Finite Group Databasebeta

← C3×#33080 #10651687

Subgroups — C3×#33080 #10651687

Order 768.

906 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2860C211yesmaximal, characteristic, complemented
2C3×C42×D4C211yesmaximal, characteristic, complemented
3C3×#1926C211yesmaximal, characteristic, complemented
4C3×#1926C211yesmaximal, characteristic, complemented
5C3×#1925C211yesmaximal, characteristic, complemented
6C3×#1921C211yesmaximal, characteristic, complemented
7C3×#1920C211yesmaximal, characteristic, complemented
8C3×#1919C211yesmaximal, characteristic, complemented
9C3×#1879C211yesmaximal, characteristic
10C3×#1879C211yesmaximal, characteristic
11C3×#1879C211yesmaximal, characteristic
12C3×#1864C211yesmaximal, characteristic, complemented
13C3×#1864C211yesmaximal, characteristic, complemented
14C3×#1862C211yesmaximal, characteristic, complemented
15C3×#1839C211yesmaximal, characteristic, complemented
16#33080C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#126—21no—
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C22×C3×C42—21no—
23C2×C3×#107C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C3×#390C2211yescharacteristic
33C3×#390C2211yescharacteristic
34C3×#390C2211yescharacteristic
35C3×#389C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#388—21no—
39C3×#388—21no—
40C3×#388—21no—
41C3×C4×C4⋊C4C2211yescharacteristic
42C3×C4×C4⋊C4C2211yescharacteristic
43C3×C4×C4⋊C4C2211yescharacteristic
44C3×C4×C22⋊C4—21no—
45C3×C4×C22⋊C4—21no—
46C3×C4×C22⋊C4—21no—
47C3×C43C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#336C2211yescharacteristic
55C3×#336C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2860C2×C311yescharacteristic, complemented
61C42×D4C2×C311yescharacteristic, complemented
62#1926C2×C311yescharacteristic, complemented
63#1926C2×C311yescharacteristic, complemented
64#1925C2×C311yescharacteristic, complemented
65#1921C2×C311yescharacteristic, complemented
66#1920C2×C311yescharacteristic, complemented
67#1919C2×C311yescharacteristic, complemented
68#1879C2×C311yescharacteristic
69#1879C2×C311yescharacteristic
70#1879C2×C311yescharacteristic
71#1864C2×C311yescharacteristic, complemented
72#1864C2×C311yescharacteristic, complemented
73#1862C2×C311yescharacteristic, complemented
74#1839C2×C311yescharacteristic, complemented
75C22×C3×D4C2311yescharacteristic
76C22×C3×D4C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4—21no—
79C23×C3×C4—21no—
80C2×C3×D8—22no—
81C2×C3×D8—22no—
82C2×C3×D8—22no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#126—44no—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×C4×D4—22no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C42—21no—
113C2×C3×C42—21no—
114C2×C3×C42—21no—
115C2×C3×C42—44no—
116C2×C3×C42D411yescharacteristic
117C2×C3×C42D411yescharacteristic
118C2×C3×C42D411yescharacteristic
119C2×C3×C42D411yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—22no—
124C3×#106—22no—
125C3×#106—22no—
126C3×#102—22no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—22no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C22×D8C22×C311yescharacteristic
139C2×#126—21no—
140C2×C4×D4C22×C311yescharacteristic
141C2×C4×D4C22×C311yescharacteristic
142C2×C4×D4C22×C311yescharacteristic
143C22×C42—21no—
144C2×#107C22×C311yescharacteristic
145C2×#106C22×C311yescharacteristic
146C2×#106C22×C311yescharacteristic
147C2×#102C22×C311yescharacteristic
148C2×#102C22×C311yescharacteristic
149C2×#102C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153#390C22×C311yescharacteristic
154#390C22×C311yescharacteristic
155#390C22×C311yescharacteristic
156#389C22×C311yescharacteristic
157#389C22×C311yescharacteristic
158#389C22×C311yescharacteristic
159#388—21no—
160#388—21no—
161#388—21no—
162C4×C4⋊C4C22×C311yescharacteristic
163C4×C4⋊C4C22×C311yescharacteristic
164C4×C4⋊C4C22×C311yescharacteristic
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C43C22×C311yescharacteristic
169#340C22×C311yescharacteristic
170#340C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#336C22×C311yescharacteristic
176#336C22×C311yescharacteristic
177#336C22×C311yescharacteristic
178#336C22×C311yescharacteristic
179#336C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181C24×C3—21no—
182C24×C3—21no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4#4112yes—
193C2×C3×D4#4112yes—
194C2×C3×D4#4112yes—
195C22×C3×C4—24no—
196C22×C3×C4—24no—
197C22×C3×C4—24no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—42no—
205C22×C3×C4—42no—
206C22×C3×C4—42no—
207C22×C3×C4—42no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2411yescharacteristic
217C3×D8—44no—
218C2×C3×C8—21no—
219C2×C3×C8—21no—
220C2×C3×C8—21no—
221C2×C3×C8—21no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C3×C4⋊C4—21no—
231C3×C4⋊C4—21no—
232C3×C4⋊C4—21no—
233C3×C4⋊C4—21no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—42no—
240C3×C4⋊C4—42no—
241C3×C4⋊C4—42no—
242C3×C4⋊C4#4112yes—
243C3×C4⋊C4#4112yes—
244C3×C4⋊C4#4112yes—
245C3×C22⋊C4—24no—
246C3×C22⋊C4—24no—
247C3×C22⋊C4—24no—
248C3×C22⋊C4—42no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—42no—
251C3×C22⋊C4—42no—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—42no—
254C3×C42—22no—
255C3×C42—22no—
256C3×C42—22no—
257C3×C42—21no—
258C3×C42—21no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42—41no—
264C3×C42—42no—
265C3×C42—42no—
266C3×C42—42no—
267C22×D4C23×C311yescharacteristic
268C22×D4C23×C311yescharacteristic
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C2×D8—22no—
273C2×D8—22no—
274C2×D8—22no—
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279#126—44no—
280C4×D4—22no—
281C4×D4—22no—
282C4×D4—22no—
283C4×D4—22no—
284C4×D4—22no—
285C4×D4—22no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4C23×C311yescharacteristic
290C2×C4⋊C4C23×C311yescharacteristic
291C2×C4⋊C4C23×C311yescharacteristic
292C2×C4⋊C4C23×C311yescharacteristic
293C2×C4⋊C4C23×C311yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C42—21no—
305C2×C42—21no—
306C2×C42—21no—
307C2×C42—44no—
308C2×C42C3×D411yescharacteristic
309C2×C42C3×D411yescharacteristic
310C2×C42C3×D411yescharacteristic
311C2×C42C3×D411yescharacteristic
312C2×C42C23×C311yescharacteristic
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#107—22no—
316#106—22no—
317#106—22no—
318#102—22no—
319#102—22no—
320#102—22no—
321#102—22no—
322#102—22no—
323#102—22no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—22no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3C22×D411yescharacteristic
345C3×D4—22no—
346C3×D4—22no—
347C3×D4—22no—
348C3×D4—41no—
349C3×D4—41no—
350C3×D4—41no—
351C3×D4—41no—
352C3×D4#12614yescomplemented
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—21no—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—48no—
372C2×C3×C4—48no—
373C2×C3×C4—48no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4#13512yes—
390C2×C3×C4AGL(1,ℤ/8)12yes—
391C2×C3×C4AGL(1,ℤ/8)12yes—
392C2×C3×C4C2×#4111yescharacteristic
393C2×C3×C4C2×#4111yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4C2×#4111yescharacteristic
398C3×C8—41no—
399C3×C8—41no—
400C3×C8—41no—
401C3×C8—41no—
402C24—21no—
403C24—21no—
404C2×D4—21no—
405C2×D4—21no—
406C2×D4—21no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4C3×#4112yes—
414C2×D4C3×#4112yes—
415C2×D4C3×#4112yes—
416C22×C4—24no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D411yescharacteristic
434C22×C4C2×C3×D411yescharacteristic
435C22×C4C2×C3×D411yescharacteristic
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C24×C311yescharacteristic
438D8—44no—
439C2×C8—21no—
440C2×C8—21no—
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C4⋊C4—21no—
452C4⋊C4—21no—
453C4⋊C4—21no—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—42no—
461C4⋊C4—42no—
462C4⋊C4—42no—
463C4⋊C4C3×#4112yes—
464C4⋊C4C3×#4112yes—
465C4⋊C4C3×#4112yes—
466C22⋊C4—24no—
467C22⋊C4—24no—
468C22⋊C4—24no—
469C22⋊C4—42no—
470C22⋊C4—42no—
471C22⋊C4—42no—
472C22⋊C4—42no—
473C22⋊C4—42no—
474C22⋊C4—42no—
475C42—22no—
476C42—22no—
477C42—22no—
478C42—21no—
479C42—21no—
480C42—21no—
481C42—21no—
482C42—21no—
483C42—21no—
484C42—41no—
485C42—42no—
486C42—42no—
487C42—42no—
488C22×C3—24no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—81no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3#52511yescharacteristic
503C22×C3#52511yescharacteristic
504C22×C3#52511yescharacteristic
505C22×C3C2×#13511yescharacteristic
506C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
507C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
508C22×C3#57511yescharacteristic
509C3×C4—22no—
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—41no—
513C3×C4—42no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—42no—
517C3×C4—41no—
518C3×C4—81no—
519C3×C4—81no—
520C3×C4—81no—
521C3×C4C2×#12611yescharacteristic
522C3×C4#52911yescharacteristic
523C3×C4#52911yescharacteristic
524C3×C4#52911yescharacteristic
525C23—22no—
526C23—22no—
527C23—22no—
528C23—41no—
529C23—41no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23C22×C3×D411yescharacteristic
540D4—22no—
541D4—22no—
542D4—22no—
543D4—41no—
544D4—41no—
545D4—41no—
546D4—41no—
547D4C3×#12614yescomplemented
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—48no—
567C2×C4—48no—
568C2×C4—48no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4C3×#13512yes—
585C2×C4C3×AGL(1,ℤ/8)12yes—
586C2×C4C3×AGL(1,ℤ/8)12yes—
587C2×C4C2×C3×#4111yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C2×C3×#4111yescharacteristic
590C2×C4C2×C3×#4111yescharacteristic
591C2×C4C2×C3×#4111yescharacteristic
592C2×C4C2×C3×#4111yescharacteristic
593C8—41no—
594C8—41no—
595C8—41no—
596C8—41no—
597C2×C3—44no—
598C2×C3—161no—
599C2×C3#285211yescharacteristic
600C2×C3#310211yescharacteristic
601C2×C3#310511yescharacteristic
602C2×C3#310611yescharacteristic
603C2×C3#310911yescharacteristic
604C2×C3#311411yescharacteristic
605C2×C3#311511yescharacteristic
606C22—24no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22C3×#52511yescharacteristic
621C22C3×#52511yescharacteristic
622C22C3×#52511yescharacteristic
623C22C2×C3×#13511yescharacteristic
624C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
625C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
626C22C3×#57511yescharacteristic
627C4—22no—
628C4—22no—
629C4—22no—
630C4—41no—
631C4—42no—
632C4—41no—
633C4—42no—
634C4—42no—
635C4—41no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4C2×C3×#12611yescharacteristic
640C4C3×#52911yescharacteristic
641C4C3×#52911yescharacteristic
642C4C3×#52911yescharacteristic
643C3#3308011yescharacteristic, direct product factor, Sylow
644C2—44no—
645C2—161no—
646C2C3×#285211yescharacteristic
647C2C3×#310211yescharacteristic
648C2C3×#310511yescharacteristic
649C2C3×#310611yescharacteristic
650C2C3×#310911yescharacteristic
651C2C3×#311411yescharacteristic
652C2C3×#311511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2860C2semidirect
2. C3×C42×D4C2semidirect
3. C3×#1926C2semidirect
4. C3×#1926C2semidirect
5. C3×#1925C2semidirect
6. C3×#1921C2semidirect
7. C3×#1920C2semidirect
8. C3×#1919C2semidirect
12. C3×#1864C2semidirect
13. C3×#1864C2semidirect
14. C3×#1862C2semidirect
15. C3×#1839C2semidirect
16. #33080C3direct (N × H)
60. #2860C2×C3semidirect
61. C42×D4C2×C3semidirect
62. #1926C2×C3semidirect
63. #1926C2×C3semidirect
64. #1925C2×C3semidirect
65. #1921C2×C3semidirect
66. #1920C2×C3semidirect
67. #1919C2×C3semidirect
71. #1864C2×C3semidirect
72. #1864C2×C3semidirect
73. #1862C2×C3semidirect
74. #1839C2×C3semidirect
352. C3×D4#126semidirect
547. D4C3×#126semidirect
643. C3#33080direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#28602
C3×C42×D42
C3×#19262
C3×#19252
C3×#19212
C3×#19202
C3×#19192
C3×#18792
C3×#18642
C3×#18622
C3×#18392
#330803