Finite Group Databasebeta

← C3×#10595087 #13174684

Subgroups — C3×#10595087 #13174684

Order 1728.

1312 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64138C211yesmaximal, characteristic, complemented
2C32×C4×#67C212yesmaximal, complemented
3C3×#63983C211yesmaximal, characteristic
4C3×#63969C212yesmaximal, complemented
5C3×#63953C211yesmaximal, characteristic, complemented
6C3×D3×(C2×D3)⋊C4C212yesmaximal, complemented
7C3×#63877C212yesmaximal, complemented
8C3×#63868C212yesmaximal, complemented
9C3×#63851C212yesmaximal, complemented
10C3×#5556—32nomaximal
11#10595087C311yesmaximal, characteristic, direct product factor
12C22×C3×D32C2211yescharacteristic
13C22×C33×C4C2211yescharacteristic, complemented
14C2×C3×#638C2211yescharacteristic
15C2×C32×#67C2212yes—
16C2×C32×C4×D3C2212yes—
17C2×C3×#627C2211yescharacteristic, complemented
18C2×C3×D3×Dic3C2212yes—
19C3×#3757C2211yescharacteristic, complemented
20C3×#3752C2212yes—
21C3×#3750C2212yescomplemented
22C32×#217C2212yescomplemented
23C32×(C2×D3)⋊C4C2212yes—
24C32×Dic3⋊C4C2212yescomplemented
25C32×C4×Dic3C2212yescomplemented
26C3×#3724C2212yescomplemented
27C3×Dic3⋊Dic3C2212yescomplemented
28C3×#3722C2212yes—
29C3×#3722C2211yescharacteristic
30C3×(C2×D3)⋊Dic3C2212yes—
31C3×(C2×D3)⋊Dic3C2212yes—
32C3×Dic32C2211yescharacteristic, complemented
33C32×C4×D4—32no—
34#64138C2×C311yescharacteristic, complemented
35C3×#937—32no—
36C3×#935—32no—
37C3×#929—32no—
38C3×#929—61no—
39C3×C4×#67—22no—
40C3×C4×#67D312yescomplemented
41C3×C4×#67C2×C312yescomplemented
42C2×C3×(C2×D3)⋊C4—32no—
43C3×#924—32no—
44C3×#898—32no—
45C3×#896—32no—
46C3×#885—32no—
47C3×#883—32no—
48C3×D3×C22⋊C4—32no—
49C3×#877—32no—
50C3×#876—32no—
51C3×#872—32no—
52#63983C2×C311yescharacteristic
53#63969C2×C312yescomplemented
54#63953C2×C311yescharacteristic, complemented
55D3×(C2×D3)⋊C4C2×C312yescomplemented
56#63877C2×C312yescomplemented
57#63868C2×C312yescomplemented
58#63851C2×C312yescomplemented
59C23×C33C2311yescharacteristic
60C22×C3×C3⋊D3C2311yescharacteristic
61C22×C32×D3C2312yes—
62C2×C3×D32—24no—
63C2×C3×D32—41no—
64C2×C33×C4—41no—
65C2×C33×C4C2312yes—
66C3×#638—41no—
67C2×C3×C3⋊Dic3C2311yescharacteristic
68C2×C3×C3⋊Dic3C2312yes—
69C32×#67—24no—
70C2×C32×Dic3C2312yes—
71C2×C32×Dic3C2312yes—
72C2×C32×Dic3C2312yes—
73C32×C4×D3—42no—
74C3×#627—41no—
75C3×D3×Dic3—24no—
76C3×#551—91no—
77#5556—32no—
78C23×C3×D3—32no—
79C22×D32C22×C311yescharacteristic
80C2×C32×D4—32no—
81C22×C32×C4—21no—
82C22×C32×C4—22no—
83C22×C32×C4—32no—
84C22×C32×C4—41no—
85C22×C32×C4C2×D312yescomplemented
86C22×C32×C4C22×C311yescharacteristic, complemented
87C2×#638C22×C311yescharacteristic
88C2×C3×#67—22no—
89C2×C3×#67—32no—
90C2×C3×#67—61no—
91C2×C3×#67C2×D312yes—
92C2×C3×#67C22×C312yes—
93C22×C3×Dic3—32no—
94C2×C3×C4×D3—22no—
95C2×C3×C4×D3—32no—
96C2×C3×C4×D3C2×D312yes—
97C2×C3×C4×D3C22×C312yes—
98C2×C3×Dic6—32no—
99C2×#627C22×C311yescharacteristic, complemented
100C2×D3×Dic3C22×C312yes—
101C32×C4⋊C4—32no—
102C32×C22⋊C4—32no—
103C32×C22⋊C4—32no—
104C32×C42—32no—
105#3757C22×C311yescharacteristic, complemented
106#3752C22×C312yes—
107#3750C22×C312yescomplemented
108C3×#217—22no—
109C3×#217—32no—
110C3×#217—32no—
111C3×#217—32no—
112C3×#217—61no—
113C3×#217C2×D312yescomplemented
114C3×#217C22×C312yescomplemented
115C3×(C2×D3)⋊C4—22no—
116C3×(C2×D3)⋊C4—32no—
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4—32no—
120C3×(C2×D3)⋊C4—32no—
121C3×(C2×D3)⋊C4—32no—
122C3×(C2×D3)⋊C4—32no—
123C3×(C2×D3)⋊C4—62no—
124C3×(C2×D3)⋊C4C2×D312yes—
125C3×(C2×D3)⋊C4C22×C312yes—
126C3×C4⋊Dic3—32no—
127C3×Dic3⋊C4—22no—
128C3×Dic3⋊C4—32no—
129C3×Dic3⋊C4—32no—
130C3×Dic3⋊C4—32no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—62no—
134C3×Dic3⋊C4C2×D312yescomplemented
135C3×Dic3⋊C4C22×C312yescomplemented
136C3×C4×Dic3—22no—
137C3×C4×Dic3—32no—
138C3×C4×Dic3C2×D312yescomplemented
139C3×C4×Dic3C22×C312yescomplemented
140#3724C22×C312yescomplemented
141Dic3⋊Dic3C22×C312yescomplemented
142#3722C22×C311yescharacteristic
143#3722C22×C312yes—
144(C2×D3)⋊Dic3C22×C312yes—
145(C2×D3)⋊Dic3C22×C312yes—
146Dic32C22×C311yescharacteristic, complemented
147C22×C33—22no—
148C22×C33—21no—
149C22×C33C2411yescharacteristic
150C2×C3×C3⋊D3—22no—
151C2×C3×C3⋊D3—21no—
152C2×C32×D3—22no—
153C2×C32×D3—22no—
154C2×C32×D3#4114yes—
155C3×D32—44no—
156C33×C4—22no—
157C3×C3⋊Dic3—22no—
158C3×C3⋊Dic3—21no—
159C32×Dic3—22no—
160C32×Dic3—22no—
161C32×Dic3—22no—
162C3×#126—92no—
163C3×#124—91no—
164C3×#123—92no—
165C3×#123—91no—
166C3×C22⋊Q8—92no—
167C3×#120—91no—
168C3×C4×D4—32no—
169C3×C4×D4—32no—
170C3×C4×D4—62no—
171C3×#117—92no—
172C2×C3×C22⋊C4—92no—
173#937—32no—
174#935—32no—
175#929—32no—
176#929—61no—
177C4×#67C3×D312yescomplemented
178C2×(C2×D3)⋊C4—32no—
179#924—32no—
180#898—32no—
181#896—32no—
182#885—32no—
183#883—32no—
184D3×C22⋊C4—32no—
185#877—32no—
186#876—32no—
187#872—32no—
188C23×C32—21no—
189C23×C32—22no—
190C23×C32—32no—
191C23×C32—41no—
192C23×C32C22×D312yes—
193C23×C32C23×C311yescharacteristic
194C22×C3⋊D3C23×C311yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—32no—
197C22×C3×D3—61no—
198C22×C3×D3—64no—
199C22×C3×D3—64no—
200C22×C3×D3—122no—
201C22×C3×D3C22×D312yes—
202C22×C3×D3C23×C312yes—
203C2×D32—24no—
204C2×D32—41no—
205C32×D4—64no—
206C2×C32×C4—22no—
207C2×C32×C4—22no—
208C2×C32×C4—22no—
209C2×C32×C4—32no—
210C2×C32×C4—32no—
211C2×C32×C4—32no—
212C2×C32×C4—42no—
213C2×C32×C4—42no—
214C2×C32×C4—41no—
215C2×C32×C4—44no—
216C2×C32×C4—42no—
217C2×C32×C4—44no—
218C2×C32×C4—122no—
219C2×C32×C4C22×D312yes—
220C2×C32×C4C22×D312yes—
221C2×C32×C4C23×C312yes—
222#638—41no—
223C2×C3⋊Dic3C23×C311yescharacteristic
224C2×C3⋊Dic3C23×C312yes—
225C3×#67—28no—
226C3×#67—24no—
227C3×#67—24no—
228C3×#67—122no—
229C3×#67—122no—
230C2×C3×Dic3—22no—
231C2×C3×Dic3—22no—
232C2×C3×Dic3—22no—
233C2×C3×Dic3—32no—
234C2×C3×Dic3—32no—
235C2×C3×Dic3—32no—
236C2×C3×Dic3—61no—
237C2×C3×Dic3—62no—
238C2×C3×Dic3—64no—
239C2×C3×Dic3C22×D312yes—
240C2×C3×Dic3C22×D312yes—
241C2×C3×Dic3C22×D312yes—
242C2×C3×Dic3C23×C312yes—
243C2×C3×Dic3C23×C312yes—
244C2×C3×Dic3C23×C312yes—
245C3×C4×D3—42no—
246C3×C4×D3—42no—
247C3×C4×D3—44no—
248C3×C4×D3—64no—
249C3×Dic6—122no—
250#627—41no—
251D3×Dic3—24no—
252#551—91noSylow
253C2×C33—41no—
254C2×C33C2×#4112yes—
255C2×C33H(5,𝔽2)11yescharacteristic
256C3×C3⋊D3—41no—
257C32×D3—24no—
258C24×C3—91no—
259C23×D3—32no—
260C2×C3×Q8—91no—
261C2×C3×D4—32no—
262C2×C3×D4—32no—
263C2×C3×D4—62no—
264C2×C3×D4—91no—
265C22×C3×C4—21no—
266C22×C3×C4—22no—
267C22×C3×C4—32no—
268C22×C3×C4—32no—
269C22×C3×C4—41no—
270C22×C3×C4—62no—
271C22×C3×C4—92no—
272C22×C3×C4D3211yescharacteristic, complemented
273C22×C3×C4C2×C3×D312yescomplemented
274C2×#67—32no—
275C2×#67—61no—
276C2×#67C2×C3×D312yes—
277C22×Dic3—32no—
278C2×C4×D3—32no—
279C2×C4×D3C2×C3×D312yes—
280C2×Dic6—32no—
281C3×C4⋊C4—32no—
282C3×C4⋊C4—32no—
283C3×C4⋊C4—62no—
284C3×C4⋊C4—92no—
285C3×C4⋊C4—92no—
286C3×C4⋊C4—92no—
287C3×C22⋊C4—32no—
288C3×C22⋊C4—32no—
289C3×C22⋊C4—32no—
290C3×C22⋊C4—32no—
291C3×C22⋊C4—62no—
292C3×C22⋊C4—62no—
293C3×C22⋊C4—92no—
294C3×C22⋊C4—91no—
295C3×C22⋊C4—92no—
296C3×C22⋊C4—92no—
297C3×C22⋊C4—91no—
298C3×C22⋊C4—92no—
299C3×C42—32no—
300C3×C42—32no—
301C3×C42—62no—
302C3×C42—91no—
303#217—32no—
304#217—32no—
305#217—32no—
306#217—61no—
307#217C2×C3×D312yescomplemented
308(C2×D3)⋊C4—32no—
309(C2×D3)⋊C4—32no—
310(C2×D3)⋊C4—32no—
311(C2×D3)⋊C4—32no—
312(C2×D3)⋊C4—32no—
313(C2×D3)⋊C4—32no—
314(C2×D3)⋊C4—32no—
315(C2×D3)⋊C4—62no—
316(C2×D3)⋊C4C2×C3×D312yes—
317C4⋊Dic3—32no—
318Dic3⋊C4—32no—
319Dic3⋊C4—32no—
320Dic3⋊C4—32no—
321Dic3⋊C4—32no—
322Dic3⋊C4—32no—
323Dic3⋊C4—62no—
324Dic3⋊C4C2×C3×D312yescomplemented
325C4×Dic3—32no—
326C4×Dic3C2×C3×D312yescomplemented
327C22×C32—22no—
328C22×C32—21no—
329C22×C32—24no—
330C22×C32—22no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—21no—
335C22×C32—22no—
336C22×C32—34no—
337C22×C32—41no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—42no—
341C22×C32—42no—
342C22×C32—44no—
343C22×C32—62no—
344C22×C32—62no—
345C22×C32C23×D312yes—
346C22×C32C24×C311yescharacteristic
347C2×C3⋊D3—22no—
348C2×C3⋊D3—21no—
349C2×C3×D3—22no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—22no—
353C2×C3×D3—24no—
354C2×C3×D3—42no—
355C2×C3×D3—42no—
356C2×C3×D3—62no—
357C2×C3×D3—62no—
358C2×C3×D3—62no—
359C2×C3×D3—121no—
360C2×C3×D3—122no—
361C2×C3×D3—128no—
362C2×C3×D3#23514yes—
363C2×C3×D3C3×#4114yes—
364D32—44no—
365C32×C4—22no—
366C32×C4—24no—
367C32×C4—22no—
368C32×C4—22no—
369C32×C4—42no—
370C32×C4—42no—
371C32×C4—44no—
372C32×C4—62no—
373C32×C4—62no—
374C32×C4—62no—
375C3⋊Dic3—22no—
376C3⋊Dic3—21no—
377C3×Dic3—24no—
378C3×Dic3—22no—
379C3×Dic3—22no—
380C3×Dic3—22no—
381C3×Dic3—22no—
382C3×Dic3—22no—
383C3×Dic3—22no—
384C3×Dic3—42no—
385C3×Dic3—42no—
386C3×Dic3—62no—
387C3×Dic3—62no—
388C3×Dic3—62no—
389C3×Dic3—122no—
390C3×Dic3—121no—
391#126—92no—
392#124—91no—
393#123—92no—
394#123—91no—
395C22⋊Q8—92no—
396#120—91no—
397C4×D4—32no—
398#117—92no—
399C2×C22⋊C4—92no—
400C33#55111yescharacteristic, complemented, Sylow
401C23×C3—22no—
402C23×C3—21no—
403C23×C3—32no—
404C23×C3—32no—
405C23×C3—41no—
406C23×C3—62no—
407C23×C3—91no—
408C23×C3—184no—
409C23×C3—361no—
410C23×C3C2×D3211yescharacteristic
411C23×C3C22×C3×D312yes—
412C22×D3—32no—
413C22×D3—61no—
414C22×D3—64no—
415C22×D3—64no—
416C22×D3—122no—
417C22×D3C22×C3×D312yes—
418C3×Q8—361no—
419C3×D4—64no—
420C3×D4—64no—
421C3×D4—68no—
422C3×D4—361no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—32no—
427C2×C3×C4—32no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—32no—
431C2×C3×C4—32no—
432C2×C3×C4—41no—
433C2×C3×C4—42no—
434C2×C3×C4—44no—
435C2×C3×C4—42no—
436C2×C3×C4—44no—
437C2×C3×C4—42no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—91no—
442C2×C3×C4—92no—
443C2×C3×C4—122no—
444C2×C3×C4—122no—
445C2×C3×C4—124no—
446C2×C3×C4—184no—
447C2×C3×C4C2×D3212yes—
448C2×C3×C4C22×C3×D312yes—
449C2×C3×C4C22×C3×D312yes—
450#67—24no—
451#67—122no—
452#67—122no—
453C2×Dic3—32no—
454C2×Dic3—32no—
455C2×Dic3—32no—
456C2×Dic3—61no—
457C2×Dic3—62no—
458C2×Dic3—64no—
459C2×Dic3C22×C3×D312yes—
460C2×Dic3C22×C3×D312yes—
461C2×Dic3C22×C3×D312yes—
462C4×D3—42no—
463C4×D3—64no—
464Dic6—122no—
465C2×C32—22no—
466C2×C32—21no—
467C2×C32—22no—
468C2×C32—22no—
469C2×C32—22no—
470C2×C32—42no—
471C2×C32—41no—
472C2×C32—42no—
473C2×C32—44no—
474C2×C32—44no—
475C2×C32—42no—
476C2×C32—41no—
477C2×C32—64no—
478C2×C32C2×#23512yes—
479C2×C32#100412yes—
480C2×C32D3×#4112yes—
481C2×C32C2×C3×#4112yes—
482C2×C32C3×H(5,𝔽2)11yescharacteristic
483C3⋊D3—41no—
484C3×D3—24no—
485C3×D3—24no—
486C3×D3—44no—
487C3×D3—122no—
488C3×D3—241no—
489C24—91no—
490C2×Q8—91no—
491C2×D4—32no—
492C2×D4—91no—
493C22×C4—32no—
494C22×C4—92no—
495C22×C4C3×D3211yescharacteristic, complemented
496C4⋊C4—32no—
497C4⋊C4—92no—
498C4⋊C4—92no—
499C4⋊C4—92no—
500C22⋊C4—32no—
501C22⋊C4—32no—
502C22⋊C4—92no—
503C22⋊C4—91no—
504C22⋊C4—92no—
505C22⋊C4—92no—
506C22⋊C4—91no—
507C22⋊C4—92no—
508C42—32no—
509C42—91no—
510C22×C3—22no—
511C22×C3—24no—
512C22×C3—22no—
513C22×C3—21no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—21no—
518C22×C3—22no—
519C22×C3—34no—
520C22×C3—34no—
521C22×C3—42no—
522C22×C3—42no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—44no—
526C22×C3—41no—
527C22×C3—64no—
528C22×C3—62no—
529C22×C3—62no—
530C22×C3—62no—
531C22×C3—62no—
532C22×C3—122no—
533C22×C3—122no—
534C22×C3—182no—
535C22×C3—181no—
536C22×C3—364no—
537C22×C3C22×D3211yescharacteristic
538C22×C3C23×C3×D312yes—
539C2×D3—22no—
540C2×D3—22no—
541C2×D3—62no—
542C2×D3—62no—
543C2×D3—62no—
544C2×D3—121no—
545C2×D3—122no—
546C2×D3—128no—
547C2×D3C3×#23514yes—
548C3×C4—24no—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—42no—
553C3×C4—42no—
554C3×C4—44no—
555C3×C4—64no—
556C3×C4—62no—
557C3×C4—62no—
558C3×C4—62no—
559C3×C4—62no—
560C3×C4—62no—
561C3×C4—62no—
562C3×C4—122no—
563C3×C4—122no—
564C3×C4—182no—
565C3×C4—181no—
566Dic3—22no—
567Dic3—22no—
568Dic3—22no—
569Dic3—62no—
570Dic3—62no—
571Dic3—62no—
572Dic3—121no—
573Dic3—122no—
574C32—21no—
575C32—22no—
576C32—41no—
577C32#555612yescomplemented
578C32C3×#55111yescharacteristic, complemented
579C23—32no—
580C23—91no—
581C23—184no—
582C23—361no—
583C23C2×C3×D3211yescharacteristic
584Q8—361no—
585D4—64no—
586D4—361no—
587C2×C4—32no—
588C2×C4—32no—
589C2×C4—32no—
590C2×C4—41no—
591C2×C4—91no—
592C2×C4—92no—
593C2×C4—122no—
594C2×C4—184no—
595C2×C4C2×C3×D3212yes—
596C2×C3—21no—
597C2×C3—22no—
598C2×C3—22no—
599C2×C3—22no—
600C2×C3—22no—
601C2×C3—42no—
602C2×C3—44no—
603C2×C3—44no—
604C2×C3—41no—
605C2×C3—42no—
606C2×C3—41no—
607C2×C3—42no—
608C2×C3—64no—
609C2×C3—64no—
610C2×C3—124no—
611C2×C3—361no—
612C2×C3D3×#23512yes—
613C2×C3#6433011yescharacteristic
614C2×C3C2×C3×#23512yes—
615C2×C3C3×#100412yes—
616C2×C3C3×D3×#4112yes—
617D3—24no—
618D3—122no—
619D3—241no—
620C22—21no—
621C22—22no—
622C22—34no—
623C22—62no—
624C22—62no—
625C22—181no—
626C22—182no—
627C22—364no—
628C22C22×C3×D3211yescharacteristic
629C4—22no—
630C4—62no—
631C4—62no—
632C4—62no—
633C4—181no—
634C4—182no—
635C3—21no—
636C3—22no—
637C3—41no—
638C3#1059508711yescharacteristic, direct product factor
639C3C3×#555612yescomplemented
640C2—41no—
641C2—64no—
642C2—361no—
643C2C3×D3×#23512yes—
644C2C3×#6433011yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
prime radicalC3×#63983C2
hypercenterC22×C3×C4D32
hypocenterC32C3×#551
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C3×#64138C2semidirect
2. C32×C4×#67C2semidirect
4. C3×#63969C2semidirect
5. C3×#63953C2semidirect
6. C3×D3×(C2×D3)⋊C4C2semidirect
7. C3×#63877C2semidirect
8. C3×#63868C2semidirect
9. C3×#63851C2semidirect
11. #10595087C3direct (N × H)
13. C22×C33×C4C22semidirect
17. C2×C3×#627C22semidirect
19. C3×#3757C22semidirect
21. C3×#3750C22semidirect
22. C32×#217C22semidirect
24. C32×Dic3⋊C4C22semidirect
25. C32×C4×Dic3C22semidirect
26. C3×#3724C22semidirect
27. C3×Dic3⋊Dic3C22semidirect
32. C3×Dic32C22semidirect
34. #64138C2×C3semidirect
40. C3×C4×#67D3semidirect
41. C3×C4×#67C2×C3semidirect
53. #63969C2×C3semidirect
54. #63953C2×C3semidirect
55. D3×(C2×D3)⋊C4C2×C3semidirect
56. #63877C2×C3semidirect
57. #63868C2×C3semidirect
58. #63851C2×C3semidirect
85. C22×C32×C4C2×D3semidirect
86. C22×C32×C4C22×C3semidirect
99. C2×#627C22×C3semidirect
105. #3757C22×C3semidirect
107. #3750C22×C3semidirect
113. C3×#217C2×D3semidirect
114. C3×#217C22×C3semidirect
134. C3×Dic3⋊C4C2×D3semidirect
135. C3×Dic3⋊C4C22×C3semidirect
138. C3×C4×Dic3C2×D3semidirect
139. C3×C4×Dic3C22×C3semidirect
140. #3724C22×C3semidirect
141. Dic3⋊Dic3C22×C3semidirect
146. Dic32C22×C3semidirect
177. C4×#67C3×D3semidirect
272. C22×C3×C4D32semidirect
273. C22×C3×C4C2×C3×D3semidirect
307. #217C2×C3×D3semidirect
324. Dic3⋊C4C2×C3×D3semidirect
326. C4×Dic3C2×C3×D3semidirect
400. C33#551semidirect
495. C22×C4C3×D32semidirect
577. C32#5556semidirect
578. C32C3×#551semidirect
638. C3#10595087direct (N × H)
639. C3C3×#5556semidirect

Maximal subgroups

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

subgroupindex
C3×#641382
C32×C4×#672
C3×#639832
C3×#639692
C3×#639532
C3×D3×(C2×D3)⋊C42
C3×#638772
C3×#638682
C3×#638512
C3×#55563
#105950873