Finite Group Databasebeta

← C3×#26412 #10645019

Subgroups — C3×#26412 #10645019

Order 768.

818 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2440C211yesmaximal, characteristic
2C3×#2360C211yesmaximal, characteristic
3C3×#2099C211yesmaximal, characteristic, complemented
4C3×#2088C211yesmaximal, characteristic, complemented
5C3×#2066C211yesmaximal, characteristic, complemented
6C3×#2024C211yesmaximal, characteristic, complemented
7C3×#1988C211yesmaximal, characteristic, complemented
8C3×#1919C211yesmaximal, characteristic, complemented
9C3×#1892C211yesmaximal, characteristic
10C3×#1872C211yesmaximal, characteristic
11C3×#1865C211yesmaximal, characteristic, complemented
12C3×#1853C211yesmaximal, characteristic
13C3×#1850C211yesmaximal, characteristic
14C3×#1803C211yesmaximal, characteristic, complemented
15C2×C3×#340C211yesmaximal, characteristic
16#26412C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8—21no—
20C2×C3×C22⋊Q8C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#103C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C3×#398—21no—
34C3×#395—21no—
35C3×#391C2211yescharacteristic
36C3×#389—21no—
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#387—21no—
41C3×#385—21no—
42C3×#385—21no—
43C3×#384C2211yescharacteristic
44C3×#380C2211yescharacteristic
45C3×C4×C4⋊C4C2211yescharacteristic
46C3×C4×C22⋊C4—21no—
47C3×C4×C22⋊C4C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2440C2×C311yescharacteristic
61#2360C2×C311yescharacteristic
62#2099C2×C311yescharacteristic, complemented
63#2088C2×C311yescharacteristic, complemented
64#2066C2×C311yescharacteristic, complemented
65#2024C2×C311yescharacteristic, complemented
66#1988C2×C311yescharacteristic, complemented
67#1919C2×C311yescharacteristic, complemented
68#1892C2×C311yescharacteristic
69#1872C2×C311yescharacteristic
70#1865C2×C311yescharacteristic, complemented
71#1853C2×C311yescharacteristic
72#1850C2×C311yescharacteristic
73#1803C2×C311yescharacteristic, complemented
74C2×#340C2×C311yescharacteristic
75C22×C3×Q8—21no—
76C22×C3×Q8C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C22×C3×C8—22no—
81C22×C3×C8—41no—
82C22×C3×C8—41no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×C4⋊Q8—22no—
88C3×C4⋊Q8—41no—
89C3×C22⋊Q8—22no—
90C3×C22⋊Q8—44no—
91C3×C22⋊Q8Q814yescomplemented
92C3×C4×Q8—22no—
93C3×C4×Q8—41no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—22no—
96C2×C3×C4⋊C4—22no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—41no—
107C2×C3×C4⋊C4—41no—
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#106—22no—
124C3×#106—41no—
125C3×C4⋊C8—41no—
126C3×C4⋊C8—41no—
127C3×#103—22no—
128C3×#103—41no—
129C3×#103—41no—
130C3×#103—41no—
131C3×C22⋊C8—22no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95D411yescharacteristic
140C3×#95D411yescharacteristic
141C23×C8C22×C311yescharacteristic
142C2×C4⋊Q8C22×C311yescharacteristic
143C2×C22⋊Q8—21no—
144C2×C22⋊Q8C22×C311yescharacteristic
145C2×C4×Q8C22×C311yescharacteristic
146C22×C4⋊C4C22×C311yescharacteristic
147C22×C4⋊C4C22×C311yescharacteristic
148C2×#106C22×C311yescharacteristic
149C2×#106C22×C311yescharacteristic
150C2×C4⋊C8C22×C311yescharacteristic
151C2×C4⋊C8C22×C311yescharacteristic
152C2×#103C22×C311yescharacteristic
153C2×#103C22×C311yescharacteristic
154C2×#103C22×C311yescharacteristic
155C2×#103C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157#398—21no—
158#395—21no—
159#391C22×C311yescharacteristic
160#389—21no—
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#389C22×C311yescharacteristic
164#387—21no—
165#385—21no—
166#385—21no—
167#384C22×C311yescharacteristic
168#380C22×C311yescharacteristic
169C4×C4⋊C4C22×C311yescharacteristic
170C4×C22⋊C4—21no—
171C4×C22⋊C4C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184C24×C3C2×D411yescharacteristic
185C2×C3×Q8—21no—
186C2×C3×Q8—21no—
187C2×C3×Q8—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—42no—
191C2×C3×Q8—42no—
192C2×C3×Q8—81no—
193C2×C3×Q8C2×Q812yes—
194C22×C3×C4—21no—
195C22×C3×C4—21no—
196C22×C3×C4—21no—
197C22×C3×C4—21no—
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—21no—
205C22×C3×C4—21no—
206C22×C3×C4—42no—
207C22×C3×C4—42no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4—81no—
211C22×C3×C4—81no—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×Q812yes—
218C22×C3×C4#4112yes—
219C22×C3×C4C2411yescharacteristic
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—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—44no—
233C3×C4⋊C4—24no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4C2×Q812yes—
255C3×C4⋊C4#4112yes—
256C3×C4⋊C4#4112yes—
257C3×C22⋊C4—24no—
258C3×C22⋊C4—22no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4SD1614yes—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—42no—
266C3×C42—81no—
267C22×Q8—21no—
268C22×Q8C23×C311yescharacteristic
269C23×C4—21no—
270C23×C4—21no—
271C23×C4C23×C311yescharacteristic
272C22×C8—22no—
273C22×C8—41no—
274C22×C8—41no—
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C4⋊Q8—22no—
280C4⋊Q8—41no—
281C22⋊Q8—22no—
282C22⋊Q8—44no—
283C22⋊Q8C3×Q814yescomplemented
284C4×Q8—22no—
285C4×Q8—41no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—41no—
299C2×C4⋊C4—41no—
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4C3×D411yescharacteristic
310C2×C22⋊C4C3×D411yescharacteristic
311C2×C42—21no—
312C2×C42—21no—
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#106—22no—
316#106—41no—
317C4⋊C8—41no—
318C4⋊C8—41no—
319#103—22no—
320#103—41no—
321#103—41no—
322#103—41no—
323C22⋊C8—22no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95C3×D411yescharacteristic
332#95C3×D411yescharacteristic
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3C22⋊Q812yes—
338C23×C3C2×SD1612yes—
339C23×C3#13712yes—
340C23×C3C22×D411yescharacteristic
341C3×Q8—22no—
342C3×Q8—22no—
343C3×Q8—41no—
344C3×Q8—41no—
345C3×Q8—84no—
346C2×C3×C4—21no—
347C2×C3×C4—21no—
348C2×C3×C4—21no—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—22no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—41no—
367C2×C3×C4—41no—
368C2×C3×C4—41no—
369C2×C3×C4—41no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
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—84no—
387C2×C3×C4—84no—
388C2×C3×C4C22⋊Q812yes—
389C2×C3×C4C2×SD1612yes—
390C2×C3×C4C2×SD1612yes—
391C2×C3×C4C22×Q811yescharacteristic
392C2×C3×C4C2×#4111yescharacteristic
393C2×C3×C4C2×#4111yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4H(5,𝔽2)11yescharacteristic
396C2×C3×C4H(5,𝔽2)11yescharacteristic
397C3×C8—41no—
398C3×C8—41no—
399C3×C8—41no—
400C3×C8—41no—
401C24C2×C3×D411yescharacteristic
402C2×Q8—21no—
403C2×Q8—21no—
404C2×Q8—21no—
405C2×Q8—21no—
406C2×Q8—21no—
407C2×Q8—42no—
408C2×Q8—42no—
409C2×Q8—81no—
410C2×Q8C2×C3×Q812yes—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—81no—
428C22×C4—81no—
429C22×C4C2×C3×D411yescharacteristic
430C22×C4C2×C3×D411yescharacteristic
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D411yescharacteristic
434C22×C4C2×C3×Q812yes—
435C22×C4C3×#4112yes—
436C22×C4C24×C311yescharacteristic
437C2×C8—21no—
438C2×C8—21no—
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—44no—
450C4⋊C4—24no—
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—21no—
461C4⋊C4—21no—
462C4⋊C4—42no—
463C4⋊C4—42no—
464C4⋊C4—42no—
465C4⋊C4—42no—
466C4⋊C4—42no—
467C4⋊C4—42no—
468C4⋊C4—42no—
469C4⋊C4—81no—
470C4⋊C4—81no—
471C4⋊C4C2×C3×Q812yes—
472C4⋊C4C3×#4112yes—
473C4⋊C4C3×#4112yes—
474C22⋊C4—24no—
475C22⋊C4—22no—
476C22⋊C4—42no—
477C22⋊C4C3×SD1614yes—
478C42—21no—
479C42—21no—
480C42—21no—
481C42—21no—
482C42—42no—
483C42—81no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3#47514yes—
491C22×C3C2×C22⋊Q811yescharacteristic
492C22×C3#54611yescharacteristic
493C22×C3#54611yescharacteristic
494C22×C3C22×SD1611yescharacteristic
495C22×C3C2×#13711yescharacteristic
496C22×C3#57611yescharacteristic
497C22×C3#57811yescharacteristic
498C3×C4—22no—
499C3×C4—22no—
500C3×C4—22no—
501C3×C4—42no—
502C3×C4—42no—
503C3×C4—42no—
504C3×C4—41no—
505C3×C4—41no—
506C3×C4—42no—
507C3×C4—81no—
508C3×C4—81no—
509C3×C4—81no—
510C3×C4—81no—
511C3×C4#52911yescharacteristic
512C3×C4#53811yescharacteristic
513C3×C4#55411yescharacteristic
514C3×C4#55411yescharacteristic
515C23—21no—
516C23—21no—
517C23—21no—
518C23—21no—
519C23C3×C22⋊Q812yes—
520C23C2×C3×SD1612yes—
521C23C3×#13712yes—
522C23C22×C3×D411yescharacteristic
523Q8—22no—
524Q8—22no—
525Q8—41no—
526Q8—41no—
527Q8—84no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—84no—
569C2×C4—84no—
570C2×C4C3×C22⋊Q812yes—
571C2×C4C2×C3×SD1612yes—
572C2×C4C2×C3×SD1612yes—
573C2×C4C22×C3×Q811yescharacteristic
574C2×C4C2×C3×#4111yescharacteristic
575C2×C4C2×C3×#4111yescharacteristic
576C2×C4C2×C3×#4111yescharacteristic
577C2×C4C3×H(5,𝔽2)11yescharacteristic
578C2×C4C3×H(5,𝔽2)11yescharacteristic
579C8—41no—
580C8—41no—
581C8—41no—
582C8—41no—
583C2×C3—24no—
584C2×C3#245011yescharacteristic
585C2×C3C2×#47511yescharacteristic
586C2×C3#308311yescharacteristic
587C2×C3#329511yescharacteristic
588C2×C3#329811yescharacteristic
589C2×C3#331211yescharacteristic
590C2×C3#331411yescharacteristic
591C22—22no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22C3×#47514yes—
598C22C2×C3×C22⋊Q811yescharacteristic
599C22C3×#54611yescharacteristic
600C22C3×#54611yescharacteristic
601C22C22×C3×SD1611yescharacteristic
602C22C2×C3×#13711yescharacteristic
603C22C3×#57611yescharacteristic
604C22C3×#57811yescharacteristic
605C4—22no—
606C4—22no—
607C4—22no—
608C4—42no—
609C4—42no—
610C4—41no—
611C4—41no—
612C4—42no—
613C4—42no—
614C4—81no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4C3×#52911yescharacteristic
619C4C3×#53811yescharacteristic
620C4C3×#55411yescharacteristic
621C4C3×#55411yescharacteristic
622C3#2641211yescharacteristic, direct product factor, Sylow
623C2—24no—
624C2C3×#245011yescharacteristic
625C2C2×C3×#47511yescharacteristic
626C2C3×#308311yescharacteristic
627C2C3×#329511yescharacteristic
628C2C3×#329811yescharacteristic
629C2C3×#331211yescharacteristic
630C2C3×#331411yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC24×C3C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
3. C3×#2099C2semidirect
4. C3×#2088C2semidirect
5. C3×#2066C2semidirect
6. C3×#2024C2semidirect
7. C3×#1988C2semidirect
8. C3×#1919C2semidirect
11. C3×#1865C2semidirect
14. C3×#1803C2semidirect
16. #26412C3direct (N × H)
62. #2099C2×C3semidirect
63. #2088C2×C3semidirect
64. #2066C2×C3semidirect
65. #2024C2×C3semidirect
66. #1988C2×C3semidirect
67. #1919C2×C3semidirect
70. #1865C2×C3semidirect
73. #1803C2×C3semidirect
91. C3×C22⋊Q8Q8semidirect
283. C22⋊Q8C3×Q8semidirect
622. C3#26412direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24402
C3×#23602
C3×#20992
C3×#20882
C3×#20662
C3×#20242
C3×#19882
C3×#19192
C3×#18922
C3×#18722
C3×#18652
C3×#18532
C3×#18502
C3×#18032
C2×C3×#3402
#264123