170—31nomaximal
10#10591583C311yesmaximal, characteristic, direct product factor
11C2×C33×Q8C2211yescharacteristic
12C32×D3×Q8—22no—
13C32×D3×Q8—22no—
14C2×C32×D12C2211yescharacteristic
15C2×C32×C4×D3—21no—
16C2×C32×C4×D3C2211yescharacteristic
17C2×C32×Dic6—21no—
18C2×C32×Dic6C2211yescharacteristic
19C2×C3×#625—21no—
20C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
22C32×#215—22no—
23C2×C32×C3⋊C8C2211yescharacteristic
24C3×(C2×D3)⋊Dic3—21no—
25C3×#3715—22no—
26C22×C32×Q8—31no—
27C2×C3×D3×Q8—21no—
28C2×C3×D3×Q8D311yescharacteristic, complemented
29C2×C3×D3×Q8C2×C311yescharacteristic, complemented
30C2×C32×SD16—31no—
31C2×C3×#215—21no—
32C2×C3×#215—31no—
33C2×C3×#215D311yescharacteristic, complemented
34C2×C3×#215C2×C311yescharacteristic, complemented
35C3×#938—31no—
36C2×C3×#214—31no—
37C3×#930—31no—
38#63908C2×C311yescharacteristic
39C2×#3715C2×C311yescharacteristic, complemented
40#63662C2×C311yescharacteristic, complemented
41C3×#835—31no—
42C3×#835—31no—
43C3×#835—31no—
44C3×#835—61no—
45C3×#830—31no—
46C3×(C2×D3)⋊C8—31no—
47C3×#816—31no—
48#63566C2×C311yescharacteristic, complemented
49(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
50C22×C32×D3—21no—
51C22×C32×D3D411yescharacteristic
52C33×Q8—21no—
53C33×Q8D412yescomplemented
54C2×C33×C4—21no—
55C2×C33×C4C2311yescharacteristic
56C2×C3×C3⋊Dic3—21no—
57C2×C32×Dic3—21no—
58C2×C32×Dic3D411yescharacteristic
59C32×D12—21no—
60C32×D12—21no—
61C32×C4×D3—24no—
62C32×C4×D3—21no—
63C32×C4×D3—21no—
64C32×Dic6—24no—
65C32×Dic6—21no—
66C32×Dic6D412yescomplemented
67C3×#625—42no—
68C3×C3⋊(C3⋊C8)—21no—
69C32×C3⋊C8—21no—
70C3×#448—91no—
71#5227—31no—
72#5170—31no—
73C2×C32×Q8—21no—
74C2×C32×Q8—21no—
75C2×C32×Q8—21no—
76C2×C32×Q8—31no—
77C2×C32×Q8—41no—
78C2×C32×Q8—61no—
79C2×C32×Q8—62no—
80C2×C32×Q8—62no—
81C2×C32×Q8C2×D311yescharacteristic
82C2×C32×Q8C2×D311yescharacteristic
83C2×C32×Q8C22×C311yescharacteristic
84C2×C32×D4—31no—
85C22×C32×C4—31no—
86C22×C32×C4—61no—
87C2×C3×#67—61no—
88C2×C3×#67—61no—
89C3×D3×Q8—24no—
90C3×D3×Q8—24no—
91C3×D3×Q8—22no—
92C3×D3×Q8—22no—
93C3×D3×Q8—22no—
94C3×D3×Q8—22no—
95C2×C3×D12—21no—
96C2×C3×D12C2×D311yescharacteristic
97C2×C3×D12C22×C311yescharacteristic
98C2×C3×C4×D3—22no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2×D311yescharacteristic
103C2×C3×C4×D3C22×C311yescharacteristic
104C2×C3×Dic6—22no—
105C2×C3×Dic6—21no—
106C2×C3×Dic6—21no—
107C2×C3×Dic6—21no—
108C2×C3×Dic6C2×D311yescharacteristic
109C2×C3×Dic6C22×C311yescharacteristic
110C2×#625—21no—
111C32×SD16—62no—
112C2×C32×C8—31no—
113C4⋊(C3⋊Dic3)C22×C311yescharacteristic
114C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
115C3×#217—61no—
116C3×#215—24no—
117C3×#215—22no—
118C3×#215—22no—
119C3×#215—62no—
120C3×#214—62no—
121C3×(C2×D3)⋊C4—61no—
122C3×C4⋊Dic3—31no—
123C3×C4⋊Dic3—31no—
124C3×C4⋊Dic3—61no—
125C2×C3×C3⋊C8—21no—
126C2×C3×C3⋊C8—31no—
127C2×C3×C3⋊C8—31no—
128C2×C3×C3⋊C8—61no—
129C2×C3×C3⋊C8C2×D311yescharacteristic
130C2×C3×C3⋊C8C22×C311yescharacteristic
131(C2×D3)⋊Dic3—21no—
132#3715—22no—
133C22×C33C2×D411yescharacteristic
134C2×C32×D3—21no—
135C2×C32×D3—21no—
136C2×C32×D3—41no—
137C2×C32×D3—41no—
138C2×C32×D3—41no—
139C2×C32×D3SD1612yescomplemented
140C33×C4—22no—
141C33×C4C2×D411yescharacteristic
142C33×C4C2×D411yescharacteristic
143C3×C3⋊Dic3—41no—
144C32×Dic3—21no—
145C32×Dic3—22no—
146C22×C3×Q8—31no—
147C22×C3×Q8—31no—
148C22×C3×Q8—61no—
149C2×D3×Q8C3×D311yescharacteristic, complemented
150C2×C3×SD16—31no—
151C2×C3×SD16—31no—
152C2×C3×SD16—61no—
153C2×C3×SD16—91no—
154C3×#121—91no—
155C2×#215—31no—
156C2×#215C3×D311yescharacteristic, complemented
157#938—31no—
158C2×#214—31no—
159#930—31no—
160C3×#103—91no—
161C3×#103—91no—
162C3×C22⋊C8—91no—
163#835—31no—
164#835—31no—
165#835—31no—
166#835—61no—
167#830—31no—
168(C2×D3)⋊C8—31no—
169#816—31no—
170C23×C32—31no—
171C23×C32—61no—
172C22×C3×D3—21no—
173C22×C3×D3—21no—
174C22×C3×D3—21no—
175C22×C3×D3—41no—
176C22×C3×D3#6711yescharacteristic
177C22×C3×D3C3×D411yescharacteristic
178C32×Q8—21no—
179C32×Q8—22no—
180C32×Q8—21no—
181C32×Q8—21no—
182C32×Q8—22no—
183C32×Q8—22no—
184C32×Q8—22no—
185C32×Q8—32no—
186C32×Q8—42no—
187C32×Q8—41no—
188C32×Q8—41no—
189C32×Q8—42no—
190C32×Q8—64no—
191C32×Q8—61no—
192C32×Q8#6712yescomplemented
193C32×Q8#6712yescomplemented
194C32×Q8C3×D412yescomplemented
195C32×D4—61no—
196C32×D4—61no—
197C2×C32×C4—21no—
198C2×C32×C4—22no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—31no—
205C2×C32×C4—41no—
206C2×C32×C4—41no—
207C2×C32×C4—41no—
208C2×C32×C4—42no—
209C2×C32×C4—64no—
210C2×C32×C4—61no—
211C2×C32×C4—61no—
212C2×C32×C4—61no—
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D311yescharacteristic
215C2×C32×C4C23×C311yescharacteristic
216C2×C3⋊Dic3—21no—
217C3×#67—122no—
218C3×#67—122no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—21no—
223C2×C3×Dic3—61no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—121no—
226C2×C3×Dic3#6711yescharacteristic
227C2×C3×Dic3C3×D411yescharacteristic
228C3×D12—22no—
229C3×D12—21no—
230C3×D12—21no—
231C3×D12—21no—
232C3×D12—21no—
233C3×D12—41no—
234C3×C4×D3—28no—
235C3×C4×D3—24no—
236C3×C4×D3—24no—
237C3×C4×D3—22no—
238C3×C4×D3—22no—
239C3×C4×D3—21no—
240C3×C4×D3—21no—
241C3×C4×D3—21no—
242C3×C4×D3—21no—
243C3×Dic6—28no—
244C3×Dic6—24no—
245C3×Dic6—24no—
246C3×Dic6—22no—
247C3×Dic6—21no—
248C3×Dic6—21no—
249C3×Dic6—22no—
250C3×Dic6#6712yescomplemented
251C3×Dic6C3×D412yescomplemented
252#625—42no—
253C32×C8—61no—
254C3⋊(C3⋊C8)—21no—
255C3×C3⋊C8—22no—
256C3×C3⋊C8—21no—
257C3×C3⋊C8—21no—
258C3×C3⋊C8—61no—
259C3×C3⋊C8—61no—
260C3×C3⋊C8—121no—
261#448—91noSylow
262C2×C33#12011yescharacteristic
263C2×C33C2×SD1611yescharacteristic
264C2×C33#13711yescharacteristic
265C32×D3—22no—
266C32×D3—81no—
267C2×C3×Q8—21no—
268C2×C3×Q8—21no—
269C2×C3×Q8—21no—
270C2×C3×Q8—31no—
271C2×C3×Q8—31no—
272C2×C3×Q8—41no—
273C2×C3×Q8—61no—
274C2×C3×Q8—61no—
275C2×C3×Q8—61no—
276C2×C3×Q8—62no—
277C2×C3×Q8—62no—
278C2×C3×Q8—62no—
279C2×C3×Q8—64no—
280C2×C3×Q8—64no—
281C2×C3×Q8—62no—
282C2×C3×Q8—62no—
283C2×C3×Q8D3211yescharacteristic
284C2×C3×Q8C2×C3×D311yescharacteristic
285C2×C3×Q8C2×C3×D311yescharacteristic
286C2×C3×D4—31no—
287C2×C3×D4—31no—
288C2×C3×D4—61no—
289C2×C3×D4—181no—
290C22×C3×C4—31no—
291C22×C3×C4—31no—
292C22×C3×C4—61no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C22×C3×C4—62no—
296C2×#67—61no—
297C2×#67—61no—
298D3×Q8—22no—
299D3×Q8—22no—
300C2×D12C2×C3×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3C2×C3×D311yescharacteristic
303C2×Dic6—21no—
304C2×Dic6C2×C3×D311yescharacteristic
305C3×SD16—64no—
306C3×SD16—62no—
307C3×SD16—62no—
308C3×SD16—182no—
309C2×C3×C8—31no—
310C2×C3×C8—31no—
311C2×C3×C8—61no—
312C2×C3×C8—91no—
313C3×C4⋊C4—91no—
314C3×C22⋊C4—181no—
315#217—61no—
316#215—22no—
317#215—62no—
318#214—62no—
319(C2×D3)⋊C4—61no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—61no—
323C2×C3⋊C8—31no—
324C2×C3⋊C8—31no—
325C2×C3⋊C8—61no—
326C2×C3⋊C8C2×C3×D311yescharacteristic
327C22×C32—21no—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32—32no—
331C22×C32—41no—
332C22×C32—61no—
333C22×C32—61no—
334C22×C32—121no—
335C22×C32—121no—
336C22×C32—121no—
337C22×C32D3×D411yescharacteristic
338C22×C32C2×#6711yescharacteristic
339C22×C32C2×C3×D411yescharacteristic
340C2×C3×D3—22no—
341C2×C3×D3—22no—
342C2×C3×D3—21no—
343C2×C3×D3—21no—
344C2×C3×D3—21no—
345C2×C3×D3—21no—
346C2×C3×D3—22no—
347C2×C3×D3—42no—
348C2×C3×D3—41no—
349C2×C3×D3—41no—
350C2×C3×D3—41no—
351C2×C3×D3—41no—
352C2×C3×D3—41no—
353C2×C3×D3—41no—
354C2×C3×D3—81no—
355C2×C3×D3—81no—
356C2×C3×D3#21512yescomplemented
357C2×C3×D3C3×SD1612yescomplemented
358C32×C4—22no—
359C32×C4—24no—
360C32×C4—22no—
361C32×C4—22no—
362C32×C4—21no—
363C32×C4—21no—
364C32×C4—21no—
365C32×C4—21no—
366C32×C4—21no—
367C32×C4—21no—
368C32×C4—41no—
369C32×C4—41no—
370C32×C4—42no—
371C32×C4—42no—
372C32×C4—44no—
373C32×C4—61no—
374C32×C4—62no—
375C32×C4D3×D411yescharacteristic
376C32×C4C2×#6711yescharacteristic
377C32×C4C2×#6711yescharacteristic
378C32×C4C2×#6711yescharacteristic
379C32×C4C2×C3×D411yescharacteristic
380C32×C4C2×C3×D411yescharacteristic
381C3⋊Dic3—41no—
382C3×Dic3—22no—
383C3×Dic3—24no—
384C3×Dic3—21no—
385C3×Dic3—22no—
386C3×Dic3—21no—
387C3×Dic3—22no—
388C3×Dic3—121no—
389C3×Dic3—121no—
390C3×Dic3—241no—
391C22×Q8—31no—
392C2×SD16—31no—
393C2×SD16—91no—
394#121—91no—
395#103—91no—
396#103—91no—
397C22⋊C8—91no—
398C33#44811yescharacteristic, complemented, Sylow
399C23×C3—31no—
400C23×C3—31no—
401C23×C3—61no—
402C23×C3—61no—
403C23×C3—61no—
404C23×C3—121no—
405C22×D3—21no—
406C22×D3C3×#6711yescharacteristic
407C3×Q8—22no—
408C3×Q8—21no—
409C3×Q8—21no—
410C3×Q8—21no—
411C3×Q8—22no—
412C3×Q8—22no—
413C3×Q8—22no—
414C3×Q8—32no—
415C3×Q8—32no—
416C3×Q8—41no—
417C3×Q8—41no—
418C3×Q8—42no—
419C3×Q8—42no—
420C3×Q8—62no—
421C3×Q8—68no—
422C3×Q8—64no—
423C3×Q8—64no—
424C3×Q8—62no—
425C3×Q8—61no—
426C3×Q8—61no—
427C3×Q8#62512yescomplemented
428C3×Q8C3×#6712yescomplemented
429C3×Q8C3×#6712yescomplemented
430C3×D4—62no—
431C3×D4—61no—
432C3×D4—61no—
433C3×D4—61no—
434C3×D4—61no—
435C3×D4—121no—
436C3×D4—362no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—31no—
445C2×C3×C4—31no—
446C2×C3×C4—41no—
447C2×C3×C4—41no—
448C2×C3×C4—42no—
449C2×C3×C4—41no—
450C2×C3×C4—61no—
451C2×C3×C4—68no—
452C2×C3×C4—64no—
453C2×C3×C4—64no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—61no—
463C2×C3×C4—181no—
464C2×C3×C4C2×D3211yescharacteristic
465C2×C3×C4C22×C3×D311yescharacteristic
466C2×C3×C4C22×C3×D311yescharacteristic
467#67—122no—
468#67—122no—
469C2×Dic3—21no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—121no—
473C2×Dic3C3×#6711yescharacteristic
474D12—21no—
475D12—21no—
476C4×D3—24no—
477C4×D3—21no—
478C4×D3—21no—
479Dic6—24no—
480Dic6—21no—
481Dic6C3×#6712yescomplemented
482C3×C8—62no—
483C3×C8—61no—
484C3×C8—61no—
485C3×C8—181no—
486C3⋊C8—21no—
487C3⋊C8—61no—
488C3⋊C8—61no—
489C3⋊C8—121no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—21no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—21no—
497C2×C32—21no—
498C2×C32—21no—
499C2×C32—41no—
500C2×C32—41no—
501C2×C32—41no—
502C2×C32—62no—
503C2×C32—241no—
504C2×C32D3×SD1611yescharacteristic
505C2×C32#91511yescharacteristic
506C2×C32#93711yescharacteristic
507C2×C32C2×#21511yescharacteristic
508C2×C32#94211yescharacteristic
509C2×C32#95311yescharacteristic
510C2×C32C3×#12011yescharacteristic
511C2×C32C2×C3×SD1611yescharacteristic
512C2×C32C3×#13711yescharacteristic
513C3×D3—24no—
514C3×D3—22no—
515C3×D3—22no—
516C3×D3—82no—
517C3×D3—81no—
518C3×D3—81no—
519C2×Q8—31no—
520C2×Q8—61no—
521C2×Q8—62no—
522C2×Q8—62no—
523C2×Q8C3×D3211yescharacteristic
524C2×D4—31no—
525C2×D4—181no—
526C22×C4—31no—
527C22×C4—61no—
528SD16—62no—
529SD16—182no—
530C2×C8—31no—
531C2×C8—91no—
532C4⋊C4—91no—
533C22⋊C4—181no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—21no—
537C22×C3—32no—
538C22×C3—32no—
539C22×C3—41no—
540C22×C3—62no—
541C22×C3—62no—
542C22×C3—62no—
543C22×C3—61no—
544C22×C3—61no—
545C22×C3—61no—
546C22×C3—61no—
547C22×C3—122no—
548C22×C3—121no—
549C22×C3—121no—
550C22×C3—121no—
551C22×C3—121no—
552C22×C3—121no—
553C22×C3—121no—
554C22×C3—241no—
555C22×C3—241no—
556C22×C3D3×#6711yescharacteristic
557C22×C3C3×D3×D411yescharacteristic
558C22×C3C2×C3×#6711yescharacteristic
559C2×D3—21no—
560C2×D3—21no—
561C2×D3—41no—
562C2×D3—41no—
563C2×D3—41no—
564C2×D3C3×#21512yescomplemented
565C3×C4—24no—
566C3×C4—22no—
567C3×C4—22no—
568C3×C4—22no—
569C3×C4—21no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—21no—
573C3×C4—21no—
574C3×C4—21no—
575C3×C4—42no—
576C3×C4—42no—
577C3×C4—44no—
578C3×C4—41no—
579C3×C4—41no—
580C3×C4—62no—
581C3×C4—64no—
582C3×C4—61no—
583C3×C4—62no—
584C3×C4—61no—
585C3×C4—62no—
586C3×C4—361no—
587C3×C4C2×#62511yescharacteristic
588C3×C4D3×#6711yescharacteristic
589C3×C4C3×D3×D411yescharacteristic
590C3×C4C2×C3×#6711yescharacteristic
591C3×C4C2×C3×#6711yescharacteristic
592C3×C4C2×C3×#6711yescharacteristic
593Dic3—21no—
594Dic3—22no—
595Dic3—121no—
596Dic3—121no—
597Dic3—241no—
598C32—21no—
599C32—21no—
600C32—21no—
601C32—41no—
602C32#517011yescharacteristic, complemented
603C32#522711yescharacteristic, complemented
604C32C3×#44811yescharacteristic, complemented
605C23—31no—
606C23—61no—
607Q8—21no—
608Q8—32no—
609Q8—64no—
610Q8—61no—
611Q8C3×#62512yescomplemented
612D4—61no—
613D4—61no—
614D4—362no—
615C2×C4—21no—
616C2×C4—31no—
617C2×C4—64no—
618C2×C4—61no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—181no—
622C2×C4C2×C3×D3211yescharacteristic
623C8—61no—
624C8—181no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—41no—
635C2×C3—41no—
636C2×C3—41no—
637C2×C3—64no—
638C2×C3—62no—
639C2×C3—62no—
640C2×C3—242no—
641C2×C3—241no—
642C2×C3—241no—
643C2×C3D3×#21511yescharacteristic
644C2×C3#6394611yescharacteristic
645C2×C3#6397611yescharacteristic
646C2×C3C3×D3×SD1611yescharacteristic
647C2×C3C3×#91511yescharacteristic
648C2×C3C3×#93711yescharacteristic
649C2×C3C2×C3×#21511yescharacteristic
650C2×C3C3×#94211yescharacteristic
651C2×C3C3×#95311yescharacteristic
652D3—22no—
653D3—81no—
654C22—32no—
655C22—61no—
656C22—61no—
657C22—121no—
658C22—121no—
659C22—121no—
660C22C3×D3×#6711yescharacteristic
661C4—22no—
662C4—61no—
663C4—62no—
664C4—361no—
665C4C2×C3×#62511yescharacteristic
666C4C3×D3×#6711yescharacteristic
667C3—21no—
668C3—21no—
669C3—21no—
670C3—41no—
671C3#1059158311yescharacteristic, direct product factor
672C3C3×#517011yescharacteristic, complemented
673C3C3×#522711yescharacteristic, complemented
674C2—62no—
675C2—241no—
676C2C3×D3×#21511yescharacteristic
677C2C3×#6394611yescharacteristic
678C2C3×#6397611yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×Q8C22
socleC22×C33C2×D4
prime radicalC3×#63908C2
hypercenterC2×C3×Q8D32
hypocenterC32C3×#448
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×Q8C2semidirect
2. C2×C32×#215C2semidirect
4. C2×C3×#3715C2semidirect
5. C3×#63662C2semidirect
6. C3×#63566C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
10. #10591583C3direct (N × H)
28. C2×C3×D3×Q8D3semidirect
29. C2×C3×D3×Q8C2×C3semidirect
33. C2×C3×#215D3semidirect
34. C2×C3×#215C2×C3semidirect
39. C2×#3715C2×C3semidirect
40. #63662C2×C3semidirect
48. #63566C2×C3semidirect
49. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
53. C33×Q8D4semidirect
66. C32×Dic6D4semidirect
139. C2×C32×D3SD16semidirect
149. C2×D3×Q8C3×D3semidirect
156. C2×#215C3×D3semidirect
192. C32×Q8#67semidirect
193. C32×Q8#67semidirect
194. C32×Q8C3×D4semidirect
250. C3×Dic6#67semidirect
251. C3×Dic6C3×D4semidirect
356. C2×C3×D3#215semidirect
357. C2×C3×D3C3×SD16semidirect
398. C33#448semidirect
427. C3×Q8#625semidirect
428. C3×Q8C3×#67semidirect
429. C3×Q8C3×#67semidirect
481. Dic6C3×#67semidirect
564. C2×D3C3×#215semidirect
602. C32#5170semidirect
603. C32#5227semidirect
604. C32C3×#448semidirect
611. Q8C3×#625semidirect
671. C3#10591583direct (N × H)
672. C3C3×#5170semidirect
673. C3C3×#5227semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×Q82
C2×C32×#2152
C3×#639082
C2×C3×#37152
C3×#636622
C3×#635662
C3×(C2×D3)⋊(C3⋊C8)2
C3×#52273
C3×#51703
#105915833